============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 14064 was started by veroff on b146-04, Wed Dec 2 21:03:43 2020 The command was "prover9 -f nil3_25.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file nil3_25.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(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl"). end_of_list. formulas(hints). a(a(x,a(y,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(a(c32,a(c33,c34,c35),c36),c37,c38) != 1. (1 * x) * 1 = x. x * (1 * 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 * (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) / 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 != x * y | 1 = y. x * y != x | 1 = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x * y != z \ (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 * y) * u) / u | x = z. ((x * y) * z) / z != u * y | u = x. 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 \ ((x / y) * (y * z)) = L(z,y,x / y). (x * (y / z)) \ (x * y) = L(z,y / z,x). L(x,y / x,z) = (z * (y / x)) \ (z * y). ((x / (y * z)) * y) \ x = L(z,y,x / (y * z)). L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. (x * y) / (x * y) = R(1,x,y). ((x * 1) * y) / y = R(x,1,y). (x * y) / (y * 1) = R(x,y,1). (x * y) / ((z \ x) * y) = R(z,z \ x,y). R(x,x \ y,z) = (y * z) / ((x \ y) * z). x / (y * ((z * y) \ x)) = R(z,y,(z * y) \ x). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). ((x * y) * (y \ z)) / z = R(x,y,y \ z). R(x,y,z) * (y * z) = (x * y) * z. (x * y) / (z * y) = R(x / z,z,y). R(x / y,y,z) = (x * z) / (y * z). ((x * (y / z)) * z) / y = R(x,y / z,z). T(x,x) = x. x * T(y,x) = y * x. (x \ y) \ y = T(x,x \ y). T(x,x \ y) = (x \ y) \ y. x \ y = T(y / x,x). T(x / y,y) = y \ x. 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). 1 = K(x,x). K(x,x) = 1. 1 = L(1,x,y). L(1,x,y) = 1. x * y != z | y = x \ z. 1 * 1 = x \ x. x \ x = 1 * 1. x \ x != y | 1 = y. L(1,x,y) != z | 1 = z. x * y != z | x = z / y. x * (y * z) = ((x * y) * z) / a(x,y,z). ((x * y) * z) / a(x,y,z) = x * (y * z). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). x * y = R(z,x,y) \ ((z * x) * y). R(x,y,z) \ ((x * y) * z) = y * z. R(x,y,y \ z) * z = (x * y) * (y \ z). R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x * y != z | x \ (u * (u \ z)) = y. x \ (y * (y \ x)) = 1. x * y != z | x \ (z * 1) = y. 1 \ (x * 1) = x. x * y != (z / u) * u | x \ z = y. (((x / y) * y) / z) \ x = z. x * y != z * (z \ u) | x \ u = y. ((x * (x \ y)) / z) \ y = z. x * y != z \ (z * u) | x \ u = y. 1 \ x = y \ (y * x). x \ (x * y) = 1 \ y. x * y != 1 * z | x \ z = y. 1 \ x = 1 * x. x != y | z != y | z \ x = 1. (x * y) \ z = L(y \ (x \ z),y,x). L(x \ (y \ z),x,y) = (y * x) \ z. x * (y * (y \ T(z,x))) = z * x. x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x * y = (x * (y * z)) / L(z,y,x). (x * (y * z)) / L(z,y,x) = x * y. x * y != z * (u * (u \ (z \ (x * w)))) | y = w. L(x \ (y \ ((y * x) * z)),x,y) = z. x * L(y,z \ x,z) = z * ((z \ x) * y). x * L(y,z,x / z) = (x / z) * (z * y). x * (y * z) != (x * y) * 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 * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). (x * (y * z)) * L(u,L(z,y,x),x * y) = (x * y) * (L(z,y,x) * u). x != y | z != y | z = x. x != y | x = (y / z) * z. (x * y) / y = (x / z) * z. x * (x \ y) = (y / z) * z. (x / y) * y = z * (z \ x). x * 1 = (x / y) * y. (x / y) * y = x * 1. 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 | x = y. x * T(y / x,x) = y. x != y * (y \ z) | x = z. (x \ y) * T(x,x \ y) = y. x * y != z * u | x \ (u * T(z,u)) = y. x \ (y * T(x,y)) = y. 1 * x != y * 1 | x = y. T(x,1) = x. T(x,1) = x * 1. x * 1 = T(x,1). x * (y * T(z,y)) = x * (z * y). x = (y * x) / T(y,x). (x * y) / T(x,y) = y. T((x * y) / x,x) = y. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x * y != z | y * u != z | u = T(x,y). x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. (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). R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). x != y | z * u != y | u \ x = T(z,u). x != y | z * u != y | T(z,u) = u \ x. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). x != y | z != y | 1 = z / x. x != y | z != y | z / x = 1. x * 1 != y * z | y \ x = z. x * (y * (y \ 1)) != z | z = x. x * ((1 / y) * y) != z | z = x. x * (x \ y) != z | z = y. (x * (y * z)) * a(x,y,z) != u | u = (x * y) * z. (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. (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 != L(T(y,z),u,w) | x = T(L(y,u,w),z). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). x != y \ (z * y) | x = T(z,y). L(T(x,y),y,x) = T(x,x * y). (x * (y \ z)) \ (x * z) = L(T(y,y \ z),y \ z,x). L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),T(x,y),y). (x / y) \ x = z * (z \ y). (x / (1 * y)) \ x = y. ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. (x / y) * y != z | z = x. ((x / (y / z)) \ x) \ y = z. 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 * T(u,z) | (u * z) / y = x. (x * y) / T(y,T(x,y)) = T(x,y). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * y != (z * (u * w)) * a(z,u,w) | ((z * u) * w) / y = x. ((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z). x * y != (z / u) \ z | u / y = x. x / 1 = (y / x) \ y. (x / y) \ x = y / 1. x * y != (z / u) * u | z / y = x. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. x / (y \ ((x / z) * z)) = y. x * y != z * (z \ u) | u / y = x. x / T(y,y \ x) = y \ x. x * y != 1 * z | z / y = x. x / 1 = 1 * x. x / 1 != y | y = x. x / (y * (y \ 1)) != z | z = x. (x / y) \ x != z | z = y. x \ (x * y) != 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. (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 * T(x,y)) != z | z = y. (x * (y * z)) \ ((x * z) * T(y,z)) != u | u = a(x,z,T(y,z)). (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. (x * y) \ (x * z) != u | L(y \ z,y,x) = u. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. x * (y * (y \ 1)) != z * u | z \ x = u. x \ x != y * z | y \ 1 = z. x * (x \ y) != z * u | z \ y = u. x * y != z * u | z \ (x * y) = u. x * (y * (y \ (x \ z))) != u * w | u \ z = w. (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. x * T(y,x) != z * u | z \ (y * x) = u. (x / y) * y != z * u | z \ x = u. (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 * v6 | v5 \ ((a(x,y,z) * u) * w) = v6. ((1 / x) * x) * y != z | y = z. x / 1 != y | x = y. 1 \ x != y | x = y. x \ (x * y) != z | y = z. x * y != T(z,u) * w | (w * T(T(z,w),u)) / y = x. (x * T(T(y,x),z)) / x = T(y,z). x * T(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 \ (x * y) != z * u | z \ y = u. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. x * (y * (y \ z)) != u * w | u \ (x * z) = w. (x / (y * (y \ z))) * z = x. x * (y * T(z,y)) != u | x * (z * y) = u. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = 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))). 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 != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). x * y != z | y \ z = T(x,y). x * y != z | T(x,y) = y \ z. x * y != z | T(z / x,x) = y. T(x / (x / y),x / y) = y. x * y != x | T(1,x) = y. T(1,x) = 1. (x * y) / K(x,y) = y * x. x / K(y,y \ x) = (y \ x) * y. x * y != (z * u) * K(u,z) | (u * z) / y = x. (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). x * K(y \ x,y) = (y \ x) * y. x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). 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)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. x != y * T(z,y) | x = z * y. x * (y * T(z,x * y)) = L(z,y,x) * (x * y). 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) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). x != y * T(T(z,y),u) | x = T(z,u) * y. x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. x * y = T(x,z) * (x * (T(x,z) \ y)). T(x,y) * (x * (T(x,y) \ z)) = x * z. x * y != z * (u * (u \ (z \ w))) | x \ w = y. x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). 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 * y) / (x * (T(x,z) \ y)) = T(x,z). T(x,y) \ (x * z) = x * (T(x,y) \ z). x * y != z * 1 | x \ z = y. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. 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 \ 1) \ K(x \ 1,x) = x. (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. x * 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 * T(x \ (y * x),z) != u | T(y,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 \ (x * y) != z * u | T(z,u) = u \ y. x / (y \ x) = (y / z) * z. x / (y \ x) = z * (z \ y). (x / (y \ x)) * z = y * z. (x * (y * z)) / L(T(y,z),z,x) = x * z. x / (y / ((z \ x) \ y)) = z. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,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,z) * y = y * T(y \ x,z). T(x,y) * x = x * T(x,y). ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). T(L(x / y,z,u),y) = L(y \ x,z,u). T(R(x / y,z,u),y) = R(y \ x,z,u). T((x * y) / x,x) != z | z = y. (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,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. T(x,T(x,y)) = x. x * y != x * T(x,z) | T(T(x,z),x) = y. T(T(x,y),x) = T(x,y). (x * y) * z != x * (y * u) | z = L(u,y,x). (1 / x) * (x * y) = L(y,x,1 / x). (x * y) * z != y * x | z = K(y,x). x * (1 / x) = K(x,1 / x). (x * (y * z)) * u != (x * y) * z | u = a(x,y,z). ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). x * y != ((1 / z) * z) * u | u / y = x. x / (y * x) = R(1 / y,y,x). R(1 / x,x,y) = y / (x * y). x * y != ((1 / z) * z) * u | x \ u = y. R(1 / x,x,y) \ y = x * y. ((1 / x) * x) \ y != z | z = y. R(x,x \ 1,y) \ y = (x \ 1) * y. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. (x * y) / y != z * u | x / u = z. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | z = x. (x * (x \ y)) * z != u | y * z = u. x / x != y | y = 1. x / x != y | 1 = y. x / (y \ 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 * T(y,x)) / x != z | z = y. x / (y * x) != z | z = R(1 / y,y,x). x / (y * x) != z | R(1 / y,y,x) = z. x != ((y / z) * z) / u | x = y / u. R((x / y) / z,z,y) = x / (z * y). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(x / y,y,z) \ (x * z) = y * z. R(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). R(x / y,y,x \ z) \ z = y * (x \ z). R(x,x \ y,z) \ (y * z) = (x \ y) * z. (x * y) / (z * y) != u | u = R(x / z,z,y). (x * y) / (z * y) != u | R(x / z,z,y) = u. R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). 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)). 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). T(x / (y * z),u) * (y * z) = (T((x / z) / y,u) * y) * z. (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). (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 = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. (x * T(y,x * y)) * y = y * (x * y). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. (x * (y * x)) / x = y * T(x,y * x). T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x * T(y,z) = ((x / y) * T(y,z)) * y. ((x / y) * T(y,z)) * y = x * T(y,z). x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (x * y) * (y \ 1) = R(x,y,y \ 1). x = x / (y * (y \ 1)). x / (y * (y \ 1)) = x. (x * y) * L(y \ 1,y,x) = x. (x * y) * (y \ 1) != z | z = R(x,y,y \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. x != y \ (1 * (y * z)) | x = L(z,y,1). x = L(x,y,1). L(x,y,1) = x. x * y != L(z,u,1) | z / y = x. x / 1 = L(x,y,1). L(x,y,1) = x / 1. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * y) / T(y,z) = (x / T(y,z)) * y. ((x / y) * y) * z != u | x \ u = z. (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. L(x,y,1 / y) != z | (1 / y) * (y * x) = z. R(x,x \ 1,y) = y / ((x \ 1) * y). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. x != T(R(y,z,u),w) | x = R(T(y,w),z,u). (x * y) \ (z * y) = R(T(z / x,x * y),x,y). R(T(x / y,y * z),y,z) = (y * z) \ (x * z). ((x \ y) \ y) \ z = T(x,x \ y) \ z. T(x,x \ y) \ z = ((x \ y) \ y) \ z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x * y != ((z \ u) \ u) * w | x \ (T(z,z \ u) * w) = y. ((x \ y) \ y) \ (T(x,x \ y) * z) = z. x * 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). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. x \ (T(x,y) * z) = T(x,y) * (x \ z). (x \ y) \ y != z | z = T(x,x \ y). (x \ y) \ y != z | T(x,x \ y) = z. (x * y) / y = R(x,1,y). R(x,1,y) = x. R(x,1,y) != z | z = x. T(1 / T(x,y),x) = x \ (x / T(x,y)). (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) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L(x \ 1,x,y) = (y * x) \ y. L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = ((x * y) * z) \ ((x * (y * z)) * u). 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). (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). x != (y * z) \ (z * y) | x = K(z,y). L(x \ T(x,y),x,y) = K(x,y). x != y \ (y * z) | x = z. L(x \ T(y * x,y),x,y) = y. T((x * y) \ (z * x),u) = L(T(y \ T(z,x),u),y,x). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). x != 1 \ y | x = y. L((x \ 1) \ y,x \ 1,x) = x * y. L((x \ y) \ 1,x \ y,x) = y \ x. T(x \ (y * z),u) = L(T((y \ x) \ z,u),y \ x,y). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). L((x \ 1) \ y,x \ 1,x) != z | x * y = z. x * y != (z * u) \ z | L(u \ 1,u,z) / y = x. L(x \ 1,x,y) / ((y * x) \ y) = 1. x * L(y \ 1,y,z) = x * ((z * y) \ z). L(x \ 1,x,y / x) = y \ (y / x). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). L(x,1 / x,y) = (y * (1 / x)) \ y. (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). x / L(y \ 1,y,x) = x * y. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). T(L(x,y,z),x) = L(x,y,z). T(x,L(x,y,z)) = x. K(x,L(x,y,z)) = 1. T(x,y) \ x != z | x * (T(x,y) \ 1) = z. (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (T(x,y) \ x) = T(x,y) \ 1. x * y != z * (T(z,u) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. x \ (T(x,y) \ x) != z | z = T(x,y) \ 1. x \ (T(x,y) \ x) != z | T(x,y) \ 1 = 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 * (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 \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x * T(y,y * x) = L(y,x,y) * x. x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). 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). (x * L(y,z,u)) / x = L((x * y) / x,z,u). (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,1 / y,x) = x * (1 / y). (x * y) \ x != z | z = L(y \ 1,y,x). (x * y) \ x != z | L(y \ 1,y,x) = z. x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). x * ((x \ 1) * y) = L(y,x \ 1,x). x * y != z \ (u * ((u \ z) * w)) | L(w,u \ z,u) / y = x. L(x,y \ 1,y) / ((y \ 1) * x) = y. x * y != z \ (u * ((u \ z) * w)) | x \ L(w,u \ z,u) = y. x \ L(y,x \ 1,x) = (x \ 1) * y. x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ 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)). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x \ L(y,x \ 1,x) != z | z = (x \ 1) * y. x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. x * (((y / x) \ y) \ z) = z. ((x / y) \ x) * (y \ z) = z. ((x / y) \ x) * z != u | y \ u = z. L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. (1 / x) * y = L(x \ y,x,1 / x). L(x \ y,x,1 / x) = (1 / x) * y. L(x \ 1,x,1 / x) = 1 / x. (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). x \ y = (z * (z \ x)) \ y. (x * (x \ y)) \ z = y \ z. x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. (x * 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 * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. x * 1 != y * z | x / z = y. (x / y) * y != z | x = z. (x * y) / y != z | x = z. x != L((y * z) / y,u,w) * y | x = y * L(z,u,w). (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. x * y != ((z / u) * u) * w | x \ (z * w) = y. ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. 1 * x != (y * z) * L(z,u,w) | x = (y * L(z,u,w)) * z. L(x \ 1,y,z) = (x * L(x \ 1,y,z)) * (x \ 1). (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). (x * y) / 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)) * z = ((x * y) * z) * L(z,y,x). ((x * y) * z) * L(z,y,x) = (x * (y * z)) * 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. 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). T((x \ 1) \ y,x * y) = (x \ 1) \ y. 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) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. K(1,x) = 1. T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T((x * 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(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 * x),y,x). R(T(x,y * x),y,x) = T(x,y). T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). (x * T(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 / 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) * x) * z != x * T(x,y) | 1 = z. 1 = K(x,T(x,y)). K(x,T(x,y)) = 1. (x * T(x,y)) * z != T(x,y) * x | 1 = z. 1 = K(T(x,y),x). K(T(x,y),x) = 1. x * y != z * T(y,u) | (x / T(y,u)) * y = z. x * T(y,z) != u * y | (u / T(y,z)) * y = x. (x * y) / T(y,z) != u | u = (x / T(y,z)) * y. (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. (x * (y / x)) * x = y * T(x,y / x). T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. 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 * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,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) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). 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 != T(y / z,z) | x = z \ y. R(T(1 / x,x * y),x,y) = (x * y) \ y. T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). T(x / (y * x),y) = R(y \ 1,y,x). x != R(T(y,z),u,w) | x = T(R(y,u,w),z). T(x,y) = T(R(x,y,x),y * x). T(R(x,y,x),y * x) = T(x,y). R(T(x,y),y / x,x) = T(x,y / x). T(x,y) * (y * x) = (T(x,y * x) * y) * x. (T(x,y * x) * y) * x = T(x,y) * (y * x). (x \ (x / T(x,y))) * T(x,y) = T(x,y) * T(T(x,y) \ 1,x). T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. 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 != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). 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(x,y,z) = R(x,y,z) * x. R(x,y,z) * x = x * R(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). T(x,R(T(x,y),z,u)) = x. T(x,R(x,y,z)) = x. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x \ 1,x) != y | (x \ 1) * x = y. x != y \ ((z \ y) * z) | x = K(z \ y,z). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). x * (1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = x * (1 / x). (1 / x) \ (T(x,y) / x) = T(x,y). (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). x * T(x \ 1,y) = T(x \ 1,y) / (x \ 1). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). 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 * 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) \ u)) / x = L((x * (z \ (y \ u))) / x,z,y). L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. T(L(x / y,z,u),y) != w | w = L(y \ x,z,u). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. (x * ((y * x) \ y)) / x = L(1 / x,x,y). (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. x \ y = (z / (x \ z)) \ y. (x / (y \ x)) \ z = y \ z. ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). x != y \ (z * ((z \ y) * u)) | x = L(u,z \ y,z). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. (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). R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * 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. K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (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. 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) * ((y \ 1) * y) = x * T(x \ (x / y),y). (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). x != y \ (z * T(z \ y,z)) | x = K(z \ y,z). x * T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). K(x \ (x / (y \ 1)),x) = y \ T(y,x). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). L(x,y,1) != z | z = x. R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. 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. 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)). x != y * (1 / y) | x = K(y,1 / y). T(x,1 / x) / x = K(x,1 / x). T(x,y) * z != x * u | z = x * (T(x,y) \ u). K(x,T(x,y) / x) = x * (T(x,y) \ (T(x,y) / x)). x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). x \ (y * (x / y)) != z | z = K(y,x / y). x \ (y * (x / y)) != z | K(y,x / y) = z. 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 * T(1 / x,T(x,y)) = K(x,T(x,y) / x). L(x,y \ z,y) * z = y * ((y \ z) * T(x,z)). x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. L(x,y \ z,y) * u != y * ((y \ z) * x) | T(z,L(x,y \ z,y)) = u. x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)). x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x = (x / T(y,y \ z)) * ((y \ z) \ z). (x / T(y,y \ z)) * ((y \ z) \ z) = x. (x / ((y \ z) \ z)) * T(y,y \ z) = x. x / T(y,y \ z) = x / ((y \ z) \ z). x * y != z * ((u \ w) \ w) | (z * T(u,u \ w)) / y = x. (x * T(y,y \ z)) / ((y \ z) \ z) = x. R(1 / x,x,x \ 1) = x \ 1. x != (y * z) / (u * z) | x = R(y / u,u,z). x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). x != (y * z) / ((u \ y) * z) | x = R(u,u \ y,z). x * ((y \ x) \ 1) = R(y,y \ x,(y \ x) \ 1). R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != ((z * u) * w) / (u * w) | x \ R(z,u,w) = y. (x * y) \ R(x,y,y \ 1) = y \ 1. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. x * y != x * z | z = y. x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). 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). R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. 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 != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. R(x / y,y,y \ 1) != z | x * (y \ 1) = z. x * 1 != 1 * y | y = x. 1 * x != y | x = 1 * y. 1 * x != y | 1 * y = x. x != y | 1 * y = x. ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,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 \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). (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). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ 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. (x * R(x \ y,z,u)) / x = R(y / x,z,u). x * (y * R(y \ z,u,w)) = R((x * z) / (x * y),u,w) * (x * y). R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). (x / (y * x)) * y = y * R(y \ 1,y,x). (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). R(R(x,y,K(y,x)),z,u) * (y * K(y,x)) = (y * K(y,x)) * R((y * K(y,x)) \ (y * x),z,u). (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). ((x * y) / z) * (z / y) = (z / y) * R((z / y) \ x,z / y,y). (x / y) * R((x / y) \ z,x / y,y) = ((z * y) / x) * (x / y). 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 * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T(x \ 1,x) = R(x \ 1,x,x \ 1). R(x \ 1,x,x \ 1) = T(x \ 1,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(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. T(x / (y * (y \ z)),y) * z = ((y \ (x / (y \ z))) * y) * (y \ z). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. x != T(y / z,u) * z | x = z * T(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),x)) = ((x \ (z / y)) * x) * y. x * (y * T(y \ z,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)). ((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) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). x * (y * (y \ 1)) != z * u | u \ x = T(z,u). x * (y * (y \ 1)) != z * u | T(z,u) = u \ x. x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). x * a(x,y,y \ 1) = (x * y) * (y \ 1). x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). x * y != z * (u * (u \ w)) | (z * w) / y = x. (T(x,y) * z) / (T(x,y) * (x \ z)) = x. ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * (x \ y)) * z != u * w | u \ (y * z) = w. (x * y) * ((z * ((x * y) \ (x * u))) / z) != w * v5 | w \ (x * (y * ((z * (y \ u)) / z))) = v5. K(x,1 / x) != y | x * (1 / x) = y. x / x != y * z | y = 1 / z. x / x != y * z | 1 / z = y. (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x != (y * z) * ((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 * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x * (y / (y / z))) * z = (x * ((y / z) \ y)) * (y / (y / z)). (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). (x * (y * 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)). (1 * x) / y != z | z = x / y. (1 * x) / y != z | x / y = z. R(1 / x,x,y) != z | y / (x * y) = z. ((x / y) * y) / z != u | x / z = u. R((x / y) / z,z,y) != u | x / (z * y) = u. 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 * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). T(T(x \ (y * z),u),w) = L(T(T((y \ x) \ z,u),w),y \ x,y). L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). 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 != z * T(u,z) | x \ (u * z) = y. x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K(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 \ x,y) = T((x \ y) \ 1,y). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). x != (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) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). x != K(y \ (y / z),y) | x = z * T(z \ 1,y). L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L((x \ 1) * x,y,z) = K(x \ (x / L(x,y,z)),x). K(x \ (x / L(x,y,z)),x) = L((x \ 1) * x,y,z). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). (x * y) * T(K(y,x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). 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). R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. x \ (y \ x) = R(T(1 / y,x),y,y \ x). R(T(1 / x,y),x,x \ y) = y \ (x \ y). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x * T(x \ (y \ x),z)) / (y \ x) != u | u = y * T(y \ 1,z). (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). T(x,y) * z != x * u | T(x,y) * (x \ z) = u. 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 * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,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 * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). x != (y * z) * T(L(u,z,y),w) | x = y * (z * T(u,w)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. x * y != (z * (z \ 1)) * u | u / y = x. ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). (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 * x) \ y)) * (x \ 1) = L(x \ 1,x,y). x != L(y \ 1,y,z) | x = (z * y) \ z. (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). (x * y) * R(z,x,y) = ((((x * y) * z) / (x * y)) * x) * y. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). x != ((y * z) / y) * (z \ 1) | x = z \ ((y * z) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). x != (y * T(z,u)) / y | x = T((y * z) / y,u). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). x != L(y \ z,y,u) | x = (u * y) \ (u * z). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). 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 \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). x != (y \ z) * R((y \ z) \ z,u,w) | x = R(y,u,w) * (y \ z). x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | x \ (z \ R(z,u,w)) = y. R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x * y != R(z,u,w) * (z \ 1) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). 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 * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). x * y != R(T(z / (1 / u),w),1 / u,u) | T(z * u,w) / y = x. T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. 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(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). T(x,y) / x = K(y \ (y / (1 / x)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. K(x \ (x / (1 / y)),x) * y = T(y,x). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. x != T(1 / T(y,z),y) | x = y \ (y / T(y,z)). K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). T(((x * y) * z) / (x * z),x) = R(y,x,z). T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). T((x * y) * (x \ 1),x) = R(y,x,x \ 1). T(T(x / y,z),y) != u | T(y \ x,z) = u. T(x,y) * (T(z / (z / x),y) \ 1) = (((z / x) * T(x,y)) / (z / x)) \ T(x,y). (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x / (x / y),z) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). (x / y) * ((z / y) \ z) = x. ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. x != (y / z) \ y | x = z. T(x / (x / y),(z / (x / y)) \ z) = y. T(x * T(x \ y,y),x \ y) = y. ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). x != y * T(y \ z,u) | x = z * K(u \ (u / (z \ y)),u). 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. (1 / x) * T((1 / x) \ (y / x),z) != u | u = T(y,z) / x. (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. x != (y * (1 / y)) * y | x = T(y,1 / y). R(x,1 / x,x) = T(x,1 / x). (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. (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. x * ((y \ z) \ z) != u | u = x * T(y,y \ z). x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). L(x,y,z) \ (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). x * y != z * (u * (u \ 1)) | x \ z = y. L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,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)). 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 * K(y,y) = x. K(x,1) = 1. T(x,y \ y) = x. K(x,1) * y != z | y = z. a(x,y,1) = 1. a(x,y,K(1,z)) = 1. T(x,1) != y | y = x. T(x,y) * T(x,z) = T(x,z) * T(x,y). T(x / y,y \ x) = x / y. K(x,(y * x) / y) = 1. x \ ((x * (1 / y)) * y) = a(x,1 / y,y). (x * R(x,y,z)) / x = R(x,y,z). (x / (1 * y)) * 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). T(x,(y * x) / y) = x. (x / ((y / z) * z)) * y = x. R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. x * (x \ y) != z * u | y / u = z. (x / y) \ x != z * u | z \ y = u. ((x / y) \ x) * z != u | y * z = u. x != L(y \ 1,y,z) \ ((y \ 1) * (y * ((z * y) \ z))) | x = K(y \ 1,y * ((z * y) \ z)). (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). x * y != z \ (u * (u \ z)) | x \ 1 = y. x \ 1 = L(x,y,z) \ (x \ L(x,y,z)). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | 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) \ (y * T(x,y / x)) = a(x,y / x,x). R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). x != y * (z * T(u,z)) | x = y * (u * z). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). x * y != R(z,u,y) * (u * y) | x = z * u. (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). x * y != 1 * (z * y) | x = z. (1 / x) * K(x \ 1,x) = x \ 1. ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). (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. (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). (x * ((1 / y) * z)) / x = L((x * (y \ z)) / x,y,1 / y). L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. x * y != R((z * u) / z,w,v5) * z | T(x,y) = y \ (z * R(u,w,v5)). T(((x * y) / x) * z,z \ x) = (z \ x) \ (x * R(y,z,z \ x)). (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. (x * y) * (x \ 1) = (x * R(y,x,x \ 1)) / x. (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. (x * (y / (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)) / x = R((x * (y / (1 / z))) / x,1 / z,z). R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. (x * (y / (z * u))) / x = R((x * ((y / u) / z)) / x,z,u). R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. x != ((y * R(z / u,u,w)) / y) * (u * w) | x = (u * w) * ((y * ((u * w) \ (z * w))) / y). (((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 * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. ((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 * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != (y * z) * ((u * ((y * z) \ y)) / u) | x = y * (z * ((u * (z \ 1)) / u)). (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * z) * ((y * ((x * z) \ z)) / y)). x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). x != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y). T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y). T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x * y != (z * x) * ((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) * ((u * ((y * z) \ w)) / u) | x = y * (z * ((u * (z \ (y \ w))) / u)). (x * ((y * (x \ z)) / y)) * u = x * (u * ((y * (u \ (x \ (z * u)))) / y)). x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). 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 * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. x != 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)). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | x = R(u,y,z). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. x * y != T(z,u) * (z \ 1) | x \ (z \ T(z,u)) = y. ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1). T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != L(z \ 1,z,u) \ w | x \ (((u * z) \ u) \ w) = y. (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 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). (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,1 / x). L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). ((x * y) / x) * (y \ x) = T(x,y). T(x,y) / (y \ x) = (x * y) / x. ((x * y) / x) \ T(x,y) = y \ x. x * ((y / z) \ y) != u | x = u / z. (x * (x / y)) / x = T(x,x / y) / y. T(x,x / y) / y = (x * (x / y)) / x. (x / (x / y)) * (y \ (x / y)) = T(x / y,y). ((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)). T(T(x,y) / (z * (y \ x)),z) = R(z \ ((x * y) / x),z,y \ x). R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). x * ((y * (x \ y)) / y) = T(y,y / x). (x * ((x / y) / x)) * y = 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 * (y * ((x \ y) / y)) = T(y,y / (x * y)). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). x \ T(y * x,y) = R(y,x,T(y,x)). x * R(y,x,T(y,x)) = T(y * x,y). R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. L(R(x,y,T(x,y)),y,x) = x. (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. T(x,x / (x / T(y,x))) * T(y,x) = x * y. x != ((y * R(z,u,w)) / y) * (u * w) | x = (((y * z) / y) * u) * w. T(x,R(y,y \ 1,x)) = (((x * y) / x) * (y \ 1)) * x. (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). T(x,x / (x / y)) * (x \ y) = (x * y) / x. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). x != y * ((z * (y \ 1)) / z) | x = K(z,(z / y) / z). x \ T(x,x / (x * y)) = K(x,(x / y) / x). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * y != z * (u * T(w,u)) | (z * (w * u)) / y = x. (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). x / L(y \ z,y,x / z) = (x / z) * y. x != (y \ 1) * y | x = K(y \ 1,y). 1 / K(x,x \ 1) = K(x \ 1,x). x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x \ x != y * z | y = 1 / z. x \ x != y * z | 1 / z = y. x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). x \ (y * T(x,z)) = (x \ y) * T((x \ y) \ T(y,x),z). (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). x * y != z \ (u * T(z,u)) | x \ u = y. (x \ y) \ y = T((x \ y) \ T(y,x),y). T((x \ y) \ T(y,x),y) = (x \ y) \ y. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * y != x * (x * T(x \ T(z,x),x)) | T((x \ z) * x,x) = y. T((x \ y) * x,x) = (x \ T(y,x)) * x. (x \ T(y,x)) * x = T((x \ y) * x,x). x * y != (z \ T(u,z)) * z | x \ T((z \ u) * z,z) = y. T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). x * (T((x \ y) * x,x) / x) = T(y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). T(x,x * (y * T(y \ 1,x))) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x,x * K(y,x)) = x. 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. x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. T(x / T(x,y),x) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,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 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. 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 * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. 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 != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. x != ((y * (y / z)) / y) * z | x = T(y,y / z). ((x * (x * y)) / x) / y = T(x,x / (1 / y)). ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). 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)). x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). (R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. x * y != (z * 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 != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x != ((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 / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). (R(x,y,z) / x) / R(x,y,z) = 1 / x. R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). (1 / x) * R(x,y,z) != u | u = R(x,y,z) / x. (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. K(R(x,y,z),1 / x) = x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)). x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x,(y / (x * y)) * x) = x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x,(x \ 1) * x) = x. R(x,x \ 1,x) = T(x,x \ 1). T(x,K(x \ 1,x)) = x. x != T(y,y \ z) | x = (y \ z) \ z. R(x,x \ 1,x) = (x \ 1) \ 1. T(T(x,x \ 1),y) = R(T(x,y),x \ 1,x). R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). T(x,x \ 1) \ x = (x \ 1) * x. x != R(y,y \ 1,y) | x = y / K(y \ 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. x != ((y \ z) \ z) * u | x = T(y,y \ z) * u. x = T(x,x \ 1) * K(x \ 1,x). T(x,x \ 1) * K(x \ 1,x) = x. x * y != T(x,x \ 1) \ x | T(x \ 1,x) = y. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). (x \ 1) \ 1 = T((1 / x) \ 1,1 / x). T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. T(x,1 / x) = (x \ 1) \ 1. x != (y \ z) \ z | x = T(y,y \ z). T(x,1 / x) = T(x,x \ 1). ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. ((x \ 1) \ 1) / x = K(x,1 / x). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). T(x,x \ 1) / x = K(x,1 / x). x != ((y / z) * ((z \ u) \ u)) / (y / z) | x = T(y / (y / z),z \ u). x = T(1 / (1 / x),x \ 1). 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). (x \ 1) * x = (1 / (1 / x)) * (x \ 1). (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. T(1 / (1 / (1 / x)),x) = 1 / x. (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). x != T(y,y \ 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 = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). x * (1 / x) = K(x,x \ 1). x != K(y,z) | x = K((u / y) \ u,z). K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) != y | x * (1 / x) = y. x != (1 / (y / z)) * (z \ y) | x = (z \ y) / (y / z). (x \ 1) * x = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = (x \ 1) * x. (x \ 1) / (1 / x) = K(x \ 1,x). x != (y \ 1) / (1 / y) | x = K(1 / y,1 / (1 / y)). K(x \ 1,x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). x != K(y,1 / y) | x = K(y,y \ 1). K(x \ 1,x) = K(1 / x,(1 / x) \ 1). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = 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(x,x \ 1) = 1 / x. x * y != z * (1 / z) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). x \ 1 != y * (1 / x) | K(x \ 1,x) = y. x * (1 / y) != y \ 1 | K(y \ 1,y) = x. R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). K(x,x \ 1) * x = (x \ 1) \ 1. x != (y * z) * R(L(u,z,y),w,v5) | x = y * (z * R(u,w,v5)). (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(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(T(y / z,z * u),z,u) | x = (z * u) \ (y * u). T(x / y,y) = (y * R(x / y,z,u)) \ (x * R(x / y,z,u)). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). 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)). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (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 \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u). ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). (x * 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). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). x != y * T(y \ (z * y),u) | x = T(z,u) * y. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. 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) = (R(x,y,z) \ 1) * R(x,y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(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((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). T(L(x,y,x),y) != z | T(x,x * y) = z. T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(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). T(x / (x / y),y) = x / (x / y). x * y != T(z / (u * z),u) | R(u \ 1,u,z) / y = x. R(x \ 1,x,y) / (y / (x * y)) = K(x \ (x / (1 / (y / (x * y)))),x). K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). x * (x * y) = T(x,x / (x / T(y,x))) * (y * x). T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). (x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z. (x * (x * y)) / (y * x) = (x / T(y,x)) * y. x != (y * (y * z)) / (z * y) | x = R(T(y,y / (1 / z)),z,y). (x / T(y,x)) * y = R(T(x,x / (1 / y)),y,x). R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / 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). 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). L(K(T(x,y),1 / x),T(x,y) / x,z) = (z * (T(x,y) / x)) \ (z * (T(x,y) * (1 / x))). (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). 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) \ z,u,w) | x = (y * R(y \ 1,u,w)) * z. x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. 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 \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). 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. K(x,1 / x) * L(x,1 / x,x) = x. x != L((y * z) / (u * z),w,v5) * (u * z) | x = (L(y / u,w,v5) * u) * z. (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. x * y != (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) \ 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 \ 1) * (y * L(y \ ((y \ 1) \ z),u,w)) | x = K(y \ 1,y) * L(K(y \ 1,y) \ z,u,w). ((x \ 1) * L((x \ 1) \ y,z,u)) * x = K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u). K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y. (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). (x * y) * (y * L(y \ 1,z,u)) = ((x * y) * L((x * y) \ x,z,u)) * y. ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). ((1 / x) * T(y,z)) * x = T(((1 / x) * y) * x,z). (x / (x / y)) * (y * z) = ((x / y) \ x) * ((x / (x / y)) * z). ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). x != ((y / z) \ y) * u | x = z * u. (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). x != y * ((1 / z) * z) | x = y. (1 / (1 / x)) * (x * (1 / x)) = x. x \ (1 / (1 / x)) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = x \ (1 / (1 / x)). x != (y \ 1) / (1 / y) | x = K(y \ 1,y). x \ (1 / (1 / x)) = K(x \ 1,x). x != L(y \ 1,y,z) \ u | x = ((z * y) \ z) \ u. K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). x * K(x \ 1,x) = 1 / (1 / x). L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))). x * K(1 / x,x) = 1 / (1 / x). T(x,R(1 / y,y,x)) / x = (1 / y) \ ((x * (1 / y)) / x). (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. L(x \ 1,x,y \ ((x * y) / x)) = T(1 / x,T(x,R(y,y \ 1,x))). T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). x * y != T(x,z) * (z * x) | T(T(x,z * x) * z,x) = y. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x * (y / (x * y)),x) = T(x,y / (x * y)) * T(y / (x * y),x). T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * y != (1 * z) / u | (z / u) / y = x. (L(x,y,z) / x) / L(x,y,z) = 1 / x. (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). x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). x * (R(x,y,z) * u) = R(x,y,z) * (x * u). R(x,y,z) * (x * u) = x * (R(x,y,z) * u). R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. x \ y = R(x,z,u) * (x \ (R(x,z,u) \ y)). R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). x \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. T(x,y) * T((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). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),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). 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(T(y,z) \ 1,y) | x = (y \ (y / T(y,z))) * T(y,z). T(x * T(x \ 1,x),y) = (x \ (x / T(x,y))) * T(x,y). (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). (x \ (x / T(x,y))) * T(x,y) = T((x \ 1) * x,y). (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). 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. K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). x * y != L((z * (u \ w)) / z,u,1 / u) | x \ ((z * ((1 / u) * w)) / z) = y. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). x != (1 / y) \ ((z * (1 / y)) / z) | x = T(z,R(1 / y,y,z)) / z. x * ((y * (x \ 1)) / y) = T(y,R(1 / x,x,y)) / y. T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. K((x \ y) \ 1,y \ x) = 1. 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). T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). x != y * (1 / y) | x = K(y,y \ 1). (1 / (1 / (1 / x))) * x = K(x,x \ 1). T(x \ 1,x) = T(x \ 1,(x \ 1) \ 1). T(x \ 1,(x \ 1) \ 1) = T(x \ 1,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),x) = T(y,x) / x. x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). x * ((1 / x) * T(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. (((x \ 1) \ y) * (x \ 1)) * x = T(y * (1 / (x \ 1)),x \ 1). T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. (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) * z) \ ((x * (y * z)) * z) = L(z,y,x). (x * y) * (z / (z / y)) = (x * (z / (z / y))) * y. (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). x * y != (((z / u) / w) * w) * u | z / y = x. x / (y / (y / z)) = ((x / z) / (y / (y / z))) * z. ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). x != (1 / (1 / (1 / y))) * y | x = y * (1 / y). x / (1 / (1 / x)) = x * (1 / x). x / (1 / (1 / x)) = K(x,1 / x). K(x,1 / x) * (1 / (1 / x)) = x. 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). K(x,x \ 1) * (1 / (1 / x)) = x. (x * K(y,y \ 1)) \ (x * y) = L(1 / (1 / y),K(y,y \ 1),x). L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). 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 != 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). 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 * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * y != (z * 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 != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. K(x,x * L(x \ 1,y,z)) = 1. T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). (x * y) * 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). K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). (x \ 1) * T(x,y) = K(x \ 1,x) * (T(x,y) / x). K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | y = (1 / x) * z. L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. T(x \ 1,x \ T(x,y)) = x \ 1. T(1 / x,T(x,y) / x) = 1 / x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). (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). L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). (x \ T(x,y)) / T(x,y) = L(x \ 1,T(x,y),1 / x). L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). ((1 / x) * x) * y != z * u | y / u = 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)). x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. (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 / R(x,y,z)) / x = 1 / R(x,y,z). (1 / R(x,y,z)) * x != u | u = x / R(x,y,z). (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. T(1 / x,K(x \ 1,x)) = 1 / x. (1 / x) * ((x \ 1) * x) = x \ 1. K(x \ 1,x) * L(1 / x,y,z) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). T(x,y) = R(T(x,y * L(x,z,u)),y,L(x,z,u)). R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). (x * y) * 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). T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x * y != T((z * u) / z,z) | u / y = x. x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y). (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). (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 != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x. K((x * y) \ x,x * y) / y = T(1 / y,x * y). T(x * K(y,x),x) = x * K(y,x). (x / (y \ x)) * z != u | y * z = u. (x * (x \ y)) \ z != u | u = y \ z. (x * (x \ y)) \ z != u | y \ z = u. K(((x * y) \ x) \ 1,y) = 1. x \ (x * y) = L(y,1,x). x = L(x,1,y). L(x,1,y) = x. L(x,1,y) != z | z = x. 1 = R(1,x,y). R(1,x,y) = 1. x * ((1 / y) * y) != z * u | x / u = 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). T(T(x,1 / x),y) = R(T(x,y),1 / x,x). R(T(x,y),1 / x,x) = T(T(x,1 / x),y). R(T(x,1 / x),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). 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). T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). x * y != R(T(z,u),1 / z,z) | T(T(z,1 / z),u) / y = x. T(T(x,1 / x),y) / x = T(x,y) * (1 / x). T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x * 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). x * y != R(1 / z,z,z \ u) | ((z \ u) / u) / y = x. ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. T(x * (y \ 1),z) = R(T(x / y,z),y,y \ 1). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). T(x / y,x * (y \ 1)) = x / y. (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)) / z) * y = y * R(y \ x,y,y \ z). (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). (1 / x) * ((T(y,x) / y) * x) = R((1 / x) * ((y * x) / y),x,x \ y). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. 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)). 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)). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). T(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),x \ 1) = x \ T(x,y). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). 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. K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). T((x * y) \ x,K(y,z)) = (x * y) \ x. T(K(x,y),(z * x) \ z) = K(x,y). x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). x \ (((T(y,x) \ y) * x) \ x) = T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1. T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). R(x * (y * z),a(x,y,z),((x * y) * z) \ u) \ u = a(x,y,z) * (((x * y) * z) \ u). x \ (R(x,y,z) * u) != w | w = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. T(x * L(x \ (y / z),u,w),z) = z \ (x * (z * L(z \ (x \ y),u,w))). x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. x * y != z * (x / z) | y = K(z,x / z). (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(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). 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. 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). R(x,y,x) * (x \ (y * x)) = T(x * y,x). (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (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). T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). R(T(1 / x,y),x,x \ y) = T(y \ (K(x,x \ 1) * (x \ y)),x). T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). x != R(T(1 / y,z),y,y \ z) | x = z \ (y \ z). T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). (x * y) / y != z * u | z \ x = u. T(x \ 1,x \ L(x,y,z)) = x \ 1. T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). K(x \ T(x,y),T(x,z) \ 1) = 1. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). x != T(y,z) * R(T(y,z) \ 1,u,w) | x = T(y * R(y \ 1,u,w),z). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * R(x \ 1,T(x,y),x \ 1),y). T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). T(x * T(x \ 1,T(x,y)),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). x * T(y,z) != T(y * T(y \ 1,T(y,z)),z) | x = T(y,z) \ 1. (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 \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. x * y != K(z \ T(z,u),(z \ 1) / (z \ T(z,w))) | x \ 1 = y. (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. x != T(T(y,z) \ 1,y \ T(y,u)) | x = T(y,z) \ 1. (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. (x * 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. K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). K((1 / x) \ (T(x,y) / x),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). x * y != (((1 / z) * T(z,u)) / (1 / z)) \ T(z,u) | x \ K(T(z,u),1 / z) = y. T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). 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). x * y != T(z,u) * T(z,w) | x \ (T(z,w) * T(z,u)) = y. x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). x != y \ (T(y,z) * u) | x = T(y,z) * (y \ u). T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)). (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(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 / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). x != (T((y / z) / u,w) * u) * z | x = u * (z * T(z \ (u \ y),w)). 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 != T(((1 / y) * z) * y,u) | x = (1 / y) * T(z,u). T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). (x \ y) * K(x,x \ 1) = T((y / x) * K(x,x \ 1),x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). K(x \ 1,x) * T(y,x) = T(K(x \ 1,x) * y,x). x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). L(x,y,K(x \ 1,x)) = x. T(x,y) = L(T(x,y),z,K(x \ 1,x)). L(T(x,y),z,K(x \ 1,x)) = T(x,y). K(T(1 / x,x),x) = L(K(x \ 1,x),y,K(x \ 1,x)). L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). K(x \ 1,x) * y != K(x \ 1,x) * (z * K(x \ 1,x)) | T(K(x \ 1,x) * z,K(x \ 1,x)) = y. T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = 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. (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). T(x,K(x \ 1,x) * y) = L(T(x,y),y,K(x \ 1,x)). L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). x != L(T(y,z),u,K(y \ 1,y)) | x = T(y,z). T(x,K(x \ 1,x) * y) = T(x,y). x * y != R(T(z / u,w),u,u \ 1) | T(z * (u \ 1),w) / y = x. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). x != (y \ 1) * T((y \ 1) \ z,u) | x = y \ T(y * z,u). T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). T(x,y) / (z \ 1) = z * T(z \ (x / (z \ 1)),y). x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). (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)). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T(x * y,y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). (x \ T(y,x \ 1)) * x = T((x \ y) * x,x \ 1). (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). (x \ ((x \ 1) \ y)) * x = T(T(y,x) / (x \ 1),x \ 1). T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. (x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x. (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). (x \ y) * x = (x \ 1) \ T((x \ 1) * y,x). (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * 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 \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). x \ R(x,1 / y,y) = a(x,1 / y,y). T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). x != T(y,z) \ T(T(y,y \ 1),z) | x = a(T(y,z),1 / y,y). T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * ((1 / y) * ((x * ((1 / y) \ 1)) / x)). (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). x != R((y / z) / u,u,z) | x = y / (u * z). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). (K(x,y) * (1 / y)) / K(x,y) = 1 / y. T(1 / x,K(y,x)) = 1 / x. R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). T(K(x,y),R(1 / y,z,u)) = K(x,y). T(K(x,y),z / (y * z)) = K(x,y). T(K(x,y),y \ 1) = K(x,y). T(x \ 1,K(y,x)) = x \ 1. (x \ 1) * T(T(x \ 1,K(y,x)) \ 1,z) = T((x \ 1) * T((x \ 1) \ 1,z),K(y,x)). (x \ 1) * T((x \ 1) \ 1,y) = T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). T(x \ T(x,y),K(z,x)) = x \ T(x,y). T(K(x,y),y \ T(y,z)) = K(x,y). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),K(z,x)). T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). T((x * y) \ (y * x),K(z,y)) = K(y,x). T(K(x,y),K(z,x)) = K(x,y). T(K(x,y),K(y,z)) = K(x,y). K(x,y) * K(y,z) = K(y,z) * K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * 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). K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. (K(x,y) * K(z,x)) * u != K(z,x) * K(x,y) | 1 = u. 1 = K(K(x,y),K(y,z)). K(K(x,y),K(y,z)) = 1. K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). (x / (y * x)) * K(z,y) = K(z,y) * (x / (y * x)). K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. T(x,y) = T(T(x,y),K(z,x \ 1)). T(T(x,y),K(z,x \ 1)) = T(x,y). K(x,y \ 1) * L(y,z,u) = L(y,z,u) * K(x,y \ 1). L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). T(x,K(x,1 / x)) = x. T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). T(T(x,y),z \ T(z,x \ 1)) = T(x,y). x != L(y,z,u) * K(y,y \ 1) | x = y * (L(y,z,u) * (1 / y)). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). K(x,y \ 1) * L(y,z,u) != L(y,z,u) * w | K(x,y \ 1) = w. L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. K(K(x,y),y \ T(y,z)) = 1. K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. K(K(x,y),T(T(z,y) \ z,y)) = 1. T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). K(x,1 / x) * T(x,y) = T(x,y) * K(x,1 / x). T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). x != T(y,z) * K(y,1 / y) | x = y * (T(y,z) * (1 / y)). K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). T(x,y) * z != (x * y) * T(T(x,y),u) | T(T(x,u) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = 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 * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. T(1 / x,L(x,y,z) / x) = 1 / x. ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). R(T(x,T(1 / x,y)),z,u) = R(R(x,z,u),T(1 / x,y),x). R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). x != R(y,z,u) * R(R(y,z,u) \ 1,w,v5) | x = R(y * R(y \ 1,w,v5),z,u). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * R(x \ 1,R(x,y,z),x \ 1),y,z). R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). x != K(y \ (y / T(z \ 1,u)),y) | 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). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,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. (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). x != L(y \ 1,y,z) * T(L(y \ 1,y,z) \ 1,z) | x = K(y,z). (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). (((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 \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). 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 * K(x \ 1,x) != y | L(x,x \ 1,x) = y. L(x,x \ 1,x) = 1 / (1 / x). T(1 / (1 / x),y) = L(T(x,y),x \ 1,x). L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x * y != L(T(z,u),z \ 1,z) | T(1 / (1 / z),u) / y = x. T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. (K(x,x \ 1) * y) / (x * y) = R(1 / (1 / (1 / x)),x,y). 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). x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. (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(x \ 1,x,y \ (y / x)) = 1 / x. L(1 / x,x,y) = L((y * x) \ y,x,(z * x) \ z). L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). x != (y \ (y / T(y,z))) * T(y,z) | x = T(K(y \ 1,y),z). T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). x != T(y,z) / y | x = K(z \ (z / (1 / y)),z). T(K(x \ 1,x),y) = K(x \ (x / (1 / (1 / T(x,y)))),x). K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). T(1 / x,y) = L(T(x \ 1,y),x,x \ 1). L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). (x * (1 / x)) * (x \ y) = y * L(y \ (x \ y),x,x \ 1). x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. K(x,x \ 1) * (x \ 1) = 1 / x. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). x * y != K(x,x \ 1) * T(x,z) | y = T(x,z) * (1 / x). K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). x * y != K(x,x \ 1) * L(x,z,u) | y = L(x,z,u) * (1 / x). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (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. (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). x != (y \ 1) \ (K(y \ 1,y) * z) | x = L((1 / y) \ z,1 / y,K(y \ 1,y)). K(x \ 1,x) * ((x \ 1) \ y) = L((1 / x) \ y,1 / x,K(x \ 1,x)). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. 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(x,(y * x) \ y) / x = K(x,(y * x) \ y). x != K(y \ 1,y) * L(1 / y,z,u) | x = L(1 / y,z,u) * K(y \ 1,y). (x \ 1) * (x * L(x \ 1,y,z)) = L(1 / x,y,z) * K(x \ 1,x). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x != (y * (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(1 / y,z,u) * (1 / (1 / y)) | x = L(y \ 1,z,u) / (1 / y). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). x != K(y \ 1,y) * (y * L(y \ 1,y,z)) | x = (y * ((z * y) \ z)) * K(y \ 1,y). L(x \ 1,x,y) / (1 / x) = (x * ((y * x) \ y)) * K(x \ 1,x). (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). x != L(y \ 1,y,z) / (1 / y) | x = L(y \ 1,y,z) * y. (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). (x \ 1) * (x * L(x \ 1,x,y)) = (y * x) \ y. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. x != y | x = y * 1. (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). ((x \ y) \ y) * z != u | z = T(x,x \ y) \ u. (x \ 1) * ((y * (x \ 1)) \ y) = T(x,x \ 1) \ ((y * (x \ 1)) \ y). T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 1). K(x \ 1,x * ((y * x) \ y)) = 1. (x \ 1) * (x * ((y * x) \ y)) != z * u | z \ ((y * x) \ y) = u. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) / 1 = x. T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. T(x,L(x \ 1,x,y)) = T(x,x \ 1). T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(x,(y * x) \ y) != z | (x \ 1) \ 1 = z. 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(z,u)) | x = K(y,z). (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). x != ((y \ 1) \ 1) / y | x = K(y,y \ 1). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(T(x,y),(x * y) \ y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. (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). T(1 / (1 / x),(y * x) \ y) = x. (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). x != (((y * z) \ y) * z) / ((y * z) \ y) | x = L(z,(y * z) \ y,z). 1 / (1 / x) = L(x,(y * x) \ y,x). L(x,(y * x) \ y,x) = 1 / (1 / x). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). x != L((y * z) \ y,z,(u * z) \ u) | x = L(1 / z,z,y). 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). L(1 / x,x,y) = 1 / (1 / L(x \ 1,x,y)). 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). x != L(1 / y,y,z / y) | x = z \ ((z / y) * K(y,y \ 1)). 1 / (1 / (x \ (x / y))) = x \ ((x / y) * K(y,y \ 1)). x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). x * (1 / (1 / (x \ (x / y)))) = (x / y) * K(y,y \ 1). (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). (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. (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. 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). ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y) = (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (1 / x) * (x * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). x != (1 / y) * (y * ((z * y) \ z)) | x = L(1 / y,y,z). (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). x != ((y * z) \ y) \ L(1 / z,z,y) | x = K(L(z \ 1,z,y) \ 1,L(z \ 1,z,y)). K(x,x \ 1) = K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). (x * y) * K(y,y \ 1) = x * T(y,L(y \ 1,y,x)). x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). x * ((y \ 1) \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). x * T(y,y \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). T(x * y,K(y,y \ 1)) = K(y,y \ 1) \ (x * ((y \ 1) \ 1)). K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = T(y * x,K(x,x \ 1)). x / K(y,y \ 1) = (x / ((y \ 1) \ 1)) * y. (x / ((y \ 1) \ 1)) * y = x / K(y,y \ 1). K(x \ 1,x) * y != (K(x \ 1,x) * z) * x | y = z * x. (x \ 1) \ 1 = x * K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. x * K(x,x \ 1) = T(x,x \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). (x * K(y,y \ 1)) * y = x * T(y,y \ 1). x * y != (z / u) * T(u,u \ 1) | T(x,y) = y \ (z * K(u,u \ 1)). T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). x != y * T(z,z \ u) | x = y * ((z \ u) \ u). (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). x * y != (z \ u) * T(z,z \ u) | u / y = x. 1 / x = (x \ 1) * K(x,x \ 1). (x \ 1) * K(x,x \ 1) = 1 / x. x * y != z * T(u,u \ 1) | x \ ((z * u) * K(u,u \ 1)) = y. (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). L(x,K(x,x \ 1),y) = x. R(x,K(y,y \ 1),y) = x. R(x,K(y \ 1,y),1 / y) = x. x * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x * (y / z) != (u * (y / z)) * (z \ y) | x = u * (z \ y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). x * K(y \ 1,y) != z * (y \ 1) | x = R(z,y \ 1,y) / y. x * (1 / y) = R(x,y \ 1,y) / y. R(x,y \ 1,y) / y = x * (1 / y). x * (1 / y) != R(z * y,u,w) / y | x = R(z / (1 / y),u,w). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. x * (1 / y) != R(R(z,1 / y,y),u,w) / y | x = R(z,u,w). R(x,1 / y,y) = R(x,y \ 1,y). (x * (1 / y)) * y = R(x,y \ 1,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 * (1 / y),y) = y \ R(x,y \ 1,y). x \ R(y,x \ 1,x) = T(y * (1 / x),x). R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. (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. R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. L(1 / x,K(x \ 1,x),y) = 1 / x. L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). x != L(1 / (1 / y),K(y,y \ 1),z) | x = (z * K(y,y \ 1)) \ (z * y). 1 / (1 / x) = (y * K(x,x \ 1)) \ (y * x). (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). 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)). (x \ (x / (1 / y))) \ 1 = 1 / (x \ (x / (y \ 1))). 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. x * (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)). T(x,x * ((x \ y) / y)) = x. T(x / y,(x / y) * (y / x)) = x / y. x * y != (z * (z \ 1)) * u | x \ u = y. ((x \ 1) * x) \ x = T(x,x \ 1). (x * R(x,y,z)) * u != R(x,y,z) * x | 1 = u. 1 = K(R(x,y,z),x). K(R(x,y,z),x) = 1. T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. (1 / (1 / x)) * K(x,x \ 1) = x. (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). x != K(y,y \ 1) | x = K(y,1 / y). x \ ((x \ 1) \ 1) = K(x,1 / x). x * y != K(z,z \ 1) | x \ (z \ ((z \ 1) \ 1)) = y. x \ (x \ ((x \ 1) \ 1)) = 1 / x. K(x \ 1,x) \ x = T(x,x \ 1). x * y != z \ ((z \ 1) \ 1) | x \ K(z,1 / z) = y. T(x,y) \ K(x,1 / x) = x \ (T(x,y) \ ((x \ 1) \ 1)). x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). K(x \ 1,x) \ x = (x \ 1) \ 1. K(x \ 1,x) * ((x \ 1) \ 1) = x. x \ (y * x) != z * u | u = z \ T(y,x). x \ (y * x) != z * u | z \ T(y,x) = u. ((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). ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). x != ((y \ (y / z)) \ 1) \ 1 | x = T(y \ (y / z),z). x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). x != y * T(y \ (y / z),z) | x = (y / z) * K(z \ 1,z). x / ((y \ 1) \ 1) = (x / y) * K(y \ 1,y). (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). x * K(y \ 1,y) = (x * y) / ((y \ 1) \ 1). (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). x != (y / ((z \ 1) \ 1)) * z | x = y / K(z,z \ 1). x * K(y \ 1,y) = x / K(y,y \ 1). x / K(y,y \ 1) = x * K(y \ 1,y). x * y = (x * ((y \ 1) \ 1)) * K(y \ 1,y). (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x \ T(x * y,z)) * x = T(y * ((x \ 1) \ 1),z) * K(x \ 1,x). T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. x * K(y \ 1,y) != (z * (y \ 1)) * y | x = R(z,y \ 1,y). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). (x * y) * (1 / y) = (x * ((y \ 1) \ 1)) * (y \ 1). (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). (x * K(y,y \ 1)) \ x = K(y \ 1,y). x = (x * K(y,y \ 1)) * K(y \ 1,y). (x * K(y,y \ 1)) * K(y \ 1,y) = x. (x * K(y \ 1,y)) * K(y,y \ 1) = x. x != (y * z) / z | x = (y / u) * u. (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 * (y \ 1)) * K(y,y \ 1) = x * (1 / y). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x * y = (x * K(y \ 1,y)) * ((y \ 1) \ 1). (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. 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). x * K(y,y \ 1) != (z * y) * (1 / y) | x = R(z,y,1 / y). (x * y) * (y \ 1) = R(x,y,1 / y). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). x * (1 / y) = (x * K(y,y \ 1)) * (y \ 1). (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). 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 / y) = (x * T(y,y \ 1)) * (y \ 1). (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / 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)) != u | R(x,y,1 / z) = u. x != (y * (1 / z)) \ y | x = L(z,1 / z,y). L(x,x \ 1,y) = L(x,1 / x,y). L(x,1 / x,y) = L(x,x \ 1,y). L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. L(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y). L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). x != T(y,z) \ K(y,1 / y) | x = y * (T(y,z) \ (1 / y)). x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). R(x,y,y \ 1) = R(x,y,1 / y). R(x,y,1 / y) = R(x,y,y \ 1). x \ 1 = R(1 / x,x,1 / x). R(1 / x,x,1 / x) = x \ 1. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 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 * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). L(K(x,x \ 1),y,x) = K(x,x \ 1). R(x,y,K(x,x \ 1)) = x. T(x,y) = R(T(x,y),z,K(x,x \ 1)). R(T(x,y),z,K(x,x \ 1)) = T(x,y). R(1 / x,y,K(x \ 1,x)) = 1 / x. (1 / x) * (y * K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). x != R(T(y,z * K(y,y \ 1)),z,K(y,y \ 1)) | x = T(y,z). T(x,y * K(x,x \ 1)) = T(x,y). T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). x * ((y \ 1) * (y * T(y \ 1,x))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). (1 / x) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). x != R(y,z,z \ 1) / (z \ 1) | x = y * z. (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 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). x * K((x \ 1) \ 1,y) = K(x,y) * x. K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). x != K(y \ z,(y \ z) \ 1) | x = K(y \ z,z \ y). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. x * K(y,y \ 1) = (x / (1 / (1 / y))) * y. (x / (1 / (1 / y))) * y = x * K(y,y \ 1). (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). x != (y * z) \ (y * (1 / (1 / z))) | x = L(K(z \ 1,z),z,y). K(x \ 1,x) = L(K(x \ 1,x),x,y). L(K(x \ 1,x),x,y) = K(x \ 1,x). (x * y) \ ((z * K(x,x \ 1)) * y) = R(T(z / (1 / (1 / x)),x * y),x,y). R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). x != ((y \ z) / (z / y)) / (1 / (z / y)) | x = T(1 / (1 / (z / y)),y). T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). L(x,y,z) * (1 / L(x,y,z)) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). x != y * ((y \ z) * T(u,z)) | x = L(u,y \ z,y) * z. (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). x \ (T(x,y) \ ((x \ z) \ z)) = ((x \ z) \ z) * (x \ (T(x,y) \ 1)). ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). x != y \ (T(y,z) \ ((y \ 1) \ 1)) | x = y * (T(y,z) \ (1 / y)). ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). K(x \ (x / ((L(y \ 1,y,x) \ z) \ z)),x) = T(K(y,x),L(y \ 1,y,x) \ z). T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. T(x / y,y) = T(y \ x,(x / y) * (y / x)). T(x \ y,(y / x) * (x / y)) = T(y / x,x). T(x \ y,(y / x) * (x / y)) = x \ y. K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. K(((x / 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. ((T(x,y) \ x) * y) \ 1 = y \ (((T(x,y) \ x) * y) \ y). x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. 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)). x \ (y * L(y \ z,u,w)) = (x \ y) * L((x \ y) \ (x \ z),u,w). (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). T(x,y) * L(T(x,y) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). x != y \ (z * (y * L(y \ (z \ u),w,v5))) | x = T(z * L(z \ (u / y),w,v5),y). T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). T(x,y) * L(T(x,y) \ z,u,w) = T(x * L(x \ ((y * z) / y),u,w),y). T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). (x \ y) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). x \ (y * 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). 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 \ x,x \ y)) = 1 / (1 / (x \ y)). (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). x != L(K(y \ 1,y),y,z) | x = K(y \ 1,y). K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(L(x \ 1,x,y),x) = K(x \ 1,x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. x != T((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). T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. T(T(x,x * y) * y,(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(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). 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 \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). x \ 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). 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). 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 * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). x != L(K(L(y,z,u),1 / y),z,u) | x = K(L(y,z,u),L(y,z,u) \ 1). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). x * y != K(x,x \ 1) | y = 1 / x. (L(x,y,z) / x) \ (1 / x) = 1 / 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)). (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). L(x \ 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 / (x * L(x \ 1,y,z)) != u | u = (x * L(x \ 1,y,z)) \ x. x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). R(x \ 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,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. 1 / ((x \ y) / y) = T(1 / ((x \ y) / y),x * ((x \ y) / y)). T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). 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) / y) / (((x \ y) / y) * x) = 1 / x. (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1 = L(T(x,x \ 1) \ 1,T(x,x \ 1),y). L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). x != K(y \ (y * z),u) | x = K(z,u). T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). x != T(K(y,z),((z * y) \ z) \ 1) | x = (((z * y) \ z) \ 1) \ (((z * y) \ z) \ K(y,z)). K((x \ 1) \ 1,y) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,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 * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). x != y / K(z,z \ 1) | x = y * K(z \ 1,z). x * (y / K(x,x \ 1)) = (x * y) * K(x \ 1,x). (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. (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). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). x != (y / z) * R((y / z) \ u,y / z,z) | x = ((u * z) / y) * (y / z). (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (1 / (x / y)) * ((y / x) * (x / y)) = y / x. x != y / (z \ y) | x = z. (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. (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 * y != (z * u) / u | z / y = x. x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). x * (y / (x * y)) = x / (1 / (y / (x * y))). x / (1 / (y / (x * y))) = x * (y / (x * y)). (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,(x \ y) / y) = 1 / x. L(x \ 1,x,R(1 / x,x,y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) = x / (y * x). R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. T(1 / (1 / x),R(1 / x,x,y)) = x. T(x,x \ 1) = T(x,R(1 / x,x,y)). T(x,R(1 / x,x,y)) = T(x,x \ 1). T(1 / (1 / (x / y)),y / x) = x / y. T(T(x,x \ 1),y) = T(T(x,y),R(1 / x,x,z)). T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). T(x,y / (x * y)) = T(x,x \ 1). T(x,(x \ y) / 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. R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). R(x \ 1,x,y) * K(x,x \ 1) = y / (x * y). x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). x * K(y,y \ 1) != z | x = z * K(y \ 1,y). R(x \ 1,x,y) = (y / (x * y)) * K(x \ 1,x). (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). T(x,y / (x * y)) = T(x,R(x \ 1,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)). x != (y * R(y \ 1,y,z)) \ (y * (z / (y * z))) | x = K(y,z / (y * z)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). x != K(T(y,R(y \ 1,y,z)),R(y \ 1,y,z)) | x = y \ T(y,z / (y * z)). K(x,y / (x * y)) = x \ T(x,y / (x * y)). x \ T(x,y / (x * y)) = K(x,y / (x * y)). x != y \ T(y,z / (y * z)) | x = K(y,y \ 1). K(x,y / (x * y)) = K(x,x \ 1). K(x / y,y / x) = K(x / y,(x / y) \ 1). K(x / y,(x / y) \ 1) = K(x / y,y / x). x != (y / (z * y)) * K(u,z) | x = K(u,z) * (y / (z * y)). R(x \ 1,x,y) = K(x \ 1,x) * (y / (x * y)). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). 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). x != K((y / z) \ 1,y / z) | x = K(z / y,y / z). K(x,x \ 1) = K((x * y) / y,y / (x * y)). K((x * y) / y,y / (x * y)) = K(x,x \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. L(x,y,K(y,y \ 1)) = x. x != K(y,y \ 1) * (y * z) | x = y * (K(y,y \ 1) * z). T(x,x \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). K(x,x \ 1) * y = ((x \ 1) \ 1) * (x \ y). ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). x != K(y,y \ 1) \ (z * ((y \ 1) \ 1)) | x = T(z * y,K(y,y \ 1)). x * T(y,(x \ 1) \ 1) = T(y * x,K(x,x \ 1)). T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). L(x,1 / y,K(y \ 1,y)) = x. 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 != L((1 / y) \ z,1 / y,K(y \ 1,y)) | x = (y \ 1) \ (K(y \ 1,y) * z). (1 / x) \ y = (x \ 1) \ (K(x \ 1,x) * y). (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. L(x,1 / (1 / y),K(y,y \ 1)) = x. (x \ 1) * y = K(x \ 1,x) * ((1 / x) * y). K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. L(x \ y,x,x \ 1) = (1 / x) * y. K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). K(x \ 1,x) * y != (x \ 1) * (x * z) | y = L(z,x,x \ 1). (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)). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = T((x \ 1) * y,K(x \ 1,x)). T(x,(x \ 1) * y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). x != ((1 / y) * z) * K(y \ 1,y) | x = (1 / y) * (z * K(y \ 1,y)). T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). (1 / x) * (y * K(x \ 1,x)) = T((x \ 1) * y,K(x \ 1,x)). K(x \ 1,x) * y = (1 / x) \ ((x \ 1) * y). (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. x != L((1 / (1 / y)) \ z,1 / (1 / y),K(y,y \ 1)) | x = y \ (K(y,y \ 1) * z). (1 / (1 / x)) \ y = x \ (K(x,x \ 1) * y). x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. x != y \ (K(y,y \ 1) * z) | x = K(y,y \ 1) * (y \ z). (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. x != (1 / y) * (z * K(y \ 1,y)) | x = z * ((y \ 1) * (y * T(y \ 1,z))). T((x \ 1) * y,K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | y = x * z. (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. x != y * T(y \ ((1 / z) \ y),z \ 1) | x = K(z,z \ 1) * ((1 / z) \ y). (x \ 1) \ y = K(x,x \ 1) * ((1 / x) \ y). K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. K(x,x \ 1) * y != (x \ 1) \ (K(x,x \ 1) * z) | y = (x \ 1) \ z. (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). x != (1 / y) \ ((y \ 1) * z) | x = K(y \ 1,y) * z. x = K(y \ 1,y) * (K(y,y \ 1) * x). K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (1 / z) \ ((z \ 1) * (K(z,z \ 1) * u)) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. K(x \ 1,x) * y != (1 / x) \ ((x \ 1) * z) | y = z. x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. K(x \ 1,x) * y != (x \ 1) * z | y = (1 / x) * z. K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * 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) * x = 1 / (1 / x). K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. x != K(y,y \ 1) * z | K(y \ 1,y) * x = z. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). x * y != K(z,z \ 1) * (K(z \ 1,z) * u) | x \ u = y. ((x \ 1) \ 1) \ y = x \ (K(x \ 1,x) * y). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x * y != K(z,z \ 1) * ((1 / z) \ u) | x \ ((z \ 1) \ u) = y. ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). x != ((y \ 1) \ 1) * (y \ (T(y,z) \ 1)) | x = y * (T(y,z) \ (1 / y)). K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). x != ((y \ 1) * T(y,z)) \ (y \ T(y,z)) | x = K(T(y,z),y \ 1). L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = K(T(x,y),x \ 1). (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L(x,y,y \ 1) / (y * x) = 1 / y. (1 / x) \ L(y,x,x \ 1) = x * y. L(x \ y,x,x \ 1) != z | (1 / x) * y = z. (1 / x) * (T(x,y) \ x) = L(T(x,y) \ 1,x,x \ 1). L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). x != (y \ 1) \ (T(y,z) \ 1) | x = (y \ T(y,z)) \ 1. (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). x != (y / (z \ y)) * u | x = z * u. L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. T((1 / x) * y,z) = L(T(x \ y,z),x,x \ 1). L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). x \ y = K(x,x \ 1) * (T(x,x \ 1) \ y). K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). x = L(x,T(y,z) / y,K(y \ 1,y)). L(x,T(y,z) / y,K(y \ 1,y)) = x. x != L(K(T(y,z),1 / y),T(y,z) / y,K(y \ 1,y)) | x = K(T(y,z),y \ 1). K(T(x,y),1 / x) = K(T(x,y),x \ 1). x != K(T(y,z),1 / y) | x = T(1 / (1 / y),z) \ T(y,z). K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ T(x,y). T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. x != T(1 / (1 / y),z) \ T(y,z) | x = T(y,z) * ((T(y,z) / y) \ (1 / y)). K(T(x,y),x \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). x != T(y,z) * ((T(y,z) / y) \ (1 / y)) | x = T(y * L(y \ 1,T(y,z),1 / y),z). K(T(x,y),x \ 1) = T(x * L(x \ 1,T(x,y),1 / x),y). T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). x != T(T(y,y \ 1),z) / T(y,z) | x = a(T(y,z),1 / y,y). (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). x != (1 / y) \ L(1 / y,z,u) | x = y * L(y \ 1,z,u). a(T(x,y),1 / x,x) = x * L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). x != T(y,z) \ K(T(y,z),y \ 1) | x = T(1 / (1 / y),z) \ 1. T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. T(1,T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). T(1 / (1 / x),y) \ 1 = 1 / T(x,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). T(x,y) \ 1 = 1 / T((x \ 1) \ 1,y). 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. T(K(x,y),z) \ 1 = 1 / T(K(x,y),z). 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. x != 1 / (1 / y) | x = y * K(y \ 1,y). T(1 / (1 / x),y) = T(x,y) * K(T(x,y) \ 1,T(x,y)). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). x * (1 / T(y,z)) != y \ (y / T(y,z)) | x = T(K(y \ 1,y),z). K(x \ 1,x) = T(K(x \ 1,x),y). T(K(x \ 1,x),y) = K(x \ 1,x). T(x,K(y \ 1,y)) = x. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. x * (y * K(z \ 1,z)) = x * (K(z \ 1,z) * y). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). T((x \ 1) * x,y) = K(x \ 1,x). L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). x * y != T(z * x,K(u \ 1,u)) | T(z,x) = y. T(x \ 1,y) = (x \ 1) * (x * T(x \ 1,y)). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). x != T((y \ 1) * z,K(y \ 1,y)) | x = ((1 / y) * z) * K(y \ 1,y). (x \ 1) * y = ((1 / x) * y) * K(x \ 1,x). ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. T(x,K(y,1 / y)) = x. T(x,K(y,y \ 1)) = x. T(x,K(y \ z,z \ y)) = x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). T(K(x,x \ 1),y) = K(x,x \ 1). x * y != T(z * x,K(u,u \ 1)) | T(z,x) = y. T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). x != T(y * z,K(z,z \ 1)) | x = z * T(y,(z \ 1) \ 1). x * y = y * T(x,(y \ 1) \ 1). x * T(y,(x \ 1) \ 1) = y * x. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,y \ 1) = T(x,1 / y). T(x,1 / y) = T(x,y \ 1). T(x,T(y,y \ 1)) = T(x,y). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,T(y \ z,z \ y)) = T(x,y \ z). x * K(y \ 1,y) = (y \ 1) * ((1 / y) \ x). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). x * K(y \ 1,y) != z | x = z * K(y,y \ 1). (1 / x) * y = ((x \ 1) * y) * K(x,x \ 1). ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). T(x \ 1,y) * z != (x \ 1) \ T(x \ 1,y) | T(x,T(x \ 1,y)) = z. T(x,T(x \ 1,y)) = (x \ 1) \ 1. L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). x != L(y * T(y \ 1,z),y \ 1,z) | x = K(1 / y,z). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). x != K((y / z) \ y,u) | x = K(z,u). K(1 / (1 / x),y) = K(x,y). x != K(1 / y,(1 / y) \ (z / y)) | x = (T(z,1 / y) / y) \ (z / y). K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). x != K((y \ 1) \ 1,z) | 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 != 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). x * K(x,y) = K(x,y) * x. K(x,y) * x = x * K(x,y). K(x \ 1,x) * (y * K(x,x \ 1)) = y. x != y * K(z,z \ 1) | x = (y / (1 / (1 / z))) * z. K(x,x \ 1) * y = (y / (1 / (1 / x))) * x. (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. x != (y / (1 / z)) * K(z,z \ 1) | x = y / (z \ 1). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). x != (y * (z \ 1)) * K(z,z \ 1) | x = y * (1 / z). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). x != (y * K(z \ 1,z)) * K(z,z \ 1) | x = y. K(x,x \ 1) * (y * K(x \ 1,x)) = y. 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 != (y * z) * K(z,z \ 1) | x = y * ((z \ 1) \ 1). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x * y != ((x * z) * K(u \ 1,u)) * K(u,u \ 1) | y = z. (K(x,x \ 1) * y) * K(x \ 1,x) = y. x != K(y,y \ 1) * ((1 / y) \ z) | x = (y \ 1) \ z. ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. x != K(y,y \ 1) * (y \ z) | x = (1 / (1 / y)) \ z. (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. x != K(y,y \ 1) * (y * z) | x = T(y,y \ 1) * z. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. (K(x \ 1,x) * y) \ y = K(x,x \ 1). ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 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 * T(x,x \ 1)) = y * x. K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). K(x,x \ 1) * y != x \ z | y = ((x \ 1) \ 1) \ z. (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. K(x,x \ 1) * y != (x \ 1) \ z | y = (1 / x) \ z. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. K(x,x \ 1) * y != x * z | y = (1 / (1 / x)) * z. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * y != x * (T(x,z) / x) | y = T(1 / (1 / x),z). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. ((x \ 1) \ y) * (x \ 1) = ((1 / x) \ y) * (1 / x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. T(x,K(x,y)) = x. T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * x != z | x * K(x,y) = z. K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). (x * y) / x = T((x * y) / x,K(y,z)). T((x * y) / x,K(y,z)) = (x * y) / x. K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). T(x,y \ ((x * y) / x)) = x. T(x,T(y,x) \ y) = x. T(T(x,y) \ x,y) = T(x,y) \ x. (T(x,y) \ x) * y = y * (T(x,y) \ x). 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 \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. 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 * y != R(z,u \ 1,u) * K(u \ 1,u) | x \ ((z * (u \ 1)) * u) = y. K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((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) = (1 / ((x \ (x / (1 / 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 * K(y \ 1,y) = ((y \ 1) \ 1) \ (y * x). ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). (T(x,y) \ 1) \ 1 = T(T(x,x \ 1),y). T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. x != (K(y \ 1,y) * z) \ ((u * z) * K(y \ 1,y)) | x = L(T(u,z),z,K(y \ 1,y)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(K(x,y),T(z,y) \ z) = 1. K(x \ T(x,y),T(z,y) \ z) = 1. x * y != K(z \ T(z,u),T(w,u) \ w) | x \ 1 = y. (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. T(K(x,y),R(x,z,u)) = K(x,y). 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). (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). x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / 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(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). (1 / x) * T(y,x \ 1) = y * (1 / x). ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). T(K(x,y),T(x,z)) = K(x,y). x != K(y,z) | x = T(K(y,z),y). T(K(x,y),T(x,z)) = T(K(x,y),x). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). T(x / y,y / x) = ((x / y) \ 1) \ 1. T(x,T(x \ 1,y)) = T(x,x \ 1). x \ (y * (y \ (x * z))) != u * w | u \ z = w. (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. 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 != y * K(y \ z,z \ y) | x = z * (1 / (1 / (z \ y))). K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). (x \ y) * ((x \ 1) \ 1) = ((1 / (1 / x)) \ y) * x. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). x != K(y \ 1,y) * (y \ z) | x = z * T(z \ (y \ z),y). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),x). x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. (R(K(x,y),z,u) * x) * w != x * R(K(x,y),z,u) | 1 = w. 1 = K(x,R(K(x,y),z,u)). K(x,R(K(x,y),z,u)) = 1. x != R(y,z,T(u,z)) * (u * z) | x = (y * z) * T(u,z). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). T(x,T(y \ 1,z)) = T(x,T(1 / y,z)). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). x != T(y,T(y \ 1,z)) | x = T(y,y \ 1). T(x,T(1 / x,y)) = T(x,x \ 1). x != T(y,T(y \ 1,z)) | x = (y \ 1) \ 1. T(x,T(1 / x,y)) = (x \ 1) \ 1. ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). x * T(1 / x,y) = T(x,x \ 1) * T(x \ 1,y). T(x,x \ 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 \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | y = x * z. T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)). x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). x != (y * z) \ (y * (z * u)) | x = L(u,z,y). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. ((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). x != T(y,y \ 1) * ((y \ 1) * z) | x = K(y,y \ 1) * L(z,y \ 1,y). x * ((1 / x) * y) = K(x,x \ 1) * L(y,x \ 1,x). K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). L(x,1 / y,y) = L(x,y \ 1,y). x * y != L(z,u \ 1,u) | x \ L(z,1 / u,u) = y. x \ L(y,1 / x,x) = (x \ 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. 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). x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. (1 / (1 / x)) * ((y / (1 / (1 / x))) * x) = x * y. (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). T(K(x,y),(z * x) / z) = K(x,y). T(K(x \ y,z),y / x) = K(x \ y,z). T(x / y,K(y \ x,z)) = x / y. (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). ((((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). 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. T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ 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 * T(z,z \ 1) | x = K(z,z \ 1) * (y * z). x * ((x \ y) / y) = K(x,x \ 1) * (((x \ y) / y) * x). K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). x != K(y,y \ 1) * (((y \ z) / z) * y) | x = (y \ 1) \ ((y \ z) / z). x * ((x \ y) / y) = (x \ 1) \ ((x \ y) / y). (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). (1 / x) * (x * y) != z | z = L(y,x,x \ 1). (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). 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 * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x != y \ T(y * L((y * z) / y,u,w),y) | x = T(y * L(z,u,w),y) / y. L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. T(x * L(y,z,u),x) / x = L(T(x * y,x) / x,z,u). ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). x * y != z * (1 / (1 / (z \ (z / u)))) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). x != (1 / (1 / (y / z))) * z | x = z * (1 / (1 / (z \ y))). (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). x != L(y,z,u) * R(L(y,z,u) \ 1,L(y,z,u),y \ 1) | x = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u). L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). x != L(y * T(y \ 1,L(y,z,u)),z,u) | x = K(L(y,z,u) \ 1,L(y,z,u)). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). x * y != K(y \ 1,y) | x = y \ 1. (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (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)). (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). T(x,L(1 / y,z,u)) = T(x,L(y \ 1,z,u)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. x * ((y * z) * (1 / (1 / ((y * z) \ y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). x / T(x,y) != z | (1 / T(x,y)) * x = z. ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). x != ((y / z) * (z / y)) * (1 / (z / y)) | x = y / z. ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. x * y != z / (u \ z) | u / y = x. x / (((x \ y) / y) \ 1) = ((x \ y) / y) * (y / (x \ y)). ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). x != (L(y,1 / y,z) * z) / L(y,1 / y,z) | x = z * (T(y,z) / y). (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). (T(x,y) / x) / (y \ 1) = y * (T(x,y) / 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). 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 \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. (x \ 1) / (x \ R(x,y,z)) != u | u = (x \ R(x,y,z)) \ (x \ 1). (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. x * y != (z \ R(z,u,w)) \ (z \ 1) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (R(x,y,z) / x) \ (1 / x) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). x != y * T(T(T(z,y),u),w) | x = T(T(z,u),w) * y. x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). x != y * (T(T(y,y \ 1),z) * (T(y,y \ 1) \ u)) | x = K(y \ 1,y) * (T(T(y,y \ 1),z) * u). T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),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. 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 * y != T(x,x \ 1) * T(x \ 1,z) | y = T(1 / x,z). K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). x * y != (z / (u \ z)) \ w | x \ (u \ w) = y. (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u). L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). (x \ 1) \ (x \ L(y,z,u)) = L((x \ 1) \ (x \ y),z,u). (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 * ((x \ y) \ 1)) = a(x,x \ y,(x \ y) \ 1). a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). x != R(y / (z / u),z / u,u) | x = (y * u) / z. ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. ((x / y) * (y / x)) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). x != ((y / z) * (z / y)) / (y / z) | x = 1 / (1 / (z / y)). (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). x != (K(y,y \ 1) * z) / (y * z) | x = R(1 / (1 / (1 / y)),y,z). 1 / (1 / R(1 / x,x,y)) = R(1 / (1 / (1 / x)),x,y). T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). x != R(T(y / (1 / (1 / z)),z * u),z,u) | x = (z * u) \ ((y * K(z,z \ 1)) * u). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). x != T(1 / (1 / (y / z)),z) | x = 1 / (1 / (z \ y)). (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. x * y != z * (1 / (1 / (z \ y))) | x = K(y \ z,z \ y). K(x,x \ 1) = K(y \ (x * y),(x * y) \ y). K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). K(T(x,y),(x * y) \ y) = K(x,x \ 1). x != K(T(y,z),(y * z) \ z) | 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). K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). x != K(y \ 1,y) * z | x = z * K(y \ 1,y). T(x,y) \ 1 = (1 / T(x,y)) * K(x \ 1,x). (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. x != K(y \ 1,y) * (1 / T(y,z)) | x = y \ (y / T(y,z)). T(x,y) \ 1 = x \ (x / T(x,y)). x \ (x / T(x,y)) = T(x,y) \ 1. x * (T(x,y) \ 1) = x / T(x,y). x != y * (T(y,z) \ 1) | x = T(y,z) \ y. x / T(x,y) = T(x,y) \ x. (1 / T(x,y)) * x = T(x,y) \ x. x * y != z / T(z,u) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = 1 / T(x,y). (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) \ x = T(x,y). T(x,y) \ x != z | (1 / T(x,y)) * x = z. 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. T(x,y) \ x != z | x / T(x,y) = z. 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). 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) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). T(x \ T(x,y),y) = x \ T(x,y). (x \ T(x,y)) * y = y * (x \ T(x,y)). (x \ T(x,y)) * T(y,z) = T(y,z) * (x \ T(x,y)). T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). T(x \ T(x,y),T(y,z)) = x \ T(x,y). ((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 * 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 / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). x != K(T(y / z,T(z,y)) \ 1,T(y / z,T(z,y))) | x = K(y \ z,z \ y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). x != K(T(y,z) \ 1,T(y,z)) | x = K((y * z) \ z,T(y,z)). K(x \ 1,x) = K((x * y) \ y,T(x,y)). K((x * y) \ y,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(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). T(x,y) * z != x * (T(x,y) / x) | 1 = z. 1 = K(x,T(x,y) / x). K(x,T(x,y) / x) = 1. (x \ T(x,y)) * x = T(x,y). x != T(y,z) / y | x = (1 / y) * T((1 / y) \ 1,z). x \ T(x,y) = (1 / x) * T((1 / x) \ 1,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). x != T(y,z) / y | x = (1 / y) * T(y,z). x \ T(x,y) = (1 / x) * T(x,y). (1 / x) * T(x,y) = x \ T(x,y). x != T(y,R(z,z \ 1,y)) / y | x = z \ ((y * z) / y). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). T(x,x / (x * y)) = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = T(x,x / (x * y)). x * y != K(z,T(z,u) / z) | x \ 1 = y. x \ 1 = T(1 / x,T(x,y)). T(1 / x,T(x,y)) = x \ 1. x != T(1 / 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 / (y * x),T(y,z)) = R(y \ 1,y,x). T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). T(x,x \ T(x,y)) = x. T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). (x \ ((x \ y) \ y)) * x = T(x,x \ y). (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). T(K(x,y),T(y,z)) = K(x,y). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. ((x * y) / x) * z != y \ ((x * y) / x) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. L(x \ 1,x,T(y,x) \ y) = x \ 1. x != T(y,z) \ K(y,y \ 1) | x = y * (T(y,z) \ (1 / y)). 1 / T(x,y) = x * (T(x,y) \ (1 / x)). x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x * y != T(z,u) \ K(z,z \ 1) | x \ (1 / T(z,u)) = y. (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. 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. (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. x != (1 / y) \ (1 / T(y,z)) | x = T(y,z) \ y. (x \ T(x,y)) \ 1 = T(x,y) \ x. x != (y \ T(y,z)) \ 1 | x = 1 / (y \ T(y,z)). T(x,y) \ x = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = T(x,y) \ x. x != (y \ T(y,z)) \ 1 | x = (y \ 1) \ (T(y,z) \ 1). T(x,y) \ x = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x \ (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(x \ 1,y) \ (x \ 1). x * ((T(x,y) \ x) \ 1) = T(x,y). 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). (x \ (y * 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. T(x,K(y,x) \ 1) = x. L(x \ 1,x,K(y,x) \ 1) = x \ 1. (K(x,y) \ 1) * y = y * (K(x,y) \ 1). L(x \ 1,x,K(y,x) \ 1) = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). x != L(y \ 1,y,K(z,y) \ 1) | x = y \ 1. (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1. (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. x != 1 / (y \ ((z * y) / z)) | x = T(z,R(y,y \ 1,z)) \ z. ((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). (x * (T(y,x) \ y)) \ x = y \ T(y,x). x / (y \ T(y,x)) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). x \ (y \ T(y,x)) = (x * (T(y,x) \ y)) \ 1. (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). x * y != (x * (z \ T(z,x))) \ (x * u) | y = (x * (z \ T(z,x))) \ u. T(x,y) \ x = (y * (x \ T(x,y))) \ y. (x * (y \ T(y,x))) \ x = T(y,x) \ y. R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). x != (1 / y) * (y * z) | x = L(z,y,1 / y). R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). x != R(y \ ((z * u) / z),y,u \ z) | x = T(T(z,u) / (y * (u \ z)),y). L(x \ T(x,y),y,1 / y) = T(T(x,y) / (y * (y \ x)),y). T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). T(T(x,y) / x,y) = L(x \ T(x,y),y,1 / y). L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). x != T(y \ T(y,z),z) | x = y \ T(y,z). L(x \ T(x,y),y,1 / y) = x \ T(x,y). x * y != L(z \ T(z,u),u,1 / u) | (z \ T(z,u)) / y = x. (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. R(1 / x,x,y \ T(y,x)) = 1 / x. R(1 / x,x,y * T(y \ 1,x)) = 1 / x. R(1 / x,x,K(y,x)) = 1 / x. (1 / x) \ K(y,x) = x * K(y,x). x != (y / (z \ y)) \ u | x = z \ u. (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). (1 / x) * (x * K(y,x)) = K(y,x). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). x * K(y \ 1,y) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). K(x \ y,y \ x) = K(y / x,x / y). K(x / y,y / x) = K(y \ x,x \ y). x != K(y / z,z / y) | x = K(y / z,(y / z) \ 1). K(x \ y,y \ x) = K(y / x,(y / x) \ 1). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. 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. K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x != K(y \ 1,y) * (z / (y * z)) | x = R(y \ 1,y,z). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. x != ((y / (z * y)) \ 1) \ 1 | x = y / (((z \ 1) \ 1) * y). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. (x / (y * x)) * y = y * (((x / (y * x)) \ 1) \ 1). x * (((y / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x \ 1,x,y) = R(x \ 1,(x \ 1) \ 1,y). R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ 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 = T(y,y / (y * z)). T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). T(x,R(1 / y,y,z)) = T(x,R(y \ 1,(y \ 1) \ 1,z)). T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). ((((x * y) / ((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). x != T(y,R(1 / z,z,y)) | x = (z * ((y * (z \ 1)) / y)) * y. T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. T(x,R((y \ z) \ 1,((y \ z) \ 1) \ 1,x)) = (y \ (z * ((x * (z \ y)) / x))) * x. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = (y \ (x * (y / x))) * x. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. x != K(y,z) * y | x = y * K(y,z). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = x * K(x,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 != y / K(z,y) | x = K(z,y) \ y. x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). 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 * (K(y,x) \ 1) = K(y,x) \ x. x * y != z / K(u,z) | x \ (K(u,z) \ z) = y. x \ (K(y,x) \ x) = K(y,x) \ 1. x * 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) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). (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). x != (T(y,y \ z) * u) \ (u * ((y \ z) \ z)) | x = K(u,(y \ z) \ z). K(x,y) = K(x,(y \ 1) \ 1). K(x,(y \ 1) \ 1) = K(x,y). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,T(y,y \ 1)) = K(x,y). 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). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). x != K(R(y,z,u),1 / y) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). K(R(x,y,z),x \ 1) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). 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)). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). x != R(1 / (1 / y),z,u) / R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. (x \ T(x,y)) * T(x,z) = T(x,z) * (x \ T(x,y)). T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). T(x,K(y \ (y / (x \ 1)),y)) = x. x != T(y,z) * (y \ T(y,u)) | x = T(y,u) * (y \ T(y,z)). (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. x = R(x,x \ T(x,y),T(x,z)). R(x,x \ T(x,y),T(x,z)) = x. L(x,x \ T(x,y),x) = x. x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x,y \ T(y,z),y) = (y \ T(y,z)) * (y * (T(y,z) \ x)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). x * y != L(z,z \ T(z,u),z) | x \ z = y. (x \ T(x,y)) \ x = x * (T(x,y) \ x). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. (K(x,y) \ y) \ 1 = y \ ((((y * x) \ y) \ 1) \ T(((y * x) \ y) \ 1,y)). x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. x \ K(y,x) = (K(y,x) \ x) \ 1. (K(x,y) \ y) \ 1 = y \ K(x,y). 1 / (x \ K(y,x)) = K(y,x) \ x. x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. x * (K(x,y) \ 1) = K(x,y) \ x. (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. K(x,y) * R(y,z,u) != R(y,z,u) * w | K(x,y) = w. R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). a(R(x,y,z),1 / x,x) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. 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 \ 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 \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. K(x \ 1,x) * y = T(1 / x,z) \ (T(x \ 1,z) * y). T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * 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. T(1 / x,y) * ((x \ 1) \ z) = T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * 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) \ 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). T(x,L(K(y,x),z,u)) = x. x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. x != y * (z * K(y \ 1,y)) | x = (y * z) * K(y \ 1,y). T(x,y) \ x = (x * (1 / T(x,y))) * K(x \ 1,x). (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. ((T(x,y) \ x) / x) \ 1 = T(x,y). (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | x = K(y \ 1,y). K(x \ 1,T(x,y)) = K(x \ 1,x). R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. x != T((y * z) / y,K(y \ (y / (((y * z) / y) \ 1)),y)) | x = (((y * z) / y) \ z) \ z. (x * y) / x = (((x * y) / x) \ y) \ y. (((x * y) / x) \ y) \ y = (x * y) / x. (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,x \ 1),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x != (y \ 1) \ ((y \ z) / z) | x = y * ((y \ z) / z). 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 != y * ((y \ R(y,z,u)) / R(y,z,u)) | x = K(R(y,z,u),y \ 1). a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). 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 \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). x \ (y * T(y \ x,T(y,x))) = K(T(x / y,T(y,x)),T(y,x)). ((x / y) * y) * z != u * w | w \ (x * z) = T(u,w). ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). (x / (y \ x)) \ z != u | y \ z = u. T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. T(x * y,(x \ 1) \ y) = x * y. K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,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). 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,x,y / x) != z | T(y / x,y) = z. T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. T(T(x,x / y) / y,x) = x / y. x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)). (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * 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)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | x = K(R(y,z,u),R(y,z,u) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). x != (R(y,z,u) / y) \ (1 / y) | x = R(1 / (1 / y),z,u) \ 1. 1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / x,y,z) \ 1 = 1 / R(x \ 1,y,z). 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. R(x,y,z) \ 1 = 1 / R((x \ 1) \ 1,y,z). 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). (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. T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * 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. (((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. 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). T(x,R(y \ 1,z,u)) = T(x,R(1 / y,z,u)). T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). (x * y) / z != u | R(x / (z / y),z / y,y) = u. (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(K(x,y),L(x,z,u)) = K(x,y). L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. x * y != R(R(z / u,w,v5),u,u \ 1) | R(z * (u \ 1),w,v5) / y = x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). R(x,y,z) / (u \ 1) = u * R(u \ (x / (u \ 1)),y,z). x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). x * 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(x \ 1,R(x,y,z)) \ 1 = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = 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)). a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). x != a(R(y,z,u),1 / y,y) \ 1 | x = R(T(y,y \ 1),z,u) \ R(y,z,u). K(x \ 1,R(x,y,z)) = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). x != R(T(y,y \ 1),z,u) \ R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). K(x \ 1,R(x,y,z)) = x * T(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)). K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | x = 1 / (1 / R(y,z,u)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). x * y != 1 / (1 / x) | y = K(x \ 1,x). 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)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). 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. L(x,y,K(z \ 1,R(z,y,x))) = x. L(x,y,K(z,R(z \ 1,y,x))) = x. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). x * y != K(z,R(z \ 1,u,y)) * (u * y) | x = u * K(z,z \ 1). K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | x = K(z,z \ 1). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x * 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 != (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 != R(y,z,K(y \ 1,y)) | x = y. R(x,K(x \ 1,x),y) = x. x != R(1 / y,z,K(y \ 1,y)) | x = 1 / y. R(1 / x,K(x \ 1,x),y) = 1 / x. (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). K(x,x \ 1) / y = K(x,x \ 1) * (1 / y). K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. L(x,y,K(z,1 / z)) = x. L(x,y,K(z \ 1,z)) = x. L(x,y,K(z \ u,u \ z)) = x. (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. 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 \ R(y,z \ 1,z),y,K(z \ 1,z)) | x = a(y,z \ 1,z). x \ R(x,y \ 1,y) = a(x,y \ 1,y). x != L(L(y,z,1 / u),(1 / u) * z,K(u \ 1,u)) | x = L(y,z,u \ 1). L(x,y,1 / z) = L(x,y,z \ 1). x != L((y * K(z,z \ 1)) \ u,y * K(z,z \ 1),K(z \ 1,z)) | x = y \ (K(z \ 1,z) * u). (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). (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 \ 1,y)) * z = K(y \ 1,y) * (x * z). ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). x / y = K(x \ 1,x) * (((x \ 1) \ 1) / y). K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. (1 / (1 / x)) / y = K(x \ 1,x) * (x / y). K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. K(x \ 1,R(x,y,z)) = K(x \ 1,x). (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). x * y != z * ((1 / u) * u) | z / y = x. K(x \ 1,x) / y = (1 / y) * K(x \ 1,x). (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. (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). 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,y,z) != u | R(x,y,z) / x = u. (x \ R(x,y,z)) * x = R(x,y,z). T(x \ R(x,y,z),x) = x \ R(x,y,z). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T(x \ R(x,y,z),x) != u | x \ R(x,y,z) = u. (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). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x != (K(y \ 1,y) * z) / u | x = K(y \ 1,y) * (z / u). R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * ((x * ((1 / y) * z)) / ((y \ 1) * z)). K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). 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 * x) / y) = y \ T(y,x). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). (x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (z * x) / z | y = ((z * x) / z) / x. x \ T(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = x \ T(x,y). ((x * y) / x) \ y = T(x,y) \ x. (T(x,y) \ x) * ((x * y) / x) = 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). (x / y) \ (y \ x) = T(y,y \ x) \ y. T(x,x \ y) \ x = (y / x) \ (x \ y). x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). (x / y) \ (y \ x) = y \ (x / (x / y)). x != (y / z) \ (z \ y) | x = T(z,z \ y) \ z. x \ (y / (y / x)) = T(x,x \ y) \ x. T(x,x \ y) \ x = x \ (y / (y / x)). x * (T(x,x \ y) \ x) = y / (y / x). x / (x / y) = y * (T(y,y \ x) \ y). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). x != (y * z) / ((y * z) / y) | x = z / (y \ ((y * z) / y)). x * (T(x,y) \ x) = y / (x \ ((x * y) / x)). x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). x * (y \ T(y,z)) != z | x = T(z,T(y,z)). x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. (x \ T(x,y)) \ y = T(y,T(x,y)). 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. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. 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). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x != 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 \ 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 * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). K(x,y) \ y = T(y,T(L(x \ 1,x,y) \ 1,y)). T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. 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). (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. L(x \ T(x,T(y,x)),T(y,x),x) = K(x,y). x != (y \ T(y,z)) * y | x = T(y,z). T(x,R(y,y \ 1,x)) = T(x,y). x != T(y,R((z \ y) \ 1,((z \ y) \ 1) \ 1,y)) | x = y * K(y,z / y). T(x,(y \ x) \ 1) = x * K(x,y / x). T(x,R(y \ 1,y,x)) = T(x,y \ 1). x != T(y,R(z \ 1,z,y)) | x = T(y,y / (y * z)). T(x,y \ 1) = T(x,x / (x * y)). T(x,x / (x * y)) = T(x,y \ 1). x * y != T(z,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 * ((y / z) / y)) * z. T(x,y \ 1) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). (x \ y) * (x \ ((x \ y) \ y)) = y / x. (x \ y) \ (y / x) = x \ ((x \ y) \ y). R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * y != T(x,z) * u | y = T(x,z) * (x \ u). (x \ T(x,y)) * z = T(x,y) * (x \ z). x * y != T(x,z) * (x * u) | y = T(x,z) * u. (x \ T(x,y)) * (x * z) = T(x,y) * z. (T(x,y) * z) / (x * z) = x \ T(x,y). (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. L(x,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y. ((x * y) / x) \ z = y \ ((T(x,y) \ x) * z). x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x != y * (((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 = (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 = R(x,x \ T(x,y),z). R(x,x \ T(x,y),z) = 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) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. (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 \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. T(x,y / x) \ x != z | y / (x * (y / x)) = z. x * (((y * x) / (x * y)) \ 1) = T(x,y). (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x != (y \ z) \ (z / y) | x = y \ ((y \ z) \ z). (x * (y / x)) / y = x \ ((x \ y) \ y). x != (y * ((z \ y) / y)) / (z \ y) | x = y \ T(y,z \ 1). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). (x \ 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 * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. T(x,y \ 1) \ x = K(x \ (x / y),x). K(x \ (x / y),x) = T(x,y \ 1) \ x. T(x,(y \ 1) \ 1) \ x = y \ T(y,x). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. T(x,y) \ x = y \ T(y,x). x != (y / z) \ T(y / z,z) | x = z \ (y / (y / z)). 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. (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). (T(x,y) \ x) * z = T(y,x) * (y \ z). T(x,y) * (x \ z) = (T(y,x) \ y) * z. x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. x != y * (T(y,y \ z) \ y) | x = z / (z / y). ((x \ y) * x) / (x \ y) = y / (y / x). T(x * (T(x,y) \ x),y) = x. T(x / (x / y),y \ x) = y. 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 != 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 != T(y,T((z \ u) / u,y)) | x = T(y,T(z \ 1,y)). T(x,(y \ z) / z) = T(x,T(y \ 1,x)). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / (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(L(x,y,z),T(u,x)) = L(T(x,u),y,z). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). x * T(y,T(x,y)) = y * x. T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. T(x,y) = T(x,(x * y) / x). T(x,(x * y) / x) = T(x,y). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). (x * y) / T(y,x) = T(x,y). x != T(y,T(z,y)) | x = T(y,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)) \ z = (T(x,y) \ x) * z. x * (T(x,y) \ z) = (T(x,y) \ x) * z. (T(x,y) \ x) * z = x * (T(x,y) \ z). x * y = (T(x,z) \ x) * (T(x,z) * y). (T(x,y) \ x) * (T(x,y) * z) = x * z. x * y != (T(x,z) \ x) * (x * z) | T(z,x) = y. T(x,y) = T(y,x) \ (y * x). T(x,y) \ (x * y) = T(y,x). x * y != (T(z,u) \ z) * ((z * u) / z) | x \ u = y. x \ y = T(x,y) \ ((x * y) / x). T(x,y) \ ((x * y) / x) = x \ y. x * y != (T(z,u) \ z) * w | x \ (z * (T(z,u) \ w)) = y. x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y != (T(z,u) \ z) * (T(z,u) * w) | x \ (z * w) = y. x \ (y * z) = ((y * x) / y) \ (T(y,x) * z). ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). x != T(y,y / (z * y)) | x = z * (y * ((z \ y) / y)). T(x,y \ 1) = y * (x * ((y \ x) / x)). x * (y * ((x \ y) / y)) = T(y,x \ 1). x * y != T(z,u / (w * u)) | x \ T(z,w \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). x * y != T(z,(u \ 1) \ 1) | x \ T(z,u) = y. (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). x != T(y,z) * (y * u) | x = y * (T(y,z) * u). T(x,T(x,y) \ 1) = x * (T(x,y) * ((T(x,y) \ x) / x)). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). x != (T(y,z) \ y) * u | x = y * (T(y,z) \ u). x * T(x \ y,z) = z * (T(z,y / x) \ y). T(T(x,L(y,z,u)),w) = T(T(x,w),L(T(y,x),z,u)). T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,x \ y) \ y = T(x \ y,x). (x \ (y * x)) \ (y * x) = T(x,y). x * T(y,z) != z * y | x = T(z,y). x * T(y,z) != z * y | T(z,y) = x. T(x,y) * (x \ T(y,x)) = y. (x / T(y,x)) * y = T(x,y). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). x != T(y,z) | x = T(y,T(z,y)). (x / T(y,x)) * y = T(x,T(y,x)). T(x,y) / y = x / T(y,x). x / (y * (x / y)) = y \ (x / (x / y)). x != T(y,z) \ ((y * z) / y) | x = T(z / y,T(y,z)). x \ y = T(y / x,T(x,y)). T(x / y,T(y,x)) = y \ x. T(x,y) * (x \ y) = (x * y) / x. 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 \ y,y) * z != ((x \ y) * y) / (x \ y) | T(x,T(x \ y,y)) = z. T(x,T(x \ y,y)) = (x \ y) \ y. T(x,y * x) * z != (x * (y * x)) / x | T(y,T(x,y * x)) = z. T(x,T(y,x * y)) = y \ (x * y). x * (y \ z) != (y * z) / y | x = T(y,y / (y / z)). T(x,y) = T(x,x / (x / y)). T(x,x / (x / y)) = T(x,y). ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). 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). 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). 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(z,y)) * z | x = T(y,z). R(T(x,x * y),y,x) = T(x,y). (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 * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). 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). L(R(x,y,x),y,x) = x. (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). x * (y * x) = (L(x,y,x) * y) * x. (L(x,y,x) * y) * x = x * (y * x). x * y != x * (z * x) | T(L(x,z,x) * z,x) = y. T(L(x,y,x) * y,x) = y * x. (x * (y * x)) / x = L(x,y,x) * y. x * y != y * (z * y) | x = z * T(y,z * y). L(x,y,x) * y = y * T(x,y * x). x * T(y,x * y) = L(y,x,y) * x. 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). x * y != z * T(u,z * u) | x \ ((u * (z * u)) / u) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. L(x,y,x) = T((y * x) / y,y * x). T((x * y) / x,x * y) = L(y,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). R(T(x,y),x \ y,x) = T(x,x \ y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). T((x \ y) * T(x,y),x) = (x \ y) * x. T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). 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). L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. T((x * y) / x,L(x,y,x)) = y. L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). 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. x * y != T((y \ z) * y,y) | x = y \ T(z,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. R(T(x,y),x \ y,x) = (x \ y) \ 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) * 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). T(x,y) / z = y * (T(y,(x / z) / (1 / z)) \ (x / z)). x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. 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 * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. 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(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)) * x = y * T(x,x \ y). (x * (y / x)) / T(x,x \ y) = y / x. (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 != (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) * u) | x = y * u. T(x,y) * (x \ (T(y,x) * z)) = y * z. 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). T(x,x \ R(x,y,z)) = x. T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). T(x,x \ y) * (x \ y) = x * (y / x). T(x / y,y) * y = (x / y) * (x / (x / y)). 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 * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). T(x,x \ y) * z != x * (x * (y / x)) | z = 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 * y != (z * (z \ u)) * w | x \ (u * w) = y. (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)) = T(x,x \ y). T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). ((1 / x) * y) \ z = ((x \ 1) * y) \ (K(x \ 1,x) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. 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 != T(y,(z \ y) \ 1) | x = y * K(y,z / y). K(x \ y,x) \ x = x * K(x,y / x). K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). K(T(x,y),y) * K(y,x) = 1. K(x,y) \ 1 = K(T(y,x),x). K(T(x,y),y) = K(y,x) \ 1. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. x != K(T(y,z),z) \ 1 | x = K(z,y). K(T(x,T(y,x)),T(y,x)) = K(x,y). K(x \ 1,x) * (y \ x) = (1 / (1 / x)) / T(y,y \ x). (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). (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). x \ T(x,y) != z | z = (1 / x) * T((1 / x) \ 1,y). x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. x * L(y,x,y) = T(x,y) * T(y,y * x). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). T((x \ 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. T(x \ T(x,y),y * x) = K(x,y). x != T(y \ T(y,z \ 1),u) | x = y \ T(y,T(z,u) \ 1). K(x,y \ 1) = x \ T(x,T(y,(y \ 1) * x) \ 1). x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). (x \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. 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). x != L(y \ T(y,T(z,y)),T(z,y),y) | x = K(y,z). R(K(x,y),x,z) = K(x,y). L(x \ T(x,T(y,x)),T(y,x),x) != z | z = K(x,y). L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). R(K(x,y),x,z) != u | K(x,y) = u. x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x \ (y \ T(x,y \ 1)) = (y \ x) / x. x != y \ T(y * z,y \ 1) | x = ((y \ 1) \ z) * (y \ 1). (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). (x / y) \ T(x,(x / y) \ 1) = x * (y / x). (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 * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). x \ 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. T(x \ T(x * y,y),x) = R(y,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. ((x * y) \ y) \ y = T(x * y,x \ 1). T(x * y,x \ 1) = ((x * y) \ y) \ y. x / T(y * x,y \ 1) = (y * x) \ x. T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. T(x / (x / (x / y)),y) = x / y. (x \ y) * R(x,z,u) != w | R(y / (y / x),z,u) * (x \ y) = w. x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u). (x \ y) * x = (y * (x \ y)) / (y / x). (x * (y \ x)) / (x / y) = (y \ x) * y. ((x \ y) * x) * (y / x) = y * (x \ y). x * y != T(z,u) * T(u,z) | (z * u) / y = x. (x * y) / T(T(x,y),y) = T(y,x). T(x,y) \ (y * x) != z | z = T(T(y,x),x). T(x,y) \ (y * x) != z | T(T(y,x),x) = z. L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. x * (T(x,y) \ y) != z | z = T(y,x). x * (T(x,y) \ y) != z | T(y,x) = z. T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). T(x,T(y,x)) != z | T(x,y) = z. ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). x != ((y * z) / u) * T(((y * z) / u) \ y,w) | x = (y * (z * T(z \ u,w))) / u. x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. ((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 * 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 \ T(x,y)) \ (((x * y) / x) * z) = y * z. (x \ T(x,x \ y)) \ y = (x \ y) * x. (x \ ((x \ y) \ y)) \ y = (x \ y) * x. x / ((y \ x) * y) = y \ ((y \ x) \ x). x != y \ ((y \ z) \ z) | x = (y * (z / y)) / z. x / ((y \ x) * y) = (y * (x / y)) / x. (x * (y / x)) / y = y / ((x \ y) * x). T(((x / y) / x) * ((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 \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. x * K(y \ 1,y) != (z / u) * u | x = z * K(y,y \ 1). x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). x != y \ ((z \ u) \ u) | x = y \ T(z,z \ u). (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (x \ T(y,y \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). (x \ 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)). x * K(y \ 1,y) != T(y,z) \ y | x = y * (1 / T(y,z)). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). x * K(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). x != y * K(y,y \ 1) | x = (y \ 1) \ 1. T(x,T(x,y) \ 1) = (x \ 1) \ 1. (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. ((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 != L(K(y,z),z * y,1 / z) | x = L(y,z,z \ 1) \ ((1 / z) * (y * z)). L(K(x,y),y * x,y \ 1) = L(x,y,y \ 1) \ ((1 / y) * (x * y)). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). x != L(y \ z,y,u / z) | x = ((u / z) * y) \ u. L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). R(x,x \ (K(y,x) \ x),z) = x. R(x,K(y,x) \ 1,z) = x. R(x,K(x,y),z) = x. T(x,y) = R(T(x,y),K(x,z),u). R(T(x,y),K(x,z),u) = T(x,y). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). (T(x,y) / y) \ x = T(y,x). x * (y / T(x,y)) = T(x * (y / x),x). T(x * (y / x),x) = x * (y / T(x,y)). x / T(y,x) != z | z = T(x,y) / y. x / T(y,x) != z | T(x,y) / y = z. L(x,y,K(y,z)) = x. L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. (K(x \ 1,x) * y) \ y = K(R(x,z,u),R(x,z,u) \ 1). K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. x * y != K(z \ 1,z) * (1 / R(z,u,w)) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (1 / x) \ (1 / R(x,y,z)). (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. (x \ ((y \ 1) \ 1)) * K(y \ 1,(y \ 1) \ 1) = (1 / (y \ 1)) / T(x,x \ T(y,y \ 1)). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x != (y \ ((z \ 1) \ 1)) * K(z \ 1,z) | x = y \ z. x / T(y,y \ T(x,x \ 1)) = y \ x. (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). x != (1 / (1 / y)) / T(z,z \ y) | x = K(y \ 1,y) * (z \ y). x \ (1 / (1 / y)) = K(y \ 1,y) * (x \ y). K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. (x \ y) * z = K(y,y \ 1) * ((x \ (1 / (1 / y))) * z). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. 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 != L(y,z,z \ 1) \ ((1 / z) * (y * z)) | x = L(K(y,z),z * y,z \ 1). T(x,(1 / x) * (y * x)) \ x = L(K(y,x),x * y,x \ 1). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). x * R(y,x,y) = (x \ T(x * y,y)) * x. (x \ T(x * y,y)) * x = x * R(y,x,y). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). T(x,T(y,y \ x)) = T(x,y). T(x * y,T(y,x)) = T(x * y,y). T(x \ y,x) = ((x \ y) \ y) \ y. T(x,T(y,x / y)) = T(x,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 \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. 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). T(x,x \ y) = T(x,(x \ 1) * y). T(x,(x \ 1) * y) = T(x,x \ y). x != T(y,(y \ 1) * z) | x = T(y,(1 / y) * z). T(x,x \ y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,x \ y). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. x != (y \ T(y,y \ z)) * z | x = y * (z / y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). 1 * x = L(x,y,K(y,z)). L(x,y,K(y,z)) = 1 * x. T(x,y) * (K(x \ 1,x) * z) = (T(x,y) * K(x \ 1,x)) * z. (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). K(x,1 / x) / y = K(x,1 / x) * (1 / y). K(x,1 / x) * (1 / y) = K(x,1 / x) / y. K(x,x \ R(x,y,z)) = 1. L(x,y,K(y,z)) != u | u = x. T(x * y,T(x,y)) = T(x * y,x). (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). L(x,y,K(z \ 1,z)) != u | x = u. (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). x * R(y,x,y) != z | z = T(y * x,y). x * R(y,x,y) != z | T(y * x,y) = z. T(x,(y \ z) / z) != u | T(x,y \ 1) = u. x != T(y \ T(y * z,z),y) | x = R(z,y,z). T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). (x \ y) \ y = T((y / x) \ y,y / x). T((x / y) \ x,x / y) = (y \ x) \ x. T(x,T(x \ y,y)) = T(x,x \ y). T(x,T(y,x * y)) = T(x,y). T(x,T(y,y * x)) = T(x,y). T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. T(x / y,(x * y) / x) = y \ x. K(T(x,y),T(y,x)) = K(x,y). (x * (y / x)) / x = y / (y / (y / x)). L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). x * y != T(x,T(z,z \ x) \ 1) | y = K(x,(z \ x) / x). K(x,y \ 1) = K(x,(y \ x) / x). K(x,(y \ x) / x) = K(x,y \ 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). x != y * ((y \ 1) * z) | x = L(z,y \ 1,y). L(x,T(y \ 1,z),y) = L(x,y \ 1,y). R(K(x,x \ 1),y,z) = K(x,x \ 1). x != R(K(y,y \ 1),z,u) | x = R(y,z,u) * ((1 / y) * (R(y,z,u) \ y)). K(x,x \ 1) = R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). x != (K(y \ 1,y) * z) \ z | x = K(y,y \ 1). K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). R(x,y,z) * u != K(x,x \ 1) | u = (1 / x) * (R(x,y,z) \ x). 1 / R(x,y,z) = (1 / x) * (R(x,y,z) \ x). (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / x) \ (1 / R(x,y,z)) != 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 \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. x != (y \ 1) \ (R(y,z,u) \ 1) | x = (y \ R(y,z,u)) \ 1. R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. 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. 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. 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). T(x,y / (z * y)) != u | T(x,z \ 1) = u. T(x,y / z) != u | T(x,(z / y) \ 1) = u. T(x,R(y \ 1,y,z)) != u | T(x,y \ 1) = u. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). ((x \ 1) * T(x,y)) * z = (x \ T(x,y)) * (z * K(x \ 1,x)). (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) * z = T(x,y) * (x \ (z * K(x \ 1,x))). T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. 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(T(x,y),x * z) = T(T(x,y),z * x). T(T(x,y),z * x) = T(T(x,y),x * z). T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. x != 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)). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. 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). x != T(y * z,y) \ T(z * y,y) | x = K(y \ T(y * z,y),y). K(x,y) = K(y \ T(y * x,y),y). K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). K(x \ y,x) = K(x \ ((x * y) / x),x). K(x \ ((x * y) / x),x) = K(x \ y,x). K(((x * y) / x) \ x,y) = K(y \ x,y). x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). T(x,(y \ x) * y) = x. T((x \ y) * x,y) = (x \ y) * x. T(x * (y / x),y) = x * (y / x). T(x * (y / x),y) / y = y / ((x \ y) * x). T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)). x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. x / (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)). 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). T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). x * y != z * ((z / (1 / u)) / z) | x \ (T(z,u) / (1 / u)) = y. x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. (x / y) \ T(x,x \ y) = x * (y / x). (x / (y * x)) \ T(x,x \ (y * x)) = 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(x,K(y \ 1,y),T(y,z)) = x. L(x,K(y \ 1,y),T(T(y,z),u)) = x. ((x \ T(x,y)) * x) * z = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. x != T(T(y,y \ 1),z) * (K(y \ 1,y) * u) | x = K(y \ 1,y) * (T(T(y,y \ 1),z) * u). ((x \ T(x,y)) * x) * z = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). (x \ 1) * (T(1 / x,y) * z) = (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z). (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (1 / x) * y != (x \ 1) * z | y = K(x \ 1,x) * z. T(x \ 1,y) * z = K(x \ 1,x) * (T(1 / x,y) * z). K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. x * y != (1 / z) * (T(z \ 1,u) * ((z \ 1) \ w)) | (T(1 / z,u) * w) / y = x. (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. ((x \ 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(1 / y,z),y) = L(x,T(y \ 1,z),(y \ 1) \ 1). L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). x != L(y,z,(u \ 1) \ 1) | x = L(y,z,u). L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). x != L(y,T(z \ 1,u),z) | x = L(y,z \ 1,z). (x * T(1 / x,y)) \ (x * z) = L(T(1 / x,y) \ z,x \ 1,x). L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). x != T(1 / y,z) * ((y * T(1 / y,z)) \ u) | 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). R(x,K(y,y \ 1),z) = x. 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 / (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(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 * (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,1 / z)) = x. x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). R(x,y,K(z,z \ 1)) = x. R(x,y,K(1 / z,z)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z). (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). x * (y * K(1 / z,z)) != u * K(1 / z,z) | x * y = u. x * K(1 / y,y) != z * (u * K(1 / y,y)) | z * u = x. T(x,y * K(z,z \ 1)) = T(x,y). T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,y * (z \ 1)) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,(y \ 1) * z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,K(y \ 1,y) * z) = T(x,z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,y) = T(x,K(z,z \ 1) * y). T(x,K(y,y \ 1) * z) = T(x,z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,y * z) = T(x,y * (1 / (1 / z))). T(x,y * (1 / (1 / z))) = T(x,y * z). T(x,T(y,y \ 1) * z) = T(x,y * z). 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 \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). x * (y * (T(z,x) / y)) = (y * (z / y)) * x. x \ T(T(x,y) * y,z) = T(x * y,z) / x. x * (T(y * x,z) / x) = T(x * y,z). x * (y / x) = T(x * (y / x),K(y,z)). T(x * (y / x),K(y,z)) = x * (y / x). x * (y / x) = T(x * (y / x),K(z,y)). T(x * (y / x),K(z,y)) = x * (y / x). x * (K(y,y \ 1) * z) = (x * K(y,y \ 1)) * z. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). L(x,K(y,y \ 1),z) = x. x != (y * K(z,z \ 1)) * u | x = K(z,z \ 1) * (y * u). x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). L(x,y * (1 / y),z) = x. 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) * z) = K(y \ 1,y) * (x \ z). x \ K(y \ 1,y) = K(y \ 1,y) * (x \ 1). K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). 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 * ((1 / x) \ z)) = y * ((x \ 1) \ z). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). L(K(x \ 1,x),y,z) = K(x \ 1,x). (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * 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)). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y,z) = L(x,T(y,y \ 1),z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,y \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,K(y \ 1,y) * z,u) = L(x,z,u). (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. x != y \ T(y * z,u) | x = (y \ 1) * T((y \ 1) \ z,u). T(x * y,z) / y = (y \ 1) * T((y \ 1) \ x,z). (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. (x \ T(x * y,z)) * x = T(y * x,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. 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 \ T(y,z)) * x = T((x \ y) * x,z). ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). T(x,T(y * x,z)) = T(x,T(x * y,z)). T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. (x \ (y \ z)) * x = T((x \ (z / y)) * x,y). T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). x * ((y \ (x \ z)) * y) != u | ((y \ (z / x)) * y) * x = u. (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. x != ((y \ (z / u)) * y) * u | x = ((y \ (z * (u \ 1))) * y) / (u \ 1). x * ((y \ (x \ z)) * y) = ((y \ (z * (x \ 1))) * y) / (x \ 1). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). x != ((y \ (z / (u \ 1))) * y) * (u \ 1) | x = ((y \ (z * u)) * y) / u. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. ((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. x != ((y \ z) * y) / z | x = y \ (z / (z / y)). (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. T(x \ T(x * y,y),x) != z | R(y,x,y) = z. x * (y * (z / y)) = (y * (((x * z) / x) / y)) * x. (x * (((y * z) / y) / x)) * y = y * (x * (z / 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 / (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 / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). x != y \ (K(z \ 1,z) * u) | x = (K(z,z \ 1) * y) \ u. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). (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). 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(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 * 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 = 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). L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. x != L((y \ ((z \ 1) \ 1)) * y,z \ 1,z) | x = z * (y \ (z / (z / y))). (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ y) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | y = K(z \ x,z). x \ (y / (y / x)) = K(x \ y,x). x != y \ (z / (z / y)) | x = (1 / z) * ((y \ z) * y). K(x \ y,x) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = K(y \ x,y). x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,y \ 1). x / (x / (y \ 1)) = y \ K((y \ 1) \ x,y \ 1). x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * y) / ((x * y) / x) = x * K(y,x). (x * K(x \ y,x)) * (y / x) = y. (x * K(x \ y,x)) \ y = y / x. (x / y) * (y * K(y \ x,y)) = (y \ x) * y. x * y != (x * z) / ((x * z) / x) | y = T(x,z) \ x. K(x,y) = T(y,x) \ y. T(x,y) \ x = K(y,x). (T(x,y) \ 1) * T(x,x \ 1) = K(y,x). x \ T(x,y) = K(x,y). x * T(x \ 1,y) = K(x \ 1,y). x / T(x,y) = K(y,x). (1 / T(x,y)) * x = K(y,x). x * (T(x,y) \ 1) = K(y,x). x != T(y,z \ 1) \ y | x = K(y \ (y / z),y). K(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = K(y \ 1,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 * 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). T(x,y) * K(y,x) = x. L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x / K(y,x) = T(x,y). ((x \ y) \ y) * K(x \ y,x) = x. x \ K(y,x) != z | T(x,y) \ 1 = z. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). (x \ 1) * K(y,x) = T(x,y) \ 1. (K(x,y) / y) \ 1 = T(y,x). K(x,y) * ((y * x) / y) = x. x * (((y * x) / y) \ z) = K(x,y) * z. K(x,y) * (y * x) = x * y. x * (K(x,y) * z) = T(x,y) * z. (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. K(x,y) * (T(y,x) * z) = y * z. K(x / y,z) * x = y * T(y \ x,z). T(x,y) * (x \ z) = K(x,y) * z. T(x,y) = K(x,y) * x. K(x,y) * x = T(x,y). T(x,y) \ (x * z) = K(y,x) * z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x \ (K(y,x) * z) = T(x,y) \ z. x != y * (T(y,z) \ y) | x = (z * y) / z. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. x * y != z * (T(z,(u / w) / (w \ 1)) \ (u / w)) | (T(u,z) / w) / y = x. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). x * y != z * (T(z,u) \ u) | T(u,z) / y = x. T(x,y) / x = K(x,y). x * (T(x,y) \ 1) != z | K(y,x) = z. T(x,y) * (K(y,x) * z) = x * z. (x * y) / (K(z,x) * y) = T(x,z). K(x,y) * (y \ z) != u | T(y,x) \ z = u. T(K(x,y) * y,x) = y. K(x,y) * x != z | T(x,y) = z. T(x,y) \ (x * z) != u | u = K(y,x) * z. T(x,y) \ (x * z) != u | K(y,x) * z = u. T(x,y) * (K(y,x) * z) != u | u = x * z. T(x,y) * (K(y,x) * z) != u | x * z = u. T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. T(x,y) * z != x * u | z = K(y,x) * u. T(x,y) * z != x * u | K(y,x) * u = z. K(x \ y,x) * y = (x \ y) * x. K(x,x \ y) * ((x \ y) * x) = y. K(x,y / x) * y = x * (y / x). (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). T(x,y) \ z = K(x,y) \ (x \ z). K(x,y) \ (x \ z) = T(x,y) \ z. (T(x,y) * z) / (K(x,y) * z) = x. x \ (T(x,y) * z) = K(x,y) * z. 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 = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * y != T(x,z) * (x \ u) | y = ((z * x) / z) \ u. K(x,y) * (x \ z) = ((y * x) / y) \ z. ((x * y) / x) \ z = K(y,x) * (y \ z). x * y != T(x,z) * (u * x) | y = T(x,z) * T(u,x). K(x,y) * (z * x) = T(x,y) * T(z,x). T(x,y) * T(z,x) = K(x,y) * (z * 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 != T(x,x \ z) * z | y = x * (z / x). K(x,x \ y) * y = x * (y / x). x * y != T(x,x \ z) * (x \ z) | y = z / x. K(x,x \ y) * (x \ y) = y / x. (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). K(x,y) * (x * z) = T(x,y) * z. x * K(1 / y,y) != z * (u * K(1 / y,y)) | x = z * u. T(x,y) = x * K(x,y). x * K(x,y) = T(x,y). 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 * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). x * (y * K(x,y)) = T(x,y) * y. K(1 / x,y) / x = T(1 / x,y). T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). T(x,y) \ z = x \ (K(x,y) \ z). x \ (K(x,y) \ z) = T(x,y) \ z. T(x,y) \ K(x,y) = x \ 1. T(x,y) * (x \ 1) = K(x,y). x != T(y,z) * u | x = y * (K(y,z) * u). K(x,y) * (x * z) = x * (K(x,y) * z). K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,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)). K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). T(x,y) * R(T(z,x),u,w) = K(x,y) * (R(z,u,w) * x). K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. (x * y) / (T(x,z) * y) = K(z,x). K(x,y) \ (y * z) = T(y,x) * 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))). (x * y) / (T(x,z) * y) != u | u = K(z,x). (x * y) / (T(x,z) * y) != u | K(z,x) = u. K(x \ y,x) * (x * (y / x)) = y. T(x,x \ y) * z != x * (y / x) | z = x \ y. K(x \ y,x) * (y / x) = x \ y. T(x,y) * z != x * (K(x,y) * u) | z = u. K(x,y) * (K(y,x) * z) = z. x * y = ((x \ z) \ z) * (K(x \ z,x) * y). ((x \ y) \ y) * (K(x \ y,x) * z) = x * z. (x * y) / (K(z,x) * y) != u | u = T(x,z). (x * y) / (K(z,x) * y) != u | T(x,z) = u. K(x,y) * (y * z) = y * (K(x,y) * z). K(x,y) * z = y * (K(x,y) * (y \ z)). x * (K(y,x) * (x \ z)) = K(y,x) * z. x != K(y,z) * (z * y) | x = y * z. x * (K(y,x) * y) = y * x. R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. K(x,y) \ 1 = K(y,x). x / (K(y,z) * x) = K(z,y). 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 1. x * (y * K(z,y)) != K(z,y) | x = 1 / y. K(x,y) = 1 / K(y,x). 1 / K(x,y) = K(y,x). K(x,y) * z != K(u,x) * K(x,y) | z = K(u,x). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). K(x,y) * z != T(y,u) * K(x,y) | z = T(y,u). K(x,y) * (T(x,z) * K(y,x)) = T(x,z). K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). x * y != K(z,u) * (K(u,z) * w) | T(x,y) = y \ w. T(K(x,y),z) = z \ (K(y,x) \ z). x \ (K(y,z) \ x) = T(K(z,y),x). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. x != y * (K(z,u) * x) | K(u,z) = y. x * (K(y,z) * u) != u | K(z,y) = x. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. K(x,y) \ 1 != z | z = K(y,x). K(x,y) \ 1 != z | K(y,x) = z. T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. K(x,y) * z != 1 | z = K(y,x). K(x,y) * z != 1 | K(y,x) = z. x * (K(y,z) * K(z,y)) = x. x * (K(y,z) * K(z,y)) != u | u = x. K(x,y) * (z * x) = x * (K(x,y) * T(z,x)). x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(x,y) * z. x \ K(x,y) = K(x,y) * (x \ 1). K(x,y) * (x \ 1) = x \ K(x,y). 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 * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. T(x,y) != z | x * K(x,y) = z. x * y != T(z,u * K(w,w \ 1)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = x \ T(x,y). x * y != T(a(z,u,w),w \ L(w,u,z)) | x \ ((a(z,u,w) \ 1) \ 1) = y. a(x,y,z) \ ((a(x,y,z) \ 1) \ 1) = K(a(x,y,z),z \ L(z,y,x)). K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). x * y != T(z,z * (u \ 1)) | x \ T(z,u \ z) = y. x \ T(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = x \ T(x,y \ x). x * y != T(R(z,u,w),v5) | x \ R(T(z,v5),u,w) = y. R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). x * y != T(L(z,u,w),v5) | x \ L(T(z,v5),u,w) = y. L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). x * y != z * K(z,u) | x \ T(z,u) = y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). 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. (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). (1 / x) * T((1 / x) \ 1,y) = 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 \ 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,z) | x = (1 / y) * T(y,z). K(x,y) = (1 / x) * T(x,y). (1 / x) * T(x,y) = K(x,y). x != (1 / y) \ T(1 / y,z) | x = y * T(y \ 1,z). K(1 / x,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(1 / x,y). x * y != z \ T(z,u) | x \ K(z,u) = y. ((x * y) / x) \ K(x,y) = y \ 1. x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). (x * K(y,x)) * y = y * x. (x \ y) * K(x,x \ y) = y / x. T(x,y) * K(y,T(x,y)) = x. (x * K(y,x)) \ (y * x) = y. 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 / (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 * K(y,z))) * y) = a(x,z * K(y,z),y). ((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 != z | z = y * K(x,y). (x * y) / x != z | y * K(x,y) = z. (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)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. (x \ K(y,x \ 1)) * y = y * (x \ 1). x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. K(x,y) * (x * z) != u | T(x,y) * z = u. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. x \ T(x * y,y) = y * K(x * y,y). x != ((y \ 1) \ 1) * K(z,(y \ 1) \ 1) | x = (y \ 1) \ K(z,y). (x * ((y \ 1) \ 1)) / x = (y \ 1) \ K(x,y). (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. x * y != z * K(u,z) | x \ ((u * z) / u) = y. T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). x != (y * z) / y | x = T(y,z) * (y \ z). x * K(y,x) = T(y,x) * (y \ x). T(x,y) * (x \ y) = y * K(x,y). x != (y * z) / y | x = T(y,z) / (z \ y). x * K(y,x) = T(y,x) / (x \ y). T(x,y) / (y \ x) = y * K(x,y). x \ ((y * x) / y) != z | z = K(y,x). x \ ((y * x) / y) != z | K(y,x) = z. T(x * K(y,x),z) * y = y * T(x,z). T(x * K(y,x),y) != z | z = x. T(x,y) * K(y,T(x,y)) != z | z = x. R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). L(x * K(y,x),z,u) * y = y * L(x,z,u). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. (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. L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). T(x * K(y * x,x),y) = R(x,y,x). T(T(x * K(y,x),z),y) != u | T(x,z) = u. R(x * K(y,x),z,u) * y = y * R(x,z,u). (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(T(x * K(y,x),z),y) = T(x,z). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). (1 / x) * ((y * x) / y) = K(y,x). T(x,y * K(x,y)) = T(x,y). T(x * K(y,x),y * x) = L(x,y,x). K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. K(x,y / x) * (x \ y) = y / x. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. x * 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. T(x,y) \ x != z | K(y,x) = z. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). x != K(y,z) \ 1 | x = K(T(z,y),y). K(x,y) = K(T(x,y),y). K(T(x,y),y) = K(x,y). x != K(y,z) \ 1 | x = K(z,(z * y) / z). K(x,y) = K(x,(x * y) / x). K(x,(x * y) / x) = K(x,y). x != K(y \ z,y) \ 1 | x = K(y,z / y). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). x * K(y,x) = K(x,y) \ x. K(x,y) \ x = x * K(y,x). K(x,T(y,x)) != z | K(x,y) = z. x * T(y,z) != u * x | T(y * K(x,y),z) = u. (x * y) * R(z,x,y) = ((z * K(x * y,z)) * x) * y. ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). T(x \ K(y,x \ 1),y) = x \ 1. T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). x / T(x,y) = K(y * K(z,z \ 1),x). K(x * K(y,y \ 1),z) = z / T(z,x). L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. x * T(x \ 1,y) != z | K(x \ 1,y) = z. ((x * y) / x) / y != z | K(x,y) = z. (x * T(x \ y,z)) / y != u | K(y / x,z) = u. x \ T(x,y / (z * y)) != u | K(x,z \ 1) = u. x * y != T(T(z,u),K(w,z)) | T(z,u) / y = x. T(x,y) / (T(x,y) * K(z,x)) = K(x,z). x * y != T(z,K(u,z)) | z / y = x. x / (x * K(y,x)) = K(x,y). T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. x * y != T(z,u) * (z \ 1) | x \ K(z,u) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. T(K(x,y),z) * K(y,x) = K(K(x,y),z). L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). x * y != z \ ((u * z) / u) | x \ K(u,z) = y. x \ K(y,1 / x) = (y * (x \ 1)) / y. (x \ y) \ (y / x) = K(x,x \ y). x * K(y,x) != z | z = (y * x) / y. x * K(y,x) != z | (y * x) / y = z. ((x \ y) * x) * K(z,x) = ((z * x) / z) * T(((z * x) / z) \ (y * (x \ ((z * x) / z))),x). ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). (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. L(x,y,T(z,u)) = L(L(x,z * y,K(z,u)),y,z). L(L(x,y * z,K(y,u)),z,y) = L(x,z,T(y,u)). x * y != (z * u) * T((z * u) \ (z * w),v5) | (z * (u * T(u \ w,v5))) / y = x. (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). K((x * y) / x,z) * (x * y) = x * T(y,z). x * T(x \ y,z) != u * y | K(y / x,z) = u. K(x,y) * z = (x \ z) * T((x \ z) \ z,y). (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. x * (T(x,y) \ z) != u | u = K(x,y) \ z. x * (T(x,y) \ z) != u | K(x,y) \ z = u. K(x,y) * z != u | K(y,x) \ z = u. K(x,y) != z | K(y,x) \ 1 = z. K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). K(x,x \ (y * x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). x / ((y * x) / y) = K(x,y). K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). K(x,y) * (K(y,x) * z) != u | u = z. 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)). x \ (K(x,y) * z) != u | u = K(x,y) * (x \ z). x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. 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). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). x != y * T(y \ z,u) | x = T(z / y,u) * y. K(x \ 1,y) = T(1 / x,y) * x. T(1 / x,y) * x = K(x \ 1,y). x != L(y,z,u) * T(L(y,z,u) \ 1,w) | x = L(y * T(y \ 1,w),z,u). K(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). (x * y) * T((x * y) \ x,z) = x * 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 * T(y \ (x \ y),z)) = K(x \ 1,z) * y. K((x / y) \ 1,z) * y = x * T(x \ y,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * 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(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. K(x,y \ 1) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,z \ 1). K(x,y / (z * y)) != u | K(x,z \ 1) = u. x != K(y,z \ 1) | x = K(y,1 / z). K(x,y / (z * y)) = K(x,1 / z). K(x,(y \ z) / z) = K(x,y \ 1). K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,y / z) = K(x,1 / (z / y)). K(x,1 / (y / z)) = K(x,z / y). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). x * y != (z \ x) * T((z \ x) \ x,u) | T(K(z,u),x) = y. (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z. K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). x != T(y,z) * ((u * (T(y,z) \ 1)) / u) | x = T(y * ((u * (y \ 1)) / u),z). K(x,T(y,z) \ 1) = T(y * ((x * (y \ 1)) / x),z). T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * K(u,L(z,y,x) \ 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. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). x != y * ((z * (y \ u)) / z) | x = u * K(z,(u \ y) \ 1). K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (x * K(y,z \ 1)) * y = (x * z) * (y * (L(z \ y,z,x) / y)). (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. x * T(y,z \ 1) = (x * K(y,z \ 1)) * y. (x * K(y,z \ 1)) * y = x * T(y,z \ 1). (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). (x * K(y,z)) * y = x * T(y,z). x * T(y * K(x,z),x) = y * T(x,z). T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). (x * K(y,y \ z)) * y = x * ((y \ z) \ z). (x * T(y,z)) / y = x * K(y,z). x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / 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). (x * K(y,z)) \ (x * T(y,z)) != u | u = y. L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). (x / y) \ (x * K(y,z)) = T(y,z). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). (x * y) \ (x * T(y,z)) = K(y,z). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). (x / y) * T(y,z) != u | x * K(y,z) = u. x * T(x \ y,z) != u | y * K(x \ y,z) = u. ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. 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)). x * T(y / x,T(x,z)) = T(y,K(x,z)). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). x \ T(x * y,z) = y * K((x \ 1) \ y,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 * (y * T(y \ (x \ z),u)) = z * K((x * y) \ z,u). x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K(y \ x,z). x != y * T(y \ z,u) | x = K(z / y,u) * z. x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,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 != (z / u) * T((z / u) \ w,z) | x \ (((z \ (w * u)) * z) / u) = y. x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). (x / y) * z != x * T(x \ (x / y),u) | z = y * T(y \ 1,u). K(x \ (x / y),z) = y * T(y \ 1,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 \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). 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 \ 1) \ 1,y) != z | z = K(x,y). K((x \ 1) \ 1,y) != z | K(x,y) = z. K(T(x,y),z) = T(K(x,z),x * y). T(K(x,y),x * z) = K(T(x,z),y). K(x \ 1,y) != z | K(1 / x,y) = z. T(K(x,y),x) != z | K(x,y) = z. K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. 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 * 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). x != K(y,R(z / u,u,w) \ 1) | x = K(y,(u * w) / (z * w)). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). K(x,y * (z \ 1)) = R(K(x,y / z),y,z \ 1). R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). 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). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(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) | x = K(y,(u / z) \ 1). R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). 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 * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). x != y * (z * T(z \ (y \ 1),u)) | x = K((y * z) \ 1,u). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). x \ (y * (z * T(z \ (y \ x),u))) != w | w = K((y * z) \ x,u). x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. 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). (1 / x) * K(x \ 1,y) != z | T(1 / x,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). T(x * K(x * y,x),y) = R(x,y,x). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x * K(y,x),z) = T((y * x) / y,z). T((x * y) / x,z) = T(y * K(x,y),z). T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). x * K(y,y \ z) = (x / y) * ((y \ z) \ z). (x / y) * ((y \ z) \ z) = x * K(y,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) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). (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. 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)). K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). R(K(x,y),z,u) = 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(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). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. x * y != R(z,u,w) \ ((z * u) * w) | (u * w) / y = x. (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). T(K(x,y),z) = K(x,T(y \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). T(K(x,1 / y),z) = K(x,T(y,z) \ 1). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. K(x,R(T(K(x,y),z),u,w)) = 1. x / (y * T(y \ x,z)) = K(z,x / y). (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 * y) \ (x * ((y * z) * ((u * ((y * z) \ y)) / u))) = K(u,L(z,y,x) \ 1). (x * y) \ (x * (y * K(z,u \ 1))) = K(z,L(u,y,x) \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 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). L(x,K(x,y),z) = x. T(x,y) = L(T(x,y),K(x,z),u). L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). 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. R(x,y,K(y,z)) = x. (x * y) * z != x * T(y,u) | z = K(y,u). L(K(x,y),x,z) = K(x,y). x != K(y,z) | x = K(z,y) \ 1. L(K(x,y),x,z) = K(y,x) \ 1. (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). x != (1 / y) * T((1 / y) \ (z / y),u) | x = T(z,u) / y. K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). x * y != (1 / z) * T((1 / z) \ (u / z),w) | (T(u,w) / z) / y = x. (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). x * y != (z * u) * T((z * u) \ w,v5) | (z * (u * T(u \ (z \ w),v5))) / y = x. (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | x \ (z \ T(u,w)) = y. K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. x * y != z * T(z \ y,u) | x = K(y / z,u). K((x / y) \ 1,z) = K(y / x,z). x != K(y \ 1,z) | x = K(1 / y,z). K(x / y,z) = K(1 / (y / x),z). K(1 / (x / y),z) = K(y / x,z). K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). K((x / (y * x)) \ 1,z) = K(y,z). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). x != y / T(y,z) | x = K(z,y). K(x * K(y,y \ 1),z) = K(x,z). K(x * K(y,y \ 1),z) != u | K(x,z) = u. K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. K(1 / x,y) != z | K(x \ 1,y) = z. K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. K((1 / x) \ y,z) = K((x \ 1) \ y,z). 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,x) * K(x,y). K(x * y,x) * K(x,y) = x \ R(x,y,x). x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. 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. 1 / L(K(x,y),z,u) = 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 = 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) / (T(x,z) \ y) = K(x,z). (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). K(x / y,(x / y) / z) = K(x / y,x / (z * y)). x != R(K(y,(z / u) / (w * y)),z / u,u) | x = ((w * (y * ((w \ (z / u)) / y))) * u) / z. K(x,y / ((z * x) * u)) = ((z * (x * ((z \ (y / u)) / x))) * u) / y. ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). ((x * y) * (z * (((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))). 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). T(K(x,y),z) = K(T(x \ 1,z) \ 1,y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). 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). 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). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(y,z),u) \ 1). R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). K(x,y) * T(K(y,x),z) = K(z,K(x,y)). K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. K(x,y) * K(z,K(y,x)) = T(K(x,y),z). x != K(y,z) * T(K(z,y),u) | x = (z * y) \ (y * (z * T(K(z,y),u))). K(x,K(y,z)) = (z * y) \ (y * (z * T(K(z,y),x))). (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). x * y != T(x,z) | y = K(x,z). K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). K(x,K(y,z)) = K(x,K(z,y)) \ 1. K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) * K(z,y) = T(K(z,y),x). x * K(K(y,z),x) = T(x,K(z,y)). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. K(K(x,y),z) != u | K(z,K(y,x)) = u. T(T(x,K(y,z)),K(z,y)) = x. x != (y \ z) * K(y,y \ z) | x = z / y. T(K(x,y) \ z,K(y,x)) = z / K(x,y). 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(K(x,y),K(x,z)) != u | u = K(x,y). T(K(x,y),K(x,z)) != u | K(x,y) = u. T(K(x,y),K(x,z)) = K(x,y). T(K(x,y),K(z,y)) = K(x,y). T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. K(x,K(y,z)) != u | K(K(z,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(z,y) = K(z,y) * K(x,y). 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. L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. K(x,y) * z != u | y * (T(y,x) \ z) = u. x != T(y,z) \ u | x = K(y,z) \ (y \ u). x \ 1 = K(x,y) \ (x \ K(x,y)). K(x,y) \ (x \ K(x,y)) = x \ 1. K(x,y) * (y \ K(y,x)) = y \ 1. x * y != K(z,u) \ (z \ K(z,u)) | (z \ 1) / y = x. (x \ 1) / (x \ K(x,y)) = K(y,x). x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). 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). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. T(K(x / y,z),x) = K((x \ y) \ 1,z). x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z. x * K((x \ (y * z)) \ 1,y) = ((y \ (x / z)) * y) * z. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). x * y != (z * u) * T((z * u) \ w,v5) | x \ (z * (u * T(u \ (z \ w),v5))) = y. x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). x * y != z * T(z \ x,u) | y = K(z \ x,u). K((x \ y) \ 1,z) = K(y \ x,z). T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). K(((x * y) \ x) \ 1,z) = K(y,z). K(x \ 1,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(y \ 1,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(x \ y,z) \ 1 = K(z,(y \ x) \ 1). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. x != K((y \ z) \ 1,u) | x = K(z \ y,u). K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). K(x,y \ z) = K(x,1 / (z \ y)). K(x,1 / (y \ z)) = K(x,z \ y). K(x,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,((y * 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 \ 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). T(x \ y,K(z,y \ x)) = x \ y. K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,(y / z) \ 1) * z = z * K(x,y \ z). R(K(x,y \ z),u,w) = K(x,R(z \ y,u,w) \ 1). K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). K(x,y / z) * y = y * K(x,z \ y). x * y != x * K(z,u \ x) | T(K(z,x / u),x) = y. T(K(x,y / z),y) = K(x,z \ y). x * y != y * K(y,z) | x = K(y,z). K(x,x / y) = K(x,y \ x). x != K(y,z \ u) | x = K(y,(u \ z) \ 1). T(K(x,y / z),y) = K(x,(y \ z) \ 1). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). K(x,y \ 1) != z | z = K(x,1 / y). K(x,y \ 1) != z | K(x,1 / y) = z. T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. K(x,K(y,x / z)) * K(y,z \ x) = K(y,x / z). x != T(K(y,z),y) | x = K(y,z). K(x,(y \ x) \ x) = K(x,y). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,(y \ 1) \ 1) != z | z = K(x,y). K(x,(y \ 1) \ 1) != z | K(x,y) = z. K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). K(x,T(y,z / y)) = T(K(x,y),z). K(x \ y,x) = T(K(x \ y,x),y). T(K(x \ y,x),y) = K(x \ y,x). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). x != K(y,T(z,u)) | x = T(K(y,z),u * z). T(K(x,y),y * z) = T(K(x,y),z * y). T(K(x,y),z * y) = T(K(x,y),y * z). K(x * y,T(x,y)) = K(x * y,x). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). K(x * y,K(y,z)) = K(K(z,y),y * x). K(K(x,y),y * z) = K(z * y,K(y,x)). K(x * y,K(x,z)) = K(y * x,K(x,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). x != K(L(y \ z,y,u) \ 1,w) | x = K((u * z) \ (u * y),w). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | 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 != K(y,z) | x = K((y \ 1) \ 1,z). L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). K(x,y) = K(x,x / (x / y)). K(x,x / (x / y)) = K(x,y). x != L(K(y,z),u,w) \ 1 | x = L(K(z,y),u,w). K(x,L(y,z / y,u)) = L(K(x,y),z,u). K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). (x * y) * K(z,L(u,y / u,x)) = x * (y * K(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)). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. 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) / x) \ (y * z) = K(y,x) * z. (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. (x / (x / y)) \ z = K(y,y \ x) * (y \ z). (x * K(y,x)) \ z = K(x,y) * (x \ z). ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). x * ((x * K(y,x)) \ z) = K(x,y) * z. x \ (K(x,y) * z) = (x * K(y,x)) \ z. (x * K(y,x)) \ z = x \ (K(x,y) * z). x * y != K(z,u) * u | x \ (u * K(z,u)) = y. x \ (y * K(x,y)) = (x * K(y,x)) \ y. (x * K(y,x)) \ y = x \ (y * K(x,y)). x \ K(x,y) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ K(x,y). (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. T((x / y) * K(y,z),y) != u | y \ (x * K(y,z)) = u. x * y != K(z,u) | x \ K(T(z,u),u) = y. T(x,y) \ K(T(x,y),y) = x \ 1. K(x \ (y * x),x) = K(y,x). K((x \ y) \ y,x \ y) = K(x,x \ y). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). x != K(y / z,u) | x = K((z / y) \ 1,u). K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,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. ((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 \ y) \ y) * K(y / x,x) = x. 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). K(x * y,(x * y) \ y) = K(x * y,x \ 1). x != K(y,(z \ y) / y) | x = K(y,z \ 1). K(x,x \ (y \ x)) = K(x,y \ 1). x * K(y,y \ x) = y * (x / y). (x \ y) * K(x,y / x) = y / x. (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). x * K(y * x,(y * x) \ x) = (y * x) * R(1 / y,y,x). (x * y) * R(1 / x,x,y) = y * K(x * y,(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). T(x,x * y) * K(y,x) = L(x,y,x). x * y != K(z,u) * T(u,u * z) | x \ L(u,z,u) = y. T(x,x * y) \ L(x,y,x) = K(y,x). x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(y,x) * K(x,x * y). K(x,y) * K(y,y * x) = y \ L(y,x,y). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). 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),y,u) | x = K(y,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). x != (y * z) / y | x = z * K(y,z). L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). x * y != L(z,u,w) * K(v5,L(z,u,w)) | L(z * K(v5,z),u,w) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). x != K((y \ 1) \ 1,z) | x = K(y,z). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). x * y != T(z,u) * K(u,z) | x \ z = y. T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. T(1 / x,y) * K(y,x \ 1) = 1 / x. T(x,y) * T((x / K(y,x)) \ z,x) = ((x \ (z * K(y,x))) * x) / K(y,x). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). x != 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,z) \ z | x = 1 / (z \ K(y,z)). T(x,y) = 1 / (x \ K(y,x)). 1 / (x \ K(y,x)) = T(x,y). K(x \ y,z) \ z = T(z,(y \ x) \ 1). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. T(T(x,x * y) * y,x) = x * y. x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). R(x,y,1 / z) = R(x,y,z \ 1). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). (1 / x) * x = K(x \ R(x,y,z),x). K(x \ R(x,y,z),x) = (1 / x) * x. T((x * y) / x,z) \ T(y,z) = K(T(y,z),x). x * (K(y,z) / z) = x * (1 / T(z,y)). L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. 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). x * y != (z * ((u * w) / u)) / z | ((u * ((z * w) / z)) / u) / y = x. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). x * y != ((z * u) * u) / (z * u) | (z \ T(z * u,u)) / y = x. (x \ T(x * y,y)) / y = K(x * y,y). K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). x / (y / (y / x)) = K(x,x \ y). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). x * y != z / ((u * z) / u) | K(z,u) / y = x. K(x,y) / x = 1 / ((y * x) / y). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. T(K(x,y),K(z,x)) != u | u = K(x,y). T(K(x,y),K(z,x)) != u | K(x,y) = u. x * (y * K((x \ 1) \ y,z)) = T(x * y,z). (x * K((y \ 1) \ x,z)) * y = T(x * y,z). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). 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). x != K((y / z) \ 1,u) | x = K(z / y,u). R(K(x,y),z,u) = K((z * u) / ((x \ z) * u),y). 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. R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x,y),K(x,z) * u,w) = K(R(x,K(x,z) * (x \ u),w),y). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = ((z \ (u * y)) * z) / y. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. x != L(K(y,(z \ u) \ w),w,z) | x = K(y,u \ (z * w)). K(x \ (y * z),(y \ u) \ z) = K((y \ x) \ z,u \ (y * z)). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). x * y != z \ T(z * x,u) | y = K((z \ 1) \ x,u). K(x * y,y) = K((x \ 1) \ y,y). K((x \ 1) \ y,y) = K(x * y,y). K((1 / x) \ y,y) = K(x * y,y). K(x \ y,y) = K((1 / x) * y,y). K((1 / x) * y,y) = K(x \ y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). L(x,y,K(z,y)) = x. L(x,T(y,z),K(u,y)) = x. a(K(x,y),y,z) = 1. (x * K(y,x)) * z = K(y,x) * (x * z). x != K(y,z) * (z * u) | x = z * (K(y,z) * u). (x * K(y,x)) * z = x * (K(y,x) * z). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. (x / (x / y)) * z = K(y \ x,y) * (y * z). K(x \ y,x) * (x * z) = (y / (y / x)) * z. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. x != y * (K(z,y) * K(y,u)) | x = T(y,u) * K(z,y). (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). L(x,K(y,z),z) = x. R(x,K(y,x),z) = x. (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). (x / (x / y)) * z = y * (K(y \ x,y) * z). ((x * y) / x) * z = y * (K(x,y) * z). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. K(x,x \ y) * z = (y / x) * ((x \ y) \ z). (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. x \ ((y / (y / x)) * z) = K(y / x,(y / x) \ y) * z. K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). (x \ y) \ z = K(x,x \ y) * ((y / x) \ z). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. x * y != (z \ u) * (K(z,z \ u) * w) | x \ ((u / z) * w) = y. K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). (x \ y) * z = (y / x) * (K(x \ y,x) * z). (x / y) * (K(y \ x,y) * z) = (y \ x) * z. (x * K(y,x)) \ L(x,y,x) = K(x,x * y). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). x != T(y,z) \ z | x = y \ T(z,y). K(x,y) * (y \ x) = y \ T(x,y). 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. R(K(x / (y / z),u),x,z) = K((x * z) / y,u). K((x * y) / z,x) = K(x / (z / y),x). x != K(y / z,y) | x = K(z \ y,y). K((x * y) / z,x) = K((z / y) \ x,x). K(x * y,x) = K((1 / y) \ x,x). K((1 / x) \ y,y) = K(y * x,y). x != K((1 / y) \ z,z) | x = K(y * z,z). K(x * y,x) = K(y * x,x). K(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(x * y,x),y * x) = x. T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). x != ((y * z) * L(z,u,w)) / (y * L(z,u,w)) | x = z * K(y * L(z,u,w),z). R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). x != (y * z) / y | x = K(y,z) * z. T(x * K(y,x),z) = K(y,T(x,z)) * T(x,z). K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). x * y != z * (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(y \ x,z) != u * x | K(x / y,z) = u. K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). (x / (y \ z)) * K(z / y,y) = x / (z / y). (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). K(x * K(y \ 1,y),z) = K(x,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(K(x,x \ 1) * y,z) = K(y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(x \ ((y \ 1) \ 1),z) = K(x \ y,z). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (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)). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | 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). x * y != (1 / z) * (K(z,u) * w) | (K(z,u) * ((1 / z) * w)) / y = x. (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. (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) * (z * K(x,u)) = K(x,u) * (K(x,y) * T(z,K(x,u))). K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). K(x,y) * z = K(x,z) * (K(x,y) * T(z,x)). K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. 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). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x,T(y,z) \ 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. K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). K(x,(y \ 1) \ x) = K(x,y * x). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). L(K(x,y),x,z) != u | K(x,y) = u. R(x,y,z) = R(x,y,(z \ 1) \ 1). R(x,y,(z \ 1) \ 1) = R(x,y,z). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. T(K(x,y / z),y) != u | K(x,z \ y) = u. K(x,1 / y) != z | K(x,y \ 1) = z. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. T(x,x \ y) / (y \ x) = x * (y / x). T(x,x \ (y * x)) / ((y * x) \ x) = x * y. T(x,y / x) / (y \ x) = x * (y / x). T(x,T(y,x)) / ((y * x) \ x) = x * y. T(x,y) / ((y * x) \ x) = x * y. (x * y) * ((y * x) \ x) = T(x,y). (x * y) \ T(x,y) = (y * x) \ x. x != K(y,z) \ z | x = T(z,y). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,((y * z) \ y) \ 1) = T(x,z). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,(y \ 1) \ 1) = T(x,R(z,y,y \ 1) \ (z * y)). T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). x / T(y * x,T(y,x) \ 1) = (y * x) \ x. ((x * y) \ x) \ x = T(x * y,y \ 1). T(x * y,y \ 1) = ((x * y) \ x) \ x. ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). x / T(x * y,y \ 1) = (x * y) \ x. T(x,L(y \ 1,y,z)) = T(x,y \ 1). T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). 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). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). 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). (x * (K(y * z,x) * y)) * z = (y * z) * R(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 \ z)) * K(y \ z,y) = x / (z / y). x != y \ T(y,z) | x = K(y,z). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * K(z,z \ 1)) = K(x,y). K(x,y * K(z,1 / z)) = K(x,y). K(x,y * K(z \ 1,z)) = K(x,y). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,y * T(z,z \ 1)) = K(x,y * z). K(x,y / (1 / (1 / z))) = K(x,y / z). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,K(y,y \ 1) * z) = K(x,z). K(x,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,(1 / y) * z) = K(x,(y \ 1) * z). K(x,T(y,y \ 1) * z) = K(x,y * z). K(x,y * (z * K(u,u \ 1))) = K(x,y * z). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,(1 / y) / z) = K(x,(y \ 1) / z). x != K(y,y * (z \ 1)) | x = K(y,z \ y). K(x,x * y) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,x * y). x != K(y,(z \ 1) \ y) | x = K(y,z * y). K(x,x * y) = K(x,y * x). K(x,y * x) = K(x,x * y). K(x,y \ x) = K(x,x * (1 / y)). K(x,x * (1 / y)) = K(x,y \ x). K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). K(x,y) * K(y,x * y) = y \ L(y,x,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 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = 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)) = L(x,y,z). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. 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. 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). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). x * y = K(x,z) * (((z * x) / z) * y). K(x,y) * (((y * x) / y) * z) = x * z. K(x \ y,x) * ((y / x) * z) = (x \ y) * z. x \ T(y,K(x,z)) = T(y / x,T(x,z)). L(x,K(x,y),z) != u | u = x. K(x \ y,x) * z = (y / (y / x)) * (x \ z). (x / (x / y)) * (y \ z) = K(y \ x,y) * z. x \ ((y / (y / x)) * z) != u * z | u = K(x \ y,x). x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. K(x \ y,x) = K(y / x,(y / x) \ y). K(x / y,(x / y) \ x) = K(y \ x,y). x != K(y,y \ z) | x = K(y,z / y). K(x \ y,x) = K(y / x,y / (y / x)). K(x / y,x / (x / y)) = K(y \ x,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)) * K(z \ y,z) = x * (z \ y). K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. 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). (x / (x / y)) * x = y * ((y \ x) * y). x != K(y,z \ 1) | x = K(y,u / (z * u)). K(x,y \ (y / z)) = K(x,u / (z * u)). K(x,y \ (y / z)) = K(x,1 / z). K(x,(y * z) \ y) = K(x,1 / z). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). (x / y) * K(x,1 / y) = x * ((x / y) / x). 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)). K(L(x \ 1,x,y),z) = K(x \ 1,z). 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. L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). (x * K(y,z)) \ (x * y) = y * K(z,y). (x * y) / (y * K(z,y)) = x * K(y,z). x / (y * K(z,y)) = (x / y) * K(y,z). x / ((y * z) / y) = (x / z) * K(z,y). K(x,y) * z = ((x * y) / x) * (y \ z). ((x * y) / x) * (y \ z) = K(x,y) * z. ((x * y) / x) * (x * z) = y * (T(x,y) * z). 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). (x * (T(y,x) * z)) \ ((y * x) * z) = a((y * x) / y,y,z). a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). x != (y * (T(z,y) * u)) \ ((z * y) * u) | x = a(y,T(z,y),u). a((x * y) / x,x,z) = a(y,T(x,y),z). 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 * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. (x * y) / ((z * y) / z) = x * K(y,z). K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). x \ y != K(x,z) * u | T(x,z) \ y = u. x != K(y,z) * R(y,u,w) | x = R(y,u,w) * K(y,z). T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. 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((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. T(K(x,y),z) != u | K((x \ z) \ z,y) = u. K(x / y,x) != z | K(y \ x,x) = z. K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). x * L(y,z,u) != L(T(y,w),z,u) | x = K(L(y,z,u),w). K(x,x \ 1) = K(L(x,y,z),x \ 1). K(L(x,y,z),x \ 1) = K(x,x \ 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). L(x,y,z) / x = x \ L(x,y,z). x * ((y \ L(y,z,u)) * y) != L(y,z,u) | 1 = x. 1 = K(x,x \ L(x,y,z)). K(x,x \ L(x,y,z)) = 1. x * (y \ 1) != L(y \ 1,z,u) | x = y * L(y \ 1,z,u). (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). x != L(y,z,u) / y | x = (1 / y) * L(y,z,u). x \ L(x,y,z) = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = x \ L(x,y,z). (x \ L(x,y,z)) * x != u | u = L(x,y,z). (x \ L(x,y,z)) * x != u | L(x,y,z) = u. K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). x != K(y,(z \ u) \ y) | x = K(y,u \ (z * y)). K(x,(x / L(y,z,u)) * y) = K(x,L(y,z,u) \ (y * x)). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). K(x \ 1,x) = K(x \ 1,L(x,y,z)). K(x \ 1,L(x,y,z)) = K(x \ 1,x). x != L(K(y \ 1,z),u,w) | x = K(L(y,u,w) \ 1,z). K(x \ 1,x) = K(L(x,y,z) \ 1,x). K(L(x,y,z) \ 1,x) = K(x \ 1,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). K(x,T(y,L(y,z,u) \ 1)) = K(x,y). K(x \ y,z \ (x \ y)) = K(x \ y,(x * z) \ y). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). L(K(x,y),z \ u,z) = K(x,(z * ((z \ u) / y)) \ u). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). 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 * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. x != K(y / z,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,(1 / (1 / y)) * z) = K(x,y * z). 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). K(x,y) * K(x,z) = T(x,z) * (x \ K(x,y)). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). ((x * 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)). x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). x != K(y,z) | x = L(K(y,z),y,u). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(L(z,y,x),u),L(z,y,x),w). L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = K(x,z). K(L(x,x \ 1,y),z) = K(x,z). (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 * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). x * y != K(z \ u,z) * T(w,z \ u) | x \ ((u / z) \ (w * (z \ u))) = y. x \ ((y / x) \ (z * (x \ y))) = T(x,x \ y) \ T(z,x \ y). T(x,x \ y) \ T(z,x \ y) = x \ ((y / x) \ (z * (x \ y))). K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x,y) * T(x,z) = (u / (K(x,z) * T(x,y))) \ u. (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). 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. 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). 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). T(K(x,1 / y),z) = K(x,1 / T(y,z)). T(K(x,y),z) = K(x,1 / T(1 / y,z)). K(x,1 / T(1 / y,z)) = T(K(x,y),z). R(x,y,z) * T(u,u * x) = K(u,u * x) * (R(x,y,z) * u). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). x / (y * T(y \ x,z)) != u | K(z,x / y) = u. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. L(K(x,x \ 1),y,z) = K(x,x \ 1). (x * y) * z != x * (y * K(u,w \ 1)) | z = K(u,L(w,y,x) \ 1). K(x,x \ 1) = K(x,L(x,y,z) \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). (x * y) * z != x * (y * K(u,u \ 1)) | z = K(L(u,y,x),L(u,y,x) \ 1). K(x,x \ 1) = K(L(x,y,z),L(x,y,z) \ 1). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). x * y != K(L(z,u,w),L(z,u,w) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). K((x \ 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 != K(T(y \ 1,z) \ 1,u) | x = T(K(y,u),z). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). K(x,y \ 1) / y = (1 / y) * K(x,y \ 1). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. (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). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. T(x,x \ K(x,y)) = (x \ 1) \ 1. T(x,y \ K(y,z)) = T(x,z / (z * y)). (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). 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). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). x * K(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). x != y * K(y,z) | x = T(y,z). 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,x \ y) * (x \ y) != z | z = y / x. K(x,x \ y) * (x \ y) != z | y / x = z. K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). K(x,(y / z) \ 1) != u | u = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (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). (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. T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). T(x,K(y,y \ x)) = x. T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(x * K(T(x,y) \ z,x),y) \ z = z / T(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 \ (x / z)) * y) * z) = K(y,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). K((x \ y) \ z,y) = K((y / x) \ z,y). K((x / y) \ z,x) = K((y \ x) \ z,x). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K((x * (y \ z)) \ u,z) = K((x * (z / y)) \ u,z). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). K((x * y) \ z,y * x) = K((y * x) \ z,y * x). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). 1 / (x \ K(x,y)) = x * K(y,x). T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). x != y | x = L(y,z,K(u,z)). L(x,K(y,z),z) = L(x,u,K(w,u)). (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. ((x * y) / x) * z != u | y * (K(x,y) * z) = u. 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(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). T(x * K(y * x,x),y) != z | R(x,y,x) = z. x != (y * z) * ((y * ((y * z) \ u)) / y) | x = (y * ((u / z) / y)) * z. x * K(y,(y * z) \ x) = (y * ((x / z) / y)) * z. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. 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 * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). 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). 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. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). ((x \ 1) \ y) \ z = (((1 / x) \ y) \ z) * K(x \ 1,x). (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). 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)). R(x,T(K(y,z),u),T(K(z,y),u)) = (x * T(K(y,z),u)) * T(K(z,y),u). (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. K(x,y) * (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). 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). T(K(x,y),T(x,z)) != u | K(x,y) = u. x / T(y,(1 / y) * x) = y \ x. T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). T(x,(y \ 1) * z) = T(x,L(y \ z,y,y \ 1)). T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). 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). L(x,1 / y,(z \ u) \ u) = L(x,y \ 1,T(z,z \ u)). L(x,y \ 1,T(z,z \ u)) = L(x,1 / y,(z \ u) \ u). (x / y) * K(y \ 1,x) = (x \ (x / y)) * x. (x \ (x / y)) * x = (x / y) * K(y \ 1,x). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). (x \ 1) * K(x,y) = x \ K(x,y). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (x \ K(x,y)) * x = (x \ 1) * T(x,y). K(x,1 / y) / y = (x * (1 / y)) / x. (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). 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 * ((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))). K(1 / T(x,y),z) = T(K(1 / x,z),y). T(K(1 / x,y),z) = K(1 / T(x,z),y). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. x != (y \ K(y,z)) * y | x = (y \ 1) * T(y,z). K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). (x \ 1) * y != K(x \ R(x,z,u),x) | y = T(x,R(x \ 1,w,v5)). T(x,R(x,y,z) \ 1) = T(x,R(x \ 1,u,w)). T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). T(x,x \ 1) = T(x,R(x,y,z) \ 1). T(x,R(x,y,z) \ 1) = T(x,x \ 1). (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. R(x,y,z) \ x = (R(x,y,z) \ 1) * ((x \ 1) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. x != (R(y,z,u) \ 1) * ((y \ 1) \ 1) | x = (1 / R(y,z,u)) * y. R(x,y,z) \ x = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = R(x,y,z) \ x. x / R(x,y,z) = R(x,y,z) \ x. x * y != R(x,z,u) \ x | T(1 / R(x,z,u),x) = y. T(1 / R(x,y,z),x) = R(x,y,z) \ 1. (R(x,y,z) \ x) * R(x,y,z) = x. R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). K(x,x \ 1) * y = z * (K(x,x \ 1) * (z \ y)). x * (K(y,y \ 1) * (x \ z)) = K(y,y \ 1) * 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) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). x != 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). x != T(y,z) | x = y * K(y,z). T(x,y * (1 / z)) = x * K(x,y * (z \ 1)). x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T(x,y) \ T(x,z) = K(x,z) * K(y,x). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. x \ K((x * (y \ 1)) \ 1,z) = y \ T(y * (x \ 1),z). x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). (1 / x) * (y \ T(y * x,z)) = K(((1 / x) * (y \ 1)) \ 1,z). K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). x * y != (z * K(u,w)) * (w \ 1) | x \ (z * (T(w,u) \ 1)) = y. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). 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,u) | x = L(y,1 / z,u). K(x,y) = L(K(x,y),1 / y,z). L(K(x,y),1 / y,z) = K(x,y). x != (y * z) / ((u * z) / u) | x = (y / ((u * z) / u)) * z. x * K(y,z) = (x / ((z * y) / z)) * y. (x / ((y * z) / y)) * z = x * K(z,y). (x / (y / (y / z))) * z = x * K(z,z \ y). (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). 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(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). K((1 / (1 / x)) * y,z) = K(x * y,z). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(x \ (y \ 1),z) = K(x \ (1 / y),z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K((x \ y) \ z,u) = K((((x \ 1) \ 1) \ y) \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K((x * (1 / y)) \ z,u) = K((x * (y \ 1)) \ z,u). K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. 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). 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 * K((x \ (y * z)) \ 1,y) != u | ((y \ (x / z)) * y) * z = u. (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y \ (x \ 1)) = K(x,z / (x / ((y * z) \ 1))). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). K(x,y / (x * (z * y))) = 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)). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). 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. 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(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 != T(y,z) / (z \ y) | x = (y * z) / y. (x \ y) \ T((x \ y) * x,x) = (y * x) / y. x != y \ T(y * z,u) | x = z * K((y \ 1) \ z,u). T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. 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. x / (y / (y / z)) = (x / z) * K(z,y / z). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,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 \ 1) \ 1) = a(x,y,z). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,(z \ 1) \ u) = a(x,y,(1 / z) \ u). a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. x != (1 / y) * K((((y \ 1) \ z) \ 1) \ (y \ 1),u) | x = T(z,u) / ((1 / y) \ z). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) / x = T(y,z) / ((1 / x) \ y). T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). x != T(y,z) \ T(y * K(u,y),z) | x = K(u,T(y,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). x * a(x,y \ 1,y) = R(x,y \ 1,y). 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. K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). 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). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). x != K(y,((1 / z) * u) \ 1) | x = L(K(y,u \ z),z,z \ 1). K(x,((y \ 1) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). L(K(x,y),z,z \ 1) = K(x,((z \ 1) * (z / y)) \ 1). K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). (((x \ y) * z) \ z) \ z = T((x \ y) * z,y \ x). T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. L(x,y,z) * T(u,u * x) = K(u,u * x) * (L(x,y,z) * u). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). ((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). (((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. x * K(T(y,z) \ x,y) = (y \ x) * y. K(T(x,y) \ z,x) = K(x \ z,x). 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 * K(x \ y,x),z) \ y = y / T(x,z). T(x / (x / y),z) \ x = x / T(y,z). L(x,x \ y,x) \ y = y / T(x,y). x / (x / T(y,z)) = T(x / (x / y),z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. T(x,y) \ z = z / T((x \ z) \ z,y). x / T((y \ x) \ x,z) = T(y,z) \ x. (T(x / y,z) \ x) \ x = T(y \ x,z). (T(x,y) \ z) \ z = T((x \ z) \ z,y). ((x \ y) \ z) \ z = T(((y / x) \ z) \ z,x). T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. x * (((x \ y) \ z) \ z) = (((y / x) \ z) \ z) * x. (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). ((x \ y) \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). (x \ y) * ((((x \ y) \ y) \ z) \ z) = T(x,x \ z) * (x \ y). T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). x * (y \ z) != (y \ z) * ((((y \ z) \ z) \ u) \ u) | x = T(y,((y \ z) \ z) \ u). T(x,x \ y) = T(x,((x \ z) \ z) \ y). T(x,((x \ y) \ y) \ z) = T(x,x \ z). T(x,T(x,y) \ z) = T(x,x \ z). T(x,y) = T(x,x \ (T(x,z) * y)). T(x,x \ (T(x,y) * z)) = T(x,z). T(x,K(x,y) * z) = T(x,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. T(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = T(x,z). T(x,T(y,x) \ z) = T(x,y \ z). T(x \ y,(y / x) \ z) = T(x \ y,(x \ y) \ 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. K(x,y) = K(x,K(x,z) \ y). K(x,K(x,y) \ z) = K(x,z). K(x,T(x,y) * z) = K(x,x * z). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. K(x,K(y,x) \ z) = K(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 != K(x,u) * y | z = K(x,u) * T(y,x). T(K(x,y) * z,x) = K(x,y) * T(z,x). K(x,y) * T(z,x) = T(K(x,y) * z,x). 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) = T(x,z) * K(y,z). T(x,y) * K(z,y) = T(x * K(z,y),y). K(x,y) * z != T(K(x,y) * u,w) | z = K(y,x) * T(K(y,x) \ 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 != y * T(T(z,u),w) | x = y * T(T(z,w),u). T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). K(x,y) * T(T(z,x),u) = T(K(x,y) * T(z,u),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). T(x,y) * K(y,z) = T(x * K(y,z),y). 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). K(x,y) * T(z,y) = T(K(x,y) * z,y). x != T(y * K(z,u),z) | x = z \ (y * T(z,u)). T(x,y) * K(y,z) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y,x) * K(x,z). x != y * K(z,u) | x = (y / z) * T(z,u). T(x * K(y,z),y) = (T(x,y) / y) * T(y,z). (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). x * y != T(z,u) * K(u,w) | x \ T(z * K(u,w),u) = y. x \ T(x * K(y,z),y) = K(x,y) * K(y,z). (x \ y) * K(x,z) = T((y / x) * K(x,z),x). T((x / y) * K(y,z),y) = (y \ x) * K(y,z). L(x \ y,z,u) * K(x,w) = T(L(y / x,z,u) * K(x,w),x). T(L(x / y,z,u) * K(y,w),y) = L(y \ x,z,u) * K(y,w). K(x,y) * z != x \ (u * T(x,y)) | T(T(u,x),K(x,y)) = z. T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). x * T(y,T(x,z)) = T(y,K(x,z)) * x. T(x,K(y,z)) * y = y * T(x,T(y,z)). T(x,K(y,z)) = T((y * x) / y,T(y,z)). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x \ y,K(x,z)) = T(y / x,T(x,z)). T(x / y,T(y,z)) = T(y \ x,K(y,z)). (K(x,y) * z) * x = K(x,y) * (z * x). R(K(x,y),z,x) = K(x,y). L(x,y,K(x,z)) = x. x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). (K(x,y) * z) * x = T(x,y) * T(z,x). (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). x != K(y,z) * (u * K(z,y)) | x = T(u,K(z,y)). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). x != T(K(y,z),K(y,u)) | x = K(y,z). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). x * y != T(z,y) | x = z / T(y,z). K(x,y) * z = z / T(K(y,x),z). x / T(K(y,z),x) = K(z,y) * x. x * K(y,z) = T(K(y,z) * x,K(y,z)). T(K(x,y) * z,K(x,y)) = z * K(x,y). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). T(x * K(y,z),K(z,y)) = K(y,z) * x. (x * K(y,z)) * K(z,y) = x. 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. T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. 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,z) != y \ K(y,z) | x = y \ 1. (x \ K(x,y)) * K(y,x) = x \ 1. x * K(y \ z,y) != u * (y \ z) | x = u * (z / y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). 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(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 * (y * K(z,u))) \ (x * y) = L(K(u,z),y * K(z,u),x). L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. 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 * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. x * (y / z) = (x * K(z,z \ y)) * (z \ y). (x * K(y,y \ z)) * (y \ z) = x * (z / y). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). (x / T(y,z)) * y = x * K(z,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 * K(y,x \ z)) \ z = T(x \ z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). (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) * K(z,y) = (x * K(z,y)) * y. (x * K(y,z)) * z = (x * z) * K(y,z). 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). x / K(y,z) != x * u | K(z,y) = u. (x * K(y,z)) * K(z,y) != u | u = x. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). x / (K(y,z) \ 1) = x * K(y,z). 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 / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = 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 != 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)) \ x) \ u = K(y,z) * u. (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). (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 * 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) = x * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | x = v5 * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. (x * (y * K(z,u))) \ (x * y) != w | w = L(K(u,z),y,x). (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. L(K(x,y),z,u) = L(K(x,y),z * K(y,x),u). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). x != K(y,z) * u | x = K(z,y) \ u. x / T(K(y,z),x) = K(y,z) \ x. (K(x,y) * z) \ z = T(K(y,x),z). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). K(x,y) = K(R(x,z,R(x,u,w)),y). K(R(x,y,R(x,z,u)),w) = K(x,w). x != R(K(y,z / (u / w)),z,w) | x = K(y,(z * w) / u). 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(R(x,y,x),z) = K(x,z). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). R(x,y,x) * K(x,z) = T(R(x,y,x),z). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. x != 1 / K(y,z) | x = K(z,y). 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,T(y,z)) = T(K(x,y),z). T(K(x,y),z) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,y \ z)). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,(y \ z) \ z) != u | K(x,T(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. 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 \ z) = K(x,T(z / y,z)). K(x,T(y / z,y)) = K(x,z \ y). K(x,y) = K(x,T(y,K(z,x))). K(x,T(y,K(z,x))) = K(x,y). K(x,y) = K(x,T(y,K(x,z))). K(x,T(y,K(x,z))) = K(x,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) | x = (K(z,y) * u) \ u. K(x,T(y,z)) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = K(y,T(x,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,z \ (u * w)),v5) | x = L(T(K(y,(u \ z) \ w),v5),w,u). K(x,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). x != T(K(y,z),u) | x = K(y,(z \ u) \ u). K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). x != T(K(y,z),u) | x = K(u,K(z,y)) * K(y,z). K(x,T(y,z)) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != T(K(y,z),u) | x = K(y,z) * K(u,K(z,y)). K(x,T(y,z)) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). 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),z * u) | x = K(y,T(z,u)). K(x,T(y,y * z)) = K(x,T(y,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(y \ 1,z),u) | x = K(T(y,u) \ 1,z). K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != T(K(y,z \ 1),u) | x = K(y,T(z,u) \ 1). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). x != T(K(y,z),y * u) | x = K(T(y,u),z). K(x,T(y,x * z)) = K(T(x,z),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),R(y,u,w)) | x = K(y,z). K(x,T(y,R(x,z,u))) = K(x,y). T(K(x,T(y,z)),u) = K(x,T(T(y,u),z)). T(K(x,L(y,z,u)),w) = K(x,L(T(y,w),z,u)). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. 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 * T(K(x,y),z) = T(x,T(y,z)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,T(y / z,y)) != u | K(x,z \ y) = 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)) = K(x,y) * (K(z,u) * x). K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). (K(x,y) * z) * K(T(y,z),x) = z. x * y != K(z,u) * (z * w) | x \ (T(z,u) * w) = y. (x * y) \ (T(x,z) * y) = K(x,T(z,x * y)). x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * y != K(z,(u / x) \ 1) * x | 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,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(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. R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). x \ (y * (K(z,u) * (y \ x))) = L(K(z,T(u,y \ x)),y \ x,y). L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). x * K(y * x,y) = K(y * x,y) * x. K(x * y,x) * y = y * K(x * y,x). K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. (K(x,y) * z) * K(y,T(x,z)) = z. x * K(T(y,x),z) = K(y,z) * x. K(x,y \ 1) = K(T(x,L(y,z,u)),y \ 1). K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). T(K(x,y),z) = K(T(x,z),y). x * K(T(y,x),z) = K(z,y) \ x. x * y != K(z,u) * x | y = K(z,T(u,x)). K(T(x,y),z) = K(x,T(z,y)). K(T(x,K(y,z)),y) = K(x,y). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. K(x * y,K(x,z)) = 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,z)). K(x * y,K(y,z)) = K(x,K(y,z)). x != K(y,K(z,y)) | x = 1. K(x,K(y,x * y)) = 1. K(x,T(y,z)) \ 1 = K(y,T(x,z)). x * K(T(y,z),u) = x * K(y,T(u,z)). x != K(T(y,z),u) | x = T(K(y,u),y * z). K(x,T(y,z)) = T(K(x,y),x * z). T(K(x,y),x * z) = K(x,T(y,z)). x != K(T(y,y \ z),u) | x = T(K(y,u),z). K(x,T(y,x \ z)) = T(K(x,y),z). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(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) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). 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(L(x,y,z),u) = K(L(x,y,z),T(u,x)). K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). T(x,K(y,T(x,z))) = x. (x * y) / (K(z,T(x,u)) * y) = T(x,T(z,u)). K(x,T(y,z)) * T(x,z) = T(T(x,z),y). K(x,T(y,z)) * T(y,T(x,z)) = y. K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. K(x,T(y,z)) \ 1 != u | K(y,T(x,z)) = u. K(x,T(y,z)) \ u = K(y,T(x,z)) * u. T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,y). 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)) != w | x * K(z,T(y,u)) = w. x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. 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). (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). K(x * y,K(y,z)) = K(z,K(y,x)). x != K(y * z,K(z,u)) | x = K(y,K(z,u)). K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = K(x,K(y,z)). x != K(y * z,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(y,x)). x * K(y,K(z,x)) = T(x,K(z,y)). x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. K(x,K(y,z)) * K(x,y) = T(K(x,y),z). 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(y,x) = T(K(y,x),z). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,K(y,z)) * z = T(z,K(y,y * x)). T(x,K(y,y * z)) = K(z,K(y,x)) * x. 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 * z,K(y,u)) | x = K(z,K(y,u)). K(x,K(x * y,z)) = K(y,K(x,z)). K(x,K(y,z)) * y = T(y,K(x,z)). x * K(y,K(x,z)) = T(x,K(y,z)). x * (K(y,K(x,z)) * u) != w | T(x,K(y,z)) * u = w. x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. 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)). K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). 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(z,u) * K(u,T(z,y)). K(x,K(y,z)) = K(x,y) * K(y,T(x,z)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). x != K(y \ z,u) | x = K((z \ y) \ 1,u). K(x,K(y,z \ u)) = K((u \ z) \ 1,K(x,y)). K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). 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)). K(x,K(y,z * x)) = K(z,K(x,y)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. x * K(y,K(z,x)) = T(x,K(y,z)). (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). K(x,K(y,z)) * K(y,x) = T(K(y,x),z). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). 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,K(y,z)) * K(x,z) = K(x,T(z,y)). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). K(x,K(y,z)) * x = T(x,K(z,y)). (x * K(y,z)) / x = K(y,T(z,x)). x != K(y,T(z,u)) | x = T(K(y,z),u). K(x,y) * K(z,K(x,y)) = T(K(x,y),z). K(x,T(y,z)) != K(x,y) * u | K(z,K(x,y)) = u. 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. T(K(x,T(y,z)),z) = K(x,y). L(K(x,T(y,z)),u,w) = (z * L(K(x,y),u,w)) / z. (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). x != K(y,K(z,u)) * u | x = T(u,K(z,y)). T(x,K(y,z)) = T(x,K(z,y)). x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(T(x,K(y,z)),K(y,z)) = x. x * K(x,K(y,z)) = T(x,K(z,y)). 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. x != T(T(y,z),K(z,u)) | x = T(y,T(z,u)). T(T(x,y),K(z,y)) = T(x,T(y,z)). K(x,y) * T(z,K(y,x)) = z * K(x,y). K(x,y) * T(T(z,K(y,x)),u) != w | T(z,u) * K(x,y) = w. T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. T(T(x,y) \ z,K(x,y)) != u | (x \ z) * K(y,x) = u. K(x,y) = K(x,T(T(y,z),z)). K(x,T(T(y,z),z)) = K(x,y). K(x / y,z) = K(y \ x,T(z,x)). K(x \ y,T(z,y)) = K(y / x,z). T(K(x,y),y \ 1) != z | K(x,y) = z. K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(x,T(T(y,z),z)) != u | K(x,y) = u. (x * K(y,z)) / x = T(K(y,z),x). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). K(x,T(y,z)) * z != z * u | u = K(x,y). K(x,T(y,z)) * z != z * u | K(x,y) = u. R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). T(K(x,y),z) * z = z * K(x,y). T(T(K(x,y),z),z) = K(x,y). (x * K(y,z)) / x != u | K(y,T(z,x)) = u. K(K(x,y),z) = K(z,K(x,y)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. x * K(K(y,z),u) != K(u,K(y,z)) | 1 = x. 1 = K(x,K(y,z)) * K(x,K(y,z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. K(x,K(y,z)) * (K(x,K(y,z)) * u) = 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)) * u != w | K(x,K(y,z)) \ u = w. K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) != u | K(x,K(z,y)) = u. K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. 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. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(K(x,y),z) != u | K(x,K(y,z)) = u. K(x,K(y,R(z,u,w) \ 1)) = R(K(K(x,y),z \ 1),u,w). R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). x * y != 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) \ 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 != K(y,z) * u | x = T(y,z) * (y \ u). x * K(y,z) = T(y,T(z,x)) * (y \ x). T(x,T(y,z)) * (x \ z) = z * K(x,y). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). x * K(y,z) != u * x | K(y,T(z,x)) = u. K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,T(u,y))),K(z,T(u,y)) * y,x). L(L(x,y,K(z,T(u,y))),K(z,T(u,y)) * y,w) = (w * (y * K(z,u))) \ (w * (K(z,T(u,y)) * (y * x))). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. T(x,y * K(x,z)) = T(x,y). K(x,y * K(x,z)) = K(x,y). K(T(x,y),z) * y = y * K(x,z). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). x * K(y,T(x,z)) = T(x,K(y,z)) * K(y,x). T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). 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) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,x \ y)). 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. 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(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(x \ y,T(z,x)) = K(y / x,z). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). 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,z * x)) = K(z \ T(z * x,x),y). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). K(T(x,y \ z),y) = K(x,z / (z / y)). 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). T(x,y) * K(x,z) = T(T(x,y),T(z,y)). T(T(x,y),T(z,y)) = T(x,y) * K(x,z). x * K(T(x,y),T(z,y)) = T(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). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). K(x,T(y,z)) = K(K(z,x) * x,y). K(K(x,y) * y,z) = K(y,T(z,x)). K(T(x,y),T(z,u)) = K(T(x * K(u,x),y),z). K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). T(K(x,y),z) != u | K(T(x,z),y) = u. K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). K(x,T(y,z)) * (z * x) = z * T(x,y). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). T(x,y * T(x,z)) = T(x,y * x). K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). (K(x,T(y,z)) * (z * (y * x))) \ ((z * y) * T(x,y)) = L(a(z,y,x),z * (y * x),K(x,T(y,z))). T(K(x,y \ z),y) = K(x,z / y). (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. x != K(y * K(z,y),u) | x = T(y * K(z,y),u) * (y \ K(y,z)). K(x,T(y,z)) = T(x * K(z,x),y) * (x \ K(x,z)). T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). K((x \ y) \ y,z) = K(T(x,y),z). K(x \ y,z) = K(T(y / x,y),z). K(T(x / y,x),z) = K(y \ x,z). T(K(x,y),z) * T(x,z) = T(T(x,z),y). K(T(x,y),z) != u | K(x,T(z,y)) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). (x * (K(y,z) * K(x,u))) * K(z,y) != w | w = T(x,T(u,K(y,z))). (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. x * y != T(z,u * K(z,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,y) = T(x,y * K(z,x)). T(x,y * K(z,x)) = T(x,y). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). x != K(L(y,y \ 1,z),u) | x = K(y,u). K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,y)). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). 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)). K(x,R(y,x,z)) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(x,T(y \ z,y)) = K(x,z / y). K(x,y) * (z * x) = z * T(x,T(y,z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). 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)). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). x * y != (z * T(u,w)) * T(w,u) | ((z * u) * w) / y = x. ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). R(x,y,z) = R(x,T(y,z),T(z,y)). R(x,T(y,z),T(z,y)) = R(x,y,z). R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. K(x,y) != z | R(K(x,y),y,u) = z. K(x,R(T(x,y),z,u) \ w) = K(x,w / R(T(x,y),z,u)). K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. x != K(T(y,z),u) | x = K(y,T(u,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. x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). 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,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)). T(T(K(x,y),z),u) = K(x,T(T(y,u),z)). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T(1 / x,y) = T(1 / x,T(y,x)). T(1 / x,T(y,x)) = T(1 / x,y). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). 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). T(T(x,K(y,z)),z) = T(x,T(z,y)). T(x,y) = T(T(x,K(y,z)),T(y,z)). T(T(x,K(y,z)),T(y,z)) = T(x,y). T(x,K(y,z)) = K(y,z) * (x / K(y,z)). K(x,y) * (z / K(x,y)) = T(z,K(x,y)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). x != K(y,K(z,u)) * u | x = T(u,K(y,z)). 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)). T(x,K(y * z,y)) = T(x,K(y,z)). x * K(y * z,y) = T(K(y * z,y) * x,K(y,z)). T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). T(x,K(y,z)) = 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,z)) = T(x,K(z,z \ y)). T(x,K(y,y \ z)) = T(x,K(z,y)). T(x,K(y * z,z)) = T(x,K(z,y)). T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. x != K(y,z) * (K(u,y) * w) | x = K(u,y) * (K(y,z) * w). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). 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). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). (K(x \ 1,y) * z) \ (1 * z) = K(y,(x * z) \ (1 * z)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))). L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,((w / y) * L(y,z,u)) \ (w * L(y,z,u))). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). L(K(x,y),y,z) = K(x,y). K(L(x,y,z),y * x) = K(x,y * x). x != K(y,z) | x = K(y,((u * z) \ u) \ 1). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). a(x,y,K(z,y)) = 1. K((x \ y) \ z,z) = K(y \ (x * z),z). (x * y) * K(z,y) = x * (y * K(z,y)). x * K(y,z) = (x / z) * (z * K(y,z)). (x / y) * (y * K(z,y)) = x * K(z,y). L(K(x,y),y,z) \ (y * u) = T(y,x) * u. R(x,y,K(z,y)) = x. x != (y * z) * K(u,z) | x = (y * K(u,z)) * z. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). (x * (y * z)) * K(u,L(z,y,x)) = (x * y) * (L(z,y,x) * K(u,L(z,y,x))). (x * y) * (L(z,y,x) * K(u,L(z,y,x))) = (x * (y * z)) * K(u,L(z,y,x)). (x * y) * K(y \ z,y) = x * (z / (z / y)). (x * y) * K(z,y) = x * ((z * y) / z). (x * (y * K(z,y))) * z = (x * y) * T(z,y). (x * (y * K(z,y))) \ (x * y) = K(y,z). R(x,K(y,z),z) = x. (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) != w | L(u,y * K(z,u),x) = w. (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). (T(x,y) \ 1) * x = (x \ 1) * (x * K(y,x)). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. (x * y) * K(z,T(u,y)) = (x * T(y,K(z,u))) * K(z,u). (x * T(y,K(z,u))) * K(z,u) = (x * y) * K(z,T(u,y)). (x * T(y,K(z,u))) * K(u,z) = (x * y) * K(u,T(z,y)). a(x,y,K(z,T(y,u))) = 1. a(x,T(y,z),K(u,y)) = 1. x * y != (z * (u * K(w,u))) \ (z * u) | K(u,w) / y = x. K(x,y) / x = 1 / (x * K(y,x)). 1 / (x * K(y,x)) = K(x,y) / x. K(x,((y * z) \ y) \ 1) != u | u = K(x,z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. L(K(x,y),y,z) != u | K(x,y) = u. (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). x != (y * T(y \ z,u)) \ z | x = K(u,y \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). x * K(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). K(x,y \ z) = K(x,(y * K(u,x)) \ z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,y \ z) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(x,z \ u). K(x,y \ K(x,z)) = K(x,y \ 1). x != K(y,(z * y) \ z) | x = K(y,y \ 1). K(x,x \ K(y,x)) = K(x,x \ 1). 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). K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,T(y,z)) != u | K(T(x,z),y) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(L((x \ y) / z,z,x),T(u,z)) != w | K((x * z) \ y,u) = w. K((x * y) / x,z) != u | K(y,T(z,x)) = 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. x != y * T(z,u) | x = (y * z) * K(z,u). K(x,y) * (z * x) = (z * x) * K(x,T(y,z)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). x * y != K(z,T(u,x)) * (x * z) | y = T(z,u). T(x,T(T(y,z),z)) = 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(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). (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)). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ w). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ T(x,z)) = K(x,y \ x). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,y \ z) = K(x,y \ ((x \ z) * x)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x / y,z \ (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). x \ (y * K(x,z)) = (x \ y) * K(x,z). T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. x * ((x \ y) * K(x,z)) = y * K(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). 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 * (z * K(y,u)) | x = T(y,u) * T(z,K(y,u)). (x * y) * K(x,z) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). (x * (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). 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 != L(K(y,z \ (u \ w)),u \ w,u) | x = K(y,(u * z) \ w). K(x,y \ (x \ z)) = K(x,(x * y) \ z). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(x,(x \ y) \ z) = K(x,y \ (x * z)). K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). x * y != L(K(z,u),w,z) | x \ K(z,u) = y. (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). x != K(y,(y * z) \ u) | x = (((y \ (u / z)) * y) * z) \ u. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). x != K(y,(y * z) \ ((y * u) * z)) | x = K(y,R(T(u,z),y,z)). K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). K(x,y \ z) = K(x,(x \ y) \ (x \ z)). K(x,(x \ y) \ (x \ z)) = K(x,y \ z). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). x != 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(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,x * y) = K(x,(x \ 1) \ y). K(x,(x \ 1) \ y) = K(x,x * y). 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,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. K(x,y) * L(x,z,x) = L(T(x,y),z,x). L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. x \ L(T(x,y),z,x) = K(x,y) * (x \ L(x,z,x)). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). T(x,y) = R(T(x,y),z,K(x,u)). R(T(x,y),z,K(x,u)) = T(x,y). R(x,y,z) = R(R(x,y,z),u,K(x,w)). R(R(x,y,z),u,K(x,w)) = R(x,y,z). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). R(x,y,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). 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(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)). 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,(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) = K(x,K(z,z \ x) * y). K(x,K(y,y \ x) * z) = K(x,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). x != T(y,z) * K(y,u) | x = K(y,z) * T(y,u). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). x != T(y,T(T(z,u),u)) | x = T(y,z). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). T(T(x,y),K(z,u)) = K(x,y) * T(x,K(z,T(u,y))). K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). ((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 * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. (x * y) * z != (x * K(u,y)) * y | z = K(u,y). K((x * y) \ (z * y),y) = K(x \ z,y). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). x != (y * (z * K(u,z))) \ (y * z) | x = K(z,u). K(x,(y * x) \ (z * x)) = K(x,y \ z). x != K(y,z \ ((y \ u) * y)) | x = K(y,z \ u). K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,y \ (z * x)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (z * x)). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. 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)). x != K(y,(z / y) \ u) | x = K(y,(y \ z) \ u). K(x,y \ (z * x)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (z * x)). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). 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)). R(x,T(y,z),K(u,y)) = x. R(x,K(y,z),T(z,u)) = x. a(x,y,K(x,z)) * u = u. T(x,K(y,x * y)) = x. x != T(y,K(z,u)) | x = T(y,K(z,z * u)). x = T(x,K(y,y * T(x,z))). T(x,K(y,y * T(x,z))) = x. T(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = T(x,y). T(x / y,K(y,x)) = x / y. T(x,x * y) = T(x,T(x * y,y)). T(x,T(x * y,y)) = T(x,x * y). K(x,R(y,z,x)) = K(x,y). K(x,y / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). K(x,y) * (z * y) = (K(x,y) * z) * y. (K(x,y) * z) * y = K(x,y) * (z * y). L(K(x,T(y,z)),y,u) = K(x,T(y,z)). L(K(x,y),T(y,z),u) = K(x,y). (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). x * (K(y,z) * T(z,u)) = (x * K(y,z)) * T(z,u). (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). x * K(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). T(T(x,y),K(z,x) * u) = T(T(x,y),u). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). x * y != K(K(z,u),w) | K(z,K(u,w)) / y = x. K(x,K(y,z)) / z = 1 / T(z,K(x,y)). (x * K(y,z)) * K(y,K(z,x)) = K(y,z) * x. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). K(K(x,y),z) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). K(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). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. T(K(x \ y,z),y) = K(y / x,z). T(K(x,1 / T(y,z)),z) = K(x,1 / y). K(x,K(y,x * K(y,z))) = 1. K(x,y / x) = K(x,y / T(x,z)). K(x,y / T(x,z)) = K(x,y / x). 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) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). T(x,y / (z / x)) = T(x,y / (x \ z)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). 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)). (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). x != L(K((K(y,z) * u) \ w,v5),w,K(z,y)) | x = K(u \ (K(z,y) * w),v5). K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). K(x,y) * z != K(x,T(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. T(x,K(y,R(x,z,u))) = x. T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). K(x,y) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = K(x,u). K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). K(x,(y * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). x != K(T(y,z),(z * K(u,y)) \ w) | x = K(y,w / (z * K(u,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 / (K(z,x) * u)) = K(x,y / u). x != K(y,z / (y * (u * z))) | x = K(y,u \ (y \ 1)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). x != K(y,z / ((u * w) * y)) | x = K(y,z / ((u * y) * w)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,K(y,z)) = K(x,K(y,z / y)). K(x,K(y,z / y)) = K(x,K(y,z)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y,z)) * y = T(y,K(x,z * y)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x,K(y,z)) = K(y,K(x,y \ z)). K(x,K(y,x \ z)) = K(y,K(x,z)). x * K(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = x * K(x,K(y,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. T(x,K(y,z)) * K(x * K(z,y),u) = K(y,z) * T(x * K(z,y),u). 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) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K((1 / x) * y,y) != z | K(x \ y,y) = z. x != K(T(y,z),L(T(u,z),w,v5)) | x = K(y,L(u,w,v5)). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). x != L(K(y,z),u * T(z,w),v5) | x = K(y,L(z,u * K(z,w),v5)). K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). L(K(x,y),y * z,u) = K(x,L(y,z,u)). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). L(K(x,y),z,u) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). K(L(x,y,z),y) = K(x,L(y,x,z)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. (x * y) * z != x * (y * K(1 / u,u)) | z = K(1 / u,u). K(1 / x,L(x,y,z)) = K(1 / x,x). 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. K(x,y) * z != u / (K(x,y) \ 1) | T(u,K(x,y)) = z. T(x,K(y,z)) = K(z,y) * (x / (K(y,z) \ 1)). K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). x != T(y,K(z,u)) | x = K(z,K(u,y)) * y. (1 / K(x,y)) * (z / (K(x,y) \ 1)) = K(x,K(y,z)) * z. K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). x * (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)). R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),z) != u | K(x,z) = u. K(x * y,y) != z | K(y * x,y) = z. 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 * y)),y) != u | K(x \ z,y) = u. 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),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(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(K(x,y) * z,y) = K(z,y). K(x,y) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(z,x). K(x * K(y,L(z,u,w)),z) = K(x,z). K(x * y,z) = K(x * (y * K(z,u)),z). K(x * (y * K(z,u)),z) = K(x * y,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,K(x,z) * u)) = K(x,T(y,u)). K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). x != K(y,T(z,L(y,u,w) * v5)) | x = K(y,T(z,v5)). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). x != K(y,T(z,u * z)) | x = K(y,T(z,u)). K(x,T(y,z * (y * x))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,z * (u / x))). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). K(x * y,x) = K(T(x,z) * y,x). K(T(x,y) * z,x) = K(x * z,x). K(K(x,y) \ z,x) = K(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). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). 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). x != K(y,T(z,L(z,u,w) \ 1)) | x = K(y,z). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). 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). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). K(x,(y * z) / y) != u | K(x,T(z,y)) = 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,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)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K(x,K(y / z,y)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(x / z,y)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,x / z)). K(x,K(y,x / z)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(x / y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,y \ x)). K(x,K(y,z \ x)) = K(x,K(z,y)). K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. K(x,K(y \ z,z)) = K(z,K(y,x)). K(x,K(y,z \ x)) = K(z,K(x,y)). x * K(x,K(y,z)) = T(x,K(z,y \ x)). K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z \ y)) = K(x,K(z,y)). x != K(y,K(z,u \ z)) | x = K(y,K(z,u \ 1)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(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)). x != K(y,K(z,u \ y)) | x = K(y,K(u,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,x \ z)) = K(x,K(z,y)). K(x \ y,K(x,z)) = K(x,K(y,z)). K(x,K(x \ y,z)) = K(x,K(z,y)). 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 * y,x) = K(x * y,T(x,z)). K(x,K(x * y,z)) != u | K(y,K(x,z)) = u. K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x,K(y,z)) = K(z \ 1,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). x * K(x,K(y,z)) = T(x,K(y,z \ 1)). T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z)) = K(1 / z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x \ 1,K(y,z)) = K(x,K(y,z)). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(y,K(z,L(x,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). K(x,K(y,L(z,u,w))) != v5 | K(x,K(L(y,u,w),z)) = v5. K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. x != L(K(y,K(z,u)),w,v5) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). 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(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). K((x * y) / (x * (z \ y)),u) \ w = L(K(T(T(u,y),x * y),z),y,x) * w. L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. 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). x != K(L(y,T(y,z) \ 1,u),w) | x = K(y,w). L(K(x,y),K(z,x),u) = K(x,y). L(K(x,y),z,u) = L(L(K(x,y),z,u),K(w,x),v5). L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,T(K(y,z),u),K(z,w)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. R(x,K(y,z),R(K(z,u),w,v5)) = x. R(x,K(y,z),L(K(z,u),w,v5)) = x. x * (L(K(y,z),u,w) * K(z,v5)) = (x * L(K(y,z),u,w)) * K(z,v5). (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). 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(z,v5) | x = K(z,v5) * L(K(y,z),u,w). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). 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) \ L(K(x,y),z,u) = a(u,z,K(y,x)). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). K(1 / x,y) * K(y,1 / L(x,z,u)) = a(u,z,K(1 / 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) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * z != L(K(x,y),u,x) | 1 = z. 1 = a(x,y,K(z,x)). a(x,y,K(z,x)) = 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. K(x,y) * L(K(y,x),z,u) != w | w = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. 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) * 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 * u,z)) * K(z,u) | x = K(z * u,z) * (K(z,u) * y). x * (K(y,z) * K(y * z,y)) = K(y * z,y) * (K(y,z) * x). K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). (x * 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). (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). 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)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | x = K(y,L(z,w,v5)). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). a(x,y,K(z,L(y,u,w))) = 1. K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),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. L(K(x,y),z,y) = K(x,y). K((x * y) \ z,x) = K(y \ (x \ z),x). K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). K(L(x,y,z),z) = K(x,z). x != L(K(y,z),z * u,w) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,y)). K(x,L(y,z,y)) = K(x,y). K((x \ y) \ z,x) = K(y \ (x * z),x). (x * y) * K(z,x) = x * (y * K(z,x)). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). K(x * y,x) = K((x \ 1) \ y,x). K((x \ 1) \ y,x) = K(x * y,x). 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). K((1 / x) \ y,x) = K(x * y,x). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). x \ T(x * y,x) = y * K(x * y,x). x != R(y,K(z,u),T(u,w)) | x = y. x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). x != R(y,K(z,u),L(K(u,w),v5,v6)) | x = y. x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,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. x != (y * z) * K(u,K(w,L(v5,z,y))) | x = y * (z * K(u,K(w,v5))). T(x * y,K(z,L(u,y,x))) = x * (y * K(z,K(x * y,u))). x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). T(x,y * T(z,K(x,u))) = T(x,y * z). x * (y * K(x * y,x)) = T(x * y,x). K(x,y) * z != K(x,u) * (w * K(x,y)) | T(K(x,u) * w,K(x,y)) = z. T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). L(T(x,y),K(z,x),u) = T(x,y). (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,w,v5))). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). x != K(y,z * y) | x = K(y,y * z). K(L(x,y,z),y * x) = K(x,x * y). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. x != (y * K(z,u)) \ y | x = K(u,z). K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). 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 * y != K(z,K(u,w)) | x \ K(z,K(w,u)) = y. K(x,T(y,z)) \ K(y,K(z,x)) = K(y,x). x != K(y,z) \ u | x = K(z,y) * u. L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). x != K((y * z) / (y * (u \ z)),w) | x = (y * (K(u,w) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). (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). 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(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). 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((K(y,z) * u) \ w,z) | x = K(u \ (K(z,y) * w),z). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y * z),y) = K(x \ (z * y),y). K(x \ (y * z),z) = K(x \ (z * y),z). K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ y,z) = K(x \ ((z \ y) * z),z). K(x \ ((y \ z) * y),y) = K(x \ z,y). K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (y / z),z) = K(x \ (z \ y),z). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). x != K((y * z) \ (u * z),z) | x = K(y \ u,z). K((x * y) \ z,y) = K(x \ (y \ z),y). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. 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 * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). K(x,L(x,y,y \ 1) \ z) = K(x,((1 / y) * y) \ (x \ z)). K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). K((x * y) \ z,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)) \ 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),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 * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). x != K(L(L(y,z,u),w,v5),u) | x = K(L(y,w,v5),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). K((x * y) \ z,u) = K((x * (u \ y)) \ (u \ z),u). K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). K(x \ y,1 / z) = 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). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). 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). K(x,y) != z * a(u,w,K(x,y)) | L(K(x,y),w,u) = z. x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). 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(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). x != K(L(K(y,z),u,w),v5) | x = K(v5,K(z,L(y,u,w))). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). x != K(y,K(z,L(u,w,v5))) | x = L(K(u,K(y,z)),w,v5). K(x,L(K(y,z),u,w)) = L(K(y,K(x,z)),u,w). L(K(x,K(y,z)),u,w) = K(y,L(K(x,z),u,w)). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * z,w))). K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. 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 * (1 / y),x) != z | K(y \ x,x) = z. K(x * (y \ 1),x) != z | K(y \ x,x) = z. K(x,K(y,z \ u)) = K(x,K(u / z,T(y,z))). K(x,K(y / z,T(u,z))) = K(x,K(u,z \ 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(x \ y,z) * y = y * K(y / x,z). K(x / y,z) = T(K(y \ x,z),y). T(K(x \ y,z),x) = K(y / x,z). K(x / y,z) = K((x \ y) \ 1,T(z,y)). K((x \ y) \ 1,T(z,y)) = K(x / y,z). K(L(x,y,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(T(x \ y,x),z) != u | K(y / x,z) = u. K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). T(x,K(y,z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,z)). x != T(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z * x)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,z)). T(x,K(y,z)) * K(z * x,y) = K(z * x,y) * x. x != K(y,z) * u | x = u / T(K(z,y),u). T(x,K(y,z)) * K(z * x,y) = x / T(K(y,z * x),x). x / T(K(y,z * x),x) = T(x,K(y,z)) * K(z * x,y). K(x / y,z / x) = K(y \ x,x \ z). K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. K(x,T(y,z)) != u | T(K(x,y),z) = u. (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)). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). x != K(y,K(z,u \ 1)) | x = K(y,K(z,u)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). T(K(x \ y,z),y) = K((x / y) \ 1,z). K((x * y) / z,x) = K(z \ (x * y),T(x,y)). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. K(x / y,x / z) != u | K(y \ x,z \ x) = u. K(x \ y,x) * T(z,K(x,y)) = z * K(x \ y,x). K(x \ y,x) * (y * T(z,T(y,x))) = (z * y) * K(x \ y,x). x / K(x / y,z) = K(y \ x,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))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = 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 / (y / z),y / z) = K(x / (z \ y),y / z). 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). 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). K(x,T(y,x \ z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). x != K(y,T(z,y \ u)) | x = K(y,T(z,u)). K(x,T(y,z / x)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ x)). K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). K(x,y * K(x,z)) != u | K(x,y) = u. x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)). K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. 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(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,x * z)). T(x * y,K(x,x * z)) = x * T(y,K(x,z)). x * y != T(x * (z / x),u) | y = T(z,u) / x. T(x / y,K(y,z)) = T(x,K(y,z)) / y. T(x,K(y,z)) / y = T(x / y,K(y,z)). x / K(y,T(z * x,x)) = T(x,K(y,z)) * K(z * x,y). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). 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)) * y = (x * K(u,y)) * T(y,z). (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). 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 != (y * K(z,u)) * T(u,w) | x = y * (K(z,u) * T(u,w)). (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). L(K(x,y),K(y,z),u) = K(x,y). R(x,K(y,z),K(u,y)) = x. ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). x * K(y,z) = (x * K(u,z)) * (K(z,u) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). x != y / K(z,u) | x = y * K(u,z). R(x / K(y,z),K(u,w),K(v5,u)) = x * K(z,y). 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). (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 != L(K(y,z),T(z,u),w) | x = K(y,z). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). 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(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(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). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). 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 \ T(x * K(x / y,z),x) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. K(x,K(y,z)) = K(1 / y,K(x,z)). K(1 / x,K(y,z)) = K(y,K(x,z)). K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x,y * R(x,z,u)) = K(x,R(x,z,u) * y). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,y) = K(x,K(R(x,z,u),w) * y). K(x,K(R(x,y,z),u) * w) = K(x,w). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). x != K(y,R(z / y,u,w)) | x = K(y,R(y \ z,u,w)). K(x,(y * z) / (z * x)) = K(x,R(x \ y,x,z)). K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). x != K(y,R(T(y,z),u,w) \ v5) | x = K(y,v5 / R(T(y,z),u,w)). K(x,R(x,y,z) \ u) = K(x,u / R(T(x,w),y,z)). K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). K(x,(y * z) \ z) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). K(x,y / ((z * x) * u)) = K(x,y / ((x * 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 / (((x \ z) * x) * u)) = K(x,y / (z * u)). 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) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). T(L(T(x,K(y,z)),K(y,z),K(z,u)),K(z,u)) = R(T(x,K(z,u) * K(y,z)),K(z,u),K(y,z)). T(L(T(x,K(y,z)),K(z,y),K(y,u)),K(y,u)) = R(T(x,K(y,u) * K(z,y)),K(y,u),K(z,y)). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). x != R(y,K(z,u),K(w,z)) | x = y. L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). T(x,K(y \ 1,z)) = T(x,K(z,y)). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y,z \ u)) = T(x,K(y,u \ z)). T(x,K(y \ 1,z)) = T(x,K(y,z)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. T(x,T(y,z \ 1)) = x * K(x,T(y,z)). T(x,T(y,z \ u)) = T(x,T(y,u \ z)). K(x,T(y,z \ 1)) = K(x,T(y,z)). x * y != T(x,T(z,u)) | y = T(K(x,z),u). K(x,T(y,z)) = T(K(x,y),z \ 1). T(K(x,y),z \ 1) = K(x,T(y,z)). 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)). K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. K(x * R(y,z,u),y) = K(x * R(y,z,u),T(y,x)). K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). K(x,T(y,z)) = K(x,T(y,z \ y)). K(x,T(y,z \ y)) = K(x,T(y,z)). K(x \ y,z) = K(x \ y,T(z,y \ x)). K(x \ y,T(z,y \ x)) = K(x \ y,z). K(x,y / z) = K(x,T(y / z,y \ z)). K(x,T(y / z,y \ z)) = K(x,y / z). K(x,T(y,K(z,u) * w)) = K(x,T(y,w \ K(u,z))). K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,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). L(x,y,K(z,x)) = x. x * y != K(z,x) * (u * x) | T(K(z,x) * u,x) = y. T(K(x,y) * z,y) = T(y,x) \ (z * y). T(x,y) \ (z * x) = T(K(y,x) * z,x). L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(x,y) = K(x,L(y,z,K(u,x))). K(x,L(y,z,K(u,x))) = K(x,y). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). 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). (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). 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. x / (K(y,z) * K(z,u)) != w | w = x * (K(z,y) * K(u,z)). x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. (x * y) * K(z,L(u,y,x)) != w | (x * (y * u)) / T(L(u,y,x),z) = w. 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 / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. x != K((y * (z / y)) \ u,z) | x = K(z \ u,z). K(K(x \ y,x) * z,y) = K(y \ (y * z),y). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(K(x \ y,x) * z,y) = K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). K(x,y) * T(z,x * y) = T(K(y \ (x * y),y) * z,x * y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). K(x,y) * T(z,x * y) = T(K(x,y) * z,x * y). T(x * 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)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),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). x != K(y,(z * (u * y)) \ w) | x = K(y,(z * u) \ (y \ w)). L(K(x,y),T(z,y * x),y * x) = K(x,((z / y) * y) \ (x \ (z * (y * 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). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). x != K(y,T(z / u,z)) | x = K(y,u \ z). K(x \ y,x / z) = K(y / x,z \ x). K(x / y,z \ y) = K(y \ x,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 / T(y,z),y) = K(T(y,z) \ x,y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x \ (x * y),z) != u | K(y,z) = u. K((x / y) \ x,z) != u | K(y,z) = u. K(x,y) * (T(y,z) * u) = T(y,z) * (K(x,y) * u). T(x,y) * (K(z,x) * u) = K(z,x) * (T(x,y) * u). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K(x,y * (K(x,z) * u)) = K(x,y * u). K(x * (K(y,z) * u),y) = K(x * u,y). x != K((y * z) / (y * (u \ z)),w) | x = K(u,(y * z) / (y * (w \ z))). (x * y) / (x * (K(z,u) * y)) = K(u,(x * y) / (x * (z \ y))). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. K(x,y \ (z * u)) = K(x,y \ (z * (K(w,x) * u))). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * 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)). 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,L(L(z,u,K(w,y)),v5,v6)) | x = K(y,L(z,v5,v6)). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). x != 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,z,u)) = K(x,L(y,K(x,w) * z,u)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | x = K(z,y). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). x != K(L(y,T(z * (y \ u),z),w),z) | x = K(y,L(R(z,y \ u,z),u,w)). K(L(x,y * (x \ z),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). 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,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,y \ z) = K(x,z / y). K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). x * K(y,z \ R(T(y,u),w,v5)) != K(y,R(T(y,u),w,v5) / z) | 1 = x. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). L(K(x,y),x \ 1,z) = K(x,y). x * K(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x * K(x,y). T(x,L(y,z,x)) = T(x,y). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y) \ K(x,z) = (T(x,y) \ 1) * K(x,z). (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). R(x,T(K(y,z),u),T(K(z,w),v5)) = x. x != T(y,K(z,y)) | x = y. L(T(x,K(y,x)),K(z,x),u) = x. (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). K(L(x,y,K(z,u)),u) = K(x,u). x != L(K(y,z \ 1),u,w) | x = K(y,L(z,u,w) \ 1). K(x,y \ 1) = K(x,L(y,x \ 1,z) \ 1). K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). T(x,L(y,z,y)) = T(x,y). T(x,L(y,z,y)) != u | T(x,y) = u. L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. x != T(y,z) | x = T(y,T(T(z,u),u)). T(x,L(y,z,y)) = T(x,T(T(y,u),u)). T(x,T(T(y,z),z)) = T(x,L(y,u,y)). L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,T(y / z,y)) = T(x,z \ y). L(x,K(y,x),z) = x. R(x,y,z) = L(R(x,y,z),K(u,x),w). L(R(x,y,z),K(u,x),w) = R(x,y,z). (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. x != (y / z) * T((y / z) \ 1,u) | x = (y * T(y \ z,u)) / z. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). K(x \ y,T(z,x * K(y,x))) = K(x \ y,T(z,(x \ y) \ T(y,x))). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). x * y != K(z \ 1,K(u,w)) | K(u,K(w,z)) / y = x. K(x,K(y,z)) / z = T(1 / z,K(x,y)). T(1 / x,K(y,z)) = K(y,K(z,x)) / x. x * y != K(((z * u) \ z) \ 1,u) | 1 / y = x. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). (x * K(y,z)) * y != u | u = x * T(y,z). (x * K(y,z)) * y != u | x * T(y,z) = u. x != K((y * z) \ 1,y) | x = K(z \ (y \ 1),y). K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). K(x / (y * x),z) != u | K(1 / y,z) = 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,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,T(y,y \ z)) = T(x,T(y,z)). x != R(T(y,y * z),z,y) | x = T(y,z). R(T(x,x * y),y,T(x,z)) = T(x,y). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). x != K(y,z / (u / y)) | x = K(y,(z * y) / u). K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. K(x,y \ (z \ y)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,y)) = K(x,y \ z). x * K(x,y \ (z \ y)) = 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)). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x,T(y,z)) * (z * K(y,x)) = z. x / (x * K(y,z)) = K(z,T(y,x)). K(x,y) = K(x,y * K(z,R(x,u,w))). 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)). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). 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. x != K(R(y,z,u),T(w,y \ v5)) | x = K(R(v5 / (v5 / y),z,u),w). K(R(x,y,z),T(u,w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). x != K((y * z) / (u * z),T(w,y)) | 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). 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. R(x,y,x) * K(x,z) = R(T(x,z),y,x). x * y != R(z,u,z) * K(z,w) | x \ R(T(z,w),u,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). 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). 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 * L(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). (x * K(y,z)) * 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 * (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. K(x,L(y,z,T(x,u))) = K(x,y). L(K(x,y),z,T(x,u)) = K(x,y). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). x != K(y,z \ (T(y,u) \ w)) | x = K(y,z \ (y \ w)). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). (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 / (x \ z)) != u | K(x,y / (z / x)) = u. 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(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). K(x,T(y \ z,u)) = K(x,T(T(z / y,u),z)). K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). K(x,T(y \ z,z)) != u | K(x,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)). x != R(K(y,K(z,u)),w,v5) | x = K(z,K(u,R(y,w,v5))). K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). x != R(K(y,K(z,u)),w,v5) | x = K(y,K(z,R(u,w,v5))). 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,R(K(y,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)). 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))). 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(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. x != K(y,z) * y | x = T(y,z). 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))). K(x,y) * T(z,K(u,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). x != K(y,z / ((u * y) * w)) | x = K(y,z / (y * (u * w))). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). K(x,(y * x) / z) != u | K(x,y / (z / x)) = u. x != K(y,(z * u) \ u) | x = K(y,u \ (z \ u)). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). x * K(x,y \ (x * z)) = T(x,y \ (z * x)). T(x,y \ (x * z)) = T(x,y \ (z * x)). T(x,y \ (z * x)) = T(x,y \ (x * z)). x != T(y,z \ (y * u)) | x = T(y,(y \ z) \ u). T(x,y \ (z * x)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (z * x)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). (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. R(K(x,y),K(y,z),u) = K(x,y). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). 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). 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(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) * K(z,x)) * u = K(x,y) * (K(z,x) * u). K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. 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). 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. x != L(T(T(y,K(z,u)),K(z,w)),K(u,z),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). x != L(K(y,z) * (K(u,w) * v5),K(z,y),K(w,u)) | x = (K(w,u) * K(z,y)) \ v5. K(x,y) * (K(z,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. L(x,K(y,T(z,u)),K(z,w)) = x. T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). x != T(y,K(z,R(u,w,v5))) | x = T(y,K(u,R(z,w,v5))). T(x,K(y,z) * K(R(u,w,v5),y)) = T(T(x,K(y,z)),K(u,R(y,w,v5))). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). x != T(T(y,K(z,u)),K(w,R(z,v5,v6))) | x = T(y,K(z,u) * K(R(w,v5,v6),z)). T(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,z) * K(R(z,u,w),y)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). 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))). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). T(x,K(y,z) * K(R(u,w / 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)). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). 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 != K((y * (z \ 1)) \ u,z) | x = K(y \ (u * z),z). L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,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 * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x != T(y,z) \ y | x = K(z,y). 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,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. T(x,(y / x) \ z) = T(x,y \ (z * x)). T(x,(y / x) \ z) = T(x,y \ (x * z)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x != (y * (z * u)) * K(u,L(z,u,y)) | x = y * (u * z). (x * y) * T(z * K(y,x),x * y) = z * (y * x). (x * 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,u))) / (K(z,u) * y) = x * K(z,K(y,u)). (x / y) * K(z,z \ y) = x / ((z \ y) * z). (x / y) * K(y / z,z) = x / (z * (y / z)). K(x / (y * z),y) = K(x / (z * y),y). K(x / (y * z),z) = K(x / (z * y),z). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. K(x,y / ((x \ z) * x)) != u | K(x,y / z) = u. (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. (x * T(y,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)). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). 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(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)). 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). x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. x != K(y \ z,y) * K(u,z / y) | x = y \ (z / T(z / y,u)). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). 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). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. T(K(x,y),z) != u | K(x,y) * K(x,K(y,z)) = u. K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. K(x,y) * (R(x,z,u) * w) = R(x,z,u) * (K(x,y) * w). R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). 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(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(K(x,y),R(y,z,u),w) = K(x,y). (x * K(y,z)) \ x = R(K(z,y),R(z,u,w),v5). R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). K(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 != T(y / z,T(z,u)) | x = z \ T(y,K(z,u)). T(x \ y,K(x,z)) = x \ T(y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(z,x)). x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). (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)). K(x,L(y,z,x \ 1)) = K(x,y). L(K(x,y),z,x \ 1) = K(x,y). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). x != K(y,z) | x = K(R(y,y \ 1,u),z). K(x,y) = K(R(x,x \ 1,z),L(y,u,x \ 1)). K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). K(x \ 1,y) = L(K(x \ 1,y),z,x). L(K(x \ 1,y),z,x) = K(x \ 1,y). x != y * T(z,T(y,u)) | x = T(z * y,K(y,u)). T(x,K(y,z)) * y = T(x * y,K(y,z)). ((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)). 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 != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). 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)). x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). (x * ((y * z) / y)) * y = (x * z) * T(y,z). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). ((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). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,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,x) = K(y \ (z * x),x). 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 * K(x / T(y,x),z) = T(x * K(x / y,z),x). x * K(T(x,y) / y,z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). x * y != T(x * K(x / z,u),x) | y = K(x / T(z,x),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 / (x / y),z) = K(y,T(z,x)). K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). 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,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). x != K(y,z) * (L(K(y,u),w,v5) * (K(z,y) * v6)) | x = L(K(y,u),w,v5) * v6. L(a(x,y,K(z,u)),w,v5) = L(K(z,u),w,v5) * L(L(K(u,z),w,v5),y,x). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). 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)). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(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,T(z,K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). x != T(y * z,T(z,y)) | x = T(y * z,z). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). x != T(y,T(z,z \ u)) | x = T(y,T(z,u)). T(K(x,y \ z),y) = T(K(x,y \ z),T(y,z)). T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). x != T(K(y,z),T(u,w * y)) | x = T(K(y,z),T(u,y * w)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,x * z)). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). T(x,T(T(y,z),z)) != u | T(x,y) = u. T(x,T(y \ z,y)) != u | T(x,z / y) = u. T(x,T(y,T(x,z))) != u | T(x,y) = u. x * (y \ R(y,x,y)) = (y * x) / T(y,y * x). (x * y) / T(x,x * y) = y * (x \ R(x,y,x)). x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). T(x * y,x) / x = y * (x \ R(x,y,x)). x * (y \ R(y,x,y)) = T(y * x,y) / y. R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). ((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))). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). 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 * (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)). 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(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(x * (y / T(z,u)),u) = K(x * (y / z),u). x != K(y * z,z) | x = K(z * y,z). K(x * T(y,z),y) = K(y * x,y). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). 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)). K(x,K(y \ 1,z)) = K(y,K(x,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 / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y,z)) = K(x,K(y,z * x)). K(x,K(y,z * x)) = K(x,K(y,z)). K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x \ u)). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). x != T(K(y,z \ (u * y)),T(z,y * u)) | x = T(K(y,z \ (u * 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). x != L(y,1,z) | x = y. K(x,L(y,y \ 1,z)) = K(x,y). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * (y \ w))). K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(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,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. x != T(T(y,K(z,u)),z) | x = T(y,T(z,u)). K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). T(x,T(y,T(z,x))) = T(x,T(y,z)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). 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,z * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,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)). K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). K(x \ (y / z),T(x,y)) = K(x \ (y / z),T(x,z)). K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). x * y != 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(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). ((K(x,y) * 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. x * (K(y \ x,y) * z) = ((y \ x) * y) * z. x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ 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). (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x != K(y,z) * K(z,z \ y) | x = z \ R(z,z \ y,z). a(x,y / x,x) = x \ R(x,x \ y,x). x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). R(x,y,x) / x = a(x,y,x). x != y \ R(y,z,y) | x = T(y,u) \ R(T(y,u),z,y). a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x != y \ R(y,y \ z,y) | x = K(z,y) * K(y,y \ z). a(x,x \ y,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,y \ x,y). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(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,x * y) * a(x,y,x) = K(x,y). a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. K(x * y,x) * (K(x,y) * z) = z * a(x,y,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. K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. K(x,y) * a(x,x \ y,x) = K(x,x \ y). 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. a(x,x \ 1,x) = K(x,x \ 1). K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. K(x,y) * z = K(x,x * y) * (a(x,y,x) * z). K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. K(x,y) * z != K(x,x * y) * u | a(x,y,x) * z = u. K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. a(x,y,x) * K(y,x) = K(x * y,x). a(x,y,x) * z != K(x * y,x) * (K(x,y) * u) | T(u,a(x,y,x)) = z. T(x,a(y,z,y)) = x. x * y != K(z * u,z) * (K(z,u) * x) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). x != K(y * z,y) * (K(y,z) * u) | x = u * a(y,z,y). a(x,y,x) * z = z * a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. (a(x,y,x) \ z) * a(x,y,x) = z. 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 * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). a(x,y,x) * z != z * u | a(x,y,x) = u. (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = 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. 1 * x = T(x,a(y,z,y)). T(x,a(y,z,y)) = 1 * x. x / a(y,z,y) != u | a(y,z,y) \ x = u. T(x,a(y,z,y)) != u | u = x. x != a(y,z,y) | x = y \ R(y,z,y). T(a(x,y,x),z) = x \ R(x,y,x). x * R(a(y,z,y),u,w) = R(a(y,z,y),u,w) * x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). x * 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). x * K(y,a(z,u,z)) = x. 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. L(x,y,x) = a(x,y,x) \ x. a(x,y,x) \ x = L(x,y,x). x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). a(x,y,x) * L(x,y,x) = x. T(x,R(a(y,z,y),u,w)) = 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. 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). L(x,y,x) * a(x,y,x) = 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). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). x != K(y,z) * K(z * L(y,u,w),y) | x = y \ R(y,z,L(y,u,w)). (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)). x != y \ R(y,z,L(y,u,w)) | x = K(y,z) * K(z * L(y,u,w),y). a(x,y,L(x,z,u)) = K(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). x \ R(x,y,T(L(x,z,u),y)) = a(x,y * K(L(x,z,u),y),L(x,z,u)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). (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)). 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). a(x,y,x) \ R(x,y,x) = x. x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. x * y != a(z,u,z) * L(z,u,z) | x \ z = y. L(x,y,x) \ x = a(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). L(x,y,x) \ x = x \ R(x,y,x). K(x,y) * a(y,z,y) = L(T(y,x),z,y) \ y. L(T(x,y),z,x) \ x = K(y,x) * a(x,z,x). (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). K(1 / ((x * y) \ x),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). K(x,1 / (y \ x)) = K(x,y / x). x * y != K(z,(u * w) \ u) | K(z,w \ 1) / y = x. K(x,y \ 1) / ((z * y) \ z) = 1 / T((z * y) \ z,x). K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). T(K(x,y),z) * (z / y) = (z / y) * K(x,y). (x \ y) * K(x \ 1,y) = (y \ (x \ y)) * y. (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). x * K(y,y \ x) != z | z = y * (x / y). x * K(y,y \ x) != z | y * (x / y) = z. ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). T(T(x,y) * (y / x),x) = x * (y / x). K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. T(x,L(y \ 1,y,z) \ 1) = T(x,y). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). x != K(y * z,y) | x = K(z * y,y). K(x,y) * a(y,x,y) = K(x * y,y). 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). L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)). K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). T(x,K(y,L(z,u,w))) = T(x,L(K(y,z),u,w)). T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). K(x \ (y \ z),L(y,u,w)) = K((x * y) \ z,L(y,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). 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 \ ((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 != 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 != T(y,L(K(z,u),w,v5)) | x = T(y,K(z,L(u,w,v5))). x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,K(y,L(z,u,w))). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). 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 != T(y * K(z,y),u) * (y \ K(y,z)) | x = (y \ K(y,z)) * T((y \ 1) \ K(z,y),u). K(x,T(y,z)) = (x \ K(x,z)) * T((x \ 1) \ K(z,x),y). (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). (x \ K(x,y)) * T((x \ 1) \ K(y,x),z * u) = K(x,T(T(z,z \ 1) * u,y)). K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). x != (y \ K(y,z)) * T((y \ 1) \ K(z,y),u) | x = K(y,T(u,z)). K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). K(x,T((y \ 1) * z,u)) = K(x,T((1 / y) * z,u)). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). 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)). K(x \ y,x) * z != u * K(x \ y,x) | z = T(u,K(x,y)). T(x,y \ z) = T(T(x,z / y),K(y,z)). T(T(x,y / z),K(z,y)) = T(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 * y != (z * u) * L(T(u,z),w,v5) | x \ ((L(u,w,v5) * z) * u) = y. x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). 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). K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,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). 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)). (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). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). x / 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 != (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). x != y * a(z,y,z) | x = T(z * y,z) / z. (x / L(y,x,y)) * y = T(y * x,y) / y. x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. K(x,y) * (L(T(x,y),z,T(x,y)) \ x) = a(T(x,y),z,T(x,y)). x != y * (L(y,z,y) \ u) | x = T(y,w) * (L(T(y,w),z,y) \ u). x * a(y,z,y) = T(y,u) * (L(T(y,u),z,y) \ x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). x != y * (L(y,z,u) \ w) | x = L(y,z,u) \ (y * w). x * a(y,z,y) = L(y,z,y) \ (y * x). L(x,y,x) \ (x * z) = z * a(x,y,x). K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). (T(x * y,x) / x) \ (y * x) = L(x,y,x). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * y. L(x,y,x) * z = x * (a(x,y,x) \ z). x * (a(x,y,x) \ z) = L(x,y,x) * z. x * y != L(x,z,u) * w | y = L(x,z,u) * (x \ w). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x != y / a(z,u,z) | x = a(z,u,z) \ y. L(x,y,x) * (x \ z) = a(x,y,x) \ z. 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) * L(y,z,y) = a(y,z,y) \ x. K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). T(x,y) * (x \ T(z,x)) = T(T(x,y) * (x \ 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 / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | x = T(y * K(u,z),z). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). (x * y) * L(z * K(u,z),y,x) = (x * (y * z)) * K(u,L(z,y,x)). (x * (y * z)) * K(u,L(z,y,x)) = (x * y) * L(z * K(u,z),y,x). x != (y * z) * L(u,z,y) | x = y * (z * u). (x * (y * z)) * K(u,L(z,y,x)) = x * (y * (z * K(u,z))). x * y != (z * (u * w)) * K(v5,L(w,u,z)) | x \ (z * (u * (w * K(v5,w)))) = y. ((x * (y * z)) / T(L(z,y,x),u)) \ (x * (y * (z * K(u,z)))) = L(z,y,x). K(x,K(y,(z * u) \ ((z * x) * u))) = 1. K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). x != K(y \ (K(z,u) * w),T(z,v5)) | x = K(y \ w,T(z,v5)). K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,(x * y) / z) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,(x * y) / z). K(x,y / z) = K(x,(y * K(u,x)) / z). K(x,(y * K(z,x)) / u) = K(x,y / u). K(x,y / (z / x)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (z / x)). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). K(x,(x * y) / (z * x)) = K(x,y / z). K(x,y / (z * x)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,y / (z * x)). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,T(y,z)) = K(x,T(y,K(u,x) * z)). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * K(u,x))). K(x,T(y,z * K(u,x))) = K(x,T(y,z)). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). K(x,(y * x) / z) = K(x,T(z \ (y * x),y)). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). x != K(y,z) | x = K(L(y,u,y),z). K(x,T(y,z * x)) = K(L(x,u,x),T(y,z)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). 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)). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. K(x,(y / z) \ x) = K(x,T(y \ (z * x),z)). K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = 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. 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,z) * (L(K(u,y),w,v5) * v6) | x = L(K(u,y),w,v5) * (K(y,z) * v6). a(x,y,K(z,u)) * w = L(K(u,z),y,x) * (K(z,u) * w). 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)) * x) = a(y,z,K(w,u)). 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. a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). 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,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). 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)). 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)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),K(u,y) * x). T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). x != y * T(K(z,u),w) | x * T(K(u,z),w) = y. x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. (K(x,y) * 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). x != K(y,K(z,u)) * w | x = K(u,v5) * (K(z,K(u,y)) * (K(u,v5) \ w)). K(x,K(y,z) * K(u,y)) = K(z,w) * (K(y,K(z,x)) * (K(z,w) \ K(x,K(y,u)))). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(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)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | x = K(y,K(z,u) * K(u,R(z,w,v5))). 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))). 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). 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. x != T(y,(z * (1 / u)) \ w) | x = T(y,(z * (u \ 1)) \ w). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). 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)). T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. x * y != z * K(T(u,w),v5) | T(x,y) = y \ (z * K(u,T(v5,w))). T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). T(K(x,y) * z,K(y,u)) = K(y,u) * (K(x,y) * (z * K(u,y))). K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). x != K(y,z) * (K(u,y) * (w * K(z,y))) | x = K(u,y) * T(w,K(y,z)). T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). K(x,y) * T(z,K(y,u)) = T(K(x,y) * z,K(y,u)). T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). T(x,K(y,z)) * 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,T(x,z)),y) != u | T(x,K(y,z)) = u. T(x * K(y,T(x,z)),y) = T(x,K(y,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)). 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. R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). x != R(y,K(z,u),T(w,K(z,u))) | x = R(y,T(K(z,u),w),w). R(x,K(y,z),u) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). 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). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(x \ y,y) * (x \ 1) = (x \ 1) * K(y * (x \ 1),y). (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). x != K(y,K(z \ u,u)) | 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,T(y,z * L(K(u,x),w,v5))) = 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))). x != K(y,T(z,u * (w * y))) | x = K(y,T(z,u * w)). K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). 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)). K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). x != K(y,z / (R(y,u,w) \ v5)) | x = K(y,(z * R(y,u,w)) / v5). K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). x != K(y,((z * u) * R(y,z,u)) / ((w * z) * u)) | x = K(R(y,K(z * u,y) * z,u),w \ y). K(x,(((y * z) * u) / (z * u)) \ R(x,z,u)) = K(R(x,K(z * u,x) * z,u),y \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). x != K(R(y,K(z,y) * u,w),v5) | x = K(R(y,u,w),v5). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(x,T(y,x / z)) = K(x,T(y,z)). 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). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * L(K(u,y),w,v5),K(y,z)). x * y != T((y \ z) * y,u) | x = y \ T(z,u). 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)). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,y \ z) = T(x,(K(u,x) * y) \ z). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). 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)). L(T(x,(y * z) \ (x \ 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 * y) \ (z \ u),L(z,w,v5)) = v6. x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). 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)). 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. T(x,T(x,y) / z) = T(x,z \ x). T(x,T(y,x \ z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). x != T(y,T(z,u) \ 1) | x = T(y,u \ (z \ u)). T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). x != T(y,T(z,u) \ 1) | x = T(y,(z * u) \ u). T(x,T(y \ 1,z)) = T(x,(y * z) \ z). T(x,T((y / z) \ 1,y)) = T(x,y \ z). 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. 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),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,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). x != T(y,T(z,y \ u)) | x = T(y,T(z,u / y)). T(x,T(y,z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,z)). T(x,(x \ y) \ z) = T(x,T(z / (x \ y),y)). T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). x != T(y,(y \ z) \ u) | x = T(y,z \ (y * u)). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | 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. 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. a(x,T(y,x),x) != z | a(x,y,x) = z. (K(x \ y,z) * u) \ (1 * u) = K(z,((y \ x) * u) \ (1 * u)). (K(x \ y,z) * u) \ u = K(z,((y \ x) * u) \ (1 * u)). K(x,((y \ z) * u) \ (1 * u)) = (K(z \ y,x) * u) \ u. x != (K(y,z) * u) \ u | x = K(z,T(y,u)). K(x,((y \ z) * u) \ (1 * u)) = K(x,T(z \ y,u)). K(x,((y \ z) * u) \ u) = K(x,T(z \ y,u)). x != K(y,T(z \ u,u)) | x = K(y,u / z). K(x,((y \ z) * y) \ y) = K(x,y / z). x != K(y,(z * u) \ u) | x = K(y,T(z \ 1,u)). K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. x != K(y,T(z,u)) | x = L(K(y,T(z,u)),z,w). K(x,T((y \ z) \ 1,u)) = L(K(x,T(z \ y,u)),z \ y,w). L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,y)) = K(x,y / z). x != K(y * z,T(y,u)) | x = K(z * y,T(y,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T((x \ y) \ 1,u)). K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = 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,y \ ((z \ u) \ y)) != w | K(x,T(u \ z,y)) = w. K(x,((y \ z) * u) \ u) != w | K(x,T(z \ y,u)) = w. K(x,(y * z) \ z) != u | K(x,T(y \ 1,z)) = u. K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = 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 * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,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)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). (x * K(y,z / y)) / (z / y) = x / (y \ z). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). (x / 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,K(z,u))) / K(y,z) = x / T(K(y,z),u). (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). 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(1 / x,K(y,z)) = K(x,K(y,z)). K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). K(x,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)). K(x,T(y,K(z,x) * u)) = T(K(x,y),u). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. (x * 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). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). x != y * a(z,u,z) | x = a(z,u,z) * y. R(x * a(y,x,y),z,u) = a(y,R(x,z,u),y) * R(x,z,u). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). x != 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). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | x = (y * K(z,u)) * (K(u,z) * w). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). T(x,K(y \ z,y)) = T(x,K(z,y)). T(x,y * K(L(x,z,u),w)) = T(x,y). T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (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 * 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) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y * z) \ ((T(u * y,u) / u) * z) | x = R(a(u,y,u),y,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). 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))). x != K(y,T(z,L(z,u,w) * (z \ v5))) | x = K(y,T(z,L(z,u,w) * v5)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,T(y \ (x * z),u)) = K(x,T(y \ (z * x),u)). K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,(y / z) \ x) = K(x,T(y \ (x * z),z)). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). x != K(y,(z / u) \ y) | x = K(y,u / (y \ z)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. x != T(y,T(z / (y \ u),u)) | x = T(y,u \ (y * z)). 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)). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). x != K(y,z) * K(y * z,y) | x = y \ R(y,z,y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). x * y != (T(z * u,z) / z) / u | (z \ R(z,u,z)) / y = x. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. x != (y \ R(y,z \ 1,y)) / (T(y * (z \ 1),y) / y) | x = R(z,z \ 1,y \ R(y,z \ 1,y)). x = R(x,x \ 1,y \ R(y,x \ 1,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). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). 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). a(x,y,K(z,u)) * w != v5 | w = a(x,y,K(u,z)) * v5. a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). R(x,y,K(z,x)) = x. x * y != (z * u) * K(w,z) | (z * (u * K(w,z))) / y = x. (x * (y * K(z,x))) / x = (x * y) / T(x,z). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (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)). K(x / y,T(z,u)) = K(y \ x,T(T(z,y),u)). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). T(K(x,y),z * K(u,x)) = T(K(x,y),z). 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)))). 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,K(z,T(x,u))) = x. L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). K(x,K(y,1 / y) * z) = K(x,z). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). x != K(y,(z \ y) \ y) | x = K(y,z). K(x,x * (1 / (y \ x))) = K(x,y). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). L(x,y,K(z,y)) != u | u = x. L(x,K(y,z),z) != u | u = x. 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. x / T(y \ 1,y * x) = (y \ 1) \ x. R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). x != L(K(y,T(z,u)),u,L(z,w,v5)) | x = K(y,T(z,L(z,w,v5) * u)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) * z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). 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)). L(x,y,z) * (u * K(w,T(x,u))) = L(K(w,x),u,L(x,y,z)) * (L(x,y,z) * u). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,u / z)) | x = K(y,T(z \ y,z \ u)). K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,z \ u)) | x = K(y,(u / (u / z)) \ y). K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). x != K(y,((y * z) / u) \ y) | x = K(y,u / z). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). x != K(y,z / R(T(y,u),w,v5)) | x = K(y,R(y,w,v5) \ z). K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. L(K(x,y),z,T(y,u)) = K(x,y). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). x != K(y \ (T(z,u) \ w),z) | x = K(y \ (z \ w),z). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). 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). 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)). T(x,y / (x \ z)) = T(x,(z / y) \ x). K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). x * y != K(z,u) * R(z,w,R(z,v5,v6)) | x \ R(T(z,u),w,R(z,v5,v6)) = y. x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * (x \ R(x,z,R(x,u,w))). K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x != T(y,y \ z) \ R(T(u,u \ w),v5,v6) | x = ((y \ z) \ z) \ R((u \ w) \ w,v5,v6). a(x,y,R(x,z,u)) = ((x \ w) \ w) \ R((x \ w) \ w,y,R(x,z,u)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. (R(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) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). 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). 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)). 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). 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 != 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). 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). x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). T(x,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). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). T(x,K(y,z)) = T(x,K(y,z \ y)). T(x,K(y,z \ y)) = T(x,K(y,z)). 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). (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 * L(K(y,z),u,w) = (x * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). x != T(y,z) * z | x = y * ((y * z) / y). (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). K(T(x,y),z) = K(T(x,y * x),z). K(T(x,y * x),z) = K(T(x,y),z). 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). K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. x * ((y * x) \ z) = T(x,y) * ((x * y) \ z). T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(x,y,T(x,z)) != u | L(x,y,x) = 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(x,y) * (L(T(x,y),z,x) \ x) = a(T(x,y),z,T(x,y)). K(x,y) * (K(y,x) * a(x,z,x)) = a(T(x,y),z,T(x,y)). a(T(x,y),z,T(x,y)) = a(x,z,x). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != 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,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(K(x,w) \ T(T(x,w),T(y,w)),z,u)) * v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. x != (R(T(y,z),u,w) * K(y,v5)) * v6 | x = R(T(y,z),u,w) * (K(y,v5) * v6). (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). x != R(K(y,z / u),z,u \ 1) | x = K(y,z * (u \ 1)). K(x,R(T(x,y),z,u) / w) = K(x,R(T(x,y),z,u) * (w \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). x != K(y,R(T(y,z),u,w) / v5) | x = K(y,v5 \ R(T(y,z),u,w)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). x != K(y,R(T(y,z),u,w) * v5) | x = K(y,R(y,u,w) * v5). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). K(x,y \ R(x,z,u)) = K(x,R(x,z,u) * (y \ 1)). K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). x != K(y,R(y,z,u) * (w \ 1)) | x = K(y,w \ R(T(y,v5),z,u)). K(x,y \ R(x,z,u)) = K(x,y \ R(T(x,w),z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. x != K(y,z) * ((z * R(y,u,w)) * y) | x = (y * z) * R(y,u,w). (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). x != K(K(y,z) * (u * y),w) | x = K(u * T(y,z),T(w,K(y,z))). K(x * R(y,z,u),T(y,w)) = K(x * T(R(y,z,u),v5),T(T(y,w),K(R(y,z,u),v5))). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). 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 != 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)). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). x != K(y,K(z,L(u,w * u,v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). 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 \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,x \ z)) = K(x,K(y,z)). K(x,K(y,z)) = 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)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). 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)). K(x \ 1,y) = K(L(x,z,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)). R(x,y,K(x \ 1,z)) = x. T(x,y) = R(T(x,y),z,K(x \ 1,u)). R(T(x,y),z,K(x \ 1,u)) = T(x,y). K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. 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. (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. K(x,T(x \ y,z)) * u = K(x,K(y,z)) * (K(x,x \ y) * u). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. (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). x != T(T(y,z),K(u,w)) | x = T(T(y,K(w,u)),z). 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(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)). T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ 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. x != K(y,y \ 1) * (z / u) | x = z / (u * K(y \ 1,y)). (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). K(x,x \ 1) / y = 1 / (y * K(x \ 1,x)). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. (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)). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | 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 / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). (x / (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 / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). x != y * (z * K(y,z)) | x = T(y,z) * z. (x / (x * y)) \ T(x,y) = T(x,y) * y. ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). x * y != T(z,u) * K(u,z) | z / y = x. x / y = (T(x,y \ 1) / y) * K(y \ 1,x). (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). 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 / (1 / y)) * (z / (1 / (1 / y))) | x = y * (z / y). x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (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). 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,y * x) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). x != R(T(y,z),u,K(y \ 1,w)) | x = T(y,z). T(x,y) = T(x,y * K(x \ 1,z)). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). T(x,K(x \ 1,y) * z) = T(x,z). T(x \ 1,K(x,y) * z) = T(x \ 1,z). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). T(x,T(y,x \ 1) \ z) = T(x,y \ z). T(x \ 1,x * y) = T(x \ 1,y * x). T(x \ 1,y * x) = T(x \ 1,x * y). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). 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). K(x,y * K(x \ 1,z)) = K(x,y). K(x,y) = K(x,y / K(x \ 1,z)). K(x,y / K(x \ 1,z)) = K(x,y). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). K(x,K(x \ 1,y) * z) = K(x,z). K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). x != K(y,(z * (y \ 1)) \ (y \ u)) | x = K(y,z \ u). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). x != K(y,((y \ 1) * z) \ (y \ u)) | x = K(y,L(z,y \ 1,y) \ u). K(x,y \ z) = K(x,L(y,x \ 1,x) \ z). K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * (y \ u)) \ (y \ w)) | x = K(y,(z * u) \ w). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != K(y,(z * ((y \ 1) * u)) \ w) | x = K(y,(z * (y \ u)) \ w). K(x,(y * z) \ (u * x)) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). 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)). x != K(y,(z * (y \ u)) \ w) | x = L(K(y,u \ ((z \ w) * y)),z \ w,z). K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). K(x,((x \ y) * z) \ u) = K(x,((z * K(x \ y,z)) * y) \ (u * x)). K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). 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))). x != K(y,T(z,u * (w / y))) | x = K(y,T(z,u * w)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). 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). L(K(x,x \ y),y,x \ z) = K(x,x \ y). K(x,(x \ 1) * y) = K(x,x \ y). L(K(x,x \ y),y,z) = K(x,x \ y). x * L(K(y,y \ z),z,u) != K(y,y \ z) | 1 = x. 1 = a(x,y,K(z,z \ y)). a(x,y,K(z,z \ y)) = 1. 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). x != L(K(y \ z,u),z,y \ 1) | x = K((1 / y) * z,u). K(x \ y,x) = K((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). K(x \ (y \ z),y) = K(y \ (x \ z),y). (x * y) * K(z \ y,z) = x * ((z \ y) * z). R(x,y,K(z \ y,z)) = x. (x * K(y \ z,y)) / ((y \ z) * y) = x / 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 * K(z,u) | x = K(z,T(u,y)) * y. x * (y * z) = K(y,T(z,x * (z * y))) * (x * (z * y)). K(x,T(y,z * (y * x))) * (z * (y * x)) = z * (x * y). ((x * y) * z) * K(z,y) = R(x,y,z) * (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 * y) * T(z,y) = R(x,y,z) * (z * y). R(x,y,z) * (z * y) = (x * y) * T(z,y). (x * T(y,z)) / (y * z) = R(x / z,z,y). K(L(x,y,z),y) = K(x,y). x != K(y,L(z,y,((z * y) * u) / (z * y))) | x = L(K(y,z),u,z * y). K(x,y) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,y). x != K(y,L(y \ z,y,u)) | x = K(y,u \ (y \ (u * z))). K(x,x \ y) = K(x,z \ (x \ (z * y))). K(x,y \ (x \ (y * z))) = K(x,x \ z). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). (x * (y * z)) * K(y,z) = x * (y * (z * K(y,z))). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). 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). (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. x * y != (z * u) * (K(u,z) * w) | x \ ((u * z) * w) = y. K(x,y) \ ((x * y) * z) = (y * x) * z. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * z = (x * y) * ((y * x) \ z). (x * y) * ((y * x) \ z) = K(x,y) * z. (x * y) * ((y * x) \ 1) = K(x,y). (K(x,y) * z) / ((y * x) \ z) = x * y. K(x \ y,x) * (y * z) = ((x \ y) * x) * z. K(x,y / x) * (y * z) = (x * (y / x)) * z. K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). ((x * y) * z) \ (K(x,y) * ((y * x) * (z * u))) = L(L(u,z,y * x),(y * x) * z,K(x,y)). (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). (x * y) \ ((x * y) * z) = L(z,y * x,K(x,y)). K(x,T(y,(x * z) * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). x = L(x,y * z,K(z,y)). L(x,y * z,K(z,y)) = x. L(x,T(y,z),z) = L(x,y,z). x != L(L(y,z,u),u * z,K(z,u)) | x = (z * u) \ (u * (T(z,u) * y)). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). L(x,y,K(z \ y,z)) = x. L(x,T(y,z) * z,K(z,y)) = x. x != L(T(y,T(z,u)),T(z,u),u) | x = (z * u) \ (u * (y * T(z,u))). L(T(x,T(y,z)),y,z) = (y * z) \ (z * (x * T(y,z))). (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),x,y). x != L(T(y,z) \ u,T(y,z),z) | x = (y * z) \ (z * u). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). (x * y) * L(z,x,y) = y * (T(x,y) * z). L(x,T(y,T(z,u)),z) = L(x,T(y,K(z,u)),z). 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)). x != K(y,R(z,y,u)) | x = K(R(y,z,u),z). K(x,y) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,y). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). K(1 / x,y * x) = K(1 / x,y / (1 / x)). K(1 / x,y / (1 / x)) = K(1 / x,y * x). x * K(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = x * K(x,y). K(x,T(y,z)) * (z * (y * x)) = z * (x * y). (x * (y * z)) \ ((x * z) * T(y,z)) = L(a(x,z,y),x * (z * y),K(y,T(z,x))). L(a(x,y,z),x * (y * z),K(z,T(y,x))) = (x * (z * y)) \ ((x * y) * T(z,y)). L(a(x,y,z),x * (y * z),K(z,T(y,x))) != u | a(x,y,T(z,y)) = u. 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)). T(x,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 * 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 != K(y,z) * z | x = z * K(y,z). (x * y) * ((y * x) \ y) = y * K(x,y). (((x \ y) * z) * x) * a(x,x \ y,z) = K((x \ y) * z,x) * (y * z). K(x \ y,x) * (z * y) = ((x \ y) * x) * T(z,y). ((x \ y) * x) * T(z,y) = K(x \ y,x) * (z * y). x != K(y \ z,y) * (z * T(u,T(z,y))) | x = (u * z) * K(y \ z,y). ((x \ y) * x) * T(z,T(y,x)) = (z * y) * K(x \ y,x). ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. ((x \ y) * x) * z != (u * y) * K(x \ y,x) | T(u,(x \ y) * x) = z. T(x,(y \ z) * y) = T(x,T(z,y)). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). T(x,T(y * z,u)) = T(x,T(T(z * y,u),z)). T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). T(x,T(y * z,y)) = x * K(x,z * y). x != T(T(y,z),T(u,z)) | x = K(y,z) * T(y,u). T(T(x,y),z * y) = K(x,y) * T(x,y * z). K(x,y) * T(x,y * z) = T(T(x,y),z * y). K(x,y) * z != T(T(x,y),u) | z = T(x,T(u,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)) = 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). 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)). K(x,T(y * z,y)) = K(x,z * y). K(x,y * z) = T(K(x,z * y),z). T(K(x,y * z),y) = K(x,z * y). T(x,y) * z != T(T(x,y),T(u,y)) | z = K(x,u). K(T(x,y),z * y) = K(x,y * z). T(x,T(y * z,y)) != u | T(x,z * y) = u. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. T(x,y * z) = T(T(x,z * y),K(z,y)). T(T(x,y * z),K(y,z)) = T(x,z * y). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. 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,y * z),K(y,z)) != u | T(x,z * y) = u. L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). L(x,y / T(z,z \ u),(z \ u) \ u) = L(x,((z \ u) \ u) \ y,(z \ u) \ u). L(x,((y \ z) \ z) \ u,(y \ z) \ z) = L(x,u / T(y,y \ z),(y \ z) \ z). (x * (T(y,x) * z)) / L(z,y,x) = y * x. (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). x != L(y,z \ u,z) | x = L(y,u / z,z). L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). x != K((y \ z) \ (y \ u),y) | x = K(z \ u,y). K(x \ ((x \ y) \ z),x) = K(y \ z,x). x != R(K(y,(z / (u / w)) \ y),u / w,w) | x = K(y,u / ((y \ z) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). (x * ((x \ y) / z)) \ y = L(z,z \ (x \ y),x). L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(x,T(y * z,z)) = K(x,z * y). K(x \ y,x * z) = K(y / x,z * x). K(x / y,z * y) = K(y \ x,y * z). K(T(x,y),y * z) = K(x,z * y). K(x / y,y * z) = K(y \ x,z * y). K(x / y,x * z) = K(y \ x,z * x). x != K(y \ 1,T(z,u)) | x = K(u \ (y \ u),z). K(x \ 1,y * z) = K(z \ (x \ z),z * y). K(x \ (y \ x),x * z) = K(y \ 1,z * x). x != K(y,T(z,L(y,u,w))) | x = K(y,z). K(x,y * L(x,z,u)) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = K(x,u * L(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,T(y * z,z)) = K(x,T(y,z) * z). K(x,T(y,z) * z) = K(x,T(y * z,z)). x * K(y,z * x) = K(y,x * z) * x. K(x,y * z) * y = y * K(x,z * y). K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. K(x,T((y \ z) * y,y)) = K(x,z). T(K(x,y * z),y) != u | K(x,z * y) = u. x / K(y,x * z) = T(x,K(y,z)) * K(z * x,y). T(x,K(y,z)) * K(z * x,y) = x / K(y,x * z). K(x / y,y * z) != u | K(y \ x,z * y) = u. T(x,K(y,z)) * K(z * x,y) = x * K(x * z,y). x != T(y,K(z,u)) * K(u * y,z) | x = K(u * y,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) = K(y * x,T(z,y)). K(x * y,T(z,x)) = K(y * x,z). K(x * y,T(z,y)) = K(y * x,z). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). x != K(y,T(z,1 / z)) | x = K(y,z). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(x,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,x \ z) = K(y * x,z / x). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x * y,T(z,y)) != u | K(y * x,z) = u. K(((x \ y) * x) * z,T(u,(x \ y) * x)) = K((z * y) * K(x \ y,x),u). K(x * y,(x / z) \ 1) = K(y * x,x \ z). K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. K(x * y,T(z,x)) != u | K(y * x,z) = u. K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. 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,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). 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)). 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). K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). K(x,T(y * x,z)) = K(x,T(x * y,z)). K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). K(L(x,y,z),y) != u | K(x,y) = u. K(x,L(y,x,z)) != u | K(x,y) = u. K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. L(K(x,y),z,y * x) != u | K(x,y) = u. K(x,R(y,x,z)) != u | K(x,y) = u. ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. K(R(x,y,z),y) != u | K(x,y) = u. 1 / (x \ K(y \ z,x)) = T(x,x \ ((x \ y) \ z)). T(x,x \ ((x \ y) \ z)) = 1 / (x \ K(y \ z,x)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != L(y \ z,(y \ z) \ z,y \ z) | x = T(z / y,z). L(x \ y,x,x \ y) = T(y / x,y). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),x * u) = K(L(x,y,z),u * L(x,u,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x * L(K(y,y * z),z,u) != K(y,y * z) | 1 = x. 1 = a(x,y,K(z,z * y)). a(x,y,K(z,z * y)) = 1. 1 / L(K(x,x * y),y,z) = K(x * y,x). a(x,y,K(z,y * z)) = 1. 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) = 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) * z),z) | x = K(y \ u,z). K(x * (y \ (x \ z)),x) = K(y \ z,x). K(x * (y \ z),x) = K((y / x) \ z,x). K((x / y) \ z,y) = K(y * (x \ z),y). x != K(y,(z * (y \ 1)) \ 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)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). (x * (y * z)) * K(y,z) = x * (T(y,z) * z). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). x != T(y,z / y) | 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). K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). T(x,T(y * z,z)) != u | T(x,z * y) = u. T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. K(x * y,x \ 1) = K((x \ 1) \ y,x \ 1). K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). (x * y) * K(z,z \ y) = x * (z * (y / z)). x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). R(x,y,y \ z) = R(x,y,z / y). R(x,y,z / y) = R(x,y,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)). x != R(1 / y,y,y \ z) | x = (y \ z) / z. R(1 / x,x,y / x) = (x \ y) / y. (x / y) / (y * (x / y)) = (y \ x) / x. K(x,((y \ z) / z) \ (x \ 1)) = K(x,(y * (z / y)) / ((z / y) * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). x != K(y,(z / u) \ (y \ 1)) | x = K(y,u / (z * y)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). x != K(y,(z * u) / (u * y)) | x = K(y,R(y \ z,y,u)). K(x,y / ((z \ y) * x)) = K(x,R(x \ z,x,y / z)). K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,(y * z) / (u * y)) | x = K(y,z / u). K(x,x \ ((x * y) / z)) = K(x,y / z). K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). x != K(y,z / (((y \ u) * y) * w)) | x = K(y,z / (u * w)). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). x != K(y,y \ ((y * z) / u)) | x = K(y,z / u). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. K(x,(x * y) / (z * x)) != u | K(x,y / z) = u. K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. x != K(y,z) | x = y \ T(y,z). K(x,y / (x * z)) = x \ T(x,x \ (y / z)). x \ T(x,x \ (y / z)) = K(x,y / (x * z)). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (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 \ 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,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). T(T(x,K(y,z)),y * z) = T(x,z * y). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). x != K(y / z,L(z,u,w)) | 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)). x != K(y \ ((y \ (1 / L(y,z,u))) \ w),L(y,z,u)) | x = K((1 / y) \ w,L(y,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)). T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). 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)). T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,y) = x * R(y,z,L(y,x,u)). x * R(y,z,L(y,x,u)) = x * R(y,z,y). R(x,y,x) = R(x,y,L(x,z,u)). R(x,y,L(x,z,u)) = R(x,y,x). x != R(y,z,y) | x = T(y * K(z * y,y),z). R(x,y,L(x,z,u)) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). K(R(x,y,L(x,z,u)),w) = K(x,w). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,y) = x * a(y,z,y). x != (y / z) * R(z,u,z) | x = R(z,u,z) * (z \ y). x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). x * y != (x / z) * R(z,u,z) | y = a(z,u,L(z,w,v5)). a(x,y,x) = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = a(x,y,x). x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). x != y * R(z,y,z) | x = T(z * y,z). (x * y) * a(y,x,y) = T(y * x,y). x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). x * y != (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 * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). a(x,y,x) * (y * x) = T(x * y,x). 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 * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). L(x,y,K(z,z \ y)) = x. K(x * y,1 / y) = K(x / (1 / y),1 / y). K(x / (1 / y),1 / y) = K(x * y,1 / y). x != 1 | x = y \ y. a(x,y,K(z,y * z)) = u \ u. x * a(y,z,K(u,z * u)) != w \ w | 1 = x. 1 = a(x,y,K(y * z,z)). a(x,y,K(y * z,z)) = 1. a(x,y,K(z,y * z)) != u | 1 = u. 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 * T(K(y \ z,y),z)) = K(T(x,y \ z),y). T(x,(x \ y) * T(x,z)) = T(x,y). x != T(K(y,z),y * u) | x = K(y,T(z,u)). K(x,y / (x * z)) = K(x,T((x * z) \ y,z)). K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). K(x * y,z / y) != u | K(y * x,y \ z) = u. K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). T((x \ y) \ 1,x) = T((x \ y) \ 1,T(x,y)). T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). K(x * T(y,z),T(u,y)) = K(T(y,z) * x,T(u,K(y,z))). K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. T(x,K(y,z / y)) = T(x,K(y,y * z)). (K(x,y) / x) \ 1 = x * K(y,x). 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z). K(x * L(y,z,u),y) = K(y * x,y). x != K((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),y) != w | K(x \ y,y) = w. 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). x != K((y \ z) \ u,u) | x = K(u * (z \ y),u). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). x != K((y \ z) \ z,z) | x = K(y,z). K(x \ (y * L(x,z,u)),x) = K(y,x). K(x \ (y * (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(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). 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). L(K(x,y),z,u) = K(L(y,z,u),x) \ 1. K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). 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,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,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,w) | x = K((w * (u / y)) \ (w * u),z). K(x,L(y,z,u)) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). 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)). x != L(K(y,z \ u),u,w) | x = K(y,(w * z) \ (w * u)). K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). 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)). K(x \ 1,L(y,z,u)) = K(L(x,z,u) \ 1,y). K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). x * L(K(x,y),z,u) = T(x,L(y,z,u)). L(K(x,y \ z),u,w) = K(x,L((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). L(K(x,y),z,u) = K(x,L(L(y,w,y),z,u)). K(x,L(L(y,z,y),u,w)) = L(K(x,y),u,w). L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). L(K(x,y \ 1),z,u) = K(x,L((w * y) \ w,z,u)). K(x,L((y * z) \ y,u,w)) = L(K(x,z \ 1),u,w). x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. 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). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(x,y) != a(z,u,K(x,y)) * w | K(x,L(y,u,z)) = w. a(x,y,K(z,u)) * w != K(z,u) | K(z,L(u,y,x)) = w. 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. x != K(y,z) * a(u,w,K(z,v5)) | x = a(u,w,K(z,v5)) * K(y,z). K(x,L(y,z,u)) = a(u,z,K(y,x)) * K(x,y). a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). 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)) * 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. 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). K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. L(K(x,y),z,u) = K(L(x,z,u),y). 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)). L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). K(L(x,y,z),u) * w = K(x,L(u,y,z)) * w. 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)). 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). 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)). K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). K(x,L(y,z,u)) * L(x,z,u) = T(L(x,z,u),y). 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. K(x / L(y,z,u),y) = K(y \ x,y). x != K(y \ z,y) | x = K(z / y,y). K(x / L(y,z,u),y) = K(x / y,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. K((x * (y / z)) \ (x * y),u) != w | K(z,L(u,y,x)) = w. K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = 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. a(x,y,K(z,u)) = a(x,y * u,K(z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). x * y != z * K(u,L(T(w,z),v5,v6)) | x \ (K(u,L(w,v5,v6)) * z) = y. x \ (K(y,L(z,u,x)) * (x * u)) = u * K(y,T(z,x * u)). x * y != (z * u) * K(w,L(v5,u,z)) | x \ (z * (u * K(w,v5))) = y. ((x * y) / z) \ (x * (y * K(z,u))) = T(z,L(u,y,x)). (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) / 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)). K(x * y,z) = K((x \ 1) \ y,L(z,y,x)). K((x \ 1) \ y,L(z,y,x)) = K(x * y,z). (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 != 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 != 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 \ y) * x) \ (K(z,L(u,T(w,y),(x \ y) * x)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((x \ y) * x) * T(w,y))). ((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)). 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 * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != (y * (z * R(u,w,u))) / (y * (z * u)) | x = L(a(u,w,u),z * u,y). a(L(x,y,z),u,L(x,y,z)) = L(a(x,u,x),y * x,z). L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). 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). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. x * (y * a(x,z,x)) = R(x,z,x) * y. x * (a(x,y,x) * z) = R(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. ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. R(x,y,L(x,z,u)) != w | R(x,y,x) = w. T(x,T(y,z) * z) = T(x,T(y * z,y)). T(x,T(y * z,y)) = T(x,T(y,z) * z). 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 \ 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. x != L(T(y,z),u,T(y,w)) | x = L(T(y,z),u,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). (x * 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). 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). x != (y * R(z,u,z)) / (y * z) | x = a(z,u,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 * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ (y * z),x) != u | K(y * (x \ z),x) = u. K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(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). (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)))). (x * y) \ K(z,y * x) != u | T(x * y,T(z,x)) \ 1 = u. K(x,x \ y) * (y * z) = (x * (y / x)) * z. K(((x \ y) * x) * z,T(u,T(y,x))) = K((z * y) * K(x \ y,x),u). 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). (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 != (z * (u / z)) * w | T(x,y) = y \ (K(z,z \ u) * (u * w)). T(K((x * (y / x)) * z,u),x * (y / x)) = (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))). (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),x * (y / x)). x != T(y,z * (u / z)) | x = T(y,T(u,z)). (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),T(y,x)). (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). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). x != R(L(y,z,u),w,v5) | 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)). x != y \ R(y,z,L(y,u,w)) | x = a(y,z,L(y,u,w)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). x != a(y,y \ z,L(T(y,y \ z),u,w)) | x = (L(y,u,w) * z) \ (z * L(T(y,y \ z),u,w)). a(x,x \ y,L(x,z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). x != (L(y,z,u) * w) \ (w * L(T(y,v5),z,u)) | x = K(w,L(y,z,u)) * K(L(y,z,u),v5). a(x,x \ y,L(x,z,u)) = K(y,L(x,z,u)) * K(L(x,z,u),x \ y). K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). 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. x * y != (z * u) * ((u * z) \ 1) | x \ K(z,u) = y. x \ K(y,y \ x) = ((y \ x) * y) \ 1. ((x \ y) * x) \ 1 = y \ K(x,x \ y). 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 * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). T(x,y * K(z \ 1,y * z)) = T(x,T(y,z \ 1)). x != T(y,T(z,u \ 1)) | x = T(y,T(z,u)). T(x,y * K(z \ 1,y * z)) = T(x,T(y,z)). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). K(x * y,x \ 1) = K(y * x,x \ 1). K(x * y,y \ 1) = K(y * x,y \ 1). 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). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,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(y,x * z) != u | u = K(y,z * x). K(x,K(y,z)) * K(y,x * z) != u | K(y,z * x) = u. 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) / (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). (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 \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). x != T(y,z \ (y \ u)) | x = T(y,(y * z) \ u). T(x,y \ (x \ z)) = T(x,(x * (z \ y)) \ 1). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). x * y != K(z,K(u,w) * K(w,v5)) | K(K(w,u) * K(v5,w),z) / y = x. K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). x != K(K(y,z) * K(u,y),w) | x = K(w,K(y,z) * K(u,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) * K(w,z)) | x = K(y,K(u,z)) * K(y,K(z,w)). K(x,K(y,z) * K(z,u)) = K(x,K(y,z)) * K(x,K(z,u)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). x != K(y,((z \ 1) * u) \ w) | x = K(y,((1 / z) * u) \ w). K(x,((x \ y) * z) \ u) = K(x,((1 / (K(z,x \ y) / z)) * y) \ (u * x)). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K(x,y) != z | K(x,(y \ 1) \ 1) = z. K(x,y \ (y / z)) != u | K(x,z \ 1) = u. K(x,(y * z) \ y) != u | K(x,z \ 1) = u. K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. x * K(x,y \ 1) = T(x,L(y,x \ 1,z) \ 1). T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). x != T(y,(y * (z \ u)) \ 1) | x = T(y,u \ (y \ z)). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(((x * 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). K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). x \ T(x * K(y,z),x) = K(y,x / T(z \ x,x)). x \ T(x * K(y,z),x) = K(y,T(x / z,x) \ x). K(x,T(y / z,y) \ y) = K(T(y / x,y) \ y,z). K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). x != T(y,T(z,y) \ u) | x = T(y,z \ u). T(x,(y * x) \ z) = T(x,y \ (x \ z)). T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). x != T(y,L(z,y,u)) | x = T(y,z). T(x,y \ (x \ (y * z))) = T(x,x \ z). T(x,y \ (x \ z)) = T(x,x \ (y \ z)). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). 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). 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). x != K(y,L(z,u,w)) * K(L(z,u,w),z \ y) | x = a(z,z \ y,L(z,u,w)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). x != K((y * z) \ u,y) | x = K(z \ (y \ u),y). K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),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). K((x \ 1) \ y,z) = K((x \ z) \ (y * z),z). K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | 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))). x != y \ T(y * K(z,u),z) | x = K(y,z) * K(z,u). 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,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). x != a(y,z,K(u,u * w)) | x = a(y,z,K(w \ 1,u * w)). a(x,y,K(z,u)) = a(x,y,K(u \ 1,z * u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). x != a(y,z,K(u \ 1,w * u)) | x = a(y,z,K(w,u)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). x != a(y,z,K(u,z)) | x = 1. a(x,y,K(y \ 1,z)) = 1. 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)). x * a(y,z,K(z \ 1,u)) != w | w = x. (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). (x * (K(y,z) * K(z,u))) \ x = K(u,z) * K(z,y). x / (K(y,z) * K(z,u)) != w | w = x * (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). x != K(y * z,u) * (z * y) | x = K(z,y) * T(y * z,u). 1 / T(K(x,y) * K(y,z),u) = K(K(z,y),K(y,x)) * T(K(y,x) * K(z,y),u). K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). 1 * T(K(x,y) * K(z,x),u) = 1 / T(K(y,x) * K(x,z),u). 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). T(K(x,y) * K(y,z),u) \ 1 != w | w = T(K(y,x) * K(z,y),u). T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. (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 \ 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 \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x \ 1,y) = K(x \ ((z \ 1) * z),y). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). x != K((y * z) \ (y * u),w) | x = L(K(z \ u,w),u,y). K(((x \ 1) * y) \ 1,z) = L(K(y \ x,z),x,x \ 1). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). x != K((y * z) \ (y * u),w) | x = K(z \ u,L(w,u,y)). K(((x \ 1) * y) \ 1,z) = K(y \ x,L(z,x,x \ 1)). K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). (1 / (x \ y)) * (x \ T(y,z)) = K((((x \ y) \ 1) * (x \ 1)) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). x != K(y,T(z,(y * u) * w)) | x = K(y,T(z,u * w)). 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 != R(T(y,z),u,y) | x = R(T(y,z),u,T(y,w)). (x \ y) \ y = R(T(x,y),x \ y,T(x,z)). R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. 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). K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x != K(y,K(z,u)) / u | x = 1 / T(u,K(y,z)). T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). T(x,x \ ((x \ y) \ z)) = T(x,y \ z). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). 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 != T(y,y \ z) \ u | x = ((y \ z) \ z) \ u. x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. x != T(y,T(z,u)) | x = (u * T(y,z)) / T(u,y). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) / T(K(y,z),x). (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). (K(x,y) * T(z,u)) * K(y,T(x,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). x != (K(y,z) * u) * K(z,w) | x = K(y,z) * (u * K(z,w)). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). T(x,T(y,K(z,u))) = K(z,u) * (K(x,y) * (K(u,z) * x)). K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). T(K(x,y) * K(y,z),u) = T(K(y,z) * K(x,y),T(u,K(y,z))). T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). 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 * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. x * y != z * (L(z,u,w) \ 1) | (L(z,u,w) \ z) / y = x. (L(x,y,z) \ x) / x = L(x,y,z) \ K(x,L(x,y,z) \ 1). L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. x != 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)). (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 * y != (1 / z) * ((u * z) / u) | x \ K(u,z) = y. (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. x * y != (z \ T(u,z)) * ((z \ u) \ 1) | K(u,z) / y = x. K(x,y) / (y \ T(x,y)) = ((y \ x) \ 1) * K(y \ T(x,y),(y \ x) \ 1). ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = K(y,x) / (x \ T(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). K(x \ 1,y) = K(R(x,z,x) \ 1,y). K(R(x,y,x) \ 1,z) = K(x \ 1,z). K(x \ 1,y) * (z * x) = (K(x \ 1,y) * z) * x. (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). L(x,y,K(x \ 1,z)) = x. L(x \ 1,y,K(x,z)) = x \ 1. (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). R(K(x,y),z,x \ 1) = K(x,y). (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). (x \ 1) * y != K(x,z) * (u * (x \ 1)) | T(K(x,z) * u,x \ 1) = y. T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). K(x,y) * T(z,x \ 1) = T(K(x,y) * z,x \ 1). K(x,y) * L(T(z,x \ 1),u,w) = T(K(x,y) * L(z,u,w),x \ 1). x * K(x * (y \ 1),y) = (y \ x) * y. K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K(T(x * K(y \ z,x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). x != K(y,T(z,T(u,y) \ w)) | x = K(y,T(z,u \ w)). K(x,T(y,z \ u)) = K(x,T(y,(u \ (x * z)) \ x)). K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). x != K(y,T(z,(u \ w) \ y)) | x = K(y,T(z,w \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,(x \ z) \ u)) = K(x,y) * K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,y) * z != K(x,T(y,u)) | z = K(x,K(y,u)). K(x,K(y,z \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). x != K(y,K(z,u \ (y \ w))) | x = K((T(y,v5) * u) \ w,K(y,z)). K(x,K(y,z \ u)) = K((T(x,w) * u) \ z,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). x != K(y,K(z,L(u,w,K(y,v5)))) | x = K(z,K(y,u)). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(z,u \ (z \ w))) | x = K(y,K(z,u \ w)). K(x,K(y * z,a(y,z,u))) = K(x,K(y * z,u \ L(u,z,y))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). (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)) = (L(x,u,w) \ 1) * x. x != K(y \ 1,L(y,z,u)) * (w / L(y,v5,v6)) | x = w / L((y \ 1) \ 1,v5,v6). (L(x,y,z) \ 1) * x = x / L((x \ 1) \ 1,y,z). x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * 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. (L(x,y,z) \ x) * L(x,y,z) = x. (L(x,y,z) \ x) \ x = L(x,y,z). (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. L(x \ 1,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. K(x,T(x \ y,z)) = K(x,T(x \ y,z \ y)). K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). K(x,(y * (z / (u \ 1))) \ w) = K(x,(y * (z / (1 / u))) \ w). K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). 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 \ 1,y / K(x,z)) = K(x \ 1,y). K(x \ 1,y * x) = K(x \ 1,x * y). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). x != (((y \ 1) * z) \ z) * ((y \ 1) * z) | x = y * (z / y). x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / 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. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). x != T(K(y,1 / z),u) | x = K(y,1 / T(z,u)). K(x,1 / y) = K(x,1 / T(T(y,z),z)). K(x,1 / T(T(y,z),z)) = K(x,1 / y). K(x,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)))). 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). 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). (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))) = L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). x != (y * (z / y)) \ (K(y,y \ z) * T(z,u)) | x = K(z,u). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). x != L(y,z \ u,T(z,z \ u)) | x = L(y,u / z,z). K(x,y) = L(K((z \ 1) \ (z \ x),y),x / z,z). L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). 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,y * (z * K(u,1 / u))) = K(x,y * z). L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). L(x,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). x != L(y,z \ 1,T(u,u \ w)) | x = L(y,1 / z,(u \ w) \ w). L(x,T(y,y \ z) \ 1,y) = L(x,1 / T(y,y \ z),(y \ z) \ z). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). x != L(y,z / T(u,u \ w),(u \ w) \ w) | x = L(y,((u \ w) \ w) \ z,(u \ w) \ w). L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. K((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)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). x != K(y,1 / ((z * u) / z)) | x = K(y,1 / T(u,z)). K(x,y * K(1 / y,z)) = K(x,1 / T(1 / y,z)). K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). K(x,y * K(1 / y,z)) = T(K(x,y),z). 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)). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). x != K(y,T(z / (y * (u * w)),u * w)) | x = K(T(y,u * w),z / ((u * T(y,u * w)) * w)). K(x,(y * z) \ (x \ u)) = 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(x,(y * z) \ (x \ u)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). K(x,R(y,z,x \ 1)) = K(x,y). x * K(x,y) = T(x,R(y,z,x \ 1)). T(x,R(y,z,x \ 1)) = x * K(x,y). R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). x != K(y * z,y) | x = K(z * T(y,u),y). K(T(x,y) * z,x) = K(z * T(x,u),x). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). T(K(x \ y,z),x) = K((x / y) \ 1,z). T(x,K(y * x,z)) = T(x,K(y,z)). T(K(x,y),z \ 1) = T(K(x,y),z). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). x != K(y,z / (z / u)) | x = K(T(y,u \ z),u). K(T(x,y),z) = K(T(x,z \ y),z). K(T(x,y \ z),y) = K(T(x,z),y). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). 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)). K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). K(x,y) != z | K(x,1 / (1 / y)) = z. K(x,y / z) != u | K(x,1 / (z / y)) = u. x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). x * y != K(z,u) * (K(w,z) * (K(u,z) * v5)) | (K(w,z) * v5) / y = x. (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). x != y * K(T(z,u),w) | x = y * K(z,T(w,u)). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). x != (K(y,T(z,u)) * K(z,w)) \ v5 | x = K(z,T(y,u)) * (K(w,z) * v5). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). 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,z),u,w) | x = K(1 / L(y,u,w),z). K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). T(T(x * (y \ 1),y),z) = R(T(y \ x,z),y,y \ 1). R(T(x \ y,z),x,x \ 1) = T(T(y * (x \ 1),x),z). R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). 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))). 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)). (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(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). R(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. 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. 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,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,y) \ R(K(x,y),z,u) != w * (K(y,x) * R(K(x,T(y,v5)),z,u)) | K(v5,K(y,R(x,z,u))) = w. x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). x != L(y,T(z,y),u) | x = L(y,z,u). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). (x \ 1) * R((x \ 1) \ 1,y,z) = T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (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). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). 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). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). T(x * 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)). R(x,y,R(x,z,u)) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). 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 != (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). K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). x != (1 / y) \ R(1 / y,z,u) | x = y * R(y \ 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 * 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. L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * R(L(x,y,z),u,u \ 1)). (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). a(x,y,y \ 1) * x = R(x,y,y \ 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). 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)). x != L(y,z,u) * R(L(y,z,u) \ 1,y,y \ 1) | x = L(T((y \ 1) * y,y \ 1),z,u). a(1 / L(x,y,z),x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). L(K(x \ 1,x),y,z) = a(1 / L(x,y,z),x,x \ 1). a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). x * y != a(1 / L(z,u,w),z,z \ 1) | L(K(z \ 1,z),u,w) / y = x. L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). x != K(y,z) / R(y,z,z \ 1) | x = 1 / ((z * y) * (z \ 1)). L(x,y,z) = 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)). 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). L(x,y,z) \ 1 = (L(x,y,z) \ x) * (x \ 1). (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). (x * K(y,z)) \ ((K(z,u) * K(y,z)) * (x * K(u,z))) = K(K(z,u) * K(y,z),R(x / K(z,u),K(z,u),K(y,z))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). x != K(y,K(z,u)) * K(y,K(u,w)) | x = K(y,K(z,u) * K(u,w)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). T(K(x,y) * K(z,x),u) = K(x,T(y,u)) * K(z,T(x,u)). K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). T(K(x,y) * K(z,x),u) * w = K(x,T(y,u)) * (K(z,T(x,u)) * w). K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. x != K(y,T(z,u)) * (K(z * R(y,w,v5),T(y,u)) * v6) | x = R(T(y,u),z,R(y,w,v5)) * (T(y,u) \ v6). T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). a(x,y,R(x,z,u)) * w = R(T(x,v5),y,R(x,z,u)) * (T(x,v5) \ w). R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. x != K(y,1 / y) * (z * u) | x = z * (u * K(y,1 / y)). (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). x != K(y,1 / y) * z | x = z * K(y,1 / y). (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). x != R(y,z,K(u,1 / u)) | x = y. K(x,1 / x) * (y / z) = y / (z * K(1 / x,x)). x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / y)) = K(y,1 / y) * (x / y). K(x,1 / x) * (y / x) = y / (1 / (1 / x)). (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). (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 * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). ((x / y) * (y / x)) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). x != ((y / z) * (z / y)) * ((y / z) \ 1) | x = z / y. R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. x != T(y,z \ (1 / u)) | x = T(y,z \ (u \ 1)). x / y = T(x / y,(x / y) \ ((y / x) \ 1)). T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. K(1 / (x / y),z) != u | K(y / x,z) = u. K((x / y) \ 1,z) != u | K(y / x,z) = u. (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 * 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)). 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,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). 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 / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. (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). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). x * y != K(z \ u,z) * R(T(z,z \ u),w,v5) | x \ (u \ ((R(z,w,v5) * (z \ u)) * z)) = y. x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). ((x \ y) \ y) \ 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)). 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. x != K(y,K(z \ y,z) * u) | x = K(y,u). K(x,y * K(z \ x,z)) = K(x,y). K(x,y \ z) = K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)). K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. 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) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. 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)). T(K(x,y),z * x) = T(K(x,y),z * T(x,u)). T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). 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. K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). T(x,y) * ((x \ 1) * z) = L(K(x,y) * z,x \ 1,x). L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). (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 != a(T(y,z),T(u,y),R(T(y,z),w,v5)) | x = a(T(y,z),u,R(T(y,z),w,v5)). a(R(x,y,z),u,x) = a(T(x,u),T(u,x),R(T(x,u),y,z)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. 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. L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). (x / (x / y)) \ (y * z) = K(y,y \ x) * z. ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). x * a(y,z,y) != u | x = a(y,z,y) \ u. x * L(y,z,y) = a(y,z,y) \ (x * y). a(x,y,x) \ (z * x) = z * L(x,y,x). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). (x * y) * z != (x * y) * K(y,T(u,x)) | T(K(y,u),x * y) = z. T(K(x,y),z * x) = T(K(x,y),z). x != T(K(y,z),T(z,u)) | x = K(y,z). T(K(x,y),T(y,z) * x) = K(x,y). x != T(K(y,z),u * y) | x = T(K(y,z),u * T(y,w)). K(x,y) = T(K(x,y),T(y,z) * T(x,u)). T(K(x,y),T(y,z) * T(x,u)) = K(x,y). 1 / K(x,y) = T(K(y,x),T(y,z) * T(x,u)). T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). T(K(x,y),T(x,z) * T(y,u)) = K(x,y). (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). x != (y * T(z,u)) * K(u,z) | x = y * z. 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. x != K(y,K(z,u)) * (K(y,y \ z) * w) | x = K(y,T(y \ z,u)) * w. T(x,x \ y) * K(y,z) = K(x,T(x \ y,z)) * (K(y,z) * x). K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). 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) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). (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 != (L(1 / y,z,u) \ 1) / y | x = L(1 / y,z,u) \ (1 / y). 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). x != L(1 / y,z,u) \ (1 / y) | x = L(y \ 1,z,u) \ (y \ 1). 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). x != L((y \ 1) \ 1,z,u) \ ((y \ 1) \ 1) | x = L(y,z,u) \ y. 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. 1 / (x \ L(x,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). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(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). x != (y / z) \ T(y,(y / z) \ 1) | x = y * (z / y). (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). x != K(1 / y,K(z,u)) | x = K(z,K(u,y)). (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != 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 * z,(y / u) \ 1) | x = K(z * y,y \ u). K(x,x \ T(y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). x != K(y,z) * u | x = z * (T(z,y) \ u). K(x,y) * K(z,y) = y * (T(y,z) \ K(x,y)). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x != y * (T(y,z) \ K(u,y)) | x = T(y,z) \ ((u * y) / u). K(x,y) * K(z,y) = T(y,z) \ ((x * y) / x). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). K(x,y * T(K(z \ u,y),u)) = K(T(x,(z / u) \ 1),y). x != K(y,z * T(K(z \ u,z),u)) | x = K(T(y,z \ u),z). K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). 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 \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). (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. ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. (x * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). x != (y * z) * K(T(z,y),y * z) | x = T(z,y * z) * T(y,z). ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. 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 != T(y,z) * T(u,y) | x = K(y,z) * u. x / R(y,y \ x,y) = K(y,x) * (y \ x). x * y != z * T(y,u) | x = z * K(y,u). x / R(y,y \ x,y) = (y \ x) * K(y,x). 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(x,L(y,z,L(y,u,w))) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). x != K(y \ z,T(u,y)) | x = K(z / y,u). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). x * ((y * (x / y)) \ y) = x / (x / y). ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. T(x,(x / y) / x) = T(x,1 / y). L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). 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(y,K(y,z) * u,w),v5) | x = K(R(y,u,w),v5). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). 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 \ 1,u) = R(K(x,y),z \ K(z,x),u). R(K(x,y),z \ K(z,x),u) = R(K(x,y),z \ 1,u). x * K(x / T(y,z),y) = (y \ x) * y. x != (y \ z) * y | x = T(y,u) * T(T(y,u) \ z,y). x * K(x / T(y,z),y) = T(y,u) * T(T(y,u) \ x,y). T(x,y) * T(T(x,y) \ z,x) = z * K(z / T(x,u),x). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). x != K(y,T(T(z,u),u * y)) | x = K(L(y,w,y),z). K(T(x * y,y) / x,z) = K(L(y,u,y),z). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). 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,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)). R(x,y,z) * K(u,u \ 1) = R(K(u,u \ 1) * x,y,z). K(x,y * (K(z,1 / z) * u)) = K(x,y * u). K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). x != T(y,z) | x = T(y,z * K(u,u \ 1)). T(x,R(y \ 1,z,u)) = T(x,R(1 / y,z,u) * K(w,w \ 1)). T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | x = L(y,z,y). L(x,T(y,K(x,z)),x) = L(x,y,x). x != L(y,T(z,K(u,w)),u) | x = L(y,T(z,T(u,w)),u). 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 != 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). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. x != (K(y,z) / u) * K(w,K(z,1 / u)) | x = T(K(y,z) / u,K(w,z)). T(K(x,y),1 / z) / z = T(K(x,y) / z,K(x,y)). T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). 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. a(x,y,K(z,u)) * w != v5 | v5 = a(x,y,K(u,z)) \ w. a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) \ w = v5. 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). L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). 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(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). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). (x \ K(x,y)) * T(x,x \ 1) = K(x,y). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. T(x,x \ y) / y = x / ((x \ y) * x). K(x,y * K(z,x \ 1)) \ 1 = K(y,x). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). K(x,y) = K(y \ ((1 / y) \ x),y). K(x \ ((1 / x) \ y),x) = K(y,x). x != L(y,z,u / z) | x = u \ ((u / z) * (z * y)). L(x,y,y \ z) = z \ ((z / y) * (y * x)). x \ ((x / y) * (y * z)) = L(z,y,y \ x). x != K(y,z) | x = K(T(y,u),T(z,u)). K(R(x,y,L(x,z,u)),w) = K(T(x,v5),T(w,v5)). K(T(x,y),T(z,y)) = K(R(x,u,L(x,w,v5)),z). a(x,y,K(z,z * y)) != u | 1 = u. T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). x != K(y \ z,y) | x = K((y / z) \ 1,y). K(x,y) = K((y / ((1 / y) \ x)) \ 1,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). a(x,(y \ 1) \ 1,z) = a(x,y,z). a(x,1 / y,z) = a(x,y \ 1,z). a(x,y * K(z,z \ 1),u) = a(x,y,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). L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). x != K((y * K(z,u)) \ w,T(z,v5)) | x = K(y \ w,T(z,v5)). K(x / (y * K(z,u)),z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). ((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)). x != K(y,T(z / ((u * T(y,u * w)) * w),u * w)) | x = K(y,(u * w) \ (y \ z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * y) * w),u * w)) | x = K(y,((u * y) * w) \ z). K(x,(y * z) \ (x \ u)) = K(x,((y * x) * z) \ u). K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(((y \ z) * y) * u) \ w) | x = K(y,(z * u) \ w). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ 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)). K(x \ (y * z),y \ x) = K(z / (y \ x),y \ x). K(x / (y \ z),y \ z) = K(z \ (y * x),y \ z). 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(1 / x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). K(x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(1 / y,K(x,z))). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). 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(x,x \ y) = K(x,L(x,z,z \ 1) \ y). K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). K((x \ 1) \ y,(x * y) \ z) = K((x \ 1) \ y,((x \ 1) \ y) \ z). K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). K(x,y \ T(z,z \ x)) = K(x,y \ z). K(x,y \ ((z \ x) \ x)) = K(x,y \ z). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,L(z,((y \ x) \ x) \ 1,(y \ x) \ x) \ y). K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). (x / (1 / (1 / y))) * z = (x / y) * (z * K(y,1 / y)). (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). 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)). x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(K(u,y) * z,w,v5)). K(x,R(y,K(z,x) * u,w)) = K(x,R(K(z,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). 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)). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. 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 != L(K(y,y \ 1),z,u) | x = K(y,y \ 1). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). x * y != K(z,z \ 1) | x \ K(z,L(z,u,w) \ 1) = y. L(x,y,z) \ K(x,L(x,u,w) \ 1) = (1 / x) * (L(x,y,z) \ x). K(x \ 1,y) = K(x \ 1,T(y,L(x,z,u))). K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). 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). R(x,y,z) \ K(x,u) = (R(x,y,z) \ 1) * K(x,u). (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x * (y * K(y / T(x,z),x)) = T(x,u) * ((T(x,u) \ y) * x). T(x,y) * ((T(x,y) \ z) * x) = x * (z * K(z / T(x,u),x)). x * y != T(z,u) * ((T(z,u) \ w) * z) | x \ (z * (w * K(w / T(z,v5),z))) = y. x \ (y * (x * K(x / T(y,z),y))) = L(y,T(y,u) \ x,T(y,u)). L(x,T(x,y) \ z,T(x,y)) = z \ (x * (z * K(z / T(x,u),x))). L(x,T(x,y) \ z,T(x,y)) = z \ (x * ((x \ z) * x)). L(x,T(x,y) \ z,T(x,y)) = L(x,x \ z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). x != L(y,T(y,z) \ u,y) | x = L(y,u / T(y,z),y). L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). x != L(y,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). x != L(y,T(z,u),u) | x = L(y,z,u). L(T(x,y),x \ z,x) = L(T(x,y),z / T(x,u),x). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). 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). T(x,y) \ z = T(K(y,x) * (z / x),x). T(K(x,y) * (z / y),y) = T(y,x) \ z. (x * y) / T(T(x,y),z) = K(z,x) * y. (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. T(K(x,y \ 1) / y,x) = 1 / y. T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). R(x,1 / y,K(z,y)) = x. (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). x * K(y,z) = (x / (1 / z)) * (1 / T(z,y)). (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. x * y != z * K(z,u) | T(z,u) / y = x. T(x,y) / (1 / T(y,x)) = x / (1 / y). T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). x * K(y,y \ z) = (x / (y \ z)) * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). R(x,y,K(y \ 1,z)) = x. R(x,y \ z,K(y / z,u)) = x. x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). x != y \ (z * K(y / z,z)) | x = (z * (y / z)) \ z. (x \ y) * K(x / y,y) = (y * (x / y)) \ y. (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). K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. K(T(x,y) \ z,x) != u | K(x \ z,x) = u. K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). 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. K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K(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)). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). x != K(y,K(z,T((u * y) / w,w / y))) | x = K(y,K(z,(w / y) \ u)). K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). x != K(y,K(z / u,T(w,u))) | x = K(y,K(w,u \ z)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). 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)). L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). L(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)). x != K(y,R(z,u * K(z,w),v5)) | x = K(y,R(z,u,v5)). R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). R(K(x,y),z,u) = K(x,R(y,z / T(y,w),u)). K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). x != K(y,R(z,u / T(z,w),v5)) | x = R(K(y,z),u * K(w,z),v5). R(K(x,y),z,u) = R(K(x,y),z * K(w,y),u). R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). 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. (x * y) * z != (u * x) * y | z = R(T(u,x * y),x,y). T(T(x,y),z) = R(T(T(x,y),z * x),z,x). R(T(T(x,y),z * x),z,x) = T(T(x,y),z). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * 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). T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). K(x,y) * (x / y) = x / T(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)). 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. R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. x != y * K(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,x / z)) = T(x,K(y,z)). x != T(y,K(z,u \ w)) | x = T(y,K(z,w \ u)). T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. 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)). K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. L(x,y,x) \ z = a(x,y,x) * (x \ z). a(x,y,x) * (x \ z) = L(x,y,x) \ z. K((K(x,y) / x) * z,u) = K(((x * K(y,x)) \ 1) * z,u). K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). K(x / y,z) != u | K((y / x) \ 1,z) = u. L(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. 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 != T(y,R((z * u) / z,w,v5)) | x = T(y,R(T(u,z),w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). 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)). 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))). x != K(y,T(z,(y \ u) \ w)) | x = K(y,T(z,u \ w)). K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). x * y != y * K(z,u) | x = K(z,T(u,y)). K(x,y \ K(y,z)) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). 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. 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). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). 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). 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)). 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). L(x,y,z) * u != L(x * K(w,x),y,z) | u = K(w,L(x,y,z)). K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). x != K((y \ 1) \ z,L(u,z,y)) | x = K(y * z,u). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). K(x \ 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)). R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). x != L(L(T(y \ 1,z),y,u),u * y,1 / (u * y)) | x = T((1 / (u * y)) * u,z). R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. x != a(1 / (y * z),y,z) \ T((1 / (y * z)) * y,z) | x = (z * ((1 / (y * z)) * y)) \ ((1 / (y * z)) * y). x \ 1 = (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y). (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. x != K(y,y \ z) \ ((z / y) * u) | x = (y \ z) * u. L(x,y,z) \ 1 = (x \ 1) * (L(x,y,z) \ x). (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != K(z,z \ 1) \ ((1 / z) * (L(z,u,w) \ z)) | x \ (L(z,u,w) \ 1) = y. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x != L(y,z,u) \ 1 | x = (y \ L(y,z,u)) \ (y \ 1). (x \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (x \ 1). (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(y,z,y) \ y | x = y \ R(y,z,y). (x \ L(x,y,x)) \ 1 = x \ R(x,y,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 \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != (y / z) * K(u,z) | x = y / T(z,u). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,T(y,z)) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). x != T(y,z \ K(u,z \ 1)) | x = y * K(T(y,u),z \ 1). 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). 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,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,y) * z != u | x * (K(x,y) * z) = u. T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. K((x \ y) \ 1,T(x,z)) != u | K((T(x,z) \ T(y,z)) \ 1,x) = u. K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). 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)). K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). x != 1 / K(y,T(z,u)) | x = K(z,T(y,u)). K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). x != K(y,z \ T(y,u)) | x = K(y,z \ y). K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). x != K(y,T(z,K(u,u \ y))) | x = K(y,z). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). x != K(y,(z * K(u \ y,u)) \ w) | 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(x,y \ ((z \ x) * z)) = K(x,y \ x). K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. L(K(x,y),z,y \ 1) = K(x,y). K(L(x,y,z \ 1),z) = K(x,z). (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). L(x \ 1,K(x,y),z) = x \ 1. K(x,T(y,T(((z * u) / z) * x,x \ z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). x * (y \ z) != (y \ z) * K(u,z \ y) | x = K(u,z \ y). K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). x * y != K(z * u,w) * u | (u * K(u * z,w)) / y = x. ((x * y) * K((x * y) * z,K(u,x))) / y = T(x,K(z * (x * y),u)). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. x * y != T(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(y,z * K(u,x))). K(x,K(y,z * K(u,x))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,K(x,u) * z)). 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)). x != K(y,K(z,(y \ u) \ w)) | x = K(y,K(z,u \ w)). 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,u \ (w * y))). K(x,K(y,z \ u)) = K(x,K(y,z \ (u * x))). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). x != T(K(y,z),u \ 1) | x = T(K(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). 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)). 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,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). x != y \ R(y,z,y) | x = a(y,z,y). K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. x * a(y,z,K(u,x)) = (u * x) / T(u,L(x,z,y)). (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))). R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). ((((x \ 1) * (K(y,z) * u)) / ((x \ 1) * u)) * (x \ 1)) * u = (x \ 1) * (R(K(y,z),x \ K(x,y),u) * u). (x \ 1) * (R(K(y,z),x \ K(x,y),u) * u) = ((((x \ 1) * (K(y,z) * u)) / ((x \ 1) * u)) * (x \ 1)) * 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). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | x = K(z,y) * u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). x != K(y,z) * (K(z,y) * u) | x = u. 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 * 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). x != K(R(R(y,K(z,u),w),K(z,u) * w,v5),u) | x = K((((y * K(z,u)) * w) * v5) / (w * v5),u). K(R(x,K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). 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)) = T(x,R(y,u,w)). x != T(y,R(y \ z,K(u,y) * w,v5)) | x = T(y,R(T(y,u) \ z,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,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 / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). x != K(y \ L(z,u,w),z) | x = K(y \ z,z). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,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)). K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). x != T(y \ z,(y \ z) \ u) | x = T(y \ z,z \ (y * u)). T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). x != ((y \ 1) \ 1) * K(z,y) | x = (y \ 1) \ K(z,y). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). x != R(y,1 / z,u) | x = R(y,z \ 1,u). x = R(x,y \ 1,K(z,y)). R(x,y \ 1,K(z,y)) = x. R(x,y,K(z,y \ 1)) = x. R(x,y \ 1,K(z,T(y,u))) = x. x * (y * K(z,y \ 1)) = (x * y) * K(z,y \ 1). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). R(x,y \ z,K(u,z \ y)) = x. K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). R(x,(y * K(z,y)) \ 1,K(u,y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). K(x,T(y / z,z / y)) != u | K(x,y / z) = u. T(x,x * y) * K(y,x) != z | z = L(x,y,x). T(x,x * y) * K(y,x) != z | L(x,y,x) = z. 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 != T(y,z \ 1) | x = T(y,(u * z) \ u). T(x,L(y \ 1,y,z)) = T(x,(u * y) \ u). (x * y) \ ((x * (y * z)) * K(u,(x * (y * z)) \ (x * y))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). x * y != K(z,z \ u) * w | x \ ((u / (u / z)) \ (z * w)) = y. (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. K(x \ y,z) = K(z \ ((x / z) \ y),z). K(x \ ((y / x) \ z),x) = K(y \ z,x). K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). x != K(y \ 1,T(y,z)) | x = K(y \ 1,y). K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). 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 * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). x != K(y * K(z,T(y,u)),w) | x = K(y,T(w,T(z,u))). K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). x != K(y,T(z,T(((u * w) / u) * y,y \ u))) | x = K(y,T(z,u \ (y * (u * R(w,y,y \ u))))). K(x,T(y,T(((z * u) / z) * x,z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). x != K((y * z) / u,y) | x = K((u / z) \ y,y). K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). x != K(y \ (z * u),T(z,u)) | x = K((y / u) \ z,z). K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). x != K(y \ (z * u),T(u,w)) | x = K((z \ y) \ u,T(u,w)). K(x \ (y * z),T(y,u)) = K((z \ x) \ y,T(y,u)). K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). 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)). (1 / (1 / x)) \ y = (x \ y) * K(x,1 / x). (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. ((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) * w)) = K(x,y * ((z \ L(u,1 / z,z)) * w)). K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((z \ 1) * u) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. K(x,T(y,z)) * u = K(x,y) * (K(x,K(y,z)) * u). K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x * K(y,z \ 1),z) = K(x,z). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(x * K(y,z \ u),u \ z) = K(x,u \ z). K(K(x,y \ 1) * z,y) = K(z,y). 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). L(x,y,z) * (K(u,x) * w) = L(K(u,x),w,L(x,y,z)) * (L(x,y,z) * w). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). K(x,y) * (L(y,z,u) * w) = L(y,z,u) * (K(x,y) * w). L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). L(x,y,z) * T(u,K(x,w)) = K(w,x) * (L(x,y,z) * (u * K(x,w))). K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). x != K(y,z) * (L(z,u,w) * (v5 * K(z,y))) | x = T(L(z,u,w) * v5,K(y,z)). L(x,y,z) * T(u,K(x,w)) = T(L(x,y,z) * u,K(w,x)). L(x,y,z) * T(u,K(x,w)) = T(L(x,y,z) * u,K(x,w)). x != y * T(z,K(u,w)) | x = (y * z) * K(u,K(w,z)). T(L(x,y,z) * u,K(x,w)) = (L(x,y,z) * u) * K(x,K(w,u)). (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). x * y != T(x,K(z,u)) | y = K(u,K(z,x)). K(x,K(y,z)) = K(y,K(x,L(x,u,w) * z)). K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). 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)). 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 * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. 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(y,z \ 1) | x = T(y,1 / z). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). (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(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)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). 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 * (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). (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). (x * (R(y,z,u) * K(w,y))) / (K(w,y) * R(y,z,u)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). x != (y * (z * K(u,w))) / (K(u,w) * z) | x = y * K(u,K(z,w)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. R(x,K(y,z),R(z,u,w)) = x. x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). T(L(x,y,1 / y),y) = (1 / y) * (x * y). 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(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). x * y != T(1 / z,(u * z) / u) | x \ (z \ 1) = y. (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. (((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). x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,z * y). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). x != K((y / (z * y)) \ 1,u) | x = K(z,u). K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). K((x \ 1) * y,x \ y) = 1. T(K(1 / T(x,y),z),y) = K(1 / x,z). x != T(K(1 / y,z),u) | x = K(1 / T(y,u),z). K(1 / x,y) = K(1 / T(T(x,z),z),y). K(1 / T(T(x,y),y),z) = K(1 / x,z). 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)). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(x,T(1 / y,z)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) = T(x,T(1 / y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). 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)). 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. T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. 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). T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). x != L(T(y \ z,u) \ 1,y \ z,y) | x = z \ (y * K(u,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). 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. (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). x != T((y * z) * (y \ 1),y) | x = R(z,y,y \ 1). ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). K(x,L(y * ((z * y) \ z),u,w)) = 1. x != K(y,L(z * ((u * z) \ u),z \ 1,u * z)) | x = K(y,a(u,z,z \ 1) \ 1). 1 = K(x,a(y,z,z \ 1) \ 1). K(x,a(y,z,z \ 1) \ 1) = 1. T(x,a(y,z,z \ 1) \ 1) = x. K(x,a(y,z \ 1,z) \ 1) = 1. T(x,a(K(y,z),u,u \ 1)) = x. T(x,a(K(y,z),u \ 1,u)) = x. T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). x != a(y,z \ 1,z) | x = y \ R(y,z \ 1,z). T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). x != T(K(y,z) * R(K(z,y),u,w),v5) | x = K(y,T(z,v5)) * R(K(z,T(y,v5)),u,w). K(x,y) \ R(K(x,y),z \ 1,z) = K(y,T(x,u)) * R(K(x,T(y,u)),z \ 1,z). K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). x != K(y,T(z,u)) * w | x = K(u,K(z,y)) * (K(y,z) * w). K(x,y) \ R(K(x,y),z \ 1,z) = K(u,K(x,y)) * (K(y,x) * R(K(x,T(y,u)),z \ 1,z)). K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). x * K(y,K(z,x)) = T(x,K(y,R(z,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (u \ 1))). K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). 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)). K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | 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)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). 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)). 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)). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(y,K(z,u) * K(w,z)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w)) * K(v6,v5)). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. 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. K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). L(x,K(y,z),a(K(y,u),w,v5)) = x. (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). 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). (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,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))). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). K(x,y) * (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). 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)). x != T(T(y,z),K(z,u)) | x = T(y,T(z,u \ 1)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,K(y,z * u)) = T(x,K(y,z / (u \ 1))). T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). x != T(y,K(z,u / y)) | x = T(y,K(z,u)). 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)). x != T(y,z) * L(T(u,y),w,v5) | x = K(y,z) * (L(u,w,v5) * y). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x \ 1,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). x != K(y,K(z,u)) * (y \ w) | x = T(y,K(z,u)) \ w. 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 \ 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. x != K(y,((z * u) \ z) \ 1) | x = K(y,u). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). 1 / (x \ K((y \ 1) \ z,x)) = T(x,(y \ x) \ (z * x)). T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). x * K(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)). T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)). K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (z * x)). K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u). K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * (u / y)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (z \ 1)) \ u) = K(x,(y * (z \ x)) \ (u * x)). K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * ((u \ y) \ y)) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). K(x,(((y \ x) \ 1) * (1 / (1 / z))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). x != K(y,(z * (u / (1 / w))) \ v5) | x = K(y,(z * (u / (w \ 1))) \ v5). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). x != K(y,((1 / (K(z,y \ u) / z)) * u) \ (w * y)) | x = K(y,((y \ u) * z) \ w). K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). x != K(T(y,z) \ 1,u) | x = K((y * z) \ z,u). K(x \ 1,x) = K((x * y) \ y,T(x,z)). K((x * y) \ y,T(x,z)) = K(x \ 1,x). K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). 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. K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)) = ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). ((((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. 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). (a(x,y,z) \ 1) \ 1 != u | u = a(x,y,z). (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. K((x / y) \ z,x / y) = K(x \ (y * z),x / y). K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). 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)). (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). K(x / (y * z),z) = K((z \ x) / y,z). K((x \ y) / z,x) = K(y / (z * x),x). K(x,K(y,1 / y) / z) = K(x,1 / z). K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. K((x * y) / x,x / (x * z)) = K(y,1 / z). K(x,y) * T(y,z) = T(y * K(T(x,z),y),z). T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). x != K(y,z) * (z * u) | x = (z * u) * K(y,T(z,u)). (x / y) * z = ((y \ x) * z) * K(y,T(y \ x,z)). ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. x != T(y,z * K(u,z)) | x = T(y,T(z,u)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. 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 \ 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) != u | (x \ K(x,z)) * T(x,y) = u. 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 != K((1 / (1 / y)) * z,u) | x = K(y * z,u). K(x * y,1 / y) = K(y * x,1 / y). K((x \ y) * x,1 / x) = K(y,1 / x). K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). 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,x * ((y * z) \ y)) != u | K(x,z \ x) = u. K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). K(x,K(y,z)) * K(x,y / z) = K(x,z \ 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)). 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)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x \ L(x,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | x = T((y \ 1) * L((y \ 1) \ 1,w,v5),K(z,u * y)). T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). x != (L(y,z,u) \ y) * T(y \ L(y,z,u),K(w,v5)) | x = K(y \ L(y,z,u),K(v5,w)). K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). x != K(y \ L(y,z,u),K(w * y,v5)) | x = K(v5,K(y * w,y \ L(y,z,u))). K(x,K(y,z \ L(z,u,w))) = K(y,K(z * x,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). 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(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(T(y,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (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)). 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). 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 != T(y,z) * T(z,T(u,y)) | x = K(z,u) * (y * ((y * z) / y)). x * T(y * K(x,y),z) = K(y,z) * (x * ((x * y) / x)). K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). x != (y * K(z,u)) * (u \ 1) | x = (y * (u \ 1)) * K(z,u). x * (y \ K(z,y)) = (x * (y \ 1)) * K(z,y). (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. K(K(x,1 / y) * z,y) = K(z,y). K(K(x,x \ y) * z,x / y) = K(z,x / y). K(T(x,1 / y) / z,y) = K(x / z,y). T(K(x,y),(z * y) \ z) != u | K(x,y) = u. K(x,L(y,z \ u,z)) != w | K((z * ((z \ u) / x)) \ u,y) = w. K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). K(T(x,y),z * ((x * y) \ y)) = K(T(x,y),z * (y / (x * y))). K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). K(x,y) / (K(x,y) / y) = 1 / (1 / y). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). R(x / y,y,z) != u | (x * z) / (y * z) = u. R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. R(x,y \ K(y,z),K(u,y)) = x. x != R(y / (z \ K(z,u)),z \ K(z,u),K(u,z)) | x = (y * K(u,z)) / (z \ 1). x / (y \ K(y,z)) = (x * K(z,y)) / (y \ 1). (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). T(x,y) / (y \ 1) = x / (y \ K(y,x)). (T(x,y) / (y \ 1)) \ x = y \ K(y,x). (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). T(K(T(x,y),z),y) = K((y / (x * y)) \ 1,z). K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). x != K((y / (z * y)) \ 1,u * (y / (z * y))) | x = K(z,R(z \ 1,z,y) * u). T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). K(x,y * ((x * z) \ z)) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. K(x,K(y,z * x)) * K(y,(z * x) \ x) = K(y,((z * x) \ x) * K(z * x,1 / z)). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). x != (y * K(z,u)) / (z \ y) | x = T(z,T(u,y)). T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). x != K(y,z) * T(T(z,y),u) | x = z * K(T(z,y),u). T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). 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)). (x / (x / y)) / ((y \ x) * y) = y / x. (x / y) \ (y / (y / x)) = (x \ y) * x. 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). x * y != K(z,u) * K(u,z) | x \ 1 = y. (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). K(x,T(y,z)) * T(x,z) = T(T(x,y),z). 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 \ y,w)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). K(x,(y * z) \ z) = K(x,z / (z * y)). K(x,y / (y * z)) = K(x,(z * y) \ y). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). x != K(y,((z * u) \ u) * K(z * u,1 / z)) | x = K(y,w \ (w / z)). K(x,K(y,z)) * K(y,x / (x * z)) = K(y,u \ (u / z)). K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). K(x,K(y,z)) * u != K(y,1 / (1 / (x \ (x / z)))) | u = K(y,(x / (1 / (1 / z))) / x). K(x,y / (y * z)) = K(x,(y / (1 / (1 / z))) / y). K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). x != K(y,(z / (1 / (1 / u))) / z) | x = K(y,(z / u) / z). K(x,y / (y * z)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y / (y * z)). K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). 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 \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. K(x \ (y * z),L(y,u,w)) = K((y \ x) \ z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). x != y * R(y \ 1,z,z \ 1) | x = a(1 / y,z,z \ 1). 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). x != R(y * T(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z). a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). (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 != T(1 / R(y,z,u),y) | x = R(y,z,u) \ 1. (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. (x \ 1) * y != R(x,z,u) \ 1 | T(R(x,z,u) \ x,x \ 1) = y. T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. T(1 / x,R(x,y,z) \ x) = 1 / x. (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). (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 \ 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 * (z * u)) \ ((y * z) * u)) \ 1) \ 1 | x = a(y,z,u). T(a(x,y,z),x) = a(x,y,z). K(a(x,y,z),x) = 1. x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). 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)). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). x != K(y / ((z * u) * y),z) | x = K(u \ (z \ 1),z). K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). x != K(y / (z * u),z) | x = K(y / (u * z),z). K(x \ (y \ 1),y) = K(z / ((x * z) * y),y). K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). K(x / (y * z),z) = K((y / x) \ (z \ 1),z). K((x / y) \ (z \ 1),z) = K(y / (x * z),z). x != K((y / z) \ (u \ 1),u) | x = K(((y \ z) * y) / (u * (z / (z / y))),u). K(x / (y * z),z) = K(((y \ x) * y) / (z * (x / (x / y))),z). K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). x != K(((y \ z) * y) / (u * (z / (z / y))),u) | x = K(R(u \ (z / y),u,z / (z / y)),u). K(x / (y * z),z) = K(R(z \ (x / y),z,x / (x / y)),z). K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). K(x \ (y / z),x) = K(y / (z * x),x). K(x / (y * z),z) = K(z \ (x / y),z). 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). K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). x != K(y \ (z / u),T(y,u)) | x = K(y \ (z / u),T(y,z)). K(x \ (y \ z),y) = K(y \ (z / x),T(y,z)). K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). (x * K(y \ (z \ u),z)) \ x = K(T(z,u),z \ (u / y)). K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). 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(y,y \ T(z,u)) | x = T((y \ z) * y,u) \ T(z,u). K(x,T(x \ y,z)) = T((x \ y) * x,z) \ T(y,z). T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). 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). K(x,x \ T(y,z)) \ 1 = K(x \ y,T(x,z)). 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)). 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)). x != y / (y * K(z,u)) | x = K(u,T(z,y)). K(x \ y,T(T(x,z),u)) = K(x \ T(y,z),T(x,u)). K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). 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). K(T(x,y) \ 1,z) = K(y \ (x \ y),z). K((x * y) \ y,z) = K(y \ (x \ y),z). K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). 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,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). 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 \ 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). (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). x != T(y,z) * ((T(y,z) \ 1) * u) | x = L(u,T(y,z) \ 1,y). L(x,y \ 1,y) = L(x,T(y,z) \ 1,y). L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). x != L(y,T(z,z \ u) \ 1,z) | x = L(y,((z \ u) \ u) \ 1,(z \ u) \ u). L(x,y \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). x * y != L(z,((u \ w) \ w) \ 1,(u \ w) \ w) | x \ L(z,u \ 1,u) = y. ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((((y \ x) \ x) \ 1) * z) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,(((z \ y) \ 1) * u) \ w) | x = K(y,((y \ z) * u) \ w). K(x,((y \ 1) * z) \ 1) = K(x,((x \ (y \ x)) * z) \ 1). K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,((y \ z) * u) \ 1) | x = K(y,(z * u) \ y). K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). x != K(y,((z \ 1) * (z / u)) \ 1) | x = L(K(y,u),z,z \ 1). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). L(K(x,y),z,z \ x) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). K(x,L(y,z,z \ 1)) = L(K(x,y),z,z \ x). L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ x)) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. 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(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. T(T(x,y \ x) / y,T(x,y \ x)) = x / y. (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). K(T(x / (y / (y / z)),1 / u) / (y / z),u) = K((x / z) / (z \ y),u). 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 \ u),u / z) | x = K(y / (u / z),u / z). 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. x != T((y / (1 / (y \ z))) / y,1 / (z / y)) | x = y \ (y / ((z / y) \ 1)). (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(((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). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). (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). (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). x != K(y,z \ (u * y)) | x = K(y,(z / y) \ u). 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 \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). T(x / (x * y),y) = ((x / (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). K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). x != K(T(y / (y / z),u),w) | x = K(T(z,u),T(w,z \ y)). K(T(x,y),T(z,u)) = K(T(x,y),T(z,x \ u)). K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). K(T(x,y),T(z,u)) = K(T(x,y),T(z,x * u)). K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). x != (y * z) \ y | x = L(z \ 1,z,y). x / T(x * y,y \ 1) = L(y \ 1,y,x). T(x,L(y \ 1,y,x) \ 1) = T(x,x \ T(x * y,y \ 1)). T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). x * y != T(x,z) * x | y = T(x,z). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). K(x * (1 / ((y * z) \ y)),z) = K((1 / ((y * z) \ y)) * x,z). K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). 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)). 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). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). L(x,y,z) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,z * (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,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). 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 \ z),u \ y) = K(x * (((u \ y) * u) \ z),u \ y). K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). 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)). T(x * (y / x),z / y) = T(x * (y / x),y \ z). T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). x / T(x * ((x / y) / x),y) = L(((x / y) / x) \ 1,(x / y) / x,x). L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). x != L(((y / z) / y) \ 1,(y / z) / y,y) | x = (T(y,z \ 1) / z) \ y. x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. x / ((y \ 1) \ T(x,y)) = (T(x,(y \ 1) \ 1) / (y \ 1)) \ x. (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). x != (R(y,z,u) \ 1) \ (R(y,z,u) \ K(y,w)) | x = K(y,w). (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)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). a(x,y,R(x,z,u)) = a(R(x,z,u),y,x). 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 != 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). T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). x != T(y,T((z \ 1) \ 1,u)) | x = T(y,T(z,u)). T(x,y * K(y,z)) = T(x,T(y,z)). T(x,y * K(T(y,z),u)) = T(x,T(y,u * K(z,u))). T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). x / T(x,y * K(T(y,z),u)) = K(T(y,u * K(z,u)),x). K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). x != K(T(y * K(z,y),u),w) | x = K(T(y,u),T(w,z)). K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,x * y)). K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z),T(u,y * w)) | x = K(T(y,z),T(u,w)). K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,y)). K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z * K(u * y,z)),w) | x = K(y * K(T(y,u),z),w). K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). x != K(y * K(T(y,z),u),T(w,z)) | x = K(K(z,y) * T(y,u),w). K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). x != K(K(y,z) * T(z,u),T(w,u)) | x = K(z,T(w,T(y,u))). K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). K(x,T(y,T(z,u))) = K(x,T(y,T(x * z,u))). K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). x != K(y,T(z,T(y * u,w))) | x = K(y,T(z,T(u * y,w))). K(x,T(y,T(z,u))) = K(x,T(y,T(z * x,u))). K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). x != K(y,T(z,T(((u * w) / u) * y,u))) | x = K(y,T(z,u \ (y * (u * R(w,y,y \ u))))). K(x,T(y,T((z * u) / z,z))) = K(x,T(y,z \ (x * (z * R(u,x,x \ z))))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). K(x,T(y,z)) = K(x,T(y,u \ (u * R(z,x,x \ u)))). K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). x != K(y,T(z,R(y \ u,y,y \ w))) | x = K(y,T(z,(u * (y \ w)) / w)). K(x,T(y,x \ z)) = K(x,T(y,(z * (x \ u)) / u)). K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). x * K(x,T(y,z / u)) = T(x,T(y,z / (x \ u))). T(x,T(y,z / u)) = T(x,T(y,z / (x \ u))). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). x != T(y,T((z * (y \ 1)) / u,u / (y \ 1))) | x = T(y,(u / (y \ 1)) \ z). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. (1 / x) * y != K((z * x) \ 1,u) / x | y = K(z \ (1 / x),u). K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). (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 * 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. K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. x != K(y \ (z * u),u) | x = K(u * (y \ z),u). K((x \ y) \ z,x) = K(x * (y \ z),x). x != K((y \ 1) * z,T(u,y)) | x = K(z * (y \ 1),u). K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 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). (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)) = T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). (x \ K(x,y)) * T(x,z) = ((x \ 1) \ K(y,x)) \ T(x,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K(((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). x != K((y \ z) \ u,z \ y) | x = K(u / (y \ z),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). x != K((((y * z) \ y) \ 1) * u,z) | x = K(u * (((y * z) \ y) \ 1),z). K(x / ((y * z) \ y),z) = K(x * (((y * z) \ y) \ 1),z). K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). 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,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. K(x,L(y \ 1,y,z) \ z) = K(x,y * z). 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 != K(y,y / z) | x = K(y,z \ y). K(x / y,x / (z * y)) = K(x / y,z \ (x / y)). K(x \ y,(z * x) \ y) = K(y / x,z \ (y / 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). x != K(y / z,u \ (z \ y)) | x = K(z \ y,z \ (u \ y)). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). x != K(y,(z * ((z \ u) / w)) \ u) | x = K(y,L(w,z \ u,z)). K(((x \ y) / z) \ y,z) = K(((x \ y) / z) \ y,L(z,x \ y,x)). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != K(y \ (z \ 1),u) | x = K(y \ (1 / z),u). K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). 1 / ((x * y) \ x) = (y * ((x * y) \ x)) \ y. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(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)). x * K(a(y,z,u),y) != w | w = x. T(a(x,y,z),x) != u | u = a(x,y,z). T(a(x,y,z),x) != u | a(x,y,z) = u. 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)). L(L(x,y,z),z * y,(z * y) \ (z * (y * x))) = T((z * (y * x)) / (z * y),z * (y * x)). x != K(y \ (z * u),y) | x = K(z * (y \ u),y). K(x,y) = K(x * (y \ L(y,z,u)),y). K(x * (y \ L(y,z,u)),y) = K(x,y). x != K(1 / L(y,z,u),y) | x = K(1 / L(y,z,u),L(y,w,v5)). K(1 / x,x) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). K(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)))). x != K(y * L(z,u,w),L(z,u,w)) | x = K(y * z,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),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),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 * 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)),x) = K((x \ (z \ y)) \ u,L(x,z \ y,z)). 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). x != K((y / z) \ u,z) | x = K(z * (y \ u),z). K(x * T(y,z),x) = K(x * ((y \ z) \ z),x). 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)). x != y / (K(z,u) * y) | x = K(u,z). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). K(x,T(y,z)) * T(u * K(y,x),w) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). T(T(x,y),K(z,x * y)) = T(x,T(y,z)). x * y != T(T(z,u),K(w,z * u)) | x \ T(z,T(u,w)) = y. (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). x != T(y * L(y \ 1,y,z),u) | x = T(y,u) * ((z * T(y,u)) \ z). x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). (x \ y) * K(y,z / x) = K(y,x \ z) * (x \ y). K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). x != T(y,z) * K(u,T(w,y)) | x = K(y,z) * (K(u,w) * y). K(x * y,z) * T(x,y) = K(x,y) * (K(x * y,z) * x). K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). x != T(K(y,z) \ T(K(y,T(z,u)) * w,v5),K(y,z)) | x = K(y,z) \ T((K(y,K(z,u)) * w) * K(y,z),v5). T(K(x,T(y,z)) * u,w) * K(y,x) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). (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. ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). x * ((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). 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 * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). x * y != K(z \ u,z) * (u * w) | x \ (((z \ u) * z) * w) = y. (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). K(x \ (x / y),z) != u | K(y \ 1,z) = u. K((x * y) \ x,z) != u | K(y \ 1,z) = 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)). 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). ((1 / (x \ y)) \ x) * (1 / (x \ y)) = T(y,(x \ y) \ 1) / (x \ y). T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). x != ((1 / y) \ z) * (1 / y) | x = ((y \ 1) \ z) * (y \ 1). T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). x != T(y,y \ z) / (z \ y) | x = y * (z / y). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). x != y * (z / y) | x = z * K(y,y \ z). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). x * y != z * K(u,y) | x = z / T(y,u). ((x \ y) \ 1) \ x = x / T((x \ y) \ 1,y). x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. (((x \ y) \ 1) \ x) \ x = T((x \ y) \ 1,y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,T((z \ u) \ y,w)) | x = K(y,T(u \ (z * y),w)). K(x,y \ ((((y \ z) \ 1) \ y) * x)) = K(x,T(1 \ ((y \ z) * x),z)). K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. L(1 / x,y,z) \ 1 = L(x \ 1,y,z) \ K(x \ 1,x). L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. K(x \ y,T(z,x * K(y,x))) = K(y / x,z). x != K(y \ z,T(u,y * K(z,y))) | x = K(y \ z,T(u,(y \ z) \ T(z,y))). K(x / y,z) = K(y \ x,T(z,(y \ x) \ T(x,y))). 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 \ 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). x != L(y \ 1,z,u) \ K(y \ 1,y) | x = L(1 / y,z,u) \ 1. (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). x != T(K(y,z) * u,K(z,w)) | x = K(y,z) * T(u,K(z,w)). T(K(x,y) * z,K(y,y * u)) = K(x,y) * T(z,K(y,u / T(y,w))). K(x,y) * T(z,K(y,u / T(y,w))) = T(K(x,y) * z,K(y,y * u)). x != 1 / T((y * z) \ y,z) | x = ((y * z) \ y) \ 1. K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. x * y != (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. 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)). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | x = K(y \ z,y * (z \ 1)). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). x != K(y \ (z \ 1),u * T(w,w \ 1)) | x = K(y \ (1 / z),u * w). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). x != K(y \ (z \ 1),(z \ 1) \ y) | x = K(y \ (z \ 1),z * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). x != K(y \ (1 / z),y * z) | x = K((y * z) \ 1,y * z). K(x \ (y \ 1),y * x) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. x != ((y \ 1) \ 1) \ z | x = (y \ z) * K(y \ 1,y). L(x \ 1,y,z) \ (x \ 1) = (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x). (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). T(x,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)). 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,y / x) = K((y \ x) * z,y / x). x != y * K(z,z \ u) | x = (y / (z \ u)) * (u / z). R((x \ y) * K(x,x \ y),z,x \ y) = (R(x \ y,z,x \ y) / (x \ y)) * (y / x). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | x = R(T(y / z,K(z,y)),u,y / z). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). 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). T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. (x * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z). x != T(y * z,y) | x = z * R(y,z,y). (x * T(y,x * y)) * (x \ 1) = (x \ 1) * R(x * y,x \ 1,x * y). (x \ 1) * R(x * y,x \ 1,x * y) = (x * T(y,x * y)) * (x \ 1). (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). 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). T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x,y,z) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,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)). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). K(x \ 1,x) * (L(x \ 1,y,z) \ 1) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). x != K(y \ 1,y) * (z \ 1) | 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). x != L(y \ 1,z,u) \ K(y \ 1,y) | x = (y \ 1) * (L(y \ 1,z,u) \ y). (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. R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). T(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)). 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 * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). x != (y * z) * T(u,z) | x = K(u,T(z,y)) * ((y * z) * u). (x * y) * R(K(x * y,z),y,T(x,y)) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). 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 != K(y * ((z \ u) \ 1),z / u) | x = K(((z \ u) \ 1) * y,z / u). K((x \ y) \ z,x / y) = K(((x \ y) \ 1) * z,x / y). K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). K(x * y,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,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z)) = K(x * y,T(x,z * y)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). x != 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) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). 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,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). x != K(y,y \ (z \ (y * u))) | x = K(y,z \ u). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). 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 \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). 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,u,y / z) | x = R(y / z,u,z \ y). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. (((x \ y) \ 1) \ 1) * z != (x \ y) * x | z = y * (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). K(x * ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). 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). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ 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 \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). 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. x != R(K(y,z / (u * z)),R(1 / u,u,z),w) | x = K(y,u \ 1). ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). x != ((y \ T(y * (z / u),w)) * u) / z | x = K((((y \ 1) * u) / z) \ 1,w). K(x * (y / (z * y)),z \ 1) = K((((x \ 1) * (z * y)) / y) \ 1,y / (z * y)). K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). ((x * T(x \ (y / z),y / z)) * z) / y = R(K(x \ (y / z),y / z),y / z,z). R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. x != R(K(y,z / u),z / u,w) | x = K(y,(u / z) \ 1). ((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 != K(y \ (z / (u * z)),u \ 1) | x = K(y \ ((u * z) \ z),u \ 1). K(x * (y / (z * y)),z \ 1) = K((x \ 1) \ ((z * y) \ y),z \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). x != K(y * (z / (u * z)),u \ 1) | x = K(y * ((u * z) \ z),u \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). (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. T(x \ y,R(y / x,z,u)) = x \ y. K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). x != K(R(y / z,u,w) / v5,z \ y) | x = K(v5 \ R(y / z,u,w),z \ y). K(x / (y * (z * x)),z \ 1) = K(y \ R(1 / z,z,x),z \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). 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). 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) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). K(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,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 * (K(y * x,z) * y) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(x,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). T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). 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). x != K((y * (z * u)) \ w,z) | x = K((y * (u * z)) \ w,z). K(L(x,y,y \ 1) \ z,y) = K(((y \ 1) * (x * y)) \ z,y). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K((y * x) \ z,L(u,z,y \ 1)). x / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). x != K(y \ (z * (u \ 1)),u) | x = K(y \ (u \ z),u). K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). 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). 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)). x * y != z * T(u,u \ w) | T(x,y) = y \ (z * ((u \ w) \ w)). T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). ((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). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K(((1 / y) * z) \ u,w) | x = K(((y \ 1) * z) \ u,w). K((x \ y) \ z,T(x,u)) = K(((x \ 1) * y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). 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). K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). K(x / y,z) = K((y / ((z \ 1) * x)) \ z,z). K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). K(x \ y,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K(y \ R(z \ 1,z,u),z \ 1) | x = K(u / (y * (z * u)),z \ 1). K(x \ (y \ 1),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). x != K(y / (z * (u * y)),u \ 1) | x = K(z \ ((u * y) \ y),u \ 1). K(x \ (y \ 1),y \ 1) = K(x \ ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K((y \ 1) \ ((z * u) \ u),z \ 1) | x = K(y * ((z * u) \ u),z \ 1). K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). x != K((y \ 1) \ z,z) | x = K(y * z,z). 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). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | x = (y * R(y \ z,u,w)) / z. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | x = a(y \ z,u,y \ z). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). x != a((y / z) \ 1,u,(y / z) \ 1) | x = K((z \ y) \ u,z / y) * K(z / y,u). a(x \ y,z,x \ y) = K((y \ x) \ z,y / x) * K(y / x,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). K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. x * T(K(y,z),u) != w | x * K(y,T(z,u)) = 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. K(x,y) * T(y,y * x) != z | L(y,x,y) = z. K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. x \ (y * x) != z * u | u \ T(y,x) = T(z,u). x \ (y * x) != z * u | T(z,u) = u \ T(y,x). x / T(T(y,y \ x),z) = T(y,z) \ x. x != y / T(z \ y,u) | x = T(y / z,u) \ y. x * K(y,x \ z) = T(z / x,y) \ z. T(x / y,z) \ x = y * K(z,y \ x). L(x,y,1 / z) != u | L(x,y,z \ 1) = u. T((1 / x) * y,z) != u | L(T(x \ y,z),x,x \ 1) = u. K(L(x,y,z / (y * x)),T(u,z)) != w | K(z / ((z / (y * x)) * y),u) = w. (x * (y * z)) \ ((T(x,u) * (K(u,x) * y)) * L(z,y,K(u,x))) = a(T(x,u),K(u,x) * y,L(z,y,K(u,x))). (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 | (a(x,y,z) * u) * w = v5. L(x,K(y,z),z * y) = x. x != y / L(y,z,u) | x = L(y,z,u) \ y. (x / (y * x)) * y = L(x,y,x / (y * x)) \ x. L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. ((x * y) * z) \ ((x * (y * z)) * z) != u | u = L(z,y,x). ((x * y) * z) \ ((x * (y * z)) * z) != u | L(z,y,x) = u. x \ (y * (x * K(z,x))) != u * w | T(u,w) = w \ T(y * K(z,x),x). a(x \ 1,x,y) = ((1 / x) * (x * y)) \ y. ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). R(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). R(R(x,y,z),y * z,u) != w | (((x * y) * z) * u) / ((y * z) * u) = w. L(x \ y,x,x \ y) != z | T(y / x,y) = z. ((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 / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (1 / y)) = (x / (1 / y)) * L(1 / y,z,u). L(x,K(y \ z,y),z) = x. L(x,K(y,y \ z),z) = x. L(x,K(y \ 1,z),y \ z) = x. x != L(K(y \ z,y) * u,K(y,y \ z),z) | x = (y * (z / y)) \ (z * u). K(x \ y,x) * z = (x * (y / x)) \ (y * z). (x * (y / x)) \ (y * z) = K(x \ y,x) * z. (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. K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). (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)). x * ((y * (x / y)) \ z) = ((y \ x) * y) * (x \ z). ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. (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)). 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). T((x * y) / x,x) != z * u | T(z,u) = u \ y. 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). (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))). x \ (y * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). (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). L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (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). 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 * (1 / y)) \ x) \ 1 = 1 / ((x * (y \ 1)) \ x). 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. 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). (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. ((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). 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). L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). (x / (y \ x)) \ z != u * w | u \ (y \ z) = w. x != T(y,L(z \ 1,z,u)) | x = T(y,z \ 1). T(x,L(1 / y,y,z)) = T(x,y \ 1). (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,y). (x / y) \ (a(y,z,y) \ x) != u | u = L(y,z,y). (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. K(x,T(y,z) * z) = K(x,z * y). K(x,T(y,z) * z) != u | K(x,z * y) = u. (x / y) \ (x * (y \ 1)) = (x * (y \ 1)) / (x / y). (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 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 != T(y * (z / y),y) | x = y * (z / T(y,z)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). (x \ 1) * R(x * y,x \ 1,x * y) = (L(y,x,y) * x) * (x \ 1). ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x != K(y \ T(z,y),y) | x = K(y \ z,y). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). L(x,y,y \ 1) \ x = a(y \ 1,y,x). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). 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 * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). 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)). L(x,y,K(1 / z,u) * (w * (1 / z))) = L(x,y,(K(1 / z,u) * w) * (z \ 1)). L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,K(1 / z,u) * (w * (1 / z))). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). (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). (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). x != (L(y \ 1,z,u) \ (y \ 1)) \ (L(1 / y,z,u) \ 1) | x = y. T(x,x \ (L(x \ 1,y,z) \ 1)) = x. T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). (x \ (1 / ((y * x) \ y))) * T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). x != ((y \ 1) * z) \ (K(y \ 1,y) * u) | x = ((1 / y) * z) \ u. K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. (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. K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). (x * (1 / y)) \ z = K(y \ 1,y) * ((x * (y \ 1)) \ z). K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. R(1 / x,y,z) \ u = K(x \ 1,x) * (R(x \ 1,y,z) \ u). K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. x * y != K(z \ 1,z) * ((u * (z \ 1)) \ w) | x \ ((u * (1 / z)) \ w) = y. 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 \ 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). (x * y) * ((z \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). x \ K(x * y,x \ 1) = y / (y / (x \ 1)). K(x,K(y,z)) * (y * u) != w * v5 | w \ (T(y,K(x,z)) * u) = v5. (K(x,y) * z) \ (y * z) = T(T(y,x),z). ((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z). (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = a(T(x,u),K(u,x) * y,L(z,y,K(u,x))). a(T(x,y),K(y,x) * z,L(u,z,K(y,x))) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). R(x,K(y,z),y) = x. T(x,y) / L(z,x / z,K(x,y)) = K(y,x) \ (x / z). x != ((y * K(z * u,y)) * z) * u | x = (z * u) * R(y,z,u). ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). (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. ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). x * y != z * K(y \ u,y) | x * ((y \ u) \ u) = z. x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. (x / y) \ ((y \ x) * z) != u | u = K(y \ x,y) * z. (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. (x / y) * (z * K(y \ x,y)) = (y \ x) * T(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,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). 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 / z) \ u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). x * y != K(z,z \ 1) * (u * (w \ 1)) | x \ (u * (w \ K(z,z \ 1))) = y. 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 \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. 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). 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(L(1 / x,x,y),z) = K(x \ 1,z). x * y != L(K(z,u),u,w) \ (u * v5) | T(x,y) = y \ (T(u,z) * v5). T(L(K(x,y),x,z),x * u) = (x * u) \ (T(x,y) * u). 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 / 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 \ y) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). 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 * y) * R(z,x,y) != ((x * y) * z) * u | a(z * K(x * y,z),x,y) = u. ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. x * y != ((z \ 1) \ 1) \ (((z * u) \ u) \ u) | (((1 / z) \ u) * (z \ 1)) / y = x. (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. T(x \ K(x * y,x \ 1),y * x) = x \ 1. ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). x * (L(T(y,z),u,w) / y) != y \ L(T(y,z),u,w) | 1 = x. 1 = K(x \ L(T(x,y),z,u),x). K(x \ L(T(x,y),z,u),x) = 1. K(x \ L((x \ y) \ y,z,u),x) = 1. 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 \ 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). x != a(y,(z \ 1) \ 1,u) | x = a(y,z,u). a(x,(1 / y) \ 1,1 / y) = a(x,y,y \ 1). ((x * y) * (z * K(u,z \ 1))) / ((y * z) * K(u,z \ 1)) = R(R(x,y,z),y * z,K(u,z \ 1)). (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). ((x * y) * (z * K(u,z \ 1))) / (y * (z * K(u,z \ 1))) = R(R(x,y,z),y * z,K(u,z \ 1)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). 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)). (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). x != y * K(z,u) | x = (y * u) / T(u,z). R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. x != T(y,(z * u) \ z) | x = T(y,u \ 1). T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)) = T(x,L(x * (y \ z),x \ 1,y) \ u). T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). x / (y * K(z,y \ x)) = T(x / y,z). R(R(x,y,z),y * z,K(u,z \ 1)) != w | R(x,y,z * K(u,z \ 1)) = w. (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). 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). (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 \ (1 / ((y * x) \ y)) = ((y * x) \ y) \ (x \ 1). ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). x != ((y * z) \ y) \ (z \ 1) | x = ((y * (1 / (1 / z))) \ y) \ (1 / z). x \ (1 / ((y * x) \ y)) = ((y * (1 / (1 / x))) \ y) \ (1 / x). ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. x \ ((y * (x \ 1)) \ y) = (1 / x) * ((y * (x \ 1)) \ y). (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). x != (1 / y) * ((z * (y \ 1)) \ z) | x = ((z * (1 / y)) \ z) * (1 / y). x \ ((y * (x \ 1)) \ y) = ((y * (1 / x)) \ y) * (1 / x). ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) = L(u,y,x). (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). ((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 * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. 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)). L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). x != K(y \ 1,(1 / y) \ z) | x = K(y \ 1,z * y). (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). 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 * (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)). ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). ((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)). (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). (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. T(x * (1 / y),y) = L(y,y \ 1,x) \ x. L(x,x \ 1,y) \ y = T(y * (1 / x),x). (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). 1 / (x \ K(y,1 / x)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. ((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)). x * y != K(y \ 1,z) | x = T(1 / y,z). ((1 / x) \ y) \ y = T(1 / x,y * x). T(1 / x,y * x) = ((1 / x) \ y) \ y. T(1 / (x \ y),x \ T(y,x)) = ((1 / (x \ y)) \ K(y,x)) \ K(y,x). ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = T(1 / (x \ y),x \ T(y,x)). (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x / (1 / y) = (K(x * y,y \ 1) / y) \ x. (K(x * y,y \ 1) / y) \ x = x / (1 / y). K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. (x \ 1) * R(x * y,x \ 1,x * y) = R(L(y,x,y),x,x \ 1). (x \ 1) * R(x * y,x \ 1,x * y) = L(R(y,x,x \ 1),x,y). T((x * y) * (x \ 1),x * y) = L(R(y,x,x \ 1),x,y). x * y != T((z * u) * (z \ 1),z * u) | x \ L(R(u,z,z \ 1),z,u) = y. (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(x \ (x * y),x * y). ((x * y) \ L(R(y,x,x \ 1),x,y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(y,x * y). (x \ K(y,x * y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. (x \ K(y,x * y)) \ K(x \ (x * y),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. T(x / (x / (y \ 1)),x * y) = y \ 1. K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. (x \ K(y,x * y)) \ K(y,x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. ((x * y) \ ((x * y) * (x \ 1))) \ 1 = (x \ K(y,x * y)) \ K(y,x * y). x != T(y,(z \ 1) \ 1) | x = T(y,z). T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). (((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. T(x,y \ (z \ y)) != u | T(x,(z * y) \ y) = u. T(x,R(y,z,z \ 1) \ y) = x. (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). T(x,(y * z) \ y) != u | T(x,z \ 1) = u. T(x,(y * (z * u)) \ (y * z)) != w | T(x,L(u,z,y) \ 1) = w. 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 * (1 / (1 / y))) \ x) \ 1) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). R(x,x \ y,z) * T((x \ y) * z,u) != w | (y * z) * K((x \ y) * z,u) = w. 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 * y != (z \ L(z,u,w)) * z | L(z,u,w) / y = x. L((x \ y) \ y,z,u) / x = (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y). (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. x != (y \ z) * K(y,u) | x = y \ (z * K(y,u)). x / R(y,y \ x,y) = y \ (x * K(y,x)). x != y \ (z * K(y,z)) | x = (y * K(z,y)) \ z. x / R(y,y \ x,y) = (y * K(x,y)) \ x. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). x != (R(y,z,u) \ ((R(y,z,u) * w) / R(y,z,u))) \ w | x = R(((y * K(w,y)) \ w) \ w,z,u). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R(((x * K(u,x)) \ u) \ u,y,z). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). x * 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). a(x,y,x) = ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w). ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = 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). L(x,y,a(z,u,z)) = x. 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). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). L(x,y,a(z,u,z)) != w | w = x. (a(x,y,x) * z) \ u != w | w = z \ (a(x,y,x) \ u). (a(x,y,x) * z) \ u != w | z \ (a(x,y,x) \ u) = w. a(x,y,x) / z = (1 / z) * a(x,y,x). (1 / x) * a(y,z,y) = a(y,z,y) / x. (a(x,y,x) * (z * u)) \ ((z * a(x,y,x)) * (u * w)) = L(w,u,z * a(x,y,x)). K(x,x \ y) * z = a(x,x \ y,x) * (K(x,y) * z). a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. (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) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,z * a(x,y,x)). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,a(z,u,z) * w) != v5 | v5 = L(x,y,w). L(x,y,a(z,u,z) * w) != v5 | L(x,y,w) = v5. L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). L(x,y,z * a(u,w,u)) = L(x,y,z). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,R(z,u,z)) = L(x,y,z). L(x,y,z) = L(x,y,L(z,u,z)). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,T(z * u,z)) = L(x,y,u * z). L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). L(x,y,K(z,u)) = L(x,y,K(z,z * u)). L(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,T(z,u)) = L(x,y,(u \ z) * u). L(x,y,(z \ u) * z) = L(x,y,T(u,z)). a(x,x \ y,x) * ((y * x) \ z) = K(x,x \ y) * ((x * y) \ z). x * y != (a(z,u,z) * w) * v5 | x \ (a(z,u,z) * (w * v5)) = y. (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (L(u,z,a(x,y,x)) * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). x / y = a(z,u,z) * ((a(z,u,z) \ x) / y). a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(T(x * y,x),z,u) = a(y * x,z,u). 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(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). x != a(K(y,z),z,u) | x = 1. a(K(x,y),x \ 1,z) = 1. 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). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | x = a(y,z,y) * (u / w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). x != a(y,z,y) | 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). x != K(y,z) * a(y,y \ z,y) | x = K(y,y \ z). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). K(x,(x \ y) * z) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,(x \ y) * z). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). x != K(y,R(T(y,z),u,w) / v5) | x = K(y,v5 \ R(y,u,w)). K(x,y \ x) = K(x,y \ R(x,z,u)). K(x,y \ R(x,z,u)) = K(x,y \ x). x != K(y,R(z,u,w) \ R(y,u,w)) | x = K(R(y,u,w),z \ y). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). x != K(R(y,z,u),R(y / w,w,L(K(v5,y),v6,v7)) \ y) | x = K(R(y,z,u),w). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). 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(K(x,y),z,u) = K(x,R(y,z,u)). K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = K(x,R(y,z,u)) * 1. K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). 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). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). x != K(y,z) * K(z,R(y,u,w)) | x = a(K(z,y),u * y,w). a(K(x,y),z,u) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = a(K(x,y),z,u). K(a(K(x,y),z,u),w) = K(w,K(x,y) * K(R(y,z,u),x)). K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). 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). 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). K(a(K(x,y),z,u),w) = a(K(x,K(y,w)),z,u). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,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)). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). 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. (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). x != L(a(y,L(z,u,w),y),L(z,u,w),w * u) | x = (w * (u * z)) \ (w * (u * (T(y * z,y) / y))). a(x,L(y * K(z * u,y),u,z),x) = (z * (u * y)) \ (z * (u * (T(x * y,x) / x))). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x != K(a(K(y,z),u,w),v5) | x = a(K(y,K(z,v5)),u,w). a(K(x,K(y,z)),u,w) = a(K(y,K(x,z)),u * x,w). a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). a(x,y,R(x,z,u)) = a(x,T(y,x),L(x,w,v5)). a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). x != a(y,y \ z,L(y,u,w)) | x = a(L(y,u,w),L(y,u,w) \ z,L(y,u,w)). a(x,y,R(x,z,u)) = a(L(x,w,v5),L(x,w,v5) \ (y * x),L(x,w,v5)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). 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)). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),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 = L(y,z,a(u,w,u)). R(x,y,a(z,u,z)) = L(x,w,a(v5,v6,v5)). 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. T(x,(y * z) * y) = T(x,y * (z * y)). x / T(x,y) = K(y * a(z,u,z),x). K(x * a(y,z,y),u) = u / T(u,x). 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) / 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). K(x * a(y,z,y),u) = K(x,u). K(x * a(y,z,y),u) != w | K(x,u) = w. K(a(x,y,x) * z,u) != w | K(z,u) = w. K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x,y) = K(a(z,u,z) * x,y). K(a(x,y,x) * z,u) = K(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,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,a(y,z,y) \ u) = x * K(x,u). T(x,K(y,z) * (K(z,y * z) * u)) = T(x,u). T(x,K(y,z) * u) = T(x,K(y * z,z) * u). T(x,K(y * z,z) * u) = T(x,K(y,z) * u). T(x,K(y,z * y) * u) = T(x,K(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 \ 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). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). L(T(x,a(y,z,y)),a(y,z,y),u) = ((a(y,z,y) * u) \ (u * x)) * a(y,z,y). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). L(x,y,a(z,u,z)) = L(T(x,a(z,u,z)),a(z,u,z),y). L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). x != L(y,z,a(u,w,u)) | x = y. L(x,a(y,z,y),u) = x. a(x,y,x) \ (z \ u) = (z * a(x,y,x)) \ u. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). (x * a(y,z,y)) * u = x * (a(y,z,y) * u). R(x,a(y,z,y),u) = x. x != (y * a(z,u,z)) * w | x = a(z,u,z) * (y * w). x * (a(y,z,y) * u) = a(y,z,y) * (x * u). a(x,y,x) * (z * u) = z * (a(x,y,x) * u). x * y != (z * a(u,w,u)) * v5 | x \ (z * (a(u,w,u) * v5)) = 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) = 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 * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). x * (a(y,z,y) \ 1) = x / a(y,z,y). R(x,y \ R(y,z,y),u) = x. x * (y \ L(y,z,y)) = x / a(y,z,y). x * (y \ L(y,z,y)) = a(y,z,y) \ x. x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. K(x \ y,z) = K(y / T(x,y),z). K(x / T(y,x),z) = K(y \ x,z). K(x / T(y,x),z) != u | K(y \ x,z) = u. x * K(y \ x,z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(y \ x,z). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. x != L(y * K(z,u),K(u,z),y * K(z,u)) | x = T(K(z,u) * y,y). x * K(y,z) = T(K(y,z) * x,x). T(K(x,y) * z,z) = z * K(x,y). (x * K(y,z)) * x = x * (K(y,z) * x). (x * (K(y,z) * x)) / x = x * K(y,z). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). x * (x * K(y,z)) = (K(y,z) * x) * x. (K(x,y) * z) * z = z * (z * K(x,y)). 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). x * y != z * T(u,T(z,w)) | T(u * z,K(z,w)) / y = x. 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)). a(x,y,x) = a(x,T(y,z),x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). x != a(y,(z * (u * w)) / (z * u),y) | x = L(a(y,w,y),u * w,z). a(x,(y * z) \ (y * (z * u)),x) = L(a(x,u,x),z * u,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). x != L(a(y,z,y),u,w) | x = a(y,z,y). a(x,L(y,z,u),x) = a(x,y,x). a(x,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)). x != a(y,R(z / u,u,w),y) | x = a(y,(u * w) \ (z * w),y). a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). 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 * (a(x,y,x) \ u)) = z * u. a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). ((a(x,y,x) * z) * u) / (z * u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). a(x,R(y,z,u),x) = R(a(x,y,x),y * z,u). R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). x != R(a(y,z,y),u,w) | x = a(y,z,y). a(x,R(y,z,u),x) = a(x,y,x). x != a(y,R(z \ u,z,w),y) | x = a(y,(z * w) \ (u * w),y). 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,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). 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). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). x != (y * z) / (z * T(y,u)) | x = T(K(u,y) * K(y,z),z). K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). 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). 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). 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 != R(y,z \ R(z,u,z),z \ L(z,u,z)) | x = (y * (z \ R(z,u,z))) * (z \ L(z,u,z)). x = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. (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. L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). 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 * (a(z,u,z) * w)) = T(x,y * w). K(x / L(y,z,y),u) = K(x / y,u). K(R(x,y,x) * z,u) = K(x * z,u). 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(R(x,u,x) \ y,z). K(R(x,y,x) \ z,u) = K(x \ z,u). 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(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). L(x,y,z * (u * a(w,v5,w))) = L(x,y,z * u). T(x,y * T(z,z * u)) = T(x,y * T(z,u)). 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 * L(z,u,z)) = K(x,y * z). x != K(y,z) | x = (z * y) \ (y * z). K(x,a(y,z,y) * u) = (u * x) \ (x * u). K(x,y * a(z,u,z)) = K(x,y). K(x,R(y,z,y) * u) = K(x,y * u). K(x,L(y,z,y) \ u) = K(x,y \ u). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,y * (a(z,u,z) * w)) = K(x,y * w). K(x,T(y,z) / z) = K(x,z \ y). L(K(x,y \ z),u,w) = K(x,L(T(z,y) / y,u,w)). K(x,L(T(y,z) / z,u,w)) = L(K(x,z \ y),u,w). K(x / T(y / z,y),u) = K(x / (z \ y),u). K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). 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). x != y * a(y,z,y) | x = R(y,z,y). R(x,L(y,z,u),x) = R(x,y,x). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,y * T(z / u,z)) = K(x,y * (u \ z)). K(x,((y \ z) \ 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,T(y / z,y) \ u) = K(x,(z \ y) \ u). K(x,y \ 1) * (z * y) = (K(x,y \ 1) * z) * y. (K(x,y \ 1) * z) * y = K(x,y \ 1) * (z * y). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). L(x,y \ z,K(y,z)) = x. L(x,y,K(z,u)) = L(x,y,K(u \ z,u)). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). L(x,y,K(z \ (u * w),w)) = L(x,y,K(z \ u,w)). L(x,y,K(z / ((u \ w) \ w),z)) = L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))). L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(z / ((u \ w) \ w),z)). 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). L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. T(x,y * z) = T(x,y * (a(u,w,u) \ z)). T(x,y * (a(z,u,z) \ w)) = T(x,y * w). T(x,y * T(z * u,z)) = T(x,y * (u * z)). T(x,L(y,z,y) * u) = T(x,y * u). T(x,y * T(z,u)) = T(x,y * ((u \ z) * u)). T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). 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. 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). K(x,y \ z) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). 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 \ K(z,z \ u)) = K(x,y \ K(z,u)). K(x,y \ R(z,u,z)) = K(x,y \ z). 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(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)). x != K(y,z * (L(z,u,w) \ y)) | x = K(y,y * (L(z,u,w) \ z)). a(x,y,K(z,u)) = K(z,z * (L(u,y,x) \ u)). K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). L(x,y,a(z,u,K(y,w))) = x. a(x,y,a(z,u,K(w \ 1,v5))) = a(x,y,K(v5 * (L(v5,u,z) \ (w \ 1)),w)). a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). 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 != K(y,z) * (y \ L(y,u,y)) | x = y \ L(T(y,z),u,y). a(x,y,K(z,u)) = z \ L(T(z,L(u,y,x) \ u),a(x,y,u),z). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). x != a(y,z,K(u \ (w \ v5),w)) | x = a(y,z,K(u \ v5,w)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(L(w,u,z) \ w,v5)). a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(a(z,u,w),x)) = K(x,L(w,u,z) \ w). K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). x != T((y \ 1) \ 1,z) / ((T(y,z) \ 1) \ K(u,y)) | x = K(y,u). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). 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)). (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). 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). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,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,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). x != K(y,T((z \ 1) * (u * z),z)) | x = K(y,L(u,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). x != R(K(y,z),u,w) | x = K(y,R(z,u,w)). K(x,L(y,z,z \ 1)) = K(x,R(y,z,z \ 1)). K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). K(x,y * (z \ 1)) = K(x,L(y / z,z,z \ 1)). K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). K(x,K(y,z * u)) = K(x,K(y,(z \ 1) \ u)). K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). x != K(y,K(z \ (u * w),w \ (u \ 1))) | x = K(y,K(u * w,(u \ z) \ w)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). 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,w \ L(w,u,z))) | x = K(y,K(z * u,a(z,u,w))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),z * (u * w))) | x = K(y,K(a(z,u,w),(z * u) * w)). K(x,K(y * z,a(y,z,u))) = K(x,K(a(y,z,u),(y * z) * u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),(z * u) * w)) | x = K(a(z,u,w),T((((z * u) * w) \ 1) * ((y \ ((z * u) * w)) * y),z * (u * w))). K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),T(v5,z * (u * w)))) | x = a(K(y,K(z,v5)),u,w). K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). K(x,K(y * z,a(y,z,u))) = 1. 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. 1 * (x * (y * z)) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). (x * (y * z)) * K(u,a(x,y,z)) = K(u,a(x,y,z)) * (x * (y * z)). K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). x != K(y,((z * u) * w) / (z * (u * w))) | x = R(K(y,z \ R(z,u,w)),R(z,u,w),u * w). K(x,a(y,z,u)) = R(K(x,y \ R(y,z,u)),R(y,z,u),z * u). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). x != a(K(y,R(z,R(z,u,w),v5)),u * z,w) | x = a(K(y,z),u * z,w). K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w). K(x,a(y,z,u)) = a(K(x,y),z,u). K(x,T(a(y,z,u),w)) = a(K(x * K(w,x),y),z,u). a(K(x * K(y,x),z),u,w) = K(x,T(a(z,u,w),y)). x != a(K(y,z),u * z,w) | x = K(y,a(z,u,w)). K(x,a(y,z * y,u)) = K(x,a(y,z,u)). a(K(x,T(y,z)),u,w) = K(x,T(a(y,u,w),z)). K(x,T(a(y,z,u),w)) = a(K(x,T(y,w)),z,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). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). x != 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). x != K(y,((z \ u) * z) \ z) | x = K(y,z / u). K(x,T(y,z) \ z) = K(x,z / y). 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 * (L(z,u,z) \ w)) = K(x,y * (z \ w)). K(x,y * K(z,u)) = K(x,y * K(z,z * u)). K(x,y * K(z,z * u)) = K(x,y * K(z,u)). K(x,y * (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) / 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) = K(x * (z \ y),u). K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). K(x * (y / T(z,y)),u) = K(x * (z \ y),u). K(x * ((y * z) \ (y * u)),w) = K(x * L(z \ u,z,y),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). T(x,a(y,z,y) * u) != w | T(x,u) = w. T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). (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,y,x) * z) \ u = a(x,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). x != K(y,z) | x = (u * K(z,y)) \ u. K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). x != (a(y,z,y) * u) \ w | x = a(y,z,y) \ (u \ w). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). K(x,y) * T(z,u) = K(x,x * y) * T(a(x,y,x) * z,u). K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | x = K(w,(y * z) \ 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). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). 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)). 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). 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((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))). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). 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,y \ L(y,z,u)) | x = 1. K(x,a(y,z,x) \ 1) = 1. x * y != K(z,u \ L(u,w,v5)) | x \ K(z,a(v5,w,u) \ 1) = y. 1 \ K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). K(x,y \ L(y,z,u)) = 1 \ K(x,a(u,z,y) \ 1). 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). 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)). x != y * (z * K(u,K(w,y * z))) | x = T(y * z,K(u,L(w,z,y))). T(x * y,K(z,u)) = T(x * y,K(z,L(u,y,x))). T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). T(L(K(x,y),z,u),T(u * z,K(x,y))) = T(u * z,K(x,y)) \ (u * (z * K(x,y))). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)) = K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). x != T(L(y,z,u),T(w,y)) | x = L(T(y,w),z,u). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). x != K(y,K(T(z,K(y,u)),w)) | x = K(y,K(z,w)). K(x,K(y,z * u)) = K(x,K(z * u,L(T(y,z * u),u,z))). K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). 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. K(x,K(T((y / z) \ 1,u) \ w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). 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). x * K(x,x * y) = T(x,R(y \ 1,y,z) \ x). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). x != T(y,R(z \ 1,z,u) \ w) | x = T(y,(u / (z * u)) \ w). T(x,x * y) = T(x,(z / (y * z)) \ x). T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). x != T(y,(z / u) \ y) | x = T(y,(u * y) / z). T(x,x * (y / z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,x * (y / z)). T(x,(y * x) / z) = x * K(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). K(x,x * (y / z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). T(x,T(x * (y / z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). x != T(y,T((z * y) / u,w)) | x = T(y,T(z / (y \ u),w)). T(x,T(x * (y / z),u)) = T(x,T(y / (x \ z),u)). T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ 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((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). 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). x != a(y,z * K(u,u \ 1),w) | x = a(y,z,w). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ L(w,u,z),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). 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)). 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 * T(z,u)) = K(x,y * ((z \ u) \ u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x,y * T(z,z \ 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). L(x,y,z / T(u,z)) = L(x,y,u \ z). K(x / y,z) = K(T(y,x) \ x,z). K(T(x,y) \ y,z) = K(y / x,z). 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(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 * (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). K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). L(x,y,z * K(u * w,u)) = L(x,y,z * K(w,u)). 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)). x != L(y,z,u / T(w,u)) | x = L(y,z,w \ u). 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. x \ ((x * y) * (z \ T(z * L(y \ 1,y,x),K(u,w)))) = L(K(u,K(w,z * L(y \ 1,y,x))),(x * y) \ x,x * y). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). x != (K(y,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(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))). K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(((u \ w) \ w) \ z,z)). L(x,y,K(((z \ u) \ u) \ w,w)) = L(x,y,K(w / ((z \ u) \ u),T(z,z \ u))). L(x,y,K(z \ ((u \ z) * w),w)) = L(x,y,K(w / ((u \ z) \ z),T(u,u \ z))). x != L(y,z,K(u \ (w * v5),v5)) | x = L(y,z,K(u \ w,v5)). L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(w \ (u \ w),z)). 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 * (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,T(y * z,y) \ u) != w | K(x,(z * y) \ 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). a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | 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 * 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. L(x,y,K(z,x \ 1)) = x. 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)). T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). 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)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). 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). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). ((x * y) \ ((x * y) * (x \ 1))) \ 1 = T(x,x \ K(y,x * y)). (x \ 1) \ 1 = T(x,x \ K(y,x * y)). T(x,x \ K(y,x * y)) = (x \ 1) \ 1. T(x,x \ K(y,y * x)) = (x \ 1) \ 1. T(1 / (x \ y),(1 / (x \ y)) \ K(y,x)) = ((1 / (x \ y)) \ 1) \ 1. ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = ((1 / (x \ y)) \ 1) \ 1. ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = (x \ y) \ 1. x != ((1 / (y \ z)) \ K(z,y)) \ K(z,y) | x = T(1 / (y \ z),y \ T(z,y)). (x \ y) \ 1 = T(1 / (x \ y),x \ T(y,x)). T(1 / (x \ y),x \ T(y,x)) = (x \ y) \ 1. ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = 1 / (x \ y). x != ((y \ z) \ 1) * K(y \ T(z,y),(y \ z) \ 1) | x = K(z,y) / (y \ T(z,y)). 1 / (x \ y) = K(y,x) / (x \ T(y,x)). K(x,y) / (y \ T(x,y)) = 1 / (y \ x). x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,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,T(y,z),y \ 1) = R(x,T(y,z),T(y,z) \ 1). 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 * 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). a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). x != y \ R(y,z,z \ 1) | x = a(y,z,z \ 1). a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). T(a(x,y,z) \ 1,z) = a(x,y,z) \ 1. T(x,y \ L(y,y \ 1,z)) = x. x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. 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(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)). x != K(y,y \ (z * u)) | x = K(y,z * (y \ u)). K(x,(x \ y) * z) = K(x,y * (x \ z)). R(x,y,a(z,u,z)) != w | w = x. L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). (x * y) \ (T(x,z) * y) = L(T(K(x,z),x * y),x,u). L(T(K(x,y),x * z),x,u) = (x * z) \ (T(x,y) * z). L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). x != (y / z) * K(z / u,u) | 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 != y / R(z,z \ y,z) | x = (z \ y) * K(z,y). K(x,y) * (x \ y) = (x \ y) * K(x,y). (x \ y) * K(x,y) = K(x,y) * (x \ y). (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) != u | K(z,x) = u. (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). (x * y) \ (T(x,z) * y) != u | K(x,T(z,y)) = u. x != K(y,z) * (z \ u) | x = T(z,y) \ u. (x \ y) * K(z,T(x,y)) = T(x,z) \ y. K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). L(L(x,y,z),z * y,L(x,y,z)) = T((z * (y * x)) / (z * y),z * (y * x)). T((x * (y * z)) / (x * y),x * (y * z)) = L(L(z,y,x),x * y,L(z,y,x)). (x * y) \ (T(x,K((x * y) * z,u)) * y) = K(z * (x * y),K(x,u)). (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). 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)). 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)). K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,L(w,u,K(x,y))). K(x,L(T(y,z),u,z / (u * x))) != w | K(z / ((z / (u * x)) * u),y) = w. K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. 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). T(x,((y \ z) \ z) \ z) != u | T(x,z / y) = u. T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. 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)). T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. K(x,T(y,z) \ z) != u | K(x,z / y) = u. K(x,y) / T(y,z) = 1 / (K(y,x) * T(y,z)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). 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 \ 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)). T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). T(x,x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). x != T(y,y * (z / T(y,u))) | x = T(y,z). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). 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). 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) \ (y * z),u) = K(T(x,y) \ z,L(u,x,y)). K(T(x,y) \ z,L(u,x,y)) = K((x * y) \ (y * z),u). (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). K(x,L(L(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. 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). T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. 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)). 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). 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)). 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)). K((x * y) / z,y) = K((z / x) \ y,y). T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). 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)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). x != K(y,(y \ z) \ u) | x = K(y,z \ (y * u)). K(x,a(x,y,y \ 1) \ z) = K(x,((y * x) * (y \ 1)) \ (x * z)). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). x != K(y,((z * y) * (z \ 1)) \ u) | x = K(y,y \ u). 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. 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)). (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). x != T(y,K(z,z * u)) | x = z * T(z \ y,K(z,u)). K(x,y) * T(z,K(y,u / T(y,w))) = y * T(y \ (K(x,y) * z),K(y,u)). 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,K(x,y) * z)). K((x * y) / x,1 / ((x * z) / x)) = K(y,1 / z). (((x * y) / x) \ z) * K(y,1 / y) = (1 / (1 / ((x * y) / x))) \ z. (x \ 1) * K(x,1 / x) = (1 / (1 / ((y * x) / y))) \ K(y,x). (1 / (1 / ((x * y) / x))) \ K(x,y) = (y \ 1) * K(y,1 / y). x != (y \ z) * K(y,z / y) | x = z / y. (1 / (1 / ((x * y) / x))) \ K(x,y) = 1 / y. (1 / ((x * y) / x)) \ T(1 / y,1 / (1 / ((x * y) / x))) = (1 / y) * (1 / (1 / ((x * y) / x))). (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)). 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,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). x != K(y,z \ ((u \ z) * y)) | x = K(y,T(u \ y,z)). K(x,T((y \ z) * x,z)) = K(x,T(((y \ z) \ 1) \ x,y)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T(1 \ ((y \ z) * x),y)). K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). K((x * ((y * 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) \ y) \ (z \ u),z) | x = K(u,z). K(x \ y,x) = K((1 / ((z * x) \ z)) \ y,x). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). x != K((1 / y) \ z,u) | x = K((y \ 1) \ z,u). K(x \ y,x) = K((((z * x) \ z) \ 1) \ y,x). K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). x != K((((y * z) \ y) \ 1) \ u,z) | x = K(u * ((y * z) \ y),z). K(x \ y,x) = K(y * ((z * x) \ z),x). K(x * ((y * z) \ y),z) = K(z \ x,z). x != K(y * ((z * u) \ 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). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). x != T((y \ z) * y,u) \ T(z,u) | x = K(y,T(y \ z,u)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ (x \ z))). K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). x != K(y,T(z,u \ (y \ w))) | x = K(y,T(z,u \ w)). K(x,y * ((x * z) \ z)) = K(x,T(x \ y,z \ z)). K(x,y * ((x * z) \ z)) = K(x,x \ y). x != K(y,z * ((y * u) \ u)) | x = K(y,R(y \ 1,y,u) * z). K(x,x \ y) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,x \ z). x != K(y,R(y \ 1,y,z) * u) | x = K(y,u * (z / (y * z))). K(x,x \ y) = K(x,y * (z / (x * z))). K(x,y * (z / (x * z))) = K(x,x \ y). x != K(y \ z,u * (w / ((y \ z) * y))) | x = K(y \ z,u * (w / z)). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). 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,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 \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. (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 != (y * K(z,K(u,w))) / w | x = y / T(w,K(z,u)). T(K(x,y) / z,K(u,x)) = K(x,y) / T(z,K(x,u)). K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. x != K(y,z * ((y * u) \ u)) | x = K(y,y \ z). K(x,y * ((z * x) \ z)) = K(x,x \ y). a(K(x,x \ y) * ((x * y) \ z),u,w) = a((y * x) \ z,u,w). (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). (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)) * y = (x / (z * y)) * ((z * y) / z). (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). x != K(y \ T(z,y),u) | x = K(z / y,u). K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). x != y * z | x = (K(y,z) * u) / ((z * y) \ u). ((x * y) * z) * a(z,x,y) = (K(K(x * y,z),(z * x) * y) * u) / ((((z * x) * y) * K(x * y,z)) \ u). (K(K(x * y,z),(z * x) * y) * u) / ((((z * x) * y) * K(x * y,z)) \ u) = ((x * y) * z) * a(z,x,y). ((x * y) * z) \ ((x * y) * (z * u)) = L(L(u,z,y * x),(y * x) * z,K(x,y)). L(L(x,y,z * u),(z * u) * y,K(u,z)) = ((u * z) * y) \ ((u * z) * (y * x)). (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). L(L(x,y,z * u),(z * u) * y,K(u,z)) != w | L(x,y,u * z) = w. L(x,y,z * x) = L(x,y,x * z). L(x,y,(x \ z) * x) = L(x,y,z). K(x,y / (x * z)) != u | K(x,x \ (y / z)) = u. (K(x,K(y * z,(x * y) * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). (K(x,K(y * z,y * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). (K(x,1) * y) / ((((x * z) * u) * K(z * u,x)) \ y) = ((z * u) * x) * a(x,z,u). (1 * x) / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). x / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). x / ((R(y,z,u) * T(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). x != (((y \ z) * u) * y) * a(y,y \ z,u) | x = K((y \ z) * u,y) * (z * u). R(x,x \ y,z) * T((x \ y) * z,x) = K((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 * 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 \ x) * y,z) = K((z \ x) * y,z) * (x * y). K((x \ y) * z,x) * (y * z) = (y * z) * K((x \ y) * z,x). (x * (y * z)) / ((y * z) * K((x \ y) * z,x)) = T(x,(x \ y) * z). (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). 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(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,L((z * y) \ u,u,z \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). 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. 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 \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). K(x,L((y * z) \ y,u,w)) != v5 | K(x,L(z \ 1,u,w)) = v5. K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. 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(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. (x * (y * z)) \ ((x * y) * (z * K(a(x,y,z),u))) = T(a(x,y,z),L(u,z,x * y)). ((x * y) / z) \ (x * (y * K(z,L(y \ 1,x * y,u)))) = T(z,(u * (x * y)) \ (u * x)). T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z * u,y)))). x * K(y,x * ((z * y) \ z)) = y * (x / y). K(x * K(y,y \ z),u) = K(x * K(y,z),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 \ 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,a(y,z,y) * u) != w | K(x,u) = w. K(x,y \ T(z,y)) != u | K(x,z / y) = u. K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). x != K(y * (z \ u),z) | x = K(z \ (y * u),z). L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). K((x \ 1) \ y,z) = K(x * y,(x \ 1) \ (x \ z)). K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). K(x,L(L(y,z,u),w,y)) != v5 | K(x,L(y,z,u)) = v5. K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. x != K(y,L(z \ u,u,w)) | x = K(y,(w * z) \ (w * u)). K(x,L(y \ 1,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z * u,y)). K(x,L(y \ 1,z * y,u)) = K(x,(u * (z * y)) \ (u * z)). K(R(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). L(x,y * K(z,x),u) = L(x,y,u). K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). 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)). x != K(y,(z * (u * w)) \ (z * u)) | x = K(y,L(w \ 1,u * w,z)). K(x,L(y \ 1,z,u)) = K(x,L(y \ 1,z * y,u)). K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). (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 * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z,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. (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))). 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). K(x \ T(y,z),x) = K(x \ y,T(x,z)). x != K((y * z) \ u,y * z) | x = K((z * y) \ u,y * z). 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 != 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)). x != K((y \ z) \ u,y \ z) | x = K(z \ (y * u),y \ z). 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(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 \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). 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). (x * y) \ (T(x,K(z,(x * y) * u)) * y) = K(u * (x * y),K(x,z)). K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. 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). x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). L(x,K(y \ (z * u),z \ y),(z \ y) * (u / (z \ y))) = x. K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). 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)). x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). ((x * y) * K(x,K(z,(x * y) * u))) / y = T(x,K(u * (x * y),z)). ((x * y) * K(x,K(z,y * u))) / y = T(x,K(u * (x * y),z)). T(x,T(y \ z,z)) != u | T(x,z / y) = u. 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 \ 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). 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)). 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)). 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). K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. K(x,T((x * y) \ z,y)) != u | K(x,x \ (z / y)) = u. K(x \ y,(x \ y) \ (z / x)) = K(y / x,((x \ y) * x) \ z). K(x / y,((y \ x) * y) \ z) = K(y \ x,(y \ x) \ (z / y)). x != K(y \ z,(y \ z) \ u) | x = K(y \ z,z \ (y * u)). K(x / y,((y \ x) * y) \ z) = K(y \ x,x \ (y * (z / y))). x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w). K(x \ y,y \ (x * (z / x))) = K(y / x,T(y,x) \ 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 != ((y * z) / u) \ (y * (z * K(u,w))) | x = T(u,L(w,z,y)). T(x,(y * (z * u)) \ (y * z)) = T(x,L(L(u \ 1,z,y),u,z)). T(x,L(L(y \ 1,z,u),y,z)) = T(x,(u * (z * y)) \ (u * z)). (x * (T(y,x) * z)) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). L(x,y,z) = L(x,K(x,u) * y,z). L(x,K(x,y) * z,u) = L(x,z,u). L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). 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). 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)). 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)). K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). K(x \ y,x) * z = y * ((x * (y / x)) \ z). x * ((y * (x / y)) \ z) = K(y \ x,y) * z. T(x,K(y,y \ x) * z) = T(x,z). T(x,(y \ x) \ z) = T(x,(x / y) \ z). T(x,(x / y) \ z) = T(x,(y \ x) \ z). T(x,(x / y) * z) = T(x,(y \ x) * z). x != a(y,z,K(u,w \ z)) | x = a(y,w,K(u,w \ 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)). K(x,(y \ 1) \ (y \ z)) = K((y \ 1) \ (y \ x),z). K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). x != K((y \ 1) \ (y \ z),L(u,z / y,y)) | x = K(z,u). K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). x != T(y,y \ (((y \ z) * u) \ z)) | x = T(y,u \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). x != T(y,L(y * (z \ u),y \ 1,w) \ 1) | x = T(y,u \ (y \ z)). T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). x != T(y,z \ (u * (y \ 1))) | x = T(y,(z / (y \ 1)) \ u). T(x,y \ (x \ z)) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). x != T(y,(z / (y \ 1)) \ u) | x = T(y,((y \ 1) \ z) \ u). T(x,y \ (x \ z)) = T(x,((x \ 1) \ y) \ z). T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). x != T(y,(z * (y \ 1)) \ (y \ u)) | x = T(y,R(z,y \ 1,y) \ u). T(x,T(y,x \ 1) \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | x = T(y,z \ u). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). x != T(y,R(z,y \ 1,y) \ (y * u)) | x = T(y,(z * (y \ 1)) \ u). T(x,y \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). x != T(y,z \ (y * (u \ z))) | x = T(y,T(u \ 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). 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). L(x,y \ (y * z),x) = L(x,R(z,y,u),x). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). x != L(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. a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). 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 != K(y,a(z,u,w)) | x = a(K(y,z),u,w). a(x,y,K(z,u)) = a(K(z,x),y,u). a(K(x,y),z,u) = a(y,z,K(x,u)). a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. 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(x,a(y,z,x * z)) != u | 1 = u. 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)). K(a(x,y,z),y) = 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,K(z,u)) * (a(x,y,z) * w) = T(a(x,y,z),u) * w. a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). (x * (y * z)) \ ((x * y) * (z * a(x,y,K(z,u)))) = T(a(x,y,z),L(u,z,x * y)). T(a(x,y,z),y) = a(x,y,z). x != a(y,z,K(z * u,u)) | x = 1. a(K(x * y,z),x,y) = 1. a(K(x,y),z,z) = 1. a(x,x,K(y,z)) = 1. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). 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(a(y,z,u),w). a(K(x,y),z,u) = K(a(x,z,u),y). K(a(x,y,z),u) = a(K(x,u),y,z). 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 = K(y,a(z,u,w)). 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(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(x,z)). x != a(K(y,z),y \ 1,u) | x = 1. a(x,x \ 1,K(y,z)) = 1. (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). K(x,a(y,z,u)) = K(a(x,z,u),y). K(a(x,y,z),u) = K(x,a(u,y,z)). K(x,a(y,z,u)) = K(u,a(x,z,y)). K(a(x,y,z),a(u,w,v5)) = a(a(x,y,z),K(v5,u),w). x != a(y,z,K(z \ 1,u)) | x = 1. K(x,a(y,z,z \ 1)) = 1. x != a(y,z,K(u,z * u)) | x = 1. K(x,a(y * z,y,z)) = 1. 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))). a(x,y,K(z,u)) * x = T(x,a(u,y,z)). x * a(x,y,K(z,u)) = T(x,a(u,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))). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). K(x,a(y,z,a(u,w,v5))) = a(x,z,K(u,a(y,w,v5))). x != a(y,z,K(u,w)) | x = K(y,a(w,z,u)). K(x,a(y,z,a(u,w,v5))) = K(x,a(a(y,w,v5),z,u)). K(x,a(a(y,z,u),w,v5)) = K(x,a(y,w,a(v5,z,u))). K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * v6) = T(a(x,z,u),a(y,w,v5)) * v6. T(a(x,y,y \ 1),z) = a(x,y,y \ 1). 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 | a(x,y,z) = v5. x != K(a(y,z,u),w) | x = K(y,a(w,z,u)). a(a(x,y,z),K(u,w),v5) = K(x,a(a(w,v5,u),y,z)). K(x,a(a(y,z,u),w,v5)) = a(a(x,w,v5),K(u,y),z). x != K(y,a(a(z,u,w),v5,v6)) | x = K(y,a(z,v5,a(v6,u,w))). a(a(x,y,z),K(u,w),v5) = K(x,a(w,y,a(z,v5,u))). K(x,a(y,z,a(u,w,v5))) = a(a(x,z,u),K(v5,y),w). x != K(y,a(z,u,w)) | x = K(a(y,u,w),z). K(x,a(y,z,u)) = K(a(u,z,y),x). K(a(x,y,z),u) = K(u,a(z,y,x)). x != K(y,a(z,u,w)) | x = a(y,u,K(w,z)). K(x,a(y,z,u)) = a(u,z,K(y,x)). K(x,y) * K(x,a(y,z,u)) = K(x,L(y,z,u)). a(x,y,K(z,u)) = a(K(u,z),y,x). a(K(x,y),z,u) = a(u,z,K(y,x)). x * a(y,z,K(u,x)) = T(x,a(u,z,y)). K(x,K(y,a(z,u,w))) = a(w,u,K(x,K(z,y))). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). x != y * a(z,u,K(w,y)) | x = T(y * K(w,y),L(w,u,z)). T(x,a(y,z,u)) = T(x * K(y,x),L(y,z,u)). T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). K(a(x,y,z),u) = a(K(u,z),y,x). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | w = K(x,y) * (z * u). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,z,y)). 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,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. a(x,y * z,K(u,z)) = a(z,y,K(x,u)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). 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,w)) | x = L(K(w,u),z,y) * K(u,w). a(x,y,K(z,u)) = L(K(z,x),y,u) * K(x,z). L(K(x,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 * 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,K(u,w)) = x * a(w,z,K(y,u)). 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(u,u \ w)). a(x,y,K(z,u)) = a(z,y,K(u,u \ x)). a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). 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(u,w)) | x = a(y,z,K(w * u,w)). a(x,y,K(z,u)) = a(z,y,K(x * u,x)). a(x,y,K(z * u,z)) = a(z,y,K(x,u)). x != a(y,z,K(u,w \ 1)) | x = a(y,z,K(w,u)). a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). a(x,y,K(z,y * x)) = 1. a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). 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(u,y,K(z,x)) * w. a(x,y,K(z,u)) * K(u,L(x,y,z)) = K(u,x). x * a(y \ 1,y,K(z,u)) != w | w = x. a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. x * a(x,y,K(z,u)) = T(x,a(z,y,u) \ x). a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). 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,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). x != K(y,L(z,u,w)) | 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),u,K(w,v5)) | z = a(x,u,K(y,K(w,v5))). a(x,y,K(z,K(u,w))) = a(x,z * y,K(z,K(u,w))). a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). 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))). L(K(x,y),z \ 1,z) = K(x,y). K(x,L(y,z \ 1,z)) = K(x,y). K((x * y) \ 1,z) = K(y \ (x \ 1),z). x != L(K((y \ z) \ u,z),y \ 1,y) | x = K(z \ (y * u),z). K((x \ y) \ z,y) = K(y \ (x * z),y). x != L(K((y \ 1) \ z,u),y \ 1,y) | x = K(y * z,u). K((x \ 1) \ y,z) = K(x * y,z). x != L(y,(z \ u) \ u,z \ u) | x = L(y,z,z \ u). K(x,y) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = 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). K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). 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(x \ y,z) = K((x \ 1) * y,z). K((x \ 1) * y,z) = K(x \ y,z). K((1 / x) \ y,z) = K(x * y,z). K(x * y,L(z,y,x)) = K(x * y,z). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. x * (y * K(x * y,z)) = T(x * y,z). T(x * K(y * x,z),y) = y \ T(x * y,z). (x * K(y * x,z)) * y = T(x * y,z). K(x * (y \ z),L(y,z,x)) = K(x * (y \ z),y). (x * y) * K(x * y,z) = T(x * y,L(z,y,x)). T(x * y,z) = T(x * y,L(z,y,x)). T(x * y,L(z,y,x)) = T(x * y,z). (x * (y * z)) / T(x * y,z) = L(z,y,x). (x * y) / T(x * y,z) = K(L(z,y,x),x * y). K(x,y * z) = K(L(x,z,y),y * z). K(L(x,y,z),z * y) = K(x,z * y). K(L(x,y,z),z * y) != u | K(x,z * y) = u. K(x,L(y * z,z,y)) = K(x,y * z). K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). x * y != K(z,u * w) * (u * (w * z)) | x \ (L(z,w,u) * (u * w)) = y. (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). K(x,L(y,z,z \ 1)) = K(x,y). x * y != L(K(z,u),w,w \ 1) | K(z,u) / y = x. K(x,y) / (z * K(x,y)) = 1 / z. x * y != L(K(z,u),w,w \ 1) | x \ K(z,u) = y. (1 / x) \ K(y,z) = x * K(y,z). x * K(x,y) = T(x,L(y,z,z \ 1)). T(x,L(y,z,z \ 1)) = x * K(x,y). K(x,R(y,z,z \ 1)) = K(x,y). K(x,L(y,z,z \ x)) = 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). K(x * y,L(z,x,y)) = K(x * y,z). x != K(y,(1 / (1 / z)) * u) | x = K(y,z * u). 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)) * K(z,y) = x \ 1. 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). (1 / x) \ K(y,z) != u | x * K(y,z) = u. (x \ K(y,z)) * T(z,y) = (x \ 1) * z. (x \ K(y,z)) \ (x \ 1) = K(z,y). 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)). x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = 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. 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 \ ((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). x != K(y,K(z,a(u,w,v5))) | x = a(v5,w,K(y,K(u,z))). 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))). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,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). (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) * K(y,z) = (z * T(y,x)) \ (y * z). (x * T(y,z)) \ (y * x) = K(z,y) * K(y,x). x != (y * z) * K(z,u) | x = y * T(z,u). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). 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). 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). x / T(x,y / z) = K(y * (1 / z),x). K(x * (1 / y),z) = z / T(z,x / y). K(x * (1 / y),z) = K(x / y,z). K(x * (y \ 1),z) = 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(z \ y,T(u,z)). K(x * (y \ 1),z) = K(y \ x,T(z,y)). K(x \ y,T(z,x)) = K(y * (x \ 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)). T(x,a(y,z,z \ 1)) = x. 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 | K(x,y) = u. K(x,L(y,z,z \ x)) != u | K(x,y) = u. K(x,y * (z \ 1)) != u | K(x,y / z) = u. L(K(x,y),z \ 1,z) != u | K(x,y) = u. K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. K((x \ 1) \ y,z) != u | K(x * y,z) = u. K((1 / x) \ y,z) != u | K(x * y,z) = u. 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))). 1 / (x * K(y,z)) = K(z,y) / x. K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). K(x * y,(z \ 1) \ u) = K((x \ 1) \ y,z * u). K((x \ 1) \ y,z * u) = K(x * y,(z \ 1) \ u). 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(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = x * K(x,y * z). L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. K((x \ 1) \ y,z) = K(x * y,(u \ 1) \ (u \ z)). K(x * y,(z \ 1) \ (z \ u)) = K((x \ 1) \ y,u). K(x,(y \ 1) \ (y \ z)) = K((u \ 1) \ (u \ x),z). K((x \ 1) \ (x \ y),z) = K(y,(u \ 1) \ (u \ z)). x != K(y \ z,L(u,z,z \ 1)) | x = K(((z \ 1) * y) \ 1,u). K(x,(y \ 1) \ (y \ L(z,u \ x,(u \ x) \ 1))) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). K(x,L((y \ 1) \ (y \ z),u \ x,(u \ x) \ 1)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). x != K(y,L(z,u \ y,(u \ y) \ 1)) | x = K(y,L(z,u \ y,u)). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,L((u \ 1) \ (u \ z),x \ y,x)). K(x,L((y \ 1) \ (y \ z),u \ x,u)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). x != K(y,L((z \ 1) \ (z \ u),z \ y,z)) | x = K(y,u). 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). x * y != K((((z \ u) \ 1) * (z \ 1)) \ 1,w) | x \ K(u,w) = y. (1 / (x \ y)) \ K(y,z) = x \ T(y,z). T(x,y) / ((1 / z) \ x) = K(x,y) / z. x != K(y,z) / z | x = 1 / T(z,y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). (x \ y) * K(y,z) = x \ T(y,z). (1 / x) \ K(y,z) = (y / x) \ T(y,z). x * K(y,z) = (y / x) \ T(y,z). (x / y) \ T(x,z) = y * K(x,z). (x \ y) \ (x \ T(y,z)) = K(y,z). (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). R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). 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 != T(y,z) / ((1 / u) \ y) | x = K(y,z) / u. K(x,y) * (1 / z) = K(x,y) / z. T(x,y) / z = K(x,y) * (x / z). K(x,y) * (x / z) = T(x,y) / z. K(x,y) * (K(y,x) / z) = 1 / z. x != y * (1 / T(z,u)) | x = y * (K(u,z) / z). K(x,y) / T(z,u) = K(x,y) * (K(u,z) / z). K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. T(x,y) * (K(y,x) / z) = x * (1 / z). 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) * 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 = z \ K(y,x). (K(x,y) * z) \ 1 != u | u = z \ K(y,x). (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. a(x,K(y,z) * u,w) = a(x,(u \ K(z,y)) \ 1,w). a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). 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(y,z)),w). K(x * ((y \ z) \ K(y,u)),w) = K(x / (T(y,u) \ z),w). T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. L(K(x,y),z,z) = K(x,y). L(x,a(y,z,u),x) = x. T(x / a(y,z,u),x) = a(y,z,u) \ x. (x * (a(y,z,u) * x)) / x = x * a(y,z,u). T(x,a(y,z,u)) != w | T(x,x * a(y,z,u)) = w. L(x,y,K(y * x,z)) = x. T(x,a(y * z,y,z)) = x. a(x,y,K(z,y * x)) * u = u. (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. a(x,y,y \ 1) \ z = z / a(x,y,y \ 1). x / a(y,z,z \ 1) = 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 * (a(y,z,z \ 1) * u) != w | x * (u * a(y,z,z \ 1)) = w. T(x,a(y,z \ 1,z)) = x. T(x,y \ (z * ((y \ z) \ 1))) = x. (x * x) * K(y,z) = x * (x * K(y,z)). L(x,y / x,K(y,z)) = x. T(a(x,y \ 1,y),z) = a(x,y \ 1,y). x != L(y,z / y,u) | x = L(y,y \ z,u). x = L(x,x \ y,K(y,z)). L(x,x \ y,K(y,z)) = x. T(x,y) / z = K(y,x) \ (x / z). K(x,y) \ (y / z) = T(y,x) / z. L(x / y,y,K(x,z)) = x / y. K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K(x,y) * (1 / z) = K(x,L(y,u \ 1,u)) / z. K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). 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). x * K(x,y) = T(x,R(y,z,z \ 1)). T(x,R(y,z,z \ 1)) = x * K(x,y). K(x,L(y * z,y,z)) = K(x,y * z). 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). K(x,a(y,z,x * (z * y))) != u | 1 = u. x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). 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). 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))). x != K(y,z) | x = K(T(z,y),y) \ 1. K(x,(y \ 1) * z) = K(T(y \ z,x),x) \ 1. K(T(x \ y,z),z) \ 1 = K(z,(x \ 1) * y). 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). 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)). 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 \ T(y,z)) * K(z,y) = x \ y. K(x,y) * z != u \ T(x,y) | T(u \ x,K(x,y)) = z. 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 \ 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) \ (x \ T(y,z)) != u | u = K(y,z). (x \ y) \ (x \ T(y,z)) != u | K(y,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). T(x \ y,x) * K(y,z) = T(x,x \ y) \ T(y,z). T(x,x \ y) \ T(y,z) = T(x \ y,x) * K(y,z). (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). 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). (T(x,y) * z) \ T(x,y) = (x * z) \ x. x \ T(y,z) = (K(z,y) * x) \ y. (K(x,y) * z) \ y = z \ T(y,x). 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. T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). (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. (K(x,y) * z) * T(z \ 1,u) = K(x,y) * K(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). (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. ((x \ y) \ z) \ 1 = ((y / x) \ z) \ K(x \ y,x). ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). ((x / y) \ z) \ 1 = ((y \ x) \ z) \ K(y,y \ x). ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. (x \ K(y,z)) \ (1 / (K(z,y) * x)) = K(K(z,y) * x,(K(z,y) * x) \ 1). K(x,y * (z \ K(u,w))) = K(x,y / (K(w,u) * z)). K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). (x \ (y * ((x \ y) \ 1))) \ z = z / (x \ (y * ((x \ y) \ 1))). x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. x * K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,x). (x \ y) * K(z,y * K(z,y)) = x \ (y * K(z,y)). (x \ y) * K(z,y) = (K(y,z) * x) \ y. (K(x,y) * z) \ x = (z \ x) * K(y,x). T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). T(K(x,y) * L(z,u,w),x) \ y = L(T(z,x),u,w) \ T(y,x). K((x \ T(y,z)) \ y,u) = K(K(z,y) * x,T(u,y)). K(x,y) / (z \ 1) != u | u = K(x,y) * z. K(x,y) / (z \ 1) != u | K(x,y) * z = u. K(x,y) * (z \ 1) = (z * K(y,x)) \ 1. (x * K(y,z)) \ 1 = K(z,y) * (x \ 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((K(x,y) * (z \ 1)) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. K(x * (y * K(z,u)),w) = K(x * ((y \ 1) \ K(z,u)),w). K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. ((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)) = K(x,y) / (K(w,u) * z). (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. 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(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))). 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))). a(x,y,K(z \ 1,u)) * K(x,u) = K(x,L(u,y,(w * z) \ w)). K(x,L(y,z,(u * w) \ u)) = a(x,z,K(w \ 1,y)) * K(x,y). K(x,L(y,z,u)) * K(y,x) != w | w = a(x,z,K(u,y)). K(x,L(y,z,u)) * K(y,x) != w | a(x,z,K(u,y)) = w. a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). x != a(y,z,K(u,w)) * K(y,w) | x = K(y,L(w,z,u)). K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. K(x * y,L(z,x,y)) != u | K(x * y,z) = u. 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). K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. 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)). 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)). x != a(y,z,K(u,w)) | x = a(w,z,K(y,u)). a(x,y,K(z,u)) = a(u,x \ y,K(x,z)). a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). K(x,y) * a(z,u,K(y,x)) = K(x,L(y,z \ u,z)). K(x,L(y,z \ u,z)) = K(x,y) * a(z,u,K(y,x)). x != K(y,z) * a(u,w,K(z,y)) | x = K(y,L(z,w,u)). K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. K((x \ y) \ z,L(u,y,x)) = K(y \ (x * 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)). 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. x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = K(((y \ 1) \ K(u,y)) \ T(y,z),T(y,z) \ ((y \ 1) \ K(u,y))). 1 = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K((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)). 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 != 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). K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). L(x,y,z) * T(z * y,x) = z * (y * x). L(x,y \ z,y) * T(z,x) = y * ((y \ z) * x). (x * (y * z)) / T(x * y,z) != u | u = L(z,y,x). (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,T(u,y)),x) = w. 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). R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). x != y * K(z,z \ y) | x = z * (y / 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)). (x \ y) * K(z,y) = x \ (y * K(z,y)). x \ (y * K(z,y)) = (x \ y) * K(z,y). 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)). x \ ((y * z) / y) = (x \ z) * K(y,z). (x \ (y * K(z,y))) * z = (x \ y) * T(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). ((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). ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). (x * y) \ (z / (x \ z)) = (((x \ z) \ z) * y) \ ((x \ z) \ z). (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ (y / (x \ y)). 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,(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,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = 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). K(x \ y,x * z) = K((x * z) \ (z * y),x * z). K((x * y) \ (y * z),x * y) = K(x \ z,x * y). K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). K(x \ (y \ z),x * y) = K((y * x) \ z,x * y). K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). 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)). ((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 * 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 * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). (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)) \ 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)). K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). x != K(y,T((z \ 1) \ u,w)) | x = K(y,T(z * u,w)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,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 * 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)). 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,R((y * z) \ y,u,w)) = T(x,L(L(z \ 1,u,w),z,y)). 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. R(K(x,y),z,u) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,R(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,R(y,z,u)). K(x,L(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,L(u,y,z)). x != K((y * (z \ u)) * K(u,w),R(z / y,y,z \ u)) | x = K(y * (z \ u),T(R(z / y,y,z \ u),w)). 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)). K(x,(y * z) / (u * z)) = K(x,L(y / u,u,z)). K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). K(x,(y * z) \ (u * z)) = K(x,L(T(u / y,y * z),y,z)). K(x,L(T(y / z,z * u),z,u)) = K(x,(z * u) \ (y * u)). ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). 1 / K(x,L(y,z,u)) = K(R(y,z,u),x). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / 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)). 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 | 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,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. K(x,L(y,y \ z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. 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). K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. K(x,y) * (z * z) = (K(x,y) * z) * z. (K(x,y) * z) * z = K(x,y) * (z * z). K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). ((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). x != R(y,z,u) * T(z * u,y) | x = ((z * u) * y) * a(y,z,u). (x * y) * R(z,x,y) = ((x * y) * z) * a(z,x,y). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). x * y != R(z,u,w) * T(u * w,z) | x \ ((u * w) * R(z,u,w)) = y. ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). a(x * K(y * z,x),y,z) = a(x,y,z). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). L(x \ R(x,y,z),x,y * z) = a(x,y,z). x != K(y,L(z,u,w)) * (w * u) | x = w * (u * K(y,T(z,w * u))). (K(x,y) * z) * T(u,z) = u * (z * K(x,T(y,u * z))). x * (y * K(z,T(u,x * y))) = (K(z,u) * y) * T(x,y). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). 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,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,K(z,u) * x) = T(y * T(x,K(u,z)),K(u,z)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(u,z) * y). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * T(x,K(y,z))). x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) != w | w = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). x * y != T(z * T(x,K(u,w)),K(u,w)) | y = T(z,K(w,u) * x). T(x,K(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 != T(y,K(z * u,u) * w) | x = T(y,K(z,u) * w). T(x,K(y,z * y) * 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(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). T(x,T(y,z) \ u) = T(x,K(y,z) * (y \ u)). T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). 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,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) != w | K(x * K(z,y),u) = w. x != T(y,K(z,u) * T(w,K(u,z))) | x = T(y,w * K(u,z)). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). 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,z \ y) * u). K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). x != K(y,z) | x = (y * T(u,K(y,z))) \ (T(y,z) * 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) = 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,((y * z) / y) \ u) = K(x,T(z,y) \ 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))). K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. x != T(y,K(z,u) * w) | x = w \ T(y * T(w,K(u,z)),K(u,z)). T(x,T(y,z) * u) = (y * u) \ T(x * T(y * u,K(y,z)),K(y,z)). (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. (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(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(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). K(x / (y * z),u) = K(L((x / z) / y,y,z),u). K(L((x / y) / z,z,y),u) = K(x / (z * y),u). K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). T(x,K(y,z) * u) = T(x,K(y \ 1,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). 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). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). 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)) \ 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. K(x,T(y,z \ y) \ u) = K(x,T(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(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 != 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). 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)). K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. 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))). 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)). K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. 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 * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). x / T(x,y * T(z,u)) = K(y * ((u * z) / u),x). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ 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)). T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). x * y != T(z,u / ((w * v5) / w)) | x \ T(z,u / T(v5,w)) = y. x \ T(x,y / T(z,u)) = K(x,y / ((u * z) / u)). K(x,y / ((z * u) / z)) = x \ T(x,y / T(u,z)). K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y,z),u) = K(x * K(y \ 1,z),u). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). 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). K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). x != K(y * K(y \ z,u),T(w,z)) | x = K(z * T(y / z,u),w). 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). x != K((y \ z) \ (u * K(y,u)),T(y \ z,w)) | x = K(z \ (K(u,w) * (y * ((y * u) / y))),y \ z). K((x \ y) \ T(z,x),T(x \ y,u)) = K(y \ (K(z,u) * (x * ((x * z) / x))),x \ y). K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). 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)). 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)). 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 \ K(u \ 1,w)) | x = K(y,z \ K(u,w)). K(x,y \ T(z,1 / u)) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). x != K(y,(z \ u) \ K(w,z)) | x = K(y,u \ T(z,w)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). 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,w \ z),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)). K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). K((x * y) \ (y \ z),L(u,x,y)) != w | K((y * (x * y)) \ z,u) = w. K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. 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,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)). 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 != K(y,T(z,u \ K(w,v5))) | x = K(y,T(z,K(v5,w) * u)). K(x,T(y,z * K(u,w))) = K(x,T(y,K(w,u) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(u,z))). 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)). x * K(x,T(y,z * u)) = T(x,T(y,z \ u)). K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,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,z \ u)) = K(y,K(x,u / z)). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(T(y,z),u)) = K(x,K(y,u)). K(x,K(y,T(z,u))) = K(x,K(z,y)). x != K(y,K(z,T(u,w))) | x = K(u,K(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). K(x,K(y \ z,u)) = K(x,K(z / y,u)). K(x,K(y / z,u)) = K(x,K(z \ y,u)). K(x,T(K(y,z),u)) = K(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(x,T(y,u))). T(x,K(y,T(z,u))) = K(y,K(z,x)) * x. K(x,K(y,z / u)) = K(x,K(y,u \ z)). 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)) = K(x,K(y,u * z)). K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). x * K(y,K(z,u)) != K(y,T(K(z,u),w)) | 1 = x. 1 = K(K(x,y),K(z,u)). K(K(x,y),K(z,u)) = 1. 1 = K(x,K(y,K(z,u))). K(x,K(y,K(z,u))) = 1. x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). 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). x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). T(x,K(y,K(z,u))) = x. T(K(x,y),K(z,u)) = K(x,y). K(x,y * K(z,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(T(x,K(y,z)),u) = K(x,u). K(x,y) = K(x,T(y,K(z,u))). K(x,T(y,K(z,u))) = K(x,y). K(x,y \ K(z,u)) = K(x,K(z,u) / y). K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(x,y) * K(z,u) = K(z,u) * K(x,y). K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y). T(x,y) * K(z,u) = (x * K(z,u)) * K(x,y). (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x * K(y,z),u) = K(K(y,z) * x,u). K(K(x,y) * z,u) = K(z * K(x,y),u). K(K(x,y) * (z * x),u) = K(z * T(x,y),u). K((x * K(y,z)) \ u,w) = K(L((x \ u) / K(y,z),K(y,z),x),w). K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). x != K(y * K(z,u),z) | x = K(y,z). K(x * K(y,z),T(y,K(u,w))) = K(x,y). x != K((y * z) \ u,T(w,z)) | x = K(((y \ u) * y) / (z * y),w). K((x * K(y,z)) \ u,w) = K(((x \ u) * x) / (K(y,z) * x),w). K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). x != K(T(y,z) * u,T(w,K(y,z))) | x = K(u * T(y,z),T(w,y)). 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,T(y,T(z,u))) = K(x,T(y,z)). K(T(x,K(y,z)),u) != w | K(x,u) = w. K(x,T(y,z \ u)) = K(x,T(y,u / z)). K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x * 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,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,y * K(z,u)) = K(x,K(u,z) \ y). K(x,K(y,z) \ u) = K(x,u * K(z,y)). L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). 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)). T(K(x,y),T(z,u)) = K(x,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)). 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 \ z) * y) * u,T(w,T(z,y))) | x = K((u * z) * K(y \ z,y),w). K(((x \ y) * x) * z,T(u,y)) = K((z * y) * K(x \ y,x),u). K((x * y) * K(z \ y,z),u) = K(((z \ y) * z) * x,T(u,y)). 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(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. T(x,K(y,z) * u) = T(x,u * K(y,z)). T(x,T(y,K(z,u))) = T(x,y). (x * y) * K(x,K(z,u)) = T(x,K(z,u)) * y. x != T(T(y,z) \ u,K(y,z)) | x = T(u / T(y,z),y). T(x,K(y,z)) \ u = T(u / T(x,K(y,z)),x). T(x / T(y,K(z,u)),y) = T(y,K(z,u)) \ x. 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,z)) * u = x * (u * K(x,K(y,z))). x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. T(x,K(y,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,z)) = T(x,K(u,z) * y). 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)). T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. T(x,K(y,T(z,u))) = T(x,K(z,y)). T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. K(x,K(y,z)) * (u * K(x,K(y,z))) = u. x * y != z * (u * K(w,K(v5,v6))) | (z * (K(w,K(v5,v6)) * u)) / y = x. (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. x * y != K(z,K(u,w)) * (K(z,K(u,w)) * v5) | x \ v5 = y. K(x,K(y,z)) \ u = u * K(x,K(y,z)). x * y != K(z,K(u,w)) * (K(z,K(u,w)) * (x * v5)) | y = v5. (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. (K(x,K(y,z)) * u) * w != v5 * (u * K(x,K(y,z))) | T(v5,K(x,K(y,z)) * u) = w. K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. 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 / 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,L(z,u,w))) * (w * u) = w * (u * K(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 / 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)). (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). K(x,K(y,z)) * u = u * K(y,K(x,z)). x != K(y,K(z,L(u,w,v5))) * (v5 * w) | x = (K(y,1 / K(z,u)) * w) * T(v5,w). x * (y * K(z,K(u,w))) = (K(z,1 / K(u,w)) * y) * T(x,y). (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). T(x,K(y,K(z,u)) * w) = T(x,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,z / u)) = T(x,K(y,u \ z)). a(T(K(x,K(y,z)) * u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). 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) \ w) = T(x,(u * K(y,z)) \ w). T(x,(y * K(z,u)) * w) = T(x,(K(z,u) * y) * w). T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). x != T(y,z) | x = K(y,z) * y. T(x,y * K(z,K(u,w))) = K(x,y) * x. x / T(x,y) = K(y * K(z,K(u,w)),x). K(x * K(y,K(z,u)),w) = w / T(w,x). K(x * K(y,K(z,u)),w) = K(x,w). K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K(T(x,K(y,z)) * u,w) != v5 | K(x * u,w) = v5. K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. K(x,y) = K(K(z,K(u,w)) * x,y). K(K(x,K(y,z)) * u,w) = K(u,w). K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,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). K(x * K(y,z),u) != w | K(K(y \ 1,z) * x,u) = w. 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)). 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 * K(y,z),u) = K(K(z,y) * x,u). K(K(x,y) * z,u) = K(z * K(y,x),u). K(K(x,y) \ z,u) = K(z * K(y,x),u). T(x,K(y,z)) * K(K(z,y) * x,u) = K(y,z) * T(x * K(z,y),u). x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. 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,T(y,z * u)) = T(x,T(y,u * z)). T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). T(x,y * K(z,u)) = T(x,K(u,z) \ y). T(x,K(y,z) \ u) = T(x,u * K(z,y)). x / (y * K(z,x)) = T(x,z) / y. L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). K(K(x,y),T(z,u)) = K(x,K(y,z)). 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(z * y,u)). 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)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). x != T(K((y * (z / y)) * u,w),T(z,y)) | x = (y * (z / y)) \ (K(y,y \ z) * (z * K(u * (y * (z / y)),w))). K((x * (y / x)) * z,T(u,y)) = (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))). (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = K((x * (y / x)) * z,T(u,y)). 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. 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(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(x \ (y * K(z,u)),w) = K(x \ (K(z,u) * y),w). K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). x / (y * x) = T(x,z) / (y * T(x,z)). T(x,y) / (z * T(x,y)) = x / (z * x). K(K(x,y),z * u) = K(x,K(y,u * z)). T(x,L(y,z,z \ 1)) != u | T(x,y) = u. T(x,R(y,z,z \ 1)) = T(x,y). R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). K(x,L(L(y,z,u) * (y \ w),y \ w,L((y \ w) \ w,z,u))) = K(x,(y \ w) * L((y \ w) \ w,z,u)). K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = 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((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. 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(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). 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,K(z,u)) = a(x,y * x,K(z,u)). a(x,y * x,K(z,u)) = a(x,y,K(z,u)). a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),u \ 1). 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,K(z,u)) = a(u,y,K(u \ x,z)). a(x,y,K(x \ z,u)) = a(z,y,K(u,x)). a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). K((x * y) \ 1,z) != u | K(y \ (x \ 1),z) = u. x != K(y * K(z,u),w) | x = K(K(z,u) * y,w). K(K(x,y) * z,u) = K(K(y,x) * z,u). K(K(x \ 1,x) * y,z) != u | K(y,z) = u. K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). 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(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. T(x,K(y,z)) * K(K(y,z) * x,u) = K(z,y) * T(x * K(y,z),u). 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). K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). K(x,y * K(z,u)) = K(x,K(u,z) * y). K(x,K(y,z) * u) = K(x,u * K(z,y)). K(x,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. ((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,K(z,u)) * w) = K(x,w). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. K(x,(K(y,z) * u) / w) != v5 | K(x,(u * K(y,z)) / w) = v5. K(x,y * K(z,K(u,w))) = K(x,y). K(x,y) = K(x,K(z,K(u,w)) \ y). K(x,K(y,K(z,u)) \ w) = K(x,w). K(x,y \ T(z,K(u,w))) = K(x,y \ z). K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u)) * w) = K(x,(K(z,u) * y) * w). K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). 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,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. K(x * 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(x * (y \ T(z,K(u,w))),v5) != v6 | K(x * (y \ z),v5) = v6. K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,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,T(y,K(z,u) * w)) = K(x,T(w,K(u,z)) \ T(y * w,K(u,z))). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). K(x,(y * z) / y) = K(x,T(z,K(u,w) * y)). K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). x != K(y,(z * u) / z) | x = K(y,T(u,z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,z)) = K(x,T(y,z * K(u,w))). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). 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) * z)) != w | K(x,T(y,u)) = w. K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). 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,z / u)) = K(x,K(y,z \ u)). x != K(y,K(z / u,(w * z) \ K(w,1 / w))) | x = K(y,K(z \ (1 / w),L(z / u,u,w))). K(x,K(y / z,K(u,1 / u) / (u * y))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x != K(y,K(y / z,(u * w) \ v5)) | x = K(y,K(w \ (u \ v5),L(z,w,u))). K(x,K(x / y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). 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,(u / z) * y) = K(x,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,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. x != T(y,K(z,u) * w) | x = T(y,K(u,z) * w). T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). 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,y / T(z,u)) = T(x,K(z,u) * (y / z)). T(x,K(y,z) * (u / y)) = T(x,u / 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 / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(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) / 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,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,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,K(z,u) * w)) = T(x,K(y,w)). T(x,K(y,K(z,u) \ w)) = T(x,K(y,w)). T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). 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)). 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). T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. 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)). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y). 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 * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. x * K(x,T(y,z)) = T(x,T(y,K(u,w) * z)). T(x,T(y,K(z,u) * w)) = x * K(x,T(y,w)). (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). K(x / (y * z),u) = K((y * z) \ x,T(u,z * y)). K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). x != K(y,T(z,u)) | x = K(y,T(z,u * K(w,v5))). 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))) = K(x,T(y,u * z)). T(x,K(y * K(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,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),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). 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. T(x,y * K(z,z \ u)) = T(x,K(u,z) * 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))). 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)). 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 != T(y,z * T(u,w)) | x = T(y,z * ((w \ u) * w)). T(x,T(y,z) * u) = T(x,T(u,y) * ((z \ y) * z)). T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * 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)). (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). (T(x,K(y,z * u)) * z) / z = T(x,K(u * (x * z),y)). T(x,K(y * (x * z),u)) = (T(x,K(u,z * y)) * z) / z. K(x,K(y,z * u)) = K(y,K(x,u * z)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * w) * R(z,u,w))). K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). K(x,K(y,z * u)) * (u * z) = T(u * z,K(x,y)). T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. 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(K(x,y * z) * u,w) = K(u * K(y * T(z,v5),x),w). K(x * K(y * T(z,u),w),v5) = K(K(w,y * z) * x,v5). 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 * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. x != K(y,K(y / z,u)) | x = K(y,K(z,u)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). 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,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). x != K(y,K(z,(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 * T(u,w))) = K(x,K(y,z * u)). K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). K(x,K(y,z)) = K(x,K(y,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) * w)) = K(x,K(y,(u \ z) * w)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,z * (u \ 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(w,v5)))) = K(x,K(y,z * u)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / (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 / ((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)) = 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,K(z,u) / w)) = K(x,K(w,y)). x != K(y,K(z,u / w)) | x = K(y,K(z,w \ u)). K(x,K(y,z)) = K(x,K(y,z \ K(u,w))). K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). K(x,K(y,z)) = 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,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). 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)). K(x,K(K(y,z) * u,w)) = K(x,K(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,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). K(x,K(y,z)) * K(x,(z \ K(u,w)) * y) = K(x,y * (z \ K(u,w))). T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). (x * (y / x)) \ ((x * (y / x)) * K(z * (x * (y / x)),u)) = K((x * (y / x)) * z,T(u,y)). K((x * (y / x)) * z,T(u,y)) != w | w = K(z * (x * (y / x)),u). K((x * (y / x)) * z,T(u,y)) != w | K(z * (x * (y / x)),u) = w. K(x * (y * (z / y)),u) = K(T(z,y) * x,T(u,z)). K(T(x,y) * z,T(u,x)) = K(z * (y * (x / y)),u). K(x * ((y \ z) * y),u) = K(((y \ z) * y) * x,T(u,z)). K(((x \ y) * x) * z,T(u,y)) = K(z * ((x \ y) * x),u). x != K(y,K(z,u * w)) | x = K(y,K(z,w * u)). K(x,K(y,z * u)) = K(x,K(y,(u * K(w,v5)) * z)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,z * u)) = K(x,K(y,u * T(z,w))). K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(z / 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) * w)) = K(x,K(y,w * ((v5 / (v5 / z)) / u))). 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))). x != y * T(K(z,u),w) | x = y * K(z,T(u,w)). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,y * 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)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). K((x * (y / x)) * z,u) = K(K(x \ y,x) * (y * z),u). K(K(x \ y,x) * (y * z),u) = K((x * (y / x)) * z,u). K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). x != K(((y \ z) * y) * u,T(w,z)) | x = K(u * ((y \ z) * y),w). K((x * (y / x)) * z,T(u,y)) = K(z * ((x \ y) * x),u). K(x * (y * (z / y)),u) = K(x * ((y \ z) * y),u). K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). K(x * (y * z),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,((y * z) \ u) * (z * y)) = T(x,T(u,y * z) * K(y,z)). K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). K(x,K(y,L(z,u,w))) = K(x,K(z,(w * u) / (w * (u / y)))). K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). K(x,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)) = K(x,K(y,z / T(u,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). x * y != K(z,K(u,w)) * (x * K(z,u)) | y = K(z,T(u,w)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,z)) = K(x,T(y,K(u,w) / z)). K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | 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. x != K(K(y,z) * u,w) | x = K(K(z,y) * u,w). 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(K(x * (y * z),x * y) * u,w) = K(K(z,x * y) * u,w). 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). 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,K(y,K(z,u) * w)) = K(w,K(x,y)). K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). K(x,K(y,z)) * K(y,(K(u,w) * z) \ x) = K(y,x / (K(u,w) * z)). 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 * T(x,K(y,z))) = u * x. 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 != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,v5 / (w * u))). K(x,K(y,(z * u) / w)) = K(x,K(y,w / (T(u,v5) * z))). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). x != K(y,z) * ((1 / u) * K(w,v5)) | x = K(y,z) / (K(v5,w) * u). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). 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,y * (z \ u)) = K(x,(z \ u) * y). K(x \ y,T(z,u)) \ K(z,K(u,x * y)) = K(z,x \ y). 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(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. 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 != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(w * u) / v5)). K(x,K(y,L(z,u,w))) = K(x,K(y,((z * u) * w) / (w * u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). x != K(y,z) * (K(u,w) / w) | x = K(y,z) / T(w,u). (K(x,y) / y) * K(z,u) = K(z,T(u,y)) / T(y,x). K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). x != K(y,T(z,u)) / T(u,w) | x = ((1 / u) * K(y,z)) * K(w,u). (K(x,y) / y) * K(z,u) = ((1 / y) * K(z,u)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). 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 != T(y,K(z,u \ w)) | x = T(y,K(z,u * w)). T(x,K(y,z / u)) = T(x,K(y,u * z)). K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). x != K(y,K(z / u,w * u)) | x = K(y,K(z / u,w * z)). K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). K(x,K(y,z)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). x != K(y,K(z,u / w)) | x = K(y,K(z,w / u)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). 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,z / (u * (w \ v5)))) = K(x,K(y,z / (u * (v5 / w)))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). x != K(y,z * K(u,w)) | x = K(y,z * K(u,u * w)). 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,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * 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,z * u)) != w | T(x,K(y,u * z)) = w. T(x,K(y * z,u)) != w | T(x,K(u,z * y)) = w. T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. 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))). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. 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,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)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. 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)). x != K(((y \ z) * y) / (u * y),w) | x = K((y * u) \ z,T(w,u)). K(((x \ y) * x) / T(z * x,K(u,w)),v5) = K((x * z) \ y,T(v5,z)). K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). K(x / (y * K(z,u)),w) = K(x / (K(u,z) \ y),w). K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). 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). 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,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). a(x,y,K(z,K(u,w))) = a(x,v5 * (y / v5),K(z,K(u,w))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). 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 / u))) = K(y,K(x,z / u)). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). 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,R(T(z,u),w,v5) * v6)) != v7 | K(x,K(y,R(z,w,v5) * v6)) = v7. x * K(y,K(z,T(x,u))) = T(x,K(z,T(y,w))). T(x,K(y,T(z,u))) = x * K(z,K(y,T(x,w))). T(x,K(((y \ z) * y) / (u * y),w)) = x * K(w,K((y * u) \ z,T(x,v5))). T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,(y * u) \ z)). 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,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,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,y / z) = K(x,y / T(z,K(u,w))). K(x,y / T(z,K(u,w))) = K(x,y / z). K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). K(x,y / T(z,u \ w)) = K(x,y / T(z,w / u)). K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). K(x,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,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). K(x,K(y,R(T(z,u * w),u,w) * v5)) = K(x,K(y,((u * w) \ ((u * z) * w)) * v5)). K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) = K(x,K(y,R(T(w,z * u),z,u) * v5)). K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). 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) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). K(T(x,y) \ z,u) != w | K(z / T(x,y),T(u,x)) = w. K(x / T(y,z),T(y,y)) = K(y \ x,y). 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,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). x != L(K(y,T(z,u \ w)),u \ w,u) | x = w \ (u * (K(y,z) * (u \ w))). K(((x \ y) * x) / z,T(u,x \ y)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). x != K(y,T(z,u \ w)) | x = K(y,T(z,w / u)). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). x != K((y * ((z * ((y \ u) * y)) / y)) \ u,w) | x = K(1 / z,T(w,u / y)). 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))). x != K(y,T(z,u / (1 / w))) | x = K(y,T(z,w * u)). 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)). 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))). x != K(y,K(z * u,w)) | x = K(y,K(u * z,w)). K(x,K(y / z,L(u,w,v5))) = K(x,K(y * ((v6 / z) / v6),L(u,w,v5))). 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)). x != K(y,K(z,(u / T(w,v5)) * v6)) | x = K(y,K(z,v6 * (u / w))). K(x,K(y,(z * u) / w)) = K(x,K(y,w * ((1 / u) / z))). K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). 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)). 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))). K(x,K(y,(z / u) * w)) = K(x,K(y,w / ((1 / z) * u))). K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). x != K(y,K(z,u / ((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)). x != K(y,K(z,(u / w) * v5)) | x = K(y,K(z,((v6 / (v6 / u)) / w) * v5)). K(x,K(y,(z * u) / w)) = K(x,K(y,((v5 / (v5 / (u \ 1))) / z) * w)). 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)) = K(x,K(y,w / (((v5 / z) / v5) * u))). 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)). 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 * 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))). x != K(y,K(z,u * w)) | x = K(z,K(y,w * u)). a(x,y,K(z,K(u,w / y))) = K(x,K(z,(u * w) * ((y / w) / (u * y)))). 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(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 * ((w / v5) / u))). x != K(y,K(z,u / (w * (v5 \ v6)))) | x = K(y,K(z,u / (w * (v6 / v5)))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (w / u)))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). x != K(y,K(z,(u * w) / (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,(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 * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. 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. 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(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). x != K(y,K(z,u * w)) * K(z,(u * T(w,v5)) \ y) | x = K(z,y / (u * T(w,v5))). 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))). K(x / y,T(x,z) \ u) = K(y \ x,u / T(x,z)). K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). 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))). 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 / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). 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)). K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). x != K(y,z \ K(u,w)) | x = K(y,K(u,w) / 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,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)). 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,w * (z * (1 / u)))). 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)). x != K(y,K(z,(u * w) * v5)) | x = K(y,K(z,(w * u) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(w * ((1 / u) * z)) * v5)). K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). x != K(y,K(z,u * T(w,v5))) | x = K(y,K(z,w * u)). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). x != K(y,K(z,u * (1 / w))) | x = K(y,K(z,u / w)). K(x,K(y,((z / u) * w) * (1 / v5))) = K(x,K(y,(w * ((1 / u) * z)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (((1 / w) * u) * v5))). 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 * (v5 * (v6 / v5))))) | x = K(y,K(z,u * (w * v6))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * 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)). x != K(y,K(z,u * (w * K(v5,v6)))) | x = K(y,K(z,u * w)). K(x,K(y,(z * u) * w)) = K(x,K(y,w * (u / (1 / z)))). K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). 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))). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). x != T(T(y,z \ y) / z,T(y,z \ y)) | x = y / z. a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). 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)). (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = K(K(y,z),x * x). 1 = K(x * (y * z),a(x,y,z)). K(x * (y * z),a(x,y,z)) = 1. T(x * (y * z),a(x,y,z)) = x * (y * z). (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 \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. a(x,y,K(z,u)) = a(z,z * y,K(u,x)). a(x,x * y,K(z,u)) = a(u,y,K(x,z)). K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). K((x * ((x \ y) / z)) \ y,u) = K(z,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). 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)). (x \ ((y * z) / y)) * y != u | (x \ z) * T(y,z) = u. x != (K(y,z) * u) * u | x = u * (u * K(y,z)). K(x,y) * (z * z) = z * (z * K(x,y)). a(x / (y * z),y,z) = a((y * z) \ x,y,z). K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. 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)). T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = 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 != 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))). x != T(y / T(z,K(u,w)),z * K(w,u)) | x = z \ T(y,K(u,w)). T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). 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). T(x,y \ z) = T(x,(y \ 1) * z). T(x,(y \ 1) * z) = T(x,y \ z). T(x,(1 / y) * z) != u | T(x,y \ z) = u. T(x,L(y,z \ 1,z)) != u | T(x,y) = u. T(x,(y \ 1) * z) != u | T(x,y \ z) = u. ((x * y) * z) / (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. x != (y * z) * K(u,T(w,z)) | x = (y * T(z,K(w,u))) * K(u,w). a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y)))) = (x * T(y,K(u,z))) * K(z,u). x != (y * z) * T(u,z) | x = (y * (z * K(u,z))) * u. a(x,y,T(z,y)) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. x * y != (z * u) * K((w \ z) * u,w) | x \ (K((w \ z) * u,w) * (z * u)) = y. a(x,y,K((z \ x) * y,z)) \ (K((z \ x) * y,z) * (x * y)) = x * (y * K((z \ x) * y,z)). K(a(x,y,z),u) * (K(x,u) * (y * z)) = (K(x,u) * y) * z. K(x,a(T(y,z),z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). 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))). 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(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(z,y)) = v5. K(x,K(L(y,z,u),w)) = K(x,K(y,w)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,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) = 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 * (z * K(u,K(w,v5)))) != (y * z) * K(u,K(w,v5)) | 1 = x. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. x != a(y,z,K(u,w)) | x = K(w,a(u,z,y)). 1 = K(K(x,y),a(z,u,w)). K(K(x,y),a(z,u,w)) = 1. x != a(y,z,K(u,w)) | x = a(K(y,w),z,u). 1 = a(K(x,K(y,z)),u,w). a(K(x,K(y,z)),u,w) = 1. x != a(y,z,K(u,w)) | x = a(K(u,y),z,w). 1 = a(K(x,y),z,K(u,w)). a(K(x,y),z,K(u,w)) = 1. 1 = K(x,a(y,z,K(u,w))). K(x,a(y,z,K(u,w))) = 1. L(x,y,K(z,K(u,w))) = x. x != a(K(y,z),u,w) | x = K(a(w,u,z),y). 1 = K(a(x,y,K(z,u)),w). K(a(x,y,K(z,u)),w) = 1. x != a(K(y,K(z,u)),w,v5) | x = K(a(K(y,z),w,v5),u). 1 = K(a(K(x,y),z,u),w). K(a(K(x,y),z,u),w) = 1. T(a(K(x,y),z,u),w) = a(K(x,y),z,u). K(K(x,a(y,z,u)),w) = 1. K(x,K(a(y,z,u),w)) = 1. T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). x * K(a(y,z,K(u,w)),v5) != v6 | v6 = x. T(x,K(a(y,z,u),w)) = x. x * K(y,a(z,u,w)) = K(y,a(z,u,w)) * x. K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). x * y != T(z * x,K(a(u,w,v5),v6)) | T(z,x) = y. T(x,y) = T(x,T(y,a(z,u,w))). T(x,T(y,a(z,u,w))) = T(x,y). 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). T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). x * y != T(x * K(z,x),K(z,u)) | y = K(z,T(x,u)). K(a(x,y,z),u) = K(a(x,y,z),T(u,w)). K(a(x,y,z),T(u,w)) = K(a(x,y,z),u). T(x,a(y,z,K(u,w))) = x. x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). K(x,a(y,z,u)) * w = w * K(y,a(u,z,x)). a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). 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,T(z,K(u,w))) = L(x,y,z). x != y | x = (y * (K(z,K(u,w)) * v5)) / (v5 * K(z,K(u,w))). L(x,y,K(z,K(u,w))) = (x * (K(v5,K(v6,v7)) * v8)) / (v8 * K(v5,K(v6,v7))). 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). (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(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))),u * K(x,K(y,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)). L(x,y,K(z,K(u,w))) != v5 | v5 = x. a(x,y,z) * (1 * K(u,w)) = K(u,w) * a(x,y,z). 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,y) = K(x,T(y,a(z,u,w))). K(x,T(y,a(z,u,w))) = K(x,y). 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,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. x * y != y * K(z * y,u) | x = K(y * z,u). K(x * a(y,z,u),w) = K(a(y,z,u) * x,w). K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). x * y != y * K(z,y \ u) | x = K(z,u / 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,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)). L(K(x,y) * (a(z,u,w) \ v5),K(y,x),a(z,u,w)) = (K(y,x) * a(z,u,w)) \ v5. a(a(x,y,z),K(u,w),v5) * (a(x,y,z) * (K(u,w) * v5)) = (K(u,w) * a(x,y,z)) * v5. K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * (K(v5,y) * w)) = (K(v5,y) * a(x,z,u)) * w. x != K(y,a(z,u,a(w,v5,v6))) * (a(y,u,w) * v7) | x = T(a(y,u,w),a(z,v5,v6)) * v7. (K(x,y) * a(z,u,w)) * v5 = T(a(z,u,w),a(y,v5,x)) * (K(x,y) * v5). T(a(x,y,z),a(u,w,v5)) * (K(v5,u) * w) = (K(v5,u) * a(x,y,z)) * w. K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * (x * w)) = u * (T(x,K(y,z)) * w). K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). 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,y * T(z,a(u,w,v5))) = T(x,y * z). 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,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). T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). T(x,L(K(y,z),u,w)) = T(x,K(y,z)). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). 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,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))). 1 / K(x,y) = K(y * a(z,u,K(w,v5)),x). K(x * a(y,z,K(u,w)),v5) = 1 / K(v5,x). K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). 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 * 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 * (y * a(z,u,K(w,v5))),v6) = K(x * y,v6). K(x * K(y,a(z,u,w)),v5) = K(x,v5). K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). K(K(x,a(y,z,u)) * w,v5) = K(w,v5). K(x \ y,z) = K(T(x,a(u,w,v5)) \ y,z). K(T(x,a(y,z,u)) \ w,v5) = K(x \ w,v5). K((a(x,y,z) * u) \ w,v5) = K((u * a(x,y,z)) \ w,v5). K(a(x,y,z),u) != w | K(a(x,y,z),T(u,v5)) = w. x * y != z * K(u,a(w,v5,v6)) | x \ (K(v6,a(u,v5,w)) * z) = y. K(x,y) \ (K(z,a(K(y,x) * u,w,v5)) * T(u,K(y,x))) = T(u * K(y,x),a(v5,w,z)). K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. x != K(y,K(z,u)) * (w * v5) | x = w * (v5 * K(y,K(z,u))). (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). (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. (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). 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) = L(x,y,K(u,K(w,v5)) * z). L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). L(x,y,z * K(u,w)) != v5 | L(x,y,K(u,w) * z) = v5. L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). a(x,y,T(z,y)) = L(a(x,y,z),x * (y * z),K(z,y)). L(a(x,y,z),x * (y * z),K(z,y)) = a(x,y,T(z,y)). L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). L(L(x,y,K(z,u)),K(z,T(u,y)) * y,w) = (w * (y * K(z,u))) \ (w * (K(z,T(u,y)) * (y * x))). (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),K(z,T(u,y)) * y,x). (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * u = w * (K(x,K(y,z)) * (w \ u)). x * (K(y,K(z,u)) * (x \ w)) = K(y,K(z,u)) * w. K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (K(y,K(z,u)) * v5). K(a(x,y,z),u) != w | K(x,a(u,y,z)) = w. K(x,a(y,z,u)) != w | K(u,a(x,z,y)) = w. a(K(x,y),z,u) != w | K(x,a(y,z,u)) = w. K(x,T(a(y,z,u),w)) != v5 | K(x,a(T(y,w),z,u)) = v5. K(x,a(T(y,z),u,w)) = K(x,a(y,u,w)). K(x,a(y,z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). K(x,a(y,z,u)) * (x * (K(u,y) * z)) = (x * T(z,K(y,u))) * K(u,y). T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(y,u))) * K(u,y). T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(u,y))) * K(u,y). x != T(a(y,z,u),a(w,v5,v6)) * (K(v6,w) * v5) | x = (K(v6,w) * a(y,z,u)) * v5. (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (K(w,v5) * a(x,y,z)) * u. x != (y * T(z,K(u,w))) * K(u,w) | x = (y * z) * K(u,T(w,z)). (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * v5) * K(x,T(y,v5)). (a(x,y,z) * u) * K(w,T(v5,u)) = (K(w,v5) * a(x,y,z)) * u. K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. a(x,y,K(z,u)) * w != v5 | v5 = w * a(x,y,K(z,u)). a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. T(a(x,y,K(z,u)),w) != v5 | v5 = a(x,y,K(z,u)). T(a(x,y,K(z,u)),w) != v5 | a(x,y,K(z,u)) = v5. x * K(y,a(z,u,K(w,v5))) != v6 | v6 = x. T(K(a(x,y,z),u),w) != v5 | a(x,y,K(z,u)) = v5. K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. a(x,y,K(z,u)) = a(x,y,K(z,T(u,w))). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) != w | a(x,u,K(y,z)) = w. a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). 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). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). 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)). ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). K(x,y) * (z * u) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). 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)). x != R(y,z,K(u,T(w,z))) | x = R(y,z,K(u,w)). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). a(x,y,K(z,u)) = ((K(z,u) * y) * x) \ (K(z,u) * (y * x)). ((K(x,y) * z) * u) \ (K(x,y) * (z * u)) = a(u,z,K(x,y)). ((K(x,y) * z) * u) * a(u,z,K(x,y)) != w * v5 | w \ (K(x,y) * (z * u)) = v5. (K(x,y) * z) \ (K(x,y) * (z * u)) = T(u,a(y,z,x)). L(x,y,K(z,u)) = T(x,a(u,y,z)). T(x,a(y,z,u)) = L(x,z,K(u,y)). T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. L(x,y,K(z,u)) = T(x * K(u,x),L(u,y,z)). T(x * K(y,x),L(y,z,u)) = L(x,z,K(u,y)). 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)). 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)). L(x,y,K(z,u)) = a(x,y,K(z,u)) * x. a(x,y,K(z,u)) * x = L(x,y,K(z,u)). x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. 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)). T(x / y,L(y,z,u)) = L(y \ x,z,K(u,y)). T(L(x,y,K(z,u)),u) = T(x,L(u,y,z)). L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). L(T(x,y \ R(y,z,u)),w,1) = T(x,L(y \ R(y,z,u),w,y)). T(x,L(y \ R(y,z,u),w,y)) = L(T(x,y \ R(y,z,u)),w,1). 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(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. a(x,y,z) = a(x,y,T(z,y)). a(x,y,T(z,y)) = a(x,y,z). (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). (a(x,y,z) * u) * w = (a(x,y,z) * w) * T(u,w). (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). (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,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. (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 * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w) = K(a(y,z,u) * w,x) * K(x,w). 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). L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. 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). x != K(y * (z / T(u,a(w,v5,v6))),v7) | x = K(y * (z / u),v7). K(x * (K(y,z) * (u / w)),v5) = K(x * ((K(y,T(z,v6)) * u) / w),v5). 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(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(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). 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). 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 \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). 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). x * y != K(z,K(u,w)) * K(z,w * u) | x \ K(z,u * w) = y. 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). T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). 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 \ y))) = T(x,u * (w \ T(y,z))). T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). (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,K(y,L(z,w,v5)) * u). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). 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,u \ (z \ w)) * 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,(z / w) / u) * v5). T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). x / T(x,K(y,z) * u) = K(u * K(L(y,w,v5),z),x). K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). K(x * K(L(y,z,u),w),v5) != v6 | K(K(y,w) * x,v5) = v6. K(x * K(y,L(z,u,w)),v5) = K(K(z,y) * x,v5). K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. K(K(x,y) * (z * u),w) = K(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) = K(K(x,L(y,w,v5)) * z,u). K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) \ z,u) * w,v5). K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). K((T(x,y) \ z) * u,w) = K(K(y,x) * ((x \ z) * u),w). K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). K(K(x,y) * ((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(x,y)),w). K((x \ y) * (z * K(x,u)),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). x != K(y * (z * K(u,w)),v5) | x = K(y * (K(u,w) * z),v5). K(K(x,y) * (z * u),w) = K(z * (K(x,L(y,v5,v6)) * u),w). K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. 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)). 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. 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))) != v5 | K(x,y) = v5. L(K(x,y),z,K(u,w)) = K(x,y). K(L(x,y,K(z,u)),w) = K(x,w). K(x,L(y,z,K(u,w))) = K(x,y). (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). x * K(x,y) = T(x,L(y,z,K(u,w))). T(x,L(y,z,K(u,w))) = x * K(x,y). K(x,y) * (K(z,u) * w) = (K(x,y) * w) * K(z,T(u,w)). (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). x * y != K(z,u) * (K(w,v5) * v6) | x \ (K(w,v5) * (K(z,u) * v6)) = y. (x * y) \ (K(z,u) * (K(x,y) * w)) = (y * x) \ (K(z,u) * w). (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. K(x,y) * (z * K(u,w)) = K(u,T(w,z)) * (K(x,y) * z). K(x,T(y,z)) * (K(u,w) * z) = K(u,w) * (z * K(x,y)). 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,(K(u,z) * y) \ w). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). K(x,L(y,z,u)) = K(x,L(y,z,T(u,w))). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). K(x,L(y,z,(u \ w) * u)) = K(x,L(y,z,w)). ((x \ y) * x) \ (K(z,L(u,T(w,y),y)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((x \ y) * x) * T(w,y))). ((x \ y) * x) \ (K(z,L(u,w,y)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((x \ y) * x) * T(w,y))). x != (y * z) \ (K(u,w) * (K(y,z) * v5)) | x = (z * y) \ (K(u,w) * v5). T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = (w * (w \ y)) \ (K(z,L(u,x,y)) * (x * y)). x != (y * (y \ z)) \ u | x = z \ u. T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = y \ (K(z,L(u,x,y)) * (x * y)). T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = y \ ((K(z,u) * x) * y). T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = T(K(z,u) * x,y). T(x,y) * K(z,T(u,K(w \ y,w) * (x * y))) = T(K(z,u) * x,y). T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). T(x,y) * K(z,T(u,K(y,w) * (x * y))) = T(K(z,u) * x,y). T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). 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,K(y,z)) * T(u,w) = T(u * K(x,K(y,z)),w). 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,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,K(y,z)) * T(u,w) = T(K(x,K(y,z)) * u,w). T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). T(K(x,K(y,z)) \ u,w) = K(x,K(y,z)) \ T(u,w). K(x,K(y,z)) \ T(u,w) = T(K(x,K(y,z)) \ u,w). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). 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. 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))). x != T(y,T(z,u * w) * K(u,w)) | x = T(y,((u * w) \ z) * (w * u)). T(x,(y * z) * (u / (z * y))) = T(x,((y * z) \ u) * (z * y)). 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)) \ ((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(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 * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (z * K(u,w))) = v6. K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. K(x,y * (z * K(u,w))) = K(x,y * (z * K(u,T(w,v5)))). K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,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))). K(x,y * (z / T(u,w))) \ 1 = K(y * (z / T(u,T(w,v5))),x). K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. x != K(y,z) \ 1 | x = K(z,y). 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 * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). 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 * ((K(y,z) * u) / T(w,K(z,y) * T(u,y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). 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. L(x,K(y,K(z,u)),w) = x. (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. x != K(y,K(z,u)) \ w | x = K(y,K(z,u)) * w. (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)) \ (u \ w). (T(x,K(y,z)) * u) \ w = K(x,K(y,z)) * ((x * u) \ w). K(x,K(y,z)) * ((x * u) \ w) = (T(x,K(y,z)) * u) \ w. (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). T(x * K(y,K(z,u)),w) \ v5 = K(y,K(z,u)) * (T(x,w) \ v5). K((T(x,K(y,z)) * u) \ w,v5) != v6 | K((x * u) \ w,v5) = v6. K(((K(x,y) * (z * x)) * u) \ w,v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. K(K(x,(y * z) \ u) * w,v5) != v6 | K(K(x,z \ (y \ u)) * w,v5) = 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,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. K(x \ (K(y,z) * u),w) != v5 | K((K(z,y) * x) \ u,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) = K((x * K(z,y)) \ u,w). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). K((x * K(y,z)) \ u,w) != v5 | K(x \ (K(z,y) * u),w) = v5. K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K(x \ (K(z,u) * y),w) = v5. K((x * y) / (K(z,u) * y),w) != v5 | K(y \ (K(u,z) * (y * x)),w) = v5. 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). 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,K(y,(u \ z) \ w)). T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). x != y * L(K(z,T(u,y)),w,v5) | x = L(K(z,u),w,v5) * y. (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. x != (K(y,z) * u) * w | x = (K(y,z) * (u * w)) * a(y,u,K(w,z)). L(K(x,y),z,u) * w = (K(x,y) * (w * (K(y,x) * L(K(x,y),z,u)))) * a(x,w,K(K(y,x) * L(K(x,y),z,u),y)). (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. x * y != L(K(z,u),w,v5) * v6 | x \ (K(z,u) * (v6 * a(z,w,K(v5,u)))) = y. (K(x,y) * z) \ (K(x,y) * ((z * u) * a(x,z,K(u,y)))) = u. K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. x * a(y,z,K(u,w)) != v5 | v5 = a(y,z,K(u,w)) * x. x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. T(x,a(y,z,K(u,w))) != v5 | v5 = x. T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). x != T(y,K(z,u / w)) | x = T(y,K(z,w \ u)). T(x,K(y,L(z / u,w,v5))) = T(x,K(y,u \ z)). T(x,K(y,z / (u * w))) = T(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))). T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,y \ (z / u))). T(x,K(((y \ z) * y) / (u * y),w)) = T(x,K(w,y \ (z / u))). T(x,K(y,((z \ u) * z) / (w * z))) = T(x,K(y,z \ (u / w))). x != T(y,K(z,u / (w * v5))) | x = T(y,K(z,w \ (u / v5))). T(x,K(y,z \ (u / w))) = T(x,K(y,w \ (((z \ u) * z) / z))). T(x,K(y,z \ (((u \ w) * u) / u))) = T(x,K(y,u \ (w / z))). T(x,K(y,z \ (u \ w))) = T(x,K(y,u \ (w / z))). T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). x != T(y,K(z,K(u,w) \ v5)) | x = T(y,K(z,v5)). T(x,K(y,z \ u)) = T(x,K(y,z \ (u * K(w,v5)))). T(x,K(y,z \ (u * K(w,v5)))) = T(x,K(y,z \ u)). 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)). T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,(y * z) \ x)). K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). 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,u * z,(u * z) \ z)). K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,u \ z,u \ 1)). K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L(y,R(z,u,u \ 1),z \ 1)) = K(x,L(y,a(z,u,u \ 1),z \ 1)). R(x,y,z * K(u,z \ 1)) = L(R(x,y,z),y * z,K(u,z \ 1)). L(R(x,y,z),y * z,K(u,z \ 1)) = R(x,y,z * K(u,z \ 1)). x != R(y,z,K(u,z \ 1)) | x = y. L(x,y,K(z,y \ 1)) = x. x != R(y / (z \ u),z \ u,z) | x = (y * T(z,z \ u)) / 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,z,K(u \ y,u)) | x = ((u \ y) * u) / (z * K(u \ y,u)). L(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). 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(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). L(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,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)) * u) = a(y,z,K(u,w)) * (u * T(x,u)). a(x,y,K(z,u)) * (z * T(w,z)) = w * (a(x,y,K(z,u)) * z). x / y = a(z,u,K(w,v5)) * (x / (a(z,u,K(w,v5)) * y)). a(x,y,K(z,u)) * (w / (a(x,y,K(z,u)) * v5)) = w / v5. K(x,L(y,z,u)) * w = K(x,y) * (a(x,z,K(u,y)) * w). K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,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. a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) = w. (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. x != (y * K(z,u)) * a(w,v5,K(u,z)) | x = y * L(K(z,u),v5,w). a(x,y,K(z,u)) * (w * K(x,u)) = w * L(K(x,u),y,z). x * y != a(z,u,K(w,v5)) * (a(z,u,K(v5,w)) * v6) | v6 / y = x. x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. (x * (a(y,z,K(u,w)) * v5)) * K(a(u,z,K(w,y)),v5) = x * (a(u,z,K(w,y)) * v5). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). 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)). 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)). a(x,y,K(z,u)) * z != w | L(z,y,K(u,x)) = w. 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. a(x,y,K(z,u)) * u = L(u,y,K(x,z)). a(R(x,y,z),u,K(w,v5)) * w = L(w,u,K(v5,L(x,y,z))). T(x,L(y,z,K(u,w))) = T(x,y). L(x,y,K(z,u)) * w = x * (a(u,y,K(x,z)) * w). x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. x * (y * a(z,u,K(x,w))) = L(x,u,K(w,z)) * T(y,a(z,u,K(x,w))). L(x,y,K(z,u)) * T(w,a(u,y,K(x,z))) = x * (w * a(u,y,K(x,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 * a(y,z,K(x,u)) = L(x,z,K(u,y)). x * (a(y,z,K(u,x)) * w) = L(x,z,K(y,u)) * w. L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. x / a(y,z,K(u,w)) != v5 | v5 = a(w,z,K(u,y)) * x. x / a(y,z,K(u,w)) != v5 | a(w,z,K(u,y)) * x = v5. x != L(K(y,(z \ u) \ w),z \ u,z) | x = K(y,u \ (z * w)). K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). 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 * L(K(z,u),w,v5)) \ v6,v7) | x = K(((y \ v6) * y) / T(L(K(z,u),w,v5) * y,K(v8,v9)),v7). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / T(L(K(z,y),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). 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 * T(z,T(u,w))) = K(x,y * T(z,u)). K(x,y * z) = K(x,z * T(y,z)). K(x,y * T(z,y)) = K(x,z * y). 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(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 * a(y,z,K(u,w)) != v5 | a(u,z,K(w,y)) * x = v5. a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. x != K(y,K(z,u)) * K(y \ (z * u),T(z \ y,w)) | x = K(y \ (z * T(u,w)),y / z). 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. K(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). 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))). a(x,y,K(z,u)) * (w * z) = w * (a(x,y,K(z,u)) * z). a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). 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. (a(x,y,K(z,u)) * (w * (v5 * z))) \ ((w * v5) * L(z,y,K(u,x))) = L(a(w,v5,z),w * (v5 * z),a(x,y,K(z,u))). a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). K(x,y * L(z,u,K(w,v5))) = K(x,y * z). 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)) * (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)). (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). K(x,K(y,z) * (u * (w * K(z,y)))) = K(x,u * w). K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. K(x,y * (K(z,u) * w)) = K(x,K(u,z) * (y * w)). K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). 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 * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = 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,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). 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,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. K(x,K(y,y \ z) * (u * w)) != v5 | K(x,u * (w * K(y,z / y))) = v5. K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. K(x,y * (z * K(u \ 1,w))) = K(x,K(u,L(w,v5,v6)) * (y * z)). K(x,K(y,L(z,u,w)) * (v5 * v6)) = K(x,v5 * (v6 * K(y \ 1,z))). K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,y * (z * K(u,w))) = K(x,y * (z * K(u \ 1,w))). 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)). x != K(y,z * u) | x = K(y,T(u,z) * z). K(x,T(y \ z,y) * u) = K(x,T(u,z / y) * (z / y)). K(x,T(y,z / u) * (z / u)) = K(x,T(u \ z,u) * y). 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). x != L(y,z,K(u \ (w \ u),v5)) | x = L(y,z,K(v5 / ((w \ u) \ u),T(w,w \ u))). L(x,y,K(z \ 1,u)) = L(x,y,K(u / ((z \ w) \ w),T(z,z \ w))). L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(u \ 1,z)). L(x,y,K(z / ((u \ w) \ w),T(u,w))) = L(x,y,K(u \ 1,z)). L(x,y,K(z / T(u,w),T(u,w))) = L(x,y,K(u \ 1,z)). L(x,y,K(z \ u,z)) = L(x,y,K(z \ 1,u)). L(x,y,K(z \ 1,u)) = L(x,y,K(z \ u,z)). x != L(y,z,K(u \ w,u)) | x = L(y,z,K(w,u)). L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). L(x,y,K(y \ 1,z)) != u | u = x. x != L(T(y,z),u,K(w,z)) | x = T(y,L(z,u,w)). L(T(x,y),z,K(y,u)) = T(x,L(y,z,u \ 1)). T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,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)). L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. (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(y,L(z,u,w \ 1)). x != (y / L(T(z,u),w,K(v5,v6))) * z | x = a(z,w,K(v6,v5)) * (y * K(u,z)). x * K(L(y,z,u \ 1),w) = a(w,z,K(u,y)) * (x * K(y,w)). 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)). L(K(x,L(y,z,u \ 1)),z,u) = K(x,y). (x * y) * z != x * (y * K(u,w)) | z = K(u,L(w,y,x)). K(x,y) = K(x,L(L(y,z,u \ 1),z,u)). K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). (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,x \ (y * z)) = K(x,(y \ x) \ z). K(x,(y \ x) \ z) = K(x,x \ (y * z)). x / (K(y,(z \ u) \ w) * x) = K(L(u \ (z * w),u,z \ 1),y). K(L(x \ (y * z),x,y \ 1),u) = w / (K(u,(y \ x) \ z) * w). K(L(x \ (y * z),x,y \ 1),u) = K((y \ x) \ z,u). K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. 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(u,z)),w). x != K((y * (z \ u)) * K(u,w),L(z / y,y,z \ u)) | x = K(y * (z \ u),T(R(z / y,y,z \ u),w)). 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)). 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 * (y \ T(z,u)),w) = K(x * ((y \ z) * K(u,z)),w). K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). x != K(y * (z * K(u,w)),v5) | x = K(K(w,u) * (y * z),v5). 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(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). x != K(y * (z / T(u,w)),v5) | x = K(y * (z / T(u,T(w,v6))),v5). K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,T(z,v5))),w). 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 * (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(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). K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. 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). 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(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). K(x,y / (z * K(u,w))) = K(x,(K(w,u) * y) / z). K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). K(x,y / (z * K(u,w))) != v5 | K(x,(K(w,u) * y) / z) = v5. 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))). T(x,y \ z) = T(x,(1 / y) * z). T(x,(1 / y) * 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). 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 * 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). K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. K(x,y * (T(z,u) * w)) = K(x,y * (z * (w * K(z,u)))). K(x,y * (z * (u * K(z,w)))) = K(x,y * (T(z,w) * u)). K(x,y * K(z,u)) = K(x,K(z,z \ u) * y). K(x,K(y,y \ z) * u) = K(x,u * K(y,z)). L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). x != K(y,z) * (L(K(z,y),u,w) * v5) | x = a(z,u,K(w,y)) * v5. (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * (x * K(x * a(y,z,K(u,w)),v5)). a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * T(w,v5) = T(w * a(x,y,K(z,u)),v5). 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)). T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). T(x,T(y,L(z,u,w))) = T(x,T(y,z)). T(x,K(a(y,z,u),w)) != v5 | v5 = x. 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). K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. T(x,T(y,(z * u) \ w)) = T(x,T(y,u \ (z \ w))). a(x,y,K(z \ x,u)) = a(z,y,K(z \ x,u)). a(x,y,K(x \ z,u)) = a(x,y,K(z,u)). 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,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)). 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)). T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * 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)). x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). (x * (x * K(y,z))) \ ((K(y,z) * x) * x) = a(K(y,z),x,x). x != y \ (z * T(z \ y,u)) | x = K((y \ z) \ 1,u). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). x != K((T(y,z) \ (z * a(u,w,K(v5,v6)))) \ 1,v7) | x = K(((z * a(u,w,K(v5,v6))) / y) \ 1,v7). K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). x != K((T(y,z) \ z) \ 1,u) | x = K((z / y) \ 1,u). K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). x != K(((y \ z) * y) / (L(K(u,w),v5,v6) * y),v7) | x = K(y \ (L(K(w,u),v5,v6) * z),v7). K(((x \ y) * x) / (K(z,u) * x),w) = K(x \ (L(K(u,z),v5,v6) * y),w). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). K(x \ (K(y,z) * (x * (x \ u))),w) = K(x \ (L(K(y,z),v5,v6) * u),w). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). x != K((y * K(z,u)) \ (L(K(w,u),v5,v6) * v7),v8) | x = K(y \ ((K(u,z) * L(K(u,w) \ 1,v5,v6)) * v7),v8). K((x * K(y,z)) \ (K(u,z) * w),v5) = K(x \ ((K(z,y) * L(K(z,u) \ 1,v6,v7)) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). x != K((y * K(z,u)) \ w,v5) | x = K(y \ (K(u,z) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). K(x,y) = K((z * K(u,w)) \ (z * (x * K(u,w))),y). K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). K(L(x,K(y,z),u),w) = K(x,w). K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). K(x,L(y,K(z,u),w)) = K(x,y). K(L(x,K(y,z),u),w) = v5 / (K(w,x) * v5). K(L(x,K(y,z),u),w) * v5 != K(x,w) | 1 = v5. 1 = a(x,K(y,z),K(u,w)). a(x,K(y,z),K(u,w)) = 1. x != K(L((y \ z) * K(u,w),K(w,u),y),v5) | x = K((y * K(w,u)) \ z,v5). K((x \ y) * K(z,u),w) = K((x * K(u,z)) \ y,w). K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). 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)). x * K(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = x * K(x,y). K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ 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). T(x,L(y,K(z,u),w)) = T(x,y). T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). T(x,(y * K(z,u)) \ w) = T(x,K(z,u) * (y \ w)). 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). K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),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,u)),w). K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). K((x * K(y,z)) * u,w) = K(((x \ 1) \ u) * K(y,z),w). K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). x != K(y * K(z,u),w) | x = K(K(u,z) * y,w). K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). x != K(y * K(L(z,u,w),v5),v6) | x = K(K(z,v5) * y,v6). K((K(x,L(y,z,u)) * w) \ v5,v6) = K(K(y,x) * (w \ v5),v6). K(((K(x,y) * z) * u) \ w,v5) = K(K(y,x) * ((z * u) \ w),v5). K(((x * T(y,z)) * u) \ w,v5) = K(K(z,y) * (((x * y) * u) \ w),v5). K(K(x,y) * (((z * y) * u) \ w),v5) = K(((z * T(y,x)) * u) \ w,v5). K(((K(x,y) * z) * u) \ w,v5) = K(K(x,y) * ((z * u) \ w),v5). K(K(x,y) * ((((z / T(y,x)) * y) * u) \ w),v5) = K((z * u) \ w,v5). K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). K(K(x,y) * (((z * K(x,y)) * u) \ w),v5) = K((z * u) \ w,v5). K(K(x,y) * (((z * K(y,x)) * u) \ w),v5) = K((z * u) \ w,v5). K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). K(K(x,y) * (z \ u),w) = K((z * K(x,y)) \ u,w). K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). K(x \ (y * T(z,u)),w) = K((x \ (y * z)) * K(z,u),w). K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). K(x \ (y * (z / u)),w) = K((x \ (y * (u \ z))) * K(u,u \ z),w). K((x \ (y * (z \ u))) * K(z,z \ u),w) = K(x \ (y * (u / z)),w). K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). K((x \ (y * z)) * K(u,z),w) = K(x \ (y * T(z,u)),w). x != K(y * K(z * T(u,w),v5),v6) | x = K(K(v5,z * u) * y,v6). K(x \ (y * T(z * T(u,w),v5)),v6) = K(K(v5,z * u) * (x \ (y * (z * T(u,w)))),v6). K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * T(y * T(z,v5),x)),v6). 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(x \ (y * (z * K(u,w))),v5) = K(K(w,u) * (x \ (y * z)),v5). K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). x != K(y,z) * (K(u,w) * v5) | x = K(u,w) * (K(y,z) * v5). (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). L(x,K(y,z),K(u,w)) = x. K(x,L(y,z,u)) * w = K(x,a(y,z,u)) * (K(x,y) * w). K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. K(x \ (y * (T(z * u,w) * K(u,v5))),v6) = K(K(w,z * u) * (x \ (y * (z * T(u,v5)))),v6). K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * (T(y * z,x) * K(z,v5))),v6). x != K(y \ (z * (u * K(w,v5))),v6) | x = K(K(w,v5) * (y \ (z * u)),v6). K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(K(z,v5) * (u \ (w * T(y * z,x))),v6). x != K(K(y,z * u) * (w \ (v5 * (z * T(u,v6)))),v7) | x = K(w \ (v5 * T(z * T(u,v6),y)),v7). K(K(x,y) * (z \ (u * T(w * x,v5))),v6) = K(z \ (u * T(w * T(x,y),v5)),v6). K(K(x,y) * (z \ T((u * x) * w,K(w,v5))),v6) = K(z \ (w * T(u * T(x,y),T(w,v5))),v6). K(K(x,y) * (z \ ((u * x) * w)),v5) = K(z \ (w * T(u * T(x,y),T(w,v6))),v5). K(x \ (y * T(z * T(u,w),T(y,v5))),v6) = K(K(u,w) * (x \ ((z * u) * y)),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(K(x,y) * (z \ ((u * y) * w)),v5) = K(z \ ((u * T(y,x)) * w),v5). K(K(x,y) * (z \ (u * w)),v5) = K(z \ (((u / y) * T(y,x)) * w),v5). K(x \ (((y / z) * T(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). K(x \ ((y * K(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). K(L(x,y,z * K(u,w)),v5) = K(K(w,u) * (((z * K(u,w)) * y) \ (z * (y * x))),v5). K(K(x,y) * (((z * K(y,x)) * u) \ (z * (u * w))),v5) = K(L(w,u,z * K(y,x)),v5). x != K(K(y,z) * (((u * K(z,y)) * w) \ v5),v6) | x = K((u * w) \ v5,v6). K(L(x,y,z * K(u,w)),v5) = K((z * y) \ (z * (y * x)),v5). K(L(x,y,z * K(u,w)),v5) = K(L(x,y,z),v5). K(x,L(y,z,u * K(w,v5))) = K(L(x,z,u),y). x != K(L(y,z,u),w) | x = K(y,L(w,z,u)). K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u * K(w,v5),x)). a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). x * y != K(z,L(u,w,K(v5,v6) * v7)) | x \ K(z,L(u,w,v7)) = y. K(x,y) \ K(x,L(y,z,u)) = K(K(w,v5) * u,a(x,z,y)). K(K(x,y) * z,a(u,w,v5)) = K(u,v5) \ K(u,L(v5,w,z)). x != K(y,z) \ K(y,L(z,u,w)) | x = K(w,a(y,u,z)). K(K(x,y) * z,a(u,w,v5)) = K(z,a(u,w,v5)). K(x,a(K(y,z) * u,w,v5)) = K(u,a(v5,w,x)). K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(y,x))) = T(z * K(y,x),a(u,w,v5)). K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(x,y))) = T(z * K(y,x),a(u,w,v5)). K(x,y) \ T(T(z,K(x,y)),a(u,w,v5)) = T(z * K(y,x),a(u,w,v5)). K(x,y) * T(T(z,K(y,x)),a(u,w,v5)) = T(z * K(x,y),a(u,w,v5)). T(x,a(y,z,u)) * K(w,v5) = T(x * K(w,v5),a(y,z,u)). x * y != T(z * K(u,w),a(v5,v6,v7)) | (T(z,a(v5,v6,v7)) * K(u,w)) / y = x. (T(x,a(y,z,u)) * K(w,v5)) / T(x,a(y,z,u)) = K(w,T(v5,a(y,z,u) * x)). L(x,y,K(z,u)) * K(w,v5) = T(x * K(w,v5),a(u,y,z)). K(x,T(y,T(z,a(u,w,v5)))) = K(x,T(y,a(u,w,v5) * z)). K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,T(v5,a(z,u,w)))). x != K(y,T(z,T(u,w))) | x = K(y,T(z,u)). K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). 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)). (a(x,y,z) * u) * K(w,T(v5,u)) = K(w,v5) * (a(x,y,z) * u). K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). x != (a(y,z,u) * w) * K(v5,T(v6,w)) | x = (K(v5,v6) * a(y,z,u)) * w. 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. x != (K(y,z) * a(u,w,v5)) * v6 | x = (a(u,w,v5) * K(y,z)) * 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 * (K(y,z) * (a(u,w,v5) * v6)) != (K(y,z) * a(u,w,v5)) * v6 | 1 = x. 1 = K(a(x,a(y,z,u),w),v5). K(a(x,a(y,z,u),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). T(a(x,a(y,z,u),w),v5) = a(x,a(y,z,u),w). 1 / (a(x,a(y,z,u),w) \ 1) = a(x,a(y,z,u),w) * K(v5,a(x,a(y,z,u),w)). a(x,a(y,z,u),w) * K(v5,a(x,a(y,z,u),w)) = 1 / (a(x,a(y,z,u),w) \ 1). T(x,a(y,a(z,u,w),v5)) = x. x * a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) * x. 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. (a(x,a(y,z,u),w) \ v5) * a(x,a(y,z,u),w) = v5. K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). x != y | x = (y * z) / z. K(x,L(y,a(z,u,w),v5)) = (K(x,y) * v6) / v6. 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 * y != (a(z,u,w) * x) * T(v5,x) | T(a(z,u,w) * v5,x) = y. T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). a(x,y,z) * T(u,K(w,v5)) = T(a(x,y,z) * u,K(w,v5)). x != y * T(z,K(u,w)) | x = K(z,K(u,w)) * (y * z). T(a(x,y,z) * u,K(w,v5)) = K(u,K(w,v5)) * (a(x,y,z) * u). K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). 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,K(y,a(z,u,w) * v5)) = K(x,K(v5,y)). 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(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)) = T(x,K(y,a(u,w,v5) \ z)). T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,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))) = T(x,K(y,z)). 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)). 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). K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. K(x,K(y,z) * (u \ w)) = K(x,(K(z,y) * u) \ w). K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). x != K(y,K(z,u) * w) | x = K(y,K(u,z) * w). K(x,(K(y,z) * u) \ w) = K(x,K(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(y,z) * ((y \ u) \ w)). K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x / (K(w,u) * z)). K(x,K(y,z) * (u \ w)) != v5 | K(x,u \ (K(y,z) * w)) = v5. x != K(y,z / (K(u,w) * v5)) | x = K(y,z * (v5 \ K(w,u))). K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x * (z \ K(u,w))). K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y * (z \ K(u,w))). K(x,K(y,z)) * u != K(x,y * (z \ K(w,v5))) | u = K(x,(z \ K(w,v5)) * y). 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,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,(y / z) * K(u,w)) = K(x,y / (K(w,u) * z)). K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). K(x,y / (z * 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. x != K(y,z * ((u \ 1) \ K(w,v5))) | x = K(y,z * (u * K(w,v5))). K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). 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 * ((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) * 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,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = 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 * K(u,w)) \ v5)) * K(x,K(y,K(w,u) * (z \ v5))) = K(x,((z * K(u,w)) \ v5) * y). 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,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * 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 * 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). K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. 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. 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(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 * z) \ v5)) | x = K(y,(w * T(z,u)) \ v5). 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). 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)). a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = 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. K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. 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). 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) * 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,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). 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 * ((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)). 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 \ T(y * T(x,K(z * u,w)),K(T(z,v5) * u,w)) = T(y,K(w,T(z,v5) * u) * x). (x * (y * (K(z,K(u,w)) * v5))) \ v6 = K(z,K(u,w)) * ((x * (y * v5)) \ v6). 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)). K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). 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,(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,K(u,z) * (w \ v5)). K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). K(x,y \ (z * K(u,w))) = K(x,K(w,u) * (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(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 \ 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,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). L(x,K(y,K(z,u)) * w,v5) = L(x,L(w,K(y,K(z,u)),v5),K(y,K(z,u)) * v5). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). L(x,y,z * 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 * K(y,K(z,u))). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5 * K(z,K(u,w))). L(x,y,z) = L(x,y * K(u,K(w,v5)),z). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). x != L(y * K(z,K(u,w)),v5 * K(z,K(u,w)),v6) | x = (v6 * (v5 * K(z,K(u,w)))) \ (v6 * (v5 * y)). L(x * K(y,K(z,u)),w,v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). 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,T(y,K(z,u)),w) = L(x,y,w). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). x != (y * (z * K(u,K(w,v5)))) \ v6 | x = K(u,K(w,v5)) * ((y * z) \ v6). L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * ((v5 * w) \ (v5 * (w * 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,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). L(x,y,z) * K(u,K(w,v5)) = L(K(u,K(w,v5)) * x,y,z). T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). 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))). x != K(y,K(z,u \ z)) | x = K(y,K(u,z)). 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(z,u \ (w \ v5))) | x = K(y,K(z,(v5 \ w) * 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,u * (z \ w))). 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))). 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) * 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. T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). 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),u) * v5) | x = T(y,K(z * w,u) * v5). T(x,K(y \ z,u) * w) = T(x,K(z * y,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). x != T(y,K(z \ u,w) * v5) | x = T(y,K(w,a(v6,v7,v8) \ (u / z)) * v5). T(x,K(y * z,u) * w) = T(x,K(u,a(v5,v6,v7) \ (y / z)) * w). T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v5 * v6,y) * v7). 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,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 * (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). 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 != 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). (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,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). T(x,T(y,z)) / u = K(x,K(y,z)) * (T(x,y) / u). K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. 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,u)) != v5 | K((u * K(x,y)) / z,w) = v5. K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). 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,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(y,z),u) = K(x * (z * (y / z)),u). K(x * (y * (z / y)),u) = K(x * T(z,y),u). x != K(y * (z * (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). x != K((y \ 1) * z,u) | x = K(y \ z,u). 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,z) * z),u) = K(x \ T(y * z,z),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 \ (y * z),u) = K(x \ T(z * y,y),u). K(x \ T(y * z,z),u) = K(x \ (z * y),u). K(x \ T(y,z),u) = K(x \ (z * (y / z)),u). K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). x != K((y \ z) \ u,L(w,z,y)) | x = K(z \ (y * u),w). K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). K(x \ T(y,x),z) != u | K(y / x,z) = u. K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). 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). x != T(y,L(z,u,K(w,v5))) | x = T(y,z). T(x,y / (z * K(u,w))) = T(x,(y * K(w,u)) / z). T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). K(x,K(y,z)) * (x * K(u,w)) = T(x * K(u,w),K(y,z)). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). x * y != K(z,K(u,w)) * (z * K(v5,v6)) | x \ T(z * K(v5,v6),K(u,w)) = y. T(x,K(y,z)) \ T(x * K(u,w),K(y,z)) = K(u,w). 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,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)). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). L(x,y,K(z,T(u,w)) * v5) != v6 | L(x,y,K(z,u) * v5) = v6. K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). 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). 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). x != K((y * K(z,u)) / w,v5) | x = K(y * (w \ K(z,u)),v5). K(x / (y * (z * K(u,w))),v5) = K(x * ((y * z) \ K(w,L(u,z,y))),v5). K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). 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)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). x != T(K(y,z) * u,w) * K(z,T(y,v5)) | x = K(z,T(y,v5)) * T(u * K(y,z),w). K(x,y) * T(z * K(y,T(x,u)),w) = K(x,T(y,u)) * T(z * K(y,x),w). K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). T(x,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). (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). 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 * 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(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). x != K(y,(z * K(u,w)) / v5) | x = K(y,z / (v5 * K(w,u))). K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,y / (z * K(w,u))). x != K(y,(z * u) \ (K(w,v5) * z)) | x = K(y,u \ K(w,v5)). K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). 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 / (z * (u / z))) != w | K(x,y / T(u,z)) = w. K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). K(x,((y \ z) * y) * u) = K(x,(y * (z / 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). 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 * T(z,u)) = K(x,K(z,u) \ (y * z)). K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). K(x,K(y,z) * (u * y)) = 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,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 \ 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). 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)). x * y != T(z,u \ w) | x \ T(z,(u \ 1) * w) = y. 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)). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). 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). 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 \ K(z,u),y)) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ 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)). T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),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))). x != T(y,z * K(u,T(w,v5))) | x = T(y,K(w,u) * 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,L((z * K(v5,w)) / u,u,K(w,v5))). T(x,K(y,z) * (u / w)) = T(x,L((u * K(z,y)) / w,w,K(y,z))). T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,K(u,z) * (y / w)). 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(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). x != K(y * K(z,L(u,w,v5)),v6) | x = K(K(u,z) * y,v6). K(x * (y \ K(z,L(u,w,v5))),v6) = K(K(u,z) * (x / y),v6). x != K(y * ((z * u) \ K(w,L(v5,u,z))),v6) | x = K(y / (z * (u * K(v5,w))),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). 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). 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,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)). T(K(x,y * T(z \ 1,u)),(w * (1 / x)) \ w) = ((w * (1 / x)) \ w) \ T((w * (1 / x)) \ w,y / T(z,u)). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(x * (1 / y)) \ x). 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). 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) = T(x,K(u * (y * z),y \ z) * w). T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). 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). T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). T(x,K(y \ z,u) * w) = T(x,K(z * y,(z \ y) * u) * w). T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). 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)). K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). x != K(y * K(z,T(u,w)),v5) | x = K(K(u,z) * y,v5). K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). x != K((K(y,z) * u) \ w,v5) | x = K((u \ w) * K(z,y),v5). 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). 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). x != K(K(y,z) * (u / (w * v5)),T(v6,w * v5)) | x = K((w * (v5 * K(y,z))) \ 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(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ 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). 1 * x = L(x,K(y,z),K(u,w)). L(x,K(y,z),K(u,w)) = 1 * x. L(x,K(y,z),K(u,w)) != v5 | v5 = x. K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). (x * T(y,K(z,u))) * L(w,y,x) = x * (T(y,K(z,u)) * w). x * a(K(y,z),u,w) = a(K(y,z),u,w) * x. a(K(x,y),z,u) * w = w * a(K(x,y),z,u). 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)). x * a(y,z,K(u,x)) = L(x,z * y,K(y,u)). L(x,y * z,K(z,u)) = x * a(z,y,K(u,x)). x != L(y,z,K(u,w)) | x = R(y,z,K(u,w)). x * a(x,y,K(z,u)) = R(x,y,K(z,u)). x * a(x,y,K(z,u)) = L(x,x \ y,K(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). 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)). x != L(y,y \ z,K(z,u)) | x = y. L(x,x \ y,K(z,y)) = x. L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(K(v5,w) * u,z)). L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). x != L(y,z,K(u,T(w,v5))) | x = L(y,z,K(u,w)). x = L(x,x \ T(y,z),K(u,y)). L(x,x \ T(y,z),K(u,y)) = x. (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). 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)). T(x,y / a(z,u,w)) != v5 | T(x,a(z,u,w) \ y) = v5. R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. a(x,y,K(z,z * u)) != w | a(z,y,K(u,x)) = w. a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. a(x,y,K(z * u,z)) != w | a(x,y,K(u,z)) = 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 * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(1 / y) \ 1). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),y). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). K((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). K((1 / x) \ 1,y / T(z,u)) = K(x,y * T(z \ 1,u)). 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,K(y,z)) = K(x,T(z \ 1,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 \ 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 \ 1) * w) | x = K(y,T(z,u) * w). K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). 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). (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 * (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). L(x,K((y \ z) * u,y / u),(u \ y) * (z / (u \ y))) = x. K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). 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). x != K(y,T(T(z / u,z) * w,w \ 1) \ v5) | x = K(y,(((T(z / u,z) * w) \ T(z / u,z)) \ (u \ z)) \ v5). 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 \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). 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)). ((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,(z \ u) * w) * v5) | x = T(y,K(z * u,w) * v5). ((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(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)) != 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) \ 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 * 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,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). 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 * ((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)). K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. x != K(y,z * T(u,w \ v5)) | x = K(y,z * T(u,w * v5)). K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). K(x,y * ((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)). x != K(y,z * K((u \ w) * v5,v5 \ u)) | x = K(y,K(v5 \ u,w) * 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(K(z \ u,w) * v5,y). 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). x != K(K(y * (z * u),y * z) * w,v5) | x = K(K(u,y * z) * w,v5). 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,u * (z * y)) * w,v5). (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. x != K(K(y,z \ u) * w,v5) | x = K(K(y,u * z) * w,v5). K(K(x,y * (z * u)) * w,v5) = K(K(x,(z \ y) * u) * w,v5). K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (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). T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). x != T(y,K(z,a(u,w,v5) \ (v6 / v7)) * v8) | x = T(y,K(v6 * v7,z) * v8). 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). 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). x != (y * z) / (K(u,y) * z) | x = T(y,u). T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). T(x,y) = T(x,a(z,a(u,w,v5),v6) \ y). T(x,a(y,a(z,u,w),v5) \ v6) = T(x,v6). (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). (a(x,y,z) * u) * w != v5 * (a(x,y,z) * u) | w = T(v5,u * a(x,y,z)). T(x,y) = T(x,y * a(z,a(u,w,v5),v6)). T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). (a(x,a(y,z,u),w) * v5) \ v6 = a(x,a(y,z,u),w) \ (v5 \ v6). x * y != (a(z,a(u,w,v5),v6) * v7) * v8 | T(x,y) = y \ (v7 * (a(z,a(u,w,v5),v6) * v8)). T(R(a(x,a(y,z,u),w),v5,v6),v6 * v5) = (v6 * v5) \ (v5 * (a(x,a(y,z,u),w) * T(v6,v5))). (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = T(R(a(z,a(u,w,v5),v6),y,x),x * y). 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). x * y != (a(z,a(u,w,v5),v6) * v7) * v8 | x \ (v7 * (a(z,a(u,w,v5),v6) * v8)) = y. R(a(x,a(y,z,u),w),v5,v6) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. (a(x,a(y,z,u),w) * (v5 * v6)) \ (v5 * (a(x,a(y,z,u),w) * v6)) = a(a(x,a(y,z,u),w),v5,v6). L((x * y) \ (a(z,a(u,w,v5),v6) \ (x * (a(z,a(u,w,v5),v6) * y))),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(T(a(z,a(u,w,v5),v6),x * y),y,x). (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(a(z,a(u,w,v5),v6),y,x). x != (y * z) \ (z * (u * T(y,z))) | x = L(T(u,T(y,z)),y,z). R(a(x,a(y,z,u),w),v5,v6) = L(T(a(x,a(y,z,u),w),T(v6,v5)),v6,v5). L(T(a(x,a(y,z,u),w),T(v5,v6)),v5,v6) = R(a(x,a(y,z,u),w),v6,v5). L(a(x,a(y,z,u),w),v5,v6) = R(a(x,a(y,z,u),w),v6,v5). R(a(x,a(y,z,u),w),v5,v6) = L(a(x,a(y,z,u),w),v6,v5). (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). (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,x) * (z * a(x / y,y,x / y)) = K(x / y,y) * z. K(x \ y,y) * (z * a(y / x,x,y / x)) = K(y / x,x) * z. K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(y / x,x) * z. K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(x \ y,x) * z. L(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. 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 * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * 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 * (a(y,z,y) * u)) \ w != v5 | (x * u) \ (a(y,z,y) \ w) = v5. K(x * (y \ z),y) = K((y \ x) * z,y). K((x \ y) * z,x) = K(y * (x \ z),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)). a(x,y,x) * z != (a(x,y,x) * u) * w | z = u * w. (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)) = a(x,y * a(z,u,z),w). x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / 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)). (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. T(x,L(y \ R(y,z,u),y,z * u)) != w | L(x,z,K(u,y)) = w. T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. T(x,(1 / y) \ z) != u | T(x,y * z) = u. K(L(x,y,K(z,u)) \ w,v5) = K(x \ w,v5). x != K(y,T(z,u)) | x = K(y,z) * K(u,K(y,z)). K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). K(x,K(y,z * a(u,w,v5))) = K(x,K(z,y)). T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / 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)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. K(((1 / x) \ y) * K(z,u),w) != v5 | K(((x \ 1) * K(u,z)) \ y,w) = v5. x != a(y,y \ z,y) * ((z * y) \ u) | x = K(y,y \ z) * ((y * z) \ u). (x * L(y,y \ x,y)) \ z = K(y,y \ x) * ((y * x) \ z). K(x,x \ y) * ((x * y) \ z) = (y * L(x,x \ y,x)) \ z. K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). K(x,x \ y) * ((x * y) \ z) = (x * ((x \ y) * x)) \ z. 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). (x * (a(y,z,y) * (u * w))) \ ((x * u) * (a(y,z,y) * w)) = a(x,u * a(y,z,y),w). (x * (y * z)) \ (a(u,w,u) \ ((x * y) * (a(u,w,u) * z))) = a(x,y * a(u,w,u),z). (x * (y * z)) \ ((x * y) * z) = a(x,y * a(u,w,u),z). a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). a(x,y * a(z,u,z),w) = a(x,y,w). x != a(y,z * a(u,w,u),v5) | x = a(y,z,a(u,w,u) * v5). 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,R(y,z,y),u) = a(x,y,u). a(x,y,z) = a(x,L(y,u,y),z). a(x,L(y,z,y),u) = a(x,y,u). a(x,T(y * z,y),u) = a(x,z * y,u). a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). a(x,y,z \ u) = a(x,y,R(z,w,z) \ u). a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). a(x,T(y,z),u) = a(x,(z \ y) * z,u). a(x,(y \ z) * y,u) = a(x,T(z,y),u). T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. 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)). 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,(T(y,z) \ z) * u) = K(x,T(y \ z,z) * u). K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). a(x,y,x) \ (z \ x) = z \ L(x,y,x). K(x,K(y,z) \ u) = K(x,K(z \ y,z) \ u). K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). 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 != L(y,z,K(u,u \ w)) | x = L(y,z,K(u,w)). L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). K(x * K(y,y \ z),u) = K(K(z,y) * x,u). K(x * K(y,y \ z),u) != w | K(x * K(z,y),u) = w. 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,y * (z \ L(u,w,u))) = K(x,y * (z \ 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))). a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). K(x,y \ L(y,z,u)) != w | K(x,a(u,z,y) \ 1) = w. K(x,y * L(y \ 1,z,u)) != w | K(x,a(u,z,y \ 1) \ 1) = w. 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). L(x,y,R(z,u,z)) != w | L(x,y,z) = w. L(x,y,T(z * u,z)) != w | L(x,y,u * z) = w. L(x,y,z * (a(u,w,u) * v5)) != v6 | L(x,y,z * v5) = v6. L(x,y,T(z * u,u \ 1)) != w | L(x,y,u * z) = w. K(x,(y \ T(z,y)) * u) = K(x,T(y \ z,z) * u). K(x,T(y \ z,z) * u) = K(x,(y \ T(z,y)) * u). T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). x != L(y,z,u * K(w,v5)) | x = L(y,z,K(w,v5) * u). L(x,y,z * K(u,w)) = L(x,y,K(w * u,w) * z). L(x,y,K(z * u,z) * w) = L(x,y,w * K(u,z)). L(x,y,z * K(u,w)) = L(x,y,z * K(L(w,v5,v6) \ u,w)). L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(v6,u)). T(x / y,x) * (z / T(x / y,x)) = (y \ x) * (z / (y \ x)). T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. x != K(y,T(z \ u,u) * w) | x = K(y,(u / z) * w). K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). x != K(y,(T(z,u) * u) \ w) | x = K(y,(u * z) \ w). K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). 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,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). x != K(y \ (z \ (y * u)),z) | x = K(z \ u,z). K(x \ T(y,x * z),y \ (x * z)) = K((y \ (x * z)) \ z,y \ (x * z)). K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (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)). 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). x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. 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)). 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 / (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)). (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). 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. x != a(y,z,y) \ (u / y) | x = u / R(y,z,y). (L(x,y,x) * z) / x = (x * z) / R(x,y,x). x != y \ (a(z,u,z) * w) | x = a(z,u,z) * (y \ w). L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = a(u,w,u) * ((a(u,w,u) * (z * y)) \ (z * (y * x))). a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,L(u,w,a(x,y,x)),a(x,y,x) * w). L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = a(u,w,u) * L(a(u,w,u) \ x,y,z). L(x,y,a(z,u,z) * w) = a(z,u,z) * L(a(z,u,z) \ x,y,w). a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,a(x,y,x) * w). x != L(y,z,a(u,w,u) * v5) | x = L(y,z,v5). a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). L(x,y,z) * a(u,w,u) = L(x * a(u,w,u),y,z). (x \ (y * z)) * a(u,w,u) = L(((y \ x) \ z) * a(u,w,u),y \ x,y). L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). (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)). x != (y * (z \ u)) * a(z,w,z) | x = y * (L(z,w,z) \ u). L(K(x,y),z \ 1,z) / z = K(x,y) * (L(z,z \ K(x,y),z) \ 1). K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). K(x,T(y \ ((z \ u) * z),w)) != v5 | K(x,T(y \ T(u,z),w)) = v5. a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). 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)). K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. 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 * 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))). x != a(y,z,K(y \ u,w)) | x = a(y,z,K(u,w)). a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). K(x,y) * z != K(x,L(y,u \ 1,u)) / u | z = L(u,u \ K(x,y),u) \ 1. 1 / x = L(x,x \ K(y,z),x) \ 1. 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) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. T(x,x * a(y,z,u)) = L(x,z,K(u,y)). x * y != z * a(u,w,v5) | x \ ((z * (a(u,w,v5) * z)) / z) = y. x \ (((a(y,z,u) \ x) * (a(y,z,u) * (a(y,z,u) \ x))) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). 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)). x != T(y,R(z,u,w)) | x = T(y,L(z,u,w)). a(x,y,z) \ R(u,a(x,y,z) \ 1,a(x,y,z)) = T(u * (a(x,y,z) \ 1),L(u,a(x,y,z) \ 1,a(x,y,z))). 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 \ (((a(y,z,u) \ x) * x) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). K(a(x,y,z) \ u,a(x,y,z)) != w | K(a(x,y,z) \ u,u) = w. K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = 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 \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). (x * y) * K(x * (z \ y),z) = x * (y * K(x * (z \ y),z)). x * (y * K(x * (z \ y),z)) != u * K(x * (z \ y),z) | x * y = u. x * K(y * (z \ u),z) != y * (u * K(y * (z \ u),z)) | y * u = x. (x * (y * K(x * (z \ y),z))) * K(K(x * (z \ y),z),x * y) = K(x * (z \ y),z) * (x * y). (x * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * (z \ y))) = K(x * (z \ y),z) * (x * y). 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). K(x,L(y * (z \ u),z \ u,z)) != w | K(x,(z * (y \ 1)) \ u) = w. (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). ((a(x,y,z) * u) * w) \ (u * (a(x,y,z) * w)) = K(w,u) * K(u,a(x,y,z) * w). (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). 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 * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(K(z,y) * x,(K(z,y) * x) \ 1). L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). (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 != (L(1 / y,z,u) \ K(y,w)) \ T(L(1 / y,z,u) \ 1,w) | x = K(w,T(y * L(y \ 1,z,u),T(y,w))). 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,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,(y \ 1) * z) != u | K(x,y \ z) = u. K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. T(x,(K(y,z) * u) \ w) != v5 | T(x,(u \ K(z,y)) * w) = v5. 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). 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. (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). T(x,L(y,z \ x,z)) = T(x,y). T(x,x \ (y * z)) = T(x,(y \ x) \ z). T(x,(y \ x) \ z) = T(x,x \ (y * z)). x != T(y,(z \ y) \ u) | x = T(y,(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)). (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). 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). K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). 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) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. ((x * (y \ 1)) \ x) \ ((y \ 1) \ 1) = (y * ((y \ 1) * ((x * (y \ 1)) \ x))) \ y. (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = ((y * (x \ 1)) \ y) \ ((x \ 1) \ 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). L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). (x * (x * K(y,z))) \ (K(y,z) * (x * x)) != u | K(y,K(z,x * x)) = u. 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). ((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. x != ((y * z) \ y) \ (z \ 1) | x = z \ (1 / ((y * z) \ y)). (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (1 / ((y * (x \ 1)) \ y)). (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (((y * (1 / x)) \ y) \ 1). (x * (x \ ((y * (1 / x)) \ y))) \ x = (x \ 1) \ (((y * (1 / x)) \ y) \ 1). (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (x * (x \ ((y * (1 / x)) \ y))) \ x. (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. 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). (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). 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). (((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(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). 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 != y * (z \ K(z,u)) | x = (y * K(z,u)) * (z \ 1). 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 != (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). a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). ((T(x,y) * (K(z,x) * u)) * w) / a(z,T(x,y) * u,K(w,x)) = K(z,x) * ((T(x,y) * u) * w). x * a(y,z,K(u,w)) != x * v5 | a(w,z,K(y,u)) = v5. a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). 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,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. (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). (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). x != K(y,z) * ((u \ 1) \ 1) | x = T(u * K(y,z),u \ 1). (x \ K(y,z)) \ 1 = T(x * K(z,y),x \ 1). T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. 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). R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. x != T(y,K(z,u) * (w / v5)) | x = T(y,w / (v5 * K(z,u))). T(x,K(y,z) * (u / w)) = T(x,u / (w * K(z,z \ y))). T(x,y / (z * K(u,u \ w))) = T(x,K(w,u) * (y / z)). T(x,K(y,z * y) * u) != w | T(x,K(y,z) * 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). a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). x * y != K(z,L(u,w,v5)) * L(z,w,v5) | x \ T(L(z,w,v5),u) = y. K(x,y) \ T(L(x,z,u),y) = a(x,z,K(u,y)) * L(x,z,u). x != K(y,z) * a(y,u,K(w,z)) | x = K(y,L(z,u,w)). K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). 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)). 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)). x != a(y \ 1,z,K(u,w)) | x = a(u,z,K(y,w)). K(x,a(y,z,u) \ 1) = a(y,z,K(u,x)). 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,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. a(x,y,z) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. a(x,y,K(z,u)) * K(a(u,y,z),L(x,w,v5)) = a(a(u,y,z),K(v5,x),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)). 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 != 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)). a(x,y,K(z * u,u)) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,u * x)) != w | a(z,y,K(u,x)) = w. T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,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(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))). T(x,L(L(y \ 1,z,u),y,w)) = T(x,L((w * y) \ w,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 * (a(y,z,u) \ 1),x) != w | L(x * (a(y,z,u) \ 1),z,K(u,y)) = w. K(x,L(T((y * (z * u)) / (y * z),(y * z) * u),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). 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,T(z,x * u)) * u) = (K(y,T(z,u)) * u) * T(x,u). (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). (x * K(y,z)) * T(u,x) = u * (K(y,T(z,u * x)) * x). x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). 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)). a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = a(K(y,z),x,x). (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). K(x \ y,(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). 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). K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. 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)). K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). 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))). 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 != 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))). T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,(w * u) \ z)) * v5). x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ 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(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)). K(x,K(y,z * z)) = a(K(x,y),z,z). x != a(K(y,z),u,u) | x = 1. K(x,K(y,z * z)) = 1. T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. 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 * y != K(z,K(u,w)) * (v5 \ z) | x \ (v5 \ T(z,K(u,w))) = y. T(x,K(y,z)) \ (u \ T(x,K(y,z))) = x \ (u \ x). 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). x * T(L(y / x,z,u) * K(x,K(w,v5)),x) = T(x,K(w,v5)) * L(x \ y,z,u). K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). 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,y),u) = K(K(z,y) * x,u). K(x / (y \ z),u) = K(K(z,y) * (x / (z / y)),u). K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). x != (y * z) / z | x = y. T(x,K(y * (x * z),u)) = T(x,K(u,z * y)). (x * y) \ T(y,K(z,u)) = (x * T(y,K(z,u))) \ y. (x * T(y,K(z,u))) \ y = (x * y) \ T(y,K(z,u)). (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)). T(x,y \ K(z \ u,z)) = T(x,K(u,z) * (1 / y)). T(x,(y * K(z,u)) \ w) != v5 | T(x,(y \ K(u,z)) * w) = v5. 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. (x * (K(y,z) * K(u,w))) * 1 = (x * K(u,w)) * K(y,z). L(x,y,T(z * K(u,w),u \ z)) != v5 | L(x,y,T(u,w) * (z / u)) = v5. 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). a(K(x,K(y,z)) * T(u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). T(T(x,K(y,z * (u * w))),(z \ (T(w,u) * u)) * y) != v5 | T(x,y * (z \ (T(w,u) * u))) = v5. x != T(y,K(z,T(u,w)) * v5) | x = T(y,K(u,z) * v5). 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) = T(x,K(y,z * u) * w). T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). 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)). K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. 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,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). 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,y * (a(z,u,w) * v5)) != v6 | K(x,y * (v5 * a(z,u,w))) = v6. (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. 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)). T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). T(x,K(y,z)) * K(u,w) != v5 | v5 = T(x * K(u,w),K(y,z)). T(x,K(y,z)) * K(u,w) != v5 | T(x * K(u,w),K(y,z)) = v5. 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. T(x,y * T(z,u * w)) = T(x,K(u \ w,z) * (y * z)). T(x,K(y \ z,u) * (w * u)) = T(x,w * T(u,y * z)). T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. x != (y * K(z,u)) \ (T(y,K(w,v5) * v6) * K(z,u)) | x = L(K(y,v6 * K(w,v5)),y,v7). 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,z \ 1)) | 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(w,v5))) = K(x,y * K(u,z)). K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). 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(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. 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)). K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). T(x,K(y,(x * z) * u)) = T(x,K(y,z * u)). (x * y) \ (T(x,K(z,y * u)) * y) = K(u * (x * y),K(x,z)). K(x,T(K(y,z * u),z)) = K(u * (x * z),K(x,y)). K(x * (y * z),K(y,u)) = K(y,T(K(u,z * x),z)). K(x * (y * z),K(y,u)) = K(y,K(u,x * z)). 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 * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * y)) = K(x * (z \ y),z) * (x * y). (x * (y * K(x * (z \ y),z))) * K(z,1) = K(x * (z \ y),z) * (x * y). (x * (y * K(x * (z \ y),z))) * 1 = K(x * (z \ y),z) * (x * y). x * (y * K(x * (z \ y),z)) = K(x * (z \ y),z) * (x * y). K(x * (y \ z),y) * (x * z) = x * (z * K(x * (y \ z),y)). (x * (y * z)) / (y * (z * K(y * (x \ z),x))) != u | T(x,y * (x \ z)) = u. 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). T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). x != K(y,K(z \ u,z) \ w) | x = K(y,K(u,z) \ w). K(x,y * (z * (u / z))) = K(x,K(u,z) \ (y * u)). K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). x != K(y,K(z,u) \ (w * z)) | x = K(y,w * T(z,u)). K(x,y * (z * (u / z))) = K(x,y * T(u,z)). K(x,y * T(z * u,w)) = K(x,y * T(T(u * z,w),z)). K(x,y * T(T(z * u,w),u)) = K(x,y * T(u * z,w)). 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 * T(z * u,u)) != w | K(x,y * (u * z)) = w. T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). 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 * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). 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,y * T(z,u \ w)) = T(x,y * T(z,u * w)). T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). a(K(x,K(y,z)) * T(u * w,v5),T(v5,u * w),v6) = a(u * (K(x,K(y,z)) * w),v5,v6). 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). 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 != T(y,a(z,u,w)) | x = L(y,u,K(w,z)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. x != T(y,T(z,u * w)) | x = T(y,T(z,w * u)). 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)). L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) \ 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(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). (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). x != L(y,z,T(u * K(w,v5),u / w)) | x = L(y,z,T(w,v5) / (w / u)). L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). a(x / y,z,K(u,w)) = a(u,z,K(w,y \ x)). L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. (K(x,L(y,z,K(u,x))) * w) / ((x * T(y,L(x,z,u))) \ w) = x * L(y,z,K(u,x)). a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) != v5 * v6 | v5 \ w = v6. a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,y,z). 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. K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. K((x * a(y,z,u)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ w),v5) = v6. 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)). x * y != z * a(K(u,w),v5,v6) | x \ (z * a(v6,v5,K(w,u))) = y. a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = 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 * z,K(z,u)) = L(x,y,K(z,u)). 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)). 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). L(x,y * z,K(u,y)) = L(x,z,K(u,y)). x != L(L(y,z,u),u * z,K(w,u)) | x = L(y,z,u * K(w,u)). L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(u,z)). 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,(y * z) * u,K(w,R(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). 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)). T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). x != T(y,a(z * u,(z * u) \ z,u)) | x = T(y,u \ (((z * u) \ z) \ 1)). T(x,a(y * z,y,z)) = T(x,z \ (((y * z) \ y) \ 1)). T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). K(x,(T(y,y \ z) \ T(z,T(y,y \ z))) * u) = K(x,(y \ z) * u). 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). x != R(y,z * ((u * z) \ u),z \ (1 / ((u * z) \ u))) | x = ((z * ((u * z) \ u)) * y) * ((z * ((u * z) \ u)) \ 1). 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 * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) != v6 | K(x,K(y,R(w,z,u) * v5)) = v6. T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). x != K(y / z,T(y,z) \ (z * u)) | x = K(y / z,(z \ T(y,z)) \ u). 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,y \ (x * (z / x))) != u | K(x \ y,z / T(y,x)) = u. K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,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 \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). x != T(y,z * (1 / u)) | x = T(y,z / u). T(x,y \ K(z \ u,z)) = T(x,K(u,z) / y). 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 \ 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)). 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. L(x / y,K(x,z),y) = x / y. K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. 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). K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. T(x,T(y \ z,z * y)) = T(x,y \ z). 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 \ z) \ u) \ K(y \ z,y),(z / y) \ u)) = T(x,((y \ z) \ u) \ K(y \ z,y)). T(x,T(y \ T(z \ u,z),(u / z) * y)) = T(x,(K(z,z \ u) * y) \ (z \ u)). ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) != w | ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = w. K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). K(x,T(y,z) / u) = K(x,((z \ y) * z) / u). K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. K(x,(y * K(z \ 1,y * z)) / 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,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). x != ((y \ 1) \ K(z,u)) * (y \ 1) | x = (y * K(z,u)) * (1 / y). 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. x != T(y,K(z,u) / w) | x = T(y,w \ K(z,u)). T(x,y \ K(z \ u,z)) = T(x,y \ K(u,z)). (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). (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). a(x,y,K(z,u)) * (w * K(x,u)) = w * K(x,L(u,y,z)). x * (a(y,z,K(u,w)) * v5) = x * (a(w,z,K(y,u)) * v5). x * y != K(z,K(u,w)) * ((v5 * z) * v6) | x \ ((v5 * T(z,K(u,w))) * v6) = y. x \ ((y * T(x,K(z,u))) * w) = T(x,K(z,u)) \ ((y * x) * w). T(x,K(y,z)) \ ((u * x) * w) = x \ ((u * T(x,K(y,z))) * w). (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 != K(z,K(u,w)) * (v5 * (z * v6)) | x \ (v5 * (T(z,K(u,w)) * v6)) = y. x \ (y * (T(x,K(z,u)) * w)) = T(x,K(z,u)) \ (y * (x * w)). T(x,K(y,z)) \ (u * (x * w)) = x \ (u * (T(x,K(y,z)) * w)). x * (T(y,K(z,u)) * w) != (x * T(y,K(z,u))) * v5 | L(w,y,x) = v5. (x * T(y,K(z,u))) * w != x * (T(y,K(z,u)) * v5) | L(v5,y,x) = w. K(a(x,y,z),T(u,w)) != v5 | K(a(x,y,z),T(u,v6)) = v5. K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). T(x,y * (a(z,u,w) \ 1)) != v5 | T(x,a(z,u,w) \ y) = v5. (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),y * K(z,u),x). K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). 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,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). 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,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). 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 \ 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)). (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). x != a(K(y,K(z,u)) * T(w,v5),T(v5,w),v6) | x = a(K(y,K(z,u)) * w,v5,v6). a(x * (K(y,K(z,u)) * w),v5,v6) = a(K(y,K(z,u)) * (x * w),v5,v6). a(K(x,K(y,z)) * (u * w),v5,v6) = a(u * (K(x,K(y,z)) * w),v5,v6). (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. x != (K(y,K(z,u)) \ w) \ v5 | x = w \ (K(y,K(z,u)) \ v5). K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). x * T(L(K(x,K(y,z)) * (u / x),w,v5),x) = T(x,K(y,z)) * L(x \ u,w,v5). x * T(L(y / T(x,K(z,u)),w,v5),x) = T(x,K(z,u)) * L(x \ y,w,v5). x * L(T(y / T(x,K(z,u)),x),w,v5) = T(x,K(z,u)) * L(x \ y,w,v5). x * L(T(x,K(y,z)) \ u,w,v5) = T(x,K(y,z)) * L(x \ u,w,v5). T(x,K(y,z)) * L(x \ u,w,v5) = x * L(T(x,K(y,z)) \ u,w,v5). 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). K(x,a(y,z,u) \ w) * (w * x) = (a(y,z,u) * (a(y,z,u) \ w)) * T(x,a(y,z,u) \ w). K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,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). K(x,a(y,z,u) \ w) * (w * x) != v5 | w * T(x,a(y,z,u) \ w) = v5. (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). 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,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). a(x,y,K(z,K(u,w)) * v5) = ((x * (y * (K(z,K(u,w)) * v5))) \ ((x * y) * v5)) * K(z,K(u,w)). ((x * (y * (K(z,K(u,w)) * v5))) \ ((x * y) * v5)) * K(z,K(u,w)) = a(x,y,K(z,K(u,w)) * v5). x \ (y * (K(z,K(u,w)) * v5)) != v6 | K(z,K(u,w)) * (x \ (y * v5)) = v6. (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). (K(x,K(y,z)) * a(u,w,v5)) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). x != L(y,z,K(1 / u,w) * (v5 * (1 / u))) | x = L(y,z,(K(1 / u,w) * v5) * (u \ 1)). L(x,y,z * T(1 / u,w)) = L(x,y,(K(1 / u,w) * z) * (u \ 1)). L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,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,K(y,w)) = K(x,L(T(y,w),z,u)). x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). K(x,L(y,z,(u \ w) \ w)) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,T(y,z)) * (u * K(y,x)) = T(K(x,K(y,z)) * u,K(x,y)). K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (L(z,K(x,y),K(u,T(w,z))) * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (z * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). x != (K(y,K(z,u)) * w) * K(y,K(z,u)) | x = w. a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). x != L(y,z,K(u,w \ 1)) | x = L(y,z,K(w,u)). R(x,y,z * K(u,z \ 1)) = L(R(x,y,z),y * z,K(z,u)). L(R(x,y,z),y * z,K(z,u)) = R(x,y,z * K(u,z \ 1)). L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. ((x \ y) * x) / (z * K(x \ y,x)) = L(y / z,z,K(y,x)). L(x / y,y,K(x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). L(x,x \ (y \ z),K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). R(x,y,T(z,u)) = L(R(x,y,z),y,K(z,u)). L(R(x,y,z),y,K(z,u)) = R(x,y,T(z,u)). L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). (x * (y * z)) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). a(x,y,z) * (((x * y) * z) \ ((y * x) * z)) = (x * (y * z)) \ ((y * x) * z). x != L(y / z,z,K(y,u)) | x = y / z. ((x \ y) * x) / (z * K(x \ y,x)) = y / z. (x * y) / (z * K(y \ (y * x),y)) = (y * x) / z. (x * y) / (z * K(x,y)) = (y * x) / z. (x * y) / (z \ T(x,y)) = (y * x) / (z \ x). x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). L(x,y \ z,K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). (x * (y * z)) \ ((x * y) * z) = a(x,K(u,K(w,v5)) * y,L(z,y,K(u,K(w,v5)))). a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). a(x,y * K(z,u),w) = a(x,K(z,u) * y,w). a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). a(x,T(y,z) * u,w) = a(x,(y * u) * K(y,z),w). a(x,(y * z) * K(y,u),w) = a(x,T(y,u) * z,w). a(x,K(y,z) * u,K(w,v5)) != v6 | a(w,u * K(y,z),K(v5,x)) = v6. K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). L(x,y,(K(z \ 1,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,u)). L(x,y,T(z,u) * (w / z)) = L(x,y,T(z,u) / (z / w)). L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). K(x,y * (z * K(u,w / u))) = K(x,(y * z) * K(u,w)). x != K(y,(z * u) * K(w,v5)) | x = K(y,z * (u * K(w,v5))). K(x,y * (z * K(u,w / u))) = K(x,y * (z * K(u,w))). K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(u,w))). K(x,y * (z * K(u,u \ w))) != v5 | K(x,y * (z * K(w,u))) = v5. 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(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)). x != K(L(y,z,u),w) * v5 | x = K(y,L(w,z,u)) * v5. K(x,K(y,z)) = K(x,L(y,u,w)) * K(y,L(T(x,z),u,w)). K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). K(x,y * ((z \ u) \ u)) = K(x,y * (u / (u / z))). K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). ((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). 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 * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). K(x,T(y \ z,y) * u) != w | K(x,(z / y) * u) = w. 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 * (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,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. R(x,y,T(z,u)) = R(x,y,z * K(u,z \ 1)). R(x,y,z * K(u,z \ 1)) = R(x,y,T(z,u)). R(x,y,T(1 / z,u) \ 1) = R(x,y,T(z,u)). R(x,y,T(z,u) \ 1) = R(x,y,T(z \ 1,u)). L(x \ R(x,y,T(z \ 1,u)),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). L(x,y,K(z \ 1,u) * (w * (z \ 1))) = L(x,y,w * T(1 / z,u)). x != L(y,z,K(u,w) * (v5 * u)) | x = L(y,z,v5 * T(u,w)). L(x,y,z * T(1 / u,w)) = L(x,y,z * T(u \ 1,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)). T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (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). T(x,T(R(1 / y,y,z),y * z) * u) = T(x,K(y * z,y) * ((z / (y * z)) * u)). T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). 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))). 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,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)). ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). 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 \ (z \ u)) = K(x,y \ (z \ T(u,K(w,v5)))). K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). K(x,y * 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)). L(x,y,K(z * (L(u,w,v5) \ 1),z) * v6) = L(x,y,v6 * K(u \ 1,L(z,w,v5))). x != a(y,z,u) | x = (y * (z * u)) \ ((y * z) * u). a(K(x,K(y,z)) * (u * w),v5,v6) = ((u * (K(x,K(y,z)) * w)) * (v5 * v6)) \ (((u * (K(x,K(y,z)) * w)) * v5) * v6). ((x * (K(y,K(z,u)) * w)) * (v5 * v6)) \ (((x * (K(y,K(z,u)) * w)) * v5) * v6) = a(K(y,K(z,u)) * (x * w),v5,v6). ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * (K(z,K(u,w)) * y)) * v5) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * (K(z,K(u,w)) * v5)) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * v5) * (K(z,K(u,w)) * v6)) = a(K(z,K(u,w)) * (x * y),v5,v6). K(x,K(y,z)) * (((u * w) * (K(x,K(y,z)) * (v5 * v6))) \ (((u * w) * v5) * v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). K(x,K(y,z)) * (K(x,K(y,z)) * (((u * w) * (v5 * v6)) \ (((u * w) * v5) * v6))) = a(K(x,K(y,z)) * (u * w),v5,v6). K(x,K(y,z)) * (K(x,K(y,z)) * a(u * w,v5,v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). 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(x,y,z) = a(x * K(u,K(w,v5)),y,z). a(x * K(y,K(z,u)),w,v5) = a(x,w,v5). x != y | x = K(z,K(u,w)) * (K(z,K(u,w)) * y). a(x * K(y,K(z,u)),w,v5) = K(v6,K(v7,v8)) * (K(v6,K(v7,v8)) * a(x,w,v5)). a(x * K(y,K(z,u)),w,v5) != v6 | v6 = a(x,w,v5). a(x * K(y,K(z,u)),w,v5) != v6 | a(x,w,v5) = v6. a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. K((x \ 1) * R(x,y,y \ 1),z) != u | K(a(x,y,y \ 1),T(z,w)) = u. 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). x * y != z \ (z * (T(u,z) * K(w,T(v5,u * z)))) | x \ T(K(w,v5) * u,z) = y. T(x,y) \ T(K(z,u) * x,y) = K(z,T(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 \ z) \ T(K(u,w) * x,y \ z) = K(u,T(w,x * ((z \ y) \ 1))). L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,L(v5,u,w))). 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 != K(y,K(z,u)) * ((w \ K(y,u * z)) * w) | x = K(y,z * u) * K(w \ K(y,u * z),w). (x \ K(y,z * u)) * x = K(y,z * u) * K(x \ K(y,u * z),x). K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * 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))). x != K(y,(z * (u \ 1)) * K(w,v5)) | x = K(y,z * (u \ K(w,v5))). K(x,y * (z \ K(u \ 1,w))) = K(x,y * (z \ K(u,w))). x != T(y,z) \ T(K(u,w) * y,z) | x = K(u,T(w,y * z)). 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))). K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). 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,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,(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 \ 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). 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)). 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). x != K(y,z * (u \ K(w \ 1,v5))) | x = K(y,z * (u \ K(w,v5))). K(x,T(y,z \ 1) / u) = K(x,y * (u \ K(z,z * y))). 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). 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 != a(y,z * K(u,z),z \ K(z,u)) | x = a(y,z,z \ 1). a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). ((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)). 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))). L(x,y * x,K(z,u)) = L(x,y,K(z,u)). 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 \ (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((y * z) \ u,z * y) | x = K(z \ (y \ u),z * y). K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),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). 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),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). T(K(x \ (y \ z),x * y),u) = K((y * x) \ T(z,u),x * y). K((x * y) \ T(z,u),y * x) != w | K(y \ (x \ z),T(y * x,u)) = w. K((x * y) \ z,T(x * y,u)) != w | K(x \ (y \ z),T(x * y,u)) = w. 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,((w \ u) \ 1) * K(x,y)). (x / y) / K(x,z) = x / (K(x,z) * y). 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 * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). 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 * 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 / y) * K(z,x) = x / (K(x,z) * y). x / (K(x,y) * z) = (x / z) * K(y,x). 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) * K(K(x,y) * z,z \ 1) != u | z * (K(x,y) / z) = u. K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. (K(x,y) * z) * T(1 / z,K(x,y)) != u | z * (K(x,y) / z) = u. x != K(y,z) * K(u \ 1,u * K(y,z)) | x = (u \ 1) * (K(y,z) * u). (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). 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,(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 != K(y,T(z \ 1,u) \ y) | x = K(y,T(z * y,u)). K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). 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. K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). 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 * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). 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)). (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (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). x != K(y / z,(y / z) \ u) | x = K(y / z,u * (z / y)). K(x \ y,(y \ z) * x) = K(y / x,z * (x / y)). K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((z \ x) * K(x \ y,x),(y / x) * z). (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(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). ((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 != 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(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)). 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). 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)). x != T(K(y,K(z,u)) \ w,v5) | x = K(y,K(z,u)) \ T(w,v5). x \ T(y * x,K(z,u)) = K(z,K(u,x)) \ T(y,K(z,u) \ x). 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))). x != K(y,z \ (u \ T(w,K(v5,v6)))) | x = K(y,z \ (u \ w)). 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)). x != K(y,z \ T(u,w / v5)) | x = K(y,z \ T(u,v5 \ w)). K(x,y \ T(z,u)) = K(x,y \ T(z,K(w,v5) \ u)). K(x,y \ T(z,K(u,w) \ v5)) = K(x,y \ T(z,v5)). K(x,y \ T(z,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,(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 \ 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. 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). K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ 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((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). x != K(y / z,u / y) | x = K(z \ y,y \ u). K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). x * K(y \ z,z \ (x * y)) != u | (z / y) * (x / (z / y)) = u. (x \ T(y,x)) * (z / (x \ T(y,x))) != u | (y / x) * (z / (y / x)) = u. x != K(y * K(z,u),w) | x = K(K(u,z) \ y,w). K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). x * (K(y,z) * K(u,w)) = (x * K(u,w)) * K(y,z). (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). ((x * y) * (K(z,u) * K(w,v5))) / ((y * K(w,v5)) * K(z,u)) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). 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 * y) * (K(z,u) * K(w,v5))) / (y * (K(z,u) * K(w,v5))) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). 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). R(x,y,K(z,u) * K(w,v5)) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). R(R(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). R(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). L(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). x != L(L(y,z,u),w,v5) | x = L(L(y,w,v5),z,u). R(x,y,K(z,u) * K(w,v5)) = L(L(x,y * K(w,v5),K(z,u)),y,K(w,v5)). L(L(x,y * K(z,u),K(w,v5)),y,K(z,u)) = R(x,y,K(w,v5) * K(z,u)). (K(x,y) * (z * K(u,w))) \ (K(x,y) * (K(u,T(w,z)) * (z * v5))) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). x != (y * (z * K(u,w))) \ (y * (K(u,T(w,z)) * (z * v5))) | x = L(L(v5,z,K(u,w)),z * K(u,w),y). L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y * K(w,v5),K(z,u)). 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). (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 * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). 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). K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). 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 \ ((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,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))). 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,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 / (K(z,u) \ w),v5) | x = K(y / (w * K(u,z)),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(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). 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,(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). K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w). 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). K(K(x,y) * ((1 / z) \ u),w) != v5 | K(((z \ 1) * K(y,y \ x)) \ u,w) = v5. K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). K(x,K(K(y,y \ z),u) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). x != T(y,K(z,u) * (w / z)) | x = T(y,w / T(z,u)). T(x,y / (z * K(u,u \ z))) = T(x,y / T(z,u)). 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)). K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),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((x * y) \ z,u) = K((T(y,x) * x) \ z,u). K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). K(K(T(x,y),z) * ((T(x,y) / u) \ w),v5) = K((T(T(x,z),y) / u) \ w,v5). 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)). K(x \ (T(y,z) * u),w) = K(K(y,z) * (x \ (y * u)),w). K(K(x,y) * (z \ (x * u)),w) = K(z \ (T(x,y) * u),w). K(K(x,y) * (((z * x) * u) \ w),v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. 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(((a(x,y,z) * T(u,w)) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). x != K(K(y,z) * (u / (y / z)),w) | x = K(u / (z \ y),w). K(x / (y / T(z,y)),u) = K(x / (z \ y),u). 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). K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). 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))). 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 / 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 \ u) \ K(z,w)),v5) | x = K(y / (T(z,w) \ u),v5). K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). 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 / (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 * (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). 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) * u) / (K(y,z) * (K(w,v5) * u)) | x = K(v5,w). 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,u) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). K(x,(T(T(y * z,u),y) \ w) * v5) = K(x,(T(z * y,u) \ w) * v5). K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). x != (K(y,z) * u) * (w / (K(y,z) * u)) | x = u * T(w / T(u,K(y,z)),K(y,z)). (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). x != ((y / z) * K(y \ u,y)) * (u / ((y / z) * K(y \ u,y))) | x = u * K(z \ T(y,u),(u / y) * 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). 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))). (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)). 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 * 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(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)). K(x,y / (T(z,u) \ w)) != v5 | K(x,K(u,z) * (y / (z \ w))) = v5. K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ 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))). x != K(y,z * ((u * w) * K(v5,v6))) | x = K(y,z * (u * (w * K(v5,v6)))). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). 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). x != K(y,z * K(u \ w,v5)) | x = K(y,z * K(u * w,v5)). K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). 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)))). 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))). 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(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). 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). x != K(T(y \ z,K(y,u)) * (w * K(y,y \ u)),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,z)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). 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). K(((x / y) \ z) * u,w) = K((T(y \ x,x) \ z) * u,w). K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). K(x / ((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). T(a(x,y,z),u) != w | a(x,y,z) * a(x,y,K(z,u)) = w. K(((a(x,y,z) * u) * (T(a(x,y,z) \ 1,u) / w)) \ u,v5) = K(w,L(v5,u,a(x,y,z) * u)). K(x,L(y \ 1,z,u)) = K(x,(u * ((u \ z) * y)) \ z). K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). (x \ 1) * a(x,y,K(z,u)) != w | L(x \ 1,y,K(u,z)) = w. T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). T(x,(a(y,z,u) * w) / v5) = T(x,T(v5 \ (a(y,z,u) * w),w)). 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))). a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). a(x,y,z) \ z = z / a(x,y,z). x / a(y,z,x) = a(y,z,x) \ x. (a(x,y,z) \ z) * a(x,y,z) = z. (a(x,y,z) \ z) \ z = a(x,y,z). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ ((a(x,y,z) \ z) * u). 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(y,(T(T(z * u,w),z) \ v5) * v6) | x = K(y,(T(u * z,w) \ v5) * v6). K(x,((y * z) \ u) * w) = K(x,(T(z * y,y) \ u) * w). K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). K(x,(T(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,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 \ 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))). 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)). 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 / (z * u)) = T(x,y / (T(u,z) * z)). T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). x != T(y,z / (T(u,w) * w)) | x = T(y,z / T(u * w,u)). T(x,y / (z * u)) = T(x,y / T(u * z,u)). T(x,y / T(z * u,z)) = T(x,y / (u * z)). 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 \ 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 != 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,(T(z,u) \ w) \ v5). K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). K(x,(y / z) \ u) = K(x,(T(z,y) \ y) \ u). K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). 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 / (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,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = 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). x != K(y / ((K(z,u) * T(u,w)) / T(v5,T(T(u,z),w))),v6) | x = K(y / ((v5 \ T(u,w)) * K(z,u)),v6). K(x / ((K(y,z) * T(z,u)) / T(w,T(z,y))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). x != K(y / (z / T(u,T(w,v5))),v6) | x = K(y / (z / T(u,w)),v6). K(x / ((y \ T(z,u)) * K(w,z)),v5) = K(x / ((K(w,z) * T(z,u)) / T(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). 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 / (z \ T(T(u,w),v5)),v6) | x / K(y * ((z \ T(u,v5)) \ K(u,w)),v6) = 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) * 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,z) / x) = (x * K(y,z)) * (1 / x). (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). 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)). 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). 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 \ z) * T(y,u)) \ w,v5) | x = K((T(z,y) \ w) * K(u,y),v5). K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K((T(y,x) \ (z * T(x,y))) * K(y,x),z \ y). 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). 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))) != v5 | K(x,T(y,(z * w) \ u)) = v5. K(x,T(y,(z * u) \ w)) = K(x,T(y,z * (w \ u))). 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,z \ (u \ w))). T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,w * (z \ u))) * v5). K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,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))). 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)). 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. R(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = T(a(x,y,z),L(u,z,x * y)). 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))). R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). L(x / a(a(y,z,u),w,v5),v5,K(w,a(y,z,u))) != v6 | a(a(y,z,u),v5,w) \ x = v6. (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). x * y != L(y,z,K(u,w)) | x = a(w,z,K(y,u)). a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). (x / y) \ L(x,z,K(u,w)) != v5 | y * a(u,z,K(w,x)) = v5. 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)). a(x,y,K(z,L(u,w,K(v5,v6)))) * a(u,w,K(v5,v6)) = u \ L(L(u,w,K(v5,v6)),y,K(x,z)). a(x,y,K(z,u)) * a(u,w,K(v5,v6)) = L(u,y,K(z,x)) \ L(u,w,K(v5,v6)). L(x,y,K(z,u)) \ L(x,w,K(v5,v6)) = a(u,y,K(z,x)) * a(x,w,K(v5,v6)). x * y != a(z,u,w) * (v5 / a(z,u,w)) | x \ L(v5,u,K(z,w)) = y. (x / a(y,z,u)) \ L(x,z,K(y,u)) = T(a(y,z,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,K(z,u)) * a(u,w,K(v5,v6)) = u \ L(L(u,w,K(v5,v6)),y,K(x,z)). x \ L(L(x,y,K(z,u)),w,K(v5,v6)) = a(v5,w,K(v6,x)) * a(x,y,K(z,u)). x != (y \ z) * a(z,u,K(w,v5)) | x = y \ L(z,u,K(w,v5)). 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)). T(x,L(y \ R(y,z,u),w,y)) != v5 | v5 = T(x,y \ R(y,z,u)). T(x,L(y \ R(y,z,u),w,y)) != v5 | T(x,y \ R(y,z,u)) = v5. x * (a(y,z,u) \ 1) = T(a(y,z,u) \ x,a(y,z,u) \ 1). T(a(x,y,z) \ u,a(x,y,z) \ 1) = u * (a(x,y,z) \ 1). x * y != T(z * K(u \ z,z),u \ 1) | x \ R(z,u \ 1,z) = y. (a(x,y,z) * (u * K(a(x,y,z) \ u,u))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = 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) * z) \ (u * (x * (y * z))) = T(a(x,y,z) \ u,x * (y * z)). 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 * 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 * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. K(a(x,y,z) \ 1,a(x,y,z) \ u) * (u * (a(x,y,z) \ 1)) = a(x,y,z) \ u. T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) \ 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). 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). 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). x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),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. (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). (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 * T(a(y,z,u) \ 1,a(y,z,u) \ x) = a(y,z,u) \ x. x != T(y,z * T(u,w \ v5)) | x = T(y,z * T(u,w * v5)). T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y * T((a(u,w,v5) \ z) \ 1,a(u,w,v5) * 1)). T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) * 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. K(x \ (y * (1 / z)),u) != w | K(x \ (y * (z \ 1)),u) = w. x != K((y \ (z * (u \ w))) * K(u,u \ w),v5) | x = K(y \ (z * (w / u)),v5). 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(T(z,w),w)),u). K(x \ (y * T(T(z,u),u)),w) = K(x \ (y * z),w). K(x \ ((a(y,z,u) * T(w,v5)) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). x != R(a(y,z,K(u,w)),v5,v6) | x = (v5 * v6) \ ((v5 * a(y,z,K(u,w))) * v6). a(x,y,K(z,L(u,w,v5))) = (w * v5) \ ((w * a(x,y,K(z,u))) * v5). (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. 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 != L(y,z,K(u,w)) \ y | x = a(w,z,K(u,y)). 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)). K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). T(a(x,y,K(z,u)) * w,a(z,y,x) \ u) = (u / a(z,y,x)) \ (w * (a(z,y,x) \ u)). (x / a(y,z,u)) \ (w * (a(y,z,u) \ x)) = T(a(u,z,K(y,x)) * w,a(y,z,u) \ x). x * (a(y,z,K(u,x)) * (a(u,z,y) \ 1)) = T(x * (a(u,z,y) \ 1),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(x,y,z) * (u * a(z,y,K(x,u)))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. 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)))). (a(x,y,z) * L(u,y,K(z,x))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. (x * a(y,z,u)) \ R(x,a(y,z,u) \ 1,x) = a(y,z,u) \ 1. x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). 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)) * a(z,y,K(L(x,w,v5),u)) = a(u,w,a(v5,y,K(z,x))). 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,K(z,u)) * a(z,y,K(x,L(u,w,v5))) = a(u,w,a(v5,y,K(z,x))). 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 * (a(y,z,u) * x)) \ w,v5) = K((a(y,z,u) * x) \ (x \ w),v5). L(x,y,z * K(z \ u,z)) = L(L(x,y,z),y,K(u,z)). L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(z \ u,z)). L(x,(y * z) * u,K(w,L(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). 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 != a(y,z,K(u,w)) \ v5 | x = v5 * a(w,z,K(u,y)). a(x,y,K(z,L(u,w,v5))) = a(u,v5,a(w,y,K(x,z))) * a(u,y,K(x,z)). 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))). (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))). a(x,y,K(z,u)) * (w / v5) = w / (v5 * a(u,y,K(z,x))). x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). ((x * y) * (a(z,u,K(w,y)) * v5)) / (L(y,u,K(z,w)) * v5) = R(x,y,a(z,u,K(w,y)) * v5). 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,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) != v6 | a(w,z,K(u,y)) * (x / v5) = v6. 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))). (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). 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 * T(y,L(x,z,u)) = L(y * x,z,K(u,x)). (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). x != (K(y,z) * u) / (L(z * y,w,K(v5,v6)) \ u) | x = L(y * z,w,K(v5,v6)). x * L(y,z,K(u,x)) = L(x * y,z,K(u,x)). (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). x \ (y * (z / y)) = (x \ z) * K(y,y \ z). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). x \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ 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). K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). 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)). 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,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). x != K(y,((z * ((z * u) / z)) \ w) \ (u \ (T(z,u) \ w))) | x = a(T(z,u),u,K(y,u \ w)). 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)). a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). a(x,y,K(z * K(u,w),v5)) = a(v5,y,K(x,z)). a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). a(x,y,K(T(z,u) \ w,v5)) = a(x,y,K(z \ w,v5)). a(x * K(y,z),u,K(w,v5)) = a(w * v5,u,K(v5,x)). a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). a(x,y,K(T(z,u) \ w,v5)) = a(v5,y,K(x,z \ 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)) * 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)). x * a(y,z,K(x,u \ w)) = L(x,z,K(T(u,v5) \ w,y)). L(x,y,K(T(z,u) \ w,v5)) = x * a(v5,y,K(x,z \ w)). a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). x != a(y * z,u,K(z,w)) | x = a(w,u,K(y,z)). a(x * K(y,z),u,K(w,v5)) = a(x,u,K(w,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. a(x,y,K(z,u)) * z = L(z,y,K(u,x * K(w,v5))). L(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)) * x. L(x,y,K(z,u * K(w,v5))) != v6 | L(x,y,K(z,u)) = v6. L(x,(y * K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y * K(z,u))). L(x,(y * K(z,u)) * w,K(v5,y)) != v6 | L(x,w,K(v5,y)) = v6. 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 * 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 \ ((z \ u) * z)) * w) = K(x,T(w,y \ ((z \ u) * z)) * (y \ T(u,z))). K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). 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 != 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 != y * a(z,u,K(y,w)) | x = L(y,u,K(w,z)). L(x,y,K(T(z,u) \ w,v5)) = L(x,y,K(z \ w,v5)). x != L(y,z,K(u \ w,v5)) | x = L(y,z,K(v5,w \ u)). L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ T(z,v5))). L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). 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 \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ 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 \ (R(x,y,y \ 1) * 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. 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 != R(y,z,z \ 1) * (y \ u) | x = (u / y) * R(y,z,z \ 1). 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. x * y != R(z,u,w) * (z \ (R(z,u,w) \ v5)) | x \ (z \ v5) = y. a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. x != R(y,z,u) \ (y * w) | x = y * (R(y,z,u) \ w). 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. R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. T(x,a(y,z,z \ 1) \ z) = T(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 * (a(z,u,u \ 1) * w) | (R(z,u,u \ 1) * w) / y = x. (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) * (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. 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). a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. 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(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)). 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)). K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). a(x,T(y,x),z) = a(x,y,z). a(x,y,z) * (x * (z * y)) = (x * (y * K(z,y))) * z. x != (y * (z * K(u,z))) * u | x = (y * z) * T(u,z). a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) = (a(x,y,y \ 1) * z) * T(u,z). a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) != w | (a(x,y,y \ 1) * u) * z = w. 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). 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(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = 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)) = 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)). x * y != K(z,T(u,(w * v5) * v6)) | x \ K(z,T(u,w * (v5 * v6))) = y. K(x * y,x) \ K(x * y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). 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,x * y) * K(x * y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). x != K(y,L(T((z * (u * w)) / (z * u),(z * u) * w),z * u,w)) | x = K(y,L(a(z,u,w) \ w,a(z,u,w),z * (u * w))). K(x,L(T((y * (z * u)) / (y * z),y * (z * u)),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). 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)). K(x,L(L(L(y,z,u),u * z,L(y,z,u)),u * z,y)) = K(x,L(a(u,z,y) \ y,a(u,z,y),u * (z * y))). 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,(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) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,(z * u) * (w * v5)),v6,v7)). K(x,L(L(y,z,u),u * z,y)) = K(x,L(a(u,z,y) \ y,a(u,z,y),u * (z * y))). K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) = K(x,L(L(u,z,y),y * z,u)). K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) != w | K(x,L(u,z,y)) = w. K(x,L(y,z,u)) = K(x,a(u,z,y) \ y). K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). K(x,K(x * 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. 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). x != K(y,K(z,u * a(w,v5,v6))) | x = K(y,K(z,u)). K(x,K(y,z * (a(u,w,v5) * v6))) = K(x,K(y,z * v6)). K(x,K(y,z * u)) = K(x,K(y,w * (u * (w \ z)))). K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,w * u)). K(x,K(y,z * (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,K(y,((z * u) * w) * ((z * w) \ v5))) != v6 | K(x,K(y,R(u,z,w) * v5)) = v6. K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). 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)). (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K((w / z) \ u,u))) = K(y,L((z * u) / w,v5,u \ 1)). K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,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). a(x,y,z) = a(y \ (x * y),y,z). a(x \ (y * x),x,z) = a(y,x,z). x * K(x,L(y,z,u)) = T(x,a(u,z,y) \ y). T(x,a(y,z,u) \ u) = x * K(x,L(u,z,y)). (a(x,y,z) * K(u,L(z,y,x))) \ z = T(a(x,y,z) \ z,u). 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)). 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)). T(x,a(y,z,u) \ u) = T(x,L(u,z,y)). x * T(a(y,z,x) \ 1,L(x,z,y)) = a(y,z,x) \ x. L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). K(x \ (y * (z * (u / z))),w) = K(x \ (y * T(u,z)),w). K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). 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))). K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. (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. 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)). x != y * (R(y,z,z \ 1) \ u) | x \ (a(y,z,z \ 1) \ u) = 1. (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. x * y != (K(z,u) * w) * T(w \ 1,v5) | (K(z,u) * K(w \ 1,v5)) / y = x. (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). T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). (x * y) / (T(x,K(z,u) * w) * y) = K(K(a(v5,v6,v7) * z,u) * w,x). K(K(a(x,y,z) * u,w) * v5,v6) = (v6 * v7) / (T(v6,K(u,w) * v5) * v7). 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)). K(K(a(x,y,z) * u,w) * v5,v6) != v7 | K(K(u,w) * v5,v6) = v7. K(K(x,y) * (z \ ((a(u,w,v5) * x) * v6)),v7) = K(z \ (T(a(u,w,v5) * x,y) * v6),v7). K(K(x,y) * (((a(z,u,w) * x) * v5) \ v6),v7) = K((T(a(z,u,w) * x,y) * v5) \ v6,v7). x != K(K(y,z) * (u \ ((w * y) * v5)),v6) | x = K(u \ ((w * T(y,z)) * v5),v6). K(x \ (T(a(y,z,u) * w,v5) * v6),v7) = K(x \ ((a(y,z,u) * T(w,v5)) * v6),v7). K(x \ ((a(y,z,u) * T(w,v5)) * v6),v7) = K(x \ (T(a(y,z,u) * w,v5) * v6),v7). K(((a(x,y,z) * T(u,w)) * v5) \ v6,v7) = K((T(a(x,y,z) * u,w) * v5) \ v6,v7). x != K(y \ ((a(z,u,w) * T(v5,v6)) * v6),v7) | x = K(y \ ((a(z,u,w) * v6) * v5),v7). K(x \ (T(a(y,z,u) * w,v5) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). K(x \ ((a(y,z,u) * w) * v5),v6) != v7 | K(x \ (w * (a(y,z,u) * v5)),v6) = v7. x != K(((a(y,z,u) * T(w,v5)) * v5) \ v6,v7) | x = K(((a(y,z,u) * v5) * w) \ v6,v7). K((T(a(x,y,z) * u,w) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). x != K((T(y,z) * z) \ u,w) | x = K((z * y) \ u,w). K(((a(x,y,z) * u) * w) \ v5,v6) = K((u * (a(x,y,z) * w)) \ v5,v6). x != K(((a(y,z,u) * w) * (T(a(y,z,u) \ 1,w) / v5)) \ w,v6) | x = K(v5,L(v6,w,a(y,z,u) * w)). K((x * (a(y,z,u) * (T(a(y,z,u) \ 1,x) / w))) \ x,v5) = K(w,L(v5,x,a(y,z,u) * x)). K((a(x,y,z) * (T(a(x,y,z) \ 1,u) / w)) \ 1,v5) = K(w,L(v5,u,a(x,y,z) * u)). K((T(a(x,y,z) \ 1,u) / w) \ (a(x,y,z) \ 1),v5) = K(w,L(v5,u,a(x,y,z) * u)). K(x * K(y,a(z,u,w) \ 1),v5) = K(x,L(v5,y,a(z,u,w) * y)). K(x * a(y,z,K(u,w)),v5) = K(x,L(v5,w,a(y,z,u) * w)). K(x,L(y,z,a(u,w,v5) * z)) = K(x * a(u,w,K(v5,z)),y). x != K(y * a(z,u,K(w,v5)),v6) | x = K(y,v6). K(x,L(y,z,a(u,w,v5) * z)) = K(x,y). x != K(T(y,z) \ u,L(w,y,z)) | x = K((y * z) \ (z * u),w). K(T(x,a(y,z,u) * x) \ w,v5) = K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5). K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,a(y,z,u) * x) \ w,v5). K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,x * a(y,z,u)) \ w,v5). K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(L(x,z,K(u,y)) \ w,v5). x != K(L(y,z,K(u,w)) \ v5,v6) | x = K(y \ v5,v6). K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(x \ w,v5). K((x * (a(y,z,u) * x)) \ (x * (a(y,z,u) * w)),v5) = K(x \ w,v5). 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)). (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. 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)). T(x,y / L(z,u,K(w,v5))) = T(x,y / z). 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)). x != T(y,z) | x = T(y,a(u,w,K(v5,v6)) * z). T(x,y / L(z,u,K(w,v5))) = T(x,a(v6,v7,K(v8,v9)) * (y / z)). L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). 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 * y) / z = K(x,y) * ((y * x) / z). K(x,y) * ((y * x) / z) = (x * y) / z. 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 \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / 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 * a(y,a(z,u,w),v5)) * v6 = x * (a(y,a(z,u,w),v5) * v6). x != (a(y,a(z,u,w),v5) * (v6 * v7)) \ (v6 * (a(y,a(z,u,w),v5) * v7)) | x = a(a(y,a(z,u,w),v5),v6,v7). a(x,a(y,z,u),w) \ ((v5 * v6) \ (v5 * (a(x,a(y,z,u),w) * v6))) = a(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 * y) / (a(z,a(u,w,v5),v6) \ y) = x * a(z,a(u,w,v5),v6). x * y != z * (u * (u \ 1)) | z / y = x. x / (a(y,a(z,u,w),v5) \ 1) = x * a(y,a(z,u,w),v5). x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). 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(a(x,y,z) \ (u \ w),v5) = K((a(x,y,z) * u) \ w,v5). K((a(x,y,z) * u) \ w,v5) = K(a(x,y,z) \ (u \ w),v5). K((a(x,y,z) * u) \ w,v5) != v6 | K(a(x,y,z) \ (u \ w),v5) = v6. x != K(y \ ((z \ 1) \ 1),u) | x = K(y \ z,u). K((a(x,y,z) * (u \ 1)) \ 1,w) = K(a(x,y,z) \ u,w). K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) != v6 | K(w,L(v5,u,a(x,y,z))) = v6. K((x * (a(y,z,u) * x)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ (x \ w)),v5) = v6. K((a(x,y,z) * (u \ 1)) \ K(w \ 1,w),v5) = K(a(x,y,z) \ u,v5). K(x,L(L(y,z,a(u,w,v5) * z),v6,a(v7,v8,v9))) = K(a(v7,v8,v9) \ ((v6 / x) \ (a(v7,v8,v9) * v6)),y). K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) = K(w,L(L(v5,v6,a(v7,v8,v9) * v6),u,a(x,y,z))). K(a(x,y,z) \ (u \ (u \ (u * (a(x,y,z) * w)))),v5) = K(u \ w,v5). K(a(x,y,z) \ (u \ (a(x,y,z) * w)),v5) = K(u \ w,v5). x != K(a(y,z,u) \ ((w / v5) \ (a(y,z,u) * w)),v6) | x = K(v5,L(L(v6,v7,a(v8,v9,v10) * v7),w,a(y,z,u))). K((x / y) \ x,z) = K(y,L(L(z,u,a(w,v5,v6) * u),x,a(v7,v8,v9))). K(x,y) = K(x,L(L(y,z,a(u,w,v5) * z),v6,a(v7,v8,v9))). K(x,L(L(y,z,a(u,w,v5) * z),v6,a(v7,v8,v9))) = K(x,y). K(x,L(y,z,a(u,w,v5))) = K(x,y). x * K(y,L(z,u,a(w,v5,v6))) != K(y,z) | 1 = x. 1 = a(x,y,K(a(z,u,w),v5)). a(x,y,K(a(z,u,w),v5)) = 1. 1 = a(a(x,y,z),u,K(w,v5)). a(a(x,y,z),u,K(w,v5)) = 1. 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,z) != K(y,L(z,u,a(w,v5,v6))) | 1 = x. 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. K(x,y) * z != K(x,L(y,u,a(w,v5,v6))) | 1 = z. 1 = K(x,a(y,z,a(u,w,v5))). K(x,a(y,z,a(u,w,v5))) = 1. K(x,y) * (z * a(u,w,v5)) = (K(x,y) * z) * a(u,w,v5). (K(x,y) * z) * a(u,w,v5) = K(x,y) * (z * a(u,w,v5)). a(K(x,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. x != a(y,z,K(u,a(w,v5,v6))) | x = a(y,u,a(z,v5,K(v6,w))). 1 = a(x,y,a(z,u,K(w,v5))). a(x,y,a(z,u,K(w,v5))) = 1. x * a(y,z,K(u,a(w,v5,v6))) != v7 | v7 = x. L(x,y,K(z,a(u,w,v5))) = x. L(x,y,a(z,u,K(w,v5))) = x. x != a(a(y,z,K(u,w)),v5,v6) | x = a(a(y,z,u),K(v6,w),v5). 1 = a(a(x,y,z),K(u,w),v5). a(a(x,y,z),K(u,w),v5) = 1. L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). x * a(y,z,K(a(u,w,v5),v6)) != v7 | v7 = x. x != K(y,(z \ 1) \ u) | x = K(y,z * u). K(x,(a(y,z,u) \ (w \ 1)) \ v5) = K(x,w * (a(y,z,u) * v5)). T(x,a(a(y,z,u),w,v5)) = x. x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. L(a(x,y,z),u,K(w,v5)) = a(x,y,z). L(a(x,y,z),u,K(w,v5)) != v6 | v6 = a(x,y,z). L(a(x,y,z),u,K(w,v5)) != v6 | a(x,y,z) = v6. L(x,y,K(z,a(u,w,v5))) != v6 | v6 = x. 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. a(a(x,y,z),u,w) \ v5 = v5 / a(a(x,y,z),w,u). x / a(a(y,z,u),w,v5) = a(a(y,z,u),v5,w) \ x. 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. 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). (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). (a(x,y,K(z,u)) * w) / v5 = a(x,y,K(z,u)) * (w / v5). L(x,K(y,z),a(u,w,v5)) = x. x != L(a(y,z,K(u,w)),v5,v6) | x = a(y,z,K(u,L(w,v5,v6))). 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 != L(a(z,u,K(w,v5)),v6,v7) | x \ a(z,u,K(w,v5)) = y. x \ a(y,z,K(u,w)) = (x \ 1) * a(y,z,K(u,w)). (x \ 1) * a(y,z,K(u,w)) = x \ a(y,z,K(u,w)). (x * (y * a(z,u,K(w,v5)))) * L(v6,a(z,u,K(w,v5)),x * y) = (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6). (a(x,y,K(z,u)) * w) \ v5 = w \ (a(u,y,K(z,x)) * v5). (a(x,y,K(z,u)) * (w * v5)) \ (w * (a(x,y,K(z,u)) * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). (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(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)). a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,z)). a(x,y,K(L(z,u,w),v5)) = a(x,y,K(z,v5)). L(x \ 1,y,K(z,u)) = x \ a(x,y,K(u,z)). (x \ a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * ((x \ 1) * K(v5,v6)). a(x,y,K(z,u)) * ((w \ 1) * K(v5,v6)) = (w \ a(x,y,K(z,u))) * K(v5,v6). T(x,L((y / a(z,u,K(w,v5))) / (v6 \ 1),v6 \ 1,a(z,u,K(w,v5)))) = T(x,y / (v6 \ a(z,u,K(w,v5)))). (x * (y * a(z,u,K(w,v5)))) * v6 = (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6). (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6) = (x * (y * a(z,u,K(w,v5)))) * v6. (x * y) * (a(z,u,K(w,v5)) * v6) = (x * (y * a(z,u,K(w,v5)))) * v6. (x * (y * a(z,u,K(w,v5)))) * v6 = (x * y) * (a(z,u,K(w,v5)) * v6). (x * L(y,z,K(u,w))) * v5 = (x * y) * (a(u,z,K(w,y)) * v5). (x * y) * (a(z,u,K(w,y)) * v5) = (x * L(y,u,K(z,w))) * v5. (x * (a(y,z,K(u,w)) * v5)) * v6 = (x * v5) * (a(y,z,K(u,w)) * v6). (x * y) * a(z,u,K(w,v5)) = x * (a(z,u,K(w,v5)) * y). x * y != z * (a(u,w,K(v5,v6)) * y) | x = a(u,w,K(v5,v6)) * z. 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))) * v5) / (L(y,z,K(u,w)) * v5) = R(x,y,a(u,z,K(w,y)) * v5). K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. (K(x,y) * z) \ (K(x,y) * (z * (a(x,z,K(u,y)) * u))) = u. x \ (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x \ v5). a(x,y,K(z,u)) * (w * (v5 * z)) = w * (v5 * L(z,y,K(u,x))). x \ ((a(y,z,K(u,w)) * v5) * L(v6,v5,a(y,z,K(u,w)))) = a(y,z,K(u,w)) * (x \ (v5 * v6)). a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). L(a(x,y,K(z,u)) * z,y,K(x,u)) = z. L(L(x,y,K(z,u)),y,K(u,z)) = x. T(L(x,y,K(z,u)),a(z,y,u)) = x. (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. L(T(x,L(y,z,u)),z,K(y,u)) = T(x,y). a(x,y,z) * u = L(u,y,K(x,z)) * a(x,y,z). L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). 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). K(x,L((y / z) / a(u,w,v5),y,z)) = K(x,y / (L(z,w,K(u,v5)) * a(u,w,v5))). 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)). x != L(y,z,K(u,a(w,v5,v6))) | x = y. T(x,y) = T(x,L(y,z,a(u,w,v5))). T(x,L(y,z,a(u,w,v5))) = T(x,y). L(T(x,L((y * z) \ y,u,w)),z,K(L(z \ 1,u,w),y)) = T(x,L(z \ 1,u,w)). L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. 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)). K(x,L(a(y,z,u) \ (w / v5),w,v5)) = K(x,w / (L(v5,z,K(y,u)) * a(y,z,u))). 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)). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). a(x,y,K((z * u) \ (z * w),v5)) = a(v5,y,K(x,u \ w)). a(x,y,K(z,L(u,w,v5))) != v6 | a(x,y,K(z,u)) = v6. 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). x != a(y,z,K(L(u,w \ z,w),v5)) | x = a(y,w * ((w \ z) * u),K(v5,(w * ((w \ 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)). L(L(x,y,z),u,K(w,v5)) * T(v6,a(v5,u,K(L(x,y,z),w))) = L(x,y,z) * (v6 * a(v5,u,K(x,w))). a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). L(L(x,y,z),u,K(w,v5)) * v6 = L(x,y,z) * (v6 * a(v5,u,K(x,w))). L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. L(a(x,y,z) * K(u,a(x,y,z)),w,K(v5,v6)) * u = u * a(x,y,z). 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(a(x,y,z),u) = T(a(x,y,z),L(u,w,v5)). T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). L(a(x,y,z) * a(u,y,K(z,x)),w,K(v5,v6)) * u = u * a(x,y,z). K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = K(v6,a(x,y,z)) * K(a(x,y,z),a(u,w,v5) * v6). x \ ((a(y,z,K(u,w)) * v5) * v6) = a(y,z,K(u,w)) * (x \ (v5 * v6)). (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). (a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * (a(x,y,K(z,u)) * 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)) * v6) | x = a(z,u,K(w,v5)) * (y \ v6). (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). L(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * (x \ w). a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. L(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * (x \ w). a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ 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)))). (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. a(x,y,K(z,u)) * (L(u,w,v5) \ v6) = L(L(u,w,v5),y,K(z,x)) \ v6. L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. L(x,y,K(z,u)) \ 1 = L(x \ 1,y,K(z,u)). T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). a(x,y,K(z,u)) * w != v5 \ L(u,y,K(x,z)) | w = v5 \ u. L(x,y,z) \ L(x,u,K(w,v5)) = L(L(x,y,z),u,K(v5,w)) \ x. L(L(x,y,z),u,K(w,v5)) \ x = L(x,y,z) \ L(x,u,K(v5,w)). x \ (R(x,y,z) * a(x,u,K(w,v5))) = R(x,y,z) * L(x \ 1,u,K(v5,w)). L(a(x,y,z) \ 1,u,K(w,v5)) = a(x,y,z) \ 1. T(x,L((a(y,z,K(u,w)) * v5) / (v6 \ 1),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). 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(a(x,y,z) \ 1,u) = T(a(x,y,z) \ 1,L(u,w,v5)). T(a(x,y,z) \ 1,L(u,w,v5)) = T(a(x,y,z) \ 1,u). T(a(x,y,z) \ 1,u) = w \ (w * T(a(x,y,z) \ 1,L(u,v5,v6))). x \ (x * T(a(y,z,u) \ 1,L(w,v5,v6))) = T(a(y,z,u) \ 1,w). x \ (a(y,z,x) \ x) = T(a(y,z,x) \ 1,x). T(a(x,y,z) \ 1,z) = z \ (a(x,y,z) \ z). x != T(a(y,z,u) \ 1,u) | x = a(y,z,u) \ 1. x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. x * (a(y,z,x) \ 1) = a(y,z,x) \ x. a(x,y,z) * K(y,T(x,z)) = (x * (y * z)) \ ((y * x) * z). (x * (y * z)) \ ((y * x) * z) = a(x,y,z) * K(y,T(x,z)). x != (y * (a(z,u,w) * v5)) \ ((a(z,u,w) * y) * v5) | x = K(a(z,u,w) * v5,y) * K(y,v5). a(x,a(y,z,u),w) * K(a(y,z,u),T(x,w)) = K(a(y,z,u) * w,x) * K(x,w). a(x,a(y,z,u),w) * a(y,z,K(u,T(x,w))) = K(a(y,z,u) * w,x) * K(x,w). a(x,a(y,z,u),w) * a(y,z,K(u,x)) = K(a(y,z,u) * w,x) * K(x,w). K(a(x,y,z) * u,w) * K(w,u) = a(w,a(x,y,z),u) * a(x,y,K(z,w)). K(x,K(y,z) * (u * (a(z,a(w,v5,v6),y) * a(w,v5,K(v6,z))))) = K(x,u * K(a(w,v5,v6) * y,z)). x != (a(y,z,K(u,w)) * (v5 * v6)) \ ((a(y,z,K(u,w)) * v5) * (v6 * v7)) | x = L(v7,L(v6,v5,a(y,z,K(u,w))),v5 * a(y,z,K(u,w))). 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,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = L(x,y,z). L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). L(x,y,(z * u) * K(w,v5)) = L(x,y,z * (u * K(w,v5))). L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). L(x,y,K(z,u)) = L(x,y,K(L(z,w,v5),u)). L(x,y,K(L(z,u,w),v5)) = L(x,y,K(z,v5)). 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)). x != L(y,(z * u) * w,K(v5,L(z,u,w))) | x = L(y,u * w,K(v5,R(z,u,w))). L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,R(y,z,u))). L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. L(x,y,z * K(u,L(w,v5,v6))) = L(x,y,z * K(u,w)). 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,z) * L(u,w,K(v5,x)) = L(L(x,y,z) * u,w,K(v5,x)). L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,L(y,z,u))). x != L(y,z,K(u,L(w,v5,v6))) | x = L(y,z,K(u,w)). L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,y)). L(x,y,K(L(z,u,w),v5)) != v6 | L(x,y,K(z,v5)) = v6. L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. 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 * u) = L(L(x,y,u * z),z * y,K(z,u)). L(L(x,y,z * u),u * y,K(u,z)) = L(x,y,u * z). L(x,K(y,z) * u,K(w,v5)) != v6 | L(x,u,K(w,v5)) = v6. x != L(y,K(z,u) * w,v5) | x = L(y,w * K(z,u),v5). L(x,y,K(z,u)) = L(x,y * K(w,v5),K(z,u)). L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). L(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)). L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). x \ L(L(x,y,K(z,u)),w,K(v5,v6)) = a(v5,K(v7,v8) * w,K(v6,x)) * a(x,y,K(z,u)). a(x,K(y,z) * u,K(w,v5)) * a(v5,v6,K(v7,v8)) = v5 \ L(L(v5,v6,K(v7,v8)),u,K(x,w)). L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). L(L(x,y,a(z,a(u,w,v5),v6) * a(u,w,K(v5,z))),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). L(L(x,y,a(z,a(u,w,v5),v6)),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) = L(x,y,a(z,a(w,v5,v6),u)). T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). T(x,L(y,T(z,u) \ w,v5)) = L(T(x,y),z \ w,K(v5,y)). x != L(L(y,z,K(u,w)),z * K(u,w),K(v5,v6)) | x = L(y,L(z,K(v5,v6),K(u,T(w,z))),K(u,T(w,z)) * K(v5,v6)). L(L(x,y,K(z,u)),y,K(w,v5)) = L(x,L(y,K(w,v5),K(z,T(u,y))),K(z,T(u,y)) * K(w,v5)). L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y,K(z,u)). L(L(x,y,K(z,u)),y,K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). x * a(y,z,K(u,w)) != y \ L(L(y,z,K(u,w)),v5,K(v6,v7)) | x = a(v6,v5,K(v7,y)). a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). x != L(L(y,z,K(u,w)),z,K(v5,v6)) | x = L(y,L(z,K(v5,v6),K(u,T(w,z))),K(u,T(w,z)) * K(v5,v6)). R(x,y,K(z,u) * K(w,v5)) = L(x,L(y,K(w,v5),K(z,T(u,y))),K(z,T(u,y)) * K(w,v5)). L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = R(x,y,K(w,v5) * K(z,u)). L(x,y,K(z,T(u,y)) * K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). L(x,y,K(z,u) * K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). R(x,y,K(z,u) * K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). x != R(y,z,K(u,w) * K(v5,v6)) | x = L(L(y,z,K(u,w)),z,K(v5,v6)). L(x,y,K(z,u) * K(w,v5)) = L(L(x,y,K(z,u)),y,K(w,v5)). L(L(x,y,K(z,u)),y,K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). L(x,y,K(z,u) * K(w,v5)) \ x = L(x,y,K(z,u)) \ L(x,y,K(v5,w)). L(x,y,K(z,u)) \ L(x,y,K(w,v5)) = L(x,y,K(z,u) * K(v5,w)) \ x. x != L(y,z,K(u,w)) \ L(y,v5,K(v6,v7)) | x = a(w,z,K(u,y)) * a(y,v5,K(v6,v7)). L(x,y,K(z,u) * K(w,v5)) \ x = a(u,y,K(z,x)) * a(x,y,K(v5,w)). a(x,y,K(z,u)) * a(u,y,K(w,v5)) = L(u,y,K(z,x) * K(v5,w)) \ u. x != a(y,z,K(u,w)) | x = a(y,z,K(u,L(w,v5,v6))). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,v6,v7))). x != a(L(y,z,u),w,K(v5,v6)) | x = a(L(y,z,u) * v5,w,K(v6,y)). a(x,y,K(z,u)) = a(L(x,w,v5) * z,y,K(u,x)). a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). x != a(L(y,z,u),w,K(v5,v6)) | x = a(R(y,z,u),w,K(v5,v6)). a(x,y,K(z,u)) = a(R(x,w,v5),y,K(z,u)). a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,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)). K(x,L(y,z,L(u,w,v5))) != v6 | K(x,L(y,z,u)) = v6. a(x,y,K(z,L(u,w,v5))) = a(u,y,K(z,L(x \ 1,v6,v7))). a(x,y,K(z,L(u \ 1,w,v5))) = a(u,y,K(z,L(x,v6,v7))). R(x,y,z) * a(x,u,K(w,v5)) = L(R(x,y,z),u,K(w,v5)). L(x,y,a(z,u,K(w,v5))) != v6 | v6 = x. x != y | x = T(y,1). x * a(y,a(z,u,w),v5) = T(x / (a(y,a(z,u,w),v5) \ 1),1). T(x / (a(y,a(z,u,w),v5) \ 1),1) = x * a(y,a(z,u,w),v5). T(x / (x * a(y,a(z,u,w),v5)),x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. x != T(y,z) | x = T(y,a(u,a(w,v5,v6),v7) \ z). x * a(y,a(z,u,w),v5) = T(x / (a(y,a(z,u,w),v5) \ 1),a(v6,a(v7,v8,v9),v10) \ 1). T(x / (a(y,a(z,u,w),v5) \ 1),a(v6,a(v7,v8,v9),v10) \ 1) = x * a(y,a(z,u,w),v5). L(T(a(x,y,z),u \ 1),w,K(v5,v6)) * u = u * a(x,y,z). T(a(x,y,z),u \ 1) * u = u * a(x,y,z). (x / y) * L(y,z,u) = L(L(y,z,u) * (y \ x),z,K(u,y)). L(L(x,y,z) * (x \ u),y,K(z,x)) = (u / x) * L(x,y,z). K(x,(y / z) * L(z,u,w)) = K(x,L(z,u,w) * (z \ y)). K(x,L(y,z,u) * (y \ w)) = K(x,(w / y) * L(y,z,u)). T((a(x,a(y,z,u),w) \ 1) * v5,a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ v5. (a(x,a(y,z,u),w) \ 1) \ v5 = v5 * a(x,a(y,z,u),w). x / (x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. x != T(y,a(z,a(u,w,v5),v6)) | x = y. a(x,a(y,z,u),w) \ v5 = (a(x,a(y,z,u),w) \ 1) * v5. (a(x,a(y,z,u),w) \ 1) * v5 = a(x,a(y,z,u),w) \ v5. T(a(x,a(y,z,u),w) \ 1,v5 * a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ 1. x != T(y,z * a(u,a(w,v5,v6),v7)) | x = T(y,z). a(x,a(y,z,u),w) \ 1 = T(a(x,a(y,z,u),w) \ 1,v5). T(a(x,a(y,z,u),w) \ 1,v5) = a(x,a(y,z,u),w) \ 1. x != T(a(y,z,u) \ w,y * (z * u)) | x = ((y * z) * u) \ (w * (y * (z * u))). a(x,a(y,z,u),w) \ 1 = ((x * a(y,z,u)) * w) \ (1 * (x * (a(y,z,u) * w))). ((x * a(y,z,u)) * w) \ (1 * (x * (a(y,z,u) * w))) = a(x,a(y,z,u),w) \ 1. x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. ((x * a(y,z,u)) * w) \ (x * (a(y,z,u) * w)) = a(x,a(y,z,u),w) \ 1. x != ((a(y,z,u) * a(w,v5,v6)) * v7) \ (a(y,z,u) * (a(w,v5,v6) * v7)) | x = K(v7,a(y,z,u)) * K(a(y,z,u),a(w,v5,v6) * v7). a(a(x,y,z),a(u,w,v5),v6) \ 1 = K(v6,a(x,y,z)) * K(a(x,y,z),a(u,w,v5) * v6). K(x,a(y,z,u)) * K(a(y,z,u),a(w,v5,v6) * x) = a(a(y,z,u),a(w,v5,v6),x) \ 1. a(x,y,K(z,u)) * K(a(u,y,z),a(w,v5,v6) * x) = a(a(u,y,z),a(w,v5,v6),x) \ 1. a(x,y,K(z,u)) * a(u,y,K(z,a(w,v5,v6) * x)) = a(a(u,y,z),a(w,v5,v6),x) \ 1. x != a(y,z,K(u,w)) * a(w,z,K(v5,v6)) | x = L(w,z,K(u,y) * K(v6,v5)) \ w. a(a(x,y,z),a(u,w,v5),v6) \ 1 = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)) \ x. L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) \ x = a(a(x,y,z),a(w,v5,v6),u) \ 1. L(x,y,a(z,a(u,w,v5),v6)) \ x = a(a(x,y,z),a(u,w,v5),v6) \ 1. a(x,a(y,z,u),w) \ L(T(a(x,a(y,z,u),w),v5),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). a(x,a(y,z,u),w) \ L(a(x,a(y,z,u),w),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). x != a(y,(z * u) * K(z,w),v5) | x = a(y,T(z,w) * u,v5). a(x,y * z,K(u,w)) = a(u,T(y,v5) * z,K(w,x)). a(x,T(y,z) * u,K(w,v5)) = a(v5,y * u,K(x,w)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z * K(w,v5),u)). K(x,L(y,z * K(u,w),v5)) = K(x,y) * a(y,z,K(x,v5)). (x * (y * L(z,u,K(w,v5)))) \ ((x * y) * L(z,u,K(w,v5))) = L(a(x,y,z),x * (y * z),a(v5,u,K(z,w))). L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = (x * (y * L(z,w,K(v5,u)))) \ ((x * y) * L(z,w,K(v5,u))). L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = a(x,y,L(z,w,K(v5,u))). a(x,y,L(z,u,K(w,v5))) = a(x,y,z). x != a(T(y,z),K(u,y) * w,L(v5,w,K(u,y))) | x = (K(u,y) * (T(y,z) * (w * v5))) \ ((T(y,z) * (K(u,y) * w)) * L(v5,w,K(u,y))). a(T(x,y),K(z,x) * u,w) = (K(z,x) * (T(x,y) * (u * w))) \ ((T(x,y) * (K(z,x) * u)) * L(w,u,K(z,x))). (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,w). x != a(T(y,z),K(z,y) * u,L(w,u,K(z,y))) | x = (y * (u * w)) \ ((y * u) * L(w,u,K(z,y))). a(T(x,y),K(y,x) * z,u) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). x != L(K(y,z) * (a(u,w,v5) \ v6),K(z,y),a(u,w,v5)) | x = (K(z,y) * a(u,w,v5)) \ v6. K(x,y) * (a(z,u,w) \ v5) = (K(y,x) * a(z,u,w)) \ v5. (K(x,y) * a(z,u,w)) \ v5 = K(y,x) * (a(z,u,w) \ v5). x != L(K(y,z) * (u \ w),K(z,y),u) | x = (u * K(z,y)) \ w. K(x,y) * (a(z,u,w) \ v5) = (a(z,u,w) * K(y,x)) \ v5. (a(x,y,z) * K(u,w)) \ v5 = K(w,u) * (a(x,y,z) \ v5). x != (K(y,z) * u) \ z | x = u \ T(z,y). K(x,y) * (a(z,u,w) \ x) = a(z,u,w) \ T(x,y). x != (a(y,z,u) * K(w,L(u,z,y))) \ u | x = T(a(y,z,u) \ u,w). K(L(x,y,z),u) * (a(z,y,x) \ x) = T(a(z,y,x) \ x,u). T(a(x,y,z) \ z,u) = K(z,L(u,y,x)) * (a(x,y,z) \ z). K(x,L(y,z,u)) * (a(u,z,x) \ x) = T(a(u,z,x) \ x,y). x != K(y,z) * (a(u,w,v5) \ y) | x = a(u,w,v5) \ T(y,z). T(a(x,y,z) \ z,u) = a(x,y,z) \ T(z,L(u,y,x)). a(x,y,z) \ T(z,L(u,y,x)) = T(a(x,y,z) \ z,u). x != a(y,z,K(u,L(w \ 1,v5,v6))) | x = a(w,z,K(u,L(y,v7,v8))). a(x,y,K(z,u)) = a(z,w * ((w \ y) * z),K(u,L(x,v5,v6))). a(x,y * ((y \ z) * x),K(u,L(w,v5,v6))) = a(w,z,K(x,u)). T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (x * (a(y,a(z,u,w),v5) \ 1)) * v6. R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (a(y,a(z,u,w),v5) \ x) * v6. ((a(x,a(y,z,u),w) \ v5) * v6) / (a(x,a(y,z,u),w) \ v6) = R(v5,a(x,a(y,z,u),w) \ 1,v6). x != (y * z) / (a(u,a(w,v5,v6),v7) \ z) | x = y * a(u,a(w,v5,v6),v7). R(x,a(y,a(z,u,w),v5) \ 1,v6) = (a(y,a(z,u,w),v5) \ x) * a(y,a(z,u,w),v5). x != (a(y,a(z,u,w),v5) \ v6) * a(y,a(z,u,w),v5) | x = v6. R(x,a(y,a(z,u,w),v5) \ 1,v6) = x. x * (a(y,a(z,u,w),v5) \ v6) = (a(y,a(z,u,w),v5) \ x) * v6. (a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6). R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ R(a(y,a(z,u,w),v5),v6,v7)). R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ L(a(y,a(z,u,w),v5),v7,v6)). R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). R(x / (a(y,a(z,u,w),v5) \ x),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). R(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v5,v6). L(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v6,v5). ((T(x,y) * (K(z,x) * u)) * w) / a(x,x * u,K(z,w)) = K(z,x) * ((T(x,y) * u) * w). K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. ((T(x,y) * (K(z,x) * u)) * w) / a(w,u,K(x,z)) = K(z,x) * ((T(x,y) * u) * w). a(x,y,K(z,u)) * ((T(z,w) * (K(x,z) * y)) * u) = K(x,z) * ((T(z,w) * y) * u). x != a(y,z,K(u,w)) * (v5 * w) | x = v5 * L(w,z,K(y,u)). K(x,y) * ((T(y,z) * u) * w) = (T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y)). (T(x,y) * (K(z,x) * u)) * L(w,u,K(z,x)) = K(z,x) * ((T(x,y) * u) * w). (K(x,y) * (T(y,z) * (u * w))) \ (K(x,y) * ((T(y,z) * u) * w)) = a(T(y,z),K(x,y) * u,w). L(a(T(x,y),z,u),T(x,y) * (z * u),K(w,x)) = a(T(x,y),K(w,x) * z,u). a(T(x,y),z,u) = a(T(x,y),K(w,x) * z,u). a(T(x,y),K(z,x) * u,w) = a(T(x,y),u,w). x != a(T(y,z),K(z,y) * u,w) | x = (y * (u * w)) \ ((y * u) * L(w,u,K(z,y))). a(T(x,y),z,u) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = a(T(x,u),y,z). x != (y * (z * u)) \ ((y * z) * L(u,z,K(w,y))) | x = T(a(y,z,u),L(w,u,y * z)). a(T(x,y),z,u) = T(a(x,z,u),L(y,u,x * z)). T(a(x,y,z),L(u,z,x * y)) = a(T(x,u),y,z). a(x,y,y \ 1) = a(T(x,z),y,y \ 1). a(T(x,y),z,z \ 1) = a(x,z,z \ 1). x != T(a(y,z,u),L(w,v5,v6)) | x = T(a(y,z,u),w). a(T(x,y),z,u) = T(a(x,z,u),y). T(a(x,y,z),u) = a(T(x,u),y,z). a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. 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) * a(x,y,K(z,u)) = a(T(x,u),y,z). x != T(a(y,z,u),a(y,z,u) \ w) | x = (w / a(y,z,u)) \ L(w,z,K(y,u)). a(T(x,a(x,y,z) \ u),y,z) = (u / a(x,y,z)) \ L(u,y,K(x,z)). (x / a(y,z,u)) \ L(x,z,K(y,u)) = a(T(y,a(y,z,u) \ x),z,u). x * a(T(y,x),z,u) = a(y,z,u) * x. a(T(x,y \ 1),z,u) * y = y * a(x,z,u). a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. a(T(x,a(y,z,u)),w,v5) = a(x,w,v5). a(T(x,y),z,u) \ w = a(u,z,K(x,y)) * (a(x,z,u) \ w). a(x,y,K(z,u)) * (a(z,y,x) \ w) = a(T(z,u),y,x) \ w. a(x,y,z) * a(x,y,K(z,u)) = a(T(x,a(x,y,z) \ u),y,z). x * y != y * a(T(z,y),u,w) | x = a(z,u,w). a(T(T(x,y),y \ 1),z,u) = a(x,z,u). (x * a(y,z,u)) \ (w * x) = T(a(T(y,x \ 1),z,u) \ w,x). T(a(T(x,y \ 1),z,u) \ w,y) = (y * a(x,z,u)) \ (w * y). x * (a(T(y,x),z,u) \ 1) = T(x * (a(y,z,u) \ 1),x). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,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))). 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 != L(L(y,z,u) * (y \ w),z,K(u,y)) | x = (w / 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 * a(y,z,K(z \ x,u)) = z * L(z \ x,x,K(u,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 * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). 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(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). 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 * 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)). x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). x != a(y,z,u) * a(y,z,K(u,w)) | x = a(T(y,w),z,u). a(T(x,a(x,y,z) \ u),y,z) = a(T(x,u),y,z). x != K(y,L(z,u,u \ 1)) | x = K(y,z). K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). x != K(y,L(z,u \ 1,u)) | x = K(y,z). K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). x != K(y,L(L(z,u,w) * (z \ v5),z \ v5,L((z \ v5) \ v5,u,w))) | x = K(y,(z \ v5) * L((z \ v5) \ v5,u,w)). K(x,L(L(y,z,u) * (y \ w),y \ w,(y \ w) \ w)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). K(x,L(y,z,(u * w) \ v5)) != v6 | K(x,L(y,z,w \ (u \ v5))) = v6. K(x,L(y,z \ u,u \ z)) = K(x,y). (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). K(x,L(L(y,z,u) * (y \ w),y \ w,y)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). 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) \ 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). 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)). 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). 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)). T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). x != (a(y,z,K(u,w)) * v5) \ v6 | x = a(w,z,K(u,y)) * (v5 \ v6). L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = a(v6,w,K(v5,u)) * ((z * y) \ (z * (y * (a(u,w,K(v5,v6)) * x)))). a(x,y,K(z,u)) * ((w * v5) \ (w * (v5 * (a(u,y,K(z,x)) * v6)))) = L(v6,L(v5,w,a(u,y,K(z,x))),a(u,y,K(z,x)) * w). a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * w,v5,v6) = L(w,L(v5,v6,a(u,y,K(z,x))),a(u,y,K(z,x)) * v6). L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = a(v6,w,K(v5,u)) * L(a(u,w,K(v5,v6)) * x,y,z). x != L(y,L(z,u,a(w,v5,K(v6,v7))),a(w,v5,K(v6,v7)) * u) | x = L(y,z,u). a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * w,v5,v6) = L(w,v5,v6). a(x,y,K(z,u)) * L(w,v5,v6) = L(a(x,y,K(z,u)) * w,v5,v6). x != a(y,z,K(u,w)) * L(y,z,u) | x = K(y,w) \ T(L(y,z,u),w). L(a(x,y,K(z,u)) * x,y,z) = K(x,u) \ T(L(x,y,z),u). L(L(x,y,K(z,u)),y,z) = K(x,u) \ T(L(x,y,z),u). L(L(x,y,K(z,u)),y,z) = K(x,u) \ L(T(x,u),y,z). L(L(x,y,K(z,u)),y,z) = K(u,x) * L(T(x,u),y,z). 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)). L(x,y,T(z,u)) \ x = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. 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)). 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)). 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)). x != K(y,L(z \ (u / w),u,w)) | x = K(y,(w * z) \ T(u,w)). K(x,y / (L(z,u,K(w,v5)) * a(w,u,v5))) = K(x,(z * a(w,u,v5)) \ T(y,z)). 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,(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)). K(x,(y * (L(y,z,u) \ 1)) \ w) = K(x,(y \ w) * L((y \ w) \ w,z,u)). K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(y * (L(y,u,w) \ 1)) \ z). K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(L(y,u,w) \ y) \ z). K(x,L(y,z,u) * (y \ w)) = K(x,(L(y,z,u) \ y) \ w). K(x,(L(y,z,u) \ y) \ w) = K(x,L(y,z,u) * (y \ w)). K(x,a(y \ 1,y,z) \ u) = K(x,L(z,y,y \ 1) * (z \ u)). K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). x != K(y,L(z,u,w) * (z \ v5)) | x = K(y,(v5 / z) * L(z,u,w)). 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,L(z,u \ w,u \ 1)) | x = K(y,L(z,w,u \ 1)). K(x \ (y \ z),u) = K((y * x) \ z,L(u,z,y \ 1)). K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). a(x,y \ z,K(y,u)) = K(u,((y \ z) * x) \ (y \ (z * x))). 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)). 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. 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)). 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)))). x != K(y,z * ((K(u,w) * v5) / v6)) | x = K(y,z * ((v5 * K(u,w)) / v6)). K(x,y * (K(z,u) * (w / v5))) = K(x,y * ((w * K(z,u)) / v5)). K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). x \ L(R(x,y,z),u,K(w,v5)) = R(x,y,z) * L(x \ 1,u,K(v5,w)). R(x,y,z) * L(x \ 1,u,K(w,v5)) = x \ L(R(x,y,z),u,K(v5,w)). 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). a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). x != a(R(y,y \ z,u),w,w \ 1) | x = R(a(y,w,w \ 1),z,u). a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). 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))). 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,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)). 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)))). K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(u,w))) = v7. x != K(y,z * ((u * K(w,v5)) / v6)) | x = K(y,z * (K(w,v5) * (u / v6))). K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,T(u,v5)) * (z / v5))). K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). 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(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 * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). 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 * ((u \ w) * u)) \ v5)) != v6 | K(x,y * (((z * w) \ v5) * K(w,u))) = v6. 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)). 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)). L(T(x,L((y * z) \ y,u,w)),z,K(z \ 1,y)) = T(x,L(z \ 1,u,w)). 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 != (((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. T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. L(x,y,K(z,L(u,w,v5)) * v6) = L(x,y,v6 * K(z,u)). x != L(y,z,u * K(w \ 1,L(v5,v6,v7))) | x = L(y,z,K(L(w,v6,v7) \ v5,v5) * u). L(x,y,z * K(u \ 1,w)) = L(x,y,K(L(u,v5,v6) \ w,w) * z). L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,v5)). 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. (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). T(x,T(y,(z \ u) * w)) = T(x,T(y,z * (w * u))). (((x * y) * z) * a(u,w,K(v5,v6))) / ((y * z) * a(u,w,K(v5,v6))) = R(x,y,z). ((x * y) * (a(z,u,K(w,v5)) * v6)) / ((y * v6) * a(z,u,K(w,v5))) = R(x,y,v6). (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 != (K(y,z) * K(u,w)) / v5 | x = K(y,z) * (K(u,w) / v5). R(K(x,y) * z,u,u \ 1) = K(x,y) * (K(z \ 1,w) / (a(K(x,y) * z,u,u \ 1) \ T(z \ 1,w))). 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). a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. 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))). x != K((y \ T(z,u)) \ z,w) | x = K(K(u,z) * y,T(w,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)). T(x,(1 / y) * (K(z,u) * (z \ u))) = T(x,(y \ (z \ u)) * 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. L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. x != a(y,z,z \ 1) \ u | x = y * (R(y,z,z \ 1) \ u). (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). 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))). K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). x != (a(y,z,u) \ 1) \ 1 | x = a(y,z,u). (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). 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. (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). T(x,T(y,(z / u) \ w)) = T(x,T(y,u * (w * z))). K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). 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). 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). L(x,y,K(L(z,u,w) \ v5,L(z,u,w)) * v6) = L(x,y,(v6 * a(L(z,u,w) \ v5,L(z,u,w),L(z,u,w) \ v5)) * K(z \ 1,v5)). L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,K(L(u,w,v5) \ v6,L(u,w,v5)) * z). x != L(y,z,K(u,L(w,v5,v6)) * v7) | x = L(y,z,v7 * K(u,w)). L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,z * K(L(u,w,v5) \ v6,u)). x != L(y,z,(u * w) * K(v5,v6)) | x = L(y,z,u * (w * K(v5,v6))). L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * (a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6) * K(u \ 1,v6))). L(x,y,z * (a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6) * K(u \ 1,v6))) = L(x,y,z * K(L(u,w,v5) \ v6,u)). L(x,y,z * K(u \ 1,w)) = L(x,y,z * K(L(u,v5,v6) \ w,u)). L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(u \ 1,v6)). x != L(y,z,u * K(L(w,v5,v6) \ v7,w)) | x = L(y,z,u * K(v7,w)). L(x,y,z * K(u \ 1,w)) = L(x,y,z * K(w,u)). L(x,y,z * T(1 / u,T(w,u))) = L(x,y,(z * (1 / u)) * K(w,u)). L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,T(w,u))). L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,w)). x != L(y,z,u * T(1 / w,v5)) | x = L(y,z,u * T(w \ 1,v5)). L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(u \ 1,w)). L(x,y,z * (1 / T(u,w))) = L(x,y,z * T(u \ 1,w)). x != L(y,z,u * (1 / w)) | x = L(y,z,u * (w \ 1)). L(x,y,z * T(u \ 1,w)) = L(x,y,z * (T(u,w) \ 1)). L(x,y,z * (T(u,w) \ 1)) = L(x,y,z * T(u \ 1,w)). 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 != L(a(y,z,z \ 1),y,u) | x = a(y,z,z \ 1). (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)). R(x,L(y,z,K(u,w)),v5) = R(x,y,a(u,z,K(w,y)) * v5). R(x,y,a(z,u,K(w,y)) * v5) = R(x,L(y,u,K(z,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))). ((x * y) * (a(z,u,K(w,v5)) * v6)) / (y * (a(z,u,K(w,v5)) * v6)) = R(x,y,v6). R(x,y,a(z,u,K(w,v5)) * v6) = R(x,y,v6). x != R(y,z,a(u,w,K(v5,z)) * v6) | x = R(y,L(z,w,K(u,v5)),v6). R(x,y,z) = R(x,L(y,u,K(w,v5)),z). R(x,L(y,z,K(u,w)),v5) = R(x,y,v5). R(x,y,L(z,u,K(w,v5))) = R(x,y,z). x != y | x = R(y,z,a(u,w,K(v5,v6))). R(x,y,L(z,u,K(w,v5))) = R(R(x,y,z),v6,a(v7,v8,K(v9,v10))). R(R(x,y,z),u,a(w,v5,K(v6,v7))) = R(x,y,L(z,v8,K(v9,v10))). R(x,y,L(z,u,K(w,v5))) != v6 | v6 = R(x,y,z). R(x,y,L(z,u,K(w,v5))) != v6 | R(x,y,z) = v6. 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). T(x,(y * K(z,u)) / (w \ a(v5,v6,K(v7,v8)))) = T(x,y / (a(v5,v6,K(v7,v8)) * (w \ K(u,z)))). (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). K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). 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). x != K(y,L(z,u,y \ w)) | x = K(y,L(z,u,w)). K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). x != K(y,L(z,a(u,w,v5),v6)) | x = K(y,z). K(x,L(y,R(z,u,u \ 1),z \ 1)) = K(x,y). 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)))). 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)))). 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)). T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w))) = T(x,y / (v5 * (a(z,u,w) \ 1))). x != T(y,z * T(u,a(w,v5,v6))) | x = T(y,z * u). T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y * ((a(u,w,v5) \ z) \ 1)). x != T(y,z * (u \ 1)) | x = T(y,z / u). T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). 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 * 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). 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). 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(u,z),w,v5)). K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). x != K(y,L((z / (u \ w)) * K(v5 \ u,v5),z,u \ w)) | x = K(y,z / (((v5 \ u) * v5) \ w)). K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). 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)). L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ 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. T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). 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). T(x,L(a(y,z,K(u,w)) * (v5 / (v6 \ 1)),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). x != T(y,L(z,u,a(w,v5,v6))) | x = T(y,z). T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,a(v6,w,K(v5,u)) * (y / (z \ 1))). T(x,a(y,z,K(u,w)) * (v5 / (v6 \ 1))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). x != T(y,a(z,u,K(w,v5)) * v6) | x = T(y,v6). T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y / (z \ 1)). x != T(y,z / (u \ 1)) | x = T(y,z * u). T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y * z). x != T(y,(z * K(u,w)) / (v5 \ a(v6,v7,K(v8,v9)))) | x = T(y,z / (a(v6,v7,K(v8,v9)) * (v5 \ K(w,u)))). T(x,(y * K(z,u)) * w) = T(x,y / (a(v5,v6,K(v7,v8)) * (w \ K(u,z)))). T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,(y * K(v8,v7)) * v6). x != T(y,(z * K(u,w)) * v5) | x = T(y,K(u,w) * (z * v5)). T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,K(v8,v7) * (y * v6)). T(x,y / (z \ K(u,w))) = T(x,K(w,u) * (y * z)). x != T(y,T(z,u \ T(w,v5)) / ((u \ w) \ K(w,v5))) | x = T(y,((u \ w) \ K(w,v5)) \ z). 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 * (((z * u) * w) \ (T(w,z * (u * w)) * (z * (u * w))))) = T(x,y * L(w,u,z)). 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 * T(a(z,u,w) \ T(w,z * (u * w)),z * (u * w))) = T(x,y * L(w,u,z)). 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,z * T(a(u,w,v5) \ T(v6,v7),v7)) | x = T(y,z * (a(u,w,v5) \ v6)). T(x,y * L(z,u,w)) = T(x,y * (a(w,u,z) \ z)). T(x,y * (a(z,u,w) \ w)) = T(x,y * L(w,u,z)). T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). x != K((y * z) \ u,L(w,u,y \ 1)) | x = K(L(z,y,y \ 1) \ ((y \ 1) * u),w). K(x \ (y \ z),u) = K(L(x,y,y \ 1) \ ((y \ 1) * z),u). K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K(x \ (y \ z),u). x / (K(y \ (z \ u),w) * x) = K(w,L(y,z,z \ 1) \ ((z \ 1) * u)). K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = w / (K(y \ (z \ u),x) * 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,L((y * z) \ R(y,u,u \ 1),R(y,u,u \ 1),y \ 1)) = K(x,z \ a(y,u,u \ 1)). x != K(y,L(z,R(u,w,w \ 1),u \ 1)) | x = K(y,z). K(x,y \ a(z,u,u \ 1)) = K(x,(z * y) \ R(z,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). 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). (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 \ 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). (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). 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)). K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. 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. 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 * 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(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). a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). 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)). a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / 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 * 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))). L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). 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)). x != K(y,K(z,u) * (w * (a(u,a(v5,v6,v7),z) * a(v5,v6,K(v7,u))))) | x = K(y,w * K(a(v5,v6,v7) * z,u)). K(x,K(y,z) * (u * a(z,a(w,v5,v6),y))) = K(x,u * K(a(w,v5,v6) * y,z)). (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. (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) \ 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 * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. 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 = (y * (((y / z) \ y) \ 1)) \ (y / z). (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. (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). (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,L(y,z,K(u,w)),v5) = L(x,y,v5). 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(L(L(y \ 1,z,K(u,w)),y,z),z * y,K(w,u)) | x = (z * y) \ z. ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ 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,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). 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 \ (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 != K(y,(z * K(u,w)) * v5) | x = K(y,z * (v5 * K(u,w))). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). x != K(y,z * (u * K(w \ v5,v6))) | x = K(y,z * (u * K(w * v5,v6))). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). x != K(y,z * (u * K(w * v5,w))) | x = K(y,z * (u * K(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). 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)). 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 \ 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,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 * (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 \ 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)). 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)). 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(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,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). x != K(y,(a(z,u,w) \ (v5 \ 1)) \ v6) | x = K(y,v5 * (a(z,u,w) * v6)). K(x,(y \ 1) \ z) = K(x,y * (a(u,a(w,v5,v6),v7) * z)). 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,a(w,v5,v6),v7))) = K(x,y * z). x != K(y,K(z,u) * (w * a(u,a(v5,v6,v7),z))) | x = K(y,w * K(a(v5,v6,v7) * z,u)). K(x,K(y,z) * u) = K(x,u * K(a(w,v5,v6) * y,z)). K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * 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)). 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(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). x != K(K(y,z) * (u \ (w * z)),v5) | x = K(u \ (w * T(z,y)),v5). 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). 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). K(a(x,y,y \ 1),T(z,u)) = K((x \ 1) * L(x,y,y \ 1),z). K(a(x,y,y \ 1),T(z,u)) = 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)). 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). 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. (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. 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,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)). L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). x != L(y,z,T(u,w \ L(y,z,u))) | x = L(y,z,u * K(w,u)). L(x,y,T(z,u \ w)) = L(x,y,z * K(w \ u,z)). L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). x != L(y,z,u * K(u \ w,u)) | x = L(L(y,z,u),z,K(w,u)). L(x,y,T(z,u \ z)) = L(L(x,y,z),y,K(u,z)). L(L(x,y,z),y,K(u,z)) = L(x,y,T(z,u \ z)). x != L(L(y,z,u),z,K(w,u)) | x = L(y,z,u * K(w,u)). 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 != 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,(z \ (u \ w)) * K(w,u)) | x = T(y,T(z \ T(u \ w,u),u * (z * w))). T(x,y \ (T(z,u) \ u)) = T(x,T(y \ T(z \ u,z),z * (y * u))). 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 * (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,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. K(x,(T(y,y \ z) \ T(z,y)) * u) = K(x,(y \ z) * u). K(x,(T(y \ z,y) * K(z,y)) * u) = K(x,(y \ z) * u). K(x,T((y \ z) * K(z,y),y) * u) = K(x,(y \ z) * u). K(x,T(y \ T(z,y),y) * u) = K(x,(y \ z) * u). K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). x != K(y,z * K(u,u \ w)) | x = K(y,z * K(w,u)). K(x,y \ (z / u)) = K(x,(T(u \ z,y) / y) * K(z,u)). 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)). x != K(y,K(z,u) * (w \ (v5 \ z))) | x = K(y,w \ (v5 \ T(z,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)). x != K(y,a(z,u,w) \ (v5 \ T(v6,v5))) | x = K(y,v6 / (a(z,u,w) * v5)). 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)). (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) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). T(x,L(y \ 1,z,u)) = T(x,L((w * y) \ w,z,u)). T(x,L((y * z) \ y,u,w)) = T(x,L(z \ 1,u,w)). x != T(y,L((z * u) \ z,w,v5)) | x = T(y,L(L(u \ 1,w,v5),u,z)). T(x,L(y \ 1,z,u)) = T(x,L(L(y \ 1,z,u),y,w)). T(x,L(L(y \ 1,z,u),y,w)) = T(x,L(y \ 1,z,u)). x != T(y,L(L(z \ 1,u,w),z,u)) | x = T(y,(w * (u * z)) \ (w * u)). T(x,L(y \ 1,z,u)) = T(x,(u * (z * y)) \ (u * z)). T(x,(y * (z * u)) \ (y * z)) = T(x,L(u \ 1,z,y)). T(x,L(y,z,u) \ 1) = T(x,L(y \ 1,z,u)). x != T(K(y,L(z / (u \ 1),w,v5)),L(y \ 1,w,v5) \ 1) | x = (L(y \ 1,w,v5) \ 1) \ T(L(y \ 1,w,v5) \ 1,z * u). T(K(x,L(y / (z \ 1),u,w)),L((x \ 1) \ 1,u,w)) = (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) \ 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,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 / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). 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,u) \ w)). K(x,y / (T(z * u,z) \ w)) = K(x,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)). x != (y * z) / R(z,u,u \ 1) | x = a(z,u,u \ 1) \ y. 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). 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)). 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))). L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / 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 != 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))). 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)). L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). 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)). x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). 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 * (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)). x != K(y,z / (u * K(w,v5))) | x = K(y,(z / u) * K(v5,w)). K(x,T((y \ z) \ u,z)) = K(x,(T(u,z \ (y \ z)) / (y \ z)) * K(z,y \ 1)). 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)). 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)). 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,L((y * u) / z,z,u \ 1)). K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). x != K(y,L(z / u,u,w)) | x = K(y,(z * w) / (u * w)). 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,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)). 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(y,z,z \ 1)) = K(x,z). x != K(y,(z * u) \ L(z,w,w \ 1)) | x = K(y,u \ a(z,w,w \ 1)). 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). T(x,y * a(z,y,y \ 1)) = T(x,y). (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). x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 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)). T(x * a(y,x,x \ 1),z) != u * w | u \ (T(x,z) * a(y,x,x \ 1)) = w. (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. 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 \ 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. (((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(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,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). 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 * 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). x != K(y,z * T(u,z)) | x = K(y,u * z). 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 * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). 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). (((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)). (((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)). (((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 * 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. a(x,y \ 1,y) \ z = x * (R(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. x != L((y \ z) \ z,u,w) * (y \ 1) | x = y \ L((y \ z) \ z,u,w). a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. 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)). (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). (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. (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. (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,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 \ 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 * (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 \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). (((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 * (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). ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. ((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 * (1 / x)) \ y)) \ 1 != z | z = ((y * (1 / x)) \ y) \ x. (x \ ((y * (1 / x)) \ y)) \ 1 != z | ((y * (1 / x)) \ y) \ x = z. (((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 * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). 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 / z)) \ y) * (1 / z) | x = z \ ((y * (z \ 1)) \ y). (x * (y \ 1)) \ (x / y) = 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 \ ((z * (y \ 1)) \ z)) \ 1 | x = ((z * (y \ 1)) \ z) \ y. (x / y) \ (x * (y \ 1)) = ((x * (y \ 1)) \ x) \ y. ((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 * (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 \ 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). x != K(y \ 1,y) * (a(z,y \ 1,y) * u) | x = ((y \ a(z,y \ 1,y)) * y) * u. (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 * 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 * (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,u) * (w \ 1)) \ K(v5 \ 1,v5),v6) | x = K(a(y,z,u) \ w,v6). 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))). 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). 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)). 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(y,K((z \ u) * w,z / w),(w \ z) * (u / (w \ z))) | x = y. 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 != y * K(z \ u,z * (u \ y)) | x = (T(u,z) / z) * (y / (T(u,z) / z)). (x \ y) * (z / (x \ y)) = (T(y,x) / x) * (z / (T(y,x) / x)). (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). 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)). (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). ((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(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) / 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 != (y / R(z,u,z)) * (w / (v5 / R(z,u,z))) | x = (y / z) * (w / (v5 / z)). ((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)). x != T(y / z,y) * (u / T(y / z,y)) | x = (z \ y) * (u / (z \ y)). ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). ((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)). 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)). x != K(y,z) * K(z,K(y,u)) | x = K(y,T(z,u)). K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). 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 != K(y \ 1,y) * a(z,y \ 1,y) | x = (y \ a(z,y \ 1,y)) * y. T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. 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 \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. 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 \ 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 \ 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. (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). a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = u * T(a(z,y,x) \ w,a(z,y,x) \ 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 != a(y,z,K(u,w)) * (v5 * (w / a(u,z,y))) | x = w * T(a(u,z,y) \ v5,a(u,z,y) \ w). x * (a(y,z,u) \ w) = w * T(a(y,z,u) \ x,a(y,z,u) \ 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)). 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 * (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. 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 != 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(K(y,z),u,w) \ (v5 * a(w,u,K(z,y))) | x = v5. 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 \ 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 * (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). 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). 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)). x != a(y,(1 / z) \ 1,1 / z) | x = a(y,z,z \ 1). 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 = (y * ((x * y) \ x)) \ z. (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. a(x,y,y \ 1) \ z = z * (y * ((x * y) \ x)). x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. 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 * 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). 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)). 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). 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 != 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). 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). 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)). 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. 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)). 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)). 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). a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 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 \ (y * (u * z)),w,w \ 1). a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). 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)). 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 * ((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). 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),v5,v5 \ 1) | x = a(y \ ((u \ z) * w),v5,v5 \ 1). R(a(x,y,y \ 1),z,u) = a(((x \ z) * u) \ (((w / u) \ w) * z),y,y \ 1). a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). x != a(((y \ z) * u) \ (u * z),w,w \ 1) | x = L(a(y,w,w \ 1),z,(y \ z) / ((y \ z) / u)). R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,(x \ z) / ((x \ 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). x != L(y,z,(u \ w) * (v5 / (u \ w))) | x = L(y,z,T(v5,w \ u)). R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,T(u,z \ x)). 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,a(y,z,z \ 1) * u) = K(x,u). (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). 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. 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) \ 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). (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 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. 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). 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). 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). 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)). 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. 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). 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). K(x,y * (z \ u)) = K(x,y / (u \ z)). K(x,y / (z \ u)) = K(x,y * (u \ z)). K(x,(y / z) \ a(u,w,v5)) != v6 | K(x,a(u,w,v5) * (z / y)) = v6. K(x,y / (a(z,u,u \ 1) \ w)) != v5 | K(x,a(z,u,u \ 1) * (y / w)) = 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)). x != K(y,a(z,u,u \ 1) * w) | x = K(y,w). K(x,y / ((z \ 1) \ u)) = K(x,y / (((w * z) \ w) \ u)). K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). 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. 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). (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)). x != K(y,a(z \ 1,z,u) \ w) | x = K(y,a(u,z,z \ 1) * 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,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)). x != K(y,z / (u \ w)) | x = K(y,z * (w \ 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)). x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). 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 \ 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(y,u,K(z,x)). a(x,y,K(z,u)) = a(u,x,K(z,y)). x != y * a(y,z,K(u,w)) | x = L(y,z,K(u,w)). x * a(y,x,K(z,u)) = L(x,z,K(y,u)). a(x,y,K(z * u,w)) = a(w,x,K(u * z,y)). x * a(y,x,K(z,u)) = L(x,y,K(u,z)). K(x,y) * a(z,u,K(x,y)) = K(x,L(y,z,u)). L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. x != a(y,z,K(u * w,u)) | x = a(u,z,K(y,w)). a(x,y,K(z * y,u)) = a(y,x,K(u,z)). K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). x != y * a(z,y,K(u,w)) | x = L(y,u,K(z,w)). L(x,y,K(z,u)) = L(x,u,K(y,z)). L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). 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)). 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)). 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. 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. T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). a(x,y,K(z,z \ y)) \ (K((z \ y) * x,z) * (y * x)) = y * (x * K((z \ y) * x,z)). 1 \ (K((x \ y) * z,x) * (y * z)) = y * (z * K((x \ y) * z,x)). K(x,L(y,z,u)) = K(x,L(y,u \ 1,z)). K(x,L(y,z \ 1,u)) = K(x,L(y,u,z)). x != K(y,L((z * u) \ w,u,z \ 1)) | x = K(y,u \ (z \ w)). K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). x != K(y,L(z,(u \ w) \ 1,w)) | x = K(y,L(z,u,w)). K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). 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(y,L(z,u,w \ u)) | x = K(y,L(z,w,w \ u)). K(x,L(y,z,u)) = K(x,L(y,z,z \ u)). K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). 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)). 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,u \ z)) = T(x,L(y,u,z)). T(x,L(y,z,z \ u)) != w | T(x,L(y,z,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)). T(x,y \ R(y,z,u)) = T(x,L(y \ R(y,z,u),y,w)). T(x,L(y \ R(y,z,u),y,w)) = T(x,y \ R(y,z,u)). T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). L(x,y,K(z,u)) = T(x,u \ R(u,y,z)). T(x,y \ R(y,z,u)) = L(x,z,K(u,y)). 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)). x * y != T(z,u \ R(u,w,v5)) | T(x,y) = y \ L(z,w,K(v5,u)). T(K(x,T(y \ R(y,z,u),w)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). 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)). 1 \ ((x * y) * K((z \ x) * y,z)) = x * (y * K((z \ x) * y,z)). (x * y) * K((z \ x) * y,z) = x * (y * K((z \ x) * y,z)). (x * (y * z)) / (y * (z * K((x \ y) * z,x))) = T(x,(x \ y) * z). (x * (y * z)) / (y * (z * K(y * (x \ z),x))) = T(x,(x \ y) * z). T(x,y * (x \ z)) = T(x,(x \ y) * z). T(x,(x \ y) * z) = T(x,y * (x \ z)). x != T(y,z * L(y,u,w)) | x = T(y,L(y,u,w) * z). T(x,y * (x \ L(x,z,u))) = T(x,L(x,z,u) * (x \ y)). T(x,L(x,y,z) * (x \ u)) = T(x,u * (x \ L(x,y,z))). T(x,(x \ y) * (a(z,u,x) \ x)) = T(x,y * (a(z,u,x) \ 1)). x != T(y,z * (a(u,w,v5) \ v5)) | x = T(y,z * L(v5,w,u)). T(x,y * (a(z,u,x) \ 1)) = T(x,(x \ y) * L(x,u,z)). T(x,(x \ y) * L(x,z,u)) = T(x,y * (a(u,z,x) \ 1)). x != T(y,(y \ z) * u) | x = T(y,z * (y \ u)). T(x,y * (a(z,u,x) \ 1)) = T(x,y * (x \ L(x,u,z))). T(x,a(y,z,x) \ u) = T(x,u * (x \ L(x,z,y))). T(x,y * (x \ L(x,z,u))) = T(x,a(u,z,x) \ y). x != T(y,z * (y \ L(y,u,w))) | x = T(y,L(y,u,w) * (y \ z)). 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 != 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). T(a(x,y,z),a(x,y,z) \ u) \ T(z,u) = a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))). a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = T(a(x,y,z),a(x,y,z) \ u) \ T(z,u). (a(x,y,z) * u) * L(T(z,u),w,v5) = L(z,w,v5) * (a(x,y,z) * u). a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,a(x,y,z) \ u),y,z) \ T(z,u). x * y != (a(z,u,w) * v5) * L(T(w,v5),v6,v7) | x \ (L(w,v6,v7) * (a(z,u,w) * v5)) = y. (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. a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,u),y,z) \ T(z,u). a(x,y,z) \ T(a(z,y,K(x,u)) * z,a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). a(x,y,z) \ T(L(z,y,K(x,u)),a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). a(x,y,z) \ L(T(z,a(x,y,z) \ u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). a(x,y,z) \ L(T(z,u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). a(x,y,z) \ T(z,L(u,y,x)) = a(T(x,u),y,z) \ T(z,u). a(T(x,y),z,u) \ T(u,y) = a(x,z,u) \ T(u,L(y,z,x)). x != a(y,z,u) \ T(u,L(w,z,y)) | x = T(a(y,z,u) \ u,w). a(T(x,y),z,u) \ T(u,y) = T(a(x,z,u) \ u,y). x != T(a(T(y,z \ 1),u,w) \ v5,z) | x = (z * a(y,u,w)) \ (v5 * z). a(T(T(x,y \ 1),y),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). a(T(T(x,y),y \ 1),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). a(x,y,z) \ T(z,u) = (u * a(x,y,z)) \ (z * u). (x * a(y,z,u)) \ (u * x) = a(y,z,u) \ T(u,x). (x * y) / (a(z,u,x) \ T(x,y)) = y * a(z,u,x). x != (y * z) / (u \ T(y,z)) | x = (z * y) / (u \ y). x * a(y,z,u) = (x * u) / (a(y,z,u) \ 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. L(x,y,z) = a(z,y,x) \ x. 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. 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). L(x,y,z) \ x = a(z,y,x). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ (L(z,y,x) * u). (x * y) / L(y,z,u) = x * a(u,z,y). x != (y \ 1) \ L(y \ 1,z,u) | x = y * L(y \ 1,z,u). a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x). (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). T(x * (a(y,z,u) \ 1),x) = L(x * (u \ L(u,z,y)),z,K(u,y)). K(x,K(y,z * u)) = K(x,K(y,z * L(u,w,v5))). K(x,K(y,z * L(u,w,v5))) = K(x,K(y,z * u)). 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 != L(y,z,T(u,w)) \ y | x = L(T(y,w),z,u) \ T(y,w). a(T(x,y),z,u) = L(T(u,y),z,x) \ T(u,y). L(T(x,y),z,u) \ T(x,y) = a(T(u,y),z,x). x != L(y,z,a(u,a(w,v5,v6),v7)) \ y | x = a(a(y,z,u),a(w,v5,v6),v7) \ 1. a(a(x,a(y,z,u),w),v5,v6) = a(a(v6,v5,x),a(y,z,u),w) \ 1. a(a(x,y,z),a(u,w,v5),v6) \ 1 = a(a(z,a(u,w,v5),v6),y,x). L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). x != y \ (L(y,z,u) * w) | x = L(y,z,u) * (y \ w). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = L(z,y,x) * (z \ u). (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). x != L(y,z,u) \ y | x = a(u,z,y). a(T(x,y),z,u) = a(x,z,T(u,y)). a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = 1 / a(a(z,a(u,w,v5),v6),y,x). L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). x != y / a(a(z,u,w),v5,v6) | x = a(a(z,u,w),v6,v5) \ y. a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y) \ 1. x != (y \ z) * L((y \ z) \ 1,u,w) | x = y \ (z * L(z \ y,u,w)). a(x,y,(z \ u) \ 1) \ 1 = z \ (u * L(u \ z,y,x)). L(x * (a(y,z,u) \ 1),z,K(u,y)) = L(x * (u \ L(u,z,y)),z,K(u,y)). x * (a(y,z,T(u,x)) \ 1) = T(x * (a(y,z,u) \ 1),x). x != L(y,a(z,u,w),L(w,v5,v6)) | x = y. (x / y) * L(y,z,u) = x / a(u,z,y). L(a(x,y,z) \ u,a(x,y,z),L(z,y,x)) = L(z,y,x) * (z \ u). L(x,y,z) * (x \ u) = a(z,y,x) \ u. x != L(a(y,a(z,u,w),v5),v6,v7) * (a(y,a(z,u,w),v5) \ v8) | x = v8 * a(a(y,a(z,u,w),v5),v7,v6). a(x,y,a(z,a(u,w,v5),v6)) \ v7 = v7 * a(a(z,a(u,w,v5),v6),x,y). T(x * (a(y,z,a(u,a(w,v5,v6),v7)) * K(v8,a(y,z,a(u,a(w,v5,v6),v7)))),a(a(u,a(w,v5,v6),v7),y,z)) = a(a(u,a(w,v5,v6),v7),y,z) \ T(x * K(v8,a(y,z,a(u,a(w,v5,v6),v7))),a(y,z,a(u,a(w,v5,v6),v7))). a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * K(v8,a(v5,v6,a(x,a(y,z,u),w)))),a(a(x,a(y,z,u),w),v5,v6)). a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * 1),a(a(x,a(y,z,u),w),v5,v6)). a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * a(v5,v6,a(x,a(y,z,u),w)),a(a(x,a(y,z,u),w),v5,v6)). x != T(y,a(a(z,u,w),v5,v6)) | x = y. a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). a(a(x,a(y,z,u),w),v5,v6) \ T(v7,a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,K(a(x,a(y,z,u),w),v5)) = v7 * a(v5,v6,a(x,a(y,z,u),w)). a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,1) = v7 * a(v5,v6,a(x,a(y,z,u),w)). a(a(x,a(y,z,u),w),v5,v6) \ v7 = v7 * a(v5,v6,a(x,a(y,z,u),w)). x != a(a(y,a(z,u,w),v5),v6,v7) \ 1 | x = a(v6,v7,a(y,a(z,u,w),v5)). a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(x,y,a(z,a(u,w,v5),v6)). a(x,y,a(z,a(u,w,v5),v6)) = a(a(x,y,z),a(u,w,v5),v6). a(a(x,y,z),a(u,w,v5),v6) = a(x,y,a(z,a(u,w,v5),v6)). x != y \ ((z * T(y,K(u,w))) * v5) | x = T(y,K(u,w)) \ ((z * y) * v5). a(x,y,(z \ (u * T(z,K(w,v5)))) \ 1) \ 1 = T(z,K(w,v5)) \ ((u * z) * L((u * T(z,K(w,v5))) \ z,y,x)). T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,(x \ (u * T(x,K(y,z)))) \ 1) \ 1. T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u * K(x,K(y,z)),x) \ 1) \ 1. T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,K(x,K(y,z)) * (T(u,x) \ 1)) \ 1. T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u,x) \ 1) \ 1. 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)). 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,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 != T(y,L(z,(u / T(w,v5)) * a(v6,v7,w),v8)) | x = T(y,L(z,(L(w,v7,v6) * K(w,v5)) \ u,v8)). T(x,L(y,z / T(u,w),v5)) = T(x,L(y,(L(u,v6,v7) * K(u,w)) \ z,v5)). 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)). x != L(y,z,K(u,w)) | x = L(y,u,K(w,z)). L(x,y,K(z,u)) = L(x,u,K(a(w,v5,v6) * 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)). K(x,K(y,z * ((u * w) \ v5))) = K(x,K(y,z * (w \ (u \ v5)))). K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,((u * z) * w) * (w \ (u \ v5)))). K(x,K(y,((z * u) * w) * (w \ (z \ v5)))) = K(x,K(y,R(u,z,w) * v5)). K(x,K(y,(z * u) * (w * (w \ (z \ v5))))) = K(x,K(y,R(u,z,w) * v5)). K(x,K(y,(z * u) * (z \ w))) = K(x,K(y,R(u,z,v5) * w)). K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,(u * z) * (u \ v5))). x != K(y,K(z,(u * w) * v5)) | x = K(y,K(z,u * (w * v5))). K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,u * (z * (u \ v5)))). x != K(y,K(z,u * (w * (u \ v5)))) | x = K(y,K(z,v5 * w)). K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,z * R(u,w,v5))) = K(x,K(y,z * u)). K(x \ R(y,z,u),T(w,v5)) \ K(w,K(v5,x * y)) = K(w,x \ R(y,z,u)). K(x \ R(x,y,z),T(u,w)) \ 1 = K(u,x \ R(x,y,z)). K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). T(K(x,y \ R(y,z,u)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). K(x,y \ R(y,z,u)) = T(x,w) \ L(T(x,w),z,K(u,y)). K(x,y \ R(y,z,u)) = a(T(x,w),z,K(u,y)). x != a(T(y,a(z,u,w)),v5,v6) | x = a(y,v5,v6). K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). ((x \ R(x,y,z)) * u) / (a(w,y,K(z,x)) * u) = T(x \ R(x,y,z),w). a(x,y,K(z,u)) * (((x \ R(x,y,z)) * w) / w) = T(x \ R(x,y,z),u). a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). x != a(y,z,K(u,w)) * (y \ v5) | x = L(y,z,K(w,u)) \ v5. T(x \ R(x,y,z),u) = L(x,y,K(u,z)) \ R(x,y,z). L(x,y,K(z,u)) \ R(x,y,u) = T(x \ R(x,y,u),z). R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x,y,K(u,z)) \ 1) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x \ 1,y,K(u,z))) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),x \ 1) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),x \ 1). x != R(y,L(z,u,K(w,v5)),v6) | x = R(y,z,v6). T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),x,x \ 1). x != R(T(y \ z,u),y,y \ 1) | x = T(T(z * (y \ 1),y),u). T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(R(x,y,z) * (x \ 1),x),u). T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(x \ R(x,y,z),x),u). T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). T(R(x,y,z) * L(x \ 1,y,K(u,z)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). T(x \ L(R(x,y,z),y,K(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). T(x \ R(x,y,T(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). T(x \ R(x,y,T(z,u)),x) = T(x \ R(x,y,z),u). x \ R(x,y,T(z,u)) = T(x \ R(x,y,z),u). L(T(x \ R(x,y,z),u),x,y * T(z,u)) = a(x,y,T(z,u)). L(T(x \ R(x,y,z \ 1),u),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). x != L(y,z,u * (T(w,v5) \ 1)) | x = L(y,z,u * T(w \ 1,v5)). a(x,y,T(z,u) \ 1) = L(T(x \ R(x,y,z \ 1),u),x,y * T(z \ 1,u)). L(T(x \ R(x,y,z \ 1),u),x,y * T(z \ 1,u)) = a(x,y,T(z,u) \ 1). x != L(T(y \ R(y,z,u),w),y,z * T(u,w)) | x = a(y,z,T(u,w)). a(x,y,T(z,u) \ 1) = a(x,y,T(z \ 1,u)). T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. T(x,K(y,z)) \ ((u * x) * L((u * x) \ T(x,K(y,z)),w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. T(x,K(y,z)) \ (u * (x * L(x \ (u \ T(x,K(y,z))),w,v5))) = a(v5,w,T(u \ 1,x)) \ 1. x != T(y,K(z,u)) \ (w * (y * v5)) | x = y \ (w * (T(y,K(z,u)) * v5)). a(x,y,T(z \ 1,u)) \ 1 = u \ (z * (T(u,K(w,v5)) * L(u \ (z \ T(u,K(w,v5))),y,x))). x \ (y * (T(x,K(z,u)) * L(x \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. x \ (y * (x * L(T(x,K(z,u)) \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. x \ (y * (x * L(x \ (y \ x),z,u))) = a(u,z,T(y \ 1,x)) \ 1. x \ ((y * L(y \ 1,z,u)) * x) = a(u,z,T(y \ 1,x)) \ 1. T(x * L(x \ 1,y,z),u) = a(z,y,T(x \ 1,u)) \ 1. L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T((1 / x) \ 1,u)) \ 1. L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. L(T(x \ L(x,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. x != L(T(y \ z,u),y,y \ 1) | x = T((1 / y) * z,u). a(x,y,T(z,u)) \ 1 = T((1 / z) * L(z,y,x),u). T((1 / x) * L(x,y,z),u) = a(z,y,T(x,u)) \ 1. T(1 / a(x,y,z),u) = a(x,y,T(z,u)) \ 1. a(x,y,T(z,u)) \ 1 = T(1 / a(x,y,z),u). a(x,y,T(z,u)) \ 1 = T(a(x,y,z) \ 1,u). x * T(a(y,z,u) \ 1,x) = T(x * (a(y,z,u) \ 1),x). (a(x,y,z) \ 1) * u = T(u * (a(x,y,z) \ 1),u). T(x * (a(y,z,u) \ 1),x) = (a(y,z,u) \ 1) * x. x * T(y,z) != T(z * y,z) | x = R(z,y,z). x = R(x,a(y,z,u) \ 1,x). R(x,a(y,z,u) \ 1,x) = x. x != T(y * (a(z,u,w) \ 1),y) | x = L(y * (w \ L(w,u,z)),u,K(w,z)). (a(x,y,z) \ 1) * u = L(u * (z \ L(z,y,x)),y,K(z,x)). L(x * (y \ L(y,z,u)),z,K(y,u)) = (a(u,z,y) \ 1) * x. (x * a(y,z,u)) \ x = a(y,z,u) \ 1. x / (a(y,z,u) \ 1) = x * a(y,z,u). x / a(y,z,u) = x * (a(y,z,u) \ 1). x * (a(y,z,u) \ 1) = x / a(y,z,u). L(x / a(y,z,u),z,K(u,y)) = L(x * (u \ L(u,z,y)),z,K(u,y)). L(x * (y \ L(y,z,u)),z,K(y,u)) = L(x / a(u,z,y),z,K(y,u)). x != L(y / a(z,u,w),u,K(w,z)) | x = a(z,u,w) \ y. L(x * (y \ L(y,z,u)),z,K(y,u)) = a(u,z,y) \ x. x != L(y * (z \ L(z,u,w)),u,K(z,w)) | x = (a(w,u,z) \ 1) * y. a(x,y,z) \ u = (a(x,y,z) \ 1) * u. (a(x,y,z) \ 1) * u = a(x,y,z) \ u. x != (a(y,z,u) \ 1) * w | x = (u \ L(u,z,y)) * w. a(x,y,z) \ u = (z \ L(z,y,x)) * u. (x \ L(x,y,z)) * u = a(z,y,x) \ u. 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. (x \ L(x,y,z)) \ u = 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 \ 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. x != (y \ L(y,z,u)) \ w | x = a(u,z,y) * w. (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). x * y != (a(z,u,w) * a(v5,v6,v7)) * v8 | T(x,y) = y \ (a(v5,v6,v7) * (a(z,u,w) * v8)). T(K(a(x,y,z),a(u,w,v5)),(a(u,w,v5) * a(x,y,z)) * v6) = ((a(u,w,v5) * a(x,y,z)) * v6) \ (a(u,w,v5) * (a(x,y,z) * v6)). ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(K(a(u,w,v5),a(x,y,z)),(a(x,y,z) * a(u,w,v5)) * v6). x * y != (a(z,u,w) * a(v5,v6,v7)) * v8 | x \ (a(v5,v6,v7) * (a(z,u,w) * v8)) = y. (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) = a(a(x,y,z),a(u,w,v5),v6). ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(a(a(u,w,v5),y,K(z,x)),(a(x,y,z) * a(u,w,v5)) * v6). ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(1,(a(x,y,z) * a(u,w,v5)) * v6). x != T(1,y) | x = 1. ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = 1. (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) = 1. x != (a(y,z,u) * (a(w,v5,v6) * v7)) \ (a(w,v5,v6) * (a(y,z,u) * v7)) | x = a(a(y,z,u),a(w,v5,v6),v7). 1 = a(a(x,y,z),a(u,w,v5),v6). a(a(x,y,z),a(u,w,v5),v6) = 1. x != a(a(y,z,u),a(w,v5,v6),v7) | x = a(y,z,a(u,a(w,v5,v6),v7)). 1 = a(x,y,a(z,a(u,w,v5),v6)). a(x,y,a(z,a(u,w,v5),v6)) = 1. L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). x != L(a(y,a(z,u,w),v5),v6,v7) | x = R(a(y,a(z,u,w),v5),v7,v6). a(x,a(y,z,u),w) = R(a(x,a(y,z,u),w),v5,v6). R(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). a(x,a(y,z,u),w) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. L((x * y) \ (x * y),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). L(1,x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). 1 = a(a(x,a(y,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(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl") # 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(a(c1,a(c2,c3,c4),c5),c6,c7) != 1 # label("nil3 25, aa2-Nl"). [deny(10)]. end_of_list. formulas(demodulators). end_of_list. % 25710 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "nil3 25, aa2-Nl" 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(a(c1,a(c2,c3,c4),c5),c6,c7) != 1 # label("nil3 25, aa2-Nl") # answer("nil3 25, aa2-Nl"). [deny(10)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 48 a(a(c1,a(c2,c3,c4),c5),c6,c7) != 1 # label("nil3 25, aa2-Nl") # answer("nil3 25, aa2-Nl"). [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. % 20100 hints (25710 processed, 5610 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 1.19 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): 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. given #31 (H,wt=5): 53 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): 121 T(x,x) = x. [para(32(a,2),13(a,1))]. given #35 (H,wt=5): 132 K(x,x) = 1. [para(53(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): 50 x * (1 * 1) = x. [para(11(a,2),12(a,1,2))]. given #38 (H,wt=7): 62 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. given #39 (H,wt=7): 65 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. given #40 (H,wt=7): 128 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. given #41 (H,wt=5): 150 T(x,1) = x. [para(128(a,1),32(a,2))]. given #42 (H,wt=5): 152 K(x,1) = 1. [hyper(36,a,150,a)]. given #43 (H,wt=5): 153 T(1,x) = 1. [hyper(35,a,150,a)]. given #44 (H,wt=5): 155 K(1,x) = 1. [hyper(36,a,153,a)]. given #45 (H,wt=7): 131 T(x,1) = x * 1. [para(51(a,1),32(a,2))]. given #46 (H,wt=7): 136 x * K(y,y) = x. [para(132(a,2),12(a,1,2))]. given #47 (H,wt=7): 137 x / 1 = 1 * x. [hyper(18,a,16,a,b,49,a),flip(a)]. given #48 (H,wt=7): 138 x \ x = 1 * 1. [hyper(17,a,14,a,b,50,a),flip(a)]. given #49 (H,wt=7): 151 1 \ x = 1 * x. [para(49(a,1),128(a,1,2))]. given #50 (H,wt=7): 154 T(x,y \ y) = x. [para(53(a,2),150(a,1,2))]. given #51 (H,wt=8): 76 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. given #52 (H,wt=8): 77 1 * x != y | x = y. [para(11(a,1),19(a,2))]. given #53 (H,wt=8): 78 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. given #54 (H,wt=8): 85 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. given #55 (H,wt=8): 86 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. given #56 (H,wt=8): 157 x / 1 != y | y = x. [para(137(a,2),76(a,1))]. given #57 (H,wt=8): 158 x \ x != y | 1 = y. [para(138(a,2),76(a,1)),flip(b)]. given #58 (H,wt=8): 159 1 \ x != y | y = x. [para(151(a,2),76(a,1))]. given #59 (H,wt=8): 162 x / 1 != y | x = y. [para(137(a,2),77(a,1))]. given #60 (H,wt=8): 163 1 \ x != y | x = y. [para(151(a,2),77(a,1))]. given #61 (H,wt=8): 166 T(x,1) != y | y = x. [para(131(a,2),85(a,1))]. given #62 (H,wt=9): 52 x \ (1 * (x * y)) = y. [para(11(a,2),13(a,1,2))]. given #63 (H,wt=9): 55 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. given #64 (H,wt=9): 56 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. given #65 (H,wt=9): 63 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. given #66 (H,wt=9): 64 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. given #67 (H,wt=9): 122 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. given #68 (H,wt=9): 124 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. given #69 (H,wt=9): 129 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. given #70 (H,wt=9): 130 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. given #71 (H,wt=9): 133 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. given #72 (H,wt=9): 134 T(T(x,y),x) = T(x,y). [para(121(a,1),38(a,1,1)),flip(a)]. given #73 (H,wt=7): 204 K(T(x,y),x) = 1. [hyper(36,a,134,a)]. given #74 (H,wt=7): 205 T(x,T(x,y)) = x. [hyper(35,a,134,a)]. given #75 (H,wt=7): 207 K(x,T(x,y)) = 1. [hyper(36,a,205,a)]. given #76 (H,wt=9): 143 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. given #77 (H,wt=9): 146 (x / (1 * y)) \ x = y. [hyper(17,a,11,a,b,65,a(flip)),flip(a)]. given #78 (H,wt=9): 176 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,122,a)]. given #79 (H,wt=9): 177 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,122,a(flip)),flip(a)]. given #80 (H,wt=9): 178 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,122,a(flip)),flip(a)]. given #81 (H,wt=9): 181 x * T(y / x,x) = y. [para(122(a,2),16(a,1))]. given #82 (H,wt=9): 211 (x / (1 * y)) * y = x. [para(146(a,1),14(a,1,2))]. given #83 (H,wt=9): 213 K(x,(y * x) / y) = 1. [para(176(a,1),204(a,1,1))]. given #84 (H,wt=9): 217 T(x,(y * x) / y) = x. [hyper(37,a,213,a)]. given #85 (H,wt=10): 81 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. given #86 (H,wt=10): 82 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. given #87 (H,wt=10): 88 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. given #88 (H,wt=10): 90 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. given #89 (H,wt=10): 161 K(x,1) * y != z | y = z. [para(152(a,2),77(a,1,1))]. given #90 (H,wt=11): 54 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. given #91 (H,wt=11): 57 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. given #92 (H,wt=9): 219 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. given #93 (H,wt=9): 221 x * (x \ y) = y * 1. [para(219(a,1),14(a,1,2)),flip(a)]. given #94 (H,wt=9): 223 (x / y) * y = x * 1. [para(65(a,1),221(a,1,2))]. given #95 (H,wt=10): 224 x * (x \ y) != z | z = y. [para(221(a,2),85(a,1))]. given #96 (H,wt=10): 226 (x / y) * y != z | z = x. [para(223(a,2),85(a,1))]. given #97 (H,wt=10): 227 (x / y) * y != z | x = z. [para(223(a,2),86(a,1))]. given #98 (H,wt=11): 58 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. given #99 (H,wt=11): 61 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. given #100 (H,wt=11): 66 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. given #101 (H,wt=11): 67 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. given #102 (H,wt=11): 68 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. given #103 (H,wt=11): 69 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. given #104 (H,wt=11): 70 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. given #105 (H,wt=9): 239 x \ (x * y) = 1 \ y. [hyper(70,a,13,a,b,14,a),flip(a)]. given #106 (H,wt=9): 240 x != y | z != y | z = x. [para(11(a,1),70(b,1))]. given #107 (H,wt=9): 243 (x / y) \ x = y / 1. [hyper(240,a,65,a,b,60,a),flip(a)]. given #108 (H,wt=9): 248 (x / y) * y = 1 * x. [hyper(240,a,16,a,b,11,a),flip(a)]. given #109 (H,wt=9): 251 (1 * x) / y = x / y. [hyper(90,a,248,a)]. given #110 (H,wt=10): 241 x \ (x * y) != z | z = y. [para(239(a,2),159(a,1))]. given #111 (H,wt=8): 257 1 != x | y \ y = x. [para(219(a,1),241(a,1)),flip(b)]. given #112 (H,wt=10): 242 x \ (x * y) != z | y = z. [para(239(a,2),163(a,1))]. given #113 (H,wt=10): 250 (x / y) \ x != z | z = y. [para(243(a,2),157(a,1))]. given #114 (H,wt=11): 71 1 * x != y | z != y | z = x. [para(11(a,1),17(b,1))]. given #115 (H,wt=11): 72 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. given #116 (H,wt=11): 74 x != y | z * x != y | 1 = z. [para(11(a,1),18(a,1)),flip(c)]. given #117 (H,wt=11): 91 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. given #118 (H,wt=11): 92 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. given #119 (H,wt=11): 93 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. given #120 (H,wt=11): 98 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. given #121 (H,wt=11): 123 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. given #122 (H,wt=11): 135 T(L(x,y,z),x) = L(x,y,z). [para(121(a,1),40(a,1,1)),flip(a)]. given #123 (H,wt=8): 273 T(x,L(x,y,z)) = x. [hyper(35,a,135,a)]. given #124 (H,wt=8): 274 K(x,L(x,y,z)) = 1. [hyper(36,a,273,a)]. given #125 (H,wt=11): 139 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. given #126 (H,wt=11): 141 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. given #127 (H,wt=11): 144 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. given #128 (H,wt=11): 145 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. given #129 (H,wt=11): 147 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. given #130 (H,wt=11): 149 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. given #131 (H,wt=11): 179 (x \ y) * T(x,x \ y) = y. [para(122(a,2),14(a,1))]. given #132 (H,wt=11): 197 T(x / (x / y),x / y) = y. [para(124(a,2),65(a,1))]. given #133 (H,wt=11): 198 K(x \ 1,x) = (x \ 1) * x. [para(129(a,1),26(a,2))]. given #134 (H,wt=11): 201 K(x,1 / x) = x * (1 / x). [para(130(a,1),26(a,2))]. given #135 (H,wt=11): 206 T(x,y) * x = x * T(x,y). [para(134(a,1),122(a,1,2)),flip(a)]. given #136 (H,wt=11): 208 T(x / y,y \ x) = x / y. [para(124(a,1),205(a,1,2))]. given #137 (H,wt=11): 209 x / T(y,y \ x) = y \ x. [para(14(a,1),143(a,1,1))]. given #138 (H,wt=11): 228 (x / y) * y = z * (z \ x). [para(223(a,2),221(a,2)),flip(a)]. given #139 (H,wt=11): 236 ((x * (x \ y)) / z) \ y = z. [hyper(81,a,67,a)]. given #140 (H,wt=11): 237 ((x / y) * y) / z = x / z. [para(16(a,1),68(a,1,1,1,1))]. given #141 (H,wt=11): 244 (x / y) \ x = z * (z \ y). [hyper(240,a,65,a,b,14,a),flip(a)]. given #142 (H,wt=11): 245 x / (y \ x) = (y / z) * z. [hyper(240,a,62,a,b,16,a),flip(a)]. given #143 (H,wt=10): 298 x / (y \ x) != z | z = y. [para(245(a,2),226(a,1))]. given #144 (H,wt=8): 300 x / x != y | 1 = y. [para(51(a,1),298(a,1,2)),flip(b)]. given #145 (H,wt=10): 299 (x * y) / y != z | z = x. [para(13(a,1),298(a,1,2))]. given #146 (H,wt=11): 246 x / (y \ x) = z * (z \ y). [hyper(240,a,62,a,b,14,a),flip(a)]. given #147 (H,wt=11): 247 (x * y) / y = (x / z) * z. [hyper(240,a,16,a,b,15,a)]. given #148 (H,wt=10): 308 (x * y) / y != z | x = z. [para(247(a,2),227(a,1))]. given #149 (H,wt=11): 249 x \ (x * y) = z * (z \ y). [hyper(240,a,14,a,b,13,a)]. given #150 (H,wt=11): 253 (x / ((y / z) * z)) * y = x. [para(248(a,2),211(a,1,1,2))]. given #151 (H,wt=11): 259 x != y | z != y | x \ z = 1. [para(14(a,1),72(b,1)),flip(c)]. given #152 (H,wt=11): 260 x != y | z != y | z / x = 1. [para(16(a,1),74(b,1)),flip(c)]. given #153 (H,wt=11): 261 (x / (y * (y \ z))) * z = x. [hyper(227,a,91,a),flip(a)]. given #154 (H,wt=11): 276 ((x / y) \ x) * (y \ z) = z. [hyper(240,a,14,a(flip),b,145,a)]. given #155 (H,wt=11): 277 x * (((y / x) \ y) \ z) = z. [hyper(224,a,145,a)]. given #156 (H,wt=11): 279 (x / y) * ((z / y) \ z) = x. [para(65(a,1),147(a,1,2,1,2))]. given #157 (H,wt=11): 286 (x \ 1) \ K(x \ 1,x) = x. [hyper(81,a,198,a(flip))]. given #158 (H,wt=11): 292 (((x / y) * y) / z) \ x = z. [hyper(82,a,228,a(flip))]. given #159 (H,wt=11): 293 x / (y \ ((x / z) * z)) = y. [hyper(18,a,147,a,b,228,a(flip))]. given #160 (H,wt=11): 304 (x * (x \ y)) \ z = y \ z. [para(246(a,1),65(a,1,1))]. given #161 (H,wt=11): 319 (x / (y \ x)) \ z = y \ z. [para(246(a,2),304(a,1,1))]. given #162 (H,wt=12): 79 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. given #163 (H,wt=10): 320 1 * x != y * 1 | x = y. [para(11(a,1),79(a,1,1)),flip(a)]. given #164 (H,wt=10): 321 x * y != x * z | z = y. [para(12(a,1),79(a,1))]. given #165 (H,wt=10): 322 1 * x != y | 1 * y = x. [para(49(a,1),320(a,2)),flip(b)]. given #166 (H,wt=8): 323 x != y | 1 * y = x. [para(11(a,1),322(a,1))]. given #167 (H,wt=12): 84 1 * (x * y) != z * y | z = x. [para(11(a,2),20(a,2)),flip(a)]. given #168 (H,wt=12): 103 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. given #169 (H,wt=6): 324 L(x,y,1) = x. [hyper(240,a,52,a(flip),b,103,a(flip))]. given #170 (H,wt=8): 325 L(x,y,1) = x / 1. [hyper(240,a,60,a,b,324,a)]. given #171 (H,wt=9): 327 L(x,y,1) != z | z = x. [para(325(a,2),157(a,1))]. given #172 (H,wt=12): 104 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. given #173 (H,wt=10): 328 x \ (x * y) = L(y,1,x). [para(12(a,1),104(a,1,1))]. given #174 (H,wt=6): 329 L(x,1,y) = x. [hyper(242,a,328,a),flip(a)]. given #175 (H,wt=9): 330 L(x,1,y) != z | z = x. [para(328(a,1),241(a,1))]. given #176 (H,wt=12): 105 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. given #177 (H,wt=6): 332 L(1,x,y) = 1. [hyper(158,a,105,a),flip(a)]. given #178 (H,wt=6): 335 a(x,y,1) = 1. [hyper(34,a,332,a)]. given #179 (H,wt=8): 336 a(x,y,K(1,z)) = 1. [para(155(a,2),335(a,1,3))]. given #180 (H,wt=9): 333 L(1,x,y) != z | 1 = z. [para(105(a,1),158(a,1))]. given #181 (H,wt=12): 112 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. given #182 (H,wt=6): 337 R(1,x,y) = 1. [hyper(300,a,112,a),flip(a)]. given #183 (H,wt=9): 338 R(1,x,y) != z | 1 = z. [para(112(a,1),300(a,1))]. given #184 (H,wt=12): 113 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. given #185 (H,wt=10): 340 (x * y) / y = R(x,1,y). [para(12(a,1),113(a,1,1,1))]. given #186 (H,wt=6): 341 R(x,1,y) = x. [hyper(308,a,340,a),flip(a)]. given #187 (H,wt=9): 342 R(x,1,y) != z | z = x. [para(340(a,1),299(a,1))]. given #188 (H,wt=12): 114 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. given #189 (H,wt=10): 344 (x * y) / y = R(x,y,1). [para(12(a,1),114(a,1,2))]. given #190 (H,wt=6): 345 R(x,y,1) = x. [hyper(308,a,344,a),flip(a)]. given #191 (H,wt=9): 346 R(x,y,1) != z | z = x. [para(344(a,1),299(a,1))]. given #192 (H,wt=12): 156 ((1 / x) * x) * y != z | z = y. [para(16(a,2),76(a,1,1))]. given #193 (H,wt=12): 160 ((1 / x) * x) * y != z | y = z. [para(16(a,2),77(a,1,1))]. given #194 (H,wt=12): 164 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),85(a,1,2))]. given #195 (H,wt=12): 165 x * ((1 / y) * y) != z | z = x. [para(16(a,2),85(a,1,2))]. given #196 (H,wt=12): 167 x / (y * (y \ 1)) != z | z = x. [para(14(a,2),157(a,1,2))]. given #197 (H,wt=12): 168 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),159(a,1,1))]. given #198 (H,wt=12): 171 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. given #199 (H,wt=12): 172 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. given #200 (H,wt=12): 183 x * y != z * x | T(z,x) = y. [para(122(a,1),19(a,1)),flip(a)]. given #201 (H,wt=10): 367 x * y != x | T(1,x) = y. [para(11(a,1),183(a,2))]. given #202 (H,wt=12): 184 x * T(y,x) != z * x | z = y. [para(122(a,2),20(a,2)),flip(a)]. given #203 (H,wt=12): 216 x * y != z | T(z / x,x) = y. [para(181(a,1),19(a,1)),flip(a)]. given #204 (H,wt=12): 218 x * y != z | T(x,y) = y \ z. [para(122(a,1),81(a,1)),flip(b)]. given #205 (H,wt=12): 222 x * 1 != y * z | y \ x = z. [para(221(a,1),19(a,1))]. given #206 (H,wt=12): 225 x * 1 != y * z | x / z = y. [para(223(a,1),20(a,1))]. given #207 (H,wt=12): 231 x * T(y,x) != z | y * x = z. [para(32(a,2),224(a,1,2)),flip(b)]. given #208 (H,wt=12): 232 x * y != z | y * T(x,y) = z. [para(178(a,1),224(a,1,2)),flip(b)]. given #209 (H,wt=12): 252 1 * x != y * z | x / z = y. [para(248(a,1),20(a,1))]. given #210 (H,wt=12): 254 x \ (y * x) != z | T(y,x) = z. [para(122(a,1),241(a,1,2)),flip(b)]. given #211 (H,wt=12): 255 x \ (y * T(x,y)) != z | z = y. [para(122(a,2),241(a,1,2))]. given #212 (H,wt=12): 256 T((x * y) / x,x) != z | z = y. [para(124(a,2),241(a,1))]. given #213 (H,wt=12): 258 x \ (y * (y \ x)) != z | 1 = z. [para(221(a,2),241(a,1,2)),flip(b)]. given #214 (H,wt=12): 301 (x * T(y,x)) / x != z | z = y. [para(178(a,1),298(a,1,2))]. given #215 (H,wt=12): 302 (1 * x) / y != z | x / y = z. [para(248(a,1),299(a,1,1)),flip(b)]. given #216 (H,wt=12): 353 L(x \ 1,x,1 / x) = 1 / x. [hyper(240,a,130,a(flip),b,171,a)]. given #217 (H,wt=12): 355 (x * y) * L(y \ 1,y,x) = x. [para(171(a,2),14(a,1,2))]. given #218 (H,wt=12): 360 x / L(y \ 1,y,x) = x * y. [para(171(a,2),62(a,1,2))]. given #219 (H,wt=12): 361 R(1 / x,x,x \ 1) = x \ 1. [hyper(240,a,133,a(flip),b,172,a)]. given #220 (H,wt=12): 366 R(1 / x,x,y) \ y = x * y. [para(172(a,2),65(a,1,1))]. given #221 (H,wt=12): 375 x \ x != y * z | y \ 1 = z. [para(138(a,2),222(a,1))]. given #222 (H,wt=12): 379 x * y != z | (1 * z) / y = x. [para(49(a,1),225(a,1)),flip(a)]. given #223 (H,wt=12): 380 x \ x != y * z | 1 / z = y. [para(138(a,2),225(a,1))]. given #224 (H,wt=12): 387 T(x / y,y) != z | y \ x = z. [para(14(a,1),256(a,1,1,1)),flip(b)]. given #225 (H,wt=13): 73 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. given #226 (H,wt=13): 75 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. given #227 (H,wt=13): 99 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. given #228 (H,wt=13): 100 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. given #229 (H,wt=13): 101 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. given #230 (H,wt=13): 102 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. given #231 (H,wt=13): 175 x * (y * T(z,y)) = x * (z * y). [hyper(21,a,122,a)]. given #232 (H,wt=13): 180 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),122(a,1,2))]. given #233 (H,wt=13): 191 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),122(a,1,2))]. given #234 (H,wt=13): 194 T(T(x / y,z),y) = T(y \ x,z). [para(124(a,1),38(a,1,1)),flip(a)]. given #235 (H,wt=13): 210 (x * y) / T(y,T(x,y)) = T(x,y). [para(122(a,1),143(a,1,1))]. given #236 (H,wt=13): 212 T(T((x * y) / x,z),x) = T(y,z). [para(176(a,1),38(a,1,1)),flip(a)]. given #237 (H,wt=13): 214 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),177(a,1,1,2))]. given #238 (H,wt=13): 263 x * K(y \ x,y) = (y \ x) * y. [hyper(240,a,93,a(flip),b,98,a(flip)),flip(a)]. given #239 (H,wt=13): 264 x * K(y,x / y) = y * (x / y). [hyper(240,a,92,a(flip),b,98,a(flip)),flip(a)]. given #240 (H,wt=13): 275 x / K(y,y \ x) = (y \ x) * y. [para(14(a,1),141(a,1,1))]. given #241 (H,wt=13): 284 T(x / (x / y),y) = x / (x / y). [para(197(a,1),205(a,1,2))]. given #242 (H,wt=13): 285 x * T(x \ 1,x) = K(x \ 1,x). [hyper(240,a,122,a,b,198,a),flip(a)]. given #243 (H,wt=13): 428 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(240,a,198,a,b,275,a)]. given #244 (H,wt=14): 80 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. given #245 (H,wt=14): 83 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. given #246 (H,wt=14): 87 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. given #247 (H,wt=14): 89 ((x * y) * z) / z != u * y | u = x. [para(15(a,2),20(a,2)),flip(a)]. given #248 (H,wt=12): 431 x / x != y * z | 1 / z = y. [para(63(a,1),89(a,1,1)),flip(b)]. given #249 (H,wt=14): 106 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. given #250 (H,wt=12): 433 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,180,a(flip),b,106,a)]. given #251 (H,wt=14): 108 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. given #252 (H,wt=14): 118 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. given #253 (H,wt=14): 119 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. given #254 (H,wt=14): 142 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. given #255 (H,wt=14): 148 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. given #256 (H,wt=14): 169 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(55(a,1),30(a,2,1))]. given #257 (H,wt=14): 174 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(64(a,1),28(a,2,2))]. given #258 (H,wt=14): 199 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(129(a,1),28(a,2)),flip(a)]. given #259 (H,wt=14): 202 (1 / x) * (x * y) = L(y,x,1 / x). [para(130(a,1),28(a,2)),flip(a)]. given #260 (H,wt=14): 203 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(133(a,1),30(a,2)),flip(a)]. given #261 (H,wt=14): 220 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),57(a,1,2,2))]. given #262 (H,wt=14): 235 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. given #263 (H,wt=14): 238 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),30(a,2,1))]. given #264 (H,wt=14): 262 ((x / y) * y) * z != u | x \ u = z. [para(92(a,2),81(a,1))]. given #265 (H,wt=14): 265 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),19(a,1)),flip(a)]. given #266 (H,wt=14): 266 (x * y) * K(y,x) != y * z | z = x. [para(98(a,2),19(a,2)),flip(a)]. given #267 (H,wt=14): 269 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),241(a,1,2)),flip(b)]. given #268 (H,wt=14): 278 ((x / y) \ x) * z != u | y \ u = z. [para(145(a,2),81(a,1))]. given #269 (H,wt=14): 280 (x \ y) * z != y | T(x,x \ y) = z. [para(179(a,1),19(a,1)),flip(a)]. given #270 (H,wt=14): 282 (x \ y) \ y != z | T(x,x \ y) = z. [para(179(a,1),241(a,1,2)),flip(b)]. given #271 (H,wt=14): 287 K(x \ 1,x) != y * x | x \ 1 = y. [para(198(a,2),20(a,1))]. given #272 (H,wt=14): 291 T(x,y) * x != x * z | T(x,y) = z. [para(206(a,2),19(a,1))]. given #273 (H,wt=14): 294 (x / y) * y != z * u | z \ x = u. [para(228(a,2),19(a,1))]. given #274 (H,wt=12): 519 1 * x != y * z | y \ x = z. [para(59(a,1),294(a,1,1))]. given #275 (H,wt=14): 295 x * (x \ y) != z * u | y / u = z. [para(228(a,1),20(a,1))]. given #276 (H,wt=14): 296 (x / y) \ x != z * u | z \ y = u. [para(244(a,2),19(a,1))]. given #277 (H,wt=14): 297 x / (y \ x) != z * u | y / u = z. [para(245(a,2),20(a,1))]. given #278 (H,wt=14): 303 (x * y) / y != z | (x / u) * u = z. [para(92(a,1),299(a,1,1)),flip(b)]. given #279 (H,wt=14): 305 (x * (x \ y)) \ z != u | y \ z = u. [para(246(a,1),250(a,1,1)),flip(b)]. given #280 (H,wt=14): 306 (x * y) / y != z * u | x / u = z. [para(247(a,2),20(a,1))]. given #281 (H,wt=14): 307 ((x / y) * y) * z != u | x * z = u. [para(247(a,1),226(a,1,1)),flip(b)]. given #282 (H,wt=14): 309 x \ (x * y) != z * u | z \ y = u. [para(249(a,2),19(a,1))]. given #283 (H,wt=14): 310 x * (y * (y \ z)) != u | x * z = u. [para(249(a,1),224(a,1,2)),flip(b)]. given #284 (H,wt=14): 314 x * ((y / z) \ y) != u | u / z = x. [para(279(a,1),20(a,1)),flip(a)]. given #285 (H,wt=14): 316 (x \ 1) * x != y | K(x \ 1,x) = y. [para(286(a,1),224(a,1,2)),flip(b)]. given #286 (H,wt=14): 317 x * y != z | ((z / u) * u) / y = x. [para(292(a,1),88(a,1,2)),flip(b)]. given #287 (H,wt=14): 348 x * (1 / x) != y | K(x,1 / x) = y. [para(98(a,1),156(a,1)),flip(b)]. given #288 (H,wt=14): 349 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),168(a,1)),flip(b)]. given #289 (H,wt=14): 351 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(260,a,xx,b,171,a)]. given #290 (H,wt=14): 352 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(240,a,304,a(flip),b,171,a)]. given #291 (H,wt=11): 548 K((x \ y) \ 1,y \ x) = 1. [para(352(a,1),274(a,1,2))]. given #292 (H,wt=11): 549 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),548(a,1,2))]. given #293 (H,wt=14): 356 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),171(a,2,1))]. given #294 (H,wt=14): 362 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),172(a,2,2))]. given #295 (H,wt=14): 363 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),172(a,2,2))]. given #296 (H,wt=14): 376 x * (x \ y) != z * u | z \ y = u. [para(221(a,2),222(a,1))]. given #297 (H,wt=14): 381 (x / y) * y != z * u | x / u = z. [para(223(a,2),225(a,1))]. given #298 (H,wt=14): 388 ((x / y) * y) / z != u | x / z = u. [para(248(a,2),302(a,1,1))]. given #299 (H,wt=14): 391 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),360(a,1,2,1))]. given #300 (H,wt=14): 393 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),366(a,1,1,1))]. given #301 (H,wt=14): 396 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),387(a,1,1))]. given #302 (H,wt=14): 398 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(73,a,30,a,b,133,a(flip))]. given #303 (H,wt=14): 399 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(73,a,28,a,b,129,a(flip))]. given #304 (H,wt=14): 402 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(75,a,30,a,b,133,a(flip))]. given #305 (H,wt=14): 403 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(75,a,28,a,b,129,a(flip))]. given #306 (H,wt=14): 405 K(x \ 1,x) != y | (x \ 1) * x = y. [para(99(a,1),159(a,1)),flip(b)]. given #307 (H,wt=14): 421 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(214(a,1),256(a,1,1)),flip(b)]. given #308 (H,wt=14): 430 x \ (x * y) != z * u | y / u = z. [para(16(a,1),87(a,1,2,2)),flip(b)]. given #309 (H,wt=14): 434 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(17,a,58,a(flip),b,106,a)]. given #310 (H,wt=14): 455 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(240,a,130,a(flip),b,108,a)]. given #311 (H,wt=14): 456 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(240,a,129,a(flip),b,108,a)]. given #312 (H,wt=14): 467 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(165,a,118,a)]. given #313 (H,wt=14): 469 R(x / y,y,z) \ (x * z) = y * z. [hyper(73,a,92,a(flip),b,118,a)]. given #314 (H,wt=14): 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(240,a,133,a(flip),b,119,a)]. given #315 (H,wt=14): 506 x / K(x \ 1,x) = R(x,x \ 1,x). [para(198(a,2),169(a,2,2)),flip(a)]. given #316 (H,wt=14): 507 K(x,1 / x) \ x = L(x,1 / x,x). [para(201(a,2),174(a,2,1)),flip(a)]. given #317 (H,wt=14): 517 x * y != z * u | z \ (x * y) = u. [para(15(a,1),294(a,1,1))]. given #318 (H,wt=12): 581 x * y != z | x \ (z * 1) = y. [para(12(a,1),517(a,1)),flip(a)]. given #319 (H,wt=14): 521 x * y != z | x \ (u * (u \ z)) = y. [para(67(a,1),294(a,1)),flip(a)]. given #320 (H,wt=14): 523 (x * y) / y != z * u | z \ x = u. [para(247(a,2),294(a,1))]. given #321 (H,wt=14): 532 (x / y) \ x != z * u | y / u = z. [para(244(a,2),295(a,1))]. given #322 (H,wt=14): 539 (x / (y \ x)) \ z != u | y \ z = u. [para(246(a,2),305(a,1,1))]. given #323 (H,wt=14): 541 (x * (x \ y)) * z != u | y * z = u. [para(62(a,1),307(a,1,1,1))]. given #324 (H,wt=14): 542 (x / (y \ x)) * z != u | y * z = u. [para(245(a,2),307(a,1,1))]. given #325 (H,wt=14): 575 R(x / (1 / y),1 / y,y) = x * y. [hyper(307,a,467,a),flip(a)]. given #326 (H,wt=14): 580 K(x,1 / x) * L(x,1 / x,x) = x. [para(507(a,1),14(a,1,2))]. given #327 (H,wt=14): 585 ((x / y) \ x) * z != u | y * z = u. [para(244(a,2),541(a,1,1))]. given #328 (H,wt=15): 125 x * T(T(y,z),u) = x * T(T(y,u),z). [hyper(21,a,38,a)]. given #329 (H,wt=15): 182 x * y != z | y * u != z | T(x,y) = u. [para(122(a,1),17(a,1)),flip(c)]. given #330 (H,wt=12): 590 L(T(x,y),y,x) = T(x,x * y). [hyper(182,a,175,a(flip),b,106,a),flip(a)]. given #331 (H,wt=12): 591 T(L(x,y,x),y) = T(x,x * y). [hyper(240,a,40,a(flip),b,590,a(flip)),flip(a)]. given #332 (H,wt=13): 589 T(x / y,(z / y) \ z) = y \ x. [hyper(182,a,279,a,b,276,a)]. given #333 (H,wt=14): 593 x * T(y,y * x) = L(y,x,y) * x. [para(591(a,1),122(a,1,2))]. given #334 (H,wt=14): 594 (x * T(y,y * x)) / x = L(y,x,y). [para(591(a,1),177(a,1,1,2))]. given #335 (H,wt=15): 187 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(122(a,1),26(a,2,1)),flip(a)]. given #336 (H,wt=15): 192 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),122(a,1,2))]. given #337 (H,wt=15): 193 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),122(a,1,2))]. given #338 (H,wt=13): 610 R(x,y,z) * x = x * R(x,y,z). [para(121(a,1),193(a,1,2,1)),flip(a)]. given #339 (H,wt=8): 616 T(x,R(x,y,z)) = x. [hyper(183,a,610,a)]. given #340 (H,wt=8): 618 K(R(x,y,z),x) = 1. [hyper(72,a,610,a(flip),b,98,a),flip(a)]. given #341 (H,wt=13): 617 (x * R(x,y,z)) / x = R(x,y,z). [hyper(90,a,610,a)]. given #342 (H,wt=13): 619 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),616(a,1,2))]. given #343 (H,wt=15): 195 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(124(a,1),40(a,1,1)),flip(a)]. given #344 (H,wt=15): 196 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(124(a,1),42(a,1,1)),flip(a)]. given #345 (H,wt=14): 622 T(x / (y * x),y) = R(y \ 1,y,x). [para(172(a,1),196(a,1,1))]. given #346 (H,wt=14): 623 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(361(a,1),196(a,1,1)),flip(a)]. given #347 (H,wt=15): 215 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),178(a,1,2,2))]. given #348 (H,wt=15): 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,123,a)]. given #349 (H,wt=15): 271 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,123,a)]. given #350 (H,wt=15): 272 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(123(a,1),38(a,1,1)),flip(a)]. given #351 (H,wt=15): 283 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),197(a,1,2))]. given #352 (H,wt=15): 313 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(209(a,1),276(a,1,1,1))]. given #353 (H,wt=15): 315 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(209(a,1),279(a,1,2,1))]. given #354 (H,wt=15): 390 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(355(a,1),241(a,1,2)),flip(b)]. given #355 (H,wt=15): 394 x / (y * x) != z | R(1 / y,y,x) = z. [para(366(a,1),298(a,1,2)),flip(b)]. given #356 (H,wt=15): 397 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(73,a,123,a,b,14,a)]. given #357 (H,wt=15): 400 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(73,a,123,a(flip),b,16,a)]. given #358 (H,wt=15): 401 x != y | z * u != y | T(z,u) = u \ x. [para(122(a,1),73(b,1)),flip(c)]. given #359 (H,wt=15): 404 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),99(a,2,1)),flip(a)]. given #360 (H,wt=11): 647 K(x \ (x * y),x) = K(y,x). [hyper(240,a,99,a(flip),b,404,a),flip(a)]. given #361 (H,wt=11): 648 K(x \ (x * y),z) = K(y,z). [para(54(a,1),647(a,1,1)),flip(a)]. given #362 (H,wt=11): 649 K((x / y) \ x,z) = K(y,z). [para(16(a,1),648(a,1,1,2))]. given #363 (H,wt=15): 406 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(122(a,2),99(a,1,2))]. given #364 (H,wt=15): 409 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),191(a,1,2,1))]. given #365 (H,wt=15): 411 T(x / y,z) * y = y * T(y \ x,z). [para(124(a,1),191(a,1,2,1)),flip(a)]. given #366 (H,wt=15): 412 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(205(a,1),191(a,1,2,1))]. given #367 (H,wt=15): 413 T((x * y) / x,z) * x = x * T(y,z). [para(176(a,1),191(a,1,2,1)),flip(a)]. given #368 (H,wt=14): 651 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,593,a(flip),b,413,a)]. given #369 (H,wt=15): 414 (x * T(x \ y,z)) / x = T(y / x,z). [para(194(a,1),177(a,1,1,2))]. given #370 (H,wt=15): 416 (x * T(y,z)) / x = T((x * y) / x,z). [para(212(a,1),177(a,1,1,2))]. given #371 (H,wt=15): 496 R(1 / x,x,y) != z | y / (x * y) = z. [para(119(a,2),302(a,1))]. given #372 (H,wt=15): 547 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(352(a,1),273(a,1,2))]. given #373 (H,wt=15): 574 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(456(a,1),273(a,1,2))]. given #374 (H,wt=13): 661 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,574,a)]. given #375 (H,wt=15): 597 T(L(x,y,x),y) != z | T(x,x * y) = z. [para(594(a,1),256(a,1,1)),flip(b)]. given #376 (H,wt=15): 629 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(517,a,270,a)]. given #377 (H,wt=15): 630 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(376,a,270,a),flip(a)]. given #378 (H,wt=15): 637 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(381,a,271,a),flip(a)]. given #379 (H,wt=15): 638 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(240,a,16,a(flip),b,271,a)]. given #380 (H,wt=15): 639 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(75,a,271,a,b,xx)]. given #381 (H,wt=16): 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. given #382 (H,wt=16): 107 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. given #383 (H,wt=16): 109 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. given #384 (H,wt=16): 110 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. given #385 (H,wt=16): 115 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. given #386 (H,wt=16): 117 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(14(a,1),30(a,2,2)),flip(a)]. given #387 (H,wt=16): 120 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. given #388 (H,wt=16): 140 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. given #389 (H,wt=16): 170 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(56(a,1),24(a,2,1)),flip(a)]. given #390 (H,wt=15): 678 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(203(a,1),170(a,1,2))]. given #391 (H,wt=15): 679 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(678(a,1),14(a,1,2))]. given #392 (H,wt=16): 173 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. given #393 (H,wt=15): 682 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(467(a,1),173(a,1,2))]. given #394 (H,wt=16): 189 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(122(a,1),28(a,2,2,2)),flip(a)]. given #395 (H,wt=16): 268 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),30(a,2,1)),flip(a)]. given #396 (H,wt=16): 311 R(x,y / z,z) * y = (x * (y / z)) * z. [para(30(a,2),253(a,1,1))]. given #397 (H,wt=16): 312 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),261(a,1,1))]. given #398 (H,wt=16): 354 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,171,a)]. given #399 (H,wt=16): 357 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(171(a,1),40(a,2,1)),flip(a)]. given #400 (H,wt=16): 364 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(172(a,1),42(a,2,1)),flip(a)]. given #401 (H,wt=16): 368 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(122(a,1),183(a,2))]. given #402 (H,wt=16): 369 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(91(a,2),183(a,2)),flip(a)]. given #403 (H,wt=16): 370 x * T(x,y) != x * z | T(T(x,y),x) = z. [para(206(a,1),183(a,2)),flip(a)]. given #404 (H,wt=16): 371 x \ (x * y) != z * u | T(z,u) = u \ y. [para(249(a,2),183(a,1))]. given #405 (H,wt=16): 373 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),184(a,1,2)),flip(b)]. given #406 (H,wt=16): 374 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),222(a,1,2))]. given #407 (H,wt=16): 377 x * (y * (y \ 1)) != z * u | x / u = z. [para(14(a,2),225(a,1,2))]. given #408 (H,wt=16): 378 x * ((1 / y) * y) != z * u | x / u = z. [para(16(a,2),225(a,1,2))]. given #409 (H,wt=16): 382 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),231(a,1,2))]. given #410 (H,wt=16): 385 (x * (x \ 1)) * y != z * u | y / u = z. [para(14(a,2),252(a,1,1))]. given #411 (H,wt=16): 386 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),252(a,1,1))]. given #412 (H,wt=16): 392 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(360(a,1),277(a,1,2,1,1))]. given #413 (H,wt=16): 395 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(304(a,1),375(a,1))]. given #414 (H,wt=16): 407 x * K(y \ x,y) != z | (y \ x) * y = z. [para(99(a,1),224(a,1,2)),flip(b)]. given #415 (H,wt=16): 408 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(180(a,1),28(a,2,2))]. given #416 (H,wt=12): 700 K(x,y) = L(x \ T(x,y),x,y). [hyper(240,a,26,a,b,408,a),flip(a)]. given #417 (H,wt=15): 702 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(408(a,2),269(a,1))]. given #418 (H,wt=16): 422 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),19(a,1))]. given #419 (H,wt=16): 424 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),241(a,1,2)),flip(b)]. given #420 (H,wt=16): 426 x * (y / x) != y * z | K(x,y / x) = z. [para(264(a,1),19(a,1))]. given #421 (H,wt=16): 427 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),241(a,1,2)),flip(b)]. given #422 (H,wt=16): 429 x \ (y * x) != z * u | z \ T(y,x) = u. [para(180(a,1),80(a,1,2)),flip(b)]. given #423 (H,wt=16): 432 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(75,a,175,a(flip),b,106,a)]. given #424 (H,wt=16): 435 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(240,a,93,a(flip),b,106,a(flip)),flip(a)]. given #425 (H,wt=16): 436 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(240,a,92,a(flip),b,106,a(flip)),flip(a)]. given #426 (H,wt=14): 712 L(x \ y,x,y / x) = T(y / x,y). [hyper(182,a,91,a(flip),b,436,a),flip(a)]. given #427 (H,wt=16): 454 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(240,a,304,a(flip),b,108,a)]. given #428 (H,wt=16): 458 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),108(a,2,1))]. given #429 (H,wt=16): 459 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),108(a,2,2))]. given #430 (H,wt=16): 464 x / L(y \ z,y,x / z) = (x / z) * y. [para(108(a,2),293(a,1,2))]. given #431 (H,wt=16): 468 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(73,a,93,a(flip),b,118,a)]. given #432 (H,wt=16): 489 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),119(a,2,1))]. given #433 (H,wt=16): 490 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),119(a,2,2))]. given #434 (H,wt=16): 491 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),119(a,2,2))]. given #435 (H,wt=16): 493 R(x / y,y,x \ z) \ z = y * (x \ z). [para(119(a,2),236(a,1,1))]. given #436 (H,wt=16): 501 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),142(a,1,1,2))]. given #437 (H,wt=16): 520 x * T(y,x) != z * u | z \ (y * x) = u. [para(143(a,1),294(a,1,1))]. given #438 (H,wt=16): 525 (x * (x \ 1)) * y != z * u | z \ y = u. [para(14(a,2),519(a,1,1))]. given #439 (H,wt=16): 526 ((1 / x) * x) * y != z * u | z \ y = u. [para(16(a,2),519(a,1,1))]. given #440 (H,wt=16): 530 x * T(y,x) != z * u | (y * x) / u = z. [para(32(a,2),295(a,1,2))]. given #441 (H,wt=16): 535 x \ (y * T(x,y)) != z * u | z \ y = u. [para(177(a,1),296(a,1,1))]. given #442 (H,wt=16): 540 (1 * x) / y != z * u | (x / y) / u = z. [para(248(a,1),306(a,1,1))]. given #443 (H,wt=16): 544 x * (y * T(z,y)) != u | x * (z * y) = u. [para(32(a,2),310(a,1,2,2))]. given #444 (H,wt=16): 546 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(122(a,2),316(a,1))]. given #445 (H,wt=16): 567 T((x * y) / x,x) != z * u | y / u = z. [para(124(a,2),430(a,1))]. given #446 (H,wt=16): 583 (x * T(y,x)) / x != z * u | z \ y = u. [para(122(a,2),523(a,1,1))]. given #447 (H,wt=16): 624 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(119(a,1),196(a,1,1))]. given #448 (H,wt=16): 625 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(238(a,1),196(a,1,1)),flip(a)]. given #449 (H,wt=16): 627 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),196(a,1,1)),flip(a)]. given #450 (H,wt=16): 628 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(622(a,1),122(a,1,2)),flip(a)]. given #451 (H,wt=16): 655 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(414(a,1),256(a,1,1)),flip(b)]. given #452 (H,wt=16): 660 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(416(a,1),256(a,1,1)),flip(b)]. given #453 (H,wt=16): 667 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(56(a,1),94(a,1,1))]. given #454 (H,wt=16): 683 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(240,a,40,a(flip),b,189,a)]. given #455 (H,wt=16): 691 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(387,a,364,a),flip(a)]. given #456 (H,wt=16): 697 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(81,a,392,a)]. given #457 (H,wt=16): 728 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),624(a,2,1)),flip(a)]. given #458 (H,wt=12): 741 T(R(x,y,x),y * x) = T(x,y). [para(728(a,2),212(a,1,1))]. given #459 (H,wt=12): 742 R(T(x,y * x),y,x) = T(x,y). [hyper(240,a,42,a,b,741,a(flip)),flip(a)]. given #460 (H,wt=14): 745 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),742(a,1,1,2))]. given #461 (H,wt=12): 747 R(x,1 / x,x) = T(x,1 / x). [para(150(a,1),745(a,1,1))]. given #462 (H,wt=13): 748 T(x,1 / x) / x = x * (1 / x). [hyper(75,a,747,a(flip),b,467,a)]. given #463 (H,wt=13): 751 T(x,1 / x) / x = K(x,1 / x). [hyper(240,a,201,a,b,748,a)]. given #464 (H,wt=16): 732 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),627(a,1,1)),flip(a)]. given #465 (H,wt=16): 738 T(L(x,y,1 / y),y) = (1 / y) * (x * y). [hyper(168,a,683,a)]. given #466 (H,wt=16): 749 R(T(x,y),1 / x,x) = T(T(x,1 / x),y). [para(747(a,1),42(a,2,1))]. given #467 (H,wt=16): 752 (x * (1 / x)) * x != y | T(x,1 / x) = y. [para(748(a,1),226(a,1,1)),flip(b)]. given #468 (H,wt=17): 126 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 #469 (H,wt=17): 127 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 #470 (H,wt=17): 230 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),224(a,1,2)),flip(b)]. given #471 (H,wt=17): 233 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),226(a,1,1)),flip(b)]. given #472 (H,wt=17): 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),168(a,1)),flip(b)]. given #473 (H,wt=17): 410 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),191(a,1,2,1))]. given #474 (H,wt=17): 438 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(106(a,1),19(a,1)),flip(a)]. given #475 (H,wt=17): 439 (x * y) * L(z,y,x) != x * u | y * z = u. [para(106(a,2),19(a,1))]. given #476 (H,wt=17): 449 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(106(a,1),241(a,1,2)),flip(b)]. given #477 (H,wt=15): 768 x \ (1 * (x * y)) != z | L(y,x,1) = z. [para(11(a,1),449(a,1,1))]. given #478 (H,wt=17): 452 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(106(a,1),156(a,1)),flip(b)]. given #479 (H,wt=17): 472 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(118(a,1),20(a,1))]. given #480 (H,wt=17): 473 R(x,y,z) * (y * z) != u * z | x * y = u. [para(118(a,2),20(a,1))]. given #481 (H,wt=17): 483 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(118(a,1),299(a,1,1)),flip(b)]. given #482 (H,wt=17): 484 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(118(a,2),299(a,1,1)),flip(b)]. given #483 (H,wt=17): 485 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(118(a,1),164(a,1)),flip(b)]. given #484 (H,wt=17): 494 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(119(a,2),167(a,1)),flip(b)]. given #485 (H,wt=17): 510 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(199(a,1),241(a,1,2)),flip(b)]. given #486 (H,wt=17): 514 R(x,y,y \ 1) / (y \ 1) != z | x * y = z. [para(203(a,1),299(a,1,1)),flip(b)]. given #487 (H,wt=17): 545 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(199(a,1),310(a,1))]. given #488 (H,wt=17): 560 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(119(a,2),388(a,1))]. given #489 (H,wt=17): 561 (x * (1 / y)) \ x != z | L(y,1 / y,x) = z. [para(391(a,1),250(a,1,1)),flip(b)]. given #490 (H,wt=17): 562 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(393(a,1),298(a,1,2)),flip(b)]. given #491 (H,wt=17): 565 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(399(a,1),224(a,1,2)),flip(b)]. given #492 (H,wt=17): 577 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(469(a,1),298(a,1,2)),flip(b)]. given #493 (H,wt=17): 587 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(580(a,1),19(a,1)),flip(a)]. given #494 (H,wt=17): 596 L(x,y,x) * y != y * z | T(x,x * y) = z. [para(593(a,1),19(a,1))]. given #495 (H,wt=17): 603 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(124(a,1),192(a,1,2,1)),flip(a)]. given #496 (H,wt=16): 784 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(75,a,354,a(flip),b,603,a)]. given #497 (H,wt=17): 604 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(176(a,1),192(a,1,2,1)),flip(a)]. given #498 (H,wt=17): 611 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(124(a,1),193(a,1,2,1)),flip(a)]. given #499 (H,wt=17): 612 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(134(a,1),193(a,1,2,1)),flip(a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 773 (0.00 of 17.97 sec). given #500 (H,wt=10): 791 T(x,R(T(x,y),z,u)) = x. [hyper(183,a,612,a)]. given #501 (H,wt=17): 613 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(176(a,1),193(a,1,2,1)),flip(a)]. given #502 (H,wt=17): 620 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(195(a,1),177(a,1,1,2))]. given #503 (H,wt=16): 803 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(700(a,2),620(a,1,1,2)),flip(a)]. given #504 (H,wt=17): 621 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(196(a,1),177(a,1,1,2))]. given #505 (H,wt=17): 643 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),390(a,1,1))]. given #506 (H,wt=17): 657 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(416(a,2),122(a,1,2))]. given #507 (H,wt=17): 658 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(124(a,1),416(a,1,1,2)),flip(a)]. given #508 (H,wt=17): 716 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(458(a,2),254(a,1))]. given #509 (H,wt=17): 719 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(490(a,2),302(a,1))]. given #510 (H,wt=17): 731 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(240,a,203,a,b,627,a(flip)),flip(a)]. given #511 (H,wt=17): 746 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(742(a,1),118(a,1,1)),flip(a)]. given #512 (H,wt=17): 754 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [para(455(a,1),738(a,1,1)),flip(a)]. given #513 (H,wt=17): 755 T(T(x,1 / x),y) / x = T(x,y) * (1 / x). [hyper(75,a,749,a(flip),b,467,a)]. given #514 (H,wt=17): 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(240,a,42,a,b,127,a),flip(a)]. given #515 (H,wt=17): 769 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(14(a,1),449(a,1,2,2))]. given #516 (H,wt=17): 771 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(58(a,1),449(a,1,2))]. given #517 (H,wt=17): 781 R(x / y,y,z) != u | (x * z) / (y * z) = u. [para(15(a,1),560(a,1,1,1))]. given #518 (H,wt=17): 782 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(198(a,2),565(a,1,2))]. given #519 (H,wt=17): 785 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(90,a,604,a),flip(a)]. given #520 (H,wt=17): 793 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(90,a,613,a),flip(a)]. given #521 (H,wt=17): 794 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(81,a,613,a)]. given #522 (H,wt=18): 95 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. given #523 (H,wt=18): 96 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. given #524 (H,wt=18): 97 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. given #525 (H,wt=18): 111 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(16(a,1),28(a,2,2))]. given #526 (H,wt=18): 116 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. given #527 (H,wt=18): 188 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(122(a,1),28(a,2,1)),flip(a)]. given #528 (H,wt=18): 190 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(122(a,1),30(a,2,1,1)),flip(a)]. given #529 (H,wt=18): 200 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(130(a,1),24(a,2)),flip(a)]. given #530 (H,wt=18): 234 x * (y * (y \ (x \ (z * u)))) != z * w | w = u. [para(58(a,2),19(a,2)),flip(a)]. given #531 (H,wt=18): 289 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(198(a,2),30(a,2,1,1)),flip(a)]. given #532 (H,wt=18): 318 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),293(a,1,2))]. given #533 (H,wt=18): 358 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(171(a,1),44(a,1,1))]. given #534 (H,wt=18): 359 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(171(a,1),45(a,1,1)),flip(a)]. given #535 (H,wt=17): 832 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(353(a,1),359(a,1,1)),flip(a)]. given #536 (H,wt=18): 365 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(172(a,1),46(a,1,1)),flip(a)]. given #537 (H,wt=18): 383 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),231(a,1,2))]. given #538 (H,wt=18): 384 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),231(a,1,2))]. given #539 (H,wt=18): 415 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(194(a,1),231(a,1,2))]. given #540 (H,wt=18): 418 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(212(a,1),184(a,1,2)),flip(b)]. given #541 (H,wt=18): 419 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(212(a,1),301(a,1,1,2)),flip(b)]. given #542 (H,wt=18): 445 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),106(a,1,2))]. given #543 (H,wt=18): 448 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(122(a,1),106(a,1,1))]. given #544 (H,wt=18): 457 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(240,a,101,a(flip),b,108,a)]. given #545 (H,wt=18): 461 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(108(a,1),40(a,2,1)),flip(a)]. given #546 (H,wt=18): 462 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(122(a,1),108(a,2,1))]. given #547 (H,wt=18): 463 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(201(a,2),108(a,2,2))]. given #548 (H,wt=18): 470 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(240,a,175,a(flip),b,118,a(flip)),flip(a)]. given #549 (H,wt=18): 477 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),118(a,1,1))]. given #550 (H,wt=18): 492 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(119(a,2),124(a,1,1))]. given #551 (H,wt=18): 503 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(122(a,1),148(a,1,2,1))]. given #552 (H,wt=18): 509 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(240,a,175,a(flip),b,199,a(flip))]. given #553 (H,wt=18): 513 R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). [hyper(240,a,93,a(flip),b,203,a(flip))]. given #554 (H,wt=18): 516 ((x \ y) \ y) * z != u | T(x,x \ y) \ u = z. [para(209(a,1),278(a,1,1,1))]. given #555 (H,wt=18): 522 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(247(a,1),294(a,1,1))]. given #556 (H,wt=18): 528 (x * y) * K(y,x) != z * u | (y * x) / u = z. [para(26(a,2),295(a,1,2))]. given #557 (H,wt=18): 531 (x \ y) * T(x,x \ y) != z * u | y / u = z. [para(122(a,2),295(a,1))]. given #558 (H,wt=18): 533 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(249(a,1),295(a,1,2))]. given #559 (H,wt=18): 536 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(209(a,1),296(a,1,1))]. given #560 (H,wt=18): 537 (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. [para(246(a,1),296(a,1,1))]. given #561 (H,wt=18): 543 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),309(a,1,2))]. given #562 (H,wt=18): 550 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(356(a,1),40(a,2,1)),flip(a)]. given #563 (H,wt=18): 551 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(362(a,1),42(a,2,1)),flip(a)]. given #564 (H,wt=16): 857 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(387,a,551,a),flip(a)]. given #565 (H,wt=18): 553 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),376(a,1,2))]. given #566 (H,wt=18): 555 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(249(a,1),376(a,1,2))]. given #567 (H,wt=18): 557 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),381(a,1,1))]. given #568 (H,wt=18): 558 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(247(a,1),381(a,1,1))]. given #569 (H,wt=18): 570 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(455(a,1),40(a,2,1))]. given #570 (H,wt=18): 572 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(456(a,1),40(a,2,1))]. given #571 (H,wt=18): 578 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),42(a,2,1))]. given #572 (H,wt=18): 582 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(93(a,2),517(a,1))]. given #573 (H,wt=18): 586 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(575(a,1),42(a,2,1))]. given #574 (H,wt=18): 588 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(209(a,1),585(a,1,1,1))]. given #575 (H,wt=18): 592 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(590(a,1),44(a,1,1)),flip(a)]. given #576 (H,wt=18): 595 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),593(a,1,2,2)),flip(a)]. given #577 (H,wt=18): 599 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(240,a,106,a(flip),b,192,a(flip)),flip(a)]. given #578 (H,wt=18): 600 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(192(a,1),19(a,1))]. given #579 (H,wt=18): 607 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(240,a,118,a(flip),b,193,a)]. given #580 (H,wt=13): 873 (x * y) * T(y,x) = (y * x) * y. [para(742(a,1),607(a,1,2))]. given #581 (H,wt=13): 875 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(73,a,55,a(flip),b,873,a)]. given #582 (H,wt=13): 876 K(x \ 1,x) \ x = T(x,x \ 1). [para(198(a,2),875(a,1,1))]. given #583 (H,wt=13): 877 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,876,a)]. given #584 (H,wt=13): 878 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(877(a,1),14(a,1,2))]. given #585 (H,wt=15): 874 (x * (y / x)) * x = y * T(x,y / x). [hyper(307,a,873,a),flip(a)]. given #586 (H,wt=18): 608 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(73,a,118,a(flip),b,193,a)]. given #587 (H,wt=18): 609 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(193(a,1),19(a,1))]. given #588 (H,wt=18): 626 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(363(a,1),196(a,1,1)),flip(a)]. given #589 (H,wt=18): 646 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(400(a,1),539(a,1))]. given #590 (H,wt=18): 653 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(651(a,1),38(a,1,1)),flip(a)]. given #591 (H,wt=18): 654 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(414(a,1),226(a,1,1)),flip(b)]. given #592 (H,wt=18): 659 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(416(a,1),226(a,1,1)),flip(b)]. given #593 (H,wt=18): 662 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(639(a,1),226(a,1,1)),flip(b)]. given #594 (H,wt=18): 664 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(75,a,93,a(flip),b,94,a)]. given #595 (H,wt=18): 675 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(115(a,2),236(a,1,1))]. given #596 (H,wt=18): 676 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(115(a,2),292(a,1,1))]. given #597 (H,wt=18): 680 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(679(a,1),241(a,1,2)),flip(b)]. given #598 (H,wt=18): 687 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(240,a,193,a,b,312,a(flip)),flip(a)]. given #599 (H,wt=18): 688 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(13(a,1),312(a,1,1,3))]. given #600 (H,wt=18): 692 x \ (y * x) != z * u | T(z,u) = u \ T(y,x). [para(122(a,1),371(a,1,2))]. given #601 (H,wt=18): 693 T((x * y) / x,x) != z * u | T(z,u) = u \ y. [para(124(a,2),371(a,1))]. given #602 (H,wt=18): 694 x * (y * (y \ 1)) != z * u | T(z,u) = u \ x. [para(122(a,1),374(a,2)),flip(b)]. given #603 (H,wt=18): 695 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),382(a,1,2,1))]. given #604 (H,wt=18): 703 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(122(a,2),424(a,1,2))]. given #605 (H,wt=18): 705 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(240,a,192,a(flip),b,435,a(flip))]. given #606 (H,wt=18): 720 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(490(a,1),196(a,1,1))]. given #607 (H,wt=18): 739 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),683(a,1,1)),flip(a)]. given #608 (H,wt=18): 750 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(747(a,1),46(a,1,1)),flip(a)]. given #609 (H,wt=18): 753 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(732(a,1),177(a,1,1,2))]. given #610 (H,wt=18): 799 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(620(a,1),256(a,1,1)),flip(b)]. given #611 (H,wt=18): 800 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(108(a,1),620(a,1,1,2))]. given #612 (H,wt=18): 801 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(235(a,1),620(a,1,1,2)),flip(a)]. given #613 (H,wt=18): 802 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(455(a,1),620(a,1,1,2))]. given #614 (H,wt=18): 834 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(350,a,832,a)]. given #615 (H,wt=18): 847 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,413,a,b,470,a),flip(a)]. given #616 (H,wt=18): 850 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(240,a,42,a,b,492,a(flip)),flip(a)]. given #617 (H,wt=18): 855 (x / (y \ x)) \ z != u * w | u \ (y \ z) = w. [para(246(a,2),537(a,1,1))]. given #618 (H,wt=18): 861 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(62(a,1),558(a,1,1,1))]. given #619 (H,wt=18): 879 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(874(a,1),96(a,1,2))]. given #620 (H,wt=18): 881 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(240,a,40,a,b,653,a)]. given #621 (H,wt=19): 229 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(24(a,2),224(a,1,2)),flip(b)]. given #622 (H,wt=19): 420 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(197(a,1),214(a,1,1,2,1))]. given #623 (H,wt=19): 437 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(75,a,106,a(flip),b,122,a)]. given #624 (H,wt=19): 568 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(355(a,1),430(a,1,2))]. given #625 (H,wt=19): 666 (x * (y * z)) * u != (x * y) * z | a(x,y,z) = u. [para(94(a,1),19(a,1)),flip(a)]. given #626 (H,wt=19): 669 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),241(a,1,2)),flip(b)]. given #627 (H,wt=19): 689 (x * y) * (y \ z) != u * z | R(x,y,y \ z) = u. [para(312(a,1),20(a,1))]. given #628 (H,wt=19): 698 L(x \ 1,x,y) \ z != u | ((y * x) \ y) \ z = u. [para(392(a,1),241(a,1,2)),flip(b)]. given #629 (H,wt=19): 704 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(432(a,1),250(a,1,1)),flip(b)]. given #630 (H,wt=19): 706 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(435(a,1),19(a,1))]. given #631 (H,wt=19): 708 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(435(a,1),241(a,1,2)),flip(b)]. given #632 (H,wt=19): 717 x / L(y \ z,y,x / z) != u | (x / z) * y = u. [para(459(a,2),298(a,1,2)),flip(b)]. given #633 (H,wt=19): 718 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(468(a,1),298(a,1,2)),flip(b)]. given #634 (H,wt=19): 776 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(122(a,1),452(a,1,2))]. given #635 (H,wt=19): 783 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(16(a,1),577(a,1,2))]. given #636 (H,wt=19): 806 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(124(a,1),657(a,1,2,1,2)),flip(a)]. given #637 (H,wt=19): 808 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(658(a,1),177(a,1,1,2))]. given #638 (H,wt=19): 809 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(658(a,1),178(a,1,2,2))]. given #639 (H,wt=19): 810 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(263(a,2),731(a,1,1))]. given #640 (H,wt=19): 813 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(124(a,1),757(a,1,1,1)),flip(a)]. given #641 (H,wt=19): 830 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(623(a,1),358(a,2,1))]. given #642 (H,wt=19): 858 R(T(1 / x,y),x,x \ y) != z | y \ (x \ y) = z. [para(551(a,1),387(a,1))]. given #643 (H,wt=19): 863 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(240,a,509,a(flip),b,572,a(flip)),flip(a)]. given #644 (H,wt=19): 864 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(73,a,572,a(flip),b,199,a),flip(a)]. given #645 (H,wt=17): 901 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),864(a,2,2,1))]. given #646 (H,wt=19): 865 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(73,a,572,a(flip),b,509,a(flip))]. given #647 (H,wt=19): 867 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(75,a,578,a(flip),b,203,a)]. given #648 (H,wt=19): 868 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(75,a,586,a(flip),b,467,a),flip(a)]. given #649 (H,wt=19): 886 T((x * y) * (x \ 1),x) != z | R(y,x,x \ 1) = z. [para(753(a,1),256(a,1,1)),flip(b)]. given #650 (H,wt=19): 895 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),808(a,1,1,2,1,2))]. given #651 (H,wt=19): 902 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),864(a,2,2,1))]. given #652 (H,wt=19): 903 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(14(a,1),865(a,1,2,1)),flip(a)]. given #653 (H,wt=19): 905 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(240,a,411,a(flip),b,867,a)]. given #654 (H,wt=17): 912 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),905(a,1,1,1))]. given #655 (H,wt=19): 907 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(659,a,868,a),flip(a)]. given #656 (H,wt=13): 917 (1 / x) * T(x,y) = T(x,y) / x. [para(63(a,1),907(a,1,1,1)),flip(a)]. given #657 (H,wt=13): 919 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(81,a,917,a)]. given #658 (H,wt=17): 916 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(55(a,1),907(a,1,1,1)),flip(a)]. given #659 (H,wt=17): 918 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(401,a,xx,b,917,a),flip(a)]. given #660 (H,wt=17): 922 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [para(917(a,1),420(a,1,1))]. given #661 (H,wt=18): 923 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(643,a,918,a)]. given #662 (H,wt=19): 908 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(654,a,868,a)]. given #663 (H,wt=19): 909 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(81,a,902,a)]. given #664 (H,wt=19): 910 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(75,a,902,a(flip),b,411,a)]. given #665 (H,wt=19): 913 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(905(a,1),16(a,1,1))]. given #666 (H,wt=19): 914 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(16(a,1),905(a,1,1,1)),flip(a)]. given #667 (H,wt=17): 930 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(231,a,914,a)]. given #668 (H,wt=19): 915 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(907(a,1),16(a,1,1)),flip(a)]. given #669 (H,wt=19): 925 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),908(a,2,1,1))]. given #670 (H,wt=19): 929 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),913(a,1,1,2,1)),flip(a)]. given #671 (H,wt=19): 932 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(231,a,925,a)]. given #672 (H,wt=19): 933 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [hyper(81,a,925,a)]. given #673 (H,wt=20): 185 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(122(a,1),24(a,2,1,2)),flip(a)]. given #674 (H,wt=20): 186 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(122(a,1),24(a,2,2,1)),flip(a)]. given #675 (H,wt=20): 267 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),28(a,2,2,2)),flip(a)]. given #676 (H,wt=20): 281 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(179(a,1),28(a,2,2,2))]. given #677 (H,wt=20): 290 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(201(a,2),28(a,2,1)),flip(a)]. given #678 (H,wt=20): 372 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(279(a,1),183(a,2))]. given #679 (H,wt=20): 423 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),28(a,2,2,2)),flip(a)]. given #680 (H,wt=20): 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(106(a,1),30(a,2,1)),flip(a)]. given #681 (H,wt=20): 446 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),106(a,1,2))]. given #682 (H,wt=20): 447 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),106(a,1,2))]. given #683 (H,wt=20): 451 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(198(a,2),106(a,1,1))]. given #684 (H,wt=20): 471 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(73,a,118,a(flip),b,106,a)]. given #685 (H,wt=20): 478 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),118(a,1,1))]. given #686 (H,wt=20): 479 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),118(a,1,1))]. given #687 (H,wt=20): 482 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(198(a,2),118(a,1,2))]. given #688 (H,wt=20): 502 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(98(a,1),142(a,1,1,2))]. given #689 (H,wt=20): 504 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),148(a,1,2,1))]. given #690 (H,wt=20): 508 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(73,a,45,a,b,199,a)]. given #691 (H,wt=20): 511 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(73,a,45,a,b,202,a)]. given #692 (H,wt=19): 948 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(353(a,1),511(a,1,2,1))]. given #693 (H,wt=20): 512 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(75,a,44,a(flip),b,203,a)]. given #694 (H,wt=20): 515 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(235(a,1),45(a,1,1)),flip(a)]. given #695 (H,wt=20): 559 T(x,y) * z != u * w | (z * T(T(x,z),y)) / w = u. [para(214(a,1),381(a,1,1))]. given #696 (H,wt=20): 571 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(455(a,1),44(a,1,1)),flip(a)]. given #697 (H,wt=20): 573 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(456(a,1),44(a,1,1)),flip(a)]. given #698 (H,wt=20): 576 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(75,a,46,a,b,467,a)]. given #699 (H,wt=20): 579 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),46(a,1,1)),flip(a)]. given #700 (H,wt=20): 633 T(x,x \ y) * z != z * u | T((x \ y) \ y,z) = u. [para(270(a,2),183(a,2)),flip(a)]. given #701 (H,wt=20): 668 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(122(a,1),94(a,1,1,2))]. given #702 (H,wt=20): 674 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),115(a,2,2))]. given #703 (H,wt=20): 677 a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). [para(14(a,1),170(a,1,2,1)),flip(a)]. given #704 (H,wt=20): 696 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(38(a,1),382(a,1,2,1))]. given #705 (H,wt=20): 701 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(408(a,1),40(a,2,1))]. given #706 (H,wt=20): 714 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(454(a,1),40(a,2,1))]. given #707 (H,wt=20): 721 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(491(a,1),42(a,2,1))]. given #708 (H,wt=20): 725 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(491(a,1),196(a,1,1)),flip(a)]. given #709 (H,wt=20): 733 R(T(x \ y,z),x,x \ 1) = T(T(y * (x \ 1),x),z). [para(627(a,1),42(a,2,1))]. given #710 (H,wt=20): 756 T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). [para(749(a,1),682(a,1,2))]. given #711 (H,wt=20): 789 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(490(a,1),611(a,1,1))]. given #712 (H,wt=20): 796 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(75,a,613,a(flip),b,312,a(flip))]. given #713 (H,wt=20): 798 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(620(a,1),226(a,1,1)),flip(b)]. given #714 (H,wt=20): 805 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(621(a,1),226(a,1,1)),flip(b)]. given #715 (H,wt=20): 812 T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. [para(754(a,1),19(a,1))]. given #716 (H,wt=20): 815 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(785(a,2),226(a,1,1)),flip(b)]. given #717 (H,wt=20): 821 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(172(a,1),793(a,2,1,2))]. given #718 (H,wt=20): 835 x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. [para(32(a,1),383(a,1,2,1))]. given #719 (H,wt=20): 853 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(122(a,1),522(a,2)),flip(b)]. given #720 (H,wt=20): 854 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(32(a,2),533(a,1,2,2))]. given #721 (H,wt=20): 860 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(122(a,1),555(a,2)),flip(b)]. given #722 (H,wt=20): 887 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),801(a,2,1,2,1))]. given #723 (H,wt=20): 898 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(119(a,1),813(a,1,1,1))]. given #724 (H,wt=20): 899 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(492(a,1),813(a,1,1)),flip(a)]. given #725 (H,wt=18): 965 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),899(a,2,1,2))]. given #726 (H,wt=20): 943 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(240,a,91,a(flip),b,451,a)]. given #727 (H,wt=20): 966 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),899(a,1,1,1)),flip(a)]. given #728 (H,wt=21): 389 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(355(a,1),28(a,2,2,2))]. given #729 (H,wt=21): 417 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(123(a,1),212(a,1,1))]. given #730 (H,wt=21): 495 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(172(a,2),119(a,1,1))]. given #731 (H,wt=21): 518 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(30(a,2),294(a,1,1))]. given #732 (H,wt=21): 524 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(142(a,1),294(a,1,1))]. given #733 (H,wt=21): 529 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(28(a,2),295(a,1,2))]. given #734 (H,wt=21): 534 R(x,y,z) * (y * z) != u * w | ((x * y) * z) / w = u. [para(148(a,1),295(a,1,2))]. given #735 (H,wt=21): 538 ((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u. [para(148(a,1),297(a,1,2))]. given #736 (H,wt=21): 552 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(362(a,2),119(a,1,1))]. given #737 (H,wt=21): 556 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(220(a,1),376(a,1,2))]. given #738 (H,wt=21): 564 (x * y) * (y \ 1) != z * u | z \ R(x,y,y \ 1) = u. [para(398(a,1),376(a,1,2))]. given #739 (H,wt=21): 566 x * ((x \ 1) * y) != z * u | L(y,x \ 1,x) / u = z. [para(399(a,1),295(a,1,2))]. given #740 (H,wt=21): 569 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(118(a,1),430(a,1,2))]. given #741 (H,wt=21): 584 ((x * y) * z) / (y * z) != u * w | u \ R(x,y,z) = w. [para(118(a,1),523(a,1,1))]. given #742 (H,wt=21): 598 L(x,y,x) * y != z * u | (y * T(x,x * y)) / u = z. [para(594(a,1),381(a,1,1))]. given #743 (H,wt=21): 602 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),192(a,1,2,1))]. given #744 (H,wt=20): 968 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(592(a,1),602(a,1,2))]. given #745 (H,wt=21): 605 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(123(a,1),192(a,1,2,1))]. given #746 (H,wt=21): 614 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(123(a,1),193(a,1,2,1))]. given #747 (H,wt=17): 969 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,193,a,b,614,a),flip(a)]. given #748 (H,wt=21): 665 ((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z). [hyper(75,a,94,a(flip),b,122,a)]. given #749 (H,wt=21): 690 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(357(a,2),106(a,1,2))]. given #750 (H,wt=21): 727 R(1 / x,x,x \ y) != z * u | ((x \ y) / y) / u = z. [para(490(a,2),540(a,1))]. given #751 (H,wt=21): 729 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(625(a,1),118(a,1,1))]. given #752 (H,wt=21): 758 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),230(a,1,2))]. given #753 (H,wt=21): 762 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(42(a,1),233(a,1,1))]. given #754 (H,wt=21): 765 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(122(a,1),233(a,1,2))]. given #755 (H,wt=21): 770 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(122(a,1),449(a,1,1))]. given #756 (H,wt=21): 777 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(122(a,1),472(a,2,2))]. given #757 (H,wt=21): 780 x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. [para(40(a,1),510(a,1,2))]. given #758 (H,wt=21): 804 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),621(a,1,1,2,1))]. given #759 (H,wt=21): 831 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(240,a,108,a(flip),b,359,a)]. given #760 (H,wt=21): 836 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(435(a,1),383(a,1))]. given #761 (H,wt=21): 840 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(590(a,1),445(a,1,2,1))]. given #762 (H,wt=17): 976 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(382,a,840,a),flip(a)]. given #763 (H,wt=15): 977 T(x,y) * (x * z) = x * (T(x,y) * z). [para(191(a,1),976(a,1,2)),flip(a)]. given #764 (H,wt=13): 983 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(374,a,977,a),flip(a)]. given #765 (H,wt=13): 988 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(73,a,56,a(flip),b,977,a),flip(a)]. given #766 (H,wt=13): 997 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(90,a,988,a)]. given #767 (H,wt=13): 998 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(81,a,988,a)]. given #768 (H,wt=15): 978 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(555,a,977,a)]. given #769 (H,wt=15): 979 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(553,a,977,a),flip(a)]. given #770 (H,wt=15): 981 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(533,a,977,a)]. given #771 (H,wt=15): 984 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,977,a),flip(a)]. given #772 (H,wt=15): 985 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(240,a,91,a(flip),b,977,a)]. given #773 (H,wt=13): 1009 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(368,a,985,a),flip(a)]. given #774 (H,wt=15): 986 (x * y) / (x * (T(x,z) \ y)) = T(x,z). [hyper(75,a,91,a(flip),b,977,a)]. given #775 (H,wt=15): 987 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(73,a,91,a(flip),b,977,a)]. given #776 (H,wt=15): 1006 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(81,a,979,a)]. given #777 (H,wt=16): 1000 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(988(a,1),241(a,1,2)),flip(b)]. given #778 (H,wt=16): 1001 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(997(a,1),226(a,1,1)),flip(b)]. given #779 (H,wt=17): 980 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(544,a,977,a),flip(a)]. given #780 (H,wt=17): 1003 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(997(a,1),910(a,2,1))]. given #781 (H,wt=17): 1015 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(124(a,1),1009(a,1,2,1))]. given #782 (H,wt=15): 1022 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(124(a,1),1015(a,2,2))]. given #783 (H,wt=17): 1018 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(182,a,746,a,b,980,a)]. given #784 (H,wt=17): 1021 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1003(a,1),16(a,1,1))]. given #785 (H,wt=17): 1023 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),1022(a,1,2,1))]. given #786 (H,wt=13): 1025 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),1023(a,2,2)),flip(a)]. given #787 (H,wt=13): 1026 T(x,y) / (y \ x) = (x * y) / x. [hyper(75,a,1025,a,b,xx)]. given #788 (H,wt=13): 1027 ((x * y) / x) \ T(x,y) = y \ x. [hyper(73,a,1025,a,b,xx)]. given #789 (H,wt=15): 1028 T(x,x / y) / y = (x * (x / y)) / x. [hyper(314,a,1025,a(flip))]. given #790 (H,wt=13): 1035 T(T(x,x / y) / y,x) = x / y. [para(1028(a,2),176(a,1,1))]. given #791 (H,wt=15): 1030 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),1025(a,2,2)),flip(a)]. given #792 (H,wt=15): 1037 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(240,a,806,a(flip),b,1030,a(flip)),flip(a)]. given #793 (H,wt=16): 1031 T(x,y) / (y \ x) != z | (x * y) / x = z. [para(1025(a,2),299(a,1,1)),flip(b)]. given #794 (H,wt=17): 1029 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),1025(a,2,1,1)),flip(a)]. given #795 (H,wt=17): 1034 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),1026(a,1,2)),flip(a)]. given #796 (H,wt=13): 1041 T(T(x * y,x) / y,x * y) = x. [para(1034(a,1),176(a,1,1))]. given #797 (H,wt=16): 1042 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1034(a,1),847(a,1,1))]. given #798 (H,wt=14): 1044 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(387,a,1042,a)]. given #799 (H,wt=11): 1047 L(R(x,y,T(x,y)),y,x) = x. [para(1044(a,1),433(a,1,1))]. given #800 (H,wt=14): 1045 x * R(y,x,T(y,x)) = T(y * x,y). [para(1042(a,1),181(a,1,2))]. given #801 (H,wt=17): 1038 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),1037(a,1,2,1,2))]. given #802 (H,wt=17): 1046 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1042(a,1),387(a,1))]. given #803 (H,wt=17): 1048 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(177(a,1),1038(a,1,2)),flip(a)]. given #804 (H,wt=18): 990 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(977(a,2),19(a,1))]. given #805 (H,wt=18): 1007 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(981(a,1),82(a,1,1)),flip(a),flip(b)]. given #806 (H,wt=18): 1008 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(981(a,1),250(a,1,1)),flip(b)]. given #807 (H,wt=18): 1013 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(985(a,1),19(a,1)),flip(a)]. given #808 (H,wt=18): 1014 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(985(a,1),241(a,1,2)),flip(b)]. given #809 (H,wt=16): 1049 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(12(a,1),1014(a,1,2))]. given #810 (H,wt=18): 1017 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1006(a,2),224(a,1,2)),flip(b)]. given #811 (H,wt=18): 1036 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1028(a,1),226(a,1,1)),flip(b)]. given #812 (H,wt=18): 1051 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1017(a,1,2,2))]. given #813 (H,wt=19): 989 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),977(a,1,2)),flip(a)]. given #814 (H,wt=19): 992 T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). [para(201(a,2),977(a,1,2))]. given #815 (H,wt=19): 999 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(75,a,988,a(flip),b,122,a)]. given #816 (H,wt=19): 1004 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(240,a,270,a(flip),b,978,a)]. given #817 (H,wt=19): 1005 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(412(a,1),978(a,1,2))]. given #818 (H,wt=19): 1010 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(73,a,201,a,b,985,a)]. given #819 (H,wt=19): 1012 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,264,a,b,985,a)]. given #820 (H,wt=17): 1056 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(918(a,1),1012(a,1,2))]. given #821 (H,wt=19): 1040 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(75,a,176,a(flip),b,1029,a),flip(a)]. given #822 (H,wt=19): 1052 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(411(a,1),989(a,1,2))]. given #823 (H,wt=17): 1057 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(73,a,12,a(flip),b,1052,a)]. given #824 (H,wt=19): 1053 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(123(a,1),1004(a,1,2,1))]. given #825 (H,wt=19): 1054 T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(1008,a,1005,a)]. given #826 (H,wt=20): 1002 x * (T(x,y) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(997(a,1),381(a,1,1))]. given #827 (H,wt=20): 1020 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(980(a,1),19(a,1))]. given #828 (H,wt=20): 1039 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(801(a,2),1037(a,1,2))]. given #829 (H,wt=17): 1059 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(230,a,1039,a)]. given #830 (H,wt=20): 1060 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1039(a,1),230(a,1))]. given #831 (H,wt=21): 856 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(550(a,2),436(a,1,2)),flip(a)]. given #832 (H,wt=19): 1061 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [hyper(544,a,856,a)]. given #833 (H,wt=19): 1064 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(285(a,1),856(a,1,2))]. given #834 (H,wt=21): 859 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(551(a,2),312(a,1,1))]. given #835 (H,wt=21): 869 L(x,x \ y,x) * (x \ y) != (x \ y) * z | T(x,y) = z. [para(595(a,2),19(a,1))]. given #836 (H,wt=21): 870 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(171(a,1),599(a,2,1)),flip(a)]. given #837 (H,wt=19): 1066 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(422,a,870,a)]. given #838 (H,wt=19): 1067 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(75,a,1066,a,b,411,a)]. given #839 (H,wt=21): 872 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(607(a,1),19(a,1)),flip(a)]. given #840 (H,wt=21): 880 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(312(a,1),609(a,1))]. given #841 (H,wt=21): 884 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(688(a,1),20(a,1))]. given #842 (H,wt=21): 885 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(458(a,1),739(a,1,1)),flip(a)]. given #843 (H,wt=21): 920 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(917(a,1),26(a,2,1)),flip(a)]. given #844 (H,wt=21): 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(456(a,1),508(a,1,2,1)),flip(a)]. given #845 (H,wt=19): 1069 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),947(a,2,2,1))]. given #846 (H,wt=15): 1071 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(240,a,605,a(flip),b,1069,a(flip)),flip(a)]. given #847 (H,wt=15): 1072 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(73,a,1069,a(flip),b,605,a(flip))]. given #848 (H,wt=21): 949 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(455(a,1),511(a,1,2,1))]. given #849 (H,wt=21): 950 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),512(a,1,1,1))]. given #850 (H,wt=21): 953 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,571,a)]. given #851 (H,wt=19): 1076 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),953(a,2,1))]. given #852 (H,wt=18): 1082 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(628(a,2),1076(a,1,2))]. given #853 (H,wt=19): 1078 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(81,a,1076,a)]. given #854 (H,wt=19): 1080 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,679,a,b,1076,a)]. given #855 (H,wt=21): 955 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(73,a,573,a(flip),b,199,a),flip(a)]. given #856 (H,wt=19): 1086 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),955(a,2,2,1))]. given #857 (H,wt=15): 1087 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(240,a,614,a(flip),b,1086,a(flip)),flip(a)]. given #858 (H,wt=15): 1088 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(73,a,1086,a(flip),b,614,a(flip))]. given #859 (H,wt=17): 1089 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(73,a,678,a(flip),b,1087,a)]. given #860 (H,wt=19): 1090 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(75,a,1087,a(flip),b,193,a)]. given #861 (H,wt=21): 957 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(575(a,1),576(a,1,1,1)),flip(a)]. given #862 (H,wt=19): 1095 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(11(a,1),957(a,2,1,1))]. given #863 (H,wt=19): 1097 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(805,a,1095,a)]. given #864 (H,wt=15): 1098 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(65(a,1),1097(a,1,2,1))]. given #865 (H,wt=15): 1101 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(90,a,1098,a)]. given #866 (H,wt=15): 1102 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1098(a,2),16(a,1,1))]. given #867 (H,wt=18): 1105 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1101(a,1),226(a,1,1)),flip(b)]. given #868 (H,wt=19): 1099 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(542,a,1098,a),flip(a)]. given #869 (H,wt=20): 1100 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(401,a,xx,b,1098,a),flip(a)]. given #870 (H,wt=21): 962 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(362(a,1),796(a,1,1,2))]. given #871 (H,wt=21): 973 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(654,a,729,a)]. given #872 (H,wt=19): 1108 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(240,a,690,a(flip),b,973,a(flip))]. given #873 (H,wt=21): 991 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(124(a,1),977(a,1,1)),flip(a)]. given #874 (H,wt=19): 1109 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(124(a,1),991(a,1,2,1))]. given #875 (H,wt=13): 1112 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(240,a,64,a(flip),b,1109,a)]. given #876 (H,wt=13): 1115 (1 / x) * K(x \ 1,x) = x \ 1. [para(198(a,2),1112(a,1,2))]. given #877 (H,wt=14): 1114 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(776,a,1112,a)]. given #878 (H,wt=17): 1113 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(73,a,56,a(flip),b,1109,a),flip(a)]. given #879 (H,wt=20): 1118 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1113(a,1),19(a,1))]. given #880 (H,wt=21): 993 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1). [hyper(73,a,983,a(flip),b,98,a)]. given #881 (H,wt=21): 1062 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(81,a,856,a)]. given #882 (H,wt=15): 1119 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(703,a,1062,a)]. given #883 (H,wt=15): 1120 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(73,a,406,a(flip),b,1062,a(flip))]. given #884 (H,wt=15): 1122 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(240,a,916,a(flip),b,1119,a)]. given #885 (H,wt=15): 1123 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(240,a,901,a(flip),b,1119,a)]. given #886 (H,wt=15): 1127 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1122(a,2),16(a,1,1)),flip(a)]. given #887 (H,wt=17): 1125 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(62(a,1),1120(a,1,2,1,2))]. given #888 (H,wt=18): 1121 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1062(a,1),703(a,1))]. given #889 (H,wt=18): 1132 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(1127(a,2),299(a,1,1)),flip(b)]. given #890 (H,wt=19): 1129 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(124(a,1),1123(a,2,2))]. given #891 (H,wt=19): 1133 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(13(a,1),1125(a,1,2,1)),flip(a)]. given #892 (H,wt=19): 1135 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(1133(a,2),14(a,1,2)),flip(a)]. given #893 (H,wt=20): 1136 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(171(a,2),1133(a,1,1,1))]. given #894 (H,wt=21): 1065 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(654,a,859,a),flip(a)]. given #895 (H,wt=19): 1139 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(124(a,1),1065(a,1,1,1))]. given #896 (H,wt=19): 1141 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(198(a,2),1139(a,1,1))]. given #897 (H,wt=21): 1074 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),949(a,1,2,1)),flip(a)]. given #898 (H,wt=21): 1075 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(240,a,603,a(flip),b,950,a)]. given #899 (H,wt=21): 1084 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(75,a,362,a(flip),b,1082,a)]. given #900 (H,wt=17): 1144 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(14(a,1),1084(a,1,2,1,2))]. given #901 (H,wt=17): 1145 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(1144(a,1),65(a,1,1))]. given #902 (H,wt=21): 1107 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(240,a,806,a(flip),b,962,a)]. given #903 (H,wt=21): 1117 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1114(a,1),511(a,1,2,1))]. given #904 (H,wt=19): 1146 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(240,a,192,a(flip),b,1117,a)]. given #905 (H,wt=19): 1148 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1146(a,1),14(a,1,2))]. given #906 (H,wt=18): 1150 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(240,a,171,a(flip),b,1148,a),flip(a)]. given #907 (H,wt=17): 1151 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(171(a,1),1150(a,2,2,1)),flip(a)]. given #908 (H,wt=17): 1152 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(81,a,1151,a)]. given #909 (H,wt=21): 1124 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(918(a,1),1119(a,1,1))]. given #910 (H,wt=21): 1130 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(176(a,1),1123(a,2,2))]. given #911 (H,wt=21): 1137 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1136(a,2),392(a,1,2)),flip(a)]. given #912 (H,wt=21): 1140 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(411(a,1),1065(a,1,1))]. given #913 (H,wt=21): 1153 ((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x). [hyper(73,a,1151,a(flip),b,139,a(flip)),flip(a)]. given #914 (H,wt=22): 288 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(198(a,2),24(a,2,1,2)),flip(a)]. given #915 (H,wt=22): 425 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(263(a,1),183(a,2))]. given #916 (H,wt=22): 481 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),118(a,1,2))]. given #917 (H,wt=22): 606 L(x,y,z) * u != w * v5 | w \ (u * L(T(x,u),y,z)) = v5. [para(192(a,1),517(a,1))]. given #918 (H,wt=22): 615 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(590(a,2),193(a,1,2,1))]. given #919 (H,wt=19): 1160 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(240,a,446,a(flip),b,615,a(flip)),flip(a)]. given #920 (H,wt=17): 1161 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(193(a,1),1160(a,1,2)),flip(a)]. given #921 (H,wt=15): 1170 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(73,a,56,a(flip),b,1161,a),flip(a)]. given #922 (H,wt=17): 1163 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(555,a,1161,a)]. given #923 (H,wt=17): 1164 R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. [hyper(553,a,1161,a),flip(a)]. given #924 (H,wt=17): 1166 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(533,a,1161,a)]. given #925 (H,wt=17): 1167 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1161,a),flip(a)]. given #926 (H,wt=16): 1177 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(182,a,118,a(flip),b,1167,a),flip(a)]. given #927 (H,wt=14): 1178 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1177(a,1,2))]. given #928 (H,wt=14): 1179 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(81,a,1178,a)]. given #929 (H,wt=17): 1168 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(81,a,1161,a)]. given #930 (H,wt=17): 1169 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(73,a,91,a(flip),b,1161,a)]. given #931 (H,wt=17): 1180 T(x * y,x) != z * T(y,x) | R(x,y,x) = z. [para(1178(a,1),20(a,1))]. given #932 (H,wt=18): 1174 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(118(a,1),1163(a,1,2)),flip(a)]. given #933 (H,wt=18): 1181 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(90,a,1174,a),flip(a)]. given #934 (H,wt=19): 1165 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [hyper(544,a,1161,a),flip(a)]. given #935 (H,wt=20): 1171 R(x,y,z) * (x * u) != x * w | R(x,y,z) * u = w. [para(1161(a,2),19(a,1))]. given #936 (H,wt=20): 1175 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(312(a,1),1163(a,1,2)),flip(a)]. given #937 (H,wt=20): 1176 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1166(a,1),250(a,1,1)),flip(b)]. given #938 (H,wt=22): 635 ((x \ y) \ y) * z != u * w | u \ (T(x,x \ y) * z) = w. [para(270(a,1),517(a,1))]. given #939 (H,wt=22): 636 T(x,x \ y) * z != u * w | u \ (((x \ y) \ y) * z) = w. [para(270(a,2),517(a,1))]. given #940 (H,wt=22): 640 x * ((y \ z) \ z) != u * w | u \ (x * T(y,y \ z)) = w. [para(271(a,1),517(a,1))]. given #941 (H,wt=22): 641 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(272(a,1),231(a,1,2))]. given #942 (H,wt=22): 650 T(x,y) * T(x,z) != u * w | u \ (T(x,z) * T(x,y)) = w. [para(412(a,1),517(a,1))]. given #943 (H,wt=22): 656 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(414(a,1),381(a,1,1))]. given #944 (H,wt=22): 663 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(639(a,1),381(a,1,1))]. given #945 (H,wt=22): 671 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(118(a,1),94(a,1,1))]. given #946 (H,wt=22): 681 x \ R(x,y,y \ 1) != z * u | z \ a(x,y,y \ 1) = u. [para(679(a,1),309(a,1,2))]. given #947 (H,wt=22): 684 (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),T(x,y),y). [para(122(a,1),189(a,1,1))]. given #948 (H,wt=22): 685 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(118(a,1),189(a,1,2))]. given #949 (H,wt=22): 707 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),435(a,1,2))]. given #950 (H,wt=22): 713 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),436(a,1,2))]. given #951 (H,wt=22): 715 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(454(a,1),44(a,1,1)),flip(a)]. given #952 (H,wt=22): 722 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(491(a,1),46(a,1,1)),flip(a)]. given #953 (H,wt=22): 740 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(240,a,32,a,b,697,a)]. given #954 (H,wt=22): 743 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(741(a,1),192(a,1,2,1)),flip(a)]. given #955 (H,wt=19): 1188 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(240,a,478,a(flip),b,743,a(flip))]. given #956 (H,wt=19): 1189 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(386,a,1188,a)]. given #957 (H,wt=22): 744 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(741(a,1),193(a,1,2,1)),flip(a)]. given #958 (H,wt=19): 1191 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(240,a,479,a(flip),b,744,a(flip))]. given #959 (H,wt=22): 786 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(75,a,106,a(flip),b,604,a),flip(a)]. given #960 (H,wt=22): 792 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(233,a,613,a)]. given #961 (H,wt=22): 797 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(75,a,613,a(flip),b,118,a(flip))]. given #962 (H,wt=22): 811 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(746(a,1),183(a,2)),flip(a)]. given #963 (H,wt=22): 816 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(785(a,1),106(a,1,2))]. given #964 (H,wt=22): 817 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(235(a,1),785(a,2,1,2))]. given #965 (H,wt=22): 818 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(356(a,1),785(a,2,1,2))]. given #966 (H,wt=22): 819 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(455(a,1),785(a,2,1,2))]. given #967 (H,wt=22): 822 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(793(a,1),118(a,1,1))]. given #968 (H,wt=22): 823 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(238(a,1),793(a,2,1,2))]. given #969 (H,wt=22): 825 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),793(a,2,1,2))]. given #970 (H,wt=22): 826 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(575(a,1),793(a,2,1,2))]. given #971 (H,wt=22): 841 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(383,a,448,a),flip(a)]. given #972 (H,wt=22): 844 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(122(a,1),461(a,1,1,1)),flip(a)]. given #973 (H,wt=22): 866 x \ T(x * y,z) != u | (x \ 1) * T((x \ 1) \ y,z) = u. [para(572(a,1),510(a,1,2))]. given #974 (H,wt=22): 882 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(122(a,1),664(a,1,1))]. given #975 (H,wt=21): 1201 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(240,a,705,a(flip),b,882,a)]. given #976 (H,wt=21): 1202 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1201(a,1),65(a,1,1))]. given #977 (H,wt=22): 888 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),801(a,2,1,2))]. given #978 (H,wt=22): 896 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(808(a,1),226(a,1,1)),flip(b)]. given #979 (H,wt=22): 900 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(863(a,1),241(a,1,2)),flip(b)]. given #980 (H,wt=22): 906 T(x * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. [para(867(a,2),654(a,1))]. given #981 (H,wt=22): 926 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(909(a,1),224(a,1,2)),flip(b)]. given #982 (H,wt=20): 1207 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(53(a,1),926(a,1,2,1,2))]. given #983 (H,wt=22): 931 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(915(a,2),20(a,1))]. given #984 (H,wt=22): 935 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(933(a,1),224(a,1,2)),flip(b)]. given #985 (H,wt=22): 937 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(917(a,1),290(a,1,2,2))]. given #986 (H,wt=22): 1011 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,435,a,b,985,a)]. given #987 (H,wt=22): 1019 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,435,a,b,980,a)]. given #988 (H,wt=22): 1050 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(201(a,2),1014(a,1,2))]. given #989 (H,wt=22): 1055 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1005(a,1),1008(a,1))]. given #990 (H,wt=22): 1058 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1052(a,1),19(a,1))]. given #991 (H,wt=22): 1081 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1076(a,1),241(a,1,2)),flip(b)]. given #992 (H,wt=22): 1085 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1078(a,1),680(a,1))]. given #993 (H,wt=22): 1094 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1088(a,1),295(a,1,2))]. given #994 (H,wt=22): 1116 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(1115(a,1),183(a,2))]. given #995 (H,wt=22): 1147 (1 / x) \ L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. [para(1117(a,2),383(a,1))]. given #996 (H,wt=22): 1172 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(232,a,1170,a)]. given #997 (H,wt=22): 1173 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1170(a,1),202(a,1,2)),flip(a)]. given #998 (H,wt=22): 1204 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(240,a,416,a(flip),b,888,a)]. given #999 (H,wt=22): 1206 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(13(a,1),926(a,1,2,1,2))]. given #1000 (H,wt=23): 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(106(a,1),28(a,2,2,2)),flip(a)]. given #1001 (H,wt=23): 450 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(106(a,1),98(a,1,1))]. given #1002 (H,wt=23): 466 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(106(a,1),108(a,2,2))]. given #1003 (H,wt=23): 474 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(118(a,1),26(a,2,1)),flip(a)]. given #1004 (H,wt=23): 475 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(118(a,1),30(a,2,1,1)),flip(a)]. given #1005 (H,wt=23): 480 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(118(a,1),98(a,1,1))]. given #1006 (H,wt=23): 498 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(118(a,1),119(a,2,1))]. given #1007 (H,wt=23): 500 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(119(a,2),119(a,1,1))]. given #1008 (H,wt=23): 527 (x * (y * z)) * a(x,y,z) != u * w | ((x * y) * z) / w = u. [para(24(a,2),295(a,1,2))]. given #1009 (H,wt=23): 554 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),376(a,1,2))]. given #1010 (H,wt=23): 563 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),396(a,1))]. given #1011 (H,wt=23): 632 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(270(a,2),26(a,2,1)),flip(a)]. given #1012 (H,wt=23): 642 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(272(a,1),191(a,1,2,1))]. given #1013 (H,wt=23): 645 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(397(a,2),209(a,1,2,2))]. given #1014 (H,wt=23): 652 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(240,a,270,a(flip),b,413,a(flip)),flip(a)]. given #1015 (H,wt=23): 699 L(x \ 1,x,y) \ z != u * w | u \ (((y * x) \ y) \ z) = w. [para(392(a,1),309(a,1,2))]. given #1016 (H,wt=23): 710 x \ (y * ((y \ x) * z)) != u * w | u \ L(z,y \ x,y) = w. [para(435(a,1),309(a,1,2))]. given #1017 (H,wt=23): 711 x \ (y * ((y \ x) * z)) != u * w | L(z,y \ x,y) / w = u. [para(435(a,1),430(a,1,2))]. given #1018 (H,wt=23): 736 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(624(a,1),655(a,1,1))]. given #1019 (H,wt=23): 759 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),230(a,1,2))]. given #1020 (H,wt=23): 760 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),230(a,1,2))]. given #1021 (H,wt=23): 763 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),233(a,1,1))]. given #1022 (H,wt=23): 764 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),233(a,1,1))]. given #1023 (H,wt=23): 767 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(198(a,2),438(a,1,1))]. given #1024 (H,wt=23): 778 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(198(a,2),472(a,2,2))]. given #1025 (H,wt=23): 807 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(123(a,1),657(a,1,2,1,2))]. given #1026 (H,wt=23): 829 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(358(a,2),106(a,1,2))]. given #1027 (H,wt=23): 833 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(359(a,1),106(a,1,2))]. given #1028 (H,wt=23): 838 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(108(a,1),445(a,1,2,1))]. given #1029 (H,wt=21): 1218 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(240,a,973,a(flip),b,838,a(flip)),flip(a)]. given #1030 (H,wt=19): 1220 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(177(a,1),1218(a,1,1,1,2)),flip(a)]. given #1031 (H,wt=15): 1221 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(182,a,1220,a(flip),b,175,a(flip))]. given #1032 (H,wt=15): 1225 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1221(a,2),61(a,1,2,1))]. given #1033 (H,wt=15): 1226 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1225(a,1,2,1,1,1))]. given #1034 (H,wt=15): 1227 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),1225(a,1,2,1,1)),flip(a)]. given #1035 (H,wt=15): 1229 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(73,a,1227,a,b,xx)]. given #1036 (H,wt=18): 1224 T((x \ y) * x,x) != z * x | x \ T(y,x) = z. [para(1221(a,2),20(a,1))]. given #1037 (H,wt=19): 1223 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(73,a,1221,a,b,263,a)]. given #1038 (H,wt=19): 1228 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(907(a,1),1226(a,1,2)),flip(a)]. given #1039 (H,wt=21): 1219 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(14(a,1),1218(a,1,1,1,2,1)),flip(a)]. given #1040 (H,wt=21): 1232 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1223(a,1,2,1,1))]. given #1041 (H,wt=21): 1235 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1141(a,2),1219(a,1,2)),flip(a)]. given #1042 (H,wt=19): 1236 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),1235(a,1,1,1,2)),flip(a)]. given #1043 (H,wt=19): 1238 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(198(a,2),1236(a,2,1))]. given #1044 (H,wt=19): 1239 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1238(a,1,2,2)),flip(a)]. given #1045 (H,wt=21): 1240 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1238(a,1,2,2))]. given #1046 (H,wt=22): 1241 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1239(a,1),19(a,1)),flip(a)]. given #1047 (H,wt=23): 839 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(235(a,1),445(a,1,2,1))]. given #1048 (H,wt=23): 848 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(119(a,1),477(a,1,1,1))]. given #1049 (H,wt=19): 1244 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(659,a,848,a),flip(a)]. given #1050 (H,wt=15): 1246 (x * T(y,z)) * y = (x * y) * T(y,z). [para(413(a,1),1244(a,1,1))]. given #1051 (H,wt=13): 1248 (1 / T(x,y)) * x = x / T(x,y). [hyper(386,a,1246,a),flip(a)]. given #1052 (H,wt=13): 1258 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(81,a,1248,a)]. given #1053 (H,wt=15): 1247 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(558,a,1246,a)]. given #1054 (H,wt=15): 1249 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(307,a,1246,a),flip(a)]. given #1055 (H,wt=15): 1250 (x * T(y,x * y)) * y = y * (x * y). [hyper(240,a,122,a(flip),b,1246,a)]. given #1056 (H,wt=15): 1251 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(240,a,92,a(flip),b,1246,a)]. given #1057 (H,wt=13): 1265 (x / y) * T(y,x) = (y * x) / y. [hyper(75,a,122,a(flip),b,1251,a),flip(a)]. given #1058 (H,wt=15): 1252 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(81,a,1246,a)]. given #1059 (H,wt=15): 1253 (x * (y * x)) / x = y * T(x,y * x). [hyper(75,a,122,a(flip),b,1246,a)]. given #1060 (H,wt=15): 1257 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(401,a,xx,b,1248,a)]. given #1061 (H,wt=16): 1259 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1258(a,1),224(a,1,2)),flip(b)]. given #1062 (H,wt=16): 1272 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1252(a,1),966(a,1,1)),flip(a)]. given #1063 (H,wt=17): 1263 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1048(a,2),1249(a,1,1))]. given #1064 (H,wt=17): 1267 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(542,a,1265,a),flip(a)]. given #1065 (H,wt=13): 1277 T(x * T(x \ y,y),x \ y) = y. [para(1267(a,1),176(a,1,1))]. given #1066 (H,wt=17): 1268 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(401,a,xx,b,1265,a),flip(a)]. given #1067 (H,wt=18): 1254 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1246(a,1),20(a,1))]. given #1068 (H,wt=18): 1261 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1249(a,1),20(a,1)),flip(a)]. given #1069 (H,wt=18): 1262 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1249(a,1),299(a,1,1)),flip(b)]. given #1070 (H,wt=16): 1279 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(11(a,1),1262(a,1,1))]. given #1071 (H,wt=18): 1264 x * (y * x) != z * x | y * T(x,y * x) = z. [para(1250(a,1),20(a,1))]. given #1072 (H,wt=18): 1266 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1251(a,1),20(a,1))]. given #1073 (H,wt=19): 1276 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1263(a,1),980(a,1,2)),flip(a)]. given #1074 (H,wt=19): 1280 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(90,a,1276,a),flip(a)]. given #1075 (H,wt=17): 1281 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(240,a,1048,a(flip),b,1280,a(flip))]. given #1076 (H,wt=20): 1260 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1247(a,2),183(a,2)),flip(a)]. given #1077 (H,wt=20): 1269 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1265(a,1),254(a,1,2))]. given #1078 (H,wt=21): 1255 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(122(a,1),1246(a,2,1))]. given #1079 (H,wt=19): 1282 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(191(a,1),1255(a,1,1))]. given #1080 (H,wt=15): 1283 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(182,a,1282,a,b,122,a(flip))]. given #1081 (H,wt=21): 1256 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(124(a,1),1246(a,1,1,2)),flip(a)]. given #1082 (H,wt=19): 1285 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(124(a,1),1256(a,1,2))]. given #1083 (H,wt=17): 1289 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(386,a,1285,a),flip(a)]. given #1084 (H,wt=19): 1288 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(558,a,1285,a)]. given #1085 (H,wt=20): 1292 (1 / (x / y)) * (y \ x) != z | (y \ x) / (x / y) = z. [para(1288(a,1),302(a,1))]. given #1086 (H,wt=21): 1291 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(401,a,xx,b,1289,a),flip(a)]. given #1087 (H,wt=21): 1293 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1291(a,1),1122(a,1,1))]. given #1088 (H,wt=22): 1290 (x * (y / z)) * (z \ y) != u * (y / z) | x * (z \ y) = u. [para(1285(a,2),20(a,1))]. given #1089 (H,wt=23): 849 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(238(a,1),477(a,1,1,1)),flip(a)]. given #1090 (H,wt=23): 890 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(123(a,1),420(a,1,1,2))]. given #1091 (H,wt=23): 891 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(122(a,1),669(a,1,1,2))]. given #1092 (H,wt=23): 892 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(122(a,1),669(a,1,2,1))]. given #1093 (H,wt=23): 897 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),809(a,1,2,2,1,2))]. given #1094 (H,wt=23): 911 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(240,a,864,a(flip),b,905,a)]. given #1095 (H,wt=23): 924 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(124(a,1),922(a,1,1,1))]. given #1096 (H,wt=23): 934 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(932(a,1),100(a,1,1)),flip(a)]. given #1097 (H,wt=23): 942 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(590(a,1),447(a,1,2,1))]. given #1098 (H,wt=19): 1296 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(383,a,942,a),flip(a)]. given #1099 (H,wt=17): 1297 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(192(a,1),1296(a,1,2)),flip(a)]. given #1100 (H,wt=15): 1304 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(73,a,56,a(flip),b,1297,a),flip(a)]. given #1101 (H,wt=15): 1307 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(81,a,1304,a)]. given #1102 (H,wt=17): 1299 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(555,a,1297,a)]. given #1103 (H,wt=17): 1300 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(553,a,1297,a),flip(a)]. given #1104 (H,wt=17): 1301 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1297,a),flip(a)]. given #1105 (H,wt=17): 1302 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(81,a,1297,a)]. given #1106 (H,wt=17): 1303 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(73,a,91,a(flip),b,1297,a)]. given #1107 (H,wt=17): 1314 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(81,a,1300,a)]. given #1108 (H,wt=18): 1309 L(x,y,z) \ x != x * u | L(x,y,z) \ 1 = u. [para(1304(a,1),19(a,1))]. given #1109 (H,wt=19): 1315 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(73,a,32,a,b,1300,a),flip(a)]. given #1110 (H,wt=20): 1316 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1301(a,1),19(a,1))]. given #1111 (H,wt=20): 1317 x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. [para(1301(a,1),241(a,1,2)),flip(b)]. given #1112 (H,wt=22): 1308 (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 1. [hyper(73,a,697,a(flip),b,1304,a)]. given #1113 (H,wt=22): 1312 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1304(a,1),202(a,1,2)),flip(a)]. given #1114 (H,wt=22): 1313 x * (L(x,y,z) \ 1) != u * w | (L(x,y,z) \ x) / w = u. [para(1307(a,1),295(a,1,2))]. given #1115 (H,wt=23): 956 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(576(a,2),20(a,1))]. given #1116 (H,wt=23): 959 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(714(a,1),435(a,1,2)),flip(a)]. given #1117 (H,wt=21): 1321 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(73,a,122,a(flip),b,959,a),flip(a)]. given #1118 (H,wt=21): 1322 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),959(a,2,2,1,2))]. given #1119 (H,wt=19): 1325 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1119(a,2),1322(a,1,2)),flip(a)]. given #1120 (H,wt=19): 1328 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(517,a,1325,a),flip(a)]. given #1121 (H,wt=21): 1323 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(81,a,1322,a),flip(a)]. given #1122 (H,wt=21): 1324 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(285(a,1),1322(a,1,2)),flip(a)]. given #1123 (H,wt=21): 1329 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1325(a,1,2,1)),flip(a)]. given #1124 (H,wt=21): 1333 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),1328(a,2,2,2,1))]. given #1125 (H,wt=19): 1335 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1265(a,1),1333(a,2,2))]. given #1126 (H,wt=23): 960 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(721(a,1),311(a,1,1)),flip(a)]. given #1127 (H,wt=23): 982 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(401,a,91,a(flip),b,977,a)]. given #1128 (H,wt=23): 1024 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(124(a,1),1021(a,1,1)),flip(a)]. given #1129 (H,wt=21): 1337 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(124(a,1),1024(a,1,2)),flip(a)]. given #1130 (H,wt=23): 1103 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1098(a,1),183(a,2)),flip(a)]. given #1131 (H,wt=23): 1110 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(176(a,1),991(a,1,2,1)),flip(a)]. given #1132 (H,wt=19): 1339 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1110(a,1,1)),flip(a)]. given #1133 (H,wt=17): 1341 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(374,a,1339,a),flip(a)]. given #1134 (H,wt=17): 1343 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(73,a,56,a(flip),b,1339,a),flip(a)]. given #1135 (H,wt=17): 1344 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(90,a,1341,a)]. given #1136 (H,wt=19): 1340 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(555,a,1339,a)]. given #1137 (H,wt=19): 1342 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(73,a,91,a(flip),b,1339,a)]. given #1138 (H,wt=20): 1347 ((x * y) / x) * (y \ 1) != z | y \ ((x * y) / x) = z. [para(1344(a,1),226(a,1,1)),flip(b)]. given #1139 (H,wt=21): 1345 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(240,a,807,a,b,1341,a(flip)),flip(a)]. given #1140 (H,wt=23): 1111 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(197(a,1),991(a,1,2,1)),flip(a)]. given #1141 (H,wt=19): 1349 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(585,a,1111,a),flip(a)]. given #1142 (H,wt=13): 1352 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(240,a,64,a(flip),b,1349,a)]. given #1143 (H,wt=17): 1350 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(374,a,1349,a),flip(a)]. given #1144 (H,wt=15): 1353 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(1292,a,1350,a)]. given #1145 (H,wt=23): 1159 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(901(a,1),1140(a,1,1))]. given #1146 (H,wt=23): 1199 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(73,a,819,a(flip),b,202,a)]. given #1147 (H,wt=21): 1354 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1199(a,1,2,1,2))]. given #1148 (H,wt=23): 1200 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(75,a,826,a(flip),b,467,a),flip(a)]. given #1149 (H,wt=17): 1355 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1036,a,1200,a),flip(a)]. given #1150 (H,wt=19): 1357 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1355(a,1,1,1,2)),flip(a)]. given #1151 (H,wt=20): 1358 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1355(a,1),238(a,1,1))]. given #1152 (H,wt=18): 1359 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(240,a,1281,a(flip),b,1358,a)]. given #1153 (H,wt=21): 1356 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1200(a,2,1,1,2))]. given #1154 (H,wt=21): 1360 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(896,a,1356,a)]. given #1155 (H,wt=17): 1361 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(65(a,1),1360(a,1,2,1,2))]. given #1156 (H,wt=21): 1362 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(542,a,1361,a),flip(a)]. given #1157 (H,wt=23): 1230 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(416(a,1),1229(a,1,2,1,2))]. given #1158 (H,wt=23): 1245 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(654,a,848,a)]. given #1159 (H,wt=23): 1275 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1257(a,1),411(a,1,1)),flip(a)]. given #1160 (H,wt=23): 1286 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(176(a,1),1256(a,1,2)),flip(a)]. given #1161 (H,wt=19): 1364 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1286(a,1,1,2)),flip(a)]. given #1162 (H,wt=17): 1366 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(386,a,1364,a),flip(a)]. given #1163 (H,wt=19): 1365 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(558,a,1364,a)]. given #1164 (H,wt=21): 1367 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1038(a,1),1364(a,1,1)),flip(a)]. given #1165 (H,wt=17): 1368 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(307,a,1367,a),flip(a)]. given #1166 (H,wt=17): 1369 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1007,a,1368,a)]. given #1167 (H,wt=17): 1371 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(90,a,1369,a)]. given #1168 (H,wt=17): 1374 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(240,a,1357,a,b,1371,a(flip)),flip(a)]. given #1169 (H,wt=17): 1375 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1374(a,1,2,2,2)),flip(a)]. given #1170 (H,wt=20): 1372 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1369(a,1),20(a,1))]. given #1171 (H,wt=20): 1373 ((x * y) / x) / (x \ y) != z | T(x,x / (x / y)) = z. [para(1369(a,1),299(a,1,1)),flip(b)]. given #1172 (H,wt=23): 1287 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(197(a,1),1256(a,1,2)),flip(a)]. given #1173 (H,wt=19): 1376 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(65(a,1),1287(a,1,1,2)),flip(a)]. given #1174 (H,wt=17): 1378 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(386,a,1376,a),flip(a)]. given #1175 (H,wt=19): 1377 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [hyper(557,a,1376,a),flip(a)]. given #1176 (H,wt=23): 1320 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(81,a,959,a)]. given #1177 (H,wt=21): 1380 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(178(a,1),1320(a,1,2,2,1)),flip(a)]. given #1178 (H,wt=15): 1381 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(73,a,178,a(flip),b,1380,a),flip(a)]. given #1179 (H,wt=23): 1326 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(935,a,1325,a),flip(a)]. given #1180 (H,wt=23): 1327 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(926,a,1325,a),flip(a)]. given #1181 (H,wt=23): 1336 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(75,a,411,a(flip),b,960,a)]. given #1182 (H,wt=23): 1363 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(411(a,1),1245(a,2,1))]. given #1183 (H,wt=21): 1384 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(182,a,1363,a(flip),b,839,a(flip)),flip(a)]. given #1184 (H,wt=19): 1387 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1384(a,1,2,1,2)),flip(a)]. given #1185 (H,wt=19): 1388 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(73,a,1387,a,b,xx)]. given #1186 (H,wt=19): 1389 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1388(a,1,2,1,2,1))]. given #1187 (H,wt=19): 1390 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1229(a,1),1389(a,2,1))]. given #1188 (H,wt=19): 1391 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(240,a,1230,a(flip),b,1390,a(flip)),flip(a)]. given #1189 (H,wt=19): 1392 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1390(a,1),14(a,1,2)),flip(a)]. given #1190 (H,wt=17): 1393 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(153(a,1),1392(a,2,2,1,1))]. given #1191 (H,wt=21): 1385 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1363(a,1,2,1,2))]. given #1192 (H,wt=11): 1396 T(x,x * T(x \ 1,y)) = x. [hyper(182,a,690,a(flip),b,1385,a(flip))]. given #1193 (H,wt=9): 1397 T(x,(x \ 1) * x) = x. [para(122(a,1),1396(a,1,2))]. given #1194 (H,wt=9): 1398 T(x,K(x \ 1,x)) = x. [para(285(a,1),1396(a,1,2))]. given #1195 (H,wt=12): 1402 R(x,x \ 1,x) = T(x,x \ 1). [para(1397(a,1),742(a,1,1))]. given #1196 (H,wt=12): 1403 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,1402,a)]. given #1197 (H,wt=13): 1400 T(x \ 1,x \ T(x,y)) = x \ 1. [para(901(a,1),1396(a,1,2))]. given #1198 (H,wt=13): 1401 T(1 / x,T(x,y) / x) = 1 / x. [para(916(a,1),1396(a,1,2))]. given #1199 (H,wt=13): 1405 T(x,x \ 1) \ x = (x \ 1) * x. [para(1402(a,1),393(a,1,1))]. given #1200 (H,wt=13): 1406 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(240,a,506,a,b,1403,a(flip)),flip(a)]. given #1201 (H,wt=13): 1410 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(182,a,1405,a(flip),b,988,a),flip(a)]. given #1202 (H,wt=13): 1412 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1406(a,1),16(a,1,1))]. given #1203 (H,wt=13): 1416 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(588,a,1412,a)]. given #1204 (H,wt=15): 1407 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1400,a)]. given #1205 (H,wt=15): 1408 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(983(a,2),1400(a,1,2))]. given #1206 (H,wt=15): 1415 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(589(a,1),1410(a,1,1)),flip(a)]. given #1207 (H,wt=11): 1419 T(x,1 / x) = (x \ 1) \ 1. [para(65(a,1),1415(a,1,1))]. given #1208 (H,wt=11): 1420 T(x,1 / x) = T(x,x \ 1). [hyper(240,a,123,a,b,1419,a)]. given #1209 (H,wt=13): 1422 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1419(a,1),751(a,1,1))]. given #1210 (H,wt=13): 1425 T(x,x \ 1) / x = K(x,1 / x). [para(1420(a,1),751(a,1,1))]. given #1211 (H,wt=15): 1421 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1419(a,1),177(a,1,1,2))]. given #1212 (H,wt=11): 1430 T(1 / (1 / x),x \ 1) = x. [hyper(240,a,890,a(flip),b,1421,a(flip)),flip(a)]. given #1213 (H,wt=13): 1432 T(1 / (1 / (1 / x)),x) = 1 / x. [para(65(a,1),1430(a,1,2))]. given #1214 (H,wt=13): 1435 T(x,x \ 1) / x = K(x,x \ 1). [para(1430(a,1),1293(a,1,1)),flip(a)]. given #1215 (H,wt=11): 1437 K(x,1 / x) = K(x,x \ 1). [hyper(240,a,1425,a(flip),b,1435,a(flip)),flip(a)]. given #1216 (H,wt=11): 1440 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1437,a),flip(a)]. given #1217 (H,wt=11): 1442 x \ K(x,x \ 1) = 1 / x. [hyper(73,a,1437,a(flip),b,201,a(flip))]. given #1218 (H,wt=13): 1438 K(x,x \ 1) * x = T(x,x \ 1). [para(1435(a,1),16(a,1,1))]. given #1219 (H,wt=13): 1439 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(123(a,1),1435(a,1,1))]. given #1220 (H,wt=13): 1456 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1440(a,2),1352(a,1,2))]. given #1221 (H,wt=13): 1459 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,1438,a)]. given #1222 (H,wt=14): 1444 K(x,x \ 1) != y | x * (1 / x) = y. [para(1437(a,1),349(a,1))]. given #1223 (H,wt=14): 1447 K(x,x \ 1) != x * y | 1 / x = y. [para(1440(a,2),19(a,1))]. given #1224 (H,wt=14): 1449 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1440(a,2),348(a,1))]. given #1225 (H,wt=14): 1457 x * (1 / x) != y | K(x,x \ 1) = y. [para(1442(a,1),224(a,1,2)),flip(b)]. given #1226 (H,wt=14): 1463 K(x,1 / x) != y | K(x,x \ 1) = y. [para(201(a,2),1457(a,1))]. given #1227 (H,wt=15): 1424 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [para(62(a,1),1420(a,1,2)),flip(a)]. given #1228 (H,wt=15): 1431 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1430(a,1),38(a,1,1)),flip(a)]. given #1229 (H,wt=15): 1433 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1430(a,1),122(a,1,2)),flip(a)]. given #1230 (H,wt=13): 1465 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(1292,a,1433,a)]. given #1231 (H,wt=13): 1466 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(240,a,198,a,b,1465,a)]. given #1232 (H,wt=13): 1468 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(240,a,1353,a(flip),b,1466,a(flip)),flip(a)]. given #1233 (H,wt=13): 1469 K(x \ 1,x) * (1 / x) = x \ 1. [para(1466(a,1),16(a,1,1))]. given #1234 (H,wt=13): 1472 x * K(x \ 1,x) = 1 / (1 / x). [para(1468(a,1),14(a,1,2))]. given #1235 (H,wt=12): 1481 L(x,x \ 1,x) = 1 / (1 / x). [hyper(782,a,1472,a)]. given #1236 (H,wt=13): 1474 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(1116,a,1469,a)]. given #1237 (H,wt=15): 1436 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1432(a,1),122(a,1,2)),flip(a)]. given #1238 (H,wt=13): 1489 x / (1 / (1 / x)) = x * (1 / x). [hyper(240,a,1378,a(flip),b,1436,a(flip)),flip(a)]. given #1239 (H,wt=13): 1490 x / (1 / (1 / x)) = K(x,1 / x). [hyper(240,a,201,a,b,1489,a)]. given #1240 (H,wt=13): 1491 K(x,1 / x) * (1 / (1 / x)) = x. [para(1490(a,1),16(a,1,1))]. given #1241 (H,wt=12): 1492 L(x,1 / x,x) = 1 / (1 / x). [hyper(587,a,1491,a)]. given #1242 (H,wt=13): 1493 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1437(a,1),1491(a,1,1))]. given #1243 (H,wt=15): 1441 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(240,a,649,a,b,1437,a(flip)),flip(a)]. given #1244 (H,wt=15): 1443 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),1437(a,1,2)),flip(a)]. given #1245 (H,wt=15): 1464 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(123(a,2),1424(a,1,2))]. given #1246 (H,wt=15): 1488 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(240,a,1440,a,b,1436,a)]. given #1247 (H,wt=16): 1404 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1402(a,1),42(a,2,1))]. given #1248 (H,wt=16): 1413 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1406(a,1),250(a,1,1)),flip(b)]. given #1249 (H,wt=16): 1461 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1459(a,1),299(a,1,1)),flip(b)]. given #1250 (H,wt=16): 1462 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(1435(a,2),1449(a,1))]. given #1251 (H,wt=16): 1467 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1465(a,2),316(a,1))]. given #1252 (H,wt=16): 1475 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1469(a,1),20(a,1)),flip(a)]. given #1253 (H,wt=16): 1482 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1472(a,1),19(a,1))]. given #1254 (H,wt=16): 1484 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1481(a,1),40(a,2,1))]. given #1255 (H,wt=16): 1494 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1492(a,1),40(a,2,1))]. given #1256 (H,wt=17): 1426 T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). [para(1420(a,1),755(a,1,1,1))]. given #1257 (H,wt=17): 1429 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1422(a,1,1,1)),flip(a)]. given #1258 (H,wt=15): 1504 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(240,a,1466,a(flip),b,1429,a)]. given #1259 (H,wt=15): 1505 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1463,a,1504,a)]. given #1260 (H,wt=11): 1506 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),1505(a,1,2))]. given #1261 (H,wt=13): 1508 x * K(1 / x,x) = 1 / (1 / x). [para(1506(a,2),1472(a,1,2))]. given #1262 (H,wt=15): 1507 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),1506(a,1,1)),flip(a)]. given #1263 (H,wt=17): 1502 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(75,a,1484,a(flip),b,199,a)]. given #1264 (H,wt=18): 1411 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1405(a,2),183(a,2)),flip(a)]. given #1265 (H,wt=18): 1418 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1408(a,1),742(a,1,1))]. given #1266 (H,wt=18): 1427 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1420(a,1),750(a,2,1))]. given #1267 (H,wt=18): 1458 x * (1 / x) != y * z | y \ K(x,x \ 1) = z. [para(1442(a,1),376(a,1,2))]. given #1268 (H,wt=18): 1485 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1481(a,1),44(a,1,1)),flip(a)]. given #1269 (H,wt=18): 1500 (1 / (1 / (1 / x))) * x != y | x * (1 / x) = y. [para(1488(a,2),1444(a,1))]. given #1270 (H,wt=19): 1423 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1419(a,1),1189(a,1,1,1))]. given #1271 (H,wt=19): 1445 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [para(1437(a,1),1010(a,1,2))]. given #1272 (H,wt=20): 1417 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1407(a,1),701(a,1,1)),flip(a)]. given #1273 (H,wt=15): 1513 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(240,a,700,a,b,1417,a),flip(a)]. given #1274 (H,wt=11): 1514 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1513(a,2,1)),flip(a)]. given #1275 (H,wt=11): 1515 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1514,a)]. given #1276 (H,wt=16): 1517 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1515(a,1),357(a,2,1))]. given #1277 (H,wt=15): 1518 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(240,a,171,a(flip),b,1517,a)]. given #1278 (H,wt=13): 1519 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1518,a)]. given #1279 (H,wt=18): 1516 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1515(a,1),231(a,1,2))]. given #1280 (H,wt=20): 1428 T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). [para(1420(a,1),756(a,1,2,1))]. given #1281 (H,wt=20): 1448 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1440(a,2),118(a,1,2))]. given #1282 (H,wt=20): 1450 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1440(a,2),109(a,1,2,2))]. given #1283 (H,wt=20): 1473 L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))). [para(1468(a,1),108(a,1,1))]. given #1284 (H,wt=20): 1501 (x \ 1) / (1 / x) != y | K(1 / x,1 / (1 / x)) = y. [para(589(a,1),1462(a,1,1))]. given #1285 (H,wt=20): 1520 T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). [para(38(a,1),1428(a,1,2))]. given #1286 (H,wt=21): 1395 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(240,a,839,a(flip),b,1385,a(flip)),flip(a)]. given #1287 (H,wt=19): 1522 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(854,a,1395,a)]. given #1288 (H,wt=19): 1523 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [hyper(544,a,1395,a),flip(a)]. given #1289 (H,wt=21): 1409 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1401(a,1),416(a,1,1,2)),flip(a)]. given #1290 (H,wt=21): 1454 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1440(a,2),1297(a,1,2))]. given #1291 (H,wt=21): 1455 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1440(a,2),1303(a,1,2))]. given #1292 (H,wt=21): 1503 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(240,a,937,a,b,1494,a(flip)),flip(a)]. given #1293 (H,wt=21): 1512 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1423(a,1),124(a,1,1))]. given #1294 (H,wt=21): 1527 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1503(a,1),14(a,1,2))]. given #1295 (H,wt=21): 1528 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1437(a,1),1527(a,1,1))]. given #1296 (H,wt=22): 1394 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1392(a,2),241(a,1,2)),flip(b)]. given #1297 (H,wt=22): 1414 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1410(a,1),360(a,1,2,1))]. given #1298 (H,wt=22): 1446 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1437(a,1),1050(a,1,2))]. given #1299 (H,wt=22): 1498 (K(x,x \ 1) * y) / (x * y) = R(1 / (1 / (1 / x)),x,y). [para(1488(a,1),30(a,2,1,1)),flip(a)]. given #1300 (H,wt=23): 1379 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1320(a,1,2,2,1,2)),flip(a)]. given #1301 (H,wt=23): 1382 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(240,a,411,a(flip),b,1336,a)]. given #1302 (H,wt=21): 1531 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),1382(a,1,1,2,1,2)),flip(a)]. given #1303 (H,wt=19): 1536 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1121,a,1531,a)]. given #1304 (H,wt=19): 1539 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1536(a,2),16(a,1,1))]. given #1305 (H,wt=21): 1533 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(122(a,1),1382(a,1,1)),flip(a)]. given #1306 (H,wt=21): 1538 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(1531(a,2),16(a,1,1))]. given #1307 (H,wt=21): 1541 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(59(a,1),1539(a,1,1,1,2))]. given #1308 (H,wt=23): 1383 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(240,a,839,a(flip),b,1363,a(flip)),flip(a)]. given #1309 (H,wt=23): 1451 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1440(a,2),438(a,1,1))]. given #1310 (H,wt=23): 1452 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(1440(a,2),472(a,2,2))]. given #1311 (H,wt=23): 1483 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(1472(a,1),449(a,1,2,2))]. given #1312 (H,wt=23): 1510 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1427(a,1),682(a,1,2))]. given #1313 (H,wt=23): 1511 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(65(a,1),1423(a,1,1,1,1)),flip(a)]. given #1314 (H,wt=23): 1532 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(1382(a,1),16(a,1,1))]. given #1315 (H,wt=23): 1545 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1383(a,1,2,2,1,2,2)),flip(a)]. given #1316 (H,wt=23): 1548 (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). [para(122(a,1),1532(a,1,1))]. given #1317 (H,wt=23): 1550 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(411(a,2),1545(a,1,1))]. given #1318 (H,wt=23): 1552 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1064(a,2),1545(a,1,1))]. given #1319 (H,wt=21): 1553 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(53(a,1),1552(a,2,2,2,1,2))]. given #1320 (H,wt=19): 1554 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [hyper(240,a,175,a(flip),b,1553,a)]. given #1321 (H,wt=19): 1556 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(285(a,1),1553(a,2,2))]. given #1322 (H,wt=20): 1557 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,118,a(flip),b,1554,a)]. given #1323 (H,wt=23): 1559 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1557(a,1),20(a,1)),flip(a)]. given #1324 (H,wt=24): 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(106(a,1),30(a,2,1,1)),flip(a)]. given #1325 (H,wt=24): 497 R(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [para(263(a,1),119(a,2,1))]. given #1326 (H,wt=24): 505 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(106(a,1),148(a,1,2,1))]. given #1327 (H,wt=24): 734 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). [para(628(a,1),26(a,2,1)),flip(a)]. given #1328 (H,wt=24): 737 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(123(a,1),660(a,1,1))]. given #1329 (H,wt=24): 761 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(357(a,2),230(a,1,2))]. given #1330 (H,wt=24): 787 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(611(a,1),203(a,1,1))]. given #1331 (H,wt=21): 1560 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(75,a,579,a(flip),b,787,a)]. given #1332 (H,wt=21): 1561 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1560(a,1,1,1)),flip(a)]. given #1333 (H,wt=24): 790 (x / y) * R((x / y) \ z,x / y,y) = ((z * y) / x) * (x / y). [para(491(a,1),611(a,1,1)),flip(a)]. given #1334 (H,wt=24): 795 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(401,a,613,a(flip),b,312,a(flip)),flip(a)]. given #1335 (H,wt=24): 820 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(454(a,1),785(a,2,1,2))]. given #1336 (H,wt=24): 824 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(793(a,2),381(a,1,1))]. given #1337 (H,wt=24): 837 (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. [para(123(a,1),384(a,1,2,1))]. given #1338 (H,wt=24): 842 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),448(a,1,2))]. given #1339 (H,wt=24): 846 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(462(a,1),44(a,1,1)),flip(a)]. given #1340 (H,wt=24): 883 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(40(a,2),687(a,1,2,1))]. given #1341 (H,wt=24): 958 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(714(a,1),40(a,2,1))]. given #1342 (H,wt=24): 994 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(983(a,1),269(a,1,2))]. given #1343 (H,wt=24): 1033 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1025(a,2),624(a,1,1,1)),flip(a)]. given #1344 (H,wt=24): 1063 (x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z. [para(856(a,1),19(a,1)),flip(a)]. given #1345 (H,wt=24): 1070 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(235(a,1),947(a,1,2)),flip(a)]. given #1346 (H,wt=24): 1077 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(789(a,2),953(a,1,2))]. given #1347 (H,wt=24): 1079 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(73,a,363,a(flip),b,1076,a),flip(a)]. given #1348 (H,wt=19): 1566 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(240,a,790,a(flip),b,1079,a(flip))]. given #1349 (H,wt=17): 1567 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(11(a,1),1566(a,2,1,1))]. given #1350 (H,wt=17): 1568 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1567(a,1),14(a,1,2))]. given #1351 (H,wt=21): 1569 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(240,a,62,a(flip),b,1568,a)]. given #1352 (H,wt=17): 1570 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(62(a,1),1569(a,1,2,1))]. given #1353 (H,wt=24): 1091 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1087(a,1),98(a,1,1))]. given #1354 (H,wt=24): 1096 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(957(a,1),20(a,1))]. given #1355 (H,wt=24): 1149 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(352(a,1),1146(a,1,2)),flip(a)]. given #1356 (H,wt=17): 1573 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(352(a,1),1149(a,1,1)),flip(a)]. given #1357 (H,wt=17): 1575 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1573(a,1),14(a,1,2))]. given #1358 (H,wt=21): 1574 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1573(a,1,2)),flip(a)]. given #1359 (H,wt=17): 1577 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1574(a,1,1)),flip(a)]. given #1360 (H,wt=17): 1578 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1577(a,1),14(a,1,2))]. given #1361 (H,wt=24): 1154 (1 / x) * (((y * x) \ y) * x) != z * u | z \ ((y * x) \ y) = u. [para(1152(a,1),376(a,1,2))]. given #1362 (H,wt=24): 1158 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1140(a,1),299(a,1,1)),flip(b)]. given #1363 (H,wt=24): 1192 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(122(a,1),786(a,2,1,2))]. given #1364 (H,wt=24): 1203 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(1201(a,1),250(a,1,1)),flip(b)]. given #1365 (H,wt=24): 1222 x * (x * T(x \ T(y,x),x)) != x * z | T((x \ y) * x,x) = z. [para(1220(a,2),183(a,2)),flip(a)]. given #1366 (H,wt=24): 1273 (x * (y * x)) / x != T(x,y * x) * z | T(y,T(x,y * x)) = z. [para(1253(a,2),183(a,2)),flip(a)]. given #1367 (H,wt=24): 1306 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1297(a,2),517(a,1))]. given #1368 (H,wt=24): 1310 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1304(a,1),26(a,2,1)),flip(a)]. given #1369 (H,wt=24): 1318 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1302(a,1),1204(a,1,1,1)),flip(a)]. given #1370 (H,wt=20): 1580 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1318(a,2,1))]. given #1371 (H,wt=20): 1581 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1580(a,1),413(a,1,1)),flip(a)]. given #1372 (H,wt=18): 1582 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,192,a,b,1581,a),flip(a)]. given #1373 (H,wt=24): 1399 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1396(a,1),745(a,1,1))]. given #1374 (H,wt=20): 1583 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(414(a,1),1399(a,1,2)),flip(a)]. given #1375 (H,wt=16): 1584 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(414(a,1),1583(a,1,2)),flip(a)]. given #1376 (H,wt=22): 1585 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1584(a,1),46(a,1,1)),flip(a)]. given #1377 (H,wt=24): 1495 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1493(a,1),28(a,2,2,2))]. given #1378 (H,wt=24): 1529 K(x,x \ 1) * y != x * (T(x,z) / x) | T(1 / (1 / x),z) = y. [para(1528(a,1),19(a,1)),flip(a)]. given #1379 (H,wt=24): 1564 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(44(a,1),883(a,1,2))]. given #1380 (H,wt=23): 1587 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(857(a,1),1564(a,1,2,1)),flip(a)]. given #1381 (H,wt=23): 1588 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(603(a,1),1587(a,1,1))]. given #1382 (H,wt=24): 1579 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(416(a,1),1192(a,1,1))]. given #1383 (H,wt=25): 672 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(171(a,2),107(a,1,2,2,1))]. given #1384 (H,wt=25): 723 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(172(a,2),491(a,1,1,2))]. given #1385 (H,wt=25): 724 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(172(a,2),491(a,1,2))]. given #1386 (H,wt=25): 730 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(625(a,1),312(a,1,1)),flip(a)]. given #1387 (H,wt=21): 1589 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),730(a,2,1,1,2))]. given #1388 (H,wt=21): 1590 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(240,a,411,a(flip),b,1589,a)]. given #1389 (H,wt=21): 1591 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),1590(a,1,1,1,2))]. given #1390 (H,wt=20): 1592 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(880,a,1591,a)]. given #1391 (H,wt=24): 1593 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1442(a,1),1592(a,1,1,1)),flip(a)]. given #1392 (H,wt=19): 1594 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(240,a,857,a(flip),b,1593,a)]. given #1393 (H,wt=25): 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),438(a,1,1)),flip(a)]. given #1394 (H,wt=25): 775 (x * y) \ (x * R(y,z,z \ 1)) != u | L(a(y,z,z \ 1),y,x) = u. [para(679(a,1),449(a,1,2,2))]. given #1395 (H,wt=25): 827 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(793(a,1),233(a,1,1))]. given #1396 (H,wt=25): 828 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(200(a,1),398(a,1,1))]. given #1397 (H,wt=25): 893 ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) != z | a(x \ 1,x,y) = z. [para(198(a,2),669(a,1,2,1))]. given #1398 (H,wt=25): 904 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),865(a,1,2,1))]. given #1399 (H,wt=25): 938 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(235(a,1),446(a,1,2,1))]. given #1400 (H,wt=25): 940 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(108(a,1),447(a,1,2,1))]. given #1401 (H,wt=25): 941 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(235(a,1),447(a,1,2,1))]. given #1402 (H,wt=25): 944 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(119(a,1),478(a,1,1,1))]. given #1403 (H,wt=21): 1597 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(815,a,944,a),flip(a)]. given #1404 (H,wt=17): 1599 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(604(a,1),1597(a,1,1))]. given #1405 (H,wt=15): 1602 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(386,a,1599,a),flip(a)]. given #1406 (H,wt=15): 1606 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(75,a,63,a(flip),b,1599,a),flip(a)]. given #1407 (H,wt=15): 1611 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(90,a,1606,a)]. given #1408 (H,wt=17): 1600 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(558,a,1599,a)]. given #1409 (H,wt=17): 1601 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(522,a,1599,a)]. given #1410 (H,wt=17): 1604 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(81,a,1599,a)]. given #1411 (H,wt=17): 1605 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(75,a,92,a(flip),b,1599,a)]. given #1412 (H,wt=17): 1607 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(73,a,92,a(flip),b,1599,a)]. given #1413 (H,wt=17): 1610 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(401,a,xx,b,1602,a)]. given #1414 (H,wt=18): 1608 ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z. [para(106(a,1),1599(a,1,1)),flip(a)]. given #1415 (H,wt=18): 1614 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1600(a,1),302(a,1))]. given #1416 (H,wt=18): 1616 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(142(a,1),1601(a,1,1,1)),flip(a)]. given #1417 (H,wt=18): 1618 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1604(a,1),966(a,1,1)),flip(a)]. given #1418 (H,wt=18): 1619 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(106(a,1),1605(a,1,1)),flip(a)]. given #1419 (H,wt=18): 1624 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(81,a,1619,a),flip(a)]. given #1420 (H,wt=19): 1603 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(240,a,55,a(flip),b,1599,a)]. given #1421 (H,wt=18): 1627 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(171(a,1),1603(a,1,1,2))]. given #1422 (H,wt=17): 1628 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(240,a,171,a(flip),b,1627,a)]. given #1423 (H,wt=19): 1623 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1618(a,1),607(a,1,2))]. given #1424 (H,wt=20): 1615 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1601(a,1),298(a,1,2)),flip(b)]. given #1425 (H,wt=20): 1620 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1607(a,1),298(a,1,2)),flip(b)]. given #1426 (H,wt=18): 1632 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(11(a,1),1620(a,1,1))]. given #1427 (H,wt=21): 1622 ((x * y) * z) \ ((x * (y * z)) * z) != u | L(z,y,x) = u. [para(1608(a,1),241(a,1,2)),flip(b)]. given #1428 (H,wt=22): 1621 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1610(a,1),194(a,1,1))]. given #1429 (H,wt=22): 1626 L(x \ 1,y,z) != u * (x \ 1) | x * L(x \ 1,y,z) = u. [para(1603(a,1),20(a,1))]. given #1430 (H,wt=24): 1617 (x * L(y,z,u)) * y != w * v5 | ((x * y) * L(y,z,u)) / v5 = w. [para(1604(a,1),295(a,1,2))]. given #1431 (H,wt=25): 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(119(a,1),479(a,1,1,1))]. given #1432 (H,wt=25): 964 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(821(a,1),118(a,1,1))]. given #1433 (H,wt=25): 971 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [para(14(a,1),665(a,1,2,1,2))]. given #1434 (H,wt=25): 1032 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(393(a,1),1025(a,2,2)),flip(a)]. given #1435 (H,wt=20): 1636 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(827,a,1032,a)]. given #1436 (H,wt=18): 1637 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1341(a,1),1636(a,1,1))]. given #1437 (H,wt=18): 1638 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(90,a,1637,a)]. given #1438 (H,wt=20): 1639 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(177(a,1),1637(a,1,1,2)),flip(a)]. given #1439 (H,wt=21): 1640 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1637(a,1),299(a,1,1)),flip(b)]. given #1440 (H,wt=22): 1641 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(65(a,1),1638(a,1,1,2,2)),flip(a)]. given #1441 (H,wt=20): 1644 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(240,a,1354,a(flip),b,1641,a(flip))]. given #1442 (H,wt=20): 1646 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1644(a,1),16(a,1,1))]. given #1443 (H,wt=25): 1083 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(401,a,172,a(flip),b,1082,a),flip(a)]. given #1444 (H,wt=25): 1142 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [hyper(73,a,319,a(flip),b,1074,a),flip(a)]. given #1445 (H,wt=21): 1648 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(62(a,1),1142(a,1,1,2,1))]. given #1446 (H,wt=25): 1143 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),1075(a,1,1,1,2))]. given #1447 (H,wt=21): 1650 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),1143(a,1,2)),flip(a)]. given #1448 (H,wt=19): 1651 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1650(a,2,1,1))]. given #1449 (H,wt=25): 1184 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(454(a,1),707(a,1,2,1)),flip(a)]. given #1450 (H,wt=25): 1185 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(458(a,1),713(a,1,2,1)),flip(a)]. given #1451 (H,wt=25): 1186 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(715(a,1),435(a,1,2)),flip(a)]. given #1452 (H,wt=25): 1187 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(722(a,1),311(a,1,1)),flip(a)]. given #1453 (H,wt=23): 1655 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1187(a,2,1,1,1))]. given #1454 (H,wt=23): 1656 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(240,a,611,a(flip),b,1655,a)]. given #1455 (H,wt=23): 1657 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(611(a,1),1656(a,1,1))]. given #1456 (H,wt=23): 1658 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(90,a,1657,a),flip(a)]. given #1457 (H,wt=25): 1193 ((((x * y) * z) / (x * y)) * x) * y != u | (x * y) * R(z,x,y) = u. [para(797(a,1),226(a,1,1)),flip(b)]. given #1458 (H,wt=25): 1194 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(171(a,1),816(a,1,2,1,2))]. given #1459 (H,wt=19): 1660 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(73,a,1037,a(flip),b,1194,a(flip))]. given #1460 (H,wt=20): 1662 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1660(a,2),1646(a,1,1)),flip(a)]. given #1461 (H,wt=25): 1198 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(818(a,1),436(a,1,2)),flip(a)]. given #1462 (H,wt=25): 1209 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),474(a,1,1,1))]. given #1463 (H,wt=25): 1231 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(785(a,2),1229(a,1,2,1,2))]. given #1464 (H,wt=25): 1233 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(864(a,1),1219(a,1,2)),flip(a)]. given #1465 (H,wt=25): 1234 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(908(a,1),1219(a,1,2)),flip(a)]. given #1466 (H,wt=25): 1294 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(177(a,1),897(a,1,2,2))]. given #1467 (H,wt=23): 1664 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1248(a,1),1294(a,1,2))]. given #1468 (H,wt=25): 1311 L(x,y,z) \ x != (L(x,y,z) \ 1) * u | T(x,L(x,y,z) \ 1) = u. [para(1304(a,1),183(a,2)),flip(a)]. given #1469 (H,wt=25): 1319 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(198(a,2),1303(a,1,2))]. given #1470 (H,wt=25): 1338 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),1337(a,1,2,1,1)),flip(a)]. given #1471 (H,wt=21): 1665 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),1338(a,1,1,1)),flip(a)]. given #1472 (H,wt=25): 1434 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1430(a,1),1065(a,1,1,1))]. given #1473 (H,wt=25): 1486 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1474(a,1),192(a,1,2,1)),flip(a)]. given #1474 (H,wt=25): 1499 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1488(a,1),483(a,1,1,1))]. given #1475 (H,wt=25): 1571 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(401,a,xx,b,1570,a)]. given #1476 (H,wt=25): 1576 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(401,a,xx,b,1575,a)]. given #1477 (H,wt=25): 1586 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1584(a,1),1178(a,1,1))]. given #1478 (H,wt=23): 1668 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(194(a,1),1586(a,1,2))]. given #1479 (H,wt=21): 1669 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(240,a,1393,a(flip),b,1668,a)]. given #1480 (H,wt=25): 1595 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1443(a,1),1594(a,1,1,2,1))]. given #1481 (H,wt=25): 1598 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(798,a,944,a)]. given #1482 (H,wt=25): 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(805,a,945,a)]. given #1483 (H,wt=25): 1634 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(896,a,964,a)]. given #1484 (H,wt=25): 1642 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1638(a,1),923(a,1,3)),flip(a)]. given #1485 (H,wt=25): 1647 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1083(a,1),390(a,1))]. given #1486 (H,wt=25): 1652 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(81,a,1184,a)]. given #1487 (H,wt=23): 1673 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1652(a,1,2,2,1,2)),flip(a)]. given #1488 (H,wt=25): 1653 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),1185(a,2,2,1,2))]. given #1489 (H,wt=25): 1654 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(81,a,1186,a)]. given #1490 (H,wt=23): 1676 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1654(a,1,2,2,1,2)),flip(a)]. given #1491 (H,wt=25): 1663 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(81,a,1198,a)]. given #1492 (H,wt=21): 1677 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1663(a,1,2,2,1))]. given #1493 (H,wt=17): 1678 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(427,a,1677,a)]. given #1494 (H,wt=17): 1680 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(240,a,1660,a,b,1678,a),flip(a)]. given #1495 (H,wt=17): 1681 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(240,a,1345,a(flip),b,1678,a)]. given #1496 (H,wt=17): 1684 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1680(a,1),14(a,1,2))]. given #1497 (H,wt=17): 1685 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),1684(a,1,2,2,1)),flip(a)]. given #1498 (H,wt=20): 1679 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1677(a,1),427(a,1))]. given #1499 (H,wt=20): 1686 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(116(a,2),1685(a,1,2))]. given #1500 (H,wt=16): 1687 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1686(a,2,2,2))]. given #1501 (H,wt=24): 1682 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1101(a,1),1678(a,1,2)),flip(a)]. given #1502 (H,wt=22): 1688 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1087(a,1),1682(a,1,2,1))]. given #1503 (H,wt=24): 1683 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1611(a,1),1678(a,1,2)),flip(a)]. given #1504 (H,wt=25): 1666 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1665(a,1),1053(a,1,2)),flip(a)]. given #1505 (H,wt=25): 1667 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1440(a,2),1434(a,1,1))]. given #1506 (H,wt=25): 1670 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(603(a,1),1598(a,2,1))]. given #1507 (H,wt=23): 1691 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(182,a,1670,a(flip),b,941,a(flip)),flip(a)]. given #1508 (H,wt=21): 1694 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1691(a,1,2,1,2)),flip(a)]. given #1509 (H,wt=19): 1696 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(153(a,1),1694(a,2,2,1,2))]. given #1510 (H,wt=12): 1697 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1696,a)]. given #1511 (H,wt=11): 1699 T(x,x * ((y * x) \ y)) = x. [para(171(a,1),1697(a,1,2,2))]. given #1512 (H,wt=12): 1698 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1697,a)]. given #1513 (H,wt=14): 1702 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1069(a,1),1697(a,1,2))]. given #1514 (H,wt=14): 1703 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1651(a,1),1697(a,1,2))]. given #1515 (H,wt=15): 1700 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(352(a,1),1697(a,1,2,2))]. given #1516 (H,wt=16): 1701 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(605(a,1),1697(a,1,2))]. given #1517 (H,wt=20): 1707 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1701(a,1),742(a,1,1))]. given #1518 (H,wt=21): 1695 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(73,a,1694,a,b,xx)]. given #1519 (H,wt=21): 1705 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(917(a,1),1699(a,1,2,2,1))]. given #1520 (H,wt=21): 1708 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1695(a,1,2,1,2,1)),flip(a)]. given #1521 (H,wt=21): 1710 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1229(a,1),1708(a,1,1)),flip(a)]. given #1522 (H,wt=21): 1711 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(240,a,1231,a(flip),b,1710,a(flip))]. given #1523 (H,wt=22): 1704 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1699(a,1),594(a,1,1,2))]. given #1524 (H,wt=22): 1706 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1703(a,1),416(a,1,1,2)),flip(a)]. given #1525 (H,wt=23): 1692 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1670(a,1,2,1,2))]. given #1526 (H,wt=23): 1712 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(240,a,941,a(flip),b,1692,a(flip)),flip(a)]. given #1527 (H,wt=23): 1715 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(75,a,1653,a(flip),b,1712,a(flip)),flip(a)]. given #1528 (H,wt=25): 1671 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(611(a,1),1633(a,2,1))]. given #1529 (H,wt=21): 1722 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1671(a,1,2,1)),flip(a)]. given #1530 (H,wt=17): 1726 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1722(a,1,1,2,1))]. given #1531 (H,wt=15): 1728 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(386,a,1726,a),flip(a)]. given #1532 (H,wt=15): 1731 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(90,a,1728,a)]. given #1533 (H,wt=17): 1727 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(522,a,1726,a)]. given #1534 (H,wt=17): 1729 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(81,a,1726,a)]. given #1535 (H,wt=17): 1730 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(75,a,92,a(flip),b,1726,a)]. given #1536 (H,wt=18): 1732 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1731(a,1),226(a,1,1)),flip(b)]. given #1537 (H,wt=18): 1735 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1729(a,1),966(a,1,1)),flip(a)]. given #1538 (H,wt=19): 1738 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1735(a,1),607(a,1,2))]. given #1539 (H,wt=20): 1733 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1727(a,1),298(a,1,2)),flip(b)]. given #1540 (H,wt=23): 1719 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(182,a,1671,a(flip),b,938,a(flip)),flip(a)]. given #1541 (H,wt=21): 1740 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1719(a,1,2,1,2)),flip(a)]. given #1542 (H,wt=19): 1743 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(153(a,1),1740(a,2,2,1,2))]. given #1543 (H,wt=12): 1744 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1743,a)]. given #1544 (H,wt=11): 1747 T(x,(y / (x * y)) * x) = x. [para(628(a,2),1744(a,1,2))]. given #1545 (H,wt=14): 1749 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1086(a,1),1744(a,1,2))]. given #1546 (H,wt=16): 1746 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1744(a,1,2,2,1))]. given #1547 (H,wt=16): 1748 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(614(a,1),1744(a,1,2))]. given #1548 (H,wt=18): 1751 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1749(a,1),38(a,1,1)),flip(a)]. given #1549 (H,wt=20): 1753 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1748(a,1),742(a,1,1))]. given #1550 (H,wt=21): 1741 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(75,a,1740,a,b,611,a)]. given #1551 (H,wt=21): 1742 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(73,a,1740,a,b,xx)]. given #1552 (H,wt=21): 1754 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1741(a,1,1,1,2,1)),flip(a)]. given #1553 (H,wt=23): 1721 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1671(a,1,2,1,2))]. given #1554 (H,wt=23): 1736 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(240,a,850,a(flip),b,1735,a(flip)),flip(a)]. given #1555 (H,wt=21): 1758 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(240,a,124,a(flip),b,1736,a)]. given #1556 (H,wt=21): 1759 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1758(a,1),14(a,1,2))]. given #1557 (H,wt=20): 1760 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(172(a,1),1759(a,1,1,2))]. given #1558 (H,wt=18): 1761 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(240,a,11,a(flip),b,1760,a)]. given #1559 (H,wt=20): 1762 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(14(a,1),1761(a,1,1,2,2))]. given #1560 (H,wt=23): 1756 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(240,a,938,a(flip),b,1721,a(flip)),flip(a)]. given #1561 (H,wt=24): 1734 (x * R(y,z,u)) * y != w * v5 | ((x * y) * R(y,z,u)) / v5 = w. [para(1729(a,1),295(a,1,2))]. given #1562 (H,wt=25): 1672 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(806(a,1),1634(a,2,1))]. given #1563 (H,wt=23): 1764 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(240,a,1194,a(flip),b,1672,a(flip))]. given #1564 (H,wt=25): 1674 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(14(a,1),1652(a,1,2,2,1,2)),flip(a)]. given #1565 (H,wt=25): 1689 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(240,a,941,a(flip),b,1670,a(flip)),flip(a)]. given #1566 (H,wt=25): 1717 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(240,a,938,a(flip),b,1671,a(flip)),flip(a)]. given #1567 (H,wt=25): 1737 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1735(a,1),193(a,1,2)),flip(a)]. given #1568 (H,wt=25): 1750 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1747(a,1),1018(a,1,1,1)),flip(a)]. given #1569 (H,wt=24): 1769 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(622(a,1),1750(a,1,2))]. given #1570 (H,wt=25): 1752 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1746(a,1),594(a,1,1,2))]. given #1571 (H,wt=25): 1768 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(16(a,1),1689(a,1,2,2,1,2,2)),flip(a)]. given #1572 (H,wt=26): 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(106(a,1),28(a,2,1)),flip(a)]. given #1573 (H,wt=26): 453 (x * (y * z)) * L(u,L(z,y,x),x * y) = (x * y) * (L(z,y,x) * u). [para(106(a,1),106(a,1,1))]. given #1574 (H,wt=26): 465 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(106(a,1),108(a,2,1))]. given #1575 (H,wt=19): 1773 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(240,a,24,a,b,465,a),flip(a)]. given #1576 (H,wt=26): 476 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(118(a,1),30(a,2,2)),flip(a)]. given #1577 (H,wt=26): 486 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(118(a,1),106(a,1,1))]. given #1578 (H,wt=26): 487 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(118(a,1),118(a,1,2))]. given #1579 (H,wt=26): 499 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(118(a,1),119(a,2,2))]. given #1580 (H,wt=26): 631 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(73,a,270,a(flip),b,106,a)]. given #1581 (H,wt=26): 634 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(270(a,2),269(a,1,1))]. given #1582 (H,wt=26): 644 R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. [para(203(a,1),390(a,1,1))]. given #1583 (H,wt=26): 709 L(x,y \ z,y) * u != y * ((y \ z) * x) | T(z,L(x,y \ z,y)) = u. [para(435(a,1),183(a,2))]. given #1584 (H,wt=26): 772 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(106(a,1),449(a,1,2,2))]. given #1585 (H,wt=26): 814 R(R(x,y,z),y * z,u) != w | (((x * y) * z) * u) / ((y * z) * u) = w. [para(30(a,2),781(a,1,1))]. given #1586 (H,wt=26): 845 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(461(a,2),230(a,1,2))]. given #1587 (H,wt=26): 852 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(122(a,1),503(a,1,2))]. given #1588 (H,wt=26): 894 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(240,a,402,a,b,806,a(flip)),flip(a)]. given #1589 (H,wt=23): 1775 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(825(a,1),894(a,1,1))]. given #1590 (H,wt=26): 927 (x \ 1) * T((x \ 1) \ (x \ y),z) != u * w | (x \ T(y,z)) / w = u. [para(909(a,1),295(a,1,2))]. given #1591 (H,wt=26): 928 (x \ 1) * T((x \ 1) \ (x \ y),z) != u * w | u \ (x \ T(y,z)) = w. [para(909(a,1),376(a,1,2))]. given #1592 (H,wt=26): 936 (1 / x) * T((1 / x) \ (y / x),z) != u * w | (T(y,z) / x) / w = u. [para(933(a,1),295(a,1,2))]. given #1593 (H,wt=26): 939 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(198(a,2),447(a,1,1))]. given #1594 (H,wt=26): 974 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(235(a,1),758(a,1,2,1))]. given #1595 (H,wt=26): 975 T((x * y) / (z * y),u) * (z * y) != w | (T(x / z,u) * z) * y = w. [para(119(a,1),762(a,1,1,1))]. given #1596 (H,wt=26): 1016 T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. [para(986(a,1),387(a,1,1))]. given #1597 (H,wt=26): 1043 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(203(a,1),1041(a,1,1,1,1))]. given #1598 (H,wt=26): 1128 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(622(a,1),1122(a,2,1))]. given #1599 (H,wt=26): 1162 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(860,a,1161,a),flip(a)]. given #1600 (H,wt=26): 1190 (x * y) * L(T(y,x),z,u) != w * v5 | w \ ((L(y,z,u) * x) * y) = v5. [para(1188(a,2),517(a,1))]. given #1601 (H,wt=26): 1212 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(652(a,2),19(a,1))]. given #1602 (H,wt=26): 1278 ((x \ y) * y) / (x \ y) != T(x \ y,y) * z | T(x,T(x \ y,y)) = z. [para(1267(a,2),183(a,2)),flip(a)]. given #1603 (H,wt=26): 1284 T(x,y) * z != (x * y) * T(T(x,y),u) | T(T(x,u) * y,T(x,y)) = z. [para(1282(a,1),183(a,2))]. given #1604 (H,wt=26): 1298 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(860,a,1297,a),flip(a)]. given #1605 (H,wt=26): 1305 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(73,a,1297,a(flip),b,98,a)]. given #1606 (H,wt=26): 1476 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1469(a,1),106(a,1,1))]. given #1607 (H,wt=23): 1777 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(17,a,943,a,b,1476,a(flip)),flip(a)]. given #1608 (H,wt=26): 1477 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1469(a,1),108(a,2,1))]. given #1609 (H,wt=26): 1478 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1469(a,1),118(a,1,2))]. given #1610 (H,wt=26): 1525 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1088(a,1),1522(a,1,1,2,1))]. given #1611 (H,wt=25): 1778 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(199(a,1),1525(a,1,1))]. given #1612 (H,wt=24): 1779 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1485(a,1),1778(a,1,1))]. given #1613 (H,wt=26): 1565 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1025(a,2),1077(a,1,2,1,1)),flip(a)]. given #1614 (H,wt=26): 1625 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1619(a,1),183(a,2)),flip(a)]. given #1615 (H,wt=26): 1643 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1639(a,1),998(a,1,2,1)),flip(a)]. given #1616 (H,wt=21): 1780 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1639(a,1),1643(a,1,1)),flip(a)]. given #1617 (H,wt=26): 1776 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(42(a,2),1043(a,1,1,1))]. given #1618 (H,wt=19): 1781 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(402(a,1),1776(a,1,1))]. given #1619 (H,wt=18): 1782 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(203(a,1),1781(a,1,2))]. given #1620 (H,wt=22): 1783 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1782(a,1),38(a,1,1)),flip(a)]. given #1621 (H,wt=18): 1784 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1283(a,1),1783(a,1,1))]. given #1622 (H,wt=22): 1785 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1784(a,1,1)),flip(a)]. given #1623 (H,wt=19): 1786 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1785(a,2,2))]. given #1624 (H,wt=15): 1787 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1786(a,1,1))]. given #1625 (H,wt=13): 1788 T(x,x * (y \ 1)) = T(x,y \ x). [para(124(a,1),1787(a,1,2)),flip(a)]. given #1626 (H,wt=27): 460 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),108(a,1,1)),flip(a)]. given #1627 (H,wt=27): 673 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(106(a,1),109(a,1,2,2)),flip(a)]. given #1628 (H,wt=27): 735 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(628(a,1),269(a,1,1))]. given #1629 (H,wt=27): 779 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),472(a,2,2))]. given #1630 (H,wt=27): 862 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(357(a,1),570(a,1,1))]. given #1631 (H,wt=27): 946 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(482(a,2),517(a,1))]. given #1632 (H,wt=27): 961 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(725(a,2),231(a,1,2))]. given #1633 (H,wt=27): 1093 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1087(a,1),658(a,2,1))]. given #1634 (H,wt=25): 1789 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1752(a,1),1093(a,1,1))]. given #1635 (H,wt=23): 1790 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(799,a,1789,a)]. given #1636 (H,wt=27): 1104 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1098(a,1),108(a,2,1))]. given #1637 (H,wt=27): 1126 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1026(a,1),1120(a,1,2,1,2))]. given #1638 (H,wt=25): 1791 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1268(a,1),1126(a,1,2,1))]. given #1639 (H,wt=25): 1792 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1791(a,1),14(a,1,2))]. given #1640 (H,wt=23): 1793 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(240,a,1323,a(flip),b,1792,a(flip))]. given #1641 (H,wt=27): 1182 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(674(a,1),1175(a,1,1)),flip(a)]. given #1642 (H,wt=23): 1794 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1182(a,1,2,1)),flip(a)]. given #1643 (H,wt=27): 1183 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(641,a,271,a)]. given #1644 (H,wt=27): 1195 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(108(a,1),816(a,1,2,1,2))]. given #1645 (H,wt=27): 1196 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(235(a,1),816(a,1,2,1,2))]. given #1646 (H,wt=27): 1274 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(240,a,1127,a(flip),b,1257,a(flip)),flip(a)]. given #1647 (H,wt=27): 1330 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),1325(a,2,2,1,2,2))]. given #1648 (H,wt=23): 1799 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),1330(a,1,2,1)),flip(a)]. given #1649 (H,wt=25): 1800 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1119(a,1),1799(a,1,2))]. given #1650 (H,wt=25): 1801 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(81,a,1800,a)]. given #1651 (H,wt=27): 1332 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1328(a,1,1,2))]. given #1652 (H,wt=27): 1460 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1438(a,1),438(a,1,1))]. given #1653 (H,wt=27): 1509 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1507(a,1),1238(a,1,2,1))]. given #1654 (H,wt=23): 1803 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1507(a,1),1509(a,2,1))]. given #1655 (H,wt=23): 1804 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(81,a,1803,a)]. given #1656 (H,wt=26): 1805 (x \ 1) \ (K(x,x \ 1) * y) != K(x,x \ 1) * z | (x \ 1) \ y = z. [para(1803(a,1),80(a,1,2)),flip(b)]. given #1657 (H,wt=27): 1534 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(838(a,1),1382(a,1,1)),flip(a)]. given #1658 (H,wt=27): 1537 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(240,a,1066,a,b,1531,a(flip)),flip(a)]. given #1659 (H,wt=27): 1542 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(240,a,409,a(flip),b,1541,a)]. given #1660 (H,wt=27): 1544 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1383(a,1,2,2,1,2,2))]. given #1661 (H,wt=27): 1551 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(864(a,1),1545(a,1,1)),flip(a)]. given #1662 (H,wt=27): 1562 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(820(a,1),435(a,1,2)),flip(a)]. given #1663 (H,wt=25): 1807 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1562(a,2,2,1,2,2))]. given #1664 (H,wt=21): 1809 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1678(a,2),1807(a,1,2))]. given #1665 (H,wt=25): 1808 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(81,a,1807,a),flip(a)]. given #1666 (H,wt=25): 1810 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1809(a,1,2,2,1,2)),flip(a)]. given #1667 (H,wt=21): 1811 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(182,a,1672,a(flip),b,1810,a(flip))]. given #1668 (H,wt=25): 1812 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(240,a,1678,a(flip),b,1811,a),flip(a)]. given #1669 (H,wt=21): 1813 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1812(a,2,1,2,1))]. given #1670 (H,wt=19): 1815 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(988(a,1),1813(a,1,2,1))]. given #1671 (H,wt=19): 1816 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1440(a,2),1815(a,2,1))]. given #1672 (H,wt=27): 1612 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1606(a,1),108(a,2,1))]. given #1673 (H,wt=27): 1690 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(240,a,833,a(flip),b,1670,a(flip))]. given #1674 (H,wt=25): 1817 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(833(a,1),1690(a,1,1))]. given #1675 (H,wt=25): 1818 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(75,a,92,a(flip),b,1817,a)]. given #1676 (H,wt=27): 1713 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(240,a,940,a(flip),b,1692,a(flip)),flip(a)]. given #1677 (H,wt=25): 1819 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1692(a,1),1713(a,1,2)),flip(a)]. given #1678 (H,wt=27): 1718 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(182,a,1671,a(flip),b,1186,a),flip(a)]. given #1679 (H,wt=25): 1821 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1718(a,1,1))]. given #1680 (H,wt=23): 1822 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1821(a,1,2,1,1))]. given #1681 (H,wt=27): 1745 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1743(a,1),1227(a,2,2,1))]. given #1682 (H,wt=23): 1824 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(621(a,1),1745(a,2,2))]. given #1683 (H,wt=19): 1825 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(621(a,1),1824(a,1,1,2))]. given #1684 (H,wt=18): 1826 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(172(a,1),1825(a,1,1,2))]. given #1685 (H,wt=17): 1827 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(172(a,1),1826(a,2,2))]. given #1686 (H,wt=11): 1828 T(x,x * (y / (x * y))) = x. [hyper(35,a,1827,a)]. given #1687 (H,wt=11): 1830 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1828(a,1,2,2,2))]. given #1688 (H,wt=15): 1831 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1828(a,1,2,2,2))]. given #1689 (H,wt=17): 1833 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1831(a,1),194(a,1,1)),flip(a)]. given #1690 (H,wt=15): 1834 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(240,a,124,a(flip),b,1833,a)]. given #1691 (H,wt=19): 1832 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1830(a,1),272(a,1,1)),flip(a)]. given #1692 (H,wt=22): 1829 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(240,a,1769,a,b,1827,a(flip)),flip(a)]. given #1693 (H,wt=27): 1763 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1756(a,1,2,2,1,2))]. given #1694 (H,wt=25): 1837 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1721(a,1),1763(a,1,2)),flip(a)]. given #1695 (H,wt=27): 1770 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [hyper(401,a,xx,b,1768,a),flip(a)]. given #1696 (H,wt=27): 1802 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1700(a,1),1332(a,2,2,2))]. given #1697 (H,wt=21): 1839 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(240,a,219,a(flip),b,1802,a)]. given #1698 (H,wt=19): 1841 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1839(a,1),1067(a,1,1)),flip(a)]. given #1699 (H,wt=17): 1842 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(240,a,1576,a(flip),b,1841,a(flip)),flip(a)]. given #1700 (H,wt=18): 1843 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(390,a,1842,a)]. given #1701 (H,wt=21): 1844 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1842(a,1,1,2))]. given #1702 (H,wt=17): 1847 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1844(a,2,2))]. given #1703 (H,wt=14): 1848 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(390,a,1847,a)]. given #1704 (H,wt=12): 1851 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1848(a,1,3,1))]. given #1705 (H,wt=14): 1852 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(16(a,1),1848(a,1,3,1))]. given #1706 (H,wt=16): 1854 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1851(a,1),40(a,2,1))]. given #1707 (H,wt=17): 1849 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1847(a,1),14(a,1,2))]. given #1708 (H,wt=17): 1850 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1847(a,1),62(a,1,2))]. given #1709 (H,wt=17): 1858 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1852(a,1),360(a,1,2))]. given #1710 (H,wt=18): 1860 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(171(a,2),1849(a,1,1,1)),flip(a)]. given #1711 (H,wt=19): 1853 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1848(a,1),359(a,1,1)),flip(a)]. given #1712 (H,wt=19): 1863 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(568,a,1860,a)]. given #1713 (H,wt=22): 1845 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1843(a,1,3))]. given #1714 (H,wt=17): 1864 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(240,a,171,a(flip),b,1845,a(flip)),flip(a)]. given #1715 (H,wt=22): 1855 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1851(a,1),1588(a,1,1,2)),flip(a)]. given #1716 (H,wt=22): 1856 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1851(a,1),1712(a,2,1,2))]. given #1717 (H,wt=22): 1865 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1440(a,2),1855(a,2,1))]. given #1718 (H,wt=19): 1866 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1865(a,1),1856(a,1,2))]. given #1719 (H,wt=13): 1867 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(17,a,12,a(flip),b,1866,a)]. given #1720 (H,wt=13): 1869 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(1516,a,1867,a)]. given #1721 (H,wt=19): 1868 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1440(a,2),1866(a,2,1))]. given #1722 (H,wt=19): 1871 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(81,a,1868,a)]. given #1723 (H,wt=19): 1872 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1868(a,1,2,2)),flip(a)]. given #1724 (H,wt=22): 1873 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1868(a,1),241(a,1,2)),flip(b)]. given #1725 (H,wt=22): 1875 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1872(a,1),19(a,1)),flip(a)]. given #1726 (H,wt=23): 1859 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1854(a,1),451(a,1,2))]. given #1727 (H,wt=24): 1846 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1843(a,1),1673(a,1,2)),flip(a)]. given #1728 (H,wt=24): 1877 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(240,a,1440,a,b,1846,a)]. given #1729 (H,wt=24): 1878 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1877(a,1),14(a,1,2)),flip(a)]. given #1730 (H,wt=25): 1857 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1851(a,1),939(a,1,2,1))]. given #1731 (H,wt=25): 1862 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1257(a,2),1858(a,1,1))]. given #1732 (H,wt=25): 1879 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(240,a,1486,a,b,1857,a(flip)),flip(a)]. given #1733 (H,wt=27): 1806 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(81,a,1562,a)]. given #1734 (H,wt=27): 1835 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1834(a,1),1537(a,2,1,2))]. given #1735 (H,wt=23): 1881 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1835(a,2,1))]. given #1736 (H,wt=21): 1882 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(240,a,59,a(flip),b,1881,a)]. given #1737 (H,wt=27): 1874 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1443(a,1),1868(a,1,2,1))]. given #1738 (H,wt=23): 1884 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1443(a,1),1874(a,2,1))]. given #1739 (H,wt=23): 1885 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(81,a,1884,a)]. given #1740 (H,wt=26): 1886 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(240,a,1477,a,b,1885,a(flip)),flip(a)]. given #1741 (H,wt=27): 1880 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1806(a,1,2,2,1,2,2)),flip(a)]. given #1742 (H,wt=28): 440 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(106(a,1),24(a,2,1,2)),flip(a)]. given #1743 (H,wt=28): 889 (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 | (a(x,y,z) * u) * w = v5. [para(47(a,1),229(a,1,2))]. given #1744 (H,wt=28): 921 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(917(a,1),651(a,1,2))]. given #1745 (H,wt=22): 1887 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(240,a,1409,a(flip),b,921,a(flip)),flip(a)]. given #1746 (H,wt=24): 1889 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1887(a,1),658(a,1,1))]. given #1747 (H,wt=22): 1890 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(799,a,1889,a),flip(a)]. given #1748 (H,wt=20): 1891 L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). [para(983(a,1),1890(a,1,1)),flip(a)]. given #1749 (H,wt=28): 951 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(515(a,1),230(a,1,2))]. given #1750 (H,wt=28): 1211 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(642(a,1),435(a,2,2))]. given #1751 (H,wt=23): 1892 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(958(a,1),1211(a,1,2))]. given #1752 (H,wt=21): 1893 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(32(a,2),1892(a,1,2,1,1))]. given #1753 (H,wt=19): 1894 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(696,a,1893,a),flip(a)]. given #1754 (H,wt=28): 1213 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(108(a,1),759(a,1,2,1))]. given #1755 (H,wt=25): 1895 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(1213,a,611,a(flip)),flip(a)]. given #1756 (H,wt=25): 1896 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(611(a,2),1895(a,2,2))]. given #1757 (H,wt=25): 1897 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(15(a,1),1896(a,2,2,1,1))]. given #1758 (H,wt=22): 1898 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [hyper(233,a,1897,a)]. given #1759 (H,wt=28): 1214 L((x * y) / (z * y),u,w) * (z * y) != v5 | (L(x / z,u,w) * z) * y = v5. [para(119(a,1),763(a,1,1,1))]. given #1760 (H,wt=28): 1242 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1239(a,1),189(a,1,2))]. given #1761 (H,wt=20): 1899 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(254,a,1242,a),flip(a)]. given #1762 (H,wt=28): 1270 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(360(a,1),1265(a,1,1)),flip(a)]. given #1763 (H,wt=25): 1900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(240,a,445,a(flip),b,1270,a)]. given #1764 (H,wt=13): 1901 T(x,x * (y * T(y \ 1,x))) = x. [para(1900(a,1),217(a,1,2))]. given #1765 (H,wt=9): 1902 T(x,x * K(y,x)) = x. [para(1135(a,2),1901(a,1,2,2))]. given #1766 (H,wt=13): 1904 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1902,a)]. given #1767 (H,wt=15): 1903 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1323(a,1),1901(a,1,2,2))]. given #1768 (H,wt=19): 1905 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1381(a,1),1903(a,1,2,2,2,2))]. given #1769 (H,wt=11): 1906 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1905(a,1,2,2,2))]. given #1770 (H,wt=15): 1907 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1906(a,1),38(a,1,1)),flip(a)]. given #1771 (H,wt=15): 1908 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(1016,a,1907,a)]. given #1772 (H,wt=15): 1909 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1908(a,1),62(a,1,2))]. given #1773 (H,wt=13): 1911 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1260,a,1909,a)]. given #1774 (H,wt=21): 1913 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1911(a,1),411(a,1,1)),flip(a)]. given #1775 (H,wt=28): 1386 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1363(a,2),183(a,2)),flip(a)]. given #1776 (H,wt=28): 1487 K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. [para(1474(a,1),383(a,1,2,1))]. given #1777 (H,wt=28): 1496 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1493(a,1),106(a,1,1))]. given #1778 (H,wt=28): 1497 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(1493(a,1),108(a,2,1))]. given #1779 (H,wt=28): 1549 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1545(a,1),254(a,1,2))]. given #1780 (H,wt=28): 1558 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(784(a,1),1556(a,1,1,1))]. given #1781 (H,wt=28): 1714 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1692(a,2),183(a,2)),flip(a)]. given #1782 (H,wt=28): 1739 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1738(a,2),472(a,1))]. given #1783 (H,wt=28): 1755 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1742(a,1),295(a,1,2))]. given #1784 (H,wt=28): 1757 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1721(a,2),183(a,2)),flip(a)]. given #1785 (H,wt=28): 1870 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1867(a,1),501(a,1,1))]. given #1786 (H,wt=28): 1910 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1639(a,1),1908(a,1,1,2,1))]. given #1787 (H,wt=23): 1915 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(240,a,1639,a(flip),b,1910,a)]. given #1788 (H,wt=28): 1914 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1879(a,1),1558(a,1,1))]. given #1789 (H,wt=28): 1916 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(240,a,1817,a(flip),b,1914,a(flip)),flip(a)]. given #1790 (H,wt=28): 1918 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(198(a,2),1916(a,1,1))]. given #1791 (H,wt=29): 601 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(192(a,1),24(a,2,1,2)),flip(a)]. given #1792 (H,wt=29): 773 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(270(a,2),449(a,1,1))]. given #1793 (H,wt=20): 1920 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(631(a,1),773(a,1))]. given #1794 (H,wt=29): 843 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(358(a,2),448(a,1,2))]. given #1795 (H,wt=27): 1921 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(122(a,1),843(a,1,2,1,1)),flip(a)]. given #1796 (H,wt=23): 1922 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(182,a,1721,a(flip),b,1921,a),flip(a)]. given #1797 (H,wt=29): 963 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(240,a,491,a(flip),b,821,a(flip))]. given #1798 (H,wt=25): 1924 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(16(a,1),963(a,1,1,2,2)),flip(a)]. given #1799 (H,wt=25): 1925 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1440(a,2),1924(a,1,1,1))]. given #1800 (H,wt=29): 970 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(73,a,969,a(flip),b,313,a),flip(a)]. given #1801 (H,wt=29): 1155 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1130(a,2),123(a,1,2))]. given #1802 (H,wt=29): 1208 (x * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). [para(1019(a,1),448(a,2,2))]. given #1803 (H,wt=26): 1926 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(844(a,1),1208(a,1,2))]. given #1804 (H,wt=22): 1927 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1926(a,1,2,1)),flip(a)]. given #1805 (H,wt=29): 1346 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(420(a,1),1343(a,1,2,1)),flip(a)]. given #1806 (H,wt=25): 1928 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(420(a,1),1346(a,1,1)),flip(a)]. given #1807 (H,wt=29): 1479 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1469(a,1),439(a,1,1)),flip(a)]. given #1808 (H,wt=29): 1480 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1469(a,1),769(a,1,1))]. given #1809 (H,wt=29): 1524 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1159(a,2),1395(a,1,2))]. given #1810 (H,wt=23): 1929 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(901(a,1),1524(a,2,1))]. given #1811 (H,wt=29): 1530 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1379(a,1,1))]. given #1812 (H,wt=27): 1931 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1530(a,1,2,1,1)),flip(a)]. given #1813 (H,wt=27): 1932 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(839(a,1),1931(a,1,2))]. given #1814 (H,wt=25): 1933 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1549,a,1932,a),flip(a)]. given #1815 (H,wt=25): 1934 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1933(a,1,2,1,2)),flip(a)]. given #1816 (H,wt=21): 1935 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(15(a,1),1934(a,1,1,2,1,2)),flip(a)]. given #1817 (H,wt=23): 1936 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(177(a,1),1934(a,1,1,2,1,2)),flip(a)]. given #1818 (H,wt=21): 1937 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(153(a,1),1936(a,1,2,1,2))]. given #1819 (H,wt=19): 1938 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1121,a,1937,a),flip(a)]. given #1820 (H,wt=19): 1944 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(209(a,1),1938(a,2,1,2))]. given #1821 (H,wt=19): 1945 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(901(a,1),1938(a,1,1))]. given #1822 (H,wt=20): 1946 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1137(a,2),1938(a,1,1)),flip(a)]. given #1823 (H,wt=21): 1939 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(231,a,1937,a),flip(a)]. given #1824 (H,wt=21): 1940 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(81,a,1937,a)]. given #1825 (H,wt=21): 1941 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(240,a,1275,a(flip),b,1937,a(flip)),flip(a)]. given #1826 (H,wt=19): 1952 (x \ (x / T(x,y))) * T(x,y) = T((x \ 1) * x,y). [para(122(a,1),1941(a,2,1))]. given #1827 (H,wt=19): 1953 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(285(a,1),1941(a,2,1))]. given #1828 (H,wt=21): 1943 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1938(a,1),122(a,1,2)),flip(a)]. given #1829 (H,wt=21): 1954 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(240,a,1862,a,b,1953,a(flip)),flip(a)]. given #1830 (H,wt=21): 1955 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(1132,a,1954,a)]. given #1831 (H,wt=21): 1956 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1955(a,1),1274(a,1,1))]. given #1832 (H,wt=23): 1948 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1464(a,1),1945(a,2,1,2,2))]. given #1833 (H,wt=19): 1958 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(240,a,1945,a,b,1948,a)]. given #1834 (H,wt=23): 1951 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1400(a,1),1940(a,1,2,1,2)),flip(a)]. given #1835 (H,wt=19): 1960 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1951(a,2,2,1))]. given #1836 (H,wt=17): 1962 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(153(a,1),1960(a,2,2))]. given #1837 (H,wt=17): 1963 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(35,a,1962,a)]. given #1838 (H,wt=13): 1965 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(36,a,1963,a)]. given #1839 (H,wt=24): 1942 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1937(a,1),184(a,1)),flip(b)]. given #1840 (H,wt=24): 1950 T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. [para(1940(a,1),224(a,1,2)),flip(b)]. given #1841 (H,wt=24): 1957 x \ (x / T(x,y)) != z * (1 / T(x,y)) | T(K(x \ 1,x),y) = z. [para(1956(a,1),20(a,1))]. given #1842 (H,wt=24): 1959 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1958(a,1),701(a,1,1)),flip(a)]. given #1843 (H,wt=23): 1966 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(240,a,701,a(flip),b,1959,a)]. given #1844 (H,wt=19): 1967 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),1966(a,2,1))]. given #1845 (H,wt=15): 1968 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),1967(a,1,1))]. given #1846 (H,wt=29): 1563 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(462(a,1),842(a,1,2,1))]. given #1847 (H,wt=23): 1969 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(182,a,1670,a(flip),b,1563,a(flip)),flip(a)]. given #1848 (H,wt=27): 1970 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1563(a,1,2,1,2)),flip(a)]. given #1849 (H,wt=23): 1971 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(182,a,1692,a(flip),b,1970,a),flip(a)]. given #1850 (H,wt=23): 1972 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(81,a,1971,a)]. given #1851 (H,wt=24): 1973 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(240,a,354,a(flip),b,1971,a(flip))]. given #1852 (H,wt=28): 1974 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(352(a,1),1972(a,1,2,1,2))]. given #1853 (H,wt=28): 1975 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(917(a,1),1973(a,2,2,1))]. given #1854 (H,wt=29): 1609 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1599(a,1),269(a,1,1))]. given #1855 (H,wt=29): 1720 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(73,a,1671,a(flip),b,1186,a),flip(a)]. given #1856 (H,wt=29): 1766 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1360(a,1),1764(a,1,1)),flip(a)]. given #1857 (H,wt=23): 1977 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1360(a,1),1766(a,1,2)),flip(a)]. given #1858 (H,wt=23): 1978 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(90,a,1977,a)]. given #1859 (H,wt=26): 1979 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1978(a,1),823(a,1,1))]. given #1860 (H,wt=23): 1980 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(560,a,1979,a),flip(a)]. given #1861 (H,wt=27): 1981 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1980(a,1),658(a,1,1))]. given #1862 (H,wt=23): 1982 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(387,a,1981,a),flip(a)]. given #1863 (H,wt=19): 1983 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(240,a,26,a,b,1982,a),flip(a)]. given #1864 (H,wt=15): 1984 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1983(a,2,1,2)),flip(a)]. given #1865 (H,wt=15): 1985 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1984(a,1),68(a,1,1,1))]. given #1866 (H,wt=11): 1986 T(1 / x,K(y,x)) = 1 / x. [para(1985(a,1),176(a,1,1))]. given #1867 (H,wt=9): 1989 K(1 / x,K(y,x)) = 1. [hyper(36,a,1986,a)]. given #1868 (H,wt=9): 1991 K(x,K(y,x \ 1)) = 1. [para(62(a,1),1989(a,1,1))]. given #1869 (H,wt=9): 1992 T(x,K(y,x \ 1)) = x. [hyper(37,a,1991,a)]. given #1870 (H,wt=9): 1995 T(x,K(x,1 / x)) = x. [para(1437(a,2),1992(a,1,2))]. given #1871 (H,wt=13): 1993 T(T(x,y),K(z,x \ 1)) = T(x,y). [para(1992(a,1),38(a,1,1)),flip(a)]. given #1872 (H,wt=15): 1997 T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). [hyper(35,a,1993,a)]. given #1873 (H,wt=15): 1998 T(T(x,y),z \ T(z,x \ 1)) = T(x,y). [para(1123(a,1),1993(a,1,2))]. given #1874 (H,wt=16): 1999 T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). [para(1520(a,1),1998(a,1,2))]. given #1875 (H,wt=19): 1996 T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). [para(1995(a,1),191(a,1,2,1)),flip(a)]. given #1876 (H,wt=19): 2000 K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). [hyper(240,a,992,a(flip),b,1996,a(flip))]. given #1877 (H,wt=19): 2001 K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1437(a,1),2000(a,1,1))]. given #1878 (H,wt=19): 2002 K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). [hyper(17,a,1868,a,b,2001,a(flip)),flip(a)]. given #1879 (H,wt=21): 1988 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1985(a,1),794(a,1,1,1))]. given #1880 (H,wt=14): 2004 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(254,a,1988,a)]. given #1881 (H,wt=11): 2006 T(K(x,y),y \ 1) = K(x,y). [para(361(a,1),2004(a,1,2))]. given #1882 (H,wt=11): 2007 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,2006,a)]. given #1883 (H,wt=13): 2005 T(K(x,y),z / (y * z)) = K(x,y). [para(172(a,1),2004(a,1,2))]. given #1884 (H,wt=19): 2009 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(2005(a,1),122(a,1,2)),flip(a)]. given #1885 (H,wt=21): 1994 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(1992(a,1),192(a,1,2,1)),flip(a)]. given #1886 (H,wt=21): 2011 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(240,a,1454,a(flip),b,1994,a(flip))]. given #1887 (H,wt=21): 2013 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,1868,a,b,2011,a(flip)),flip(a)]. given #1888 (H,wt=22): 2003 K(x,x \ 1) * T(x,y) != x * z | T(x,y) * (1 / x) = z. [para(2001(a,2),19(a,1))]. given #1889 (H,wt=22): 2010 (x / (y * x)) * K(z,y) != u | K(z,y) * (x / (y * x)) = u. [para(2005(a,1),231(a,1,2))]. given #1890 (H,wt=24): 2012 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(1994(a,1),19(a,1)),flip(a)]. given #1891 (H,wt=24): 2014 K(x,x \ 1) * L(x,y,z) != x * u | L(x,y,z) * (1 / x) = u. [para(2011(a,2),19(a,1))]. given #1892 (H,wt=29): 1797 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(240,a,1672,a(flip),b,1195,a(flip))]. given #1893 (H,wt=27): 2016 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1672(a,1),1797(a,1,2)),flip(a)]. given #1894 (H,wt=25): 2017 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1678(a,2),2016(a,1,1))]. given #1895 (H,wt=29): 1823 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),1822(a,2,1,2,1))]. given #1896 (H,wt=29): 1836 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1832(a,1),1537(a,2,1,2))]. given #1897 (H,wt=21): 2018 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(179(a,1),1836(a,2,1))]. given #1898 (H,wt=19): 2019 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(240,a,59,a(flip),b,2018,a)]. given #1899 (H,wt=23): 2021 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2019(a,1),1067(a,1,1)),flip(a)]. given #1900 (H,wt=17): 2022 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(240,a,1571,a(flip),b,2021,a(flip)),flip(a)]. given #1901 (H,wt=21): 2023 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(65(a,1),2022(a,1,1,2,1))]. given #1902 (H,wt=17): 2024 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(65(a,1),2023(a,2,2,1))]. given #1903 (H,wt=15): 2027 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2024(a,1),1882(a,1,1))]. given #1904 (H,wt=17): 2025 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2024(a,1),14(a,1,2))]. given #1905 (H,wt=17): 2028 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2027(a,1,1,2))]. given #1906 (H,wt=13): 2030 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2028(a,1,2,2))]. given #1907 (H,wt=15): 2031 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2030,a)]. given #1908 (H,wt=14): 2032 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1647,a,2031,a)]. given #1909 (H,wt=14): 2033 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(14(a,1),2032(a,1,3,2))]. given #1910 (H,wt=15): 2034 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(172(a,2),2032(a,1,3))]. given #1911 (H,wt=17): 2035 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2032(a,1),355(a,1,2))]. given #1912 (H,wt=17): 2036 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2033(a,1),355(a,1,2))]. given #1913 (H,wt=19): 2037 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2034(a,1),360(a,1,2))]. given #1914 (H,wt=14): 2038 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1103,a,2037,a)]. given #1915 (H,wt=14): 2040 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(2038(a,1),1431(a,1,1)),flip(a)]. given #1916 (H,wt=13): 2042 T(x,y / (x * y)) = T(x,x \ 1). [para(172(a,1),2040(a,1,2))]. given #1917 (H,wt=13): 2043 T(x,(x \ y) / y) = T(x,x \ 1). [para(362(a,1),2040(a,1,2))]. given #1918 (H,wt=13): 2044 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,2042,a)]. given #1919 (H,wt=15): 2039 T(1 / (1 / (x / y)),y / x) = x / y. [para(363(a,1),2038(a,1,2))]. given #1920 (H,wt=15): 2047 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2044(a,1,2,2))]. given #1921 (H,wt=18): 2041 T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). [para(2040(a,1),38(a,1,1)),flip(a)]. given #1922 (H,wt=19): 2046 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(2043(a,1),122(a,1,2))]. given #1923 (H,wt=19): 2048 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(2039(a,1),177(a,1,1,2))]. given #1924 (H,wt=19): 2050 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(2047(a,1),122(a,1,2))]. given #1925 (H,wt=20): 2026 ((x / y) * (y / x)) * (1 / (y / x)) != z | x / y = z. [para(2024(a,1),224(a,1,2)),flip(b)]. given #1926 (H,wt=21): 2029 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(75,a,15,a(flip),b,2025,a),flip(a)]. given #1927 (H,wt=17): 2052 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2029(a,1,1)),flip(a)]. given #1928 (H,wt=17): 2053 (x * (y / (x * y))) \ x = 1 / (y / (x * y)). [para(2052(a,1),65(a,1,1))]. given #1929 (H,wt=21): 2051 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2047(a,1),413(a,1,1))]. given #1930 (H,wt=17): 2055 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1212,a,2051,a)]. given #1931 (H,wt=22): 2049 ((x / y) * (y / x)) / (x / y) != z | 1 / (1 / (y / x)) = z. [para(2039(a,1),301(a,1,1,2)),flip(b)]. given #1932 (H,wt=24): 2054 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2052(a,1),1128(a,1,1,2))]. given #1933 (H,wt=20): 2056 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(240,a,648,a(flip),b,2054,a(flip))]. given #1934 (H,wt=20): 2058 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2056(a,1),16(a,1,1))]. given #1935 (H,wt=23): 2059 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(2058(a,1),20(a,1))]. given #1936 (H,wt=25): 2045 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2042(a,1),1542(a,2,1))]. given #1937 (H,wt=29): 1861 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1850(a,1),1127(a,2,1,1,2)),flip(a)]. given #1938 (H,wt=17): 2061 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1861(a,1,1,1))]. given #1939 (H,wt=17): 2062 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(90,a,2061,a)]. given #1940 (H,wt=29): 1949 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(123(a,1),1946(a,1,1,2,2)),flip(a)]. given #1941 (H,wt=30): 670 L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = ((x * y) * z) \ ((x * (y * z)) * u). [para(94(a,1),108(a,2,1))]. given #1942 (H,wt=30): 774 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(94(a,1),449(a,1,2,2))]. given #1943 (H,wt=30): 851 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(492(a,1),657(a,1,2,1,2)),flip(a)]. given #1944 (H,wt=27): 2064 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(827,a,851,a),flip(a)]. given #1945 (H,wt=27): 2065 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2064(a,1,2,1,2,2)),flip(a)]. given #1946 (H,wt=23): 2067 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(307,a,2065,a),flip(a)]. given #1947 (H,wt=17): 2070 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(240,a,1037,a(flip),b,2067,a(flip))]. given #1948 (H,wt=23): 2069 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(240,a,1196,a(flip),b,2067,a(flip)),flip(a)]. given #1949 (H,wt=26): 2068 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2065(a,1),307(a,1))]. given #1950 (H,wt=20): 2073 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1037(a,1),2068(a,1))]. given #1951 (H,wt=26): 2074 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1196(a,1),2068(a,1))]. given #1952 (H,wt=27): 2066 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(806(a,1),2064(a,2,1))]. given #1953 (H,wt=27): 2076 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(240,a,1196,a(flip),b,2066,a(flip)),flip(a)]. given #1954 (H,wt=23): 2080 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),2076(a,1,2,2,1)),flip(a)]. given #1955 (H,wt=29): 2077 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(240,a,1194,a(flip),b,2066,a(flip))]. given #1956 (H,wt=29): 2078 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(182,a,2066,a(flip),b,1562,a),flip(a)]. given #1957 (H,wt=27): 2082 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2078(a,1,1))]. given #1958 (H,wt=25): 2083 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2082(a,1,2,1,2,1))]. given #1959 (H,wt=30): 954 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(830(a,1),571(a,1,1))]. given #1960 (H,wt=22): 2084 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(240,a,862,a(flip),b,954,a(flip))]. given #1961 (H,wt=22): 2085 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2084(a,1),828(a,1,2))]. given #1962 (H,wt=30): 967 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(461(a,2),529(a,1,2))]. given #1963 (H,wt=30): 995 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(983(a,1),628(a,1,1,2)),flip(a)]. given #1964 (H,wt=28): 2087 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(240,a,1922,a(flip),b,995,a(flip)),flip(a)]. given #1965 (H,wt=25): 2088 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1418(a,1),2087(a,1,1,2)),flip(a)]. given #1966 (H,wt=15): 2089 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(18,a,1939,a(flip),b,2088,a)]. given #1967 (H,wt=17): 2091 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(2089(a,2),1965(a,1,2))]. given #1968 (H,wt=21): 2090 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2089(a,1),124(a,1,1))]. given #1969 (H,wt=15): 2092 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(240,a,1962,a(flip),b,2090,a(flip))]. given #1970 (H,wt=21): 2094 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(1057(a,1),2092(a,1,1))]. given #1971 (H,wt=17): 2095 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(65(a,1),2094(a,1,2))]. given #1972 (H,wt=17): 2096 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2095(a,1),62(a,1,2))]. given #1973 (H,wt=17): 2097 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1119(a,2),2095(a,1,1))]. given #1974 (H,wt=30): 1197 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(817(a,1),230(a,1,2))]. given #1975 (H,wt=30): 1243 (x * y) * T((x * y) \ z,u) != w * v5 | w \ (x * (y * T(y \ (x \ z),u))) = v5. [para(839(a,2),517(a,1))]. given #1976 (H,wt=30): 1271 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(391(a,1),1265(a,1,1)),flip(a)]. given #1977 (H,wt=25): 2098 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(240,a,445,a(flip),b,1271,a)]. given #1978 (H,wt=23): 2099 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(917(a,1),2098(a,2,2))]. given #1979 (H,wt=29): 2100 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(240,a,1344,a,b,2099,a(flip)),flip(a)]. given #1980 (H,wt=21): 2102 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2099(a,1),2100(a,1,1,2))]. given #1981 (H,wt=17): 2103 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(13(a,1),2102(a,1,1))]. given #1982 (H,wt=30): 1334 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(351(a,1),1329(a,1,2,1,2))]. given #1983 (H,wt=30): 1547 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(108(a,2),1383(a,1,2,2,1,2)),flip(a)]. given #1984 (H,wt=28): 2105 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(690(a,1),1547(a,1,1)),flip(a)]. given #1985 (H,wt=30): 1629 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1627(a,1),26(a,2,1)),flip(a)]. given #1986 (H,wt=30): 1693 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1670(a,2),183(a,2)),flip(a)]. given #1987 (H,wt=30): 1723 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1671(a,2),183(a,2)),flip(a)]. given #1988 (H,wt=30): 1765 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1672(a,2),183(a,2)),flip(a)]. given #1989 (H,wt=30): 1771 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1768(a,1),254(a,1,2))]. given #1990 (H,wt=30): 1796 (x \ y) * ((((x \ y) \ y) \ z) \ z) != u * (x \ y) | T(x,((x \ y) \ y) \ z) = u. [para(1183(a,1),20(a,1))]. given #1991 (H,wt=30): 1912 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1909(a,2),651(a,1,2))]. given #1992 (H,wt=28): 2107 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1267(a,1),1912(a,1,1))]. given #1993 (H,wt=27): 2108 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1019(a,1),2107(a,1,1))]. given #1994 (H,wt=27): 2109 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1909(a,1),2108(a,1,2))]. given #1995 (H,wt=27): 2110 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(240,a,40,a,b,2109,a(flip)),flip(a)]. given #1996 (H,wt=19): 2111 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1906(a,1),2110(a,1,1))]. given #1997 (H,wt=20): 2112 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(240,a,1019,a,b,2111,a(flip)),flip(a)]. given #1998 (H,wt=18): 2114 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(240,a,1913,a(flip),b,2112,a(flip))]. given #1999 (H,wt=20): 2113 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2111(a,1),1927(a,1,2))]. given #2000 (H,wt=30): 2081 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(108(a,2),2080(a,2,2,2,1))]. given #2001 (H,wt=30): 2086 (x * y) * T((x * y) \ z,u) != w * v5 | (x * (y * T(y \ (x \ z),u))) / v5 = w. [para(14(a,1),967(a,1,2,1,2))]. given #2002 (H,wt=30): 2106 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(240,a,1303,a(flip),b,1629,a(flip)),flip(a)]. given #2003 (H,wt=23): 2115 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(740(a,1),2106(a,1,2)),flip(a)]. given #2004 (H,wt=25): 2116 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2115(a,2),1502(a,1,2))]. given #2005 (H,wt=31): 1453 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1440(a,2),849(a,2,2))]. given #2006 (H,wt=31): 1535 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(839(a,1),1382(a,1,1))]. given #2007 (H,wt=29): 2118 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1535(a,1,1,2,2,1,2)),flip(a)]. given #2008 (H,wt=31): 1543 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(240,a,1228,a,b,1383,a(flip)),flip(a)]. given #2009 (H,wt=19): 2119 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(58(a,1),1543(a,1,1)),flip(a)]. given #2010 (H,wt=17): 2120 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(122(a,1),2119(a,1,1))]. given #2011 (H,wt=17): 2122 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2120(a,1,1,1)),flip(a)]. given #2012 (H,wt=20): 2123 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2120(a,1),20(a,1))]. given #2013 (H,wt=20): 2125 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2122(a,2),20(a,1))]. given #2014 (H,wt=23): 2124 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(62(a,1),2120(a,1,2)),flip(a)]. given #2015 (H,wt=19): 2126 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(62(a,1),2124(a,1,1,2)),flip(a)]. given #2016 (H,wt=19): 2127 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(903(a,1),2126(a,1,1)),flip(a)]. given #2017 (H,wt=25): 2128 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(930(a,1),2127(a,1,1)),flip(a)]. given #2018 (H,wt=21): 2129 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(124(a,1),2128(a,1,1,2)),flip(a)]. given #2019 (H,wt=17): 2130 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(387,a,2129,a),flip(a)]. given #2020 (H,wt=17): 2131 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(13(a,1),2130(a,1,1,2)),flip(a)]. given #2021 (H,wt=17): 2132 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(2131(a,1),14(a,1,2))]. given #2022 (H,wt=17): 2133 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),2132(a,1,2,1)),flip(a)]. given #2023 (H,wt=19): 2136 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2133(a,1),122(a,1,2)),flip(a)]. given #2024 (H,wt=18): 2137 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(75,a,199,a(flip),b,2136,a)]. given #2025 (H,wt=23): 2134 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(99(a,1),2132(a,1,2,1)),flip(a)]. given #2026 (H,wt=24): 2135 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2132(a,1),423(a,1,2))]. given #2027 (H,wt=31): 1546 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(286(a,1),1383(a,2,1,2,1))]. given #2028 (H,wt=31): 1709 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,1705,a)]. given #2029 (H,wt=31): 1767 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(32(a,2),1674(a,1,1))]. given #2030 (H,wt=29): 2139 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(32(a,2),1767(a,1,2,1,1)),flip(a)]. given #2031 (H,wt=29): 2140 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(941(a,1),2139(a,1,2))]. given #2032 (H,wt=27): 2141 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1771,a,2140,a),flip(a)]. given #2033 (H,wt=27): 2142 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(13(a,1),2141(a,1,2,1,2)),flip(a)]. given #2034 (H,wt=31): 1820 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1069(a,1),1819(a,1,1)),flip(a)]. given #2035 (H,wt=25): 2143 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1069(a,1),1820(a,1,2,1)),flip(a)]. given #2036 (H,wt=23): 2144 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(73,a,56,a(flip),b,2143,a),flip(a)]. given #2037 (H,wt=26): 2145 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2144(a,1),19(a,1))]. given #2038 (H,wt=31): 1838 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1086(a,1),1837(a,1,1)),flip(a)]. given #2039 (H,wt=25): 2146 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1086(a,1),1838(a,1,2,1)),flip(a)]. given #2040 (H,wt=23): 2147 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(73,a,56,a(flip),b,2146,a),flip(a)]. given #2041 (H,wt=31): 1917 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(1914(a,1),20(a,1))]. given #2042 (H,wt=31): 2008 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2007(a,1),1937(a,1,1)),flip(a)]. given #2043 (H,wt=27): 2148 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2007(a,1),2008(a,2,2,1,1))]. given #2044 (H,wt=21): 2149 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(240,a,901,a(flip),b,2148,a)]. given #2045 (H,wt=15): 2151 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(901(a,1),2149(a,1,1))]. given #2046 (H,wt=13): 2152 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(35,a,2151,a)]. given #2047 (H,wt=11): 2154 K(K(x,y),y \ T(y,z)) = 1. [hyper(36,a,2152,a)]. given #2048 (H,wt=15): 2155 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1639(a,1),2154(a,1,2,2))]. given #2049 (H,wt=13): 2156 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(32(a,2),2155(a,1,2))]. given #2050 (H,wt=20): 2153 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2151(a,1),701(a,1,1)),flip(a)]. given #2051 (H,wt=15): 2157 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(240,a,700,a,b,2153,a)]. given #2052 (H,wt=11): 2158 T(K(x,y),K(z,x)) = K(x,y). [para(26(a,2),2157(a,1,1))]. given #2053 (H,wt=11): 2159 T(K(x,y),K(y,z)) = K(x,y). [hyper(35,a,2158,a)]. given #2054 (H,wt=9): 2164 K(K(x,y),K(y,z)) = 1. [hyper(36,a,2159,a)]. given #2055 (H,wt=15): 2160 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2158(a,1),122(a,1,2)),flip(a)]. given #2056 (H,wt=18): 2161 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2158(a,1),231(a,1,2))]. given #2057 (H,wt=18): 2165 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2159(a,1),231(a,1,2))]. given #2058 (H,wt=18): 2169 K(x,y) * K(y,z) != K(y,z) * u | K(x,y) = u. [para(2160(a,1),19(a,1))]. given #2059 (H,wt=18): 2170 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(2160(a,2),19(a,1))]. given #2060 (H,wt=21): 2162 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2158(a,1),193(a,1,2,1)),flip(a)]. given #2061 (H,wt=21): 2166 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2159(a,1),192(a,1,2,1)),flip(a)]. given #2062 (H,wt=21): 2167 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2159(a,1),193(a,1,2,1)),flip(a)]. given #2063 (H,wt=24): 2163 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2158(a,1),384(a,1,2,1))]. given #2064 (H,wt=24): 2168 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2159(a,1),383(a,1,2,1))]. given #2065 (H,wt=31): 2015 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(240,a,1511,a(flip),b,2013,a)]. given #2066 (H,wt=27): 2171 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1505(a,1),2015(a,1,1))]. given #2067 (H,wt=25): 2172 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(948(a,1),2171(a,1,2))]. given #2068 (H,wt=24): 2173 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(240,a,1918,a(flip),b,2172,a(flip)),flip(a)]. given #2069 (H,wt=22): 2174 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(240,a,1863,a(flip),b,2173,a)]. given #2070 (H,wt=19): 2175 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(1917,a,2174,a)]. given #2071 (H,wt=18): 2176 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(240,a,171,a(flip),b,2175,a),flip(a)]. given #2072 (H,wt=17): 2177 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(171(a,1),2176(a,2,2,2)),flip(a)]. given #2073 (H,wt=17): 2180 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(81,a,2177,a)]. given #2074 (H,wt=19): 2179 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(240,a,12,a,b,2177,a)]. given #2075 (H,wt=24): 2182 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2180(a,1),235(a,1,1))]. given #2076 (H,wt=23): 2184 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(203(a,1),2182(a,2,1))]. given #2077 (H,wt=24): 2183 (x \ 1) * (x * ((y * x) \ y)) != z * u | z \ ((y * x) \ y) = u. [para(2180(a,1),376(a,1,2))]. given #2078 (H,wt=25): 2178 T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). [hyper(516,a,2177,a)]. given #2079 (H,wt=30): 2181 L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 1). [para(2177(a,1),171(a,2,1))]. given #2080 (H,wt=31): 2075 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(307,a,2066,a),flip(a)]. given #2081 (H,wt=27): 2185 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2075(a,2,2,1,2,1))]. given #2082 (H,wt=27): 2186 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(90,a,2185,a)]. given #2083 (H,wt=25): 2187 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2186(a,1,1,2,1,2,2)),flip(a)]. given #2084 (H,wt=31): 2101 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2099(a,1),1342(a,1,1)),flip(a)]. given #2085 (H,wt=23): 2188 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2099(a,1),2101(a,1,2,1)),flip(a)]. given #2086 (H,wt=31): 2117 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1440(a,2),1453(a,2,1,1,2))]. given #2087 (H,wt=31): 2189 (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). [hyper(240,a,411,a(flip),b,2117,a)]. given #2088 (H,wt=31): 2190 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(240,a,1550,a(flip),b,2189,a(flip))]. given #2089 (H,wt=27): 2191 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(908(a,1),2190(a,2,2))]. given #2090 (H,wt=19): 2192 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(240,a,1225,a(flip),b,2191,a)]. given #2091 (H,wt=19): 2193 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(695,a,2192,a),flip(a)]. given #2092 (H,wt=21): 2195 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(124(a,1),2193(a,2,1))]. given #2093 (H,wt=23): 2194 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(931,a,2193,a),flip(a)]. given #2094 (H,wt=21): 2197 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(428(a,1),2194(a,1,1,1)),flip(a)]. given #2095 (H,wt=19): 2198 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(428(a,1),2197(a,1,1)),flip(a)]. given #2096 (H,wt=21): 2199 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2198(a,2),1240(a,1,2))]. given #2097 (H,wt=19): 2200 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(231,a,2199,a)]. given #2098 (H,wt=10): 2201 L(x,y,K(x \ 1,x)) = x. [hyper(438,a,2200,a)]. given #2099 (H,wt=14): 2203 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2201(a,1),40(a,2,1))]. given #2100 (H,wt=13): 2204 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(240,a,1899,a(flip),b,2203,a(flip)),flip(a)]. given #2101 (H,wt=22): 2202 K(x \ 1,x) * y != (K(x \ 1,x) * z) * x | z * x = y. [para(2200(a,2),19(a,1)),flip(a)]. given #2102 (H,wt=24): 2196 T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. [para(2195(a,2),20(a,1))]. given #2103 (H,wt=32): 686 (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(268(a,1),411(a,1,1,1)),flip(a)]. given #2104 (H,wt=27): 2206 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(240,a,477,a(flip),b,686,a)]. given #2105 (H,wt=23): 2207 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(845,a,2206,a)]. given #2106 (H,wt=23): 2208 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [hyper(544,a,2207,a),flip(a)]. given #2107 (H,wt=32): 726 R(x * (y * z),a(x,y,z),((x * y) * z) \ u) \ u = a(x,y,z) * (((x * y) * z) \ u). [para(140(a,1),493(a,1,1,1))]. given #2108 (H,wt=32): 972 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(690(a,2),183(a,2))]. given #2109 (H,wt=32): 1068 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(920(a,1),108(a,1,1)),flip(a)]. given #2110 (H,wt=32): 1156 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1130(a,2),396(a,1,2))]. given #2111 (H,wt=32): 1210 (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 * v6 | v5 \ ((a(x,y,z) * u) * w) = v6. [para(47(a,1),554(a,1,2))]. given #2112 (H,wt=32): 1331 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1325(a,2,2,1,2,2))]. given #2113 (H,wt=28): 2209 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(845,a,1331,a),flip(a)]. given #2114 (H,wt=26): 2210 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(690(a,1),2209(a,2,2))]. given #2115 (H,wt=21): 2211 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(438,a,2210,a)]. given #2116 (H,wt=19): 2214 K(x \ (x / L(x,y,z)),x) = L((x \ 1) * x,y,z). [para(122(a,1),2211(a,1,1)),flip(a)]. given #2117 (H,wt=19): 2215 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(285(a,1),2211(a,1,1)),flip(a)]. given #2118 (H,wt=19): 2217 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1610(a,2),2215(a,1,1))]. given #2119 (H,wt=20): 2218 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2201(a,1),2217(a,1,1,1,2)),flip(a)]. given #2120 (H,wt=18): 2219 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(124(a,1),2218(a,2,1))]. given #2121 (H,wt=21): 2216 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(901(a,1),2211(a,1,1))]. given #2122 (H,wt=24): 2212 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(240,a,1119,a(flip),b,2211,a),flip(a)]. given #2123 (H,wt=25): 2213 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(59(a,1),2211(a,2,1,2))]. given #2124 (H,wt=27): 2220 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2219(a,1),106(a,1,2))]. given #2125 (H,wt=21): 2223 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(182,a,2220,a,b,xx)]. given #2126 (H,wt=28): 2222 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2212(a,1),546(a,1))]. given #2127 (H,wt=32): 1348 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(708,a,1340,a),flip(a)]. given #2128 (H,wt=32): 1471 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(698,a,1468,a),flip(a)]. given #2129 (H,wt=32): 1521 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). [para(1428(a,1),209(a,1,2,2))]. given #2130 (H,wt=29): 2225 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). [hyper(240,a,1428,a(flip),b,1521,a)]. given #2131 (H,wt=20): 2226 T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). [para(1999(a,1),2225(a,1,2))]. given #2132 (H,wt=32): 1540 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1536(a,1,1,2,2))]. given #2133 (H,wt=28): 2228 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1363(a,1),1540(a,2,1))]. given #2134 (H,wt=26): 2229 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1385(a,1),2228(a,2,1,1))]. given #2135 (H,wt=21): 2230 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(240,a,30,a,b,2229,a),flip(a)]. given #2136 (H,wt=24): 2231 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2229(a,2),483(a,1))]. given #2137 (H,wt=24): 2232 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(240,a,1119,a(flip),b,2230,a),flip(a)]. given #2138 (H,wt=25): 2233 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),2230(a,2,1,2))]. given #2139 (H,wt=25): 2236 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(231,a,2232,a),flip(a)]. given #2140 (H,wt=27): 2235 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1119(a,1),2231(a,1))]. given #2141 (H,wt=28): 2237 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2232(a,1),184(a,1)),flip(b)]. given #2142 (H,wt=30): 2238 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2233(a,1),118(a,1,1))]. given #2143 (H,wt=32): 1613 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(1606(a,1),651(a,1,2))]. given #2144 (H,wt=25): 2239 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(240,a,1706,a(flip),b,1613,a(flip)),flip(a)]. given #2145 (H,wt=29): 2241 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2239(a,1),806(a,1,1)),flip(a)]. given #2146 (H,wt=29): 2242 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(240,a,603,a(flip),b,2241,a)]. given #2147 (H,wt=22): 2243 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(240,a,1683,a(flip),b,2242,a(flip))]. given #2148 (H,wt=32): 1631 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1628(a,1),265(a,1,1))]. given #2149 (H,wt=13): 2244 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1631,a,2179,a(flip))]. given #2150 (H,wt=13): 2245 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(73,a,2244,a(flip),b,2115,a(flip)),flip(a)]. given #2151 (H,wt=13): 2247 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(240,a,123,a,b,2245,a)]. given #2152 (H,wt=14): 2250 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(171(a,2),2245(a,1,2))]. given #2153 (H,wt=14): 2252 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(171(a,2),2247(a,1,2))]. given #2154 (H,wt=15): 2246 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2244(a,1),2116(a,1,2))]. given #2155 (H,wt=13): 2254 T(1 / (1 / x),(y * x) \ y) = x. [hyper(162,a,2246,a)]. given #2156 (H,wt=15): 2248 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(75,a,2245,a(flip),b,2061,a),flip(a)]. given #2157 (H,wt=13): 2257 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(240,a,1439,a(flip),b,2248,a)]. given #2158 (H,wt=13): 2261 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2257(a,1,2,1))]. given #2159 (H,wt=15): 2249 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2245(a,1,2,1))]. given #2160 (H,wt=16): 2253 T(x,(y * x) \ y) != z | (x \ 1) \ 1 = z. [para(2247(a,2),396(a,1))]. given #2161 (H,wt=16): 2258 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2248(a,2),1461(a,1))]. given #2162 (H,wt=17): 2260 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2257(a,1,2,1)),flip(a)]. given #2163 (H,wt=17): 2264 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(240,a,649,a,b,2261,a(flip)),flip(a)]. given #2164 (H,wt=17): 2265 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),2249(a,1,2))]. given #2165 (H,wt=17): 2271 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1444,a,2260,a)]. given #2166 (H,wt=18): 2269 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(14(a,1),2253(a,1,2,1))]. given #2167 (H,wt=19): 2256 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2254(a,1),177(a,1,1,2))]. given #2168 (H,wt=14): 2272 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(240,a,1704,a(flip),b,2256,a(flip)),flip(a)]. given #2169 (H,wt=18): 2274 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),2272(a,1,2,1))]. given #2170 (H,wt=19): 2262 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(122(a,1),2257(a,1,2,1)),flip(a)]. given #2171 (H,wt=19): 2266 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2249(a,1),122(a,1,2))]. given #2172 (H,wt=21): 2251 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(98(a,1),2247(a,1,2,1))]. given #2173 (H,wt=17): 2278 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2251(a,1,2)),flip(a)]. given #2174 (H,wt=15): 2279 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(396,a,2278,a),flip(a)]. given #2175 (H,wt=11): 2280 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(240,a,2159,a(flip),b,2279,a(flip))]. given #2176 (H,wt=11): 2283 1 / (1 / K(x,y)) = K(x,y). [para(2280(a,1),144(a,1,2,2))]. given #2177 (H,wt=21): 2268 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2249(a,1),1324(a,1,2)),flip(a)]. given #2178 (H,wt=21): 2276 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2274(a,1),1878(a,1,2)),flip(a)]. given #2179 (H,wt=19): 2284 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2260(a,1),2276(a,1,2))]. given #2180 (H,wt=19): 2285 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(517,a,2284,a)]. given #2181 (H,wt=21): 2286 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2264(a,1),2284(a,1,2))]. given #2182 (H,wt=21): 2288 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [para(2264(a,1),2285(a,1,2,2))]. given #2183 (H,wt=18): 2290 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [hyper(240,a,1450,a(flip),b,2288,a(flip)),flip(a)]. given #2184 (H,wt=22): 2267 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2249(a,1),231(a,1,2))]. given #2185 (H,wt=22): 2270 K(T(x,y),(x * y) \ y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(122(a,1),2258(a,1,2,1))]. given #2186 (H,wt=22): 2275 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),2274(a,1,2))]. given #2187 (H,wt=16): 2291 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(240,a,1853,a(flip),b,2275,a(flip)),flip(a)]. given #2188 (H,wt=16): 2295 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(2291(a,2),65(a,1,1))]. given #2189 (H,wt=17): 2296 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(171(a,2),2291(a,2,2,2)),flip(a)]. given #2190 (H,wt=17): 2297 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(2296(a,1),149(a,1,1,1))]. given #2191 (H,wt=18): 2293 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(14(a,1),2291(a,2,2,2,1))]. given #2192 (H,wt=18): 2294 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),2291(a,1,1))]. given #2193 (H,wt=23): 2263 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1025(a,2),2257(a,1,2,1))]. given #2194 (H,wt=21): 2301 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1268(a,1),2263(a,1,2))]. given #2195 (H,wt=19): 2302 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(240,a,2260,a(flip),b,2301,a)]. given #2196 (H,wt=23): 2277 ((x * y) \ x) * (x \ (x * y)) = y * ((((x * y) \ x) \ 1) \ 1). [para(13(a,1),2266(a,1,1)),flip(a)]. given #2197 (H,wt=19): 2303 x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * x. [para(13(a,1),2277(a,1,2)),flip(a)]. given #2198 (H,wt=26): 2287 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2285(a,1),434(a,1,1,2))]. given #2199 (H,wt=22): 2304 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(13(a,1),2287(a,1,1,2,2,2))]. given #2200 (H,wt=20): 2305 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(1468(a,1),2304(a,1,1))]. given #2201 (H,wt=28): 2298 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2296(a,1),1471(a,2,2))]. given #2202 (H,wt=29): 2299 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(209(a,1),2297(a,1,1,1,1)),flip(a)]. given #2203 (H,wt=27): 2306 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1410(a,1),2299(a,1,1))]. given #2204 (H,wt=32): 1724 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1671(a,2),517(a,1))]. given #2205 (H,wt=32): 2079 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(2066(a,2),183(a,2)),flip(a)]. given #2206 (H,wt=32): 2300 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1). [para(2293(a,1),1304(a,1,2,1)),flip(a)]. given #2207 (H,wt=28): 2307 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (y \ x)). [para(65(a,1),2300(a,2,2))]. given #2208 (H,wt=33): 871 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(73,a,94,a(flip),b,607,a),flip(a)]. given #2209 (H,wt=33): 952 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(515(a,1),451(a,1,2))]. given #2210 (H,wt=33): 1106 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(1100(a,1),676(a,1,1,2))]. given #2211 (H,wt=32): 2310 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(1585(a,1),1106(a,1,1))]. given #2212 (H,wt=33): 1131 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(1099(a,1),1123(a,1,1,2))]. given #2213 (H,wt=26): 2311 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),1131(a,1,1))]. given #2214 (H,wt=33): 1205 ((x * R(y / z,z,u)) / x) * (z * u) != w | (z * u) * ((x * ((z * u) \ (y * u))) / x) = w. [para(119(a,2),896(a,1,1,1,2))]. given #2215 (H,wt=33): 1596 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),938(a,1,1))]. given #2216 (H,wt=33): 1630 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) != z | K(x \ 1,x * ((y * x) \ y)) = z. [para(1627(a,1),269(a,1,1))]. given #2217 (H,wt=33): 1947 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(1304(a,2),1944(a,1,2))]. given #2218 (H,wt=30): 2313 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2212(a,1),1947(a,1,1))]. given #2219 (H,wt=28): 2314 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(285(a,1),2313(a,1,1,1))]. given #2220 (H,wt=26): 2315 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1304(a,1),2314(a,1,2))]. given #2221 (H,wt=26): 2316 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(240,a,40,a,b,2315,a(flip)),flip(a)]. given #2222 (H,wt=24): 2317 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1307(a,1),2316(a,2,1))]. given #2223 (H,wt=33): 1976 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(614(a,1),1720(a,2,2,1))]. given #2224 (H,wt=31): 2318 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1976(a,1,1))]. given #2225 (H,wt=29): 2319 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2318(a,1,2,1,1))]. given #2226 (H,wt=33): 2072 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1672(a,1),2069(a,1,2)),flip(a)]. given #2227 (H,wt=33): 2309 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),952(a,1,2,1,1))]. given #2228 (H,wt=33): 2312 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),1596(a,1,2,1,1))]. given #2229 (H,wt=33): 2320 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(240,a,1689,a(flip),b,2309,a)]. given #2230 (H,wt=29): 2322 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(947(a,1),2320(a,2,1))]. given #2231 (H,wt=33): 2321 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(240,a,1717,a(flip),b,2312,a)]. given #2232 (H,wt=29): 2323 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(955(a,1),2321(a,2,1))]. given #2233 (H,wt=34): 788 (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(268(a,1),611(a,1,1,1)),flip(a)]. given #2234 (H,wt=29): 2324 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(240,a,479,a(flip),b,788,a)]. given #2235 (H,wt=25): 2325 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1213,a,2324,a)]. given #2236 (H,wt=28): 2326 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1402(a,1),2325(a,2,1,1))]. given #2237 (H,wt=34): 996 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(983(a,1),504(a,1,1,1))]. given #2238 (H,wt=34): 1295 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(172(a,2),924(a,2,1,2,2))]. given #2239 (H,wt=28): 2327 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(240,a,924,a(flip),b,1295,a(flip))]. given #2240 (H,wt=34): 1645 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). [para(1426(a,2),1641(a,1,2,1))]. given #2241 (H,wt=29): 2328 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). [para(2041(a,1),1645(a,2,1))]. given #2242 (H,wt=26): 2329 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). [hyper(240,a,2226,a(flip),b,2328,a)]. given #2243 (H,wt=24): 2331 (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1426(a,1),2329(a,1,2,1))]. given #2244 (H,wt=23): 2332 (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(1887(a,1),2331(a,1,2))]. given #2245 (H,wt=21): 2333 x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). [hyper(240,a,948,a(flip),b,2332,a(flip)),flip(a)]. given #2246 (H,wt=20): 2334 x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1891(a,1),2333(a,1,2))]. given #2247 (H,wt=34): 1798 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w * v5 | w \ (x * (y * ((z * (y \ u)) / z))) = v5. [para(1195(a,2),517(a,1))]. given #2248 (H,wt=35): 1073 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(1071(a,1),628(a,1,1,2)),flip(a)]. given #2249 (H,wt=35): 1092 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(1087(a,1),628(a,1,1,2)),flip(a)]. given #2250 (H,wt=35): 1215 (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(829(a,2),183(a,2))]. given #2251 (H,wt=35): 1217 (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(833(a,2),183(a,2))]. given #2252 (H,wt=35): 1470 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1466(a,1),856(a,1,1))]. given #2253 (H,wt=29): 2335 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(916(a,1),1470(a,1,2)),flip(a)]. given #2254 (H,wt=27): 2336 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1466(a,1),2335(a,1,2,1,2))]. given #2255 (H,wt=19): 2337 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(286(a,1),2336(a,1,2,1)),flip(a)]. given #2256 (H,wt=34): 2338 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2337(a,1),28(a,2,1)),flip(a)]. given #2257 (H,wt=35): 1919 (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(1301(a,1),601(a,1,1))]. given #2258 (H,wt=31): 2340 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),1919(a,1,2,1)),flip(a)]. given #2259 (H,wt=35): 1930 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(17,a,264,a,b,1929,a)]. given #2260 (H,wt=31): 2342 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(2089(a,1),1930(a,1,2,2)),flip(a)]. given #2261 (H,wt=17): 2343 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(73,a,2091,a(flip),b,2342,a(flip)),flip(a)]. given #2262 (H,wt=35): 2138 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(1122(a,2),1709(a,2,2,1))]. given #2263 (H,wt=31): 2344 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(240,a,1709,a(flip),b,2138,a(flip))]. given #2264 (H,wt=27): 2345 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2097(a,1),2344(a,1,2))]. given #2265 (H,wt=25): 2346 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(240,a,1928,a(flip),b,2345,a(flip))]. given #2266 (H,wt=35): 2221 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),2216(a,2,1,2))]. given #2267 (H,wt=26): 2347 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1697(a,1),2221(a,1,1,2)),flip(a)]. given #2268 (H,wt=24): 2348 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(53(a,1),2347(a,2,1))]. given #2269 (H,wt=21): 2349 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(240,a,332,a(flip),b,2348,a)]. given #2270 (H,wt=23): 2352 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2349(a,1),263(a,1,2)),flip(a)]. given #2271 (H,wt=21): 2353 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(240,a,12,a(flip),b,2352,a)]. given #2272 (H,wt=24): 2354 x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. [para(2353(a,1),299(a,1,1)),flip(b)]. given #2273 (H,wt=36): 1138 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1136(a,1),912(a,1,1))]. given #2274 (H,wt=22): 2355 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(240,a,1137,a,b,1138,a)]. given #2275 (H,wt=21): 2356 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(171(a,1),2355(a,1,2,1))]. given #2276 (H,wt=29): 2357 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2356(a,1),124(a,1,1)),flip(a)]. given #2277 (H,wt=32): 2358 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2356(a,1),387(a,1,1))]. given #2278 (H,wt=36): 2224 K(x \ 1,x) * (y * K(x \ 1,x)) != K(x \ 1,x) * z | T(K(x \ 1,x) * y,K(x \ 1,x)) = z. [para(2220(a,1),183(a,2)),flip(a)]. given #2279 (H,wt=37): 1157 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(420(a,1),1130(a,1,1,2,2,1))]. given #2280 (H,wt=35): 2359 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2096(a,1),1157(a,1,1,2))]. given #2281 (H,wt=29): 2360 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(916(a,1),2359(a,1,1,2)),flip(a)]. given #2282 (H,wt=23): 2361 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(919(a,1),2360(a,2,1))]. given #2283 (H,wt=19): 2363 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(420(a,1),2361(a,1,1))]. given #2284 (H,wt=21): 2362 T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. [hyper(73,a,2361,a(flip),b,1346,a(flip))]. given #2285 (H,wt=37): 1772 (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(679(a,1),441(a,1,2,2))]. given #2286 (H,wt=34): 2364 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(446(a,1),1772(a,1,2)),flip(a)]. given #2287 (H,wt=38): 1725 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(685(a,1),1671(a,1,2,1)),flip(a)]. given #2288 (H,wt=32): 2365 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(240,a,446,a(flip),b,1725,a)]. given #2289 (H,wt=30): 2366 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(193(a,1),2365(a,2,2))]. given #2290 (H,wt=38): 1876 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1859(a,1),599(a,1,2))]. given #2291 (H,wt=39): 1923 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(1702(a,1),1922(a,1,2,1,1)),flip(a)]. given #2292 (H,wt=32): 2367 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1702(a,1),1923(a,2,1))]. given #2293 (H,wt=26): 2368 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(240,a,1086,a(flip),b,2367,a)]. given #2294 (H,wt=20): 2370 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1086(a,1),2368(a,1,1))]. given #2295 (H,wt=20): 2371 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2370,a)]. given #2296 (H,wt=40): 1216 (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(106(a,1),829(a,1,1))]. given #2297 (H,wt=37): 2372 (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(106(a,1),1216(a,1,2,1,1))]. given #2298 (H,wt=33): 2373 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1213,a,2372,a),flip(a)]. given #2299 (H,wt=31): 2374 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(829(a,1),2373(a,2,2))]. given #2300 (H,wt=26): 2375 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(438,a,2374,a),flip(a)]. given #2301 (H,wt=32): 2376 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(240,a,1073,a(flip),b,2375,a(flip))]. given #2302 (H,wt=29): 2377 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1707(a,1),2376(a,1,1,2)),flip(a)]. given #2303 (H,wt=27): 2378 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(240,a,2213,a(flip),b,2377,a)]. given #2304 (H,wt=17): 2379 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,198,a(flip),b,2378,a)]. given #2305 (H,wt=21): 2380 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(65(a,1),2379(a,1,1))]. given #2306 (H,wt=19): 2381 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(948(a,1),2380(a,1,2))]. given #2307 (H,wt=19): 2382 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2354,a,2381,a)]. given #2308 (H,wt=21): 2383 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1651(a,1),2382(a,1,1)),flip(a)]. given #2309 (H,wt=25): 2384 T(x * L(x \ 1,y,z),u) \ T(x,u) = L(1 / T(x,u),y,z) \ 1. [para(1971(a,1),2382(a,1,1))]. given #2310 (H,wt=40): 2071 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(489(a,2),2069(a,2,1,2,1)),flip(a)]. given #2311 (H,wt=36): 2385 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(240,a,2069,a(flip),b,2071,a)]. given #2312 (H,wt=40): 2339 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2337(a,1),1068(a,1,1))]. given #2313 (H,wt=41): 1774 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1404(a,1),486(a,1,2,3))]. given #2314 (H,wt=39): 2386 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(983(a,1),1774(a,1,1,1))]. given #2315 (H,wt=39): 2387 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(198(a,2),2386(a,1,2,2))]. given #2316 (H,wt=41): 1814 T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(1812(a,1),1229(a,1,2,1))]. given #2317 (H,wt=39): 2388 T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(983(a,1),1814(a,1,2,1,1,2,1))]. given #2318 (H,wt=36): 2389 T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2334(a,1),2388(a,1,2,1,1))]. given #2319 (H,wt=41): 2234 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(1090(a,1),2230(a,2,1,2))]. given #2320 (H,wt=39): 2390 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(1410(a,1),2234(a,1,1,2,1))]. given #2321 (H,wt=32): 2391 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(1751(a,1),2390(a,1,1,2)),flip(a)]. given #2322 (H,wt=42): 1635 ((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(118(a,1),964(a,1,2))]. given #2323 (H,wt=39): 2393 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(118(a,1),1635(a,1,1,1,2,2)),flip(a)]. given #2324 (H,wt=39): 2394 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(240,a,806,a(flip),b,2393,a)]. given #2325 (H,wt=35): 2395 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(240,a,2066,a(flip),b,2394,a)]. given #2326 (H,wt=35): 2396 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(806(a,1),2395(a,1,1))]. given #2327 (H,wt=33): 2397 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1672(a,1),2396(a,2,1))]. given #2328 (H,wt=28): 2398 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,118,a,b,2397,a)]. given #2329 (H,wt=23): 2399 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1679,a,2398,a),flip(a)]. given #2330 (H,wt=30): 2400 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),2398(a,1,2,1)),flip(a)]. given #2331 (H,wt=30): 2401 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(240,a,1440,a,b,2400,a)]. given #2332 (H,wt=28): 2402 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1087(a,1),2401(a,1,1,2,1))]. given #2333 (H,wt=42): 1659 (((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),1658(a,1,1)),flip(a)]. given #2334 (H,wt=37): 2403 (((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),1659(a,2,2,1,1))]. given #2335 (H,wt=33): 2404 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1671(a,1),2403(a,1,1))]. given #2336 (H,wt=31): 2405 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1721(a,1),2404(a,1,1,1))]. given #2337 (H,wt=26): 2406 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(483,a,2405,a),flip(a)]. given #2338 (H,wt=29): 2407 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(2405(a,1),483(a,1))]. given #2339 (H,wt=29): 2409 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(627(a,1),2406(a,2,1,2))]. given #2340 (H,wt=24): 2410 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1085,a,2409,a),flip(a)]. given #2341 (H,wt=22): 2411 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2410(a,1,1,2,1)),flip(a)]. given #2342 (H,wt=32): 2408 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(240,a,1092,a(flip),b,2406,a(flip))]. given #2343 (H,wt=29): 2412 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1753(a,1),2408(a,1,1,2)),flip(a)]. given #2344 (H,wt=17): 2413 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2236,a(flip),b,2412,a)]. given #2345 (H,wt=42): 1661 (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(106(a,1),1194(a,1,1))]. given #2346 (H,wt=39): 2414 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(106(a,1),1661(a,1,2,1,2,1))]. given #2347 (H,wt=35): 2415 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(240,a,1195,a(flip),b,2414,a(flip))]. given #2348 (H,wt=33): 2416 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1194(a,1),2415(a,2,2))]. given #2349 (H,wt=28): 2417 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(438,a,2416,a),flip(a)]. given #2350 (H,wt=30): 2418 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),2417(a,1,2,1)),flip(a)]. given #2351 (H,wt=30): 2419 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(240,a,1440,a,b,2418,a)]. given #2352 (H,wt=23): 2420 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1683(a,1),2419(a,1,1))]. given #2353 (H,wt=42): 1675 (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),1673(a,1,1)),flip(a)]. given #2354 (H,wt=37): 2421 (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),1675(a,2,2,1,1))]. given #2355 (H,wt=33): 2422 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(940(a,1),2421(a,1,2))]. given #2356 (H,wt=31): 2423 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(833(a,1),2422(a,1,2,2))]. given #2357 (H,wt=26): 2424 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(449,a,2423,a),flip(a)]. given #2358 (H,wt=27): 2426 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(712(a,1),2424(a,2,1,2))]. given #2359 (H,wt=26): 2428 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1312(a,1),2426(a,1,2))]. given #2360 (H,wt=24): 2429 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(150(a,1),2428(a,2,1,2))]. given #2361 (H,wt=24): 2430 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1440(a,2),2429(a,2,1))]. given #2362 (H,wt=29): 2425 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(2423(a,1),449(a,1))]. given #2363 (H,wt=34): 2427 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(1612(a,1),2424(a,1,2))]. given #2364 (H,wt=32): 2431 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),2427(a,1,2,2)),flip(a)]. given #2365 (H,wt=27): 2432 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2243(a,1),2431(a,1,1)),flip(a)]. given #2366 (H,wt=27): 2433 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(240,a,2420,a(flip),b,2432,a)]. given #2367 (H,wt=17): 2434 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1440,a(flip),b,2433,a)]. given #2368 (H,wt=17): 2435 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(240,a,2383,a,b,2434,a(flip)),flip(a)]. given #2369 (H,wt=17): 2436 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2435(a,1),62(a,1,2)),flip(a)]. given #2370 (H,wt=17): 2437 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),2435(a,1,1,1,2)),flip(a)]. given #2371 (H,wt=17): 2438 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(62(a,1),2436(a,1,1,2)),flip(a)]. given #2372 (H,wt=17): 2441 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2437(a,1),65(a,1,1))]. given #2373 (H,wt=17): 2443 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),2441(a,1,1,1,1)),flip(a)]. given #2374 (H,wt=21): 2440 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2436(a,1),195(a,1,1))]. given #2375 (H,wt=17): 2446 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(65(a,1),2440(a,2,1))]. given #2376 (H,wt=21): 2447 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2446(a,1),38(a,1,1)),flip(a)]. given #2377 (H,wt=22): 2439 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(235(a,1),2436(a,2,2,2))]. given #2378 (H,wt=23): 2442 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2438(a,1),2436(a,1,1)),flip(a)]. given #2379 (H,wt=24): 2445 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(454(a,1),2443(a,2,1,1))]. given #2380 (H,wt=26): 2449 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2249(a,2),2445(a,1,1))]. given #2381 (H,wt=21): 2450 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(240,a,714,a(flip),b,2449,a(flip)),flip(a)]. given #2382 (H,wt=27): 2448 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2439(a,1),106(a,1,2))]. given #2383 (H,wt=32): 2451 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),2450(a,1,1))]. given #2384 (H,wt=27): 2452 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),2451(a,1,2,2))]. given #2385 (H,wt=20): 2453 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),2452(a,2,1,1))]. given #2386 (H,wt=42): 1716 (((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),1715(a,1,1)),flip(a)]. given #2387 (H,wt=37): 2454 (((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),1716(a,2,2,1,1))]. given #2388 (H,wt=33): 2455 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1670(a,1),2454(a,1,1))]. given #2389 (H,wt=31): 2456 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1692(a,1),2455(a,1,1,1))]. given #2390 (H,wt=26): 2457 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(483,a,2456,a),flip(a)]. given #2391 (H,wt=27): 2458 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(712(a,1),2457(a,2,1,2))]. given #2392 (H,wt=26): 2460 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1173(a,1),2458(a,1,2))]. given #2393 (H,wt=24): 2461 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(150(a,1),2460(a,2,1,2))]. given #2394 (H,wt=24): 2462 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1440(a,2),2461(a,2,1))]. given #2395 (H,wt=34): 2459 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(1104(a,1),2457(a,1,2))]. given #2396 (H,wt=32): 2463 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),2459(a,1,2,2)),flip(a)]. given #2397 (H,wt=42): 2289 (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(142(a,1),2286(a,1,1)),flip(a)]. given #2398 (H,wt=35): 2464 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(142(a,1),2289(a,1,2,2,2,2))]. given #2399 (H,wt=44): 1134 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(1088(a,1),1129(a,2,2))]. given #2400 (H,wt=45): 1526 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1152(a,1),1523(a,2,2,1,2)),flip(a)]. given #2401 (H,wt=39): 2466 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(916(a,1),1526(a,2,1))]. given #2402 (H,wt=27): 2467 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(13(a,1),2466(a,1,2,1)),flip(a)]. given #2403 (H,wt=22): 2468 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(240,a,834,a(flip),b,2467,a)]. given #2404 (H,wt=20): 2469 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2062(a,1),2468(a,1,1))]. given #2405 (H,wt=18): 2470 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2257(a,1),2469(a,1,1))]. given #2406 (H,wt=24): 2471 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(232,a,2470,a)]. given #2407 (H,wt=18): 2473 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1519(a,1),2471(a,1,2))]. given #2408 (H,wt=18): 2474 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(81,a,2473,a)]. given #2409 (H,wt=21): 2476 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(240,a,2298,a,b,2474,a(flip)),flip(a)]. given #2410 (H,wt=20): 2478 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2476(a,1),1334(a,1,2)),flip(a)]. given #2411 (H,wt=17): 2479 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2250(a,1),2478(a,1,2)),flip(a)]. given #2412 (H,wt=13): 2485 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2202,a,2479,a(flip))]. given #2413 (H,wt=13): 2489 x * K(x,x \ 1) = T(x,x \ 1). [hyper(240,a,123,a,b,2485,a)]. given #2414 (H,wt=13): 2490 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(81,a,2485,a)]. given #2415 (H,wt=13): 2493 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(240,a,1437,a,b,2490,a)]. given #2416 (H,wt=13): 2494 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(73,a,2490,a,b,1440,a(flip))]. given #2417 (H,wt=15): 2491 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(73,a,2044,a,b,2485,a)]. given #2418 (H,wt=16): 2492 x * K(x,x \ 1) != y | (x \ 1) \ 1 = y. [para(2489(a,2),396(a,1))]. given #2419 (H,wt=17): 2480 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2252(a,1),2478(a,1,2)),flip(a)]. given #2420 (H,wt=17): 2483 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(307,a,2479,a),flip(a)]. given #2421 (H,wt=17): 2484 (x / ((y \ 1) \ 1)) * y = x / K(y,y \ 1). [hyper(75,a,16,a(flip),b,2479,a),flip(a)]. given #2422 (H,wt=17): 2496 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(307,a,2480,a),flip(a)]. given #2423 (H,wt=17): 2499 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [para(2496(a,1),1251(a,1,1))]. given #2424 (H,wt=17): 2501 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(240,a,271,a(flip),b,2499,a)]. given #2425 (H,wt=19): 2502 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(73,a,2480,a,b,2499,a)]. given #2426 (H,wt=19): 2503 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1438(a,2),2499(a,2,2))]. given #2427 (H,wt=10): 2505 R(x,K(y,y \ 1),y) = x. [hyper(472,a,2503,a)]. given #2428 (H,wt=10): 2506 L(x,K(x,x \ 1),y) = x. [hyper(438,a,2503,a)]. given #2429 (H,wt=12): 2507 R(x,K(y \ 1,y),1 / y) = x. [para(1505(a,1),2505(a,1,2))]. given #2430 (H,wt=14): 2508 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1505(a,1),2506(a,1,2))]. given #2431 (H,wt=17): 2510 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2507(a,1),1478(a,1,1)),flip(a)]. given #2432 (H,wt=17): 2511 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(75,a,16,a(flip),b,2510,a),flip(a)]. given #2433 (H,wt=16): 2513 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2511(a,1),542(a,1))]. given #2434 (H,wt=17): 2512 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,1285,a(flip),b,2510,a)]. given #2435 (H,wt=14): 2514 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1559,a,2512,a)]. given #2436 (H,wt=13): 2517 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(956,a,2514,a),flip(a)]. given #2437 (H,wt=14): 2516 R(x / (1 / y),y \ 1,y) = x * y. [hyper(1096,a,2514,a)]. given #2438 (H,wt=14): 2518 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2514(a,1),16(a,1,1))]. given #2439 (H,wt=16): 2519 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [para(2514(a,1),124(a,1,1)),flip(a)]. given #2440 (H,wt=17): 2520 (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. [para(2514(a,1),226(a,1,1)),flip(b)]. given #2441 (H,wt=17): 2522 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(62(a,1),2517(a,1,2)),flip(a)]. given #2442 (H,wt=18): 2509 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2506(a,1),2436(a,2,2,2))]. given #2443 (H,wt=17): 2526 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(240,a,1495,a(flip),b,2509,a(flip)),flip(a)]. given #2444 (H,wt=17): 2528 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2526(a,1),293(a,1,2)),flip(a)]. given #2445 (H,wt=19): 2523 x \ R(y,x \ 1,x) != z | T(y * (1 / x),x) = z. [para(2518(a,1),254(a,1,2))]. given #2446 (H,wt=19): 2529 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(240,a,2286,a(flip),b,2528,a(flip)),flip(a)]. given #2447 (H,wt=19): 2530 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(73,a,2528,a(flip),b,2286,a(flip)),flip(a)]. given #2448 (H,wt=19): 2531 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),2529(a,1,2,2,2,2)),flip(a)]. given #2449 (H,wt=19): 2532 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2530(a,1),65(a,1,1))]. given #2450 (H,wt=19): 2534 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2531(a,2,2,2,2))]. given #2451 (H,wt=18): 2539 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2294(a,2),2534(a,1,2))]. given #2452 (H,wt=14): 2540 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),2539(a,2,2,2))]. given #2453 (H,wt=14): 2541 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2540(a,1),65(a,1,1)),flip(a)]. given #2454 (H,wt=13): 2543 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(240,a,174,a,b,2541,a),flip(a)]. given #2455 (H,wt=16): 2544 L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. [para(65(a,1),2541(a,1,2))]. given #2456 (H,wt=17): 2545 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(62(a,1),2543(a,1,2)),flip(a)]. given #2457 (H,wt=17): 2547 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(123(a,2),2545(a,1,2))]. given #2458 (H,wt=18): 2542 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2540(a,2),648(a,1,1,2))]. given #2459 (H,wt=18): 2549 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(240,a,2211,a,b,2542,a(flip)),flip(a)]. given #2460 (H,wt=19): 2535 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2531(a,1),65(a,1,1))]. given #2461 (H,wt=19): 2536 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(62(a,1),2532(a,1,1,2,2,2)),flip(a)]. given #2462 (H,wt=19): 2537 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(144(a,1),2532(a,1,1,2,2)),flip(a)]. given #2463 (H,wt=19): 2538 ((x * (1 / (1 / y))) \ x) \ 1 = 1 / ((x * y) \ x). [para(2534(a,1),149(a,1,1,1))]. given #2464 (H,wt=19): 2551 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(2284(a,2),2535(a,1,1))]. given #2465 (H,wt=19): 2552 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2537(a,1),65(a,1,1))]. given #2466 (H,wt=17): 2554 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(240,a,2265,a,b,2552,a(flip)),flip(a)]. given #2467 (H,wt=17): 2555 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2554(a,2),14(a,1,2))]. given #2468 (H,wt=17): 2558 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(240,a,1064,a,b,2555,a(flip)),flip(a)]. given #2469 (H,wt=17): 2559 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2558(a,1,1)),flip(a)]. given #2470 (H,wt=17): 2560 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2558(a,1),1556(a,1,1))]. given #2471 (H,wt=15): 2562 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(240,a,2484,a(flip),b,2560,a(flip)),flip(a)]. given #2472 (H,wt=15): 2566 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(523,a,2562,a)]. given #2473 (H,wt=15): 2567 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(308,a,2562,a),flip(a)]. given #2474 (H,wt=15): 2569 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(89,a,2562,a)]. given #2475 (H,wt=17): 2561 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2559(a,1),16(a,1,1))]. given #2476 (H,wt=17): 2563 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2560(a,1,1)),flip(a)]. given #2477 (H,wt=17): 2564 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(639(a,1),2560(a,1,1)),flip(a)]. given #2478 (H,wt=17): 2573 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(18,a,2512,a,b,2567,a)]. given #2479 (H,wt=14): 2583 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,1448,a,b,2573,a)]. given #2480 (H,wt=12): 2586 R(1 / x,x,1 / x) = x \ 1. [hyper(160,a,2583,a),flip(a)]. given #2481 (H,wt=13): 2585 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(485,a,2583,a),flip(a)]. given #2482 (H,wt=17): 2574 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(18,a,2511,a,b,2567,a)]. given #2483 (H,wt=17): 2576 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(2567(a,1),2510(a,1,1)),flip(a)]. given #2484 (H,wt=17): 2582 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(307,a,2573,a),flip(a)]. given #2485 (H,wt=17): 2587 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(2586(a,1),365(a,1,1)),flip(a)]. given #2486 (H,wt=18): 2570 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(2562(a,1),226(a,1,1))]. given #2487 (H,wt=18): 2572 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2566(a,1),88(a,1,2)),flip(b)]. given #2488 (H,wt=18): 2575 x / K(y,y \ 1) != z | x * K(y \ 1,y) = z. [para(2567(a,1),307(a,1))]. given #2489 (H,wt=18): 2577 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2569(a,1),20(a,1)),flip(a)]. given #2490 (H,wt=18): 2578 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,482,a,b,2563,a)]. given #2491 (H,wt=19): 2553 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. [para(62(a,1),2538(a,1,1,1,2,2)),flip(a)]. given #2492 (H,wt=19): 2556 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(65(a,1),2554(a,2,2,2,1))]. given #2493 (H,wt=19): 2557 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2554(a,1),122(a,1,2))]. given #2494 (H,wt=19): 2568 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(303,a,2562,a)]. given #2495 (H,wt=19): 2579 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2563(a,1),2510(a,1,1)),flip(a)]. given #2496 (H,wt=19): 2581 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2564(a,1),2510(a,1,1)),flip(a)]. given #2497 (H,wt=19): 2594 (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. [para(2553(a,1),65(a,1,1))]. given #2498 (H,wt=19): 2597 (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. [para(62(a,1),2594(a,1,1,1,1,2))]. given #2499 (H,wt=20): 2487 (x * y) * K(y,y \ 1) != z | x * T(y,y \ 1) = z. [para(2479(a,2),662(a,1))]. given #2500 (H,wt=20): 2504 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2502(a,1),966(a,1,1)),flip(a)]. given #2501 (H,wt=20): 2515 x * K(y \ 1,y) != z * (y \ 1) | z * (1 / y) = x. [para(2512(a,1),20(a,1)),flip(a)]. given #2502 (H,wt=20): 2525 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2510(a,1),2518(a,1,1)),flip(a)]. given #2503 (H,wt=20): 2580 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2564(a,1),20(a,1)),flip(a)]. given #2504 (H,wt=20): 2588 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(240,a,402,a(flip),b,2574,a)]. given #2505 (H,wt=20): 2590 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(2511(a,1),2570(a,1,1)),flip(b)]. given #2506 (H,wt=17): 2600 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2588(a,1),2590(a,1))]. given #2507 (H,wt=20): 2591 (x * (y \ 1)) * K(y,y \ 1) != z | x * (1 / y) = z. [para(2512(a,1),2570(a,1,1)),flip(b)]. given #2508 (H,wt=20): 2592 (x * y) * K(y,y \ 1) != z | x * ((y \ 1) \ 1) = z. [para(2563(a,1),2570(a,1,1)),flip(b)]. given #2509 (H,wt=21): 2495 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(73,a,2493,a(flip),b,979,a),flip(a)]. given #2510 (H,wt=21): 2500 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [hyper(401,a,2496,a(flip),b,2499,a)]. given #2511 (H,wt=19): 2603 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(240,a,2195,a(flip),b,2500,a(flip))]. given #2512 (H,wt=19): 2604 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2603(a,1),14(a,1,2))]. given #2513 (H,wt=19): 2605 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2604(a,1,2,1)),flip(a)]. given #2514 (H,wt=10): 2606 R(x,y,K(x,x \ 1)) = x. [hyper(472,a,2605,a)]. given #2515 (H,wt=14): 2607 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(438,a,2605,a)]. given #2516 (H,wt=14): 2608 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2606(a,1),42(a,2,1))]. given #2517 (H,wt=13): 2611 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(240,a,2504,a(flip),b,2608,a(flip))]. given #2518 (H,wt=14): 2609 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1505(a,1),2606(a,1,3))]. given #2519 (H,wt=17): 2613 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1443(a,1),2611(a,1,2,2))]. given #2520 (H,wt=19): 2610 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2607(a,1),501(a,1,2))]. given #2521 (H,wt=19): 2616 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(2575,a,2610,a)]. given #2522 (H,wt=19): 2617 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2562(a,1),2616(a,2,2))]. given #2523 (H,wt=10): 2618 R(x,y,K(x \ 1,x)) = x. [hyper(472,a,2617,a)]. given #2524 (H,wt=21): 2546 (1 / x) \ ((y * (1 / (1 / x))) \ y) = x * ((y * x) \ y). [hyper(73,a,2544,a(flip),b,834,a)]. given #2525 (H,wt=21): 2601 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(240,a,1010,a(flip),b,2495,a)]. given #2526 (H,wt=22): 2550 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(65(a,1),2549(a,1,2))]. given #2527 (H,wt=16): 2622 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(916(a,1),2550(a,1,1))]. given #2528 (H,wt=15): 2623 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(240,a,803,a(flip),b,2622,a(flip))]. given #2529 (H,wt=13): 2624 T(K(1 / (1 / x),y),x) = K(x,y). [para(2623(a,2),176(a,1,1))]. given #2530 (H,wt=21): 2625 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(209(a,1),2624(a,1,1,1,2))]. given #2531 (H,wt=17): 2626 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(62(a,1),2625(a,1,1,1))]. given #2532 (H,wt=13): 2627 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(240,a,1968,a(flip),b,2626,a(flip))]. given #2533 (H,wt=13): 2628 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(123(a,1),2627(a,1,1)),flip(a)]. given #2534 (H,wt=15): 2629 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2628(a,1),122(a,1,2))]. given #2535 (H,wt=22): 2571 ((x * y) * K(z \ 1,z)) * K(z,z \ 1) != x * u | u = y. [para(2562(a,1),83(a,1,1))]. given #2536 (H,wt=22): 2595 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2568(a,2),20(a,1))]. given #2537 (H,wt=22): 2619 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2618(a,1),233(a,1,1))]. given #2538 (H,wt=23): 2482 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = T(y * x,K(x,x \ 1)). [hyper(401,a,xx,b,2479,a),flip(a)]. given #2539 (H,wt=23): 2548 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2547(a,1),2306(a,2,1,1))]. given #2540 (H,wt=20): 2630 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2548(a,1),1414(a,1,2))]. given #2541 (H,wt=23): 2598 ((x * (1 / y)) \ x) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ x). [para(2594(a,1),2303(a,1,2)),flip(a)]. given #2542 (H,wt=23): 2614 ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). [para(2609(a,1),118(a,1,1)),flip(a)]. given #2543 (H,wt=23): 2621 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(240,a,1666,a,b,2601,a(flip)),flip(a)]. given #2544 (H,wt=24): 2497 x * T(y,y \ 1) != z * u | z \ ((x * y) * K(y,y \ 1)) = u. [para(2480(a,1),517(a,1))]. given #2545 (H,wt=24): 2521 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(1472(a,2),2514(a,2,2))]. given #2546 (H,wt=20): 2632 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(65(a,1),2521(a,1,1,2))]. given #2547 (H,wt=20): 2633 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2585(a,1),2632(a,1,1))]. given #2548 (H,wt=18): 2634 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(1472(a,1),2633(a,2,2))]. given #2549 (H,wt=17): 2635 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2634(a,1),2588(a,1,1))]. given #2550 (H,wt=17): 2636 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(307,a,2635,a),flip(a)]. given #2551 (H,wt=17): 2637 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2635(a,1),2566(a,1,1))]. given #2552 (H,wt=14): 2639 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(1483,a,2637,a)]. given #2553 (H,wt=17): 2641 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(240,a,2305,a(flip),b,2639,a(flip)),flip(a)]. given #2554 (H,wt=13): 2643 K((x * y) \ x,y) = K(y \ 1,y). [para(13(a,1),2641(a,1,2))]. given #2555 (H,wt=14): 2646 K(L(x \ 1,x,y),x) = K(x \ 1,x). [para(171(a,2),2643(a,1,1))]. given #2556 (H,wt=17): 2644 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(14(a,1),2643(a,1,1,1)),flip(a)]. given #2557 (H,wt=19): 2645 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(122(a,1),2643(a,1,1,1)),flip(a)]. given #2558 (H,wt=19): 2647 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2644(a,1),2268(a,1,2))]. given #2559 (H,wt=24): 2589 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(2587(a,1),148(a,1,1))]. given #2560 (H,wt=24): 2602 x \ (T(x,y) \ ((x \ 1) \ 1)) != z | x * (T(x,y) \ (1 / x)) = z. [para(2495(a,2),1050(a,1))]. given #2561 (H,wt=24): 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2630(a,1),1949(a,2,1,2))]. given #2562 (H,wt=20): 2651 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(240,a,648,a(flip),b,2631,a)]. given #2563 (H,wt=20): 2653 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(123(a,1),2651(a,2,1))]. given #2564 (H,wt=19): 2654 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(171(a,1),2653(a,1,2,1))]. given #2565 (H,wt=24): 2649 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(240,a,1440,a,b,2589,a)]. given #2566 (H,wt=18): 2657 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2035(a,1),2649(a,1,2))]. given #2567 (H,wt=18): 2658 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2657(a,1),14(a,1,2)),flip(a)]. given #2568 (H,wt=16): 2660 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2658(a,2),2611(a,1,2)),flip(a)]. given #2569 (H,wt=18): 2659 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(2577,a,2658,a(flip))]. given #2570 (H,wt=18): 2663 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2010,a,2659,a)]. given #2571 (H,wt=13): 2664 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2058,a,b,2663,a),flip(a)]. given #2572 (H,wt=17): 2665 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2664(a,1,1,2)),flip(a)]. given #2573 (H,wt=21): 2667 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2665(a,2,1))]. given #2574 (H,wt=25): 2565 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(911(a,1),2560(a,1,1)),flip(a)]. given #2575 (H,wt=25): 2655 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2358,a,2654,a)]. given #2576 (H,wt=25): 2662 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2660(a,1),2311(a,2,2))]. given #2577 (H,wt=26): 2486 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2479(a,1),254(a,1,2))]. given #2578 (H,wt=26): 2498 (x / y) * T(y,y \ 1) != z * u | T(z,u) = u \ (x * K(y,y \ 1)). [para(2480(a,1),853(a,1))]. given #2579 (H,wt=26): 2524 R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. [para(2518(a,1),390(a,1,1))]. given #2580 (H,wt=23): 2668 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (1 / y)). [hyper(2524,a,1169,a),flip(a)]. given #2581 (H,wt=26): 2533 x * (1 / (1 / (x \ (x / y)))) != z * u | (x / (1 / (1 / y))) / u = z. [para(2530(a,2),295(a,1,2))]. given #2582 (H,wt=26): 2593 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2047(a,2),2578(a,1,2))]. given #2583 (H,wt=26): 2650 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) != z | x * (T(x,y) \ (1 / x)) = z. [para(1666(a,2),2602(a,1))]. given #2584 (H,wt=27): 2596 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(2050(a,1),2579(a,1,1))]. given #2585 (H,wt=17): 2669 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(240,a,2025,a(flip),b,2596,a)]. given #2586 (H,wt=20): 2670 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(2596(a,2),2026(a,1))]. given #2587 (H,wt=21): 2671 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(75,a,62,a(flip),b,2669,a),flip(a)]. given #2588 (H,wt=17): 2672 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(62(a,1),2671(a,1,2)),flip(a)]. given #2589 (H,wt=28): 2638 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2636(a,1),608(a,1,2,1)),flip(a)]. given #2590 (H,wt=28): 2656 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2654(a,1),2358(a,1))]. given #2591 (H,wt=32): 2615 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2613(a,1),1876(a,1,2,2,2)),flip(a)]. given #2592 (H,wt=25): 2674 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2508(a,1),2615(a,1,1)),flip(a)]. given #2593 (H,wt=35): 2648 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(1265(a,1),2645(a,2,1,1))]. given #2594 (H,wt=29): 2676 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1027(a,1),2648(a,2,1))]. given #2595 (H,wt=25): 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(240,a,2302,a(flip),b,2676,a)]. given #2596 (H,wt=35): 2673 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2672(a,1),1561(a,1,2,1,2))]. given #2597 (H,wt=23): 2678 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),2673(a,1,2,1)),flip(a)]. given #2598 (H,wt=36): 2599 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1108(a,1),2525(a,2,1))]. given #2599 (H,wt=37): 2584 ((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(2573(a,1),475(a,1,1))]. given #2600 (H,wt=31): 2680 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2573(a,1),2584(a,1,2)),flip(a)]. given #2601 (H,wt=27): 2681 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(2680(a,2),483(a,1))]. given #2602 (H,wt=39): 2661 (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(2660(a,1),187(a,1,2,1))]. given #2603 (H,wt=32): 2682 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1829(a,1),2661(a,1,2))]. given #2604 (H,wt=23): 2683 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(735,a,2682,a),flip(a)]. given #2605 (H,wt=17): 2684 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(240,a,2662,a(flip),b,2683,a(flip)),flip(a)]. given #2606 (H,wt=13): 2685 K(x,y / (x * y)) = K(x,x \ 1). [hyper(240,a,2491,a(flip),b,2684,a(flip))]. given #2607 (H,wt=17): 2688 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2685(a,1,2,2)),flip(a)]. given #2608 (H,wt=19): 2687 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(240,a,2667,a,b,2685,a(flip)),flip(a)]. given #2609 (H,wt=17): 2691 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(240,a,2665,a(flip),b,2687,a(flip)),flip(a)]. given #2610 (H,wt=17): 2692 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2687(a,1),2045(a,1,1))]. given #2611 (H,wt=10): 2694 L(x,y,K(y,y \ 1)) = x. [hyper(1460,a,2692,a(flip))]. given #2612 (H,wt=12): 2699 L(x,1 / y,K(y \ 1,y)) = x. [para(1505(a,1),2694(a,1,3))]. given #2613 (H,wt=14): 2702 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1441(a,1),2699(a,1,3))]. given #2614 (H,wt=14): 2704 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2699(a,1),1777(a,1,1,2))]. given #2615 (H,wt=14): 2709 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2704(a,1,1)),flip(a)]. given #2616 (H,wt=14): 2715 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(90,a,2709,a)]. given #2617 (H,wt=14): 2716 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(81,a,2709,a)]. given #2618 (H,wt=16): 2710 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2704(a,1,1))]. given #2619 (H,wt=17): 2693 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(240,a,270,a(flip),b,2692,a)]. given #2620 (H,wt=17): 2695 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(240,a,1872,a(flip),b,2692,a(flip)),flip(a)]. given #2621 (H,wt=17): 2696 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(75,a,2692,a(flip),b,1872,a(flip))]. given #2622 (H,wt=17): 2700 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(240,a,1886,a(flip),b,2699,a(flip)),flip(a)]. given #2623 (H,wt=17): 2701 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(240,a,1477,a(flip),b,2699,a(flip)),flip(a)]. given #2624 (H,wt=17): 2703 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2699(a,1),1476(a,1,2)),flip(a)]. given #2625 (H,wt=15): 2736 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2703(a,1),2204(a,1,2)),flip(a)]. given #2626 (H,wt=17): 2706 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(240,a,1497,a(flip),b,2702,a(flip)),flip(a)]. given #2627 (H,wt=17): 2707 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2702(a,1),1496(a,1,2)),flip(a)]. given #2628 (H,wt=17): 2717 L(x \ y,x,x \ 1) != z | (1 / x) * y = z. [para(2709(a,1),310(a,1))]. given #2629 (H,wt=17): 2719 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2715(a,1),226(a,1,1)),flip(b)]. given #2630 (H,wt=17): 2722 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(310,a,2693,a),flip(a)]. given #2631 (H,wt=17): 2725 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(73,a,14,a(flip),b,2695,a),flip(a)]. given #2632 (H,wt=17): 2727 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2700(a,1,2)),flip(a)]. given #2633 (H,wt=17): 2729 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2700(a,1),1884(a,1,2))]. given #2634 (H,wt=17): 2732 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(90,a,2703,a)]. given #2635 (H,wt=17): 2739 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1873,a,2706,a)]. given #2636 (H,wt=17): 2741 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1875,a,2707,a),flip(a)]. given #2637 (H,wt=17): 2745 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(123(a,1),2725(a,1,2,1))]. given #2638 (H,wt=17): 2746 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2727(a,1),14(a,1,2))]. given #2639 (H,wt=17): 2750 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1437(a,2),2739(a,1,1))]. given #2640 (H,wt=18): 2708 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(240,a,139,a(flip),b,2704,a)]. given #2641 (H,wt=18): 2711 L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). [para(2704(a,1),40(a,2,1))]. given #2642 (H,wt=18): 2720 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(65(a,1),2716(a,1,2,3))]. given #2643 (H,wt=18): 2721 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2710(a,1),192(a,1,2))]. given #2644 (H,wt=19): 2728 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2700(a,1),1595(a,1,1,2))]. given #2645 (H,wt=19): 2738 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(62(a,1),2736(a,1,2,1)),flip(a)]. given #2646 (H,wt=19): 2754 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(2728(a,2),14(a,1,2))]. given #2647 (H,wt=17): 2755 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(240,a,1667,a,b,2754,a(flip)),flip(a)]. given #2648 (H,wt=17): 2756 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(17,a,1804,a(flip),b,2755,a)]. given #2649 (H,wt=17): 2757 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,2755,a)]. given #2650 (H,wt=15): 2762 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(240,a,2727,a(flip),b,2757,a(flip)),flip(a)]. given #2651 (H,wt=13): 2768 K(x \ 1,x) * x = 1 / (1 / x). [para(1493(a,1),2762(a,1,2))]. given #2652 (H,wt=15): 2763 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(73,a,2757,a(flip),b,2727,a(flip))]. given #2653 (H,wt=15): 2764 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,2727,a(flip),b,2757,a(flip)),flip(a)]. given #2654 (H,wt=17): 2765 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2757(a,1),14(a,1,2)),flip(a)]. given #2655 (H,wt=17): 2766 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(17,a,2703,a,b,2762,a)]. given #2656 (H,wt=17): 2770 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2692(a,1),2762(a,1,2))]. given #2657 (H,wt=17): 2771 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2693(a,1),2762(a,1,2))]. given #2658 (H,wt=17): 2772 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2739(a,1),2762(a,1,2))]. given #2659 (H,wt=17): 2773 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2745(a,1),2762(a,1,2))]. given #2660 (H,wt=17): 2778 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(73,a,2764,a(flip),b,2722,a),flip(a)]. given #2661 (H,wt=17): 2780 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2764(a,1),2695(a,1,2)),flip(a)]. given #2662 (H,wt=17): 2785 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(555,a,2770,a)]. given #2663 (H,wt=17): 2787 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1241,a,2771,a),flip(a)]. given #2664 (H,wt=17): 2788 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(240,a,1141,a(flip),b,2773,a(flip)),flip(a)]. given #2665 (H,wt=17): 2789 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(13(a,1),2773(a,1,2)),flip(a)]. given #2666 (H,wt=18): 2767 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2762(a,1),19(a,1)),flip(a)]. given #2667 (H,wt=18): 2774 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2763(a,1),224(a,1,2))]. given #2668 (H,wt=18): 2779 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2764(a,1),19(a,1)),flip(a)]. given #2669 (H,wt=19): 2758 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(73,a,2755,a(flip),b,2722,a)]. given #2670 (H,wt=19): 2769 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [para(2002(a,1),2762(a,1,2))]. given #2671 (H,wt=19): 2784 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2766(a,1),2695(a,1,2)),flip(a)]. given #2672 (H,wt=20): 2705 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2699(a,1),1479(a,2,2))]. given #2673 (H,wt=20): 2713 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(998(a,1),2704(a,1,1))]. given #2674 (H,wt=20): 2724 K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. [para(2693(a,2),588(a,1))]. given #2675 (H,wt=20): 2742 K(x,x \ 1) * y != x * z | (1 / (1 / x)) * z = y. [para(2707(a,1),19(a,1)),flip(a)]. given #2676 (H,wt=20): 2747 (1 / x) \ ((x \ 1) * y) != K(x \ 1,x) * z | z = y. [para(2727(a,2),19(a,2)),flip(a)]. given #2677 (H,wt=20): 2751 x \ y != K(x,x \ 1) * z | ((x \ 1) \ 1) \ y = z. [para(2745(a,1),19(a,1))]. given #2678 (H,wt=20): 2752 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(2746(a,1),19(a,1))]. given #2679 (H,wt=20): 2753 (1 / x) \ ((x \ 1) * y) != z | K(x \ 1,x) * y = z. [para(2746(a,1),241(a,1,2)),flip(b)]. given #2680 (H,wt=20): 2759 (x \ 1) \ y != K(x,x \ 1) * z | (1 / x) \ y = z. [para(2755(a,1),19(a,1))]. given #2681 (H,wt=20): 2792 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2745(a,1),2774(a,1,2)),flip(b)]. given #2682 (H,wt=21): 2712 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(399(a,1),2704(a,1,1))]. given #2683 (H,wt=21): 2744 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(2650,a,2722,a),flip(a)]. given #2684 (H,wt=21): 2790 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1507(a,1),2778(a,1,2,1))]. given #2685 (H,wt=22): 2775 K(x,x \ 1) * (K(x \ 1,x) * y) != z * u | z \ y = u. [para(2763(a,1),309(a,1))]. given #2686 (H,wt=23): 2689 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2688(a,1),1925(a,1,1,1))]. given #2687 (H,wt=19): 2796 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(240,a,2048,a(flip),b,2689,a)]. given #2688 (H,wt=23): 2723 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(73,a,122,a(flip),b,2693,a)]. given #2689 (H,wt=19): 2798 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2486,a,2723,a)]. given #2690 (H,wt=23): 2737 T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). [para(2703(a,1),2223(a,1,1))]. given #2691 (H,wt=23): 2760 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1145(a,1),2755(a,1,2))]. given #2692 (H,wt=23): 2761 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(240,a,2343,a(flip),b,2756,a)]. given #2693 (H,wt=21): 2800 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2744(a,1),2761(a,1,2))]. given #2694 (H,wt=23): 2799 T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). [hyper(240,a,2614,a(flip),b,2737,a)]. given #2695 (H,wt=24): 2697 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(199(a,1),2692(a,1,2))]. given #2696 (H,wt=20): 2802 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(240,a,2784,a(flip),b,2697,a)]. given #2697 (H,wt=13): 2803 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1451,a,2802,a)]. given #2698 (H,wt=14): 2804 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(73,a,2803,a,b,199,a)]. given #2699 (H,wt=17): 2805 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),2803(a,1,2)),flip(a)]. given #2700 (H,wt=18): 2806 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(545,a,2805,a),flip(a)]. given #2701 (H,wt=24): 2714 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2704(a,1),1971(a,2,1,2))]. given #2702 (H,wt=23): 2807 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2713(a,1),2714(a,1,2))]. given #2703 (H,wt=21): 2808 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(12(a,1),2807(a,2,1,2))]. given #2704 (H,wt=21): 2809 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1440(a,2),2808(a,2,1))]. given #2705 (H,wt=24): 2781 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z * u | z \ y = u. [para(2765(a,2),309(a,1,2))]. given #2706 (H,wt=24): 2795 K(x,x \ 1) * ((1 / x) \ y) != z * u | z \ ((x \ 1) \ y) = u. [para(2700(a,1),2775(a,1,2))]. given #2707 (H,wt=25): 2718 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2709(a,1),267(a,1,1))]. given #2708 (H,wt=25): 2731 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2701(a,1),1546(a,1,2,2,1,2))]. given #2709 (H,wt=25): 2801 x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). [hyper(240,a,2674,a,b,2799,a),flip(a)]. given #2710 (H,wt=26): 2734 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2703(a,1),432(a,1,1))]. given #2711 (H,wt=27): 2743 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),2707(a,1,2))]. given #2712 (H,wt=28): 2782 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2766(a,1),142(a,1,1,2))]. given #2713 (H,wt=28): 2797 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(172(a,2),2796(a,2,2,2))]. given #2714 (H,wt=22): 2810 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2691(a,1),2797(a,1,1,1))]. given #2715 (H,wt=21): 2811 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1499,a,2810,a)]. given #2716 (H,wt=28): 2813 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2811(a,2),2327(a,1,1))]. given #2717 (H,wt=28): 2814 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(240,a,42,a,b,2813,a(flip))]. given #2718 (H,wt=27): 2815 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(240,a,2638,a(flip),b,2814,a)]. given #2719 (H,wt=25): 2816 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(11(a,1),2815(a,2,2,1))]. given #2720 (H,wt=29): 2748 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1199(a,1),2729(a,1,2)),flip(a)]. given #2721 (H,wt=29): 2776 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2763(a,1),2322(a,1,2,1))]. given #2722 (H,wt=29): 2777 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2763(a,1),2323(a,1,2,1))]. given #2723 (H,wt=29): 2791 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2785(a,1),1894(a,1,2,2))]. given #2724 (H,wt=29): 2817 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(16(a,1),2776(a,1,2,1,2))]. given #2725 (H,wt=31): 2783 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2766(a,1),449(a,1,2,2))]. given #2726 (H,wt=32): 2733 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2703(a,1),30(a,2,2)),flip(a)]. given #2727 (H,wt=32): 2793 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2769(a,1),2339(a,1,2)),flip(a)]. given #2728 (H,wt=26): 2818 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = K(T(x,y),x \ 1). [hyper(240,a,993,a(flip),b,2793,a)]. given #2729 (H,wt=29): 2819 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2793(a,2),994(a,1))]. given #2730 (H,wt=33): 2786 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(984(a,1),2770(a,1,2)),flip(a)]. given #2731 (H,wt=31): 2820 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(240,a,2791,a(flip),b,2786,a(flip)),flip(a)]. given #2732 (H,wt=35): 2749 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1395(a,1),2732(a,1,2))]. given #2733 (H,wt=29): 2821 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(916(a,1),2749(a,1,2,1))]. given #2734 (H,wt=23): 2822 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2731(a,1),2821(a,1,1))]. given #2735 (H,wt=23): 2823 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(2822(a,1),16(a,1,1))]. given #2736 (H,wt=30): 2824 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2823(a,1),2338(a,1,2))]. given #2737 (H,wt=14): 2825 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(242,a,2824,a),flip(a)]. given #2738 (H,wt=15): 2826 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2819,a,2825,a),flip(a)]. given #2739 (H,wt=19): 2829 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). [hyper(240,a,2363,a,b,2826,a(flip)),flip(a)]. given #2740 (H,wt=21): 2830 T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. [para(2826(a,1),2362(a,1,2))]. given #2741 (H,wt=21): 2831 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). [hyper(240,a,2346,a,b,2829,a(flip)),flip(a)]. given #2742 (H,wt=22): 2832 T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). [hyper(240,a,1975,a,b,2831,a(flip)),flip(a)]. given #2743 (H,wt=18): 2834 T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). [para(2333(a,1),2832(a,1,1))]. given #2744 (H,wt=33): 2835 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). [para(2834(a,1),2389(a,1,2,1)),flip(a)]. given #2745 (H,wt=29): 2836 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). [para(1997(a,1),2835(a,2,2))]. given #2746 (H,wt=27): 2837 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. [hyper(240,a,2830,a(flip),b,2836,a)]. given #2747 (H,wt=19): 2839 T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). [para(14(a,1),2837(a,1,1,1)),flip(a)]. given #2748 (H,wt=15): 2841 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(153(a,1),2839(a,2,1))]. given #2749 (H,wt=15): 2842 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2841(a,1),62(a,1,2))]. given #2750 (H,wt=15): 2844 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(144(a,1),2841(a,1,1,1)),flip(a)]. given #2751 (H,wt=15): 2845 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2283(a,1),2841(a,1,1,1)),flip(a)]. given #2752 (H,wt=15): 2850 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2844(a,1),65(a,1,1))]. given #2753 (H,wt=15): 2851 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),2850(a,2,1,1))]. given #2754 (H,wt=15): 2853 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(123(a,2),2850(a,2,1)),flip(a)]. given #2755 (H,wt=17): 2847 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(124(a,1),2842(a,1,2,2)),flip(a)]. given #2756 (H,wt=17): 2852 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(124(a,1),2850(a,1,1,1)),flip(a)]. given #2757 (H,wt=19): 2857 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2847(a,1),122(a,1,2)),flip(a)]. given #2758 (H,wt=19): 2858 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2847(a,1),177(a,1,1,2))]. given #2759 (H,wt=19): 2859 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(737,a,2852,a)]. given #2760 (H,wt=15): 2867 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2859(a,2,1,1))]. given #2761 (H,wt=13): 2868 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(240,a,2055,a(flip),b,2867,a(flip)),flip(a)]. given #2762 (H,wt=13): 2870 T(x,y / (y * x)) = T(x,x \ 1). [hyper(240,a,123,a,b,2868,a)]. given #2763 (H,wt=15): 2871 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2868(a,1,2,2))]. given #2764 (H,wt=17): 2873 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2871(a,1,2))]. given #2765 (H,wt=17): 2874 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(62(a,1),2871(a,1,2))]. given #2766 (H,wt=19): 2860 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2852(a,1),122(a,1,2)),flip(a)]. given #2767 (H,wt=19): 2861 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2852(a,1),177(a,1,1,2))]. given #2768 (H,wt=19): 2862 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(75,a,2529,a(flip),b,2857,a)]. given #2769 (H,wt=19): 2864 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2858(a,1,1,2,2,2))]. given #2770 (H,wt=19): 2872 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2870(a,1),122(a,1,2))]. given #2771 (H,wt=19): 2875 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2874(a,1),2788(a,1,2))]. given #2772 (H,wt=19): 2877 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2861(a,1,1,2,1,1))]. given #2773 (H,wt=19): 2879 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(62(a,1),2862(a,1,1,2,2)),flip(a)]. given #2774 (H,wt=19): 2881 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(65(a,1),2875(a,1,2,1,1,2)),flip(a)]. given #2775 (H,wt=19): 2883 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2879(a,1),65(a,1,1)),flip(a)]. given #2776 (H,wt=19): 2884 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2881(a,1),62(a,1,2))]. given #2777 (H,wt=19): 2885 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2884(a,1,2,2,1,1))]. given #2778 (H,wt=19): 2886 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2860(a,2),2884(a,1,2))]. given #2779 (H,wt=19): 2887 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2886(a,1,2,1,1,1))]. given #2780 (H,wt=20): 2866 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2858(a,1),256(a,1,1)),flip(b)]. given #2781 (H,wt=21): 2846 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(2513,a,2842,a)]. given #2782 (H,wt=21): 2856 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(240,a,2816,a(flip),b,2847,a(flip)),flip(a)]. given #2783 (H,wt=21): 2888 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2856(a,1),14(a,1,2))]. given #2784 (H,wt=22): 2865 (1 / (1 / (x / y))) * y != z | y * (1 / (1 / (y \ x))) = z. [para(2858(a,1),226(a,1,1)),flip(b)]. given #2785 (H,wt=22): 2878 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2861(a,1),226(a,1,1)),flip(b)]. given #2786 (H,wt=23): 2848 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2842(a,1),1664(a,1,1,1,2))]. given #2787 (H,wt=17): 2889 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(177(a,1),2848(a,1,1))]. given #2788 (H,wt=19): 2891 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2889(a,1),2772(a,1,2))]. given #2789 (H,wt=13): 2892 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(18,a,1956,a,b,2891,a),flip(a)]. given #2790 (H,wt=9): 2893 T(x,K(y \ 1,y)) = x. [hyper(35,a,2892,a)]. given #2791 (H,wt=9): 2902 T(x,K(y,1 / y)) = x. [para(65(a,1),2893(a,1,2,1))]. given #2792 (H,wt=9): 2908 T(x,K(y,y \ 1)) = x. [para(1441(a,1),2893(a,1,2))]. given #2793 (H,wt=11): 2909 T(x,K(y \ z,z \ y)) = x. [para(2644(a,1),2893(a,1,2))]. given #2794 (H,wt=11): 2916 T(x,(y \ 1) \ 1) = T(x,y). [hyper(182,a,2908,a(flip),b,2798,a(flip)),flip(a)]. given #2795 (H,wt=11): 2920 T(x,1 / y) = T(x,y \ 1). [para(65(a,1),2916(a,1,2,1)),flip(a)]. given #2796 (H,wt=11): 2921 T(x,T(y,y \ 1)) = T(x,y). [para(123(a,2),2916(a,1,2))]. given #2797 (H,wt=11): 2922 T(x,1 / (1 / y)) = T(x,y). [para(149(a,1),2916(a,1,2)),flip(a)]. given #2798 (H,wt=13): 2895 T((x \ 1) * x,y) = K(x \ 1,x). [para(198(a,1),2892(a,1,1))]. given #2799 (H,wt=13): 2914 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(35,a,2908,a)]. given #2800 (H,wt=13): 2915 x * T(y,(x \ 1) \ 1) = y * x. [hyper(240,a,2798,a(flip),b,2908,a(flip)),flip(a)]. given #2801 (H,wt=15): 2894 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2892(a,1),122(a,1,2)),flip(a)]. given #2802 (H,wt=15): 2910 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2125,a,2902,a),flip(a)]. given #2803 (H,wt=15): 2913 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2125,a,2908,a),flip(a)]. given #2804 (H,wt=15): 2923 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2249(a,2),2916(a,1,2))]. given #2805 (H,wt=15): 2925 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2850(a,1),2916(a,1,2))]. given #2806 (H,wt=15): 2926 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2851(a,1),2916(a,1,2)),flip(a)]. given #2807 (H,wt=15): 2929 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2920(a,1),122(a,1,2))]. given #2808 (H,wt=15): 2939 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2774,a,2894,a)]. given #2809 (H,wt=15): 2940 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2767,a,2894,a)]. given #2810 (H,wt=15): 2941 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(240,a,2567,a(flip),b,2894,a)]. given #2811 (H,wt=15): 2965 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(2775,a,2913,a)]. given #2812 (H,wt=17): 2898 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2892(a,1),2317(a,1,1))]. given #2813 (H,wt=17): 2900 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(240,a,2737,a(flip),b,2893,a(flip)),flip(a)]. given #2814 (H,wt=17): 2901 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(182,a,2893,a(flip),b,2801,a),flip(a)]. given #2815 (H,wt=17): 2924 T(x,L(1 / y,z,u)) = T(x,L(y \ 1,z,u)). [para(2441(a,1),2916(a,1,2)),flip(a)]. given #2816 (H,wt=17): 2927 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2874(a,2),2916(a,1,2))]. given #2817 (H,wt=17): 2933 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2921(a,1),122(a,1,2))]. given #2818 (H,wt=17): 2938 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2792,a,2894,a),flip(a)]. given #2819 (H,wt=17): 2942 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(240,a,2564,a(flip),b,2894,a)]. given #2820 (H,wt=17): 2943 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(240,a,2558,a(flip),b,2894,a)]. given #2821 (H,wt=17): 2944 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(240,a,2512,a(flip),b,2894,a)]. given #2822 (H,wt=17): 2945 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(240,a,2511,a(flip),b,2894,a)]. given #2823 (H,wt=17): 2949 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(240,a,2789,a,b,2894,a(flip)),flip(a)]. given #2824 (H,wt=17): 2950 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(240,a,2729,a,b,2894,a(flip)),flip(a)]. given #2825 (H,wt=17): 2951 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(240,a,2700,a(flip),b,2894,a(flip))]. given #2826 (H,wt=17): 2958 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2894(a,2),2561(a,1,1))]. given #2827 (H,wt=17): 2960 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2894(a,1),2785(a,1,2))]. given #2828 (H,wt=17): 2961 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2894(a,1),2787(a,1,2))]. given #2829 (H,wt=17): 2964 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(240,a,2750,a(flip),b,2910,a(flip))]. given #2830 (H,wt=17): 2966 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2724,a,2913,a),flip(a)]. given #2831 (H,wt=17): 2967 (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. [hyper(240,a,2636,a,b,2913,a),flip(a)]. given #2832 (H,wt=17): 2968 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [hyper(240,a,2574,a(flip),b,2913,a)]. given #2833 (H,wt=17): 2969 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(240,a,2573,a(flip),b,2913,a)]. given #2834 (H,wt=17): 2970 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(240,a,2480,a(flip),b,2913,a)]. given #2835 (H,wt=17): 2971 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(240,a,2479,a(flip),b,2913,a)]. given #2836 (H,wt=17): 2972 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(240,a,2766,a(flip),b,2913,a(flip))]. given #2837 (H,wt=17): 2973 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(240,a,2755,a(flip),b,2913,a(flip))]. given #2838 (H,wt=17): 2974 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(240,a,2739,a(flip),b,2913,a(flip))]. given #2839 (H,wt=17): 2977 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2913(a,2),2576(a,1,1))]. given #2840 (H,wt=17): 2982 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [para(2707(a,1),2939(a,1,1))]. given #2841 (H,wt=17): 2985 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2635(a,1),2941(a,1,2))]. given #2842 (H,wt=17): 2986 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2941(a,1),2787(a,1,2)),flip(a)]. given #2843 (H,wt=17): 2989 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(81,a,2901,a)]. given #2844 (H,wt=13): 3006 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(182,a,2989,a(flip),b,983,a)]. given #2845 (H,wt=13): 3009 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(240,a,123,a,b,3006,a)]. given #2846 (H,wt=13): 3010 T(x,T(1 / x,y)) = (x \ 1) \ 1. [hyper(240,a,2926,a,b,3006,a(flip)),flip(a)]. given #2847 (H,wt=13): 3012 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(240,a,2926,a,b,3009,a(flip)),flip(a)]. given #2848 (H,wt=16): 3011 T(x,T(x \ 1,y)) != z | T(x,x \ 1) = z. [para(3006(a,2),282(a,1))]. given #2849 (H,wt=16): 3013 T(x,T(x \ 1,y)) != z | (x \ 1) \ 1 = z. [para(3009(a,2),396(a,1))]. given #2850 (H,wt=18): 2896 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2892(a,1),231(a,1,2))]. given #2851 (H,wt=18): 2904 T(x * y,K(z \ 1,z)) != y * u | T(x,y) = u. [para(2893(a,2),183(a,2)),flip(a)]. given #2852 (H,wt=18): 2905 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2893(a,1),231(a,1,2))]. given #2853 (H,wt=18): 2911 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2902(a,1),231(a,1,2))]. given #2854 (H,wt=18): 2917 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2908(a,2),183(a,2)),flip(a)]. given #2855 (H,wt=18): 2918 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2908(a,1),231(a,1,2))]. given #2856 (H,wt=18): 2935 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2914(a,1),184(a,1,2)),flip(b)]. given #2857 (H,wt=18): 2959 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2894(a,2),2572(a,1))]. given #2858 (H,wt=18): 2962 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2894(a,1),2767(a,1))]. given #2859 (H,wt=18): 2978 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2913(a,1),2774(a,1,2))]. given #2860 (H,wt=18): 3008 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2989(a,1),700(a,2,1)),flip(a)]. given #2861 (H,wt=11): 3019 K(1 / x,y) = K(x \ 1,y). [hyper(240,a,2549,a(flip),b,3008,a(flip)),flip(a)]. given #2862 (H,wt=11): 3020 K(1 / (1 / x),y) = K(x,y). [hyper(240,a,649,a(flip),b,3019,a)]. given #2863 (H,wt=9): 3023 T(K(x,y),x) = K(x,y). [para(3020(a,1),2624(a,1,1))]. given #2864 (H,wt=7): 3024 T(x,K(x,y)) = x. [hyper(35,a,3023,a)]. given #2865 (H,wt=11): 3022 K((x \ 1) \ 1,y) = K(x,y). [para(62(a,1),3019(a,1,1)),flip(a)]. given #2866 (H,wt=11): 3025 K(x,y) * x = x * K(x,y). [para(3023(a,1),122(a,1,2)),flip(a)]. given #2867 (H,wt=11): 3028 T(T(x,y),K(x,z)) = T(x,y). [para(3024(a,1),38(a,1,1)),flip(a)]. given #2868 (H,wt=11): 3036 T(x,y \ ((x * y) / x)) = x. [para(1681(a,1),3024(a,1,2))]. given #2869 (H,wt=9): 3040 T(x,T(y,x) \ y) = x. [para(177(a,1),3036(a,1,2,2))]. given #2870 (H,wt=11): 3039 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3028,a)]. given #2871 (H,wt=13): 3041 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(35,a,3040,a)]. given #2872 (H,wt=11): 3046 K(K(x,y),T(z,y) \ z) = 1. [para(3041(a,1),2156(a,1,2))]. given #2873 (H,wt=13): 3044 T(K(x,y),T(x,z)) = T(K(x,y),x). [hyper(240,a,3023,a,b,3039,a)]. given #2874 (H,wt=13): 3047 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1123(a,1),3046(a,1,1))]. given #2875 (H,wt=14): 3026 x * K(x,y) != z * x | K(x,y) = z. [para(3023(a,1),184(a,1,2)),flip(b)]. given #2876 (H,wt=14): 3029 K(x,y) * x != z | x * K(x,y) = z. [para(3024(a,1),231(a,1,2))]. given #2877 (H,wt=15): 3033 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3024(a,1),416(a,1,1,2)),flip(a)]. given #2878 (H,wt=13): 3051 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3033,a)]. given #2879 (H,wt=15): 3042 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3040(a,1),122(a,1,2))]. given #2880 (H,wt=15): 3050 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(73,a,3047,a(flip),b,2271,a),flip(a)]. given #2881 (H,wt=15): 3052 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3051(a,1,2,1))]. given #2882 (H,wt=13): 3056 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3052,a)]. given #2883 (H,wt=17): 3027 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3023(a,1),193(a,1,2,1)),flip(a)]. given #2884 (H,wt=10): 3060 K(x,R(K(x,y),z,u)) = 1. [hyper(72,a,3027,a,b,98,a),flip(a)]. given #2885 (H,wt=17): 3031 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3024(a,1),192(a,1,2,1)),flip(a)]. given #2886 (H,wt=12): 3061 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(183,a,3031,a)]. given #2887 (H,wt=17): 3032 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3024(a,1),193(a,1,2,1)),flip(a)]. given #2888 (H,wt=12): 3063 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(183,a,3032,a)]. given #2889 (H,wt=18): 3043 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(3040(a,1),231(a,1,2))]. given #2890 (H,wt=18): 3045 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3039(a,1),231(a,1,2))]. given #2891 (H,wt=19): 2897 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(2892(a,1),175(a,1,2,2)),flip(a)]. given #2892 (H,wt=19): 2919 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2125,a,2909,a),flip(a)]. given #2893 (H,wt=19): 2928 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). [hyper(240,a,863,a,b,2920,a),flip(a)]. given #2894 (H,wt=19): 2930 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2920(a,1),932(a,2,1))]. given #2895 (H,wt=19): 2934 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(73,a,2914,a(flip),b,2809,a)]. given #2896 (H,wt=19): 2946 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(240,a,1064,a(flip),b,2894,a)]. given #2897 (H,wt=19): 2992 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2938(a,1),2561(a,1,1))]. given #2898 (H,wt=19): 2993 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2943(a,1),2787(a,1,2))]. given #2899 (H,wt=19): 2995 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2951(a,1),2510(a,1,1))]. given #2900 (H,wt=19): 2996 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2772(a,1),2958(a,1,1)),flip(a)]. given #2901 (H,wt=19): 2998 (1 / (1 / x)) * ((y / (1 / (1 / x))) * x) = x * y. [para(2967(a,2),2741(a,1,2))]. given #2902 (H,wt=19): 3002 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(75,a,2974,a(flip),b,2582,a)]. given #2903 (H,wt=19): 3003 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2707(a,1),2977(a,1,1)),flip(a)]. given #2904 (H,wt=19): 3014 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3010(a,1),1669(a,1,1))]. given #2905 (H,wt=19): 3015 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3012(a,1),1669(a,1,1))]. given #2906 (H,wt=17): 3076 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,2695,a,b,3015,a(flip)),flip(a)]. given #2907 (H,wt=19): 3065 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(240,a,2284,a(flip),b,2919,a)]. given #2908 (H,wt=17): 3078 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(18,a,2888,a(flip),b,3065,a)]. given #2909 (H,wt=15): 3080 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(32(a,2),3078(a,1,1))]. given #2910 (H,wt=15): 3081 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(2270,a,3080,a)]. given #2911 (H,wt=15): 3083 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(73,a,3081,a(flip),b,1440,a(flip))]. given #2912 (H,wt=15): 3084 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1446,a,3083,a)]. given #2913 (H,wt=15): 3085 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(73,a,3083,a(flip),b,2934,a(flip))]. given #2914 (H,wt=17): 3086 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3084(a,1),2800(a,1,2))]. given #2915 (H,wt=13): 3087 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(240,a,3085,a(flip),b,3086,a(flip))]. given #2916 (H,wt=13): 3088 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(240,a,3050,a,b,3087,a(flip)),flip(a)]. given #2917 (H,wt=13): 3094 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3088(a,1),147(a,1,2,1))]. given #2918 (H,wt=15): 3089 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(240,a,2343,a,b,3087,a(flip)),flip(a)]. given #2919 (H,wt=15): 3095 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(3089(a,1),14(a,1,2))]. given #2920 (H,wt=19): 3070 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(2995(a,2),2928(a,1,2))]. given #2921 (H,wt=19): 3071 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(1377(a,1),2998(a,1,2))]. given #2922 (H,wt=19): 3091 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(124(a,1),3087(a,1,1,2)),flip(a)]. given #2923 (H,wt=17): 3097 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(124(a,1),3091(a,1,1)),flip(a)]. given #2924 (H,wt=19): 3093 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2989(a,1),3087(a,1,1))]. given #2925 (H,wt=19): 3096 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(81,a,3070,a)]. given #2926 (H,wt=20): 2947 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(73,a,482,a(flip),b,2894,a)]. given #2927 (H,wt=20): 2963 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2894(a,1),2705(a,1)),flip(a)]. given #2928 (H,wt=20): 2983 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [hyper(767,a,2941,a),flip(a)]. given #2929 (H,wt=20): 2994 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2949(a,1),2806(a,1,1))]. given #2930 (H,wt=20): 3017 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2773(a,1),2905(a,1))]. given #2931 (H,wt=20): 3034 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3024(a,1),383(a,1,2,1))]. given #2932 (H,wt=20): 3035 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(3024(a,1),384(a,1,2,1))]. given #2933 (H,wt=20): 3053 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(240,a,1639,a,b,3042,a(flip)),flip(a)]. given #2934 (H,wt=21): 2981 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1528(a,1),2939(a,1,1))]. given #2935 (H,wt=21): 2991 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1443(a,2),2938(a,1,2))]. given #2936 (H,wt=21): 3000 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(240,a,2046,a(flip),b,2970,a)]. given #2937 (H,wt=17): 3103 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(240,a,2760,a(flip),b,3000,a(flip)),flip(a)]. given #2938 (H,wt=21): 3018 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2658(a,2),2978(a,1,2)),flip(b)]. given #2939 (H,wt=21): 3038 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2656,a,3022,a)]. given #2940 (H,wt=21): 3054 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3042(a,1),1780(a,1,2,1))]. given #2941 (H,wt=21): 3098 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),3097(a,1,1,2)),flip(a)]. given #2942 (H,wt=17): 3105 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),3098(a,1,1)),flip(a)]. given #2943 (H,wt=17): 3106 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3105(a,1),62(a,1,2))]. given #2944 (H,wt=21): 3104 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3042(a,1),3054(a,2,1))]. given #2945 (H,wt=22): 2907 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2893(a,1),544(a,1,2,2))]. given #2946 (H,wt=22): 2957 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2894(a,2),288(a,1,1))]. given #2947 (H,wt=22): 3068 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2946(a,1),2905(a,1))]. given #2948 (H,wt=22): 3073 (x * y) * (x \ 1) != z * (1 / x) | (1 / (1 / x)) * y = z. [para(3003(a,1),20(a,1))]. given #2949 (H,wt=22): 3077 T(x,x \ 1) * T(x \ 1,y) != x * z | T(1 / x,y) = z. [para(3015(a,2),19(a,1))]. given #2950 (H,wt=22): 3079 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(3065(a,1),20(a,1))]. given #2951 (H,wt=22): 3092 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1687(a,1),3087(a,1,1,2)),flip(a)]. given #2952 (H,wt=18): 3108 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),3092(a,2,1))]. given #2953 (H,wt=22): 3101 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2950(a,2),2994(a,1,1))]. given #2954 (H,wt=23): 2880 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2872(a,1),2581(a,1,1)),flip(a)]. given #2955 (H,wt=19): 3110 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,3003,a,b,2880,a),flip(a)]. given #2956 (H,wt=13): 3111 T(1 / (1 / x),y / (y * x)) = x. [hyper(182,a,3110,a,b,xx)]. given #2957 (H,wt=13): 3113 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3111(a,1,2,2))]. given #2958 (H,wt=19): 3114 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3113(a,1),178(a,1,2,2))]. given #2959 (H,wt=23): 2997 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [para(2268(a,1),2961(a,1,2))]. given #2960 (H,wt=23): 3005 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2644(a,1),2982(a,1,2))]. given #2961 (H,wt=23): 3021 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(240,a,934,a(flip),b,3019,a(flip))]. given #2962 (H,wt=23): 3055 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3042(a,1),1915(a,1,1,2,1))]. given #2963 (H,wt=23): 3069 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(62(a,1),2993(a,2,2))]. given #2964 (H,wt=19): 3120 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(17,a,2997,a,b,3069,a)]. given #2965 (H,wt=23): 3118 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(2920(a,1),3021(a,2,1,1))]. given #2966 (H,wt=23): 3119 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(240,a,3042,a(flip),b,3055,a)]. given #2967 (H,wt=24): 3102 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2981(a,1),20(a,1))]. given #2968 (H,wt=25): 2855 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2853(a,2),2559(a,1,2))]. given #2969 (H,wt=25): 3066 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(62(a,1),2930(a,1,1,2)),flip(a)]. given #2970 (H,wt=25): 3072 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(124(a,2),3002(a,1,1))]. given #2971 (H,wt=25): 3090 (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),3087(a,1,1,2))]. given #2972 (H,wt=25): 3099 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1137(a,2),3093(a,1,1)),flip(a)]. given #2973 (H,wt=9): 3122 T(x,K(y,x) \ 1) = x. [para(3099(a,1),3040(a,1,2))]. given #2974 (H,wt=15): 3123 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3122(a,1),122(a,1,2))]. given #2975 (H,wt=24): 3124 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3123(a,1),171(a,2,1)),flip(a)]. given #2976 (H,wt=25): 3100 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1323(a,1),3093(a,1,1)),flip(a)]. given #2977 (H,wt=25): 3117 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2264(a,1),3005(a,1,2))]. given #2978 (H,wt=25): 3121 (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),3090(a,2,1))]. given #2979 (H,wt=25): 3126 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1510(a,1),3121(a,1,1)),flip(a)]. given #2980 (H,wt=26): 2952 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2894(a,1),106(a,1,1))]. given #2981 (H,wt=26): 2975 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2913(a,2),30(a,2,2)),flip(a)]. given #2982 (H,wt=26): 2980 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2939(a,1),119(a,2,1))]. given #2983 (H,wt=26): 3007 (x \ 1) \ T(x \ 1,y) != T(x \ 1,y) * z | T(x,T(x \ 1,y)) = z. [para(2989(a,2),183(a,2)),flip(a)]. given #2984 (H,wt=26): 3059 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(765,a,3027,a),flip(a)]. given #2985 (H,wt=26): 3062 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3061(a,1),384(a,1,2,1))]. given #2986 (H,wt=26): 3116 (((x \ y) \ 1) \ 1) * z != (x \ y) * x | y * (((y \ x) \ 1) \ 1) = z. [para(2997(a,1),19(a,1)),flip(a)]. given #2987 (H,wt=26): 3127 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2913(a,2),2975(a,1,1))]. given #2988 (H,wt=27): 2854 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2850(a,1),2758(a,1,1))]. given #2989 (H,wt=27): 3001 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2970(a,1),2777(a,1,2,1))]. given #2990 (H,wt=27): 3016 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3012(a,1),2310(a,1,1,1))]. given #2991 (H,wt=24): 3129 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1100(a,1),3016(a,2,1))]. given #2992 (H,wt=24): 3131 R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). [hyper(240,a,411,a(flip),b,3129,a)]. given #2993 (H,wt=27): 3132 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3129(a,2),654(a,1))]. given #2994 (H,wt=28): 2953 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). [para(2894(a,1),189(a,1,2))]. given #2995 (H,wt=28): 2954 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2894(a,2),468(a,1,2))]. given #2996 (H,wt=28): 2976 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2913(a,2),468(a,1,2))]. given #2997 (H,wt=28): 3112 (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. [para(3110(a,1),183(a,2))]. given #2998 (H,wt=28): 3128 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(122(a,2),3059(a,2,1,1,1))]. given #2999 (H,wt=29): 2979 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2913(a,1),2817(a,1,2,1))]. given #3000 (H,wt=29): 3004 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2743(a,1),2977(a,1,1))]. given #3001 (H,wt=29): 3067 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1621(a,1),2946(a,2,2))]. given #3002 (H,wt=29): 3107 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(771,a,2957,a)]. given #3003 (H,wt=22): 3134 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2947(a,1),3107(a,1,1,2))]. given #3004 (H,wt=29): 3125 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1443(a,1),3117(a,1,2))]. given #3005 (H,wt=29): 3135 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2536(a,1),3125(a,2,1,2))]. given #3006 (H,wt=25): 3136 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(240,a,139,a(flip),b,3135,a)]. given #3007 (H,wt=30): 2863 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(108(a,2),2857(a,2,2,2,2))]. given #3008 (H,wt=30): 2876 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(119(a,2),2860(a,1,1,1,1))]. given #3009 (H,wt=30): 2990 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2933(a,1),2391(a,2,1))]. given #3010 (H,wt=22): 3140 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(179(a,1),2990(a,2,1))]. given #3011 (H,wt=19): 3141 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(240,a,337,a(flip),b,3140,a)]. given #3012 (H,wt=23): 3144 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3141(a,1),263(a,1,2)),flip(a)]. given #3013 (H,wt=21): 3145 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(240,a,12,a(flip),b,3144,a)]. given #3014 (H,wt=24): 3146 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3145(a,1),299(a,1,1)),flip(b)]. given #3015 (H,wt=17): 3147 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3146,a,2413,a)]. given #3016 (H,wt=19): 3148 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(73,a,3147,a(flip),b,2147,a)]. given #3017 (H,wt=21): 3149 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(65(a,1),3147(a,1,2))]. given #3018 (H,wt=19): 3150 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1078(a,1),3149(a,1,1))]. given #3019 (H,wt=21): 3151 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1097(a,1),3150(a,1,1)),flip(a)]. given #3020 (H,wt=30): 3138 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3136(a,1),2599(a,1,1))]. given #3021 (H,wt=24): 3152 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(901(a,1),3138(a,2,1,2))]. given #3022 (H,wt=30): 3139 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(2865,a,2863,a),flip(a)]. given #3023 (H,wt=30): 3153 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2436(a,2),3139(a,1,2))]. given #3024 (H,wt=30): 3154 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(3153(a,1),230(a,1))]. given #3025 (H,wt=31): 2956 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2894(a,1),704(a,1,2))]. given #3026 (H,wt=31): 3155 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(3154,a,2464,a),flip(a)]. given #3027 (H,wt=31): 3156 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(2448(a,1),3155(a,2,2))]. given #3028 (H,wt=29): 3157 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(53(a,1),3156(a,2,2,2,2,2,2,2))]. given #3029 (H,wt=25): 3159 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),3157(a,2,2,2,2,2))]. given #3030 (H,wt=25): 3160 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1440(a,2),3159(a,2,2,2))]. given #3031 (H,wt=28): 3161 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3160(a,1),19(a,1)),flip(a)]. given #3032 (H,wt=32): 2984 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2941(a,1),108(a,2,1))]. given #3033 (H,wt=33): 2849 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2842(a,1),2700(a,2,1))]. given #3034 (H,wt=29): 3162 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1441(a,1),2849(a,1,1))]. given #3035 (H,wt=25): 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3081(a,1),3162(a,1,1))]. given #3036 (H,wt=21): 3165 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(65(a,1),3164(a,1,2,1))]. given #3037 (H,wt=21): 3167 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2918,a,3165,a)]. given #3038 (H,wt=21): 3168 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(2779,a,3165,a)]. given #3039 (H,wt=17): 3172 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [para(2841(a,1),3168(a,1,2))]. given #3040 (H,wt=13): 3175 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(240,a,2891,a(flip),b,3172,a(flip)),flip(a)]. given #3041 (H,wt=13): 3176 x * (T(x,y) \ 1) = x / T(x,y). [para(3175(a,1),14(a,1,2))]. given #3042 (H,wt=11): 3177 x / T(x,y) = T(x,y) \ x. [hyper(1001,a,3176,a),flip(a)]. given #3043 (H,wt=11): 3181 (T(x,y) \ x) * T(x,y) = x. [para(3177(a,1),16(a,1,1))]. given #3044 (H,wt=10): 3184 L(x,T(x,y) \ x,x) = x. [hyper(240,a,2114,a,b,3181,a(flip)),flip(a)]. given #3045 (H,wt=11): 3182 (T(x,y) \ x) \ x = T(x,y). [para(3177(a,1),65(a,1,1))]. given #3046 (H,wt=13): 3179 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1279,a,3177,a)]. given #3047 (H,wt=13): 3180 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(75,a,3177,a(flip),b,1248,a)]. given #3048 (H,wt=13): 3186 (x * y) * T(K(y,x),x) = y * x. [para(3184(a,1),2113(a,1,2)),flip(a)]. given #3049 (H,wt=9): 3189 T(K(x,y),y) = K(x,y). [hyper(265,a,3186,a),flip(a)]. given #3050 (H,wt=7): 3190 T(x,K(y,x)) = x. [hyper(35,a,3189,a)]. given #3051 (H,wt=7): 3194 K(x,K(y,x)) = 1. [hyper(36,a,3190,a)]. given #3052 (H,wt=9): 3204 T(x,y \ T(y,x)) = x. [para(1123(a,1),3190(a,1,2))]. given #3053 (H,wt=11): 3191 K(x,y) * y = y * K(x,y). [para(3189(a,1),122(a,1,2)),flip(a)]. given #3054 (H,wt=11): 3192 (x * K(y,x)) / x = K(y,x). [para(3189(a,1),177(a,1,1,2))]. given #3055 (H,wt=11): 3195 T(T(x,y),K(z,x)) = T(x,y). [para(3190(a,1),38(a,1,1)),flip(a)]. given #3056 (H,wt=11): 3205 T(x,x \ ((y * x) / y)) = x. [para(1335(a,1),3190(a,1,2))]. given #3057 (H,wt=11): 3215 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,3195,a)]. given #3058 (H,wt=12): 3213 T(K(x,y),y) != z | K(x,y) = z. [para(3192(a,1),256(a,1,1)),flip(b)]. given #3059 (H,wt=13): 3188 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(3180(a,2),65(a,1,1))]. given #3060 (H,wt=13): 3207 T(x \ T(x,y),y) = x \ T(x,y). [hyper(35,a,3204,a)]. given #3061 (H,wt=14): 3187 T(x,y) \ x != z | x / T(x,y) = z. [para(3179(a,1),1259(a,1))]. given #3062 (H,wt=14): 3196 K(x,y) * y != z | y * K(x,y) = z. [para(3190(a,1),231(a,1,2))]. given #3063 (H,wt=15): 3174 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1475,a,3172,a)]. given #3064 (H,wt=15): 3197 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3190(a,1),191(a,1,2,1)),flip(a)]. given #3065 (H,wt=15): 3208 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3204(a,1),122(a,1,2))]. given #3066 (H,wt=15): 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3205(a,1),209(a,1,2))]. given #3067 (H,wt=15): 3218 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(240,a,2645,a(flip),b,3174,a(flip)),flip(a)]. given #3068 (H,wt=15): 3224 x * (((y * x) / y) / x) = (y * x) / y. [para(3216(a,2),14(a,1,2))]. given #3069 (H,wt=16): 3183 T(x,y) \ x != z | (1 / T(x,y)) * x = z. [para(3177(a,1),1279(a,1))]. given #3070 (H,wt=17): 3173 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2905,a,3172,a)]. given #3071 (H,wt=17): 3193 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3189(a,1),192(a,1,2,1)),flip(a)]. given #3072 (H,wt=10): 3231 T(x,L(K(y,x),z,u)) = x. [hyper(183,a,3193,a)]. given #3073 (H,wt=17): 3198 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3190(a,1),192(a,1,2,1)),flip(a)]. given #3074 (H,wt=17): 3199 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3190(a,1),193(a,1,2,1)),flip(a)]. given #3075 (H,wt=17): 3217 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(240,a,2677,a(flip),b,3174,a(flip))]. given #3076 (H,wt=15): 3235 K(x / y,y / x) = K(y \ x,x \ y). [hyper(240,a,2665,a(flip),b,3217,a(flip)),flip(a)]. given #3077 (H,wt=17): 3219 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3174(a,1),2846(a,1,2))]. given #3078 (H,wt=11): 3237 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2981,a,b,3219,a),flip(a)]. given #3079 (H,wt=9): 3240 K(x,T(x,y) / x) = 1. [hyper(72,a,3237,a(flip),b,264,a),flip(a)]. given #3080 (H,wt=11): 3239 T(x,y) / x = x \ T(x,y). [hyper(81,a,3237,a),flip(a)]. given #3081 (H,wt=11): 3241 (x \ T(x,y)) * x = T(x,y). [para(3237(a,1),66(a,1,1,2))]. given #3082 (H,wt=9): 3252 T(x,x \ T(x,y)) = x. [hyper(280,a,3241,a)]. given #3083 (H,wt=11): 3242 T(1 / x,T(x,y)) = x \ 1. [hyper(73,a,3240,a(flip),b,1056,a),flip(a)]. given #3084 (H,wt=13): 3244 (1 / x) * T(x,y) = x \ T(x,y). [hyper(240,a,917,a,b,3239,a(flip)),flip(a)]. given #3085 (H,wt=13): 3259 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1123(a,2),3252(a,1,2))]. given #3086 (H,wt=13): 3261 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3242(a,1),194(a,1,1)),flip(a)]. given #3087 (H,wt=14): 3246 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3239(a,1),226(a,1,1)),flip(b)]. given #3088 (H,wt=15): 3255 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(123(a,1),3241(a,1,1,2))]. given #3089 (H,wt=15): 3264 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1156,a,3259,a)]. given #3090 (H,wt=15): 3269 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3264(a,1),14(a,1,2))]. given #3091 (H,wt=16): 3253 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(240,a,1662,a,b,3241,a(flip)),flip(a)]. given #3092 (H,wt=16): 3260 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(240,a,1642,a(flip),b,3242,a(flip)),flip(a)]. given #3093 (H,wt=14): 3273 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(177(a,1),3260(a,1,3,2))]. given #3094 (H,wt=14): 3274 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3099(a,1),3273(a,1,3))]. given #3095 (H,wt=16): 3262 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3242(a,1),364(a,2,1))]. given #3096 (H,wt=17): 3223 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(240,a,1361,a,b,3216,a(flip)),flip(a)]. given #3097 (H,wt=13): 3276 T(1 / x,(y * x) / y) = x \ 1. [hyper(182,a,3223,a,b,1341,a)]. given #3098 (H,wt=17): 3227 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(32(a,1),3218(a,1,2))]. given #3099 (H,wt=17): 3236 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(240,a,2688,a,b,3235,a(flip)),flip(a)]. given #3100 (H,wt=17): 3245 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(240,a,916,a,b,3239,a(flip)),flip(a)]. given #3101 (H,wt=17): 3250 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3239(a,1),2103(a,1,1))]. given #3102 (H,wt=17): 3263 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3242(a,1),1124(a,1,1)),flip(a)]. given #3103 (H,wt=15): 3283 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3261(a,1),3263(a,1,2)),flip(a)]. given #3104 (H,wt=13): 3284 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(240,a,285,a(flip),b,3283,a)]. given #3105 (H,wt=16): 3285 K(x \ 1,T(x,y)) != z | K(x \ 1,x) = z. [para(3283(a,2),546(a,1))]. given #3106 (H,wt=17): 3275 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(240,a,3124,a,b,3274,a(flip)),flip(a)]. given #3107 (H,wt=17): 3281 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3239(a,1),3250(a,2,2))]. given #3108 (H,wt=17): 3290 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(3281(a,1),16(a,1,1))]. given #3109 (H,wt=18): 3178 x / T(x,y) != z * u | (T(x,y) \ x) / u = z. [para(3176(a,1),1002(a,1))]. given #3110 (H,wt=18): 3200 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3190(a,1),382(a,1,2,1))]. given #3111 (H,wt=18): 3201 K(x,y) * y != z * u | z \ (y * K(x,y)) = u. [para(3190(a,1),520(a,1,2))]. given #3112 (H,wt=18): 3222 T(x,y) * K(z,x) != K(z,x) * u | T(x,y) = u. [para(3197(a,2),19(a,1))]. given #3113 (H,wt=18): 3228 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(3224(a,1),19(a,1))]. given #3114 (H,wt=18): 3243 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1640,a,3239,a),flip(a)]. given #3115 (H,wt=18): 3247 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3239(a,1),119(a,1,1))]. given #3116 (H,wt=19): 3202 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3190(a,1),410(a,1,2,1,1)),flip(a)]. given #3117 (H,wt=19): 3206 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3190(a,1),2208(a,1,1,1)),flip(a)]. given #3118 (H,wt=11): 3293 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,98,a(flip),b,3206,a)]. given #3119 (H,wt=11): 3294 x / K(y,x) = K(y,x) \ x. [hyper(90,a,3293,a)]. given #3120 (H,wt=14): 3295 x / K(y,x) != z | K(y,x) \ x = z. [para(3293(a,1),299(a,1,1)),flip(b)]. given #3121 (H,wt=18): 3296 x / K(y,x) != z * u | z \ (K(y,x) \ x) = u. [para(3293(a,1),523(a,1,1))]. given #3122 (H,wt=19): 3209 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(3204(a,1),191(a,1,2,1)),flip(a)]. given #3123 (H,wt=15): 3297 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(183,a,3209,a)]. given #3124 (H,wt=19): 3230 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3173(a,2),988(a,1,2))]. given #3125 (H,wt=19): 3258 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3252(a,1),191(a,1,2,1)),flip(a)]. given #3126 (H,wt=19): 3267 T(x,R(1 / y,y,x)) != z | T(x,x / (x * y)) = z. [para(1662(a,2),3246(a,1))]. given #3127 (H,wt=19): 3280 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3236(a,1),1459(a,1,1))]. given #3128 (H,wt=19): 3298 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2619,a,3230,a)]. given #3129 (H,wt=19): 3299 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1055,a,3258,a),flip(a)]. given #3130 (H,wt=19): 3303 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3299(a,2),981(a,1,2))]. given #3131 (H,wt=12): 3304 R(x,x \ T(x,y),T(x,z)) = x. [hyper(718,a,3303,a)]. given #3132 (H,wt=10): 3305 L(x,x \ T(x,y),x) = x. [para(3304(a,1),1047(a,1,1))]. given #3133 (H,wt=20): 3210 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3191(a,1),106(a,1,1))]. given #3134 (H,wt=20): 3232 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3199(a,1),19(a,1)),flip(a)]. given #3135 (H,wt=20): 3292 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3243(a,1),3088(a,1,2)),flip(a)]. given #3136 (H,wt=18): 3306 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(240,a,3106,a(flip),b,3292,a)]. given #3137 (H,wt=20): 3307 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(177(a,1),3306(a,2,1))]. given #3138 (H,wt=15): 3308 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3053(a,1),3307(a,1,1))]. given #3139 (H,wt=15): 3309 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3308(a,1),62(a,1,2))]. given #3140 (H,wt=17): 3310 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3308(a,1),3104(a,1,2)),flip(a)]. given #3141 (H,wt=19): 3311 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3308(a,1),3119(a,1,1,2))]. given #3142 (H,wt=21): 3220 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3174(a,1),2985(a,1,1))]. given #3143 (H,wt=21): 3221 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3174(a,1),2855(a,2,2))]. given #3144 (H,wt=21): 3229 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1362(a,1),3224(a,1,2))]. given #3145 (H,wt=21): 3257 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3241(a,1),483(a,1,1,1))]. given #3146 (H,wt=21): 3278 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(3227(a,1),2551(a,1,1,2))]. given #3147 (H,wt=19): 3317 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(2982(a,1),3278(a,1,1)),flip(a)]. given #3148 (H,wt=19): 3318 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3317(a,1),65(a,1,1))]. given #3149 (H,wt=19): 3319 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3318(a,1,1,1,1,2)),flip(a)]. given #3150 (H,wt=19): 3320 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3319(a,1),65(a,1,1))]. given #3151 (H,wt=19): 3322 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3320(a,1),3022(a,1,1)),flip(a)]. given #3152 (H,wt=21): 3279 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3227(a,1),2647(a,1,2)),flip(a)]. given #3153 (H,wt=21): 3301 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3227(a,1),3280(a,1,1))]. given #3154 (H,wt=16): 3323 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(3018,a,3301,a)]. given #3155 (H,wt=16): 3324 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(240,a,2887,a,b,3323,a)]. given #3156 (H,wt=16): 3327 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3323(a,2),2916(a,1,2))]. given #3157 (H,wt=16): 3330 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(123(a,2),3324(a,2,2,1)),flip(a)]. given #3158 (H,wt=17): 3328 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(240,a,169,a,b,3324,a),flip(a)]. given #3159 (H,wt=17): 3331 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(172(a,2),3327(a,2,2)),flip(a)]. given #3160 (H,wt=16): 3333 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(3267,a,3331,a),flip(a)]. given #3161 (H,wt=19): 3326 x * (((y / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. [para(3323(a,1),628(a,2,2)),flip(a)]. given #3162 (H,wt=19): 3334 T(x,R(y \ 1,y,x)) != z | T(x,x / (x * y)) = z. [para(3331(a,1),3267(a,1))]. given #3163 (H,wt=21): 3313 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2842(a,1),3220(a,2,2))]. given #3164 (H,wt=21): 3314 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(123(a,1),3221(a,1,2,1))]. given #3165 (H,wt=21): 3335 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3328(a,2),3331(a,2,2)),flip(a)]. given #3166 (H,wt=21): 3338 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(3314(a,1),16(a,1,1))]. given #3167 (H,wt=22): 3203 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3190(a,1),696(a,1,2,1,1))]. given #3168 (H,wt=22): 3254 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3241(a,1),28(a,2,1)),flip(a)]. given #3169 (H,wt=21): 3340 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3254(a,1),1011(a,1,2)),flip(a)]. given #3170 (H,wt=21): 3341 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3340(a,1,1)),flip(a)]. given #3171 (H,wt=22): 3256 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3241(a,1),106(a,1,1))]. given #3172 (H,wt=22): 3302 T(x,y) \ x != z * K(x \ 1,x) | x * (1 / T(x,y)) = z. [para(3298(a,1),20(a,1))]. given #3173 (H,wt=23): 3171 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3167(a,1),2986(a,1,2)),flip(a)]. given #3174 (H,wt=23): 3212 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3191(a,1),472(a,2,2))]. given #3175 (H,wt=23): 3251 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3239(a,1),2188(a,1,1,2))]. given #3176 (H,wt=23): 3336 (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. [para(3326(a,1),2597(a,2,1))]. given #3177 (H,wt=21): 3344 ((1 / (x / (y * x))) \ 1) \ 1 = ((x / (y * x)) * y) \ y. [para(2053(a,1),3336(a,1,1,1))]. given #3178 (H,wt=17): 3345 ((x / (y * x)) * y) \ y = (x / (y * x)) \ 1. [para(65(a,1),3344(a,1,1)),flip(a)]. given #3179 (H,wt=23): 3343 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3239(a,1),3251(a,2,2,1,2))]. given #3180 (H,wt=15): 3348 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3311,a(flip),b,3343,a(flip))]. given #3181 (H,wt=24): 3211 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3191(a,1),120(a,1,1,1))]. given #3182 (H,wt=24): 3214 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3192(a,1),493(a,1,1,1))]. given #3183 (H,wt=24): 3248 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3239(a,1),491(a,1,1))]. given #3184 (H,wt=24): 3316 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(3229(a,1),19(a,1))]. given #3185 (H,wt=24): 3329 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3324(a,2),124(a,1,1))]. given #3186 (H,wt=24): 3339 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(240,a,1646,a,b,3335,a)]. given #3187 (H,wt=24): 3350 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(411(a,1),3248(a,2,1))]. given #3188 (H,wt=24): 3351 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(240,a,42,a,b,3329,a(flip)),flip(a)]. given #3189 (H,wt=20): 3353 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2738(a,1),3351(a,1,1))]. given #3190 (H,wt=17): 3354 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(240,a,965,a(flip),b,3353,a(flip)),flip(a)]. given #3191 (H,wt=17): 3355 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(123(a,2),3354(a,2,1,1)),flip(a)]. given #3192 (H,wt=25): 3170 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1443(a,1),3167(a,1,2))]. given #3193 (H,wt=21): 3356 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(62(a,1),3170(a,2,1,1,2))]. given #3194 (H,wt=21): 3357 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2896,a,3356,a)]. given #3195 (H,wt=21): 3358 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(13(a,1),3357(a,1,2)),flip(a)]. given #3196 (H,wt=21): 3359 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(3358(a,1),14(a,1,2))]. given #3197 (H,wt=23): 3360 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2700(a,1),3359(a,1,2))]. given #3198 (H,wt=23): 3361 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3360(a,1),984(a,1,2))]. given #3199 (H,wt=25): 3337 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(123(a,1),3313(a,1,2,2))]. given #3200 (H,wt=26): 3249 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(3239(a,1),1565(a,2,2,1))]. given #3201 (H,wt=26): 3277 x \ ((y * x) / y) != ((y * x) / y) * z | T(1 / x,(y * x) / y) = z. [para(3223(a,1),183(a,2)),flip(a)]. given #3202 (H,wt=26): 3321 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2709(a,1),3320(a,1,1,1,1))]. given #3203 (H,wt=26): 3349 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3343(a,2),19(a,1))]. given #3204 (H,wt=26): 3363 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(3208(a,1),3249(a,2,2))]. given #3205 (H,wt=25): 3364 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(240,a,202,a(flip),b,3363,a)]. given #3206 (H,wt=23): 3365 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3223(a,1),3364(a,1,1))]. given #3207 (H,wt=22): 3366 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(240,a,1033,a(flip),b,3365,a(flip)),flip(a)]. given #3208 (H,wt=18): 3367 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(14(a,1),3366(a,1,1,2)),flip(a)]. given #3209 (H,wt=18): 3368 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(3239(a,1),3367(a,2,1))]. given #3210 (H,wt=16): 3369 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(240,a,3207,a(flip),b,3368,a)]. given #3211 (H,wt=17): 3370 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(75,a,3369,a(flip),b,202,a)]. given #3212 (H,wt=14): 3371 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(394,a,3370,a)]. given #3213 (H,wt=16): 3372 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(1057(a,1),3371(a,1,3))]. given #3214 (H,wt=12): 3373 R(1 / x,x,K(y,x)) = 1 / x. [para(1135(a,2),3372(a,1,3))]. given #3215 (H,wt=13): 3374 (1 / x) \ K(y,x) = x * K(y,x). [para(3373(a,1),366(a,1,1))]. given #3216 (H,wt=13): 3376 (1 / x) * (x * K(y,x)) = K(y,x). [para(3374(a,1),14(a,1,2))]. given #3217 (H,wt=16): 3377 x * (y * K(z,y)) != K(z,y) | 1 / y = x. [para(3374(a,1),88(a,1,2)),flip(b)]. given #3218 (H,wt=17): 3375 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(539,a,3374,a),flip(a)]. given #3219 (H,wt=20): 3378 (x \ 1) * K(y,x \ 1) != z | x \ K(y,x \ 1) = z. [para(3374(a,1),539(a,1))]. given #3220 (H,wt=28): 3325 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(118(a,1),3323(a,2,1,1,2))]. given #3221 (H,wt=29): 3362 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2756(a,1),3360(a,1,2)),flip(a)]. given #3222 (H,wt=27): 3380 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2790(a,1),3362(a,1,2))]. given #3223 (H,wt=29): 3381 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(123(a,2),3380(a,1,2,1))]. given #3224 (H,wt=30): 3352 T(x,R((y \ z) \ 1,((y \ z) \ 1) \ 1,x)) = (y \ (z * ((x * (z \ y)) / x))) * x. [para(1808(a,1),3339(a,2,1))]. given #3225 (H,wt=26): 3382 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = (y \ (x * (y / x))) * x. [para(14(a,1),3352(a,2,1,2,2,1))]. given #3226 (H,wt=24): 3383 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(101(a,1),3382(a,2,1))]. given #3227 (H,wt=24): 3384 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = x * K(x,y / x). [hyper(240,a,3025,a(flip),b,3383,a)]. given #3228 (H,wt=27): 3385 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3383(a,2),3029(a,1))]. given #3229 (H,wt=31): 3225 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(804(a,1),3216(a,1,1)),flip(a)]. given #3230 (H,wt=27): 3386 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(804(a,1),3225(a,1,2)),flip(a)]. given #3231 (H,wt=24): 3387 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(240,a,1779,a(flip),b,3386,a(flip))]. given #3232 (H,wt=32): 3288 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3284(a,1),996(a,1,1,2))]. given #3233 (H,wt=32): 3342 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(240,a,2142,a,b,3256,a(flip)),flip(a)]. given #3234 (H,wt=28): 3389 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3341(a,1),3342(a,1,1))]. given #3235 (H,wt=26): 3390 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(799,a,3389,a)]. given #3236 (H,wt=22): 3391 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3390(a,1,1)),flip(a)]. given #3237 (H,wt=15): 3392 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(73,a,3305,a(flip),b,3391,a)]. given #3238 (H,wt=22): 3394 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3243(a,1),3392(a,1,1)),flip(a)]. given #3239 (H,wt=19): 3395 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3306(a,1),3394(a,1,2)),flip(a)]. given #3240 (H,wt=21): 3396 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(177(a,1),3395(a,1,1,2)),flip(a)]. given #3241 (H,wt=15): 3397 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(177(a,1),3396(a,1,2,1)),flip(a)]. given #3242 (H,wt=15): 3398 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3397(a,1),14(a,1,2))]. given #3243 (H,wt=24): 3393 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1687(a,1),3392(a,1,1,2)),flip(a)]. given #3244 (H,wt=20): 3399 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3393(a,2,1))]. given #3245 (H,wt=13): 3401 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3108(a,1),3399(a,1,2))]. given #3246 (H,wt=33): 2999 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2842(a,1),2968(a,1,2,2))]. given #3247 (H,wt=29): 3402 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1505(a,1),2999(a,1,1))]. given #3248 (H,wt=25): 3403 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3174(a,1),3402(a,1,1))]. given #3249 (H,wt=21): 3404 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),3403(a,2,2))]. given #3250 (H,wt=23): 3407 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3404(a,1),2787(a,1,2))]. given #3251 (H,wt=33): 3270 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1087(a,1),3264(a,1,1,1,1))]. given #3252 (H,wt=31): 3408 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1087(a,1),3270(a,2,1))]. given #3253 (H,wt=34): 2882 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(148(a,1),2875(a,1,2,1,1,2))]. given #3254 (H,wt=34): 2955 (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(2894(a,2),608(a,1,1))]. given #3255 (H,wt=27): 3409 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2956,a,2955,a),flip(a)]. given #3256 (H,wt=34): 3074 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3014(a,1),28(a,2,1)),flip(a)]. given #3257 (H,wt=34): 3347 L(1 / (x \ ((y / (x * y)) * x)),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3345(a,1),2293(a,2,2,2))]. given #3258 (H,wt=32): 3410 L(1 / T(x / (y * x),y),y \ ((x / (y * x)) * y),y) = 1 / (1 / ((x / (y * x)) \ 1)). [para(32(a,2),3347(a,1,1,2))]. given #3259 (H,wt=31): 3411 L(1 / R(x \ 1,x,y),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(622(a,1),3410(a,1,1,2))]. given #3260 (H,wt=35): 3379 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3325(a,1),487(a,1,1))]. given #3261 (H,wt=35): 3412 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2878,a,3379,a)]. given #3262 (H,wt=37): 2735 ((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(2703(a,1),442(a,1,1))]. given #3263 (H,wt=31): 3413 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2703(a,1),2735(a,1,2)),flip(a)]. given #3264 (H,wt=24): 3414 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1). [hyper(240,a,28,a,b,3413,a)]. given #3265 (H,wt=27): 3415 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3413(a,2),449(a,1))]. given #3266 (H,wt=38): 3271 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2721(a,1),3269(a,1,1,1,1))]. given #3267 (H,wt=34): 3416 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3271(a,1,1,1))]. given #3268 (H,wt=37): 3418 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3416(a,1),20(a,1)),flip(a)]. given #3269 (H,wt=39): 2794 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(2712(a,2),2142(a,1,1))]. given #3270 (H,wt=32): 3419 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3101(a,1),2794(a,1,1))]. given #3271 (H,wt=39): 3233 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3199(a,2),444(a,1,1,2))]. given #3272 (H,wt=39): 3291 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1087(a,1),3243(a,2,2,1))]. given #3273 (H,wt=35): 3420 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3335(a,1),3291(a,1,2))]. given #3274 (H,wt=35): 3421 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(42(a,2),3420(a,1,2))]. given #3275 (H,wt=29): 3422 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(2040(a,1),3421(a,1,2,1)),flip(a)]. given #3276 (H,wt=25): 3423 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(240,a,1510,a(flip),b,3422,a)]. given #3277 (H,wt=23): 3425 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(240,a,3103,a(flip),b,3423,a(flip)),flip(a)]. given #3278 (H,wt=23): 3426 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1790(a,2),3425(a,1,2))]. given #3279 (H,wt=28): 3427 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3426(a,1),2463(a,1,1)),flip(a)]. given #3280 (H,wt=39): 3312 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1133(a,1),3309(a,1,2,2))]. given #3281 (H,wt=25): 3428 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3038(a,1),3312(a,1,2)),flip(a)]. given #3282 (H,wt=23): 3430 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3100(a,1),3428(a,1,2))]. given #3283 (H,wt=19): 3431 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3430(a,1,2,1,2,2,1))]. given #3284 (H,wt=17): 3432 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(122(a,1),3431(a,1,2,1,2))]. given #3285 (H,wt=13): 3433 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3432(a,1,2,1))]. given #3286 (H,wt=13): 3434 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(240,a,3294,a(flip),b,3433,a)]. given #3287 (H,wt=13): 3435 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(73,a,3294,a(flip),b,3433,a)]. given #3288 (H,wt=13): 3437 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(73,a,3434,a(flip),b,3123,a)]. given #3289 (H,wt=15): 3439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3434(a,1),3275(a,1,1))]. given #3290 (H,wt=15): 3441 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3439(a,1),14(a,1,2))]. given #3291 (H,wt=16): 3438 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3434(a,1),19(a,1))]. given #3292 (H,wt=17): 3440 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3437(a,1),902(a,1,2,1))]. given #3293 (H,wt=20): 3436 x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. [para(3433(a,2),3296(a,1))]. given #3294 (H,wt=21): 3443 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(240,a,271,a(flip),b,3440,a(flip))]. given #3295 (H,wt=21): 3444 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(646,a,3443,a),flip(a)]. given #3296 (H,wt=22): 3442 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3441(a,1),2578(a,1,1)),flip(a)]. given #3297 (H,wt=20): 3445 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(240,a,3444,a(flip),b,3442,a)]. given #3298 (H,wt=25): 3429 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(240,a,3294,a(flip),b,3428,a)]. given #3299 (H,wt=27): 3446 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3445(a,1),2326(a,1,2,2))]. given #3300 (H,wt=19): 3448 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(555,a,3446,a),flip(a)]. given #3301 (H,wt=11): 3449 K(x,(y \ 1) \ 1) = K(x,y). [hyper(240,a,632,a(flip),b,3448,a),flip(a)]. given #3302 (H,wt=11): 3451 K(x,1 / y) = K(x,y \ 1). [para(65(a,1),3449(a,1,2,1)),flip(a)]. given #3303 (H,wt=11): 3452 K(x,T(y,y \ 1)) = K(x,y). [para(123(a,2),3449(a,1,2))]. given #3304 (H,wt=11): 3453 K(x,1 / (1 / y)) = K(x,y). [para(149(a,1),3449(a,1,2)),flip(a)]. given #3305 (H,wt=11): 3454 K(x,T(y,1 / y)) = K(x,y). [para(1419(a,2),3449(a,1,2))]. given #3306 (H,wt=14): 3450 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3448(a,2),634(a,1))]. given #3307 (H,wt=15): 3455 K(x,T(y / z,z / y)) = K(x,y / z). [para(2047(a,2),3449(a,1,2))]. given #3308 (H,wt=15): 3456 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2851(a,1),3449(a,1,2)),flip(a)]. given #3309 (H,wt=17): 3462 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3451(a,2),3375(a,2,2))]. given #3310 (H,wt=19): 3465 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(2862(a,2),3453(a,1,2))]. given #3311 (H,wt=21): 3457 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3449(a,1),3375(a,2,2))]. given #3312 (H,wt=17): 3466 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3449(a,1),3457(a,1,2))]. given #3313 (H,wt=19): 3467 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(240,a,2986,a,b,3466,a(flip)),flip(a)]. given #3314 (H,wt=22): 3460 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(240,a,1688,a,b,3451,a(flip)),flip(a)]. given #3315 (H,wt=18): 3468 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(240,a,3425,a(flip),b,3460,a(flip)),flip(a)]. given #3316 (H,wt=23): 3464 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2442(a,1),3453(a,1,2))]. given #3317 (H,wt=23): 3469 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3460(a,1),2402(a,1,1))]. given #3318 (H,wt=27): 3447 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3429(a,1),3310(a,1,1)),flip(a)]. given #3319 (H,wt=25): 3471 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(2989(a,1),3447(a,1,2))]. given #3320 (H,wt=13): 3472 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1135(a,2),3471(a,1,2)),flip(a)]. given #3321 (H,wt=13): 3473 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3472(a,1),62(a,1,2))]. given #3322 (H,wt=27): 3470 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3468(a,1),3427(a,2,1))]. given #3323 (H,wt=27): 3474 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(240,a,3469,a(flip),b,3470,a)]. given #3324 (H,wt=17): 3475 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1440,a(flip),b,3474,a)]. given #3325 (H,wt=17): 3476 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(240,a,3151,a,b,3475,a(flip)),flip(a)]. given #3326 (H,wt=17): 3477 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3476(a,1),62(a,1,2)),flip(a)]. given #3327 (H,wt=17): 3478 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),3476(a,1,1,1,2)),flip(a)]. given #3328 (H,wt=17): 3479 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(144(a,1),3476(a,1,1,1)),flip(a)]. given #3329 (H,wt=17): 3481 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),3477(a,1,1,2)),flip(a)]. given #3330 (H,wt=17): 3483 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3479(a,1),65(a,1,1)),flip(a)]. given #3331 (H,wt=17): 3484 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3481(a,1),2922(a,1,2))]. given #3332 (H,wt=17): 3486 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3483(a,2),2916(a,1,2))]. given #3333 (H,wt=21): 3480 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2842(a,1),3476(a,1,1,1))]. given #3334 (H,wt=22): 3485 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(488(a,1),3483(a,2,1,1))]. given #3335 (H,wt=24): 3488 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(691(a,1),3480(a,1,1)),flip(a)]. given #3336 (H,wt=30): 3487 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3483(a,2),2876(a,1,1))]. given #3337 (H,wt=27): 3489 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(233,a,3487,a),flip(a)]. given #3338 (H,wt=27): 3490 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2860(a,1),3489(a,2,1))]. given #3339 (H,wt=30): 3492 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(240,a,2882,a(flip),b,3490,a(flip)),flip(a)]. given #3340 (H,wt=30): 3493 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3483(a,2),3492(a,1,1))]. given #3341 (H,wt=24): 3494 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3279(a,1),3493(a,2,1))]. given #3342 (H,wt=31): 3482 L(R(1 / x,x,y) \ 1,x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3478(a,1),3411(a,1,1))]. given #3343 (H,wt=29): 3496 L(R(1 / x,x,y) \ 1,T(y / (x * y),x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(32(a,2),3482(a,1,2))]. given #3344 (H,wt=28): 3497 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(622(a,1),3496(a,1,2))]. given #3345 (H,wt=24): 3498 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (y / (x * y)). [para(62(a,1),3497(a,2,2))]. given #3346 (H,wt=31): 3491 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(240,a,3412,a(flip),b,3490,a(flip)),flip(a)]. given #3347 (H,wt=25): 3500 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3279(a,1),3491(a,2,1))]. given #3348 (H,wt=35): 3495 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3485(a,1),3494(a,1,1))]. given #3349 (H,wt=31): 3501 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3495(a,1,2,1))]. given #3350 (H,wt=29): 3502 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1413,a,3501,a),flip(a)]. given #3351 (H,wt=40): 3133 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(240,a,402,a,b,3004,a),flip(a)]. given #3352 (H,wt=36): 3504 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),3133(a,1,1,3))]. given #3353 (H,wt=36): 3505 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2517(a,1),3504(a,1,1))]. given #3354 (H,wt=42): 2620 L((x * ((y * x) \ y)) \ z,(1 / x) \ ((y * (1 / (1 / x))) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2546(a,1),454(a,1,1,1))]. given #3355 (H,wt=36): 3506 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2546(a,1),2620(a,1,2))]. given #3356 (H,wt=42): 2679 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(2678(a,1),1134(a,1,1,2))]. given #3357 (H,wt=32): 3507 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),2679(a,1,1,2))]. given #3358 (H,wt=24): 3509 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1088(a,1),3507(a,1,1)),flip(a)]. given #3359 (H,wt=24): 3511 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3509(a,1),3408(a,1,1))]. given #3360 (H,wt=26): 3512 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(73,a,3511,a(flip),b,3401,a)]. given #3361 (H,wt=24): 3513 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(240,a,3103,a(flip),b,3512,a(flip)),flip(a)]. given #3362 (H,wt=19): 3514 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(240,a,3460,a(flip),b,3513,a(flip))]. given #3363 (H,wt=19): 3515 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3514(a,1),2280(a,1,1))]. given #3364 (H,wt=20): 3516 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3468(a,2),3515(a,1,1))]. given #3365 (H,wt=22): 3517 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(240,a,3126,a,b,3516,a(flip)),flip(a)]. given #3366 (H,wt=19): 3518 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3132,a,3517,a)]. given #3367 (H,wt=22): 3519 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(240,a,3387,a,b,3518,a(flip)),flip(a)]. given #3368 (H,wt=22): 3521 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3519(a,1),14(a,1,2))]. given #3369 (H,wt=22): 3522 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(240,a,3477,a(flip),b,3521,a)]. given #3370 (H,wt=20): 3523 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1472,a,b,3522,a),flip(a)]. given #3371 (H,wt=20): 3524 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(405,a,3523,a)]. given #3372 (H,wt=22): 3526 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3524(a,1),3500(a,1,1))]. given #3373 (H,wt=23): 3525 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3524(a,1),316(a,1))]. given #3374 (H,wt=25): 3527 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3526(a,1),20(a,1))]. given #3375 (H,wt=26): 3528 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3022(a,1),3526(a,1,1))]. given #3376 (H,wt=22): 3529 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1507(a,1),3528(a,2,1,2))]. given #3377 (H,wt=25): 3530 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3529(a,2),20(a,1))]. given #3378 (H,wt=28): 3520 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3518(a,1),2238(a,2,1,1))]. given #3379 (H,wt=25): 3531 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3523(a,1),3520(a,1,1)),flip(a)]. given #3380 (H,wt=13): 3532 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(438,a,3531,a)]. given #3381 (H,wt=13): 3533 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3022(a,1),3532(a,1,3))]. given #3382 (H,wt=25): 3534 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3533(a,1),106(a,1,2))]. given #3383 (H,wt=18): 3535 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3529,a(flip),b,3534,a)]. given #3384 (H,wt=14): 3536 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2913,a,b,3535,a)]. given #3385 (H,wt=10): 3540 L(x,y,K(z,z \ 1)) = x. [para(3536(a,1),3533(a,1,3))]. given #3386 (H,wt=10): 3545 L(x,y,K(z,1 / z)) = x. [para(1437(a,2),3540(a,1,3))]. given #3387 (H,wt=10): 3546 L(x,y,K(z \ 1,z)) = x. [para(1443(a,1),3540(a,1,3))]. given #3388 (H,wt=12): 3548 L(x,y,K(z \ u,u \ z)) = x. [para(2260(a,1),3540(a,1,3))]. given #3389 (H,wt=12): 3553 L(x,y,K(z \ 1,z)) = 1 * x. [hyper(323,a,3546,a),flip(a)]. given #3390 (H,wt=13): 3552 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3415,a,3546,a),flip(a)]. given #3391 (H,wt=13): 3571 L(x,y,K(z \ 1,z)) != u | x = u. [para(3553(a,2),77(a,1))]. given #3392 (H,wt=13): 3576 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),3552(a,1,3)),flip(a)]. given #3393 (H,wt=15): 3560 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(240,a,3134,a(flip),b,3546,a(flip))]. given #3394 (H,wt=15): 3580 x * a(x,y \ 1,y) = R(x,y \ 1,y). [para(3560(a,1),14(a,1,2))]. given #3395 (H,wt=16): 3568 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3546(a,1),3415(a,1))]. given #3396 (H,wt=16): 3575 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(240,a,459,a(flip),b,3552,a(flip))]. given #3397 (H,wt=17): 3543 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3540(a,1),391(a,1,2)),flip(a)]. given #3398 (H,wt=17): 3547 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3540(a,1),1870(a,1,2)),flip(a)]. given #3399 (H,wt=17): 3551 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3545(a,1),391(a,1,2)),flip(a)]. given #3400 (H,wt=17): 3587 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2918,a,3547,a)]. given #3401 (H,wt=18): 3577 a(x,y \ 1,y) != z | x \ R(x,y \ 1,y) = z. [para(3134(a,1),3571(a,1))]. given #3402 (H,wt=18): 3581 R(x,y \ 1,y) != x * z | a(x,y \ 1,y) = z. [para(3580(a,1),19(a,1))]. given #3403 (H,wt=18): 3582 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(3580(a,1),241(a,1,2)),flip(b)]. given #3404 (H,wt=19): 3539 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3536(a,1),3529(a,1,1)),flip(a)]. given #3405 (H,wt=19): 3542 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3540(a,1),106(a,1,2))]. given #3406 (H,wt=14): 3593 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(472,a,3542,a)]. given #3407 (H,wt=19): 3544 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3540(a,1),501(a,1,2))]. given #3408 (H,wt=19): 3550 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3545(a,1),106(a,1,2))]. given #3409 (H,wt=19): 3561 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(240,a,2984,a(flip),b,3546,a(flip))]. given #3410 (H,wt=17): 3601 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3561(a,2,2))]. given #3411 (H,wt=17): 3602 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1469(a,1),3561(a,2,2))]. given #3412 (H,wt=19): 3562 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3546(a,1),106(a,1,2))]. given #3413 (H,wt=19): 3563 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3546(a,1),501(a,1,2))]. given #3414 (H,wt=17): 3611 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(878(a,1),3563(a,1,1)),flip(a)]. given #3415 (H,wt=17): 3612 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(2768(a,1),3563(a,1,1)),flip(a)]. given #3416 (H,wt=17): 3613 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2959,a,3611,a)]. given #3417 (H,wt=19): 3566 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(3546(a,1),2734(a,1,2))]. given #3418 (H,wt=19): 3567 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3546(a,1),2952(a,1,2))]. given #3419 (H,wt=14): 3617 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3527,a,3567,a)]. given #3420 (H,wt=17): 3619 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(75,a,64,a(flip),b,3567,a),flip(a)]. given #3421 (H,wt=17): 3625 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3525,a,3617,a)]. given #3422 (H,wt=19): 3596 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2913(a,1),3544(a,1,1))]. given #3423 (H,wt=19): 3598 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(240,a,2910,a(flip),b,3550,a)]. given #3424 (H,wt=19): 3604 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2913(a,2),3561(a,1,1))]. given #3425 (H,wt=19): 3618 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(240,a,2894,a(flip),b,3567,a)]. given #3426 (H,wt=19): 3629 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3625(a,1),1469(a,1,1))]. given #3427 (H,wt=19): 3631 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(75,a,92,a(flip),b,3598,a)]. given #3428 (H,wt=19): 3633 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(73,a,93,a(flip),b,3618,a)]. given #3429 (H,wt=19): 3639 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2939(a,1),3633(a,1,2))]. given #3430 (H,wt=17): 3640 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(12(a,1),3639(a,2,2))]. given #3431 (H,wt=17): 3642 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2894(a,2),3640(a,1,1))]. given #3432 (H,wt=20): 3559 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(240,a,3409,a,b,3546,a(flip)),flip(a)]. given #3433 (H,wt=20): 3586 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3543(a,1),2918(a,1))]. given #3434 (H,wt=21): 3583 T((1 / x) * y,z) != u | L(T(x \ y,z),x,x \ 1) = u. [para(570(a,1),3568(a,1))]. given #3435 (H,wt=21): 3595 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(240,a,2462,a,b,3593,a(flip)),flip(a)]. given #3436 (H,wt=21): 3599 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(2750(a,1),3550(a,1,1)),flip(a)]. given #3437 (H,wt=21): 3605 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2972(a,1),3561(a,1,1)),flip(a)]. given #3438 (H,wt=16): 3647 ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). [hyper(893,a,3605,a),flip(a)]. given #3439 (H,wt=15): 3648 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(2709(a,1),3647(a,1,1))]. given #3440 (H,wt=15): 3649 x / a(y \ 1,y,x) = L(x,y,y \ 1). [para(3648(a,1),62(a,1,2))]. given #3441 (H,wt=18): 3650 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(3649(a,1),250(a,1,1)),flip(b)]. given #3442 (H,wt=21): 3610 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3563(a,1),124(a,1,1))]. given #3443 (H,wt=21): 3614 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(209(a,1),3612(a,1,2)),flip(a)]. given #3444 (H,wt=21): 3620 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(240,a,3338,a(flip),b,3567,a(flip))]. given #3445 (H,wt=21): 3626 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3617(a,1),1091(a,1,2))]. given #3446 (H,wt=15): 3652 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2900,a,b,3626,a),flip(a)]. given #3447 (H,wt=13): 3654 R(x,y,z) / x = x \ R(x,y,z). [hyper(1105,a,3652,a)]. given #3448 (H,wt=13): 3655 (x \ R(x,y,z)) * x = R(x,y,z). [para(3652(a,1),1102(a,1,1))]. given #3449 (H,wt=10): 3661 T(x,x \ R(x,y,z)) = x. [hyper(280,a,3655,a)]. given #3450 (H,wt=10): 3663 K(x,x \ R(x,y,z)) = 1. [hyper(36,a,3661,a)]. given #3451 (H,wt=15): 3657 T(x \ R(x,y,z),x) = x \ R(x,y,z). [para(3654(a,1),124(a,1,1))]. given #3452 (H,wt=15): 3662 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(678(a,1),3655(a,1,1))]. given #3453 (H,wt=16): 3656 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(3652(a,1),1105(a,1))]. given #3454 (H,wt=18): 3658 T(x \ R(x,y,z),x) != u | x \ R(x,y,z) = u. [para(3654(a,1),387(a,1,1))]. given #3455 (H,wt=21): 3630 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3625(a,1),2965(a,1,1,1)),flip(a)]. given #3456 (H,wt=17): 3664 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(240,a,2965,a(flip),b,3630,a)]. given #3457 (H,wt=17): 3665 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1444,a,3664,a)]. given #3458 (H,wt=17): 3666 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3595,a,b,3665,a),flip(a)]. given #3459 (H,wt=20): 3667 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3666(a,1),241(a,1,2)),flip(b)]. given #3460 (H,wt=21): 3635 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(73,a,3629,a(flip),b,2729,a),flip(a)]. given #3461 (H,wt=17): 3668 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3667,a,3635,a),flip(a)]. given #3462 (H,wt=15): 3669 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(240,a,3148,a(flip),b,3668,a(flip)),flip(a)]. given #3463 (H,wt=17): 3670 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3668(a,1),14(a,1,2))]. given #3464 (H,wt=21): 3636 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3629(a,1),2958(a,1,1))]. given #3465 (H,wt=22): 3594 (K(x,x \ 1) * y) * z != u * (y * z) | K(x,x \ 1) = u. [para(3542(a,2),20(a,1))]. given #3466 (H,wt=22): 3634 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3618(a,2),2896(a,1))]. given #3467 (H,wt=22): 3659 (x / y) \ R(x / y,y,y \ 1) = (x * (y \ 1)) / (x / y). [para(488(a,1),3654(a,1,1)),flip(a)]. given #3468 (H,wt=19): 3671 (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). [para(488(a,1),3659(a,1,2)),flip(a)]. given #3469 (H,wt=23): 3570 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3548(a,1),106(a,1,2))]. given #3470 (H,wt=23): 3578 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(3409(a,2),3571(a,1))]. given #3471 (H,wt=23): 3638 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(240,a,123,a,b,3633,a),flip(a)]. given #3472 (H,wt=23): 3660 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3654(a,1),498(a,1,1))]. given #3473 (H,wt=23): 3672 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2919(a,1),3570(a,1,1))]. given #3474 (H,wt=24): 3646 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3595(a,1),19(a,1))]. given #3475 (H,wt=24): 3675 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3672(a,2),164(a,1)),flip(b)]. given #3476 (H,wt=25): 3573 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(240,a,2718,a,b,3552,a(flip)),flip(a)]. given #3477 (H,wt=25): 3589 L(x \ R(x,y \ 1,y),z,K(u \ 1,u)) != w | a(x,y \ 1,y) = w. [para(3546(a,2),3582(a,1))]. given #3478 (H,wt=26): 3591 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(75,a,3539,a(flip),b,118,a)]. given #3479 (H,wt=17): 3676 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(240,a,3127,a(flip),b,3591,a(flip))]. given #3480 (H,wt=21): 3677 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1443(a,1),3676(a,1,2)),flip(a)]. given #3481 (H,wt=17): 3678 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1443(a,1),3677(a,1,3)),flip(a)]. given #3482 (H,wt=10): 3679 R(x,K(x \ 1,x),y) = x. [hyper(240,a,2618,a(flip),b,3678,a)]. given #3483 (H,wt=14): 3680 R(1 / x,K(x \ 1,x),y) = 1 / x. [hyper(240,a,2609,a(flip),b,3678,a)]. given #3484 (H,wt=23): 3681 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3679(a,1),477(a,1,1,1)),flip(a)]. given #3485 (H,wt=12): 3683 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(438,a,3681,a)]. given #3486 (H,wt=14): 3684 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3174(a,1),3683(a,1,2))]. given #3487 (H,wt=26): 3597 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3544(a,1),2980(a,1,1))]. given #3488 (H,wt=26): 3607 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3562(a,1),30(a,2,1,1)),flip(a)]. given #3489 (H,wt=26): 3644 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2511(a,1),3559(a,1,1,2))]. given #3490 (H,wt=26): 3685 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3684(a,1),2387(a,1,2)),flip(a)]. given #3491 (H,wt=25): 3687 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1404(a,1),3685(a,1,1))]. given #3492 (H,wt=25): 3688 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(198(a,2),3687(a,1,2,1))]. given #3493 (H,wt=25): 3689 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(240,a,2820,a(flip),b,3688,a(flip)),flip(a)]. given #3494 (H,wt=26): 3686 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3562(a,1),3607(a,1,1))]. given #3495 (H,wt=26): 3691 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(240,a,3563,a(flip),b,3686,a(flip)),flip(a)]. given #3496 (H,wt=21): 3692 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3691(a,1,2)),flip(a)]. given #3497 (H,wt=21): 3694 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2767,a,3692,a(flip))]. given #3498 (H,wt=19): 3695 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1469(a,1),3694(a,1,2,1))]. given #3499 (H,wt=21): 3696 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2762(a,1),3694(a,1,2,1)),flip(a)]. given #3500 (H,wt=21): 3697 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(240,a,2913,a(flip),b,3696,a)]. given #3501 (H,wt=27): 3690 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3689(a,1),2780(a,1,2))]. given #3502 (H,wt=23): 3698 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3241(a,1),3690(a,1,2,1))]. given #3503 (H,wt=23): 3699 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(123(a,1),3698(a,2,2,1,1))]. given #3504 (H,wt=27): 3693 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(240,a,3001,a(flip),b,3692,a)]. given #3505 (H,wt=17): 3701 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2942(a,1),3693(a,1,1)),flip(a)]. given #3506 (H,wt=17): 3702 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(90,a,3701,a)]. given #3507 (H,wt=17): 3703 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3701(a,1,1,2,1)),flip(a)]. given #3508 (H,wt=17): 3704 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3702(a,1,1,1)),flip(a)]. given #3509 (H,wt=17): 3707 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3704(a,1),14(a,1,2)),flip(a)]. given #3510 (H,wt=22): 3705 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3703(a,2,1,2))]. given #3511 (H,wt=22): 3706 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2516(a,1),3703(a,2,1,2))]. given #3512 (H,wt=17): 3710 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(240,a,3152,a(flip),b,3706,a(flip))]. given #3513 (H,wt=13): 3713 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3710(a,1,1)),flip(a)]. given #3514 (H,wt=13): 3714 x * (y \ T(y,x)) = (y * x) / y. [hyper(90,a,3713,a),flip(a)]. given #3515 (H,wt=13): 3716 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,122,a(flip),b,3713,a)]. given #3516 (H,wt=13): 3717 x \ ((y * x) / y) = y \ T(y,x). [hyper(81,a,3714,a)]. given #3517 (H,wt=13): 3719 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(73,a,177,a(flip),b,3714,a)]. given #3518 (H,wt=13): 3721 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3224,a,b,3714,a),flip(a)]. given #3519 (H,wt=13): 3723 ((x * y) / x) \ y = T(x,y) \ x. [para(3714(a,1),3348(a,1,1))]. given #3520 (H,wt=13): 3724 (T(x,y) \ x) * ((x * y) / x) = y. [para(3714(a,1),3398(a,1,2))]. given #3521 (H,wt=13): 3725 T(x,T(y,x)) \ x = y \ T(y,x). [para(3716(a,1),3348(a,1,1)),flip(a)]. given #3522 (H,wt=13): 3735 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3725(a,1),3182(a,1,1))]. given #3523 (H,wt=15): 3715 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(75,a,14,a(flip),b,3713,a),flip(a)]. given #3524 (H,wt=15): 3722 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3714(a,1),3290(a,1,1))]. given #3525 (H,wt=15): 3731 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3723(a,1,1,1)),flip(a)]. given #3526 (H,wt=15): 3737 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(123(a,1),3715(a,1,2,2))]. given #3527 (H,wt=15): 3740 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(81,a,3737,a)]. given #3528 (H,wt=16): 3726 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3717(a,1),457(a,1,1))]. given #3529 (H,wt=16): 3727 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3717(a,1),1637(a,1,1)),flip(a)]. given #3530 (H,wt=12): 3743 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(240,a,3241,a(flip),b,3727,a)]. given #3531 (H,wt=14): 3745 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3328(a,1),3743(a,1,2))]. given #3532 (H,wt=13): 3747 T(x,x / (x * y)) = T(x,y \ 1). [hyper(3334,a,3745,a)]. given #3533 (H,wt=15): 3744 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3385,a,3743,a),flip(a)]. given #3534 (H,wt=15): 3748 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2073,a,3747,a)]. given #3535 (H,wt=15): 3750 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(75,a,3747,a(flip),b,2070,a)]. given #3536 (H,wt=15): 3751 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(73,a,3747,a(flip),b,1684,a),flip(a)]. given #3537 (H,wt=16): 3734 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3725(a,1),88(a,1,2)),flip(b)]. given #3538 (H,wt=16): 3739 x \ T(x,y) != z | y \ ((x * y) / x) = z. [para(3722(a,1),1347(a,1))]. given #3539 (H,wt=16): 3742 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(177(a,1),3726(a,2,2)),flip(a)]. given #3540 (H,wt=17): 3718 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(73,a,237,a(flip),b,3714,a),flip(a)]. given #3541 (H,wt=15): 3756 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(124(a,1),3718(a,1,2))]. given #3542 (H,wt=15): 3757 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(240,a,3731,a,b,3756,a(flip)),flip(a)]. given #3543 (H,wt=15): 3758 x / (x / y) = y * (T(y,y \ x) \ y). [para(3757(a,2),14(a,1,2)),flip(a)]. given #3544 (H,wt=17): 3720 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3229,a,b,3714,a),flip(a)]. given #3545 (H,wt=17): 3736 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2989(a,1),3735(a,1,1))]. given #3546 (H,wt=17): 3749 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(401,a,3747,a(flip),b,2070,a)]. given #3547 (H,wt=17): 3753 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(62(a,1),3750(a,2,2,1))]. given #3548 (H,wt=17): 3754 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(65(a,1),3750(a,1,1,2))]. given #3549 (H,wt=17): 3760 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3758(a,2,2,1,2))]. given #3550 (H,wt=17): 3768 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(73,a,3754,a,b,xx)]. given #3551 (H,wt=17): 3769 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(240,a,1040,a(flip),b,3760,a(flip)),flip(a)]. given #3552 (H,wt=18): 3741 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3737(a,1),241(a,1,2)),flip(b)]. given #3553 (H,wt=18): 3746 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3743(a,1),3385(a,1))]. given #3554 (H,wt=18): 3759 x * (T(x,x \ y) \ x) != z | y / (y / x) = z. [para(3757(a,2),224(a,1,2)),flip(b)]. given #3555 (H,wt=18): 3766 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1137(a,2),3736(a,1,1)),flip(a)]. given #3556 (H,wt=19): 3752 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(123(a,2),3744(a,1,2,1))]. given #3557 (H,wt=19): 3761 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(240,a,1107,a,b,3720,a(flip)),flip(a)]. given #3558 (H,wt=19): 3762 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3720(a,1),1811(a,1,1))]. given #3559 (H,wt=19): 3774 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(240,a,3751,a(flip),b,3762,a),flip(a)]. given #3560 (H,wt=20): 3728 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3719(a,2),3247(a,1,1))]. given #3561 (H,wt=20): 3729 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3721(a,1),469(a,1,1,1))]. given #3562 (H,wt=20): 3770 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3760(a,2),19(a,1))]. given #3563 (H,wt=21): 3765 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3720(a,1),2399(a,1,1))]. given #3564 (H,wt=21): 3777 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(240,a,3751,a(flip),b,3765,a)]. given #3565 (H,wt=22): 3773 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3752(a,2),19(a,1))]. given #3566 (H,wt=23): 3709 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(75,a,3705,a(flip),b,203,a)]. given #3567 (H,wt=23): 3711 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(75,a,3706,a(flip),b,2518,a),flip(a)]. given #3568 (H,wt=21): 3778 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(240,a,1234,a(flip),b,3711,a(flip)),flip(a)]. given #3569 (H,wt=23): 3763 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3720(a,1),2017(a,2,2,1))]. given #3570 (H,wt=23): 3779 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3751(a,1),3763(a,1,1))]. given #3571 (H,wt=24): 3755 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3750(a,2),171(a,2,1))]. given #3572 (H,wt=24): 3771 x * ((x / (1 / y)) / x) != z * u | z \ (T(x,y) / (1 / y)) = u. [para(3768(a,1),376(a,1,2))]. given #3573 (H,wt=26): 3730 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3721(a,1),493(a,1,1,1))]. given #3574 (H,wt=26): 3733 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3418,a,3724,a)]. given #3575 (H,wt=22): 3780 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(240,a,3573,a(flip),b,3733,a(flip)),flip(a)]. given #3576 (H,wt=22): 3781 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2736(a,1),3780(a,2,1))]. given #3577 (H,wt=27): 3700 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(589(a,1),3699(a,1,1)),flip(a)]. given #3578 (H,wt=23): 3782 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(65(a,1),3700(a,1,2,1,1,1))]. given #3579 (H,wt=21): 3783 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2746,a,b,3782,a),flip(a)]. given #3580 (H,wt=23): 3784 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(75,a,3361,a(flip),b,3782,a(flip))]. given #3581 (H,wt=23): 3785 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3783(a,1),2787(a,1,2))]. given #3582 (H,wt=27): 3776 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3728(a,1),846(a,1,1))]. given #3583 (H,wt=23): 3787 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3776(a,2,1))]. given #3584 (H,wt=28): 3584 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2718(a,2),3568(a,1))]. given #3585 (H,wt=28): 3775 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3262(a,1),3774(a,1,2,2,1)),flip(a)]. given #3586 (H,wt=28): 3788 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(240,a,3777,a,b,3775,a)]. given #3587 (H,wt=24): 3789 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2916(a,1),3788(a,2,1,2))]. given #3588 (H,wt=29): 3673 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2511(a,1),3578(a,1,1,2))]. given #3589 (H,wt=29): 3712 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3706(a,1),3505(a,1,1)),flip(a)]. given #3590 (H,wt=27): 3790 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3712(a,2,1,1,2))]. given #3591 (H,wt=23): 3791 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),3790(a,2,2))]. given #3592 (H,wt=29): 3772 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3769(a,1),1325(a,2,2,1,2))]. given #3593 (H,wt=25): 3792 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(240,a,1534,a(flip),b,3772,a(flip))]. given #3594 (H,wt=23): 3793 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(122(a,1),3792(a,2,1,2))]. given #3595 (H,wt=30): 3732 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3723(a,1),1348(a,1,2,2,1))]. given #3596 (H,wt=28): 3794 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3723(a,1),3732(a,2,2))]. given #3597 (H,wt=30): 3786 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3785(a,1),3074(a,1,2))]. given #3598 (H,wt=21): 3795 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(449,a,3786,a),flip(a)]. given #3599 (H,wt=17): 3796 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(240,a,3576,a(flip),b,3795,a(flip))]. given #3600 (H,wt=26): 3797 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(240,a,108,a(flip),b,3796,a(flip))]. given #3601 (H,wt=31): 3603 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3561(a,1),2783(a,1))]. given #3602 (H,wt=31): 3651 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2748(a,1),3610(a,1,1))]. given #3603 (H,wt=31): 3738 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3722(a,1),449(a,1,1))]. given #3604 (H,wt=31): 3764 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3720(a,1),2072(a,2,2,1))]. given #3605 (H,wt=31): 3767 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3749(a,1),2565(a,2,1,2))]. given #3606 (H,wt=29): 3799 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2483(a,1),3767(a,1,1,1))]. given #3607 (H,wt=27): 3800 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3613(a,1),3799(a,1,1,1))]. given #3608 (H,wt=25): 3801 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(124(a,1),3800(a,1,1))]. given #3609 (H,wt=31): 3798 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3651(a,2),3603(a,1))]. given #3610 (H,wt=32): 3622 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3567(a,1),28(a,2,1)),flip(a)]. given #3611 (H,wt=32): 3624 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3567(a,1),2733(a,1,1))]. given #3612 (H,wt=32): 3637 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(783,a,3631,a)]. given #3613 (H,wt=32): 3802 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3567(a,1),3622(a,1,2))]. given #3614 (H,wt=24): 3804 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(772,a,3802,a)]. given #3615 (H,wt=15): 3805 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3571,a,3804,a),flip(a)]. given #3616 (H,wt=15): 3809 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2894(a,2),3805(a,1,3))]. given #3617 (H,wt=17): 3807 L(x,y,z / (1 / u)) = L(x,y,z / (u \ 1)). [para(2511(a,1),3805(a,1,3))]. given #3618 (H,wt=17): 3808 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(2512(a,1),3805(a,1,3)),flip(a)]. given #3619 (H,wt=17): 3810 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2771(a,1),3809(a,1,3)),flip(a)]. given #3620 (H,wt=23): 3811 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (y \ 1)). [hyper(240,a,2668,a,b,3808,a(flip)),flip(a)]. given #3621 (H,wt=32): 3803 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(240,a,3563,a(flip),b,3624,a(flip)),flip(a)]. given #3622 (H,wt=33): 3588 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(645(a,1),3587(a,1,1)),flip(a)]. given #3623 (H,wt=29): 3812 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1443(a,1),3588(a,2,2))]. given #3624 (H,wt=25): 3813 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(62(a,1),3812(a,1,1))]. given #3625 (H,wt=34): 3621 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3567(a,1),24(a,2,1)),flip(a)]. given #3626 (H,wt=34): 3814 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3567(a,1),3621(a,1,2,1))]. given #3627 (H,wt=34): 3815 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3562(a,1),3814(a,1,2))]. given #3628 (H,wt=26): 3816 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(774,a,3815,a)]. given #3629 (H,wt=15): 3817 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3571,a,3816,a),flip(a)]. given #3630 (H,wt=13): 3819 a(1 / x,y,z) = a(x \ 1,y,z). [para(1115(a,1),3817(a,1,1)),flip(a)]. given #3631 (H,wt=35): 3623 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3567(a,1),449(a,1,2,2))]. given #3632 (H,wt=36): 3574 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [hyper(240,a,3506,a(flip),b,3552,a(flip))]. given #3633 (H,wt=25): 3820 ((x * (1 / (1 / y))) \ x) \ ((1 / y) * 1) = ((x * y) \ x) \ (y \ 1). [hyper(240,a,2181,a(flip),b,3574,a(flip))]. given #3634 (H,wt=23): 3821 ((x * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). [para(12(a,1),3820(a,1,2))]. given #3635 (H,wt=36): 3708 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3707(a,2),2385(a,1,1))]. given #3636 (H,wt=34): 3822 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3708(a,1),233(a,1))]. given #3637 (H,wt=27): 3823 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3822,a,3764,a)]. given #3638 (H,wt=23): 3824 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3748(a,1),3823(a,1,1)),flip(a)]. given #3639 (H,wt=23): 3825 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2916(a,1),3824(a,1,2,1,2)),flip(a)]. given #3640 (H,wt=19): 3826 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2916(a,1),3825(a,1,1)),flip(a)]. given #3641 (H,wt=19): 3827 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3826(a,1,2,2)),flip(a)]. given #3642 (H,wt=15): 3828 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3827(a,1,2)),flip(a)]. given #3643 (H,wt=10): 3829 L(x,y \ T(y,z),y) = x. [hyper(706,a,3828,a)]. given #3644 (H,wt=12): 3837 L(x,T(y,T(z,y)) \ y,z) = x. [para(3725(a,2),3829(a,1,2))]. given #3645 (H,wt=14): 3838 L(x,T(y,z) \ y,(y * z) / y) = x. [para(176(a,1),3837(a,1,2,1,2))]. given #3646 (H,wt=15): 3831 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(90,a,3828,a)]. given #3647 (H,wt=10): 3840 R(x,x \ T(x,y),z) = x. [hyper(718,a,3831,a)]. given #3648 (H,wt=12): 3841 R(x,x \ (K(y,x) \ x),z) = x. [para(3766(a,1),3840(a,1,2,2))]. given #3649 (H,wt=10): 3842 R(x,K(y,x) \ 1,z) = x. [para(3435(a,1),3841(a,1,2))]. given #3650 (H,wt=15): 3832 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,984,a,b,3828,a)]. given #3651 (H,wt=15): 3833 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,977,a(flip),b,3828,a)]. given #3652 (H,wt=15): 3845 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(90,a,3833,a)]. given #3653 (H,wt=14): 3848 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3257,a,3845,a)]. given #3654 (H,wt=17): 3839 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(73,a,3838,a(flip),b,3794,a),flip(a)]. given #3655 (H,wt=17): 3852 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3839(a,1),14(a,1,2))]. given #3656 (H,wt=13): 3854 (T(x,y) \ x) * (x * y) = y * x. [para(65(a,1),3852(a,1,2)),flip(a)]. given #3657 (H,wt=13): 3855 K(x,y) = T(T(y,x) \ y,y * x). [hyper(182,a,3854,a,b,98,a),flip(a)]. given #3658 (H,wt=13): 3856 (x * y) / (y * x) = T(y,x) \ y. [hyper(90,a,3854,a)]. given #3659 (H,wt=15): 3861 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3856(a,2),3094(a,1,2,1)),flip(a)]. given #3660 (H,wt=17): 3859 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3856(a,1,2)),flip(a)]. given #3661 (H,wt=15): 3862 (x * (y / x)) / y = (x \ y) \ (y / x). [para(124(a,1),3859(a,1,1)),flip(a)]. given #3662 (H,wt=15): 3863 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(240,a,3740,a(flip),b,3862,a)]. given #3663 (H,wt=18): 3846 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3833(a,1),241(a,1,2)),flip(b)]. given #3664 (H,wt=18): 3847 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(3833(a,1),310(a,1))]. given #3665 (H,wt=18): 3858 (T(x,y) \ x) * (x * y) != x * z | T(y,x) = z. [para(3854(a,2),183(a,2)),flip(a)]. given #3666 (H,wt=18): 3860 T(x,y / x) \ x != z | y / (x * (y / x)) = z. [para(3856(a,1),388(a,1))]. given #3667 (H,wt=18): 3865 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3846(a,1,2))]. given #3668 (H,wt=16): 3866 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3735(a,1),3865(a,1))]. given #3669 (H,wt=19): 3849 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3845(a,1),3787(a,1,1)),flip(a)]. given #3670 (H,wt=10): 3867 R(K(x,y),x,z) = K(x,y). [hyper(240,a,3742,a,b,3849,a)]. given #3671 (H,wt=15): 3870 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3867(a,1),118(a,1,1)),flip(a)]. given #3672 (H,wt=8): 3871 L(x,y,K(y,z)) = x. [hyper(438,a,3870,a)]. given #3673 (H,wt=10): 3873 L(x,y,K(y,z)) = 1 * x. [hyper(323,a,3871,a),flip(a)]. given #3674 (H,wt=11): 3877 L(x,y,K(y,z)) != u | u = x. [para(3873(a,2),76(a,1))]. given #3675 (H,wt=18): 3872 (K(x,y) * x) * z != u * (x * z) | K(x,y) = u. [para(3870(a,2),20(a,1))]. given #3676 (H,wt=19): 3851 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(240,a,3350,a(flip),b,3848,a(flip)),flip(a)]. given #3677 (H,wt=19): 3864 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(240,a,3761,a(flip),b,3863,a(flip))]. given #3678 (H,wt=17): 3882 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3864(a,1),3255(a,1,1))]. given #3679 (H,wt=13): 3883 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3246,a,3882,a),flip(a)]. given #3680 (H,wt=13): 3885 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),3883(a,1,2,2)),flip(a)]. given #3681 (H,wt=15): 3886 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3883(a,1),179(a,1,2))]. given #3682 (H,wt=15): 3887 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3883(a,1),209(a,1,2))]. given #3683 (H,wt=17): 3884 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3883(a,1,2,2))]. given #3684 (H,wt=15): 3892 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(396,a,3884,a),flip(a)]. given #3685 (H,wt=15): 3893 x / T(y * x,y \ 1) = (y * x) \ x. [para(3884(a,1),209(a,1,2))]. given #3686 (H,wt=17): 3890 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(65(a,1),3886(a,1,2,2))]. given #3687 (H,wt=17): 3891 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2916(a,1),3887(a,1,2))]. given #3688 (H,wt=18): 3894 T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. [para(3884(a,1),396(a,1))]. given #3689 (H,wt=18): 3896 ((x * y) \ y) \ y != z | T(x * y,x \ 1) = z. [para(3893(a,1),250(a,1,1)),flip(b)]. given #3690 (H,wt=19): 3868 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3849(a,1),346(a,1)),flip(b)]. given #3691 (H,wt=13): 3898 R(K(x,y),x,z) != u | K(x,y) = u. [para(3849(a,2),3868(a,1))]. given #3692 (H,wt=19): 3889 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3883(a,1),3757(a,1,1)),flip(a)]. given #3693 (H,wt=20): 3844 T(x,y) * (x \ 1) != z * u | z \ (x \ T(x,y)) = u. [para(3832(a,1),222(a,1))]. given #3694 (H,wt=20): 3857 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(3854(a,1),183(a,2))]. given #3695 (H,wt=20): 3880 (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. [para(3851(a,1),157(a,1)),flip(b)]. given #3696 (H,wt=20): 3897 T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. [para(2916(a,1),3894(a,1))]. given #3697 (H,wt=21): 3878 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1158,a,3851,a),flip(a)]. given #3698 (H,wt=19): 3899 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3878(a,1),3735(a,1,1)),flip(a)]. given #3699 (H,wt=17): 3900 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(240,a,3736,a(flip),b,3899,a)]. given #3700 (H,wt=23): 3843 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(240,a,3779,a(flip),b,3832,a(flip))]. given #3701 (H,wt=23): 3901 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3832(a,1),3843(a,2,2))]. given #3702 (H,wt=24): 3853 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(240,a,3730,a,b,3852,a(flip)),flip(a)]. given #3703 (H,wt=24): 3881 ((x \ y) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. [para(3851(a,1),1158(a,1))]. given #3704 (H,wt=22): 3902 x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. [para(3718(a,1),3881(a,1))]. given #3705 (H,wt=15): 3903 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(3902,a,3889,a),flip(a)]. given #3706 (H,wt=15): 3905 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(240,a,1119,a,b,3903,a),flip(a)]. given #3707 (H,wt=15): 3906 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(240,a,901,a(flip),b,3903,a)]. given #3708 (H,wt=11): 3912 T(x,y) \ x = y \ T(y,x). [para(2916(a,1),3906(a,1,1))]. given #3709 (H,wt=11): 3914 T(x,y) * (y \ T(y,x)) = x. [para(3912(a,1),14(a,1,2))]. given #3710 (H,wt=9): 3919 T(x,T(y,x)) = T(x,y). [hyper(3734,a,3914,a)]. given #3711 (H,wt=11): 3921 x * (T(x,y) \ y) = T(y,x). [hyper(3866,a,3919,a)]. given #3712 (H,wt=11): 3923 T(x,y) / (T(y,x) \ x) = y. [hyper(75,a,3919,a(flip),b,1009,a)]. given #3713 (H,wt=11): 3924 T(x,y) \ y = x \ T(y,x). [hyper(73,a,3919,a(flip),b,1009,a),flip(a)]. given #3714 (H,wt=11): 3927 x * T(y,T(x,y)) = y * x. [para(3919(a,2),122(a,1,2))]. given #3715 (H,wt=11): 3928 T(x,y / x) = T(x,x \ y). [para(124(a,1),3919(a,1,2)),flip(a)]. given #3716 (H,wt=11): 3929 T(x,(x * y) / x) = T(x,y). [para(176(a,1),3919(a,1,2)),flip(a)]. given #3717 (H,wt=11): 3932 (x * y) / T(y,x) = T(x,y). [para(3919(a,1),210(a,1,2))]. given #3718 (H,wt=11): 3937 T(x,y) \ (x * y) = T(y,x). [hyper(1051,a,3921,a)]. given #3719 (H,wt=11): 3939 T(x,y) * T(y,x) = x * y. [para(3921(a,1),985(a,1,2))]. given #3720 (H,wt=11): 3941 T(x,y) * (x \ T(y,x)) = y. [para(3923(a,1),147(a,1,2,1))]. given #3721 (H,wt=11): 3947 T(x,y / x) = (x \ y) \ y. [hyper(240,a,123,a(flip),b,3928,a)]. given #3722 (H,wt=11): 3953 (x / T(y,x)) * y = T(x,y). [hyper(1262,a,3932,a)]. given #3723 (H,wt=11): 3954 T(x,y) / y = x / T(y,x). [hyper(75,a,3932,a(flip),b,1247,a(flip))]. given #3724 (H,wt=11): 3970 (T(x,y) / y) \ x = T(y,x). [para(3954(a,2),65(a,1,1))]. given #3725 (H,wt=13): 3915 (x * y) / x = y * (T(y,x) \ y). [para(3912(a,2),3714(a,1,2)),flip(a)]. given #3726 (H,wt=11): 3975 T(x * (T(x,y) \ x),y) = x. [para(3915(a,1),176(a,1,1))]. given #3727 (H,wt=11): 3976 T(x / (x / y),y \ x) = y. [para(3758(a,2),3975(a,1,1))]. given #3728 (H,wt=13): 3918 K(x,y) = T(x \ T(x,y),y * x). [para(3912(a,1),3855(a,2,1))]. given #3729 (H,wt=13): 3938 T(x,x \ y) \ y = T(x \ y,x). [hyper(1017,a,3921,a)]. given #3730 (H,wt=13): 3958 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3937(a,1,1)),flip(a)]. given #3731 (H,wt=13): 3965 T(x \ y,x) = ((x \ y) \ y) \ y. [para(62(a,1),3947(a,1,2))]. given #3732 (H,wt=13): 3968 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(240,a,3919,a,b,3953,a)]. given #3733 (H,wt=13): 3978 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),3976(a,1,2))]. given #3734 (H,wt=14): 3920 T(x,y) \ x != z | y \ T(y,x) = z. [para(3914(a,1),241(a,1,2)),flip(b)]. given #3735 (H,wt=14): 3940 x * (T(x,y) \ y) != z | T(y,x) = z. [para(3923(a,1),226(a,1,1)),flip(b)]. given #3736 (H,wt=12): 3987 T(x,T(y,x)) != z | T(x,y) = z. [para(1009(a,1),3940(a,1))]. given #3737 (H,wt=12): 3988 K(x,y) != z | T(K(x,y),x) = z. [para(3039(a,1),3987(a,1))]. given #3738 (H,wt=14): 3948 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(240,a,745,a,b,3928,a(flip)),flip(a)]. given #3739 (H,wt=14): 3959 x * T(y,z) != z * y | T(z,y) = x. [para(3937(a,1),88(a,1,2)),flip(b)]. given #3740 (H,wt=14): 3964 T(x,y) \ y != z | x \ T(y,x) = z. [para(3941(a,1),241(a,1,2)),flip(b)]. given #3741 (H,wt=14): 3967 T(x,y / x) != z | T(x,x \ y) = z. [para(3947(a,2),282(a,1))]. given #3742 (H,wt=14): 3969 T(x,y) != z * y | x / T(y,x) = z. [para(3953(a,1),20(a,1))]. given #3743 (H,wt=14): 3971 (x / T(y,x)) * y != z | T(x,y) = z. [para(3954(a,1),226(a,1,1)),flip(b)]. given #3744 (H,wt=14): 3973 x / T(y,x) != z | T(x,y) / y = z. [para(3970(a,1),298(a,1,2)),flip(b)]. given #3745 (H,wt=15): 3911 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3905(a,2),3182(a,1,1))]. given #3746 (H,wt=15): 3913 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(240,a,3718,a(flip),b,3912,a)]. given #3747 (H,wt=15): 3916 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3912(a,2),3828(a,1,2,1))]. given #3748 (H,wt=15): 3917 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3912(a,2),3832(a,1,1)),flip(a)]. given #3749 (H,wt=15): 3922 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(240,a,3900,a(flip),b,3919,a(flip)),flip(a)]. given #3750 (H,wt=13): 3995 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3987,a,3922,a),flip(a)]. given #3751 (H,wt=13): 3997 T(x,y / (z * y)) = T(x,z \ 1). [para(13(a,1),3995(a,1,2,1))]. given #3752 (H,wt=13): 3998 T(x,(y / z) \ 1) = T(x,z / y). [para(65(a,1),3995(a,1,2,1)),flip(a)]. given #3753 (H,wt=15): 3925 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3919(a,1),40(a,1,1)),flip(a)]. given #3754 (H,wt=15): 3926 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3919(a,1,2))]. given #3755 (H,wt=15): 3946 (x / y) * T(y,y \ x) = y * (x / y). [para(124(a,1),3927(a,1,2,2))]. given #3756 (H,wt=15): 3949 (x * (y / x)) / T(x,x \ y) = y / x. [para(3928(a,1),143(a,1,2))]. given #3757 (H,wt=15): 3950 (x * (y / x)) * x = y * T(x,x \ y). [para(3928(a,1),874(a,2,2))]. given #3758 (H,wt=15): 3972 T(x * (y / x),x) = x * (y / T(x,y)). [para(3954(a,1),1227(a,2,2))]. given #3759 (H,wt=15): 3974 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(240,a,3758,a,b,3915,a)]. given #3760 (H,wt=15): 3979 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3976(a,1),122(a,1,2)),flip(a)]. given #3761 (H,wt=15): 3982 T((x / y) \ x,x / y) = (y \ x) \ x. [para(589(a,1),3938(a,1,1)),flip(a)]. given #3762 (H,wt=15): 3986 (x * (y / x)) / x = y / (y / (y / x)). [para(3978(a,1),177(a,1,1,2))]. given #3763 (H,wt=15): 3991 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),3911(a,1,1,1,2)),flip(a)]. given #3764 (H,wt=15): 3992 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(3860,a,3913,a)]. given #3765 (H,wt=15): 4000 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1060,a,3997,a)]. given #3766 (H,wt=15): 4002 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(73,a,3997,a(flip),b,1059,a)]. given #3767 (H,wt=15): 4008 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(240,a,1288,a,b,3979,a(flip)),flip(a)]. given #3768 (H,wt=15): 4011 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3746,a,3991,a),flip(a)]. given #3769 (H,wt=13): 4019 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3438,a,4011,a)]. given #3770 (H,wt=13): 4020 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4019(a,1,1,1)),flip(a)]. given #3771 (H,wt=11): 4021 K(T(x,y),y) \ 1 = K(y,x). [para(177(a,1),4020(a,1,2)),flip(a)]. given #3772 (H,wt=8): 4025 R(x,K(x,y),z) = x. [para(4021(a,1),3842(a,1,2))]. given #3773 (H,wt=11): 4023 K(T(x,y),y) * K(y,x) = 1. [para(4021(a,1),14(a,1,2))]. given #3774 (H,wt=11): 4024 K(T(x,y),y) = K(y,x) \ 1. [para(4021(a,1),2280(a,1,1)),flip(a)]. given #3775 (H,wt=12): 4026 R(T(x,y),K(x,z),u) = T(x,y). [para(4025(a,1),42(a,2,1))]. given #3776 (H,wt=13): 4030 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(240,a,4021,a(flip),b,4024,a)]. given #3777 (H,wt=11): 4032 K(T(x,y),T(y,x)) = K(x,y). [para(3919(a,1),4030(a,1,1))]. given #3778 (H,wt=14): 4029 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4023(a,1),241(a,1,2)),flip(b)]. given #3779 (H,wt=14): 4035 K(x,y) \ 1 != z | K(T(y,x),x) = z. [para(4030(a,1),4029(a,1,1))]. given #3780 (H,wt=15): 4016 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(73,a,4002,a,b,xx)]. given #3781 (H,wt=15): 4018 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4008(a,1),16(a,1,1))]. given #3782 (H,wt=16): 3989 K((x \ 1) \ 1,y) != z | T(K(x,y),x) = z. [para(3022(a,2),3988(a,1))]. given #3783 (H,wt=16): 3990 T(K(x,y),T(x,z)) != u | T(K(x,y),x) = u. [para(3039(a,2),3988(a,1))]. given #3784 (H,wt=16): 3996 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(3922(a,1),3987(a,1))]. given #3785 (H,wt=16): 4033 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(124(a,1),4029(a,1,1,1))]. given #3786 (H,wt=16): 4034 K(x,y) \ 1 != z | K(y,(y * x) / y) = z. [para(176(a,1),4029(a,1,1,1))]. given #3787 (H,wt=16): 4039 T(x,y / (z * y)) != u | T(x,z \ 1) = u. [para(13(a,1),3996(a,1,2,1))]. given #3788 (H,wt=16): 4040 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(65(a,1),3996(a,1,2,1))]. given #3789 (H,wt=17): 3931 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3919(a,1),191(a,1,2,1))]. given #3790 (H,wt=13): 4042 (x * y) / T(T(x,y),y) = T(y,x). [hyper(75,a,3939,a(flip),b,3931,a)]. given #3791 (H,wt=16): 4043 T(x,y) \ (y * x) != z | T(T(y,x),x) = z. [para(4042(a,1),250(a,1,1)),flip(b)]. given #3792 (H,wt=17): 3993 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1052,a,b,3916,a)]. given #3793 (H,wt=17): 3994 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(240,a,3852,a,b,3917,a),flip(a)]. given #3794 (H,wt=17): 4007 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(401,a,271,a(flip),b,3950,a)]. given #3795 (H,wt=17): 4013 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(73,a,2916,a(flip),b,4000,a)]. given #3796 (H,wt=17): 4017 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),4002(a,2,2,1))]. given #3797 (H,wt=15): 4049 (x / y) \ T(x,x \ y) = x * (y / x). [para(3885(a,1),4017(a,1,2))]. given #3798 (H,wt=17): 4041 T(x,R(y \ 1,y,z)) != u | T(x,y \ 1) = u. [para(3327(a,2),4039(a,1))]. given #3799 (H,wt=17): 4046 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(240,a,3972,a(flip),b,4007,a(flip))]. given #3800 (H,wt=17): 4050 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4049(a,2,2))]. given #3801 (H,wt=15): 4052 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4050(a,1,2,2))]. given #3802 (H,wt=13): 4053 (x / (y * x)) \ T(x,y) = x * y. [para(3919(a,1),4052(a,1,2))]. given #3803 (H,wt=13): 4054 T(x,y) / (x * y) = x / (y * x). [para(4053(a,1),62(a,1,2))]. given #3804 (H,wt=15): 4055 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),4054(a,1,2))]. given #3805 (H,wt=18): 3904 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3889(a,1),3902(a,1))]. given #3806 (H,wt=18): 3910 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(3903(a,2),1121(a,1))]. given #3807 (H,wt=18): 3942 x * (T(x,y) \ y) != z * u | T(y,x) / u = z. [para(3923(a,1),381(a,1,1))]. given #3808 (H,wt=16): 4058 T(x,T(y,x)) != z * u | T(x,y) / u = z. [para(1009(a,1),3942(a,1))]. given #3809 (H,wt=18): 3951 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3928(a,1),879(a,1,2,2))]. given #3810 (H,wt=18): 3956 T(x,y) * T(y,x) != z * u | (x * y) / u = z. [para(3932(a,1),381(a,1,1))]. given #3811 (H,wt=18): 4057 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(3905(a,2),3904(a,1))]. given #3812 (H,wt=19): 3933 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3919(a,1),192(a,1,2,1))]. given #3813 (H,wt=18): 4060 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(590(a,1),3933(a,1,2))]. given #3814 (H,wt=19): 3934 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3919(a,1),193(a,1,2,1))]. given #3815 (H,wt=19): 3943 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3924(a,2),99(a,1,2,1))]. given #3816 (H,wt=19): 3981 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(240,a,3774,a,b,3918,a),flip(a)]. given #3817 (H,wt=19): 4003 (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). [para(3997(a,1),122(a,1,2))]. given #3818 (H,wt=19): 4006 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(3926(a,1),38(a,1,1)),flip(a)]. given #3819 (H,wt=19): 4048 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(240,a,904,a(flip),b,4017,a(flip)),flip(a)]. given #3820 (H,wt=20): 3935 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3919(a,1),382(a,1,2,1))]. given #3821 (H,wt=20): 3955 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),3932(a,1,2))]. given #3822 (H,wt=20): 4010 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3986(a,1),821(a,1,1))]. given #3823 (H,wt=20): 4045 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(3994(a,1),19(a,1))]. given #3824 (H,wt=20): 4059 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(1122(a,1),4057(a,1))]. given #3825 (H,wt=20): 4062 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3948(a,1),3934(a,1,2)),flip(a)]. given #3826 (H,wt=20): 4065 x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(3239(a,1),4059(a,1))]. given #3827 (H,wt=21): 4015 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [hyper(240,a,977,a(flip),b,4000,a(flip)),flip(a)]. given #3828 (H,wt=17): 4066 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1816(a,1),4015(a,1,2))]. given #3829 (H,wt=15): 4067 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2914(a,1),4066(a,1,2)),flip(a)]. given #3830 (H,wt=13): 4068 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(240,a,2485,a(flip),b,4067,a)]. given #3831 (H,wt=17): 4070 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(4068(a,1),999(a,1,2))]. given #3832 (H,wt=17): 4071 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(4070(a,1),16(a,1,1))]. given #3833 (H,wt=20): 4073 T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. [para(4071(a,1),662(a,1))]. given #3834 (H,wt=21): 4027 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4025(a,1),478(a,1,1,1)),flip(a)]. given #3835 (H,wt=11): 4074 L(x,K(y,z),L(y,u,w)) = x. [hyper(438,a,4027,a)]. given #3836 (H,wt=21): 4038 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4016(a,1),3801(a,2,1))]. given #3837 (H,wt=17): 4076 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(240,a,16,a(flip),b,4038,a)]. given #3838 (H,wt=15): 4081 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(240,a,3813,a,b,4076,a(flip)),flip(a)]. given #3839 (H,wt=17): 4077 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2568,a(flip),b,4038,a),flip(a)]. given #3840 (H,wt=17): 4080 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(18,a,3298,a,b,4076,a)]. given #3841 (H,wt=17): 4083 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(589(a,1),4081(a,1,2,2,2))]. given #3842 (H,wt=17): 4085 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(240,a,397,a,b,4077,a)]. given #3843 (H,wt=19): 4082 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4076(a,1),2510(a,1,1)),flip(a)]. given #3844 (H,wt=19): 4084 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(283(a,1),4081(a,1,2,2,2))]. given #3845 (H,wt=17): 4087 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(240,a,3614,a(flip),b,4084,a(flip)),flip(a)]. given #3846 (H,wt=17): 4088 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2959,a,4087,a)]. given #3847 (H,wt=20): 4078 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(4038(a,2),226(a,1)),flip(b)]. given #3848 (H,wt=21): 4075 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3031(a,1),4027(a,1,1))]. given #3849 (H,wt=21): 4086 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(4085(a,1),3539(a,1,1)),flip(a)]. given #3850 (H,wt=21): 4089 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4088(a,1),3539(a,1,1)),flip(a)]. given #3851 (H,wt=17): 4091 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(240,a,2743,a(flip),b,4089,a(flip)),flip(a)]. given #3852 (H,wt=17): 4092 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4091(a,1),3791(a,1,1))]. given #3853 (H,wt=20): 4093 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4092(a,1),19(a,1))]. given #3854 (H,wt=22): 3963 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3939(a,1),118(a,1,2))]. given #3855 (H,wt=22): 4005 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3998(a,1),3789(a,1,1,2))]. given #3856 (H,wt=18): 4094 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4005(a,1,1,2,2))]. given #3857 (H,wt=14): 4095 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(240,a,3297,a(flip),b,4094,a(flip))]. given #3858 (H,wt=15): 4098 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4095(a,1),3853(a,1,1))]. given #3859 (H,wt=15): 4099 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3865,a,4098,a),flip(a)]. given #3860 (H,wt=13): 4105 T(x,y) \ ((x * y) / x) = x \ y. [hyper(73,a,3724,a(flip),b,4099,a(flip)),flip(a)]. given #3861 (H,wt=11): 4108 T(x / y,T(y,x)) = y \ x. [hyper(1269,a,4105,a)]. given #3862 (H,wt=13): 4109 T(x,y) * (x \ y) = (x * y) / x. [para(4105(a,1),14(a,1,2))]. given #3863 (H,wt=11): 4116 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1369,a,b,4109,a),flip(a)]. given #3864 (H,wt=11): 4124 T(x,x / y) = T(x,y \ x). [para(62(a,1),4116(a,1,2,2))]. given #3865 (H,wt=11): 4125 T(x,(y \ x) \ x) = T(x,y). [para(144(a,1),4116(a,1,2)),flip(a)]. given #3866 (H,wt=11): 4129 T(x,T(y,y \ x)) = T(x,y). [para(123(a,2),4125(a,1,2))]. given #3867 (H,wt=11): 4130 T(x,T(y,x / y)) = T(x,y). [para(3947(a,2),4125(a,1,2))]. given #3868 (H,wt=13): 4112 T(x,T(y,x * y)) = y \ (x * y). [para(15(a,1),4108(a,1,1))]. given #3869 (H,wt=11): 4133 T(x,T(y,x * y)) = T(x,y). [hyper(240,a,32,a,b,4112,a)]. given #3870 (H,wt=13): 4113 T(x,T(x \ y,y)) = (x \ y) \ y. [para(62(a,1),4108(a,1,1))]. given #3871 (H,wt=13): 4114 T(x \ y,T(x,y)) = T(x \ y,x). [para(4108(a,1),194(a,1,1)),flip(a)]. given #3872 (H,wt=13): 4120 T(x,y) * y = x * ((x * y) / x). [para(4109(a,1),984(a,1,2)),flip(a)]. given #3873 (H,wt=13): 4121 T(x,y) = (x / y) * ((x * y) / x). [hyper(240,a,1038,a,b,4116,a(flip))]. given #3874 (H,wt=13): 4122 T(x,x / (1 / y)) = T(x,x * y). [hyper(240,a,1375,a(flip),b,4116,a(flip)),flip(a)]. given #3875 (H,wt=13): 4123 (x / y) \ T(x,y) = (x * y) / x. [hyper(73,a,4116,a(flip),b,1038,a)]. given #3876 (H,wt=13): 4128 T(T(x,y \ x) / y,x) = x / y. [para(4124(a,1),1035(a,1,1,1))]. given #3877 (H,wt=13): 4131 T(x * y,T(y,x)) = T(x * y,y). [para(3958(a,2),4125(a,1,2))]. given #3878 (H,wt=13): 4132 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),4129(a,1,2,2))]. given #3879 (H,wt=13): 4134 T(x,T(x \ y,y)) = T(x,x \ y). [para(14(a,1),4133(a,1,2,2))]. given #3880 (H,wt=13): 4140 T(x / y,(x * y) / x) = y \ x. [hyper(182,a,4121,a(flip),b,1025,a(flip))]. given #3881 (H,wt=15): 4100 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3846,a,4098,a),flip(a)]. given #3882 (H,wt=15): 4117 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(73,a,4109,a(flip),b,3994,a),flip(a)]. given #3883 (H,wt=15): 4126 T(T(x,y) / (x / y),x) = x / (x / y). [para(4116(a,1),1035(a,1,1,1))]. given #3884 (H,wt=15): 4127 x \ T(y,x \ y) = (y * (x \ y)) / y. [hyper(73,a,4124,a(flip),b,1037,a)]. given #3885 (H,wt=15): 4138 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),4120(a,2,2,1))]. given #3886 (H,wt=15): 4144 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(73,a,14,a(flip),b,4100,a)]. given #3887 (H,wt=15): 4145 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(240,a,3917,a,b,4100,a(flip)),flip(a)]. given #3888 (H,wt=15): 4148 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4100(a,1),3916(a,1,2)),flip(a)]. given #3889 (H,wt=15): 4149 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(3847,a,4138,a)]. given #3890 (H,wt=15): 4154 T(x,x \ y) * y = x * (x * (y / x)). [para(4138(a,1),984(a,1,2)),flip(a)]. given #3891 (H,wt=16): 4142 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4122(a,1),1359(a,1,1))]. given #3892 (H,wt=12): 4158 R(T(x,x * y),y,x) = T(x,y). [hyper(240,a,3953,a(flip),b,4142,a)]. given #3893 (H,wt=14): 4157 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(240,a,3968,a(flip),b,4142,a)]. given #3894 (H,wt=14): 4160 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4158(a,1,1,2))]. given #3895 (H,wt=14): 4165 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(240,a,123,a(flip),b,4160,a)]. given #3896 (H,wt=15): 4159 R(T(x,x * y),y,x) != z | T(x,y) = z. [para(4142(a,2),3971(a,1))]. given #3897 (H,wt=16): 4161 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4158(a,1),193(a,1,2)),flip(a)]. given #3898 (H,wt=11): 4168 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,470,a,b,4161,a),flip(a)]. given #3899 (H,wt=9): 4170 L(R(x,y,x),y,x) = x. [para(4168(a,1),1047(a,1,1))]. given #3900 (H,wt=12): 4169 x \ T(y * x,y) = R(y,x,y). [hyper(1046,a,4168,a)]. given #3901 (H,wt=12): 4171 x * R(y,x,y) = T(y * x,y). [para(4168(a,1),1045(a,1,2))]. given #3902 (H,wt=14): 4172 (L(x,y,x) * y) * x = x * (y * x). [para(4170(a,1),478(a,1,1)),flip(a)]. given #3903 (H,wt=12): 4180 T(L(x,y,x) * y,x) = y * x. [hyper(182,a,4172,a,b,xx)]. given #3904 (H,wt=14): 4173 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4169(a,1,2,1)),flip(a)]. given #3905 (H,wt=14): 4181 (x * (y * x)) / x = L(x,y,x) * y. [hyper(90,a,4172,a)]. given #3906 (H,wt=12): 4186 T((x * y) / x,L(x,y,x)) = y. [hyper(1625,a,4181,a)]. given #3907 (H,wt=10): 4189 T(x,L(y,x,y)) = T(x,y). [para(4186(a,1),212(a,1,1)),flip(a)]. given #3908 (H,wt=14): 4182 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1250,a,b,4172,a),flip(a)]. given #3909 (H,wt=11): 4192 T(x,y * x) = T(x,x * y). [hyper(17,a,593,a,b,4182,a)]. given #3910 (H,wt=11): 4193 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,595,a(flip),b,4182,a)]. given #3911 (H,wt=11): 4195 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4192(a,1,2)),flip(a)]. given #3912 (H,wt=11): 4197 T(x,T(y,y * x)) = T(x,y). [para(4192(a,1),4133(a,1,2))]. given #3913 (H,wt=14): 4185 T(x,L(x,y,x) * y) = T(x,y * x). [para(4180(a,1),3919(a,1,2)),flip(a)]. given #3914 (H,wt=14): 4187 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(73,a,4181,a,b,xx)]. given #3915 (H,wt=14): 4191 T((x * y) / x,x * y) = L(y,x,y). [hyper(418,a,4182,a)]. given #3916 (H,wt=15): 4174 x * R(y,x,y) != z | T(y * x,y) = z. [para(4169(a,1),224(a,1,2)),flip(b)]. given #3917 (H,wt=15): 4177 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4171(a,1),241(a,1,2)),flip(b)]. given #3918 (H,wt=15): 4184 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(595(a,1),4180(a,1,1))]. given #3919 (H,wt=15): 4196 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4192(a,1),38(a,1,1))]. given #3920 (H,wt=15): 4198 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4193(a,1),38(a,1,1)),flip(a)]. given #3921 (H,wt=15): 4204 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(421,a,4196,a),flip(a)]. given #3922 (H,wt=17): 4097 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4095(a,1),3729(a,1,1))]. given #3923 (H,wt=15): 4207 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(67(a,1),4097(a,1,2))]. given #3924 (H,wt=15): 4209 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(123(a,1),4207(a,1,1,2))]. given #3925 (H,wt=15): 4210 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4209(a,1),62(a,1,2))]. given #3926 (H,wt=15): 4211 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(240,a,3863,a,b,4210,a),flip(a)]. given #3927 (H,wt=17): 4104 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(240,a,3993,a(flip),b,4099,a(flip)),flip(a)]. given #3928 (H,wt=17): 4106 x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. [hyper(73,a,4099,a(flip),b,3852,a)]. given #3929 (H,wt=17): 4135 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4114(a,1),122(a,1,2))]. given #3930 (H,wt=17): 4139 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),4120(a,2,2,1))]. given #3931 (H,wt=15): 4215 (x / y) * (x / (x / y)) = (y \ x) * y. [para(124(a,1),4139(a,1,1)),flip(a)]. given #3932 (H,wt=17): 4143 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),4123(a,1,1)),flip(a)]. given #3933 (H,wt=13): 4216 T(x \ T(x * y,y),x * y) = y. [para(4143(a,1),176(a,1,1))]. given #3934 (H,wt=14): 4217 T(x \ T(x * y,y),x) = R(y,x,y). [para(4143(a,1),728(a,2,1)),flip(a)]. given #3935 (H,wt=16): 4220 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4217(a,1),122(a,1,2)),flip(a)]. given #3936 (H,wt=17): 4146 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(73,a,4100,a(flip),b,3852,a),flip(a)]. given #3937 (H,wt=17): 4164 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4157(a,1),968(a,1,2)),flip(a)]. given #3938 (H,wt=17): 4203 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(595(a,1),4185(a,1,2))]. given #3939 (H,wt=13): 4223 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(240,a,4193,a(flip),b,4203,a)]. given #3940 (H,wt=16): 4224 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4223(a,1),1272(a,1,1))]. given #3941 (H,wt=17): 4222 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,413,a,b,4164,a),flip(a)]. given #3942 (H,wt=18): 4096 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(4094(a,2),346(a,1)),flip(b)]. given #3943 (H,wt=16): 4226 T(x \ T(x,y),y) != z | x \ T(x,y) = z. [para(121(a,1),4096(a,1,2))]. given #3944 (H,wt=18): 4101 (T(x,y) \ x) * (T(x,y) * z) != u | x * z = u. [para(4098(a,1),3846(a,1))]. given #3945 (H,wt=18): 4102 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4098(a,1),3865(a,1))]. given #3946 (H,wt=18): 4151 T(x,x \ y) * z != x * (y / x) | x \ y = z. [para(4138(a,1),19(a,1)),flip(a)]. given #3947 (H,wt=18): 4152 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(4138(a,2),19(a,1))]. given #3948 (H,wt=18): 4155 T(x,x \ y) * z != x * (x * (y / x)) | z = y. [para(4154(a,1),19(a,2))]. given #3949 (H,wt=18): 4156 T(x,x \ y) * y != x * z | x * (y / x) = z. [para(4154(a,2),19(a,1))]. given #3950 (H,wt=18): 4163 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4157(a,1),193(a,1,2))]. given #3951 (H,wt=18): 4167 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4165(a,1),42(a,2,1))]. given #3952 (H,wt=18): 4178 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4171(a,1),1738(a,1,1))]. given #3953 (H,wt=18): 4190 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4189(a,1),231(a,1,2))]. given #3954 (H,wt=16): 4229 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(4190,a,4060,a(flip)),flip(a)]. given #3955 (H,wt=16): 4231 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4192(a,2),4229(a,1,2))]. given #3956 (H,wt=18): 4205 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4204(a,2),421(a,1))]. given #3957 (H,wt=18): 4206 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3738,a,4097,a)]. given #3958 (H,wt=19): 4115 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4108(a,1),1793(a,1,1)),flip(a)]. given #3959 (H,wt=19): 4175 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4169(a,1),108(a,1,1)),flip(a)]. given #3960 (H,wt=12): 4233 L(R(x,y,x),y,x) != z | z = x. [para(4175(a,1),255(a,1))]. given #3961 (H,wt=19): 4183 x * (y * x) != x * z | T(L(x,y,x) * y,x) = z. [para(4172(a,1),183(a,2)),flip(a)]. given #3962 (H,wt=19): 4199 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4193(a,1),3953(a,1,1,2))]. given #3963 (H,wt=15): 4234 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1221,a(flip),b,4199,a)]. given #3964 (H,wt=15): 4235 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4234(a,1),16(a,1,1))]. given #3965 (H,wt=18): 4236 (x \ T(y,x)) * T(x,y) != z * x | x \ y = z. [para(4235(a,2),20(a,1))]. given #3966 (H,wt=19): 4200 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4195(a,1),3941(a,1,1))]. given #3967 (H,wt=15): 4237 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1229(a,1),4200(a,1,2))]. given #3968 (H,wt=15): 4238 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3954(a,1),4237(a,1,2))]. given #3969 (H,wt=19): 4230 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4229(a,2),19(a,1))]. given #3970 (H,wt=20): 4110 T(x,y) * (x \ y) != z * u | z \ ((x * y) / x) = u. [para(4105(a,1),376(a,1,2))]. given #3971 (H,wt=20): 4136 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(4114(a,1),231(a,1,2))]. given #3972 (H,wt=20): 4137 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(4114(a,2),703(a,1,2,2))]. given #3973 (H,wt=13): 4239 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(4137,a,4115,a),flip(a)]. given #3974 (H,wt=15): 4240 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(240,a,648,a(flip),b,4239,a(flip))]. given #3975 (H,wt=11): 4241 K(x,T(y,y * x)) = K(x,y). [hyper(240,a,648,a(flip),b,4240,a(flip))]. given #3976 (H,wt=11): 4243 K(x,T(y,x * y)) = K(x,y). [para(4192(a,2),4241(a,1,2))]. given #3977 (H,wt=13): 4244 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),4243(a,1,2,2))]. given #3978 (H,wt=20): 4162 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4158(a,1),3934(a,1,2)),flip(a)]. given #3979 (H,wt=19): 4245 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(240,a,4178,a(flip),b,4162,a)]. given #3980 (H,wt=20): 4166 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4160(a,1),3934(a,1,2)),flip(a)]. given #3981 (H,wt=13): 4247 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4062,a,b,4166,a),flip(a)]. given #3982 (H,wt=13): 4249 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4247(a,2,2))]. given #3983 (H,wt=11): 4250 R(x,T(y,x),x) = R(x,y,x). [para(177(a,1),4249(a,1,2)),flip(a)]. given #3984 (H,wt=20): 4218 ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. [para(4216(a,1),301(a,1,1,2)),flip(b)]. given #3985 (H,wt=20): 4219 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(240,a,3938,a,b,4217,a(flip)),flip(a)]. given #3986 (H,wt=20): 4232 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(177(a,1),4206(a,1,3)),flip(a)]. given #3987 (H,wt=19): 4251 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(565,a,4232,a)]. given #3988 (H,wt=21): 4150 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(73,a,4002,a,b,4138,a)]. given #3989 (H,wt=19): 4252 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3883(a,1),4150(a,1,1))]. given #3990 (H,wt=21): 4212 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(935,a,4104,a),flip(a)]. given #3991 (H,wt=21): 4214 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4106(a,1),3793(a,1,2,1))]. given #3992 (H,wt=21): 4228 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4178(a,2),19(a,1))]. given #3993 (H,wt=22): 4036 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(4016(a,1),295(a,1,2))]. given #3994 (H,wt=22): 4037 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(4016(a,1),376(a,1,2))]. given #3995 (H,wt=22): 4107 (T(x,y) \ x) * z != u * w | u \ (x * (T(x,y) \ z)) = w. [para(4099(a,2),517(a,1))]. given #3996 (H,wt=22): 4141 ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. [para(4121(a,2),183(a,2))]. given #3997 (H,wt=22): 4147 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4100(a,2),517(a,1))]. given #3998 (H,wt=22): 4213 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4104(a,1),1206(a,1))]. given #3999 (H,wt=22): 4221 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4220(a,1),100(a,1,1))]. given #4000 (H,wt=22): 4227 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4198(a,2),4167(a,1,1))]. given #4001 (H,wt=23): 3952 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3928(a,2),3768(a,1,2,1))]. given #4002 (H,wt=23): 3957 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3932(a,1),1265(a,1,1)),flip(a)]. given #4003 (H,wt=23): 4014 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(17,a,863,a,b,4000,a)]. given #4004 (H,wt=19): 4256 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(13(a,1),4014(a,1,2,1)),flip(a)]. given #4005 (H,wt=19): 4257 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(240,a,2992,a(flip),b,4256,a(flip))]. given #4006 (H,wt=18): 4258 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(169(a,2),4257(a,1,2))]. given #4007 (H,wt=23): 4090 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4086(a,1),2765(a,1,2))]. given #4008 (H,wt=23): 4118 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),4109(a,1,2))]. given #4009 (H,wt=23): 4194 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(240,a,42,a,b,4192,a(flip)),flip(a)]. given #4010 (H,wt=23): 4248 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,y \ x,y) = z. [para(4166(a,1),20(a,1))]. given #4011 (H,wt=23): 4254 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4227(a,1),607(a,1,2))]. given #4012 (H,wt=23): 4260 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(123(a,1),4090(a,1,2,1,2))]. given #4013 (H,wt=23): 4262 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(123(a,2),4254(a,1,2,1))]. given #4014 (H,wt=24): 3960 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(3939(a,1),24(a,2,1,2)),flip(a)]. given #4015 (H,wt=24): 3961 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3939(a,1),24(a,2,2,1)),flip(a)]. given #4016 (H,wt=20): 4265 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4148(a,1),3961(a,1,1))]. given #4017 (H,wt=13): 4266 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(669,a,4265,a),flip(a)]. given #4018 (H,wt=16): 4267 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4265(a,1),669(a,1))]. given #4019 (H,wt=24): 3980 (x \ y) * R(x,z,u) != w | R(y / (y / x),z,u) * (x \ y) = w. [para(3976(a,1),384(a,1,2,1))]. given #4020 (H,wt=24): 3983 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3965(a,1),714(a,1,1))]. given #4021 (H,wt=24): 4188 L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). [para(4181(a,2),108(a,2,1))]. given #4022 (H,wt=24): 4255 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3957(a,2),3935(a,1))]. given #4023 (H,wt=25): 4031 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4026(a,1),479(a,1,1,1)),flip(a)]. given #4024 (H,wt=25): 4225 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4143(a,1),4222(a,1,1))]. given #4025 (H,wt=15): 4268 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(240,a,4170,a(flip),b,4225,a)]. given #4026 (H,wt=13): 4270 T(x,x \ T(x * y,y)) = T(x,y). [para(4268(a,1),4134(a,1,2)),flip(a)]. given #4027 (H,wt=13): 4271 K(x,x \ T(x * y,y)) = K(x,y). [para(4268(a,1),4244(a,1,2)),flip(a)]. given #4028 (H,wt=14): 4272 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4270(a,1),4219(a,1,1))]. given #4029 (H,wt=16): 4273 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(240,a,4221,a,b,4271,a(flip))]. given #4030 (H,wt=15): 4275 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4171(a,1),4273(a,2,1))]. given #4031 (H,wt=13): 4276 K(x \ T(x * y,x),x) = K(y,x). [hyper(240,a,1232,a(flip),b,4275,a),flip(a)]. given #4032 (H,wt=13): 4277 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4276(a,1,1,2,1))]. given #4033 (H,wt=15): 4279 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(176(a,1),4277(a,1,1,2)),flip(a)]. given #4034 (H,wt=15): 4280 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4117(a,2),4279(a,1,1))]. given #4035 (H,wt=16): 4274 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4272(a,1,1))]. given #4036 (H,wt=17): 4278 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(240,a,3943,a,b,4277,a(flip)),flip(a)]. given #4037 (H,wt=17): 4281 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4280(a,1),4214(a,1,2)),flip(a)]. given #4038 (H,wt=9): 4283 T(x,(y \ x) * y) = x. [hyper(18,a,4118,a,b,4281,a(flip)),flip(a)]. given #4039 (H,wt=13): 4284 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4283,a)]. given #4040 (H,wt=13): 4285 T(x * (y / x),y) = x * (y / x). [para(66(a,1),4283(a,1,2))]. given #4041 (H,wt=17): 4282 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4278(a,1),14(a,1,2))]. given #4042 (H,wt=17): 4286 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4285(a,2),4211(a,1,1))]. given #4043 (H,wt=25): 4259 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(75,a,4258,a(flip),b,792,a),flip(a)]. given #4044 (H,wt=21): 4288 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(240,a,3722,a(flip),b,4259,a(flip)),flip(a)]. given #4045 (H,wt=18): 4289 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(240,a,2135,a(flip),b,4288,a(flip)),flip(a)]. given #4046 (H,wt=22): 4290 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),4289(a,1,1,1)),flip(a)]. given #4047 (H,wt=18): 4291 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),4290(a,1,1,1)),flip(a)]. given #4048 (H,wt=19): 4292 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(240,a,3781,a(flip),b,4291,a(flip)),flip(a)]. given #4049 (H,wt=21): 4293 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4292(a,1),3094(a,1,2,1))]. given #4050 (H,wt=13): 4294 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(240,a,3861,a,b,4293,a(flip))]. given #4051 (H,wt=15): 4295 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2132(a,1),4294(a,1,2))]. given #4052 (H,wt=13): 4296 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3987,a,4295,a)]. given #4053 (H,wt=13): 4297 T(x,(1 / x) * y) = T(x,x \ y). [hyper(240,a,2736,a,b,4296,a(flip)),flip(a)]. given #4054 (H,wt=13): 4299 x / T(y,(1 / y) * x) = y \ x. [para(4297(a,2),209(a,1,2))]. given #4055 (H,wt=15): 4300 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(62(a,1),4299(a,1,2,2,1))]. given #4056 (H,wt=17): 4298 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4296(a,1),3981(a,1,2,2,1))]. given #4057 (H,wt=17): 4301 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4298(a,1),14(a,1,2)),flip(a)]. given #4058 (H,wt=13): 4302 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3773,a,4301,a)]. given #4059 (H,wt=25): 4264 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4262(a,1,1,1))]. given #4060 (H,wt=21): 4303 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4264(a,1,2,1,2)),flip(a)]. given #4061 (H,wt=17): 4304 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4303(a,1,1,2)),flip(a)]. given #4062 (H,wt=17): 4305 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [hyper(240,a,125,a,b,4304,a(flip)),flip(a)]. given #4063 (H,wt=16): 4306 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(872,a,4305,a)]. given #4064 (H,wt=25): 4287 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4257(a,1),4286(a,1,1,1)),flip(a)]. given #4065 (H,wt=26): 3944 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3924(a,1),95(a,1,1,2,1))]. given #4066 (H,wt=26): 4176 (x \ 1) * R(x * y,x \ 1,x * y) = (x * T(y,x * y)) * (x \ 1). [hyper(240,a,929,a(flip),b,4171,a)]. given #4067 (H,wt=25): 4307 (x \ 1) * R(x * y,x \ 1,x * y) = (L(y,x,y) * x) * (x \ 1). [para(4182(a,1),4176(a,2,1))]. given #4068 (H,wt=24): 4308 (x \ 1) * R(x * y,x \ 1,x * y) = R(L(y,x,y),x,x \ 1). [hyper(240,a,203,a(flip),b,4307,a)]. given #4069 (H,wt=24): 4309 (x \ 1) * R(x * y,x \ 1,x * y) = L(R(y,x,x \ 1),x,y). [hyper(240,a,44,a(flip),b,4308,a)]. given #4070 (H,wt=21): 4310 T((x * y) * (x \ 1),x * y) = L(R(y,x,x \ 1),x,y). [hyper(4174,a,4309,a)]. given #4071 (H,wt=26): 4201 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4197(a,1),383(a,1,2,1))]. given #4072 (H,wt=26): 4202 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4197(a,1),384(a,1,2,1))]. given #4073 (H,wt=26): 4246 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4245(a,1),4175(a,1,2))]. given #4074 (H,wt=26): 4261 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(4118(a,1),20(a,1))]. given #4075 (H,wt=26): 4263 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4260(a,1),199(a,1,2)),flip(a)]. given #4076 (H,wt=27): 3945 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3924(a,1),1823(a,1,2,1))]. given #4077 (H,wt=27): 4119 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4109(a,1),449(a,1,1))]. given #4078 (H,wt=18): 4311 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4119,a,4146,a),flip(a)]. given #4079 (H,wt=15): 4312 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(708,a,4311,a),flip(a)]. given #4080 (H,wt=28): 4044 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(40(a,2),4043(a,1,1))]. given #4081 (H,wt=28): 4153 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4138(a,1),28(a,2,1)),flip(a)]. given #4082 (H,wt=29): 3909 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(3903(a,2),449(a,1,1))]. given #4083 (H,wt=26): 4313 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(3909,a,4144,a),flip(a)]. given #4084 (H,wt=26): 4315 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(240,a,3901,a(flip),b,4313,a(flip)),flip(a)]. given #4085 (H,wt=16): 4316 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4145(a,1),4315(a,1,2)),flip(a)]. given #4086 (H,wt=15): 4317 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(240,a,199,a(flip),b,4316,a)]. given #4087 (H,wt=18): 4318 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4316(a,2),565(a,1))]. given #4088 (H,wt=24): 4320 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(240,a,3797,a(flip),b,4317,a(flip))]. given #4089 (H,wt=29): 4111 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(4105(a,1),2142(a,1,1,2,1)),flip(a)]. given #4090 (H,wt=27): 4323 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(134(a,1),4111(a,1,1))]. given #4091 (H,wt=25): 4324 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(134(a,1),4323(a,1,2,1,1)),flip(a)]. given #4092 (H,wt=23): 4325 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(240,a,1969,a(flip),b,4324,a)]. given #4093 (H,wt=27): 4326 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4325(a,1,1,2,1)),flip(a)]. given #4094 (H,wt=23): 4327 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4326(a,1,1,2,1)),flip(a)]. given #4095 (H,wt=29): 4179 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4171(a,1),2375(a,2,1))]. given #4096 (H,wt=24): 4328 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1085,a,4179,a),flip(a)]. given #4097 (H,wt=20): 4329 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2895(a,1),4328(a,1,1)),flip(a)]. given #4098 (H,wt=25): 4330 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(75,a,4329,a(flip),b,1080,a)]. given #4099 (H,wt=25): 4332 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2898(a,1),4330(a,1,1))]. given #4100 (H,wt=29): 4314 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) != u | L(z,T(y \ 1,x),y) = u. [para(4144(a,1),3909(a,1))]. given #4101 (H,wt=30): 4064 (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(1904(a,1),3955(a,1,2,1))]. given #4102 (H,wt=12): 4333 T(x,R(x * K(y,x),z,u)) = x. [hyper(308,a,4064,a),flip(a)]. given #4103 (H,wt=31): 3895 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). [para(3892(a,1),2130(a,2,2)),flip(a)]. given #4104 (H,wt=29): 4335 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). [para(2789(a,1),3895(a,2,1,2))]. given #4105 (H,wt=23): 4336 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). [para(2701(a,1),4335(a,2,1))]. given #4106 (H,wt=31): 4047 (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(3892(a,1),4013(a,1,2)),flip(a)]. given #4107 (H,wt=29): 4337 (x * y) * ((K(x \ 1,x) * y) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(2789(a,1),4047(a,1,2,1))]. given #4108 (H,wt=24): 4338 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * R(x \ 1,x,y). [para(289(a,1),4337(a,1,2)),flip(a)]. given #4109 (H,wt=20): 4339 (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. [hyper(75,a,4336,a(flip),b,4338,a(flip))]. given #4110 (H,wt=31): 4322 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4320(a,1),3419(a,2,2))]. given #4111 (H,wt=33): 4061 (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(3934(a,1),186(a,1,1,2))]. given #4112 (H,wt=31): 4340 (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(1165(a,1),4061(a,1,1))]. given #4113 (H,wt=29): 4341 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1191(a,1),4340(a,1,2))]. given #4114 (H,wt=19): 4342 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(669,a,4341,a),flip(a)]. given #4115 (H,wt=25): 4343 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(240,a,4266,a,b,4342,a(flip)),flip(a)]. given #4116 (H,wt=23): 4344 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3919(a,1),4343(a,1,1))]. given #4117 (H,wt=37): 3674 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3660(a,2),2852(a,1,1,1,1))]. given #4118 (H,wt=37): 3682 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(3680(a,1),2232(a,1,1)),flip(a)]. given #4119 (H,wt=30): 4346 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3680(a,1),3682(a,2,2,1,1))]. given #4120 (H,wt=24): 4347 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(240,a,3245,a(flip),b,4346,a)]. given #4121 (H,wt=18): 4349 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3245(a,1),4347(a,1,1))]. given #4122 (H,wt=25): 4350 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(4349(a,1),3288(a,1,1))]. given #4123 (H,wt=23): 4351 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3284(a,1),4350(a,2,1))]. given #4124 (H,wt=23): 4353 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(4351(a,1),14(a,1,2))]. given #4125 (H,wt=23): 4355 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2907,a,4353,a)]. given #4126 (H,wt=23): 4356 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(240,a,3832,a(flip),b,4355,a(flip)),flip(a)]. given #4127 (H,wt=21): 4357 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2960(a,1),4356(a,1,2))]. given #4128 (H,wt=25): 4358 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(240,a,3381,a(flip),b,4357,a(flip))]. given #4129 (H,wt=21): 4359 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3014(a,1),4358(a,1,1)),flip(a)]. given #4130 (H,wt=21): 4360 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4359(a,1),3784(a,1,2))]. given #4131 (H,wt=21): 4361 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4360(a,1),261(a,1,1)),flip(a)]. given #4132 (H,wt=21): 4362 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(240,a,4322,a,b,4361,a(flip)),flip(a)]. given #4133 (H,wt=22): 4363 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3798,a,4362,a)]. given #4134 (H,wt=18): 4365 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(240,a,91,a(flip),b,4363,a)]. given #4135 (H,wt=21): 4367 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4365(a,1),2782(a,1,2))]. given #4136 (H,wt=26): 4368 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4367(a,1),3803(a,1,2)),flip(a)]. given #4137 (H,wt=14): 4370 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(240,a,2941,a(flip),b,4368,a)]. given #4138 (H,wt=10): 4374 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4370(a,1,3))]. given #4139 (H,wt=10): 4377 R(x,y,K(z \ 1,z)) = x. [hyper(240,a,3678,a(flip),b,4374,a(flip)),flip(a)]. given #4140 (H,wt=10): 4379 R(x,K(y,y \ 1),z) = x. [para(1441(a,1),4374(a,1,2))]. given #4141 (H,wt=10): 4387 R(x,y,K(z,1 / z)) = x. [para(65(a,1),4377(a,1,3,1))]. given #4142 (H,wt=10): 4391 R(x,y,K(z,z \ 1)) = x. [para(1441(a,1),4377(a,1,3))]. given #4143 (H,wt=10): 4392 R(x,y,K(1 / z,z)) = x. [para(1506(a,2),4377(a,1,3))]. given #4144 (H,wt=13): 4384 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3578,a,4377,a),flip(a)]. given #4145 (H,wt=13): 4396 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(2681,a,4391,a)]. given #4146 (H,wt=13): 4407 T(x,y * K(z,z \ 1)) = T(x,y). [para(1441(a,1),4384(a,1,2,2))]. given #4147 (H,wt=13): 4411 T(x,K(y \ 1,y) * z) = T(x,z). [para(2894(a,2),4384(a,1,2))]. given #4148 (H,wt=13): 4412 T(x,K(y,y \ 1) * z) = T(x,z). [para(2939(a,1),4384(a,1,2)),flip(a)]. given #4149 (H,wt=13): 4416 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(62(a,1),4396(a,1,3)),flip(a)]. given #4150 (H,wt=15): 4383 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(3673,a,4377,a),flip(a)]. given #4151 (H,wt=15): 4408 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2268(a,1),4384(a,1,2))]. given #4152 (H,wt=15): 4409 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2512(a,1),4384(a,1,2)),flip(a)]. given #4153 (H,wt=15): 4413 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2900(a,1),4384(a,1,2)),flip(a)]. given #4154 (H,wt=15): 4414 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2938(a,1),4384(a,1,2))]. given #4155 (H,wt=15): 4415 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2951(a,1),4384(a,1,2))]. given #4156 (H,wt=15): 4419 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2635(a,1),4407(a,1,2)),flip(a)]. given #4157 (H,wt=15): 4420 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2966(a,1),4407(a,1,2))]. given #4158 (H,wt=15): 4429 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(240,a,661,a(flip),b,4414,a(flip))]. given #4159 (H,wt=11): 4432 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4429,a)]. given #4160 (H,wt=17): 4389 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4377(a,1),393(a,1,1)),flip(a)]. given #4161 (H,wt=17): 4431 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3374(a,1),4415(a,1,2)),flip(a)]. given #4162 (H,wt=17): 4433 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2896,a,4389,a)]. given #4163 (H,wt=18): 4422 T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). [para(943(a,1),4411(a,1,2)),flip(a)]. given #4164 (H,wt=19): 4378 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4374(a,1),118(a,1,1)),flip(a)]. given #4165 (H,wt=19): 4386 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(240,a,3597,a(flip),b,4377,a(flip)),flip(a)]. given #4166 (H,wt=17): 4439 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(240,a,3543,a(flip),b,4386,a)]. given #4167 (H,wt=19): 4388 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4377(a,1),118(a,1,1)),flip(a)]. given #4168 (H,wt=14): 4443 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(438,a,4388,a)]. given #4169 (H,wt=14): 4449 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(240,a,2898,a(flip),b,4443,a(flip)),flip(a)]. given #4170 (H,wt=19): 4393 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4377(a,1),2954(a,1,1))]. given #4171 (H,wt=17): 4456 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1469(a,1),4393(a,1,2)),flip(a)]. given #4172 (H,wt=15): 4457 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4456(a,1),4384(a,1,2)),flip(a)]. given #4173 (H,wt=19): 4394 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4379(a,1),118(a,1,1)),flip(a)]. given #4174 (H,wt=10): 4459 L(x,K(y,y \ 1),z) = x. [hyper(438,a,4394,a)]. given #4175 (H,wt=10): 4463 L(x,y * (1 / y),z) = x. [para(1440(a,1),4459(a,1,2))]. given #4176 (H,wt=19): 4395 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4387(a,1),118(a,1,1)),flip(a)]. given #4177 (H,wt=19): 4400 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4391(a,1),118(a,1,1)),flip(a)]. given #4178 (H,wt=14): 4469 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(438,a,4400,a)]. given #4179 (H,wt=17): 4467 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3161,a,4400,a)]. given #4180 (H,wt=17): 4473 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(73,a,4467,a(flip),b,1440,a(flip))]. given #4181 (H,wt=17): 4475 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(73,a,4473,a(flip),b,1455,a(flip)),flip(a)]. given #4182 (H,wt=19): 4402 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4391(a,1),2976(a,1,1))]. given #4183 (H,wt=19): 4403 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4392(a,1),118(a,1,1)),flip(a)]. given #4184 (H,wt=19): 4424 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2013(a,1),4412(a,1,2))]. given #4185 (H,wt=19): 4434 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3634,a,4378,a)]. given #4186 (H,wt=19): 4438 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(240,a,3596,a,b,4386,a),flip(a)]. given #4187 (H,wt=19): 4440 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2894(a,2),4386(a,1,2))]. given #4188 (H,wt=19): 4442 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2896,a,4388,a)]. given #4189 (H,wt=19): 4454 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(240,a,2894,a,b,4393,a)]. given #4190 (H,wt=19): 4455 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(240,a,3604,a,b,4393,a(flip)),flip(a)]. given #4191 (H,wt=17): 4491 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4455(a,2),4384(a,1,2))]. given #4192 (H,wt=19): 4460 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(240,a,3539,a(flip),b,4394,a(flip)),flip(a)]. given #4193 (H,wt=17): 4494 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [hyper(374,a,4460,a),flip(a)]. given #4194 (H,wt=19): 4465 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3598,a(flip),b,4395,a)]. given #4195 (H,wt=19): 4466 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(240,a,2910,a,b,4395,a(flip)),flip(a)]. given #4196 (H,wt=19): 4478 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2767,a,4434,a)]. given #4197 (H,wt=19): 4488 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(240,a,3604,a,b,4454,a(flip)),flip(a)]. given #4198 (H,wt=19): 4492 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2745(a,1),4491(a,1,2,1)),flip(a)]. given #4199 (H,wt=19): 4493 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2969(a,1),4491(a,1,2,1))]. given #4200 (H,wt=19): 4495 x * (K(y,y \ 1) * (x \ z)) = K(y,y \ 1) * z. [hyper(310,a,4460,a),flip(a)]. given #4201 (H,wt=20): 4430 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3323(a,2),4414(a,1,2,1))]. given #4202 (H,wt=21): 4427 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4383(a,1),4212(a,1,2,1))]. given #4203 (H,wt=15): 4512 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4213,a,4427,a)]. given #4204 (H,wt=15): 4513 T(x * (y / x),z) = x * (T(y,z) / x). [para(4512(a,1),14(a,1,2)),flip(a)]. given #4205 (H,wt=15): 4514 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4512(a,1,2,1,2)),flip(a)]. given #4206 (H,wt=15): 4517 T((x \ y) * x,z) / x = x \ T(y,z). [para(61(a,1),4512(a,1,2,1)),flip(a)]. given #4207 (H,wt=15): 4524 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4513(a,1,1,2)),flip(a)]. given #4208 (H,wt=15): 4528 T(x * (y / x),K(y,z)) = x * (y / x). [para(3024(a,1),4513(a,2,2,1))]. given #4209 (H,wt=13): 4542 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4528,a)]. given #4210 (H,wt=15): 4529 T(x * (y / x),K(z,y)) = x * (y / x). [para(3190(a,1),4513(a,2,2,1))]. given #4211 (H,wt=15): 4531 (x \ T(x * y,z)) * x = T(y * x,z). [para(4514(a,1),16(a,1,1))]. given #4212 (H,wt=15): 4535 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4517(a,1),16(a,1,1)),flip(a)]. given #4213 (H,wt=15): 4541 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4524(a,1),4195(a,1,2)),flip(a)]. given #4214 (H,wt=15): 4543 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4542(a,1,2,2))]. given #4215 (H,wt=17): 4518 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4512(a,1),180(a,1,2,2))]. given #4216 (H,wt=17): 4523 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(4120(a,2),4512(a,1,2,1))]. given #4217 (H,wt=17): 4532 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4514(a,1),124(a,1,1))]. given #4218 (H,wt=17): 4536 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4517(a,1),124(a,1,1)),flip(a)]. given #4219 (H,wt=17): 4549 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4535(a,1),122(a,1,2))]. given #4220 (H,wt=17): 4550 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(124(a,1),4535(a,2,1,2))]. given #4221 (H,wt=17): 4556 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4532(a,2),4177(a,1))]. given #4222 (H,wt=18): 4516 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(4512(a,1),224(a,1,2)),flip(b)]. given #4223 (H,wt=18): 4525 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(4513(a,2),19(a,1))]. given #4224 (H,wt=18): 4537 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(4517(a,2),224(a,1,2)),flip(b)]. given #4225 (H,wt=18): 4538 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4517(a,1),226(a,1,1)),flip(b)]. given #4226 (H,wt=18): 4545 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4531(a,1),299(a,1,1)),flip(b)]. given #4227 (H,wt=18): 4548 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4535(a,2),20(a,1))]. given #4228 (H,wt=19): 4515 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(62(a,1),4512(a,1,2,1,2))]. given #4229 (H,wt=17): 4564 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(240,a,1026,a(flip),b,4515,a)]. given #4230 (H,wt=19): 4530 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(240,a,864,a,b,4514,a),flip(a)]. given #4231 (H,wt=19): 4551 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4535(a,2),100(a,1,1))]. given #4232 (H,wt=19): 4554 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(124(a,1),4518(a,1,2,2,1)),flip(a)]. given #4233 (H,wt=19): 4555 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(176(a,1),4518(a,1,2,2,1)),flip(a)]. given #4234 (H,wt=19): 4558 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(240,a,4090,a(flip),b,4549,a(flip))]. given #4235 (H,wt=17): 4568 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(240,a,4092,a(flip),b,4558,a(flip))]. given #4236 (H,wt=19): 4559 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(124(a,1),4549(a,1,2,1,2)),flip(a)]. given #4237 (H,wt=19): 4561 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4550(a,1),177(a,1,1,2))]. given #4238 (H,wt=21): 4428 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3375(a,1),4413(a,2,2))]. given #4239 (H,wt=21): 4453 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(240,a,1310,a,b,4449,a(flip)),flip(a)]. given #4240 (H,wt=21): 4458 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [para(4457(a,1),122(a,1,2))]. given #4241 (H,wt=21): 4470 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(240,a,2430,a,b,4469,a(flip)),flip(a)]. given #4242 (H,wt=21): 4487 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2563(a,1),4438(a,2,2))]. given #4243 (H,wt=19): 4575 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1456(a,1),4487(a,1,1)),flip(a)]. given #4244 (H,wt=21): 4489 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(240,a,3605,a(flip),b,4454,a(flip))]. given #4245 (H,wt=21): 4490 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2755(a,1),4455(a,1,1)),flip(a)]. given #4246 (H,wt=21): 4498 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2755(a,1),4460(a,2,2))]. given #4247 (H,wt=21): 4499 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2968(a,1),4460(a,2,2))]. given #4248 (H,wt=21): 4500 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2969(a,1),4460(a,2,2))]. given #4249 (H,wt=19): 4577 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(4500(a,1),4412(a,1,2))]. given #4250 (H,wt=21): 4503 ((x \ 1) \ y) * K(z \ 1,z) = (x \ K(z,z \ 1)) \ y. [para(4494(a,1),4455(a,1,1)),flip(a)]. given #4251 (H,wt=21): 4504 K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). [para(4494(a,1),4460(a,2,2))]. given #4252 (H,wt=21): 4505 K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. [para(2969(a,1),4488(a,1,1)),flip(a)]. given #4253 (H,wt=21): 4534 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4514(a,1),3778(a,1,2))]. given #4254 (H,wt=21): 4573 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4453(a,1),14(a,1,2))]. given #4255 (H,wt=19): 4583 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2580,a,4573,a)]. given #4256 (H,wt=14): 4586 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(182,a,1304,a,b,4583,a)]. given #4257 (H,wt=14): 4587 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(4586(a,2),3452(a,1,2))]. given #4258 (H,wt=21): 4576 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2962,a,4490,a)]. given #4259 (H,wt=21): 4578 ((x \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. [hyper(2572,a,4503,a)]. given #4260 (H,wt=22): 4404 x * K(1 / y,y) != z * (u * K(1 / y,y)) | z * u = x. [para(4392(a,1),473(a,1,1)),flip(a)]. given #4261 (H,wt=22): 4425 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4416(a,1),118(a,1,1))]. given #4262 (H,wt=22): 4436 x * (K(y \ 1,y) * z) != u | K(y \ 1,y) * (x * z) = u. [para(4378(a,1),3634(a,1))]. given #4263 (H,wt=22): 4451 (x * y) * K(z \ 1,z) != u | x * (y * K(z \ 1,z)) = u. [para(4443(a,1),230(a,1,2))]. given #4264 (H,wt=22): 4472 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4469(a,1),230(a,1,2))]. given #4265 (H,wt=22): 4477 (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. [para(4403(a,1),19(a,1)),flip(a)]. given #4266 (H,wt=22): 4519 x * (T(y,z) / x) != u * w | T(x * (y / x),z) / w = u. [para(4512(a,1),295(a,1,2))]. given #4267 (H,wt=22): 4533 (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. [para(4514(a,1),906(a,1))]. given #4268 (H,wt=22): 4539 (x \ T(y,z)) * x != u * w | u \ T((x \ y) * x,z) = w. [para(4517(a,1),294(a,1,1))]. given #4269 (H,wt=22): 4553 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4543(a,1),231(a,1,2))]. given #4270 (H,wt=22): 4562 x * ((y \ (x \ z)) * y) != u | ((y \ (z / x)) * y) * x = u. [para(4550(a,1),231(a,1,2))]. given #4271 (H,wt=22): 4571 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4561(a,1),226(a,1,1)),flip(b)]. given #4272 (H,wt=23): 4417 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(240,a,3484,a(flip),b,4407,a)]. given #4273 (H,wt=23): 4445 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4388(a,1),3567(a,1,1))]. given #4274 (H,wt=23): 4446 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4388(a,1),3639(a,1,1))]. given #4275 (H,wt=23): 4486 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4434(a,1),4393(a,1,2))]. given #4276 (H,wt=23): 4501 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4460(a,1),4402(a,1,2))]. given #4277 (H,wt=23): 4502 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4460(a,1),4455(a,1,1))]. given #4278 (H,wt=23): 4506 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3695(a,1),4488(a,1,1)),flip(a)]. given #4279 (H,wt=23): 4560 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(123(a,1),4549(a,1,2,1,2))]. given #4280 (H,wt=23): 4569 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(240,a,3709,a,b,4559,a(flip)),flip(a)]. given #4281 (H,wt=23): 4581 T(x,x \ 1) \ ((y * (x \ 1)) \ z) = x \ ((y * (1 / x)) \ z). [para(4505(a,1),2785(a,1,2)),flip(a)]. given #4282 (H,wt=21): 4596 (x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y). [hyper(240,a,2178,a(flip),b,4581,a(flip)),flip(a)]. given #4283 (H,wt=23): 4582 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(240,a,1233,a,b,4534,a(flip)),flip(a)]. given #4284 (H,wt=23): 4585 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4573(a,1),2510(a,1,1))]. given #4285 (H,wt=23): 4590 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3697(a,2),4417(a,1,2))]. given #4286 (H,wt=21): 4599 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3543(a,1),4590(a,1,2,1))]. given #4287 (H,wt=23): 4597 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4571,a,4582,a)]. given #4288 (H,wt=24): 4546 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4531(a,1),424(a,1,2))]. given #4289 (H,wt=25): 4579 K(x,x \ 1) * (y \ (z * (u \ 1))) = y \ (z * (u \ K(x,x \ 1))). [hyper(73,a,4504,a(flip),b,4495,a),flip(a)]. given #4290 (H,wt=25): 4588 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4425(a,1),20(a,1))]. given #4291 (H,wt=25): 4595 (1 / x) * (R(1 / x,y,z) \ u) = (x \ 1) * (R(x \ 1,y,z) \ u). [para(4506(a,1),2746(a,1,2))]. given #4292 (H,wt=24): 4600 (x \ 1) * (R(x \ 1,x,y) \ z) = (1 / x) * ((y / (x * y)) \ z). [para(172(a,1),4595(a,1,2,1)),flip(a)]. given #4293 (H,wt=26): 4405 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4392(a,1),505(a,1,1))]. given #4294 (H,wt=26): 4483 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4434(a,2),28(a,2,2,2)),flip(a)]. given #4295 (H,wt=26): 4593 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4486(a,2,1))]. given #4296 (H,wt=21): 4603 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(240,a,4483,a(flip),b,4593,a(flip)),flip(a)]. given #4297 (H,wt=21): 4604 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(240,a,2894,a,b,4603,a)]. given #4298 (H,wt=21): 4605 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2941(a,1),4604(a,1,1)),flip(a)]. given #4299 (H,wt=17): 4608 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(240,a,2979,a(flip),b,4605,a(flip)),flip(a)]. given #4300 (H,wt=17): 4609 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [hyper(75,a,4605,a(flip),b,2979,a(flip)),flip(a)]. given #4301 (H,wt=17): 4611 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4608(a,1),61(a,1,2,1)),flip(a)]. given #4302 (H,wt=17): 4612 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),4608(a,1,1,2,1)),flip(a)]. given #4303 (H,wt=17): 4613 L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). [para(3237(a,1),4609(a,1,2,1)),flip(a)]. given #4304 (H,wt=21): 4606 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2959,a,4605,a),flip(a)]. given #4305 (H,wt=19): 4618 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1869(a,1),4606(a,1,1)),flip(a)]. given #4306 (H,wt=21): 4607 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2767,a,4605,a),flip(a)]. given #4307 (H,wt=19): 4622 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2489(a,1),4607(a,1,1)),flip(a)]. given #4308 (H,wt=19): 4624 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(240,a,2011,a(flip),b,4622,a(flip)),flip(a)]. given #4309 (H,wt=19): 4625 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(123(a,1),4624(a,2,1))]. given #4310 (H,wt=19): 4626 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(81,a,4625,a)]. given #4311 (H,wt=19): 4628 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(240,a,1512,a,b,4626,a(flip)),flip(a)]. given #4312 (H,wt=13): 4629 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2123,a,4628,a)]. given #4313 (H,wt=13): 4630 L(x,y,z) / x = x \ L(x,y,z). [hyper(90,a,4629,a)]. given #4314 (H,wt=15): 4632 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1632,a,4630,a)]. given #4315 (H,wt=16): 4633 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(4630(a,1),226(a,1,1)),flip(b)]. given #4316 (H,wt=19): 4631 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(18,a,1603,a,b,4629,a)]. given #4317 (H,wt=20): 4634 (x \ L(x,y,z)) * x != u * w | L(x,y,z) / w = u. [para(4630(a,1),381(a,1,1))]. given #4318 (H,wt=21): 4620 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4618(a,1),3601(a,1,1)),flip(a)]. given #4319 (H,wt=21): 4621 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4618(a,1),3602(a,1,1))]. given #4320 (H,wt=21): 4638 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(240,a,1319,a(flip),b,4620,a(flip)),flip(a)]. given #4321 (H,wt=22): 4614 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4612(a,1),106(a,1,2))]. given #4322 (H,wt=22): 4615 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(235(a,1),4612(a,2,1,2))]. given #4323 (H,wt=22): 4616 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(456(a,1),4612(a,2,1,2))]. given #4324 (H,wt=22): 4627 x \ L((x \ 1) \ 1,y,z) != u | L(x,y,z) * (1 / x) = u. [para(4625(a,1),241(a,1,2)),flip(b)]. given #4325 (H,wt=22): 4635 (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. [para(4632(a,1),542(a,1))]. given #4326 (H,wt=23): 4642 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(73,a,4616,a(flip),b,199,a),flip(a)]. given #4327 (H,wt=19): 4644 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(240,a,4597,a(flip),b,4642,a(flip)),flip(a)]. given #4328 (H,wt=19): 4645 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4644(a,1),16(a,1,1))]. given #4329 (H,wt=22): 4646 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4644(a,1),226(a,1,1)),flip(b)]. given #4330 (H,wt=22): 4647 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4645(a,2),20(a,1))]. given #4331 (H,wt=24): 4617 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(454(a,1),4612(a,2,1,2))]. given #4332 (H,wt=25): 4623 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4607(a,2),4402(a,1,2))]. given #4333 (H,wt=26): 4598 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(4585(a,2),20(a,1))]. given #4334 (H,wt=26): 4602 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4403(a,1),4405(a,1,2))]. given #4335 (H,wt=26): 4648 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4403(a,1),4602(a,1,2,2))]. given #4336 (H,wt=21): 4649 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(449,a,4648,a)]. given #4337 (H,wt=27): 4441 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4439(a,1),3484(a,1,2,1)),flip(a)]. given #4338 (H,wt=25): 4650 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3640(a,1),4441(a,1,2,1)),flip(a)]. given #4339 (H,wt=21): 4651 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(240,a,4599,a(flip),b,4650,a(flip))]. given #4340 (H,wt=27): 4619 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2260(a,1),4606(a,2,2))]. given #4341 (H,wt=25): 4653 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2260(a,1),4619(a,1,1,2))]. given #4342 (H,wt=27): 4641 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(235(a,1),4614(a,1,2,1,2))]. given #4343 (H,wt=28): 4567 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(171(a,2),4554(a,2,2,2,1))]. given #4344 (H,wt=28): 4570 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(172(a,2),4559(a,1,1,1,2))]. given #4345 (H,wt=28): 4580 K(x,x \ 1) * (y * (z \ 1)) != u * w | u \ (y * (z \ K(x,x \ 1))) = w. [para(4504(a,2),517(a,1))]. given #4346 (H,wt=28): 4639 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (y \ (x * 1)) \ ((x \ y) \ 1). [para(454(a,1),4621(a,2,1))]. given #4347 (H,wt=23): 4656 (x \ (y * 1)) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). [hyper(240,a,2307,a(flip),b,4639,a(flip))]. given #4348 (H,wt=21): 4657 (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [para(12(a,1),4656(a,1,1,2)),flip(a)]. given #4349 (H,wt=28): 4654 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(240,a,4554,a(flip),b,4567,a(flip))]. given #4350 (H,wt=28): 4655 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3703(a,2),4570(a,1,1))]. given #4351 (H,wt=25): 4659 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(233,a,4655,a),flip(a)]. given #4352 (H,wt=28): 4658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4611(a,2),4654(a,1,2))]. given #4353 (H,wt=25): 4660 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(230,a,4658,a),flip(a)]. given #4354 (H,wt=29): 4485 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4434(a,2),449(a,1,2,2))]. given #4355 (H,wt=29): 4584 (L(x \ 1,y,z) \ (x \ 1)) * K(x,x \ 1) = (L(x \ 1,y,z) \ 1) * (x \ 1). [para(1507(a,1),4573(a,1,2))]. given #4356 (H,wt=29): 4643 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(4616(a,2),517(a,1))]. given #4357 (H,wt=31): 4566 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3822,a,4554,a),flip(a)]. given #4358 (H,wt=31): 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4554(a,1),4566(a,2,1))]. given #4359 (H,wt=32): 4589 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) != w | K(x \ 1,x) * (T(T(x,y),z) * u) = w. [para(2791(a,2),4436(a,1))]. given #4360 (H,wt=32): 4591 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(75,a,4445,a(flip),b,118,a)]. given #4361 (H,wt=32): 4592 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3623,a,4446,a),flip(a)]. given #4362 (H,wt=20): 4665 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4478(a,1),4592(a,1,2)),flip(a)]. given #4363 (H,wt=15): 4666 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(240,a,28,a,b,4665,a)]. given #4364 (H,wt=13): 4668 L(x,1 / y,z) = L(x,y \ 1,z). [para(1115(a,1),4666(a,1,2)),flip(a)]. given #4365 (H,wt=13): 4669 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1412(a,1),4666(a,1,2)),flip(a)]. given #4366 (H,wt=13): 4670 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1416(a,1),4666(a,1,2)),flip(a)]. given #4367 (H,wt=15): 4672 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2894(a,2),4666(a,1,2))]. given #4368 (H,wt=17): 4671 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2512(a,1),4666(a,1,2)),flip(a)]. given #4369 (H,wt=19): 4675 L(x,L(1 / y,z,u),w) = L(x,L(y \ 1,z,u),w). [para(2441(a,1),4669(a,1,2)),flip(a)]. given #4370 (H,wt=21): 4673 L(x,y \ 1,T(z,z \ u)) = L(x,1 / y,(z \ u) \ u). [hyper(1920,a,4668,a),flip(a)]. given #4371 (H,wt=22): 4677 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(4670(a,1),106(a,1,2))]. given #4372 (H,wt=24): 4674 L(x,y \ 1,T(z,z \ u)) != w | L(x,1 / y,(z \ u) \ u) = w. [para(4668(a,1),1920(a,1))]. given #4373 (H,wt=25): 4678 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(240,a,4251,a(flip),b,4673,a(flip))]. given #4374 (H,wt=25): 4679 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(4677(a,1),19(a,1)),flip(a)]. given #4375 (H,wt=32): 4664 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3567(a,1),4591(a,1,2))]. given #4376 (H,wt=32): 4680 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(240,a,4440,a(flip),b,4664,a(flip)),flip(a)]. given #4377 (H,wt=27): 4681 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3686(a,1),4680(a,1,2))]. given #4378 (H,wt=15): 4682 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(240,a,3694,a(flip),b,4681,a(flip))]. given #4379 (H,wt=13): 4684 R(x,1 / y,z) = R(x,y \ 1,z). [para(1115(a,1),4682(a,1,2)),flip(a)]. given #4380 (H,wt=13): 4685 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1412(a,1),4682(a,1,2)),flip(a)]. given #4381 (H,wt=22): 4687 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4685(a,1),118(a,1,1))]. given #4382 (H,wt=24): 4686 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(4684(a,1),3488(a,1,2))]. given #4383 (H,wt=24): 4690 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2736(a,1),4686(a,1,2,1))]. given #4384 (H,wt=25): 4689 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4687(a,1),20(a,1))]. given #4385 (H,wt=26): 4691 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4294(a,1),4690(a,1,2,1)),flip(a)]. given #4386 (H,wt=34): 4497 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4460(a,2),24(a,2,2,1)),flip(a)]. given #4387 (H,wt=34): 4594 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(669,a,4501,a),flip(a)]. given #4388 (H,wt=34): 4692 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3542(a,1),4497(a,1,1,2))]. given #4389 (H,wt=34): 4693 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4460(a,2),4594(a,1,1,1,2))]. given #4390 (H,wt=34): 4694 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3542(a,1),4692(a,1,2))]. given #4391 (H,wt=34): 4695 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4502(a,1),4693(a,1,1))]. given #4392 (H,wt=27): 4697 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),4695(a,1,1,1))]. given #4393 (H,wt=15): 4698 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(2570,a,4697,a)]. given #4394 (H,wt=13): 4701 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1459(a,1),4698(a,1,3))]. given #4395 (H,wt=13): 4702 a(x,y,1 / z) = a(x,y,z \ 1). [para(1867(a,1),4698(a,1,3))]. given #4396 (H,wt=17): 4703 a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). [para(2755(a,1),4698(a,1,3)),flip(a)]. given #4397 (H,wt=21): 4704 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4500(a,1),4698(a,1,3))]. given #4398 (H,wt=28): 4700 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(240,a,4594,a,b,4698,a(flip)),flip(a)]. given #4399 (H,wt=28): 4706 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2913(a,1),4700(a,1,1,1,2,2))]. given #4400 (H,wt=34): 4696 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(240,a,4402,a(flip),b,4694,a(flip)),flip(a)]. given #4401 (H,wt=34): 4707 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4502(a,1),4696(a,1,1))]. given #4402 (H,wt=27): 4708 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),4707(a,1,1,1))]. given #4403 (H,wt=15): 4709 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(2570,a,4708,a)]. given #4404 (H,wt=13): 4711 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1459(a,1),4709(a,1,2))]. given #4405 (H,wt=13): 4712 a(x,1 / y,z) = a(x,y \ 1,z). [para(1867(a,1),4709(a,1,2))]. given #4406 (H,wt=15): 4713 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2913(a,1),4709(a,1,2))]. given #4407 (H,wt=35): 4662 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),4661(a,1,1,2)),flip(a)]. given #4408 (H,wt=31): 4714 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),4662(a,2,2,2,1,1,2))]. given #4409 (H,wt=27): 4715 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),4714(a,1,2))]. given #4410 (H,wt=37): 4345 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3483(a,2),3674(a,1,1))]. given #4411 (H,wt=37): 4640 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(4621(a,1),464(a,1,2,1))]. given #4412 (H,wt=37): 4716 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(3807(a,1),4640(a,1,2))]. given #4413 (H,wt=37): 4717 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(4675(a,1),4716(a,1,2))]. given #4414 (H,wt=28): 4718 (x / (1 / y)) * L(1 / y,z,u) != w | (x / (y \ 1)) * L(y \ 1,z,u) = w. [para(4717(a,1),717(a,1))]. given #4415 (H,wt=39): 3615 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3566(a,1),1943(a,2,2,1,2)),flip(a)]. given #4416 (H,wt=33): 4719 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3245(a,1),3615(a,2,1))]. given #4417 (H,wt=27): 4720 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3605(a,1),4719(a,1,2,1)),flip(a)]. given #4418 (H,wt=27): 4721 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3322(a,1),4720(a,2,2))]. given #4419 (H,wt=25): 4722 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(240,a,263,a(flip),b,4721,a),flip(a)]. given #4420 (H,wt=23): 4723 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4296(a,1),4722(a,2,1,2))]. given #4421 (H,wt=19): 4724 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(240,a,4149,a(flip),b,4723,a)]. given #4422 (H,wt=17): 4725 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4724(a,1),4287(a,1,2)),flip(a)]. given #4423 (H,wt=15): 4726 ((x \ y) * x) / y = y / (x * (y / x)). [para(4284(a,1),4725(a,1,1))]. given #4424 (H,wt=15): 4727 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(240,a,3992,a(flip),b,4726,a)]. given #4425 (H,wt=17): 4728 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(240,a,4568,a,b,4727,a(flip)),flip(a)]. given #4426 (H,wt=24): 4729 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4728(a,1),4263(a,2,2))]. given #4427 (H,wt=19): 4730 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(240,a,4617,a(flip),b,4729,a(flip)),flip(a)]. given #4428 (H,wt=15): 4731 x * (y \ (x / (x / y))) = (y \ x) * y. [para(128(a,1),4730(a,1,1,2)),flip(a)]. given #4429 (H,wt=13): 4732 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,263,a,b,4731,a)]. given #4430 (H,wt=13): 4735 x / (x / y) = y * K(y \ x,y). [para(4732(a,1),14(a,1,2)),flip(a)]. given #4431 (H,wt=13): 4740 (x * K(x \ y,x)) * (y / x) = y. [para(4735(a,1),16(a,1,1))]. given #4432 (H,wt=13): 4742 (x * K(x \ y,x)) \ y = y / x. [para(4735(a,1),65(a,1,1))]. given #4433 (H,wt=15): 4734 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(240,a,4728,a,b,4732,a(flip)),flip(a)]. given #4434 (H,wt=15): 4739 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4735(a,2,2,1))]. given #4435 (H,wt=9): 4746 K(x,y) = T(y,x) \ y. [hyper(3770,a,4739,a),flip(a)]. given #4436 (H,wt=9): 4750 K(x,y) = y / T(y,x). [hyper(240,a,3177,a,b,4746,a)]. given #4437 (H,wt=9): 4753 K(x,y) = x \ T(x,y). [hyper(240,a,3912,a(flip),b,4746,a)]. given #4438 (H,wt=9): 4759 T(x,y) * K(y,x) = x. [para(4746(a,2),14(a,1,2))]. given #4439 (H,wt=9): 4762 T(x,y) = x / K(y,x). [para(4746(a,2),62(a,1,2)),flip(a)]. given #4440 (H,wt=9): 4769 K(x,y) * T(y,x) = y. [para(4746(a,2),3181(a,1,1))]. given #4441 (H,wt=9): 4770 T(x,y) = K(y,x) \ x. [para(4746(a,2),3182(a,1,1)),flip(a)]. given #4442 (H,wt=9): 4777 T(x * K(y,x),y) = x. [para(4746(a,2),3975(a,1,1,2))]. given #4443 (H,wt=9): 4794 K(x,y) = T(x,y) / x. [hyper(240,a,3239,a,b,4753,a)]. given #4444 (H,wt=9): 4800 T(x,y) = x * K(x,y). [para(4753(a,2),14(a,1,2)),flip(a)]. given #4445 (H,wt=9): 4809 T(x,y) = K(x,y) * x. [para(4753(a,2),3241(a,1,1)),flip(a)]. given #4446 (H,wt=9): 4848 T(K(x,y) * y,x) = y. [para(3191(a,2),4777(a,1,1))]. given #4447 (H,wt=11): 4748 K(x,y) = ((y * x) / y) \ x. [hyper(240,a,3723,a,b,4746,a)]. given #4448 (H,wt=11): 4749 K(x,y) = (1 / T(y,x)) * y. [hyper(240,a,3179,a,b,4746,a)]. given #4449 (H,wt=11): 4752 K(x,y) = y * (T(y,x) \ 1). [hyper(240,a,988,a,b,4746,a)]. given #4450 (H,wt=11): 4756 K(x,y) / y = 1 / T(y,x). [hyper(75,a,4746,a,b,3179,a)]. given #4451 (H,wt=11): 4757 T(x,y) \ 1 = x \ K(y,x). [hyper(73,a,4746,a,b,988,a),flip(a)]. given #4452 (H,wt=11): 4771 T(x,y) = (K(y,x) / x) \ 1. [para(4746(a,2),3188(a,1,1,1)),flip(a)]. given #4453 (H,wt=11): 4772 K(x,y) * ((y * x) / y) = x. [para(4746(a,2),3724(a,1,1))]. given #4454 (H,wt=11): 4774 K(x,y) * (y * x) = x * y. [para(4746(a,2),3854(a,1,1))]. given #4455 (H,wt=11): 4776 (x * y) / x = y * K(x,y). [para(4746(a,2),3915(a,2,2))]. given #4456 (H,wt=11): 4791 K(x,y) = y \ ((x * y) / x). [hyper(240,a,3717,a,b,4753,a)]. given #4457 (H,wt=11): 4793 K(x,y) = (1 / x) * T(x,y). [hyper(240,a,3244,a,b,4753,a)]. given #4458 (H,wt=11): 4795 K(x,y) = T(x,y) * (x \ 1). [hyper(240,a,983,a,b,4753,a)]. given #4459 (H,wt=11): 4799 T(x,y) \ K(x,y) = x \ 1. [hyper(73,a,4753,a,b,983,a)]. given #4460 (H,wt=11): 4811 (x * K(y,x)) * y = y * x. [para(4753(a,2),3713(a,1,1,2))]. given #4461 (H,wt=11): 4812 T(x,y) * K(y,T(x,y)) = x. [para(4753(a,2),3716(a,1,2))]. given #4462 (H,wt=9): 4956 K(x,T(y,x)) = K(x,y). [hyper(17,a,4759,a,b,4812,a)]. given #4463 (H,wt=11): 4836 T(x,y) = 1 / (x \ K(y,x)). [hyper(240,a,3473,a,b,4770,a)]. given #4464 (H,wt=11): 4839 (x * K(y,x)) \ (y * x) = y. [para(4777(a,1),178(a,1,2,2))]. given #4465 (H,wt=11): 4850 T(x,y * K(x,y)) = T(x,y). [para(4777(a,1),3919(a,1,2)),flip(a)]. given #4466 (H,wt=11): 4872 x * (K(y,x) * y) = y * x. [para(4809(a,1),122(a,1,2))]. given #4467 (H,wt=11): 4882 (x * y) / x = K(x,y) * y. [para(4848(a,1),177(a,1,1,2))]. given #4468 (H,wt=11): 4899 K(x,y) = x / ((y * x) / y). [hyper(90,a,4772,a),flip(a)]. given #4469 (H,wt=11): 4957 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4956(a,1,2))]. given #4470 (H,wt=11): 4959 K(x,y / x) = K(x,x \ y). [para(124(a,1),4956(a,1,2)),flip(a)]. given #4471 (H,wt=11): 4960 K(x,(x * y) / x) = K(x,y). [para(176(a,1),4956(a,1,2)),flip(a)]. given #4472 (H,wt=9): 4977 K(x,y) \ 1 = K(y,x). [hyper(240,a,4020,a(flip),b,4960,a(flip)),flip(a)]. given #4473 (H,wt=9): 4978 K(T(x,y),y) = K(x,y). [hyper(4035,a,4977,a)]. given #4474 (H,wt=9): 4979 K(x,y) * K(y,x) = 1. [para(4977(a,1),14(a,1,2))]. given #4475 (H,wt=9): 4980 1 / K(x,y) = K(y,x). [para(4977(a,1),62(a,1,2))]. given #4476 (H,wt=11): 4963 K(x,y * K(x,y)) = K(x,y). [para(4777(a,1),4956(a,1,2)),flip(a)]. given #4477 (H,wt=11): 4972 x / (x * K(y,x)) = K(x,y). [para(4776(a,1),4899(a,2,2)),flip(a)]. given #4478 (H,wt=11): 4981 x * (K(y,z) * K(z,y)) = x. [para(4977(a,1),56(a,1,2,2))]. given #4479 (H,wt=11): 4988 K(x,y) \ x = x * K(y,x). [para(4977(a,1),3401(a,1,2)),flip(a)]. given #4480 (H,wt=11): 4993 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4978(a,1,1))]. given #4481 (H,wt=11): 4994 K(x / y,y) = K(y \ x,y). [para(124(a,1),4978(a,1,1)),flip(a)]. given #4482 (H,wt=11): 5000 K(x * K(y,x),y) = K(x,y). [para(4777(a,1),4978(a,1,1)),flip(a)]. given #4483 (H,wt=12): 4763 x / K(y,x) != z | T(x,y) = z. [para(4746(a,2),298(a,1,2)),flip(b)]. given #4484 (H,wt=12): 4778 K(x,y) != z | x \ T(x,y) = z. [para(4746(a,2),3920(a,1))]. given #4485 (H,wt=12): 4785 K(x,y) \ y != z | T(y,x) = z. [para(4750(a,2),250(a,1,1)),flip(b)]. given #4486 (H,wt=12): 4803 x * K(x,y) != z | T(x,y) = z. [para(4753(a,2),224(a,1,2)),flip(b)]. given #4487 (H,wt=12): 4810 K(x,y) * x != z | T(x,y) = z. [para(4753(a,2),3246(a,1,1))]. given #4488 (H,wt=12): 4822 T(x,y) \ x != z | K(y,x) = z. [para(4759(a,1),241(a,1,2)),flip(b)]. given #4489 (H,wt=12): 4833 x / T(x,y) != z | K(y,x) = z. [para(4769(a,1),299(a,1,1)),flip(b)]. given #4490 (H,wt=12): 4858 T(x,y) != x * z | K(x,y) = z. [para(4800(a,2),19(a,1))]. given #4491 (H,wt=12): 4860 x \ T(x,y) != z | K(x,y) = z. [para(4800(a,2),241(a,1,2)),flip(b)]. given #4492 (H,wt=12): 4873 T(x,y) / x != z | K(x,y) = z. [para(4809(a,2),299(a,1,1)),flip(b)]. given #4493 (H,wt=12): 4881 T(x,y) != z | x * K(x,y) = z. [para(4809(a,2),3029(a,1))]. given #4494 (H,wt=12): 4919 T(x * K(y,x),y) != z | z = x. [para(4776(a,1),256(a,1,1))]. given #4495 (H,wt=12): 4982 1 / K(x,y) != z | K(y,x) = z. [para(4977(a,1),298(a,1,2)),flip(b)]. given #4496 (H,wt=12): 4989 K(x,T(y,x)) != z | K(x,y) = z. [para(4977(a,1),4029(a,1))]. given #4497 (H,wt=12): 4999 K(x,y) \ 1 != z | K(y,x) = z. [para(4978(a,1),4029(a,1,1))]. given #4498 (H,wt=12): 5001 K(x,y) * z != 1 | K(y,x) = z. [para(4979(a,1),19(a,1)),flip(a)]. given #4499 (H,wt=13): 4747 K(x \ (x / y),x) = K(y \ 1,x). [hyper(240,a,3905,a,b,4746,a),flip(a)]. given #4500 (H,wt=13): 4754 x * T(x \ 1,y) = K(x \ 1,y). [hyper(240,a,3903,a(flip),b,4746,a),flip(a)]. given #4501 (H,wt=13): 4766 ((x \ y) \ y) * K(x \ y,x) = x. [para(4746(a,2),313(a,1,2))]. given #4502 (H,wt=13): 4768 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4746(a,2),3095(a,1,2))]. given #4503 (H,wt=13): 4779 x * (K(x,y) * z) = T(x,y) * z. [para(4746(a,2),3916(a,1,2,1))]. given #4504 (H,wt=13): 4780 T(x,y) * (x \ z) = K(x,y) * z. [para(4746(a,2),3917(a,2,1))]. given #4505 (H,wt=13): 4782 x * (T(x,y) \ z) = K(y,x) * z. [para(4746(a,2),4099(a,1,1)),flip(a)]. given #4506 (H,wt=13): 4783 K(x,y) * (T(y,x) * z) = y * z. [para(4746(a,2),4100(a,1,1))]. given #4507 (H,wt=13): 4789 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(240,a,3722,a,b,4753,a)]. given #4508 (H,wt=13): 4796 x * T(x \ 1,y) = K(1 / x,y). [hyper(240,a,1057,a(flip),b,4753,a),flip(a)]. given #4509 (H,wt=13): 4798 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(73,a,4753,a,b,3722,a)]. given #4510 (H,wt=13): 4813 (x \ y) * K(x,x \ y) = y / x. [para(4753(a,2),3715(a,1,2))]. given #4511 (H,wt=10): 5096 K(x,x \ L(x,y,z)) = 1. [hyper(72,a,4630,a(flip),b,4813,a),flip(a)]. given #4512 (H,wt=13): 4814 (T(x,y) * z) / (K(x,y) * z) = x. [para(4753(a,2),3831(a,1,2,1))]. given #4513 (H,wt=13): 4815 K(x,y) * (x * z) = T(x,y) * z. [para(4753(a,2),3833(a,1,1))]. given #4514 (H,wt=13): 4818 K(x,x \ y) * y = x * (y / x). [para(4753(a,2),4149(a,1,1))]. given #4515 (H,wt=13): 4821 (x \ y) * K(x,y / x) = y / x. [para(124(a,1),4759(a,1,1))]. given #4516 (H,wt=13): 4826 ((x \ y) \ y) * K(y / x,x) = x. [para(3947(a,1),4759(a,1,1))]. given #4517 (H,wt=13): 4827 T(x,y) * (x \ y) = y * K(x,y). [para(4759(a,1),4145(a,1,2,2))]. given #4518 (H,wt=13): 4828 x * (y * K(x,y)) = T(x,y) * y. [para(4759(a,1),4148(a,1,2)),flip(a)]. given #4519 (H,wt=13): 4832 K(x,y / x) * (x \ y) = y / x. [para(124(a,1),4769(a,1,2))]. given #4520 (H,wt=13): 4835 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(240,a,3991,a,b,4770,a),flip(a)]. given #4521 (H,wt=13): 4838 T(T(x * K(y,x),z),y) = T(x,z). [para(4777(a,1),38(a,1,1)),flip(a)]. given #4522 (H,wt=13): 4849 T(x \ K(y,x \ 1),y) = x \ 1. [para(3375(a,1),4777(a,1,1))]. given #4523 (H,wt=13): 4869 K(x / y,y) * (x / y) = y \ x. [hyper(387,a,4809,a),flip(a)]. given #4524 (H,wt=13): 4884 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(73,a,4748,a,b,1343,a),flip(a)]. given #4525 (H,wt=13): 4900 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4772(a,1,2,1))]. given #4526 (H,wt=12): 5120 K(x \ L(T(x,y),z,u),x) = 1. [hyper(74,a,4613,a,b,4900,a),flip(a)]. given #4527 (H,wt=13): 4905 K(x \ y,x) * y = (x \ y) * x. [hyper(310,a,4774,a)]. given #4528 (H,wt=9): 5129 T(x,K(y \ x,y)) = x. [hyper(425,a,4905,a)]. given #4529 (H,wt=13): 4906 K(x,x \ y) * ((x \ y) * x) = y. [hyper(240,a,14,a(flip),b,4774,a)]. given #4530 (H,wt=13): 4907 K(x,y / x) * y = x * (y / x). [para(16(a,1),4774(a,1,2))]. given #4531 (H,wt=13): 4913 x / (x / y) = y * K(x / y,y). [hyper(388,a,4776,a)]. given #4532 (H,wt=13): 4917 T(x,y) / (y \ x) = y * K(x,y). [hyper(240,a,1026,a,b,4776,a(flip)),flip(a)]. given #4533 (H,wt=13): 4936 K(x,y) = (1 / y) * ((x * y) / x). [para(4776(a,2),3376(a,1,2)),flip(a)]. given #4534 (H,wt=13): 4940 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4791(a,2,2,1)),flip(a)]. given #4535 (H,wt=13): 4946 K(1 / x,y) / x = T(1 / x,y). [hyper(314,a,4795,a(flip))]. given #4536 (H,wt=13): 4966 K(x,x \ y) * (x \ y) = y / x. [para(14(a,1),4882(a,1,1)),flip(a)]. given #4537 (H,wt=13): 4968 K(x,y) / x = 1 / ((y * x) / y). [hyper(75,a,4899,a,b,1366,a)]. given #4538 (H,wt=13): 4971 x / (y / (y / x)) = K(x,x \ y). [para(3974(a,1),4899(a,2,2)),flip(a)]. given #4539 (H,wt=13): 4974 x \ (y * (x / y)) = K(y,y \ x). [hyper(240,a,101,a,b,4959,a(flip)),flip(a)]. given #4540 (H,wt=13): 4975 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(240,a,4302,a(flip),b,4959,a(flip))]. given #4541 (H,wt=13): 4976 x * K(y,y \ x) = y * (x / y). [para(4959(a,1),264(a,1,2))]. given #4542 (H,wt=9): 5141 T(x,K(y,y \ x)) = x. [hyper(182,a,4976,a,b,4818,a)]. given #4543 (H,wt=13): 4992 T(x,y) \ K(T(x,y),y) = x \ 1. [hyper(73,a,4978,a,b,4795,a(flip))]. given #4544 (H,wt=13): 5005 (x * (y / x)) \ y = K(x \ y,x). [hyper(240,a,102,a,b,4994,a(flip)),flip(a)]. given #4545 (H,wt=13): 5006 x * K(x / y,y) = (y \ x) * y. [para(4994(a,2),263(a,1,2))]. given #4546 (H,wt=13): 5040 T(1 / x,y) * x = K(x \ 1,y). [hyper(415,a,4754,a)]. given #4547 (H,wt=13): 5051 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(553,a,4779,a),flip(a)]. given #4548 (H,wt=13): 5053 x \ (T(x,y) * z) = K(x,y) * z. [hyper(81,a,4779,a)]. given #4549 (H,wt=13): 5054 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(73,a,4795,a,b,4779,a),flip(a)]. given #4550 (H,wt=13): 5057 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(73,a,14,a(flip),b,4779,a),flip(a)]. given #4551 (H,wt=13): 5067 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(73,a,14,a(flip),b,4780,a),flip(a)]. given #4552 (H,wt=13): 5070 (x * y) / (T(x,z) * y) = K(z,x). [hyper(75,a,4145,a(flip),b,4780,a(flip))]. given #4553 (H,wt=13): 5071 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(75,a,979,a(flip),b,4780,a(flip))]. given #4554 (H,wt=13): 5072 K(x,y) \ (y * z) = T(y,x) * z. [hyper(73,a,4145,a(flip),b,4780,a(flip))]. given #4555 (H,wt=13): 5077 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1051,a,4782,a)]. given #4556 (H,wt=13): 5078 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1017,a,4782,a),flip(a)]. given #4557 (H,wt=13): 5079 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(81,a,4782,a)]. given #4558 (H,wt=13): 5082 T(x,y) * (K(y,x) * z) = x * z. [para(4782(a,1),985(a,1,2))]. given #4559 (H,wt=11): 5178 K(x,y) * (K(y,x) * z) = z. [hyper(17,a,4779,a(flip),b,5082,a)]. given #4560 (H,wt=11): 5183 K(x,y) \ z = K(y,x) * z. [hyper(310,a,5178,a),flip(a)]. given #4561 (H,wt=11): 5184 x / (K(y,z) * x) = K(z,y). [hyper(90,a,5178,a)]. given #4562 (H,wt=12): 5209 K(x,y) != z | K(y,x) \ 1 = z. [para(5184(a,1),167(a,1)),flip(b)]. given #4563 (H,wt=13): 5083 (x * y) / (K(z,x) * y) = T(x,z). [para(4782(a,1),986(a,1,2))]. given #4564 (H,wt=13): 5109 T(T(x,x * y) * y,x) = x * y. [para(4815(a,1),4848(a,1,1))]. given #4565 (H,wt=13): 5116 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4884(a,1),2867(a,1,2))]. given #4566 (H,wt=13): 5119 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4776(a,1),4884(a,1,1))]. given #4567 (H,wt=13): 5130 T(K(x \ y,x),y) = K(x \ y,x). [hyper(182,a,4905,a,b,263,a)]. given #4568 (H,wt=13): 5136 1 / (x * K(y,x)) = K(x,y) / x. [para(4776(a,1),4968(a,2,2)),flip(a)]. given #4569 (H,wt=13): 5140 K(x,(x / y) \ 1) = K(x,x \ y). [para(65(a,1),4975(a,1,2,2)),flip(a)]. given #4570 (H,wt=13): 5149 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(240,a,4799,a(flip),b,5051,a)]. given #4571 (H,wt=13): 5152 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1516,a,5054,a)]. given #4572 (H,wt=13): 5167 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(240,a,4799,a(flip),b,5078,a)]. given #4573 (H,wt=13): 5168 K(x,y) * (y \ x) = y \ T(x,y). [hyper(240,a,3924,a(flip),b,5078,a)]. given #4574 (H,wt=13): 5170 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(75,a,4799,a(flip),b,5078,a)]. given #4575 (H,wt=13): 5176 K(x \ y,x) * (x * (y / x)) = y. [hyper(4155,a,5082,a)]. given #4576 (H,wt=13): 5177 K(x,y) * (x / y) = x / T(y,x). [hyper(17,a,4238,a,b,5082,a)]. given #4577 (H,wt=13): 5190 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(401,a,5178,a(flip),b,91,a(flip)),flip(a)]. given #4578 (H,wt=13): 5215 1 / (x \ K(x,y)) = x * K(y,x). [para(5119(a,1),62(a,1,2))]. given #4579 (H,wt=13): 5218 (K(x,y) / x) \ 1 = x * K(y,x). [para(5136(a,1),65(a,1,1))]. given #4580 (H,wt=14): 4767 x \ K(y,x) != z | T(x,y) \ 1 = z. [para(4746(a,2),1000(a,1,2))]. given #4581 (H,wt=14): 4840 (x * y) / x != z | y * K(x,y) = z. [para(4777(a,1),301(a,1,1,2)),flip(b)]. given #4582 (H,wt=14): 4883 (x * y) / x != z | K(x,y) * y = z. [para(4848(a,1),301(a,1,1,2)),flip(b)]. given #4583 (H,wt=14): 4888 K(x,y) / y != z | 1 / T(y,x) = z. [para(4749(a,2),299(a,1,1)),flip(b)]. given #4584 (H,wt=14): 4889 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3661(a,1),4749(a,2,1,2))]. given #4585 (H,wt=14): 4893 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4756(a,2),250(a,1,1)),flip(b)]. given #4586 (H,wt=14): 4895 x * (T(x,y) \ 1) != z | K(y,x) = z. [para(4757(a,2),224(a,1,2)),flip(b)]. given #4587 (H,wt=14): 4896 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4757(a,1),298(a,1,2)),flip(b)]. given #4588 (H,wt=14): 4918 x \ ((y * x) / y) != z | K(y,x) = z. [para(4776(a,2),241(a,1,2)),flip(b)]. given #4589 (H,wt=14): 4920 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4776(a,1),301(a,1))]. given #4590 (H,wt=14): 4927 T(x * K(y * x,x),y) = R(x,y,x). [para(4776(a,1),728(a,2,1)),flip(a)]. given #4591 (H,wt=14): 4937 T(x * K(y,x),y * x) = L(x,y,x). [para(4776(a,1),4191(a,1,1))]. given #4592 (H,wt=14): 4941 x * K(y,x) != z | (y * x) / y = z. [para(4791(a,2),224(a,1,2)),flip(b)]. given #4593 (H,wt=14): 4967 ((x * y) / x) / y != z | K(x,y) = z. [para(4882(a,2),299(a,1,1)),flip(b)]. given #4594 (H,wt=14): 4983 x * (K(y,z) * K(z,y)) != u | u = x. [para(4977(a,1),164(a,1,2,2))]. given #4595 (H,wt=14): 4990 K(x,x \ y) != z | K(x,y / x) = z. [para(4977(a,1),4033(a,1))]. given #4596 (H,wt=14): 5024 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4989(a,1,2))]. given #4597 (H,wt=14): 5060 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4229,a(flip),b,4779,a)]. given #4598 (H,wt=14): 5061 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4178,a(flip),b,4779,a)]. given #4599 (H,wt=14): 5097 T(x \ y,R(y / x,z,u)) = x \ y. [para(4813(a,1),4333(a,1,2,1))]. given #4600 (H,wt=14): 5128 K(x \ L((x \ y) \ y,z,u),x) = 1. [para(123(a,1),5120(a,1,1,2,1))]. given #4601 (H,wt=14): 5191 K(x,y) * z != u | K(y,x) * u = z. [para(5178(a,1),19(a,1)),flip(a)]. given #4602 (H,wt=14): 5192 x * (K(y,z) * u) != u | K(z,y) = x. [para(5178(a,1),20(a,1)),flip(a)]. given #4603 (H,wt=14): 5193 K(x,y) \ z != u | K(y,x) * z = u. [para(5178(a,1),241(a,1,2)),flip(b)]. given #4604 (H,wt=12): 5234 T(x,y) != z | K(x,y) * x = z. [para(4770(a,2),5193(a,1))]. given #4605 (H,wt=14): 5194 x / (K(y,z) * x) != u | K(z,y) = u. [para(5178(a,1),299(a,1,1)),flip(b)]. given #4606 (H,wt=14): 5200 K(x,y) * (K(y,x) * z) != u | u = z. [para(5183(a,1),224(a,1,2))]. given #4607 (H,wt=14): 5211 K(x,y) != z | K(T(y,x),x) \ 1 = z. [para(4956(a,1),5209(a,1))]. given #4608 (H,wt=14): 5231 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3200,a,5060,a)]. given #4609 (H,wt=14): 5232 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(73,a,5060,a(flip),b,3197,a),flip(a)]. given #4610 (H,wt=14): 5233 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3200,a,5061,a)]. given #4611 (H,wt=14): 5235 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),5200(a,1,2)),flip(b)]. given #4612 (H,wt=14): 5239 K(x,y) * (y * x) != z | x * y = z. [para(4774(a,1),5200(a,1,2)),flip(b)]. given #4613 (H,wt=15): 4751 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(240,a,3093,a,b,4746,a),flip(a)]. given #4614 (H,wt=15): 4758 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(4073,a,4746,a(flip)),flip(a)]. given #4615 (H,wt=15): 4773 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4746(a,2),3852(a,2,1))]. given #4616 (H,wt=15): 4781 K(x / y,z) * x = y * T(y \ x,z). [para(4746(a,2),3993(a,1,1))]. given #4617 (H,wt=15): 4787 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4407(a,1),4750(a,2,2))]. given #4618 (H,wt=13): 5259 K(x * K(y,y \ 1),z) = K(x,z). [hyper(240,a,4750,a,b,4787,a)]. given #4619 (H,wt=13): 5261 K(x * K(y \ 1,y),z) = K(x,z). [para(1443(a,1),5259(a,1,1,2))]. given #4620 (H,wt=13): 5264 K(K(x,x \ 1) * y,z) = K(y,z). [para(2913(a,2),5259(a,1,1))]. given #4621 (H,wt=15): 4788 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(401,a,4753,a,b,983,a),flip(a)]. given #4622 (H,wt=15): 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(240,a,3720,a,b,4753,a),flip(a)]. given #4623 (H,wt=15): 4792 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(240,a,3245,a,b,4753,a)]. given #4624 (H,wt=15): 4807 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1788(a,1),4753(a,2,2))]. given #4625 (H,wt=13): 5287 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(240,a,4753,a,b,4807,a)]. given #4626 (H,wt=15): 4819 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4407(a,1),4753(a,2,2))]. given #4627 (H,wt=13): 5289 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(240,a,4753,a,b,4819,a)]. given #4628 (H,wt=13): 5290 K(x,y * K(z,1 / z)) = K(x,y). [para(1437(a,2),5289(a,1,2,2))]. given #4629 (H,wt=13): 5291 K(x,y * K(z \ 1,z)) = K(x,y). [para(1443(a,1),5289(a,1,2,2))]. given #4630 (H,wt=13): 5296 K(x,K(y,y \ 1) * z) = K(x,z). [para(2913(a,2),5289(a,1,2))]. given #4631 (H,wt=13): 5304 K(x,K(y,1 / y) * z) = K(x,z). [para(2910(a,2),5290(a,1,2))]. given #4632 (H,wt=15): 4825 T(1 / x,y) * K(y,x \ 1) = 1 / x. [para(3451(a,1),4759(a,1,2))]. given #4633 (H,wt=15): 4841 T(x * K(y,x),z) * y = y * T(x,z). [para(4777(a,1),191(a,1,2,1)),flip(a)]. given #4634 (H,wt=14): 5312 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4161,a,b,4841,a)]. given #4635 (H,wt=15): 4842 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4777(a,1),214(a,1,1,2,1)),flip(a)]. given #4636 (H,wt=15): 4867 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(421,a,4809,a),flip(a)]. given #4637 (H,wt=15): 4892 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(21,a,4756,a)]. given #4638 (H,wt=15): 4912 x \ T(x * y,y) = y * K(x * y,y). [hyper(4218,a,4776,a)]. given #4639 (H,wt=15): 4914 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(240,a,3462,a(flip),b,4776,a),flip(a)]. given #4640 (H,wt=15): 4953 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3375(a,1),4811(a,1,1))]. given #4641 (H,wt=15): 4958 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4956(a,1,2))]. given #4642 (H,wt=15): 4965 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(75,a,4143,a(flip),b,4882,a(flip))]. given #4643 (H,wt=15): 4991 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4977(a,1),4795(a,2,2)),flip(a)]. given #4644 (H,wt=15): 4995 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(123(a,1),4978(a,1,1))]. given #4645 (H,wt=15): 4998 K(x / (x / y),y \ x) = K(y,y \ x). [para(3976(a,1),4978(a,1,1)),flip(a)]. given #4646 (H,wt=15): 5058 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,3994,a,b,4779,a),flip(a)]. given #4647 (H,wt=15): 5059 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,980,a,b,4779,a)]. given #4648 (H,wt=15): 5068 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(240,a,4779,a,b,4780,a(flip)),flip(a)]. given #4649 (H,wt=15): 5076 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4753(a,2),4780(a,1,2)),flip(a)]. given #4650 (H,wt=15): 5092 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(314,a,4789,a(flip))]. given #4651 (H,wt=15): 5099 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(240,a,4779,a,b,4815,a)]. given #4652 (H,wt=15): 5114 T(x,x \ y) / (y \ x) = x * (y / x). [para(4835(a,1),3753(a,1,1))]. given #4653 (H,wt=15): 5117 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4884(a,1),3998(a,1,2))]. given #4654 (H,wt=15): 5165 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4800(a,2),5077(a,1,2))]. given #4655 (H,wt=15): 5166 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5077(a,1),4782(a,1,2)),flip(a)]. given #4656 (H,wt=15): 5171 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5078(a,2),4782(a,1,2))]. given #4657 (H,wt=15): 5182 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(544,a,5178,a)]. given #4658 (H,wt=15): 5186 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,2160,a,b,5178,a)]. given #4659 (H,wt=15): 5188 K(x,y) * (T(x,z) * K(y,x)) = T(x,z). [hyper(17,a,3197,a(flip),b,5178,a)]. given #4660 (H,wt=15): 5189 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,2160,a(flip),b,5178,a)]. given #4661 (H,wt=15): 5210 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3197(a,2),5184(a,1,2))]. given #4662 (H,wt=15): 5213 T(T(x,y) * (y / x),x) = x * (y / x). [para(4195(a,1),5109(a,1,1,1))]. given #4663 (H,wt=15): 5248 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(240,a,1342,a,b,4773,a(flip)),flip(a)]. given #4664 (H,wt=15): 5249 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4773(a,1,2)),flip(a)]. given #4665 (H,wt=15): 5251 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4776(a,1),4773(a,1,2,1))]. given #4666 (H,wt=15): 5257 x / (y * T(y \ x,z)) = K(z,x / y). [para(4781(a,1),5184(a,1,2))]. given #4667 (H,wt=15): 5262 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2573(a,1),5259(a,1,1))]. given #4668 (H,wt=15): 5263 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2635(a,1),5259(a,1,1)),flip(a)]. given #4669 (H,wt=15): 5265 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2972(a,1),5259(a,1,1))]. given #4670 (H,wt=15): 5266 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2973(a,1),5259(a,1,1)),flip(a)]. given #4671 (H,wt=15): 5267 K(x \ ((y \ 1) \ 1),z) = K(x \ y,z). [para(4077(a,1),5259(a,1,1))]. given #4672 (H,wt=15): 5269 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(2982(a,1),5261(a,1,1))]. given #4673 (H,wt=15): 5270 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4456(a,1),5261(a,1,1)),flip(a)]. given #4674 (H,wt=15): 5292 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2479(a,1),5289(a,1,2))]. given #4675 (H,wt=13): 5362 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(240,a,5287,a(flip),b,5292,a(flip)),flip(a)]. given #4676 (H,wt=13): 5363 K(x,x * (1 / y)) = K(x,y \ x). [para(65(a,1),5362(a,1,2,1)),flip(a)]. given #4677 (H,wt=15): 5293 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2480(a,1),5289(a,1,2))]. given #4678 (H,wt=15): 5294 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2528(a,1),5289(a,1,2))]. given #4679 (H,wt=15): 5295 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2573(a,1),5289(a,1,2))]. given #4680 (H,wt=15): 5297 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2966(a,1),5289(a,1,2))]. given #4681 (H,wt=15): 5298 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2972(a,1),5289(a,1,2))]. given #4682 (H,wt=15): 5300 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2991(a,1),5289(a,1,2))]. given #4683 (H,wt=15): 5302 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3587(a,1),5289(a,1,2))]. given #4684 (H,wt=15): 5306 K(x,(1 / (1 / y)) * z) = K(x,y * z). [para(2982(a,1),5291(a,1,2))]. given #4685 (H,wt=15): 5310 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3551(a,1),5304(a,1,2))]. given #4686 (H,wt=15): 5315 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,413,a,b,4841,a),flip(a)]. given #4687 (H,wt=15): 5328 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4776(a,1),5058(a,1,1))]. given #4688 (H,wt=15): 5333 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(3045,a,5076,a(flip))]. given #4689 (H,wt=15): 5338 T(x,y / x) / (y \ x) = x * (y / x). [para(3928(a,2),5114(a,1,1))]. given #4690 (H,wt=15): 5339 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(240,a,2160,a,b,5165,a)]. given #4691 (H,wt=15): 5353 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(5191,a,5249,a)]. given #4692 (H,wt=15): 5356 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(81,a,5251,a),flip(a)]. given #4693 (H,wt=15): 5357 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(73,a,3191,a(flip),b,5251,a),flip(a)]. given #4694 (H,wt=15): 5370 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(310,a,5353,a),flip(a)]. given #4695 (H,wt=15): 5371 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(240,a,5166,a(flip),b,5353,a(flip))]. given #4696 (H,wt=15): 5374 (x * K(y,x)) * z = K(y,x) * (x * z). [para(4776(a,1),5353(a,2,1)),flip(a)]. given #4697 (H,wt=8): 5386 L(x,y,K(z,y)) = x. [hyper(17,a,3210,a,b,5374,a),flip(a)]. given #4698 (H,wt=8): 5387 a(K(x,y),y,z) = 1. [hyper(34,a,5386,a)]. given #4699 (H,wt=15): 5383 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4776(a,1),5371(a,1,1))]. given #4700 (H,wt=8): 5388 R(x,K(y,x),z) = x. [hyper(4588,a,5383,a)]. given #4701 (H,wt=8): 5389 L(x,K(y,z),z) = x. [hyper(438,a,5383,a)]. given #4702 (H,wt=13): 5393 L(x,K(y,z),z) = L(x,u,K(w,u)). [hyper(240,a,5386,a,b,5389,a)]. given #4703 (H,wt=11): 5396 L(x,y,K(z,y)) != u | u = x. [para(5393(a,1),327(a,1))]. given #4704 (H,wt=11): 5397 L(x,K(y,z),z) != u | u = x. [para(5393(a,2),330(a,1))]. given #4705 (H,wt=16): 4764 T(x,y) * K(y,x) != z * u | x / u = z. [para(4746(a,2),295(a,1,2))]. given #4706 (H,wt=16): 4765 T(x,y) * K(y,x) != z * u | z \ x = u. [para(4746(a,2),376(a,1,2))]. given #4707 (H,wt=16): 4784 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4746(a,2),4102(a,1,1))]. given #4708 (H,wt=16): 4804 x * K(x,y) != z * u | T(x,y) / u = z. [para(4753(a,2),295(a,1,2))]. given #4709 (H,wt=16): 4805 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4753(a,2),376(a,1,2))]. given #4710 (H,wt=16): 4823 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4759(a,1),309(a,1,2))]. given #4711 (H,wt=16): 4824 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4759(a,1),430(a,1,2))]. given #4712 (H,wt=16): 4861 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4800(a,2),106(a,2,2))]. given #4713 (H,wt=16): 4862 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4800(a,2),309(a,1,2))]. given #4714 (H,wt=16): 4926 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4776(a,1),660(a,1,1,1))]. given #4715 (H,wt=16): 4984 K(x,y) * K(y,x) != z * u | z \ 1 = u. [para(4977(a,1),376(a,1,2))]. given #4716 (H,wt=16): 4997 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(741(a,1),4978(a,1,1)),flip(a)]. given #4717 (H,wt=16): 5015 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3903(a,1),4822(a,1))]. given #4718 (H,wt=14): 5406 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4796(a,1),5015(a,1))]. given #4719 (H,wt=14): 5407 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(62(a,1),5406(a,1,1))]. given #4720 (H,wt=16): 5062 T(x,y) * z != x * u | K(x,y) * z = u. [para(4779(a,1),19(a,1))]. given #4721 (H,wt=16): 5063 T(x,y) * z != x * (K(x,y) * u) | z = u. [para(4779(a,2),19(a,2))]. given #4722 (H,wt=16): 5084 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4782(a,1),1017(a,1))]. given #4723 (H,wt=16): 5085 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(4782(a,1),1051(a,1))]. given #4724 (H,wt=16): 5087 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4783(a,1),241(a,1,2)),flip(b)]. given #4725 (H,wt=16): 5089 (x * y) / (T(x,z) * y) != u | K(z,x) = u. [para(4783(a,1),299(a,1,1)),flip(b)]. given #4726 (H,wt=16): 5090 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4783(a,1),310(a,1))]. given #4727 (H,wt=16): 5098 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4814(a,1),226(a,1,1)),flip(b)]. given #4728 (H,wt=16): 5103 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4815(a,1),310(a,1))]. given #4729 (H,wt=16): 5133 (x \ y) * K(x,x \ y) != z | y / x = z. [para(4940(a,1),224(a,1,2)),flip(b)]. given #4730 (H,wt=16): 5138 x * K(y,y \ x) != z | y * (x / y) = z. [para(4974(a,1),224(a,1,2)),flip(b)]. given #4731 (H,wt=16): 5142 x * (y / x) != y * z | K(x,x \ y) = z. [para(4976(a,1),19(a,1))]. given #4732 (H,wt=16): 5148 K(x \ 1,y) != z * x | T(1 / x,y) = z. [para(5040(a,1),20(a,1))]. given #4733 (H,wt=16): 5151 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5053(a,1),1008(a,1))]. given #4734 (H,wt=16): 5154 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5057(a,1),19(a,1))]. given #4735 (H,wt=16): 5156 x * (T(x,y) \ z) != u | K(x,y) \ z = u. [para(5067(a,1),224(a,1,2)),flip(b)]. given #4736 (H,wt=16): 5161 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5077(a,1),224(a,1,2)),flip(b)]. given #4737 (H,wt=16): 5162 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5077(a,1),298(a,1,2)),flip(b)]. given #4738 (H,wt=16): 5179 T(x,y) * z != x * u | K(y,x) * u = z. [para(5082(a,1),19(a,1)),flip(a)]. given #4739 (H,wt=16): 5180 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5082(a,1),241(a,1,2)),flip(b)]. given #4740 (H,wt=16): 5220 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(5152(a,1),20(a,1))]. given #4741 (H,wt=16): 5221 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5167(a,1),299(a,1,1)),flip(b)]. given #4742 (H,wt=16): 5229 (1 / x) * ((y * x) / y) != z | K(y,x) = z. [para(3223(a,2),4918(a,1))]. given #4743 (H,wt=16): 5230 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(4746(a,1),4941(a,1,2))]. given #4744 (H,wt=16): 5240 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4783(a,1),5200(a,1,2)),flip(b)]. given #4745 (H,wt=16): 5241 K(x,x \ y) * (x \ y) != z | y / x = z. [para(4900(a,1),5200(a,1,2)),flip(b)]. given #4746 (H,wt=16): 5244 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(73,a,5233,a(flip),b,4779,a),flip(a)]. given #4747 (H,wt=16): 5246 T(x,y) \ z != u | K(x,y) \ (x \ z) = u. [para(5078(a,1),5235(a,1))]. given #4748 (H,wt=16): 5260 K(x * K(y,y \ 1),z) != u | K(x,z) = u. [para(4787(a,2),4833(a,1))]. given #4749 (H,wt=14): 5427 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2485(a,1),5260(a,1,1))]. given #4750 (H,wt=12): 5436 T(K(x,y),x) != z | K(x,y) = z. [para(2628(a,2),5427(a,1))]. given #4751 (H,wt=14): 5434 K(x \ 1,y) != z | K(1 / x,y) = z. [para(65(a,1),5427(a,1,1,1))]. given #4752 (H,wt=14): 5437 T(K(x,y),T(x,z)) != u | K(x,y) = u. [para(3044(a,2),5436(a,1))]. given #4753 (H,wt=16): 5288 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(4807(a,2),4860(a,1))]. given #4754 (H,wt=16): 5314 T(x * K(x \ y,x),y) = L(x,x \ y,x). [hyper(18,a,595,a,b,4841,a)]. given #4755 (H,wt=14): 5439 T(x / (x / y),x) = L(y,y \ x,y). [para(4735(a,2),5314(a,1,1))]. given #4756 (H,wt=16): 5413 x * (y * K(x,y)) != z | T(x,y) * y = z. [para(3191(a,1),5098(a,1,2))]. given #4757 (H,wt=16): 5417 (x \ y) * K(x,y / x) != z | y / x = z. [para(4959(a,2),5133(a,1,2))]. given #4758 (H,wt=16): 5419 (x * y) / x != z | T(x,y) * (x \ y) = z. [para(4882(a,2),5151(a,1))]. given #4759 (H,wt=16): 5420 T(x,y) * y != z | x * ((x * y) / x) = z. [para(4772(a,1),5161(a,1,2))]. given #4760 (H,wt=16): 5422 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5178(a,1),5161(a,1,2))]. given #4761 (H,wt=16): 5425 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2165,a,5244,a)]. given #4762 (H,wt=17): 4744 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4735(a,1),4215(a,1,2))]. given #4763 (H,wt=17): 4830 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3453(a,1),4762(a,2,2)),flip(a)]. given #4764 (H,wt=17): 4843 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4777(a,1),192(a,1,2,1)),flip(a)]. given #4765 (H,wt=17): 4844 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4777(a,1),193(a,1,2,1)),flip(a)]. given #4766 (H,wt=17): 4847 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4777(a,1),2842(a,1,2,2)),flip(a)]. given #4767 (H,wt=15): 5450 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5136(a,1),4847(a,1,1,2))]. given #4768 (H,wt=17): 4851 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4777(a,1),3926(a,1,2,1)),flip(a)]. given #4769 (H,wt=17): 4857 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(240,a,4409,a,b,4800,a(flip))]. given #4770 (H,wt=17): 4866 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4800(a,1),2925(a,2,2))]. given #4771 (H,wt=13): 5453 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(240,a,2925,a(flip),b,4866,a(flip))]. given #4772 (H,wt=17): 4886 T((x * y) / x,z) \ T(y,z) = K(T(y,z),x). [para(416(a,1),4748(a,2,1)),flip(a)]. given #4773 (H,wt=17): 4915 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(240,a,3457,a(flip),b,4776,a),flip(a)]. given #4774 (H,wt=17): 4928 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4776(a,1),785(a,1,1))]. given #4775 (H,wt=17): 4929 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4776(a,1),793(a,1,1))]. given #4776 (H,wt=17): 4945 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(4793(a,2),2900(a,1,1))]. given #4777 (H,wt=17): 4962 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(196(a,1),4956(a,1,2)),flip(a)]. given #4778 (H,wt=17): 5017 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(590(a,2),4860(a,1,2))]. given #4779 (H,wt=17): 5032 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(240,a,1938,a,b,4747,a(flip)),flip(a)]. given #4780 (H,wt=15): 5466 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4754(a,1),5032(a,1,1)),flip(a)]. given #4781 (H,wt=15): 5467 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(4792(a,2),5032(a,1,1)),flip(a)]. given #4782 (H,wt=15): 5468 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3022(a,1),5466(a,2,1))]. given #4783 (H,wt=15): 5469 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2841(a,1),5467(a,1,1))]. given #4784 (H,wt=17): 5033 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(240,a,1328,a(flip),b,4747,a(flip)),flip(a)]. given #4785 (H,wt=17): 5034 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(4747(a,1),263(a,1,2)),flip(a)]. given #4786 (H,wt=17): 5035 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4747(a,1),1325(a,2,2))]. given #4787 (H,wt=15): 5476 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(182,a,4781,a,b,5035,a(flip))]. given #4788 (H,wt=17): 5037 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4747(a,1),1539(a,1,1))]. given #4789 (H,wt=13): 5486 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4781,a,b,5037,a)]. given #4790 (H,wt=13): 5487 K(1 / (x / y),z) = K(y / x,z). [hyper(5434,a,5486,a)]. given #4791 (H,wt=13): 5488 K((x / y) \ 1,x) = K(x \ y,x). [hyper(240,a,4994,a(flip),b,5486,a)]. given #4792 (H,wt=13): 5489 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5486(a,1,1,1)),flip(a)]. given #4793 (H,wt=13): 5490 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5486(a,2,1))]. given #4794 (H,wt=13): 5491 K((x \ y) / y,z) = K(x \ 1,z). [para(62(a,1),5486(a,1,1,1)),flip(a)]. given #4795 (H,wt=13): 5493 K(x \ (y \ x),x) = K(y \ 1,x). [para(62(a,1),5488(a,1,1,1)),flip(a)]. given #4796 (H,wt=16): 5492 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5487(a,1),5406(a,1))]. given #4797 (H,wt=16): 5495 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5489(a,2),5434(a,1))]. given #4798 (H,wt=16): 5499 K(x \ y,x) != z | K((x / y) \ 1,x) = z. [para(4994(a,1),5492(a,1))]. given #4799 (H,wt=17): 5052 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [hyper(544,a,4779,a),flip(a)]. given #4800 (H,wt=17): 5055 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(73,a,270,a(flip),b,4779,a)]. given #4801 (H,wt=17): 5056 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(73,a,122,a(flip),b,4779,a),flip(a)]. given #4802 (H,wt=17): 5065 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2160(a,1),4779(a,1,2))]. given #4803 (H,wt=16): 5500 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(73,a,5231,a(flip),b,5065,a),flip(a)]. given #4804 (H,wt=17): 5086 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4753(a,2),4782(a,1,2)),flip(a)]. given #4805 (H,wt=17): 5093 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1267(a,1),4789(a,2,1)),flip(a)]. given #4806 (H,wt=17): 5095 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(240,a,1531,a(flip),b,4796,a(flip)),flip(a)]. given #4807 (H,wt=17): 5101 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(73,a,122,a(flip),b,4815,a)]. given #4808 (H,wt=17): 5132 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4302(a,1),4907(a,1,1))]. given #4809 (H,wt=17): 5139 K(x * y,(x * y) \ y) = K(x * y,x \ 1). [para(13(a,1),4975(a,1,2,2))]. given #4810 (H,wt=17): 5146 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(75,a,549,a(flip),b,5040,a),flip(a)]. given #4811 (H,wt=17): 5163 ((x \ y) \ y) * (K(x \ y,x) * z) = x * z. [para(5077(a,1),313(a,1,2))]. given #4812 (H,wt=17): 5164 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4759(a,1),5077(a,1,2)),flip(a)]. given #4813 (H,wt=17): 5242 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5232(a,2),224(a,1,2)),flip(b)]. given #4814 (H,wt=17): 5250 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(14(a,1),4773(a,1,2,1,1))]. given #4815 (H,wt=17): 5253 K((x * y) / x,z) * (x * y) = x * T(y,z). [para(13(a,1),4781(a,2,2,1))]. given #4816 (H,wt=17): 5255 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(62(a,1),4781(a,1,1,1)),flip(a)]. given #4817 (H,wt=17): 5268 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4402(a,2),5259(a,1,1))]. given #4818 (H,wt=15): 5513 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(4906(a,1),5268(a,1,1,2)),flip(a)]. given #4819 (H,wt=17): 5271 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4455(a,2),5261(a,1,1))]. given #4820 (H,wt=17): 5301 K(x,y * (z * K(u,u \ 1))) = K(x,y * z). [para(3160(a,1),5289(a,1,2))]. given #4821 (H,wt=17): 5303 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4402(a,2),5289(a,1,2))]. given #4822 (H,wt=17): 5305 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4395(a,1),5290(a,1,2))]. given #4823 (H,wt=17): 5307 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4455(a,2),5291(a,1,2))]. given #4824 (H,wt=17): 5308 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4460(a,1),5296(a,1,2))]. given #4825 (H,wt=17): 5311 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4811,a,b,4841,a),flip(a)]. given #4826 (H,wt=17): 5317 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(240,a,4882,a(flip),b,4842,a),flip(a)]. given #4827 (H,wt=17): 5318 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(73,a,4842,a,b,4776,a(flip))]. given #4828 (H,wt=17): 5321 T(x * K(y * x,x),y) != z | R(x,y,x) = z. [para(4912(a,1),4556(a,1,1))]. given #4829 (H,wt=17): 5325 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5058(a,1,1,1)),flip(a)]. given #4830 (H,wt=17): 5327 (x / (x / y)) \ z = K(y,y \ x) * (y \ z). [para(3974(a,1),5058(a,1,1))]. given #4831 (H,wt=17): 5330 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(240,a,4779,a,b,5059,a),flip(a)]. given #4832 (H,wt=17): 5335 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(240,a,4776,a(flip),b,5092,a),flip(a)]. given #4833 (H,wt=17): 5337 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5114(a,2,2))]. given #4834 (H,wt=15): 5536 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5337(a,1,1,2))]. given #4835 (H,wt=13): 5537 T(x,y) / ((y * x) \ x) = x * y. [para(3919(a,1),5536(a,1,1))]. given #4836 (H,wt=13): 5538 T(x,y) = (x * y) * ((y * x) \ x). [para(5537(a,1),16(a,1,1)),flip(a)]. given #4837 (H,wt=13): 5539 (x * y) \ T(x,y) = (y * x) \ x. [para(5537(a,1),65(a,1,1))]. given #4838 (H,wt=17): 5352 (x / (x / y)) \ (y * z) = K(y,y \ x) * z. [para(3974(a,1),5248(a,1,1))]. given #4839 (H,wt=17): 5354 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5249(a,1,2,1,1))]. given #4840 (H,wt=17): 5372 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5353(a,2,1,1))]. given #4841 (H,wt=17): 5373 K(x \ y,x) * (x * z) = (y / (y / x)) * z. [para(3974(a,1),5353(a,2,1))]. given #4842 (H,wt=17): 5378 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(14(a,1),5370(a,1,1,1))]. given #4843 (H,wt=17): 5379 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(3974(a,1),5370(a,1,1))]. given #4844 (H,wt=17): 5380 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5371(a,1,1,1)),flip(a)]. given #4845 (H,wt=17): 5382 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3974(a,1),5371(a,1,1))]. given #4846 (H,wt=15): 5566 (x / (x / y)) * x = y * ((y \ x) * y). [para(4905(a,1),5382(a,2,2))]. given #4847 (H,wt=17): 5384 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4815(a,1),5371(a,2,2))]. given #4848 (H,wt=17): 5385 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5177(a,1),5371(a,2,2))]. given #4849 (H,wt=17): 5451 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5450(a,1),122(a,1,2)),flip(a)]. given #4850 (H,wt=17): 5457 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(240,a,2877,a(flip),b,4915,a),flip(a)]. given #4851 (H,wt=15): 5571 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4884(a,1),5457(a,1,1))]. given #4852 (H,wt=17): 5470 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5468(a,1),4980(a,1,2)),flip(a)]. given #4853 (H,wt=17): 5477 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(75,a,5035,a(flip),b,411,a)]. given #4854 (H,wt=17): 5498 (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). [para(5491(a,1),5006(a,1,2)),flip(a)]. given #4855 (H,wt=17): 5501 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(240,a,5383,a,b,5065,a(flip)),flip(a)]. given #4856 (H,wt=16): 5572 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(73,a,5231,a(flip),b,5501,a)]. given #4857 (H,wt=17): 5502 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3203,a,5086,a)]. given #4858 (H,wt=17): 5504 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(75,a,4002,a,b,5132,a)]. given #4859 (H,wt=17): 5508 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(3197(a,1),5242(a,1))]. given #4860 (H,wt=17): 5521 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2910(a,2),5305(a,1,2,2))]. given #4861 (H,wt=17): 5530 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5191,a,5325,a)]. given #4862 (H,wt=17): 5535 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3451(a,1),5335(a,2,1))]. given #4863 (H,wt=13): 5576 T(K(x,y \ 1) / y,x) = 1 / y. [para(5535(a,1),4777(a,1,1))]. given #4864 (H,wt=17): 5542 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5235,a,5354,a)]. given #4865 (H,wt=17): 5544 (x / y) * (K(y \ x,y) * z) = (y \ x) * z. [hyper(17,a,5099,a,b,5354,a)]. given #4866 (H,wt=17): 5570 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4776(a,1),5457(a,1,1,1))]. given #4867 (H,wt=17): 5575 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(3451(a,1),5535(a,1,2))]. given #4868 (H,wt=18): 4760 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4746(a,2,1)),flip(a)]. given #4869 (H,wt=18): 4761 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4746(a,2,1)),flip(a)]. given #4870 (H,wt=18): 4801 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4753(a,2,2)),flip(a)]. given #4871 (H,wt=18): 4802 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4753(a,2,2)),flip(a)]. given #4872 (H,wt=18): 4845 x * T(y,z) != u * x | T(y * K(x,y),z) = u. [para(4777(a,1),373(a,1,2,1))]. given #4873 (H,wt=18): 4859 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4800(a,2),30(a,2,2)),flip(a)]. given #4874 (H,wt=18): 4870 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(240,a,40,a,b,4809,a(flip))]. given #4875 (H,wt=14): 5585 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(18,a,4622,a,b,4870,a)]. given #4876 (H,wt=16): 5587 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(4870(a,1),4810(a,1))]. given #4877 (H,wt=18): 4871 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(4809(a,2),28(a,2,2,2)),flip(a)]. given #4878 (H,wt=18): 4890 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4752(a,2),28(a,2,2,2)),flip(a)]. given #4879 (H,wt=18): 4902 x / ((y * x) / y) != z * u | K(x,y) / u = z. [para(4772(a,1),306(a,1,1))]. given #4880 (H,wt=18): 4922 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4776(a,1),119(a,1,1))]. given #4881 (H,wt=18): 4923 x \ ((y * x) / y) != z * u | z \ K(y,x) = u. [para(4776(a,2),309(a,1,2))]. given #4882 (H,wt=18): 4925 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4776(a,1),488(a,1,1))]. given #4883 (H,wt=18): 4930 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4776(a,1),881(a,1,1,1))]. given #4884 (H,wt=18): 4933 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4776(a,1),1624(a,2,1)),flip(a)]. given #4885 (H,wt=18): 4942 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4791(a,2),376(a,1,2))]. given #4886 (H,wt=18): 4948 T(x,y) * (x \ 1) != z * u | z \ K(x,y) = u. [para(4799(a,1),376(a,1,2))]. given #4887 (H,wt=18): 4996 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(624(a,1),4978(a,1,1))]. given #4888 (H,wt=18): 5011 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3019(a,1),4803(a,1,2))]. given #4889 (H,wt=18): 5018 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2042(a,2),4860(a,1,2))]. given #4890 (H,wt=16): 5593 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2684(a,1),5018(a,1))]. given #4891 (H,wt=18): 5019 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3851(a,2),4860(a,1))]. given #4892 (H,wt=16): 5595 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(5095(a,1),5019(a,1))]. given #4893 (H,wt=16): 5597 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(3019(a,1),5595(a,1))]. given #4894 (H,wt=14): 5598 K(x \ y,x) != z | K(y / x,x) = z. [para(5488(a,1),5597(a,1))]. given #4895 (H,wt=18): 5020 x \ T(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(3997(a,2),4860(a,1,2))]. given #4896 (H,wt=13): 5599 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5020,a,4753,a(flip)),flip(a)]. given #4897 (H,wt=13): 5601 K(x,y / (z * y)) = K(x,1 / z). [hyper(240,a,3451,a,b,5599,a)]. given #4898 (H,wt=13): 5603 K(x,(y \ z) / z) = K(x,y \ 1). [para(14(a,1),5599(a,1,2,2))]. given #4899 (H,wt=13): 5604 K(x,(y / z) \ 1) = K(x,z / y). [para(16(a,1),5599(a,1,2,2)),flip(a)]. given #4900 (H,wt=13): 5605 K(x,1 / (y / z)) = K(x,z / y). [para(16(a,1),5601(a,1,2,2)),flip(a)]. given #4901 (H,wt=16): 5600 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(4753(a,2),5020(a,1))]. given #4902 (H,wt=14): 5610 K(x,1 / y) != z | K(x,y \ 1) = z. [para(12(a,1),5600(a,1,2,2))]. given #4903 (H,wt=16): 5611 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(14(a,1),5600(a,1,2,2))]. given #4904 (H,wt=16): 5612 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(16(a,1),5600(a,1,2,2))]. given #4905 (H,wt=18): 5025 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(40(a,2),4989(a,1,2))]. given #4906 (H,wt=18): 5026 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4989(a,1,2))]. given #4907 (H,wt=18): 5118 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4181(a,1),4884(a,1,1)),flip(a)]. given #4908 (H,wt=18): 5198 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(5178(a,1),544(a,1))]. given #4909 (H,wt=18): 5201 K(x,y) * (z * K(y,x)) != u | T(z,K(y,x)) = u. [para(5183(a,1),254(a,1))]. given #4910 (H,wt=18): 5203 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5183(a,1),309(a,1))]. given #4911 (H,wt=18): 5227 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1442(a,2),4889(a,2,1))]. given #4912 (H,wt=18): 5228 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(1354(a,1),4918(a,1))]. given #4913 (H,wt=14): 5618 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4790(a,1),5228(a,1))]. given #4914 (H,wt=14): 5619 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(65(a,1),5618(a,1,2))]. given #4915 (H,wt=16): 5620 K(x,y / z) != u | K(x,1 / (z / y)) = u. [para(5604(a,1),5618(a,1))]. given #4916 (H,wt=18): 5254 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(4781(a,1),20(a,1))]. given #4917 (H,wt=18): 5258 x / (y * T(y \ x,z)) != u | K(z,x / y) = u. [para(4781(a,1),5194(a,1,2))]. given #4918 (H,wt=18): 5299 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2983(a,1),5289(a,1,2)),flip(a)]. given #4919 (H,wt=18): 5316 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5312(a,1),38(a,1,1)),flip(a)]. given #4920 (H,wt=18): 5331 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(5068(a,1),241(a,1,2)),flip(b)]. given #4921 (H,wt=18): 5334 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5076(a,2),3045(a,1))]. given #4922 (H,wt=18): 5343 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5166(a,1),310(a,1))]. given #4923 (H,wt=18): 5349 T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. [para(5182(a,1),19(a,1))]. given #4924 (H,wt=18): 5368 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5333(a,1),19(a,1))]. given #4925 (H,wt=18): 5394 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5389(a,1),230(a,1,2))]. given #4926 (H,wt=18): 5398 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(3723(a,2),4823(a,1))]. given #4927 (H,wt=18): 5401 K(x,y) * K(y,x) != z * u | T(z,u) = u \ 1. [para(122(a,1),4984(a,2)),flip(b)]. given #4928 (H,wt=18): 5410 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(4104(a,2),5090(a,1))]. given #4929 (H,wt=18): 5415 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(4753(a,2),5103(a,1,2))]. given #4930 (H,wt=18): 5418 (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. [para(4753(a,1),5151(a,1,1))]. given #4931 (H,wt=18): 5421 T(x,y) * (x * z) != u | x * (T(x,y) * z) = u. [para(4783(a,1),5161(a,1,2))]. given #4932 (H,wt=18): 5424 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(122(a,1),5240(a,1,2))]. given #4933 (H,wt=18): 5426 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(2479(a,1),5260(a,1,1))]. given #4934 (H,wt=18): 5428 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(2573(a,1),5260(a,1,1))]. given #4935 (H,wt=18): 5429 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(2574(a,1),5260(a,1,1))]. given #4936 (H,wt=18): 5430 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(2972(a,1),5260(a,1,1))]. given #4937 (H,wt=18): 5431 K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. [para(2973(a,1),5260(a,1,1))]. given #4938 (H,wt=18): 5432 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(2991(a,1),5260(a,1,1))]. given #4939 (H,wt=18): 5433 K(x \ ((y \ 1) \ 1),z) != u | K(x \ y,z) = u. [para(4077(a,1),5260(a,1,1))]. given #4940 (H,wt=18): 5440 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(5439(a,2),40(a,2,1)),flip(a)]. given #4941 (H,wt=18): 5441 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(62(a,1),5439(a,1,1,2)),flip(a)]. given #4942 (H,wt=18): 5444 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5425(a,1,1,1)),flip(a)]. given #4943 (H,wt=18): 5452 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4857(a,1),4803(a,1))]. given #4944 (H,wt=18): 5621 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(240,a,42,a,b,5316,a)]. given #4945 (H,wt=18): 5623 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5356(a,2),5331(a,1))]. given #4946 (H,wt=18): 5624 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4776(a,2),5394(a,1,1))]. given #4947 (H,wt=18): 5625 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5374(a,1),5394(a,1))]. given #4948 (H,wt=18): 5630 K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. [para(65(a,1),5433(a,1,1,2,1))]. given #4949 (H,wt=19): 4738 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(240,a,3375,a(flip),b,4735,a),flip(a)]. given #4950 (H,wt=19): 4916 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(73,a,4776,a,b,985,a)]. given #4951 (H,wt=19): 4952 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(3022(a,1),4811(a,1,1,2))]. given #4952 (H,wt=19): 5030 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2231,a,4747,a)]. given #4953 (H,wt=17): 5634 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4754(a,1),5030(a,1,1))]. given #4954 (H,wt=17): 5635 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4792(a,2),5030(a,1,1)),flip(a)]. given #4955 (H,wt=17): 5637 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3022(a,1),5634(a,1,1)),flip(a)]. given #4956 (H,wt=19): 5031 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(240,a,2211,a,b,4747,a(flip)),flip(a)]. given #4957 (H,wt=17): 5640 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4754(a,1),5031(a,1,1))]. given #4958 (H,wt=17): 5641 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4796(a,1),5031(a,1,1))]. given #4959 (H,wt=17): 5644 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3022(a,1),5640(a,1,1)),flip(a)]. given #4960 (H,wt=17): 5647 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(240,a,3019,a,b,5641,a)]. given #4961 (H,wt=19): 5039 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(974,a,4754,a)]. given #4962 (H,wt=17): 5651 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(544,a,5039,a)]. given #4963 (H,wt=19): 5041 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4754(a,1),690(a,2,2))]. given #4964 (H,wt=19): 5042 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4754(a,1),856(a,1,2))]. given #4965 (H,wt=19): 5043 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4754(a,1),870(a,2,2))]. given #4966 (H,wt=19): 5044 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4754(a,1),1140(a,1,1))]. given #4967 (H,wt=19): 5046 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4754(a,1),1395(a,2,1))]. given #4968 (H,wt=19): 5066 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(240,a,3032,a,b,4780,a)]. given #4969 (H,wt=19): 5080 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(75,a,4427,a(flip),b,4782,a(flip)),flip(a)]. given #4970 (H,wt=19): 5110 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(75,a,4513,a,b,4818,a)]. given #4971 (H,wt=19): 5111 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4826(a,1),4649(a,1,1)),flip(a)]. given #4972 (H,wt=19): 5147 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(240,a,270,a(flip),b,5040,a(flip))]. given #4973 (H,wt=19): 5199 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(240,a,3202,a,b,5183,a)]. given #4974 (H,wt=19): 5272 K(x * (y / (1 / z)),u) = K(x * (y / (z \ 1)),u). [para(4499(a,1),5264(a,1,1)),flip(a)]. given #4975 (H,wt=19): 5276 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(240,a,2187,a(flip),b,4790,a(flip)),flip(a)]. given #4976 (H,wt=19): 5277 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(240,a,1812,a(flip),b,4790,a(flip)),flip(a)]. given #4977 (H,wt=15): 5667 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4790(a,1),5277(a,1,1)),flip(a)]. given #4978 (H,wt=15): 5668 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3449(a,1),5667(a,2,1))]. given #4979 (H,wt=12): 5673 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5668(a,1),3060(a,1,2,1))]. given #4980 (H,wt=13): 5672 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(240,a,5470,a(flip),b,5668,a(flip)),flip(a)]. given #4981 (H,wt=13): 5674 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(240,a,2845,a(flip),b,5672,a(flip)),flip(a)]. given #4982 (H,wt=15): 5669 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(3451(a,2),5667(a,2,1))]. given #4983 (H,wt=15): 5676 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5674(a,1),4752(a,2,2)),flip(a)]. given #4984 (H,wt=15): 5678 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(5618,a,5669,a)]. given #4985 (H,wt=15): 5680 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [hyper(5191,a,5676,a)]. given #4986 (H,wt=11): 5682 K(K(x,y),z) = K(z,K(y,x)). [hyper(17,a,4800,a(flip),b,5680,a),flip(a)]. given #4987 (H,wt=13): 5683 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5209,a,5682,a)]. given #4988 (H,wt=13): 5684 x * K(K(y,z),x) = T(x,K(z,y)). [para(5682(a,2),4800(a,2,2)),flip(a)]. given #4989 (H,wt=11): 5690 T(T(x,K(y,z)),K(z,y)) = x. [hyper(4920,a,5684,a)]. given #4990 (H,wt=11): 5694 T(K(x,y),K(x,z)) = K(x,y). [para(2158(a,1),5690(a,1,1))]. given #4991 (H,wt=11): 5695 T(K(x,y),K(z,y)) = K(x,y). [para(2159(a,1),5690(a,1,1))]. given #4992 (H,wt=14): 5688 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5683(a,1),4999(a,1))]. given #4993 (H,wt=14): 5692 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5684(a,1),4919(a,1,1))]. given #4994 (H,wt=10): 5699 T(x,K(y,x)) != z | z = x. [para(3024(a,1),5692(a,1,1))]. given #4995 (H,wt=13): 5703 T(x,L(K(y,x),z,u)) != w | w = x. [para(5644(a,1),5699(a,1,2))]. given #4996 (H,wt=14): 5698 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(2158(a,1),5692(a,1,1)),flip(b)]. given #4997 (H,wt=14): 5700 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(5694(a,1),5692(a,1,1)),flip(b)]. given #4998 (H,wt=14): 5701 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(5695(a,1),5692(a,1,1)),flip(b)]. given #4999 (H,wt=15): 5681 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [para(3453(a,1),5678(a,2,1))]. given #5000 (H,wt=15): 5685 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5682(a,1),4809(a,2,1)),flip(a)]. given #5001 (H,wt=15): 5689 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5133,a,5684,a),flip(a)]. given #5002 (H,wt=15): 5691 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5684(a,1),4811(a,1,1))]. given #5003 (H,wt=15): 5697 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5695(a,1),122(a,1,2))]. given #5004 (H,wt=15): 5702 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(1517(a,1),5699(a,1)),flip(b)]. given #5005 (H,wt=16): 5686 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5682(a,1),4999(a,1,1))]. given #5006 (H,wt=14): 5706 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4977(a,1),5686(a,1))]. given #5007 (H,wt=17): 5705 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4784,a,5697,a)]. given #5008 (H,wt=17): 5708 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(240,a,4916,a,b,5705,a(flip)),flip(a)]. given #5009 (H,wt=18): 5677 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5674(a,1),4895(a,1,2))]. given #5010 (H,wt=18): 5679 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5669(a,1),5618(a,1))]. given #5011 (H,wt=18): 5693 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5684(a,1),4937(a,1,1))]. given #5012 (H,wt=18): 5696 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5694(a,1),231(a,1,2))]. given #5013 (H,wt=17): 5711 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5696,a,4780,a(flip)),flip(a)]. given #5014 (H,wt=18): 5707 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4991(a,2),5706(a,1))]. given #5015 (H,wt=19): 5280 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1807(a,1,2))]. given #5016 (H,wt=19): 5309 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4498(a,1),5296(a,1,2)),flip(a)]. given #5017 (H,wt=19): 5358 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(973(a,1),5257(a,1,2))]. given #5018 (H,wt=19): 5359 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1533(a,1),5257(a,1,2))]. given #5019 (H,wt=19): 5367 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(240,a,65,a,b,5333,a),flip(a)]. given #5020 (H,wt=19): 5391 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5388(a,1),477(a,1,1,1)),flip(a)]. given #5021 (H,wt=19): 5445 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5425(a,1),2161(a,1))]. given #5022 (H,wt=19): 5473 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1206,a,5035,a)]. given #5023 (H,wt=19): 5474 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(695,a,5035,a),flip(a)]. given #5024 (H,wt=19): 5494 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5489(a,1),5006(a,1,2)),flip(a)]. given #5025 (H,wt=19): 5503 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(908(a,1),5095(a,1,1)),flip(a)]. given #5026 (H,wt=19): 5505 ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). [para(5139(a,1),4813(a,1,2))]. given #5027 (H,wt=19): 5506 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5139(a,1),4966(a,1,1))]. given #5028 (H,wt=19): 5511 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2971(a,1),5268(a,1,1,2))]. given #5029 (H,wt=19): 5514 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2745(a,1),5271(a,1,1,1)),flip(a)]. given #5030 (H,wt=19): 5515 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2766(a,1),5271(a,1,1,1))]. given #5031 (H,wt=19): 5516 K((x * (1 / y)) \ z,u) = K((x * (y \ 1)) \ z,u). [para(2969(a,1),5271(a,1,1,1))]. given #5032 (H,wt=19): 5517 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2971(a,1),5271(a,1,1,1))]. given #5033 (H,wt=19): 5520 K(x,y \ (((z \ 1) \ 1) \ u)) = K(x,y \ (z \ u)). [para(2745(a,1),5303(a,1,2,2)),flip(a)]. given #5034 (H,wt=19): 5522 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2766(a,1),5307(a,1,2,1))]. given #5035 (H,wt=19): 5526 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5311(a,1),4742(a,1,1))]. given #5036 (H,wt=19): 5528 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4735(a,2),5318(a,1,2,1))]. given #5037 (H,wt=19): 5551 ((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z). [para(5354(a,1),5163(a,1,2))]. given #5038 (H,wt=19): 5557 (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. [hyper(73,a,5352,a,b,5378,a)]. given #5039 (H,wt=19): 5563 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4815(a,1),5380(a,1,2))]. given #5040 (H,wt=19): 5582 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(5575(a,1),4428(a,1,2))]. given #5041 (H,wt=19): 5606 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5601(a,1),4821(a,1,2))]. given #5042 (H,wt=19): 5617 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5228,a,1808,a),flip(a)]. given #5043 (H,wt=19): 5645 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4977(a,1),5640(a,1,1,1)),flip(a)]. given #5044 (H,wt=19): 5658 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(73,a,5046,a(flip),b,839,a)]. given #5045 (H,wt=19): 5661 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5044(a,2),5046(a,1,2))]. given #5046 (H,wt=19): 5664 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5276(a,1),16(a,1,1))]. given #5047 (H,wt=19): 5687 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5682(a,1),4815(a,1,1))]. given #5048 (H,wt=19): 5713 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4559(a,1),5358(a,1,2))]. given #5049 (H,wt=19): 5716 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5473(a,1),14(a,1,2))]. given #5050 (H,wt=19): 5717 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(14(a,1),5511(a,2,1,2))]. given #5051 (H,wt=19): 5726 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(240,a,5280,a,b,5664,a)]. given #5052 (H,wt=19): 5730 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(5474(a,1),5716(a,1,2)),flip(a)]. given #5053 (H,wt=20): 4846 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4777(a,1),607(a,1,2,1)),flip(a)]. given #5054 (H,wt=20): 4875 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4809(a,2),189(a,1,1))]. given #5055 (H,wt=20): 4876 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(4809(a,2),501(a,1,1))]. given #5056 (H,wt=20): 4894 L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. [para(4756(a,2),2541(a,2,1,2))]. given #5057 (H,wt=20): 4924 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4776(a,2),469(a,1,2))]. given #5058 (H,wt=20): 4931 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4776(a,1),786(a,1,1))]. given #5059 (H,wt=20): 5002 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(4988(a,1),108(a,1,1))]. given #5060 (H,wt=20): 5009 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3453(a,1),4763(a,1,2))]. given #5061 (H,wt=20): 5104 K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. [para(4815(a,2),517(a,1))]. given #5062 (H,wt=20): 5153 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(5054(a,1),430(a,1,2))]. given #5063 (H,wt=20): 5196 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5178(a,1),108(a,2,2))]. given #5064 (H,wt=20): 5202 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5183(a,1),235(a,1,1))]. given #5065 (H,wt=20): 5206 K(x,y) * (K(y,x) * z) != u * w | T(u,w) = w \ z. [para(5183(a,1),371(a,1))]. given #5066 (H,wt=20): 5236 K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. [para(2700(a,1),5200(a,1,2)),flip(b)]. given #5067 (H,wt=20): 5237 K(x,x \ 1) * (x \ y) != z | (1 / (1 / x)) \ y = z. [para(2772(a,1),5200(a,1,2)),flip(b)]. given #5068 (H,wt=20): 5256 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4781(a,1),183(a,2)),flip(a)]. given #5069 (H,wt=20): 5286 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(4792(a,1),4778(a,1))]. given #5070 (H,wt=20): 5313 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1737,a,b,4841,a)]. given #5071 (H,wt=20): 5319 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4842(a,2),4840(a,1))]. given #5072 (H,wt=20): 5320 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4842(a,2),4918(a,1,2))]. given #5073 (H,wt=20): 5381 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5371(a,1),792(a,1,1))]. given #5074 (H,wt=20): 5399 x \ ((x \ 1) \ 1) != y * z | y \ K(x,1 / x) = z. [para(1419(a,1),4862(a,1,2))]. given #5075 (H,wt=20): 5403 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1323(a,1),5015(a,1))]. given #5076 (H,wt=20): 5411 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(122(a,1),5098(a,1,2))]. given #5077 (H,wt=20): 5412 x * (K(y,x) * K(x,z)) != u | T(x,z) * K(y,x) = u. [para(2160(a,1),5098(a,1,2))]. given #5078 (H,wt=20): 5435 K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. [para(2441(a,1),5427(a,1,1))]. given #5079 (H,wt=20): 5447 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4811,a,b,4843,a),flip(a)]. given #5080 (H,wt=14): 5747 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(17,a,4649,a(flip),b,5447,a)]. given #5081 (H,wt=18): 5746 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(17,a,4653,a(flip),b,5447,a)]. given #5082 (H,wt=20): 5448 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4811,a,b,4844,a),flip(a)]. given #5083 (H,wt=20): 5458 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(75,a,4928,a,b,4882,a(flip))]. given #5084 (H,wt=20): 5459 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4928(a,2),4899(a,2,2)),flip(a)]. given #5085 (H,wt=20): 5461 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(73,a,4929,a,b,4776,a(flip))]. given #5086 (H,wt=20): 5463 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4929(a,2),4748(a,2,1)),flip(a)]. given #5087 (H,wt=20): 5527 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5318(a,1),224(a,1,2)),flip(b)]. given #5088 (H,wt=20): 5553 K(x,x \ y) \ ((y / x) * z) != u | (x \ y) * z = u. [para(5372(a,1),241(a,1,2)),flip(b)]. given #5089 (H,wt=20): 5565 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5382(a,2),87(a,1,2)),flip(b)]. given #5090 (H,wt=20): 5579 (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. [para(5544(a,1),241(a,1,2)),flip(b)]. given #5091 (H,wt=20): 5590 (1 / x) * ((y * x) / y) != z * u | z \ K(y,x) = u. [para(3223(a,2),4923(a,1))]. given #5092 (H,wt=20): 5594 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),5593(a,1,2,2))]. given #5093 (H,wt=20): 5596 K((x / y) \ 1,x / y) != z | K(y / x,x / y) = z. [para(1506(a,1),5595(a,1))]. given #5094 (H,wt=20): 5607 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(469(a,1),5603(a,1,2,1)),flip(a)]. given #5095 (H,wt=20): 5632 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(240,a,2411,a,b,5030,a(flip)),flip(a)]. given #5096 (H,wt=20): 5648 L(K(1 / x,y),z,u) != w | K(1 / L(x,z,u),y) = w. [para(5641(a,2),5434(a,1))]. given #5097 (H,wt=20): 5671 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5667(a,1),4803(a,1,2))]. given #5098 (H,wt=20): 5735 T(x,y) / L(z,x / z,K(x,y)) = K(y,x) \ (x / z). [hyper(240,a,5183,a,b,4876,a)]. given #5099 (H,wt=20): 5745 (x * K(y,x)) * K(x,z) != u | T(x,z) * K(y,x) = u. [para(5383(a,2),5412(a,1))]. given #5100 (H,wt=20): 5749 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(5747(a,1),5647(a,1,1)),flip(a)]. given #5101 (H,wt=20): 5755 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(240,a,5647,a(flip),b,5749,a)]. given #5102 (H,wt=21): 4806 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4753(a,2),1159(a,1,1))]. given #5103 (H,wt=21): 4864 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4800(a,2),472(a,2,2))]. given #5104 (H,wt=21): 4878 (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. [para(4809(a,2),438(a,2,2))]. given #5105 (H,wt=21): 4879 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4809(a,2),472(a,2,2))]. given #5106 (H,wt=21): 4880 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4809(a,2),769(a,1,2))]. given #5107 (H,wt=21): 4911 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4255,a,4776,a),flip(a)]. given #5108 (H,wt=21): 4954 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4811(a,1),4053(a,1,1,2))]. given #5109 (H,wt=17): 5756 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4850(a,1),4954(a,1,2))]. given #5110 (H,wt=15): 5757 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(240,a,4828,a(flip),b,5756,a)]. given #5111 (H,wt=21): 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4822(a,1,1))]. given #5112 (H,wt=21): 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4822(a,1,1))]. given #5113 (H,wt=21): 5016 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4860(a,1,2))]. given #5114 (H,wt=21): 5036 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4747(a,1),1327(a,1,2))]. given #5115 (H,wt=21): 5105 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(192(a,1),4815(a,1,2))]. given #5116 (H,wt=21): 5106 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(193(a,1),4815(a,1,2))]. given #5117 (H,wt=21): 5131 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4905(a,1),2134(a,2,2))]. given #5118 (H,wt=21): 5185 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(17,a,3580,a,b,5178,a)]. given #5119 (H,wt=21): 5187 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(17,a,679,a,b,5178,a)]. given #5120 (H,wt=21): 5204 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5183(a,1),547(a,1,2))]. given #5121 (H,wt=21): 5217 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(5119(a,1),4795(a,2,2)),flip(a)]. given #5122 (H,wt=21): 5219 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3019(a,2),5136(a,2,1))]. given #5123 (H,wt=19): 5761 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3462(a,1),5219(a,1,2)),flip(a)]. given #5124 (H,wt=21): 5243 T(x,x * y) * K(y,x) != z * u | z \ L(x,y,x) = u. [para(5232(a,2),376(a,1,2))]. given #5125 (H,wt=21): 5273 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1197,a,4790,a)]. given #5126 (H,wt=17): 5763 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5273(a,1,2,2,1))]. given #5127 (H,wt=21): 5278 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1194(a,2,2))]. given #5128 (H,wt=19): 5764 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5278(a,1,2,1))]. given #5129 (H,wt=21): 5279 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1672(a,2,1))]. given #5130 (H,wt=21): 5285 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4792(a,2),1385(a,2,1))]. given #5131 (H,wt=21): 5329 K(x \ y,x) * ((y / x) \ z) = ((x * (y / x)) / x) \ z. [para(4994(a,1),5058(a,2,1)),flip(a)]. given #5132 (H,wt=21): 5360 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3481(a,1),5263(a,1,1,2))]. given #5133 (H,wt=21): 5361 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5136(a,1),5265(a,1,1,1)),flip(a)]. given #5134 (H,wt=19): 5766 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5119(a,1),5361(a,1,1,1)),flip(a)]. given #5135 (H,wt=21): 5364 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3669(a,1),5362(a,1,2,1))]. given #5136 (H,wt=21): 5392 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5388(a,1),479(a,1,1,1)),flip(a)]. given #5137 (H,wt=21): 5438 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(3008(a,2),5434(a,1))]. given #5138 (H,wt=21): 5446 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4744(a,2),4018(a,1,1))]. given #5139 (H,wt=21): 5465 K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). [para(4945(a,1),4442(a,2,2))]. given #5140 (H,wt=21): 5472 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1533(a,1),5033(a,1,2))]. given #5141 (H,wt=21): 5475 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(240,a,973,a(flip),b,5035,a(flip)),flip(a)]. given #5142 (H,wt=21): 5479 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(240,a,925,a(flip),b,5037,a)]. given #5143 (H,wt=21): 5480 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(240,a,902,a(flip),b,5037,a)]. given #5144 (H,wt=21): 5482 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(75,a,925,a(flip),b,5037,a),flip(a)]. given #5145 (H,wt=21): 5485 K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. [hyper(73,a,902,a(flip),b,5037,a)]. given #5146 (H,wt=21): 5507 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5146(a,1),38(a,1,1)),flip(a)]. given #5147 (H,wt=21): 5512 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3695(a,1),5268(a,1,1,2))]. given #5148 (H,wt=21): 5523 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3695(a,1),5307(a,1,2,1))]. given #5149 (H,wt=21): 5532 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5325(a,1,2))]. given #5150 (H,wt=21): 5556 K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. [para(4975(a,1),5372(a,1,1))]. given #5151 (H,wt=21): 5560 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(278,a,5380,a),flip(a)]. given #5152 (H,wt=15): 5771 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5565,a,5560,a(flip)),flip(a)]. given #5153 (H,wt=15): 5772 K(x / y,x / (x / y)) = K(y \ x,y). [hyper(4990,a,5771,a)]. given #5154 (H,wt=21): 5569 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(62(a,1),5385(a,1,2)),flip(a)]. given #5155 (H,wt=21): 5581 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [hyper(282,a,5570,a)]. given #5156 (H,wt=19): 5774 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5119(a,1),5581(a,1,2))]. given #5157 (H,wt=21): 5584 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3661(a,1),4802(a,1,2,1)),flip(a)]. given #5158 (H,wt=13): 5776 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(240,a,53,a(flip),b,5584,a)]. given #5159 (H,wt=21): 5586 L(T(x,y),z,u) != w * L(x,z,u) | K(L(x,z,u),y) = w. [para(4870(a,1),20(a,1))]. given #5160 (H,wt=21): 5616 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3536(a,2),5227(a,2,1,2))]. given #5161 (H,wt=21): 5639 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5637(a,1),5183(a,1,1)),flip(a)]. given #5162 (H,wt=21): 5646 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5467(a,1),5640(a,1,1)),flip(a)]. given #5163 (H,wt=21): 5649 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5644(a,1),5183(a,1,1)),flip(a)]. given #5164 (H,wt=21): 5652 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(240,a,1544,a(flip),b,5039,a(flip)),flip(a)]. given #5165 (H,wt=15): 5778 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(240,a,5093,a(flip),b,5652,a(flip))]. given #5166 (H,wt=21): 5653 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(864(a,1),5039(a,1,2))]. given #5167 (H,wt=21): 5656 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3284(a,1),5044(a,1,1))]. given #5168 (H,wt=19): 5782 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(2792,a,5656,a),flip(a)]. given #5169 (H,wt=21): 5657 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(5149(a,1),5044(a,2,2,1))]. given #5170 (H,wt=21): 5662 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5492,a,5080,a)]. given #5171 (H,wt=21): 5714 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4569(a,1),5359(a,1,2))]. given #5172 (H,wt=21): 5719 (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). [hyper(2183,a,5551,a),flip(a)]. given #5173 (H,wt=21): 5721 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3284(a,1),5658(a,1,2,1)),flip(a)]. given #5174 (H,wt=17): 5784 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(240,a,5658,a(flip),b,5721,a)]. given #5175 (H,wt=21): 5728 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [hyper(240,a,5604,a,b,5713,a)]. given #5176 (H,wt=21): 5733 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4884(a,1),5726(a,1,1,2))]. given #5177 (H,wt=17): 5785 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5733(a,2,2,2,1))]. given #5178 (H,wt=21): 5740 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(240,a,4074,a(flip),b,5202,a(flip))]. given #5179 (H,wt=21): 5750 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(456(a,1),5746(a,1,2)),flip(a)]. given #5180 (H,wt=21): 5762 K(x,y) * T(y,y * x) != z * u | z \ L(y,x,y) = u. [para(3197(a,1),5243(a,1))]. given #5181 (H,wt=21): 5767 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3199(a,1),5392(a,1,1))]. given #5182 (H,wt=21): 5769 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4571,a,5475,a),flip(a)]. given #5183 (H,wt=17): 5787 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(13(a,1),5769(a,1,2,1,1)),flip(a)]. given #5184 (H,wt=21): 5780 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(81,a,5653,a),flip(a)]. given #5185 (H,wt=21): 5783 ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). [hyper(240,a,2598,a,b,5719,a(flip)),flip(a)]. given #5186 (H,wt=21): 5790 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5780(a,1),14(a,1,2))]. given #5187 (H,wt=17): 5791 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5778(a,1),5790(a,1,2,2))]. given #5188 (H,wt=22): 4891 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4752(a,2),107(a,1,2,2)),flip(a)]. given #5189 (H,wt=22): 4897 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),T(y,z) \ 1). [para(4757(a,1),203(a,1,2))]. given #5190 (H,wt=22): 4908 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(4774(a,1),28(a,2,1)),flip(a)]. given #5191 (H,wt=22): 4943 x * (T(x,y) \ K(z,x)) != u | T(x,y) \ ((z * x) / z) = u. [para(4791(a,2),1017(a,1,2,2))]. given #5192 (H,wt=22): 4949 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1737,a,b,4811,a)]. given #5193 (H,wt=22): 5074 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4780(a,1,2)),flip(a)]. given #5194 (H,wt=22): 5102 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4815(a,2,1))]. given #5195 (H,wt=22): 5115 (x * T(y,z)) / x != u * w | u \ T(y * K(x,y),z) = w. [para(4838(a,1),583(a,1,1,2))]. given #5196 (H,wt=22): 5144 (x * y) * R(1 / x,x,y) = y * K(x * y,(x * y) \ y). [para(172(a,2),4976(a,2,2)),flip(a)]. given #5197 (H,wt=20): 5796 (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). [para(5139(a,1),5144(a,2,2))]. given #5198 (H,wt=22): 5157 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),5070(a,1,2,1))]. given #5199 (H,wt=22): 5158 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5071(a,1,2,1))]. given #5200 (H,wt=22): 5160 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5077(a,1,1))]. given #5201 (H,wt=22): 5212 T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. [para(5083(a,1),387(a,1,1))]. given #5202 (H,wt=22): 5223 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5177(a,1),148(a,1,2,1))]. given #5203 (H,wt=22): 5322 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(75,a,1304,a(flip),b,4953,a),flip(a)]. given #5204 (H,wt=22): 5402 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(839(a,1),5015(a,1))]. given #5205 (H,wt=22): 5404 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2212(a,1),5015(a,1))]. given #5206 (H,wt=20): 5798 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4754(a,1),5404(a,1,1))]. given #5207 (H,wt=22): 5405 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2232(a,1),5015(a,1))]. given #5208 (H,wt=22): 5416 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5079(a,1),5103(a,1,2))]. given #5209 (H,wt=22): 5442 K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. [para(2692(a,2),5422(a,1))]. given #5210 (H,wt=22): 5510 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5255(a,2),183(a,2)),flip(a)]. given #5211 (H,wt=22): 5519 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). [para(2983(a,1),5301(a,1,2,2)),flip(a)]. given #5212 (H,wt=22): 5568 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5384(a,1),97(a,1,1)),flip(a)]. given #5213 (H,wt=15): 5799 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(240,a,186,a(flip),b,5568,a)]. given #5214 (H,wt=17): 5800 a(x \ y,T(x,x \ y),z) = a(y / x,x,z). [para(14(a,1),5799(a,1,1,1)),flip(a)]. given #5215 (H,wt=22): 5577 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5535(a,1),4927(a,1,1))]. given #5216 (H,wt=22): 5626 T(x,y) * K(x,1 / x) != z | x * (T(x,y) * (1 / x)) = z. [para(201(a,2),5421(a,1,2))]. given #5217 (H,wt=22): 5627 K(x * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. [para(2850(a,1),5426(a,1,1,2))]. given #5218 (H,wt=22): 5629 K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. [para(2850(a,1),5432(a,1,1,1))]. given #5219 (H,wt=18): 5802 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5468(a,1),5629(a,1))]. given #5220 (H,wt=22): 5636 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5634(a,1),118(a,1,1))]. given #5221 (H,wt=22): 5642 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5640(a,1),106(a,1,2))]. given #5222 (H,wt=22): 5654 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(5041(a,1),231(a,1))]. given #5223 (H,wt=22): 5718 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2709(a,1),5515(a,1,1,1)),flip(a)]. given #5224 (H,wt=22): 5731 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(5726(a,2),19(a,1))]. given #5225 (H,wt=22): 5732 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(5726(a,1),20(a,1))]. given #5226 (H,wt=22): 5801 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5262(a,1),5577(a,1,1,1))]. given #5227 (H,wt=22): 5806 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(240,a,4396,a(flip),b,5801,a)]. given #5228 (H,wt=23): 4834 K(x,y) * z != y * L(u,T(y,x),K(x,y)) | T(y,x) * u = z. [para(4769(a,1),439(a,1,1)),flip(a)]. given #5229 (H,wt=23): 4865 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(4800(a,2),947(a,2,2,1))]. given #5230 (H,wt=23): 4898 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4757(a,1),1971(a,1,2,1))]. given #5231 (H,wt=23): 4909 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(106(a,1),4774(a,1,2))]. given #5232 (H,wt=23): 4921 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(118(a,1),4776(a,1,1))]. given #5233 (H,wt=23): 4934 ((x * K(y * z,x)) * y) * z != u | (y * z) * R(x,y,z) = u. [para(4776(a,1),1193(a,1,1,1))]. given #5234 (H,wt=23): 4947 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4795(a,2),449(a,1,2,2))]. given #5235 (H,wt=23): 4955 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4811(a,1),4575(a,1,2)),flip(a)]. given #5236 (H,wt=19): 5810 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4952(a,1),4955(a,1,2)),flip(a)]. given #5237 (H,wt=23): 4964 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(75,a,895,a,b,4882,a(flip))]. given #5238 (H,wt=23): 4985 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(4977(a,1),1801(a,2,2,1))]. given #5239 (H,wt=23): 5113 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4835(a,1),3066(a,1,1))]. given #5240 (H,wt=23): 5214 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5116(a,1),191(a,1,2,1))]. given #5241 (H,wt=21): 5813 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(240,a,5711,a(flip),b,5214,a)]. given #5242 (H,wt=23): 5245 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5233(a,1),28(a,2,2,2)),flip(a)]. given #5243 (H,wt=23): 5252 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(75,a,838,a(flip),b,4781,a)]. given #5244 (H,wt=23): 5365 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(240,a,5270,a,b,5293,a)]. given #5245 (H,wt=23): 5366 ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). [para(3019(a,1),5328(a,2,1))]. given #5246 (H,wt=21): 5816 K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. [para(5535(a,1),5366(a,1,1)),flip(a)]. given #5247 (H,wt=23): 5414 T(x,y) * ((x \ 1) * z) != u | K(x,y) * L(z,x \ 1,x) = u. [para(399(a,1),5103(a,1,2))]. given #5248 (H,wt=23): 5456 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(4842(a,2),4886(a,1,1,1))]. given #5249 (H,wt=23): 5460 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4928(a,2),4967(a,1,1))]. given #5250 (H,wt=23): 5464 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(4929(a,2),4918(a,1,2))]. given #5251 (H,wt=23): 5471 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(839(a,1),5033(a,1,2))]. given #5252 (H,wt=23): 5478 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3924(a,2),5035(a,2,2,1,1))]. given #5253 (H,wt=21): 5817 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(240,a,1935,a(flip),b,5478,a(flip))]. given #5254 (H,wt=23): 5483 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(75,a,839,a(flip),b,5037,a)]. given #5255 (H,wt=23): 5518 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4576(a,1),5271(a,1,1,1))]. given #5256 (H,wt=23): 5524 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4499(a,1),5307(a,1,2,1)),flip(a)]. given #5257 (H,wt=23): 5525 K(x,y * (((1 / z) \ u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). [para(4576(a,1),5308(a,1,2,2))]. given #5258 (H,wt=23): 5529 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5035(a,2),5318(a,1,2,1))]. given #5259 (H,wt=23): 5573 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(3599(a,1),5521(a,1,2,2))]. given #5260 (H,wt=23): 5591 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4933(a,2),4187(a,1,1))]. given #5261 (H,wt=23): 5638 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5635(a,1),5634(a,1,1)),flip(a)]. given #5262 (H,wt=23): 5655 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5042(a,2),1545(a,1,1))]. given #5263 (H,wt=21): 5822 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(53(a,1),5655(a,2,2,2,1,2))]. given #5264 (H,wt=19): 5824 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4754(a,1),5822(a,2,2))]. given #5265 (H,wt=17): 5825 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [hyper(75,a,4759,a(flip),b,5824,a),flip(a)]. given #5266 (H,wt=17): 5828 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(81,a,5825,a)]. given #5267 (H,wt=17): 5829 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(240,a,3118,a,b,5828,a(flip)),flip(a)]. given #5268 (H,wt=17): 5830 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5829(a,1,2,2))]. given #5269 (H,wt=17): 5831 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5434,a,5830,a)]. given #5270 (H,wt=17): 5832 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(240,a,5147,a(flip),b,5830,a(flip)),flip(a)]. given #5271 (H,wt=15): 5836 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(18,a,5040,a,b,5832,a),flip(a)]. given #5272 (H,wt=19): 5826 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(15(a,1),5824(a,1,1,1))]. given #5273 (H,wt=19): 5833 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(5831(a,1),4813(a,1,2))]. given #5274 (H,wt=19): 5834 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5831(a,1),4976(a,1,2)),flip(a)]. given #5275 (H,wt=19): 5838 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(81,a,5826,a)]. given #5276 (H,wt=19): 5839 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(240,a,3071,a(flip),b,5834,a(flip))]. given #5277 (H,wt=15): 5841 x * K(y,x * (1 / y)) = y * (x / y). [para(65(a,1),5839(a,1,2,1))]. given #5278 (H,wt=13): 5842 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,4976,a,b,5841,a)]. given #5279 (H,wt=17): 5845 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(62(a,1),5842(a,1,2,2)),flip(a)]. given #5280 (H,wt=19): 5843 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(62(a,1),5841(a,1,2,2,2)),flip(a)]. given #5281 (H,wt=19): 5846 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(240,a,2993,a(flip),b,5843,a(flip))]. given #5282 (H,wt=19): 5847 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(5654,a,5846,a)]. given #5283 (H,wt=20): 5840 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5838(a,1),966(a,1,1)),flip(a)]. given #5284 (H,wt=22): 5835 K(x \ 1,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. [para(5831(a,1),5241(a,1,1))]. given #5285 (H,wt=17): 5848 (K(x * y,y \ 1) / y) \ x = x / (1 / y). [hyper(5835,a,5816,a),flip(a)]. given #5286 (H,wt=23): 5660 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(864(a,1),5046(a,1,2))]. given #5287 (H,wt=23): 5663 x / (K(y,z * (u / (w \ 1))) * x) = K(z * (u / (1 / w)),y). [hyper(240,a,5184,a,b,5272,a),flip(a)]. given #5288 (H,wt=22): 5849 K(x * (y / (1 / z)),u) != w | K(x * (y / (z \ 1)),u) = w. [para(5663(a,1),5194(a,1))]. given #5289 (H,wt=23): 5666 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2083(a,1),5276(a,1,1))]. given #5290 (H,wt=23): 5724 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5661(a,1,2,1,1))]. given #5291 (H,wt=19): 5851 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5724(a,2,1,1))]. given #5292 (H,wt=19): 5852 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5851(a,1,2,2)),flip(a)]. given #5293 (H,wt=19): 5855 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(75,a,5852,a,b,xx)]. given #5294 (H,wt=23): 5725 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3022(a,1),5661(a,1,2,1))]. given #5295 (H,wt=19): 5857 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3022(a,1),5725(a,2,1))]. given #5296 (H,wt=19): 5859 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),5857(a,1,2,2)),flip(a)]. given #5297 (H,wt=19): 5865 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(5859(a,1),5184(a,1,2))]. given #5298 (H,wt=19): 5866 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5178(a,1),5865(a,1,2,2))]. given #5299 (H,wt=22): 5864 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(5859(a,2),199(a,1,2))]. given #5300 (H,wt=20): 5868 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5098,a,5864,a),flip(a)]. given #5301 (H,wt=20): 5869 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5178(a,1),5868(a,1,1)),flip(a)]. given #5302 (H,wt=23): 5729 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4977(a,1),5716(a,1,2,2,1,1,2))]. given #5303 (H,wt=23): 5748 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(5447(a,1),19(a,1))]. given #5304 (H,wt=23): 5759 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4201,a,5105,a(flip)),flip(a)]. given #5305 (H,wt=23): 5760 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4202,a,5106,a(flip)),flip(a)]. given #5306 (H,wt=23): 5768 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3709(a,1),5472(a,1,2)),flip(a)]. given #5307 (H,wt=23): 5770 T(x,x \ y) \ T(z,x \ y) = x \ ((y / x) \ (z * (x \ y))). [hyper(73,a,5532,a(flip),b,4782,a),flip(a)]. given #5308 (H,wt=23): 5779 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5035(a,1),5652(a,1,1))]. given #5309 (H,wt=23): 5781 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(65(a,1),5653(a,1,2,2,1,2)),flip(a)]. given #5310 (H,wt=23): 5807 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(4788(a,1),4865(a,1,2,1))]. given #5311 (H,wt=19): 5876 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(383,a,5807,a)]. given #5312 (H,wt=23): 5809 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1733,a,4921,a),flip(a)]. given #5313 (H,wt=22): 5877 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4997(a,1),5809(a,1,2)),flip(a)]. given #5314 (H,wt=20): 5878 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(240,a,4911,a(flip),b,5877,a)]. given #5315 (H,wt=23): 5812 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(240,a,2995,a(flip),b,5113,a)]. given #5316 (H,wt=19): 5880 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(240,a,5114,a(flip),b,5812,a(flip))]. given #5317 (H,wt=21): 5881 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [hyper(240,a,4976,a,b,5880,a)]. given #5318 (H,wt=23): 5814 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5813(a,1),3620(a,1,2))]. given #5319 (H,wt=15): 5882 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2978,a,5814,a)]. given #5320 (H,wt=23): 5815 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5255(a,1),5252(a,1,1,2)),flip(a)]. given #5321 (H,wt=23): 5860 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5857(a,1,2,2))]. given #5322 (H,wt=23): 5863 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [hyper(240,a,175,a(flip),b,5859,a)]. given #5323 (H,wt=23): 5870 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5035(a,2),5729(a,1,2))]. given #5324 (H,wt=23): 5871 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5474(a,1),5729(a,1,2)),flip(a)]. given #5325 (H,wt=23): 5884 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5814(a,1),4672(a,1,2))]. given #5326 (H,wt=23): 5885 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(81,a,5870,a)]. given #5327 (H,wt=23): 5888 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5885(a,1),4531(a,1,1))]. given #5328 (H,wt=23): 5889 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5888(a,1,1,2,1)),flip(a)]. given #5329 (H,wt=24): 4938 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4776(a,1),4255(a,1))]. given #5330 (H,wt=24): 4950 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(4811(a,1),24(a,2,1,2)),flip(a)]. given #5331 (H,wt=24): 5143 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4976(a,1),28(a,2,1)),flip(a)]. given #5332 (H,wt=24): 5195 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5178(a,1),108(a,2,1))]. given #5333 (H,wt=22): 5892 x \ (K(y \ 1,y) * z) != u | (K(y,y \ 1) * x) \ z = u. [para(5195(a,1),3571(a,1))]. given #5334 (H,wt=24): 5197 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5178(a,1),118(a,1,2))]. given #5335 (H,wt=24): 5205 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5183(a,1),312(a,1,1,3))]. given #5336 (H,wt=24): 5222 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5177(a,1),106(a,1,1))]. given #5337 (H,wt=24): 5238 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3692(a,2),5200(a,1,2)),flip(b)]. given #5338 (H,wt=24): 5342 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5166(a,1),118(a,2,1))]. given #5339 (H,wt=24): 5449 (x * R(y,z,u)) / x != w * v5 | w \ R(y * K(x,y),z,u) = v5. [para(4844(a,1),523(a,1,1))]. given #5340 (H,wt=24): 5562 (x \ y) * (K(x,x \ y) * z) != u * w | u \ ((y / x) * z) = w. [para(5380(a,2),517(a,1))]. given #5341 (H,wt=24): 5628 K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. [para(2873(a,2),5426(a,1,1,2))]. given #5342 (H,wt=24): 5643 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1698(a,1),5640(a,1,1)),flip(a)]. given #5343 (H,wt=21): 5893 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(240,a,332,a(flip),b,5643,a)]. given #5344 (H,wt=15): 5895 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1069(a,1),5893(a,1,2))]. given #5345 (H,wt=20): 5896 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,5895,a)]. given #5346 (H,wt=20): 5897 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,5896,a)]. given #5347 (H,wt=22): 5898 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1071(a,2),5897(a,1,1))]. given #5348 (H,wt=23): 5899 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5898(a,1),3893(a,1,2)),flip(a)]. given #5349 (H,wt=19): 5900 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(240,a,2379,a(flip),b,5899,a)]. given #5350 (H,wt=17): 5901 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1071(a,1),5900(a,1,1))]. given #5351 (H,wt=24): 5737 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5000(a,2),5002(a,1,2))]. given #5352 (H,wt=24): 5743 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(973(a,1),5403(a,1,2))]. given #5353 (H,wt=24): 5765 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5278(a,1),2081(a,1,1)),flip(a)]. given #5354 (H,wt=24): 5788 x * K((x \ (y * z)) \ 1,y) != u | ((y \ (x / z)) * y) * z = u. [para(5769(a,2),4562(a,1))]. given #5355 (H,wt=24): 5789 (x * y) * ((z \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). [para(5787(a,1),4614(a,2,2))]. given #5356 (H,wt=24): 5797 (x * T(x \ y,z)) * (y \ 1) != u | K((x * (y \ 1)) \ 1,z) = u. [para(1544(a,1),5402(a,1))]. given #5357 (H,wt=24): 5818 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(5817(a,1),19(a,1))]. given #5358 (H,wt=24): 5879 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5878(a,1,1,1)),flip(a)]. given #5359 (H,wt=20): 5906 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4193(a,1),5879(a,1,1)),flip(a)]. given #5360 (H,wt=18): 5907 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(240,a,4135,a(flip),b,5906,a)]. given #5361 (H,wt=24): 5891 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5178(a,1),5143(a,1,2,2)),flip(a)]. given #5362 (H,wt=24): 5902 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(5768(a,2),5743(a,1))]. given #5363 (H,wt=24): 5903 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4611(a,2),5765(a,1,2))]. given #5364 (H,wt=21): 5908 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(230,a,5903,a)]. given #5365 (H,wt=17): 5909 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(4000(a,1),5908(a,1,2)),flip(a)]. given #5366 (H,wt=17): 5916 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3449(a,1),5909(a,1,1,2))]. given #5367 (H,wt=13): 5918 (x * K(y,z)) * y = x * T(y,z). [para(2916(a,1),5916(a,2,2))]. given #5368 (H,wt=8): 5919 R(x,K(y,z),y) = x. [hyper(4879,a,5918,a)]. given #5369 (H,wt=8): 5920 L(x,K(x,y),z) = x. [hyper(4878,a,5918,a)]. given #5370 (H,wt=12): 5941 L(T(x,y),K(x,z),u) = T(x,y). [para(5920(a,1),40(a,2,1))]. given #5371 (H,wt=13): 5924 (x * T(y,z)) / y = x * K(y,z). [hyper(90,a,5918,a)]. given #5372 (H,wt=13): 5925 (1 / x) * K(x,y) = K(x,y) / x. [hyper(75,a,4793,a,b,5918,a),flip(a)]. given #5373 (H,wt=13): 5926 (x / T(y,z)) * K(y,z) = x / y. [hyper(75,a,16,a(flip),b,5918,a),flip(a)]. given #5374 (H,wt=13): 5928 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1251,a,b,5918,a),flip(a)]. given #5375 (H,wt=13): 5929 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1246,a,b,5918,a)]. given #5376 (H,wt=8): 5967 R(x,y,K(y,z)) = x. [hyper(4864,a,5929,a)]. given #5377 (H,wt=10): 5974 L(K(x,y),x,z) = K(x,y). [hyper(17,a,4861,a,b,5929,a),flip(a)]. given #5378 (H,wt=12): 5988 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(240,a,4977,a,b,5974,a)]. given #5379 (H,wt=13): 5930 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4235,a(flip),b,5918,a)]. given #5380 (H,wt=13): 5956 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(81,a,5928,a)]. given #5381 (H,wt=13): 5971 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(81,a,5929,a)]. given #5382 (H,wt=13): 5993 L(K(x,y),x,z) != u | K(x,y) = u. [para(5988(a,2),4999(a,1))]. given #5383 (H,wt=13): 5994 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(81,a,5930,a),flip(a)]. given #5384 (H,wt=15): 5921 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(401,a,xx,b,5918,a),flip(a)]. given #5385 (H,wt=15): 5923 x * T(y * K(x,z),x) = y * T(x,z). [hyper(232,a,5918,a)]. given #5386 (H,wt=15): 5937 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [para(5152(a,1),5918(a,1,1))]. given #5387 (H,wt=15): 5940 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(240,a,5737,a(flip),b,5920,a(flip)),flip(a)]. given #5388 (H,wt=15): 5955 x * T(x \ y,z) = y * K(x \ y,z). [hyper(542,a,5928,a)]. given #5389 (H,wt=13): 6007 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5510,a,5955,a),flip(a)]. given #5390 (H,wt=11): 6031 K((x \ y) \ y,y) = K(x,y). [hyper(240,a,3189,a(flip),b,6007,a)]. given #5391 (H,wt=11): 6035 K(x / y,x) = K(y \ x,x). [para(65(a,1),6031(a,1,1,1)),flip(a)]. given #5392 (H,wt=13): 6009 T(K(x / y,z),x) = K(y \ x,z). [hyper(5256,a,5955,a)]. given #5393 (H,wt=13): 6018 K((x * y) \ x,z) = K(y \ 1,z). [hyper(17,a,5041,a(flip),b,5955,a(flip))]. given #5394 (H,wt=13): 6019 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(17,a,5035,a(flip),b,5955,a(flip)),flip(a)]. given #5395 (H,wt=13): 6033 K(T(x,x \ y),z) = T(K(x,z),y). [para(123(a,2),6007(a,1,1))]. given #5396 (H,wt=13): 6043 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(240,a,648,a(flip),b,6019,a)]. given #5397 (H,wt=13): 6055 T(K(x,y),x * z) = K(T(x,z),y). [para(13(a,1),6033(a,1,1,2)),flip(a)]. given #5398 (H,wt=13): 6056 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(5434,a,6043,a)]. given #5399 (H,wt=14): 6034 K((x \ y) \ y,y) != z | K(x,y) = z. [para(6007(a,2),3213(a,1))]. given #5400 (H,wt=14): 6039 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(171(a,2),6018(a,1,1))]. given #5401 (H,wt=14): 6060 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(5435,a,6039,a)]. given #5402 (H,wt=15): 5959 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(75,a,5928,a(flip),b,5918,a)]. given #5403 (H,wt=15): 5961 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(73,a,5928,a(flip),b,5918,a)]. given #5404 (H,wt=15): 6005 (x * y) / (y * K(z,y)) = x * K(y,z). [para(5940(a,1),62(a,1,2))]. given #5405 (H,wt=15): 6006 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5940(a,1),293(a,1,2))]. given #5406 (H,wt=15): 6008 K(x / y,z) * x = x * K(y \ x,z). [hyper(5410,a,5955,a)]. given #5407 (H,wt=15): 6013 K(x \ (x / y),z) = y * T(y \ 1,z). [hyper(1063,a,5955,a(flip)),flip(a)]. given #5408 (H,wt=15): 6015 (x * K(y \ x,z)) / y = T(x / y,z). [hyper(75,a,5955,a(flip),b,411,a)]. given #5409 (H,wt=15): 6038 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(122(a,1),6018(a,1,1,1)),flip(a)]. given #5410 (H,wt=15): 6048 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6019(a,1),4770(a,2,1))]. given #5411 (H,wt=13): 6086 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(240,a,4770,a,b,6048,a)]. given #5412 (H,wt=13): 6091 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6086(a,1,2,1)),flip(a)]. given #5413 (H,wt=13): 6092 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6086(a,2,2))]. given #5414 (H,wt=14): 6099 T(x,L(y \ 1,y,z)) = T(x,y \ 1). [para(171(a,2),6091(a,1,2))]. given #5415 (H,wt=14): 6103 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(171(a,2),6092(a,1,2,1))]. given #5416 (H,wt=14): 6107 T(x,L(1 / y,y,z)) = T(x,y \ 1). [hyper(240,a,2924,a,b,6099,a(flip)),flip(a)]. given #5417 (H,wt=15): 6049 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6019(a,1),4977(a,1,1)),flip(a)]. given #5418 (H,wt=13): 6111 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(240,a,4977,a(flip),b,6049,a)]. given #5419 (H,wt=13): 6113 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5618,a,6111,a)]. given #5420 (H,wt=13): 6115 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),6111(a,1,2,1)),flip(a)]. given #5421 (H,wt=13): 6116 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6111(a,2,2))]. given #5422 (H,wt=13): 6119 K(x,y \ (y / z)) = K(x,z \ 1). [para(65(a,1),6111(a,1,2,1)),flip(a)]. given #5423 (H,wt=13): 6123 T(x \ y,K(z,y \ x)) = x \ y. [para(6111(a,1),1992(a,1,2))]. given #5424 (H,wt=13): 6130 K(x,1 / (y \ x)) = K(x,y / x). [hyper(240,a,4959,a,b,6113,a)]. given #5425 (H,wt=13): 6131 K(x,(y * z) \ y) = K(x,1 / z). [para(13(a,1),6113(a,1,2,2)),flip(a)]. given #5426 (H,wt=13): 6133 K(x,y \ (y / z)) = K(x,1 / z). [para(65(a,1),6113(a,1,2,2)),flip(a)]. given #5427 (H,wt=15): 6063 (x * y) / ((z * y) / z) = x * K(y,z). [para(4776(a,2),6005(a,1,2))]. given #5428 (H,wt=15): 6066 x / ((y * z) / y) = (x / z) * K(z,y). [para(4776(a,2),6006(a,1,2))]. given #5429 (H,wt=15): 6085 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(240,a,5468,a(flip),b,6038,a(flip))]. given #5430 (H,wt=15): 6094 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6086(a,1,2,1))]. given #5431 (H,wt=15): 6096 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(396,a,6091,a),flip(a)]. given #5432 (H,wt=15): 6098 x / T(x * y,y \ 1) = (x * y) \ x. [para(6091(a,1),209(a,1,2))]. given #5433 (H,wt=15): 6136 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(240,a,5599,a,b,6119,a)]. given #5434 (H,wt=15): 6142 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(240,a,1365,a(flip),b,6063,a(flip)),flip(a)]. given #5435 (H,wt=16): 5927 x / R(y,y \ x,y) = (y \ x) * K(y,x). [hyper(18,a,5907,a,b,5918,a),flip(a)]. given #5436 (H,wt=16): 5931 x * T(y,z) != u * y | x * K(y,z) = u. [para(5918(a,1),20(a,1))]. given #5437 (H,wt=16): 5933 (x * K(y,z)) \ (x * T(y,z)) != u | u = y. [para(5918(a,1),241(a,1,2))]. given #5438 (H,wt=11): 6154 L(x,K(x,y),z) != u | u = x. [para(4871(a,1),5933(a,1))]. given #5439 (H,wt=16): 5950 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5924(a,1),226(a,1,1)),flip(b)]. given #5440 (H,wt=16): 5952 x / y != z * K(y,u) | x / T(y,u) = z. [para(5926(a,1),20(a,1))]. given #5441 (H,wt=16): 5975 (x * y) * z != x * T(y,u) | K(y,u) = z. [para(5929(a,1),19(a,1)),flip(a)]. given #5442 (H,wt=16): 5976 x * T(y,z) != u * K(y,z) | x * y = u. [para(5929(a,1),20(a,1))]. given #5443 (H,wt=16): 5978 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(5929(a,1),307(a,1))]. given #5444 (H,wt=16): 5995 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(5930(a,1),20(a,1)),flip(a)]. given #5445 (H,wt=16): 5997 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5971(a,1),224(a,1,2)),flip(b)]. given #5446 (H,wt=16): 6084 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(6013(a,2),5015(a,1))]. given #5447 (H,wt=16): 6088 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6048(a,2),4785(a,1))]. given #5448 (H,wt=16): 6106 T(x,L(y \ 1,y,z)) = T(x,(u * y) \ u). [hyper(240,a,6091,a,b,6099,a)]. given #5449 (H,wt=16): 6112 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6049(a,2),4999(a,1))]. given #5450 (H,wt=16): 6134 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6113(a,1),5610(a,1))]. given #5451 (H,wt=16): 6139 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(6131(a,2),5610(a,1))]. given #5452 (H,wt=16): 6141 K(x,y \ (y / z)) != u | K(x,z \ 1) = u. [para(6133(a,2),5610(a,1))]. given #5453 (H,wt=16): 6150 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(240,a,171,a,b,6098,a)]. given #5454 (H,wt=16): 6156 x * T(y,z) != u | (x * y) * K(y,z) = u. [para(15(a,1),5978(a,1,1))]. given #5455 (H,wt=16): 6158 x * (y / x) != z | y * K(x,x \ y) = z. [para(3946(a,1),5978(a,1))]. given #5456 (H,wt=16): 6160 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(16(a,1),5997(a,1,1))]. given #5457 (H,wt=16): 6162 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(15(a,1),6084(a,1,1,2))]. given #5458 (H,wt=16): 6163 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(62(a,1),6084(a,1,1,2))]. given #5459 (H,wt=16): 6164 T(x,y \ 1) != z | T(x,(u * y) \ u) = z. [para(13(a,1),6088(a,1,2,1))]. given #5460 (H,wt=16): 6170 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3451(a,2),6112(a,1))]. given #5461 (H,wt=16): 6172 K(x,y) != z | K(x,((u * y) \ u) \ 1) = z. [para(13(a,1),6134(a,1,2))]. given #5462 (H,wt=17): 5922 (x * K(y,y \ z)) * y = x * ((y \ z) \ z). [hyper(240,a,271,a(flip),b,5918,a)]. given #5463 (H,wt=17): 5953 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(124(a,1),5926(a,1,1,2))]. given #5464 (H,wt=17): 5958 (x / y) * ((y \ z) \ z) = x * K(y,y \ z). [hyper(240,a,271,a(flip),b,5928,a(flip)),flip(a)]. given #5465 (H,wt=17): 5969 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(401,a,xx,b,5929,a),flip(a)]. given #5466 (H,wt=15): 6178 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(240,a,5101,a(flip),b,5969,a(flip))]. given #5467 (H,wt=15): 6179 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6178(a,1,1)),flip(a)]. given #5468 (H,wt=15): 6181 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(81,a,6179,a)]. given #5469 (H,wt=17): 6010 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(1206,a,5955,a)]. given #5470 (H,wt=13): 6183 K((x \ 1) \ y,y) = K(x * y,y). [hyper(17,a,4912,a(flip),b,6010,a(flip))]. given #5471 (H,wt=13): 6187 K((1 / x) \ y,y) = K(x * y,y). [hyper(5431,a,6183,a)]. given #5472 (H,wt=13): 6188 K((1 / x) * y,y) = K(x \ y,y). [para(65(a,1),6183(a,1,1,1)),flip(a)]. given #5473 (H,wt=17): 6041 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5178(a,1),6018(a,1,1,1)),flip(a)]. given #5474 (H,wt=17): 6052 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6019(a,1),5716(a,1,2,2))]. given #5475 (H,wt=17): 6064 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [para(4813(a,1),6005(a,1,2))]. given #5476 (H,wt=17): 6067 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4813(a,1),6006(a,1,2)),flip(a)]. given #5477 (H,wt=17): 6068 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4913(a,2),6006(a,1,2))]. given #5478 (H,wt=17): 6069 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(18,a,3198,a(flip),b,6008,a)]. given #5479 (H,wt=17): 6102 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(6092(a,1),209(a,1,2))]. given #5480 (H,wt=17): 6125 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5183(a,1),6111(a,1,2,1))]. given #5481 (H,wt=17): 6127 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6111(a,1),5280(a,1,2))]. given #5482 (H,wt=17): 6128 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6111(a,1),5726(a,2,2))]. given #5483 (H,wt=15): 6196 K(x,y / z) * y = y * K(x,z \ y). [para(5604(a,1),6128(a,1,1))]. given #5484 (H,wt=11): 6198 K(x,x / y) = K(x,y \ x). [hyper(18,a,3025,a,b,6196,a)]. given #5485 (H,wt=11): 6201 K(x,(y \ x) \ x) = K(x,y). [para(62(a,1),6198(a,1,2)),flip(a)]. given #5486 (H,wt=11): 6202 K(x,x / (x / y)) = K(x,y). [para(65(a,1),6198(a,2,2))]. given #5487 (H,wt=13): 6197 T(K(x,y / z),y) = K(x,z \ y). [hyper(182,a,6196,a,b,xx)]. given #5488 (H,wt=13): 6203 K(x,x * (1 / (y \ x))) = K(x,y). [hyper(240,a,5363,a,b,6201,a(flip)),flip(a)]. given #5489 (H,wt=13): 6205 K(x,(y \ z) \ z) = T(K(x,y),z). [para(62(a,1),6197(a,1,1,2)),flip(a)]. given #5490 (H,wt=13): 6209 K(x,T(y,y \ z)) = T(K(x,y),z). [para(123(a,2),6205(a,1,2))]. given #5491 (H,wt=13): 6210 K(x,T(y,z / y)) = T(K(x,y),z). [para(3947(a,2),6205(a,1,2))]. given #5492 (H,wt=13): 6211 T(K(x,y),z * y) = K(x,T(y,z)). [para(3958(a,2),6205(a,1,2)),flip(a)]. given #5493 (H,wt=13): 6213 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6209(a,1,2,2)),flip(a)]. given #5494 (H,wt=13): 6215 K(x * y,T(x,y)) = K(x * y,x). [hyper(240,a,4543,a(flip),b,6211,a(flip))]. given #5495 (H,wt=14): 6208 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6205(a,2),166(a,1)),flip(b)]. given #5496 (H,wt=14): 6212 K(x,(y \ x) \ x) != z | K(x,y) = z. [para(6205(a,2),5436(a,1))]. given #5497 (H,wt=14): 6214 K(x,T(y,1 / y)) != z | K(x,y) = z. [para(6210(a,2),166(a,1)),flip(b)]. given #5498 (H,wt=15): 6204 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(240,a,6111,a,b,6197,a)]. given #5499 (H,wt=15): 6216 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(240,a,6211,a,b,6213,a),flip(a)]. given #5500 (H,wt=16): 6218 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6213(a,1),5436(a,1))]. given #5501 (H,wt=16): 6221 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6204(a,2),6112(a,1))]. given #5502 (H,wt=14): 6224 K(x,x / y) != z | K(x,y \ x) = z. [para(3023(a,1),6221(a,1))]. given #5503 (H,wt=16): 6223 T(K(x,y),z) != u | K(x,(y \ z) \ z) = u. [para(62(a,1),6221(a,1,1,2))]. given #5504 (H,wt=17): 6140 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(6133(a,1),4976(a,1,2))]. given #5505 (H,wt=13): 6227 T(x,(x / y) / x) = T(x,1 / y). [hyper(182,a,6140,a(flip),b,5928,a)]. given #5506 (H,wt=17): 6146 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6094(a,2),209(a,1,2))]. given #5507 (H,wt=17): 6153 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(3974(a,1),6142(a,1,1,2))]. given #5508 (H,wt=17): 6185 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6010(a,1),4531(a,1,1))]. given #5509 (H,wt=17): 6192 (x * K(y \ z,y)) * (z / y) = x * (y \ z). [para(6064(a,1),16(a,1,1))]. given #5510 (H,wt=17): 6194 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(240,a,2910,a,b,6068,a),flip(a)]. given #5511 (H,wt=17): 6217 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6213(a,1),122(a,1,2))]. given #5512 (H,wt=17): 6231 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(18,a,1285,a(flip),b,6192,a)]. given #5513 (H,wt=18): 5935 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5918(a,1),254(a,1,2))]. given #5514 (H,wt=18): 5948 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(5941(a,1),45(a,1,1)),flip(a)]. given #5515 (H,wt=18): 5951 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(5924(a,1),387(a,1,1))]. given #5516 (H,wt=18): 5981 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(5929(a,1),541(a,1))]. given #5517 (H,wt=18): 6021 x * T(x \ y,z) != y * u | K(x \ y,z) = u. [para(5955(a,2),19(a,1))]. given #5518 (H,wt=18): 6022 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5955(a,2),241(a,1,2)),flip(b)]. given #5519 (H,wt=16): 6238 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5033(a,1),6022(a,1))]. given #5520 (H,wt=16): 6242 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5476(a,2),6238(a,1))]. given #5521 (H,wt=14): 6244 K(x / y,x) != z | K(y \ x,x) = z. [para(3189(a,1),6242(a,1))]. given #5522 (H,wt=16): 6243 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(62(a,1),6242(a,1,1,1))]. given #5523 (H,wt=18): 6030 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(5955(a,1),5254(a,1))]. given #5524 (H,wt=18): 6050 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6019(a,1),4785(a,1,1))]. given #5525 (H,wt=18): 6144 x / ((y * z) / y) != u * K(z,y) | x / z = u. [para(6066(a,2),20(a,1))]. given #5526 (H,wt=18): 6155 (x \ K(x,y)) * x != z | (x \ 1) * T(x,y) = z. [para(5152(a,1),5950(a,1,1))]. given #5527 (H,wt=18): 6165 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),6088(a,1,2,1))]. given #5528 (H,wt=18): 6167 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),6112(a,1,2,1))]. given #5529 (H,wt=18): 6199 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6196(a,1),20(a,1))]. given #5530 (H,wt=18): 6206 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6197(a,1),3987(a,1,2))]. given #5531 (H,wt=18): 6220 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2047(a,2),6208(a,1,2))]. given #5532 (H,wt=18): 6239 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6238(a,1,1,1))]. given #5533 (H,wt=19): 5986 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4774(a,1),5929(a,1,1)),flip(a)]. given #5534 (H,wt=19): 5989 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5974(a,1),445(a,1,2,1))]. given #5535 (H,wt=19): 6000 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(4818(a,1),5971(a,1,1))]. given #5536 (H,wt=19): 6012 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(926,a,5955,a),flip(a)]. given #5537 (H,wt=19): 6016 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(73,a,1533,a(flip),b,5955,a(flip))]. given #5538 (H,wt=19): 6040 K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). [para(6018(a,1),4809(a,2,1)),flip(a)]. given #5539 (H,wt=19): 6042 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5902,a,6019,a)]. given #5540 (H,wt=17): 6252 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6238,a,6042,a),flip(a)]. given #5541 (H,wt=19): 6051 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6019(a,1),5640(a,1,1)),flip(a)]. given #5542 (H,wt=19): 6053 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6019(a,1),5769(a,1,2))]. given #5543 (H,wt=19): 6057 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(73,a,6043,a(flip),b,4754,a),flip(a)]. given #5544 (H,wt=19): 6089 T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. [hyper(3894,a,6086,a),flip(a)]. given #5545 (H,wt=19): 6097 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [para(6091(a,1),122(a,1,2))]. given #5546 (H,wt=19): 6114 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(240,a,6019,a(flip),b,6111,a)]. given #5547 (H,wt=19): 6138 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(6123(a,1),122(a,1,2))]. given #5548 (H,wt=19): 6147 T(x * (y / z),z / y) = ((x * (y / z)) \ x) \ x. [hyper(240,a,3998,a(flip),b,6096,a(flip)),flip(a)]. given #5549 (H,wt=19): 6149 (1 / x) * (((y * x) \ y) \ y) = (y * x) * (1 / x). [para(6096(a,1),2929(a,1,2))]. given #5550 (H,wt=19): 6182 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(240,a,4515,a(flip),b,6010,a(flip)),flip(a)]. given #5551 (H,wt=19): 6186 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6010(a,1),4532(a,1,1))]. given #5552 (H,wt=19): 6189 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(6183(a,1),4800(a,2,2)),flip(a)]. given #5553 (H,wt=19): 6195 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(240,a,2067,a(flip),b,6127,a),flip(a)]. given #5554 (H,wt=19): 6207 K(x,K(y,x / z)) * K(y,z \ x) = K(y,x / z). [para(6197(a,1),4769(a,1,2))]. given #5555 (H,wt=19): 6222 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6216(a,2),4991(a,1,1))]. given #5556 (H,wt=15): 6259 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5707,a,6222,a),flip(a)]. given #5557 (H,wt=15): 6260 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5706,a,6259,a),flip(a)]. given #5558 (H,wt=19): 6233 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(240,a,5372,a(flip),b,6217,a)]. given #5559 (H,wt=19): 6245 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4553,a,5986,a(flip))]. given #5560 (H,wt=19): 6249 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4644(a,1),6016(a,1,2))]. given #5561 (H,wt=20): 5963 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(5928(a,2),517(a,1))]. given #5562 (H,wt=20): 5980 (x * y) * K(y,z) != u * w | u \ (x * T(y,z)) = w. [para(5929(a,2),517(a,1))]. given #5563 (H,wt=20): 5982 (x / y) * T(y,z) != u * w | (x * K(y,z)) / w = u. [para(5929(a,1),558(a,1))]. given #5564 (H,wt=20): 6045 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(108(a,2),6019(a,1,1,1))]. given #5565 (H,wt=18): 6261 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(240,a,6051,a(flip),b,6045,a(flip)),flip(a)]. given #5566 (H,wt=17): 6266 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(108(a,2),6261(a,2,1))]. given #5567 (H,wt=18): 6263 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6261(a,2,1,1))]. given #5568 (H,wt=18): 6265 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),6261(a,1,1,1)),flip(a)]. given #5569 (H,wt=15): 6271 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(110(a,2),6265(a,1,1))]. given #5570 (H,wt=15): 6273 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6271(a,1,1,2)),flip(a)]. given #5571 (H,wt=17): 6274 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6271(a,1),4977(a,1,1)),flip(a)]. given #5572 (H,wt=18): 6269 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2704(a,1),6266(a,2,1))]. given #5573 (H,wt=18): 6277 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6273(a,1),502(a,1,2))]. given #5574 (H,wt=19): 6275 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(240,a,3022,a,b,6273,a)]. given #5575 (H,wt=18): 6279 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6275(a,2),5427(a,1))]. given #5576 (H,wt=20): 6062 T((x / y) * K(y,z),y) != u | y \ (x * K(y,z)) = u. [para(5959(a,1),387(a,1,1))]. given #5577 (H,wt=20): 6095 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). [para(398(a,1),6086(a,1,2,1)),flip(a)]. given #5578 (H,wt=16): 6280 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). [hyper(240,a,2916,a(flip),b,6095,a)]. given #5579 (H,wt=20): 6132 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),6113(a,1,2,2)),flip(a)]. given #5580 (H,wt=20): 6148 T(x * (1 / y),(1 / y) \ 1) = L(y,y \ 1,x) \ x. [para(2541(a,2),6096(a,2,1))]. given #5581 (H,wt=16): 6282 L(x,x \ 1,y) \ y = T(y * (1 / x),x). [para(65(a,1),6148(a,1,2)),flip(a)]. given #5582 (H,wt=20): 6159 K(x,y) * T(T(y,x),z) != u | y * K(T(y,x),z) = u. [para(4750(a,2),5978(a,1,1))]. given #5583 (H,wt=20): 6171 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5183(a,1),6112(a,1,2,1))]. given #5584 (H,wt=20): 6184 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6010(a,2),19(a,1))]. given #5585 (H,wt=20): 6191 x \ T(x * y,z) != u | y * K((x \ 1) \ y,z) = u. [para(6052(a,1),241(a,1,2)),flip(b)]. given #5586 (H,wt=20): 6193 x / (y / z) != u * K(z \ y,z) | x / (z \ y) = u. [para(6067(a,1),20(a,1))]. given #5587 (H,wt=20): 6200 x * K(y,z \ x) != x * u | T(K(y,x / z),x) = u. [para(6196(a,1),183(a,2)),flip(a)]. given #5588 (H,wt=20): 6219 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6213(a,1),5677(a,1,2))]. given #5589 (H,wt=20): 6225 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3063(a,1),6221(a,1))]. given #5590 (H,wt=20): 6234 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6231(a,1),20(a,1)),flip(a)]. given #5591 (H,wt=20): 6241 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5183(a,1),6238(a,1,1,1))]. given #5592 (H,wt=18): 6283 K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. [para(5271(a,1),6241(a,1))]. given #5593 (H,wt=20): 6250 K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). [hyper(240,a,357,a(flip),b,6040,a)]. given #5594 (H,wt=20): 6253 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(171(a,2),6057(a,1,1,1))]. given #5595 (H,wt=20): 6262 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(240,a,5513,a(flip),b,6261,a)]. given #5596 (H,wt=20): 6264 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6261(a,2,1,2))]. given #5597 (H,wt=20): 6268 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1773(a,2),6266(a,2,1))]. given #5598 (H,wt=20): 6272 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(240,a,28,a(flip),b,6271,a)]. given #5599 (H,wt=18): 6288 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6272(a,2),449(a,1))]. given #5600 (H,wt=21): 5942 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(5920(a,1),447(a,1,2,1))]. given #5601 (H,wt=21): 5991 L(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(5974(a,2),5492(a,1))]. given #5602 (H,wt=21): 6002 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(240,a,5616,a,b,5937,a(flip)),flip(a)]. given #5603 (H,wt=21): 6011 x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). [hyper(974,a,5955,a),flip(a)]. given #5604 (H,wt=19): 6290 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [hyper(240,a,175,a(flip),b,6011,a)]. given #5605 (H,wt=15): 6291 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6053,a,b,6290,a)]. given #5606 (H,wt=21): 6027 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5955(a,1),1935(a,2,1))]. given #5607 (H,wt=19): 6293 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(73,a,6027,a(flip),b,5955,a(flip))]. given #5608 (H,wt=19): 6294 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(65(a,1),6293(a,1,2,1,2,1)),flip(a)]. given #5609 (H,wt=21): 6059 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6056(a,1),4800(a,2,2)),flip(a)]. given #5610 (H,wt=21): 6061 K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). [para(6060(a,1),4870(a,1,1))]. given #5611 (H,wt=21): 6104 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6092(a,1),2929(a,1,2))]. given #5612 (H,wt=21): 6105 T(x / L(y \ 1,y,z),y \ 1) = L(y \ 1,y,z) \ x. [hyper(387,a,6099,a),flip(a)]. given #5613 (H,wt=21): 6120 K(x,((y \ z) \ z) \ u) = K(x,(u \ T(y,y \ z)) \ 1). [para(397(a,2),6111(a,1,2,1)),flip(a)]. given #5614 (H,wt=19): 6296 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(240,a,6111,a(flip),b,6120,a),flip(a)]. given #5615 (H,wt=21): 6121 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(678(a,1),6111(a,1,2,1)),flip(a)]. given #5616 (H,wt=21): 6135 K(x,y \ 1) / ((z * y) \ z) = 1 / T((z * y) \ z,x). [hyper(75,a,6115,a(flip),b,4749,a(flip))]. given #5617 (H,wt=19): 6298 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(240,a,6102,a(flip),b,6135,a)]. given #5618 (H,wt=21): 6145 K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). [para(6066(a,2),5306(a,1,2))]. given #5619 (H,wt=21): 6190 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6041(a,1),5466(a,2,1))]. given #5620 (H,wt=15): 6300 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4848(a,1),6190(a,1,1,1)),flip(a)]. given #5621 (H,wt=17): 6301 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6300(a,1),122(a,1,2)),flip(a)]. given #5622 (H,wt=21): 6232 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6194(a,1),4465(a,1,1)),flip(a)]. given #5623 (H,wt=19): 6302 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6232(a,1),5305(a,1,2))]. given #5624 (H,wt=19): 6303 K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). [para(62(a,1),6302(a,1,2,1,2,2))]. given #5625 (H,wt=21): 6251 K(x,y) * ((z * (1 / x)) \ z) = T((z * (1 / x)) \ z,y). [para(65(a,1),6040(a,1,1,1))]. given #5626 (H,wt=21): 6278 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6269(a,2),5430(a,1))]. given #5627 (H,wt=21): 6299 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3586,a,6298,a)]. given #5628 (H,wt=22): 5934 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5918(a,1),171(a,2,1))]. given #5629 (H,wt=22): 5962 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(30(a,2),5928(a,1,1)),flip(a)]. given #5630 (H,wt=22): 5977 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(5929(a,1),28(a,2,2,2)),flip(a)]. given #5631 (H,wt=20): 6307 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(240,a,6273,a(flip),b,5977,a)]. given #5632 (H,wt=22): 5983 x * T(x \ y,z) != u * w | (y * K(x \ y,z)) / w = u. [para(5929(a,1),861(a,1))]. given #5633 (H,wt=22): 5987 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(5929(a,1),4942(a,1))]. given #5634 (H,wt=22): 6023 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(5955(a,2),309(a,1,2))]. given #5635 (H,wt=22): 6026 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(5955(a,1),926(a,1))]. given #5636 (H,wt=22): 6117 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),6111(a,1,2,1)),flip(a)]. given #5637 (H,wt=22): 6169 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2301(a,2),6112(a,1))]. given #5638 (H,wt=22): 6176 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6150(a,1),3885(a,1,2,1)),flip(a)]. given #5639 (H,wt=15): 6311 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(240,a,6103,a(flip),b,6176,a)]. given #5640 (H,wt=19): 6313 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6311(a,1,2,2,1))]. given #5641 (H,wt=17): 6314 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(240,a,124,a(flip),b,6313,a)]. given #5642 (H,wt=22): 6237 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1321(a,1),6022(a,1,2))]. given #5643 (H,wt=15): 6315 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6237,a,6249,a),flip(a)]. given #5644 (H,wt=18): 6316 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6249(a,1),6237(a,1))]. given #5645 (H,wt=22): 6255 (x \ y) * K(z,y \ x) != u * (x \ y) | K(z,y \ x) = u. [para(6138(a,1),20(a,1))]. given #5646 (H,wt=22): 6281 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(389(a,2),6132(a,1,2))]. given #5647 (H,wt=22): 6292 x * ((y \ (x \ z)) * y) != z * u | K((x * y) \ z,y) = u. [para(6290(a,1),19(a,1))]. given #5648 (H,wt=22): 6306 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5934(a,2),4947(a,1))]. given #5649 (H,wt=22): 6309 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(466(a,2),6117(a,1,2))]. given #5650 (H,wt=22): 6318 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(240,a,3464,a,b,6281,a(flip)),flip(a)]. given #5651 (H,wt=23): 5965 K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). [para(5928(a,1),3220(a,1,2))]. given #5652 (H,wt=21): 6319 (x / y) * (1 / (1 / T(y,z))) = x * ((y \ 1) * T(y,z)). [hyper(240,a,5465,a(flip),b,5965,a(flip))]. given #5653 (H,wt=21): 6320 (x / y) * T(1 / (1 / y),z) = x * ((y \ 1) * T(y,z)). [para(2842(a,1),6319(a,1,2))]. given #5654 (H,wt=23): 6129 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(6111(a,2),5881(a,2,2))]. given #5655 (H,wt=23): 6152 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5606(a,2),6136(a,2,2))]. given #5656 (H,wt=23): 6168 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(108(a,2),6112(a,1,2,1))]. given #5657 (H,wt=23): 6174 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(199(a,1),6139(a,1,2,1))]. given #5658 (H,wt=23): 6226 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(240,a,5338,a,b,6140,a),flip(a)]. given #5659 (H,wt=21): 6321 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6227(a,1),6226(a,1,1))]. given #5660 (H,wt=17): 6322 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(65(a,1),6321(a,1,2)),flip(a)]. given #5661 (H,wt=23): 6240 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(108(a,2),6238(a,1,1,1))]. given #5662 (H,wt=21): 6323 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6051(a,1),6240(a,1))]. given #5663 (H,wt=21): 6324 L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. [para(65(a,1),6323(a,1,1,1))]. given #5664 (H,wt=23): 6246 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5989(a,1),4985(a,1,2))]. given #5665 (H,wt=19): 6325 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(240,a,5676,a(flip),b,6246,a)]. given #5666 (H,wt=23): 6287 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6264(a,1),435(a,1,2)),flip(a)]. given #5667 (H,wt=23): 6305 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(75,a,6299,a(flip),b,5958,a)]. given #5668 (H,wt=24): 5904 (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. [para(5035(a,2),5788(a,1))]. given #5669 (H,wt=20): 6326 K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. [para(4754(a,1),5904(a,1))]. given #5670 (H,wt=24): 6100 T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). [para(95(a,1),6091(a,1,2))]. given #5671 (H,wt=24): 6166 T(x,a(y,z,z \ 1) \ 1) != u | T(x,R(y,z,z \ 1) \ y) = u. [para(678(a,1),6088(a,1,2,1))]. given #5672 (H,wt=24): 6236 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(839(a,1),6022(a,1,2))]. given #5673 (H,wt=24): 6267 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5178(a,1),6261(a,2,1,1))]. given #5674 (H,wt=24): 6289 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(6002(a,2),19(a,1))]. given #5675 (H,wt=24): 6317 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6315(a,1),6264(a,1,1))]. given #5676 (H,wt=19): 6327 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(240,a,6264,a(flip),b,6317,a(flip))]. given #5677 (H,wt=15): 6328 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6327(a,2,1,1))]. given #5678 (H,wt=19): 6329 K((x * y) \ z,y * x) = K((y * x) \ z,y * x). [para(15(a,1),6328(a,1,1,1,2))]. given #5679 (H,wt=25): 4808 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2453(a,1),4753(a,2,2))]. given #5680 (H,wt=23): 6330 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4808(a,2),2494(a,1,2))]. given #5681 (H,wt=25): 4910 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4774(a,1),442(a,1,1))]. given #5682 (H,wt=25): 5027 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(966(a,1),4989(a,1,2))]. given #5683 (H,wt=25): 5028 x * ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(3513(a,2),4999(a,1))]. given #5684 (H,wt=25): 5050 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4768(a,1),449(a,1,2,2))]. given #5685 (H,wt=25): 5135 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(753(a,1),4968(a,2,2))]. given #5686 (H,wt=25): 5281 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),2077(a,2,2))]. given #5687 (H,wt=19): 6332 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5278(a,1),5281(a,1,1))]. given #5688 (H,wt=23): 6335 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3449(a,1),6332(a,1,1,2)),flip(a)]. given #5689 (H,wt=19): 6336 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3449(a,1),6335(a,1,2)),flip(a)]. given #5690 (H,wt=25): 5408 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(42(a,2),5089(a,1,2,1))]. given #5691 (H,wt=25): 5423 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(40(a,2),5180(a,1,1))]. given #5692 (H,wt=25): 5484 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(75,a,838,a(flip),b,5037,a)]. given #5693 (H,wt=25): 5588 (x * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. [para(5585(a,2),4472(a,1,2))]. given #5694 (H,wt=25): 5589 L(T(x \ y,z) \ 1,x \ y,x) != u | y \ (x * K(z,x \ y)) = u. [para(4890(a,1),305(a,1))]. given #5695 (H,wt=25): 5665 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1196(a,1),5276(a,1,1))]. given #5696 (H,wt=21): 6338 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5665(a,1,1,2,2,1))]. given #5697 (H,wt=19): 6339 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(240,a,5604,a(flip),b,6338,a)]. given #5698 (H,wt=25): 5751 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1773(a,2),5746(a,1,2)),flip(a)]. given #5699 (H,wt=25): 5792 (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(x \ (x * y),x * y). [hyper(73,a,4310,a(flip),b,5791,a)]. given #5700 (H,wt=21): 6341 (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(y,x * y). [para(13(a,1),5792(a,2,2,1))]. given #5701 (H,wt=25): 5794 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(240,a,1974,a,b,4891,a(flip)),flip(a)]. given #5702 (H,wt=25): 5803 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(5636(a,1),20(a,1))]. given #5703 (H,wt=25): 5804 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5642(a,1),19(a,1)),flip(a)]. given #5704 (H,wt=25): 5811 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1665(a,1),5810(a,2,2))]. given #5705 (H,wt=21): 6344 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4752(a,2),5811(a,1,2)),flip(a)]. given #5706 (H,wt=19): 6345 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(240,a,4830,a(flip),b,6344,a)]. given #5707 (H,wt=17): 6346 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(4080(a,1),6345(a,1,2))]. given #5708 (H,wt=17): 6347 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6346(a,1),65(a,1,1))]. given #5709 (H,wt=25): 5819 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1551(a,1),5483(a,1,1))]. given #5710 (H,wt=25): 5821 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(552(a,1),5638(a,1,1,1)),flip(a)]. given #5711 (H,wt=20): 6348 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3867(a,1),5821(a,1,1)),flip(a)]. given #5712 (H,wt=18): 6349 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5597,a,6348,a)]. given #5713 (H,wt=15): 6352 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(115(a,2),6349(a,1,1))]. given #5714 (H,wt=12): 6353 K(R(x,x \ 1,y),z) = K(x,z). [hyper(240,a,341,a(flip),b,6352,a)]. given #5715 (H,wt=15): 6354 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6352(a,1,1,2)),flip(a)]. given #5716 (H,wt=18): 6351 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6349(a,1,1,2,1)),flip(a)]. given #5717 (H,wt=18): 6358 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6351(a,2,1,2))]. given #5718 (H,wt=20): 6355 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6352(a,2),118(a,1,1))]. given #5719 (H,wt=21): 6356 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6354(a,1),46(a,1,1)),flip(a)]. given #5720 (H,wt=23): 6357 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5068(a,1),6354(a,1,2)),flip(a)]. given #5721 (H,wt=25): 5837 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = T(1 / (x \ y),x \ T(y,x)). [para(5168(a,1),5836(a,1,2)),flip(a)]. given #5722 (H,wt=25): 5850 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(807(a,1),5666(a,1,1,1))]. given #5723 (H,wt=21): 6359 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5370(a,1),5850(a,1,1,1)),flip(a)]. given #5724 (H,wt=21): 6360 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(240,a,4514,a(flip),b,6359,a)]. given #5725 (H,wt=19): 6361 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(240,a,5604,a(flip),b,6360,a(flip)),flip(a)]. given #5726 (H,wt=25): 5854 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(401,a,5852,a,b,xx),flip(a)]. given #5727 (H,wt=20): 6362 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(704,a,5854,a)]. given #5728 (H,wt=24): 6363 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6362(a,1),5646(a,1,1,1)),flip(a)]. given #5729 (H,wt=20): 6364 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(240,a,5467,a(flip),b,6363,a)]. given #5730 (H,wt=25): 5883 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5814(a,1),3642(a,1,1)),flip(a)]. given #5731 (H,wt=25): 5966 T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). [para(5928(a,1),4132(a,1,1))]. given #5732 (H,wt=25): 6054 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6019(a,1),5834(a,2,2))]. given #5733 (H,wt=25): 6161 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(118(a,1),5997(a,1,1))]. given #5734 (H,wt=25): 6270 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(24(a,2),6263(a,2,1))]. given #5735 (H,wt=25): 6286 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1698(a,1),6253(a,2,2))]. given #5736 (H,wt=25): 6295 (x / L(y \ 1,y,z)) * (y \ 1) = (y \ 1) * (L(y \ 1,y,z) \ x). [para(6105(a,1),122(a,1,2)),flip(a)]. given #5737 (H,wt=25): 6331 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5166(a,1),4910(a,1,2))]. given #5738 (H,wt=23): 6367 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4815(a,1),6331(a,1,2,2)),flip(a)]. given #5739 (H,wt=21): 6368 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6367(a,2),770(a,1))]. given #5740 (H,wt=25): 6343 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5794(a,1),14(a,1,2))]. given #5741 (H,wt=26): 4932 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1599(a,1),4776(a,1,1))]. given #5742 (H,wt=20): 6370 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4932(a,1),728(a,2,1)),flip(a)]. given #5743 (H,wt=22): 6369 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(240,a,4922,a,b,4932,a(flip)),flip(a)]. given #5744 (H,wt=22): 6371 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5319,a,6370,a)]. given #5745 (H,wt=26): 4935 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1726(a,1),4776(a,1,1))]. given #5746 (H,wt=26): 5047 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4754(a,1),2105(a,2,1,2))]. given #5747 (H,wt=26): 5064 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4779(a,1),24(a,2,2,1)),flip(a)]. given #5748 (H,wt=26): 5145 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(4976(a,1),468(a,1,2))]. given #5749 (H,wt=26): 5390 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5383(a,1),28(a,2,1)),flip(a)]. given #5750 (H,wt=26): 5631 K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. [para(5293(a,2),5630(a,1))]. given #5751 (H,wt=26): 5659 x * (y * T(y \ (x \ y),z)) != u * w | u \ (K(x \ 1,z) * y) = w. [para(5046(a,2),517(a,1))]. given #5752 (H,wt=26): 5704 (x * T(y,K(z,u))) \ (x * (K(u,z) * y)) = L(K(u,z),T(y,K(z,u)),x). [para(5691(a,1),28(a,2,2,2)),flip(a)]. given #5753 (H,wt=26): 5739 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5183(a,1),5196(a,1,1))]. given #5754 (H,wt=26): 5741 K(x,x \ 1) * (((x \ y) / y) * x) != z | (x \ 1) \ ((x \ y) / y) = z. [para(1145(a,1),5236(a,1,2))]. given #5755 (H,wt=26): 5805 x / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). [para(5718(a,1),5184(a,1,2,1))]. given #5756 (H,wt=25): 6376 K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. [para(5805(a,1),5194(a,1))]. given #5757 (H,wt=26): 5820 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2720(a,1),5573(a,1,2,2,1)),flip(a)]. given #5758 (H,wt=23): 6377 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2804(a,1),5820(a,1,2,2,1)),flip(a)]. given #5759 (H,wt=26): 5856 (1 / x) * (K(x,y) * z) != u * w | (K(x,y) * ((1 / x) * z)) / w = u. [para(5855(a,1),381(a,1,1))]. given #5760 (H,wt=26): 5886 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(5870(a,1),19(a,1))]. given #5761 (H,wt=26): 5887 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5871(a,2),19(a,1))]. given #5762 (H,wt=26): 5890 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5889(a,2),20(a,1))]. given #5763 (H,wt=26): 5932 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5918(a,1),24(a,2,1,2)),flip(a)]. given #5764 (H,wt=26): 5954 (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). [para(195(a,1),5926(a,1,1,2))]. given #5765 (H,wt=23): 6379 (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). [para(6060(a,1),5954(a,1,2))]. given #5766 (H,wt=26): 6024 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5955(a,2),107(a,1,2,2)),flip(a)]. given #5767 (H,wt=23): 6380 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6024(a,2),6236(a,1))]. given #5768 (H,wt=26): 6126 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6111(a,1),5244(a,1,1))]. given #5769 (H,wt=26): 6228 ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. [para(6140(a,2),183(a,2))]. given #5770 (H,wt=26): 6256 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(6138(a,1),5161(a,1,2))]. given #5771 (H,wt=26): 6284 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) = y * L(T(x \ 1,y),x,z). [para(6250(a,1),5371(a,2,2))]. given #5772 (H,wt=26): 6308 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(240,a,5974,a,b,6307,a),flip(a)]. given #5773 (H,wt=26): 6375 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5383(a,1),5390(a,1,2))]. given #5774 (H,wt=27): 4829 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4762(a,2),1533(a,1,1)),flip(a)]. given #5775 (H,wt=25): 6384 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4762(a,2),4829(a,2,2,1,1))]. given #5776 (H,wt=27): 4837 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4770(a,2),2319(a,1,2,1))]. given #5777 (H,wt=27): 4903 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(94(a,1),4772(a,1,2,1))]. given #5778 (H,wt=27): 5107 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4815(a,1),442(a,1,1))]. given #5779 (H,wt=25): 6386 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4815(a,1),5107(a,1,2)),flip(a)]. given #5780 (H,wt=18): 6387 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(240,a,28,a,b,6386,a)]. given #5781 (H,wt=18): 6389 L(L(x,y * z,K(y,u)),z,y) = L(x,z,T(y,u)). [hyper(240,a,45,a,b,6387,a(flip)),flip(a)]. given #5782 (H,wt=21): 6388 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6386(a,2),449(a,1))]. given #5783 (H,wt=27): 5350 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(240,a,3022,a(flip),b,5210,a)]. given #5784 (H,wt=23): 6390 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3449(a,1),5350(a,1,2,2))]. given #5785 (H,wt=27): 5369 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3976(a,1),5339(a,1,2)),flip(a)]. given #5786 (H,wt=23): 6391 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4998(a,1),5369(a,1,1))]. given #5787 (H,wt=27): 5462 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4929(a,2),4117(a,1,1))]. given #5788 (H,wt=27): 5709 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5705(a,1),3810(a,2,3))]. given #5789 (H,wt=27): 5712 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4884(a,2),5309(a,2,2,2)),flip(a)]. given #5790 (H,wt=27): 5874 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(314,a,5779,a)]. given #5791 (H,wt=23): 6393 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),5874(a,1,1,1,1,2)),flip(a)]. given #5792 (H,wt=21): 6394 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6019(a,1),6393(a,1,2))]. given #5793 (H,wt=19): 6395 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3619,a,b,6394,a),flip(a)]. given #5794 (H,wt=21): 6397 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5270(a,1),6394(a,1,2))]. given #5795 (H,wt=23): 6398 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),6395(a,2,1,2))]. given #5796 (H,wt=24): 6396 K((x * y) \ 1,z) / y != (1 / y) * u | K(x \ (1 / y),z) = u. [para(6394(a,1),19(a,1))]. given #5797 (H,wt=25): 6399 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(240,a,3502,a,b,6398,a(flip)),flip(a)]. given #5798 (H,wt=23): 6400 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3217(a,1),6399(a,1,1,2))]. given #5799 (H,wt=17): 6401 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3675,a,6400,a),flip(a)]. given #5800 (H,wt=25): 6402 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(123(a,2),6401(a,1,2,2))]. given #5801 (H,wt=21): 6403 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(5631,a,6402,a),flip(a)]. given #5802 (H,wt=19): 6404 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(240,a,5750,a(flip),b,6403,a(flip))]. given #5803 (H,wt=19): 6405 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(240,a,6395,a,b,6404,a(flip)),flip(a)]. given #5804 (H,wt=27): 5875 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(240,a,5652,a,b,5781,a(flip)),flip(a)]. given #5805 (H,wt=23): 6406 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(908(a,1),5875(a,1,1))]. given #5806 (H,wt=27): 5985 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5929(a,1),475(a,1,1))]. given #5807 (H,wt=25): 6408 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5929(a,1),5985(a,1,2)),flip(a)]. given #5808 (H,wt=21): 6409 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6408(a,2),483(a,1))]. given #5809 (H,wt=18): 6410 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(6409,a,46,a),flip(a)]. given #5810 (H,wt=27): 6258 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5270(a,1),6182(a,2,2))]. given #5811 (H,wt=27): 6297 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2184(a,2),6121(a,1,2))]. given #5812 (H,wt=27): 6381 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) != u | L(x \ 1,x,z) * y = u. [para(6284(a,2),383(a,1))]. given #5813 (H,wt=27): 6392 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3171(a,1),5709(a,1,3))]. given #5814 (H,wt=27): 6407 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4517(a,1),6406(a,1,1)),flip(a)]. given #5815 (H,wt=21): 6412 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4564(a,1),6407(a,1,2)),flip(a)]. given #5816 (H,wt=15): 6413 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(240,a,4936,a,b,6412,a),flip(a)]. given #5817 (H,wt=15): 6414 (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. [hyper(73,a,4936,a,b,6412,a)]. given #5818 (H,wt=17): 6416 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6413(a,2,2,1)),flip(a)]. given #5819 (H,wt=22): 6417 (x \ T(y,x)) * ((x \ y) \ 1) != z * u | K(y,x) / u = z. [para(6414(a,1),295(a,1,2))]. given #5820 (H,wt=23): 6419 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5183(a,1),6416(a,1,2))]. given #5821 (H,wt=27): 6411 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5518(a,1),6258(a,2,2))]. given #5822 (H,wt=25): 6420 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(240,a,6397,a(flip),b,6411,a)]. given #5823 (H,wt=27): 6415 ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = K(y,x) / (x \ T(y,x)). [hyper(75,a,6413,a,b,4811,a),flip(a)]. given #5824 (H,wt=28): 4951 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4811(a,1),94(a,1,1))]. given #5825 (H,wt=25): 6421 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(240,a,4846,a(flip),b,4951,a)]. given #5826 (H,wt=28): 5010 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2683(a,2),4778(a,1))]. given #5827 (H,wt=28): 5282 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2396(a,1,1))]. given #5828 (H,wt=22): 6423 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5279(a,1),5282(a,2,1))]. given #5829 (H,wt=14): 6425 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3870,a(flip),b,6423,a)]. given #5830 (H,wt=14): 6426 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3542,a(flip),b,6423,a)]. given #5831 (H,wt=17): 6424 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,118,a,b,6423,a),flip(a)]. given #5832 (H,wt=17): 6429 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3449(a,1),6424(a,1,1)),flip(a)]. given #5833 (H,wt=17): 6434 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6429(a,1),5639(a,1,1)),flip(a)]. given #5834 (H,wt=15): 6435 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(5220,a,6434,a)]. given #5835 (H,wt=18): 6436 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(569,a,6434,a)]. given #5836 (H,wt=18): 6437 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(240,a,118,a(flip),b,6434,a)]. given #5837 (H,wt=18): 6439 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6434(a,2),85(a,1)),flip(b)]. given #5838 (H,wt=19): 6431 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5604(a,1),6424(a,1,1)),flip(a)]. given #5839 (H,wt=18): 6442 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(240,a,5607,a(flip),b,6431,a(flip))]. given #5840 (H,wt=18): 6443 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(493(a,1),6431(a,1,2)),flip(a)]. given #5841 (H,wt=18): 6445 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6442(a,2,2,2))]. given #5842 (H,wt=18): 6446 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),6442(a,1,1,2)),flip(a)]. given #5843 (H,wt=12): 6449 R(K(x,y),T(y,z),u) = K(x,y). [para(3831(a,1),6446(a,1,2)),flip(a)]. given #5844 (H,wt=10): 6450 R(K(x,y),y,z) = K(x,y). [para(121(a,1),6449(a,1,2))]. given #5845 (H,wt=14): 6455 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(240,a,5634,a(flip),b,6450,a(flip)),flip(a)]. given #5846 (H,wt=15): 6448 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(115(a,2),6446(a,1,2))]. given #5847 (H,wt=15): 6454 K((x * y) / z,x) = K(x / (z / y),x). [hyper(240,a,6358,a(flip),b,6450,a(flip)),flip(a)]. given #5848 (H,wt=15): 6459 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6448(a,1,2,2)),flip(a)]. given #5849 (H,wt=14): 6464 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(3898,a,6459,a),flip(a)]. given #5850 (H,wt=15): 6462 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(240,a,6035,a(flip),b,6454,a)]. given #5851 (H,wt=13): 6468 K((1 / x) \ y,y) = K(y * x,y). [para(60(a,1),6462(a,1,1)),flip(a)]. given #5852 (H,wt=11): 6469 K(x * y,y) = K(y * x,y). [hyper(240,a,6187,a(flip),b,6468,a(flip)),flip(a)]. given #5853 (H,wt=13): 6470 K(x * (y \ 1),x) = K(y \ x,x). [para(62(a,1),6468(a,1,1,1)),flip(a)]. given #5854 (H,wt=13): 6471 T(x * K(x * y,x),y * x) = x. [para(6469(a,1),4777(a,1,1,2))]. given #5855 (H,wt=16): 6472 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6469(a,2),5244(a,1,2))]. given #5856 (H,wt=17): 6460 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),6448(a,1,2,2)),flip(a)]. given #5857 (H,wt=18): 6447 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(6198(a,1),6445(a,1,1))]. given #5858 (H,wt=15): 6478 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(3898,a,6447,a),flip(a)]. given #5859 (H,wt=18): 6452 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(240,a,5604,a,b,6450,a)]. given #5860 (H,wt=16): 6483 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6452(a,1),346(a,1)),flip(b)]. given #5861 (H,wt=16): 6484 K(x,y \ 1) != z | K(x,u / (y * u)) = z. [para(15(a,1),6483(a,1,2,1))]. given #5862 (H,wt=18): 6463 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(6454(a,2),6244(a,1))]. given #5863 (H,wt=18): 6475 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(6470(a,1),5312(a,1,1,2))]. given #5864 (H,wt=18): 6480 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6447(a,1),3898(a,1))]. given #5865 (H,wt=19): 6432 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6111(a,1),6424(a,1,1)),flip(a)]. given #5866 (H,wt=19): 6433 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6429(a,1),4800(a,2,2))]. given #5867 (H,wt=19): 6451 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6449(a,1),118(a,1,1)),flip(a)]. given #5868 (H,wt=10): 6489 L(x,T(y,z),K(u,y)) = x. [hyper(438,a,6451,a)]. given #5869 (H,wt=19): 6458 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5026,a,6448,a)]. given #5870 (H,wt=17): 6491 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4956(a,1),6458(a,2,1))]. given #5871 (H,wt=19): 6465 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(240,a,5634,a(flip),b,6459,a(flip)),flip(a)]. given #5872 (H,wt=19): 6466 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6459(a,1),42(a,2,1))]. given #5873 (H,wt=19): 6474 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4884(a,1),6470(a,1,1,2)),flip(a)]. given #5874 (H,wt=20): 6427 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6425(a,1,2,1))]. given #5875 (H,wt=20): 6444 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6442(a,2,2,1))]. given #5876 (H,wt=19): 6493 K(x / y,(x / y) / z) = K(x / y,x / (z * y)). [hyper(3898,a,6444,a)]. given #5877 (H,wt=19): 6494 K(x / y,x / (z * y)) = K(x / y,z \ (x / y)). [hyper(6224,a,6493,a),flip(a)]. given #5878 (H,wt=20): 6453 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(240,a,5599,a(flip),b,6450,a)]. given #5879 (H,wt=20): 6479 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(240,a,5604,a,b,6447,a)]. given #5880 (H,wt=20): 6490 L(T(x,y) \ z,T(u,w),K(v5,u)) = x \ (K(y,x) * z). [hyper(240,a,5079,a,b,6489,a)]. given #5881 (H,wt=21): 6428 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6426(a,2),5227(a,2,1,2))]. given #5882 (H,wt=21): 6456 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(6450(a,2),5612(a,1))]. given #5883 (H,wt=21): 6473 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(6469(a,1),5318(a,1,2,1,2))]. given #5884 (H,wt=15): 6498 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5320,a,6473,a),flip(a)]. given #5885 (H,wt=21): 6482 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1600(a,1),6478(a,1,2)),flip(a)]. given #5886 (H,wt=21): 6495 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(172(a,2),6453(a,1,2))]. given #5887 (H,wt=21): 6497 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(240,a,5937,a(flip),b,6428,a)]. given #5888 (H,wt=17): 6500 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6289,a,6497,a)]. given #5889 (H,wt=14): 6501 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(4041,a,6500,a),flip(a)]. given #5890 (H,wt=19): 6502 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6501(a,1),1172(a,1,2))]. given #5891 (H,wt=19): 6503 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(240,a,271,a(flip),b,6502,a(flip)),flip(a)]. given #5892 (H,wt=15): 6505 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(240,a,3636,a(flip),b,6503,a(flip)),flip(a)]. given #5893 (H,wt=13): 6506 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1732,a,6505,a)]. given #5894 (H,wt=13): 6509 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6506(a,1),16(a,1,1))]. given #5895 (H,wt=15): 6507 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(182,a,6505,a,b,1170,a)]. given #5896 (H,wt=20): 6508 R(x,y,z) \ x != x * u | T(1 / R(x,y,z),x) = u. [para(6505(a,1),183(a,2)),flip(a)]. given #5897 (H,wt=21): 6499 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4630(a,1),6482(a,1,2,1))]. given #5898 (H,wt=21): 6510 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6506(a,2),5364(a,1,2,1))]. given #5899 (H,wt=22): 6438 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(240,a,5223,a(flip),b,6434,a(flip))]. given #5900 (H,wt=22): 6440 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(167,a,6436,a)]. given #5901 (H,wt=17): 6512 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(73,a,6449,a(flip),b,6440,a(flip)),flip(a)]. given #5902 (H,wt=17): 6513 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5333(a,1),6512(a,1,1))]. given #5903 (H,wt=22): 6441 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(5054(a,1),6436(a,1,2,1))]. given #5904 (H,wt=22): 6467 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6459(a,1),5342(a,1,1))]. given #5905 (H,wt=22): 6487 x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. [para(5728(a,2),6483(a,1))]. given #5906 (H,wt=20): 6514 K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. [para(5714(a,1),6487(a,1))]. given #5907 (H,wt=22): 6488 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6338(a,2),6483(a,1))]. given #5908 (H,wt=23): 6485 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(119(a,2),6483(a,1,2,1))]. given #5909 (H,wt=24): 6476 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(6470(a,1),6126(a,1,2))]. given #5910 (H,wt=24): 6496 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6479(a,1),42(a,2,1))]. given #5911 (H,wt=24): 6511 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6506(a,1),6442(a,1,1,2))]. given #5912 (H,wt=25): 6461 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(148(a,1),6448(a,1,2,2)),flip(a)]. given #5913 (H,wt=25): 6486 K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (z \ u))) = w. [para(490(a,2),6483(a,1,2,1))]. given #5914 (H,wt=26): 6477 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5918(a,1),6472(a,1,2,1))]. given #5915 (H,wt=26): 6515 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6464(a,1),6461(a,1,1))]. given #5916 (H,wt=22): 6516 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(240,a,6354,a(flip),b,6515,a(flip))]. given #5917 (H,wt=26): 6517 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6516(a,1),5184(a,1,2,1)),flip(a)]. given #5918 (H,wt=25): 6518 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6517(a,2),5194(a,1))]. given #5919 (H,wt=28): 5567 L(x \ y,z,u) * (T(x,L(x \ y,z,u)) * w) = L(y / x,z,u) * (x * w). [para(620(a,1),5384(a,1,1)),flip(a)]. given #5920 (H,wt=28): 5675 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(5674(a,1),203(a,1,2)),flip(a)]. given #5921 (H,wt=26): 6519 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5674(a,1),5675(a,1,3)),flip(a)]. given #5922 (H,wt=28): 5744 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(1936(a,1),5403(a,1,2))]. given #5923 (H,wt=24): 6521 K((x \ y) \ 1,T(x,z)) != u | K((T(x,z) \ T(y,z)) \ 1,x) = u. [para(5529(a,1),5744(a,1))]. given #5924 (H,wt=19): 6522 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(6521,a,6019,a)]. given #5925 (H,wt=17): 6523 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6238,a,6522,a)]. given #5926 (H,wt=19): 6524 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6523(a,1),4980(a,1,2)),flip(a)]. given #5927 (H,wt=17): 6525 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(240,a,4980,a(flip),b,6524,a)]. given #5928 (H,wt=28): 5754 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5632(a,1),667(a,1,2))]. given #5929 (H,wt=21): 6526 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5011,a,5754,a),flip(a)]. given #5930 (H,wt=19): 6527 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1728(a,1),6526(a,1,1))]. given #5931 (H,wt=17): 6528 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(240,a,6507,a(flip),b,6527,a)]. given #5932 (H,wt=17): 6529 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(6506(a,1),6528(a,1,1))]. given #5933 (H,wt=17): 6530 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(182,a,6529,a,b,3670,a)]. given #5934 (H,wt=12): 6532 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6530,a)]. given #5935 (H,wt=14): 6533 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6532(a,1),5576(a,1,1,1))]. given #5936 (H,wt=24): 6531 R(x,y,z) \ 1 != (x \ 1) * u | T(R(x,y,z) \ x,x \ 1) = u. [para(6529(a,1),183(a,2)),flip(a)]. given #5937 (H,wt=28): 5808 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4898(a,1),5422(a,1))]. given #5938 (H,wt=28): 5949 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(5941(a,1),760(a,1,2,1))]. given #5939 (H,wt=28): 6310 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2676(a,2),6169(a,1))]. given #5940 (H,wt=28): 6373 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4935(a,1),898(a,1,1,1))]. given #5941 (H,wt=24): 6535 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),6373(a,2,1,1))]. given #5942 (H,wt=28): 6422 ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. [para(6421(a,1),19(a,1)),flip(a)]. given #5943 (H,wt=28): 6492 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(500(a,1),6427(a,1,2,1)),flip(a)]. given #5944 (H,wt=26): 6536 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(240,a,5604,a(flip),b,6492,a)]. given #5945 (H,wt=24): 6537 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(240,a,6431,a(flip),b,6536,a(flip)),flip(a)]. given #5946 (H,wt=24): 6538 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6198(a,1),6537(a,1,1))]. given #5947 (H,wt=22): 6539 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(240,a,6354,a(flip),b,6538,a(flip))]. given #5948 (H,wt=24): 6540 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6539(a,1,2,1,1)),flip(a)]. given #5949 (H,wt=22): 6542 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(240,a,6352,a(flip),b,6540,a(flip))]. given #5950 (H,wt=29): 4986 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(4977(a,1),1922(a,2,1,2,1))]. given #5951 (H,wt=27): 6543 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(5674(a,1),4986(a,1,2,1))]. given #5952 (H,wt=29): 5216 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y * K(z,y),y \ K(y,z)). [para(5119(a,1),678(a,1,2,3)),flip(a)]. given #5953 (H,wt=29): 5224 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5190(a,1),1712(a,1,2,2,1))]. given #5954 (H,wt=27): 6544 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(192(a,1),5224(a,1,2)),flip(a)]. given #5955 (H,wt=25): 6545 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4977(a,1),6544(a,1,1,2,1))]. given #5956 (H,wt=29): 5225 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5190(a,1),1756(a,1,2,2,1))]. given #5957 (H,wt=27): 6546 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(193(a,1),5225(a,1,2)),flip(a)]. given #5958 (H,wt=25): 6547 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4977(a,1),6546(a,1,1,2,1))]. given #5959 (H,wt=29): 5226 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) != w | y * K(x * L(y,z,u),y) = w. [para(1599(a,1),4840(a,1,1))]. given #5960 (H,wt=29): 5345 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5166(a,1),442(a,1,1))]. given #5961 (H,wt=29): 5622 L((1 / x) \ y,1 / x,K(x \ 1,x)) != z | K(x \ 1,x) * ((x \ 1) \ y) = z. [para(1477(a,2),5331(a,1))]. given #5962 (H,wt=29): 5720 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(366(a,1),5617(a,1,2,2,1,2))]. given #5963 (H,wt=29): 5742 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(172(a,1),5313(a,2,3))]. given #5964 (H,wt=27): 6549 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5535(a,1),5742(a,1,1))]. given #5965 (H,wt=27): 6550 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5360(a,1),6549(a,1,1,1))]. given #5966 (H,wt=29): 5773 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(123(a,2),5569(a,1,2,2,1))]. given #5967 (H,wt=25): 6551 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(240,a,1794,a(flip),b,5773,a)]. given #5968 (H,wt=23): 6552 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(240,a,4046,a(flip),b,6551,a)]. given #5969 (H,wt=29): 5775 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(5774(a,1),191(a,1,2,1))]. given #5970 (H,wt=29): 5793 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5791(a,1),1775(a,2,2,1))]. given #5971 (H,wt=29): 6058 (((x * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(6043(a,1),5843(a,2,2))]. given #5972 (H,wt=29): 6151 (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(929(a,1),6098(a,1,2))]. given #5973 (H,wt=23): 6554 (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(2915(a,1),6151(a,1,2,1))]. given #5974 (H,wt=22): 6555 ((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1). [para(203(a,1),6554(a,1,2)),flip(a)]. given #5975 (H,wt=26): 6556 (x * y) / R(y,x,x \ 1) != z | L((x \ 1) \ 1,x \ 1,x * y) = z. [para(6555(a,1),390(a,1))]. given #5976 (H,wt=29): 6157 R(x,x \ y,z) * T((x \ y) * z,u) != w | (y * z) * K((x \ y) * z,u) = w. [para(115(a,2),5978(a,1,1))]. given #5977 (H,wt=29): 6378 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5451(a,1),6377(a,1,2,2,1)),flip(a)]. given #5978 (H,wt=27): 6558 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5218(a,1),6378(a,1,2,2,1,1))]. given #5979 (H,wt=23): 6559 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4811(a,1),6558(a,1,2,2,1)),flip(a)]. given #5980 (H,wt=29): 6385 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(73,a,4837,a(flip),b,4782,a),flip(a)]. given #5981 (H,wt=29): 6520 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(6519(a,1),20(a,1))]. given #5982 (H,wt=29): 6548 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5166(a,1),5345(a,1,2))]. given #5983 (H,wt=20): 6561 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(240,a,6375,a(flip),b,6548,a(flip))]. given #5984 (H,wt=29): 6560 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(240,a,970,a(flip),b,6385,a(flip)),flip(a)]. given #5985 (H,wt=30): 5592 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4215(a,1),4996(a,2,1,1))]. given #5986 (H,wt=30): 5758 (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),5036(a,2,2))]. given #5987 (H,wt=26): 6562 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3147(a,1),5758(a,1,2,1,1))]. given #5988 (H,wt=22): 6563 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3022(a,1),6562(a,1,2))]. given #5989 (H,wt=30): 5786 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(5767(a,1),472(a,1))]. given #5990 (H,wt=30): 6028 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5955(a,2),3211(a,1,1,1)),flip(a)]. given #5991 (H,wt=27): 6564 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(6456,a,6028,a),flip(a)]. given #5992 (H,wt=27): 6566 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1545(a,1),6564(a,1,1))]. given #5993 (H,wt=23): 6567 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(240,a,5483,a(flip),b,6566,a(flip)),flip(a)]. given #5994 (H,wt=30): 6247 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6012(a,1),2715(a,1,2))]. given #5995 (H,wt=25): 6568 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6262(a,1),6247(a,1,1))]. given #5996 (H,wt=25): 6569 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(6568(a,1),16(a,1,1)),flip(a)]. given #5997 (H,wt=30): 6340 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6339(a,1),491(a,1,1))]. given #5998 (H,wt=25): 6570 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(240,a,6444,a(flip),b,6340,a(flip))]. given #5999 (H,wt=25): 6571 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4715(a,1),6570(a,1,1))]. given #6000 (H,wt=19): 6572 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6488,a,6571,a)]. given #6001 (H,wt=30): 6374 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(864(a,1),5047(a,1,2))]. given #6002 (H,wt=30): 6574 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1708(a,2),6374(a,1,2))]. given #6003 (H,wt=27): 6575 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(230,a,6574,a)]. given #6004 (H,wt=23): 6576 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5660(a,1),6575(a,1,2)),flip(a)]. given #6005 (H,wt=21): 6577 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5078(a,1),6576(a,2,2))]. given #6006 (H,wt=21): 6578 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(65(a,1),6577(a,1,1,2,1))]. given #6007 (H,wt=17): 6579 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(65(a,1),6578(a,2,2,1,2))]. given #6008 (H,wt=17): 6580 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(73,a,810,a(flip),b,6579,a(flip))]. given #6009 (H,wt=17): 6581 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(73,a,6579,a(flip),b,6336,a(flip))]. given #6010 (H,wt=12): 6588 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5050,a,6581,a)]. given #6011 (H,wt=12): 6591 L(K(x,y),1 / y,z) = K(x,y). [hyper(240,a,4668,a,b,6588,a(flip)),flip(a)]. given #6012 (H,wt=15): 6589 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6581(a,1),5050(a,1))]. given #6013 (H,wt=15): 6590 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6380,a,6588,a)]. given #6014 (H,wt=17): 6584 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4757(a,1),6579(a,2,2))]. given #6015 (H,wt=17): 6587 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(240,a,630,a(flip),b,6580,a)]. given #6016 (H,wt=17): 6594 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(6326,a,6590,a)]. given #6017 (H,wt=17): 6595 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(240,a,5489,a,b,6590,a(flip)),flip(a)]. given #6018 (H,wt=17): 6596 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(240,a,6336,a(flip),b,6584,a(flip)),flip(a)]. given #6019 (H,wt=17): 6597 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6587(a,1),4531(a,1,1)),flip(a)]. given #6020 (H,wt=19): 6586 T(x,x \ (y \ 1)) \ 1 = y * T(y \ (x \ 1),x). [hyper(4533,a,6580,a),flip(a)]. given #6021 (H,wt=19): 6592 (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). [para(6591(a,1),106(a,1,2))]. given #6022 (H,wt=10): 6600 R(x,1 / y,K(z,y)) = x. [hyper(472,a,6592,a)]. given #6023 (H,wt=10): 6601 R(x,y \ 1,K(z,y)) = x. [hyper(240,a,4684,a(flip),b,6600,a(flip)),flip(a)]. given #6024 (H,wt=10): 6602 R(x,y,K(z,y \ 1)) = x. [para(62(a,1),6600(a,1,2))]. given #6025 (H,wt=12): 6604 R(x,y \ z,K(u,z \ y)) = x. [para(6111(a,1),6602(a,1,3))]. given #6026 (H,wt=19): 6599 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(3897,a,6597,a)]. given #6027 (H,wt=19): 6603 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6602(a,1),118(a,1,1)),flip(a)]. given #6028 (H,wt=19): 6605 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6604(a,1),468(a,1,1))]. given #6029 (H,wt=23): 6598 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6594(a,1),4659(a,2,1))]. given #6030 (H,wt=23): 6609 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6598(a,1),5714(a,1,2)),flip(a)]. given #6031 (H,wt=19): 6610 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(240,a,5184,a(flip),b,6609,a)]. given #6032 (H,wt=15): 6613 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(240,a,6202,a(flip),b,6610,a(flip)),flip(a)]. given #6033 (H,wt=17): 6611 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(6514,a,6610,a)]. given #6034 (H,wt=17): 6614 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(240,a,5763,a,b,6613,a(flip)),flip(a)]. given #6035 (H,wt=23): 6615 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6614(a,1),4660(a,2,2))]. given #6036 (H,wt=24): 6582 (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. [para(6579(a,2),517(a,1))]. given #6037 (H,wt=25): 6608 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6605(a,1),6343(a,1,2))]. given #6038 (H,wt=17): 6617 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(6256,a,6608,a),flip(a)]. given #6039 (H,wt=11): 6619 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,6617,a)]. given #6040 (H,wt=11): 6622 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),6619(a,1,2,1))]. given #6041 (H,wt=11): 6626 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,6622,a)]. given #6042 (H,wt=17): 6627 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,6622,a)]. given #6043 (H,wt=18): 6630 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(171(a,2),6627(a,1,1,2))]. given #6044 (H,wt=19): 6620 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. [para(6617(a,1),209(a,1,2))]. given #6045 (H,wt=19): 6624 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(2196,a,6622,a),flip(a)]. given #6046 (H,wt=22): 6628 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(6622(a,1),387(a,1))]. given #6047 (H,wt=26): 6616 (x * y) * (z * (((x * y) \ x) / z)) != x * u | K(z,y \ (z \ 1)) = u. [para(6615(a,2),19(a,1))]. given #6048 (H,wt=31): 5091 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(4783(a,1),442(a,1,1)),flip(a)]. given #6049 (H,wt=25): 6632 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4783(a,1),5091(a,2,2))]. given #6050 (H,wt=20): 6633 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(240,a,28,a,b,6632,a)]. given #6051 (H,wt=23): 6634 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6632(a,2),449(a,1))]. given #6052 (H,wt=31): 5964 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5928(a,1),865(a,1,2,1))]. given #6053 (H,wt=31): 5996 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5956(a,1),5504(a,1,2))]. given #6054 (H,wt=31): 6177 (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. [hyper(75,a,4629,a(flip),b,5922,a),flip(a)]. given #6055 (H,wt=31): 6366 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = (z / L(x \ 1,x,y)) * K(x \ 1,x). [hyper(75,a,6295,a(flip),b,6192,a)]. given #6056 (H,wt=25): 6637 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = z / L(1 / x,x,y). [hyper(240,a,6379,a(flip),b,6366,a)]. given #6057 (H,wt=31): 6573 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(122(a,1),6572(a,1,2,2)),flip(a)]. given #6058 (H,wt=31): 6636 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(240,a,4535,a,b,5964,a),flip(a)]. given #6059 (H,wt=23): 6638 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4048(a,1),6636(a,1,1)),flip(a)]. given #6060 (H,wt=23): 6639 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(6638(a,1),5996(a,1,1)),flip(a)]. given #6061 (H,wt=19): 6640 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(240,a,5110,a(flip),b,6639,a)]. given #6062 (H,wt=32): 5283 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * K(u,L(z,y,x) \ 1). [para(4790(a,1),2414(a,2,2))]. given #6063 (H,wt=28): 6641 (x * y) \ (x * ((y * z) * ((u * ((y * z) \ y)) / u))) = K(u,L(z,y,x) \ 1). [hyper(1798,a,5283,a)]. given #6064 (H,wt=22): 6642 (x * y) \ (x * (y * K(z,u \ 1))) = K(z,L(u,y,x) \ 1). [para(5278(a,1),6641(a,1,2,2))]. given #6065 (H,wt=17): 6643 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(449,a,6642,a)]. given #6066 (H,wt=14): 6645 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(240,a,4469,a(flip),b,6643,a(flip))]. given #6067 (H,wt=17): 6646 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3449(a,1),6643(a,1,1)),flip(a)]. given #6068 (H,wt=17): 6647 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(3451(a,2),6643(a,1,1))]. given #6069 (H,wt=17): 6650 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6646(a,1),5649(a,1,1)),flip(a)]. given #6070 (H,wt=15): 6653 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(5220,a,6650,a)]. given #6071 (H,wt=15): 6654 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(380,a,6650,a)]. given #6072 (H,wt=15): 6657 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(240,a,6274,a,b,6653,a(flip)),flip(a)]. given #6073 (H,wt=15): 6659 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6657(a,1,2,2)),flip(a)]. given #6074 (H,wt=14): 6663 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(240,a,4463,a(flip),b,6659,a(flip))]. given #6075 (H,wt=14): 6664 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(240,a,4443,a(flip),b,6659,a(flip))]. given #6076 (H,wt=17): 6652 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [hyper(240,a,3451,a,b,6647,a)]. given #6077 (H,wt=17): 6655 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(242,a,6650,a),flip(a)]. given #6078 (H,wt=17): 6660 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),6657(a,1,2,2)),flip(a)]. given #6079 (H,wt=18): 6656 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6650(a,2),85(a,1)),flip(b)]. given #6080 (H,wt=18): 6658 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6653(a,1),298(a,1,2)),flip(b)]. given #6081 (H,wt=18): 6670 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(108(a,1),6660(a,2,2))]. given #6082 (H,wt=15): 6675 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(5993,a,6670,a),flip(a)]. given #6083 (H,wt=13): 6679 K(x,(y \ 1) \ x) = K(x,y * x). [para(129(a,1),6675(a,1,2)),flip(a)]. given #6084 (H,wt=11): 6682 K(x,y * x) = K(x,x * y). [hyper(240,a,5362,a(flip),b,6679,a(flip))]. given #6085 (H,wt=11): 6683 K(x,x * (y / x)) = K(x,y). [para(16(a,1),6682(a,1,2)),flip(a)]. given #6086 (H,wt=15): 6677 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6675(a,1,2,1)),flip(a)]. given #6087 (H,wt=15): 6686 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4524(a,1),6683(a,1,2)),flip(a)]. given #6088 (H,wt=16): 6685 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(6682(a,2),5500(a,1,2))]. given #6089 (H,wt=17): 6680 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6675(a,1),4800(a,2,2))]. given #6090 (H,wt=15): 6688 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(240,a,4800,a,b,6680,a)]. given #6091 (H,wt=15): 6689 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6688(a,1,2,1)),flip(a)]. given #6092 (H,wt=18): 6672 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(454(a,1),6660(a,2,2))]. given #6093 (H,wt=18): 6674 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6274(a,2),6656(a,1))]. given #6094 (H,wt=18): 6676 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6670(a,1),5993(a,1))]. given #6095 (H,wt=19): 6678 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6675(a,1,2,2))]. given #6096 (H,wt=19): 6681 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5178(a,1),6675(a,1,2,1)),flip(a)]. given #6097 (H,wt=20): 6649 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6645(a,2),4473(a,1,2))]. given #6098 (H,wt=15): 6694 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(240,a,5322,a(flip),b,6649,a(flip)),flip(a)]. given #6099 (H,wt=15): 6696 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6694(a,1),16(a,1,1))]. given #6100 (H,wt=13): 6697 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1614,a,6696,a)]. given #6101 (H,wt=13): 6699 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6697(a,1),16(a,1,1))]. given #6102 (H,wt=13): 6700 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6697(a,1),65(a,1,1))]. given #6103 (H,wt=16): 6701 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(6699(a,1),299(a,1,1)),flip(b)]. given #6104 (H,wt=18): 6698 L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. [hyper(240,a,318,a(flip),b,6697,a(flip))]. given #6105 (H,wt=20): 6661 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6657(a,2),106(a,1,2))]. given #6106 (H,wt=20): 6668 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6655(a,1),19(a,1)),flip(a)]. given #6107 (H,wt=20): 6669 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6655(a,1),241(a,1,2)),flip(b)]. given #6108 (H,wt=20): 6671 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(235(a,1),6660(a,2,2))]. given #6109 (H,wt=20): 6673 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3575(a,1),6660(a,2,2))]. given #6110 (H,wt=20): 6703 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(65(a,1),6671(a,1,1,2)),flip(a)]. given #6111 (H,wt=20): 6705 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(240,a,5522,a(flip),b,6673,a)]. given #6112 (H,wt=20): 6706 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(65(a,1),6705(a,1,1,2)),flip(a)]. given #6113 (H,wt=21): 6662 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(5924(a,1),6657(a,1,2,2)),flip(a)]. given #6114 (H,wt=21): 6687 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(240,a,6499,a(flip),b,6677,a(flip))]. given #6115 (H,wt=21): 6693 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(110(a,1),6674(a,1,2))]. given #6116 (H,wt=21): 6702 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6700(a,1),6599(a,2,1,1))]. given #6117 (H,wt=21): 6707 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1303(a,1),6687(a,1,2)),flip(a)]. given #6118 (H,wt=21): 6708 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(62(a,1),6693(a,1,2,1,2))]. given #6119 (H,wt=22): 6644 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(6642(a,1),14(a,1,2))]. given #6120 (H,wt=22): 6665 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6664(a,2),4388(a,1,2))]. given #6121 (H,wt=22): 6691 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6672(a,1),40(a,2,1))]. given #6122 (H,wt=22): 6692 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(6672(a,1),5397(a,1)),flip(b)]. given #6123 (H,wt=23): 6651 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6646(a,1),6643(a,1,1)),flip(a)]. given #6124 (H,wt=23): 6690 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(240,a,6263,a(flip),b,6672,a(flip))]. given #6125 (H,wt=21): 6713 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6690(a,2,1))]. given #6126 (H,wt=23): 6709 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(14(a,1),6708(a,1,2,2))]. given #6127 (H,wt=24): 6648 L(x,y,z) \ K(x,L(x,u,w) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(73,a,6645,a,b,4470,a)]. given #6128 (H,wt=17): 6715 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(240,a,6649,a(flip),b,6648,a(flip))]. given #6129 (H,wt=21): 6716 L(x \ 1,y,z) \ (x \ 1) = x \ (1 / L(x \ 1,y,z)). [hyper(73,a,6715,a(flip),b,139,a(flip)),flip(a)]. given #6130 (H,wt=21): 6717 L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). [para(2437(a,1),6716(a,2,2))]. given #6131 (H,wt=24): 6704 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5183(a,1),6671(a,1,1,2))]. given #6132 (H,wt=25): 6710 (x * y) * z != x * (y * K(u,w \ 1)) | K(u,L(w,y,x) \ 1) = z. [para(6644(a,1),19(a,1)),flip(a)]. given #6133 (H,wt=25): 6712 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6664(a,2),6665(a,2,2,2))]. given #6134 (H,wt=20): 6721 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(5804,a,6712,a)]. given #6135 (H,wt=26): 6666 L(K(L(x,y,z),1 / x),y,z) != u | K(L(x,y,z),L(x,y,z) \ 1) = u. [para(6652(a,2),1463(a,1))]. given #6136 (H,wt=26): 6722 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6721(a,1),2943(a,1,1))]. given #6137 (H,wt=26): 6723 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6721(a,1),3067(a,1,1))]. given #6138 (H,wt=24): 6725 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(240,a,122,a(flip),b,6723,a)]. given #6139 (H,wt=26): 6724 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2443(a,2),6722(a,2,2))]. given #6140 (H,wt=19): 6727 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(240,a,6725,a(flip),b,6724,a(flip))]. given #6141 (H,wt=19): 6728 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6727(a,1),65(a,1,1))]. given #6142 (H,wt=19): 6729 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6728(a,1),6702(a,1,1))]. given #6143 (H,wt=23): 6730 (L(1 / x,y,z) \ 1) * (1 / x) = L(x \ 1,y,z) \ (1 / x). [para(65(a,1),6729(a,1,1,1,1)),flip(a)]. given #6144 (H,wt=28): 6684 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(94(a,1),6682(a,2,2))]. given #6145 (H,wt=30): 6718 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5785(a,2),6704(a,2,2,1))]. given #6146 (H,wt=30): 6719 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6301(a,2),6704(a,2,2,1))]. given #6147 (H,wt=30): 6732 (L(1 / (x \ y),x \ y,x) \ 1) * (1 / (x \ y)) = (y \ (x * 1)) \ (1 / (x \ y)). [para(454(a,1),6730(a,2,1))]. given #6148 (H,wt=27): 6733 ((1 / (1 / (x \ y))) \ 1) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). [para(2293(a,1),6732(a,1,1,1))]. given #6149 (H,wt=23): 6734 (x \ (y * 1)) \ (1 / (y \ x)) = (1 / (x \ y)) * (1 / (y \ x)). [hyper(585,a,6733,a),flip(a)]. given #6150 (H,wt=21): 6736 (x \ (y * 1)) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [hyper(240,a,4657,a(flip),b,6734,a)]. given #6151 (H,wt=19): 6737 (x \ y) \ ((y \ x) \ 1) = (y \ x) \ (1 / (x \ y)). [para(12(a,1),6736(a,1,1,2)),flip(a)]. given #6152 (H,wt=23): 6738 ((x * y) \ x) \ (1 / (x \ (x * y))) = y \ (((x * y) \ x) \ 1). [para(13(a,1),6737(a,1,1)),flip(a)]. given #6153 (H,wt=23): 6739 (x \ (x * y)) \ (1 / ((x * y) \ x)) = ((x * y) \ x) \ (y \ 1). [para(13(a,1),6737(a,1,2,1)),flip(a)]. given #6154 (H,wt=19): 6740 ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). [para(13(a,1),6739(a,1,1)),flip(a)]. given #6155 (H,wt=22): 6742 (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. [para(6740(a,1),1308(a,1,2))]. given #6156 (H,wt=23): 6741 ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). [hyper(240,a,3821,a,b,6740,a(flip)),flip(a)]. given #6157 (H,wt=31): 6731 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6729(a,1),4082(a,2,1))]. given #6158 (H,wt=21): 6743 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4585,a(flip),b,6731,a)]. given #6159 (H,wt=32): 6175 K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. [para(1548(a,2),6139(a,1,2,1))]. given #6160 (H,wt=32): 6304 T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. [para(6251(a,1),218(a,1))]. given #6161 (H,wt=32): 6457 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(723(a,1),6455(a,1,1,1))]. given #6162 (H,wt=30): 6744 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5600,a,6457,a),flip(a)]. given #6163 (H,wt=28): 6746 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,5486,a(flip),b,6744,a)]. given #6164 (H,wt=26): 6747 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5600,a,6746,a)]. given #6165 (H,wt=24): 6749 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5597,a,6747,a)]. given #6166 (H,wt=33): 4944 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4791(a,2),1591(a,1,2)),flip(a)]. given #6167 (H,wt=29): 6750 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4791(a,2),4944(a,1,2,1,2,2))]. given #6168 (H,wt=27): 6751 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(240,a,2118,a(flip),b,6750,a(flip)),flip(a)]. given #6169 (H,wt=25): 6752 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(122(a,1),6751(a,1,1,2))]. given #6170 (H,wt=23): 6753 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4549(a,1),6752(a,1,1))]. given #6171 (H,wt=19): 6754 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(308,a,6753,a)]. given #6172 (H,wt=25): 6756 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(6754(a,1),6384(a,1,1))]. given #6173 (H,wt=17): 6757 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(308,a,6756,a),flip(a)]. given #6174 (H,wt=15): 6758 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(5981,a,6757,a)]. given #6175 (H,wt=13): 6760 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,263,a,b,6758,a)]. given #6176 (H,wt=17): 6762 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6760(a,1),5526(a,1,1,1,2))]. given #6177 (H,wt=14): 6764 L(x,x \ y,x) \ y = y / T(x,y). [para(5314(a,1),6762(a,1,1))]. given #6178 (H,wt=15): 6763 T(x / (x / y),z) \ x = x / T(y,z). [para(4735(a,2),6762(a,1,1,1))]. given #6179 (H,wt=15): 6766 x / (x / T(y,z)) = T(x / (x / y),z). [para(6763(a,1),62(a,1,2))]. given #6180 (H,wt=15): 6767 x / T(y \ x,z) = T(x / y,z) \ x. [para(62(a,1),6763(a,1,1,1,2)),flip(a)]. given #6181 (H,wt=15): 6768 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(144(a,1),6763(a,1,1,1)),flip(a)]. given #6182 (H,wt=15): 6774 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6767(a,1),65(a,1,1))]. given #6183 (H,wt=15): 6776 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(6768(a,1),65(a,1,1))]. given #6184 (H,wt=15): 6777 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(123(a,2),6768(a,1,2,1))]. given #6185 (H,wt=17): 6779 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(124(a,1),6776(a,1,1,1)),flip(a)]. given #6186 (H,wt=18): 6771 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(6766(a,1),250(a,1,1)),flip(b)]. given #6187 (H,wt=18): 6778 x / T(y \ x,z) != u | T(x / y,z) \ x = u. [para(6774(a,1),298(a,1,2)),flip(b)]. given #6188 (H,wt=19): 6775 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(6767(a,1),6361(a,1,2))]. given #6189 (H,wt=19): 6781 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(6777(a,1),6552(a,1,2))]. given #6190 (H,wt=19): 6783 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(6779(a,1),122(a,1,2)),flip(a)]. given #6191 (H,wt=19): 6786 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(240,a,6294,a,b,6775,a),flip(a)]. given #6192 (H,wt=23): 6761 K(T(x,y) \ z,T(x,u)) = T(x,u) \ T(x * K(x \ z,x),u). [para(6760(a,1),5318(a,1,2,1,2)),flip(a)]. given #6193 (H,wt=17): 6791 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [hyper(240,a,5318,a(flip),b,6761,a)]. given #6194 (H,wt=15): 6793 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [hyper(240,a,3284,a(flip),b,6791,a)]. given #6195 (H,wt=15): 6795 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(6239,a,6793,a)]. given #6196 (H,wt=20): 6792 K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(6761(a,2),5320(a,1))]. given #6197 (H,wt=22): 6804 K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(123(a,1),6792(a,1,1,1))]. given #6198 (H,wt=23): 6787 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6775(a,2),6419(a,1,1))]. given #6199 (H,wt=21): 6805 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6787(a,1,2))]. given #6200 (H,wt=23): 6789 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(62(a,1),6783(a,1,1,1,1)),flip(a)]. given #6201 (H,wt=23): 6794 K((x / y) \ z,T(x / y,u)) = K((y \ x) \ z,T(x / y,u)). [para(124(a,1),6791(a,1,1,1)),flip(a)]. given #6202 (H,wt=23): 6806 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(240,a,270,a,b,6789,a),flip(a)]. given #6203 (H,wt=15): 6807 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(18,a,1183,a,b,6806,a),flip(a)]. given #6204 (H,wt=13): 6808 T(x,T(x,y) \ z) = T(x,x \ z). [para(3958(a,2),6807(a,1,2,1))]. given #6205 (H,wt=13): 6812 T(x,x \ (T(x,y) * z)) = T(x,z). [para(13(a,1),6808(a,1,2)),flip(a)]. given #6206 (H,wt=11): 6813 T(x,K(x,y) * z) = T(x,z). [para(5053(a,1),6812(a,1,2))]. given #6207 (H,wt=11): 6817 T(x,K(y,x) * z) = T(x,z). [para(5178(a,1),6813(a,1,2)),flip(a)]. given #6208 (H,wt=13): 6814 T(x,K(x,y) * z) = x * K(x,z). [hyper(240,a,4800,a(flip),b,6813,a)]. given #6209 (H,wt=11): 6824 K(x,K(x,y) * z) = K(x,z). [hyper(4858,a,6814,a)]. given #6210 (H,wt=11): 6826 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),6824(a,1,2)),flip(a)]. given #6211 (H,wt=11): 6829 K(x,K(y,x) * z) = K(x,z). [para(5178(a,1),6824(a,1,2)),flip(a)]. given #6212 (H,wt=11): 6830 K(x,K(y,x) \ z) = K(x,z). [para(5183(a,2),6824(a,1,2))]. given #6213 (H,wt=13): 6816 T(x,T(y,x) \ z) = T(x,y \ z). [para(5078(a,1),6813(a,1,2))]. given #6214 (H,wt=13): 6828 K(x,T(x,y) * z) = K(x,x * z). [para(4815(a,1),6824(a,1,2))]. given #6215 (H,wt=13): 6833 K(x,y \ T(z,x)) = K(x,y \ z). [para(5480(a,1),6829(a,1,2))]. given #6216 (H,wt=14): 6815 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(240,a,3231,a(flip),b,6813,a)]. given #6217 (H,wt=14): 6825 T(x,K(x,y) * z) != u | T(x,z) = u. [para(6814(a,2),4803(a,1))]. given #6218 (H,wt=12): 6834 T(x,y) != z | T(x,T(y,x)) = z. [para(4769(a,1),6825(a,1,2))]. given #6219 (H,wt=14): 6832 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5635(a,1),6829(a,1,2,1))]. given #6220 (H,wt=14): 6838 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6459(a,1),6832(a,1,2,1))]. given #6221 (H,wt=12): 6839 K(x,T(y,R(x,z,u))) = K(x,y). [para(1127(a,2),6838(a,1,2))]. given #6222 (H,wt=14): 6843 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5178(a,1),6838(a,1,2)),flip(a)]. given #6223 (H,wt=15): 6831 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5530(a,1),6824(a,1,2)),flip(a)]. given #6224 (H,wt=16): 6835 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5078(a,1),6825(a,1,2))]. given #6225 (H,wt=16): 6837 (x / T(y,x)) * y != z | T(x,T(y,x)) = z. [para(3953(a,2),6834(a,1))]. given #6226 (H,wt=17): 6827 K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. [para(6824(a,1),4769(a,1,1))]. given #6227 (H,wt=17): 6840 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4774(a,1),6838(a,1,2)),flip(a)]. given #6228 (H,wt=17): 6841 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(4869(a,1),6838(a,1,2)),flip(a)]. given #6229 (H,wt=18): 6836 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(5530(a,1),6825(a,1,2))]. given #6230 (H,wt=19): 6819 T(x \ y,(y / x) \ z) = T(x \ y,(x \ y) \ z). [para(5325(a,1),6813(a,1,2))]. given #6231 (H,wt=19): 6842 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5078(a,1),6838(a,1,2))]. given #6232 (H,wt=19): 6844 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5102(a,1),6843(a,1,2))]. given #6233 (H,wt=19): 6845 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),6842(a,1,2,1))]. given #6234 (H,wt=23): 6823 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6817(a,1),4312(a,1,3))]. given #6235 (H,wt=21): 6846 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5079(a,1),6823(a,1,2))]. given #6236 (H,wt=19): 6847 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5079(a,1),6846(a,2,2))]. given #6237 (H,wt=22): 6848 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6847(a,1),435(a,1,2)),flip(a)]. given #6238 (H,wt=22): 6849 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3924(a,1),6848(a,1,2,1))]. given #6239 (H,wt=22): 6850 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3924(a,1),6849(a,2,2,2))]. given #6240 (H,wt=25): 6818 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6813(a,1),5311(a,1,1))]. given #6241 (H,wt=21): 6852 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6813(a,1),6818(a,1,2,2)),flip(a)]. given #6242 (H,wt=19): 6853 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(240,a,5311,a(flip),b,6852,a)]. given #6243 (H,wt=25): 6851 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6850(a,1),3944(a,1,1))]. given #6244 (H,wt=28): 6803 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(118(a,1),6795(a,1,1,1))]. given #6245 (H,wt=28): 6855 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(240,a,5313,a(flip),b,6853,a(flip))]. given #6246 (H,wt=28): 6856 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),6803(a,1,2))]. given #6247 (H,wt=22): 6857 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(240,a,3625,a(flip),b,6856,a)]. given #6248 (H,wt=33): 5207 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(5183(a,1),3660(a,1,1))]. given #6249 (H,wt=33): 6337 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(5855(a,1),5484(a,2,1,1))]. given #6250 (H,wt=23): 6859 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5285(a,1),6337(a,1,1,2))]. given #6251 (H,wt=19): 6860 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(240,a,649,a(flip),b,6859,a)]. given #6252 (H,wt=19): 6862 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(6860(a,1),16(a,1,1))]. given #6253 (H,wt=17): 6865 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(4769(a,1),6862(a,1,2)),flip(a)]. given #6254 (H,wt=15): 6866 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(17,a,6827,a,b,6865,a),flip(a)]. given #6255 (H,wt=15): 6868 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(5887,a,6866,a),flip(a)]. given #6256 (H,wt=15): 6869 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5886,a,6866,a)]. given #6257 (H,wt=15): 6872 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),6866(a,1,1)),flip(a)]. given #6258 (H,wt=15): 6875 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(13(a,1),6869(a,1,2,1)),flip(a)]. given #6259 (H,wt=15): 6877 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(6869(a,1),5888(a,1,1)),flip(a)]. given #6260 (H,wt=15): 6881 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(5951,a,6877,a)]. given #6261 (H,wt=13): 6889 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(182,a,6881,a(flip),b,5056,a)]. given #6262 (H,wt=13): 6891 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(421,a,6889,a)]. given #6263 (H,wt=13): 6896 T(1 / x,T(y,x)) = T(1 / x,y). [para(1986(a,1),6891(a,1,1)),flip(a)]. given #6264 (H,wt=13): 6897 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2007(a,1),6891(a,1,1)),flip(a)]. given #6265 (H,wt=13): 6898 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5695(a,1),6891(a,1,1)),flip(a)]. given #6266 (H,wt=15): 6892 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(124(a,1),6889(a,1,1)),flip(a)]. given #6267 (H,wt=15): 6893 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(176(a,1),6889(a,1,1)),flip(a)]. given #6268 (H,wt=15): 6894 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(6889(a,1),191(a,1,2)),flip(a)]. given #6269 (H,wt=15): 6899 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(240,a,6181,a,b,6892,a(flip)),flip(a)]. given #6270 (H,wt=15): 6902 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(6893(a,1),6179(a,1,2)),flip(a)]. given #6271 (H,wt=11): 6906 T(x / y,K(y,x)) = x / y. [hyper(17,a,4529,a(flip),b,6902,a(flip))]. given #6272 (H,wt=15): 6903 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(240,a,6178,a,b,6894,a),flip(a)]. given #6273 (H,wt=9): 6907 T(x,K(y,x * y)) = x. [hyper(18,a,3190,a(flip),b,6903,a(flip))]. given #6274 (H,wt=9): 6908 K(x,K(y,x * y)) = 1. [hyper(36,a,6907,a)]. given #6275 (H,wt=15): 6904 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(75,a,6179,a(flip),b,6894,a)]. given #6276 (H,wt=15): 6909 T(T(x,y) / z,K(z,x)) = T(x,y) / z. [para(3195(a,1),6904(a,1,1)),flip(a)]. given #6277 (H,wt=15): 6910 T(T(x,y) / z,K(x,z)) = T(x,y) / z. [para(6909(a,1),5690(a,1,1))]. given #6278 (H,wt=16): 6895 T(x,T(y,z)) != u | T(T(x,y),K(y,z)) = u. [para(6891(a,1),421(a,1))]. given #6279 (H,wt=16): 6901 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6893(a,1),660(a,1,1))]. given #6280 (H,wt=16): 6912 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(38(a,1),6901(a,1))]. given #6281 (H,wt=17): 6874 x * T(K(x,y) * z,x) = K(x,y) * (z * x). [para(6866(a,2),5330(a,1,2))]. given #6282 (H,wt=15): 6913 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(231,a,6874,a)]. given #6283 (H,wt=8): 6915 L(x,y,K(x,z)) = x. [hyper(4679,a,6913,a)]. given #6284 (H,wt=10): 6914 R(K(x,y),z,x) = K(x,y). [hyper(4689,a,6913,a)]. given #6285 (H,wt=10): 6925 K(x,R(y,z,x)) = K(x,y). [hyper(240,a,6459,a(flip),b,6914,a(flip)),flip(a)]. given #6286 (H,wt=10): 6927 K(R(x,y,x),z) = K(x,z). [hyper(240,a,6354,a(flip),b,6914,a(flip)),flip(a)]. given #6287 (H,wt=11): 6922 L(x,y,T(x,z)) = L(x,y,x). [para(6915(a,1),6389(a,1,1)),flip(a)]. given #6288 (H,wt=12): 6921 L(K(x,y),z,K(x,u)) = K(x,y). [para(6915(a,1),6271(a,1,1)),flip(a)]. given #6289 (H,wt=12): 6923 L(K(x,y),z,K(y,u)) = K(x,y). [para(6915(a,1),6657(a,1,2)),flip(a)]. given #6290 (H,wt=12): 6928 T(x,R(y,z,x)) = x * K(x,y). [para(6925(a,1),4800(a,2,2))]. given #6291 (H,wt=10): 6944 T(x,R(y,z,x)) = T(x,y). [hyper(240,a,4800,a,b,6928,a)]. given #6292 (H,wt=12): 6931 K(x,R(y,z,y)) = 1 / K(y,x). [para(6927(a,1),4980(a,1,2)),flip(a)]. given #6293 (H,wt=10): 6954 K(x,R(y,z,y)) = K(x,y). [hyper(240,a,4980,a(flip),b,6931,a)]. given #6294 (H,wt=10): 6956 R(K(x,y),z,y) = K(x,y). [hyper(240,a,6491,a(flip),b,6954,a(flip)),flip(a)]. given #6295 (H,wt=12): 6937 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(240,a,6659,a(flip),b,6921,a(flip)),flip(a)]. given #6296 (H,wt=13): 6940 x / T(K(y,z),x) = K(y,z) \ x. [para(6921(a,1),6764(a,1,1)),flip(a)]. given #6297 (H,wt=13): 6955 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6931(a,2),4982(a,1))]. given #6298 (H,wt=13): 6957 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4224(a,1),6954(a,1,2))]. given #6299 (H,wt=11): 6964 K(x,T(y,z)) = T(K(x,y),z). [hyper(240,a,6209,a(flip),b,6957,a(flip))]. given #6300 (H,wt=11): 6982 K(x,T(y,K(x,z))) = K(x,y). [hyper(240,a,5694,a(flip),b,6964,a)]. given #6301 (H,wt=11): 6984 K(x,T(y,K(z,x))) = K(x,y). [hyper(240,a,2158,a(flip),b,6964,a)]. given #6302 (H,wt=12): 6983 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(240,a,3061,a(flip),b,6964,a)]. given #6303 (H,wt=13): 6961 x / T(K(y,z),x) = K(z,y) * x. [hyper(240,a,5183,a(flip),b,6940,a)]. given #6304 (H,wt=13): 6965 K(x,T(y,y * z)) = K(x,T(y,z)). [para(13(a,1),6957(a,1,2,2)),flip(a)]. given #6305 (H,wt=13): 6966 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(123(a,1),6957(a,1,2))]. given #6306 (H,wt=13): 6967 K(x,T(y / z,y)) = K(x,z \ y). [para(589(a,1),6957(a,1,2)),flip(a)]. given #6307 (H,wt=13): 6970 T(K(x * y,x),y) = K(x * y,x). [hyper(6218,a,6964,a),flip(a)]. given #6308 (H,wt=13): 6974 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(240,a,6007,a,b,6964,a),flip(a)]. given #6309 (H,wt=9): 7010 T(x,K(y,T(x,z))) = x. [para(6974(a,1),3190(a,1,2))]. given #6310 (H,wt=11): 7013 T(x,T(y,T(x,z))) = T(x,y). [para(7010(a,1),6891(a,1,1)),flip(a)]. given #6311 (H,wt=12): 7011 R(x,y \ 1,K(z,T(y,u))) = x. [para(6974(a,1),6601(a,1,3))]. given #6312 (H,wt=13): 6979 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(240,a,6211,a(flip),b,6964,a)]. given #6313 (H,wt=13): 6980 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(240,a,6055,a(flip),b,6964,a)]. given #6314 (H,wt=13): 6981 K(x / y,T(z,x)) = K(y \ x,z). [hyper(240,a,6009,a(flip),b,6964,a)]. given #6315 (H,wt=13): 6988 x * K(y,T(z,x)) = K(y,z) * x. [para(6964(a,2),122(a,1,2))]. given #6316 (H,wt=13): 6996 x * T(K(x,y),z) = T(x,T(y,z)). [para(6964(a,1),4800(a,2,2)),flip(a)]. given #6317 (H,wt=13): 7004 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6889(a,1),6984(a,1,2))]. given #6318 (H,wt=13): 7005 (K(x,y) * z) \ z = T(K(y,x),z). [para(6961(a,1),65(a,1,1))]. given #6319 (H,wt=13): 7025 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5191,a,6988,a(flip))]. given #6320 (H,wt=13): 7042 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(240,a,6964,a,b,7005,a)]. given #6321 (H,wt=13): 7043 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7042(a,1),14(a,1,2))]. given #6322 (H,wt=14): 6929 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6459(a,1),6925(a,1,2))]. given #6323 (H,wt=14): 7014 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4777(a,1),7011(a,1,3,2))]. given #6324 (H,wt=12): 7047 R(x,y \ K(y,z),K(u,y)) = x. [para(5119(a,1),7014(a,1,2))]. given #6325 (H,wt=15): 6916 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(240,a,5059,a(flip),b,6913,a)]. given #6326 (H,wt=15): 6926 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(240,a,6445,a(flip),b,6914,a(flip)),flip(a)]. given #6327 (H,wt=15): 6930 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(6927(a,1),4800(a,2,2)),flip(a)]. given #6328 (H,wt=15): 6934 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6922(a,1),40(a,2,1))]. given #6329 (H,wt=14): 7053 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(240,a,591,a(flip),b,6934,a)]. given #6330 (H,wt=15): 6939 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6921(a,1),4180(a,1,1,1))]. given #6331 (H,wt=15): 6948 T(x,(y * x) / z) = T(x,y / (z / x)). [para(491(a,1),6944(a,1,2))]. given #6332 (H,wt=15): 6959 (K(x,y) * z) * y = K(x,y) * (z * y). [para(6956(a,1),118(a,1,1)),flip(a)]. given #6333 (H,wt=8): 7059 L(x,y,K(z,x)) = x. [hyper(4679,a,6959,a)]. given #6334 (H,wt=12): 7069 L(K(x,y),z,K(u,y)) = K(x,y). [para(7059(a,1),6657(a,1,2)),flip(a)]. given #6335 (H,wt=12): 7071 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6279,a,7069,a)]. given #6336 (H,wt=14): 7065 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7059(a,1),45(a,1,1)),flip(a)]. given #6337 (H,wt=14): 7073 L(x,y,T(x,z)) != u | L(x,y,x) = u. [para(7065(a,1),6634(a,1))]. given #6338 (H,wt=15): 6962 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(6940(a,1),3953(a,1,1))]. given #6339 (H,wt=15): 6969 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3883(a,1),6957(a,1,2))]. given #6340 (H,wt=15): 6975 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(240,a,5685,a,b,6964,a),flip(a)]. given #6341 (H,wt=15): 6976 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(240,a,5680,a,b,6964,a),flip(a)]. given #6342 (H,wt=15): 6977 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(240,a,5667,a,b,6964,a),flip(a)]. given #6343 (H,wt=15): 6978 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(240,a,5466,a,b,6964,a),flip(a)]. given #6344 (H,wt=15): 6985 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,6964,a)]. given #6345 (H,wt=15): 6986 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),6964(a,1,2))]. given #6346 (H,wt=15): 6998 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(6964(a,2),5676(a,1,2))]. given #6347 (H,wt=13): 7079 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6219,a,6998,a)]. given #6348 (H,wt=13): 7080 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(240,a,6260,a,b,7079,a(flip)),flip(a)]. given #6349 (H,wt=15): 7006 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(6961(a,1),3953(a,1,1))]. given #6350 (H,wt=15): 7009 K(x * y,x) * y = y * K(x * y,x). [para(6970(a,1),122(a,1,2)),flip(a)]. given #6351 (H,wt=15): 7012 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(6700(a,1),6974(a,1,1)),flip(a)]. given #6352 (H,wt=15): 7016 L(x,y / z,K(z \ y,u)) != w | w = x. [para(6981(a,1),3877(a,1,3))]. given #6353 (H,wt=15): 7023 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(73,a,6988,a,b,4782,a)]. given #6354 (H,wt=15): 7030 K(x,y / z) * z = z * K(x,z \ y). [para(124(a,1),6988(a,1,2,2)),flip(a)]. given #6355 (H,wt=15): 7036 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5671,a,6996,a)]. given #6356 (H,wt=15): 7037 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(240,a,6889,a,b,6996,a),flip(a)]. given #6357 (H,wt=15): 7040 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(124(a,1),7004(a,1,2,2)),flip(a)]. given #6358 (H,wt=15): 7045 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(6982(a,1),7043(a,1,2))]. given #6359 (H,wt=15): 7051 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(240,a,42,a,b,6930,a)]. given #6360 (H,wt=15): 7052 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(240,a,40,a,b,6934,a)]. given #6361 (H,wt=15): 7056 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(6939(a,1),5690(a,1,1))]. given #6362 (H,wt=11): 7090 (x * K(y,z)) * K(z,y) = x. [hyper(5349,a,7056,a)]. given #6363 (H,wt=11): 7094 x / K(y,z) = x * K(z,y). [hyper(307,a,7090,a),flip(a)]. given #6364 (H,wt=11): 7098 (x * K(y,z)) \ x = K(z,y). [hyper(81,a,7090,a)]. given #6365 (H,wt=13): 7093 (x \ y) * K(y,x) = x \ T(y,x). [hyper(5995,a,7090,a),flip(a)]. given #6366 (H,wt=13): 7099 x * K(T(y,x),z) = K(y,z) * x. [hyper(18,a,7043,a,b,7090,a)]. given #6367 (H,wt=11): 7141 K(T(x,y),z) = T(K(x,z),y). [hyper(183,a,7099,a),flip(a)]. given #6368 (H,wt=11): 7142 K(T(x,y),z) = K(x,T(z,y)). [hyper(17,a,6988,a,b,7099,a)]. given #6369 (H,wt=11): 7143 K(T(x,K(y,z)),y) = K(x,y). [hyper(17,a,2160,a,b,7099,a)]. given #6370 (H,wt=13): 7100 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(18,a,6988,a,b,7090,a)]. given #6371 (H,wt=13): 7103 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,5929,a,b,7090,a)]. given #6372 (H,wt=13): 7104 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,5926,a,b,7090,a)]. given #6373 (H,wt=13): 7105 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,5152,a,b,7090,a)]. given #6374 (H,wt=13): 7108 (x * K(y,z)) / z = x / T(z,y). [hyper(75,a,7090,a(flip),b,5928,a),flip(a)]. given #6375 (H,wt=13): 7117 (x * K(y,z)) * T(z,y) = x * z. [para(7090(a,1),5918(a,1,1)),flip(a)]. given #6376 (H,wt=13): 7128 x / (K(y,z) \ 1) = x * K(y,z). [para(4977(a,2),7094(a,1,2))]. given #6377 (H,wt=13): 7133 (x * T(y,z)) \ (x * y) = K(z,y). [para(5929(a,1),7098(a,1,1))]. given #6378 (H,wt=13): 7140 x * K(T(y,x),z) = K(z,y) \ x. [hyper(240,a,5183,a,b,7099,a)]. given #6379 (H,wt=13): 7144 K(T(x,y),z / y) = K(x,y \ z). [hyper(17,a,7030,a(flip),b,7099,a)]. given #6380 (H,wt=13): 7145 K(T(x / y,x),z) = K(y \ x,z). [hyper(17,a,6008,a(flip),b,7099,a)]. given #6381 (H,wt=13): 7149 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(240,a,6007,a,b,7141,a),flip(a)]. given #6382 (H,wt=13): 7153 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5209,a,7142,a)]. given #6383 (H,wt=13): 7154 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(240,a,6980,a,b,7142,a(flip)),flip(a)]. given #6384 (H,wt=13): 7157 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(240,a,6055,a,b,7142,a(flip)),flip(a)]. given #6385 (H,wt=13): 7159 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(240,a,6033,a(flip),b,7142,a(flip))]. given #6386 (H,wt=13): 7162 K(x / y,T(z,y)) = K(y \ x,z). [para(124(a,1),7142(a,1,1)),flip(a)]. given #6387 (H,wt=13): 7163 K((x * y) / x,T(z,x)) = K(y,z). [para(176(a,1),7142(a,1,1)),flip(a)]. given #6388 (H,wt=13): 7164 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7142(a,1),4769(a,1,1))]. given #6389 (H,wt=13): 7169 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5141(a,1),7142(a,1,1)),flip(a)]. given #6390 (H,wt=13): 7179 (x / T(y,z)) * y = x * K(z,y). [hyper(307,a,7103,a),flip(a)]. given #6391 (H,wt=13): 7191 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),7104(a,1,1)),flip(a)]. given #6392 (H,wt=13): 7199 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(81,a,7117,a)]. given #6393 (H,wt=13): 7210 K(T(x,y * x),z) = K(T(x,y),z). [para(3958(a,2),7149(a,1,1)),flip(a)]. given #6394 (H,wt=13): 7213 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(14(a,1),7154(a,1,2,2)),flip(a)]. given #6395 (H,wt=13): 7234 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(240,a,7040,a,b,7213,a(flip)),flip(a)]. given #6396 (H,wt=13): 7239 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7234(a,1,2,2)),flip(a)]. given #6397 (H,wt=14): 7110 x * K(y,z) != u | u * K(z,y) = x. [para(7090(a,1),20(a,1)),flip(a)]. given #6398 (H,wt=14): 7112 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7090(a,1),241(a,1,2)),flip(b)]. given #6399 (H,wt=14): 7113 x / K(y,z) != u | x * K(z,y) = u. [para(7090(a,1),299(a,1,1)),flip(b)]. given #6400 (H,wt=14): 7122 x / K(y,z) != x * u | K(z,y) = u. [para(7094(a,2),19(a,1))]. given #6401 (H,wt=14): 7123 (x * K(y,z)) * K(z,y) != u | u = x. [para(7094(a,1),226(a,1,1))]. given #6402 (H,wt=14): 7212 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7153(a,1),4999(a,1))]. given #6403 (H,wt=14): 7255 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(6964(a,1),7212(a,1))]. given #6404 (H,wt=15): 7061 T(x,y) \ (z * x) = T(K(y,x) * z,x). [hyper(182,a,6959,a,b,4782,a),flip(a)]. given #6405 (H,wt=15): 7075 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6167,a,6977,a),flip(a)]. given #6406 (H,wt=15): 7078 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(6964(a,1),6986(a,2,1))]. given #6407 (H,wt=15): 7084 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6165,a,7036,a),flip(a)]. given #6408 (H,wt=15): 7107 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,6066,a(flip),b,7090,a)]. given #6409 (H,wt=15): 7132 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7098(a,2),5183(a,1,1))]. given #6410 (H,wt=15): 7134 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5955(a,2),7098(a,1,1))]. given #6411 (H,wt=15): 7138 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7093(a,1,1)),flip(a)]. given #6412 (H,wt=13): 7265 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6184,a,7138,a)]. given #6413 (H,wt=13): 7269 K((1 / x) \ y,x) = K(x * y,x). [hyper(5431,a,7265,a)]. given #6414 (H,wt=15): 7147 K(x / y,z) * y = y * K(y \ x,z). [para(124(a,1),7099(a,1,2,1)),flip(a)]. given #6415 (H,wt=15): 7148 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [hyper(240,a,6986,a,b,7141,a)]. given #6416 (H,wt=15): 7150 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7141(a,1),4809(a,2,1)),flip(a)]. given #6417 (H,wt=15): 7151 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7141(a,2),6982(a,1,2))]. given #6418 (H,wt=15): 7152 x * K(T(y,z),u) = x * K(y,T(u,z)). [para(7141(a,2),6985(a,2,2)),flip(a)]. given #6419 (H,wt=15): 7165 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7142(a,1),4809(a,2,1)),flip(a)]. given #6420 (H,wt=15): 7170 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7142(a,1),5183(a,1,1))]. given #6421 (H,wt=15): 7173 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7142(a,1),4867(a,1,1))]. given #6422 (H,wt=15): 7175 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7142(a,1),7094(a,1,2))]. given #6423 (H,wt=15): 7178 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(853,a,7103,a),flip(a)]. given #6424 (H,wt=15): 7185 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7103(a,1),5918(a,1,1)),flip(a)]. given #6425 (H,wt=15): 7188 x / T(y \ x,z) = y * K(z,y \ x). [hyper(542,a,7104,a),flip(a)]. given #6426 (H,wt=15): 7200 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(73,a,14,a(flip),b,7117,a)]. given #6427 (H,wt=15): 7202 (x * K(y,z)) * z = (x * z) * K(y,z). [para(7117(a,1),7103(a,1,1)),flip(a)]. given #6428 (H,wt=15): 7215 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6619(a,1),7154(a,1,2)),flip(a)]. given #6429 (H,wt=15): 7216 K(x / y,z \ y) = K(y \ x,y / z). [hyper(240,a,6967,a(flip),b,7162,a(flip)),flip(a)]. given #6430 (H,wt=15): 7217 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(240,a,5491,a(flip),b,7162,a(flip))]. given #6431 (H,wt=15): 7218 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(205(a,1),7162(a,1,2))]. given #6432 (H,wt=15): 7223 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(7163(a,1),5253(a,1,1))]. given #6433 (H,wt=15): 7224 T(T(x,y),K(z,x) * u) = T(T(x,y),u). [para(7163(a,1),6817(a,1,2,1))]. given #6434 (H,wt=15): 7236 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7213(a,1),4800(a,2,2))]. given #6435 (H,wt=13): 7287 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(240,a,4800,a,b,7236,a)]. given #6436 (H,wt=15): 7241 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3995(a,1),7234(a,1,2))]. given #6437 (H,wt=15): 7257 T(K(x,y) * (z / y),y) = T(y,x) \ z. [para(16(a,1),7061(a,1,2)),flip(a)]. given #6438 (H,wt=15): 7266 x * (y * K(x * y,x)) = T(x * y,x). [para(7138(a,1),14(a,1,2))]. given #6439 (H,wt=15): 7275 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5334,a,7165,a)]. given #6440 (H,wt=15): 7281 T(x / y,z) \ x = y * K(z,y \ x). [hyper(6778,a,7188,a)]. given #6441 (H,wt=15): 7283 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(240,a,6978,a,b,7217,a),flip(a)]. given #6442 (H,wt=15): 7284 x * K(x / T(y,z),y) = (y \ x) * y. [para(7218(a,2),6758(a,1,2))]. given #6443 (H,wt=15): 7286 (K(x,y) * z) \ (y * z) = T(T(y,x),z). [hyper(5212,a,7224,a)]. given #6444 (H,wt=15): 7292 x / (y * K(z,y \ x)) = T(x / y,z). [para(7281(a,1),62(a,1,2))]. given #6445 (H,wt=15): 7293 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6239,a,7283,a)]. given #6446 (H,wt=16): 6963 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4224(a,1),6955(a,1,2))]. given #6447 (H,wt=14): 7299 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6209(a,1),6963(a,1))]. given #6448 (H,wt=14): 7302 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7141(a,2),7299(a,1))]. given #6449 (H,wt=16): 6989 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(6964(a,2),231(a,1,2))]. given #6450 (H,wt=16): 7001 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(6964(a,2),6221(a,1))]. given #6451 (H,wt=16): 7026 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(6988(a,1),19(a,1))]. given #6452 (H,wt=16): 7038 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(6996(a,1),19(a,1))]. given #6453 (H,wt=16): 7044 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7043(a,1),241(a,1,2)),flip(b)]. given #6454 (H,wt=16): 7048 x / R(y,y \ x,y) = K(y,x) * (y \ x). [hyper(18,a,5906,a,b,6916,a),flip(a)]. given #6455 (H,wt=15): 7311 K(x,y) * (x \ y) = (x \ y) * K(x,y). [hyper(240,a,5927,a(flip),b,7048,a(flip))]. given #6456 (H,wt=16): 7072 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7071(a,1),4771(a,2,1,1))]. given #6457 (H,wt=12): 7312 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(240,a,4771,a,b,7072,a)]. given #6458 (H,wt=16): 7077 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(273(a,1),6978(a,1,1,1)),flip(a)]. given #6459 (H,wt=16): 7139 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2012,a,7099,a),flip(a)]. given #6460 (H,wt=16): 7146 x * K(T(y,x),z) != u * x | K(y,z) = u. [para(7099(a,2),20(a,1))]. given #6461 (H,wt=16): 7166 1 / K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(7142(a,1),4982(a,1,2))]. given #6462 (H,wt=16): 7167 K(x,T(y,z)) \ 1 != u | K(y,T(x,z)) = u. [para(7142(a,1),4999(a,1,1))]. given #6463 (H,wt=16): 7205 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(7133(a,1),224(a,1,2)),flip(b)]. given #6464 (H,wt=16): 7227 x * K(y,z) != u * z | x / T(z,y) = u. [para(7179(a,1),20(a,1))]. given #6465 (H,wt=16): 7230 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(7191(a,1),388(a,1))]. given #6466 (H,wt=16): 7245 (x * (y / x)) \ y != z | K(x \ y,x) = z. [para(4976(a,1),7112(a,1,1))]. given #6467 (H,wt=14): 7319 K(x / y,y) != z | K(y \ x,y) = z. [para(102(a,1),7245(a,1))]. given #6468 (H,wt=16): 7256 T(K(x,y),x * z) != u | K(T(x,z),y) = u. [para(7157(a,2),7212(a,1))]. given #6469 (H,wt=16): 7296 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(123(a,1),6963(a,1,2))]. given #6470 (H,wt=16): 7303 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7159(a,2),7299(a,1))]. given #6471 (H,wt=16): 7305 T(K(x,y),x * z) != u | K(x,T(y,z)) = u. [para(6055(a,2),7302(a,1))]. given #6472 (H,wt=16): 7307 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(6980(a,2),7302(a,1))]. given #6473 (H,wt=16): 7310 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(240,a,5328,a,b,7048,a)]. given #6474 (H,wt=16): 7315 x * K(y,z) != u | (x * z) / T(z,y) = u. [para(15(a,1),7230(a,1,1))]. given #6475 (H,wt=16): 7321 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(240,a,5357,a(flip),b,7310,a)]. given #6476 (H,wt=17): 6883 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(240,a,5928,a,b,6877,a),flip(a)]. given #6477 (H,wt=17): 6884 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(73,a,6877,a,b,4779,a)]. given #6478 (H,wt=17): 6885 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(124(a,1),6877(a,2,1))]. given #6479 (H,wt=15): 7324 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(6062,a,6885,a)]. given #6480 (H,wt=15): 7327 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7324(a,1),14(a,1,2))]. given #6481 (H,wt=15): 7328 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),7327(a,1,2,1)),flip(a)]. given #6482 (H,wt=8): 7329 R(x,y,K(x,z)) = x. [hyper(4689,a,7328,a)]. given #6483 (H,wt=8): 7333 a(x,y,K(x,z)) = 1. [hyper(72,a,7328,a(flip),b,94,a),flip(a)]. given #6484 (H,wt=10): 7330 L(K(x,y),z,x) = K(x,y). [hyper(4679,a,7328,a)]. given #6485 (H,wt=10): 7344 a(x,y,K(x,z)) * u = u. [para(7333(a,2),11(a,1,1))]. given #6486 (H,wt=10): 7345 K(L(x,y,x),z) = K(x,z). [hyper(6279,a,7330,a)]. given #6487 (H,wt=10): 7350 K(x,L(y,z,x)) = K(x,y). [hyper(240,a,6659,a(flip),b,7330,a(flip)),flip(a)]. given #6488 (H,wt=11): 7342 R(x,y,T(x,z)) = R(x,y,x). [para(7329(a,1),6410(a,1,1)),flip(a)]. given #6489 (H,wt=12): 7336 R(T(x,y),z,K(x,u)) = T(x,y). [para(7329(a,1),42(a,2,1))]. given #6490 (H,wt=12): 7359 T(x,L(y,z,x)) = x * K(x,y). [para(7350(a,1),4800(a,2,2))]. given #6491 (H,wt=10): 7367 T(x,L(y,z,x)) = T(x,y). [hyper(240,a,4800,a,b,7359,a)]. given #6492 (H,wt=13): 7354 K(x,y) != z | K(L(x,u,x),y) = z. [para(7330(a,1),6279(a,1))]. given #6493 (H,wt=13): 7358 K(x,(x \ 1) \ y) = K(x,x * y). [para(456(a,1),7350(a,1,2)),flip(a)]. given #6494 (H,wt=14): 7337 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7329(a,1),46(a,1,1)),flip(a)]. given #6495 (H,wt=14): 7346 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(240,a,13,a,b,7330,a)]. given #6496 (H,wt=13): 7371 L(K(x,y),z,x) != u | K(x,y) = u. [para(7346(a,2),241(a,1)),flip(b)]. given #6497 (H,wt=13): 7373 K(L(x,y,x),z) != u | K(x,z) = u. [para(6273(a,1),7371(a,1))]. given #6498 (H,wt=13): 7374 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6659(a,1),7371(a,1))]. given #6499 (H,wt=15): 7348 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(240,a,6672,a(flip),b,7330,a(flip))]. given #6500 (H,wt=15): 7349 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(240,a,6671,a(flip),b,7330,a(flip)),flip(a)]. given #6501 (H,wt=15): 7356 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7345(a,1),4870(a,1,1))]. given #6502 (H,wt=15): 7366 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7336(a,1),6410(a,1,1)),flip(a)]. given #6503 (H,wt=14): 7385 R(T(x,x * y),y,T(x,z)) = T(x,y). [hyper(240,a,4158,a(flip),b,7366,a)]. given #6504 (H,wt=14): 7388 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7366(a,1),6954(a,1,2))]. given #6505 (H,wt=15): 7368 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(235(a,1),7367(a,1,2))]. given #6506 (H,wt=15): 7369 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(454(a,1),7367(a,1,2)),flip(a)]. given #6507 (H,wt=15): 7378 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),7348(a,2,2,2))]. given #6508 (H,wt=15): 7381 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3034,a,7356,a)]. given #6509 (H,wt=15): 7390 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(6836,a,7369,a)]. given #6510 (H,wt=16): 7355 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(240,a,7239,a,b,7345,a)]. given #6511 (H,wt=16): 7357 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7350(a,1,2))]. given #6512 (H,wt=16): 7383 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(240,a,4165,a(flip),b,7366,a)]. given #6513 (H,wt=16): 7394 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7355(a,1),7373(a,1))]. given #6514 (H,wt=17): 6888 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(6877(a,2),6828(a,1,2))]. given #6515 (H,wt=17): 6911 T(T(T(x,y \ x) / y,K(x,y)),x) = x / y. [para(6910(a,2),4128(a,1,1))]. given #6516 (H,wt=17): 6935 L(x / y,z,x / y) = L(x / y,z,y \ x). [para(124(a,1),6922(a,1,3)),flip(a)]. given #6517 (H,wt=17): 6958 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(6954(a,1),5448(a,1,2)),flip(a)]. given #6518 (H,wt=17): 6987 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(40(a,2),6964(a,1,2))]. given #6519 (H,wt=17): 6990 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(6964(a,2),175(a,1,2,2))]. given #6520 (H,wt=17): 7003 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),6982(a,1,2))]. given #6521 (H,wt=17): 7008 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(6774(a,1),6966(a,1,2)),flip(a)]. given #6522 (H,wt=17): 7022 (x * y) \ (T(x,z) * y) = K(x,T(z,x * y)). [hyper(73,a,4815,a(flip),b,6988,a)]. given #6523 (H,wt=17): 7024 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5726,a(flip),b,6988,a)]. given #6524 (H,wt=17): 7028 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(38(a,1),6988(a,1,2,2))]. given #6525 (H,wt=17): 7035 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(6957(a,1),6988(a,1,2))]. given #6526 (H,wt=15): 7399 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(240,a,5078,a(flip),b,7035,a)]. given #6527 (H,wt=17): 7039 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(6996(a,1),6325(a,1,2,2))]. given #6528 (H,wt=17): 7050 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4780(a,2),6916(a,1,1))]. given #6529 (H,wt=17): 7054 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(5057(a,1),6939(a,1,1)),flip(a)]. given #6530 (H,wt=17): 7058 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [para(6939(a,1),6891(a,1,1)),flip(a)]. given #6531 (H,wt=17): 7074 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6086(a,1),6969(a,1,2)),flip(a)]. given #6532 (H,wt=17): 7083 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5603(a,1),7030(a,1,1)),flip(a)]. given #6533 (H,wt=15): 7404 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(17,a,6988,a,b,7083,a),flip(a)]. given #6534 (H,wt=15): 7405 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(240,a,7075,a(flip),b,7404,a(flip)),flip(a)]. given #6535 (H,wt=15): 7406 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),7404(a,2,2,2))]. given #6536 (H,wt=17): 7088 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(73,a,7051,a(flip),b,5066,a)]. given #6537 (H,wt=17): 7092 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6234,a,7090,a),flip(a)]. given #6538 (H,wt=17): 7101 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6067,a,b,7090,a)]. given #6539 (H,wt=17): 7119 (x * K(y,y \ z)) * (y \ z) = x * (z / y). [para(7090(a,1),6192(a,1,1)),flip(a)]. given #6540 (H,wt=17): 7120 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7090(a,1),6579(a,1,1)),flip(a)]. given #6541 (H,wt=17): 7130 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(7094(a,1),5605(a,2,2))]. given #6542 (H,wt=17): 7156 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(240,a,6525,a,b,7142,a(flip)),flip(a)]. given #6543 (H,wt=17): 7160 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7142(a,1,1))]. given #6544 (H,wt=17): 7161 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7142(a,1,1))]. given #6545 (H,wt=17): 7171 (x * y) / (K(z,T(x,u)) * y) = T(x,T(z,u)). [para(7142(a,1),5083(a,1,2,1))]. given #6546 (H,wt=17): 7176 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7143(a,1),4809(a,2,1)),flip(a)]. given #6547 (H,wt=15): 7416 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(240,a,6891,a(flip),b,7176,a)]. given #6548 (H,wt=15): 7417 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5334,a,7416,a)]. given #6549 (H,wt=17): 7181 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(123(a,1),7103(a,1,1,2))]. given #6550 (H,wt=15): 7418 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4282,a,b,7181,a)]. given #6551 (H,wt=17): 7187 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(5624,a,7104,a)]. given #6552 (H,wt=17): 7192 (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). [para(7104(a,1),6592(a,2,2))]. given #6553 (H,wt=15): 7423 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [hyper(386,a,7192,a)]. given #6554 (H,wt=15): 7426 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4756(a,2),7423(a,1,2))]. given #6555 (H,wt=17): 7193 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(7142(a,1),7104(a,1,2))]. given #6556 (H,wt=17): 7195 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(124(a,1),7108(a,2,2))]. given #6557 (H,wt=17): 7203 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(182,a,7128,a(flip),b,5178,a),flip(a)]. given #6558 (H,wt=17): 7214 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(124(a,1),7154(a,1,2)),flip(a)]. given #6559 (H,wt=17): 7219 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(135(a,1),7162(a,1,2))]. given #6560 (H,wt=17): 7220 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7162(a,1),4809(a,2,1)),flip(a)]. given #6561 (H,wt=17): 7226 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [hyper(18,a,6129,a,b,7179,a)]. given #6562 (H,wt=17): 7233 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7142(a,1),7199(a,1,1,2))]. given #6563 (H,wt=17): 7237 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6091(a,1),7213(a,1,2))]. given #6564 (H,wt=17): 7242 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7239(a,1),6988(a,1,2))]. given #6565 (H,wt=13): 7434 T(K(x,y),z * x) = T(K(x,y),z). [hyper(182,a,7242,a(flip),b,6985,a(flip))]. given #6566 (H,wt=13): 7436 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(240,a,3215,a(flip),b,7434,a)]. given #6567 (H,wt=17): 7260 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7132(a,1),7149(a,1,1)),flip(a)]. given #6568 (H,wt=17): 7268 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(5432,a,7265,a),flip(a)]. given #6569 (H,wt=17): 7273 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(6197(a,1),7150(a,1,1))]. given #6570 (H,wt=17): 7288 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(124(a,1),7287(a,1,2)),flip(a)]. given #6571 (H,wt=17): 7290 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(6086(a,1),7241(a,1,2)),flip(a)]. given #6572 (H,wt=17): 7322 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4173(a,1),7310(a,1,2))]. given #6573 (H,wt=17): 7331 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(240,a,5052,a,b,7328,a),flip(a)]. given #6574 (H,wt=17): 7335 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7328(a,1),5918(a,1,1))]. given #6575 (H,wt=17): 7351 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(73,a,7330,a(flip),b,4232,a),flip(a)]. given #6576 (H,wt=17): 7352 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(73,a,7330,a(flip),b,2709,a)]. given #6577 (H,wt=17): 7362 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(124(a,1),7342(a,1,3)),flip(a)]. given #6578 (H,wt=17): 7372 L(K(x,y),z,x) != u * w | u \ K(x,y) = w. [para(7346(a,2),309(a,1))]. given #6579 (H,wt=17): 7389 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(122(a,1),7368(a,1,2,1)),flip(a)]. given #6580 (H,wt=15): 7447 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(6835,a,7389,a),flip(a)]. given #6581 (H,wt=17): 7400 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6178(a,2),7039(a,1,2))]. given #6582 (H,wt=13): 7449 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4860,a,7400,a)]. given #6583 (H,wt=11): 7450 K(x,K(y,z)) = K(z,K(y,x)). [hyper(240,a,7080,a(flip),b,7449,a(flip))]. given #6584 (H,wt=11): 7451 K(K(x,y),z) = K(x,K(y,z)). [hyper(5688,a,7450,a)]. given #6585 (H,wt=13): 7452 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(240,a,7449,a(flip),b,7450,a)]. given #6586 (H,wt=13): 7454 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7450(a,1),4800(a,2,2)),flip(a)]. given #6587 (H,wt=13): 7455 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7450(a,1),4809(a,2,1)),flip(a)]. given #6588 (H,wt=13): 7460 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7450(a,1),5683(a,1,1))]. given #6589 (H,wt=11): 7487 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5686,a,7460,a)]. given #6590 (H,wt=11): 7488 K(K(x,y),z) = K(y,K(z,x)). [hyper(4999,a,7460,a)]. given #6591 (H,wt=11): 7490 K(K(x,y),z) = K(y,K(x,z)). [hyper(240,a,7451,a,b,7487,a),flip(a)]. given #6592 (H,wt=11): 7491 K(x,K(y,z)) = K(z,K(x,y)). [hyper(240,a,7450,a,b,7487,a)]. given #6593 (H,wt=11): 7505 K(K(x,y),z) = K(x,K(z,y)). [hyper(240,a,7450,a,b,7488,a)]. given #6594 (H,wt=11): 7506 K(K(x,y),z) = K(z,K(x,y)). [hyper(240,a,7450,a,b,7490,a)]. given #6595 (H,wt=11): 7507 K(x,K(y,z)) = K(x,K(z,y)). [hyper(240,a,7488,a(flip),b,7490,a(flip))]. given #6596 (H,wt=13): 7482 K(x,K(y,z / y)) = K(x,K(y,z)). [para(16(a,1),7452(a,1,2,2)),flip(a)]. given #6597 (H,wt=13): 7484 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6682(a,1),7452(a,1,2))]. given #6598 (H,wt=13): 7492 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(240,a,7079,a(flip),b,7487,a)]. given #6599 (H,wt=13): 7493 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7487(a,1),4800(a,2,2)),flip(a)]. given #6600 (H,wt=13): 7494 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7487(a,1),4809(a,2,1)),flip(a)]. given #6601 (H,wt=13): 7503 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7487(a,1),7454(a,1,2))]. given #6602 (H,wt=11): 7560 T(x,K(y,z)) = T(x,K(z,y)). [hyper(240,a,7454,a(flip),b,7503,a(flip))]. given #6603 (H,wt=11): 7562 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5692,a,7560,a)]. given #6604 (H,wt=13): 7504 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7487(a,1),7455(a,1,1))]. given #6605 (H,wt=13): 7514 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(240,a,7080,a(flip),b,7491,a)]. given #6606 (H,wt=13): 7530 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7491(a,1),7454(a,1,2))]. given #6607 (H,wt=13): 7531 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7491(a,1),7455(a,1,1))]. given #6608 (H,wt=13): 7533 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(74,a,7506,a,b,7090,a),flip(a)]. given #6609 (H,wt=13): 7555 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(4959(a,1),7482(a,1,2))]. given #6610 (H,wt=13): 7557 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7492,a)]. given #6611 (H,wt=13): 7558 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(14(a,1),7492(a,1,2,1)),flip(a)]. given #6612 (H,wt=13): 7561 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6912,a,7560,a),flip(a)]. given #6613 (H,wt=13): 7575 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7560(a,1),6891(a,1,1))]. given #6614 (H,wt=13): 7577 (x * K(y,z)) / x = T(K(y,z),x). [para(7562(a,1),4042(a,1,2))]. given #6615 (H,wt=11): 7592 T(T(K(x,y),z),z) = K(x,y). [para(7577(a,1),176(a,1,1))]. given #6616 (H,wt=11): 7594 K(x,T(T(y,z),z)) = K(x,y). [hyper(240,a,7078,a,b,7592,a(flip)),flip(a)]. given #6617 (H,wt=11): 7599 T(K(x,T(y,z)),z) = K(x,y). [para(6964(a,2),7592(a,1,1))]. given #6618 (H,wt=11): 7600 K(T(x,y),T(z,y)) = K(x,z). [hyper(7212,a,7594,a)]. given #6619 (H,wt=13): 7579 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(7562(a,1),6891(a,1,1)),flip(a)]. given #6620 (H,wt=13): 7581 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(240,a,7491,a,b,7514,a)]. given #6621 (H,wt=13): 7583 K(x,K(y,x \ z)) = K(y,K(x,z)). [hyper(240,a,7487,a,b,7555,a(flip)),flip(a)]. given #6622 (H,wt=13): 7585 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7557(a,1,2,1)),flip(a)]. given #6623 (H,wt=13): 7586 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(240,a,7491,a,b,7558,a(flip)),flip(a)]. given #6624 (H,wt=13): 7589 T(x,T(x * y,y)) = T(x,x * y). [para(6907(a,1),7575(a,1,1)),flip(a)]. given #6625 (H,wt=13): 7590 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(240,a,6964,a,b,7577,a)]. given #6626 (H,wt=13): 7591 T(K(x,y),z) * z = z * K(x,y). [para(7577(a,1),16(a,1,1))]. given #6627 (H,wt=13): 7598 T(K(x \ y,z),y) = K(y / x,z). [para(6009(a,1),7592(a,1,1))]. given #6628 (H,wt=13): 7605 K((x * y) / x,z) = K(y,T(z,x)). [hyper(240,a,7163,a(flip),b,7594,a(flip))]. given #6629 (H,wt=13): 7606 K(x \ y,T(z,x)) = K(y / x,z). [hyper(240,a,7162,a(flip),b,7594,a(flip)),flip(a)]. given #6630 (H,wt=13): 7607 K(x,T(y \ z,z)) = K(x,z / y). [hyper(240,a,7008,a(flip),b,7594,a(flip)),flip(a)]. given #6631 (H,wt=13): 7608 K(x \ y,T(z,y)) = K(y / x,z). [hyper(240,a,6981,a(flip),b,7594,a(flip)),flip(a)]. given #6632 (H,wt=13): 7609 K(x,T(y \ z,y)) = K(x,z / y). [para(124(a,1),7594(a,1,2,1))]. given #6633 (H,wt=13): 7610 K(x,(y * z) / y) = K(x,T(z,y)). [para(176(a,1),7594(a,1,2,1)),flip(a)]. given #6634 (H,wt=13): 7611 K(x,T(y,z)) * z = z * K(x,y). [para(7594(a,1),6988(a,1,2)),flip(a)]. given #6635 (H,wt=11): 7685 T(x,y * K(x,z)) = T(x,y). [para(7611(a,1),6813(a,1,2))]. given #6636 (H,wt=11): 7686 K(x,y * K(x,z)) = K(x,y). [para(7611(a,1),6824(a,1,2))]. given #6637 (H,wt=11): 7697 T(x,y * K(z,x)) = T(x,y). [para(7090(a,1),7685(a,1,2)),flip(a)]. given #6638 (H,wt=11): 7700 K(x,K(y,x * K(y,z))) = 1. [para(7686(a,2),3194(a,1,2))]. given #6639 (H,wt=11): 7703 K(x,y * K(z,x)) = K(x,y). [para(7090(a,1),7686(a,1,2)),flip(a)]. given #6640 (H,wt=13): 7615 T(K(x,y \ z),y) = K(x,z / y). [para(124(a,1),7599(a,1,1,2))]. given #6641 (H,wt=13): 7618 T(K(x \ y,z),x) = K(y / x,z). [para(7162(a,1),7599(a,1,1))]. given #6642 (H,wt=13): 7622 K(T(x,y),y \ z) = K(x,z / y). [para(124(a,1),7600(a,1,2))]. given #6643 (H,wt=13): 7623 K(x,(y * z) / y) = K(T(x,y),z). [para(176(a,1),7600(a,1,2)),flip(a)]. given #6644 (H,wt=13): 7629 K(x * K(y,x),z) = K(x,T(z,y)). [para(4777(a,1),7600(a,1,1)),flip(a)]. given #6645 (H,wt=13): 7630 K(x,y * K(z,y)) = K(T(x,z),y). [para(4777(a,1),7600(a,1,2)),flip(a)]. given #6646 (H,wt=13): 7632 x * K(T(x,y),T(z,y)) = T(x,z). [para(7600(a,2),4800(a,2,2)),flip(a)]. given #6647 (H,wt=13): 7633 K(K(x,y) * y,z) = K(y,T(z,x)). [para(4848(a,1),7600(a,1,1)),flip(a)]. given #6648 (H,wt=13): 7640 K(T(x,y),z) * y = y * K(x,z). [para(7600(a,1),6988(a,1,2)),flip(a)]. given #6649 (H,wt=13): 7641 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7600(a,1),7025(a,1,2,2))]. given #6650 (H,wt=13): 7643 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7583,a)]. given #6651 (H,wt=13): 7644 K(x,K(x \ y,z)) = K(x,K(z,y)). [hyper(240,a,7507,a,b,7585,a)]. given #6652 (H,wt=13): 7668 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),7607(a,1,2,1)),flip(a)]. given #6653 (H,wt=13): 7671 K(x / (x / y),z) = K(y,T(z,x)). [hyper(240,a,649,a(flip),b,7608,a(flip))]. given #6654 (H,wt=13): 7689 K(x,y * K(x,z)) = x \ T(x,y). [hyper(73,a,7685,a(flip),b,4800,a(flip)),flip(a)]. given #6655 (H,wt=13): 7694 T(x,y * T(x,z)) = T(x,y * x). [para(5929(a,1),7685(a,1,2))]. given #6656 (H,wt=13): 7701 K(x,y / T(x,z)) = K(x,y / x). [para(5926(a,1),7686(a,1,2)),flip(a)]. given #6657 (H,wt=13): 7704 K(x,y / T(z,x)) = K(x,y / z). [para(7104(a,1),7686(a,1,2))]. given #6658 (H,wt=13): 7706 K(x * K(y,z),z) = 1 / K(z,x). [para(7703(a,1),4980(a,1,2)),flip(a)]. given #6659 (H,wt=11): 7735 K(x * K(y,z),z) = K(x,z). [hyper(240,a,4980,a(flip),b,7706,a)]. given #6660 (H,wt=11): 7742 K(x * K(y,z),y) = K(x,y). [para(7090(a,1),7735(a,1,1)),flip(a)]. given #6661 (H,wt=11): 7743 K(K(x,y) * z,y) = K(z,y). [para(7099(a,1),7735(a,1,1))]. given #6662 (H,wt=11): 7744 K(K(x,y) * z,x) = K(z,x). [para(7100(a,1),7735(a,1,1)),flip(a)]. given #6663 (H,wt=11): 7746 K(K(x,y) \ z,x) = K(z,x). [para(7140(a,1),7735(a,1,1))]. given #6664 (H,wt=13): 7723 x / (x * K(y,z)) = K(z,T(y,x)). [para(7640(a,1),5184(a,1,2))]. given #6665 (H,wt=13): 7727 K(x,K(y,x * z)) = K(x,K(y,z)). [para(13(a,1),7643(a,1,2,2)),flip(a)]. given #6666 (H,wt=13): 7728 K(x,y / (y / z)) = K(T(x,y),z). [hyper(240,a,7142,a,b,7668,a)]. given #6667 (H,wt=13): 7734 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(240,a,4193,a(flip),b,7694,a)]. given #6668 (H,wt=13): 7737 K(x * T(y,z),z) = K(x * y,z). [para(1329(a,1),7735(a,1,1))]. given #6669 (H,wt=13): 7745 K(x * T(y,z),y) = K(x * y,y). [para(7103(a,1),7735(a,1,1)),flip(a)]. given #6670 (H,wt=13): 7751 K(T(x,y) * z,x) = K(x * z,x). [para(4783(a,1),7743(a,1,1)),flip(a)]. given #6671 (H,wt=13): 7757 T(x,x * (y / T(x,z))) = T(x,y). [para(66(a,1),7734(a,1,2)),flip(a)]. given #6672 (H,wt=13): 7760 K(x * T(y,z),y) = K(y * x,y). [hyper(240,a,6469,a(flip),b,7745,a)]. given #6673 (H,wt=13): 7762 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7760(a,1,1)),flip(a)]. given #6674 (H,wt=14): 7461 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7450(a,1),5688(a,1))]. given #6675 (H,wt=14): 7474 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7451(a,1),5706(a,1))]. given #6676 (H,wt=14): 7489 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7460(a,1),5686(a,1))]. given #6677 (H,wt=14): 7511 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7490(a,1),5706(a,1))]. given #6678 (H,wt=14): 7517 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(7491(a,1),5688(a,1))]. given #6679 (H,wt=14): 7532 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7505(a,1),5706(a,1))]. given #6680 (H,wt=14): 7545 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7506(a,1),5706(a,1))]. given #6681 (H,wt=14): 7578 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7562(a,1),5692(a,1,1)),flip(b)]. given #6682 (H,wt=14): 7612 K(x,y) != z | K(T(x,u),T(y,u)) = z. [para(7594(a,1),7212(a,1))]. given #6683 (H,wt=14): 7645 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7590(a,1),256(a,1,1)),flip(b)]. given #6684 (H,wt=14): 7695 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6646(a,1),7685(a,1,2,2))]. given #6685 (H,wt=14): 7725 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7640(a,1),6838(a,1,2))]. given #6686 (H,wt=14): 7730 K(x,x / (x / y)) != z | K(x,y) = z. [para(7668(a,2),4989(a,1))]. given #6687 (H,wt=14): 7733 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7689(a,2),4860(a,1))]. given #6688 (H,wt=14): 7736 K(x * K(y,z),z) != u | K(x,z) = u. [para(7706(a,2),4982(a,1))]. given #6689 (H,wt=14): 7740 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5644(a,1),7735(a,1,1,2))]. given #6690 (H,wt=14): 7755 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6429(a,1),7744(a,1,1,1))]. given #6691 (H,wt=14): 7763 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5682(a,2),7474(a,1))]. given #6692 (H,wt=14): 7766 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7490(a,2),7474(a,1))]. given #6693 (H,wt=14): 7767 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7505(a,2),7474(a,1))]. given #6694 (H,wt=14): 7775 T(K(x,y),T(y,z)) != u | K(x,y) = u. [para(205(a,1),7645(a,1,1,2))]. given #6695 (H,wt=14): 7777 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(3452(a,1),7645(a,1,1))]. given #6696 (H,wt=14): 7780 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6964(a,2),7645(a,1))]. given #6697 (H,wt=14): 7782 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7141(a,2),7645(a,1))]. given #6698 (H,wt=14): 7784 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6273(a,1),7695(a,1,2,2))]. given #6699 (H,wt=14): 7788 K(x * y,y) != z | K(y * x,y) = z. [para(98(a,1),7736(a,1,1))]. given #6700 (H,wt=14): 7790 K(K(x,y) * z,y) != u | K(z,y) = u. [para(7099(a,1),7736(a,1,1))]. given #6701 (H,wt=14): 7791 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7140(a,1),7736(a,1,1))]. given #6702 (H,wt=14): 7792 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6659(a,1),7740(a,1,1,2))]. given #6703 (H,wt=14): 7794 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6354(a,1),7755(a,1,1,1))]. given #6704 (H,wt=14): 7813 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7100(a,1),7792(a,1,1)),flip(a)]. given #6705 (H,wt=15): 7453 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7450(a,1),4770(a,2,1)),flip(a)]. given #6706 (H,wt=15): 7459 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7450(a,1),5680(a,1,2))]. given #6707 (H,wt=10): 7818 K(x,K(y,R(x,z,u))) = 1. [hyper(72,a,3063,a(flip),b,7459,a),flip(a)]. given #6708 (H,wt=10): 7821 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7818,a)]. given #6709 (H,wt=14): 7822 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7821(a,1),38(a,1,1)),flip(a)]. given #6710 (H,wt=15): 7462 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7450(a,1),5685(a,1,1))]. given #6711 (H,wt=15): 7464 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7450(a,1),6975(a,1,1))]. given #6712 (H,wt=15): 7465 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7450(a,1),6976(a,1,2))]. given #6713 (H,wt=15): 7466 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7450(a,1),7417(a,1,1))]. given #6714 (H,wt=13): 7827 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7466(a,1),6813(a,1,2))]. given #6715 (H,wt=15): 7469 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(75,a,7451,a(flip),b,4749,a(flip))]. given #6716 (H,wt=15): 7479 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(6826(a,1),7451(a,1,1)),flip(a)]. given #6717 (H,wt=15): 7486 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7079(a,1),7455(a,1,1)),flip(a)]. given #6718 (H,wt=13): 7831 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(240,a,7504,a(flip),b,7486,a)]. given #6719 (H,wt=13): 7832 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(240,a,7455,a(flip),b,7486,a)]. given #6720 (H,wt=11): 7836 T(x,K(y,y * T(x,z))) = x. [hyper(240,a,7010,a(flip),b,7832,a)]. given #6721 (H,wt=13): 7833 T(x,K(y \ z,y)) = T(x,K(y,z)). [para(14(a,1),7831(a,1,2,2)),flip(a)]. given #6722 (H,wt=13): 7835 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(7578,a,7832,a)]. given #6723 (H,wt=13): 7838 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7832(a,1,2,2)),flip(a)]. given #6724 (H,wt=13): 7839 T(x,K(y,z / y)) = T(x,K(y,z)). [para(6683(a,1),7832(a,1,2)),flip(a)]. given #6725 (H,wt=13): 7841 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,7833,a)]. given #6726 (H,wt=13): 7845 T(x,K(y,y \ z)) = T(x,K(z,y)). [para(14(a,1),7835(a,1,2,1)),flip(a)]. given #6727 (H,wt=13): 7846 T(x,K(y * z,z)) = T(x,K(z,y)). [para(6469(a,2),7835(a,1,2))]. given #6728 (H,wt=15): 7499 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7487(a,1),5680(a,1,2))]. given #6729 (H,wt=15): 7501 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6682(a,2),7487(a,1,2))]. given #6730 (H,wt=15): 7508 K(x,K(y,z)) * K(y,x) = T(K(y,x),z). [para(7490(a,1),4809(a,2,1)),flip(a)]. given #6731 (H,wt=15): 7512 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(240,a,6998,a,b,7491,a),flip(a)]. given #6732 (H,wt=15): 7524 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(7491(a,1),6975(a,1,1))]. given #6733 (H,wt=15): 7525 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7491(a,2),6975(a,1,1))]. given #6734 (H,wt=15): 7526 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7491(a,1),6976(a,1,2))]. given #6735 (H,wt=15): 7527 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7491(a,2),6976(a,1,2))]. given #6736 (H,wt=15): 7528 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7142(a,1),7491(a,1,2))]. given #6737 (H,wt=15): 7534 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7506(a,1),4800(a,2,2)),flip(a)]. given #6738 (H,wt=15): 7537 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(7506(a,1),5178(a,1,1))]. given #6739 (H,wt=15): 7538 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7506(a,1),5183(a,1,1))]. given #6740 (H,wt=15): 7552 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7507(a,1),6976(a,1,2))]. given #6741 (H,wt=15): 7554 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4302(a,1),7482(a,1,2))]. given #6742 (H,wt=15): 7556 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5772(a,1),7482(a,1,2))]. given #6743 (H,wt=15): 7559 T(x,K(y,z * x)) = K(y,K(x,z)) * x. [para(7452(a,1),7494(a,1,1)),flip(a)]. given #6744 (H,wt=13): 7867 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(240,a,7494,a(flip),b,7559,a)]. given #6745 (H,wt=13): 7868 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,7867,a)]. given #6746 (H,wt=13): 7869 T(x,K(y,z / x)) = T(x,K(y,z)). [para(16(a,1),7867(a,1,2,2)),flip(a)]. given #6747 (H,wt=13): 7871 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7578,a,7868,a)]. given #6748 (H,wt=15): 7563 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5198,a,7560,a)]. given #6749 (H,wt=15): 7564 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(421,a,7560,a)]. given #6750 (H,wt=15): 7565 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(240,a,7006,a,b,7560,a),flip(a)]. given #6751 (H,wt=15): 7566 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(240,a,6899,a,b,7560,a),flip(a)]. given #6752 (H,wt=15): 7567 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(240,a,7056,a(flip),b,7560,a)]. given #6753 (H,wt=15): 7568 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(240,a,6939,a(flip),b,7560,a)]. given #6754 (H,wt=15): 7569 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(240,a,6178,a(flip),b,7560,a)]. given #6755 (H,wt=15): 7570 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7560(a,1),122(a,1,2))]. given #6756 (H,wt=15): 7574 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7560(a,1),5691(a,1,1))]. given #6757 (H,wt=15): 7584 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(7555(a,1),4800(a,2,2))]. given #6758 (H,wt=15): 7596 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5469(a,2),7592(a,1,1))]. given #6759 (H,wt=15): 7597 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5678(a,2),7592(a,1,1))]. given #6760 (H,wt=15): 7613 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7594(a,1),7165(a,1,1)),flip(a)]. given #6761 (H,wt=15): 7626 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3976(a,1),7600(a,1,2))]. given #6762 (H,wt=13): 7892 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(240,a,7728,a(flip),b,7626,a)]. given #6763 (H,wt=15): 7631 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7600(a,1),4800(a,2,2))]. given #6764 (H,wt=15): 7652 K(x \ y,z) * y = y * K(y / x,z). [para(6009(a,1),7591(a,1,1))]. given #6765 (H,wt=15): 7654 T(K(x \ y,z),y) = K((x / y) \ 1,z). [hyper(240,a,5486,a,b,7598,a)]. given #6766 (H,wt=15): 7658 x / K(x / y,z) = K(y \ x,z) \ x. [para(7598(a,1),6940(a,1,2))]. given #6767 (H,wt=15): 7661 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7605(a,1),5253(a,1,1))]. given #6768 (H,wt=11): 7897 T(x,T(T(y,z),z)) = T(x,y). [hyper(17,a,7223,a(flip),b,7661,a(flip)),flip(a)]. given #6769 (H,wt=13): 7901 T(x,T(y \ z,y)) = T(x,z / y). [para(124(a,1),7897(a,1,2,1))]. given #6770 (H,wt=13): 7902 T(x,(y * z) / y) = T(x,T(z,y)). [para(176(a,1),7897(a,1,2,1)),flip(a)]. given #6771 (H,wt=13): 7904 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4777(a,1),7897(a,1,2,1)),flip(a)]. given #6772 (H,wt=15): 7663 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(6163,a,7606,a)]. given #6773 (H,wt=15): 7672 K(x / y,z / x) = K(y \ x,x \ z). [para(124(a,1),7608(a,1,2)),flip(a)]. given #6774 (H,wt=15): 7677 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5151,a,7611,a)]. given #6775 (H,wt=15): 7678 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,5785,a,b,7611,a)]. given #6776 (H,wt=15): 7680 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(75,a,7611,a(flip),b,4780,a)]. given #6777 (H,wt=15): 7682 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7611(a,1),4779(a,1,2)),flip(a)]. given #6778 (H,wt=15): 7696 T(x,y * (z * K(x,u))) = T(x,y * z). [para(6661(a,1),7685(a,1,2))]. given #6779 (H,wt=15): 7698 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(7101(a,1),7685(a,1,2)),flip(a)]. given #6780 (H,wt=15): 7705 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(7101(a,1),7686(a,1,2)),flip(a)]. given #6781 (H,wt=15): 7709 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(240,a,5486,a,b,7618,a)]. given #6782 (H,wt=15): 7750 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6661(a,1),7742(a,1,1))]. given #6783 (H,wt=15): 7752 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7163(a,1),7743(a,1,1,1))]. given #6784 (H,wt=15): 7756 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7744(a,1),7451(a,1,1)),flip(a)]. given #6785 (H,wt=15): 7761 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(240,a,7751,a,b,7760,a),flip(a)]. given #6786 (H,wt=15): 7776 K(x,T(y,L(x,z,u))) != w | K(x,y) = w. [para(3061(a,1),7645(a,1))]. given #6787 (H,wt=15): 7779 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(6839(a,1),7645(a,1,1))]. given #6788 (H,wt=15): 7781 T(K(x,y),L(x,z,u)) != w | K(x,y) = w. [para(6983(a,1),7645(a,1,1))]. given #6789 (H,wt=15): 7793 K((K(x,y) * z) * u,x) = K(z * u,x). [para(118(a,1),7755(a,1,1))]. given #6790 (H,wt=15): 7829 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(124(a,1),7827(a,1,2,2)),flip(a)]. given #6791 (H,wt=13): 7929 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(240,a,7287,a(flip),b,7829,a)]. given #6792 (H,wt=15): 7830 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(240,a,7451,a(flip),b,7479,a)]. given #6793 (H,wt=15): 7849 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(240,a,7832,a,b,7839,a)]. given #6794 (H,wt=15): 7854 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2161,a,7512,a)]. given #6795 (H,wt=15): 7866 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7545,a,7556,a),flip(a)]. given #6796 (H,wt=13): 7934 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(240,a,7555,a(flip),b,7866,a)]. given #6797 (H,wt=13): 7935 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(240,a,7491,a(flip),b,7934,a)]. given #6798 (H,wt=13): 7936 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(62(a,1),7934(a,1,2,1)),flip(a)]. given #6799 (H,wt=13): 7937 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7511,a,7935,a)]. given #6800 (H,wt=13): 7938 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7474,a,7935,a)]. given #6801 (H,wt=13): 7939 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7545,a,7936,a)]. given #6802 (H,wt=13): 7940 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(240,a,7450,a,b,7936,a)]. given #6803 (H,wt=13): 7942 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(240,a,7507,a,b,7938,a)]. given #6804 (H,wt=13): 7943 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(62(a,1),7938(a,1,2,1)),flip(a)]. given #6805 (H,wt=13): 7945 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(240,a,7554,a,b,7939,a(flip)),flip(a)]. given #6806 (H,wt=13): 7948 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(240,a,7487,a,b,7943,a)]. given #6807 (H,wt=13): 7949 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7545,a,7945,a)]. given #6808 (H,wt=13): 7950 K(K(x,y \ 1),z) = K(x,K(y,z)). [hyper(7517,a,7945,a)]. given #6809 (H,wt=13): 7951 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7511,a,7945,a)]. given #6810 (H,wt=13): 7952 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(240,a,7507,a,b,7945,a)]. given #6811 (H,wt=13): 7953 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(240,a,7487,a,b,7945,a)]. given #6812 (H,wt=13): 7954 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(3449(a,1),7945(a,1,2)),flip(a)]. given #6813 (H,wt=13): 7955 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3451(a,2),7945(a,1,2))]. given #6814 (H,wt=13): 7961 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(240,a,7487,a,b,7949,a)]. given #6815 (H,wt=13): 7962 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(240,a,7491,a(flip),b,7949,a)]. given #6816 (H,wt=13): 7964 K(1 / x,K(y,z)) = K(y,K(x,z)). [hyper(5434,a,7951,a)]. given #6817 (H,wt=13): 7965 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(240,a,7507,a,b,7951,a)]. given #6818 (H,wt=13): 7966 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7951,a)]. given #6819 (H,wt=13): 7967 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(65(a,1),7952(a,1,2,2)),flip(a)]. given #6820 (H,wt=13): 7971 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(65(a,1),7953(a,1,2,2)),flip(a)]. given #6821 (H,wt=13): 7975 K(1 / x,K(y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7964,a)]. given #6822 (H,wt=15): 7872 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(182,a,6962,a,b,7563,a)]. given #6823 (H,wt=15): 7875 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7094(a,2),7563(a,1,2))]. given #6824 (H,wt=15): 7880 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5694(a,1),7566(a,1,2)),flip(a)]. given #6825 (H,wt=15): 7887 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(240,a,5469,a,b,7596,a(flip)),flip(a)]. given #6826 (H,wt=15): 7888 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(5679,a,7597,a)]. given #6827 (H,wt=15): 7889 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(240,a,5333,a,b,7613,a)]. given #6828 (H,wt=15): 7896 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(75,a,7661,a(flip),b,5059,a(flip))]. given #6829 (H,wt=15): 7908 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(240,a,4431,a,b,7904,a(flip)),flip(a)]. given #6830 (H,wt=15): 7917 T(x,y * (z * x)) = T(x,y * (x * z)). [para(98(a,1),7696(a,1,2,2)),flip(a)]. given #6831 (H,wt=15): 7918 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7493(a,1),7696(a,1,2,2))]. given #6832 (H,wt=15): 7919 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(240,a,6948,a,b,7698,a(flip)),flip(a)]. given #6833 (H,wt=15): 7920 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(240,a,6926,a,b,7705,a(flip)),flip(a)]. given #6834 (H,wt=15): 7923 K(x * (K(y,z) * u),y) = K(x * u,y). [para(6988(a,1),7750(a,1,1,2))]. given #6835 (H,wt=15): 7926 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(240,a,7451,a(flip),b,7756,a)]. given #6836 (H,wt=14): 7992 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7926(a,1),5967(a,1,3))]. given #6837 (H,wt=15): 7930 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(62(a,1),7929(a,1,2,2)),flip(a)]. given #6838 (H,wt=15): 7931 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7489,a,7830,a)]. given #6839 (H,wt=15): 7933 K(x,T(y,z)) \ K(y,K(z,x)) = K(y,x). [hyper(73,a,7507,a,b,7854,a)]. given #6840 (H,wt=15): 7946 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(7940(a,1),7503(a,1,2)),flip(a)]. given #6841 (H,wt=13): 7996 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(240,a,7530,a(flip),b,7946,a)]. given #6842 (H,wt=13): 7997 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6206,a,7996,a)]. given #6843 (H,wt=15): 7956 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5599(a,2),7945(a,1,2))]. given #6844 (H,wt=15): 7957 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6111(a,1),7945(a,1,2)),flip(a)]. given #6845 (H,wt=15): 7968 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7952(a,1),4800(a,2,2))]. given #6846 (H,wt=13): 8002 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(240,a,4800,a,b,7968,a)]. given #6847 (H,wt=13): 8003 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(240,a,7530,a(flip),b,7968,a)]. given #6848 (H,wt=13): 8004 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7578,a,8002,a)]. given #6849 (H,wt=13): 8008 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7578,a,8003,a)]. given #6850 (H,wt=15): 7969 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5604(a,1),7952(a,1,2))]. given #6851 (H,wt=15): 7978 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(75,a,7965,a(flip),b,5040,a),flip(a)]. given #6852 (H,wt=15): 7991 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5178(a,1),7926(a,1,1)),flip(a)]. given #6853 (H,wt=15): 8005 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(6912,a,8002,a),flip(a)]. given #6854 (H,wt=13): 8012 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(6912,a,8005,a),flip(a)]. given #6855 (H,wt=15): 8006 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6111(a,1),8002(a,1,2))]. given #6856 (H,wt=13): 8016 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(240,a,7996,a(flip),b,8006,a)]. given #6857 (H,wt=13): 8017 T(x,K(y,z \ y)) = T(x,K(y,z)). [hyper(240,a,7838,a(flip),b,8006,a)]. given #6858 (H,wt=13): 8018 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),8016(a,1,2,2)),flip(a)]. given #6859 (H,wt=13): 8019 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(7578,a,8017,a)]. given #6860 (H,wt=13): 8022 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,8018,a)]. given #6861 (H,wt=13): 8023 T(x,K(y,y / z)) = T(x,K(z,y)). [para(65(a,1),8019(a,1,2,1)),flip(a)]. given #6862 (H,wt=15): 8009 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6111(a,1),8003(a,1,2)),flip(a)]. given #6863 (H,wt=15): 8011 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(240,a,7469,a(flip),b,7978,a),flip(a)]. given #6864 (H,wt=15): 8014 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(240,a,4800,a(flip),b,8012,a)]. given #6865 (H,wt=13): 8028 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(7038,a,8014,a)]. given #6866 (H,wt=13): 8029 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4858,a,8014,a)]. given #6867 (H,wt=13): 8030 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(240,a,6964,a(flip),b,8028,a)]. given #6868 (H,wt=13): 8031 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(240,a,7241,a(flip),b,8029,a(flip)),flip(a)]. given #6869 (H,wt=13): 8033 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(240,a,6969,a(flip),b,8029,a(flip)),flip(a)]. given #6870 (H,wt=13): 8034 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(65(a,1),8029(a,1,2,2)),flip(a)]. given #6871 (H,wt=13): 8038 K(x,T(y,x / z)) = K(x,T(y,z)). [para(65(a,1),8031(a,1,2,2)),flip(a)]. given #6872 (H,wt=15): 8015 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6086(a,1),8012(a,1,2))]. given #6873 (H,wt=15): 8032 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(240,a,7237,a(flip),b,8029,a(flip))]. given #6874 (H,wt=15): 8035 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6086(a,1),8029(a,1,2))]. given #6875 (H,wt=15): 8040 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(13(a,1),8033(a,1,2,2))]. given #6876 (H,wt=15): 8042 K(x,T(y / z,y \ z)) = K(x,y / z). [para(208(a,1),8035(a,1,2)),flip(a)]. given #6877 (H,wt=16): 7457 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7450(a,1),4803(a,1,2))]. given #6878 (H,wt=16): 7458 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(7450(a,1),4810(a,1,1))]. given #6879 (H,wt=16): 7485 T(x,K(y,z)) != x * u | K(z,K(y,x)) = u. [para(7454(a,1),19(a,1))]. given #6880 (H,wt=16): 7495 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7487(a,1),4803(a,1,2))]. given #6881 (H,wt=16): 7496 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7487(a,1),4810(a,1,1))]. given #6882 (H,wt=16): 7502 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(6937(a,1),7487(a,1,2)),flip(a)]. given #6883 (H,wt=16): 7515 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7491(a,2),4810(a,1,1))]. given #6884 (H,wt=16): 7550 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7507(a,1),4803(a,1,2))]. given #6885 (H,wt=16): 7580 T(x,K(y,z)) != u * x | K(y,K(z,x)) = u. [para(7504(a,1),20(a,1))]. given #6886 (H,wt=16): 7582 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(7533(a,1),5696(a,1))]. given #6887 (H,wt=16): 7593 (x * K(y,z)) / x != u | K(y,T(z,x)) = u. [para(7577(a,2),7299(a,1))]. given #6888 (H,wt=16): 7604 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(240,a,7355,a(flip),b,7594,a(flip))]. given #6889 (H,wt=16): 7614 x * K(y,z) != u | K(y,T(z,x)) * x = u. [para(7594(a,1),6989(a,1,2))]. given #6890 (H,wt=16): 7616 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7599(a,1),184(a,1,2)),flip(b)]. given #6891 (H,wt=16): 7646 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(7590(a,1),83(a,1,1)),flip(b)]. given #6892 (H,wt=16): 7710 K(x / y,z) != u | K(y \ x,T(z,y)) = u. [para(7618(a,1),7299(a,1))]. given #6893 (H,wt=16): 7715 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(7623(a,2),7302(a,1))]. given #6894 (H,wt=16): 7724 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(7640(a,1),5194(a,1,2))]. given #6895 (H,wt=16): 7764 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(7080(a,2),7474(a,1))]. given #6896 (H,wt=16): 7765 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(7449(a,2),7474(a,1))]. given #6897 (H,wt=16): 7768 K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. [para(7492(a,2),7489(a,1))]. given #6898 (H,wt=16): 7769 K(x,K(x * y,z)) != u | K(y,K(x,z)) = u. [para(7557(a,2),7489(a,1))]. given #6899 (H,wt=16): 7774 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7452(a,2),7545(a,1))]. given #6900 (H,wt=16): 7778 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6009(a,1),7645(a,1))]. given #6901 (H,wt=16): 7783 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(7618(a,1),7645(a,1))]. given #6902 (H,wt=16): 7786 K(x,y / T(z,x)) != u | K(x,y / z) = u. [para(7104(a,1),7733(a,1,2))]. given #6903 (H,wt=16): 7789 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1327(a,1),7736(a,1,1))]. given #6904 (H,wt=16): 7795 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6091(a,2),7777(a,1))]. given #6905 (H,wt=16): 7796 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(124(a,1),7780(a,1,2,1))]. given #6906 (H,wt=16): 7797 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7162(a,1),7780(a,1))]. given #6907 (H,wt=16): 7798 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(7169(a,1),7780(a,1))]. given #6908 (H,wt=16): 7800 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7008(a,1),7780(a,1))]. given #6909 (H,wt=16): 7802 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7605(a,2),7780(a,1))]. given #6910 (H,wt=14): 8063 K(x \ (x * y),z) != u | K(y,z) = u. [para(7162(a,1),7802(a,1))]. given #6911 (H,wt=14): 8065 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),8063(a,1,1,2))]. given #6912 (H,wt=14): 8066 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7746(a,1),8063(a,1))]. given #6913 (H,wt=14): 8067 K(x * y,x) != z | K(y * x,x) = z. [para(4774(a,1),8066(a,1,1))]. given #6914 (H,wt=14): 8070 K(x * K(y,z),y) != u | K(x,y) = u. [para(7611(a,1),8066(a,1,1))]. given #6915 (H,wt=16): 7806 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(124(a,1),7782(a,1,2))]. given #6916 (H,wt=16): 7810 K(T(x,y) \ z,x) != u | K(x \ z,x) = u. [para(5078(a,1),7790(a,1,1))]. given #6917 (H,wt=16): 7815 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4783(a,1),7794(a,1,1)),flip(a)]. given #6918 (H,wt=16): 7828 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7466(a,1),6843(a,1,2))]. given #6919 (H,wt=16): 7843 T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. [para(7833(a,2),7578(a,1))]. given #6920 (H,wt=16): 7847 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(7835(a,1),7578(a,1))]. given #6921 (H,wt=16): 7848 T(x,K(y,y \ z)) != u | T(x,K(z,y)) = u. [para(7838(a,2),7578(a,1))]. given #6922 (H,wt=16): 7850 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7845(a,2),7578(a,1))]. given #6923 (H,wt=16): 7851 T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. [para(7846(a,2),7578(a,1))]. given #6924 (H,wt=16): 7944 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(7938(a,2),7545(a,1))]. given #6925 (H,wt=16): 7947 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(7940(a,2),7474(a,1))]. given #6926 (H,wt=16): 7958 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7945(a,2),7545(a,1))]. given #6927 (H,wt=16): 7960 K(x,K(y,z \ x)) != u | K(x,K(z,y)) = u. [para(7948(a,2),7489(a,1))]. given #6928 (H,wt=16): 7973 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(7955(a,2),7545(a,1))]. given #6929 (H,wt=16): 7976 K(1 / x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7964(a,2),7545(a,1))]. given #6930 (H,wt=16): 7979 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(7967(a,2),7545(a,1))]. given #6931 (H,wt=16): 7981 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7971(a,2),7545(a,1))]. given #6932 (H,wt=16): 8010 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8008(a,2),7578(a,1))]. given #6933 (H,wt=16): 8013 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8005(a,1),6912(a,1))]. given #6934 (H,wt=16): 8021 T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. [para(8017(a,2),7578(a,1))]. given #6935 (H,wt=16): 8044 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8035(a,1),7303(a,1))]. given #6936 (H,wt=16): 8046 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(6260(a,1),7765(a,1))]. given #6937 (H,wt=16): 8061 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7142(a,2),7797(a,1))]. given #6938 (H,wt=16): 8064 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7594(a,1),7802(a,1))]. given #6939 (H,wt=16): 8068 K(x \ y,x) != z | K(T(x,u) \ y,x) = z. [para(5057(a,1),8066(a,1,1))]. given #6940 (H,wt=16): 8071 K((1 / x) \ y,y) != z | K(x * y,y) = z. [para(6468(a,2),8067(a,1))]. given #6941 (H,wt=16): 8076 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4959(a,2),7850(a,1,2))]. given #6942 (H,wt=16): 8077 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7487(a,1),7944(a,1))]. given #6943 (H,wt=16): 8078 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(7507(a,1),7947(a,1))]. given #6944 (H,wt=16): 8083 T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. [para(6198(a,2),8021(a,1,2))]. given #6945 (H,wt=16): 8084 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7241(a,2),8044(a,1))]. given #6946 (H,wt=16): 8087 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4776(a,1),8064(a,1,1))]. given #6947 (H,wt=16): 8088 K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. [para(4882(a,1),8064(a,1,1))]. given #6948 (H,wt=16): 8090 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5266(a,1),8071(a,1))]. given #6949 (H,wt=17): 7403 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6689(a,1),7074(a,1,2))]. given #6950 (H,wt=17): 7407 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7405(a,1),4800(a,2,2)),flip(a)]. given #6951 (H,wt=15): 8094 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4803,a,7407,a),flip(a)]. given #6952 (H,wt=15): 8095 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(240,a,7084,a,b,8094,a(flip)),flip(a)]. given #6953 (H,wt=15): 8096 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(240,a,6094,a,b,8094,a(flip)),flip(a)]. given #6954 (H,wt=15): 8097 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),8095(a,2,2,2))]. given #6955 (H,wt=15): 8100 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(3013,a,8097,a),flip(a)]. given #6956 (H,wt=17): 7408 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(307,a,7092,a),flip(a)]. given #6957 (H,wt=17): 7415 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3190(a,1),7161(a,2,2))]. given #6958 (H,wt=17): 7424 (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). [hyper(307,a,7192,a),flip(a)]. given #6959 (H,wt=15): 8104 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(75,a,4800,a,b,7424,a)]. given #6960 (H,wt=17): 7430 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(240,a,7349,a(flip),b,7214,a)]. given #6961 (H,wt=17): 7432 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(7226(a,1),65(a,1,1)),flip(a)]. given #6962 (H,wt=17): 7438 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,6469,a,b,7268,a(flip)),flip(a)]. given #6963 (H,wt=17): 7440 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(240,a,7369,a(flip),b,7288,a)]. given #6964 (H,wt=17): 7441 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7322(a,1),65(a,1,1))]. given #6965 (H,wt=17): 7443 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). [para(7351(a,1),7098(a,1,1))]. given #6966 (H,wt=17): 7470 (x * K(y,z)) * K(y,K(z,x)) = K(y,z) * x. [para(7451(a,1),98(a,1,2))]. given #6967 (H,wt=17): 7480 (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). [para(7451(a,1),7108(a,1,1,2))]. given #6968 (H,wt=17): 7509 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7490(a,1),4774(a,1,1))]. given #6969 (H,wt=17): 7513 K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). [hyper(240,a,6019,a,b,7491,a),flip(a)]. given #6970 (H,wt=17): 7516 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7491(a,2),4815(a,1,1))]. given #6971 (H,wt=17): 7519 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(7491(a,2),5929(a,1,2))]. given #6972 (H,wt=17): 7535 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7506(a,1),4782(a,2,1))]. given #6973 (H,wt=17): 7536 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7506(a,1),5078(a,1,1))]. given #6974 (H,wt=17): 7546 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7506(a,1),7104(a,1,2))]. given #6975 (H,wt=17): 7553 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7144(a,1),7507(a,1,2)),flip(a)]. given #6976 (H,wt=17): 7587 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7561(a,1),5691(a,1,1))]. given #6977 (H,wt=17): 7601 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(240,a,7161,a,b,7594,a(flip)),flip(a)]. given #6978 (H,wt=17): 7602 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(240,a,7160,a,b,7594,a(flip)),flip(a)]. given #6979 (H,wt=17): 7621 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7600(a,1,2))]. given #6980 (H,wt=17): 7625 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1277(a,1),7600(a,1,1)),flip(a)]. given #6981 (H,wt=17): 7627 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(4140(a,1),7600(a,1,1))]. given #6982 (H,wt=17): 7628 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4216(a,1),7600(a,1,1)),flip(a)]. given #6983 (H,wt=17): 7634 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(4838(a,1),7600(a,1,1)),flip(a)]. given #6984 (H,wt=17): 7635 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7600(a,1),5164(a,1,1)),flip(a)]. given #6985 (H,wt=17): 7636 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7600(a,1),5317(a,1,1)),flip(a)]. given #6986 (H,wt=17): 7642 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [hyper(655,a,7579,a)]. given #6987 (H,wt=17): 7653 K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). [para(6986(a,2),7591(a,1,1))]. given #6988 (H,wt=17): 7655 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(240,a,6213,a(flip),b,7598,a(flip)),flip(a)]. given #6989 (H,wt=17): 7664 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(38(a,1),7606(a,1,2))]. given #6990 (H,wt=17): 7667 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7394,a,7607,a)]. given #6991 (H,wt=17): 7674 K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). [hyper(7307,a,7609,a)]. given #6992 (H,wt=17): 7679 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5726,a,b,7611,a)]. given #6993 (H,wt=15): 8125 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(240,a,5604,a(flip),b,7679,a)]. given #6994 (H,wt=15): 8128 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(240,a,7075,a(flip),b,8125,a(flip)),flip(a)]. given #6995 (H,wt=15): 8129 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(13(a,1),8128(a,1,2,1,1)),flip(a)]. given #6996 (H,wt=17): 7684 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6210(a,1),7611(a,1,1))]. given #6997 (H,wt=15): 8130 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(240,a,7104,a(flip),b,7684,a)]. given #6998 (H,wt=15): 8132 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(6964(a,2),8130(a,1,1))]. given #6999 (H,wt=17): 7718 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7142(a,1),7629(a,1,1,2))]. given #7000 (H,wt=17): 7732 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(6766(a,1),7671(a,1,1))]. given #7001 (H,wt=17): 7807 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(791(a,1),7782(a,1,1))]. given #7002 (H,wt=17): 7808 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(98(a,1),7784(a,1,2))]. given #7003 (H,wt=17): 7812 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),7792(a,1,1))]. given #7004 (H,wt=17): 7814 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4774(a,1),7794(a,1,1))]. given #7005 (H,wt=17): 7834 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7831(a,1),7575(a,1,1))]. given #7006 (H,wt=17): 7837 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [hyper(240,a,6902,a(flip),b,7832,a)]. given #7007 (H,wt=17): 7840 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,7836,a)]. given #7008 (H,wt=17): 7856 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7525(a,1),4779(a,1,2)),flip(a)]. given #7009 (H,wt=17): 7861 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(240,a,7558,a(flip),b,7528,a(flip))]. given #7010 (H,wt=17): 7862 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7234(a,1),7528(a,2,2))]. given #7011 (H,wt=17): 7873 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(5926(a,1),7563(a,1,2)),flip(a)]. given #7012 (H,wt=17): 7876 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7103(a,1),7563(a,1,2)),flip(a)]. given #7013 (H,wt=17): 7903 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(194(a,1),7897(a,1,2,1))]. given #7014 (H,wt=17): 7906 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(5092(a,2),7902(a,1,2))]. given #7015 (H,wt=17): 7922 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7709(a,1,1,1)),flip(a)]. given #7016 (H,wt=17): 7924 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(7104(a,1),7750(a,1,1,2))]. given #7017 (H,wt=17): 7925 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4783(a,1),7752(a,1,1)),flip(a)]. given #7018 (H,wt=17): 7932 T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). [para(7701(a,2),7849(a,1,2))]. given #7019 (H,wt=17): 7941 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(7937(a,1),6207(a,1,1))]. given #7020 (H,wt=17): 7959 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(7948(a,1),7504(a,1,1))]. given #7021 (H,wt=15): 8149 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [hyper(240,a,7536,a(flip),b,7959,a(flip)),flip(a)]. given #7022 (H,wt=17): 7970 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7952(a,1),7459(a,1,2))]. given #7023 (H,wt=17): 7972 K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). [para(7953(a,1),7504(a,1,1))]. given #7024 (H,wt=15): 8151 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(240,a,7536,a(flip),b,7972,a(flip)),flip(a)]. given #7025 (H,wt=17): 7982 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7880(a,1),7575(a,1,1)),flip(a)]. given #7026 (H,wt=17): 7983 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(7887(a,1),4762(a,2,2))]. given #7027 (H,wt=15): 8153 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(240,a,4762,a,b,7983,a)]. given #7028 (H,wt=17): 7984 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(176(a,1),7888(a,1,2,2,1)),flip(a)]. given #7029 (H,wt=17): 7993 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6409,a,7992,a)]. given #7030 (H,wt=17): 7994 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7930(a,1),7004(a,1,2))]. given #7031 (H,wt=17): 8024 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8022(a,1),38(a,1,1)),flip(a)]. given #7032 (H,wt=15): 8158 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(240,a,6891,a(flip),b,8024,a)]. given #7033 (H,wt=17): 8025 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8022(a,1),7575(a,1,1))]. given #7034 (H,wt=17): 8039 (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). [para(8031(a,1),6988(a,1,2))]. given #7035 (H,wt=17): 8101 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),8100(a,1,2))]. given #7036 (H,wt=17): 8108 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5357(a,1),7441(a,1,1))]. given #7037 (H,wt=17): 8109 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7094(a,2),7509(a,1,2))]. given #7038 (H,wt=17): 8117 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4776(a,1),7627(a,1,2,2))]. given #7039 (H,wt=17): 8120 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7889(a,1),7635(a,1,1))]. given #7040 (H,wt=17): 8122 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(240,a,6462,a(flip),b,7655,a)]. given #7041 (H,wt=17): 8124 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(240,a,7215,a(flip),b,7664,a(flip))]. given #7042 (H,wt=15): 8166 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(240,a,7606,a(flip),b,8124,a)]. given #7043 (H,wt=17): 8131 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5695(a,1),8130(a,1,1))]. given #7044 (H,wt=17): 8137 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(14(a,1),7837(a,1,1)),flip(a)]. given #7045 (H,wt=17): 8139 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(240,a,7487,a,b,7862,a)]. given #7046 (H,wt=17): 8145 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [hyper(17,a,7537,a,b,7941,a),flip(a)]. given #7047 (H,wt=17): 8147 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(7487(a,1),7941(a,1,1))]. given #7048 (H,wt=17): 8148 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7491(a,2),7941(a,1,1))]. given #7049 (H,wt=17): 8154 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(124(a,1),8153(a,1,2,2,1))]. given #7050 (H,wt=17): 8160 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(240,a,4204,a,b,8025,a(flip)),flip(a)]. given #7051 (H,wt=17): 8162 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(240,a,2885,a,b,8101,a)]. given #7052 (H,wt=17): 8163 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4776(a,2),8108(a,1,1,2))]. given #7053 (H,wt=17): 8168 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(7450(a,1),8145(a,1,1))]. given #7054 (H,wt=17): 8169 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(7487(a,1),8145(a,1,1))]. given #7055 (H,wt=17): 8170 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [para(7491(a,2),8145(a,1,1))]. given #7056 (H,wt=17): 8171 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [hyper(5696,a,8148,a)]. given #7057 (H,wt=17): 8175 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(123(a,2),8162(a,2,2,2)),flip(a)]. given #7058 (H,wt=17): 8177 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [hyper(5696,a,8169,a)]. given #7059 (H,wt=17): 8179 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(8175(a,1),65(a,1,1))]. given #7060 (H,wt=18): 6887 T(x,y) * K(y,z) != u | y \ (x * T(y,z)) = u. [para(6877(a,1),5951(a,1))]. given #7061 (H,wt=18): 7049 T(x,y) * T(z,x) != u * x | K(x,y) * z = u. [para(6916(a,1),20(a,1))]. given #7062 (H,wt=18): 7057 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(6939(a,1),5692(a,1,1)),flip(b)]. given #7063 (H,wt=18): 7076 K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. [para(6977(a,1),6167(a,1))]. given #7064 (H,wt=18): 7082 x * K(y,x \ z) != u * x | K(y,z / x) = u. [para(7030(a,1),20(a,1))]. given #7065 (H,wt=18): 7085 T(x,T(y \ 1,z)) != u | T(x,(y * z) \ z) = u. [para(7036(a,1),6165(a,1))]. given #7066 (H,wt=18): 7091 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(7056(a,1),5692(a,1,1)),flip(b)]. given #7067 (H,wt=18): 7121 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(240,a,6277,a(flip),b,7094,a(flip))]. given #7068 (H,wt=18): 7125 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(7094(a,1),306(a,1))]. given #7069 (H,wt=18): 7172 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7142(a,1),5193(a,1,1))]. given #7070 (H,wt=18): 7229 R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). [hyper(240,a,5919,a,b,7191,a),flip(a)]. given #7071 (H,wt=18): 7243 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7142(a,1),7110(a,1,2))]. given #7072 (H,wt=18): 7244 (K(x \ 1,x) * y) \ y != z | K(x,x \ 1) = z. [para(2894(a,2),7112(a,1,1))]. given #7073 (H,wt=18): 7247 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(5955(a,2),7112(a,1,1))]. given #7074 (H,wt=18): 7250 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7142(a,1),7113(a,1,2))]. given #7075 (H,wt=18): 7254 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7006(a,1),7123(a,1,1)),flip(b)]. given #7076 (H,wt=18): 7276 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(7165(a,1),5368(a,1))]. given #7077 (H,wt=18): 7278 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(75,a,7185,a(flip),b,3963,a)]. given #7078 (H,wt=13): 8188 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(483,a,7278,a),flip(a)]. given #7079 (H,wt=16): 8189 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(7278(a,1),483(a,1))]. given #7080 (H,wt=13): 8191 K(x,y) != z | R(K(x,y),y,u) = z. [para(6449(a,1),8189(a,1))]. given #7081 (H,wt=17): 8190 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(240,a,42,a(flip),b,8188,a)]. given #7082 (H,wt=16): 8192 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(8190(a,1),8189(a,1))]. given #7083 (H,wt=18): 7279 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1178(a,1),7185(a,1,1))]. given #7084 (H,wt=17): 8195 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(240,a,4178,a(flip),b,7279,a(flip))]. given #7085 (H,wt=18): 7282 (x * K(y,z)) * z != (x * z) * u | K(y,z) = u. [para(7202(a,2),19(a,1))]. given #7086 (H,wt=18): 7300 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5667(a,2),7299(a,1))]. given #7087 (H,wt=18): 7301 K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. [para(6085(a,2),7299(a,1))]. given #7088 (H,wt=18): 7314 (x * y) * K(z,y) != u | (x * K(z,y)) * y = u. [para(7117(a,1),7205(a,1,1))]. given #7089 (H,wt=18): 7326 (x \ y) * K(x,z) != u | x \ (y * K(x,z)) = u. [para(6885(a,1),6062(a,1))]. given #7090 (H,wt=18): 7360 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7350(a,1),6273(a,1,1)),flip(a)]. given #7091 (H,wt=18): 7375 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6671(a,1),7371(a,1))]. given #7092 (H,wt=18): 7398 (x * y) \ (T(x,z) * y) != u | K(x,T(z,y)) = u. [para(7022(a,2),7307(a,1))]. given #7093 (H,wt=18): 7422 (x * y) / T(x,x * y) = y * (x \ R(x,y,x)). [para(5244(a,1),7187(a,1,2)),flip(a)]. given #7094 (H,wt=16): 8198 x * (y \ R(y,x,y)) = T(y * x,y) / y. [hyper(3973,a,7422,a),flip(a)]. given #7095 (H,wt=18): 7448 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(108(a,2),7447(a,1,2))]. given #7096 (H,wt=18): 7456 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7450(a,1),4785(a,1,1))]. given #7097 (H,wt=18): 7471 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7451(a,1),4803(a,1,2))]. given #7098 (H,wt=14): 8201 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7465(a,1),7471(a,1))]. given #7099 (H,wt=16): 8203 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7970(a,1),7471(a,1))]. given #7100 (H,wt=16): 8204 K(x,T(y,z)) != u | T(K(x,y),z * y) = u. [para(6979(a,1),8201(a,1))]. given #7101 (H,wt=16): 8205 K(T(x,y),z) != u | T(K(x,z),x * y) = u. [para(6980(a,1),8201(a,1))]. given #7102 (H,wt=18): 7472 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(7451(a,1),4810(a,1,1))]. given #7103 (H,wt=18): 7473 K(x,K(y,z)) / z != u | 1 / T(z,K(x,y)) = u. [para(7451(a,1),4888(a,1,1))]. given #7104 (H,wt=18): 7539 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7506(a,1),5191(a,1,1))]. given #7105 (H,wt=18): 7540 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7506(a,1),5193(a,1,1))]. given #7106 (H,wt=18): 7541 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7506(a,1),5200(a,1,1))]. given #7107 (H,wt=18): 7542 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7506(a,1),5235(a,1,1))]. given #7108 (H,wt=18): 7547 x / K(y,K(z,u)) != w | x * K(y,K(z,u)) = w. [para(7506(a,1),7113(a,1,2))]. given #7109 (H,wt=18): 7571 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7560(a,1),421(a,1))]. given #7110 (H,wt=18): 7651 K(x,T(y,z)) != u | K(x,y) * K(z,K(x,y)) = u. [para(7590(a,1),4840(a,1))]. given #7111 (H,wt=18): 7656 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7598(a,1),255(a,1,2,2))]. given #7112 (H,wt=18): 7657 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7598(a,1),6221(a,1))]. given #7113 (H,wt=18): 7707 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7703(a,1),6450(a,1,1))]. given #7114 (H,wt=14): 8208 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7707(a,1),346(a,1)),flip(b)]. given #7115 (H,wt=14): 8209 K(x,y * x) != z | K(x,x * y) = z. [para(98(a,1),8208(a,1,2))]. given #7116 (H,wt=16): 8207 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(240,a,6459,a(flip),b,7707,a(flip)),flip(a)]. given #7117 (H,wt=12): 8213 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(240,a,7703,a(flip),b,8207,a)]. given #7118 (H,wt=16): 8210 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1329(a,1),8208(a,1,2))]. given #7119 (H,wt=16): 8211 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1327(a,1),8208(a,1,2))]. given #7120 (H,wt=16): 8212 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(6679(a,2),8209(a,1))]. given #7121 (H,wt=18): 7708 K(x / y,z / x) != u | K(y \ x,x \ z) = u. [para(7615(a,1),6242(a,1))]. given #7122 (H,wt=18): 7739 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7735(a,1),3867(a,1,1))]. given #7123 (H,wt=16): 8216 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(240,a,6354,a(flip),b,7739,a(flip)),flip(a)]. given #7124 (H,wt=12): 8217 K(R(x,K(y,z),u),z) = K(x,z). [hyper(240,a,7735,a(flip),b,8216,a)]. given #7125 (H,wt=18): 7754 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7744(a,1),5974(a,1,1))]. given #7126 (H,wt=16): 8220 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6279,a,7754,a)]. given #7127 (H,wt=12): 8221 K(L(x,K(y,z),u),y) = K(x,y). [hyper(240,a,7744,a(flip),b,8220,a)]. given #7128 (H,wt=18): 7770 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7142(a,1),7511(a,1,2))]. given #7129 (H,wt=18): 7771 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(6998(a,2),7532(a,1))]. given #7130 (H,wt=18): 7772 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7142(a,1),7545(a,1,2))]. given #7131 (H,wt=18): 7787 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(7101(a,1),7733(a,1,2))]. given #7132 (H,wt=18): 7803 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7782(a,1,2))]. given #7133 (H,wt=18): 7809 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(450(a,1),7784(a,1,2))]. given #7134 (H,wt=18): 7820 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7459(a,2),7299(a,1))]. given #7135 (H,wt=18): 7823 T(K(x,y),z) != u | K(x,y) * K(x,K(y,z)) = u. [para(7462(a,1),5696(a,1))]. given #7136 (H,wt=18): 7825 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7464(a,1),5696(a,1))]. given #7137 (H,wt=18): 7826 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7465(a,1),19(a,1))]. given #7138 (H,wt=18): 7853 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7508(a,2),7299(a,1))]. given #7139 (H,wt=18): 7855 K(x,y) * K(y,K(x,z)) != u | K(x,T(y,z)) = u. [para(7512(a,1),5200(a,1,2)),flip(b)]. given #7140 (H,wt=18): 7863 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(7528(a,1),7532(a,1))]. given #7141 (H,wt=18): 7865 K(x,T(y,z)) != K(x,y) * u | K(z,K(x,y)) = u. [para(7552(a,1),19(a,1))]. given #7142 (H,wt=18): 7879 T(x,K(y,z)) * K(y,z) != u | K(y,z) * x = u. [para(7565(a,1),7123(a,1,1)),flip(b)]. given #7143 (H,wt=18): 7881 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(7567(a,1),5692(a,1,1)),flip(b)]. given #7144 (H,wt=18): 7885 x * T(y,T(x,z)) != u | T(y * x,K(x,z)) = u. [para(7569(a,1),7578(a,1))]. given #7145 (H,wt=18): 7891 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(7613(a,2),5334(a,1))]. given #7146 (H,wt=18): 7893 T(T(x,y),T(z,y)) != T(x,y) * u | K(x,z) = u. [para(7631(a,2),19(a,1))]. given #7147 (H,wt=18): 7898 K(x,T(y,z)) * (z * x) != z * u | T(x,y) = u. [para(7661(a,2),19(a,1))]. given #7148 (H,wt=18): 7911 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7677(a,1),299(a,1,1)),flip(b)]. given #7149 (H,wt=18): 7999 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(7956(a,2),7545(a,1))]. given #7150 (H,wt=18): 8001 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7957(a,1),7545(a,1))]. given #7151 (H,wt=18): 8007 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8002(a,1),6912(a,1))]. given #7152 (H,wt=18): 8026 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8009(a,1),7578(a,1))]. given #7153 (H,wt=18): 8048 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6974(a,2),7778(a,1))]. given #7154 (H,wt=18): 8052 K(x \ 1,T(y,z)) != u | K(z \ (x \ z),y) = u. [para(5491(a,1),7783(a,1))]. given #7155 (H,wt=18): 8054 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7789(a,1,1,2))]. given #7156 (H,wt=15): 8228 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(8054,a,xx),flip(a)]. given #7157 (H,wt=15): 8229 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(16(a,1),8228(a,1,1,2,2)),flip(a)]. given #7158 (H,wt=18): 8069 K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. [para(7600(a,1),8066(a,1,1,1))]. given #7159 (H,wt=18): 8079 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5604(a,1),7958(a,1,2))]. given #7160 (H,wt=18): 8081 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5601(a,2),7979(a,1,2))]. given #7161 (H,wt=18): 8082 T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. [para(6086(a,1),8013(a,1,2))]. given #7162 (H,wt=18): 8085 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(7290(a,1),8044(a,1))]. given #7163 (H,wt=18): 8091 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(3998(a,1),8084(a,1,2))]. given #7164 (H,wt=18): 8098 T(x,y \ (z \ y)) != u | T(x,(z * y) \ y) = u. [para(8096(a,1),6165(a,1))]. given #7165 (H,wt=18): 8113 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7601(a,1),7794(a,1,1,1))]. given #7166 (H,wt=18): 8127 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7679(a,2),6483(a,1))]. given #7167 (H,wt=18): 8182 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5178(a,1),7091(a,1,1))]. given #7168 (H,wt=18): 8184 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5183(a,1),7172(a,1))]. given #7169 (H,wt=18): 8186 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(7094(a,1),7250(a,1))]. given #7170 (H,wt=18): 8215 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8213(a,1,2))]. given #7171 (H,wt=18): 8219 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8217(a,1,1))]. given #7172 (H,wt=18): 8225 K(x,(y * x) / z) != u | K(x,y / (z / x)) = u. [para(7920(a,2),7787(a,1))]. given #7173 (H,wt=18): 8226 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2902(a,1),7879(a,1,1))]. given #7174 (H,wt=18): 8232 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(4774(a,1),8069(a,1,1))]. given #7175 (H,wt=18): 8235 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3456(a,2),8127(a,1))]. given #7176 (H,wt=18): 8236 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7075(a,1),8127(a,1))]. given #7177 (H,wt=18): 8237 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7141(a,1),8184(a,1,1))]. given #7178 (H,wt=18): 8238 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7141(a,1),8186(a,1,2))]. given #7179 (H,wt=18): 8239 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8235(a,1,2,1,2))]. given #7180 (H,wt=17): 8242 K((x * y) / x,x / (x * z)) = K(y,1 / z). [hyper(8239,a,7163,a)]. given #7181 (H,wt=18): 8241 K(x,K(y,z)) != u | K(y,z) * K(z,T(y,x)) = u. [para(5676(a,1),8238(a,1))]. given #7182 (H,wt=19): 6863 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5191,a,6862,a)]. given #7183 (H,wt=19): 6870 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [hyper(240,a,125,a,b,6866,a)]. given #7184 (H,wt=17): 8245 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(240,a,5086,a(flip),b,6870,a)]. given #7185 (H,wt=19): 6919 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5166(a,1),6913(a,1,1))]. given #7186 (H,wt=19): 6924 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6915(a,1),6661(a,1,2,2))]. given #7187 (H,wt=19): 6932 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(6927(a,1),5102(a,1,1))]. given #7188 (H,wt=19): 6938 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6921(a,1),106(a,1,2))]. given #7189 (H,wt=19): 6941 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(240,a,6267,a(flip),b,6923,a(flip))]. given #7190 (H,wt=19): 6949 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(721(a,1),6944(a,1,2))]. given #7191 (H,wt=19): 6960 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5195(a,1),6937(a,1,2)),flip(a)]. given #7192 (H,wt=19): 6973 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(240,a,6466,a,b,6964,a),flip(a)]. given #7193 (H,wt=19): 6991 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(6964(a,2),192(a,1,2,1))]. given #7194 (H,wt=19): 6997 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(6964(a,2),5059(a,2,2))]. given #7195 (H,wt=19): 7000 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(6964(a,2),5687(a,2,1))]. given #7196 (H,wt=19): 7029 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),6988(a,1,2,2))]. given #7197 (H,wt=19): 7102 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(18,a,6012,a,b,7090,a)]. given #7198 (H,wt=19): 7106 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(18,a,5111,a,b,7090,a)]. given #7199 (H,wt=19): 7136 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6352(a,1),7098(a,1,1,2)),flip(a)]. given #7200 (H,wt=17): 8253 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(240,a,6448,a(flip),b,7136,a(flip))]. given #7201 (H,wt=17): 8254 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(8253(a,1),14(a,1,2))]. given #7202 (H,wt=17): 8255 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(8253(a,1),62(a,1,2))]. given #7203 (H,wt=19): 7168 T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. [para(7142(a,1),4828(a,1,2,2))]. given #7204 (H,wt=19): 7225 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(7056(a,1),7169(a,1,2))]. given #7205 (H,wt=19): 7235 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7213(a,1,2))]. given #7206 (H,wt=19): 7263 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(973(a,1),7134(a,1,1))]. given #7207 (H,wt=19): 7272 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(18,a,6138,a,b,7147,a)]. given #7208 (H,wt=19): 7274 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(401,a,7152,a(flip),b,7179,a),flip(a)]. given #7209 (H,wt=15): 8259 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(240,a,7023,a(flip),b,7274,a(flip))]. given #7210 (H,wt=15): 8260 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7897(a,1),8259(a,1,1,2))]. given #7211 (H,wt=19): 7291 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(6964(a,2),7275(a,1,2,2))]. given #7212 (H,wt=19): 7313 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(108(a,1),7312(a,1,2))]. given #7213 (H,wt=19): 7338 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7329(a,1),477(a,1,1,1)),flip(a)]. given #7214 (H,wt=12): 8262 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(4679,a,7338,a)]. given #7215 (H,wt=12): 8264 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(240,a,6659,a(flip),b,8262,a(flip)),flip(a)]. given #7216 (H,wt=16): 8265 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8264(a,1,2))]. given #7217 (H,wt=19): 7347 (x * T(y,K(z,x))) \ (x * (K(x,z) * y)) = K(x,z). [hyper(240,a,5704,a,b,7330,a(flip)),flip(a)]. given #7218 (H,wt=19): 7370 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7337(a,1),393(a,1,1)),flip(a)]. given #7219 (H,wt=19): 7376 K(x,L(L(y,z,x),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(45(a,1),7374(a,1,2))]. given #7220 (H,wt=19): 7380 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7349(a,1),6195(a,2,2))]. given #7221 (H,wt=19): 7382 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(73,a,7356,a(flip),b,5068,a),flip(a)]. given #7222 (H,wt=19): 7391 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7381(a,1),5740(a,1,1)),flip(a)]. given #7223 (H,wt=19): 7401 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(182,a,7050,a,b,984,a)]. given #7224 (H,wt=19): 7425 (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. [para(7192(a,1),7117(a,1,1))]. given #7225 (H,wt=18): 8273 (x * (1 / T(y,z))) * T(y,z) = R(x,y \ 1,y). [hyper(240,a,2518,a(flip),b,7425,a)]. given #7226 (H,wt=17): 8274 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(2520,a,8273,a)]. given #7227 (H,wt=19): 7427 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(7426(a,1),6763(a,1,1,1))]. given #7228 (H,wt=19): 7428 (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). [para(6068(a,2),7195(a,1,1))]. given #7229 (H,wt=19): 7429 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(4980(a,2),7203(a,1,1))]. given #7230 (H,wt=19): 7433 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(240,a,4587,a(flip),b,7237,a(flip))]. given #7231 (H,wt=19): 7463 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7450(a,1),5687(a,1,1))]. given #7232 (H,wt=19): 7475 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7451(a,1),5645(a,2,1))]. given #7233 (H,wt=17): 8282 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6653(a,1),7475(a,1,1)),flip(a)]. given #7234 (H,wt=19): 7476 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7451(a,1),5929(a,1,2))]. given #7235 (H,wt=19): 7520 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7491(a,2),6015(a,1,1,2))]. given #7236 (H,wt=19): 7529 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7491(a,2),7108(a,1,1,2))]. given #7237 (H,wt=19): 7573 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7560(a,1),4131(a,1,2))]. given #7238 (H,wt=19): 7595 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7592(a,1),215(a,1,2,2,1))]. given #7239 (H,wt=17): 8284 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4044,a,7595,a)]. given #7240 (H,wt=19): 7617 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7599(a,1),193(a,1,2,1)),flip(a)]. given #7241 (H,wt=19): 7648 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(7590(a,1),785(a,1,1)),flip(a)]. given #7242 (H,wt=19): 7660 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(793(a,2),7605(a,1,1))]. given #7243 (H,wt=19): 7714 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(793(a,2),7623(a,1,2))]. given #7244 (H,wt=19): 7716 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(240,a,5217,a,b,7629,a(flip)),flip(a)]. given #7245 (H,wt=19): 7717 (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). [para(7629(a,1),4800(a,2,2)),flip(a)]. given #7246 (H,wt=17): 8291 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(5745,a,7717,a)]. given #7247 (H,wt=17): 8292 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(8291(a,1),5188(a,1,2))]. given #7248 (H,wt=19): 7719 K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)). [hyper(240,a,7148,a(flip),b,7630,a)]. given #7249 (H,wt=17): 8295 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). [para(5311(a,1),7719(a,1,2))]. given #7250 (H,wt=17): 8296 K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). [para(4813(a,1),8295(a,1,2,1)),flip(a)]. given #7251 (H,wt=19): 7720 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5130(a,2),7630(a,1,2,2))]. given #7252 (H,wt=19): 7721 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7630(a,1),5453(a,1,2,2)),flip(a)]. given #7253 (H,wt=19): 7722 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4849(a,1),7632(a,1,2,2)),flip(a)]. given #7254 (H,wt=19): 7726 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7260(a,1),7640(a,1,1))]. given #7255 (H,wt=19): 7749 K(x / (y / z),y / z) = K(x / (z \ y),y / z). [para(5953(a,1),7742(a,1,1))]. given #7256 (H,wt=19): 7758 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6009(a,1),7737(a,1,1,2)),flip(a)]. given #7257 (H,wt=19): 7799 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7355(a,1),7780(a,1))]. given #7258 (H,wt=19): 7819 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(6830(a,1),7459(a,1,2,2)),flip(a)]. given #7259 (H,wt=15): 8300 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(240,a,7459,a(flip),b,7819,a)]. given #7260 (H,wt=18): 8301 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7819(a,2),7471(a,1))]. given #7261 (H,wt=19): 7824 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(6982(a,1),7462(a,1,1,2)),flip(a)]. given #7262 (H,wt=15): 8302 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(240,a,7462,a(flip),b,7824,a)]. given #7263 (H,wt=19): 7842 K(x \ y,x) * T(z,K(x,y)) = z * K(x \ y,x). [para(7833(a,1),122(a,1,2))]. given #7264 (H,wt=19): 7844 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(240,a,6939,a(flip),b,7835,a(flip))]. given #7265 (H,wt=19): 7852 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7142(a,1),7499(a,1,2,2))]. given #7266 (H,wt=19): 7857 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(7557(a,1),7525(a,1,1))]. given #7267 (H,wt=19): 7860 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7557(a,1),7527(a,1,2))]. given #7268 (H,wt=19): 7870 T(x,K(y,z)) * K(z * x,y) = K(z * x,y) * x. [para(7867(a,1),5691(a,1,1))]. given #7269 (H,wt=19): 7884 (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). [para(7569(a,1),5691(a,1,1))]. given #7270 (H,wt=19): 7886 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7574(a,1),4523(a,1,2,1)),flip(a)]. given #7271 (H,wt=19): 7899 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(6979(a,1),7661(a,1,1))]. given #7272 (H,wt=19): 7900 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7159(a,1),7661(a,1,1))]. given #7273 (H,wt=19): 7905 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(793(a,2),7902(a,1,2))]. given #7274 (H,wt=19): 7909 T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). [para(38(a,1),7904(a,2,2))]. given #7275 (H,wt=17): 8312 T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). [para(5311(a,1),7909(a,1,2))]. given #7276 (H,wt=19): 7963 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5651(a,2),7949(a,1,2))]. given #7277 (H,wt=19): 7977 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(240,a,5640,a,b,7965,a(flip)),flip(a)]. given #7278 (H,wt=17): 8314 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7951(a,1),7977(a,1,1))]. given #7279 (H,wt=17): 8315 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(7965(a,1),7977(a,1,1))]. given #7280 (H,wt=17): 8316 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7966(a,1),7977(a,1,1))]. given #7281 (H,wt=17): 8317 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,8314,a(flip),b,8315,a(flip))]. given #7282 (H,wt=17): 8320 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(240,a,8315,a(flip),b,8316,a(flip))]. given #7283 (H,wt=17): 8321 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(240,a,8314,a(flip),b,8316,a(flip))]. given #7284 (H,wt=17): 8322 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(240,a,8282,a(flip),b,8316,a(flip)),flip(a)]. given #7285 (H,wt=17): 8327 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(240,a,7487,a,b,8322,a)]. given #7286 (H,wt=19): 7985 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(197(a,1),7888(a,1,2,2,1))]. given #7287 (H,wt=19): 7988 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7685(a,1),7896(a,1,1,2)),flip(a)]. given #7288 (H,wt=15): 8331 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(240,a,7896,a(flip),b,7988,a)]. given #7289 (H,wt=19): 7995 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(6964(a,1),7931(a,1,2))]. given #7290 (H,wt=19): 8020 T(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. [para(8017(a,2),6911(a,1,1))]. given #7291 (H,wt=17): 8333 T(T(x,y \ x) / y,T(x,y \ x)) = x / y. [hyper(6901,a,8020,a)]. given #7292 (H,wt=19): 8027 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7056(a,1),8011(a,1,2)),flip(a)]. given #7293 (H,wt=19): 8041 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(616(a,1),8032(a,1,2)),flip(a)]. given #7294 (H,wt=19): 8043 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(5183(a,1),8035(a,1,2,2)),flip(a)]. given #7295 (H,wt=19): 8045 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [hyper(240,a,8031,a(flip),b,8040,a(flip)),flip(a)]. given #7296 (H,wt=19): 8093 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7403(a,1,2,2,2))]. given #7297 (H,wt=17): 8336 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(240,a,8031,a(flip),b,8093,a)]. given #7298 (H,wt=19): 8105 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(124(a,1),8104(a,1,2,2))]. given #7299 (H,wt=19): 8118 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7797,a,7628,a)]. given #7300 (H,wt=16): 8339 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(240,a,7604,a,b,8118,a),flip(a)]. given #7301 (H,wt=13): 8340 K(T(x * y,y) / x,z) = K(y,z). [hyper(7373,a,8339,a),flip(a)]. given #7302 (H,wt=15): 8342 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8340(a,1,1,1,1))]. given #7303 (H,wt=19): 8119 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4735(a,2),7634(a,1,1,1))]. given #7304 (H,wt=17): 8343 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(240,a,7732,a(flip),b,8119,a(flip))]. given #7305 (H,wt=17): 8344 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),8343(a,1,2,2)),flip(a)]. given #7306 (H,wt=19): 8126 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7679(a,1),4800(a,2,2))]. given #7307 (H,wt=17): 8345 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(240,a,4800,a,b,8126,a)]. given #7308 (H,wt=17): 8346 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8345(a,1,2,1,1)),flip(a)]. given #7309 (H,wt=15): 8348 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4884(a,1),8346(a,1,2)),flip(a)]. given #7310 (H,wt=15): 8349 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(240,a,8095,a(flip),b,8348,a(flip))]. given #7311 (H,wt=15): 8350 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(240,a,5117,a(flip),b,8349,a(flip)),flip(a)]. given #7312 (H,wt=18): 8347 T(x,((y * x) / y) \ 1) != z | (x \ 1) \ 1 = z. [para(8346(a,2),3013(a,1))]. given #7313 (H,wt=18): 8351 T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. [para(8350(a,2),8098(a,1))]. given #7314 (H,wt=19): 8133 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(8033(a,1),7718(a,1,1,2))]. given #7315 (H,wt=17): 8352 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(240,a,7718,a(flip),b,8133,a(flip))]. given #7316 (H,wt=17): 8353 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(8015(a,1),8352(a,1,2))]. given #7317 (H,wt=19): 8150 T((x / (x / y)) \ x,K(x,z)) = x / T(y,K(x,z)). [hyper(6771,a,8149,a),flip(a)]. given #7318 (H,wt=15): 8354 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(65(a,1),8150(a,1,1)),flip(a)]. given #7319 (H,wt=19): 8155 K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). [hyper(240,a,6145,a(flip),b,7984,a(flip))]. given #7320 (H,wt=15): 8356 K(x,y * K(1 / y,z)) = T(K(x,y),z). [hyper(240,a,5681,a(flip),b,8155,a(flip))]. given #7321 (H,wt=19): 8157 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(124(a,1),7994(a,1,2,2)),flip(a)]. given #7322 (H,wt=19): 8161 K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). [para(7609(a,1),8039(a,1,2)),flip(a)]. given #7323 (H,wt=19): 8167 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4784,a,8131,a)]. given #7324 (H,wt=19): 8173 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3965(a,1),8154(a,1,2,2))]. given #7325 (H,wt=19): 8197 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7360(a,2),6279(a,1))]. given #7326 (H,wt=19): 8206 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7657,a,6494,a),flip(a)]. given #7327 (H,wt=19): 8223 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(235(a,1),8221(a,1,1))]. given #7328 (H,wt=15): 8357 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(240,a,7746,a(flip),b,8223,a)]. given #7329 (H,wt=15): 8359 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7043(a,1),8357(a,1,1,1)),flip(a)]. given #7330 (H,wt=15): 8362 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(240,a,6941,a(flip),b,8359,a(flip)),flip(a)]. given #7331 (H,wt=15): 8364 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4774(a,1),8362(a,1,1,2)),flip(a)]. given #7332 (H,wt=15): 8366 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4906(a,1),8362(a,1,1,2)),flip(a)]. given #7333 (H,wt=15): 8368 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5178(a,1),8362(a,1,1,2)),flip(a)]. given #7334 (H,wt=15): 8370 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7611(a,1),8362(a,1,1,2))]. given #7335 (H,wt=17): 8367 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5057(a,1),8362(a,1,1,2)),flip(a)]. given #7336 (H,wt=17): 8372 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5253(a,1),8368(a,1,1,2))]. given #7337 (H,wt=19): 8243 K((x * y) / x,1 / ((x * z) / x)) = K(y,1 / z). [hyper(5620,a,8242,a)]. given #7338 (H,wt=19): 8244 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5178(a,1),6863(a,1,2,2)),flip(a)]. given #7339 (H,wt=19): 8250 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),6973(a,2,2))]. given #7340 (H,wt=19): 8257 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7235(a,2,2))]. given #7341 (H,wt=19): 8258 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(240,a,7349,a(flip),b,7263,a)]. given #7342 (H,wt=19): 8263 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(240,a,6671,a(flip),b,8262,a(flip)),flip(a)]. given #7343 (H,wt=19): 8266 (x * T(y,K(x,z))) \ (x * (K(x,z) * y)) = K(x,z). [para(7560(a,1),7347(a,1,1,2))]. given #7344 (H,wt=17): 8385 (x * T(y,K(x,z))) \ (T(x,z) * y) = K(x,z). [para(4779(a,1),8266(a,1,2))]. given #7345 (H,wt=19): 8267 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(81,a,7370,a)]. given #7346 (H,wt=19): 8270 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(240,a,4554,a(flip),b,7380,a(flip))]. given #7347 (H,wt=17): 8386 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(17,a,6615,a(flip),b,8270,a)]. given #7348 (H,wt=19): 8272 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7401(a,1,1,2)),flip(a)]. given #7349 (H,wt=19): 8283 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7090(a,1),7476(a,1,1)),flip(a)]. given #7350 (H,wt=19): 8285 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(4926,a,8284,a),flip(a)]. given #7351 (H,wt=17): 8389 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(17,a,4800,a(flip),b,8285,a)]. given #7352 (H,wt=17): 8390 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(240,a,8327,a(flip),b,8389,a(flip))]. given #7353 (H,wt=14): 8393 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5974(a,1),8390(a,1,2)),flip(a)]. given #7354 (H,wt=17): 8391 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(240,a,8317,a,b,8390,a)]. given #7355 (H,wt=17): 8392 L(K(x,K(y,z)),u,w) = K(y,L(K(x,z),u,w)). [hyper(240,a,8316,a,b,8390,a),flip(a)]. given #7356 (H,wt=19): 8293 T(x,y) * T(y,T(z,x)) = x * T(y * K(x,y),z). [para(8292(a,1),5082(a,1,2))]. given #7357 (H,wt=19): 8298 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(240,a,5582,a,b,7722,a(flip)),flip(a)]. given #7358 (H,wt=17): 8397 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4858,a,8298,a)]. given #7359 (H,wt=19): 8303 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5689(a,1),8302(a,1,2))]. given #7360 (H,wt=15): 8398 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(240,a,8300,a(flip),b,8303,a)]. given #7361 (H,wt=15): 8400 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7094(a,1),8398(a,1,2))]. given #7362 (H,wt=19): 8311 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7905(a,2,2))]. given #7363 (H,wt=19): 8323 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,7942,a,b,8317,a),flip(a)]. given #7364 (H,wt=19): 8332 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7101(a,1),8331(a,1,2,1)),flip(a)]. given #7365 (H,wt=19): 8338 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(8105(a,1),3952(a,1,2)),flip(a)]. given #7366 (H,wt=19): 8360 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7600(a,1),8357(a,1,1,1,2))]. given #7367 (H,wt=19): 8361 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7121(a,1),8357(a,1,1,1)),flip(a)]. given #7368 (H,wt=19): 8365 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4900(a,1),8362(a,1,1,2)),flip(a)]. given #7369 (H,wt=19): 8369 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7600(a,1),8362(a,1,1,2,1))]. given #7370 (H,wt=19): 8374 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7121(a,1),8370(a,1,1,2)),flip(a)]. given #7371 (H,wt=19): 8379 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5178(a,1),8244(a,2,2))]. given #7372 (H,wt=19): 8382 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(6964(a,2),8250(a,1,1))]. given #7373 (H,wt=19): 8383 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8257(a,1,2,1,2)),flip(a)]. given #7374 (H,wt=19): 8394 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6654(a,2),8390(a,1,2))]. given #7375 (H,wt=19): 8395 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6659(a,1),8391(a,1,2)),flip(a)]. given #7376 (H,wt=19): 8396 L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)). [para(8392(a,2),4809(a,2,1)),flip(a)]. given #7377 (H,wt=19): 8403 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(240,a,6949,a,b,8332,a(flip)),flip(a)]. given #7378 (H,wt=19): 8407 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4774(a,1),8369(a,1,1,2)),flip(a)]. given #7379 (H,wt=17): 8414 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(240,a,8122,a(flip),b,8407,a)]. given #7380 (H,wt=19): 8409 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5191,a,8379,a)]. given #7381 (H,wt=19): 8410 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8382(a,1,2)),flip(a)]. given #7382 (H,wt=16): 8416 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(240,a,341,a(flip),b,8410,a)]. given #7383 (H,wt=16): 8417 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(240,a,6964,a(flip),b,8416,a)]. given #7384 (H,wt=19): 8412 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(240,a,8321,a,b,8395,a(flip)),flip(a)]. given #7385 (H,wt=19): 8413 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(8315(a,1),8396(a,1,1))]. given #7386 (H,wt=17): 8418 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [hyper(7496,a,8413,a),flip(a)]. given #7387 (H,wt=20): 6867 K(x,y) * z != K(x,u) * y | K(x,u) * T(y,x) = z. [para(6865(a,1),19(a,1)),flip(a)]. given #7388 (H,wt=20): 6880 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5244(a,1),6875(a,1,1)),flip(a)]. given #7389 (H,wt=18): 8421 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(6970(a,1),6880(a,1,2))]. given #7390 (H,wt=15): 8422 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(240,a,5244,a(flip),b,8421,a(flip))]. given #7391 (H,wt=17): 8423 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8422(a,1),177(a,1,1,2))]. given #7392 (H,wt=16): 8424 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8198(a,1),8423(a,1,1))]. given #7393 (H,wt=20): 6992 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(6964(a,2),408(a,1,1,2))]. given #7394 (H,wt=20): 6993 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(6964(a,2),544(a,1,2,2))]. given #7395 (H,wt=20): 7007 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(6966(a,1),6670(a,1,1)),flip(a)]. given #7396 (H,wt=20): 7021 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(6981(a,1),6351(a,1,1)),flip(a)]. given #7397 (H,wt=20): 7032 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(6988(a,1),517(a,1))]. given #7398 (H,wt=20): 7063 K(x,y) * (z * y) != y * u | T(K(x,y) * z,y) = u. [para(6959(a,1),183(a,2)),flip(a)]. given #7399 (H,wt=20): 7115 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7090(a,1),119(a,2,1))]. given #7400 (H,wt=20): 7124 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7094(a,1),238(a,1,1))]. given #7401 (H,wt=20): 7174 (x * y) / (K(z,T(x,u)) * y) != w | T(x,T(z,u)) = w. [para(7142(a,1),5162(a,1,2,1))]. given #7402 (H,wt=20): 7183 (x / T(y,z)) * y != u * w | u \ (x * K(z,y)) = w. [para(7103(a,1),522(a,1))]. given #7403 (H,wt=20): 7204 x / (K(y,z) \ 1) != K(y,z) * u | T(x,K(y,z)) = u. [para(7128(a,2),183(a,2)),flip(a)]. given #7404 (H,wt=20): 7211 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7149(a,1),6261(a,1,1)),flip(a)]. given #7405 (H,wt=20): 7221 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7162(a,1),4810(a,1,1))]. given #7406 (H,wt=20): 7270 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7265(a,1),6261(a,1,1))]. given #7407 (H,wt=20): 7280 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7185(a,1),3960(a,1,2))]. given #7408 (H,wt=16): 8429 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7280(a,1),669(a,1))]. given #7409 (H,wt=20): 7298 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(3884(a,1),6963(a,1,2))]. given #7410 (H,wt=18): 8430 K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. [para(8029(a,1),7298(a,1))]. given #7411 (H,wt=20): 7304 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7302(a,1,1))]. given #7412 (H,wt=20): 7306 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6525(a,2),7302(a,1))]. given #7413 (H,wt=20): 7308 R(x,y,z) * K(u,x) != w | K(u,x) * R(x,y,z) = w. [para(616(a,1),6989(a,1,2,2))]. given #7414 (H,wt=20): 7316 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(143(a,1),7230(a,1,1))]. given #7415 (H,wt=15): 8431 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(7316,a,6988,a)]. given #7416 (H,wt=20): 7320 K(x * y,T(z,y \ 1)) != u | K(x * y,T(z,x)) = u. [para(6091(a,1),7303(a,1,2))]. given #7417 (H,wt=20): 7325 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(6885(a,2),20(a,1))]. given #7418 (H,wt=20): 7419 x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. [para(7181(a,1),20(a,1)),flip(a)]. given #7419 (H,wt=20): 7444 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) != u | K(z,x) = u. [para(7351(a,1),7112(a,1,1))]. given #7420 (H,wt=20): 7481 (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. [para(7451(a,1),7230(a,1,2))]. given #7421 (H,wt=20): 7497 x * (K(y,K(x,z)) * u) != w | T(x,K(y,z)) * u = w. [para(7487(a,1),5098(a,1,2,1))]. given #7422 (H,wt=20): 7543 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7506(a,1),5084(a,1,1))]. given #7423 (H,wt=20): 7548 (x / y) * K(y,K(z,u)) != w | x / T(y,K(z,u)) = w. [para(7506(a,1),7230(a,1,2))]. given #7424 (H,wt=20): 7647 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(7590(a,1),381(a,1,1))]. given #7425 (H,wt=20): 7676 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(800(a,1),7610(a,1,2)),flip(a)]. given #7426 (H,wt=20): 7773 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7162(a,2),7545(a,1,2))]. given #7427 (H,wt=20): 7801 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7160(a,2),7780(a,1))]. given #7428 (H,wt=20): 7804 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(40(a,2),7782(a,1,2))]. given #7429 (H,wt=20): 7805 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7782(a,1,2))]. given #7430 (H,wt=20): 7816 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7813(a,1),7629(a,1,1,2)),flip(a)]. given #7431 (H,wt=18): 8432 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(240,a,7629,a(flip),b,7816,a)]. given #7432 (H,wt=15): 8433 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(324(a,1),8432(a,1,2,2,1,1))]. given #7433 (H,wt=15): 8436 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5178(a,1),8433(a,1,2,2)),flip(a)]. given #7434 (H,wt=15): 8437 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7455(a,1),8433(a,1,2,2))]. given #7435 (H,wt=15): 8438 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7641(a,1),8433(a,1,2,2)),flip(a)]. given #7436 (H,wt=15): 8439 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(240,a,6964,a(flip),b,8436,a)]. given #7437 (H,wt=15): 8440 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(8201,a,8437,a)]. given #7438 (H,wt=15): 8442 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(8201,a,8439,a)]. given #7439 (H,wt=15): 8443 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7640(a,1),8442(a,1,2))]. given #7440 (H,wt=17): 8435 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5078(a,1),8433(a,1,2,2))]. given #7441 (H,wt=17): 8444 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(7103(a,1),8443(a,1,2)),flip(a)]. given #7442 (H,wt=15): 8445 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(240,a,7436,a(flip),b,8444,a)]. given #7443 (H,wt=17): 8446 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(8445(a,1),5672(a,1,2)),flip(a)]. given #7444 (H,wt=15): 8447 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(240,a,4980,a(flip),b,8446,a)]. given #7445 (H,wt=18): 8441 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5644(a,1),8438(a,1,2,2,2))]. given #7446 (H,wt=19): 8449 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(106(a,1),8441(a,1,2,2))]. given #7447 (H,wt=19): 8450 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(98(a,1),8449(a,1,2,2,2))]. given #7448 (H,wt=20): 7927 K(x,y / R(x,z,u)) != w | K(x,R(x,z,u) \ y) = w. [para(7615(a,1),7779(a,1))]. given #7449 (H,wt=20): 8037 L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). [para(8030(a,1),509(a,1,1))]. given #7450 (H,wt=20): 8049 K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. [para(6979(a,1),7778(a,1))]. given #7451 (H,wt=15): 8452 K((x * y) / z,y) = K((z / x) \ y,y). [hyper(8049,a,8414,a)]. given #7452 (H,wt=20): 8050 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(135(a,1),7783(a,1,2))]. given #7453 (H,wt=20): 8058 K(x \ y,T(T(z,x),u)) != w | K(y / x,T(z,u)) = w. [para(38(a,1),7797(a,1,2))]. given #7454 (H,wt=20): 8059 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(273(a,1),7797(a,1,2))]. given #7455 (H,wt=20): 8089 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4842(a,2),8064(a,1,1))]. given #7456 (H,wt=20): 8092 K(x * K(y,T(x,z)),u) != w | K(x,T(u,T(y,z))) = w. [para(7142(a,1),8087(a,1,1,2))]. given #7457 (H,wt=20): 8099 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8096(a,1),8084(a,1,2))]. given #7458 (H,wt=20): 8107 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7438(a,1),5806(a,1,1,1))]. given #7459 (H,wt=20): 8123 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(7655(a,2),6463(a,1))]. given #7460 (H,wt=20): 8178 K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. [para(8169(a,1),5696(a,1))]. given #7461 (H,wt=20): 8181 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4815(a,1),7091(a,1,1))]. given #7462 (H,wt=20): 8196 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(8195(a,1),241(a,1,2))]. given #7463 (H,wt=12): 8454 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(8196,a,4246,a)]. given #7464 (H,wt=13): 8455 K(x,y) != z | K(R(x,u,x),y) = z. [para(8454(a,1),7373(a,1,1))]. given #7465 (H,wt=20): 8224 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7861(a,2),7772(a,1))]. given #7466 (H,wt=20): 8227 T(T(x,y) \ z,K(x,y)) != u | (x \ z) * K(y,x) = u. [para(5078(a,1),7881(a,1,1))]. given #7467 (H,wt=15): 8456 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(8227,a,7642,a),flip(a)]. given #7468 (H,wt=20): 8233 K(x \ y,T(x,z)) != u | K(T(x,w) \ y,T(x,z)) = u. [para(5057(a,1),8069(a,1,1))]. given #7469 (H,wt=20): 8234 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(8031(a,2),8085(a,1))]. given #7470 (H,wt=20): 8279 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7433(a,1),6371(a,1,2))]. given #7471 (H,wt=20): 8324 K(x,K(y,L(z,u,w))) != v5 | K(x,K(L(y,u,w),z)) = v5. [para(8317(a,1),7545(a,1))]. given #7472 (H,wt=20): 8326 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8320(a,2),7489(a,1))]. given #7473 (H,wt=20): 8328 K(L(K(x,y),z,u),w) != v5 | K(w,K(y,L(x,z,u))) = v5. [para(8322(a,2),7489(a,1))]. given #7474 (H,wt=20): 8329 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8327(a,2),7489(a,1))]. given #7475 (H,wt=20): 8334 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8041(a,1),4949(a,1,2))]. given #7476 (H,wt=20): 8337 K(x,T(x \ y,z \ y)) != u | K(x,T(x \ y,z)) = u. [para(8093(a,2),8044(a,1))]. given #7477 (H,wt=20): 8411 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5027,a,8383,a)]. given #7478 (H,wt=20): 8419 T(x,L(K(y,z),u,w)) != v5 | T(x,K(y,L(z,u,w))) = v5. [para(8413(a,1),7496(a,1))]. given #7479 (H,wt=20): 8459 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7507(a,1),8326(a,1))]. given #7480 (H,wt=20): 8460 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8314(a,2),8326(a,1))]. given #7481 (H,wt=20): 8461 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8315(a,2),8326(a,1))]. given #7482 (H,wt=20): 8462 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8390(a,2),8326(a,1))]. given #7483 (H,wt=20): 8463 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8282(a,2),8329(a,1))]. given #7484 (H,wt=20): 8466 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7375,a,8411,a)]. given #7485 (H,wt=21): 6871 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(240,a,5532,a(flip),b,6866,a)]. given #7486 (H,wt=21): 6873 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6866(a,2,2))]. given #7487 (H,wt=21): 6878 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(240,a,4806,a,b,6872,a(flip)),flip(a)]. given #7488 (H,wt=21): 6920 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6915(a,1),446(a,1,2,1))]. given #7489 (H,wt=13): 8468 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4689,a,6920,a)]. given #7490 (H,wt=13): 8472 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(240,a,6354,a(flip),b,8468,a(flip)),flip(a)]. given #7491 (H,wt=21): 7081 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6470(a,1),7009(a,1,1)),flip(a)]. given #7492 (H,wt=19): 8475 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(7081(a,1),7266(a,1,2))]. given #7493 (H,wt=21): 7086 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5678(a,2),7037(a,2,2))]. given #7494 (H,wt=19): 8477 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(240,a,4800,a,b,7086,a)]. given #7495 (H,wt=15): 8479 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [hyper(6912,a,8477,a),flip(a)]. given #7496 (H,wt=18): 8480 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8477(a,1),6912(a,1))]. given #7497 (H,wt=19): 8478 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(7578,a,8477,a)]. given #7498 (H,wt=21): 7131 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(240,a,6646,a(flip),b,7098,a)]. given #7499 (H,wt=17): 8482 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5644(a,1),7131(a,1,1,2))]. given #7500 (H,wt=17): 8483 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8482(a,1),62(a,1,2))]. given #7501 (H,wt=18): 8486 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(106(a,1),8482(a,1,1))]. given #7502 (H,wt=15): 8489 (x * (y * K(z,y))) \ (x * y) = K(y,z). [hyper(240,a,5974,a(flip),b,8486,a)]. given #7503 (H,wt=18): 8488 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(240,a,142,a(flip),b,8483,a(flip))]. given #7504 (H,wt=18): 8490 (x * (y * K(z,y))) \ (x * y) != u | K(y,z) = u. [para(8486(a,2),5993(a,1))]. given #7505 (H,wt=20): 8484 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8482(a,1),88(a,1,2)),flip(b)]. given #7506 (H,wt=20): 8485 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(8482(a,1),298(a,1,2)),flip(b)]. given #7507 (H,wt=20): 8487 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(435(a,1),8482(a,1,1))]. given #7508 (H,wt=21): 7135 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(6011(a,1),7098(a,1,1))]. given #7509 (H,wt=19): 8496 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(6872(a,1),7135(a,1,1,2)),flip(a)]. given #7510 (H,wt=15): 8497 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(240,a,7134,a(flip),b,8496,a)]. given #7511 (H,wt=15): 8499 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(6988(a,1),8497(a,1,2,1))]. given #7512 (H,wt=13): 8503 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(6171,a,8499,a)]. given #7513 (H,wt=13): 8504 K(x,y \ K(x,z)) = K(x,y \ 1). [hyper(6139,a,8499,a),flip(a)]. given #7514 (H,wt=15): 8500 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7043(a,1),8497(a,1,2,1)),flip(a)]. given #7515 (H,wt=15): 8501 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(7090(a,1),8497(a,1,2,1)),flip(a)]. given #7516 (H,wt=15): 8508 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(240,a,6960,a(flip),b,8500,a(flip)),flip(a)]. given #7517 (H,wt=13): 8512 K(x,y \ T(x,z)) = K(x,y \ x). [para(4809(a,2),8508(a,1,2,2))]. given #7518 (H,wt=15): 8513 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4774(a,1),8508(a,1,2,2)),flip(a)]. given #7519 (H,wt=15): 8515 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4906(a,1),8508(a,1,2,2)),flip(a)]. given #7520 (H,wt=15): 8519 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7306,a,8512,a),flip(a)]. given #7521 (H,wt=15): 8521 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(240,a,7348,a,b,8513,a),flip(a)]. given #7522 (H,wt=15): 8525 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(240,a,6831,a,b,8521,a(flip)),flip(a)]. given #7523 (H,wt=15): 8526 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8521(a,1,2)),flip(a)]. given #7524 (H,wt=15): 8529 K(x,(y * x) \ (z * x)) = K(x,y \ z). [para(15(a,1),8525(a,1,2,1)),flip(a)]. given #7525 (H,wt=15): 8532 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(240,a,8515,a(flip),b,8529,a(flip)),flip(a)]. given #7526 (H,wt=17): 8498 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8497(a,1),4800(a,2,2))]. given #7527 (H,wt=15): 8536 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(240,a,4800,a,b,8498,a)]. given #7528 (H,wt=15): 8538 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7043(a,1),8536(a,1,2,1)),flip(a)]. given #7529 (H,wt=15): 8540 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(240,a,7313,a(flip),b,8538,a(flip))]. given #7530 (H,wt=13): 8542 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4023(a,1),8540(a,1,2,2)),flip(a)]. given #7531 (H,wt=13): 8543 T(x,y \ T(x,z)) = T(x,y \ x). [para(4769(a,1),8540(a,1,2,2)),flip(a)]. given #7532 (H,wt=15): 8544 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4774(a,1),8540(a,1,2,2))]. given #7533 (H,wt=15): 8545 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4905(a,1),8540(a,1,2,2))]. given #7534 (H,wt=15): 8548 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(240,a,7390,a,b,8544,a),flip(a)]. given #7535 (H,wt=15): 8549 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(240,a,7369,a,b,8544,a),flip(a)]. given #7536 (H,wt=17): 8506 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(8503(a,1),4976(a,1,2))]. given #7537 (H,wt=17): 8516 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5057(a,1),8508(a,1,2,2)),flip(a)]. given #7538 (H,wt=17): 8522 x * K(x,y \ (x * z)) = T(x,y \ (z * x)). [para(8513(a,1),4800(a,2,2)),flip(a)]. given #7539 (H,wt=17): 8523 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(240,a,7169,a(flip),b,8519,a)]. given #7540 (H,wt=17): 8553 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8549(a,2),7403(a,1,2))]. given #7541 (H,wt=17): 8555 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(8506(a,1),3467(a,1,2))]. given #7542 (H,wt=17): 8556 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(240,a,8263,a,b,8516,a(flip)),flip(a)]. given #7543 (H,wt=18): 8509 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5644(a,1),8501(a,1,2,1,2))]. given #7544 (H,wt=18): 8520 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8512(a,1),7306(a,1))]. given #7545 (H,wt=18): 8533 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(108(a,2),8532(a,1,2))]. given #7546 (H,wt=19): 8502 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(7092(a,1),8497(a,1,2,1))]. given #7547 (H,wt=19): 8510 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7163(a,1),8501(a,1,2,1,2))]. given #7548 (H,wt=19): 8514 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4869(a,1),8508(a,1,2,2)),flip(a)]. given #7549 (H,wt=19): 8518 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8508(a,1),6964(a,2,1))]. given #7550 (H,wt=19): 8539 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7121(a,1),8536(a,1,2,1)),flip(a)]. given #7551 (H,wt=19): 8546 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5325(a,1),8540(a,1,2,2))]. given #7552 (H,wt=19): 8562 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(106(a,1),8509(a,1,2,1))]. given #7553 (H,wt=19): 8566 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(240,a,8206,a(flip),b,8514,a(flip))]. given #7554 (H,wt=19): 8567 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(240,a,6964,a,b,8518,a)]. given #7555 (H,wt=17): 8570 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4809(a,2),8567(a,1,2,1,2))]. given #7556 (H,wt=19): 8569 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7099(a,1),8562(a,1,2,1,2))]. given #7557 (H,wt=19): 8571 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [para(4774(a,1),8567(a,1,2,1,2)),flip(a)]. given #7558 (H,wt=20): 8534 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(189(a,1),8532(a,1,2)),flip(a)]. given #7559 (H,wt=18): 8573 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(240,a,4958,a(flip),b,8534,a)]. given #7560 (H,wt=20): 8550 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8545(a,2),4881(a,1))]. given #7561 (H,wt=20): 8559 K(x \ y,T(x,y \ z)) != u | K(x \ y,T(x,z)) = u. [para(8553(a,1),7303(a,1))]. given #7562 (H,wt=21): 7190 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(73,a,7104,a(flip),b,5382,a(flip)),flip(a)]. given #7563 (H,wt=21): 7208 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(791(a,1),7144(a,1,1))]. given #7564 (H,wt=12): 8577 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(74,a,7208,a,b,8169,a),flip(a)]. given #7565 (H,wt=19): 8576 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(240,a,6845,a(flip),b,7208,a)]. given #7566 (H,wt=21): 7222 (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). [para(7162(a,1),5929(a,1,2))]. given #7567 (H,wt=21): 7238 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7213(a,1),6354(a,1,1))]. given #7568 (H,wt=19): 8579 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(240,a,6354,a(flip),b,7238,a(flip))]. given #7569 (H,wt=21): 7251 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6277(a,1),7122(a,1)),flip(a)]. given #7570 (H,wt=21): 7277 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(73,a,106,a(flip),b,7185,a)]. given #7571 (H,wt=21): 7294 T(x,y) * T(T(x,y) \ z,x) = z * K(z / T(x,u),x). [hyper(240,a,6757,a,b,7284,a),flip(a)]. given #7572 (H,wt=21): 7309 K(x,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. [para(360(a,1),7001(a,1,2,1))]. given #7573 (H,wt=21): 7339 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7329(a,1),478(a,1,1,1)),flip(a)]. given #7574 (H,wt=13): 8583 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4679,a,7339,a)]. given #7575 (H,wt=13): 8586 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(6279,a,8583,a)]. given #7576 (H,wt=21): 7396 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7056(a,1),7003(a,1,2,1))]. given #7577 (H,wt=21): 7412 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(123(a,1),7160(a,1,1,1))]. given #7578 (H,wt=21): 7413 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(135(a,1),7161(a,2,2))]. given #7579 (H,wt=21): 7446 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(6906(a,2),7362(a,1,1))]. given #7580 (H,wt=21): 7467 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(240,a,5637,a(flip),b,7451,a)]. given #7581 (H,wt=17): 8587 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5637(a,1),7467(a,1,1)),flip(a)]. given #7582 (H,wt=21): 7468 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(240,a,6424,a,b,7451,a(flip)),flip(a)]. given #7583 (H,wt=21): 7510 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5637(a,1),7490(a,1,1)),flip(a)]. given #7584 (H,wt=17): 8589 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5637(a,1),7510(a,1,2)),flip(a)]. given #7585 (H,wt=17): 8590 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(240,a,8587,a,b,8589,a(flip)),flip(a)]. given #7586 (H,wt=17): 8591 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7487(a,1),8590(a,1,1))]. given #7587 (H,wt=19): 8592 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8591(a,2),4800(a,2,2)),flip(a)]. given #7588 (H,wt=21): 7521 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7491(a,2),6010(a,2,2))]. given #7589 (H,wt=21): 7522 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7491(a,2),6052(a,1,2,2))]. given #7590 (H,wt=21): 7549 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [para(7506(a,1),7187(a,1,2,2))]. given #7591 (H,wt=21): 7637 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7600(a,1),6273(a,1,1))]. given #7592 (H,wt=17): 8594 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(240,a,7602,a(flip),b,7637,a)]. given #7593 (H,wt=15): 8596 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(122(a,1),8594(a,1,2))]. given #7594 (H,wt=13): 8599 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(240,a,6659,a(flip),b,8596,a(flip))]. given #7595 (H,wt=19): 8597 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4758(a,2),8594(a,1,2)),flip(a)]. given #7596 (H,wt=21): 7638 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7600(a,1),6459(a,1,1))]. given #7597 (H,wt=20): 8601 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7638(a,2),7805(a,1))]. given #7598 (H,wt=18): 8602 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(121(a,1),8601(a,1,2,1))]. given #7599 (H,wt=21): 7639 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7600(a,1),6659(a,1,1))]. given #7600 (H,wt=17): 8603 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(240,a,7621,a(flip),b,7639,a)]. given #7601 (H,wt=15): 8606 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(122(a,1),8603(a,1,2))]. given #7602 (H,wt=15): 8608 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(179(a,1),8603(a,1,2)),flip(a)]. given #7603 (H,wt=12): 8613 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(240,a,329,a(flip),b,8608,a)]. given #7604 (H,wt=16): 8612 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8606(a,1),6279(a,1))]. given #7605 (H,wt=17): 8605 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(240,a,6662,a(flip),b,8603,a(flip)),flip(a)]. given #7606 (H,wt=17): 8607 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(181(a,1),8603(a,1,2))]. given #7607 (H,wt=17): 8615 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(6988(a,1),8605(a,1,2,2))]. given #7608 (H,wt=21): 7673 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(6813(a,1),7608(a,1,2))]. given #7609 (H,wt=17): 8617 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(240,a,8369,a(flip),b,7673,a(flip)),flip(a)]. given #7610 (H,wt=15): 8618 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7778,a,8617,a),flip(a)]. given #7611 (H,wt=19): 8620 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8618(a,1),7098(a,1,1,2)),flip(a)]. given #7612 (H,wt=15): 8621 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(240,a,7098,a(flip),b,8620,a)]. given #7613 (H,wt=15): 8622 K(x,(y * x) / z) = K(x,(x * y) / z). [para(4774(a,1),8621(a,1,2,1)),flip(a)]. given #7614 (H,wt=15): 8623 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(7641(a,1),8621(a,1,2,1)),flip(a)]. given #7615 (H,wt=15): 8624 K(x,(x * y) / z) = K(x,y / (z / x)). [hyper(8225,a,8622,a),flip(a)]. given #7616 (H,wt=15): 8627 K(x,(x * y) / (z * x)) = K(x,y / z). [para(15(a,1),8624(a,2,2,2))]. given #7617 (H,wt=15): 8628 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(14(a,1),8627(a,1,2,1)),flip(a)]. given #7618 (H,wt=18): 8625 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8622(a,2),6480(a,1))]. given #7619 (H,wt=15): 8630 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(8625,a,7920,a),flip(a)]. given #7620 (H,wt=15): 8635 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8630(a,1,2,2)),flip(a)]. given #7621 (H,wt=17): 8631 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(8625,a,7667,a(flip)),flip(a)]. given #7622 (H,wt=17): 8632 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8625,a,7615,a(flip)),flip(a)]. given #7623 (H,wt=17): 8637 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(240,a,8571,a(flip),b,8631,a(flip)),flip(a)]. given #7624 (H,wt=17): 8638 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(240,a,8630,a,b,8637,a)]. given #7625 (H,wt=19): 8629 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(8628(a,1),7098(a,1,1,2))]. given #7626 (H,wt=15): 8641 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7112,a,8629,a),flip(a)]. given #7627 (H,wt=19): 8634 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8630,a)]. given #7628 (H,wt=15): 8642 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5368,a,8634,a)]. given #7629 (H,wt=15): 8643 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(240,a,7919,a,b,8642,a(flip)),flip(a)]. given #7630 (H,wt=20): 8633 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7667(a,2),8625(a,1))]. given #7631 (H,wt=21): 7699 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7685(a,1),7606(a,1,2))]. given #7632 (H,wt=17): 8644 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(240,a,8360,a(flip),b,7699,a(flip)),flip(a)]. given #7633 (H,wt=15): 8645 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7797,a,8644,a),flip(a)]. given #7634 (H,wt=15): 8647 K(x / (y * z),z) = K(x / (z * y),z). [para(98(a,1),8645(a,1,1,2)),flip(a)]. given #7635 (H,wt=21): 7712 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7697(a,1),7622(a,1,1))]. given #7636 (H,wt=17): 8648 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(240,a,8510,a(flip),b,7712,a(flip)),flip(a)]. given #7637 (H,wt=15): 8649 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7806,a,8648,a),flip(a)]. given #7638 (H,wt=15): 8651 K(x,y / (z * x)) = K(x,y / (x * z)). [para(98(a,1),8649(a,1,2,2))]. given #7639 (H,wt=15): 8652 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7099(a,1),8649(a,1,2,2))]. given #7640 (H,wt=17): 8653 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(240,a,6611,a(flip),b,8651,a)]. given #7641 (H,wt=17): 8657 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8653(a,1,2,2,1)),flip(a)]. given #7642 (H,wt=18): 8655 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(119(a,2),8651(a,2,2)),flip(a)]. given #7643 (H,wt=18): 8658 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(240,a,4962,a(flip),b,8655,a(flip)),flip(a)]. given #7644 (H,wt=19): 8654 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(240,a,6572,a(flip),b,8651,a(flip)),flip(a)]. given #7645 (H,wt=19): 8656 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6355(a,1),8652(a,1,2,2))]. given #7646 (H,wt=19): 8660 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4774(a,1),8656(a,1,2,2,1))]. given #7647 (H,wt=19): 8661 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(4905(a,1),8656(a,1,2,2,1))]. given #7648 (H,wt=19): 8662 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(5178(a,1),8656(a,1,2,2,1)),flip(a)]. given #7649 (H,wt=19): 8663 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(240,a,8654,a(flip),b,8660,a(flip))]. given #7650 (H,wt=21): 7713 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(240,a,4964,a,b,7623,a(flip)),flip(a)]. given #7651 (H,wt=21): 7731 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7668(a,1),6391(a,1,2))]. given #7652 (H,wt=21): 7785 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5953(a,1),7725(a,1,2))]. given #7653 (H,wt=21): 7817 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7213(a,1),7453(a,1,1,2))]. given #7654 (H,wt=17): 8667 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7456,a,7817,a),flip(a)]. given #7655 (H,wt=17): 8668 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8667(a,1,2,2)),flip(a)]. given #7656 (H,wt=21): 7890 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7613(a,1),4756(a,2,2))]. given #7657 (H,wt=17): 8670 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7600(a,1),7890(a,1,1)),flip(a)]. given #7658 (H,wt=17): 8672 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(8670(a,1),5367(a,1,1))]. given #7659 (H,wt=21): 7895 K(x,y * T(K(z \ u,y),u)) = K(T(x,(z / u) \ 1),y). [para(7654(a,2),7630(a,1,2,2))]. given #7660 (H,wt=17): 8674 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(240,a,7720,a(flip),b,7895,a(flip))]. given #7661 (H,wt=21): 7912 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(7678(a,1),7512(a,1,2))]. given #7662 (H,wt=21): 7914 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(7110,a,7682,a)]. given #7663 (H,wt=21): 7980 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(240,a,5503,a(flip),b,7971,a(flip)),flip(a)]. given #7664 (H,wt=21): 7987 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1788(a,1),7896(a,1,1,2))]. given #7665 (H,wt=17): 8677 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(240,a,7896,a(flip),b,7987,a(flip))]. given #7666 (H,wt=21): 8075 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(124(a,1),7828(a,1,2,2)),flip(a)]. given #7667 (H,wt=21): 8103 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6939(a,1),7415(a,1,1,1)),flip(a)]. given #7668 (H,wt=21): 8110 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4956(a,1),7516(a,1,1,2))]. given #7669 (H,wt=19): 8678 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7561(a,1),8110(a,2,1))]. given #7670 (H,wt=21): 8112 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3976(a,1),7601(a,1,1,1)),flip(a)]. given #7671 (H,wt=19): 8679 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(240,a,8579,a(flip),b,8112,a)]. given #7672 (H,wt=21): 8116 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6027(a,1),7625(a,1,1))]. given #7673 (H,wt=21): 8121 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7636(a,1),7600(a,1,1))]. given #7674 (H,wt=19): 8681 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(240,a,7629,a(flip),b,8121,a)]. given #7675 (H,wt=21): 8134 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [hyper(7807,a,7607,a),flip(a)]. given #7676 (H,wt=21): 8138 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7840(a,1),7078(a,2,1))]. given #7677 (H,wt=21): 8140 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7876(a,1),7142(a,1,1)),flip(a)]. given #7678 (H,wt=21): 8142 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(6130(a,1),7906(a,1,2,1))]. given #7679 (H,wt=21): 8159 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(73,a,8158,a(flip),b,7006,a)]. given #7680 (H,wt=21): 8165 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7451(a,1),8120(a,2,1))]. given #7681 (H,wt=21): 8174 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8160(a,1),191(a,1,2))]. given #7682 (H,wt=21): 8246 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(8245(a,1),7600(a,1,1))]. given #7683 (H,wt=21): 8269 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(240,a,4555,a(flip),b,7380,a(flip))]. given #7684 (H,wt=21): 8271 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7391(a,1),5082(a,1,2))]. given #7685 (H,wt=21): 8277 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(240,a,7504,a,b,7429,a),flip(a)]. given #7686 (H,wt=21): 8288 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7714(a,1),4800(a,2,2))]. given #7687 (H,wt=21): 8290 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(240,a,5775,a,b,7716,a(flip)),flip(a)]. given #7688 (H,wt=21): 8297 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7721(a,1),4750(a,2,2))]. given #7689 (H,wt=19): 8689 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(240,a,4750,a,b,8297,a)]. given #7690 (H,wt=21): 8305 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(y,x)). [para(7842(a,1),5544(a,1,2))]. given #7691 (H,wt=21): 8308 x / T(K(y,z * x),x) = T(x,K(y,z)) * K(z * x,y). [hyper(240,a,6961,a,b,7870,a),flip(a)]. given #7692 (H,wt=21): 8330 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(240,a,5681,a(flip),b,7985,a(flip)),flip(a)]. given #7693 (H,wt=21): 8371 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(8364(a,1),7629(a,1,1,2))]. given #7694 (H,wt=19): 8694 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8087,a,8371,a),flip(a)]. given #7695 (H,wt=21): 8377 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(240,a,5077,a,b,8244,a),flip(a)]. given #7696 (H,wt=19): 8695 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4779(a,1),8377(a,1,2))]. given #7697 (H,wt=21): 8384 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),8258(a,1,1,1,1,2))]. given #7698 (H,wt=21): 8387 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8386(a,1),7098(a,1,1,2)),flip(a)]. given #7699 (H,wt=17): 8698 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(240,a,7098,a(flip),b,8387,a)]. given #7700 (H,wt=17): 8699 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8698(a,1,1,1)),flip(a)]. given #7701 (H,wt=21): 8401 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3974(a,1),8311(a,1,2,1)),flip(a)]. given #7702 (H,wt=21): 8469 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4774(a,1),6920(a,1,1)),flip(a)]. given #7703 (H,wt=21): 8471 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(240,a,6445,a(flip),b,8468,a(flip)),flip(a)]. given #7704 (H,wt=21): 8473 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8472(a,1),4809(a,2,1)),flip(a)]. given #7705 (H,wt=21): 8491 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8488(a,1),19(a,1)),flip(a)]. given #7706 (H,wt=21): 8492 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(8488(a,1),241(a,1,2)),flip(b)]. given #7707 (H,wt=13): 8706 K(x,y) != z | L(K(x,y),x,u) = z. [para(8489(a,1),8492(a,1))]. given #7708 (H,wt=21): 8517 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(4867(a,1),8508(a,1,2,2))]. given #7709 (H,wt=21): 8535 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(8532(a,1),6708(a,1))]. given #7710 (H,wt=21): 8558 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(240,a,7465,a,b,8553,a),flip(a)]. given #7711 (H,wt=21): 8572 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7173(a,1),8567(a,1,2,1,2))]. given #7712 (H,wt=19): 8709 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(240,a,8570,a(flip),b,8572,a)]. given #7713 (H,wt=21): 8574 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(8534(a,2),5025(a,1))]. given #7714 (H,wt=21): 8580 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(74,a,8579,a,b,7090,a),flip(a)]. given #7715 (H,wt=19): 8711 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5001,a,8580,a),flip(a)]. given #7716 (H,wt=21): 8581 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(240,a,40,a,b,7277,a)]. given #7717 (H,wt=21): 8588 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7451(a,1),7468(a,1,1))]. given #7718 (H,wt=19): 8713 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(240,a,7952,a(flip),b,8588,a)]. given #7719 (H,wt=17): 8715 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7952(a,1),8713(a,1,1))]. given #7720 (H,wt=17): 8716 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7953(a,1),8713(a,1,1))]. given #7721 (H,wt=17): 8717 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(240,a,8591,a(flip),b,8715,a(flip)),flip(a)]. given #7722 (H,wt=14): 8720 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3867(a,1),8717(a,1,2)),flip(a)]. given #7723 (H,wt=17): 8719 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(240,a,8590,a(flip),b,8716,a(flip)),flip(a)]. given #7724 (H,wt=21): 8600 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7600(a,1),8596(a,1,1))]. given #7725 (H,wt=20): 8722 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8600(a,2),7801(a,1))]. given #7726 (H,wt=18): 8723 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(121(a,1),8722(a,1,2,1))]. given #7727 (H,wt=21): 8611 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4779(a,1),8606(a,1,2))]. given #7728 (H,wt=17): 8724 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(240,a,8615,a(flip),b,8611,a)]. given #7729 (H,wt=21): 8616 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8607(a,1),8390(a,1,2)),flip(a)]. given #7730 (H,wt=21): 8626 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(8623(a,2),7967(a,2,2)),flip(a)]. given #7731 (H,wt=19): 8728 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(240,a,7967,a(flip),b,8626,a)]. given #7732 (H,wt=17): 8729 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(11(a,1),8728(a,1,2,2,1))]. given #7733 (H,wt=21): 8664 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8663(a,1),4800(a,2,2)),flip(a)]. given #7734 (H,wt=21): 8666 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4776(a,1),7713(a,1,1,1,2))]. given #7735 (H,wt=21): 8675 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(240,a,7491,a,b,7912,a)]. given #7736 (H,wt=21): 8686 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4541(a,2),8174(a,1,2))]. given #7737 (H,wt=21): 8691 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7210(a,1),8689(a,2,1,2))]. given #7738 (H,wt=21): 8692 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). [para(7560(a,1),8305(a,2,2))]. given #7739 (H,wt=21): 8693 x / K(y,T(z * x,x)) = T(x,K(y,z)) * K(z * x,y). [para(6964(a,2),8308(a,1,2))]. given #7740 (H,wt=21): 8701 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(8699(a,1),4836(a,2,2,2)),flip(a)]. given #7741 (H,wt=17): 8733 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4896,a,8701,a),flip(a)]. given #7742 (H,wt=17): 8734 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(240,a,7368,a,b,8733,a(flip)),flip(a)]. given #7743 (H,wt=21): 8702 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1726(a,2),8469(a,1,2))]. given #7744 (H,wt=21): 8703 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(240,a,7785,a(flip),b,8471,a)]. given #7745 (H,wt=21): 8704 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(240,a,42,a,b,8473,a)]. given #7746 (H,wt=21): 8731 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8666(a,1),16(a,1,1))]. given #7747 (H,wt=21): 8737 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8731(a,1),5184(a,1,2))]. given #7748 (H,wt=21): 8740 ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). [para(4776(a,2),8737(a,1,2,1,2))]. given #7749 (H,wt=22): 6890 x \ (y * T(x,z)) != K(x,z) * u | T(T(y,x),K(x,z)) = u. [para(6881(a,2),183(a,2)),flip(a)]. given #7750 (H,wt=22): 6905 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(399(a,1),6899(a,2,1))]. given #7751 (H,wt=19): 8743 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(780,a,6905,a),flip(a)]. given #7752 (H,wt=22): 6971 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(240,a,6691,a,b,6964,a),flip(a)]. given #7753 (H,wt=22): 6994 x * L(K(y,T(z,x)),u,w) != v5 | L(K(y,z),u,w) * x = v5. [para(6964(a,2),383(a,1,2,1))]. given #7754 (H,wt=22): 6995 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(6964(a,2),599(a,1,2,2))]. given #7755 (H,wt=22): 7111 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(7090(a,1),28(a,2,2,2))]. given #7756 (H,wt=17): 8746 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(240,a,8486,a(flip),b,7111,a)]. given #7757 (H,wt=22): 7137 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(6644(a,1),7098(a,1,1))]. given #7758 (H,wt=20): 8747 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(7137(a,1),8492(a,1))]. given #7759 (H,wt=22): 7177 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7143(a,1),5231(a,1,2))]. given #7760 (H,wt=18): 8748 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7918(a,1),7177(a,1,1)),flip(a)]. given #7761 (H,wt=13): 8749 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(240,a,5231,a(flip),b,8748,a)]. given #7762 (H,wt=22): 7271 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7265(a,1),6264(a,1,1))]. given #7763 (H,wt=22): 7334 K(x,y) * z != x * (u * K(x,y)) | T(x * u,K(x,y)) = z. [para(7328(a,1),183(a,2))]. given #7764 (H,wt=22): 7379 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(199(a,1),7349(a,1,2,1)),flip(a)]. given #7765 (H,wt=22): 7386 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7366(a,1),1179(a,1,1))]. given #7766 (H,wt=22): 7393 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2514(a,1),7390(a,1,2,1)),flip(a)]. given #7767 (H,wt=22): 7402 T(x,y) * T(z,x) != x * u | T(T(x,y) * (x \ z),x) = u. [para(7050(a,1),183(a,2)),flip(a)]. given #7768 (H,wt=22): 7414 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1735(a,1),7161(a,1,1)),flip(a)]. given #7769 (H,wt=22): 7477 (x * K(y,z)) * K(y,K(z,u)) != w | x * T(K(y,z),u) = w. [para(7451(a,1),5997(a,1,2))]. given #7770 (H,wt=22): 7544 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w * v5 | w \ u = v5. [para(7506(a,1),5203(a,1,1))]. given #7771 (H,wt=22): 7572 K(x,y) * T(T(z,K(y,x)),u) != w | T(z,u) * K(x,y) = w. [para(7560(a,1),382(a,1,2,1))]. given #7772 (H,wt=22): 7665 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(458(a,2),7606(a,1,1))]. given #7773 (H,wt=22): 7675 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7609(a,1,2,1)),flip(a)]. given #7774 (H,wt=22): 7702 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7686(a,1),6477(a,1,1)),flip(a)]. given #7775 (H,wt=20): 8755 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7745(a,1),7702(a,2,2))]. given #7776 (H,wt=17): 8756 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(240,a,6472,a(flip),b,8755,a)]. given #7777 (H,wt=22): 7811 K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. [para(5530(a,1),7790(a,1,1))]. given #7778 (H,wt=22): 7864 K(x,K(y,z)) * (K(x,K(y,z)) * (u * w)) != u * v5 | v5 = w. [para(7537(a,2),19(a,2)),flip(a)]. given #7779 (H,wt=22): 8055 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7618(a,1),7795(a,1))]. given #7780 (H,wt=22): 8057 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4532(a,1),7796(a,1,2))]. given #7781 (H,wt=22): 8074 K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. [para(124(a,1),7810(a,1,1,1))]. given #7782 (H,wt=22): 8114 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1582(a,1),7602(a,1,1))]. given #7783 (H,wt=22): 8115 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1582(a,1),7621(a,1,2))]. given #7784 (H,wt=22): 8185 (T(x,y) / z) \ (x / z) != u | K(y,(1 / z) \ (x / z)) = u. [para(925(a,1),7247(a,1,1))]. given #7785 (H,wt=22): 8187 T(x,K(y,z)) * K(z * x,y) != u | K(z * x,y) * x = u. [para(7867(a,1),7254(a,1,1))]. given #7786 (H,wt=22): 8193 T(K(x,R(y,z,u)),w) != v5 | R(T(K(x,y),w),y * z,u) = v5. [para(6459(a,1),8192(a,1,1))]. given #7787 (H,wt=22): 8202 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7528(a,2),7471(a,1,2))]. given #7788 (H,wt=22): 8240 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5687(a,2),8237(a,1))]. given #7789 (H,wt=22): 8251 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2710(a,1),7029(a,1,2,2))]. given #7790 (H,wt=22): 8268 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(7370(a,1),241(a,1,2)),flip(b)]. given #7791 (H,wt=22): 8281 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7463(a,2),8237(a,1))]. given #7792 (H,wt=19): 8762 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(8281,a,6862,a),flip(a)]. given #7793 (H,wt=22): 8304 K(x \ y,x) * z != u * K(x \ y,x) | T(u,K(x,y)) = z. [para(7842(a,1),19(a,1)),flip(a)]. given #7794 (H,wt=22): 8318 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8315(a,1),106(a,1,2))]. given #7795 (H,wt=22): 8325 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(235(a,1),8320(a,2,2,2))]. given #7796 (H,wt=22): 8375 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(185(a,1),8372(a,1,1)),flip(a)]. given #7797 (H,wt=22): 8405 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(240,a,5718,a(flip),b,8361,a)]. given #7798 (H,wt=22): 8425 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(4815(a,1),6993(a,1))]. given #7799 (H,wt=22): 8434 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4909(a,1),8432(a,1,2,2))]. given #7800 (H,wt=22): 8453 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,y \ x)) = w. [para(4735(a,2),8089(a,1,1,1))]. given #7801 (H,wt=22): 8457 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(73,a,8279,a(flip),b,4779,a),flip(a)]. given #7802 (H,wt=22): 8464 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(73,a,8334,a(flip),b,4779,a),flip(a)]. given #7803 (H,wt=22): 8505 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8499(a,1,2)),flip(a)]. given #7804 (H,wt=21): 8770 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(608(a,1),8505(a,1,2))]. given #7805 (H,wt=10): 8771 K(x,a(K(x,y),z,u)) = 1. [hyper(240,a,5673,a(flip),b,8770,a(flip))]. given #7806 (H,wt=10): 8773 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8771,a)]. given #7807 (H,wt=15): 8774 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,8773,a)]. given #7808 (H,wt=17): 8775 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8773(a,1),122(a,1,2))]. given #7809 (H,wt=21): 8776 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8773(a,1),7099(a,1,2,1)),flip(a)]. given #7810 (H,wt=21): 8777 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8774(a,1),7099(a,1,2,1)),flip(a)]. given #7811 (H,wt=22): 8575 K(x \ (y / z),T(x,z)) != u | K(x \ (y / z),T(x,y)) = u. [para(65(a,1),8559(a,1,2,2))]. given #7812 (H,wt=19): 8778 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [hyper(8575,a,xx),flip(a)]. given #7813 (H,wt=22): 8598 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(240,a,6672,a(flip),b,8596,a(flip))]. given #7814 (H,wt=22): 8609 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(240,a,6263,a(flip),b,8606,a(flip))]. given #7815 (H,wt=22): 8610 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8606(a,1),106(a,1,2))]. given #7816 (H,wt=22): 8680 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(119(a,1),8679(a,1,1)),flip(a)]. given #7817 (H,wt=22): 8682 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8121(a,2),8087(a,1))]. given #7818 (H,wt=22): 8696 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(8377(a,1),5180(a,1))]. given #7819 (H,wt=22): 8700 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6589,a,8699,a)]. given #7820 (H,wt=17): 8782 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(240,a,6263,a(flip),b,8700,a(flip)),flip(a)]. given #7821 (H,wt=22): 8718 x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8715(a,2),4803(a,1,2))]. given #7822 (H,wt=17): 8784 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8718,a,8592,a),flip(a)]. given #7823 (H,wt=20): 8785 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8592(a,1),8718(a,1))]. given #7824 (H,wt=22): 8745 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(6964(a,2),6971(a,1,1))]. given #7825 (H,wt=19): 8786 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(5993,a,8745,a)]. given #7826 (H,wt=17): 8788 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(240,a,8631,a(flip),b,8786,a)]. given #7827 (H,wt=17): 8790 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),8788(a,1,2,1,1)),flip(a)]. given #7828 (H,wt=19): 8791 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3974(a,1),8790(a,1,2,1)),flip(a)]. given #7829 (H,wt=20): 8789 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8786(a,2),8633(a,1))]. given #7830 (H,wt=22): 8752 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(240,a,4493,a(flip),b,7393,a)]. given #7831 (H,wt=22): 8753 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(240,a,7142,a(flip),b,7414,a)]. given #7832 (H,wt=16): 8794 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(240,a,8472,a(flip),b,8753,a(flip)),flip(a)]. given #7833 (H,wt=16): 8796 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8794(a,1,2,2)),flip(a)]. given #7834 (H,wt=16): 8797 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(240,a,8075,a(flip),b,8796,a(flip)),flip(a)]. given #7835 (H,wt=16): 8799 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8797(a,1,2,2)),flip(a)]. given #7836 (H,wt=17): 8800 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(148(a,1),8797(a,1,2,2)),flip(a)]. given #7837 (H,wt=20): 8802 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(240,a,7465,a,b,8799,a)]. given #7838 (H,wt=16): 8803 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7826,a,8802,a)]. given #7839 (H,wt=16): 8805 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8803(a,1,2,2)),flip(a)]. given #7840 (H,wt=16): 8807 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8001,a,8805,a)]. given #7841 (H,wt=16): 8808 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),8807(a,1,2,2)),flip(a)]. given #7842 (H,wt=16): 8809 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7999,a,8808,a),flip(a)]. given #7843 (H,wt=17): 8806 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(118(a,1),8803(a,1,2,2))]. given #7844 (H,wt=17): 8810 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7489,a,8806,a)]. given #7845 (H,wt=19): 8804 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8802(a,2),7820(a,1))]. given #7846 (H,wt=20): 8812 K(x,T(y,(x * z) * u)) != w | K(x,T(y,z * u)) = w. [para(118(a,1),8804(a,1,2,2))]. given #7847 (H,wt=21): 8811 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8806(a,1),7525(a,1,1))]. given #7848 (H,wt=17): 8813 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7853,a,8811,a),flip(a)]. given #7849 (H,wt=17): 8814 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8813(a,1,2,2,1)),flip(a)]. given #7850 (H,wt=17): 8815 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7307,a,8814,a),flip(a)]. given #7851 (H,wt=22): 8758 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7803,a,8114,a),flip(a)]. given #7852 (H,wt=16): 8816 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(240,a,8586,a(flip),b,8758,a(flip)),flip(a)]. given #7853 (H,wt=17): 8818 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(240,a,8434,a(flip),b,8816,a(flip)),flip(a)]. given #7854 (H,wt=15): 8820 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(240,a,6979,a(flip),b,8818,a)]. given #7855 (H,wt=17): 8821 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(240,a,8450,a(flip),b,8818,a(flip)),flip(a)]. given #7856 (H,wt=17): 8822 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),8818(a,1,2,2,2)),flip(a)]. given #7857 (H,wt=17): 8823 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8821(a,1,2,2,2)),flip(a)]. given #7858 (H,wt=22): 8760 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7487(a,1),8240(a,1,1))]. given #7859 (H,wt=22): 8761 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5298(a,1),8251(a,1,2))]. given #7860 (H,wt=20): 8825 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7616,a,8761,a)]. given #7861 (H,wt=22): 8763 K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. [para(6862(a,1),8281(a,1))]. given #7862 (H,wt=22): 8766 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(7495,a,8318,a),flip(a)]. given #7863 (H,wt=22): 8781 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7780,a,8680,a)]. given #7864 (H,wt=19): 8827 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(240,a,7021,a(flip),b,8781,a),flip(a)]. given #7865 (H,wt=15): 8828 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),8827(a,1,1,1)),flip(a)]. given #7866 (H,wt=15): 8829 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8828(a,1,1,2)),flip(a)]. given #7867 (H,wt=13): 8831 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(8602,a,8829,a),flip(a)]. given #7868 (H,wt=22): 8787 K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(8745(a,1),5993(a,1))]. given #7869 (H,wt=22): 8793 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),8752(a,1,2,2)),flip(a)]. given #7870 (H,wt=22): 8826 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(7507(a,1),8766(a,1,2,2))]. given #7871 (H,wt=23): 6864 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [hyper(544,a,6862,a),flip(a)]. given #7872 (H,wt=19): 8833 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(182,a,6938,a,b,6864,a)]. given #7873 (H,wt=19): 8834 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(5887,a,8833,a),flip(a)]. given #7874 (H,wt=21): 8835 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7494(a,1),8833(a,1,1)),flip(a)]. given #7875 (H,wt=21): 8836 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(240,a,7516,a,b,8834,a),flip(a)]. given #7876 (H,wt=15): 8838 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [hyper(18,a,7504,a,b,8836,a),flip(a)]. given #7877 (H,wt=15): 8839 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [para(7100(a,1),8838(a,1,2,2)),flip(a)]. given #7878 (H,wt=17): 8840 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4815(a,1),8839(a,1,2,2))]. given #7879 (H,wt=15): 8842 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(240,a,7727,a(flip),b,8840,a)]. given #7880 (H,wt=19): 8841 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5530(a,1),8839(a,1,2,2)),flip(a)]. given #7881 (H,wt=23): 6876 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6869(a,1),1545(a,1,1)),flip(a)]. given #7882 (H,wt=23): 6886 T(L(x / y,z,u) * K(y,w),y) = L(y \ x,z,u) * K(y,w). [para(195(a,1),6877(a,2,1))]. given #7883 (H,wt=23): 6968 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1299(a,1),6957(a,1,2,2))]. given #7884 (H,wt=23): 7034 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3056(a,1),6988(a,1,2,2))]. given #7885 (H,wt=21): 8844 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(240,a,7190,a(flip),b,7034,a(flip))]. given #7886 (H,wt=23): 7046 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(725(a,1),6929(a,1,2,2))]. given #7887 (H,wt=21): 8845 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(240,a,8139,a(flip),b,7046,a(flip)),flip(a)]. given #7888 (H,wt=19): 8846 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7773,a,8845,a),flip(a)]. given #7889 (H,wt=22): 8847 K(x,K(y,(z / x) \ u)) != w | K(x,K(y,z \ (u * x))) = w. [para(8845(a,1),7773(a,1))]. given #7890 (H,wt=23): 7126 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(7094(a,1),560(a,1,1))]. given #7891 (H,wt=23): 7158 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(240,a,5456,a,b,7142,a(flip)),flip(a)]. given #7892 (H,wt=23): 7246 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5448(a,1),7112(a,1,1))]. given #7893 (H,wt=23): 7264 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1363(a,1),7134(a,1,1))]. given #7894 (H,wt=21): 8851 (K(x \ 1,y) * z) \ (1 * z) = K(y,(x * z) \ (1 * z)). [para(4754(a,1),7264(a,1,1,1))]. given #7895 (H,wt=23): 7285 T(x,y) * T(y,T(z,T(x,y))) = K(y,z) * (x * ((x * y) / x)). [para(4120(a,1),7223(a,1,2)),flip(a)]. given #7896 (H,wt=21): 8853 K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,z)). [para(7827(a,1),7285(a,1,2)),flip(a)]. given #7897 (H,wt=21): 8854 K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). [hyper(240,a,8293,a(flip),b,8853,a)]. given #7898 (H,wt=23): 7332 T((x \ y) * z,K(x \ y,x)) = (y / x) * (z * K(x \ y,x)). [hyper(182,a,7328,a,b,5354,a)]. given #7899 (H,wt=23): 7411 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4777(a,1),7120(a,1,2,1))]. given #7900 (H,wt=19): 8856 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5000(a,1),7411(a,1,1,2))]. given #7901 (H,wt=17): 8857 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(5119(a,1),8856(a,2,2))]. given #7902 (H,wt=19): 8858 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5328(a,1),8856(a,2,2))]. given #7903 (H,wt=12): 8861 L(x \ 1,K(x,y),z) = x \ 1. [hyper(438,a,8858,a)]. given #7904 (H,wt=23): 7437 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6112,a,7268,a)]. given #7905 (H,wt=21): 8862 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(240,a,6111,a(flip),b,7437,a)]. given #7906 (H,wt=21): 8863 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(240,a,7272,a,b,8862,a)]. given #7907 (H,wt=23): 7478 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7451(a,1),6322(a,1,2))]. given #7908 (H,wt=23): 7523 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7491(a,2),6862(a,1,1))]. given #7909 (H,wt=23): 7666 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7606(a,1),5925(a,1,2)),flip(a)]. given #7910 (H,wt=21): 8866 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7606(a,1),7666(a,1,1)),flip(a)]. given #7911 (H,wt=20): 8867 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8866(a,1),542(a,1))]. given #7912 (H,wt=17): 8868 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8867,a,5761,a),flip(a)]. given #7913 (H,wt=17): 8869 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4914(a,1),8868(a,1,2))]. given #7914 (H,wt=21): 8870 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5487(a,1),8869(a,2,2))]. given #7915 (H,wt=23): 7690 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7685(a,1),192(a,1,2,1))]. given #7916 (H,wt=23): 7692 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7685(a,1),3926(a,1,2,1))]. given #7917 (H,wt=23): 7759 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6104(a,1),7737(a,1,1)),flip(a)]. given #7918 (H,wt=23): 7858 (x / y) * K(y,K(z,y \ x)) = (y \ x) * K(y,T(y \ x,z)). [para(7526(a,1),5380(a,1,2)),flip(a)]. given #7919 (H,wt=21): 8873 (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(y,z)). [para(7586(a,1),7858(a,1,2)),flip(a)]. given #7920 (H,wt=23): 7859 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7144(a,1),7526(a,1,2,2))]. given #7921 (H,wt=23): 7877 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). [para(5327(a,2),7565(a,1,1))]. given #7922 (H,wt=21): 8875 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(x,y)). [hyper(240,a,7845,a(flip),b,7877,a)]. given #7923 (H,wt=23): 7878 T((x / y) \ z,K(y,y \ x)) = ((y \ x) \ z) * K(y \ x,y). [para(5530(a,1),7565(a,1,1)),flip(a)]. given #7924 (H,wt=21): 8876 ((x \ y) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,y)). [hyper(7850,a,7878,a),flip(a)]. given #7925 (H,wt=23): 7883 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7568(a,1),191(a,1,2,1)),flip(a)]. given #7926 (H,wt=23): 7913 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7405(a,1),7680(a,1,1,2))]. given #7927 (H,wt=19): 8878 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(7911,a,7913,a),flip(a)]. given #7928 (H,wt=23): 7915 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7682(a,2),6459(a,1,2))]. given #7929 (H,wt=17): 8879 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8601,a,7915,a),flip(a)]. given #7930 (H,wt=15): 8881 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4759(a,1),8879(a,1,2,2)),flip(a)]. given #7931 (H,wt=15): 8883 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(240,a,6460,a,b,8881,a(flip)),flip(a)]. given #7932 (H,wt=17): 8882 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(6988(a,1),8879(a,1,2,2))]. given #7933 (H,wt=17): 8884 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),8883(a,1,2))]. given #7934 (H,wt=20): 8880 K(x,R(y,z * K(y,u),w)) != v5 | K(x,R(y,z,w)) = v5. [para(7915(a,1),8601(a,1))]. given #7935 (H,wt=21): 8885 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(5918(a,1),8883(a,1,2))]. given #7936 (H,wt=17): 8889 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(240,a,8879,a(flip),b,8885,a)]. given #7937 (H,wt=17): 8891 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(16(a,1),8889(a,1,2)),flip(a)]. given #7938 (H,wt=21): 8886 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(7179(a,1),8883(a,1,2))]. given #7939 (H,wt=17): 8892 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(240,a,8891,a(flip),b,8886,a)]. given #7940 (H,wt=17): 8894 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7100(a,1),8892(a,1,2)),flip(a)]. given #7941 (H,wt=21): 8887 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8882(a,1),7098(a,1,1,2)),flip(a)]. given #7942 (H,wt=17): 8895 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(240,a,7098,a(flip),b,8887,a)]. given #7943 (H,wt=17): 8898 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5178(a,1),8895(a,1,1,2)),flip(a)]. given #7944 (H,wt=19): 8897 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(240,a,6357,a(flip),b,8895,a(flip)),flip(a)]. given #7945 (H,wt=17): 8900 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(240,a,6352,a(flip),b,8897,a)]. given #7946 (H,wt=17): 8901 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4832(a,1),8900(a,1,2))]. given #7947 (H,wt=19): 8902 R(K(x,y),z \ K(z,x),u) = R(K(x,y),z \ 1,u). [para(5167(a,1),8900(a,1,2)),flip(a)]. given #7948 (H,wt=20): 8896 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8887(a,2),7112(a,1))]. given #7949 (H,wt=22): 8903 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8901(a,1),6438(a,1,1))]. given #7950 (H,wt=23): 7974 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5662(a,1),7962(a,1,2)),flip(a)]. given #7951 (H,wt=23): 8062 K(L((x \ y) / z,z,x),T(u,z)) != w | K((x * z) \ y,u) = w. [para(801(a,2),7802(a,1,1))]. given #7952 (H,wt=23): 8086 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(801(a,2),8064(a,1,1))]. given #7953 (H,wt=23): 8111 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7901(a,1),7587(a,1,1))]. given #7954 (H,wt=15): 8907 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(8304,a,8111,a(flip))]. given #7955 (H,wt=15): 8908 T(T(x,K(y,z)),y / z) = T(x,z \ y). [hyper(7571,a,8907,a)]. given #7956 (H,wt=15): 8910 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(5690(a,1),8908(a,1,1)),flip(a)]. given #7957 (H,wt=15): 8911 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7562(a,1),8908(a,1,1)),flip(a)]. given #7958 (H,wt=19): 8909 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [para(4529(a,1),8908(a,1,1))]. given #7959 (H,wt=21): 8906 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(240,a,5532,a(flip),b,8111,a)]. given #7960 (H,wt=21): 8913 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4040,a,8909,a)]. given #7961 (H,wt=22): 8915 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(8913(a,1),6150(a,1,2))]. given #7962 (H,wt=23): 8143 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(3893(a,1),7924(a,1,1,2)),flip(a)]. given #7963 (H,wt=23): 8144 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3891(a,1),7924(a,1,1,2)),flip(a)]. given #7964 (H,wt=23): 8252 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7106(a,1),4466(a,2,2))]. given #7965 (H,wt=23): 8275 R(x,(y \ z) \ 1,T(z / y,y)) = R(x,(z / y) \ 1,z / y). [para(124(a,1),8274(a,1,2,1))]. given #7966 (H,wt=21): 8918 R(x,(y / z) \ 1,y / z) = R(x,(z \ y) \ 1,z \ y). [para(124(a,1),8275(a,1,3)),flip(a)]. given #7967 (H,wt=23): 8276 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7427(a,1),6392(a,1,3,2))]. given #7968 (H,wt=23): 8278 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7429(a,2),7574(a,1,1))]. given #7969 (H,wt=23): 8280 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7585(a,1),7463(a,1,1))]. given #7970 (H,wt=23): 8306 K(x \ y,x) * (y * T(z,T(y,x))) = (z * y) * K(x \ y,x). [para(7569(a,1),7842(a,1,2))]. given #7971 (H,wt=23): 8307 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4192(a,1),7852(a,1,2,2,2))]. given #7972 (H,wt=19): 8921 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8202,a,8307,a),flip(a)]. given #7973 (H,wt=22): 8922 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8307(a,1),8202(a,1))]. given #7974 (H,wt=23): 8313 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6188(a,1),7963(a,2,2))]. given #7975 (H,wt=21): 8923 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(240,a,7936,a(flip),b,8313,a)]. given #7976 (H,wt=17): 8924 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),8923(a,1,2,2,1,2))]. given #7977 (H,wt=17): 8925 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(240,a,5298,a(flip),b,8924,a(flip)),flip(a)]. given #7978 (H,wt=23): 8373 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5506(a,1),8368(a,1,1,2))]. given #7979 (H,wt=23): 8378 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(240,a,7574,a,b,8244,a(flip)),flip(a)]. given #7980 (H,wt=22): 8926 K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. [para(8378(a,1),7879(a,1))]. given #7981 (H,wt=23): 8381 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7563(a,1),8244(a,2,2))]. given #7982 (H,wt=23): 8448 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(8447(a,1),122(a,1,2))]. given #7983 (H,wt=17): 8928 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7205,a,8448,a),flip(a)]. given #7984 (H,wt=17): 8929 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5059(a,2),8928(a,1,2))]. given #7985 (H,wt=23): 8481 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5605(a,1),8478(a,1,2))]. given #7986 (H,wt=21): 8930 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8076,a,8481,a)]. given #7987 (H,wt=21): 8931 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(124(a,1),8481(a,2,2,2))]. given #7988 (H,wt=19): 8932 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(8083,a,8931,a)]. given #7989 (H,wt=17): 8933 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(240,a,8930,a(flip),b,8932,a(flip)),flip(a)]. given #7990 (H,wt=17): 8934 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8480,a,8933,a)]. given #7991 (H,wt=17): 8935 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(62(a,1),8934(a,1,2,1,2)),flip(a)]. given #7992 (H,wt=17): 8936 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(240,a,8173,a(flip),b,8935,a(flip))]. given #7993 (H,wt=19): 8937 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(240,a,8142,a,b,8936,a(flip)),flip(a)]. given #7994 (H,wt=23): 8493 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). [para(864(a,1),7135(a,1,1,2))]. given #7995 (H,wt=23): 8507 (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8504(a,1),7520(a,1,1,2,2))]. given #7996 (H,wt=23): 8528 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8521(a,1),7465(a,1,2,2))]. given #7997 (H,wt=17): 8939 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8558,a,b,8528,a)]. given #7998 (H,wt=17): 8941 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8515(a,1),8939(a,1,2)),flip(a)]. given #7999 (H,wt=23): 8531 (x * (y * K(z \ u,y))) \ (x * y) = K(y,(z * y) \ (u * y)). [hyper(240,a,8489,a,b,8529,a),flip(a)]. given #8000 (H,wt=23): 8547 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8542(a,1),5563(a,1,2,1))]. given #8001 (H,wt=23): 8557 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(7056(a,1),8523(a,1,2,1))]. given #8002 (H,wt=23): 8582 T(x,y) * ((T(x,y) \ z) * x) = x * (z * K(z / T(x,u),x)). [para(7294(a,1),980(a,1,2)),flip(a)]. given #8003 (H,wt=23): 8593 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7521(a,1,2,1))]. given #8004 (H,wt=23): 8639 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8637(a,2),6988(a,2,1)),flip(a)]. given #8005 (H,wt=23): 8687 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3974(a,1),8288(a,1,2,1))]. given #8006 (H,wt=21): 8945 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8711(a,1),8687(a,2,2))]. given #8007 (H,wt=21): 8946 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(240,a,8288,a,b,8945,a),flip(a)]. given #8008 (H,wt=19): 8947 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(240,a,8311,a(flip),b,8946,a(flip))]. given #8009 (H,wt=19): 8948 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(240,a,8401,a,b,8947,a(flip)),flip(a)]. given #8010 (H,wt=19): 8949 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(123(a,1),8948(a,1,2,1))]. given #8011 (H,wt=23): 8697 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8384(a,1,1,1,1)),flip(a)]. given #8012 (H,wt=20): 8950 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(240,a,8466,a(flip),b,8697,a(flip))]. given #8013 (H,wt=23): 8705 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7099(a,1),8492(a,1,1,2))]. given #8014 (H,wt=23): 8708 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(7378(a,1),8535(a,1))]. given #8015 (H,wt=23): 8714 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8588(a,2),7531(a,1,1))]. given #8016 (H,wt=21): 8951 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7945(a,1),8714(a,1,1,1)),flip(a)]. given #8017 (H,wt=21): 8952 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8591(a,1),8951(a,2,1))]. given #8018 (H,wt=19): 8953 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(240,a,4809,a,b,8952,a)]. given #8019 (H,wt=17): 8954 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8010,a,8953,a),flip(a)]. given #8020 (H,wt=17): 8955 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(8785,a,8954,a)]. given #8021 (H,wt=20): 8956 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8954(a,1),8785(a,1))]. given #8022 (H,wt=23): 8726 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8599(a,1),8724(a,1,1))]. given #8023 (H,wt=23): 8730 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(8729(a,1),7503(a,1,2))]. given #8024 (H,wt=19): 8959 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(240,a,7478,a(flip),b,8730,a(flip))]. given #8025 (H,wt=19): 8960 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(6964(a,2),8959(a,2,1))]. given #8026 (H,wt=17): 8961 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8034(a,1),8960(a,2,1))]. given #8027 (H,wt=23): 8739 ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). [para(4735(a,2),8737(a,1,2,1,2))]. given #8028 (H,wt=23): 8744 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8743(a,2),5863(a,1,2))]. given #8029 (H,wt=19): 8964 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(231,a,8744,a)]. given #8030 (H,wt=12): 8965 L(K(x,y),z,x \ 1) = K(x,y). [hyper(4679,a,8964,a)]. given #8031 (H,wt=12): 8966 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(17,a,8610,a,b,8964,a),flip(a)]. given #8032 (H,wt=14): 8968 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(240,a,3576,a(flip),b,8965,a(flip)),flip(a)]. given #8033 (H,wt=14): 8970 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5798,a,8968,a)]. given #8034 (H,wt=14): 8972 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(8454(a,1),8970(a,1,1,1)),flip(a)]. given #8035 (H,wt=17): 8969 K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). [hyper(240,a,6353,a,b,8966,a(flip)),flip(a)]. given #8036 (H,wt=19): 8967 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(8964(a,1),7098(a,1,1))]. given #8037 (H,wt=12): 8974 L(K(x,y),z,y \ 1) = K(x,y). [hyper(8492,a,8967,a)]. given #8038 (H,wt=12): 8975 K(L(x,y,z \ 1),z) = K(x,z). [hyper(8723,a,8974,a)]. given #8039 (H,wt=13): 8976 K((1 / x) * y,x) = K(x \ y,x). [hyper(240,a,6269,a(flip),b,8974,a(flip)),flip(a)]. given #8040 (H,wt=13): 8981 K(x \ ((1 / x) \ y),x) = K(y,x). [para(14(a,1),8976(a,1,1)),flip(a)]. given #8041 (H,wt=15): 8982 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(5499,a,8981,a)]. given #8042 (H,wt=17): 8980 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(2708(a,1),8975(a,1,1)),flip(a)]. given #8043 (H,wt=17): 8984 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(8980(a,1),4738(a,1,2))]. given #8044 (H,wt=19): 8971 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(8968(a,1),106(a,1,2))]. given #8045 (H,wt=10): 8985 R(x,y,K(x \ 1,z)) = x. [hyper(4689,a,8971,a)]. given #8046 (H,wt=14): 8987 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(8985(a,1),42(a,2,1))]. given #8047 (H,wt=13): 8989 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(240,a,5840,a(flip),b,8987,a(flip))]. given #8048 (H,wt=13): 8992 T(x,K(x \ 1,y) * z) = T(x,z). [para(6988(a,1),8989(a,1,2))]. given #8049 (H,wt=15): 8991 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(73,a,8989,a(flip),b,4800,a(flip)),flip(a)]. given #8050 (H,wt=13): 8998 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(240,a,4753,a,b,8991,a)]. given #8051 (H,wt=13): 8999 K(x,y / K(x \ 1,z)) = K(x,y). [para(16(a,1),8998(a,1,2)),flip(a)]. given #8052 (H,wt=13): 9000 K(x,K(x \ 1,y) * z) = K(x,z). [para(6988(a,1),8998(a,1,2))]. given #8053 (H,wt=13): 9001 K(x,y * K(z,x \ 1)) = K(x,y). [para(7090(a,1),8998(a,1,2)),flip(a)]. given #8054 (H,wt=15): 8994 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7399(a,1),8989(a,1,2))]. given #8055 (H,wt=15): 8996 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3022(a,1),8992(a,1,2,1))]. given #8056 (H,wt=15): 9002 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3022(a,1),8999(a,1,2,2))]. given #8057 (H,wt=15): 9003 K(x,y * K(z,x \ 1)) \ 1 = K(y,x). [para(9001(a,2),4977(a,1,1))]. given #8058 (H,wt=13): 9009 K(x * K(y,z \ 1),z) = K(x,z). [hyper(4999,a,9003,a)]. given #8059 (H,wt=13): 9012 K(K(x,y \ 1) * z,y) = K(z,y). [para(7099(a,1),9009(a,1,1))]. given #8060 (H,wt=13): 9013 K(K(x,1 / y) * z,y) = K(z,y). [para(3451(a,2),9012(a,1,1,1))]. given #8061 (H,wt=15): 9006 T(x \ 1,y * x) = T(x \ 1,x * y). [para(4774(a,1),8996(a,1,2)),flip(a)]. given #8062 (H,wt=15): 9008 K(x \ 1,y * x) = K(x \ 1,x * y). [para(141(a,1),9002(a,1,2))]. given #8063 (H,wt=15): 9010 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(1327(a,1),9009(a,1,1))]. given #8064 (H,wt=15): 9015 K((1 / x) * y,x) = K(y * (1 / x),x). [para(4774(a,1),9013(a,1,1)),flip(a)]. given #8065 (H,wt=15): 9016 K(T(x,1 / y) / z,y) = K(x / z,y). [para(5479(a,1),9013(a,1,1))]. given #8066 (H,wt=17): 9004 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6111(a,1),9001(a,1,2,2))]. given #8067 (H,wt=17): 9011 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6111(a,1),9009(a,1,1,2))]. given #8068 (H,wt=17): 9014 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5140(a,1),9012(a,1,1,1))]. given #8069 (H,wt=19): 8973 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(8972(a,1),5636(a,1,1)),flip(a)]. given #8070 (H,wt=10): 9028 L(x,y,K(x \ 1,z)) = x. [hyper(4679,a,8973,a)]. given #8071 (H,wt=12): 9032 L(x \ 1,y,K(x,z)) = x \ 1. [para(3022(a,1),9028(a,1,3))]. given #8072 (H,wt=19): 8997 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5530(a,1),8992(a,1,2)),flip(a)]. given #8073 (H,wt=19): 9019 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(9008(a,2),5494(a,2,2))]. given #8074 (H,wt=19): 9020 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(9008(a,1),5833(a,1,2))]. given #8075 (H,wt=19): 9021 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [para(9008(a,1),5843(a,2,2))]. given #8076 (H,wt=19): 9022 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(240,a,5263,a(flip),b,9015,a)]. given #8077 (H,wt=15): 9040 K(x * y,1 / y) = K(y * x,1 / y). [hyper(240,a,5269,a(flip),b,9022,a(flip))]. given #8078 (H,wt=15): 9041 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),9040(a,2,1))]. given #8079 (H,wt=19): 9024 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7092(a,1),9004(a,1,2))]. given #8080 (H,wt=19): 9025 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(7092(a,1),9011(a,1,1))]. given #8081 (H,wt=19): 9026 K((x / y) * z,y / x) = K((y \ x) * z,y / x). [para(5372(a,1),9014(a,1,1))]. given #8082 (H,wt=19): 9027 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5530(a,1),9014(a,1,1)),flip(a)]. given #8083 (H,wt=19): 9035 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9032(a,1),106(a,1,2))]. given #8084 (H,wt=12): 9043 R(K(x,y),z,x \ 1) = K(x,y). [hyper(4689,a,9035,a)]. given #8085 (H,wt=12): 9047 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8602,a,9043,a)]. given #8086 (H,wt=14): 9048 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9047(a,1),4800(a,2,2))]. given #8087 (H,wt=12): 9050 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(240,a,4800,a,b,9048,a)]. given #8088 (H,wt=19): 9045 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(182,a,9035,a,b,5860,a)]. given #8089 (H,wt=20): 9036 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9032(a,1),831(a,1,1)),flip(a)]. given #8090 (H,wt=21): 8978 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8086,a,8975,a)]. given #8091 (H,wt=21): 9049 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9047(a,1),5448(a,1,2)),flip(a)]. given #8092 (H,wt=21): 9053 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(240,a,3199,a(flip),b,9049,a)]. given #8093 (H,wt=23): 8783 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1303(a,1),8782(a,1,1))]. given #8094 (H,wt=23): 8801 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(7800,a,8799,a),flip(a)]. given #8095 (H,wt=23): 8832 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7743(a,1),8829(a,1,1))]. given #8096 (H,wt=23): 8843 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(240,a,411,a(flip),b,6876,a)]. given #8097 (H,wt=23): 8848 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(240,a,7142,a(flip),b,7158,a)]. given #8098 (H,wt=23): 8852 K(x,((y \ z) * u) \ (1 * u)) = (K(z \ y,x) * u) \ (1 * u). [para(6019(a,1),8851(a,1,1,1)),flip(a)]. given #8099 (H,wt=21): 9056 K(x,((y \ z) * u) \ (1 * u)) = (K(z \ y,x) * u) \ u. [para(11(a,1),8852(a,2,2))]. given #8100 (H,wt=19): 9057 K(x,((y \ z) * u) \ (1 * u)) = K(x,T(z \ y,u)). [hyper(240,a,7042,a(flip),b,9056,a)]. given #8101 (H,wt=17): 9058 K(x,((y \ z) * u) \ u) = K(x,T(z \ y,u)). [para(11(a,1),9057(a,1,2,2))]. given #8102 (H,wt=17): 9059 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(240,a,7075,a,b,9058,a(flip)),flip(a)]. given #8103 (H,wt=23): 8865 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7491(a,2),7523(a,2,2,1))]. given #8104 (H,wt=23): 8871 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(5949,a,7690,a)]. given #8105 (H,wt=23): 8872 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(5430,a,7759,a)]. given #8106 (H,wt=23): 8914 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(73,a,8906,a(flip),b,4779,a)]. given #8107 (H,wt=21): 9066 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(240,a,8844,a(flip),b,8914,a)]. given #8108 (H,wt=23): 8919 x \ R(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). [hyper(73,a,8918,a(flip),b,3580,a)]. given #8109 (H,wt=21): 9067 a(x,(y / z) \ 1,y / z) = a(x,(z \ y) \ 1,z \ y). [hyper(3582,a,8919,a),flip(a)]. given #8110 (H,wt=17): 9068 a(x,(1 / y) \ 1,1 / y) = a(x,y,y \ 1). [hyper(240,a,4711,a(flip),b,9067,a)]. given #8111 (H,wt=23): 8920 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [hyper(8237,a,8280,a(flip)),flip(a)]. given #8112 (H,wt=23): 8927 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(7844(a,1),8378(a,1,1))]. given #8113 (H,wt=23): 8938 (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(7487(a,1),8507(a,1,1,2))]. given #8114 (H,wt=21): 9070 (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). [para(7952(a,1),8938(a,1,1,2))]. given #8115 (H,wt=19): 9071 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). [hyper(240,a,7480,a(flip),b,9070,a(flip)),flip(a)]. given #8116 (H,wt=19): 9072 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). [hyper(240,a,7560,a,b,9071,a)]. given #8117 (H,wt=23): 8940 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1163(a,1),8939(a,1,2,2))]. given #8118 (H,wt=23): 8962 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(8961(a,2),7104(a,1,1))]. given #8119 (H,wt=23): 8979 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(408(a,1),8975(a,1,1))]. given #8120 (H,wt=21): 9074 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(240,a,8782,a(flip),b,8979,a(flip)),flip(a)]. given #8121 (H,wt=17): 9075 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(240,a,9010,a(flip),b,9074,a)]. given #8122 (H,wt=17): 9076 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8054,a,9075,a)]. given #8123 (H,wt=20): 9077 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(240,a,8405,a(flip),b,9076,a(flip)),flip(a)]. given #8124 (H,wt=23): 9044 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(232,a,9035,a)]. given #8125 (H,wt=23): 9062 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,8865,a),flip(a)]. given #8126 (H,wt=23): 9064 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(240,a,5262,a(flip),b,8872,a)]. given #8127 (H,wt=23): 9069 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(240,a,8929,a(flip),b,8920,a(flip))]. given #8128 (H,wt=23): 9078 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7491(a,2),9062(a,1,2,1))]. given #8129 (H,wt=24): 6972 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(240,a,6496,a,b,6964,a),flip(a)]. given #8130 (H,wt=24): 7031 R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(6988(a,1),118(a,1,2))]. given #8131 (H,wt=24): 7033 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(6988(a,1),107(a,1,2,2)),flip(a)]. given #8132 (H,wt=24): 7041 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(720(a,1),7004(a,1,2,2))]. given #8133 (H,wt=24): 7114 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7090(a,1),106(a,1,1))]. given #8134 (H,wt=24): 7209 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(675(a,1),7149(a,1,1,1)),flip(a)]. given #8135 (H,wt=24): 7248 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(6011(a,1),7112(a,1,1))]. given #8136 (H,wt=24): 7289 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7287(a,1),4801(a,1,2,1))]. given #8137 (H,wt=19): 9082 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5016,a,7289,a),flip(a)]. given #8138 (H,wt=19): 9083 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(240,a,7412,a,b,9082,a(flip)),flip(a)]. given #8139 (H,wt=24): 7318 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7144(a,1),7230(a,1,2))]. given #8140 (H,wt=24): 7377 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(5891(a,1),7374(a,1,2))]. given #8141 (H,wt=24): 7435 (x * y) * K(y,T(z,x)) != (x * y) * u | T(K(y,z),x * y) = u. [para(7242(a,2),183(a,2)),flip(a)]. given #8142 (H,wt=24): 7442 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7335(a,1),5932(a,1,2))]. given #8143 (H,wt=15): 9085 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(669,a,7442,a),flip(a)]. given #8144 (H,wt=24): 7500 K(x,K(y,z)) * (y * u) != w * v5 | w \ (T(y,K(x,z)) * u) = v5. [para(7487(a,1),5104(a,1,1))]. given #8145 (H,wt=24): 7576 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(728(a,2),7562(a,1,1)),flip(a)]. given #8146 (H,wt=24): 7624 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(966(a,1),7600(a,1,2))]. given #8147 (H,wt=15): 9086 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7624(a,1),8577(a,1,2))]. given #8148 (H,wt=24): 7649 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7590(a,1),850(a,1,1,1))]. given #8149 (H,wt=24): 7650 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7590(a,1),1579(a,1,1,1))]. given #8150 (H,wt=24): 7748 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7742(a,1),5463(a,1,1,1,2)),flip(a)]. given #8151 (H,wt=17): 9090 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(240,a,5463,a(flip),b,7748,a)]. given #8152 (H,wt=17): 9091 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(7090(a,1),9090(a,1,2)),flip(a)]. given #8153 (H,wt=24): 7916 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7682(a,1),7123(a,1,1)),flip(b)]. given #8154 (H,wt=24): 7928 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7793(a,1),6855(a,1,1,2))]. given #8155 (H,wt=19): 9092 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(240,a,5313,a(flip),b,7928,a(flip))]. given #8156 (H,wt=19): 9095 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7164(a,1),9092(a,1,2)),flip(a)]. given #8157 (H,wt=24): 8051 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4514(a,1),7783(a,1,1))]. given #8158 (H,wt=24): 8072 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(791(a,1),7806(a,1,1))]. given #8159 (H,wt=24): 8073 K(T(x,y),(y * K(z,x)) \ u) != w | K(x,u / (y * K(z,x))) = w. [para(7697(a,1),7806(a,1,1))]. given #8160 (H,wt=24): 8080 (T(x * y,K(z,u)) / y) / x != w | K(z,K(u,(1 / y) / x)) = w. [para(5503(a,1),7976(a,1))]. given #8161 (H,wt=24): 8135 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(6967(a,1),7807(a,1))]. given #8162 (H,wt=24): 8136 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(T(x,y),z,u)) = v5. [para(7607(a,1),7807(a,1))]. given #8163 (H,wt=24): 8141 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(7876(a,1),7302(a,1,1))]. given #8164 (H,wt=24): 8152 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7982(a,1),231(a,1,2))]. given #8165 (H,wt=24): 8247 K(x * K(T(x,y),z),T(u,y)) != w | K(K(y,x) * T(x,z),u) = w. [para(8245(a,1),7782(a,1,1))]. given #8166 (H,wt=24): 8256 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(8253(a,1),295(a,1,2))]. given #8167 (H,wt=24): 8286 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(655,a,8284,a)]. given #8168 (H,wt=24): 8289 x * K(T(x,y),R(z,u,w)) != v5 | T(x,R((y * z) / y,u,w)) = v5. [para(7714(a,1),4803(a,1,2))]. given #8169 (H,wt=24): 8294 T(x,T(L(y \ 1,y,z),u)) = K(x,u) * T(x * K(u,x),y \ 1). [para(6099(a,1),8292(a,1,2)),flip(a)]. given #8170 (H,wt=18): 9098 T(x,T(L(y \ 1,y,z),u)) = T(x,T(y \ 1,u)). [hyper(240,a,8292,a(flip),b,8294,a)]. given #8171 (H,wt=17): 9099 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(352(a,1),9098(a,1,2,1)),flip(a)]. given #8172 (H,wt=17): 9100 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [hyper(7085,a,9099,a)]. given #8173 (H,wt=24): 8402 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(235(a,1),8323(a,1,2,2)),flip(a)]. given #8174 (H,wt=24): 8426 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1298(a,1),7007(a,1,2)),flip(a)]. given #8175 (H,wt=22): 9101 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(240,a,6968,a(flip),b,8426,a)]. given #8176 (H,wt=24): 8451 L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). [para(8037(a,1),126(a,2,1))]. given #8177 (H,wt=20): 9102 T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). [para(7592(a,1),8451(a,1,1)),flip(a)]. given #8178 (H,wt=24): 8465 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8334(a,1),5391(a,1,1)),flip(a)]. given #8179 (H,wt=24): 8527 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8521(a,1),6671(a,1,1))]. given #8180 (H,wt=24): 8530 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8525(a,1),6671(a,1,1))]. given #8181 (H,wt=24): 8584 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7339(a,1),7112(a,1,1))]. given #8182 (H,wt=13): 9105 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(8584,a,8486,a),flip(a)]. given #8183 (H,wt=10): 9108 L(K(x,y),z,y) = K(x,y). [para(324(a,1),9105(a,1,3))]. given #8184 (H,wt=8): 9111 a(x,y,K(z,x)) = 1. [hyper(34,a,9108,a)]. given #8185 (H,wt=10): 9109 K(L(x,y,z),z) = K(x,z). [hyper(8723,a,9108,a)]. given #8186 (H,wt=10): 9112 K(x,L(y,z,y)) = K(x,y). [hyper(240,a,8724,a(flip),b,9108,a(flip)),flip(a)]. given #8187 (H,wt=12): 9122 T(x,L(y,z,y)) = x * K(x,y). [para(9112(a,1),4800(a,2,2))]. given #8188 (H,wt=10): 9123 T(x,L(y,z,y)) = T(x,y). [hyper(240,a,4800,a,b,9122,a)]. given #8189 (H,wt=10): 9132 T(x,R(y,z,y)) = T(x,y). [para(8454(a,1),9123(a,1,2)),flip(a)]. given #8190 (H,wt=13): 9106 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(8723,a,9105,a)]. given #8191 (H,wt=13): 9107 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(240,a,8724,a(flip),b,9105,a(flip)),flip(a)]. given #8192 (H,wt=13): 9124 T(x,L(y,z,y)) != u | T(x,y) = u. [para(9122(a,2),4803(a,1))]. given #8193 (H,wt=13): 9130 T(x,T(y / z,y)) = T(x,z \ y). [para(5441(a,1),9123(a,1,2))]. given #8194 (H,wt=13): 9135 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4224(a,1),9132(a,1,2))]. given #8195 (H,wt=13): 9136 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7383(a,1),9132(a,1,2))]. given #8196 (H,wt=14): 9126 T(x,T(T(y,z),z)) = T(x,L(y,u,y)). [hyper(240,a,7897,a,b,9123,a),flip(a)]. given #8197 (H,wt=14): 9138 T(x,y \ 1) != z | T(x,1 / y) = z. [para(6107(a,1),9124(a,1))]. given #8198 (H,wt=14): 9142 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(9126(a,2),9124(a,1))]. given #8199 (H,wt=14): 9145 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7013(a,1),9142(a,1))]. given #8200 (H,wt=15): 9110 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6380,a,9108,a)]. given #8201 (H,wt=15): 9113 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(240,a,6263,a(flip),b,9108,a(flip))]. given #8202 (H,wt=15): 9114 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9108(a,1),106(a,1,2))]. given #8203 (H,wt=8): 9154 R(x,y,K(z,x)) = x. [hyper(4689,a,9114,a)]. given #8204 (H,wt=10): 9160 R(x,y,K(z,T(x,u))) = x. [para(6974(a,1),9154(a,1,3))]. given #8205 (H,wt=15): 9125 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(387,a,9123,a),flip(a)]. given #8206 (H,wt=15): 9128 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(9123(a,1),122(a,1,2))]. given #8207 (H,wt=15): 9133 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(387,a,9132,a),flip(a)]. given #8208 (H,wt=15): 9134 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9132(a,1),122(a,1,2))]. given #8209 (H,wt=15): 9148 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(240,a,6291,a,b,9110,a(flip)),flip(a)]. given #8210 (H,wt=15): 9150 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),9110(a,1,1,1)),flip(a)]. given #8211 (H,wt=15): 9152 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(240,a,8364,a,b,9113,a)]. given #8212 (H,wt=15): 9167 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(240,a,8228,a(flip),b,9148,a)]. given #8213 (H,wt=16): 9118 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),9109(a,1,1))]. given #8214 (H,wt=16): 9121 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9109(a,1),7629(a,1,1,2)),flip(a)]. given #8215 (H,wt=14): 9171 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(240,a,7629,a(flip),b,9121,a)]. given #8216 (H,wt=16): 9139 T(x,(y * z) \ y) != u | T(x,z \ 1) = u. [para(6106(a,1),9124(a,1))]. given #8217 (H,wt=16): 9143 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(124(a,1),9142(a,1,2,1))]. given #8218 (H,wt=16): 9170 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(240,a,9077,a,b,9167,a(flip)),flip(a)]. given #8219 (H,wt=17): 9140 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(240,a,6898,a(flip),b,9135,a(flip))]. given #8220 (H,wt=17): 9141 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(240,a,6897,a(flip),b,9135,a(flip))]. given #8221 (H,wt=17): 9149 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(240,a,6252,a,b,9110,a(flip)),flip(a)]. given #8222 (H,wt=17): 9155 (x * (y * K(z,x))) / x = (x * y) / T(x,z). [hyper(75,a,9114,a(flip),b,7179,a)]. given #8223 (H,wt=17): 9162 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9125(a,1),122(a,1,2)),flip(a)]. given #8224 (H,wt=17): 9163 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(124(a,1),9128(a,1,2))]. given #8225 (H,wt=17): 9165 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(124(a,1),9134(a,1,2))]. given #8226 (H,wt=17): 9174 T(x,L(y \ 1,y,z)) != u | T(x,y \ 1) = u. [para(171(a,2),9139(a,1,2))]. given #8227 (H,wt=17): 9179 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6316,a,9149,a)]. given #8228 (H,wt=17): 9181 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(240,a,5514,a(flip),b,9179,a(flip))]. given #8229 (H,wt=17): 9182 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(8054,a,9181,a),flip(a)]. given #8230 (H,wt=18): 9147 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(9130(a,1),9145(a,1))]. given #8231 (H,wt=13): 9184 T(x,T(x,y) / z) = T(x,z \ x). [hyper(9147,a,8543,a)]. given #8232 (H,wt=18): 9169 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9148(a,2),8054(a,1))]. given #8233 (H,wt=18): 9173 T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. [para(122(a,1),9139(a,1,2,1))]. given #8234 (H,wt=18): 9176 T(x,((y \ z) \ z) \ z) != u | T(x,z / y) = u. [para(3965(a,1),9143(a,1,2))]. given #8235 (H,wt=16): 9187 T(x,T(y \ z,z)) != u | T(x,z / y) = u. [para(9136(a,1),9176(a,1))]. given #8236 (H,wt=18): 9186 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(8366(a,1),9169(a,1))]. given #8237 (H,wt=18): 9189 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6291(a,1),9186(a,1))]. given #8238 (H,wt=19): 9151 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9110(a,1),6053(a,1,2))]. given #8239 (H,wt=19): 9159 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9154(a,1),477(a,1,1,1)),flip(a)]. given #8240 (H,wt=12): 9196 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(4679,a,9159,a)]. given #8241 (H,wt=19): 9172 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(454(a,1),9171(a,1,2,2)),flip(a)]. given #8242 (H,wt=19): 9180 (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). [para(7104(a,1),9155(a,1,1,2))]. given #8243 (H,wt=19): 9191 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(240,a,4559,a,b,9151,a),flip(a)]. given #8244 (H,wt=19): 9197 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6380,a,9196,a)]. given #8245 (H,wt=17): 9200 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(240,a,8367,a(flip),b,9197,a)]. given #8246 (H,wt=20): 9144 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(194(a,1),9142(a,1,2,1))]. given #8247 (H,wt=20): 9185 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(129(a,1),9169(a,1,1))]. given #8248 (H,wt=20): 9190 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5489(a,2),9189(a,1))]. given #8249 (H,wt=21): 9120 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5891(a,1),9109(a,1,1))]. given #8250 (H,wt=17): 9203 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(240,a,6328,a(flip),b,9120,a(flip)),flip(a)]. given #8251 (H,wt=13): 9204 K(K(x \ y,x) * z,y) = K(z,y). [hyper(8063,a,9203,a),flip(a)]. given #8252 (H,wt=21): 9131 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(9123(a,1),8431(a,1,2,1))]. given #8253 (H,wt=21): 9164 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(9133(a,1),7737(a,1,1,2)),flip(a)]. given #8254 (H,wt=21): 9183 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9182(a,1),4836(a,2,2,2))]. given #8255 (H,wt=17): 9208 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(240,a,4836,a,b,9183,a)]. given #8256 (H,wt=19): 9209 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8550,a,9208,a),flip(a)]. given #8257 (H,wt=17): 9210 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4858,a,9209,a)]. given #8258 (H,wt=17): 9211 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),9210(a,1,2,2)),flip(a)]. given #8259 (H,wt=17): 9212 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(240,a,8513,a,b,9211,a(flip)),flip(a)]. given #8260 (H,wt=21): 9188 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6261(a,2),9186(a,1))]. given #8261 (H,wt=21): 9193 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),9151(a,2,2,1,2))]. given #8262 (H,wt=21): 9199 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),9191(a,1,1,1,2)),flip(a)]. given #8263 (H,wt=19): 9213 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(9199(a,1),8501(a,1,2,1))]. given #8264 (H,wt=21): 9202 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9200(a,1),7491(a,2,2))]. given #8265 (H,wt=21): 9207 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9204(a,1),4800(a,2,2)),flip(a)]. given #8266 (H,wt=19): 9215 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5997,a,9207,a),flip(a)]. given #8267 (H,wt=21): 9214 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(240,a,7491,a(flip),b,9202,a)]. given #8268 (H,wt=22): 9115 (x * y) * K(z,x) != u * w | (x * (y * K(z,x))) / w = u. [para(9108(a,1),529(a,1,2))]. given #8269 (H,wt=22): 9157 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9114(a,1),8610(a,2,2))]. given #8270 (H,wt=22): 9195 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(9151(a,1),7112(a,1,1))]. given #8271 (H,wt=23): 9119 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9109(a,1),5461(a,1,2,1,2)),flip(a)]. given #8272 (H,wt=16): 9218 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(240,a,5461,a(flip),b,9119,a)]. given #8273 (H,wt=19): 9219 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(456(a,1),9218(a,1,1)),flip(a)]. given #8274 (H,wt=23): 9175 T(x,(y * (z * u)) \ (y * z)) != w | T(x,L(u,z,y) \ 1) = w. [para(106(a,1),9139(a,1,2,1))]. given #8275 (H,wt=23): 9178 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8922,a,9140,a)]. given #8276 (H,wt=21): 9221 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(240,a,8668,a(flip),b,9178,a(flip)),flip(a)]. given #8277 (H,wt=21): 9222 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7299,a,9221,a)]. given #8278 (H,wt=19): 9224 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(240,a,8632,a(flip),b,9222,a)]. given #8279 (H,wt=23): 9192 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,9151,a)]. given #8280 (H,wt=23): 9216 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4993(a,1),9215(a,2,1))]. given #8281 (H,wt=19): 9227 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4993(a,1),9216(a,1,1,1))]. given #8282 (H,wt=19): 9228 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5887,a,9227,a),flip(a)]. given #8283 (H,wt=23): 9220 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(5432,a,9219,a),flip(a)]. given #8284 (H,wt=24): 8636 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8630(a,1),6444(a,1,1))]. given #8285 (H,wt=24): 8683 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8138(a,2),7299(a,1))]. given #8286 (H,wt=24): 8707 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(8517(a,1),7302(a,1))]. given #8287 (H,wt=24): 8738 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8731(a,1),5194(a,1,2))]. given #8288 (H,wt=24): 8855 (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. [para(7332(a,1),7843(a,1))]. given #8289 (H,wt=19): 9232 T((x \ y) * z,K(y,x)) = (x \ y) * T(z,K(y,x)). [hyper(8855,a,8692,a)]. given #8290 (H,wt=24): 8860 (((x * y) * K(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [hyper(75,a,8857,a,b,312,a)]. given #8291 (H,wt=22): 9234 ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [para(5929(a,1),8860(a,1,1,1))]. given #8292 (H,wt=22): 9235 ((x * T(y,z)) * (y \ 1)) * K(z,y) = R(x,y,y \ K(y,z)). [hyper(7113,a,9234,a)]. given #8293 (H,wt=20): 9236 (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ K(y,z)). [hyper(240,a,6596,a(flip),b,9235,a(flip)),flip(a)]. given #8294 (H,wt=24): 8943 L(x,T(x,y) \ z,T(x,y)) = z \ (x * (z * K(z / T(x,u),x))). [hyper(73,a,8582,a(flip),b,435,a),flip(a)]. given #8295 (H,wt=20): 9237 L(x,T(x,y) \ z,T(x,y)) = z \ (x * ((x \ z) * x)). [para(7284(a,1),8943(a,2,2,2))]. given #8296 (H,wt=17): 9238 L(x,T(x,y) \ z,T(x,y)) = L(x,x \ z,x). [hyper(240,a,107,a(flip),b,9237,a)]. given #8297 (H,wt=15): 9239 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [hyper(7073,a,9238,a)]. given #8298 (H,wt=24): 8957 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(627(a,1),8955(a,1,2,2)),flip(a)]. given #8299 (H,wt=24): 9079 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6964(a,2),6972(a,1,1))]. given #8300 (H,wt=21): 9242 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(3898,a,9079,a),flip(a)]. given #8301 (H,wt=17): 9244 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(240,a,7406,a(flip),b,9242,a(flip))]. given #8302 (H,wt=17): 9245 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(240,a,8513,a,b,9244,a)]. given #8303 (H,wt=17): 9246 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9245(a,1,2,1,1)),flip(a)]. given #8304 (H,wt=17): 9247 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(240,a,8525,a,b,9246,a(flip)),flip(a)]. given #8305 (H,wt=21): 9248 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),9247(a,1,2,1)),flip(a)]. given #8306 (H,wt=19): 9249 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7778,a,9248,a)]. given #8307 (H,wt=19): 9250 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(240,a,8566,a(flip),b,9249,a(flip)),flip(a)]. given #8308 (H,wt=24): 9080 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7209(a,1,1))]. given #8309 (H,wt=24): 9087 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(6964(a,2),7649(a,1,1))]. given #8310 (H,wt=24): 9088 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(6986(a,2),7650(a,1,1))]. given #8311 (H,wt=24): 9097 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(8419,a,8286,a)]. given #8312 (H,wt=24): 9146 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(196(a,1),9145(a,1,2))]. given #8313 (H,wt=24): 9223 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9221(a,1),7299(a,1))]. given #8314 (H,wt=24): 9254 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(240,a,5815,a,b,9088,a)]. given #8315 (H,wt=24): 9255 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6650(a,1),9097(a,1,1))]. given #8316 (H,wt=24): 9256 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),9254(a,1,1,2))]. given #8317 (H,wt=24): 9258 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(240,a,8483,a(flip),b,9255,a)]. given #8318 (H,wt=24): 9259 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(9258(a,1),7562(a,1,1))]. given #8319 (H,wt=25): 6900 T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). [para(6892(a,1),5966(a,1,2))]. given #8320 (H,wt=25): 7018 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5097(a,1),6981(a,1,2))]. given #8321 (H,wt=24): 9260 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,6749,a(flip),b,7018,a(flip))]. given #8322 (H,wt=23): 9262 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(172(a,1),9260(a,1,1,2)),flip(a)]. given #8323 (H,wt=23): 9263 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(240,a,8373,a(flip),b,9262,a)]. given #8324 (H,wt=24): 9261 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,5512,a(flip),b,9260,a(flip)),flip(a)]. given #8325 (H,wt=25): 7087 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4917(a,1),7040(a,1,2,2)),flip(a)]. given #8326 (H,wt=19): 9265 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(240,a,8117,a(flip),b,7087,a)]. given #8327 (H,wt=15): 9266 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7303,a,9265,a)]. given #8328 (H,wt=25): 7240 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(140(a,1),7234(a,1,2,2)),flip(a)]. given #8329 (H,wt=25): 7387 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4777(a,1),7366(a,1,1)),flip(a)]. given #8330 (H,wt=19): 9270 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4777(a,1),7387(a,1,1)),flip(a)]. given #8331 (H,wt=13): 9271 R(x,y,x * K(z,x)) = R(x,y,x). [para(4777(a,1),9270(a,1,3)),flip(a)]. given #8332 (H,wt=17): 9272 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4813(a,1),9271(a,1,3))]. given #8333 (H,wt=25): 7431 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6678(a,1),7220(a,1,1))]. given #8334 (H,wt=25): 7445 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7352(a,1),5712(a,2,2,2))]. given #8335 (H,wt=25): 7483 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(94(a,1),7452(a,1,2,2))]. given #8336 (H,wt=25): 7518 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7491(a,2),5479(a,1,1))]. given #8337 (H,wt=25): 7551 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5482(a,1),7507(a,1,2)),flip(a)]. given #8338 (H,wt=23): 9274 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7551(a,1),7518(a,1,1))]. given #8339 (H,wt=25): 7874 T(x,K(y,z)) * K(x * K(z,y),u) = K(y,z) * T(x * K(z,y),u). [para(7563(a,1),5929(a,1,1))]. given #8340 (H,wt=25): 7907 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5782(a,1),7902(a,1,2,1)),flip(a)]. given #8341 (H,wt=23): 9277 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(9144,a,7907,a)]. given #8342 (H,wt=21): 9278 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(240,a,3995,a(flip),b,9277,a)]. given #8343 (H,wt=17): 9280 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(240,a,4414,a(flip),b,9278,a)]. given #8344 (H,wt=25): 8000 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6713(a,1),7957(a,1,2)),flip(a)]. given #8345 (H,wt=25): 8106 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(7432(a,2),6677(a,1,2,1))]. given #8346 (H,wt=25): 8319 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8315(a,1),230(a,1,2))]. given #8347 (H,wt=25): 8376 (((x * y) / x) \ z) * K(y,1 / y) = (1 / (1 / ((x * y) / x))) \ z. [para(8243(a,1),2964(a,1,2))]. given #8348 (H,wt=23): 9282 (1 / (1 / ((x * y) / x))) \ K(x,y) = (y \ 1) * K(y,1 / y). [para(4798(a,1),8376(a,1,1)),flip(a)]. given #8349 (H,wt=17): 9283 (1 / (1 / ((x * y) / x))) \ K(x,y) = 1 / y. [hyper(240,a,4821,a(flip),b,9282,a)]. given #8350 (H,wt=25): 8388 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1742(a,1),8272(a,1,2)),flip(a)]. given #8351 (H,wt=25): 8404 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(8338(a,2),2556(a,1,1))]. given #8352 (H,wt=25): 8420 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(8418(a,1),437(a,1,2))]. given #8353 (H,wt=25): 8476 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(8475(a,1),5793(a,1,1,1))]. given #8354 (H,wt=20): 9285 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(75,a,8424,a(flip),b,8476,a(flip))]. given #8355 (H,wt=25): 8495 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1533(a,1),7135(a,1,1,2))]. given #8356 (H,wt=25): 8560 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(73,a,8555,a(flip),b,985,a),flip(a)]. given #8357 (H,wt=25): 8585 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(7339(a,1),7563(a,1,2))]. given #8358 (H,wt=25): 8665 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8663(a,1),5170(a,1,2,2))]. given #8359 (H,wt=19): 9288 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5221,a,8665,a),flip(a)]. given #8360 (H,wt=17): 9289 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(9190,a,9288,a),flip(a)]. given #8361 (H,wt=17): 9290 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(240,a,8647,a,b,9289,a(flip)),flip(a)]. given #8362 (H,wt=17): 9291 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(14(a,1),9289(a,1,1,2,2))]. given #8363 (H,wt=17): 9292 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(16(a,1),9290(a,1,1,2,1)),flip(a)]. given #8364 (H,wt=25): 8685 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7488(a,1),8165(a,2,2))]. given #8365 (H,wt=25): 8735 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(73,a,8704,a(flip),b,5068,a),flip(a)]. given #8366 (H,wt=25): 8759 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) != v5 | K(x,T(w,y)) = v5. [para(8114(a,1),7803(a,1))]. given #8367 (H,wt=19): 9294 K(x,T(y,L(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8586(a,1),8759(a,1))]. given #8368 (H,wt=20): 9296 K(x,T(y,z * (u * x))) != w | K(x,T(y,z * u)) = w. [para(8434(a,1),9294(a,1))]. given #8369 (H,wt=25): 8769 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(8464(a,1),2165(a,1))]. given #8370 (H,wt=25): 8780 (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = u. [para(8610(a,1),19(a,1)),flip(a)]. given #8371 (H,wt=25): 8850 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),7264(a,1,1,1,2,1))]. given #8372 (H,wt=23): 9297 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5928(a,1),8850(a,1,1,1)),flip(a)]. given #8373 (H,wt=23): 9298 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9297(a,2),14(a,1,2))]. given #8374 (H,wt=19): 9300 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5961(a,1),9298(a,1,2,2))]. given #8375 (H,wt=19): 9302 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9298(a,1),8645(a,1,1,2)),flip(a)]. given #8376 (H,wt=19): 9303 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(7090(a,1),9300(a,1,1,1))]. given #8377 (H,wt=19): 9304 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7099(a,1),9302(a,1,1,2,1))]. given #8378 (H,wt=19): 9305 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7100(a,1),9302(a,1,1,2,1)),flip(a)]. given #8379 (H,wt=21): 9307 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9303(a,2),5918(a,1,1))]. given #8380 (H,wt=23): 9301 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9298(a,1),7098(a,1,1)),flip(a)]. given #8381 (H,wt=23): 9306 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(8186,a,9303,a),flip(a)]. given #8382 (H,wt=23): 9310 (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). [para(62(a,1),9301(a,1,1,1,1)),flip(a)]. given #8383 (H,wt=23): 9311 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7142(a,1),9306(a,1,1,2))]. given #8384 (H,wt=23): 9312 (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. [para(9310(a,1),14(a,1,2))]. given #8385 (H,wt=25): 8864 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),8863(a,2,2))]. given #8386 (H,wt=21): 9313 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),8864(a,1,2))]. given #8387 (H,wt=21): 9314 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(240,a,9064,a(flip),b,9313,a(flip)),flip(a)]. given #8388 (H,wt=24): 9315 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9314(a,2),8055(a,1))]. given #8389 (H,wt=25): 8874 T(x,y) * ((z / x) * K(x,K(z,y))) = T(T(x,y),x \ z) * (x \ z). [para(8873(a,1),7168(a,1,2))]. given #8390 (H,wt=25): 8905 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8903(a,1),20(a,1)),flip(a)]. given #8391 (H,wt=25): 8958 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8955(a,1),8833(a,2,2))]. given #8392 (H,wt=25): 9042 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9024(a,2),6054(a,2,2))]. given #8393 (H,wt=25): 9051 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(725(a,1),9050(a,1,2))]. given #8394 (H,wt=25): 9052 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),9045(a,2,2))]. given #8395 (H,wt=25): 9054 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(73,a,9053,a,b,5171,a)]. given #8396 (H,wt=23): 9316 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(678(a,1),9054(a,2,2))]. given #8397 (H,wt=20): 9317 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4925(a,1),9316(a,1,2)),flip(a)]. given #8398 (H,wt=24): 9318 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9317(a,1),8500(a,1,2,1))]. given #8399 (H,wt=24): 9319 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(240,a,7348,a(flip),b,9318,a(flip)),flip(a)]. given #8400 (H,wt=25): 9084 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9083(a,1),7199(a,1,1,2)),flip(a)]. given #8401 (H,wt=19): 9320 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(240,a,7233,a(flip),b,9084,a)]. given #8402 (H,wt=19): 9321 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9320(a,2,2))]. given #8403 (H,wt=19): 9322 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3958(a,2),9321(a,1,2,1)),flip(a)]. given #8404 (H,wt=25): 9096 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(7897(a,1),9095(a,1,2))]. given #8405 (H,wt=25): 9161 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9160(a,1),478(a,1,1,1)),flip(a)]. given #8406 (H,wt=17): 9323 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(4679,a,9161,a)]. given #8407 (H,wt=14): 9325 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(324(a,1),9323(a,1,3))]. given #8408 (H,wt=16): 9324 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(240,a,9101,a(flip),b,9323,a(flip)),flip(a)]. given #8409 (H,wt=16): 9329 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9324(a,1,2,2)),flip(a)]. given #8410 (H,wt=17): 9330 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7809(a,1),9324(a,1,2))]. given #8411 (H,wt=17): 9333 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7917(a,1),9330(a,1,2))]. given #8412 (H,wt=17): 9334 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(7394,a,9333,a),flip(a)]. given #8413 (H,wt=19): 9327 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(240,a,6263,a(flip),b,9325,a(flip))]. given #8414 (H,wt=19): 9332 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9330(a,1,2,2,2))]. given #8415 (H,wt=17): 9337 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7394,a,9332,a),flip(a)]. given #8416 (H,wt=17): 9338 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9337(a,1,2,2)),flip(a)]. given #8417 (H,wt=17): 9339 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(240,a,8157,a(flip),b,9338,a(flip)),flip(a)]. given #8418 (H,wt=17): 9340 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(240,a,8791,a(flip),b,9339,a(flip)),flip(a)]. given #8419 (H,wt=19): 9336 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(240,a,7925,a,b,9334,a(flip)),flip(a)]. given #8420 (H,wt=19): 9341 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(240,a,8635,a(flip),b,9340,a(flip))]. given #8421 (H,wt=17): 9342 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7307,a,9341,a),flip(a)]. given #8422 (H,wt=21): 9326 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6278,a,9325,a)]. given #8423 (H,wt=25): 9226 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4642(a,1),9192(a,2,1)),flip(a)]. given #8424 (H,wt=21): 9345 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4646,a,9226,a),flip(a)]. given #8425 (H,wt=19): 9346 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(9181(a,1),9345(a,1,1,2))]. given #8426 (H,wt=25): 9281 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(8520,a,8106,a)]. given #8427 (H,wt=25): 9286 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4644(a,1),8495(a,1,1,2))]. given #8428 (H,wt=25): 9287 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(987(a,1),8560(a,1,2))]. given #8429 (H,wt=21): 9348 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8167(a,1),9287(a,1,2)),flip(a)]. given #8430 (H,wt=25): 9293 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7491(a,1),8685(a,1,1,1))]. given #8431 (H,wt=23): 9350 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8835(a,1),9293(a,1,1))]. given #8432 (H,wt=23): 9351 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7491(a,1),9350(a,2,1))]. given #8433 (H,wt=23): 9352 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7487(a,1),9351(a,2,2))]. given #8434 (H,wt=25): 9347 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(240,a,8786,a(flip),b,9281,a(flip)),flip(a)]. given #8435 (H,wt=23): 9353 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(51(a,1),9347(a,1,2,1))]. given #8436 (H,wt=21): 9354 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(240,a,9246,a(flip),b,9353,a),flip(a)]. given #8437 (H,wt=21): 9355 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(240,a,8786,a(flip),b,9354,a(flip)),flip(a)]. given #8438 (H,wt=19): 9356 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(51(a,1),9355(a,1,2,1)),flip(a)]. given #8439 (H,wt=26): 7027 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(z,u))). [para(6988(a,1),24(a,2,1,2)),flip(a)]. given #8440 (H,wt=26): 7194 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7105(a,1),119(a,2,2))]. given #8441 (H,wt=17): 9357 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(240,a,7047,a(flip),b,7194,a(flip))]. given #8442 (H,wt=15): 9359 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4800(a,2),9357(a,1,1))]. given #8443 (H,wt=15): 9360 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9359(a,2),65(a,1,1))]. given #8444 (H,wt=21): 9361 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4959(a,1),9360(a,2,2))]. given #8445 (H,wt=19): 9362 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(124(a,1),9361(a,1,1,1))]. given #8446 (H,wt=26): 7249 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6287(a,2),7112(a,1,1))]. given #8447 (H,wt=23): 9363 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(8487(a,1),7249(a,1))]. given #8448 (H,wt=25): 9365 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7358(a,1),9363(a,1,1))]. given #8449 (H,wt=26): 7297 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1299(a,1),6963(a,1,2,2))]. given #8450 (H,wt=25): 9367 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8426(a,2),7297(a,1))]. given #8451 (H,wt=26): 7317 (x * y) * K(z,L(u,y,x)) != w | (x * (y * u)) / T(L(u,y,x),z) = w. [para(142(a,1),7230(a,1,1))]. given #8452 (H,wt=26): 7395 x * K(y,L(T(z,x),u,w)) != v5 * v6 | v5 \ (K(y,L(z,u,w)) * x) = v6. [para(6987(a,2),520(a,1,2))]. given #8453 (H,wt=26): 7659 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(94(a,1),7605(a,1,1,1))]. given #8454 (H,wt=26): 8060 K((x * (y \ 1)) \ z,x / y) != u | K(z / (x * (y \ 1)),x / y) = u. [para(619(a,1),7797(a,1,2))]. given #8455 (H,wt=26): 8180 T((x \ 1) * y,K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2703(a,1),7091(a,1,1))]. given #8456 (H,wt=26): 8249 K(x,y) * (z * K(x,u)) != K(x,u) * w | T(K(x,y) * z,K(x,u)) = w. [para(6938(a,1),183(a,2)),flip(a)]. given #8457 (H,wt=26): 8551 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8545(a,1),4760(a,1,1,1)),flip(a)]. given #8458 (H,wt=21): 9369 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(240,a,4760,a(flip),b,8551,a)]. given #8459 (H,wt=21): 9370 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9369(a,1,1,2,1))]. given #8460 (H,wt=26): 8552 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8548(a,1),4760(a,1,1,1))]. given #8461 (H,wt=21): 9371 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,8552,a),flip(a)]. given #8462 (H,wt=24): 9372 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(8552(a,1),5012(a,1))]. given #8463 (H,wt=26): 8554 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ (u * y))) = w. [para(8549(a,2),7826(a,1,2))]. given #8464 (H,wt=26): 8640 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8638(a,2),7026(a,1,1))]. given #8465 (H,wt=19): 9373 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8640,a,8639,a)]. given #8466 (H,wt=21): 9374 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9373(a,1),4800(a,2,2)),flip(a)]. given #8467 (H,wt=19): 9375 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(4803,a,9374,a),flip(a)]. given #8468 (H,wt=17): 9377 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(240,a,7440,a(flip),b,9375,a(flip))]. given #8469 (H,wt=17): 9378 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9377(a,1,2,1,1)),flip(a)]. given #8470 (H,wt=22): 9376 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9374(a,1),4803(a,1))]. given #8471 (H,wt=26): 8764 K(x,K(y,z)) * (K(x,x \ y) * u) != w | K(x,T(x \ y,z)) * u = w. [para(7585(a,1),8281(a,1,1))]. given #8472 (H,wt=26): 8767 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(240,a,8412,a(flip),b,8325,a(flip)),flip(a)]. given #8473 (H,wt=26): 8768 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8375(a,1),7451(a,1,1)),flip(a)]. given #8474 (H,wt=26): 8792 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4010(a,2),8790(a,1,2,1)),flip(a)]. given #8475 (H,wt=26): 8824 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8823(a,1),7796(a,1))]. given #8476 (H,wt=26): 8849 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7158(a,2),7302(a,1))]. given #8477 (H,wt=26): 8916 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(65(a,1),8915(a,1,2,2)),flip(a)]. given #8478 (H,wt=24): 9380 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3749(a,1),8916(a,2,2))]. given #8479 (H,wt=19): 9381 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(240,a,3755,a(flip),b,9380,a(flip))]. given #8480 (H,wt=23): 9382 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2916(a,1),9381(a,1,2,2)),flip(a)]. given #8481 (H,wt=19): 9383 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2916(a,1),9382(a,1,1,1)),flip(a)]. given #8482 (H,wt=19): 9384 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(9383(a,1),65(a,1,1))]. given #8483 (H,wt=25): 9385 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(124(a,1),9384(a,1,1,1,1))]. given #8484 (H,wt=23): 9386 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(124(a,1),9385(a,2,2))]. given #8485 (H,wt=19): 9387 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9362(a,1),9386(a,1,1))]. given #8486 (H,wt=26): 9046 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(9035(a,1),183(a,2)),flip(a)]. given #8487 (H,wt=26): 9065 K((((x * y) \ x) \ 1) * z,y) != u | K(z * (((x * y) \ x) \ 1),y) = u. [para(8872(a,2),5428(a,1))]. given #8488 (H,wt=26): 9073 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(8940(a,2),8001(a,1))]. given #8489 (H,wt=26): 9089 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8815(a,1),7650(a,1,1,1))]. given #8490 (H,wt=22): 9388 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7599(a,1),9089(a,1,1)),flip(a)]. given #8491 (H,wt=22): 9389 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9388(a,1),16(a,1,1))]. given #8492 (H,wt=26): 9177 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9170(a,1),5318(a,1,2,1,2))]. given #8493 (H,wt=20): 9392 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5320,a,9177,a),flip(a)]. given #8494 (H,wt=21): 9393 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2704(a,1),9392(a,1,1,1))]. given #8495 (H,wt=21): 9394 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(240,a,5515,a(flip),b,9393,a(flip)),flip(a)]. given #8496 (H,wt=21): 9395 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(240,a,9327,a(flip),b,9394,a)]. given #8497 (H,wt=19): 9396 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(240,a,8978,a(flip),b,9395,a(flip))]. given #8498 (H,wt=17): 9397 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7797,a,9396,a),flip(a)]. given #8499 (H,wt=17): 9398 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(240,a,6462,a(flip),b,9397,a)]. given #8500 (H,wt=17): 9399 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),9398(a,1,1,1)),flip(a)]. given #8501 (H,wt=17): 9400 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),9399(a,1,1,1)),flip(a)]. given #8502 (H,wt=21): 9401 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3450,a,9400,a)]. given #8503 (H,wt=26): 9194 x * ((y \ (x \ z)) * y) != u * w | u \ (z * K(x \ (y \ z),y)) = w. [para(9151(a,1),517(a,1))]. given #8504 (H,wt=26): 9253 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9087(a,1),6435(a,1,1)),flip(a)]. given #8505 (H,wt=26): 9273 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7431(a,1),7221(a,1))]. given #8506 (H,wt=26): 9276 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9274(a,1),5192(a,1,2))]. given #8507 (H,wt=26): 9368 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3660(a,2),7659(a,1,1))]. given #8508 (H,wt=26): 9379 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(240,a,7488,a(flip),b,8768,a)]. given #8509 (H,wt=26): 9402 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7142(a,1),9253(a,1,1))]. given #8510 (H,wt=26): 9405 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7532,a,9379,a)]. given #8511 (H,wt=26): 9406 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7148(a,1),9402(a,1,1))]. given #8512 (H,wt=25): 9407 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(240,a,9087,a(flip),b,9406,a(flip))]. given #8513 (H,wt=25): 9408 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9301(a,2),9407(a,1,1))]. given #8514 (H,wt=26): 9409 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9408(a,1),4999(a,1))]. given #8515 (H,wt=27): 6917 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6913(a,1),390(a,1,1))]. given #8516 (H,wt=17): 9410 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6917,a,9036,a)]. given #8517 (H,wt=17): 9411 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7611(a,1),9410(a,1,3))]. given #8518 (H,wt=15): 9412 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6306,a,9411,a)]. given #8519 (H,wt=22): 9414 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9412(a,1),1973(a,1,1,2))]. given #8520 (H,wt=19): 9417 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(240,a,6630,a(flip),b,9414,a(flip))]. given #8521 (H,wt=21): 9420 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9417(a,1),1864(a,1,1))]. given #8522 (H,wt=27): 6999 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(6964(a,2),5528(a,1,1))]. given #8523 (H,wt=27): 7002 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(6964(a,2),6543(a,1,1))]. given #8524 (H,wt=27): 7198 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(7108(a,1),6153(a,1,1)),flip(a)]. given #8525 (H,wt=25): 9423 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7668(a,1),7198(a,1,1,2))]. given #8526 (H,wt=27): 7323 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5146(a,1),6883(a,1,1,1)),flip(a)]. given #8527 (H,wt=27): 7392 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6433(a,1),7381(a,2,1))]. given #8528 (H,wt=23): 9424 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6429(a,1),7392(a,1,2)),flip(a)]. given #8529 (H,wt=23): 9425 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3062,a,9424,a(flip)),flip(a)]. given #8530 (H,wt=27): 7894 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7652(a,2),7138(a,2,2,1)),flip(a)]. given #8531 (H,wt=27): 7998 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(7997(a,1),5503(a,2,1,1))]. given #8532 (H,wt=25): 9427 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(7981,a,7998,a)]. given #8533 (H,wt=23): 9428 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(240,a,7980,a(flip),b,9427,a)]. given #8534 (H,wt=27): 8047 K(L(x,y,z / (y * x)),T(u,z)) != w | K(z / ((z / (y * x)) * y),u) = w. [para(111(a,2),7778(a,1,1))]. given #8535 (H,wt=27): 8194 T(K(x,(y / (x * z)) \ 1),u) != w | R(T(K(x,(y / z) \ x),u),x,z) = w. [para(6479(a,1),8192(a,1,1))]. given #8536 (H,wt=27): 8287 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7685(a,1),7617(a,1,1,1,2))]. given #8537 (H,wt=27): 8299 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7758(a,1),7266(a,1,2,2))]. given #8538 (H,wt=27): 8380 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6271(a,1),8244(a,1,2,1)),flip(a)]. given #8539 (H,wt=25): 9430 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6271(a,1),8380(a,1,1))]. given #8540 (H,wt=27): 8408 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),8374(a,2,1))]. given #8541 (H,wt=24): 9431 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(240,a,9118,a(flip),b,8408,a)]. given #8542 (H,wt=27): 8494 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(839(a,1),7135(a,1,1,2))]. given #8543 (H,wt=25): 9433 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(122(a,1),8494(a,1,1,2,2))]. given #8544 (H,wt=25): 9434 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4641(a,2),9433(a,1,1))]. given #8545 (H,wt=19): 9435 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(9195,a,9434,a),flip(a)]. given #8546 (H,wt=19): 9437 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9435(a,1,2,1,2)),flip(a)]. given #8547 (H,wt=19): 9440 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,8502,a(flip),b,9437,a(flip)),flip(a)]. given #8548 (H,wt=17): 9441 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),9440(a,2,2,1))]. given #8549 (H,wt=22): 9436 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(9434(a,1),9195(a,1))]. given #8550 (H,wt=22): 9438 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(2709(a,1),9435(a,1,2,1)),flip(a)]. given #8551 (H,wt=16): 9442 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(130(a,1),9438(a,1,2)),flip(a)]. given #8552 (H,wt=23): 9439 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9435(a,1),7098(a,1,1,2))]. given #8553 (H,wt=22): 9445 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9439(a,1),7112(a,1))]. given #8554 (H,wt=19): 9446 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(9445,a,8361,a),flip(a)]. given #8555 (H,wt=19): 9449 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(14(a,1),9446(a,1,1,1,2)),flip(a)]. given #8556 (H,wt=19): 9452 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8054,a,9449,a)]. given #8557 (H,wt=17): 9453 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9452(a,2,1,1))]. given #8558 (H,wt=18): 9455 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(240,a,7270,a,b,9453,a(flip)),flip(a)]. given #8559 (H,wt=20): 9454 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(240,a,7271,a,b,9453,a(flip)),flip(a)]. given #8560 (H,wt=21): 9450 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(64(a,1),9446(a,1,1,1)),flip(a)]. given #8561 (H,wt=22): 9447 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(8361(a,1),9445(a,1))]. given #8562 (H,wt=23): 9451 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9446(a,1),4836(a,2,2,2)),flip(a)]. given #8563 (H,wt=19): 9457 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4896,a,9451,a),flip(a)]. given #8564 (H,wt=19): 9459 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(240,a,8539,a,b,9457,a(flip)),flip(a)]. given #8565 (H,wt=22): 9458 T(x,(y * (x * z)) \ u) != w | T(x,(y * z) \ (x \ u)) = w. [para(9451(a,1),4896(a,1))]. given #8566 (H,wt=24): 9448 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(240,a,9431,a(flip),b,9446,a(flip))]. given #8567 (H,wt=25): 9444 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(2708(a,1),9442(a,1,2,1)),flip(a)]. given #8568 (H,wt=27): 8671 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8670(a,1),4671(a,1,2,2)),flip(a)]. given #8569 (H,wt=25): 9462 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6513(a,1),8671(a,1,2,2)),flip(a)]. given #8570 (H,wt=27): 8676 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(240,a,7896,a,b,7914,a),flip(a)]. given #8571 (H,wt=27): 8712 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4777(a,1),8581(a,2,1))]. given #8572 (H,wt=23): 9464 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4851(a,1),8712(a,1,1,2))]. given #8573 (H,wt=21): 9465 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4828(a,1),9464(a,1,2,2))]. given #8574 (H,wt=27): 8732 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8675(a,1),7199(a,1,1))]. given #8575 (H,wt=27): 8741 ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,x)). [para(5486(a,1),8737(a,1,2,1,2,2))]. given #8576 (H,wt=17): 9467 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [hyper(8738,a,8741,a),flip(a)]. given #8577 (H,wt=17): 9469 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(62(a,1),9467(a,1,2,1,1)),flip(a)]. given #8578 (H,wt=20): 9468 K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. [para(8741(a,1),8738(a,1))]. given #8579 (H,wt=27): 8742 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5491(a,1),8737(a,1,2,1,2,2)),flip(a)]. given #8580 (H,wt=27): 9023 K(T(x / (y / (y / z)),1 / u) / (y / z),u) = K((x / z) / (z \ y),u). [para(7428(a,1),9016(a,2,1))]. given #8581 (H,wt=23): 9470 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3072(a,1),9023(a,1,1)),flip(a)]. given #8582 (H,wt=23): 9471 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(240,a,7749,a,b,9470,a)]. given #8583 (H,wt=23): 9472 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5429,a,9471,a)]. given #8584 (H,wt=27): 9251 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),9250(a,2,2))]. given #8585 (H,wt=27): 9284 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(240,a,3945,a(flip),b,8388,a)]. given #8586 (H,wt=23): 9474 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9284(a,1,1,2,1))]. given #8587 (H,wt=27): 9344 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9326,a)]. given #8588 (H,wt=25): 9475 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9344,a(flip)),flip(a)]. given #8589 (H,wt=27): 9364 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5183(a,1),9363(a,1,1,2))]. given #8590 (H,wt=27): 9366 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8521(a,1),9363(a,1,1))]. given #8591 (H,wt=22): 9476 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8530(a,1),9366(a,1))]. given #8592 (H,wt=27): 9422 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(6964(a,2),7002(a,1,2,1))]. given #8593 (H,wt=27): 9426 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(240,a,6294,a,b,7894,a)]. given #8594 (H,wt=23): 9477 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(6763(a,1),9426(a,2,1))]. given #8595 (H,wt=23): 9478 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(6469(a,1),9477(a,1,2))]. given #8596 (H,wt=19): 9479 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9478(a,1),8299(a,1,2)),flip(a)]. given #8597 (H,wt=19): 9481 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3954(a,2),9479(a,2,2,1))]. given #8598 (H,wt=15): 9482 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(17,a,9479,a(flip),b,9481,a(flip))]. given #8599 (H,wt=22): 9480 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(9479(a,2),19(a,1))]. given #8600 (H,wt=27): 9456 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(240,a,6113,a(flip),b,9450,a)]. given #8601 (H,wt=27): 9463 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(6964(a,2),8676(a,1,2))]. given #8602 (H,wt=27): 9466 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7487(a,1),8732(a,1,1))]. given #8603 (H,wt=25): 9486 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5657(a,1),9466(a,1,2))]. given #8604 (H,wt=25): 9487 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5193,a,9486,a)]. given #8605 (H,wt=25): 9488 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7451(a,1),9487(a,1,1))]. given #8606 (H,wt=23): 9489 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7962(a,1),9488(a,1,1))]. given #8607 (H,wt=19): 9490 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8760,a,9489,a)]. given #8608 (H,wt=27): 9473 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9472(a,1),4913(a,2,2))]. given #8609 (H,wt=27): 9483 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5315(a,1),9482(a,1,1,1))]. given #8610 (H,wt=25): 9491 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7902(a,1),9483(a,2,1,2))]. given #8611 (H,wt=27): 9485 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7250,a,9463,a),flip(a)]. given #8612 (H,wt=28): 7196 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(7108(a,1),5439(a,1,1,2))]. given #8613 (H,wt=28): 7498 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7487(a,1),5118(a,1,2))]. given #8614 (H,wt=28): 7989 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7923(a,1),5459(a,1,2,1,2)),flip(a)]. given #8615 (H,wt=21): 9493 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(240,a,5459,a(flip),b,7989,a)]. given #8616 (H,wt=28): 7990 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7923(a,1),5461(a,1,2,1,2)),flip(a)]. given #8617 (H,wt=21): 9494 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(240,a,5461,a(flip),b,7990,a)]. given #8618 (H,wt=17): 9495 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4872(a,1),9494(a,1,1)),flip(a)]. given #8619 (H,wt=28): 8156 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7993(a,2),5205(a,1,1))]. given #8620 (H,wt=24): 9496 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7568(a,1),8156(a,1,1,3))]. given #8621 (H,wt=24): 9497 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5183(a,1),9496(a,2,2))]. given #8622 (H,wt=28): 8231 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8229(a,1),5458(a,1,1,1,2))]. given #8623 (H,wt=21): 9498 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(5460,a,8231,a),flip(a)]. given #8624 (H,wt=28): 8565 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(8502(a,1),6671(a,1,1))]. given #8625 (H,wt=28): 8721 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6511(a,1),8719(a,1,2)),flip(a)]. given #8626 (H,wt=28): 9081 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1321(a,1),7248(a,1,1,2))]. given #8627 (H,wt=19): 9500 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9081,a,9286,a),flip(a)]. given #8628 (H,wt=15): 9501 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),9500(a,2,2,1))]. given #8629 (H,wt=17): 9503 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7377,a,9501,a),flip(a)]. given #8630 (H,wt=13): 9504 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),9503(a,1,2)),flip(a)]. given #8631 (H,wt=13): 9505 K(x,y * K(z \ x,z)) = K(x,y). [hyper(240,a,7225,a(flip),b,9504,a(flip)),flip(a)]. given #8632 (H,wt=13): 9507 K(x,K(y,y \ x) * z) = K(x,z). [para(5178(a,1),9504(a,1,2)),flip(a)]. given #8633 (H,wt=15): 9506 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),9504(a,1,2,1,1))]. given #8634 (H,wt=15): 9508 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5354(a,1),9504(a,1,2)),flip(a)]. given #8635 (H,wt=19): 9502 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(62(a,1),9500(a,1,2,1,2)),flip(a)]. given #8636 (H,wt=19): 9513 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(315(a,1),9502(a,1,2,1)),flip(a)]. given #8637 (H,wt=17): 9514 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(7179(a,1),9513(a,1,2,1))]. given #8638 (H,wt=15): 9516 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4766(a,1),9514(a,1,2,1)),flip(a)]. given #8639 (H,wt=17): 9515 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(240,a,8557,a,b,9514,a(flip)),flip(a)]. given #8640 (H,wt=17): 9518 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(240,a,6681,a(flip),b,9515,a(flip)),flip(a)]. given #8641 (H,wt=15): 9519 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4818(a,1),9518(a,1,2,2))]. given #8642 (H,wt=15): 9521 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(62(a,1),9519(a,1,2,2,2))]. given #8643 (H,wt=19): 9520 K(x * y,z \ (y * x)) = K(x * y,z \ (x * y)). [para(15(a,1),9519(a,1,2,2,2))]. given #8644 (H,wt=21): 9510 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(7102(a,1),9505(a,1,2)),flip(a)]. given #8645 (H,wt=21): 9512 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9506(a,1),4777(a,1,1,2))]. given #8646 (H,wt=21): 9523 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9512(a,1),5923(a,1,2)),flip(a)]. given #8647 (H,wt=23): 9511 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9507(a,1),4774(a,1,1))]. given #8648 (H,wt=23): 9522 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9521(a,1),6693(a,1))]. given #8649 (H,wt=23): 9524 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5424,a,9511,a)]. given #8650 (H,wt=13): 9525 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3959,a,9524,a)]. given #8651 (H,wt=15): 9526 T(x,(x / y) * z) = T(x,(y \ x) * z). [para(5372(a,1),9525(a,1,2))]. given #8652 (H,wt=15): 9527 T(x,(x / y) \ z) = T(x,(y \ x) \ z). [para(5530(a,1),9525(a,1,2)),flip(a)]. given #8653 (H,wt=28): 9103 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(240,a,3022,a,b,8530,a)]. given #8654 (H,wt=28): 9153 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9113(a,1),5458(a,1,1,1,2))]. given #8655 (H,wt=21): 9528 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5460,a,9153,a),flip(a)]. given #8656 (H,wt=24): 9529 K((x \ y) \ z,L(x,u,w)) != v5 | K(y \ (x * z),L(x,u,w)) = v5. [para(9153(a,1),5460(a,1))]. given #8657 (H,wt=28): 9168 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9148(a,1),5458(a,1,1,1,2))]. given #8658 (H,wt=21): 9530 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5460,a,9168,a),flip(a)]. given #8659 (H,wt=24): 9531 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(108(a,2),9530(a,1,1))]. given #8660 (H,wt=26): 9532 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9530(a,1),8767(a,1,2))]. given #8661 (H,wt=28): 9225 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(240,a,6510,a(flip),b,9224,a)]. given #8662 (H,wt=28): 9257 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9254(a,1),6650(a,1,1)),flip(a)]. given #8663 (H,wt=28): 9275 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9274(a,1),120(a,1,1,1)),flip(a)]. given #8664 (H,wt=24): 9535 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(240,a,237,a(flip),b,9275,a)]. given #8665 (H,wt=22): 9536 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(240,a,4794,a,b,9535,a)]. given #8666 (H,wt=22): 9538 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(240,a,7487,a,b,9536,a)]. given #8667 (H,wt=28): 9391 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9389(a,1,1,1,1))]. given #8668 (H,wt=24): 9539 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9391(a,2,2,1,1))]. given #8669 (H,wt=26): 9540 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [hyper(75,a,9539,a(flip),b,175,a)]. given #8670 (H,wt=27): 9541 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9539(a,1),299(a,1,1)),flip(b)]. given #8671 (H,wt=28): 9492 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(7178(a,1),7196(a,2,2))]. given #8672 (H,wt=28): 9499 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7545,a,8721,a)]. given #8673 (H,wt=28): 9533 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1163(a,1),9225(a,1,2,1))]. given #8674 (H,wt=23): 9545 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(616(a,1),9533(a,1,2,2))]. given #8675 (H,wt=28): 9534 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(240,a,5183,a(flip),b,9257,a)]. given #8676 (H,wt=28): 9543 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9523(a,2),9540(a,1,1))]. given #8677 (H,wt=22): 9547 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9543(a,1),483(a,1))]. given #8678 (H,wt=28): 9546 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7142(a,1),9534(a,1,1,1))]. given #8679 (H,wt=28): 9548 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7142(a,1),9546(a,1,1,1))]. given #8680 (H,wt=27): 9549 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9256(a,1),9548(a,1,1))]. given #8681 (H,wt=23): 9550 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(20,a,9549,a)]. given #8682 (H,wt=23): 9551 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(240,a,5815,a(flip),b,9550,a(flip))]. given #8683 (H,wt=23): 9552 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(9551(a,2),16(a,1,1))]. given #8684 (H,wt=15): 9557 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(9552(a,1),6824(a,1,2))]. given #8685 (H,wt=15): 9560 K(x,y * (z * K(u,x))) = K(x,y * z). [para(7641(a,1),9557(a,1,2,2)),flip(a)]. given #8686 (H,wt=17): 9558 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9552(a,1),9000(a,1,2))]. given #8687 (H,wt=17): 9559 K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). [para(5078(a,1),9557(a,1,2,2))]. given #8688 (H,wt=17): 9561 K(x,y * (z / T(u,x))) = K(x,y * (z / u)). [para(8132(a,1),9557(a,1,2,2))]. given #8689 (H,wt=19): 9554 T(x,y) * (K(z,x) * u) = K(z,x) * (T(x,y) * u). [para(981(a,1),9552(a,1,1,2)),flip(a)]. given #8690 (H,wt=19): 9562 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(264(a,1),9560(a,1,2,2))]. given #8691 (H,wt=19): 9563 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8132(a,1),9558(a,1,2,2))]. given #8692 (H,wt=21): 9555 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(1166(a,1),9552(a,1,1,2)),flip(a)]. given #8693 (H,wt=13): 9566 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5786,a,9555,a)]. given #8694 (H,wt=17): 9569 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9566(a,1),8253(a,1,1,2)),flip(a)]. given #8695 (H,wt=16): 9570 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(9569(a,2),7112(a,1))]. given #8696 (H,wt=21): 9567 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(5178(a,1),9555(a,1,2)),flip(a)]. given #8697 (H,wt=21): 9572 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5191,a,9567,a),flip(a)]. given #8698 (H,wt=19): 9574 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(73,a,56,a(flip),b,9572,a),flip(a)]. given #8699 (H,wt=23): 9556 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [para(9552(a,1),5184(a,1,2)),flip(a)]. given #8700 (H,wt=23): 9565 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6146(a,1),9563(a,1,2,2)),flip(a)]. given #8701 (H,wt=23): 9577 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(240,a,9550,a(flip),b,9556,a(flip)),flip(a)]. given #8702 (H,wt=23): 9578 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(9577(a,2),16(a,1,1))]. given #8703 (H,wt=19): 9580 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9578(a,1),8508(a,1,2,2)),flip(a)]. given #8704 (H,wt=19): 9584 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4869(a,1),9580(a,1,2,2,2)),flip(a)]. given #8705 (H,wt=21): 9582 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9578(a,1),8894(a,1,2)),flip(a)]. given #8706 (H,wt=23): 9581 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(9578(a,1),8662(a,1,2,2,1)),flip(a)]. given #8707 (H,wt=24): 9571 K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. [para(6445(a,1),9570(a,1))]. given #8708 (H,wt=25): 9568 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9165(a,1),9555(a,2,2))]. given #8709 (H,wt=23): 9586 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5078(a,1),9568(a,1,2)),flip(a)]. given #8710 (H,wt=26): 9576 R(x,y,z) \ K(x,u) != w * v5 | w \ (K(x,u) * (R(x,y,z) \ 1)) = v5. [para(9574(a,1),517(a,1))]. given #8711 (H,wt=26): 9579 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(9578(a,1),5194(a,1,2))]. given #8712 (H,wt=27): 9553 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9551(a,2),9541(a,1))]. given #8713 (H,wt=24): 9587 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(9553,a,8654,a),flip(a)]. given #8714 (H,wt=20): 9588 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),9587(a,1,2,2,2)),flip(a)]. given #8715 (H,wt=15): 9589 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),9588(a,2,2))]. given #8716 (H,wt=17): 9591 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9547,a,9589,a)]. given #8717 (H,wt=24): 9592 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(9591(a,1),470(a,1,1))]. given #8718 (H,wt=21): 9593 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(240,a,6467,a(flip),b,9592,a(flip))]. given #8719 (H,wt=17): 9594 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4872(a,1),9593(a,2,1))]. given #8720 (H,wt=15): 9595 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(240,a,9523,a(flip),b,9594,a(flip)),flip(a)]. given #8721 (H,wt=10): 9598 L(x,K(y,z),z * y) = x. [hyper(766,a,9595,a)]. given #8722 (H,wt=10): 9605 L(x,K(y \ z,y),z) = x. [para(14(a,1),9598(a,1,3))]. given #8723 (H,wt=10): 9606 L(x,K(y,y \ z),z) = x. [para(4995(a,1),9605(a,1,2))]. given #8724 (H,wt=12): 9607 L(x,K(y \ 1,z),y \ z) = x. [para(5493(a,1),9605(a,1,2))]. given #8725 (H,wt=15): 9596 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(73,a,9594,a(flip),b,9523,a(flip))]. given #8726 (H,wt=15): 9603 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(73,a,14,a(flip),b,9595,a),flip(a)]. given #8727 (H,wt=17): 9599 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(541,a,9595,a)]. given #8728 (H,wt=17): 9602 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(73,a,5929,a(flip),b,9595,a)]. given #8729 (H,wt=16): 9617 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(240,a,3951,a(flip),b,9602,a(flip))]. given #8730 (H,wt=15): 9620 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(240,a,5444,a,b,9617,a(flip)),flip(a)]. given #8731 (H,wt=15): 9623 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9620(a,1,2,2)),flip(a)]. given #8732 (H,wt=13): 9624 x \ R(x,T(y,x),x) = a(x,y,x). [para(177(a,1),9623(a,1,2)),flip(a)]. given #8733 (H,wt=11): 9625 x \ R(x,y,x) = a(x,y,x). [para(4250(a,1),9624(a,1,2))]. given #8734 (H,wt=11): 9627 R(x,y,x) / x = a(x,y,x). [hyper(3656,a,9625,a)]. given #8735 (H,wt=11): 9631 x * a(x,y,x) = R(x,y,x). [para(9625(a,1),14(a,1,2))]. given #8736 (H,wt=11): 9633 a(x,y,x) * x = R(x,y,x). [para(9625(a,1),3655(a,1,1))]. given #8737 (H,wt=11): 9635 a(x,y,x) \ R(x,y,x) = x. [para(9627(a,1),65(a,1,1))]. given #8738 (H,wt=14): 9626 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5445,a,9625,a)]. given #8739 (H,wt=14): 9632 x * a(x,y,x) != z | R(x,y,x) = z. [para(9625(a,1),224(a,1,2)),flip(b)]. given #8740 (H,wt=14): 9634 T(x * y,x) / x = y * a(x,y,x). [para(9625(a,1),8198(a,1,2)),flip(a)]. given #8741 (H,wt=14): 9637 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9631(a,1),241(a,1,2)),flip(b)]. given #8742 (H,wt=14): 9638 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7110,a,9626,a)]. given #8743 (H,wt=14): 9639 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5191,a,9626,a)]. given #8744 (H,wt=14): 9640 K(x,x * y) * a(x,y,x) = K(x,y). [para(9626(a,1),5189(a,1,2))]. given #8745 (H,wt=14): 9650 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(240,a,6469,a,b,9639,a)]. given #8746 (H,wt=15): 9628 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(240,a,7088,a,b,9625,a(flip)),flip(a)]. given #8747 (H,wt=15): 9629 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(240,a,8756,a(flip),b,9625,a(flip))]. given #8748 (H,wt=15): 9652 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9628(a,1),3655(a,1,1))]. given #8749 (H,wt=16): 9621 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9617(a,1),7045(a,1,1))]. given #8750 (H,wt=16): 9622 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9617(a,1),7098(a,1,1))]. given #8751 (H,wt=16): 9630 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(240,a,5444,a(flip),b,9625,a(flip)),flip(a)]. given #8752 (H,wt=16): 9643 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9634(a,1,1,1)),flip(a)]. given #8753 (H,wt=16): 9644 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9634(a,1),124(a,1,1))]. given #8754 (H,wt=16): 9651 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),9640(a,1,1,2))]. given #8755 (H,wt=12): 9656 a(x,x \ 1,x) = K(x,x \ 1). [hyper(161,a,9651,a)]. given #8756 (H,wt=16): 9653 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9629(a,2),9637(a,1))]. given #8757 (H,wt=11): 9657 a(x,y,T(x,z)) = a(x,y,x). [hyper(9653,a,9085,a),flip(a)]. given #8758 (H,wt=14): 9658 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9085(a,1),9653(a,1))]. given #8759 (H,wt=14): 9659 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9657(a,1),8429(a,1))]. given #8760 (H,wt=17): 9608 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(240,a,5891,a(flip),b,9606,a(flip)),flip(a)]. given #8761 (H,wt=17): 9610 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. [para(14(a,1),9603(a,1,2,1))]. given #8762 (H,wt=17): 9611 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(9603(a,1),4779(a,1,2)),flip(a)]. given #8763 (H,wt=17): 9616 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(240,a,2160,a,b,9602,a)]. given #8764 (H,wt=17): 9641 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9626(a,1),7112(a,1,1))]. given #8765 (H,wt=17): 9649 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5425(a,2),9637(a,1))]. given #8766 (H,wt=17): 9661 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(14(a,1),9608(a,1,2)),flip(a)]. given #8767 (H,wt=18): 9609 (x * y) * (K(y,x) * z) != u | (y * x) * z = u. [para(9596(a,1),224(a,1,2)),flip(b)]. given #8768 (H,wt=18): 9636 a(x,y,x) \ R(x,y,x) != z * u | x / u = z. [para(9627(a,1),532(a,1,1))]. given #8769 (H,wt=19): 9600 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(73,a,4800,a,b,9595,a)]. given #8770 (H,wt=19): 9612 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(9603(a,1),7923(a,1,1,2))]. given #8771 (H,wt=19): 9613 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(9603(a,1),9000(a,1,2)),flip(a)]. given #8772 (H,wt=17): 9669 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(240,a,9441,a(flip),b,9613,a)]. given #8773 (H,wt=16): 9670 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(240,a,7379,a(flip),b,9669,a(flip)),flip(a)]. given #8774 (H,wt=19): 9614 K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). [para(9603(a,1),9557(a,1,2,2))]. given #8775 (H,wt=19): 9655 K(x,y) * a(x,x \ y,x) != z | K(x,x \ y) = z. [para(9630(a,1),5200(a,1,2)),flip(b)]. given #8776 (H,wt=19): 9667 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(9661(a,1),9599(a,1,2)),flip(a)]. given #8777 (H,wt=20): 9619 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9602(a,2),2161(a,1))]. given #8778 (H,wt=21): 9666 (x \ y) \ ((z * (x / z)) \ y) = K(z \ x,T(z,x \ y)). [hyper(73,a,9661,a(flip),b,6988,a)]. given #8779 (H,wt=22): 9604 (x * y) * (K(y,x) * z) != u * w | u \ ((y * x) * z) = w. [para(9595(a,2),517(a,1))]. given #8780 (H,wt=22): 9672 (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. [para(9666(a,2),8559(a,1))]. given #8781 (H,wt=23): 9642 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(240,a,1754,a,b,9634,a(flip)),flip(a)]. given #8782 (H,wt=22): 9673 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9634(a,1),9642(a,1,1)),flip(a)]. given #8783 (H,wt=23): 9668 K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). [para(14(a,1),9612(a,1,1,2,1)),flip(a)]. given #8784 (H,wt=24): 9597 (K(x,y) * z) * T(y * x,z) != u * w | u \ ((x * y) * z) = w. [para(9594(a,2),517(a,1))]. given #8785 (H,wt=25): 9654 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(6906(a,1),9652(a,1,2)),flip(a)]. given #8786 (H,wt=27): 9615 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(73,a,1188,a(flip),b,9599,a),flip(a)]. given #8787 (H,wt=27): 9645 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9634(a,2),188(a,1,2,2))]. given #8788 (H,wt=27): 9675 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(240,a,6873,a,b,9615,a(flip)),flip(a)]. given #8789 (H,wt=25): 9677 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(240,a,6871,a(flip),b,9675,a(flip)),flip(a)]. given #8790 (H,wt=27): 9676 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1391(a,1),9645(a,1,2,2))]. given #8791 (H,wt=25): 9678 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(122(a,1),9676(a,1,2)),flip(a)]. given #8792 (H,wt=28): 9674 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9654(a,2),20(a,1))]. given #8793 (H,wt=29): 6918 L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,K(1 / z,u) * (w * (1 / z))). [para(6913(a,1),3808(a,1,3)),flip(a)]. given #8794 (H,wt=29): 7116 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7090(a,1),669(a,1,1,2))]. given #8795 (H,wt=29): 7439 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4128(a,1),7273(a,1,2))]. given #8796 (H,wt=25): 9679 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8342(a,1),7439(a,1,1)),flip(a)]. given #8797 (H,wt=23): 9680 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(240,a,7220,a(flip),b,9679,a)]. given #8798 (H,wt=17): 9681 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4128(a,1),9680(a,1,1)),flip(a)]. given #8799 (H,wt=21): 9682 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9273,a,9681,a)]. given #8800 (H,wt=29): 8053 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4922(a,2),7783(a,1,1))]. given #8801 (H,wt=29): 8056 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(24(a,2),7796(a,1,2,1))]. given #8802 (H,wt=29): 8261 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4432(a,1),7291(a,1,1))]. given #8803 (H,wt=27): 9683 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(77,a,8261,a),flip(a)]. given #8804 (H,wt=23): 9684 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4429(a,1),9683(a,1,1)),flip(a)]. given #8805 (H,wt=29): 8458 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8279(a,1),28(a,2,2,2)),flip(a)]. given #8806 (H,wt=29): 8688 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4420(a,1),8290(a,1,2)),flip(a)]. given #8807 (H,wt=19): 9686 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(240,a,8290,a(flip),b,8688,a)]. given #8808 (H,wt=19): 9687 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(589(a,1),9686(a,1,2,1,1)),flip(a)]. given #8809 (H,wt=23): 9688 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4734(a,1),9687(a,1,2,1)),flip(a)]. given #8810 (H,wt=23): 9689 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(6964(a,2),9688(a,2,2))]. given #8811 (H,wt=24): 9690 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9689(a,2),8224(a,1))]. given #8812 (H,wt=29): 8736 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8704(a,1),6919(a,1,1,2)),flip(a)]. given #8813 (H,wt=27): 9691 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(193(a,1),8736(a,2,1))]. given #8814 (H,wt=23): 9692 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(240,a,8702,a(flip),b,9691,a(flip))]. given #8815 (H,wt=29): 8837 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(5644(a,1),8834(a,2,2))]. given #8816 (H,wt=25): 9693 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5644(a,1),8837(a,1,1,2))]. given #8817 (H,wt=25): 9694 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4548,a,9693,a)]. given #8818 (H,wt=25): 9695 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6650(a,1),9694(a,2,1))]. given #8819 (H,wt=25): 9696 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6669,a,9695,a),flip(a)]. given #8820 (H,wt=29): 8912 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5300(a,1),8911(a,1,1,2))]. given #8821 (H,wt=25): 9698 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(240,a,4492,a(flip),b,8912,a(flip)),flip(a)]. given #8822 (H,wt=19): 9699 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(240,a,8911,a(flip),b,9698,a(flip))]. given #8823 (H,wt=29): 8983 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(8982(a,1),8397(a,1,2,1)),flip(a)]. given #8824 (H,wt=27): 9700 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,8397,a(flip),b,8983,a)]. given #8825 (H,wt=23): 9701 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),9700(a,1,1,2,1,2,1))]. given #8826 (H,wt=21): 9702 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,8674,a(flip),b,9701,a(flip)),flip(a)]. given #8827 (H,wt=17): 9704 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,7892,a(flip),b,9702,a(flip)),flip(a)]. given #8828 (H,wt=29): 9060 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(8232,a,9059,a)]. given #8829 (H,wt=27): 9705 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9060,a(flip))]. given #8830 (H,wt=25): 9706 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(240,a,9475,a(flip),b,9705,a(flip))]. given #8831 (H,wt=23): 9707 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(240,a,7609,a(flip),b,9706,a)]. given #8832 (H,wt=21): 9708 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(7796,a,9707,a)]. given #8833 (H,wt=29): 9331 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9324(a,1),6995(a,1,2,2)),flip(a)]. given #8834 (H,wt=27): 9709 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [hyper(240,a,6990,a(flip),b,9331,a)]. given #8835 (H,wt=21): 9710 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9105(a,1),9709(a,1,1)),flip(a)]. given #8836 (H,wt=25): 9711 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5182(a,1),9710(a,1,2)),flip(a)]. given #8837 (H,wt=21): 9713 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(240,a,8585,a(flip),b,9711,a(flip)),flip(a)]. given #8838 (H,wt=21): 9714 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7578,a,9713,a)]. given #8839 (H,wt=23): 9715 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(240,a,7519,a,b,9714,a),flip(a)]. given #8840 (H,wt=16): 9716 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(17,a,7454,a,b,9715,a),flip(a)]. given #8841 (H,wt=16): 9717 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(240,a,7487,a,b,9716,a)]. given #8842 (H,wt=29): 9573 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7600(a,1),9567(a,1,1))]. given #8843 (H,wt=25): 9718 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7600(a,1),9573(a,1,2,2,1))]. given #8844 (H,wt=29): 9618 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(40(a,2),9602(a,1,2,2))]. given #8845 (H,wt=29): 9648 (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. [para(9102(a,1),9634(a,1,1)),flip(a)]. given #8846 (H,wt=29): 9663 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(240,a,8464,a(flip),b,9616,a)]. given #8847 (H,wt=27): 9720 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1738(a,1),9663(a,1,2))]. given #8848 (H,wt=17): 9721 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(669,a,9720,a),flip(a)]. given #8849 (H,wt=17): 9724 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(9721(a,1),14(a,1,2))]. given #8850 (H,wt=19): 9725 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(9721(a,1),3669(a,1,1)),flip(a)]. given #8851 (H,wt=20): 9722 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(9720(a,1),669(a,1))]. given #8852 (H,wt=20): 9723 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(8769,a,9721,a)]. given #8853 (H,wt=20): 9729 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(9723(a,1),7045(a,1,1))]. given #8854 (H,wt=23): 9726 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(9721(a,1),8735(a,1,2)),flip(a)]. given #8855 (H,wt=21): 9733 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5154,a,9726,a)]. given #8856 (H,wt=21): 9735 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(9733(a,1),14(a,1,2))]. given #8857 (H,wt=25): 9732 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),9729(a,1,2,2))]. given #8858 (H,wt=25): 9734 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(240,a,970,a(flip),b,9733,a(flip)),flip(a)]. given #8859 (H,wt=28): 9731 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(9723(a,1),8283(a,1,1)),flip(a)]. given #8860 (H,wt=29): 9664 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(240,a,8457,a(flip),b,9616,a)]. given #8861 (H,wt=25): 9737 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9664(a,1),9619(a,1))]. given #8862 (H,wt=27): 9736 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1623(a,1),9664(a,1,2))]. given #8863 (H,wt=17): 9738 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(669,a,9736,a),flip(a)]. given #8864 (H,wt=20): 9739 x \ R(x,y,L(x,z,u)) != w | a(x,y,L(x,z,u)) = w. [para(9736(a,1),669(a,1))]. given #8865 (H,wt=20): 9740 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9737,a,9738,a)]. given #8866 (H,wt=29): 9727 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(9096(a,2),9721(a,1,2))]. given #8867 (H,wt=25): 9741 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(9722,a,9727,a)]. given #8868 (H,wt=21): 9742 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(240,a,4344,a(flip),b,9741,a(flip))]. given #8869 (H,wt=17): 9743 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4267,a,9742,a)]. given #8870 (H,wt=29): 9728 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(4266(a,1),9725(a,2,1))]. given #8871 (H,wt=27): 9744 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(9096(a,1),9728(a,1,1))]. given #8872 (H,wt=25): 9745 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(9743(a,1),9744(a,2,1))]. given #8873 (H,wt=23): 9746 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(240,a,9725,a(flip),b,9745,a(flip)),flip(a)]. given #8874 (H,wt=30): 7683 (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(7611(a,1),5197(a,1,1,3)),flip(a)]. given #8875 (H,wt=30): 7882 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(7567(a,1),5693(a,1,1))]. given #8876 (H,wt=26): 9748 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5182(a,1),7882(a,1,2)),flip(a)]. given #8877 (H,wt=22): 9749 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(240,a,4131,a(flip),b,9748,a)]. given #8878 (H,wt=30): 8568 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8546(a,1),4760(a,1,1,1))]. given #8879 (H,wt=28): 9750 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8568(a,1),5012(a,1))]. given #8880 (H,wt=30): 8684 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(240,a,8113,a(flip),b,8140,a)]. given #8881 (H,wt=30): 8727 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(463(a,1),8616(a,1,2,2)),flip(a)]. given #8882 (H,wt=30): 8888 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3660(a,1),8884(a,2,2))]. given #8883 (H,wt=30): 8944 T(x,y) * ((T(x,y) \ z) * x) != u * w | u \ (x * (z * K(z / T(x,v5),x))) = w. [para(8582(a,2),517(a,1))]. given #8884 (H,wt=30): 9005 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(8996(a,1),841(a,1,2,2)),flip(a)]. given #8885 (H,wt=30): 9264 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(9262(a,2),6208(a,1))]. given #8886 (H,wt=17): 9753 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(9264,a,9401,a)]. given #8887 (H,wt=22): 9754 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3324(a,2),9753(a,1,1,2))]. given #8888 (H,wt=21): 9755 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(240,a,9261,a(flip),b,9754,a(flip)),flip(a)]. given #8889 (H,wt=21): 9757 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(240,a,9263,a(flip),b,9755,a(flip)),flip(a)]. given #8890 (H,wt=30): 9343 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(240,a,8576,a(flip),b,9342,a(flip)),flip(a)]. given #8891 (H,wt=26): 9759 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9343(a,2),7807(a,1))]. given #8892 (H,wt=30): 9429 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(490(a,2),9428(a,1,2,2))]. given #8893 (H,wt=30): 9460 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9459(a,1),4760(a,1,1,1))]. given #8894 (H,wt=28): 9760 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9460(a,1),5012(a,1))]. given #8895 (H,wt=30): 9730 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(7815(a,1),9723(a,1,1))]. given #8896 (H,wt=25): 9761 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6839(a,1),9730(a,1,2)),flip(a)]. given #8897 (H,wt=20): 9762 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(240,a,9723,a(flip),b,9761,a)]. given #8898 (H,wt=17): 9765 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(341(a,1),9762(a,1,2,2))]. given #8899 (H,wt=25): 9764 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(124(a,1),9762(a,1,2)),flip(a)]. given #8900 (H,wt=25): 9766 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(9764(a,1),9732(a,1,1))]. given #8901 (H,wt=25): 9767 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(240,a,6841,a(flip),b,9766,a)]. given #8902 (H,wt=30): 9747 (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(7142(a,1),7683(a,2,1,2))]. given #8903 (H,wt=30): 9751 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),8684(a,1,1,2))]. given #8904 (H,wt=30): 9752 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(6964(a,2),9005(a,2,2,1))]. given #8905 (H,wt=26): 9769 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9490(a,1),9752(a,2,2))]. given #8906 (H,wt=24): 9770 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(240,a,122,a(flip),b,9769,a)]. given #8907 (H,wt=24): 9771 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(6964(a,2),9770(a,1,1,2))]. given #8908 (H,wt=17): 9772 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(8861(a,1),9771(a,1,1))]. given #8909 (H,wt=17): 9773 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(9772(a,1),5865(a,1,2))]. given #8910 (H,wt=12): 9775 R(K(x,y),y \ 1,z) = K(x,y). [hyper(240,a,6441,a(flip),b,9773,a(flip)),flip(a)]. given #8911 (H,wt=30): 9768 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(7560(a,1),9751(a,1,2))]. given #8912 (H,wt=23): 9777 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7822(a,1),9768(a,1,2))]. given #8913 (H,wt=28): 9778 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(9777(a,1),5313(a,1,1,2))]. given #8914 (H,wt=26): 9780 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5311(a,1),9778(a,1,1))]. given #8915 (H,wt=21): 9781 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(240,a,6535,a(flip),b,9780,a(flip))]. given #8916 (H,wt=31): 7155 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(240,a,6573,a,b,7142,a(flip)),flip(a)]. given #8917 (H,wt=27): 9783 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(240,a,7430,a(flip),b,7155,a)]. given #8918 (H,wt=27): 9784 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7302,a,9783,a)]. given #8919 (H,wt=31): 7184 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(7103(a,1),475(a,1,2)),flip(a)]. given #8920 (H,wt=25): 9785 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(7103(a,1),7184(a,2,1))]. given #8921 (H,wt=20): 9786 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(240,a,30,a,b,9785,a)]. given #8922 (H,wt=24): 9788 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(179(a,1),9786(a,1,2))]. given #8923 (H,wt=31): 8102 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(240,a,6958,a,b,7408,a)]. given #8924 (H,wt=31): 8146 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5606(a,2),7941(a,2,2)),flip(a)]. given #8925 (H,wt=29): 9790 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(7581(a,1),8146(a,2,1))]. given #8926 (H,wt=29): 9791 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8129(a,2),9790(a,2,2))]. given #8927 (H,wt=21): 9792 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(240,a,6152,a,b,9791,a(flip)),flip(a)]. given #8928 (H,wt=25): 9793 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5619,a,9792,a)]. given #8929 (H,wt=31): 8164 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(5776(a,1),8109(a,1,1,2))]. given #8930 (H,wt=29): 9795 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(152(a,1),8164(a,1,1))]. given #8931 (H,wt=29): 9797 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7094(a,1),9795(a,1,2))]. given #8932 (H,wt=24): 9798 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6563(a,1),9797(a,1,2)),flip(a)]. given #8933 (H,wt=22): 9799 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(240,a,11,a(flip),b,9798,a)]. given #8934 (H,wt=22): 9800 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5191,a,9799,a)]. given #8935 (H,wt=31): 8474 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(8472(a,1),5218(a,1,1,1)),flip(a)]. given #8936 (H,wt=31): 8659 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(475(a,1),8656(a,1,2))]. given #8937 (H,wt=26): 9803 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(240,a,8215,a(flip),b,8659,a(flip))]. given #8938 (H,wt=21): 9805 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),9803(a,1,2))]. given #8939 (H,wt=21): 9806 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(240,a,7396,a,b,9805,a(flip)),flip(a)]. given #8940 (H,wt=23): 9807 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(9806(a,1),4800(a,2,2)),flip(a)]. given #8941 (H,wt=21): 9808 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4803,a,9807,a),flip(a)]. given #8942 (H,wt=23): 9809 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5078(a,1),9808(a,1,2,1)),flip(a)]. given #8943 (H,wt=31): 8690 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(6471(a,1),8689(a,2,1,2,1))]. given #8944 (H,wt=29): 9810 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(8089,a,8690,a)]. given #8945 (H,wt=27): 9811 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(240,a,8344,a(flip),b,9810,a(flip)),flip(a)]. given #8946 (H,wt=25): 9812 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(240,a,8691,a(flip),b,9811,a(flip))]. given #8947 (H,wt=23): 9813 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(240,a,8246,a(flip),b,9812,a)]. given #8948 (H,wt=21): 9814 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5501(a,1),9813(a,1,1))]. given #8949 (H,wt=21): 9815 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3197(a,1),9814(a,1,1))]. given #8950 (H,wt=21): 9816 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(240,a,8681,a(flip),b,9815,a)]. given #8951 (H,wt=17): 9817 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(8682,a,9816,a)]. given #8952 (H,wt=31): 9055 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(7761(a,1),8848(a,1,1,1,1,2)),flip(a)]. given #8953 (H,wt=23): 9818 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(240,a,8848,a(flip),b,9055,a)]. given #8954 (H,wt=21): 9819 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(121(a,1),9818(a,1,2,1,1,1)),flip(a)]. given #8955 (H,wt=31): 9308 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(475(a,1),9304(a,1,1))]. given #8956 (H,wt=26): 9820 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(240,a,8219,a(flip),b,9308,a(flip))]. given #8957 (H,wt=21): 9822 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),9820(a,1,1))]. given #8958 (H,wt=21): 9823 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(240,a,8103,a,b,9822,a(flip)),flip(a)]. given #8959 (H,wt=23): 9824 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(240,a,8832,a,b,9823,a(flip)),flip(a)]. given #8960 (H,wt=19): 9825 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(240,a,9582,a(flip),b,9824,a(flip)),flip(a)]. given #8961 (H,wt=17): 9827 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(240,a,8829,a(flip),b,9825,a(flip))]. given #8962 (H,wt=18): 9828 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(9825(a,2),8896(a,1))]. given #8963 (H,wt=16): 9830 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6459(a,1),9828(a,1))]. given #8964 (H,wt=21): 9829 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(9827(a,1),4836(a,2,2,2))]. given #8965 (H,wt=17): 9831 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(240,a,4836,a,b,9829,a)]. given #8966 (H,wt=19): 9832 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(240,a,9809,a(flip),b,9831,a(flip)),flip(a)]. given #8967 (H,wt=19): 9833 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(9146,a,9832,a)]. given #8968 (H,wt=31): 9484 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),9456(a,2,2))]. given #8969 (H,wt=29): 9835 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6170,a,9484,a)]. given #8970 (H,wt=25): 9836 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),9835(a,1,2))]. given #8971 (H,wt=25): 9837 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9189,a,9836,a)]. given #8972 (H,wt=31): 9544 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(9499(a,1),7545(a,1))]. given #8973 (H,wt=31): 9583 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(442(a,1),9580(a,1,2))]. given #8974 (H,wt=31): 9585 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(240,a,7405,a(flip),b,9584,a(flip))]. given #8975 (H,wt=31): 9789 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3654(a,1),8102(a,1,1))]. given #8976 (H,wt=25): 9838 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4813(a,1),9789(a,2,1))]. given #8977 (H,wt=21): 9839 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9625(a,1),9838(a,1,1))]. given #8978 (H,wt=25): 9840 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(240,a,7446,a,b,9839,a),flip(a)]. given #8979 (H,wt=17): 9841 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9674,a,9840,a)]. given #8980 (H,wt=31): 9801 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(4306(a,1),9800(a,1,2,2))]. given #8981 (H,wt=28): 9842 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7388(a,1),9801(a,1,1))]. given #8982 (H,wt=24): 9843 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4753(a,2),9842(a,1,2))]. given #8983 (H,wt=24): 9845 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6498(a,1),9843(a,1,1))]. given #8984 (H,wt=20): 9846 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(240,a,7088,a(flip),b,9845,a)]. given #8985 (H,wt=20): 9847 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2161,a,9846,a)]. given #8986 (H,wt=32): 7127 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(7094(a,1),3637(a,1,1,2))]. given #8987 (H,wt=19): 9849 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(240,a,4387,a(flip),b,7127,a(flip)),flip(a)]. given #8988 (H,wt=32): 7197 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(7108(a,1),5440(a,1,1,1,2))]. given #8989 (H,wt=32): 7986 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(7889(a,2),190(a,1,1,1))]. given #8990 (H,wt=28): 9851 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3039(a,1),7986(a,1,2,1)),flip(a)]. given #8991 (H,wt=24): 9852 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3039(a,1),9851(a,1,2)),flip(a)]. given #8992 (H,wt=32): 8199 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(8198(a,1),169(a,2,2))]. given #8993 (H,wt=15): 9856 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(240,a,9285,a(flip),b,8199,a)]. given #8994 (H,wt=13): 9858 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9625(a,1),9856(a,1,3))]. given #8995 (H,wt=19): 9859 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(9858(a,1),393(a,1,1)),flip(a)]. given #8996 (H,wt=20): 9860 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(9859(a,1),9644(a,1,1))]. given #8997 (H,wt=32): 8335 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(8041(a,2),7499(a,2,1))]. given #8998 (H,wt=27): 9862 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8809(a,1),8335(a,1,2))]. given #8999 (H,wt=27): 9863 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7491(a,1),9862(a,1,2))]. given #9000 (H,wt=25): 9865 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8041(a,1),9863(a,2,1))]. given #9001 (H,wt=24): 9866 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(240,a,9731,a(flip),b,9865,a(flip)),flip(a)]. given #9002 (H,wt=32): 8751 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(5691(a,1),7386(a,1,2,1))]. given #9003 (H,wt=28): 9867 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(7573(a,1),8751(a,1,2))]. given #9004 (H,wt=24): 9868 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(240,a,8440,a(flip),b,9867,a)]. given #9005 (H,wt=32): 8779 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8598(a,2,2))]. given #9006 (H,wt=28): 9870 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),8779(a,1,2,1))]. given #9007 (H,wt=23): 9872 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),9870(a,1,2))]. given #9008 (H,wt=20): 9873 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8197,a,9872,a)]. given #9009 (H,wt=17): 9874 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(240,a,7357,a(flip),b,9873,a)]. given #9010 (H,wt=17): 9876 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),9874(a,2,2,2))]. given #9011 (H,wt=12): 9879 K(x,L(y,z,K(u,x))) = K(x,y). [para(7059(a,1),9876(a,1,1)),flip(a)]. given #9012 (H,wt=14): 9877 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(240,a,6626,a(flip),b,9876,a(flip))]. given #9013 (H,wt=12): 9882 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(240,a,6297,a(flip),b,9877,a(flip)),flip(a)]. given #9014 (H,wt=12): 9884 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(37,a,9882,a)]. given #9015 (H,wt=12): 9885 K(x,a(y,z \ 1,z) \ 1) = 1. [para(4701(a,1),9882(a,1,2,1))]. given #9016 (H,wt=12): 9886 T(x,R(y,z,z \ 1) \ y) = x. [hyper(6166,a,9884,a)]. given #9017 (H,wt=18): 9880 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),9879(a,1,2))]. given #9018 (H,wt=19): 9881 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(9879(a,1),6661(a,1,2))]. given #9019 (H,wt=19): 9887 T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. [para(9885(a,1),4849(a,1,1,2))]. given #9020 (H,wt=21): 9888 x / (R(y,z,z \ 1) \ y) = (R(y,z,z \ 1) \ y) \ x. [hyper(7325,a,9886,a),flip(a)]. given #9021 (H,wt=23): 9891 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(9881(a,1),7567(a,1,1))]. given #9022 (H,wt=23): 9892 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7090(a,1),9891(a,1,1,2)),flip(a)]. given #9023 (H,wt=19): 9893 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(240,a,8381,a(flip),b,9892,a(flip))]. given #9024 (H,wt=19): 9894 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(5887,a,9893,a),flip(a)]. given #9025 (H,wt=17): 9896 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(240,a,7856,a(flip),b,9894,a)]. given #9026 (H,wt=15): 9898 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(9896(a,1),4838(a,1,1))]. given #9027 (H,wt=18): 9899 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(9896(a,1),4926(a,1,1))]. given #9028 (H,wt=20): 9897 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(9896(a,2),19(a,1))]. given #9029 (H,wt=25): 9895 K(x,y) * T(z,K(y,u / T(y,w))) = T(K(x,y) * z,K(y,y * u)). [hyper(240,a,7932,a(flip),b,9893,a(flip))]. given #9030 (H,wt=26): 9889 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(240,a,9583,a(flip),b,9880,a(flip)),flip(a)]. given #9031 (H,wt=22): 9902 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(240,a,8569,a(flip),b,9889,a(flip))]. given #9032 (H,wt=17): 9904 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),9902(a,2,2))]. given #9033 (H,wt=17): 9905 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5178(a,1),9904(a,1,2,2)),flip(a)]. given #9034 (H,wt=17): 9906 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5183(a,2),9904(a,1,2,2))]. given #9035 (H,wt=23): 9907 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(9905(a,1),5170(a,1,2,2)),flip(a)]. given #9036 (H,wt=17): 9908 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(240,a,5170,a(flip),b,9907,a)]. given #9037 (H,wt=15): 9909 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4769(a,1),9908(a,1,1,2)),flip(a)]. given #9038 (H,wt=27): 9890 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(240,a,9485,a,b,9881,a(flip)),flip(a)]. given #9039 (H,wt=27): 9900 K(x,y) * T(z,K(y,u / T(y,w))) = y * T(y \ (K(x,y) * z),K(y,u)). [hyper(240,a,8137,a,b,9895,a)]. given #9040 (H,wt=27): 9910 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(6997(a,2),9890(a,2,2))]. given #9041 (H,wt=21): 9912 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(7916,a,9910,a),flip(a)]. given #9042 (H,wt=25): 9913 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5178(a,1),9912(a,1,2,2))]. given #9043 (H,wt=25): 9914 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7726(a,1),9913(a,1,2))]. given #9044 (H,wt=29): 9878 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(4171(a,1),9876(a,1,1,2))]. given #9045 (H,wt=24): 9915 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6955,a,9878,a)]. given #9046 (H,wt=22): 9917 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(240,a,9909,a(flip),b,9915,a(flip))]. given #9047 (H,wt=32): 9137 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(3983(a,1),9106(a,1,1))]. given #9048 (H,wt=32): 9198 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(795(a,1),9172(a,1,2,2)),flip(a)]. given #9049 (H,wt=30): 9919 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(240,a,8353,a(flip),b,9198,a)]. given #9050 (H,wt=32): 9229 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9228(a,2),188(a,1,2,2))]. given #9051 (H,wt=28): 9920 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(122(a,1),9229(a,1,2))]. given #9052 (H,wt=28): 9921 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9409,a,9920,a)]. given #9053 (H,wt=28): 9922 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9436,a,9921,a)]. given #9054 (H,wt=24): 9923 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),9922(a,1,2,1)),flip(a)]. given #9055 (H,wt=19): 9924 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(240,a,8573,a(flip),b,9923,a)]. given #9056 (H,wt=23): 9925 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(176(a,1),9924(a,1,2)),flip(a)]. given #9057 (H,wt=32): 9230 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9228(a,2),448(a,2,2))]. given #9058 (H,wt=26): 9926 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(9924(a,1),9230(a,1,2))]. given #9059 (H,wt=19): 9927 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(240,a,7121,a(flip),b,9926,a(flip))]. given #9060 (H,wt=15): 9928 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(231,a,9927,a)]. given #9061 (H,wt=15): 9929 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(75,a,9927,a(flip),b,122,a(flip))]. given #9062 (H,wt=15): 9930 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(75,a,16,a(flip),b,9928,a),flip(a)]. given #9063 (H,wt=17): 9935 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),9930(a,1,1,2))]. given #9064 (H,wt=17): 9936 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),9930(a,1,1,2))]. given #9065 (H,wt=18): 9937 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(9930(a,1),7733(a,1,2))]. given #9066 (H,wt=18): 9938 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(9930(a,1),7736(a,1,1))]. given #9067 (H,wt=18): 9941 K(x,y / ((x \ z) * x)) != u | K(x,y / z) = u. [para(9935(a,1),7733(a,1,2))]. given #9068 (H,wt=19): 9940 (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). [para(9935(a,1),7119(a,1,1))]. given #9069 (H,wt=19): 9943 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(240,a,8870,a,b,9936,a(flip)),flip(a)]. given #9070 (H,wt=19): 9946 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(9943(a,1),65(a,1,1)),flip(a)]. given #9071 (H,wt=21): 9934 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7487(a,1),9929(a,2,2))]. given #9072 (H,wt=22): 9944 K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. [para(6572(a,1),9937(a,1))]. given #9073 (H,wt=23): 9942 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(9935(a,1),9560(a,1,2,2))]. given #9074 (H,wt=23): 9945 (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). [para(13(a,1),9940(a,1,1,2,1))]. given #9075 (H,wt=19): 9948 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [para(13(a,1),9945(a,1,2)),flip(a)]. given #9076 (H,wt=23): 9947 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(9946(a,2),2885(a,2,1))]. given #9077 (H,wt=24): 9932 (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,y). [para(9928(a,1),24(a,2,1)),flip(a)]. given #9078 (H,wt=25): 9939 (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). [para(5034(a,1),9935(a,2,2))]. given #9079 (H,wt=23): 9949 x / ((y / z) * K(z \ 1,y)) = (x / (y / z)) * K(y,z \ 1). [para(6119(a,1),9939(a,1,2)),flip(a)]. given #9080 (H,wt=32): 9231 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(626(a,1),9220(a,1,2)),flip(a)]. given #9081 (H,wt=28): 9951 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(240,a,3455,a(flip),b,9231,a)]. given #9082 (H,wt=25): 9952 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(626(a,1),9951(a,1,2))]. given #9083 (H,wt=21): 9953 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6220,a,9952,a),flip(a)]. given #9084 (H,wt=21): 9954 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(240,a,9027,a(flip),b,9953,a)]. given #9085 (H,wt=32): 9404 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(9368(a,1),7945(a,2,2))]. given #9086 (H,wt=30): 9955 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(6432(a,1),9404(a,1,2))]. given #9087 (H,wt=30): 9956 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(240,a,8719,a(flip),b,9955,a(flip)),flip(a)]. given #9088 (H,wt=32): 9697 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(240,a,191,a(flip),b,9696,a)]. given #9089 (H,wt=25): 9957 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(122(a,1),9697(a,1,1))]. given #9090 (H,wt=32): 9782 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(9781(a,1),8465(a,2,1))]. given #9091 (H,wt=30): 9958 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(9777(a,1),9782(a,1,2,1))]. given #9092 (H,wt=32): 9802 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(8719(a,1),9800(a,1,1))]. given #9093 (H,wt=32): 9911 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(6490(a,2),9900(a,2,2,1))]. given #9094 (H,wt=32): 9918 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(7302,a,9137,a),flip(a)]. given #9095 (H,wt=27): 9963 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(240,a,9329,a(flip),b,9918,a)]. given #9096 (H,wt=25): 9965 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(240,a,7606,a(flip),b,9963,a)]. given #9097 (H,wt=32): 9961 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(6964(a,2),9802(a,1,2,2,1))]. given #9098 (H,wt=32): 9962 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),9911(a,2,2))]. given #9099 (H,wt=23): 9967 T(x,K(y,z / T(y,u))) = T(y,w) * T(T(y,w) \ x,K(y,z)). [hyper(4834,a,9962,a),flip(a)]. given #9100 (H,wt=21): 9968 T(x,y) \ T(z,K(x,x * u)) = T(T(x,y) \ z,K(x,u)). [hyper(73,a,7932,a(flip),b,9967,a(flip))]. given #9101 (H,wt=19): 9969 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [para(7832(a,1),9968(a,1,2))]. given #9102 (H,wt=32): 9966 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(5183(a,1),9961(a,1,2))]. given #9103 (H,wt=33): 9233 K(x,y \ 1) * T((x \ (y \ x)) * z,K(y \ x,x)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9232(a,2),5556(a,1,2))]. given #9104 (H,wt=31): 9972 K(x,y \ 1) * T((x \ (y \ x)) * z,K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(8019(a,1),9233(a,1,2))]. given #9105 (H,wt=31): 9973 T(K(x,y \ 1) * ((x \ (y \ x)) * z),K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [hyper(240,a,8833,a,b,9972,a(flip)),flip(a)]. given #9106 (H,wt=25): 9974 ((x \ y) / y) * T(z,K(x \ y,y)) = T(((x \ y) / y) * z,K(y,x)). [para(5556(a,1),9973(a,1,1)),flip(a)]. given #9107 (H,wt=23): 9975 T(((x \ y) / y) * z,K(y,x)) = ((x \ y) / y) * T(z,K(y,x)). [para(8019(a,1),9974(a,1,2)),flip(a)]. given #9108 (H,wt=27): 9976 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(x,x / y)). [para(65(a,1),9975(a,2,1,1))]. given #9109 (H,wt=25): 9977 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(y,x)). [para(8023(a,1),9976(a,2,2))]. given #9110 (H,wt=21): 9978 T((x / y) * z,K(y,y / x)) = (x / y) * T(z,K(x,y)). [para(65(a,1),9977(a,1,1,1,1))]. given #9111 (H,wt=22): 9979 (x / y) * T(z,K(x,y)) != u | T((x / y) * z,K(x,y)) = u. [para(9978(a,1),8083(a,1))]. given #9112 (H,wt=33): 9309 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9305(a,1),8737(a,1,2,1,2,2)),flip(a)]. given #9113 (H,wt=23): 9980 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(240,a,8737,a(flip),b,9309,a)]. given #9114 (H,wt=25): 9981 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(7661(a,1),9980(a,1,2,1,2,1))]. given #9115 (H,wt=23): 9982 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(240,a,9784,a(flip),b,9981,a(flip))]. given #9116 (H,wt=33): 9461 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9444(a,1),6012(a,1,2))]. given #9117 (H,wt=29): 9984 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(14(a,1),9461(a,1,2,2,1))]. given #9118 (H,wt=21): 9985 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6026,a,9984,a),flip(a)]. given #9119 (H,wt=15): 9987 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(9985(a,1),9510(a,1,2))]. given #9120 (H,wt=15): 9988 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(123(a,1),9987(a,1,2,2))]. given #9121 (H,wt=32): 9989 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(6174,a,9988,a),flip(a)]. given #9122 (H,wt=33): 9647 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9634(a,2),772(a,1,2,2,2))]. given #9123 (H,wt=33): 9671 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9670(a,1),9103(a,1,1))]. given #9124 (H,wt=28): 9990 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9366,a,9671,a),flip(a)]. given #9125 (H,wt=24): 9991 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5427,a,9990,a)]. given #9126 (H,wt=24): 9992 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9476,a,9991,a)]. given #9127 (H,wt=21): 9993 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(399(a,1),9992(a,1,2,1,2))]. given #9128 (H,wt=21): 9994 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,9440,a(flip),b,9993,a)]. given #9129 (H,wt=23): 9995 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9994(a,1,2,2))]. given #9130 (H,wt=21): 9996 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8211,a,9995,a)]. given #9131 (H,wt=19): 9997 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,9993,a(flip),b,9996,a(flip)),flip(a)]. given #9132 (H,wt=17): 10000 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),9997(a,2,2,1))]. given #9133 (H,wt=19): 9999 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,8502,a,b,9997,a(flip)),flip(a)]. given #9134 (H,wt=24): 9998 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(240,a,8527,a,b,9997,a(flip)),flip(a)]. given #9135 (H,wt=25): 10001 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4811(a,1),9997(a,1,2,1)),flip(a)]. given #9136 (H,wt=27): 10004 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5218(a,2),10001(a,1,2,1,1))]. given #9137 (H,wt=27): 10005 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(240,a,5522,a,b,10004,a(flip)),flip(a)]. given #9138 (H,wt=28): 10002 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9997(a,1),8565(a,1,1))]. given #9139 (H,wt=23): 10006 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(240,a,9998,a(flip),b,10002,a(flip))]. given #9140 (H,wt=31): 10003 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) != v5 | K(x,(u * (y * (z / x))) \ w) = v5. [para(9999(a,1),9363(a,1,1))]. given #9141 (H,wt=31): 10007 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(240,a,9585,a(flip),b,10006,a(flip)),flip(a)]. given #9142 (H,wt=27): 10008 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(240,a,7404,a,b,10007,a(flip))]. given #9143 (H,wt=25): 10009 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(240,a,8822,a(flip),b,10008,a)]. given #9144 (H,wt=25): 10010 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10009(a,1,2,1)),flip(a)]. given #9145 (H,wt=21): 10011 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(240,a,7024,a(flip),b,10010,a(flip))]. given #9146 (H,wt=19): 10012 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(240,a,6111,a(flip),b,10011,a)]. given #9147 (H,wt=15): 10013 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5024,a,10012,a),flip(a)]. given #9148 (H,wt=15): 10014 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(240,a,8526,a(flip),b,10012,a(flip))]. given #9149 (H,wt=13): 10018 K(x,(x \ 1) * y) = K(x,x \ y). [para(51(a,1),10014(a,1,2))]. given #9150 (H,wt=16): 10017 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8708,a,10014,a)]. given #9151 (H,wt=14): 10021 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10017(a,1,3))]. given #9152 (H,wt=10): 10022 a(x,y,K(z,z \ y)) = 1. [hyper(34,a,10021,a)]. given #9153 (H,wt=10): 10024 a(x,y,K(z \ y,z)) = 1. [para(5771(a,1),10022(a,1,3))]. given #9154 (H,wt=14): 10025 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10024,a)]. given #9155 (H,wt=15): 10026 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9188,a,10025,a)]. given #9156 (H,wt=15): 10027 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6380,a,10025,a)]. given #9157 (H,wt=15): 10031 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10026(a,1,1,2,2))]. given #9158 (H,wt=15): 10033 K(x \ ((y / x) \ z),x) = K(y \ z,x). [para(16(a,1),10027(a,1,1,1)),flip(a)]. given #9159 (H,wt=15): 10034 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(240,a,9150,a(flip),b,10031,a(flip))]. given #9160 (H,wt=17): 10032 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10026(a,1),9193(a,1,2))]. given #9161 (H,wt=10): 10039 R(x,y,K(z \ y,z)) = x. [hyper(779,a,10032,a)]. given #9162 (H,wt=10): 10043 R(x,y * z,K(z,y)) = x. [para(13(a,1),10039(a,1,3,1))]. given #9163 (H,wt=11): 10044 R(x,y,T(z,y)) = R(x,y,z). [hyper(6409,a,10043,a)]. given #9164 (H,wt=13): 10047 R(x,y,z / y) = R(x,y,y \ z). [para(124(a,1),10044(a,1,3)),flip(a)]. given #9165 (H,wt=14): 10050 R(1 / x,x,y / x) = (x \ y) / y. [hyper(240,a,362,a(flip),b,10047,a)]. given #9166 (H,wt=15): 10045 (x * (y * z)) * K(z,y) = x * (z * y). [para(10043(a,1),481(a,1,1)),flip(a)]. given #9167 (H,wt=10): 10053 K(x,L(y,x,z)) = K(x,y). [hyper(7251,a,10045,a)]. given #9168 (H,wt=10): 10057 K(L(x,y,z),y) = K(x,y). [hyper(8612,a,10053,a)]. given #9169 (H,wt=12): 10058 L(K(x,y),z,y * x) = K(x,y). [hyper(240,a,9925,a(flip),b,10053,a(flip)),flip(a)]. given #9170 (H,wt=10): 10068 K(x,R(y,x,z)) = K(x,y). [hyper(240,a,9589,a(flip),b,10058,a(flip)),flip(a)]. given #9171 (H,wt=10): 10070 K(R(x,y,z),y) = K(x,y). [hyper(9830,a,10068,a)]. given #9172 (H,wt=12): 10060 T(x,L(y,x,z)) = x * K(x,y). [para(10053(a,1),4800(a,2,2))]. given #9173 (H,wt=10): 10079 T(x,L(y,x,z)) = T(x,y). [hyper(240,a,4800,a,b,10060,a)]. given #9174 (H,wt=12): 10065 K(L(x,y,z),y) = y / T(y,x). [hyper(240,a,4750,a(flip),b,10057,a)]. given #9175 (H,wt=12): 10075 T(x,R(y,x,z)) = x * K(x,y). [para(10068(a,1),4800(a,2,2))]. given #9176 (H,wt=10): 10089 T(x,R(y,x,z)) = T(x,y). [hyper(240,a,4800,a,b,10075,a)]. given #9177 (H,wt=13): 10080 T(x,L(y,x,z)) != u | T(x,y) = u. [para(10060(a,2),4803(a,1))]. given #9178 (H,wt=13): 10088 K(L(x,y,z),y) != u | K(x,y) = u. [para(10065(a,2),4833(a,1))]. given #9179 (H,wt=13): 10098 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8599(a,1),10088(a,1))]. given #9180 (H,wt=15): 10049 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(6964(a,2),10044(a,1,3))]. given #9181 (H,wt=15): 10051 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(496,a,10050,a)]. given #9182 (H,wt=15): 10054 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(307,a,10045,a),flip(a)]. given #9183 (H,wt=15): 10059 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(240,a,8533,a(flip),b,10053,a(flip)),flip(a)]. given #9184 (H,wt=15): 10082 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(240,a,7448,a(flip),b,10079,a(flip)),flip(a)]. given #9185 (H,wt=15): 10083 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10079(a,1),122(a,1,2))]. given #9186 (H,wt=15): 10100 K(x,y) != z | K(R(x,x \ 1,u),y) = z. [para(8969(a,1),10098(a,1))]. given #9187 (H,wt=15): 10101 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(9925(a,1),10098(a,1))]. given #9188 (H,wt=13): 10109 K(x,R(y,x,z)) != u | K(x,y) = u. [para(9589(a,1),10101(a,1))]. given #9189 (H,wt=13): 10110 K(R(x,y,z),y) != u | K(x,y) = u. [para(8831(a,2),10109(a,1))]. given #9190 (H,wt=15): 10104 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(57(a,1),10059(a,1,2,2)),flip(a)]. given #9191 (H,wt=15): 10107 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [para(14(a,1),10082(a,1,2,2,2))]. given #9192 (H,wt=16): 10048 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10044(a,1),470(a,1,1))]. given #9193 (H,wt=16): 10073 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10068(a,1,2))]. given #9194 (H,wt=16): 10114 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(75,a,92,a(flip),b,10048,a)]. given #9195 (H,wt=17): 10040 (x * K(y \ z,y)) / ((y \ z) * y) = x / z. [hyper(558,a,10032,a)]. given #9196 (H,wt=15): 10119 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4735(a,2),10040(a,1,1))]. given #9197 (H,wt=15): 10120 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(10119(a,1),65(a,1,1))]. given #9198 (H,wt=17): 10072 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(240,a,8950,a,b,10068,a(flip)),flip(a)]. given #9199 (H,wt=17): 10074 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(575(a,1),10068(a,1,2)),flip(a)]. given #9200 (H,wt=17): 10077 K(x / (1 / y),1 / y) = K(x * y,1 / y). [para(575(a,1),10070(a,1,1)),flip(a)]. given #9201 (H,wt=17): 10105 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10059(a,1),8269(a,1,2))]. given #9202 (H,wt=17): 10112 T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). [hyper(9139,a,10107,a),flip(a)]. given #9203 (H,wt=18): 10015 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10012(a,1),5024(a,1))]. given #9204 (H,wt=18): 10055 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(10045(a,1),241(a,1,2)),flip(b)]. given #9205 (H,wt=18): 10056 ((x * y) * z) * K(z,y) = R(x,y,z) * (z * y). [para(118(a,1),10045(a,1,1))]. given #9206 (H,wt=18): 10087 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10079(a,1),9465(a,1,1,2)),flip(a)]. given #9207 (H,wt=11): 10128 L(x,T(y,x),z) = L(x,y,z). [hyper(240,a,28,a,b,10087,a),flip(a)]. given #9208 (H,wt=13): 10131 L(x,y / x,z) = L(x,x \ y,z). [para(124(a,1),10128(a,1,2)),flip(a)]. given #9209 (H,wt=16): 10133 (x * y) / L(z,z \ y,x) = x * (y / z). [para(10131(a,1),501(a,1,2))]. given #9210 (H,wt=18): 10134 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10131(a,1),6288(a,1,1))]. given #9211 (H,wt=18): 10136 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [para(10133(a,1),236(a,1,1)),flip(a)]. given #9212 (H,wt=19): 10016 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10013(a,1),7098(a,1,1,2))]. given #9213 (H,wt=15): 10137 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(7112,a,10016,a),flip(a)]. given #9214 (H,wt=13): 10139 K(x * (y \ 1),y) = K(y \ x,y). [para(12(a,1),10137(a,1,1,2)),flip(a)]. given #9215 (H,wt=15): 10140 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),10137(a,2,1,2))]. given #9216 (H,wt=15): 10141 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10137(a,1,1,2)),flip(a)]. given #9217 (H,wt=15): 10143 x * K(x * (y \ 1),y) = (y \ x) * y. [para(10139(a,2),263(a,1,2))]. given #9218 (H,wt=17): 10142 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5426,a,10139,a),flip(a)]. given #9219 (H,wt=15): 10145 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(240,a,8980,a(flip),b,10142,a(flip))]. given #9220 (H,wt=17): 10146 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(10145(a,1),4849(a,1,1,2))]. given #9221 (H,wt=15): 10147 T(x / (x / (y \ 1)),x * y) = y \ 1. [para(8984(a,1),10146(a,1,1))]. given #9222 (H,wt=18): 10138 K(x \ (y * z),x) != u | K(y * (x \ z),x) = u. [para(10016(a,1),7112(a,1))]. given #9223 (H,wt=19): 10023 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(240,a,6672,a(flip),b,10021,a(flip))]. given #9224 (H,wt=19): 10029 K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). [hyper(240,a,6263,a(flip),b,10025,a(flip))]. given #9225 (H,wt=19): 10035 K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). [para(5557(a,1),10033(a,1,1))]. given #9226 (H,wt=19): 10038 T(x,x \ ((x \ y) \ z)) = 1 / (x \ K(y \ z,x)). [para(10034(a,1),4836(a,2,2,2))]. given #9227 (H,wt=15): 10156 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [hyper(240,a,4836,a,b,10038,a)]. given #9228 (H,wt=19): 10069 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10058(a,1),9539(a,1,1))]. given #9229 (H,wt=15): 10159 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(240,a,9595,a(flip),b,10069,a)]. given #9230 (H,wt=13): 10165 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(164,a,10159,a),flip(a)]. given #9231 (H,wt=15): 10160 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(73,a,9595,a(flip),b,10069,a)]. given #9232 (H,wt=15): 10162 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(555,a,10159,a)]. given #9233 (H,wt=15): 10163 (K(x,y) * z) / ((y * x) \ z) = x * y. [hyper(533,a,10159,a)]. given #9234 (H,wt=15): 10164 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(310,a,10159,a),flip(a)]. given #9235 (H,wt=15): 10175 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(73,a,10165,a,b,93,a(flip)),flip(a)]. given #9236 (H,wt=15): 10178 (x * y) * ((y * x) \ y) = y * K(x,y). [hyper(240,a,3191,a(flip),b,10164,a)]. given #9237 (H,wt=17): 10166 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),10159(a,1,2,1))]. given #9238 (H,wt=17): 10167 K(x,y / x) * (y * z) = (x * (y / x)) * z. [para(16(a,1),10159(a,1,2,1))]. given #9239 (H,wt=17): 10181 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(262,a,10178,a)]. given #9240 (H,wt=15): 10188 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4913(a,2),10181(a,1,2)),flip(a)]. given #9241 (H,wt=15): 10189 x * ((y * (x / y)) \ y) = x / (x / y). [para(10188(a,2),14(a,1,2))]. given #9242 (H,wt=17): 10187 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(4959(a,1),10167(a,1,1))]. given #9243 (H,wt=18): 10172 (x * y) \ ((x * y) * z) = L(z,y * x,K(x,y)). [para(10159(a,1),4908(a,1,2))]. given #9244 (H,wt=10): 10190 L(x,y * z,K(z,y)) = x. [hyper(242,a,10172,a),flip(a)]. given #9245 (H,wt=10): 10194 L(x,y,K(z \ y,z)) = x. [para(14(a,1),10190(a,1,2))]. given #9246 (H,wt=10): 10196 L(x,y,K(z,z \ y)) = x. [para(4995(a,1),10194(a,1,3))]. given #9247 (H,wt=11): 10191 L(x,T(y,z),z) = L(x,y,z). [hyper(6368,a,10190,a)]. given #9248 (H,wt=12): 10195 L(x,T(y,z) * z,K(z,y)) = x. [para(4956(a,1),10190(a,1,3))]. given #9249 (H,wt=11): 10204 L(x,y,T(z,y)) = L(x,y,z). [hyper(6634,a,10195,a),flip(a)]. given #9250 (H,wt=13): 10199 L(x,y / z,z) = L(x,z \ y,z). [para(124(a,1),10191(a,1,2)),flip(a)]. given #9251 (H,wt=13): 10206 L(x,y,z / y) = L(x,y,y \ z). [para(124(a,1),10204(a,1,3)),flip(a)]. given #9252 (H,wt=14): 10210 L(x \ y,x,x \ y) = T(y / x,y). [hyper(716,a,10206,a),flip(a)]. given #9253 (H,wt=16): 10193 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(240,a,6367,a(flip),b,10190,a(flip))]. given #9254 (H,wt=16): 10198 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(240,a,462,a(flip),b,10191,a(flip))]. given #9255 (H,wt=16): 10202 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(10191(a,1),448(a,1,2))]. given #9256 (H,wt=16): 10211 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(240,a,109,a,b,10206,a(flip)),flip(a)]. given #9257 (H,wt=16): 10216 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(10193(a,2),62(a,1,2))]. given #9258 (H,wt=17): 10200 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(123(a,1),10191(a,1,2))]. given #9259 (H,wt=17): 10203 L(x,T(y,K(z,u)),z) = L(x,T(y,T(z,u)),z). [para(6891(a,1),10191(a,1,2)),flip(a)]. given #9260 (H,wt=13): 10219 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(240,a,8749,a(flip),b,10203,a(flip))]. given #9261 (H,wt=17): 10205 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(1920,a,10204,a)]. given #9262 (H,wt=17): 10207 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [hyper(240,a,10204,a,b,10199,a),flip(a)]. given #9263 (H,wt=17): 10212 L(x \ y,x,x \ y) != z | T(y / x,y) = z. [para(10206(a,1),716(a,1))]. given #9264 (H,wt=17): 10220 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(124(a,1),10219(a,1,2)),flip(a)]. given #9265 (H,wt=15): 10222 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(240,a,9239,a(flip),b,10220,a)]. given #9266 (H,wt=18): 10217 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5082(a,1),10193(a,2,2,2)),flip(a)]. given #9267 (H,wt=19): 10085 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(454(a,1),10079(a,1,2)),flip(a)]. given #9268 (H,wt=19): 10099 K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(45(a,1),10098(a,1,2))]. given #9269 (H,wt=19): 10125 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(10077(a,1),5006(a,1,2)),flip(a)]. given #9270 (H,wt=19): 10149 K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). [hyper(7811,a,10029,a)]. given #9271 (H,wt=19): 10150 K(x / (y \ z),y \ z) = K(z \ (y * x),y \ z). [hyper(5598,a,10029,a)]. given #9272 (H,wt=19): 10155 K((x / y) \ z,x / y) = K(x \ (y * z),x / y). [hyper(8074,a,10035,a)]. given #9273 (H,wt=19): 10158 (x * y) \ (K(y,x) * z) = K(y,x) * ((x * y) \ z). [hyper(555,a,10069,a)]. given #9274 (H,wt=19): 10173 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(10159(a,1),8433(a,1,2,2)),flip(a)]. given #9275 (H,wt=17): 10228 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(240,a,8800,a(flip),b,10173,a)]. given #9276 (H,wt=19): 10182 K(x \ y,x) * (z * y) = ((x \ y) * x) * T(z,y). [hyper(544,a,10166,a)]. given #9277 (H,wt=19): 10184 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(73,a,10166,a(flip),b,5250,a)]. given #9278 (H,wt=19): 10224 T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). [hyper(240,a,6819,a,b,10085,a(flip)),flip(a)]. given #9279 (H,wt=20): 10062 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10053(a,1),8726(a,1,1))]. given #9280 (H,wt=16): 10230 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(240,a,8724,a(flip),b,10062,a(flip))]. given #9281 (H,wt=20): 10078 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(10070(a,1),5135(a,1,1))]. given #9282 (H,wt=19): 10234 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(240,a,4332,a(flip),b,10078,a(flip))]. given #9283 (H,wt=17): 10236 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1304(a,1),10234(a,1,2,1))]. given #9284 (H,wt=17): 10237 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(10236(a,1),65(a,1,1)),flip(a)]. given #9285 (H,wt=17): 10239 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(81,a,10237,a)]. given #9286 (H,wt=20): 10111 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8950(a,2),10109(a,1))]. given #9287 (H,wt=20): 10113 T(x,x \ (((x \ y) * z) \ y)) != u | T(x,z \ 1) = u. [para(10107(a,1),9139(a,1))]. given #9288 (H,wt=20): 10117 R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. [para(14(a,1),10114(a,1,2)),flip(a)]. given #9289 (H,wt=20): 10118 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9134(a,1),10114(a,1,1)),flip(a)]. given #9290 (H,wt=18): 10241 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9627(a,1),10118(a,1,1)),flip(a)]. given #9291 (H,wt=20): 10169 (x * y) * ((y * x) \ 1) != z * u | z \ K(x,y) = u. [para(10159(a,1),374(a,1))]. given #9292 (H,wt=20): 10185 ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. [para(10166(a,1),310(a,1))]. given #9293 (H,wt=17): 10242 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(10185,a,9667,a),flip(a)]. given #9294 (H,wt=15): 10243 (x * (y / x)) \ 1 = y \ K(x \ y,x). [hyper(73,a,12,a(flip),b,10242,a),flip(a)]. given #9295 (H,wt=17): 10244 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(10139(a,2),10243(a,2,2)),flip(a)]. given #9296 (H,wt=20): 10197 (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),x,y). [hyper(240,a,684,a,b,10191,a(flip)),flip(a)]. given #9297 (H,wt=20): 10208 L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). [hyper(240,a,108,a(flip),b,10199,a(flip))]. given #9298 (H,wt=20): 10218 L(x \ T(y,z / x),x,x \ z) = z \ (y * (z / x)). [para(180(a,1),10211(a,1,2)),flip(a)]. given #9299 (H,wt=20): 10231 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10062(a,2),7373(a,1))]. given #9300 (H,wt=18): 10247 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(121(a,1),10231(a,1,2,1))]. given #9301 (H,wt=18): 10249 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(14(a,1),10247(a,1,2))]. given #9302 (H,wt=19): 10248 K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10062(a,1),10231(a,1))]. given #9303 (H,wt=20): 10250 L(K(x,y / z),y,u) != w | K(x,L(y / z,z,u)) = w. [para(16(a,1),10247(a,1,2))]. given #9304 (H,wt=21): 10020 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10018(a,2),9387(a,1,1,2))]. given #9305 (H,wt=21): 10052 K(x,T(y,z * (y * x))) * (z * (y * x)) = z * (x * y). [hyper(7614,a,10045,a)]. given #9306 (H,wt=17): 10253 K(x,T(y,z)) * (z * (y * x)) = z * (x * y). [para(8820(a,1),10052(a,1,1))]. given #9307 (H,wt=21): 10124 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10074(a,1),8356(a,1,2,2))]. given #9308 (H,wt=17): 10254 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(240,a,8356,a(flip),b,10124,a(flip))]. given #9309 (H,wt=19): 10255 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(240,a,8330,a(flip),b,10254,a(flip))]. given #9310 (H,wt=17): 10256 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(240,a,6211,a(flip),b,10255,a(flip))]. given #9311 (H,wt=21): 10148 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(10023(a,1),4976(a,1,2))]. given #9312 (H,wt=21): 10153 x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). [para(10029(a,1),263(a,1,2))]. given #9313 (H,wt=21): 10180 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6115(a,1),10175(a,2,2))]. given #9314 (H,wt=21): 10183 ((x \ y) * x) * T(z,T(y,x)) = (z * y) * K(x \ y,x). [hyper(240,a,8306,a(flip),b,10166,a(flip))]. given #9315 (H,wt=13): 10259 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(182,a,10032,a(flip),b,10183,a)]. given #9316 (H,wt=13): 10260 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),10259(a,1,2,1)),flip(a)]. given #9317 (H,wt=14): 10261 T(x,(x \ y) * x) != z | T(x,y) = z. [para(10259(a,2),3987(a,1))]. given #9318 (H,wt=15): 10264 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(240,a,4800,a(flip),b,10260,a)]. given #9319 (H,wt=13): 10265 K(T(x,y),z * y) = K(x,y * z). [hyper(7893,a,10264,a),flip(a)]. given #9320 (H,wt=13): 10266 T(K(x,y * z),y) = K(x,z * y). [hyper(7038,a,10264,a)]. given #9321 (H,wt=13): 10267 K(x,T(y * z,y)) = K(x,z * y). [hyper(4858,a,10264,a)]. given #9322 (H,wt=13): 10270 K(x,T(y * z,z)) = K(x,z * y). [hyper(7302,a,10265,a)]. given #9323 (H,wt=13): 10275 K(T(x,y),y * z) = K(x,z * y). [hyper(7255,a,10266,a)]. given #9324 (H,wt=13): 10281 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),10267(a,1,2,1)),flip(a)]. given #9325 (H,wt=13): 10284 K(x,T((y \ z) * y,y)) = K(x,z). [para(14(a,1),10270(a,2,2))]. given #9326 (H,wt=15): 10269 K(x / y,z * y) = K(y \ x,y * z). [hyper(8061,a,10265,a)]. given #9327 (H,wt=15): 10271 K(x / y,x * z) = K(y \ x,z * x). [hyper(240,a,7145,a(flip),b,10265,a(flip))]. given #9328 (H,wt=15): 10272 K(x / y,y * z) = K(y \ x,z * y). [para(124(a,1),10265(a,1,1)),flip(a)]. given #9329 (H,wt=15): 10274 K(x,y * z) * y = y * K(x,z * y). [para(10265(a,1),7640(a,1,1))]. given #9330 (H,wt=15): 10282 K(x,T(y * z,z)) = K(x,T(y,z) * z). [para(122(a,1),10267(a,1,2,1))]. given #9331 (H,wt=13): 10293 K(x,T(y,z) * z) = K(x,z * y). [hyper(240,a,10270,a(flip),b,10282,a(flip))]. given #9332 (H,wt=16): 10268 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(10264(a,2),4803(a,1))]. given #9333 (H,wt=16): 10277 K(x,y * z) != u | K(x,T(z * y,z)) = u. [para(10266(a,1),7299(a,1))]. given #9334 (H,wt=16): 10280 K(x,L(y \ 1,y,z) \ z) = K(x,y * z). [hyper(7309,a,10267,a)]. given #9335 (H,wt=16): 10285 T(K(x,y * z),y) != u | K(x,z * y) = u. [para(10270(a,1),7645(a,1,1))]. given #9336 (H,wt=16): 10296 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(6964(a,2),10285(a,1))]. given #9337 (H,wt=16): 10297 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(8040(a,2),10296(a,1))]. given #9338 (H,wt=16): 10299 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(10282(a,1),10297(a,1))]. given #9339 (H,wt=17): 10262 T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). [para(4531(a,1),10259(a,1,2)),flip(a)]. given #9340 (H,wt=13): 10300 T(x,T(y * z,z)) = T(x,z * y). [hyper(9142,a,10262,a),flip(a)]. given #9341 (H,wt=13): 10303 T(x,y * (z / y)) = T(x,T(z,y)). [para(16(a,1),10300(a,1,2,1)),flip(a)]. given #9342 (H,wt=15): 10305 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(4120(a,2),10303(a,1,2)),flip(a)]. given #9343 (H,wt=13): 10307 T(x,T(y,z) * z) = T(x,z * y). [hyper(10268,a,10305,a),flip(a)]. given #9344 (H,wt=16): 10302 T(x,T(y * z,z)) != u | T(x,z * y) = u. [para(10262(a,1),9142(a,1))]. given #9345 (H,wt=16): 10308 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(10305(a,1),10268(a,1))]. given #9346 (H,wt=17): 10263 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(7891,a,10260,a)]. given #9347 (H,wt=17): 10273 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(273(a,1),10265(a,1,1)),flip(a)]. given #9348 (H,wt=16): 10313 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10273(a,1),9717(a,1,2))]. given #9349 (H,wt=17): 10279 K(x \ (y \ x),x * z) = K(y \ 1,z * x). [hyper(8052,a,10267,a)]. given #9350 (H,wt=17): 10289 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4531(a,1),10281(a,1,2)),flip(a)]. given #9351 (H,wt=17): 10290 K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). [para(4531(a,1),10284(a,1,2,1))]. given #9352 (H,wt=17): 10314 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(106(a,1),10313(a,1,2,2))]. given #9353 (H,wt=18): 10286 K(x / y,y * z) != u | K(y \ x,z * y) = u. [para(10270(a,1),7783(a,1))]. given #9354 (H,wt=18): 10291 K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. [para(10269(a,1),5406(a,1))]. given #9355 (H,wt=18): 10294 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(7834(a,2),10268(a,1))]. given #9356 (H,wt=15): 10317 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(10294,a,7564,a),flip(a)]. given #9357 (H,wt=15): 10321 T(T(x,K(y,z)),y * z) = T(x,z * y). [hyper(421,a,10317,a)]. given #9358 (H,wt=18): 10315 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(10289(a,1),4989(a,1))]. given #9359 (H,wt=18): 10318 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(3195(a,1),10294(a,1,1))]. given #9360 (H,wt=18): 10320 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(7564(a,1),10294(a,1))]. given #9361 (H,wt=19): 10287 T(x,K(y,z)) * K(z * x,y) = x / K(y,x * z). [para(10270(a,1),8693(a,1,2)),flip(a)]. given #9362 (H,wt=19): 10301 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(10262(a,1),7004(a,1,2))]. given #9363 (H,wt=17): 10323 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(240,a,9817,a(flip),b,10301,a)]. given #9364 (H,wt=19): 10306 T(x,y * K(z \ 1,y * z)) = T(x,T(y,z \ 1)). [para(5843(a,1),10303(a,1,2))]. given #9365 (H,wt=17): 10325 T(x,y * K(z \ 1,y * z)) = T(x,T(y,z)). [hyper(240,a,8012,a(flip),b,10306,a)]. given #9366 (H,wt=17): 10326 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(10325(a,1),8438(a,1,2))]. given #9367 (H,wt=19): 10316 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(9562(a,1),10314(a,1,2)),flip(a)]. given #9368 (H,wt=19): 10322 T(x,K(y,z)) * K(z * x,y) = x * K(x * z,y). [hyper(240,a,7094,a(flip),b,10287,a)]. given #9369 (H,wt=15): 10328 K(x * y,z) * y = y * K(y * x,z). [hyper(8187,a,10322,a)]. given #9370 (H,wt=13): 10329 K(x * y,T(z,x)) = K(y * x,z). [hyper(7646,a,10328,a),flip(a)]. given #9371 (H,wt=13): 10330 K(x * y,T(z,y)) = K(y * x,z). [hyper(7026,a,10328,a)]. given #9372 (H,wt=13): 10335 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),10329(a,1,1)),flip(a)]. given #9373 (H,wt=13): 10342 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),10330(a,1,1)),flip(a)]. given #9374 (H,wt=15): 10336 K(x * y,x \ z) = K(y * x,z / x). [para(124(a,1),10329(a,1,2))]. given #9375 (H,wt=15): 10337 K(x * y,z) * x = x * K(y * x,z). [para(10329(a,1),6988(a,1,2)),flip(a)]. given #9376 (H,wt=15): 10348 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4120(a,2),10342(a,1,1))]. given #9377 (H,wt=13): 10353 K(T(x,y) * y,z) = K(y * x,z). [hyper(240,a,10329,a(flip),b,10348,a)]. given #9378 (H,wt=16): 10338 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(10329(a,1),7780(a,1))]. given #9379 (H,wt=16): 10346 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(10330(a,1),7780(a,1))]. given #9380 (H,wt=16): 10362 K(x * y,z) != u | K(y * x,T(z,x)) = u. [para(7594(a,1),10346(a,1))]. given #9381 (H,wt=17): 10332 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [hyper(18,a,7028,a(flip),b,10328,a)]. given #9382 (H,wt=17): 10334 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(8084,a,10329,a)]. given #9383 (H,wt=17): 10341 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(240,a,7406,a(flip),b,10330,a(flip))]. given #9384 (H,wt=17): 10344 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(10330(a,1),4800(a,2,2)),flip(a)]. given #9385 (H,wt=17): 10366 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(240,a,6640,a(flip),b,10341,a(flip))]. given #9386 (H,wt=18): 10352 x * K(y * x,z) != u * x | K(x * y,z) = u. [para(10337(a,1),20(a,1))]. given #9387 (H,wt=18): 10356 K(x * y,z / y) != u | K(y * x,y \ z) = u. [para(7609(a,1),10338(a,1))]. given #9388 (H,wt=18): 10359 K(x * y,K(x,z)) != u | K(y * x,K(x,z)) = u. [para(3023(a,1),10346(a,1,2))]. given #9389 (H,wt=20): 10278 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(10266(a,1),7779(a,1))]. given #9390 (H,wt=20): 10283 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(10267(a,1),8084(a,1))]. given #9391 (H,wt=20): 10298 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(8045(a,2),10296(a,1))]. given #9392 (H,wt=20): 10358 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(616(a,1),10346(a,1,2))]. given #9393 (H,wt=20): 10361 K((x \ y) * z,T(x,y)) != u | K(z * (x \ y),x) = u. [para(6957(a,1),10346(a,1))]. given #9394 (H,wt=20): 10363 K((x \ 1) * y,T(z,x)) != u | K(y * (x \ 1),z) = u. [para(8029(a,1),10346(a,1))]. given #9395 (H,wt=21): 10221 L(x \ y,(x \ y) \ y,x \ y) != z | T(y / x,y) = z. [para(10200(a,2),10212(a,1))]. given #9396 (H,wt=21): 10238 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(314,a,10237,a)]. given #9397 (H,wt=21): 10245 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(3449(a,2),10244(a,1,2))]. given #9398 (H,wt=21): 10304 T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y). [para(10300(a,1),6178(a,2,2))]. given #9399 (H,wt=19): 10369 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(7851,a,10304,a)]. given #9400 (H,wt=21): 10327 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(10326(a,1),6988(a,1,2))]. given #9401 (H,wt=21): 10343 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(411(a,1),10330(a,1,1))]. given #9402 (H,wt=21): 10345 K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). [para(7579(a,1),10330(a,1,2)),flip(a)]. given #9403 (H,wt=21): 10368 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(10298,a,9545,a)]. given #9404 (H,wt=21): 10370 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(8425,a,10327,a)]. given #9405 (H,wt=22): 10116 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(240,a,6461,a,b,10073,a(flip)),flip(a)]. given #9406 (H,wt=19): 10372 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10068(a,1),10116(a,1,1))]. given #9407 (H,wt=22): 10168 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(94(a,1),10159(a,1,2))]. given #9408 (H,wt=22): 10213 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(10206(a,1),7665(a,1,1))]. given #9409 (H,wt=22): 10227 L(x,K(y \ (z * u),z \ y),(z \ y) * (u / (z \ y))) = x. [para(10150(a,1),9598(a,1,2))]. given #9410 (H,wt=22): 10276 x * K(y,z * x) != u * w | u \ (K(y,x * z) * x) = w. [para(10266(a,1),520(a,1,2))]. given #9411 (H,wt=22): 10288 (x * y) \ K(z,y * x) != u | T(x * y,T(z,x)) \ 1 = u. [para(10275(a,1),4767(a,1,2))]. given #9412 (H,wt=22): 10339 K(x * y,z) * y != u * w | (y * K(y * x,z)) / w = u. [para(10329(a,1),7647(a,1,1))]. given #9413 (H,wt=22): 10357 K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. [para(8035(a,1),10338(a,1))]. given #9414 (H,wt=23): 10176 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(73,a,7949,a(flip),b,10165,a(flip))]. given #9415 (H,wt=23): 10229 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(124(a,1),10228(a,1,2)),flip(a)]. given #9416 (H,wt=19): 10375 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(240,a,9982,a(flip),b,10229,a(flip))]. given #9417 (H,wt=17): 10377 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(129(a,1),10375(a,2,2))]. given #9418 (H,wt=18): 10378 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(240,a,9319,a(flip),b,10377,a(flip)),flip(a)]. given #9419 (H,wt=14): 10380 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),10378(a,2,2))]. given #9420 (H,wt=14): 10381 K(x,a(x,y,y \ 1) * z) = K(x,z). [para(13(a,1),10380(a,1,2)),flip(a)]. given #9421 (H,wt=19): 10376 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,9213,a(flip),b,10375,a(flip))]. given #9422 (H,wt=17): 10384 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(53(a,1),10376(a,1,2,2))]. given #9423 (H,wt=23): 10292 T(x,K(y,z * x)) \ (K(y,x * z) * x) = T(K(y,z * x),x). [hyper(73,a,10274,a,b,3939,a)]. given #9424 (H,wt=23): 10349 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5477(a,1),10342(a,1,1,2)),flip(a)]. given #9425 (H,wt=23): 10364 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [hyper(240,a,8042,a(flip),b,10334,a(flip)),flip(a)]. given #9426 (H,wt=21): 10386 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(240,a,9708,a(flip),b,10364,a)]. given #9427 (H,wt=23): 10383 T((a(x,y,y \ 1) * z) * K(x,z),x) = a(x,y,y \ 1) * z. [para(10381(a,1),4777(a,1,1,2))]. given #9428 (H,wt=23): 10385 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,T(z * x,x)). [hyper(240,a,6964,a,b,10292,a)]. given #9429 (H,wt=21): 10387 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,x * z). [hyper(240,a,10270,a(flip),b,10385,a)]. given #9430 (H,wt=19): 10388 T(x,K(y,z)) \ (K(y,x * z) * x) = K(y,x * z). [para(7867(a,1),10387(a,1,1))]. given #9431 (H,wt=19): 10389 T(x,K(y,z)) \ (x * K(y,z * x)) = K(y,x * z). [para(10274(a,1),10388(a,1,2))]. given #9432 (H,wt=17): 10390 K(K(x,y),z) * K(x,y * z) = K(x,z * y). [hyper(5180,a,10389,a)]. given #9433 (H,wt=17): 10391 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [hyper(5191,a,10390,a)]. given #9434 (H,wt=17): 10393 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(7451(a,1),10390(a,1,1))]. given #9435 (H,wt=17): 10394 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(7488(a,1),10390(a,1,1))]. given #9436 (H,wt=17): 10395 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [para(7505(a,1),10390(a,1,1))]. given #9437 (H,wt=17): 10396 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(5696,a,10393,a)]. given #9438 (H,wt=19): 10399 K(x,y * z) / (x \ K(x,z * y)) = T(x,K(y,z)). [hyper(75,a,10395,a(flip),b,4780,a)]. given #9439 (H,wt=20): 10392 K(x,K(y,z)) * K(y,x * z) != u | K(y,z * x) = u. [para(10390(a,1),5200(a,1,2)),flip(b)]. given #9440 (H,wt=21): 10398 x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). [hyper(21,a,10394,a)]. given #9441 (H,wt=24): 10186 K(x \ y,x) * (y * z) != u * w | u \ (((x \ y) * x) * z) = w. [para(10166(a,2),517(a,1))]. given #9442 (H,wt=24): 10251 K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. [para(9531(a,1),10248(a,1))]. given #9443 (H,wt=24): 10355 K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. [para(5929(a,1),10338(a,1,1))]. given #9444 (H,wt=24): 10397 K(x,K(y,z)) * K(x,z * y) != u * w | u \ K(x,y * z) = w. [para(10393(a,1),7544(a,1,2))]. given #9445 (H,wt=25): 10102 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(10051(a,1),8657(a,1,2,1)),flip(a)]. given #9446 (H,wt=23): 10402 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(240,a,8657,a(flip),b,10102,a)]. given #9447 (H,wt=20): 10403 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(240,a,8658,a,b,10402,a(flip)),flip(a)]. given #9448 (H,wt=22): 10404 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(65(a,1),10403(a,2,2,2,1))]. given #9449 (H,wt=15): 10405 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(10109,a,10404,a),flip(a)]. given #9450 (H,wt=15): 10406 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(9937,a,10405,a)]. given #9451 (H,wt=15): 10408 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(240,a,8627,a(flip),b,10405,a(flip))]. given #9452 (H,wt=17): 10410 x \ T(x,x \ (y / z)) = K(x,y / (x * z)). [hyper(240,a,4753,a(flip),b,10406,a),flip(a)]. given #9453 (H,wt=18): 10413 K(x,y / (x * z)) != u | K(x,x \ (y / z)) = u. [para(10410(a,1),4860(a,1))]. given #9454 (H,wt=19): 10409 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(240,a,6572,a(flip),b,10405,a(flip)),flip(a)]. given #9455 (H,wt=19): 10415 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(240,a,8661,a(flip),b,10409,a(flip))]. given #9456 (H,wt=19): 10416 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(240,a,10408,a(flip),b,10415,a(flip))]. given #9457 (H,wt=18): 10418 K(x,(x * y) / (z * x)) != u | K(x,y / z) = u. [para(10416(a,2),9941(a,1))]. given #9458 (H,wt=18): 10419 K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. [para(10405(a,1),10418(a,1))]. given #9459 (H,wt=20): 10414 K(x,T((x * y) \ z,y)) != u | K(x,x \ (z / y)) = u. [para(7674(a,2),10413(a,1))]. given #9460 (H,wt=21): 10411 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10406(a,1),8664(a,1,2))]. given #9461 (H,wt=19): 10421 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4803,a,10411,a),flip(a)]. given #9462 (H,wt=22): 10417 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(10416(a,1),6480(a,1))]. given #9463 (H,wt=23): 10420 K(x / y,((y \ x) * y) \ z) = K(y \ x,(y \ x) \ (z / y)). [hyper(10414,a,7606,a),flip(a)]. given #9464 (H,wt=23): 10422 K(x / y,((y \ x) * y) \ z) = K(y \ x,x \ (y * (z / y))). [hyper(240,a,10023,a(flip),b,10420,a)]. given #9465 (H,wt=25): 10121 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(10120(a,1),9291(a,1,1,1))]. given #9466 (H,wt=23): 10423 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(240,a,9292,a(flip),b,10121,a)]. given #9467 (H,wt=22): 10424 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(240,a,5592,a,b,10423,a(flip)),flip(a)]. given #9468 (H,wt=15): 10425 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10110,a,10424,a),flip(a)]. given #9469 (H,wt=15): 10427 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(240,a,8641,a,b,10425,a(flip)),flip(a)]. given #9470 (H,wt=19): 10428 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10427(a,1),7147(a,1,1))]. given #9471 (H,wt=17): 10429 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7026,a,10428,a)]. given #9472 (H,wt=17): 10430 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(8575,a,10429,a)]. given #9473 (H,wt=21): 10431 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10430(a,1),7098(a,1,1,2)),flip(a)]. given #9474 (H,wt=17): 10432 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(240,a,7098,a(flip),b,10431,a)]. given #9475 (H,wt=17): 10433 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7302,a,10432,a)]. given #9476 (H,wt=17): 10434 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(62(a,1),10433(a,1,2,1,2)),flip(a)]. given #9477 (H,wt=25): 10126 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(10077(a,1),9473(a,2,2))]. given #9478 (H,wt=21): 10435 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9041(a,1),10126(a,2,2))]. given #9479 (H,wt=19): 10436 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(240,a,5335,a(flip),b,10435,a)]. given #9480 (H,wt=25): 10151 K(((x \ y) \ y) \ z,(x \ y) \ y) = K(y \ ((x \ y) * z),T(x,y)). [hyper(240,a,6966,a(flip),b,10029,a)]. given #9481 (H,wt=23): 10438 K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). [hyper(7296,a,10151,a)]. given #9482 (H,wt=22): 10439 K(x \ ((y \ x) * z),T(y,x)) != u | K(y \ z,T(y,x)) = u. [para(10438(a,1),6804(a,1))]. given #9483 (H,wt=25): 10177 (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(4120(a,2),10162(a,2,1))]. given #9484 (H,wt=21): 10440 (x * y) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(16(a,1),10177(a,1,1))]. given #9485 (H,wt=21): 10442 (x * y) \ (K(x \ (x * y),x) * z) = (T(x,y) * y) \ z. [para(4994(a,1),10440(a,1,2,1))]. given #9486 (H,wt=17): 10443 (x * y) \ (K(y,x) * z) = (T(x,y) * y) \ z. [para(13(a,1),10442(a,1,2,1,1))]. given #9487 (H,wt=17): 10444 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [hyper(240,a,10158,a(flip),b,10443,a(flip)),flip(a)]. given #9488 (H,wt=25): 10225 K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). [para(10085(a,1),6296(a,1,2,1))]. given #9489 (H,wt=25): 10226 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6113(a,1),10125(a,2,2))]. given #9490 (H,wt=25): 10233 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(887(a,1),10230(a,1,1)),flip(a)]. given #9491 (H,wt=25): 10333 ((x * y) * K((x * y) * z,K(u,x))) / y = T(x,K(z * (x * y),u)). [hyper(75,a,10328,a(flip),b,7516,a(flip))]. given #9492 (H,wt=25): 10350 (x * y) \ (T(x,K((x * y) * z,u)) * y) = K(z * (x * y),K(x,u)). [hyper(7500,a,10337,a)]. given #9493 (H,wt=25): 10412 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4300(a,1),10408(a,1,2,2))]. given #9494 (H,wt=21): 10451 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(240,a,10104,a(flip),b,10412,a(flip))]. given #9495 (H,wt=25): 10437 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(62(a,1),10436(a,1,1))]. given #9496 (H,wt=21): 10452 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(62(a,1),10437(a,1,2,1)),flip(a)]. given #9497 (H,wt=19): 10453 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(6130(a,1),10452(a,1,1))]. given #9498 (H,wt=25): 10446 K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). [hyper(7300,a,10225,a)]. given #9499 (H,wt=23): 10456 K(x,T(y \ z,y \ (z * u))) = K(x,(((z \ y) \ u) \ u) \ 1). [hyper(240,a,9059,a(flip),b,10446,a(flip)),flip(a)]. given #9500 (H,wt=21): 10457 K(x,T(y \ z,y \ (z * u))) = K(x,u \ ((z \ y) \ u)). [hyper(240,a,6111,a(flip),b,10456,a)]. given #9501 (H,wt=25): 10447 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9025(a,2),10226(a,2,2))]. given #9502 (H,wt=25): 10448 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(240,a,7219,a(flip),b,10233,a)]. given #9503 (H,wt=21): 10458 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(240,a,648,a(flip),b,10448,a)]. given #9504 (H,wt=21): 10459 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(8050,a,10458,a)]. given #9505 (H,wt=21): 10461 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9750,a,10459,a)]. given #9506 (H,wt=25): 10449 ((x * y) * K(x,K(z,(x * y) * u))) / y = T(x,K(u * (x * y),z)). [para(7450(a,1),10333(a,1,1,2))]. given #9507 (H,wt=23): 10462 ((x * y) * K(x,K(z,y * u))) / y = T(x,K(u * (x * y),z)). [para(8806(a,1),10449(a,1,1,2))]. given #9508 (H,wt=25): 10450 (x * y) \ (T(x,K(z,(x * y) * u)) * y) = K(u * (x * y),K(x,z)). [para(7560(a,1),10350(a,1,2,1))]. given #9509 (H,wt=26): 10041 ((x \ y) * x) * z != (u * y) * K(x \ y,x) | T(u,(x \ y) * x) = z. [para(10032(a,2),183(a,2))]. given #9510 (H,wt=26): 10130 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(240,a,9492,a,b,10128,a(flip)),flip(a)]. given #9511 (H,wt=24): 10463 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(240,a,10222,a(flip),b,10130,a)]. given #9512 (H,wt=21): 10465 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10463(a,1),7197(a,1,1)),flip(a)]. given #9513 (H,wt=21): 10466 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7099(a,1),10465(a,1,2,2))]. given #9514 (H,wt=21): 10468 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(240,a,40,a,b,10466,a)]. given #9515 (H,wt=19): 10469 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(1127(a,2),10468(a,1,2,2))]. given #9516 (H,wt=19): 10470 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5079(a,1),10468(a,1,2))]. given #9517 (H,wt=21): 10472 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8260(a,2),10470(a,1,2))]. given #9518 (H,wt=19): 10473 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(240,a,10191,a(flip),b,10472,a(flip)),flip(a)]. given #9519 (H,wt=25): 10471 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(10469(a,1),44(a,1,1)),flip(a)]. given #9520 (H,wt=25): 10474 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(240,a,44,a(flip),b,10471,a)]. given #9521 (H,wt=26): 10179 (((x \ y) * z) * x) * a(x,x \ y,z) = K((x \ y) * z,x) * (y * z). [para(95(a,1),10164(a,1,2))]. given #9522 (H,wt=26): 10309 T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. [para(10307(a,1),9143(a,1,2))]. given #9523 (H,wt=26): 10310 T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. [para(10054(a,1),10302(a,1,2,1))]. given #9524 (H,wt=26): 10311 T(x,T(y,z \ u) * ((u \ z) \ 1)) != w | T(x,((u \ z) \ 1) * y) = w. [para(6086(a,1),10308(a,1,2,1))]. given #9525 (H,wt=26): 10312 T(x,T(y,T(z,u)) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(10259(a,1),10308(a,1,2,1))]. given #9526 (H,wt=26): 10319 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7594(a,1),10294(a,1,1,2))]. given #9527 (H,wt=27): 10144 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(240,a,6116,a(flip),b,10142,a)]. given #9528 (H,wt=21): 10475 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(240,a,6116,a(flip),b,10144,a(flip)),flip(a)]. given #9529 (H,wt=27): 10340 K(((x \ y) * x) * z,T(u,(x \ y) * x)) = K((z * y) * K(x \ y,x),u). [para(10032(a,2),10329(a,2,1))]. given #9530 (H,wt=25): 10477 K(((x \ y) * x) * z,T(u,T(y,x))) = K((z * y) * K(x \ y,x),u). [para(10259(a,1),10340(a,1,2))]. given #9531 (H,wt=27): 10354 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(T(x,y) * y) \ z). [para(10353(a,1),4976(a,1,2)),flip(a)]. given #9532 (H,wt=28): 10066 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(465(a,1),10057(a,1,1))]. given #9533 (H,wt=28): 10086 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(465(a,1),10079(a,1,2))]. given #9534 (H,wt=28): 10097 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(499(a,1),10089(a,1,2))]. given #9535 (H,wt=28): 10295 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(L(x \ 1,x,y),x * y). [para(10280(a,1),4976(a,1,2)),flip(a)]. given #9536 (H,wt=25): 10481 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(x \ 1,x * y). [para(6039(a,1),10295(a,2,2))]. given #9537 (H,wt=28): 10324 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(240,a,9919,a,b,10323,a(flip)),flip(a)]. given #9538 (H,wt=22): 10483 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(176(a,1),10324(a,2,2,2))]. given #9539 (H,wt=28): 10347 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * R(x,y,y \ 1),z). [para(1089(a,1),10335(a,1,1,1)),flip(a)]. given #9540 (H,wt=28): 10360 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5280(a,2),10346(a,1,1))]. given #9541 (H,wt=28): 10478 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(9760,a,10066,a)]. given #9542 (H,wt=23): 10484 K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. [para(10478(a,1),10251(a,1))]. given #9543 (H,wt=28): 10479 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(240,a,40,a,b,10086,a(flip)),flip(a)]. given #9544 (H,wt=28): 10480 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(8192,a,10097,a)]. given #9545 (H,wt=28): 10485 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9459(a,1),10479(a,1,1))]. given #9546 (H,wt=20): 10487 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10082(a,1),10485(a,1,1)),flip(a)]. given #9547 (H,wt=17): 10488 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10487(a,1),209(a,1,2))]. given #9548 (H,wt=17): 10492 L(x / (x / y),z,u) \ x = x / L(y,z,u). [para(283(a,1),10488(a,1,2,1)),flip(a)]. given #9549 (H,wt=17): 10493 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [para(10492(a,1),62(a,1,2)),flip(a)]. given #9550 (H,wt=21): 10496 T(x / (x / L(y,z,u)),x / y) = L((x / y) \ x,z,u). [para(10493(a,1),195(a,1,1))]. given #9551 (H,wt=17): 10498 T(x / (x / L(y,z,u)),x / y) = L(y,z,u). [para(65(a,1),10496(a,2,1))]. given #9552 (H,wt=21): 10499 T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). [para(10498(a,1),38(a,1,1)),flip(a)]. given #9553 (H,wt=28): 10486 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(240,a,3928,a(flip),b,10480,a)]. given #9554 (H,wt=28): 10500 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(240,a,42,a,b,10486,a)]. given #9555 (H,wt=28): 10501 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10421(a,1),10500(a,1,1))]. given #9556 (H,wt=20): 10502 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),10501(a,1,1,2,2)),flip(a)]. given #9557 (H,wt=17): 10503 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(563,a,10502,a),flip(a)]. given #9558 (H,wt=17): 10505 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(240,a,969,a(flip),b,10503,a(flip)),flip(a)]. given #9559 (H,wt=17): 10507 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(589(a,1),10503(a,1,1)),flip(a)]. given #9560 (H,wt=19): 10506 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),10503(a,1,1,2)),flip(a)]. given #9561 (H,wt=19): 10508 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(8300(a,1),10503(a,1,1)),flip(a)]. given #9562 (H,wt=21): 10514 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(10507(a,1),9516(a,1,2,1)),flip(a)]. given #9563 (H,wt=22): 10516 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6437(a,1),10508(a,1,1))]. given #9564 (H,wt=22): 10517 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(6964(a,2),10516(a,2,1))]. given #9565 (H,wt=24): 10515 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1168(a,1),10506(a,1,1)),flip(a)]. given #9566 (H,wt=21): 10519 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(240,a,189,a(flip),b,10515,a)]. given #9567 (H,wt=21): 10520 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),10519(a,2,1))]. given #9568 (H,wt=20): 10521 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(240,a,592,a(flip),b,10520,a)]. given #9569 (H,wt=25): 10522 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(10521(a,1),4761(a,1,1))]. given #9570 (H,wt=20): 10523 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,10522,a),flip(a)]. given #9571 (H,wt=20): 10524 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8067,a,10523,a)]. given #9572 (H,wt=20): 10525 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(240,a,9495,a,b,10524,a)]. given #9573 (H,wt=29): 10152 K(x \ (y * z),y \ x) / K((y \ x) \ z,K(x,y)) = K((y \ x) \ z,x / y). [hyper(75,a,10029,a(flip),b,8177,a)]. given #9574 (H,wt=29): 10171 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(10159(a,1),460(a,1,2))]. given #9575 (H,wt=29): 10209 L(x,((y \ z) \ z) \ u,(y \ z) \ z) = L(x,u / T(y,y \ z),(y \ z) \ z). [para(637(a,2),10199(a,1,2)),flip(a)]. given #9576 (H,wt=25): 10528 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(240,a,4678,a(flip),b,10209,a),flip(a)]. given #9577 (H,wt=29): 10258 K(x \ ((y \ x) * z),(y \ x) \ x) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). [hyper(73,a,271,a,b,10153,a),flip(a)]. given #9578 (H,wt=27): 10529 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),T(y,z)). [hyper(7296,a,10258,a),flip(a)]. given #9579 (H,wt=23): 10530 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(y \ x,T(y,z)). [hyper(10439,a,10529,a(flip)),flip(a)]. given #9580 (H,wt=26): 10531 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) != u | K(y \ x,T(y,z)) = u. [para(10529(a,2),10439(a,1))]. given #9581 (H,wt=29): 10371 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8084,a,10343,a)]. given #9582 (H,wt=25): 10532 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(864(a,1),10371(a,1,1))]. given #9583 (H,wt=23): 10533 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(8051,a,10532,a),flip(a)]. given #9584 (H,wt=26): 10534 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(10532(a,1),8051(a,1))]. given #9585 (H,wt=29): 10489 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10487(a,1),5071(a,1,2,1))]. given #9586 (H,wt=20): 10535 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(240,a,5158,a(flip),b,10489,a(flip))]. given #9587 (H,wt=29): 10504 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(10502(a,1),5157(a,1,2,1))]. given #9588 (H,wt=20): 10537 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5408,a,10504,a),flip(a)]. given #9589 (H,wt=29): 10526 K(x \ (y * z),y \ x) / K(x,K((y \ x) \ z,y)) = K((y \ x) \ z,x / y). [para(7487(a,1),10152(a,1,2))]. given #9590 (H,wt=29): 10527 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5166(a,1),10171(a,1,1))]. given #9591 (H,wt=27): 10541 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4815(a,1),10527(a,1,1,2)),flip(a)]. given #9592 (H,wt=29): 10540 K(x \ (y * z),y \ x) / K(x,K(x \ (y * z),y)) = K((y \ x) \ z,x / y). [para(9113(a,1),10526(a,1,2,2))]. given #9593 (H,wt=27): 10542 K(x \ (y * z),y \ x) / K(x,K(y,y * z)) = K((y \ x) \ z,x / y). [para(7644(a,1),10540(a,1,2))]. given #9594 (H,wt=25): 10543 K(x \ (y * z),y \ x) / K(x,K(y,z)) = K((y \ x) \ z,x / y). [para(7484(a,1),10542(a,1,2))]. given #9595 (H,wt=25): 10544 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K((y \ x) \ z,x / y). [hyper(7547,a,10543,a)]. given #9596 (H,wt=25): 10545 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K(x \ (y * z),x / y). [hyper(240,a,10035,a(flip),b,10544,a)]. given #9597 (H,wt=30): 10108 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10083(a,1),1305(a,1,2,2))]. given #9598 (H,wt=28): 10546 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(122(a,1),10108(a,1,1,1))]. given #9599 (H,wt=19): 10547 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1609,a,10546,a),flip(a)]. given #9600 (H,wt=17): 10548 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(122(a,1),10547(a,1,2))]. given #9601 (H,wt=31): 10036 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(1314(a,1),10034(a,1,1,2,1))]. given #9602 (H,wt=28): 10549 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10484,a,10036,a)]. given #9603 (H,wt=24): 10550 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(240,a,10461,a(flip),b,10549,a(flip)),flip(a)]. given #9604 (H,wt=31): 10037 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(4475(a,1),10034(a,1,1,2,1))]. given #9605 (H,wt=28): 10551 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(10484,a,10037,a)]. given #9606 (H,wt=24): 10552 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(240,a,10461,a(flip),b,10551,a(flip)),flip(a)]. given #9607 (H,wt=22): 10553 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(240,a,7269,a(flip),b,10552,a(flip)),flip(a)]. given #9608 (H,wt=22): 10554 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8067,a,10553,a)]. given #9609 (H,wt=22): 10555 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(240,a,9371,a(flip),b,10554,a)]. given #9610 (H,wt=20): 10556 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10555(a,2,1))]. given #9611 (H,wt=26): 10557 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10556(a,1),4927(a,1,1,2))]. given #9612 (H,wt=23): 10559 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5447(a,1),10557(a,1,1))]. given #9613 (H,wt=23): 10560 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6469(a,1),10559(a,1,1,1,2))]. given #9614 (H,wt=23): 10561 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(240,a,40,a,b,10560,a(flip))]. given #9615 (H,wt=18): 10562 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5312(a,1),10561(a,2,1))]. given #9616 (H,wt=19): 10564 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10562(a,1),6955(a,1,2))]. given #9617 (H,wt=20): 10566 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(9917(a,1),10564(a,1))]. given #9618 (H,wt=22): 10565 K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. [para(7383(a,1),10564(a,1,2,1))]. given #9619 (H,wt=23): 10563 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10562(a,1),446(a,1,2))]. given #9620 (H,wt=16): 10568 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(439,a,10563,a),flip(a)]. given #9621 (H,wt=12): 10569 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(321,a,10568,a),flip(a)]. given #9622 (H,wt=13): 10574 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(10569(a,2),6927(a,1,1))]. given #9623 (H,wt=17): 10571 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(240,a,4927,a,b,10569,a),flip(a)]. given #9624 (H,wt=15): 10576 R(x,y,L(x,z,u)) != w | R(x,y,x) = w. [para(10571(a,1),5321(a,1))]. given #9625 (H,wt=17): 10575 K(T(x,y),T(z,y)) = K(R(x,u,L(x,w,v5)),z). [hyper(240,a,7600,a,b,10574,a),flip(a)]. given #9626 (H,wt=16): 10578 K(R(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(10575(a,1),7782(a,1))]. given #9627 (H,wt=29): 10577 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(10525(a,1),10571(a,1,1,2))]. given #9628 (H,wt=26): 10579 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5448(a,1),10577(a,1,1))]. given #9629 (H,wt=26): 10580 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6469(a,1),10579(a,1,1,1,2))]. given #9630 (H,wt=26): 10581 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(8192,a,10580,a)]. given #9631 (H,wt=21): 10582 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5312(a,1),10581(a,1,1)),flip(a)]. given #9632 (H,wt=18): 10583 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(10576,a,10582,a)]. given #9633 (H,wt=23): 10584 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(10583(a,1),479(a,1,1)),flip(a)]. given #9634 (H,wt=20): 10585 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(240,a,118,a(flip),b,10584,a)]. given #9635 (H,wt=26): 10586 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9781(a,1),10585(a,1,1,1)),flip(a)]. given #9636 (H,wt=30): 10567 K(x,L(T(y / z,y \ z) \ 1,u,w)) != v5 | K(x,L(T((y / z) \ 1,1),u,w)) = v5. [para(8100(a,2),10565(a,1,2,1,1))]. given #9637 (H,wt=31): 10400 K(x,K(y,z)) * ((u \ K(x,z * y)) * u) = K(x,y * z) * K(u \ K(x,z * y),u). [para(10395(a,1),10032(a,1,1)),flip(a)]. given #9638 (H,wt=31): 10511 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5462(a,1),10505(a,2,1))]. given #9639 (H,wt=26): 10587 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(240,a,8163,a(flip),b,10511,a)]. given #9640 (H,wt=24): 10588 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7441(a,1),10587(a,1,1)),flip(a)]. given #9641 (H,wt=31): 10536 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(10535(a,1),9630(a,1,2)),flip(a)]. given #9642 (H,wt=31): 10539 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(10537(a,1),5314(a,1,1,2))]. given #9643 (H,wt=28): 10590 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(5448(a,1),10539(a,1,1))]. given #9644 (H,wt=28): 10591 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(8192,a,10590,a)]. given #9645 (H,wt=25): 10592 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5314(a,1),10591(a,1,1)),flip(a)]. given #9646 (H,wt=25): 10593 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(240,a,44,a(flip),b,10592,a)]. given #9647 (H,wt=32): 10157 T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). [para(1070(a,1),10156(a,1,2,2,1)),flip(a)]. given #9648 (H,wt=26): 10595 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(240,a,10112,a(flip),b,10157,a)]. given #9649 (H,wt=24): 10596 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(240,a,6086,a(flip),b,10595,a)]. given #9650 (H,wt=33): 10154 T(x \ y,z) \ T((x \ y) * K(y \ (x * u),x \ y),z) = K((x \ y) \ u,T(x \ y,z)). [para(10029(a,1),5318(a,1,2,1,2))]. given #9651 (H,wt=23): 10597 K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * z),T(x \ y,u)). [hyper(5320,a,10154,a),flip(a)]. given #9652 (H,wt=26): 10598 K((x \ y) \ z,T(x \ y,u)) != w | K(y \ (x * z),T(x \ y,u)) = w. [para(10154(a,1),5320(a,1))]. given #9653 (H,wt=33): 10170 ((x * y) * z) \ (K(x,y) * ((y * x) * (z * u))) = L(L(u,z,y * x),(y * x) * z,K(x,y)). [para(10159(a,1),442(a,1,1))]. given #9654 (H,wt=29): 10599 L(L(x,y,z * u),(z * u) * y,K(u,z)) = ((u * z) * y) \ ((u * z) * (y * x)). [para(10159(a,1),10170(a,1,2)),flip(a)]. given #9655 (H,wt=25): 10600 L(L(x,y,z * u),(z * u) * y,K(u,z)) != w | L(x,y,u * z) = w. [para(10599(a,2),449(a,1))]. given #9656 (H,wt=13): 10601 L(x,y,z * x) = L(x,y,x * z). [hyper(10600,a,7065,a)]. given #9657 (H,wt=13): 10602 L(x,y,(x \ z) * x) = L(x,y,z). [para(14(a,1),10601(a,2,3))]. given #9658 (H,wt=33): 10214 L(L(x,y,z),z * y,(z * y) \ (z * (y * x))) = T((z * (y * x)) / (z * y),z * (y * x)). [para(28(a,2),10210(a,1,1))]. given #9659 (H,wt=28): 10603 T((x * (y * z)) / (x * y),x * (y * z)) = L(L(z,y,x),x * y,L(z,y,x)). [para(28(a,2),10214(a,1,3)),flip(a)]. given #9660 (H,wt=33): 10257 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(1299(a,1),10148(a,1,2,2))]. given #9661 (H,wt=33): 10365 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1880(a,1),10334(a,1,1)),flip(a)]. given #9662 (H,wt=31): 10604 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(51(a,1),10365(a,2,1,2,2,1,2))]. given #9663 (H,wt=29): 10605 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),10604(a,2,1,2))]. given #9664 (H,wt=30): 10606 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(10605(a,2),7797(a,1))]. given #9665 (H,wt=33): 10401 x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(7216(a,1),10398(a,1,2,1,2))]. given #9666 (H,wt=33): 10454 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10453(a,2),2047(a,1,2))]. given #9667 (H,wt=29): 10607 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(240,a,8937,a(flip),b,10454,a(flip)),flip(a)]. given #9668 (H,wt=29): 10608 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2883(a,2),10607(a,2,1))]. given #9669 (H,wt=25): 10609 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(240,a,65,a(flip),b,10608,a)]. given #9670 (H,wt=19): 10611 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(240,a,8404,a(flip),b,10609,a(flip))]. given #9671 (H,wt=19): 10612 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10611(a,2),14(a,1,2))]. given #9672 (H,wt=34): 5710 ((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(5708(a,1),107(a,1,2,2,1))]. given #9673 (H,wt=34): 6382 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2543(a,1),6308(a,1,1,1))]. given #9674 (H,wt=34): 7267 (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(7138(a,2),4890(a,1,1))]. given #9675 (H,wt=34): 8564 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3890(a,1),8533(a,2,2,2,2))]. given #9676 (H,wt=28): 10615 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(240,a,10434,a(flip),b,8564,a)]. given #9677 (H,wt=28): 10616 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4415(a,1),10615(a,2,2))]. given #9678 (H,wt=26): 10617 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(240,a,8336,a(flip),b,10616,a)]. given #9679 (H,wt=24): 10618 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(240,a,8029,a(flip),b,10617,a)]. given #9680 (H,wt=15): 10619 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(10098,a,10618,a)]. given #9681 (H,wt=15): 10620 K(T(x,y),x \ z) = K(x,x \ T(z,y)). [hyper(240,a,7142,a,b,10619,a),flip(a)]. given #9682 (H,wt=17): 10621 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(240,a,10366,a,b,10619,a(flip)),flip(a)]. given #9683 (H,wt=17): 10624 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(10619(a,1),4800(a,2,2)),flip(a)]. given #9684 (H,wt=15): 10631 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(4803,a,10624,a),flip(a)]. given #9685 (H,wt=17): 10627 K(x,x \ T(y,z)) \ 1 = K(x \ y,T(x,z)). [para(10619(a,2),7153(a,1,1))]. given #9686 (H,wt=15): 10632 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [hyper(4999,a,10627,a)]. given #9687 (H,wt=18): 10628 K(x,x \ T(y,z)) != u | K(x,T(x \ y,z)) = u. [para(10620(a,1),7302(a,1))]. given #9688 (H,wt=19): 10623 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(240,a,4551,a,b,10619,a(flip)),flip(a)]. given #9689 (H,wt=19): 10625 K(x,T(x \ y,z)) * T(y,z) = x * (T(y,z) / x). [para(10619(a,1),4818(a,1,1))]. given #9690 (H,wt=19): 10640 K(x,T(x \ y,z)) * T(y,z) = T(x * (y / x),z). [hyper(240,a,4513,a,b,10625,a)]. given #9691 (H,wt=20): 10639 K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. [para(10366(a,2),10628(a,1))]. given #9692 (H,wt=21): 10629 x / (x * K(y,y \ T(z,u))) = K(y \ z,T(T(y,u),x)). [para(10620(a,1),7723(a,1,2,2))]. given #9693 (H,wt=19): 10641 K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). [hyper(7724,a,10629,a)]. given #9694 (H,wt=22): 10626 T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. [para(10619(a,1),5138(a,1,2))]. given #9695 (H,wt=22): 10638 T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. [para(4551(a,2),10628(a,1))]. given #9696 (H,wt=23): 10630 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(10621(a,1),4809(a,2,1)),flip(a)]. given #9697 (H,wt=19): 10642 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(240,a,9069,a(flip),b,10630,a(flip))]. given #9698 (H,wt=23): 10633 K((x * y) \ T(z,u),y * x) = K((y * x) \ z,T(y * x,u)). [hyper(240,a,6329,a,b,10632,a(flip)),flip(a)]. given #9699 (H,wt=23): 10635 K(x \ (y * T(z,u)),y \ x) = K((y \ x) \ z,T(y \ x,u)). [hyper(240,a,10029,a(flip),b,10632,a(flip)),flip(a)]. given #9700 (H,wt=23): 10643 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(10642(a,2),5563(a,1,2))]. given #9701 (H,wt=19): 10647 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(231,a,10643,a)]. given #9702 (H,wt=23): 10644 K(x \ (y * T(z,u)),y \ x) = K(x \ (y * z),T(y \ x,u)). [hyper(240,a,10597,a(flip),b,10635,a)]. given #9703 (H,wt=26): 10646 K(x \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. [para(10635(a,2),10598(a,1))]. given #9704 (H,wt=27): 10634 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((x / y) \ z,T(x / y,u)). [hyper(240,a,5257,a,b,10632,a(flip)),flip(a)]. given #9705 (H,wt=27): 10649 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((y \ x) \ z,T(x / y,u)). [hyper(240,a,6794,a(flip),b,10634,a)]. given #9706 (H,wt=27): 10650 x / (y * T(y \ x,x \ (y * T(z,u)))) = K((y \ x) \ z,T(x / y,u)). [para(10224(a,1),10649(a,1,2,2))]. given #9707 (H,wt=26): 10651 K((x \ y) \ z,T(y / x,u)) != w | K(y \ (x * T(z,u)),y / x) = w. [para(10650(a,1),5258(a,1))]. given #9708 (H,wt=33): 10645 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). [para(8854(a,2),10635(a,1,1,2))]. given #9709 (H,wt=34): 9061 K(((x \ y) \ 1) \ z,T(y \ x,u)) != w | K(T((x \ y) \ 1,v5) \ z,T((x \ y) \ 1,u)) = w. [para(9059(a,1),8233(a,1))]. given #9710 (H,wt=34): 9104 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2036(a,2),8530(a,2,2,1,2))]. given #9711 (H,wt=32): 10652 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9212(a,1),9104(a,1,1))]. given #9712 (H,wt=27): 10653 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9363,a,10652,a),flip(a)]. given #9713 (H,wt=21): 10654 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2036(a,1),10653(a,1,2,1,2))]. given #9714 (H,wt=21): 10655 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(240,a,9999,a(flip),b,10654,a(flip)),flip(a)]. given #9715 (H,wt=21): 10656 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,9502,a(flip),b,10655,a(flip))]. given #9716 (H,wt=34): 9665 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K((y / z) \ x,y / z),x \ y). [hyper(401,a,459,a,b,9661,a),flip(a)]. given #9717 (H,wt=34): 9959 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(5078(a,1),9958(a,1,2))]. given #9718 (H,wt=34): 10019 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3323(a,2),10018(a,1,2,1)),flip(a)]. given #9719 (H,wt=32): 10660 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(240,a,5845,a(flip),b,10019,a(flip))]. given #9720 (H,wt=26): 10661 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(240,a,5490,a(flip),b,10660,a(flip))]. given #9721 (H,wt=20): 10664 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(240,a,5490,a(flip),b,10661,a(flip))]. given #9722 (H,wt=24): 10663 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(240,a,7922,a(flip),b,10661,a(flip)),flip(a)]. given #9723 (H,wt=24): 10666 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(9565(a,1),10663(a,1,1))]. given #9724 (H,wt=24): 10667 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7299,a,10666,a)]. given #9725 (H,wt=20): 10668 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(7782,a,10667,a),flip(a)]. given #9726 (H,wt=34): 10613 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2543(a,1),6382(a,1,2))]. given #9727 (H,wt=28): 10670 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(64(a,1),10613(a,2,1))]. given #9728 (H,wt=24): 10671 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(4793(a,2),10670(a,2,2,2))]. given #9729 (H,wt=20): 10672 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = K(x,z). [hyper(240,a,13,a(flip),b,10671,a)]. given #9730 (H,wt=12): 10673 K(L(x,x \ 1,y),z) = K(x,z). [hyper(10101,a,10672,a)]. given #9731 (H,wt=18): 10675 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7801,a,10673,a),flip(a)]. given #9732 (H,wt=14): 10676 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(7782,a,10675,a),flip(a)]. given #9733 (H,wt=12): 10679 L(K(x,y),K(z,x),u) = K(x,y). [hyper(240,a,8597,a(flip),b,10676,a(flip)),flip(a)]. given #9734 (H,wt=17): 10677 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10675(a,1),7782(a,1))]. given #9735 (H,wt=15): 10684 K(L(x,x \ 1,y),z) != u | K(x,z) = u. [para(121(a,1),10677(a,1,1,2,1))]. given #9736 (H,wt=18): 10681 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(10679(a,1),45(a,1,1)),flip(a)]. given #9737 (H,wt=19): 10682 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(10679(a,1),106(a,1,2))]. given #9738 (H,wt=10): 10687 R(x,K(y,z),K(z,u)) = x. [hyper(472,a,10682,a)]. given #9739 (H,wt=12): 10689 R(x,T(K(y,z),u),K(z,w)) = x. [para(1946(a,1),10687(a,1,2))]. given #9740 (H,wt=13): 10691 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5644(a,1),10687(a,1,2))]. given #9741 (H,wt=13): 10692 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6429(a,1),10687(a,1,3))]. given #9742 (H,wt=13): 10693 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(6646(a,1),10687(a,1,3))]. given #9743 (H,wt=14): 10694 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5668(a,1),10689(a,1,3))]. given #9744 (H,wt=18): 10698 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10694(a,1),6520(a,1)),flip(a)]. given #9745 (H,wt=19): 10686 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7110,a,10682,a)]. given #9746 (H,wt=12): 10700 L(K(x,y),K(z,y),u) = K(x,y). [hyper(8491,a,10686,a)]. given #9747 (H,wt=19): 10688 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2160(a,2),10682(a,2,2))]. given #9748 (H,wt=19): 10701 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2160(a,2),10686(a,1,1,2))]. given #9749 (H,wt=19): 10702 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(10700(a,1),7114(a,1,2)),flip(a)]. given #9750 (H,wt=19): 10704 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(240,a,9303,a,b,10688,a(flip)),flip(a)]. given #9751 (H,wt=10): 10713 R(x,K(y,z),K(u,y)) = x. [hyper(472,a,10704,a)]. given #9752 (H,wt=12): 10714 L(K(x,y),K(y,z),u) = K(x,y). [hyper(438,a,10704,a)]. given #9753 (H,wt=16): 10719 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7600(a,1),10714(a,1,2))]. given #9754 (H,wt=18): 10717 R(x / K(y,z),K(u,w),K(v5,u)) = x * K(z,y). [hyper(240,a,7094,a(flip),b,10713,a)]. given #9755 (H,wt=19): 10708 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,10686,a,b,10701,a(flip)),flip(a)]. given #9756 (H,wt=19): 10712 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(5697(a,1),10702(a,1,2))]. given #9757 (H,wt=17): 10725 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(73,a,4979,a(flip),b,10712,a)]. given #9758 (H,wt=19): 10716 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(7090(a,1),10704(a,1,1)),flip(a)]. given #9759 (H,wt=19): 10722 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(81,a,10708,a)]. given #9760 (H,wt=19): 10727 (x * (K(y,z) * K(z,u))) \ x = K(u,z) * K(z,y). [para(2160(a,1),10722(a,1,1,2))]. given #9761 (H,wt=21): 10707 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7104(a,1),10688(a,1,1)),flip(a)]. given #9762 (H,wt=22): 10709 (x * (K(y,z) * K(u,y))) * K(z,y) != w * K(u,y) | w = x. [para(10701(a,2),20(a,2)),flip(a)]. given #9763 (H,wt=22): 10710 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(10701(a,1),7123(a,1,1)),flip(b)]. given #9764 (H,wt=22): 10723 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(10708(a,1),19(a,1)),flip(a)]. given #9765 (H,wt=22): 10724 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10708(a,1),299(a,1,1)),flip(b)]. given #9766 (H,wt=22): 10728 x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. [para(10727(a,1),298(a,1,2)),flip(b)]. given #9767 (H,wt=23): 10705 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(240,a,8927,a(flip),b,10688,a(flip)),flip(a)]. given #9768 (H,wt=18): 10730 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(9626(a,1),10705(a,2,2))]. given #9769 (H,wt=18): 10731 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(5191,a,10730,a)]. given #9770 (H,wt=21): 10734 K(x * y,x) * (K(x,y) * z) != u | z * a(x,y,x) = u. [para(10731(a,1),5200(a,1,2)),flip(b)]. given #9771 (H,wt=23): 10720 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(10719(a,1),106(a,1,2))]. given #9772 (H,wt=23): 10735 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(240,a,9311,a,b,10720,a(flip)),flip(a)]. given #9773 (H,wt=24): 10699 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10698,a,9866,a)]. given #9774 (H,wt=24): 10729 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(7104(a,1),10710(a,1,1))]. given #9775 (H,wt=24): 10733 K(x / y,x) * (z * a(x / y,y,x / y)) = K(x / y,y) * z. [para(16(a,1),10731(a,1,1,2))]. given #9776 (H,wt=24): 10737 K(x \ y,y) * (z * a(y / x,x,y / x)) = K(y / x,x) * z. [para(6035(a,1),10733(a,1,1))]. given #9777 (H,wt=24): 10738 K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(y / x,x) * z. [para(9841(a,1),10737(a,1,2,2))]. given #9778 (H,wt=24): 10739 K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(x \ y,x) * z. [para(4994(a,1),10738(a,2,1))]. given #9779 (H,wt=25): 10683 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10679(a,1),446(a,1,2,1))]. given #9780 (H,wt=25): 10685 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(10681(a,1),7114(a,1,2)),flip(a)]. given #9781 (H,wt=25): 10695 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10691(a,1),118(a,1,1)),flip(a)]. given #9782 (H,wt=25): 10711 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [hyper(401,a,4979,a(flip),b,10702,a)]. given #9783 (H,wt=25): 10718 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(10714(a,1),447(a,1,2,1))]. given #9784 (H,wt=25): 10736 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(240,a,9423,a(flip),b,10735,a(flip))]. given #9785 (H,wt=23): 10744 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7731(a,1),10736(a,1,2)),flip(a)]. given #9786 (H,wt=21): 10745 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6347(a,1),10744(a,2,2))]. given #9787 (H,wt=25): 10740 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2162(a,2),10683(a,2,2))]. given #9788 (H,wt=25): 10741 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(7090(a,1),10683(a,1,1)),flip(a)]. given #9789 (H,wt=25): 10742 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2166(a,1),10695(a,2,2))]. given #9790 (H,wt=25): 10743 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(7090(a,1),10718(a,1,1)),flip(a)]. given #9791 (H,wt=25): 10747 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(75,a,8254,a(flip),b,10741,a)]. given #9792 (H,wt=26): 10696 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(10691(a,1),505(a,1,1))]. given #9793 (H,wt=21): 10749 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7116,a,10696,a)]. given #9794 (H,wt=21): 10750 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(240,a,2166,a(flip),b,10749,a)]. given #9795 (H,wt=21): 10751 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7090(a,1),10750(a,1,2)),flip(a)]. given #9796 (H,wt=10): 10752 T(x,a(y,z,K(x,u))) = x. [para(10751(a,1),6815(a,1,2))]. given #9797 (H,wt=17): 10753 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8746(a,1),10751(a,1,2))]. given #9798 (H,wt=17): 10755 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8484,a,10753,a)]. given #9799 (H,wt=17): 10756 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5235,a,10753,a)]. given #9800 (H,wt=17): 10757 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5191,a,10753,a)]. given #9801 (H,wt=8): 10769 a(x,y,K(z,y)) = 1. [hyper(72,a,5974,a(flip),b,10757,a),flip(a)]. given #9802 (H,wt=10): 10768 a(x,y \ 1,K(y,z)) = 1. [hyper(72,a,6588,a(flip),b,10757,a),flip(a)]. given #9803 (H,wt=10): 10771 L(K(x,y),y,z) = K(x,y). [hyper(33,a,10769,a)]. given #9804 (H,wt=10): 10772 a(x,y,K(z,T(y,u))) = 1. [para(6974(a,1),10769(a,1,3))]. given #9805 (H,wt=10): 10773 a(x,T(y,z),K(u,y)) = 1. [para(7163(a,1),10769(a,1,3))]. given #9806 (H,wt=10): 10776 a(x,y,K(y \ 1,z)) = 1. [hyper(240,a,4711,a(flip),b,10768,a(flip)),flip(a)]. given #9807 (H,wt=11): 10774 a(x,y,K(z,L(y,u,w))) = 1. [para(9876(a,1),10769(a,1,3))]. given #9808 (H,wt=12): 10775 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10768,a)]. given #9809 (H,wt=12): 10786 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,10773,a)]. given #9810 (H,wt=14): 10777 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8723,a,10771,a)]. given #9811 (H,wt=14): 10778 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6279,a,10771,a)]. given #9812 (H,wt=14): 10785 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,10772,a)]. given #9813 (H,wt=14): 10795 K(L(x,y,z),y * x) = K(x,x * y). [hyper(240,a,6682,a(flip),b,10778,a)]. given #9814 (H,wt=14): 10799 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(240,a,10548,a(flip),b,10795,a(flip)),flip(a)]. given #9815 (H,wt=15): 10780 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(240,a,6263,a(flip),b,10771,a(flip))]. given #9816 (H,wt=15): 10781 (x * y) * K(z,y) = x * (y * K(z,y)). [para(10771(a,1),106(a,1,2))]. given #9817 (H,wt=8): 10805 R(x,y,K(z,y)) = x. [hyper(472,a,10781,a)]. given #9818 (H,wt=10): 10814 R(x,T(y,z),K(u,y)) = x. [para(7163(a,1),10805(a,1,3))]. given #9819 (H,wt=15): 10782 (x / y) * (y * K(z,y)) = x * K(z,y). [para(10771(a,1),436(a,1,2)),flip(a)]. given #9820 (H,wt=15): 10788 x * a(y,z,K(z \ 1,u)) != w | w = x. [para(10776(a,2),85(a,1,2))]. given #9821 (H,wt=13): 10817 a(x,y,K(y \ 1,z)) != u | 1 = u. [para(11(a,1),10788(a,1)),flip(b)]. given #9822 (H,wt=15): 10804 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(7314,a,10781,a)]. given #9823 (H,wt=8): 10818 R(x,K(y,z),z) = x. [hyper(3212,a,10804,a)]. given #9824 (H,wt=10): 10828 R(x,K(y,z),T(z,u)) = x. [para(7163(a,1),10818(a,1,2))]. given #9825 (H,wt=15): 10807 (x * y) * K(z,y) = x * ((z * y) / z). [para(4776(a,2),10781(a,2,2))]. given #9826 (H,wt=16): 10779 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(240,a,6116,a,b,10771,a)]. given #9827 (H,wt=16): 10784 L(K(x,y),y,z) \ (y * u) = T(y,x) * u. [para(10771(a,2),5072(a,1,1))]. given #9828 (H,wt=16): 10789 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(240,a,6643,a(flip),b,10775,a(flip)),flip(a)]. given #9829 (H,wt=16): 10832 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(10779(a,1),327(a,1)),flip(b)]. given #9830 (H,wt=13): 10836 L(K(x,y),y,z) != u | K(x,y) = u. [para(10779(a,2),10832(a,1))]. given #9831 (H,wt=16): 10838 K((1 / x) * y,y) != z | K(x \ y,y) = z. [para(6269(a,1),10836(a,1))]. given #9832 (H,wt=16): 10839 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(6469(a,1),10838(a,1))]. given #9833 (H,wt=16): 10840 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5262(a,1),10839(a,1))]. given #9834 (H,wt=17): 10758 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2168,a,10753,a)]. given #9835 (H,wt=17): 10793 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(73,a,10786,a(flip),b,2709,a)]. given #9836 (H,wt=17): 10796 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(10778(a,2),8209(a,1))]. given #9837 (H,wt=17): 10806 (x * y) * K(y \ z,y) = x * (z / (z / y)). [para(4735(a,2),10781(a,2,2))]. given #9838 (H,wt=17): 10808 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(10781(a,1),5918(a,1,1))]. given #9839 (H,wt=17): 10822 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(4768(a,1),10804(a,1,1)),flip(a)]. given #9840 (H,wt=17): 10824 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5929(a,1),10804(a,1,1)),flip(a)]. given #9841 (H,wt=17): 10831 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(10807(a,1),5918(a,1,1))]. given #9842 (H,wt=17): 10841 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6668,a,10758,a)]. given #9843 (H,wt=17): 10847 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(4776(a,2),10822(a,1,2))]. given #9844 (H,wt=18): 10792 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(240,a,5245,a,b,10786,a(flip)),flip(a)]. given #9845 (H,wt=18): 10834 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10789(a,1),4800(a,2,2))]. given #9846 (H,wt=16): 10853 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(240,a,4800,a,b,10834,a)]. given #9847 (H,wt=18): 10837 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6263(a,1),10836(a,1))]. given #9848 (H,wt=19): 10760 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10753(a,1),4779(a,1,2)),flip(a)]. given #9849 (H,wt=19): 10761 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6273(a,1),10753(a,1,2))]. given #9850 (H,wt=19): 10790 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(10775(a,1),106(a,1,2))]. given #9851 (H,wt=10): 10856 R(x,y,K(y \ 1,z)) = x. [hyper(4689,a,10790,a)]. given #9852 (H,wt=12): 10858 R(x,y \ z,K(y / z,u)) = x. [para(7663(a,1),10856(a,1,3))]. given #9853 (H,wt=17): 10857 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(5152(a,1),10790(a,2,2))]. given #9854 (H,wt=16): 10860 R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). [hyper(18,a,312,a,b,10857,a),flip(a)]. given #9855 (H,wt=15): 10861 R(x,y,y \ K(y,z)) = R(x,y,y \ 1). [hyper(240,a,203,a(flip),b,10860,a)]. given #9856 (H,wt=18): 10862 R(x,y,y \ K(y,z)) != u | R(x,y,y \ 1) = u. [para(10860(a,2),485(a,1))]. given #9857 (H,wt=19): 10798 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(240,a,6263,a(flip),b,10785,a(flip))]. given #9858 (H,wt=17): 10864 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(240,a,8414,a(flip),b,10798,a)]. given #9859 (H,wt=17): 10866 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),10864(a,1,1,1)),flip(a)]. given #9860 (H,wt=17): 10867 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(240,a,6474,a(flip),b,10866,a(flip)),flip(a)]. given #9861 (H,wt=17): 10868 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8067,a,10867,a)]. given #9862 (H,wt=19): 10810 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(10781(a,1),7563(a,1,2))]. given #9863 (H,wt=19): 10816 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [hyper(10788,a,94,a)]. given #9864 (H,wt=19): 10826 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(8456(a,2),10804(a,1,1))]. given #9865 (H,wt=19): 10829 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(7126,a,10828,a)]. given #9866 (H,wt=18): 10870 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5060(a,1),10829(a,1,2)),flip(a)]. given #9867 (H,wt=18): 10871 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5061(a,1),10829(a,1,2)),flip(a)]. given #9868 (H,wt=19): 10830 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(10828(a,1),118(a,1,1)),flip(a)]. given #9869 (H,wt=12): 10874 L(T(x,y),K(z,x),u) = T(x,y). [hyper(438,a,10830,a)]. given #9870 (H,wt=12): 10876 L(T(x,K(y,x)),K(z,x),u) = x. [hyper(240,a,3190,a(flip),b,10874,a)]. given #9871 (H,wt=8): 10878 L(x,K(y,x),z) = x. [para(1398(a,1),10876(a,1,1))]. given #9872 (H,wt=14): 10879 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(10878(a,1),44(a,1,1)),flip(a)]. given #9873 (H,wt=19): 10842 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6659(a,1),10758(a,1,1))]. given #9874 (H,wt=19): 10859 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(10858(a,1),468(a,1,1))]. given #9875 (H,wt=17): 10882 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(240,a,10181,a(flip),b,10859,a(flip))]. given #9876 (H,wt=19): 10863 R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). [para(4992(a,1),10861(a,1,3)),flip(a)]. given #9877 (H,wt=19): 10865 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(240,a,8407,a(flip),b,10798,a)]. given #9878 (H,wt=19): 10875 (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). [para(3197(a,2),10830(a,2,2))]. given #9879 (H,wt=20): 10759 a(x,y,K(z,u)) != w | L(K(u,z),y,x) * K(z,u) = w. [para(10753(a,1),2168(a,1))]. given #9880 (H,wt=20): 10767 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(10756(a,1),5193(a,1))]. given #9881 (H,wt=20): 10770 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(10757(a,1),5200(a,1,2)),flip(b)]. given #9882 (H,wt=20): 10809 (x * (y * K(z,y))) * z != u | (x * y) * T(z,y) = u. [para(10781(a,1),5950(a,1,1))]. given #9883 (H,wt=20): 10833 T(L(K(x,y),x,z),x * u) = (x * u) \ (T(x,y) * u). [hyper(401,a,10784,a(flip),b,6650,a(flip))]. given #9884 (H,wt=20): 10835 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5178(a,1),10832(a,1,2,1,1))]. given #9885 (H,wt=20): 10850 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10841(a,1),20(a,1)),flip(a)]. given #9886 (H,wt=20): 10872 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(10729,a,10870,a)]. given #9887 (H,wt=15): 10888 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9626(a,1),10872(a,1,2))]. given #9888 (H,wt=11): 10889 L(x,y,x) \ x = a(x,y,x). [hyper(17,a,6715,a,b,10888,a),flip(a)]. given #9889 (H,wt=11): 10892 L(x,y,x) * a(x,y,x) = x. [para(10889(a,1),14(a,1,2))]. given #9890 (H,wt=11): 10893 a(x,y,x) * L(x,y,x) = x. [para(10889(a,1),6699(a,1,1))]. given #9891 (H,wt=11): 10894 a(x,y,x) \ x = L(x,y,x). [para(10889(a,1),6700(a,1,1))]. given #9892 (H,wt=13): 10891 L(x,y,x) \ x = x \ R(x,y,x). [hyper(240,a,9625,a,b,10889,a)]. given #9893 (H,wt=14): 10896 a(x,y,x) \ x != z | L(x,y,x) = z. [para(10893(a,1),241(a,1,2)),flip(b)]. given #9894 (H,wt=15): 10890 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),10888(a,1,1)),flip(a)]. given #9895 (H,wt=15): 10898 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1615,a,10890,a)]. given #9896 (H,wt=15): 10899 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(10890(a,1),65(a,1,1))]. given #9897 (H,wt=15): 10901 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(240,a,9162,a(flip),b,10898,a(flip)),flip(a)]. given #9898 (H,wt=15): 10902 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),10898(a,1,1)),flip(a)]. given #9899 (H,wt=15): 10907 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(240,a,1303,a,b,10901,a(flip)),flip(a)]. given #9900 (H,wt=15): 10909 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(10907(a,1),14(a,1,2))]. given #9901 (H,wt=15): 10910 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),10907(a,1,2)),flip(a)]. given #9902 (H,wt=15): 10911 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),10909(a,1,2)),flip(a)]. given #9903 (H,wt=15): 10912 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1301,a,b,10911,a),flip(a)]. given #9904 (H,wt=15): 10913 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(73,a,10912,a(flip),b,9163,a(flip))]. given #9905 (H,wt=16): 10900 (x / L(y,x,y)) * y = T(y * x,y) / y. [hyper(240,a,9634,a,b,10898,a)]. given #9906 (H,wt=16): 10904 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9634(a,2),10899(a,1,1))]. given #9907 (H,wt=17): 10895 L(T(x,y),z,x) \ x = K(y,x) * a(x,z,x). [para(10889(a,1),7391(a,1,2)),flip(a)]. given #9908 (H,wt=18): 10897 a(x,y,x) * L(x,y,x) != z * u | z \ x = u. [para(10894(a,1),376(a,1,2))]. given #9909 (H,wt=19): 10906 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(240,a,8271,a,b,10901,a(flip)),flip(a)]. given #9910 (H,wt=20): 10873 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(10871(a,1),7750(a,1,1,2))]. given #9911 (H,wt=20): 10883 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),y \ 1). [hyper(240,a,4897,a,b,10863,a(flip)),flip(a)]. given #9912 (H,wt=17): 10917 R(x,T(y,z),y \ 1) = R(x,y,y \ K(y,z)). [hyper(240,a,9236,a(flip),b,10883,a(flip))]. given #9913 (H,wt=15): 10918 R(x,T(y,z),y \ 1) = R(x,y,y \ 1). [hyper(240,a,10861,a(flip),b,10917,a)]. given #9914 (H,wt=20): 10885 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(2166(a,2),10770(a,1))]. given #9915 (H,wt=20): 10887 L(T(K(x,y),x * z),x,u) = (x * z) \ (T(x,y) * z). [hyper(240,a,40,a,b,10833,a(flip)),flip(a)]. given #9916 (H,wt=18): 10922 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [para(7157(a,1),10887(a,1,1))]. given #9917 (H,wt=20): 10908 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(10902(a,1),10731(a,1,2)),flip(a)]. given #9918 (H,wt=20): 10916 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(240,a,9164,a(flip),b,10873,a(flip)),flip(a)]. given #9919 (H,wt=14): 10923 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(240,a,7762,a(flip),b,10916,a)]. given #9920 (H,wt=14): 10924 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),10923(a,1,1,2)),flip(a)]. given #9921 (H,wt=14): 10925 K(x * R(y,z,y),y) = K(y * x,y). [hyper(10358,a,10924,a)]. given #9922 (H,wt=18): 10926 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(10925(a,1),4836(a,2,2,2))]. given #9923 (H,wt=14): 10927 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(240,a,4836,a,b,10926,a)]. given #9924 (H,wt=16): 10928 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(240,a,4800,a(flip),b,10927,a)]. given #9925 (H,wt=14): 10929 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4858,a,10928,a)]. given #9926 (H,wt=14): 10930 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(10278,a,10929,a)]. given #9927 (H,wt=17): 10931 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(8455,a,10930,a)]. given #9928 (H,wt=21): 10754 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10752(a,1),6988(a,1,2,2)),flip(a)]. given #9929 (H,wt=21): 10762 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10753(a,1),6545(a,1,1)),flip(a)]. given #9930 (H,wt=21): 10766 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(10753(a,1),10685(a,1,2))]. given #9931 (H,wt=21): 10819 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(240,a,9307,a(flip),b,10804,a(flip))]. given #9932 (H,wt=21): 10823 (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). [para(10804(a,1),5929(a,1,1))]. given #9933 (H,wt=21): 10848 (x * T(y,K(z,u))) * K(z,u) = (x * y) * K(z,T(u,y)). [para(7552(a,1),10824(a,1,2)),flip(a)]. given #9934 (H,wt=21): 10869 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3076(a,1),10829(a,1,2)),flip(a)]. given #9935 (H,wt=21): 10884 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,T(y,z),y \ 1). [hyper(73,a,10863,a(flip),b,679,a),flip(a)]. given #9936 (H,wt=19): 10941 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). [para(10918(a,1),10884(a,2,2))]. given #9937 (H,wt=17): 10942 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [hyper(240,a,678,a(flip),b,10941,a)]. given #9938 (H,wt=21): 10915 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10906(a,1),4783(a,1,2))]. given #9939 (H,wt=21): 10932 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(240,a,9430,a,b,10762,a(flip)),flip(a)]. given #9940 (H,wt=21): 10933 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6655(a,1),10762(a,1,2)),flip(a)]. given #9941 (H,wt=21): 10935 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [hyper(240,a,10875,a(flip),b,10819,a)]. given #9942 (H,wt=21): 10936 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(240,a,10830,a(flip),b,10819,a)]. given #9943 (H,wt=21): 10937 (x * (y * K(z,y))) * K(y,u) = x * (T(y,u) * K(z,y)). [hyper(240,a,10875,a(flip),b,10823,a)]. given #9944 (H,wt=21): 10938 (x * T(y,K(z,u))) * K(u,z) = (x * y) * K(u,T(z,y)). [para(7560(a,1),10848(a,1,1,2))]. given #9945 (H,wt=21): 10940 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(10869(a,1),4666(a,1,2))]. given #9946 (H,wt=21): 10944 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(73,a,5178,a(flip),b,10933,a),flip(a)]. given #9947 (H,wt=17): 10945 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(240,a,10932,a(flip),b,10944,a(flip))]. given #9948 (H,wt=17): 10946 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(430,a,10945,a)]. given #9949 (H,wt=17): 10947 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(242,a,10945,a),flip(a)]. given #9950 (H,wt=20): 10949 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(10945(a,1),224(a,1,2))]. given #9951 (H,wt=20): 10950 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(10945(a,1),298(a,1,2)),flip(b)]. given #9952 (H,wt=20): 10952 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10946(a,1),82(a,1,1)),flip(b)]. given #9953 (H,wt=20): 10953 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) \ w = v5. [para(14(a,1),10949(a,1,2)),flip(b)]. given #9954 (H,wt=21): 10948 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(240,a,10754,a,b,10945,a)]. given #9955 (H,wt=22): 10797 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(240,a,9059,a,b,10785,a)]. given #9956 (H,wt=20): 10955 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(10797(a,1),327(a,1)),flip(b)]. given #9957 (H,wt=20): 10956 K(x,((y \ z) * u) \ u) != w | K(x,T(z \ y,u)) = w. [para(7075(a,1),10955(a,1))]. given #9958 (H,wt=18): 10959 K(x,(y * z) \ z) != u | K(x,T(y \ 1,z)) = u. [para(51(a,1),10956(a,1,2,1,1))]. given #9959 (H,wt=18): 10960 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(7405(a,1),10959(a,1))]. given #9960 (H,wt=20): 10957 K(x,y \ ((z \ u) \ y)) != w | K(x,T(u \ z,y)) = w. [para(7404(a,1),10955(a,1))]. given #9961 (H,wt=22): 10801 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10799(a,1),6273(a,1,1))]. given #9962 (H,wt=20): 10962 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6279,a,10801,a),flip(a)]. given #9963 (H,wt=22): 10846 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(10808(a,1),4950(a,1,2))]. given #9964 (H,wt=18): 10963 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(10846(a,1),891(a,1))]. given #9965 (H,wt=22): 10854 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(240,a,8734,a(flip),b,10853,a)]. given #9966 (H,wt=17): 10964 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(240,a,10596,a(flip),b,10854,a(flip)),flip(a)]. given #9967 (H,wt=22): 10877 (x * K(y,z)) * T(z,u) != w | x * (K(y,z) * T(z,u)) = w. [para(10874(a,1),230(a,1,2))]. given #9968 (H,wt=22): 10886 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6273(a,1),10770(a,1,2))]. given #9969 (H,wt=22): 10921 K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. [para(6659(a,1),10885(a,1,1))]. given #9970 (H,wt=22): 10961 K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. [para(10457(a,2),10957(a,1))]. given #9971 (H,wt=23): 10763 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6643(a,1),10753(a,1,2))]. given #9972 (H,wt=23): 10764 K(1 / x,y) * K(y,1 / L(x,z,u)) = a(u,z,K(1 / x,y)). [para(6652(a,1),10753(a,1,2))]. given #9973 (H,wt=23): 10811 T(a(x,y,y \ 1) * (z * K(x,z)),x) = a(x,y,y \ 1) * z. [para(10781(a,1),10383(a,1,1))]. given #9974 (H,wt=23): 10825 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(10804(a,1),6005(a,1,1))]. given #9975 (H,wt=23): 10905 K(x,y) * (L(T(x,y),z,T(x,y)) \ x) = a(T(x,y),z,T(x,y)). [hyper(5062,a,10901,a)]. given #9976 (H,wt=21): 10968 K(x,y) * (L(T(x,y),z,x) \ x) = a(T(x,y),z,T(x,y)). [para(7052(a,1),10905(a,1,2,1))]. given #9977 (H,wt=21): 10970 K(x,y) * (K(y,x) * a(x,z,x)) = a(T(x,y),z,T(x,y)). [para(10895(a,1),10968(a,1,2))]. given #9978 (H,wt=13): 10971 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(5200,a,10970,a)]. given #9979 (H,wt=23): 10934 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(7103(a,1),10766(a,1,1)),flip(a)]. given #9980 (H,wt=23): 10939 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(10869(a,1),3640(a,1,1)),flip(a)]. given #9981 (H,wt=24): 10765 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(9455(a,1),10753(a,1,2))]. given #9982 (H,wt=24): 10791 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(240,a,8458,a,b,10786,a(flip)),flip(a)]. given #9983 (H,wt=21): 10976 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(10569(a,1),10791(a,1,2,2)),flip(a)]. given #9984 (H,wt=14): 10977 K(x * L(y,z,u),y) = K(y * x,y). [hyper(240,a,10792,a(flip),b,10976,a)]. given #9985 (H,wt=14): 10979 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(240,a,7812,a(flip),b,10977,a(flip))]. given #9986 (H,wt=16): 10981 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(10979(a,1),4777(a,1,1,2))]. given #9987 (H,wt=14): 10982 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(10981(a,1),4838(a,1,1)),flip(a)]. given #9988 (H,wt=14): 10983 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),10982(a,1,2,2)),flip(a)]. given #9989 (H,wt=14): 10985 T(x,L(x,y,z) * (x \ u)) = T(x,u). [para(14(a,1),10983(a,2,2))]. given #9990 (H,wt=24): 10802 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(10780(a,1),6476(a,1,2))]. given #9991 (H,wt=22): 10989 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(240,a,9625,a(flip),b,10802,a)]. given #9992 (H,wt=22): 10990 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [hyper(2165,a,10989,a)]. given #9993 (H,wt=24): 10827 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). [para(10804(a,1),9932(a,1,2,1))]. given #9994 (H,wt=22): 10991 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). [para(10808(a,1),10827(a,1,2))]. given #9995 (H,wt=24): 10845 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(75,a,10808,a(flip),b,118,a)]. given #9996 (H,wt=22): 10992 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(5918(a,1),10845(a,1,2))]. given #9997 (H,wt=15): 10993 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(483,a,10992,a),flip(a)]. given #9998 (H,wt=17): 10994 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4813(a,1),10993(a,1,2)),flip(a)]. given #9999 (H,wt=13): 10997 R(x,y / z,z) = R(x,z \ y,z). [hyper(240,a,10044,a(flip),b,10994,a(flip))]. given #10000 (H,wt=19): 10995 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7534(a,1),10993(a,1,2))]. given #10001 (H,wt=15): 11004 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(240,a,10044,a(flip),b,10995,a)]. given #10002 (H,wt=20): 10998 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(10994(a,1),9788(a,1,1))]. given #10003 (H,wt=20): 11001 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(240,a,6444,a(flip),b,10997,a(flip))]. given #10004 (H,wt=23): 11006 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8400(a,1),11004(a,1,2))]. given #10005 (H,wt=23): 11007 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(6964(a,2),11006(a,1,2))]. given #10006 (H,wt=24): 10951 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 * v6 | w / v6 = v5. [para(10945(a,1),295(a,1,2))]. given #10007 (H,wt=24): 10954 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10948(a,2),19(a,1))]. given #10008 (H,wt=24): 10974 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10765(a,1),5189(a,1,2))]. given #10009 (H,wt=18): 11009 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10850,a,10974,a)]. given #10010 (H,wt=18): 11010 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6682(a,2),11009(a,1,1))]. given #10011 (H,wt=23): 11011 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(220(a,1),11010(a,2,2))]. given #10012 (H,wt=20): 11012 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(240,a,10795,a(flip),b,11011,a)]. given #10013 (H,wt=17): 11014 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10962(a,1),11012(a,1,1))]. given #10014 (H,wt=14): 11015 L(K(x,x * y),y,z) = K(x,x * y). [para(10777(a,1),11014(a,1,1))]. given #10015 (H,wt=10): 11018 a(x,y,K(z,z * y)) = 1. [hyper(74,a,11015,a,b,10755,a),flip(a)]. given #10016 (H,wt=10): 11021 a(x,y,K(z,y * z)) = 1. [para(6682(a,2),11018(a,1,3))]. given #10017 (H,wt=12): 11022 a(x,y,K(z,y * z)) = u \ u. [hyper(240,a,53,a,b,11021,a)]. given #10018 (H,wt=10): 11023 a(x,y,K(y * z,z)) = 1. [hyper(74,a,11022,a,b,10945,a(flip)),flip(a)]. given #10019 (H,wt=13): 11024 a(x,y,K(z,y * z)) != u | 1 = u. [para(11022(a,2),158(a,1))]. given #10020 (H,wt=13): 11025 a(x,y,K(z,z * y)) != u | 1 = u. [para(6682(a,1),11024(a,1,3))]. given #10021 (H,wt=16): 11019 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(11015(a,2),4980(a,1,2))]. given #10022 (H,wt=14): 11026 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6658,a,11019,a)]. given #10023 (H,wt=14): 11027 L(K(x * y,x),y,z) = K(y * x,x). [hyper(240,a,6469,a,b,11026,a)]. given #10024 (H,wt=15): 11028 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(240,a,9454,a(flip),b,11026,a(flip)),flip(a)]. given #10025 (H,wt=15): 11030 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(10837,a,11028,a)]. given #10026 (H,wt=15): 11031 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(9169,a,11028,a),flip(a)]. given #10027 (H,wt=15): 11033 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(240,a,9152,a,b,11028,a(flip)),flip(a)]. given #10028 (H,wt=15): 11034 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(240,a,8366,a(flip),b,11028,a(flip))]. given #10029 (H,wt=14): 11039 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(240,a,10979,a(flip),b,11034,a(flip))]. given #10030 (H,wt=14): 11040 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8059,a,11039,a)]. given #10031 (H,wt=14): 11041 K(x / L(y,z,u),y) = K(x / y,y). [hyper(240,a,4994,a,b,11040,a)]. given #10032 (H,wt=14): 11042 K(x \ (y * L(x,z,u)),x) = K(y,x). [para(15(a,1),11040(a,1,1)),flip(a)]. given #10033 (H,wt=14): 11044 K(x * (y \ L(y,z,u)),y) = K(x,y). [hyper(10138,a,11042,a)]. given #10034 (H,wt=15): 11037 K((x / y) \ z,y) = K(y * (x \ z),y). [para(16(a,1),11031(a,1,1,2,1)),flip(a)]. given #10035 (H,wt=17): 11017 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(9365,a,11015,a)]. given #10036 (H,wt=15): 11045 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(240,a,10000,a(flip),b,11017,a(flip)),flip(a)]. given #10037 (H,wt=17): 11029 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(11027(a,2),7788(a,1))]. given #10038 (H,wt=17): 11043 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(240,a,5755,a,b,11041,a(flip)),flip(a)]. given #10039 (H,wt=18): 11035 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(11028(a,1),9169(a,1))]. given #10040 (H,wt=18): 11049 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(11045(a,1),6676(a,1))]. given #10041 (H,wt=18): 11050 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(9454(a,1),11029(a,1))]. given #10042 (H,wt=18): 11053 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(9152(a,2),11050(a,1))]. given #10043 (H,wt=18): 11054 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(10780(a,2),11050(a,1))]. given #10044 (H,wt=19): 11046 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(11017(a,1),4800(a,2,2))]. given #10045 (H,wt=19): 11052 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(11043(a,1),1508(a,1,2))]. given #10046 (H,wt=20): 11055 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(11046(a,2),4803(a,1))]. given #10047 (H,wt=21): 11048 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1303(a,1),11045(a,1,2))]. given #10048 (H,wt=22): 11036 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(11028(a,1),10990(a,1,1))]. given #10049 (H,wt=18): 11058 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11036(a,1),9649(a,1))]. given #10050 (H,wt=23): 11057 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(11052(a,1),9849(a,1,2)),flip(a)]. given #10051 (H,wt=24): 11000 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(240,a,8636,a(flip),b,10997,a(flip))]. given #10052 (H,wt=24): 11038 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(240,a,10550,a(flip),b,11033,a(flip))]. given #10053 (H,wt=24): 11059 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(240,a,9528,a(flip),b,11038,a)]. given #10054 (H,wt=24): 11060 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8067,a,11059,a)]. given #10055 (H,wt=21): 11061 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(240,a,10556,a(flip),b,11060,a(flip))]. given #10056 (H,wt=21): 11062 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(240,a,9528,a,b,11061,a(flip)),flip(a)]. given #10057 (H,wt=21): 11063 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(240,a,9370,a,b,11061,a(flip)),flip(a)]. given #10058 (H,wt=21): 11065 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(240,a,9371,a,b,11063,a(flip)),flip(a)]. given #10059 (H,wt=22): 11064 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(240,a,8609,a(flip),b,11061,a(flip))]. given #10060 (H,wt=25): 10803 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(10780(a,1),8116(a,1,1,1,2))]. given #10061 (H,wt=26): 10706 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(10688(a,1),183(a,2))]. given #10062 (H,wt=26): 10732 K(x * y,x) * (K(x,y) * z) != a(x,y,x) * u | T(z,a(x,y,x)) = u. [para(10730(a,2),183(a,2)),flip(a)]. given #10063 (H,wt=26): 10821 x \ (y * (x * K(z,x))) != u * w | T(u,w) = w \ T(y * K(z,x),x). [para(10804(a,1),692(a,1,2))]. given #10064 (H,wt=26): 10996 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(10993(a,1),9738(a,1,2)),flip(a)]. given #10065 (H,wt=24): 11067 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10044(a,1),10996(a,2,2))]. given #10066 (H,wt=22): 11068 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(240,a,9738,a(flip),b,11067,a)]. given #10067 (H,wt=17): 11069 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(10963,a,11068,a)]. given #10068 (H,wt=17): 11070 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),11069(a,1,3))]. given #10069 (H,wt=27): 10697 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10694(a,1),852(a,1,1)),flip(a)]. given #10070 (H,wt=23): 11072 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(8442(a,1),10697(a,1,2)),flip(a)]. given #10071 (H,wt=27): 10746 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(240,a,8287,a,b,10740,a(flip)),flip(a)]. given #10072 (H,wt=27): 10855 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10761(a,1),5382(a,2,2))]. given #10073 (H,wt=25): 11074 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7318,a,10855,a)]. given #10074 (H,wt=23): 11075 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(135(a,1),11074(a,1,2,2))]. given #10075 (H,wt=27): 10903 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(873(a,1),10899(a,1,2))]. given #10076 (H,wt=23): 11076 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10971(a,1),10903(a,1,1,2))]. given #10077 (H,wt=27): 11071 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(240,a,2340,a(flip),b,11070,a(flip)),flip(a)]. given #10078 (H,wt=25): 11078 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(240,a,9618,a(flip),b,11071,a(flip)),flip(a)]. given #10079 (H,wt=25): 11079 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(240,a,10536,a,b,11078,a(flip)),flip(a)]. given #10080 (H,wt=28): 10783 (x * y) * (L(z,y,x) * K(u,L(z,y,x))) = (x * (y * z)) * K(u,L(z,y,x)). [para(10771(a,1),453(a,1,2)),flip(a)]. given #10081 (H,wt=25): 11080 (x * (y * z)) * K(u,L(z,y,x)) = (x * y) * L(z * K(u,z),y,x). [para(5447(a,1),10783(a,1,2)),flip(a)]. given #10082 (H,wt=22): 11081 (x * (y * z)) * K(u,L(z,y,x)) = x * (y * (z * K(u,z))). [hyper(240,a,106,a(flip),b,11080,a)]. given #10083 (H,wt=19): 11084 (x * (y * z)) * K(y,z) = x * (y * (z * K(y,z))). [para(10053(a,1),11081(a,1,2))]. given #10084 (H,wt=17): 11085 (x * (y * z)) * K(y,z) = x * (T(y,z) * z). [para(4828(a,1),11084(a,2,2))]. given #10085 (H,wt=27): 11083 ((x * (y * z)) / T(L(z,y,x),u)) \ (x * (y * (z * K(u,z)))) = L(z,y,x). [hyper(73,a,11081,a(flip),b,7179,a)]. given #10086 (H,wt=28): 10794 (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. [para(10786(a,1),760(a,1,2,1))]. given #10087 (H,wt=23): 11086 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(10794,a,10934,a)]. given #10088 (H,wt=21): 11087 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(10760(a,1),11086(a,1,2)),flip(a)]. given #10089 (H,wt=11): 11088 a(x,y,a(z,u,K(y,w))) = 1. [hyper(72,a,11087,a(flip),b,94,a),flip(a)]. given #10090 (H,wt=13): 11089 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7600(a,1),11088(a,1,3,3))]. given #10091 (H,wt=28): 10914 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7652(a,1),10904(a,1,2))]. given #10092 (H,wt=28): 11008 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11007(a,1),9747(a,2,1))]. given #10093 (H,wt=27): 11091 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(240,a,9497,a(flip),b,11008,a)]. given #10094 (H,wt=27): 11092 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7142(a,1),11091(a,1,1,2))]. given #10095 (H,wt=25): 11093 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7611(a,1),11092(a,1,2))]. given #10096 (H,wt=28): 11090 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7886(a,1),10914(a,1,1))]. given #10097 (H,wt=28): 11095 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7652(a,1),11090(a,1,1,2,1))]. given #10098 (H,wt=29): 10820 (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) != w | L(u,y * K(z,u),x) = w. [para(10804(a,1),449(a,1,2,2))]. given #10099 (H,wt=29): 10843 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(10793(a,1),2854(a,2,2))]. given #10100 (H,wt=21): 11096 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(240,a,13,a(flip),b,10843,a)]. given #10101 (H,wt=21): 11098 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(11096(a,1),14(a,1,2))]. given #10102 (H,wt=21): 11099 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(11098(a,1),6390(a,1,2))]. given #10103 (H,wt=29): 10851 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(6268(a,1),10841(a,1,1))]. given #10104 (H,wt=29): 10967 K(1 / x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7451(a,1),10764(a,1,2))]. given #10105 (H,wt=27): 11100 K(x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7975(a,1),10967(a,1,1))]. given #10106 (H,wt=25): 11101 K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7967(a,1),11100(a,1,2))]. given #10107 (H,wt=25): 11102 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(1 / y,K(x,z))). [para(7487(a,1),11101(a,1,1))]. given #10108 (H,wt=23): 11103 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(7964(a,1),11102(a,2,3))]. given #10109 (H,wt=26): 11104 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11103(a,1),5696(a,1))]. given #10110 (H,wt=29): 11066 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9110(a,1),10803(a,1,1,1,2))]. given #10111 (H,wt=25): 11105 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8228(a,1),11066(a,1,1,1,2)),flip(a)]. given #10112 (H,wt=23): 11106 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1904(a,1),11105(a,2,1))]. given #10113 (H,wt=21): 11107 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(240,a,7629,a(flip),b,11106,a)]. given #10114 (H,wt=19): 11108 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(240,a,8435,a(flip),b,11107,a(flip)),flip(a)]. given #10115 (H,wt=17): 11109 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(8234,a,11108,a)]. given #10116 (H,wt=17): 11110 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),11109(a,1,2,2,1)),flip(a)]. given #10117 (H,wt=17): 11112 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(240,a,9172,a(flip),b,11110,a(flip)),flip(a)]. given #10118 (H,wt=17): 11113 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(240,a,8694,a,b,11112,a(flip)),flip(a)]. given #10119 (H,wt=17): 11115 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),11112(a,1,2,2,2)),flip(a)]. given #10120 (H,wt=19): 11116 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),11113(a,1,2,2,2))]. given #10121 (H,wt=19): 11117 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(240,a,8035,a,b,11116,a)]. given #10122 (H,wt=17): 11118 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(8084,a,11117,a),flip(a)]. given #10123 (H,wt=20): 11114 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(240,a,10483,a(flip),b,11112,a(flip))]. given #10124 (H,wt=16): 11119 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(13(a,1),11114(a,1,2,2))]. given #10125 (H,wt=19): 11120 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(240,a,7041,a(flip),b,11119,a(flip)),flip(a)]. given #10126 (H,wt=17): 11124 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(240,a,7213,a(flip),b,11120,a)]. given #10127 (H,wt=17): 11125 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(16(a,1),11124(a,1,2,2,1)),flip(a)]. given #10128 (H,wt=19): 11126 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(11125(a,1),4800(a,2,2))]. given #10129 (H,wt=17): 11127 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(240,a,4800,a,b,11126,a)]. given #10130 (H,wt=21): 11111 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(240,a,7465,a,b,11110,a),flip(a)]. given #10131 (H,wt=17): 11129 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(17,a,7465,a,b,11111,a),flip(a)]. given #10132 (H,wt=17): 11131 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8001,a,11129,a)]. given #10133 (H,wt=17): 11132 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(240,a,8841,a,b,11129,a(flip)),flip(a)]. given #10134 (H,wt=17): 11134 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(8847,a,11132,a)]. given #10135 (H,wt=19): 11133 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(240,a,9214,a,b,11131,a(flip)),flip(a)]. given #10136 (H,wt=19): 11136 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7532,a,11133,a)]. given #10137 (H,wt=20): 11130 K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ u)) = w. [para(11111(a,1),7820(a,1))]. given #10138 (H,wt=20): 11137 K(x,T(y,z \ (x * u))) != w | K(x,T(y,z \ u)) = w. [para(9172(a,1),11130(a,1))]. given #10139 (H,wt=23): 11128 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(240,a,9051,a(flip),b,11127,a(flip))]. given #10140 (H,wt=21): 11138 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(60(a,1),11128(a,1,2,2))]. given #10141 (H,wt=19): 11139 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(124(a,1),11138(a,1,2)),flip(a)]. given #10142 (H,wt=17): 11140 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(240,a,10964,a(flip),b,11139,a)]. given #10143 (H,wt=17): 11141 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(240,a,8997,a(flip),b,11140,a(flip)),flip(a)]. given #10144 (H,wt=21): 11142 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),11141(a,1,2,1)),flip(a)]. given #10145 (H,wt=20): 11143 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(240,a,8793,a(flip),b,11142,a(flip)),flip(a)]. given #10146 (H,wt=16): 11144 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(240,a,8994,a(flip),b,11143,a)]. given #10147 (H,wt=17): 11145 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(240,a,8752,a(flip),b,11144,a(flip)),flip(a)]. given #10148 (H,wt=15): 11146 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(11055,a,11145,a),flip(a)]. given #10149 (H,wt=17): 11147 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(240,a,9378,a(flip),b,11146,a(flip))]. given #10150 (H,wt=23): 11135 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(11134(a,1),7970(a,1,2)),flip(a)]. given #10151 (H,wt=19): 11149 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(240,a,7459,a(flip),b,11135,a)]. given #10152 (H,wt=17): 11150 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8203,a,11149,a)]. given #10153 (H,wt=17): 11151 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),11150(a,1,2,2)),flip(a)]. given #10154 (H,wt=24): 11148 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(11147(a,1),5060(a,1,2))]. given #10155 (H,wt=29): 11082 (x * (y * z)) * K(u,L(z,y,x)) != w * v5 | w \ (x * (y * (z * K(u,z)))) = v5. [para(11080(a,2),524(a,1))]. given #10156 (H,wt=30): 10703 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(182,a,10688,a,b,599,a)]. given #10157 (H,wt=30): 10958 K(((x \ y) \ 1) * z,T(y \ x,u)) != w | K(z * ((x \ y) \ 1),T(y \ x,u)) = w. [para(9060(a,1),10955(a,1))]. given #10158 (H,wt=30): 11152 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(11151(a,1),4801(a,1,2,1))]. given #10159 (H,wt=23): 11153 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5016,a,11152,a),flip(a)]. given #10160 (H,wt=23): 11154 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(240,a,8322,a(flip),b,11153,a)]. given #10161 (H,wt=23): 11155 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8329,a,11154,a)]. given #10162 (H,wt=23): 11156 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9498(a,1),11155(a,1,2))]. given #10163 (H,wt=24): 11157 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(240,a,9532,a(flip),b,11156,a(flip))]. given #10164 (H,wt=21): 11158 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(240,a,8325,a(flip),b,11157,a(flip))]. given #10165 (H,wt=21): 11159 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7489,a,11158,a)]. given #10166 (H,wt=24): 11160 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(240,a,9405,a(flip),b,11159,a(flip)),flip(a)]. given #10167 (H,wt=12): 11161 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(240,a,9086,a(flip),b,11160,a)]. given #10168 (H,wt=10): 11163 K(x,K(y,a(z,x,u))) = 1. [para(176(a,1),11161(a,1,2,2,3))]. given #10169 (H,wt=15): 11165 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11163(a,1),7454(a,1,2)),flip(a)]. given #10170 (H,wt=13): 11166 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(240,a,12,a(flip),b,11165,a)]. given #10171 (H,wt=17): 11167 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8021,a,11166,a)]. given #10172 (H,wt=24): 11168 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(11167(a,1),7879(a,1,1))]. given #10173 (H,wt=34): 10614 (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(7491(a,1),7267(a,1,2,2))]. given #10174 (H,wt=34): 10658 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K(y \ (z * x),y / z),x \ y). [para(10155(a,1),9665(a,2,1))]. given #10175 (H,wt=34): 10659 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(5416,a,9959,a)]. given #10176 (H,wt=34): 10849 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (x * T(y,x)) * R(z,x,T(y,x)). [hyper(240,a,792,a(flip),b,10831,a)]. given #10177 (H,wt=32): 11172 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). [para(122(a,1),10849(a,2,1))]. given #10178 (H,wt=30): 11173 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). [para(10044(a,1),11172(a,2,2))]. given #10179 (H,wt=28): 11174 ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(122(a,1),11173(a,1,1,1,1,1))]. given #10180 (H,wt=26): 11175 ((((x * y) * z) / (x * y)) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(122(a,1),11174(a,1,1,1,2))]. given #10181 (H,wt=22): 11176 ((((x * y) * z) / (y * x)) * y) * x = (x * y) * R(z,y,x). [para(9948(a,1),11175(a,1,1))]. given #10182 (H,wt=34): 10881 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(10879(a,1),3233(a,1,2,2)),flip(a)]. given #10183 (H,wt=25): 11177 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(240,a,9934,a(flip),b,10881,a)]. given #10184 (H,wt=20): 11179 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(618(a,1),11177(a,2,2,2))]. given #10185 (H,wt=18): 11180 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(152(a,1),11179(a,2,2))]. given #10186 (H,wt=16): 11182 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(240,a,12,a(flip),b,11180,a)]. given #10187 (H,wt=11): 11184 R(x,K(y,z),R(z,u,w)) = x. [para(10879(a,1),11182(a,1,3))]. given #10188 (H,wt=21): 11185 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(7126,a,11184,a)]. given #10189 (H,wt=34): 10966 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(5644(a,1),10763(a,1,1))]. given #10190 (H,wt=30): 11187 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(6651(a,1),10966(a,1,2))]. given #10191 (H,wt=26): 11188 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(5644(a,1),11187(a,2,3))]. given #10192 (H,wt=34): 11169 (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(6964(a,2),10614(a,2,1,1))]. given #10193 (H,wt=32): 11189 (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(7153(a,1),11169(a,2,1))]. given #10194 (H,wt=25): 11190 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(240,a,10719,a(flip),b,11189,a)]. given #10195 (H,wt=33): 11193 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(6775(a,2),11190(a,1,1))]. given #10196 (H,wt=25): 11194 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7700(a,1),11193(a,1,2,2))]. given #10197 (H,wt=23): 11195 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),11194(a,1,2))]. given #10198 (H,wt=23): 11196 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5193,a,11195,a)]. given #10199 (H,wt=23): 11197 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6786(a,1),11196(a,1,1))]. given #10200 (H,wt=21): 11198 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(240,a,6888,a(flip),b,11197,a)]. given #10201 (H,wt=15): 11199 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(240,a,6805,a(flip),b,11198,a(flip)),flip(a)]. given #10202 (H,wt=24): 11200 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11199(a,1),5621(a,1,1,1,2))]. given #10203 (H,wt=22): 11201 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4800(a,2),11200(a,1,1,1))]. given #10204 (H,wt=18): 11202 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5692,a,11201,a)]. given #10205 (H,wt=21): 11203 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11202(a,1),9868(a,1,1))]. given #10206 (H,wt=34): 11170 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = K(y \ (z * x),T(y / z,x \ y)). [hyper(240,a,6964,a,b,10658,a)]. given #10207 (H,wt=29): 11205 (x \ y) \ (((y / z) * (x / (y / z))) \ y) = K(y \ (z * x),T(y / z,x \ y)). [para(459(a,1),11170(a,1,2))]. given #10208 (H,wt=25): 11206 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,T(x / y,x)). [hyper(9672,a,11205,a),flip(a)]. given #10209 (H,wt=23): 11207 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,y \ x). [hyper(240,a,6967,a(flip),b,11206,a)]. given #10210 (H,wt=23): 11208 K(x \ (y * z),T(x / y,z \ x)) = K(x \ (y * z),y \ x). [hyper(240,a,10149,a(flip),b,11207,a)]. given #10211 (H,wt=34): 11171 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(8184,a,10659,a)]. given #10212 (H,wt=35): 6606 ((x * y) * (z * K(u,z \ 1))) / ((y * z) * K(u,z \ 1)) = R(R(x,y,z),y * z,K(u,z \ 1)). [para(6603(a,1),475(a,1,1))]. given #10213 (H,wt=35): 8176 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2530(a,2),8168(a,2,2))]. given #10214 (H,wt=31): 11210 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5294(a,1),8176(a,1,1,2))]. given #10215 (H,wt=29): 11211 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(7937(a,1),11210(a,1,1))]. given #10216 (H,wt=19): 11212 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(17,a,9793,a(flip),b,11211,a)]. given #10217 (H,wt=15): 11214 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(240,a,3465,a(flip),b,11212,a(flip)),flip(a)]. given #10218 (H,wt=32): 11213 K(x,1 / (1 / (y \ (y / z)))) != K(y,K(x,z)) * u | K(x,(y / (1 / (1 / z))) / y) = u. [para(11211(a,1),19(a,1))]. given #10219 (H,wt=35): 8200 (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(8198(a,1),562(a,1,2))]. given #10220 (H,wt=35): 8310 (K(x,T(y,z)) * (z * (y * x))) \ ((z * y) * T(x,y)) = L(a(z,y,x),z * (y * x),K(x,T(y,z))). [para(7899(a,1),460(a,1,2))]. given #10221 (H,wt=29): 11218 L(a(x,y,z),x * (y * z),K(z,T(y,x))) = (x * (z * y)) \ ((x * y) * T(z,y)). [para(10253(a,1),8310(a,1,1)),flip(a)]. given #10222 (H,wt=25): 11219 L(a(x,y,z),x * (y * z),K(z,T(y,x))) != u | a(x,y,T(z,y)) = u. [para(11218(a,2),891(a,1))]. given #10223 (H,wt=35): 8470 (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(6920(a,1),5064(a,1,1,2))]. given #10224 (H,wt=33): 11220 (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(4779(a,1),8470(a,1,1))]. given #10225 (H,wt=21): 11221 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(669,a,11220,a),flip(a)]. given #10226 (H,wt=23): 11223 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5057(a,1),11221(a,1,2)),flip(a)]. given #10227 (H,wt=24): 11222 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11220(a,1),669(a,1))]. given #10228 (H,wt=35): 8765 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(8762(a,1),4532(a,1,1,2,1)),flip(a)]. given #10229 (H,wt=31): 11224 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(240,a,7872,a(flip),b,8765,a)]. given #10230 (H,wt=35): 8963 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(5184(a,1),8739(a,1,2,1,2,2)),flip(a)]. given #10231 (H,wt=35): 9299 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(5942(a,1),9297(a,2,1))]. given #10232 (H,wt=32): 11226 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(8705,a,9299,a(flip)),flip(a)]. given #10233 (H,wt=27): 11227 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(273(a,1),11226(a,2,1,2))]. given #10234 (H,wt=13): 11228 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1607(a,1),11227(a,1,2)),flip(a)]. given #10235 (H,wt=19): 11229 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6278,a,11228,a)]. given #10236 (H,wt=16): 11231 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(240,a,10977,a(flip),b,11229,a(flip))]. given #10237 (H,wt=14): 11233 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(240,a,6470,a(flip),b,11231,a)]. given #10238 (H,wt=17): 11234 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(11231(a,2),10840(a,1))]. given #10239 (H,wt=21): 11230 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(240,a,6263,a(flip),b,11228,a(flip))]. given #10240 (H,wt=18): 11236 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(11234,a,11230,a),flip(a)]. given #10241 (H,wt=18): 11238 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(240,a,11030,a(flip),b,11236,a)]. given #10242 (H,wt=19): 11239 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(106(a,1),11238(a,1,1,2))]. given #10243 (H,wt=19): 11241 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(240,a,8374,a(flip),b,11239,a(flip)),flip(a)]. given #10244 (H,wt=22): 11242 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(240,a,11064,a,b,11241,a(flip)),flip(a)]. given #10245 (H,wt=23): 11240 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9186,a,11239,a)]. given #10246 (H,wt=19): 11243 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(240,a,11031,a(flip),b,11240,a)]. given #10247 (H,wt=20): 11244 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(240,a,9448,a(flip),b,11243,a(flip)),flip(a)]. given #10248 (H,wt=15): 11245 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11244(a,2,1))]. given #10249 (H,wt=15): 11246 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10566,a,11245,a),flip(a)]. given #10250 (H,wt=13): 11248 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10134,a,11246,a)]. given #10251 (H,wt=15): 11251 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10249,a,11248,a)]. given #10252 (H,wt=15): 11254 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6279,a,11248,a),flip(a)]. given #10253 (H,wt=15): 11256 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(240,a,4977,a,b,11248,a),flip(a)]. given #10254 (H,wt=15): 11259 K(x,L(y,z / y,u)) = K(x,L(y,z,u)). [hyper(240,a,6657,a,b,11248,a(flip)),flip(a)]. given #10255 (H,wt=15): 11267 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11248(a,2),4800(a,2,2)),flip(a)]. given #10256 (H,wt=16): 11249 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11246(a,1),10134(a,1))]. given #10257 (H,wt=16): 11273 K(x,L(L(y,z,y),u,w)) = L(K(x,y),u,w). [para(9112(a,1),11248(a,1,1)),flip(a)]. given #10258 (H,wt=16): 11281 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11256(a,1),4999(a,1))]. given #10259 (H,wt=17): 11250 K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). [hyper(10250,a,11248,a)]. given #10260 (H,wt=17): 11255 K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). [hyper(5798,a,11248,a)]. given #10261 (H,wt=17): 11257 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(240,a,10757,a,b,11248,a(flip)),flip(a)]. given #10262 (H,wt=17): 11261 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(240,a,6643,a(flip),b,11248,a(flip))]. given #10263 (H,wt=17): 11277 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11248(a,1),10755(a,1,2))]. given #10264 (H,wt=17): 11278 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11248(a,1),10758(a,1,1))]. given #10265 (H,wt=15): 11299 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(10921,a,11278,a)]. given #10266 (H,wt=17): 11291 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(240,a,10754,a(flip),b,11257,a(flip)),flip(a)]. given #10267 (H,wt=17): 11294 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(7110,a,11277,a)]. given #10268 (H,wt=13): 11306 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,10753,a,b,11294,a),flip(a)]. given #10269 (H,wt=13): 11309 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11281,a,11306,a),flip(a)]. given #10270 (H,wt=15): 11305 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(10886,a,11294,a)]. given #10271 (H,wt=15): 11315 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(240,a,11254,a,b,11309,a(flip)),flip(a)]. given #10272 (H,wt=15): 11316 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(240,a,11246,a(flip),b,11309,a(flip))]. given #10273 (H,wt=16): 11312 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11306(a,1),11281(a,1))]. given #10274 (H,wt=17): 11300 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [hyper(5191,a,11278,a)]. given #10275 (H,wt=17): 11314 K(L(x,y,z),u) * w = K(x,L(u,y,z)) * w. [hyper(22,a,11309,a)]. given #10276 (H,wt=17): 11325 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),11305(a,1,2))]. given #10277 (H,wt=17): 11327 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11315(a,1,2,2))]. given #10278 (H,wt=18): 11247 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(11245(a,1),10566(a,1))]. given #10279 (H,wt=18): 11252 K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). [hyper(6324,a,11248,a)]. given #10280 (H,wt=18): 11253 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(6323,a,11248,a)]. given #10281 (H,wt=16): 11331 K((x \ 1) \ y,L(z,y,x)) = K(x * y,z). [para(129(a,1),11253(a,1,1)),flip(a)]. given #10282 (H,wt=18): 11260 K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). [hyper(240,a,6670,a(flip),b,11248,a(flip))]. given #10283 (H,wt=18): 11263 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11248(a,1),106(a,1,2))]. given #10284 (H,wt=18): 11287 K(x,L(y,y \ z,u)) != w | K(x,L(y,z,u)) = w. [para(8608(a,2),11281(a,1))]. given #10285 (H,wt=18): 11308 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(11294(a,1),10886(a,1))]. given #10286 (H,wt=18): 11310 (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). [para(11306(a,1),106(a,1,2))]. given #10287 (H,wt=18): 11311 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(456(a,1),11306(a,2,1))]. given #10288 (H,wt=18): 11318 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(235(a,1),11309(a,1,1)),flip(a)]. given #10289 (H,wt=18): 11319 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(456(a,1),11309(a,1,1)),flip(a)]. given #10290 (H,wt=18): 11321 K(x,L(y,z,u)) * L(x,z,u) = T(L(x,z,u),y). [para(11309(a,1),4809(a,2,1)),flip(a)]. given #10291 (H,wt=18): 11328 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11254(a,2),11312(a,1))]. given #10292 (H,wt=19): 11268 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6111(a,1),11248(a,1,1)),flip(a)]. given #10293 (H,wt=19): 11269 K(x,L((y * z) \ y,u,w)) = L(K(x,z \ 1),u,w). [para(6115(a,1),11248(a,1,1)),flip(a)]. given #10294 (H,wt=19): 11289 K(x,L(L(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11273(a,2),11281(a,1))]. given #10295 (H,wt=19): 11303 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11278(a,1),4779(a,1,2)),flip(a)]. given #10296 (H,wt=19): 11304 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7491(a,2),11299(a,1,3))]. given #10297 (H,wt=19): 11307 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11294(a,1),7187(a,1,2)),flip(a)]. given #10298 (H,wt=19): 11324 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(240,a,11278,a,b,11305,a),flip(a)]. given #10299 (H,wt=19): 11347 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(456(a,1),11319(a,1,2))]. given #10300 (H,wt=19): 11350 K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). [hyper(240,a,11248,a(flip),b,11269,a)]. given #10301 (H,wt=19): 11352 K(x,L(L(y,z,u),w,y)) != v5 | K(x,L(y,z,u)) = v5. [para(45(a,1),11289(a,1,2))]. given #10302 (H,wt=19): 11354 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),11347(a,1,2)),flip(a)]. given #10303 (H,wt=19): 11357 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),11354(a,1,1)),flip(a)]. given #10304 (H,wt=20): 11258 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(240,a,6703,a,b,11248,a(flip)),flip(a)]. given #10305 (H,wt=20): 11262 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(240,a,6262,a(flip),b,11248,a(flip))]. given #10306 (H,wt=20): 11264 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(454(a,1),11248(a,2,2))]. given #10307 (H,wt=20): 11276 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11248(a,1),10202(a,1,2))]. given #10308 (H,wt=20): 11279 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11248(a,1),10885(a,1,1))]. given #10309 (H,wt=18): 11359 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(11324(a,1),11279(a,1))]. given #10310 (H,wt=20): 11282 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8391(a,1),11249(a,1))]. given #10311 (H,wt=20): 11283 K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. [para(5640(a,1),11281(a,1))]. given #10312 (H,wt=20): 11288 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(10757(a,2),11281(a,1))]. given #10313 (H,wt=20): 11295 a(x,y,K(z,u)) * w != K(z,u) | K(z,L(u,y,x)) = w. [para(11277(a,1),19(a,1)),flip(a)]. given #10314 (H,wt=20): 11296 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(11277(a,1),20(a,1)),flip(a)]. given #10315 (H,wt=20): 11297 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11277(a,1),7123(a,1,1)),flip(b)]. given #10316 (H,wt=20): 11298 a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. [para(11277(a,1),10949(a,1,2)),flip(b)]. given #10317 (H,wt=20): 11301 a(x,y,K(z,u)) != w * K(z,u) | K(u,L(z,y,x)) = w. [para(11278(a,1),20(a,1))]. given #10318 (H,wt=20): 11302 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11278(a,1),2165(a,1))]. given #10319 (H,wt=20): 11313 K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). [hyper(8086,a,11309,a),flip(a)]. given #10320 (H,wt=20): 11320 K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). [para(454(a,1),11309(a,1,1)),flip(a)]. given #10321 (H,wt=20): 11323 K(T(x,y) \ z,L(u,x,y)) = K((x * y) \ (y * z),u). [para(10198(a,1),11309(a,1,1)),flip(a)]. given #10322 (H,wt=20): 11336 (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). [hyper(7317,a,11263,a)]. given #10323 (H,wt=20): 11337 ((x * y) / z) \ (x * (y * K(z,u))) = T(z,L(u,y,x)). [hyper(73,a,11263,a(flip),b,5928,a)]. given #10324 (H,wt=20): 11348 K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. [para(14(a,1),11328(a,1,2,2))]. given #10325 (H,wt=20): 11355 K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). [hyper(240,a,11260,a(flip),b,11350,a(flip)),flip(a)]. given #10326 (H,wt=20): 11360 a(x,y,K(z,u \ y)) != w | a(x,u,K(z,u \ y)) = w. [para(14(a,1),11359(a,1,2))]. given #10327 (H,wt=20): 11361 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8320(a,2),11282(a,1))]. given #10328 (H,wt=21): 11271 L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). [para(6977(a,1),11248(a,1,1))]. given #10329 (H,wt=21): 11280 a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(11248(a,1),10933(a,1,2,1))]. given #10330 (H,wt=21): 11284 K((x * y) \ (x * z),u) != w | K(y \ z,L(u,z,x)) = w. [para(6261(a,1),11281(a,1))]. given #10331 (H,wt=21): 11285 K((x * (y / z)) \ (x * y),u) != w | K(z,L(u,y,x)) = w. [para(6265(a,2),11281(a,1))]. given #10332 (H,wt=21): 11326 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11305(a,1),11075(a,2,2))]. given #10333 (H,wt=21): 11332 K((x * y) \ (x * z),u) != w | L(K(y \ z,u),z,x) = w. [para(11253(a,2),11249(a,1))]. given #10334 (H,wt=21): 11333 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [hyper(240,a,5746,a(flip),b,11331,a(flip)),flip(a)]. given #10335 (H,wt=21): 11338 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11263(a,1),19(a,1)),flip(a)]. given #10336 (H,wt=21): 11368 K(x,L(T(y,z) \ 1,u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11281,a,11271,a),flip(a)]. given #10337 (H,wt=22): 11272 x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). [para(11248(a,1),6995(a,2,1))]. given #10338 (H,wt=22): 11317 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(240,a,10213,a(flip),b,11309,a(flip))]. given #10339 (H,wt=22): 11335 x \ (K(y,L(z,u,x)) * (x * u)) = u * K(y,T(z,x * u)). [hyper(7395,a,11263,a)]. given #10340 (H,wt=22): 11345 L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). [hyper(240,a,10137,a,b,11311,a)]. given #10341 (H,wt=20): 11374 L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). [para(9181(a,1),11345(a,1,1))]. given #10342 (H,wt=22): 11349 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11268(a,2),11281(a,1))]. given #10343 (H,wt=22): 11351 K(x,L((y * z) \ y,u,w)) != v5 | K(x,L(z \ 1,u,w)) = v5. [para(11269(a,2),11281(a,1))]. given #10344 (H,wt=22): 11356 K(x,L(y \ 1,z * y,u)) = K(x,(u * (z * y)) \ (u * z)). [para(108(a,1),11350(a,1,2)),flip(a)]. given #10345 (H,wt=19): 11376 K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). [hyper(240,a,11355,a(flip),b,11356,a)]. given #10346 (H,wt=22): 11364 (x * y) / T(L(z,y / z,x),u) = x * ((y / z) * K(u,z)). [para(16(a,1),11336(a,1,1,2))]. given #10347 (H,wt=22): 11365 (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) = L(u,y,x). [para(11336(a,1),11083(a,1,1))]. given #10348 (H,wt=13): 11378 L(x,y * K(z,x),u) = L(x,y,u). [hyper(10820,a,11365,a)]. given #10349 (H,wt=13): 11380 L(x,K(x,y) * z,u) = L(x,z,u). [para(7100(a,1),11378(a,1,2)),flip(a)]. given #10350 (H,wt=17): 11384 L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). [para(7600(a,1),11380(a,1,2,1))]. given #10351 (H,wt=19): 11385 L(T(x,y),T(x,z) \ u,w) = L(T(x,y),x \ u,w). [para(5057(a,1),11384(a,1,2)),flip(a)]. given #10352 (H,wt=18): 11386 (x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x). [hyper(240,a,4894,a(flip),b,11385,a(flip)),flip(a)]. given #10353 (H,wt=22): 11372 K(x \ y,L(T(z,u),y,x \ u)) = K(((u / x) * y) / u,z). [hyper(240,a,11327,a,b,11317,a(flip)),flip(a)]. given #10354 (H,wt=22): 11377 (x * y) / T(L(z,z \ y,x),u) = x * ((y / z) * K(u,z)). [para(10131(a,1),11364(a,1,2,1))]. given #10355 (H,wt=20): 11392 (x * y) / T(L(z,z \ y,x),u) = x * (y / T(z,u)). [para(7104(a,1),11377(a,2,2))]. given #10356 (H,wt=23): 11270 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11248(a,1),6380(a,1))]. given #10357 (H,wt=21): 11395 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11327(a,1),11270(a,1))]. given #10358 (H,wt=23): 11274 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11248(a,1),9363(a,1))]. given #10359 (H,wt=23): 11275 K(x,L(T((y / z) \ 1,u),w,v5)) = L(K(x,T(z / y,u)),w,v5). [para(9467(a,1),11248(a,1,1)),flip(a)]. given #10360 (H,wt=23): 11286 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6703(a,2),11281(a,1))]. given #10361 (H,wt=23): 11342 K(1 / L(x,y,z),x) != u | K(1 / L(x,y,z),L(x,w,v5)) = u. [para(5755(a,1),11287(a,1))]. given #10362 (H,wt=23): 11362 K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(398(a,1),11313(a,2,1))]. given #10363 (H,wt=21): 11397 K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(678(a,1),11362(a,1,1,1))]. given #10364 (H,wt=23): 11370 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(73,a,11333,a(flip),b,2271,a)]. given #10365 (H,wt=23): 11393 K(x,L(y,z \ u,z)) != w | K((z * ((z \ u) / x)) \ u,y) = w. [para(65(a,1),11270(a,1,1))]. given #10366 (H,wt=24): 11290 K(x \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). [para(11255(a,1),4809(a,2,1)),flip(a)]. given #10367 (H,wt=24): 11292 L(x,y,z) * K(u,L(x \ 1,y,z)) = T(1 / L(x,y,z),u) \ 1. [para(11261(a,2),7281(a,2,2)),flip(a)]. given #10368 (H,wt=24): 11358 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(240,a,9251,a(flip),b,11258,a(flip))]. given #10369 (H,wt=24): 11363 K(x \ (y * z),L(y,u,w)) != v5 | K((y \ x) \ z,L(y,u,w)) = v5. [para(11320(a,1),11352(a,1))]. given #10370 (H,wt=24): 11399 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(240,a,11065,a(flip),b,11358,a(flip)),flip(a)]. given #10371 (H,wt=25): 11235 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11233(a,1),9346(a,1,1,2))]. given #10372 (H,wt=21): 11400 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6031(a,1),11235(a,1,1,2)),flip(a)]. given #10373 (H,wt=19): 11401 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(240,a,5918,a(flip),b,11400,a)]. given #10374 (H,wt=19): 11402 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1299(a,1),11401(a,1,1))]. given #10375 (H,wt=23): 11403 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11402(a,1),9677(a,2,2))]. given #10376 (H,wt=23): 11404 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(240,a,5921,a(flip),b,11403,a)]. given #10377 (H,wt=25): 11265 (x * y) * K(z,L(u,y,x)) != w * v5 | w \ (x * (y * K(z,u))) = v5. [para(11248(a,1),524(a,1,2))]. given #10378 (H,wt=25): 11346 K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. [para(11318(a,2),7511(a,1,2))]. given #10379 (H,wt=25): 11375 K(x,(y * (z * u)) \ (y * z)) != w | K(x,L(u \ 1,z * u,y)) = w. [para(108(a,1),11351(a,1,2))]. given #10380 (H,wt=25): 11394 K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. [para(6018(a,1),11270(a,1))]. given #10381 (H,wt=26): 11396 K(x,L(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. [para(11275(a,2),11281(a,1))]. given #10382 (H,wt=26): 11398 K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). [para(3022(a,1),11290(a,1,1))]. given #10383 (H,wt=27): 11322 K(x,L(T(y,z),u,z / (u * x))) != w | K(z / ((z / (u * x)) * u),y) = w. [para(11309(a,1),8047(a,1))]. given #10384 (H,wt=27): 11330 K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K((y * x) \ z,L(u,z,y \ 1)). [hyper(240,a,5718,a(flip),b,11253,a(flip)),flip(a)]. given #10385 (H,wt=27): 11334 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(6376,a,11260,a(flip)),flip(a)]. given #10386 (H,wt=27): 11339 (x * (x \ y)) * K(z,y \ (x * u)) = x * ((x \ y) * K(z,(x \ y) \ u)). [para(454(a,1),11263(a,1,2,2))]. given #10387 (H,wt=23): 11405 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(582,a,11339,a)]. given #10388 (H,wt=26): 11406 x \ (y * K(z,y \ (x * u))) != (x \ y) * w | K(z,(x \ y) \ u) = w. [para(11405(a,2),19(a,1))]. given #10389 (H,wt=27): 11371 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L(T((y / z) \ 1,1),u,w)). [hyper(10567,a,11368,a),flip(a)]. given #10390 (H,wt=25): 11407 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L((y / z) \ 1,u,w)). [para(150(a,1),11371(a,2,2,1))]. given #10391 (H,wt=23): 11408 K(x,L(T(y / z,z \ y),u,w)) = K(x,L((z / y) \ 1,u,w)). [hyper(11396,a,11407,a)]. given #10392 (H,wt=19): 11409 K(x,L((y / z) \ 1,u,w)) = K(x,L(z / y,u,w)). [para(208(a,1),11408(a,1,2,1)),flip(a)]. given #10393 (H,wt=28): 11293 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,((z * (y / z)) \ (z * u)) \ 1). [para(10208(a,1),11261(a,2,2,1))]. given #10394 (H,wt=26): 11410 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). [hyper(240,a,6111,a(flip),b,11293,a)]. given #10395 (H,wt=28): 11341 (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). [para(6603(a,1),11263(a,2,2))]. given #10396 (H,wt=26): 11411 (x * (y * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). [para(11376(a,1),11341(a,1,2))]. given #10397 (H,wt=29): 11266 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(11248(a,1),1315(a,1,2,1))]. given #10398 (H,wt=29): 11412 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(5183(a,1),11266(a,1,2))]. given #10399 (H,wt=29): 11413 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(11309(a,1),11412(a,1,2,1))]. given #10400 (H,wt=27): 11414 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4815(a,1),11413(a,1,2))]. given #10401 (H,wt=25): 11415 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11303(a,1),11414(a,1,2)),flip(a)]. given #10402 (H,wt=30): 11329 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10136(a,1),11327(a,2,2))]. given #10403 (H,wt=30): 11366 (x * (y * z)) \ ((x * y) * (z * K(a(x,y,z),u))) = T(a(x,y,z),L(u,z,x * y)). [para(140(a,1),11337(a,1,1))]. given #10404 (H,wt=30): 11369 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11326(a,1),9066(a,2,2))]. given #10405 (H,wt=28): 11417 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11404(a,1),11369(a,1,2))]. given #10406 (H,wt=23): 11418 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(240,a,6884,a(flip),b,11417,a(flip))]. given #10407 (H,wt=23): 11419 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [hyper(240,a,11314,a(flip),b,11418,a)]. given #10408 (H,wt=19): 11420 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(240,a,11278,a(flip),b,11419,a)]. given #10409 (H,wt=15): 11421 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(242,a,11420,a)]. given #10410 (H,wt=15): 11423 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11421(a,1,3,1)),flip(a)]. given #10411 (H,wt=15): 11424 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4993(a,1),11421(a,1,3)),flip(a)]. given #10412 (H,wt=19): 11425 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6018(a,1),11421(a,1,3))]. given #10413 (H,wt=19): 11426 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10031(a,2),11421(a,1,3))]. given #10414 (H,wt=21): 11427 a(x,y,K(z \ (u * w),u \ z)) = a(x,y,K(w,u \ z)). [para(10029(a,1),11421(a,1,3))]. given #10415 (H,wt=23): 11428 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11423(a,2),10948(a,1,1))]. given #10416 (H,wt=15): 11430 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10954,a,11428,a)]. given #10417 (H,wt=11): 11433 a(x,y,K(z,y)) != u | 1 = u. [para(11430(a,1),11025(a,1))]. given #10418 (H,wt=15): 11432 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11430(a,1,3,2)),flip(a)]. given #10419 (H,wt=17): 11431 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(240,a,11425,a,b,11430,a(flip)),flip(a)]. given #10420 (H,wt=19): 11434 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(5845(a,1),11432(a,1,3))]. given #10421 (H,wt=15): 11435 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(240,a,11431,a(flip),b,11434,a(flip))]. given #10422 (H,wt=15): 11436 a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)). [para(3022(a,1),11435(a,1,3)),flip(a)]. given #10423 (H,wt=17): 11437 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6019(a,1),11435(a,1,3))]. given #10424 (H,wt=17): 11438 a(x,y,K(y \ z,u)) = a(x,z,K(u,z \ y)). [hyper(240,a,11325,a(flip),b,11437,a)]. given #10425 (H,wt=30): 11416 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(240,a,11062,a(flip),b,11329,a(flip))]. given #10426 (H,wt=27): 11440 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(240,a,11242,a(flip),b,11416,a)]. given #10427 (H,wt=24): 11441 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11286,a,11440,a)]. given #10428 (H,wt=24): 11442 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(240,a,11062,a(flip),b,11441,a(flip)),flip(a)]. given #10429 (H,wt=19): 11443 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(240,a,11399,a(flip),b,11442,a(flip)),flip(a)]. given #10430 (H,wt=17): 11444 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11443(a,2,1,2))]. given #10431 (H,wt=17): 11445 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(240,a,11037,a(flip),b,11444,a(flip)),flip(a)]. given #10432 (H,wt=21): 11446 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11445(a,1),5184(a,1,2,1)),flip(a)]. given #10433 (H,wt=17): 11448 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(240,a,5184,a(flip),b,11446,a)]. given #10434 (H,wt=31): 11340 (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(1071(a,1),11263(a,1,1))]. given #10435 (H,wt=31): 11429 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(11424(a,1),11415(a,2,2,2))]. given #10436 (H,wt=29): 11449 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(240,a,5072,a(flip),b,11429,a)]. given #10437 (H,wt=32): 11367 T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z * u,y)))). [para(831(a,1),11337(a,2,2)),flip(a)]. given #10438 (H,wt=30): 11450 T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z,y)))). [para(11376(a,1),11367(a,2,2,2,2))]. given #10439 (H,wt=23): 11451 T(x,L(L(y \ 1,z,u),y,z)) = T(x,(u * (z * y)) \ (u * z)). [hyper(240,a,11337,a(flip),b,11450,a),flip(a)]. given #10440 (H,wt=32): 11439 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(L(u,y \ z,y),w)). [para(107(a,1),11438(a,1,3,1)),flip(a)]. given #10441 (H,wt=35): 9421 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(7658(a,1),6999(a,1,2,1,2))]. given #10442 (H,wt=31): 11452 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),9421(a,1,2,1)),flip(a)]. given #10443 (H,wt=31): 11454 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(6964(a,2),11452(a,2,2))]. given #10444 (H,wt=31): 11455 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(240,a,7170,a(flip),b,11454,a)]. given #10445 (H,wt=25): 11456 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(240,a,7995,a(flip),b,11455,a(flip))]. given #10446 (H,wt=26): 11458 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11456(a,2),8077(a,1))]. given #10447 (H,wt=35): 9970 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(6939(a,1),9969(a,1,1)),flip(a)]. given #10448 (H,wt=35): 9971 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(9966(a,1),20(a,1)),flip(a)]. given #10449 (H,wt=35): 10240 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(10237(a,1),3337(a,1,2)),flip(a)]. given #10450 (H,wt=33): 11460 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(240,a,4433,a(flip),b,10240,a)]. given #10451 (H,wt=33): 11461 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(240,a,1319,a(flip),b,11460,a)]. given #10452 (H,wt=25): 11462 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1430(a,1),11461(a,1,2))]. given #10453 (H,wt=21): 11463 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(73,a,4638,a(flip),b,11462,a)]. given #10454 (H,wt=35): 10455 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10453(a,2),9947(a,2,1,1,2,1)),flip(a)]. given #10455 (H,wt=35): 10518 ((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(8115(a,1),10517(a,2,1))]. given #10456 (H,wt=35): 10589 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),10536(a,2,2,2))]. given #10457 (H,wt=33): 11465 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(7012(a,1),10589(a,2,2))]. given #10458 (H,wt=35): 10636 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(73,a,10632,a(flip),b,10391,a)]. given #10459 (H,wt=35): 10648 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(73,a,10644,a(flip),b,8145,a)]. given #10460 (H,wt=33): 11466 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(7644(a,1),10648(a,1,1))]. given #10461 (H,wt=31): 11467 K(x,K(y,T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(7484(a,1),11466(a,1,1))]. given #10462 (H,wt=35): 10657 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5451(a,1),10656(a,1,2,1)),flip(a)]. given #10463 (H,wt=35): 10715 ((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(2996(a,1),10704(a,1,1))]. given #10464 (H,wt=35): 10726 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(10716(a,1),4884(a,1,1,1))]. given #10465 (H,wt=35): 11094 (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(8776(a,2),11093(a,1,1))]. given #10466 (H,wt=35): 11209 ((x * y) * (z * K(u,z \ 1))) / (y * (z * K(u,z \ 1))) = R(R(x,y,z),y * z,K(u,z \ 1)). [para(6603(a,1),6606(a,1,2))]. given #10467 (H,wt=27): 11470 R(R(x,y,z),y * z,K(u,z \ 1)) != w | R(x,y,z * K(u,z \ 1)) = w. [para(11209(a,1),483(a,1))]. given #10468 (H,wt=35): 11225 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(7094(a,1),8963(a,2,2,1,2))]. given #10469 (H,wt=33): 11471 ((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(7042(a,1),11225(a,1,2,1)),flip(a)]. given #10470 (H,wt=33): 11472 ((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(6964(a,2),11471(a,2,2))]. given #10471 (H,wt=33): 11473 ((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(240,a,7487,a,b,11472,a)]. given #10472 (H,wt=31): 11474 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). [para(10332(a,1),11473(a,2,2))]. given #10473 (H,wt=35): 11459 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,K(x,y) * z)). [para(7560(a,1),9970(a,2,2))]. given #10474 (H,wt=35): 11464 (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(4075(a,1),10518(a,1,1))]. given #10475 (H,wt=33): 11475 (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(7611(a,1),11464(a,1,1,2))]. given #10476 (H,wt=19): 11476 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8584,a,11475,a),flip(a)]. given #10477 (H,wt=13): 11477 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9107(a,1),11476(a,1,1))]. given #10478 (H,wt=21): 11478 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(240,a,6358,a(flip),b,11477,a(flip)),flip(a)]. given #10479 (H,wt=21): 11480 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(240,a,6069,a(flip),b,11478,a)]. given #10480 (H,wt=25): 11481 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(240,a,9965,a,b,11480,a(flip)),flip(a)]. given #10481 (H,wt=21): 11482 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(8048,a,11481,a)]. given #10482 (H,wt=18): 11483 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(240,a,11233,a(flip),b,11482,a)]. given #10483 (H,wt=35): 11468 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(240,a,5524,a(flip),b,10657,a)]. given #10484 (H,wt=31): 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(62(a,1),11468(a,2,2,1,2))]. given #10485 (H,wt=29): 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6111(a,1),11485(a,1,2,1,1,2,1))]. given #10486 (H,wt=21): 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(240,a,10005,a(flip),b,11486,a(flip))]. given #10487 (H,wt=35): 11469 ((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(5183(a,1),10715(a,1,1,1))]. given #10488 (H,wt=31): 11488 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2280(a,1),11469(a,1,1,2)),flip(a)]. given #10489 (H,wt=27): 11489 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7006(a,1),11488(a,2,1))]. given #10490 (H,wt=27): 11490 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(240,a,8834,a,b,11489,a)]. given #10491 (H,wt=23): 11491 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2283(a,1),11490(a,1,1,1))]. given #10492 (H,wt=23): 11492 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5183(a,1),11491(a,1,1))]. given #10493 (H,wt=36): 5540 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(200(a,1),5539(a,1,1))]. given #10494 (H,wt=21): 11493 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(240,a,2085,a(flip),b,5540,a(flip))]. given #10495 (H,wt=36): 6248 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6012(a,1),4153(a,1,2,2)),flip(a)]. given #10496 (H,wt=34): 11496 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(4780(a,1),6248(a,2,2))]. given #10497 (H,wt=22): 11497 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(240,a,6000,a(flip),b,11496,a)]. given #10498 (H,wt=18): 11499 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(240,a,10207,a(flip),b,11497,a(flip)),flip(a)]. given #10499 (H,wt=18): 11500 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(11281,a,11499,a)]. given #10500 (H,wt=18): 11501 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(240,a,11357,a(flip),b,11500,a(flip)),flip(a)]. given #10501 (H,wt=18): 11502 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1648(a,2),11501(a,1,2))]. given #10502 (H,wt=18): 11503 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(10199(a,1),11502(a,1,2))]. given #10503 (H,wt=36): 8406 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(8365(a,1),5463(a,1,1,1,2))]. given #10504 (H,wt=25): 11504 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7246,a,8406,a),flip(a)]. given #10505 (H,wt=36): 8415 (((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(8409(a,1),1898(a,1,1,1,1))]. given #10506 (H,wt=24): 11506 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),8415(a,1,1,1)),flip(a)]. given #10507 (H,wt=36): 9646 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9634(a,2),441(a,1,2,2))]. given #10508 (H,wt=36): 10594 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(10593(a,1),1202(a,1,1,1)),flip(a)]. given #10509 (H,wt=29): 11509 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(240,a,1202,a(flip),b,10594,a)]. given #10510 (H,wt=29): 11510 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),11509(a,2,3))]. given #10511 (H,wt=36): 10748 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(240,a,4120,a(flip),b,10743,a)]. given #10512 (H,wt=36): 11508 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1711(a,2),9646(a,1,2,2))]. given #10513 (H,wt=33): 11511 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(106(a,1),11508(a,1,2)),flip(a)]. given #10514 (H,wt=37): 6257 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x. [para(6147(a,2),100(a,1,1,1)),flip(a)]. given #10515 (H,wt=31): 11512 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. [para(4780(a,1),6257(a,2,1))]. given #10516 (H,wt=31): 11513 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. [para(10337(a,1),11512(a,2,1))]. given #10517 (H,wt=31): 11514 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. [para(9026(a,1),11513(a,2,1,2))]. given #10518 (H,wt=27): 11515 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = K(z / y,(z \ y) * x). [hyper(240,a,7098,a(flip),b,11514,a)]. given #10519 (H,wt=25): 11516 K((x * (y / z)) \ x,T(x * (y / z),x)) = K(z / y,(z \ y) * x). [hyper(7296,a,11515,a)]. given #10520 (H,wt=23): 11518 K((x * (y / z)) \ x,(y / z) * x) = K(z / y,(z \ y) * x). [hyper(10296,a,11516,a)]. given #10521 (H,wt=21): 11519 K((x / y) \ 1,(x / y) * z) = K(y / x,(y \ x) * z). [hyper(6162,a,11518,a)]. given #10522 (H,wt=21): 11520 K((x / y) \ 1,z * (x / y)) = K(y / x,(y \ x) * z). [hyper(10291,a,11519,a)]. given #10523 (H,wt=19): 11523 K(x / y,(x \ y) * z) = K(x / y,z * (y / x)). [hyper(5597,a,11520,a),flip(a)]. given #10524 (H,wt=25): 11522 ((x / y) \ 1) * (z / ((x / y) \ 1)) = z * K(y / x,(y \ x) * z). [para(11519(a,1),9021(a,2,2))]. given #10525 (H,wt=37): 6541 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(5381(a,1),6539(a,1,2,1))]. given #10526 (H,wt=31): 11524 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(240,a,9581,a(flip),b,6541,a(flip))]. given #10527 (H,wt=37): 6557 ((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(6555(a,2),6015(a,2,1))]. given #10528 (H,wt=37): 7258 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7107(a,1),885(a,2,1,2))]. given #10529 (H,wt=31): 11526 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4798(a,1),7258(a,1,2,2,1))]. given #10530 (H,wt=29): 11528 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(10847(a,1),11526(a,1,2,2))]. given #10531 (H,wt=27): 11529 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(163,a,11528,a)]. given #10532 (H,wt=25): 11530 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),11529(a,2,1))]. given #10533 (H,wt=19): 11531 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(73,a,3276,a(flip),b,11530,a)]. given #10534 (H,wt=37): 7681 L(L(x,y,K(z,T(u,y))),K(z,T(u,y)) * y,w) = (w * (y * K(z,u))) \ (w * (K(z,T(u,y)) * (y * x))). [para(7611(a,1),442(a,1,1,2)),flip(a)]. given #10535 (H,wt=37): 8428 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(5187(a,1),7124(a,2,2))]. given #10536 (H,wt=37): 9017 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(9006(a,1),1971(a,1,2,1,1))]. given #10537 (H,wt=31): 11533 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1069(a,1),9017(a,2,1))]. given #10538 (H,wt=37): 9018 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(9006(a,2),1971(a,1,1))]. given #10539 (H,wt=27): 11534 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(240,a,11533,a(flip),b,9018,a(flip))]. given #10540 (H,wt=21): 11535 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1069(a,1),11534(a,1,1)),flip(a)]. given #10541 (H,wt=37): 11447 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(11445(a,1),11203(a,1,1,2,2))]. given #10542 (H,wt=35): 11536 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(11448(a,1),11447(a,1,2,1,1))]. given #10543 (H,wt=21): 11537 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(240,a,11203,a(flip),b,11536,a(flip))]. given #10544 (H,wt=37): 11532 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(8255(a,1),8428(a,1,1,1))]. given #10545 (H,wt=38): 5181 (x * (y * z)) \ ((T(x,u) * (K(u,x) * y)) * L(z,y,K(u,x))) = a(T(x,u),K(u,x) * y,L(z,y,K(u,x))). [para(5082(a,1),440(a,1,1))]. given #10546 (H,wt=32): 11538 a(T(x,y),K(y,x) * z,L(u,z,K(y,x))) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). [para(5082(a,1),5181(a,1,2,1)),flip(a)]. given #10547 (H,wt=38): 5738 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(831(a,2),5196(a,1,1))]. given #10548 (H,wt=38): 5795 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5074(a,1),460(a,1,1))]. given #10549 (H,wt=34): 11540 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4815(a,1),5795(a,1,2))]. given #10550 (H,wt=38): 6372 (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(6369(a,1),1730(a,1,1,2)),flip(a)]. given #10551 (H,wt=34): 11542 (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(240,a,10825,a(flip),b,6372,a)]. given #10552 (H,wt=34): 11543 (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(240,a,10688,a(flip),b,11542,a)]. given #10553 (H,wt=29): 11544 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9740(a,1),11543(a,2,2))]. given #10554 (H,wt=29): 11545 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6006(a,1),11544(a,1,1))]. given #10555 (H,wt=28): 11546 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6369(a,1),11545(a,1,2))]. given #10556 (H,wt=26): 11547 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(240,a,10935,a(flip),b,11546,a(flip)),flip(a)]. given #10557 (H,wt=21): 11548 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8279(a,1),11547(a,1,2))]. given #10558 (H,wt=18): 11549 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(10569(a,1),11548(a,1,2))]. given #10559 (H,wt=15): 11552 (x / y) * R(y,z,y) = x * a(y,z,y). [para(324(a,1),11549(a,2,2,3))]. given #10560 (H,wt=12): 11555 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,11549,a(flip),b,11552,a(flip)),flip(a)]. given #10561 (H,wt=15): 11554 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(240,a,9165,a,b,11552,a(flip)),flip(a)]. given #10562 (H,wt=14): 11559 (x * y) * a(y,x,y) = T(y * x,y). [hyper(240,a,1177,a(flip),b,11554,a(flip))]. given #10563 (H,wt=15): 11556 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),11552(a,1,1)),flip(a)]. given #10564 (H,wt=15): 11560 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),11554(a,1,2)),flip(a)]. given #10565 (H,wt=15): 11561 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(11554(a,1),1167(a,1,2))]. given #10566 (H,wt=20): 11557 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4173(a,1),11552(a,1,2))]. given #10567 (H,wt=21): 11551 (x / y) * R(y,z,y) != x * u | a(y,z,L(y,w,v5)) = u. [para(11549(a,2),19(a,1))]. given #10568 (H,wt=21): 11563 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(11556(a,1),11076(a,1,1))]. given #10569 (H,wt=19): 11565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(240,a,7052,a(flip),b,11563,a)]. given #10570 (H,wt=23): 11558 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(11552(a,2),10915(a,1,2))]. given #10571 (H,wt=21): 11567 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(240,a,9586,a(flip),b,11558,a(flip)),flip(a)]. given #10572 (H,wt=27): 11568 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(11567(a,1),6932(a,1,2))]. given #10573 (H,wt=25): 11569 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5240,a,11568,a),flip(a)]. given #10574 (H,wt=30): 11550 (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(10582(a,1),11548(a,1,2))]. given #10575 (H,wt=30): 11562 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(11559(a,1),871(a,1,1,2))]. given #10576 (H,wt=28): 11570 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3919(a,1),11562(a,1,1)),flip(a)]. given #10577 (H,wt=35): 11564 (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(10588(a,1),11557(a,1,2))]. given #10578 (H,wt=34): 11571 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(4274(a,1),11564(a,1,2,1)),flip(a)]. given #10579 (H,wt=38): 6607 (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),6605(a,2,1))]. given #10580 (H,wt=35): 11572 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(11355(a,1),6607(a,1,2,2))]. given #10581 (H,wt=32): 11573 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,L(z \ 1,y,x)). [para(11355(a,1),11572(a,2,2))]. given #10582 (H,wt=29): 11574 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = T(1 / L(z,y,x),u) \ 1. [hyper(240,a,11292,a(flip),b,11573,a)]. given #10583 (H,wt=26): 11575 (x * y) \ (x * (y * (z * K(u,z \ 1)))) = T(1 / L(z,y,x),u) \ 1. [para(11411(a,1),11574(a,1,2))]. given #10584 (H,wt=21): 11576 L(x * K(y,x \ 1),z,u) = T(1 / L(x,z,u),y) \ 1. [hyper(449,a,11575,a)]. given #10585 (H,wt=29): 11577 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / (1 / (T(1 / L(x,z,u),y) \ 1)). [para(11576(a,1),2436(a,2,2,2))]. given #10586 (H,wt=25): 11579 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / T(1 / L(x,z,u),y). [para(62(a,1),11577(a,2,2))]. given #10587 (H,wt=21): 11581 L(1 / T(1 / x,y),z,u) = 1 / T(1 / L(x,z,u),y). [para(7292(a,1),11579(a,1,1,2))]. given #10588 (H,wt=21): 11582 L(1 / T(1 / x,y),z,u) \ 1 = T(1 / L(x,z,u),y). [para(11581(a,2),65(a,1,1))]. given #10589 (H,wt=21): 11583 L(1 / T(x,y),z,u) \ 1 = T(1 / L(x \ 1,z,u),y). [para(62(a,1),11582(a,1,1,1,2,1))]. given #10590 (H,wt=21): 11584 L(1 / T(x,y),z,u) \ 1 = T(L(1 / x,z,u) \ 1,y). [para(2437(a,1),11583(a,2,1))]. given #10591 (H,wt=25): 11585 T(x * L(x \ 1,y,z),u) \ T(x,u) = T(L(1 / x,y,z) \ 1,u). [hyper(240,a,2384,a,b,11584,a(flip)),flip(a)]. given #10592 (H,wt=38): 6625 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). [hyper(886,a,6622,a),flip(a)]. given #10593 (H,wt=38): 8248 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6924(a,1),966(a,1,1,2))]. given #10594 (H,wt=33): 11587 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(189(a,1),8248(a,1,1)),flip(a)]. given #10595 (H,wt=33): 11588 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7560(a,1),11587(a,2,1,1))]. given #10596 (H,wt=33): 11589 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(240,a,40,a,b,11588,a)]. given #10597 (H,wt=26): 11590 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,10713,a(flip),b,11589,a(flip))]. given #10598 (H,wt=38): 8309 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(240,a,3128,a,b,7899,a)]. given #10599 (H,wt=38): 8904 (x \ 1) * (R(K(y,z),x \ K(x,y),u) * u) = ((((x \ 1) * (K(y,z) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. [para(8902(a,2),1898(a,2,2,1)),flip(a)]. given #10600 (H,wt=26): 11592 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(5866(a,1),8904(a,2,1,1))]. given #10601 (H,wt=24): 11593 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5078(a,1),11592(a,2,1))]. given #10602 (H,wt=22): 11594 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(8902(a,1),11593(a,1,2,1))]. given #10603 (H,wt=17): 11595 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(9775(a,1),11594(a,1,2,1))]. given #10604 (H,wt=18): 11596 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11595(a,1),5869(a,1,2))]. given #10605 (H,wt=15): 11598 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(240,a,4232,a(flip),b,11596,a(flip)),flip(a)]. given #10606 (H,wt=21): 11600 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(240,a,10528,a(flip),b,11598,a(flip)),flip(a)]. given #10607 (H,wt=22): 11602 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(73,a,11600,a(flip),b,199,a)]. given #10608 (H,wt=24): 11603 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11600(a,1),9989(a,1,2,1))]. given #10609 (H,wt=23): 11604 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(6174,a,11603,a),flip(a)]. given #10610 (H,wt=21): 11606 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(240,a,11487,a(flip),b,11604,a(flip)),flip(a)]. given #10611 (H,wt=19): 11607 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(240,a,10384,a(flip),b,11606,a(flip))]. given #10612 (H,wt=20): 11608 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(240,a,6706,a(flip),b,11607,a(flip))]. given #10613 (H,wt=17): 11609 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9522,a,11608,a),flip(a)]. given #10614 (H,wt=17): 11610 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11281,a,11609,a),flip(a)]. given #10615 (H,wt=17): 11611 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11281,a,11610,a),flip(a)]. given #10616 (H,wt=20): 11612 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(11610(a,1),11281(a,1))]. given #10617 (H,wt=21): 11613 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(10205(a,1),11611(a,2,2))]. given #10618 (H,wt=38): 9415 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(9412(a,1),2424(a,1,1))]. given #10619 (H,wt=36): 11614 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(9412(a,1),9415(a,1,2,1,1)),flip(a)]. given #10620 (H,wt=33): 11615 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(240,a,2424,a(flip),b,11614,a)]. given #10621 (H,wt=27): 11617 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1069(a,1),11615(a,2,1))]. given #10622 (H,wt=21): 11618 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1069(a,1),11617(a,1,1))]. given #10623 (H,wt=34): 11619 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(11618(a,1),11277(a,1,2,2))]. given #10624 (H,wt=38): 10123 R(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). [para(10072(a,1),726(a,1,1,3))]. given #10625 (H,wt=38): 10374 (K(K(x * y,z),(z * x) * y) * u) / ((((z * x) * y) * K(x * y,z)) \ u) = ((x * y) * z) * a(z,x,y). [hyper(240,a,10163,a,b,10168,a(flip)),flip(a)]. given #10626 (H,wt=38): 10637 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(493(a,1),10632(a,2,1))]. given #10627 (H,wt=38): 11353 (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(4231(a,1),11307(a,1,1))]. given #10628 (H,wt=36): 11621 (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(9322(a,1),11353(a,1,2))]. given #10629 (H,wt=34): 11622 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(4006(a,1),11621(a,1,2)),flip(a)]. given #10630 (H,wt=34): 11623 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),11622(a,2,2))]. given #10631 (H,wt=30): 11624 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(240,a,9131,a(flip),b,11623,a)]. given #10632 (H,wt=30): 11625 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). [hyper(240,a,11314,a(flip),b,11624,a)]. given #10633 (H,wt=28): 11626 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(240,a,7356,a(flip),b,11625,a)]. given #10634 (H,wt=26): 11627 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(6979(a,1),11626(a,1,2,3))]. given #10635 (H,wt=22): 11628 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4032(a,1),11627(a,1,2,3))]. given #10636 (H,wt=26): 11629 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(240,a,11449,a,b,11628,a(flip)),flip(a)]. given #10637 (H,wt=26): 11630 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11248(a,1),11629(a,1,1))]. given #10638 (H,wt=20): 11631 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3190(a,1),11630(a,1,2)),flip(a)]. given #10639 (H,wt=20): 11632 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(240,a,5183,a(flip),b,11631,a)]. given #10640 (H,wt=20): 11633 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [hyper(240,a,11314,a(flip),b,11632,a)]. given #10641 (H,wt=18): 11634 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(240,a,4809,a,b,11633,a)]. given #10642 (H,wt=38): 11505 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(4924(a,1),11504(a,1,2)),flip(a)]. given #10643 (H,wt=34): 11635 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),11505(a,2,1,1))]. given #10644 (H,wt=30): 11636 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(240,a,9091,a(flip),b,11635,a)]. given #10645 (H,wt=26): 11638 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),11636(a,1,1,1))]. given #10646 (H,wt=22): 11639 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11638(a,1,2,2))]. given #10647 (H,wt=25): 11640 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5644(a,1),11639(a,1,2,1,3))]. given #10648 (H,wt=38): 11586 ((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(73,a,11585,a(flip),b,7399,a)]. given #10649 (H,wt=38): 11620 (K(x,K(y * z,(x * y) * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). [para(7490(a,1),10374(a,1,1,1))]. given #10650 (H,wt=36): 11641 (K(x,K(y * z,y * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). [para(8806(a,1),11620(a,1,1,1))]. given #10651 (H,wt=30): 11642 (K(x,1) * y) / ((((x * z) * u) * K(z * u,x)) \ y) = ((z * u) * x) * a(x,z,u). [para(132(a,1),11641(a,1,1,1,2))]. given #10652 (H,wt=28): 11644 (1 * x) / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [para(152(a,1),11642(a,1,1,1))]. given #10653 (H,wt=26): 11645 x / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [hyper(302,a,11644,a)]. given #10654 (H,wt=25): 11647 x / ((R(y,z,u) * T(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [para(5962(a,1),11645(a,1,2,1))]. given #10655 (H,wt=21): 11648 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(298,a,11647,a)]. given #10656 (H,wt=26): 11649 R(x,x \ y,z) * T((x \ y) * z,x) = K((x \ y) * z,x) * (y * z). [hyper(240,a,10179,a(flip),b,11648,a(flip))]. given #10657 (H,wt=23): 11650 K((x \ y) * z,x) * (y * z) = (y * z) * K((x \ y) * z,x). [hyper(6157,a,11649,a),flip(a)]. given #10658 (H,wt=25): 11652 (x * (y * z)) / ((y * z) * K((x \ y) * z,x)) = T(x,(x \ y) * z). [para(11650(a,1),5083(a,1,2))]. given #10659 (H,wt=30): 11651 (x * y) * K((z \ x) * y,z) != u * w | u \ (K((z \ x) * y,z) * (x * y)) = w. [para(11650(a,1),517(a,1))]. given #10660 (H,wt=39): 4601 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(4600(a,1),658(a,2,1))]. given #10661 (H,wt=36): 11653 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),x \ 1) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [hyper(4041,a,4601,a)]. given #10662 (H,wt=24): 11654 ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = z / R(x \ 1,x,y). [hyper(256,a,11653,a)]. given #10663 (H,wt=39): 6418 ((x * y) \ L(R(y,x,x \ 1),x,y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(4310(a,1),6414(a,1,1,2))]. given #10664 (H,wt=33): 11656 (x \ K(y,x * y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(6341(a,1),6418(a,1,1))]. given #10665 (H,wt=31): 11657 (x \ K(y,x * y)) \ K(x \ (x * y),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(6470(a,1),11656(a,1,2))]. given #10666 (H,wt=27): 11658 ((x * y) \ ((x * y) * (x \ 1))) \ 1 = (x \ K(y,x * y)) \ K(y,x * y). [para(13(a,1),11657(a,1,2,1)),flip(a)]. given #10667 (H,wt=23): 11659 ((x * y) \ ((x * y) * (x \ 1))) \ 1 = T(x,x \ K(y,x * y)). [hyper(240,a,123,a,b,11658,a)]. given #10668 (H,wt=15): 11661 T(x,x \ K(y,x * y)) = (x \ 1) \ 1. [para(13(a,1),11659(a,1,1)),flip(a)]. given #10669 (H,wt=15): 11663 T(x,x \ K(y,y * x)) = (x \ 1) \ 1. [para(6682(a,1),11661(a,1,2,2))]. given #10670 (H,wt=25): 11664 T(1 / (x \ y),(1 / (x \ y)) \ K(y,x)) = ((1 / (x \ y)) \ 1) \ 1. [para(6203(a,1),11663(a,1,2,2))]. given #10671 (H,wt=23): 11665 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = ((1 / (x \ y)) \ 1) \ 1. [hyper(396,a,11664,a)]. given #10672 (H,wt=19): 11666 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = (x \ y) \ 1. [para(65(a,1),11665(a,2,1))]. given #10673 (H,wt=17): 11667 T(1 / (x \ y),x \ T(y,x)) = (x \ y) \ 1. [hyper(240,a,5837,a(flip),b,11666,a(flip)),flip(a)]. given #10674 (H,wt=23): 11669 ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = 1 / (x \ y). [para(11667(a,1),4825(a,1,1))]. given #10675 (H,wt=15): 11670 K(x,y) / (y \ T(x,y)) = 1 / (y \ x). [hyper(240,a,6415,a(flip),b,11669,a(flip)),flip(a)]. given #10676 (H,wt=39): 6534 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(6533(a,1),1922(a,1,1)),flip(a)]. given #10677 (H,wt=32): 11671 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6533(a,1),6534(a,2,2,1,1))]. given #10678 (H,wt=28): 11672 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11671(a,2,2,1))]. given #10679 (H,wt=26): 11674 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(240,a,3652,a(flip),b,11672,a)]. given #10680 (H,wt=22): 11675 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11674(a,1,1,2,1))]. given #10681 (H,wt=20): 11676 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3652(a,1),11675(a,1,1))]. given #10682 (H,wt=17): 11677 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(2269,a,11676,a)]. given #10683 (H,wt=33): 11678 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11677(a,1),4345(a,1,1,1))]. given #10684 (H,wt=32): 11679 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(736,a,11678,a)]. given #10685 (H,wt=29): 11680 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(118(a,1),11679(a,1,1,2))]. given #10686 (H,wt=22): 11681 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11680(a,1,1)),flip(a)]. given #10687 (H,wt=39): 8877 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(7883(a,1),7223(a,1,2)),flip(a)]. given #10688 (H,wt=39): 9094 ((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(9092(a,1),6560(a,2,2,2,1,1))]. given #10689 (H,wt=29): 11683 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(240,a,9734,a(flip),b,9094,a(flip)),flip(a)]. given #10690 (H,wt=27): 11684 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11222,a,11683,a)]. given #10691 (H,wt=27): 11687 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9692(a,1),11684(a,2,2,2))]. given #10692 (H,wt=23): 11688 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11687(a,2,2,2,1))]. given #10693 (H,wt=19): 11689 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11688(a,2,2))]. given #10694 (H,wt=17): 11691 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(240,a,9721,a(flip),b,11689,a)]. given #10695 (H,wt=20): 11693 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11691(a,1),4267(a,1))]. given #10696 (H,wt=21): 11692 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(240,a,11223,a(flip),b,11691,a(flip))]. given #10697 (H,wt=39): 9575 (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(73,a,9574,a,b,1575,a)]. given #10698 (H,wt=39): 10351 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),x * (y / x)). [hyper(401,a,10187,a,b,10337,a),flip(a)]. given #10699 (H,wt=37): 11696 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),T(y,x)). [hyper(240,a,10303,a(flip),b,10351,a)]. given #10700 (H,wt=39): 10973 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(10939(a,1),8949(a,1,2,1,1))]. given #10701 (H,wt=35): 11697 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(240,a,4651,a(flip),b,10973,a(flip))]. given #10702 (H,wt=31): 11699 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(240,a,3486,a(flip),b,11697,a)]. given #10703 (H,wt=25): 11700 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2908(a,1),11699(a,1,2,1)),flip(a)]. given #10704 (H,wt=39): 11204 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(9452(a,1),11203(a,1,1,2,2))]. given #10705 (H,wt=39): 11682 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(7451(a,1),8877(a,2,1))]. given #10706 (H,wt=35): 11703 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(8281,a,11682,a(flip)),flip(a)]. given #10707 (H,wt=39): 11695 (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(5183(a,1),9575(a,1,1,2))]. given #10708 (H,wt=39): 11702 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(9997(a,1),11204(a,1,2,1,1))]. given #10709 (H,wt=23): 11705 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(240,a,11203,a(flip),b,11702,a(flip))]. given #10710 (H,wt=23): 11706 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8824,a,11705,a),flip(a)]. given #10711 (H,wt=19): 11707 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7796,a,11706,a)]. given #10712 (H,wt=19): 11708 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8625,a,11707,a),flip(a)]. given #10713 (H,wt=28): 11709 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11708(a,1),11001(a,1,1))]. given #10714 (H,wt=23): 11710 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(240,a,11000,a(flip),b,11709,a(flip)),flip(a)]. given #10715 (H,wt=23): 11711 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(10417,a,11710,a),flip(a)]. given #10716 (H,wt=22): 11712 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(240,a,6542,a(flip),b,11711,a(flip))]. given #10717 (H,wt=17): 11713 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11712(a,1,2,1)),flip(a)]. given #10718 (H,wt=17): 11716 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6201(a,1),11713(a,1,1)),flip(a)]. given #10719 (H,wt=19): 11715 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5362(a,1),11713(a,1,1)),flip(a)]. given #10720 (H,wt=19): 11718 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(240,a,5523,a,b,11715,a(flip)),flip(a)]. given #10721 (H,wt=27): 11717 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(10514(a,1),11713(a,1,1))]. given #10722 (H,wt=23): 11719 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11716(a,1),11717(a,1,1)),flip(a)]. given #10723 (H,wt=29): 11714 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(495(a,1),11713(a,2,2,1))]. given #10724 (H,wt=29): 11720 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5523(a,1),11714(a,1,1))]. given #10725 (H,wt=39): 11704 ((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(11185(a,1),11695(a,1,1))]. given #10726 (H,wt=40): 4051 ((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(4049(a,1),1762(a,1,1,2,1))]. given #10727 (H,wt=32): 11721 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3949(a,1),4051(a,1,1,2)),flip(a)]. given #10728 (H,wt=22): 11722 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(240,a,2669,a(flip),b,11721,a)]. given #10729 (H,wt=18): 11723 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4049(a,1),11722(a,1,3))]. given #10730 (H,wt=30): 11724 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11723(a,1),6509(a,1,1,1))]. given #10731 (H,wt=19): 11725 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11723(a,1),11724(a,1,2))]. given #10732 (H,wt=17): 11726 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(280,a,11725,a)]. given #10733 (H,wt=17): 11727 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(240,a,4457,a(flip),b,11726,a(flip)),flip(a)]. given #10734 (H,wt=19): 11728 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11727(a,1),179(a,1,2))]. given #10735 (H,wt=40): 4063 ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(1627(a,1),4003(a,1,1,2))]. given #10736 (H,wt=40): 4253 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(2716(a,1),4252(a,2,2))]. given #10737 (H,wt=36): 11730 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),4253(a,1,1,2))]. given #10738 (H,wt=36): 11731 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),11730(a,1,1))]. given #10739 (H,wt=35): 11732 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2710(a,1),11731(a,1,1))]. given #10740 (H,wt=31): 11733 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11732(a,1,2,2,2))]. given #10741 (H,wt=31): 11734 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11733(a,1,2,2))]. given #10742 (H,wt=30): 11735 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2710(a,1),11734(a,1,2,2))]. given #10743 (H,wt=22): 11736 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11735(a,1,2))]. given #10744 (H,wt=25): 11738 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11736(a,1),4691(a,1,1)),flip(a)]. given #10745 (H,wt=25): 11739 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11738(a,1),65(a,1,1))]. given #10746 (H,wt=22): 11740 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(240,a,3321,a(flip),b,11739,a(flip)),flip(a)]. given #10747 (H,wt=40): 5734 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(3214(a,2),5730(a,1,1,2))]. given #10748 (H,wt=38): 11741 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(5119(a,1),5734(a,2,2,2))]. given #10749 (H,wt=29): 11742 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6450(a,1),11741(a,1,1,2,1)),flip(a)]. given #10750 (H,wt=27): 11743 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4977(a,1),11742(a,2,1,2))]. given #10751 (H,wt=19): 11745 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(7090(a,1),11743(a,2,1))]. given #10752 (H,wt=19): 11746 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(90,a,11745,a)]. given #10753 (H,wt=33): 11747 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(11746(a,1),8179(a,1,1,1)),flip(a)]. given #10754 (H,wt=29): 11748 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5774(a,1),11747(a,2,1))]. given #10755 (H,wt=29): 11749 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5571(a,1),11748(a,1,2,2))]. given #10756 (H,wt=25): 11750 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7908(a,1),11749(a,1,2))]. given #10757 (H,wt=23): 11751 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7982(a,1),11750(a,1,2)),flip(a)]. given #10758 (H,wt=21): 11752 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(8152,a,11751,a(flip)),flip(a)]. given #10759 (H,wt=33): 11754 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11752(a,1),6114(a,1,2,1))]. given #10760 (H,wt=40): 8172 (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(8148(a,1),4859(a,1,1,1))]. given #10761 (H,wt=40): 9063 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(401,a,8871,a(flip),b,106,a),flip(a)]. given #10762 (H,wt=35): 11758 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(5948(a,1),9063(a,1,1)),flip(a)]. given #10763 (H,wt=30): 11759 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(240,a,5160,a(flip),b,11758,a)]. given #10764 (H,wt=28): 11761 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(240,a,4815,a(flip),b,11759,a)]. given #10765 (H,wt=23): 11762 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(5948(a,1),11761(a,1,2))]. given #10766 (H,wt=21): 11763 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(240,a,7692,a(flip),b,11762,a(flip)),flip(a)]. given #10767 (H,wt=19): 11765 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(240,a,11303,a(flip),b,11763,a)]. given #10768 (H,wt=17): 11766 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11765(a,1),4838(a,1,1))]. given #10769 (H,wt=22): 11767 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11765(a,1),4930(a,1,1))]. given #10770 (H,wt=21): 11768 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(240,a,11634,a(flip),b,11767,a)]. given #10771 (H,wt=40): 9217 (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(4559(a,2),9157(a,2,2))]. given #10772 (H,wt=40): 9349 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(9348(a,1),454(a,1,1,1))]. given #10773 (H,wt=40): 10721 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(10717(a,1),1209(a,1,2,2)),flip(a)]. given #10774 (H,wt=40): 11541 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11540(a,1),11136(a,1,2,2))]. given #10775 (H,wt=29): 11770 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(240,a,7502,a(flip),b,11541,a(flip))]. given #10776 (H,wt=29): 11771 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7489,a,11770,a)]. given #10777 (H,wt=27): 11773 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8556(a,1),11771(a,1,2))]. given #10778 (H,wt=23): 11774 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,8941,a(flip),b,11773,a(flip)),flip(a)]. given #10779 (H,wt=40): 11729 (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6697(a,1),4063(a,1,1))]. given #10780 (H,wt=40): 11757 (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(7505(a,1),8172(a,1,1,2))]. given #10781 (H,wt=36): 11776 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(7859(a,1),11757(a,1,1)),flip(a)]. given #10782 (H,wt=36): 11777 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(6964(a,2),11776(a,2,2))]. given #10783 (H,wt=36): 11778 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(240,a,7175,a(flip),b,11777,a)]. given #10784 (H,wt=36): 11779 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(7507(a,1),11778(a,1,1))]. given #10785 (H,wt=23): 11780 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(240,a,5967,a(flip),b,11779,a(flip))]. given #10786 (H,wt=40): 11769 (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(5183(a,1),9217(a,1,1,2,2))]. given #10787 (H,wt=36): 11782 (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(5068(a,1),11769(a,1,1,2))]. given #10788 (H,wt=32): 11783 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9906(a,1),11782(a,1,2))]. given #10789 (H,wt=30): 11784 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8608(a,1),11783(a,1,2))]. given #10790 (H,wt=30): 11786 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5183(a,1),11784(a,2,2,1,1))]. given #10791 (H,wt=26): 11787 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7565(a,1),11786(a,2,2,1))]. given #10792 (H,wt=26): 11788 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(6903(a,2),11787(a,2,2))]. given #10793 (H,wt=22): 11789 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11788(a,2,2,1))]. given #10794 (H,wt=40): 11775 (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6717(a,1),11729(a,1,1))]. given #10795 (H,wt=41): 4565 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1578(a,1),4530(a,2,1,1))]. given #10796 (H,wt=41): 6365 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(6364(a,1),707(a,1,2,1)),flip(a)]. given #10797 (H,wt=33): 11791 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),6365(a,2,2,1,2))]. given #10798 (H,wt=31): 11792 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(240,a,192,a(flip),b,11791,a)]. given #10799 (H,wt=25): 11793 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(192(a,1),11792(a,1,2))]. given #10800 (H,wt=25): 11794 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5183(a,1),11793(a,1,2,2))]. given #10801 (H,wt=41): 9662 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u). [para(6089(a,2),9610(a,2,1,1)),flip(a)]. given #10802 (H,wt=39): 11796 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). [para(6966(a,1),9662(a,2,1))]. given #10803 (H,wt=37): 11797 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). [para(10270(a,1),11796(a,2,1))]. given #10804 (H,wt=37): 11798 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(z \ ((x \ y) \ z),z * (x \ y)) * (z \ u). [para(7293(a,1),11797(a,2,1))]. given #10805 (H,wt=35): 11799 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K((x \ y) \ 1,(x \ y) * z) * (z \ u). [para(10279(a,1),11798(a,2,1))]. given #10806 (H,wt=33): 11800 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(6019(a,1),11799(a,2,1))]. given #10807 (H,wt=27): 11801 (K((x \ y) * z,y \ x) * z) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(4780(a,1),11800(a,1,1))]. given #10808 (H,wt=27): 11802 (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). [para(10328(a,1),11801(a,1,1))]. given #10809 (H,wt=41): 10246 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(784(a,1),10218(a,1,1,2,2))]. given #10810 (H,wt=38): 11803 L(x \ T(y,x \ 1),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(6107(a,1),10246(a,1,1,2))]. given #10811 (H,wt=34): 11804 (x * ((y * x) \ y)) \ (z * ((x * ((y * x) \ y)) / x)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(13(a,1),11803(a,1,3)),flip(a)]. given #10812 (H,wt=31): 11807 (x * ((y * x) \ y)) \ (z * L(1 / x,x,y)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(784(a,1),11804(a,1,2,2))]. given #10813 (H,wt=33): 11808 (x * ((y * x) \ y)) \ ((z * K(x \ 1,z)) * L(1 / x,x,y)) = L(x \ z,x,(y * x) \ y). [para(4777(a,1),11807(a,2,1,2))]. given #10814 (H,wt=33): 11809 (x * ((y * x) \ y)) \ (z * (K(x \ 1,z) * L(1 / x,x,y))) = L(x \ z,x,(y * x) \ y). [para(5383(a,1),11808(a,1,2))]. given #10815 (H,wt=29): 11810 (x * ((y * x) \ y)) \ (z * L(T(1 / x,z),x,y)) = L(x \ z,x,(y * x) \ y). [para(6061(a,1),11809(a,1,2,2))]. given #10816 (H,wt=27): 11811 (x * ((y * x) \ y)) \ (L(1 / x,x,y) * z) = L(x \ z,x,(y * x) \ y). [para(192(a,1),11810(a,1,2))]. given #10817 (H,wt=41): 10252 (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(9090(a,1),10020(a,1,1,2))]. given #10818 (H,wt=31): 11812 (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(1442(a,1),10252(a,1,1))]. given #10819 (H,wt=19): 11813 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(240,a,8267,a(flip),b,11812,a)]. given #10820 (H,wt=19): 11815 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11813(a,1),14(a,1,2))]. given #10821 (H,wt=37): 11816 (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(11815(a,1),11704(a,1,1))]. given #10822 (H,wt=35): 11817 (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(9574(a,1),11816(a,1,2))]. given #10823 (H,wt=19): 11818 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1118,a,11817,a)]. given #10824 (H,wt=19): 11819 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(240,a,5183,a(flip),b,11818,a)]. given #10825 (H,wt=29): 11820 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(240,a,8474,a,b,11819,a(flip)),flip(a)]. given #10826 (H,wt=13): 11821 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3232,a,11820,a),flip(a)]. given #10827 (H,wt=19): 11822 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7805,a,11821,a),flip(a)]. given #10828 (H,wt=15): 11824 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7782,a,11822,a),flip(a)]. given #10829 (H,wt=29): 11826 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(11824(a,1),9800(a,1,1))]. given #10830 (H,wt=27): 11827 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(5084,a,11826,a)]. given #10831 (H,wt=26): 11829 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11827(a,1),9722(a,1))]. given #10832 (H,wt=27): 11828 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9781(a,1),11826(a,1,2,2))]. given #10833 (H,wt=27): 11830 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9726(a,1),11828(a,1,2))]. given #10834 (H,wt=19): 11831 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5200,a,11830,a)]. given #10835 (H,wt=19): 11832 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11829,a,11831,a)]. given #10836 (H,wt=19): 11834 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11832(a,1),9746(a,1,1)),flip(a)]. given #10837 (H,wt=42): 3300 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(608(a,1),3280(a,1,1,2))]. given #10838 (H,wt=29): 11836 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6857(a,1),3300(a,1,1))]. given #10839 (H,wt=42): 6553 (((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(2544(a,2),6058(a,1,2,2,1))]. given #10840 (H,wt=38): 11838 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2538(a,1),6553(a,1,1))]. given #10841 (H,wt=42): 6788 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(6781(a,1),651(a,1,2))]. given #10842 (H,wt=34): 11839 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(7418(a,1),6788(a,1,1,1))]. given #10843 (H,wt=26): 11840 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3923(a,1),11839(a,1,1)),flip(a)]. given #10844 (H,wt=20): 11841 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(240,a,7757,a(flip),b,11840,a)]. given #10845 (H,wt=42): 9854 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(9852(a,1),611(a,1,1,1)),flip(a)]. given #10846 (H,wt=37): 11843 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(240,a,479,a(flip),b,9854,a)]. given #10847 (H,wt=33): 11844 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(240,a,1671,a(flip),b,11843,a(flip)),flip(a)]. given #10848 (H,wt=33): 11845 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5199(a,1),11844(a,1,1,2,1))]. given #10849 (H,wt=31): 11846 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5502(a,1),11845(a,1,1,2,1))]. given #10850 (H,wt=25): 11847 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7632(a,1),11846(a,1,1,2,1)),flip(a)]. given #10851 (H,wt=25): 11848 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(240,a,4031,a(flip),b,11847,a(flip))]. given #10852 (H,wt=41): 11850 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11848(a,1),1181(a,2,1,2)),flip(a)]. given #10853 (H,wt=41): 11851 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5183(a,1),11850(a,1,1))]. given #10854 (H,wt=33): 11852 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9718(a,1),11851(a,1,1))]. given #10855 (H,wt=15): 11853 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(298,a,11852,a)]. given #10856 (H,wt=23): 11856 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(240,a,6443,a(flip),b,11853,a(flip)),flip(a)]. given #10857 (H,wt=23): 11857 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(240,a,8134,a(flip),b,11856,a)]. given #10858 (H,wt=21): 11858 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(240,a,6844,a(flip),b,11857,a(flip))]. given #10859 (H,wt=19): 11860 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(121(a,1),11858(a,1,2,2,1)),flip(a)]. given #10860 (H,wt=19): 11861 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(240,a,11858,a,b,11860,a(flip)),flip(a)]. given #10861 (H,wt=19): 11862 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(8135,a,11861,a)]. given #10862 (H,wt=42): 11391 (((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(11386(a,1),6620(a,1,2,1)),flip(a)]. given #10863 (H,wt=38): 11864 (((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),11391(a,2,2,2))]. given #10864 (H,wt=42): 11795 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(240,a,2424,a(flip),b,11794,a)]. given #10865 (H,wt=40): 11866 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(4977(a,1),11795(a,2,1,2,1))]. given #10866 (H,wt=36): 11867 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(10753(a,1),11866(a,2,1))]. given #10867 (H,wt=34): 11868 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(6653(a,1),11867(a,1,2,2,2,1))]. given #10868 (H,wt=26): 11869 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(240,a,11794,a(flip),b,11868,a(flip)),flip(a)]. given #10869 (H,wt=19): 11870 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(240,a,11188,a(flip),b,11869,a(flip)),flip(a)]. given #10870 (H,wt=19): 11871 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11248(a,1),11870(a,1,3))]. given #10871 (H,wt=24): 11872 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(11871(a,2),106(a,1,2))]. given #10872 (H,wt=27): 11873 (x * y) * a(z,u,K(w,L(v5,y,x))) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(11871(a,2),230(a,1,2))]. given #10873 (H,wt=43): 8427 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(948(a,2),7124(a,2,2))]. given #10874 (H,wt=41): 11874 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(4977(a,1),8427(a,1,1,1,2,1))]. given #10875 (H,wt=41): 11875 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(8483(a,1),11874(a,1,1,1))]. given #10876 (H,wt=41): 11876 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(10742(a,1),11875(a,1,1))]. given #10877 (H,wt=37): 11877 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(10753(a,1),11876(a,1,1,2))]. given #10878 (H,wt=35): 11878 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(4977(a,1),11877(a,1,3,1))]. given #10879 (H,wt=25): 11879 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(240,a,10693,a(flip),b,11878,a(flip))]. given #10880 (H,wt=23): 11881 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4980(a,1),11879(a,1,2,1))]. given #10881 (H,wt=21): 11882 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4980(a,1),11881(a,1,2,2,1))]. given #10882 (H,wt=17): 11883 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10756(a,1),11882(a,1,2))]. given #10883 (H,wt=25): 11884 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(11883(a,1),400(a,1,1))]. given #10884 (H,wt=43): 8917 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(629(a,1),8144(a,1,1,2,1)),flip(a)]. given #10885 (H,wt=40): 11885 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(3330(a,1),8917(a,2,1,2))]. given #10886 (H,wt=28): 11886 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(629(a,1),11885(a,1,1,2,2))]. given #10887 (H,wt=26): 11887 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3355(a,1),11886(a,1,1,2))]. given #10888 (H,wt=24): 11888 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(5628,a,11887,a),flip(a)]. given #10889 (H,wt=43): 10367 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(7884(a,1),10344(a,1,2,1)),flip(a)]. given #10890 (H,wt=41): 11889 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(4815(a,1),10367(a,2,1))]. given #10891 (H,wt=37): 11890 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(122(a,1),11889(a,2,1))]. given #10892 (H,wt=43): 10690 (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(10687(a,1),2366(a,1,1,1))]. given #10893 (H,wt=36): 11891 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(10687(a,1),10690(a,1,1,2,1,1)),flip(a)]. given #10894 (H,wt=32): 11892 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),11891(a,2,1,2,1))]. given #10895 (H,wt=25): 11894 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(10687(a,1),11892(a,1,1)),flip(a)]. given #10896 (H,wt=25): 11895 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2167(a,1),11894(a,2,2))]. given #10897 (H,wt=25): 11896 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(240,a,10747,a,b,11895,a(flip)),flip(a)]. given #10898 (H,wt=25): 11898 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(308,a,11896,a),flip(a)]. given #10899 (H,wt=37): 11897 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(11895(a,1),11532(a,1,1))]. given #10900 (H,wt=33): 11899 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(5187(a,1),11897(a,1,1,2))]. given #10901 (H,wt=21): 11900 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(240,a,10692,a(flip),b,11899,a(flip))]. given #10902 (H,wt=19): 11901 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4093,a,11900,a)]. given #10903 (H,wt=12): 11903 T(x,a(K(y,z),u,u \ 1)) = x. [para(11901(a,1),9884(a,1,2))]. given #10904 (H,wt=12): 11904 T(x,a(K(y,z),u \ 1,u)) = x. [para(4701(a,1),11903(a,1,2))]. given #10905 (H,wt=19): 11905 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,11904,a)]. given #10906 (H,wt=23): 11906 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(240,a,3560,a,b,11905,a)]. given #10907 (H,wt=27): 11907 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5185(a,2),11906(a,1,1))]. given #10908 (H,wt=29): 11908 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(240,a,9422,a,b,11907,a(flip)),flip(a)]. given #10909 (H,wt=33): 11909 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(240,a,7000,a,b,11908,a(flip)),flip(a)]. given #10910 (H,wt=16): 11910 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9971,a,11909,a)]. given #10911 (H,wt=16): 11911 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2522(a,1),11910(a,1,2,2))]. given #10912 (H,wt=16): 11912 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(240,a,7507,a,b,11911,a)]. given #10913 (H,wt=17): 11914 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),11912(a,1,2,2))]. given #10914 (H,wt=17): 11915 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5292(a,1),11914(a,1,2)),flip(a)]. given #10915 (H,wt=17): 11916 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5295(a,2),11914(a,1,2))]. given #10916 (H,wt=17): 11917 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8079,a,11915,a)]. given #10917 (H,wt=17): 11918 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7545,a,11915,a)]. given #10918 (H,wt=17): 11919 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),11917(a,2,2,2))]. given #10919 (H,wt=17): 11920 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5302(a,2),11917(a,1,2))]. given #10920 (H,wt=17): 11921 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7489,a,11919,a)]. given #10921 (H,wt=17): 11923 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(240,a,7974,a(flip),b,11921,a(flip)),flip(a)]. given #10922 (H,wt=16): 11926 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11923(a,1),9538(a,1,1))]. given #10923 (H,wt=16): 11927 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7507(a,1),11926(a,1,1))]. given #10924 (H,wt=16): 11929 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(240,a,8716,a(flip),b,11927,a(flip)),flip(a)]. given #10925 (H,wt=16): 11930 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),11929(a,1,2,2,2))]. given #10926 (H,wt=17): 11925 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11923(a,1),9274(a,1,1))]. given #10927 (H,wt=17): 11931 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7539,a,11925,a)]. given #10928 (H,wt=17): 11932 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(62(a,1),11925(a,1,2)),flip(a)]. given #10929 (H,wt=17): 11934 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7450(a,1),11931(a,1,1))]. given #10930 (H,wt=17): 11935 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7491(a,1),11932(a,2,1))]. given #10931 (H,wt=17): 11936 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9276,a,11934,a)]. given #10932 (H,wt=17): 11937 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11935(a,1),65(a,1,1))]. given #10933 (H,wt=14): 11939 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4880,a,11937,a)]. given #10934 (H,wt=12): 11940 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,11939,a)]. given #10935 (H,wt=12): 11941 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),11940(a,1,3))]. given #10936 (H,wt=12): 11942 a(K(K(x,y),z),u,u \ z) = 1. [para(5682(a,2),11940(a,1,1))]. given #10937 (H,wt=12): 11943 a(K(x,K(y,z * u)),z,u) = 1. [para(7450(a,1),11941(a,1,1))]. given #10938 (H,wt=18): 11913 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11911(a,1),7493(a,1,2)),flip(a)]. given #10939 (H,wt=16): 11945 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(240,a,7454,a(flip),b,11913,a)]. given #10940 (H,wt=19): 11946 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(240,a,8957,a(flip),b,11945,a(flip)),flip(a)]. given #10941 (H,wt=19): 11948 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7600(a,1),11946(a,1,2)),flip(a)]. given #10942 (H,wt=17): 11949 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7622(a,1),11948(a,1,2)),flip(a)]. given #10943 (H,wt=17): 11951 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5292(a,1),11949(a,1,2)),flip(a)]. given #10944 (H,wt=17): 11952 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(240,a,7869,a(flip),b,11951,a(flip))]. given #10945 (H,wt=21): 11950 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8007,a,11949,a),flip(a)]. given #10946 (H,wt=19): 11954 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(6912,a,11950,a),flip(a)]. given #10947 (H,wt=17): 11955 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8013,a,11954,a)]. given #10948 (H,wt=19): 11956 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(240,a,4800,a(flip),b,11955,a)]. given #10949 (H,wt=17): 11957 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4858,a,11956,a)]. given #10950 (H,wt=22): 11944 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(240,a,7533,a,b,11942,a)]. given #10951 (H,wt=27): 11958 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11930(a,1),11944(a,2,2))]. given #10952 (H,wt=27): 11959 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7491(a,2),11958(a,2,2))]. given #10953 (H,wt=27): 11960 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5682(a,1),11959(a,1,1))]. given #10954 (H,wt=29): 11922 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11920(a,1),11304(a,1,3))]. given #10955 (H,wt=36): 11938 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(11535(a,1),11936(a,1,1,1,1))]. given #10956 (H,wt=31): 11961 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5080(a,2),11938(a,1,1))]. given #10957 (H,wt=31): 11962 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7766,a,11961,a)]. given #10958 (H,wt=29): 11963 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(240,a,11918,a(flip),b,11962,a(flip)),flip(a)]. given #10959 (H,wt=25): 11964 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11963(a,1,2,2)),flip(a)]. given #10960 (H,wt=25): 11965 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(7474,a,11964,a)]. given #10961 (H,wt=28): 11966 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11964(a,1),7474(a,1))]. given #10962 (H,wt=43): 11495 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6699(a,1),11493(a,1,1,2,1,2))]. given #10963 (H,wt=33): 11967 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4470(a,1),11495(a,1,1))]. given #10964 (H,wt=23): 11969 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6699(a,1),11967(a,1,2,1,2))]. given #10965 (H,wt=17): 11970 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(5553,a,11969,a)]. given #10966 (H,wt=17): 11971 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(73,a,11969,a(flip),b,5542,a(flip))]. given #10967 (H,wt=21): 11972 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(240,a,5901,a,b,11970,a),flip(a)]. given #10968 (H,wt=15): 11974 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2145,a,11972,a)]. given #10969 (H,wt=15): 11975 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(240,a,10891,a(flip),b,11974,a)]. given #10970 (H,wt=18): 11976 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11974(a,1),224(a,1,2)),flip(b)]. given #10971 (H,wt=27): 11973 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3017,a,11971,a)]. given #10972 (H,wt=38): 11977 (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(11973(a,1),3638(a,2,1)),flip(a)]. given #10973 (H,wt=36): 11978 (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(4389(a,1),11977(a,1,2))]. given #10974 (H,wt=32): 11979 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4620(a,1),11978(a,1,2))]. given #10975 (H,wt=14): 11980 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(240,a,11463,a(flip),b,11979,a(flip))]. given #10976 (H,wt=13): 11982 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(171(a,1),11980(a,1,2,2,1))]. given #10977 (H,wt=19): 11983 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11982(a,1),4083(a,1,2))]. given #10978 (H,wt=27): 11984 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11983(a,1),7323(a,2,1))]. given #10979 (H,wt=43): 11953 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(11952(a,1),4898(a,1,1))]. given #10980 (H,wt=43): 11985 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(7451(a,1),11953(a,1,2,1,2))]. given #10981 (H,wt=41): 11986 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(7945(a,1),11985(a,1,2,1,2))]. given #10982 (H,wt=41): 11987 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(7501(a,1),11986(a,1,2,1,2))]. given #10983 (H,wt=39): 11988 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(7727(a,1),11987(a,1,2,1,2))]. given #10984 (H,wt=39): 11989 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(4788(a,1),11988(a,1,2,1))]. given #10985 (H,wt=39): 11990 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(240,a,5105,a,b,11989,a(flip)),flip(a)]. given #10986 (H,wt=37): 11991 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(7966(a,1),11990(a,1,1)),flip(a)]. given #10987 (H,wt=35): 11992 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(5876(a,1),11991(a,2,2))]. given #10988 (H,wt=33): 11993 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(240,a,7536,a(flip),b,11992,a)]. given #10989 (H,wt=44): 5905 ((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(5034(a,2),5789(a,1,1))]. given #10990 (H,wt=44): 6714 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(1162(a,1),6690(a,2,1))]. given #10991 (H,wt=34): 11995 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),6714(a,1,1,1)),flip(a)]. given #10992 (H,wt=32): 11996 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(240,a,6974,a(flip),b,11995,a)]. given #10993 (H,wt=30): 11998 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(240,a,8801,a(flip),b,11996,a)]. given #10994 (H,wt=30): 11999 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7302,a,11998,a)]. given #10995 (H,wt=28): 12000 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(240,a,8823,a(flip),b,11999,a(flip)),flip(a)]. given #10996 (H,wt=23): 12001 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(8804,a,12000,a)]. given #10997 (H,wt=21): 12002 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(7800,a,12001,a),flip(a)]. given #10998 (H,wt=21): 12004 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(9571,a,12002,a)]. given #10999 (H,wt=21): 12005 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6225,a,12004,a),flip(a)]. given #11000 (H,wt=21): 12006 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(240,a,8703,a,b,12005,a(flip)),flip(a)]. given #11001 (H,wt=31): 12007 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(240,a,11524,a,b,12006,a(flip)),flip(a)]. given #11002 (H,wt=26): 12008 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),12007(a,2,2,1))]. given #11003 (H,wt=20): 12009 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(240,a,8898,a(flip),b,12008,a(flip))]. given #11004 (H,wt=44): 9403 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(5204(a,1),9368(a,2,2))]. given #11005 (H,wt=44): 9564 (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,L(w,u,K(x,y))). [para(9554(a,1),440(a,1,1))]. given #11006 (H,wt=44): 11994 ((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(5183(a,1),5905(a,1,2,1,2,1))]. given #11007 (H,wt=44): 12011 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(5183(a,1),9403(a,1,1,1))]. given #11008 (H,wt=45): 5323 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(4965(a,1),724(a,1,1))]. given #11009 (H,wt=33): 12012 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(240,a,6495,a(flip),b,5323,a(flip))]. given #11010 (H,wt=29): 12014 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(240,a,5819,a(flip),b,12012,a(flip)),flip(a)]. given #11011 (H,wt=29): 12015 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(240,a,6567,a(flip),b,12014,a(flip)),flip(a)]. given #11012 (H,wt=25): 12016 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12015(a,1,2,1))]. given #11013 (H,wt=25): 12017 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(240,a,8373,a(flip),b,12016,a(flip)),flip(a)]. given #11014 (H,wt=25): 12018 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(240,a,8143,a(flip),b,12017,a)]. given #11015 (H,wt=23): 12019 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(240,a,9757,a(flip),b,12018,a(flip)),flip(a)]. given #11016 (H,wt=21): 12020 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8090,a,12019,a),flip(a)]. given #11017 (H,wt=19): 12022 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,7438,a(flip),b,12020,a)]. given #11018 (H,wt=20): 12023 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,11888,a,b,12022,a(flip)),flip(a)]. given #11019 (H,wt=22): 12025 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12023(a,1),6550(a,1,1,1))]. given #11020 (H,wt=19): 12026 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(240,a,8107,a(flip),b,12025,a(flip))]. given #11021 (H,wt=23): 12028 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12026(a,1,3,2)),flip(a)]. given #11022 (H,wt=45): 7259 (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(7107(a,1),3096(a,1,2,1))]. given #11023 (H,wt=35): 12029 (1 / ((x * y) / x)) \ T(1 / y,1 / (1 / ((x * y) / x))) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(9283(a,1),7259(a,2,1))]. given #11024 (H,wt=31): 12030 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2922(a,1),12029(a,1,2))]. given #11025 (H,wt=25): 12031 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3276(a,1),12030(a,1,2)),flip(a)]. given #11026 (H,wt=21): 12032 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(240,a,11531,a(flip),b,12031,a)]. given #11027 (H,wt=45): 8467 (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(6878(a,2),1544(a,2,1,2))]. given #11028 (H,wt=45): 12034 (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(5183(a,1),8467(a,1,2,1))]. given #11029 (H,wt=45): 12035 (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(5183(a,1),12034(a,1,2,2,1,1))]. given #11030 (H,wt=45): 12036 (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(839(a,1),12035(a,1,2))]. given #11031 (H,wt=37): 12037 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(8843(a,1),12036(a,1,2))]. given #11032 (H,wt=31): 12038 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(240,a,5046,a(flip),b,12037,a(flip))]. given #11033 (H,wt=27): 12040 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3022(a,1),12038(a,2,1))]. given #11034 (H,wt=19): 12041 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(5857(a,1),12040(a,1,1))]. given #11035 (H,wt=12): 12042 R(K(x,y),K(y,z),u) = K(x,y). [hyper(884,a,12041,a)]. given #11036 (H,wt=19): 12043 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12041(a,1,2))]. given #11037 (H,wt=19): 12045 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(240,a,8244,a,b,12043,a)]. given #11038 (H,wt=19): 12046 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(75,a,6863,a(flip),b,12043,a)]. given #11039 (H,wt=19): 12049 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(75,a,8379,a(flip),b,12045,a)]. given #11040 (H,wt=19): 12050 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(2160(a,2),12045(a,1,1))]. given #11041 (H,wt=10): 12054 L(x,K(y,z),K(z,u)) = x. [hyper(438,a,12050,a)]. given #11042 (H,wt=12): 12061 L(x,K(y,T(z,u)),K(z,w)) = x. [para(6974(a,1),12054(a,1,2))]. given #11043 (H,wt=13): 12060 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5644(a,1),12054(a,1,2))]. given #11044 (H,wt=19): 12058 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,11590,a(flip),b,12054,a(flip))]. given #11045 (H,wt=19): 12059 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(240,a,5739,a(flip),b,12054,a(flip)),flip(a)]. given #11046 (H,wt=19): 12065 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(421,a,12058,a)]. given #11047 (H,wt=19): 12067 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7560(a,1),12058(a,1,1))]. given #11048 (H,wt=19): 12068 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(240,a,8244,a(flip),b,12059,a)]. given #11049 (H,wt=18): 12075 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9626(a,1),12068(a,1,1)),flip(a)]. given #11050 (H,wt=18): 12076 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5191,a,12075,a)]. given #11051 (H,wt=13): 12079 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(17,a,10731,a,b,12076,a(flip)),flip(a)]. given #11052 (H,wt=8): 12083 T(x,a(y,z,y)) = x. [hyper(17,a,11401,a(flip),b,12079,a(flip)),flip(a)]. given #11053 (H,wt=8): 12089 K(x,a(y,z,y)) = 1. [hyper(36,a,12083,a)]. given #11054 (H,wt=10): 12088 T(x,a(y,z,y)) = 1 * x. [hyper(323,a,12083,a),flip(a)]. given #11055 (H,wt=10): 12091 x * K(y,a(z,u,z)) = x. [para(12089(a,2),12(a,1,2))]. given #11056 (H,wt=11): 12082 T(a(x,y,x),z) = a(x,y,x). [hyper(17,a,3890,a,b,12079,a),flip(a)]. given #11057 (H,wt=11): 12092 T(x,a(y,z,y)) != u | u = x. [para(12088(a,2),76(a,1))]. given #11058 (H,wt=13): 12081 x / a(y,z,y) = a(y,z,y) \ x. [hyper(90,a,12079,a)]. given #11059 (H,wt=13): 12084 a(x,y,x) * z = z * a(x,y,x). [para(13(a,1),12079(a,1,1)),flip(a)]. given #11060 (H,wt=13): 12096 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(240,a,9625,a,b,12082,a)]. given #11061 (H,wt=14): 12103 a(x,y,x) * (y * x) = T(x * y,x). [hyper(240,a,11559,a(flip),b,12084,a)]. given #11062 (H,wt=14): 12107 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(240,a,9639,a(flip),b,12084,a)]. given #11063 (H,wt=15): 12078 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(17,a,10908,a,b,12076,a)]. given #11064 (H,wt=15): 12087 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(12079(a,1),10909(a,1,2)),flip(a)]. given #11065 (H,wt=13): 12122 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(73,a,12,a(flip),b,12087,a),flip(a)]. given #11066 (H,wt=15): 12099 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(240,a,10912,a,b,12081,a(flip)),flip(a)]. given #11067 (H,wt=15): 12100 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12081(a,1),10913(a,1,2))]. given #11068 (H,wt=15): 12102 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(240,a,11560,a(flip),b,12084,a)]. given #11069 (H,wt=15): 12104 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(240,a,11556,a(flip),b,12084,a)]. given #11070 (H,wt=15): 12105 a(x,y,x) * (x \ z) = L(x,y,x) \ z. [hyper(240,a,10910,a(flip),b,12084,a)]. given #11071 (H,wt=15): 12108 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(75,a,11556,a(flip),b,12084,a)]. given #11072 (H,wt=12): 12127 R(a(x,y,x),x,z) = a(x,y,x). [hyper(240,a,10241,a(flip),b,12108,a(flip)),flip(a)]. given #11073 (H,wt=15): 12114 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9625(a,2),12084(a,2,2)),flip(a)]. given #11074 (H,wt=15): 12115 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(12084(a,2),11561(a,1,2))]. given #11075 (H,wt=15): 12121 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(16(a,1),12078(a,1,2)),flip(a)]. given #11076 (H,wt=15): 12124 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(73,a,16,a(flip),b,12104,a),flip(a)]. given #11077 (H,wt=15): 12133 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(73,a,14,a(flip),b,12115,a),flip(a)]. given #11078 (H,wt=16): 12085 x * a(y,z,y) != u | a(y,z,y) \ u = x. [para(12079(a,1),20(a,1)),flip(a)]. given #11079 (H,wt=16): 12086 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12079(a,1),299(a,1,1)),flip(b)]. given #11080 (H,wt=16): 12093 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12091(a,1),266(a,1)),flip(b)]. given #11081 (H,wt=16): 12097 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(12082(a,1),231(a,1,2))]. given #11082 (H,wt=18): 12077 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6682(a,2),12075(a,1,2,1))]. given #11083 (H,wt=18): 12080 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(13(a,1),12076(a,1,2)),flip(a)]. given #11084 (H,wt=18): 12101 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(240,a,10730,a,b,12084,a),flip(a)]. given #11085 (H,wt=17): 12138 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(12101(a,1),4983(a,1)),flip(b)]. given #11086 (H,wt=18): 12118 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [hyper(73,a,6470,a(flip),b,12107,a)]. given #11087 (H,wt=18): 12126 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(12104(a,1),299(a,1,1)),flip(b)]. given #11088 (H,wt=18): 12128 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12108(a,1),226(a,1,1)),flip(b)]. given #11089 (H,wt=15): 12140 T(x * y,x) != z | y * R(x,y,x) = z. [para(12103(a,1),12128(a,1))]. given #11090 (H,wt=18): 12135 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(12121(a,1),241(a,1,2)),flip(b)]. given #11091 (H,wt=19): 12069 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2160(a,1),12059(a,1,1))]. given #11092 (H,wt=19): 12071 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,12058,a(flip),b,12065,a(flip))]. given #11093 (H,wt=19): 12072 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(2160(a,1),12065(a,2,2))]. given #11094 (H,wt=19): 12073 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(2160(a,1),12067(a,2,2))]. given #11095 (H,wt=19): 12094 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12091(a,1),4844(a,1,1,1))]. given #11096 (H,wt=11): 12145 T(x,R(a(y,z,y),u,w)) = x. [hyper(184,a,12094,a)]. given #11097 (H,wt=20): 12048 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(6685(a,1),12043(a,1,1)),flip(a)]. given #11098 (H,wt=15): 12146 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(240,a,12077,a(flip),b,12048,a(flip))]. given #11099 (H,wt=13): 12147 x / R(x,y,x) = x \ L(x,y,x). [hyper(75,a,9635,a(flip),b,12146,a)]. given #11100 (H,wt=20): 12095 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(12091(a,1),4931(a,1,1)),flip(a)]. given #11101 (H,wt=20): 12098 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(12082(a,1),520(a,1,2))]. given #11102 (H,wt=21): 12125 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(75,a,12104,a(flip),b,91,a(flip))]. given #11103 (H,wt=21): 12136 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(12080(a,1),19(a,1)),flip(a)]. given #11104 (H,wt=21): 12142 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4881,a,12071,a)]. given #11105 (H,wt=22): 12106 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(240,a,9673,a(flip),b,12084,a)]. given #11106 (H,wt=22): 12130 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(12108(a,1),381(a,1,1))]. given #11107 (H,wt=22): 12134 R(x,y,x) * z != u * w | u \ (x * (a(x,y,x) * z)) = w. [para(12115(a,1),517(a,1))]. given #11108 (H,wt=22): 12150 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12142(a,1),4803(a,1))]. given #11109 (H,wt=22): 12151 (x * y) * a(y,z,y) != u * w | (x * R(y,z,y)) / w = u. [para(12084(a,1),12130(a,1))]. given #11110 (H,wt=22): 12152 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12058(a,2),12150(a,1))]. given #11111 (H,wt=22): 12153 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12065(a,2),12150(a,1))]. given #11112 (H,wt=23): 12062 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12054(a,1),10703(a,1,1,1)),flip(a)]. given #11113 (H,wt=23): 12063 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12061(a,1),106(a,1,2))]. given #11114 (H,wt=23): 12090 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(12083(a,1),10202(a,2,2,1))]. given #11115 (H,wt=23): 12116 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7362(a,1),12096(a,2,2))]. given #11116 (H,wt=23): 12137 K(x * y,x) * (K(x,y) * z) != z * u | T(a(x,y,x),z) = u. [para(12101(a,2),183(a,2)),flip(a)]. given #11117 (H,wt=23): 12141 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7142(a,1),12069(a,1,1,1))]. given #11118 (H,wt=23): 12144 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12072(a,1),9352(a,1,1))]. given #11119 (H,wt=21): 12158 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4822,a,12144,a),flip(a)]. given #11120 (H,wt=23): 12156 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2160(a,1),12062(a,1,2,2))]. given #11121 (H,wt=24): 12055 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(12050(a,1),254(a,1,2))]. given #11122 (H,wt=24): 12056 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12050(a,1),6436(a,1,2))]. given #11123 (H,wt=12): 12163 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5194,a,12056,a),flip(a)]. given #11124 (H,wt=19): 12165 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12163(a,1),11506(a,1,2,1)),flip(a)]. given #11125 (H,wt=24): 12111 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(12084(a,1),608(a,1,2,1))]. given #11126 (H,wt=20): 12168 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(12082(a,1),12111(a,2,1))]. given #11127 (H,wt=21): 12169 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9634(a,2),12168(a,1,2,1))]. given #11128 (H,wt=19): 12171 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(240,a,9678,a,b,12169,a(flip)),flip(a)]. given #11129 (H,wt=24): 12139 (x * R(x \ y,z,x \ y)) / y != u | a(x \ y,z,x \ y) = u. [para(14(a,1),12126(a,1,2))]. given #11130 (H,wt=24): 12143 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12071(a,1),4858(a,1))]. given #11131 (H,wt=24): 12149 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(11556(a,1),12095(a,1,1,2))]. given #11132 (H,wt=24): 12159 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(12144(a,1),4822(a,1))]. given #11133 (H,wt=24): 12162 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(11072(a,1),12055(a,1))]. given #11134 (H,wt=22): 12173 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(12162,a,10699,a)]. given #11135 (H,wt=25): 12052 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5176(a,1),12046(a,1,1))]. given #11136 (H,wt=25): 12053 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7611(a,1),12049(a,1,1))]. given #11137 (H,wt=23): 12175 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7611(a,1),12053(a,1,2))]. given #11138 (H,wt=23): 12176 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(240,a,7152,a(flip),b,12175,a)]. given #11139 (H,wt=25): 12064 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(12060(a,1),106(a,1,2))]. given #11140 (H,wt=25): 12070 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8956,a,12065,a)]. given #11141 (H,wt=25): 12179 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(240,a,12073,a(flip),b,12070,a(flip))]. given #11142 (H,wt=25): 12180 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12150,a,12179,a)]. given #11143 (H,wt=26): 12110 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(12084(a,1),449(a,1,2))]. given #11144 (H,wt=27): 12074 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(8828(a,1),12067(a,1,1,2)),flip(a)]. given #11145 (H,wt=27): 12123 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12102(a,1),483(a,1,1,1))]. given #11146 (H,wt=27): 12178 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4977(a,2),12064(a,1,1,2,1))]. given #11147 (H,wt=27): 12181 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(240,a,4800,a(flip),b,12180,a),flip(a)]. given #11148 (H,wt=25): 12184 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,4800,a(flip),b,12181,a),flip(a)]. given #11149 (H,wt=27): 12182 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(8954(a,1),12074(a,2,1))]. given #11150 (H,wt=27): 12185 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(240,a,12058,a(flip),b,12182,a)]. given #11151 (H,wt=25): 12186 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8828(a,1),12185(a,1,2,2))]. given #11152 (H,wt=25): 12187 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(240,a,12071,a,b,12186,a),flip(a)]. given #11153 (H,wt=28): 12112 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(12084(a,1),704(a,1,1))]. given #11154 (H,wt=28): 12154 T(T(x,K(y,z)),K(u,R(y,w,v5))) != v6 | T(x,K(y,z) * K(R(u,w,v5),y)) = v6. [para(8955(a,1),12152(a,1))]. given #11155 (H,wt=29): 12047 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(75,a,12043,a(flip),b,4811,a)]. given #11156 (H,wt=29): 12155 L(T(T(x,K(y,z)),K(y,u)),K(w,v5),K(v5,v6)) != v7 | T(x,K(y,u) * K(z,y)) = v7. [para(12054(a,2),12153(a,1))]. given #11157 (H,wt=29): 12161 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12156(a,1),7134(a,1,1))]. given #11158 (H,wt=25): 12189 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6962(a,1),12161(a,1,1,1)),flip(a)]. given #11159 (H,wt=25): 12190 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12067(a,1),12189(a,2,1))]. given #11160 (H,wt=23): 12191 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(240,a,4746,a,b,12190,a)]. given #11161 (H,wt=23): 12192 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5183(a,1),12191(a,1,2))]. given #11162 (H,wt=29): 12172 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(4777(a,1),12171(a,1,1,2)),flip(a)]. given #11163 (H,wt=23): 12193 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4777(a,1),12172(a,2,2))]. given #11164 (H,wt=29): 12188 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10724,a,12047,a)]. given #11165 (H,wt=25): 12194 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(240,a,11492,a(flip),b,12188,a(flip)),flip(a)]. given #11166 (H,wt=21): 12195 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7565(a,1),12194(a,1,1)),flip(a)]. given #11167 (H,wt=21): 12196 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(240,a,12065,a(flip),b,12195,a)]. given #11168 (H,wt=19): 12197 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12142,a,b,12196,a)]. given #11169 (H,wt=19): 12200 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2160(a,2),12197(a,1,1))]. given #11170 (H,wt=19): 12201 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2160(a,1),12200(a,2,2))]. given #11171 (H,wt=21): 12198 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2160(a,2),12196(a,1,2,1))]. given #11172 (H,wt=19): 12203 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4800,a(flip),b,12198,a)]. given #11173 (H,wt=19): 12205 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(240,a,12201,a(flip),b,12203,a(flip))]. given #11174 (H,wt=21): 12199 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(240,a,12158,a,b,12197,a(flip)),flip(a)]. given #11175 (H,wt=21): 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(240,a,12203,a,b,12199,a)]. given #11176 (H,wt=21): 12209 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7507(a,1),12199(a,1,1))]. given #11177 (H,wt=21): 12210 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(240,a,12205,a(flip),b,12209,a)]. given #11178 (H,wt=23): 12204 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(240,a,12192,a,b,12203,a(flip)),flip(a)]. given #11179 (H,wt=25): 12207 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(240,a,11960,a,b,12199,a(flip))]. given #11180 (H,wt=16): 12211 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(240,a,11943,a(flip),b,12207,a)]. given #11181 (H,wt=16): 12212 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(240,a,12184,a(flip),b,12211,a(flip)),flip(a)]. given #11182 (H,wt=16): 12213 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12212(a,1,2,2,2,3))]. given #11183 (H,wt=29): 12202 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(75,a,12201,a,b,4749,a(flip))]. given #11184 (H,wt=29): 12208 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(240,a,9078,a,b,12199,a(flip)),flip(a)]. given #11185 (H,wt=29): 12214 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(10728,a,12202,a)]. given #11186 (H,wt=29): 12215 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(7487(a,1),12208(a,1,2,2,2))]. given #11187 (H,wt=21): 12217 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5343,a,12215,a)]. given #11188 (H,wt=21): 12218 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7487(a,1),12217(a,1,1))]. given #11189 (H,wt=29): 12216 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(240,a,6245,a(flip),b,12214,a(flip)),flip(a)]. given #11190 (H,wt=23): 12219 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2164(a,1),12216(a,1,1)),flip(a)]. given #11191 (H,wt=21): 12220 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(240,a,11,a(flip),b,12219,a)]. given #11192 (H,wt=21): 12222 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(2160(a,1),12220(a,2,1))]. given #11193 (H,wt=21): 12223 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(2160(a,2),12222(a,1,2,1))]. given #11194 (H,wt=24): 12224 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(12223(a,1),250(a,1,1)),flip(b)]. given #11195 (H,wt=30): 12051 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. [para(12045(a,1),4803(a,1))]. given #11196 (H,wt=23): 12225 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(12051,a,9914,a),flip(a)]. given #11197 (H,wt=30): 12109 (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(73,a,12084,a,b,607,a)]. given #11198 (H,wt=27): 12226 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(12109(a,1),12112(a,1))]. given #11199 (H,wt=31): 12113 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(12084(a,2),704(a,1,1))]. given #11200 (H,wt=31): 12129 ((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(106(a,1),12108(a,1,2))]. given #11201 (H,wt=28): 12227 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(446(a,1),12129(a,1,1))]. given #11202 (H,wt=25): 12228 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(10568(a,1),12227(a,1,1,2))]. given #11203 (H,wt=20): 12229 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(240,a,12149,a(flip),b,12228,a(flip)),flip(a)]. given #11204 (H,wt=22): 12232 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),12229(a,1,2)),flip(a)]. given #11205 (H,wt=31): 12157 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12028(a,1),12116(a,2,2))]. given #11206 (H,wt=29): 12233 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(240,a,1078,a(flip),b,12157,a)]. given #11207 (H,wt=27): 12234 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(240,a,1658,a(flip),b,12233,a)]. given #11208 (H,wt=27): 12235 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9272(a,1),12234(a,2,1,2))]. given #11209 (H,wt=23): 12236 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(240,a,12125,a(flip),b,12235,a)]. given #11210 (H,wt=23): 12237 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(4702(a,1),12236(a,1,1))]. given #11211 (H,wt=32): 12120 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(7239(a,1),12107(a,1,2))]. given #11212 (H,wt=24): 12238 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10971(a,1),12120(a,1,1)),flip(a)]. given #11213 (H,wt=18): 12239 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(240,a,9336,a(flip),b,12238,a(flip))]. given #11214 (H,wt=18): 12241 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7243,a,12239,a)]. given #11215 (H,wt=32): 12160 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(6446(a,1),12158(a,1,2,2)),flip(a)]. given #11216 (H,wt=32): 12245 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(8717(a,1),12160(a,2,2))]. given #11217 (H,wt=30): 12246 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(240,a,12158,a(flip),b,12245,a)]. given #11218 (H,wt=25): 12247 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6446(a,1),12246(a,1,1,2))]. given #11219 (H,wt=34): 12166 ((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(12165(a,1),5710(a,1,2,2))]. given #11220 (H,wt=28): 12248 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5082(a,1),12166(a,1,2)),flip(a)]. given #11221 (H,wt=24): 12249 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(240,a,5248,a(flip),b,12248,a)]. given #11222 (H,wt=16): 12251 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(240,a,5178,a(flip),b,12249,a)]. given #11223 (H,wt=14): 12253 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5708(a,1),12251(a,1,2))]. given #11224 (H,wt=35): 12044 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(12042(a,1),2406(a,1,1)),flip(a)]. given #11225 (H,wt=30): 12254 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(12042(a,1),12044(a,2,2,1,1))]. given #11226 (H,wt=28): 12255 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(4977(a,1),12254(a,2,2,1))]. given #11227 (H,wt=26): 12257 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4977(a,1),12255(a,1,1,2,1))]. given #11228 (H,wt=26): 12258 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(240,a,5207,a(flip),b,12257,a(flip)),flip(a)]. given #11229 (H,wt=30): 12260 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(12257(a,2),6547(a,1,1))]. given #11230 (H,wt=35): 12177 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(12176(a,1),10726(a,1,1))]. given #11231 (H,wt=35): 12264 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(240,a,12141,a(flip),b,12177,a(flip))]. given #11232 (H,wt=35): 12265 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7142(a,1),12264(a,2,2,1))]. given #11233 (H,wt=33): 12266 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),12265(a,2,2))]. given #11234 (H,wt=36): 12132 ((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(240,a,476,a,b,12127,a(flip)),flip(a)]. given #11235 (H,wt=31): 12267 (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(9633(a,1),12132(a,1,1,1))]. given #11236 (H,wt=28): 12268 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(479(a,1),12267(a,1,1))]. given #11237 (H,wt=25): 12269 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(10585(a,1),12268(a,1,1))]. given #11238 (H,wt=23): 12270 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(12269(a,1),12123(a,1))]. given #11239 (H,wt=36): 12244 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(9467(a,1),12241(a,1,1))]. given #11240 (H,wt=36): 12271 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(8042(a,1),12244(a,1,1))]. given #11241 (H,wt=34): 12272 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(9954(a,1),12271(a,1,1))]. given #11242 (H,wt=32): 12273 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5486(a,1),12272(a,1,2))]. given #11243 (H,wt=28): 12274 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8166(a,1),12273(a,1,2))]. given #11244 (H,wt=37): 12261 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(12257(a,1),12011(a,1,1))]. given #11245 (H,wt=35): 12275 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(10835,a,12261,a)]. given #11246 (H,wt=35): 12277 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(240,a,12247,a(flip),b,12275,a(flip)),flip(a)]. given #11247 (H,wt=31): 12278 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(240,a,12204,a(flip),b,12277,a(flip))]. given #11248 (H,wt=31): 12279 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(240,a,12184,a(flip),b,12278,a)]. given #11249 (H,wt=18): 12280 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(240,a,12213,a(flip),b,12279,a)]. given #11250 (H,wt=16): 12281 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(10835,a,12280,a)]. given #11251 (H,wt=24): 12283 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12281(a,1),4903(a,1,1))]. given #11252 (H,wt=19): 12284 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12258(a,1),12283(a,1,2))]. given #11253 (H,wt=17): 12285 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(77,a,12284,a)]. given #11254 (H,wt=17): 12287 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5191,a,12285,a)]. given #11255 (H,wt=17): 12288 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2163,a,12285,a)]. given #11256 (H,wt=19): 12292 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8883(a,1),12285(a,1,2))]. given #11257 (H,wt=20): 12295 K(x,y) * R(K(y,x),z,u) != w | a(K(y,x),z,u) = w. [para(12287(a,1),5200(a,1,2)),flip(b)]. given #11258 (H,wt=21): 12290 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12285(a,1),6547(a,1,1)),flip(a)]. given #11259 (H,wt=21): 12293 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12285(a,1),11898(a,1,1,2))]. given #11260 (H,wt=17): 12300 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12285(a,1),12293(a,1,2))]. given #11261 (H,wt=21): 12294 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12285(a,1),12187(a,2,2))]. given #11262 (H,wt=21): 12299 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5191,a,12290,a)]. given #11263 (H,wt=22): 12298 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. [para(8883(a,1),12295(a,1,2))]. given #11264 (H,wt=23): 12289 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6424(a,1),12285(a,1,2))]. given #11265 (H,wt=23): 12297 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12288(a,1),10746(a,2,2))]. given #11266 (H,wt=25): 12286 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7506(a,1),12284(a,1,2,1))]. given #11267 (H,wt=25): 12302 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(73,a,123,a(flip),b,12300,a)]. given #11268 (H,wt=25): 12304 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8716(a,1),12286(a,1,2,2))]. given #11269 (H,wt=23): 12305 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12218(a,1),12304(a,1,2))]. given #11270 (H,wt=26): 12303 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(240,a,10908,a(flip),b,12299,a(flip)),flip(a)]. given #11271 (H,wt=26): 12306 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8775(a,1),12303(a,1,2))]. given #11272 (H,wt=24): 12307 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5240,a,12306,a)]. given #11273 (H,wt=24): 12308 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(240,a,9425,a,b,12307,a)]. given #11274 (H,wt=33): 12296 (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(12287(a,1),11094(a,1,1)),flip(a)]. given #11275 (H,wt=27): 12309 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(240,a,12297,a(flip),b,12296,a)]. given #11276 (H,wt=40): 12057 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(12050(a,1),10721(a,2,2))]. given #11277 (H,wt=36): 12310 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(9892(a,1),12057(a,2,2))]. given #11278 (H,wt=36): 12311 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(240,a,9600,a(flip),b,12310,a)]. given #11279 (H,wt=36): 12312 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7506(a,1),12311(a,2,1))]. given #11280 (H,wt=32): 12313 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7991(a,1),12312(a,2,2))]. given #11281 (H,wt=30): 12314 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(240,a,12210,a(flip),b,12313,a)]. given #11282 (H,wt=23): 12316 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(10717(a,1),12314(a,1,2))]. given #11283 (H,wt=29): 12318 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12316(a,1),12266(a,1,2))]. given #11284 (H,wt=27): 12319 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(10288,a,12318,a)]. given #11285 (H,wt=23): 12320 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(12225(a,1),12319(a,1,1))]. given #11286 (H,wt=21): 12321 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(12224,a,12320,a),flip(a)]. given #11287 (H,wt=25): 12322 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12321(a,1),12063(a,1,1)),flip(a)]. given #11288 (H,wt=32): 12323 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(240,a,11171,a(flip),b,12322,a(flip))]. given #11289 (H,wt=25): 12324 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12173(a,1),12323(a,1,1)),flip(a)]. given #11290 (H,wt=40): 12243 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9141(a,1),12241(a,1,1,2))]. given #11291 (H,wt=36): 12326 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8125(a,1),12243(a,1,1))]. given #11292 (H,wt=34): 12327 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10386(a,1),12326(a,1,1))]. given #11293 (H,wt=32): 12328 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6019(a,1),12327(a,1,2))]. given #11294 (H,wt=28): 12329 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9266(a,1),12328(a,1,2))]. given #11295 (H,wt=40): 12263 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(7451(a,1),12260(a,1,1,1,2,1))]. given #11296 (H,wt=40): 12330 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(8715(a,1),12263(a,1,1,1,2))]. given #11297 (H,wt=38): 12331 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(12218(a,1),12330(a,1,1,1))]. given #11298 (H,wt=41): 12148 (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(12147(a,1),2593(a,1,1,2,1))]. given #11299 (H,wt=39): 12332 (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(11975(a,1),12148(a,1,1,2))]. given #11300 (H,wt=39): 12333 (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(12147(a,1),12332(a,1,2,1))]. given #11301 (H,wt=39): 12334 (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(3654(a,1),12333(a,1,2,2))]. given #11302 (H,wt=32): 12335 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(2371(a,1),12334(a,1,2)),flip(a)]. given #11303 (H,wt=32): 12337 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(12147(a,1),12335(a,1,2,1))]. given #11304 (H,wt=30): 12338 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11975(a,1),12337(a,1,2)),flip(a)]. given #11305 (H,wt=30): 12339 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(12147(a,1),12338(a,2,3))]. given #11306 (H,wt=46): 5247 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(4751(a,1),2406(a,2,1,2,1))]. given #11307 (H,wt=44): 12340 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(5030(a,1),5247(a,1,1))]. given #11308 (H,wt=42): 12341 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(5030(a,1),12340(a,1,2,1,1)),flip(a)]. given #11309 (H,wt=40): 12342 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(4977(a,1),12341(a,2,2,1))]. given #11310 (H,wt=40): 12343 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(6424(a,1),12342(a,2,2))]. given #11311 (H,wt=38): 12344 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(4754(a,1),12343(a,1,1,1)),flip(a)]. given #11312 (H,wt=38): 12345 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(6424(a,1),12344(a,2,1,2))]. given #11313 (H,wt=29): 12346 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(240,a,12289,a(flip),b,12345,a(flip))]. given #11314 (H,wt=46): 10558 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(10556(a,1),9630(a,1,1))]. given #11315 (H,wt=36): 12347 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(4957(a,1),10558(a,1,2)),flip(a)]. given #11316 (H,wt=46): 11373 ((x \ y) * x) \ (K(z,L(u,T(w,y),(x \ y) * x)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((x \ y) * x) * T(w,y))). [para(10182(a,2),11335(a,1,2,2))]. given #11317 (H,wt=47): 3115 (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(1818(a,2),3114(a,1,2))]. given #11318 (H,wt=29): 12348 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3115(a,1,2,1))]. given #11319 (H,wt=27): 12349 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(59(a,1),12348(a,1,2))]. given #11320 (H,wt=23): 12351 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(250,a,12349,a)]. given #11321 (H,wt=21): 12354 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2381(a,1),12351(a,1,1))]. given #11322 (H,wt=21): 12355 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(240,a,10238,a(flip),b,12354,a(flip))]. given #11323 (H,wt=21): 12356 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(240,a,4621,a(flip),b,12355,a)]. given #11324 (H,wt=21): 12357 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(240,a,6743,a(flip),b,12356,a)]. given #11325 (H,wt=15): 12359 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1069(a,1),12357(a,1,2))]. given #11326 (H,wt=15): 12360 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(72,a,12359,a,b,1575,a),flip(a)]. given #11327 (H,wt=24): 12361 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12359(a,1),4793(a,2,1)),flip(a)]. given #11328 (H,wt=25): 12358 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12356(a,2),10239(a,1,1))]. given #11329 (H,wt=28): 12363 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(240,a,7507,a,b,12361,a)]. given #11330 (H,wt=31): 12364 (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(12361(a,2),7545(a,1))]. given #11331 (H,wt=47): 11756 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(9348(a,1),11754(a,1,1,1))]. given #11332 (H,wt=48): 12119 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(6104(a,1),12107(a,2,1))]. given #11333 (H,wt=48): 12174 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(169(a,2),12052(a,1,2,2,2))]. given #11334 (H,wt=44): 12365 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(6085(a,1),12174(a,1,2,1))]. given #11335 (H,wt=37): 12366 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4258(a,1),12365(a,1,2,2)),flip(a)]. given #11336 (H,wt=33): 12367 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7900(a,1),12366(a,2,2))]. given #11337 (H,wt=43): 12368 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),12367(a,2,2,1))]. given #11338 (H,wt=42): 12369 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(11740(a,1),12368(a,1,1,2))]. given #11339 (H,wt=35): 12370 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8417(a,1),12369(a,1,1))]. given #11340 (H,wt=34): 12372 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(11740(a,1),12370(a,1,2,1))]. given #11341 (H,wt=33): 12373 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(5299(a,1),12372(a,1,2))]. given #11342 (H,wt=31): 12374 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7413(a,1),12373(a,1,2))]. given #11343 (H,wt=19): 12375 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(8969(a,1),12374(a,1,2)),flip(a)]. given #11344 (H,wt=19): 12376 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(240,a,6868,a,b,12375,a)]. given #11345 (H,wt=49): 5872 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4171(a,1),5759(a,1,2))]. given #11346 (H,wt=37): 12378 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(10931(a,1),5872(a,1,1)),flip(a)]. given #11347 (H,wt=37): 12379 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(240,a,6866,a,b,12378,a)]. given #11348 (H,wt=35): 12381 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(4815(a,1),12379(a,2,1))]. given #11349 (H,wt=49): 5873 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4171(a,1),5760(a,1,2))]. given #11350 (H,wt=37): 12382 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(10931(a,1),5873(a,1,1)),flip(a)]. given #11351 (H,wt=37): 12383 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(240,a,6866,a,b,12382,a)]. given #11352 (H,wt=35): 12385 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(4815(a,1),12383(a,2,1))]. given #11353 (H,wt=33): 12386 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(240,a,9474,a(flip),b,12385,a)]. given #11354 (H,wt=33): 12387 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(4194(a,2),12386(a,1,2))]. given #11355 (H,wt=27): 12388 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(10927(a,1),12387(a,1,2,1))]. given #11356 (H,wt=27): 12389 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4192(a,2),12388(a,1,2,1))]. given #11357 (H,wt=49): 11755 (((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(11752(a,2),11370(a,1,2,1))]. given #11358 (H,wt=49): 12391 (((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(5571(a,1),11755(a,1,1,1))]. given #11359 (H,wt=47): 12392 ((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(11752(a,1),12391(a,1,1))]. given #11360 (H,wt=45): 12393 ((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(11752(a,1),12392(a,1,2,1))]. given #11361 (H,wt=45): 12394 ((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(5571(a,1),12393(a,1,2,2,2))]. given #11362 (H,wt=50): 9861 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(9860(a,1),1922(a,1,1)),flip(a)]. given #11363 (H,wt=49): 12395 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(9860(a,1),9861(a,2,2,1,1))]. given #11364 (H,wt=47): 12396 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(240,a,1676,a(flip),b,12395,a)]. given #11365 (H,wt=45): 12397 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(1822(a,1),12396(a,2,2))]. given #11366 (H,wt=43): 12398 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(829(a,1),12397(a,2,2,1))]. given #11367 (H,wt=37): 12399 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(1086(a,1),12398(a,2,2,1,2))]. given #11368 (H,wt=35): 12400 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(1676(a,1),12399(a,1,1))]. given #11369 (H,wt=51): 9269 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(5131(a,1),7240(a,1,2)),flip(a)]. given #11370 (H,wt=41): 12401 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(240,a,8925,a(flip),b,9269,a)]. given #11371 (H,wt=41): 12402 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(240,a,7491,a(flip),b,12401,a)]. given #11372 (H,wt=52): 9252 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(2557(a,1),9080(a,2,1,1))]. given #11373 (H,wt=52): 11790 ((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(11789(a,1),5757(a,1,1,2))]. given #11374 (H,wt=52): 12259 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(12257(a,1),471(a,1,1,1)),flip(a)]. given #11375 (H,wt=22): 12405 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(240,a,13,a(flip),b,12259,a)]. given #11376 (H,wt=17): 12407 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12257(a,1),12405(a,1,3))]. given #11377 (H,wt=13): 12409 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12285(a,1),12407(a,1,3))]. given #11378 (H,wt=25): 12410 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12409(a,1),106(a,1,2))]. given #11379 (H,wt=27): 12412 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(240,a,12309,a(flip),b,12410,a(flip))]. given #11380 (H,wt=19): 12413 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5178(a,1),12412(a,1,2))]. given #11381 (H,wt=19): 12414 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7594(a,1),12413(a,1,1,1)),flip(a)]. given #11382 (H,wt=17): 12415 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(183,a,12414,a),flip(a)]. given #11383 (H,wt=28): 12411 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(12409(a,1),230(a,1,2))]. given #11384 (H,wt=52): 12403 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(3120(a,1),9252(a,1,1,1,2))]. given #11385 (H,wt=44): 12416 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(4408(a,1),12403(a,1,1,1))]. given #11386 (H,wt=42): 12417 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(121(a,1),12416(a,1,1,1)),flip(a)]. given #11387 (H,wt=42): 12419 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(3120(a,1),12417(a,2,1,3,2))]. given #11388 (H,wt=38): 12420 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),12419(a,2,1,3))]. given #11389 (H,wt=34): 12422 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4416(a,1),12420(a,2,1))]. given #11390 (H,wt=30): 12423 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(62(a,1),12422(a,1,1,1,1,2))]. given #11391 (H,wt=30): 12424 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3120(a,1),12423(a,1,1,2))]. given #11392 (H,wt=22): 12425 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(240,a,5717,a(flip),b,12424,a(flip)),flip(a)]. given #11393 (H,wt=32): 12427 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),12425(a,1,1,1,1)),flip(a)]. given #11394 (H,wt=30): 12428 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(9611(a,1),12427(a,2,1,1))]. given #11395 (H,wt=27): 12429 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(240,a,7211,a(flip),b,12428,a)]. given #11396 (H,wt=25): 12430 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12429(a,1,1,3))]. given #11397 (H,wt=25): 12431 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7142(a,1),12430(a,2,1))]. given #11398 (H,wt=21): 12432 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(240,a,6352,a(flip),b,12431,a(flip)),flip(a)]. given #11399 (H,wt=38): 12433 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(12432(a,1),8309(a,2,2))]. given #11400 (H,wt=35): 12434 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(240,a,106,a(flip),b,12433,a)]. given #11401 (H,wt=33): 12435 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(240,a,6990,a(flip),b,12434,a)]. given #11402 (H,wt=31): 12436 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(122(a,1),12435(a,1,1,2,2,1))]. given #11403 (H,wt=29): 12437 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7871(a,1),12436(a,1,1,2))]. given #11404 (H,wt=25): 12438 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(6982(a,1),12437(a,1,1))]. given #11405 (H,wt=23): 12439 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(122(a,1),12438(a,1,2,1,1,1))]. given #11406 (H,wt=28): 12441 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12439(a,1),4875(a,1,2)),flip(a)]. given #11407 (H,wt=26): 12442 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(240,a,5077,a(flip),b,12441,a)]. given #11408 (H,wt=21): 12443 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3877,a,12442,a)]. given #11409 (H,wt=19): 12445 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(240,a,10370,a(flip),b,12443,a(flip))]. given #11410 (H,wt=21): 12446 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12445(a,2),8159(a,1,1))]. given #11411 (H,wt=21): 12447 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(10328(a,1),12446(a,1,1,1))]. given #11412 (H,wt=39): 12448 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(5784(a,2),12447(a,1,2,2))]. given #11413 (H,wt=52): 12404 ((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(8418(a,1),11790(a,1,2))]. given #11414 (H,wt=57): 8942 (((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(8547(a,1),6189(a,1,2,1))]. given #11415 (H,wt=57): 12362 ((((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(12360(a,1),11836(a,1,2,2,1)),flip(a)]. given #11416 (H,wt=55): 12450 ((((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(2644(a,1),12362(a,2,1))]. given #11417 (H,wt=53): 12451 ((((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(5751(a,1),12450(a,2,1))]. given #11418 (H,wt=51): 12452 ((((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),12451(a,2,2,2))]. given #11419 (H,wt=47): 12453 ((((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),12452(a,2,2))]. given #11420 (H,wt=40): 12454 ((((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(240,a,4809,a,b,12453,a)]. given #11421 (H,wt=28): 12456 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12360(a,1),12454(a,1,1,1,2,1)),flip(a)]. given #11422 (H,wt=26): 12457 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),12456(a,2,1,1,2))]. given #11423 (H,wt=22): 12459 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),12457(a,2,1,1))]. given #11424 (H,wt=29): 12460 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12459(a,1),12361(a,1,2))]. given #11425 (H,wt=25): 12461 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2267,a,12460,a)]. given #11426 (H,wt=13): 12462 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11976,a,12461,a),flip(a)]. given #11427 (H,wt=13): 12463 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(74,a,12462,a,b,4979,a),flip(a)]. given #11428 (H,wt=13): 12465 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12463(a,1),6330(a,1,2)),flip(a)]. given #11429 (H,wt=13): 12466 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(12465(a,1),65(a,1,1))]. given #11430 (H,wt=16): 12467 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(12465(a,1),250(a,1,1)),flip(b)]. given #11431 (H,wt=18): 12464 x * K(y \ L(y,z,u),a(u,z,y)) != w | w = x. [para(12462(a,2),85(a,1,2))]. given #11432 (H,wt=19): 12470 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11834(a,1),12466(a,1,1))]. given #11433 (H,wt=15): 12472 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(12467,a,12470,a),flip(a)]. given #11434 (H,wt=18): 12473 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12470(a,1),12467(a,1))]. given #11435 (H,wt=20): 12469 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,1),12466(a,1,1,1)),flip(a)]. given #11436 (H,wt=11): 12475 T(a(x,y,z),x) = a(x,y,z). [hyper(240,a,11681,a(flip),b,12469,a),flip(a)]. given #11437 (H,wt=8): 12476 K(a(x,y,z),x) = 1. [hyper(36,a,12475,a)]. given #11438 (H,wt=13): 12477 a(x,y,z) * x = x * a(x,y,z). [para(12475(a,1),122(a,1,2)),flip(a)]. given #11439 (H,wt=13): 12478 x * K(a(y,z,u),y) != w | w = x. [para(12476(a,2),85(a,1,2))]. given #11440 (H,wt=14): 12479 T(a(x,y,z),x) != u | a(x,y,z) = u. [para(4800(a,2),12478(a,1)),flip(b)]. given #11441 (H,wt=20): 12480 T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. [para(3819(a,2),12479(a,1,1))]. given #11442 (H,wt=21): 12481 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(12480,a,12237,a)]. given #11443 (H,wt=23): 12471 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 != u | a(x,y,z) = u. [para(24(a,1),12467(a,1,1,1))]. given #11444 (H,wt=24): 12482 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(240,a,12274,a,b,12481,a(flip)),flip(a)]. given #11445 (H,wt=21): 12483 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(240,a,12329,a(flip),b,12482,a(flip)),flip(a)]. given #11446 (H,wt=40): 12474 (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(240,a,6851,a,b,12472,a),flip(a)]. given #11447 (H,wt=38): 12484 (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(10474(a,1),12474(a,1,1,2))]. given #11448 (H,wt=36): 12485 (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(602(a,1),12484(a,1,1))]. given #11449 (H,wt=34): 12486 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(193(a,1),12485(a,1,2)),flip(a)]. given #11450 (H,wt=27): 12487 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(240,a,1202,a(flip),b,12486,a)]. given #11451 (H,wt=27): 12488 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),12487(a,2,3))]. given #11452 (H,wt=27): 12489 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(12473,a,12488,a)]. given #11453 (H,wt=23): 12490 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(240,a,11832,a(flip),b,12489,a(flip)),flip(a)]. given #11454 (H,wt=21): 12492 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(240,a,11692,a(flip),b,12490,a(flip))]. given #11455 (H,wt=27): 12494 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(240,a,11510,a,b,12492,a(flip)),flip(a)]. given #11456 (H,wt=25): 12495 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9658,a,12494,a)]. given #11457 (H,wt=28): 12497 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12495(a,1),11571(a,1,2)),flip(a)]. given #11458 (H,wt=26): 12498 (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),12497(a,2,2,2))]. given #11459 (H,wt=24): 12499 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(9765(a,1),12498(a,2,2))]. given #11460 (H,wt=25): 12500 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(240,a,11550,a(flip),b,12499,a(flip)),flip(a)]. given #11461 (H,wt=22): 12501 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(324(a,1),12500(a,1,2,3))]. given #11462 (H,wt=18): 12502 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12093,a,12501,a)]. given #11463 (H,wt=17): 12503 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(12270,a,12502,a)]. given #11464 (H,wt=17): 12505 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12503(a,1,2)),flip(a)]. given #11465 (H,wt=19): 12506 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12505(a,1),9724(a,1,2)),flip(a)]. given #11466 (H,wt=22): 12504 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(240,a,12495,a(flip),b,12502,a(flip))]. given #11467 (H,wt=22): 12509 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12504(a,1),9767(a,1,1))]. given #11468 (H,wt=22): 12510 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(11168,a,12509,a)]. given #11469 (H,wt=23): 12507 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12505(a,1),9735(a,1,2)),flip(a)]. given #11470 (H,wt=29): 12508 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(240,a,9781,a(flip),b,12506,a(flip))]. given #11471 (H,wt=25): 12511 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10971(a,1),12508(a,1,2,1)),flip(a)]. given #11472 (H,wt=25): 12512 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(240,a,12507,a,b,12511,a)]. given #11473 (H,wt=36): 12514 (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(12512(a,1),10586(a,2,1,1))]. given #11474 (H,wt=30): 12515 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12324(a,1),12514(a,2,1))]. given #11475 (H,wt=28): 12517 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12505(a,1),12515(a,2,1,1))]. given #11476 (H,wt=26): 12518 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7366(a,1),12517(a,1,1,1))]. given #11477 (H,wt=26): 12520 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11569(a,1),12518(a,1,1))]. given #11478 (H,wt=20): 12521 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10906(a,1),12520(a,1,1)),flip(a)]. given #11479 (H,wt=27): 12523 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(12521(a,2),517(a,1))]. given #11480 (H,wt=28): 12522 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(73,a,12521,a(flip),b,671,a)]. given #11481 (H,wt=19): 12524 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(10111,a,12522,a),flip(a)]. given #11482 (H,wt=17): 12525 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12082(a,1),12524(a,2,2))]. given #11483 (H,wt=11): 12527 K(x,a(y,z,y)) != u | 1 = u. [para(12525(a,1),10817(a,1))]. given #11484 (H,wt=12): 12526 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(240,a,12089,a(flip),b,12525,a)]. given #11485 (H,wt=12): 12530 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12526,a)]. given #11486 (H,wt=31): 12531 (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(12530(a,1),10216(a,1,2))]. given #11487 (H,wt=23): 12532 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12145(a,1),12531(a,1,1,2,1))]. given #11488 (H,wt=16): 12533 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(484,a,12532,a),flip(a)]. given #11489 (H,wt=12): 12534 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12084,a(flip),b,12533,a)]. given #11490 (H,wt=9): 12541 L(x,y,a(z,u,z)) = x. [para(12534(a,1),12530(a,1,3))]. given #11491 (H,wt=12): 12537 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(240,a,12503,a(flip),b,12534,a(flip)),flip(a)]. given #11492 (H,wt=14): 12542 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(240,a,12083,a,b,12541,a),flip(a)]. given #11493 (H,wt=12): 12553 L(x,y,a(z,u,z)) != w | w = x. [para(12542(a,1),12092(a,1))]. given #11494 (H,wt=15): 12551 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(240,a,11555,a,b,12537,a)]. given #11495 (H,wt=16): 12538 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(240,a,12193,a(flip),b,12534,a(flip))]. given #11496 (H,wt=17): 12539 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12534(a,1),118(a,1,1)),flip(a)]. given #11497 (H,wt=17): 12543 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(240,a,235,a(flip),b,12541,a(flip)),flip(a)]. given #11498 (H,wt=17): 12544 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12541(a,1),501(a,1,2))]. given #11499 (H,wt=17): 12548 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12541(a,1),12090(a,1,2))]. given #11500 (H,wt=15): 12562 (1 / x) * a(y,z,y) = a(y,z,y) / x. [hyper(75,a,64,a(flip),b,12548,a),flip(a)]. given #11501 (H,wt=17): 12555 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11693,a,12551,a),flip(a)]. given #11502 (H,wt=17): 12561 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),12544(a,1,1)),flip(a)]. given #11503 (H,wt=17): 12567 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(81,a,12561,a),flip(a)]. given #11504 (H,wt=19): 12552 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12537(a,1),12510(a,1,2)),flip(a)]. given #11505 (H,wt=14): 12568 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(240,a,9651,a(flip),b,12552,a)]. given #11506 (H,wt=15): 12571 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(468(a,1),12568(a,1,2)),flip(a)]. given #11507 (H,wt=15): 12572 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(10015,a,12571,a),flip(a)]. given #11508 (H,wt=19): 12560 a(x,y,x) * ((x \ z) * u) = (L(x,y,x) \ z) * u. [para(12105(a,1),12539(a,1,1)),flip(a)]. given #11509 (H,wt=19): 12566 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),12555(a,1,2))]. given #11510 (H,wt=20): 12545 a(x,y,x) * z != (a(x,y,x) * u) * w | u * w = z. [para(12541(a,1),439(a,1,2)),flip(a)]. given #11511 (H,wt=20): 12554 (a(x,y,x) * z) \ u != w | z \ (a(x,y,x) \ u) = w. [para(235(a,1),12553(a,1)),flip(b)]. given #11512 (H,wt=20): 12564 a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. [para(9651(a,1),12548(a,1,1)),flip(a)]. given #11513 (H,wt=20): 12570 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(9759,a,12568,a),flip(a)]. given #11514 (H,wt=16): 12576 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(10419,a,12570,a)]. given #11515 (H,wt=14): 12577 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(240,a,11862,a(flip),b,12576,a(flip)),flip(a)]. given #11516 (H,wt=17): 12579 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(240,a,12009,a(flip),b,12577,a(flip)),flip(a)]. given #11517 (H,wt=24): 12536 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(240,a,476,a,b,12534,a(flip)),flip(a)]. given #11518 (H,wt=24): 12546 (a(x,y,x) * z) * u != w * v5 | w \ (a(x,y,x) * (z * u)) = v5. [para(12541(a,1),524(a,1,2))]. given #11519 (H,wt=24): 12575 a(x,x \ y,x) * ((y * x) \ z) = K(x,x \ y) * ((x * y) \ z). [para(9603(a,1),12564(a,1,2))]. given #11520 (H,wt=25): 12557 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5447(a,1),12538(a,1,2)),flip(a)]. given #11521 (H,wt=25): 12573 (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). [para(12572(a,1),7443(a,1,1,2))]. given #11522 (H,wt=15): 12584 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(7444,a,12573,a),flip(a)]. given #11523 (H,wt=25): 12574 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(240,a,11079,a,b,12566,a(flip)),flip(a)]. given #11524 (H,wt=23): 12585 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(240,a,11465,a(flip),b,12574,a(flip))]. given #11525 (H,wt=25): 12581 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(240,a,11640,a(flip),b,12579,a(flip))]. given #11526 (H,wt=21): 12588 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(240,a,11719,a(flip),b,12581,a(flip)),flip(a)]. given #11527 (H,wt=13): 12589 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6450(a,1),12588(a,1,1))]. given #11528 (H,wt=12): 12590 R(K(x,y),K(x,z),u) = K(x,y). [para(4025(a,1),12589(a,2,1))]. given #11529 (H,wt=13): 12594 R(K(x,y),y,z) != u | K(x,y) = u. [para(12589(a,2),10110(a,1))]. given #11530 (H,wt=15): 12591 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12589(a,2),4977(a,1,1))]. given #11531 (H,wt=13): 12597 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(6439,a,12591,a)]. given #11532 (H,wt=13): 12600 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(240,a,12589,a(flip),b,12597,a(flip)),flip(a)]. given #11533 (H,wt=15): 12599 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(240,a,12,a,b,12597,a),flip(a)]. given #11534 (H,wt=16): 12598 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12591(a,1),6439(a,1))]. given #11535 (H,wt=16): 12610 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12599(a,1),85(a,1)),flip(b)]. given #11536 (H,wt=16): 12611 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12589(a,1),12610(a,1))]. given #11537 (H,wt=17): 12605 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12597(a,1),12285(a,1,2))]. given #11538 (H,wt=15): 12612 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(12298,a,12605,a)]. given #11539 (H,wt=18): 12601 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(203(a,2),12597(a,2,2)),flip(a)]. given #11540 (H,wt=19): 12596 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12590(a,1),118(a,1,1)),flip(a)]. given #11541 (H,wt=10): 12616 L(x,K(y,z),K(y,u)) = x. [hyper(438,a,12596,a)]. given #11542 (H,wt=19): 12617 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(240,a,5739,a(flip),b,12616,a(flip)),flip(a)]. given #11543 (H,wt=20): 12593 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12589(a,2),7532(a,1))]. given #11544 (H,wt=20): 12606 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. [para(12597(a,1),12295(a,1,2))]. given #11545 (H,wt=18): 12620 a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. [para(12292(a,1),12606(a,1))]. given #11546 (H,wt=20): 12615 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(10283,a,12601,a)]. given #11547 (H,wt=17): 12621 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(240,a,8825,a(flip),b,12615,a(flip))]. given #11548 (H,wt=17): 12622 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(12610,a,12621,a)]. given #11549 (H,wt=16): 12625 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(12622(a,1),11912(a,1,2))]. given #11550 (H,wt=17): 12626 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(2708(a,1),12625(a,1,2,2)),flip(a)]. given #11551 (H,wt=17): 12627 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8001,a,12626,a)]. given #11552 (H,wt=17): 12628 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),12626(a,2,2,2))]. given #11553 (H,wt=17): 12632 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12628(a,1),8593(a,2,2))]. given #11554 (H,wt=18): 12624 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),12622(a,1,2)),flip(a)]. given #11555 (H,wt=19): 12629 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(12626(a,1),7521(a,2,2))]. given #11556 (H,wt=19): 12630 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12626(a,1),7522(a,1,2,2))]. given #11557 (H,wt=18): 12636 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(240,a,8826,a(flip),b,12630,a(flip)),flip(a)]. given #11558 (H,wt=20): 12619 R(K(x,K(y,z)),u,w) != v5 | K(x,K(y,R(z,u,w))) = v5. [para(7491(a,2),12593(a,1,1))]. given #11559 (H,wt=20): 12623 K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. [para(12621(a,1),12610(a,1))]. given #11560 (H,wt=21): 12613 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12605(a,1),12197(a,1,1)),flip(a)]. given #11561 (H,wt=22): 12608 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6518,a,12600,a),flip(a)]. given #11562 (H,wt=22): 12637 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12636(a,1),8420(a,1,2))]. given #11563 (H,wt=22): 12639 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12611,a,12608,a)]. given #11564 (H,wt=23): 12631 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(240,a,8000,a(flip),b,12627,a(flip))]. given #11565 (H,wt=19): 12642 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7947,a,12631,a),flip(a)]. given #11566 (H,wt=19): 12643 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8001,a,12642,a)]. given #11567 (H,wt=24): 12607 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12597(a,1),12308(a,2,1,2))]. given #11568 (H,wt=22): 12645 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4800(a,2),12607(a,2,1))]. given #11569 (H,wt=25): 12618 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(240,a,5883,a(flip),b,12617,a(flip))]. given #11570 (H,wt=23): 12646 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(8506(a,1),12618(a,1,2)),flip(a)]. given #11571 (H,wt=23): 12647 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(240,a,5166,a(flip),b,12646,a)]. given #11572 (H,wt=21): 12648 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8131(a,1),12647(a,2,2))]. given #11573 (H,wt=27): 12582 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12106(a,1),12536(a,1,1,1))]. given #11574 (H,wt=24): 12650 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(118(a,1),12582(a,1,1))]. given #11575 (H,wt=28): 12586 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(240,a,12347,a,b,12585,a),flip(a)]. given #11576 (H,wt=23): 12652 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),12586(a,1,2))]. given #11577 (H,wt=18): 12653 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9659,a,12652,a)]. given #11578 (H,wt=15): 12654 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(240,a,12537,a(flip),b,12653,a)]. given #11579 (H,wt=12): 12655 L(a(x,y,x),z,u) = a(x,y,x). [hyper(240,a,12232,a(flip),b,12654,a(flip)),flip(a)]. given #11580 (H,wt=13): 12657 a(x,y * K(z,y),x) = a(x,y,x). [hyper(240,a,12538,a,b,12655,a(flip)),flip(a)]. given #11581 (H,wt=11): 12661 a(x,T(y,z),x) = a(x,y,x). [para(4812(a,1),12657(a,1,2)),flip(a)]. given #11582 (H,wt=13): 12662 a(x,y / z,x) = a(x,z \ y,x). [para(4813(a,1),12657(a,1,2))]. given #11583 (H,wt=17): 12659 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12655(a,1),106(a,1,2))]. given #11584 (H,wt=9): 12669 R(x,y,a(z,u,z)) = x. [hyper(4689,a,12659,a)]. given #11585 (H,wt=15): 12674 R(x,y,a(z,u,z)) = L(x,w,a(v5,v6,v5)). [hyper(240,a,12541,a,b,12669,a)]. given #11586 (H,wt=12): 12676 R(x,y,a(z,u,z)) != w | w = x. [para(12674(a,2),330(a,1))]. given #11587 (H,wt=17): 12670 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(582,a,12659,a)]. given #11588 (H,wt=18): 12673 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12226,a,12669,a)]. given #11589 (H,wt=12): 12679 T(x,y * a(z,u,z)) = T(x,y). [hyper(12553,a,12673,a)]. given #11590 (H,wt=12): 12686 T(x,a(y,z,y) \ u) = T(x,u). [para(12079(a,1),12679(a,1,2)),flip(a)]. given #11591 (H,wt=12): 12687 T(x,a(y,z,y) * u) = T(x,u). [para(12084(a,2),12679(a,1,2))]. given #11592 (H,wt=13): 12684 T(x,T(y,z) / z) = T(x,z \ y). [para(9643(a,1),12679(a,1,2))]. given #11593 (H,wt=14): 12683 K(x * a(y,z,y),u) = u / T(u,x). [para(12679(a,1),4750(a,2,2))]. given #11594 (H,wt=12): 12690 K(x * a(y,z,y),u) = K(x,u). [hyper(240,a,4750,a,b,12683,a)]. given #11595 (H,wt=12): 12695 K(a(x,y,x) * z,u) = K(z,u). [para(12084(a,2),12690(a,1,1))]. given #11596 (H,wt=14): 12685 T(x,y * L(z,u,z)) = T(x,y * z). [para(10902(a,1),12679(a,1,2)),flip(a)]. given #11597 (H,wt=14): 12688 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(240,a,4800,a(flip),b,12686,a)]. given #11598 (H,wt=12): 12701 K(x,a(y,z,y) \ u) = K(x,u). [hyper(4858,a,12688,a)]. given #11599 (H,wt=12): 12702 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),12701(a,1,2)),flip(a)]. given #11600 (H,wt=12): 12706 K(x,y * a(z,u,z)) = K(x,y). [para(12084(a,1),12702(a,1,2))]. given #11601 (H,wt=13): 12711 K(x,T(y,z) / z) = K(x,z \ y). [para(9643(a,1),12706(a,1,2))]. given #11602 (H,wt=14): 12692 K(x / L(y,z,y),u) = K(x / y,u). [para(10888(a,1),12690(a,1,1))]. given #11603 (H,wt=14): 12694 K(R(x,y,x) * z,u) = K(x * z,u). [para(11560(a,1),12690(a,1,1))]. given #11604 (H,wt=14): 12698 K(R(x,y,x) \ z,u) = K(x \ z,u). [para(12133(a,1),12695(a,1,1)),flip(a)]. given #11605 (H,wt=14): 12703 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9623(a,1),12701(a,1,2,1))]. given #11606 (H,wt=14): 12704 K(x,y * L(z,u,z)) = K(x,y * z). [para(12078(a,1),12701(a,1,2))]. given #11607 (H,wt=14): 12707 K(x,R(y,z,y) * u) = K(x,y * u). [para(12102(a,1),12702(a,1,2))]. given #11608 (H,wt=14): 12708 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(12105(a,1),12702(a,1,2))]. given #11609 (H,wt=14): 12709 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(12133(a,1),12702(a,1,2)),flip(a)]. given #11610 (H,wt=15): 12680 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12673(a,1),12553(a,1)),flip(b)]. given #11611 (H,wt=15): 12682 T(x,(y * z) * y) = T(x,y * (z * y)). [para(94(a,1),12679(a,1,2))]. given #11612 (H,wt=15): 12691 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(12683(a,2),4833(a,1))]. given #11613 (H,wt=15): 12729 T(x,a(y,z,y) * u) != w | T(x,u) = w. [para(12084(a,2),12680(a,1,2))]. given #11614 (H,wt=15): 12732 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12084(a,2),12691(a,1,1))]. given #11615 (H,wt=16): 12696 K(x * (y * a(z,u,z)),w) = K(x * y,w). [para(12659(a,1),12690(a,1,1))]. given #11616 (H,wt=16): 12697 K(x \ (y * a(z,u,z)),w) = K(x \ y,w). [para(12670(a,2),12690(a,1,1))]. given #11617 (H,wt=14): 12737 K(x \ L(y,z,y),u) = K(x \ y,u). [para(10892(a,1),12697(a,1,1,2)),flip(a)]. given #11618 (H,wt=16): 12705 K(x,a(y,z,y) * u) = (u * x) \ (x * u). [hyper(240,a,26,a(flip),b,12702,a)]. given #11619 (H,wt=15): 12740 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(12705(a,2),269(a,1))]. given #11620 (H,wt=16): 12731 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9643(a,1),12691(a,1,1))]. given #11621 (H,wt=13): 12742 K(x / T(y,x),z) = K(y \ x,z). [hyper(12731,a,9482,a),flip(a)]. given #11622 (H,wt=16): 12741 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(9621(a,1),12740(a,1,2))]. given #11623 (H,wt=16): 12743 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3954(a,1),12731(a,1,1))]. given #11624 (H,wt=17): 12689 T(x,K(y,z) * (K(z,y * z) * u)) = T(x,u). [para(12077(a,2),12686(a,1,2))]. given #11625 (H,wt=17): 12699 K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). [para(12564(a,1),12695(a,1,1))]. given #11626 (H,wt=17): 12700 T(x,y * T(z,z * u)) = T(x,y * T(z,u)). [para(7053(a,1),12685(a,1,2,2))]. given #11627 (H,wt=17): 12713 K(x / T(y / z,y),u) = K(x / (z \ y),u). [para(5441(a,1),12692(a,1,1,2))]. given #11628 (H,wt=17): 12714 K(x / ((y \ z) \ z),u) = K(x / T(y,z),u). [para(11841(a,1),12692(a,1,1,2)),flip(a)]. given #11629 (H,wt=17): 12716 K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). [para(7383(a,1),12694(a,1,1,1))]. given #11630 (H,wt=17): 12717 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(7383(a,1),12698(a,1,1,1))]. given #11631 (H,wt=13): 12750 K(T(x,y) \ y,z) = K(y / x,z). [hyper(8048,a,12717,a),flip(a)]. given #11632 (H,wt=13): 12753 K(x \ T(y,x),z) = K(y / x,z). [para(3924(a,1),12750(a,1,1))]. given #11633 (H,wt=17): 12719 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(5441(a,1),12704(a,1,2,2))]. given #11634 (H,wt=17): 12720 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(11841(a,1),12704(a,1,2,2)),flip(a)]. given #11635 (H,wt=17): 12722 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(7385(a,1),12707(a,1,2,1)),flip(a)]. given #11636 (H,wt=17): 12723 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(7383(a,1),12707(a,1,2,1))]. given #11637 (H,wt=17): 12724 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(5441(a,1),12708(a,1,2,1))]. given #11638 (H,wt=17): 12727 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11841(a,1),12708(a,1,2,1)),flip(a)]. given #11639 (H,wt=17): 12734 K(x * (T(y,z) / z),u) = K(x * (z \ y),u). [para(9643(a,1),12696(a,1,1,2))]. given #11640 (H,wt=17): 12735 K(x * K(y,y \ z),u) = K(x * K(y,z),u). [para(9651(a,1),12696(a,1,1,2))]. given #11641 (H,wt=17): 12736 K(K(x,x * y) * z,u) = K(K(x,y) * z,u). [para(10731(a,1),12696(a,1,1)),flip(a)]. given #11642 (H,wt=17): 12738 K(x \ T(y * z,y),u) = K(x \ (z * y),u). [para(11559(a,1),12697(a,1,1,2))]. given #11643 (H,wt=17): 12739 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [para(11841(a,1),12737(a,1,1,2)),flip(a)]. given #11644 (H,wt=17): 12744 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12742(a,1),9479(a,2,2))]. given #11645 (H,wt=17): 12745 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [para(5178(a,1),12689(a,1,2,2)),flip(a)]. given #11646 (H,wt=17): 12746 T(x,K(y,z * y) * u) = T(x,K(y,z) * u). [para(6863(a,1),12689(a,1,2))]. given #11647 (H,wt=17): 12748 K(T(x / y,x) * z,u) = K((y \ x) * z,u). [para(65(a,1),12716(a,1,1,1,1)),flip(a)]. given #11648 (H,wt=17): 12751 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(65(a,1),12717(a,1,1,1,1)),flip(a)]. given #11649 (H,wt=17): 12757 K(x,y * T(z,z \ u)) = K(x,y * T(z,u)). [para(123(a,2),12720(a,1,2,2))]. given #11650 (H,wt=17): 12758 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(65(a,1),12723(a,1,2,1,1)),flip(a)]. given #11651 (H,wt=17): 12762 K(x * (y / T(z,y)),u) = K(x * (z \ y),u). [para(3954(a,1),12734(a,1,1,2))]. given #11652 (H,wt=17): 12763 K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). [para(14(a,1),12738(a,1,1,2,1)),flip(a)]. given #11653 (H,wt=17): 12767 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(6469(a,1),12745(a,1,2,1))]. given #11654 (H,wt=17): 12768 K(x \ y,z * T(x,y)) = K(x \ y,z * x). [hyper(8210,a,12757,a),flip(a)]. given #11655 (H,wt=17): 12772 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),12767(a,1,2,1,1)),flip(a)]. given #11656 (H,wt=18): 12710 K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). [para(12560(a,1),12702(a,1,2))]. given #11657 (H,wt=18): 12770 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(12763(a,2),7789(a,1))]. given #11658 (H,wt=18): 12776 K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. [para(9152(a,2),12770(a,1))]. given #11659 (H,wt=18): 12777 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(11028(a,1),12770(a,1))]. given #11660 (H,wt=19): 12665 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(196(a,1),12661(a,1,2)),flip(a)]. given #11661 (H,wt=19): 12672 (x * (y \ z)) * a(y,u,y) = x * (L(y,u,y) \ z). [para(10910(a,1),12659(a,2,2))]. given #11662 (H,wt=18): 12778 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(12672(a,1),12706(a,1,2))]. given #11663 (H,wt=17): 12780 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [para(6764(a,1),12778(a,1,2,2))]. given #11664 (H,wt=17): 12782 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(3954(a,2),12780(a,1,2,2))]. given #11665 (H,wt=19): 12712 K(x,L(T(y,z) / z,u,w)) = L(K(x,z \ y),u,w). [para(12711(a,1),11248(a,1,1)),flip(a)]. given #11666 (H,wt=19): 12728 (K(x,y \ 1) * z) * y = K(x,y \ 1) * (z * y). [para(12709(a,1),6423(a,1,1)),flip(a)]. given #11667 (H,wt=10): 12784 L(x,y,K(z,x \ 1)) = x. [hyper(4679,a,12728,a)]. given #11668 (H,wt=19): 12747 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(73,a,12700,a(flip),b,4800,a(flip)),flip(a)]. given #11669 (H,wt=19): 12764 K(x \ T(y * z,z),u) = K(x \ (T(y,z) * z),u). [para(122(a,1),12738(a,1,1,2,1))]. given #11670 (H,wt=19): 12773 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(73,a,12772,a(flip),b,4800,a(flip)),flip(a)]. given #11671 (H,wt=17): 12786 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(240,a,4753,a,b,12773,a)]. given #11672 (H,wt=20): 12666 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(492(a,1),12661(a,1,2)),flip(a)]. given #11673 (H,wt=20): 12726 K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). [para(6935(a,1),12708(a,1,2,1))]. given #11674 (H,wt=20): 12733 K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. [para(12564(a,1),12732(a,1,1))]. given #11675 (H,wt=20): 12785 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(12747(a,2),4860(a,1))]. given #11676 (H,wt=20): 12787 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(12773(a,2),4860(a,1))]. given #11677 (H,wt=20): 12789 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(240,a,12665,a(flip),b,12666,a(flip)),flip(a)]. given #11678 (H,wt=21): 12678 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12659(a,1),12670(a,1,2))]. given #11679 (H,wt=21): 12752 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [para(12717(a,1),7098(a,1,1,2)),flip(a)]. given #11680 (H,wt=20): 12791 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12752(a,2),7112(a,1))]. given #11681 (H,wt=21): 12760 K(x * (T(y,z) / z),u) = w / (K(u,x * (z \ y)) * w). [hyper(240,a,5184,a,b,12734,a)]. given #11682 (H,wt=20): 12792 K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. [para(12760(a,2),5194(a,1))]. given #11683 (H,wt=21): 12774 T(x,K(y * (z * u),z) * w) = T(x,K(y * u,z) * w). [para(10140(a,1),12772(a,1,2,1)),flip(a)]. given #11684 (H,wt=21): 12775 K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). [para(11841(a,1),12710(a,1,2,1,1)),flip(a)]. given #11685 (H,wt=19): 12794 K(x,(T(y,z) \ z) * u) = K(x,T(y \ z,z) * u). [hyper(240,a,12723,a(flip),b,12775,a(flip))]. given #11686 (H,wt=19): 12796 K(x,T(y \ z,z) * u) = K(x,(y \ T(z,y)) * u). [para(3924(a,1),12794(a,1,2,1)),flip(a)]. given #11687 (H,wt=21): 12779 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(5441(a,1),12778(a,1,2,2,1))]. given #11688 (H,wt=21): 12781 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(11841(a,1),12778(a,1,2,2,1)),flip(a)]. given #11689 (H,wt=22): 12783 K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(12712(a,2),11281(a,1))]. given #11690 (H,wt=23): 12718 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(12703(a,1),6671(a,1,1))]. given #11691 (H,wt=18): 12798 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(10836,a,12718,a),flip(a)]. given #11692 (H,wt=16): 12800 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12114(a,1),12798(a,1,2,1))]. given #11693 (H,wt=16): 12804 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(12543(a,1),12800(a,1,2))]. given #11694 (H,wt=14): 12806 K(x,y \ R(z,u,z)) = K(x,y \ z). [para(9635(a,1),12804(a,1,2,2)),flip(a)]. given #11695 (H,wt=16): 12805 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(13(a,1),12804(a,1,2,2)),flip(a)]. given #11696 (H,wt=17): 12802 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(12103(a,1),12800(a,1,2,1))]. given #11697 (H,wt=17): 12803 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(12107(a,1),12800(a,1,2,1))]. given #11698 (H,wt=17): 12807 K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). [para(9622(a,1),12804(a,1,2,2))]. given #11699 (H,wt=17): 12808 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(4224(a,1),12806(a,1,2,2))]. given #11700 (H,wt=17): 12809 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(7385(a,1),12806(a,1,2,2)),flip(a)]. given #11701 (H,wt=17): 12811 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9621(a,1),12805(a,1,2,2))]. given #11702 (H,wt=17): 12812 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(12103(a,1),12805(a,1,2,2))]. given #11703 (H,wt=17): 12814 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12802(a,1,2,1,1)),flip(a)]. given #11704 (H,wt=13): 12818 K(x,T(y,z) \ z) = K(x,z / y). [hyper(8236,a,12814,a),flip(a)]. given #11705 (H,wt=16): 12820 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(12814(a,1),8236(a,1))]. given #11706 (H,wt=16): 12821 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3924(a,1),12820(a,1,2))]. given #11707 (H,wt=17): 12815 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),12803(a,1,2,1,1)),flip(a)]. given #11708 (H,wt=17): 12816 K(x \ y,z \ T(x,y)) = K(x \ y,z \ x). [hyper(8211,a,12808,a),flip(a)]. given #11709 (H,wt=21): 12819 K(x \ y,y \ (x * (z / x))) = K(y / x,T(y,x) \ z). [hyper(240,a,10422,a(flip),b,12814,a(flip)),flip(a)]. given #11710 (H,wt=21): 12822 K(x \ T(y,z),y \ z) = u / (K(y \ z,x \ y) * u). [para(12816(a,1),5184(a,1,2,1)),flip(a)]. given #11711 (H,wt=20): 12823 K(x \ T(y,z),y \ z) != u | K(x \ y,y \ z) = u. [para(12822(a,2),5194(a,1))]. given #11712 (H,wt=22): 12801 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(6708,a,12800,a)]. given #11713 (H,wt=22): 12813 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [hyper(240,a,6671,a,b,12802,a),flip(a)]. given #11714 (H,wt=20): 12824 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(12813(a,1),9363(a,1))]. given #11715 (H,wt=23): 12769 T(x,y \ ((z \ u) * z)) = (x * w) / (K(y \ T(u,z),x) * w). [para(12763(a,1),5083(a,1,2,1)),flip(a)]. given #11716 (H,wt=17): 12825 T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). [hyper(240,a,5083,a(flip),b,12769,a)]. given #11717 (H,wt=25): 12730 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5446(a,1),12682(a,1,2)),flip(a)]. given #11718 (H,wt=15): 12826 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4740(a,1),12730(a,1,2,2))]. given #11719 (H,wt=25): 12749 K(T((x \ y) * z,y \ x) * u,w) = K(T((x \ y) * z,z) * u,w). [para(6089(a,2),12716(a,1,1,1))]. given #11720 (H,wt=25): 12754 K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). [hyper(240,a,10023,a(flip),b,12753,a(flip)),flip(a)]. given #11721 (H,wt=23): 12827 K(x / y,(y \ T(x,y)) \ z) = K(x / y,T(x,y) \ (y * z)). [hyper(240,a,12753,a(flip),b,12754,a(flip))]. given #11722 (H,wt=25): 12817 K(x,y \ T(K(z,u) * w,T(z,u))) = K(x,y \ ((z \ w) * T(z,u))). [para(4780(a,1),12812(a,1,2,2,1))]. given #11723 (H,wt=23): 12828 K(x,y \ T(z * K(u,w),u)) = K(x,y \ ((u \ z) * T(u,w))). [para(7058(a,1),12817(a,1,2,2))]. given #11724 (H,wt=26): 12677 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12670(a,1),12110(a,1))]. given #11725 (H,wt=26): 12761 K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). [para(108(a,2),12734(a,2,1,2))]. given #11726 (H,wt=22): 12829 K(x * L(y \ z,y,u),w) = K(x * ((u * y) \ (u * z)),w). [hyper(12792,a,12761,a),flip(a)]. given #11727 (H,wt=26): 12766 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12744(a,1),11095(a,1,1,2))]. given #11728 (H,wt=22): 12831 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),12766(a,1,1))]. given #11729 (H,wt=10): 12832 L(x,K(y \ x,z),x) = x. [hyper(7656,a,12831,a)]. given #11730 (H,wt=8): 12834 L(x,K(y,z),x) = x. [para(65(a,1),12832(a,1,2,1))]. given #11731 (H,wt=13): 12835 T(K(x,y) * z,z) = z * K(x,y). [hyper(240,a,9749,a(flip),b,12834,a(flip)),flip(a)]. given #11732 (H,wt=15): 12836 (x * K(y,z)) * x = x * (K(y,z) * x). [para(12834(a,1),106(a,1,2))]. given #11733 (H,wt=15): 12837 (x * (K(y,z) * x)) / x = x * K(y,z). [para(12834(a,1),142(a,1,2))]. given #11734 (H,wt=15): 12841 (K(x,y) * z) * z = z * (z * K(x,y)). [para(12835(a,1),122(a,1,2)),flip(a)]. given #11735 (H,wt=18): 12844 (x * (K(y,z) * x)) / x != u | x * K(y,z) = u. [para(12836(a,1),299(a,1,1)),flip(b)]. given #11736 (H,wt=19): 12842 T(K(x,y) * z,u) * z = z * T(z * K(x,y),u). [para(12835(a,1),191(a,1,2,1)),flip(a)]. given #11737 (H,wt=19): 12843 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(5037(a,1),12835(a,1,1))]. given #11738 (H,wt=17): 12847 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(5818,a,12843,a)]. given #11739 (H,wt=23): 12846 T((x * K(y,z)) * x,K(x,u)) / x = T(K(y,z) * x,T(x,u)). [hyper(75,a,6178,a,b,12842,a)]. given #11740 (H,wt=23): 12848 T(x * (K(y,z) * x),K(x,u)) / x = T(K(y,z) * x,T(x,u)). [para(12836(a,1),12846(a,1,1,1))]. given #11741 (H,wt=23): 12849 (x * T(K(y,z) * x,K(x,u))) / x = T(K(y,z) * x,T(x,u)). [para(6902(a,1),12848(a,1,1))]. given #11742 (H,wt=23): 12850 (x * (x * T(K(y,z),T(x,u)))) / x = T(K(y,z) * x,T(x,u)). [para(6178(a,1),12849(a,1,1,2))]. given #11743 (H,wt=27): 12755 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(y / x,(x \ T(y,x)) \ z). [para(12753(a,1),4976(a,1,2)),flip(a)]. given #11744 (H,wt=27): 12759 T(x / y,x) * (z / T(x / y,x)) = z * K(T(x / y,x),(y \ x) \ z). [para(12724(a,1),4976(a,1,2)),flip(a)]. given #11745 (H,wt=25): 12851 T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). [para(7145(a,1),12759(a,2,2))]. given #11746 (H,wt=23): 12852 T(x / y,x) * (z / T(x / y,x)) = (y \ x) * (z / (y \ x)). [hyper(240,a,4976,a(flip),b,12851,a)]. given #11747 (H,wt=26): 12853 T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. [para(12851(a,2),5138(a,1))]. given #11748 (H,wt=27): 12765 K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (y * z)). [hyper(240,a,10026,a(flip),b,12739,a(flip)),flip(a)]. given #11749 (H,wt=27): 12854 K((x * y) \ (z * y),z \ (x * y)) = K(x \ T(z,x * y),z \ (x * y)). [hyper(240,a,10029,a(flip),b,12765,a(flip)),flip(a)]. given #11750 (H,wt=26): 12855 K((x * y) \ (z * y),z \ (x * y)) != u | K(x \ z,z \ (x * y)) = u. [para(12854(a,2),12823(a,1))]. given #11751 (H,wt=28): 12790 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(12113,a,12678,a),flip(a)]. given #11752 (H,wt=20): 12856 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12677,a,12790,a),flip(a)]. given #11753 (H,wt=15): 12857 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(12083(a,1),12856(a,1,1))]. given #11754 (H,wt=9): 12858 L(x,a(y,z,y),u) = x. [hyper(240,a,12541,a(flip),b,12857,a)]. given #11755 (H,wt=17): 12861 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(240,a,235,a(flip),b,12858,a(flip)),flip(a)]. given #11756 (H,wt=17): 12862 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12858(a,1),106(a,1,2))]. given #11757 (H,wt=9): 12865 R(x,a(y,z,y),u) = x. [hyper(4588,a,12862,a)]. given #11758 (H,wt=11): 12873 R(x,y \ R(y,z,y),u) = x. [para(9623(a,1),12865(a,1,2))]. given #11759 (H,wt=15): 12872 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(494,a,12865,a)]. given #11760 (H,wt=15): 12875 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12122(a,1),12872(a,1,2))]. given #11761 (H,wt=15): 12876 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(240,a,12081,a(flip),b,12875,a)]. given #11762 (H,wt=17): 12864 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(12084(a,2),12861(a,1,1))]. given #11763 (H,wt=17): 12866 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(240,a,12548,a(flip),b,12862,a(flip)),flip(a)]. given #11764 (H,wt=16): 12885 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(12866(a,1),12687(a,1,2))]. given #11765 (H,wt=16): 12886 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(12866(a,1),12702(a,1,2))]. given #11766 (H,wt=16): 12887 T(x,y * (a(z,u,z) \ w)) = T(x,y * w). [para(14(a,1),12885(a,1,2,2)),flip(a)]. given #11767 (H,wt=14): 12891 T(x,L(y,z,y) * u) = T(x,y * u). [para(12087(a,1),12887(a,1,2))]. given #11768 (H,wt=16): 12889 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(14(a,1),12886(a,1,2,2)),flip(a)]. given #11769 (H,wt=17): 12867 a(x,y,x) \ (z * (a(x,y,x) * u)) = z * u. [hyper(73,a,12862,a(flip),b,12548,a(flip))]. given #11770 (H,wt=17): 12869 (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. [para(12079(a,1),12862(a,1,1)),flip(a)]. given #11771 (H,wt=17): 12874 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(240,a,12339,a,b,12873,a(flip)),flip(a)]. given #11772 (H,wt=17): 12879 a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u). [hyper(12554,a,12864,a),flip(a)]. given #11773 (H,wt=15): 12898 a(x,y,x) \ (z \ x) = z \ L(x,y,x). [para(10894(a,1),12879(a,2,2))]. given #11774 (H,wt=17): 12880 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(555,a,12866,a)]. given #11775 (H,wt=17): 12881 x * (a(y,z,y) * (x \ u)) = a(y,z,y) * u. [hyper(310,a,12866,a),flip(a)]. given #11776 (H,wt=17): 12882 a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. [hyper(240,a,91,a(flip),b,12866,a)]. given #11777 (H,wt=17): 12883 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(73,a,91,a(flip),b,12866,a)]. given #11778 (H,wt=17): 12888 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [para(12103(a,1),12885(a,1,2,2))]. given #11779 (H,wt=17): 12890 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(9638(a,1),12886(a,1,2,2)),flip(a)]. given #11780 (H,wt=17): 12892 K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). [para(9622(a,1),12889(a,1,2,2))]. given #11781 (H,wt=17): 12894 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [hyper(75,a,16,a(flip),b,12869,a)]. given #11782 (H,wt=15): 12904 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9633(a,1),12894(a,1,2)),flip(a)]. given #11783 (H,wt=17): 12895 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(73,a,14,a(flip),b,12869,a)]. given #11784 (H,wt=17): 12901 (a(x,y,x) * z) * (a(x,y,x) \ u) = z * u. [hyper(12545,a,12882,a),flip(a)]. given #11785 (H,wt=17): 12903 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [para(14(a,1),12888(a,1,2,2,1)),flip(a)]. given #11786 (H,wt=17): 12905 L(x,y,x) * (z / x) = x * (z / R(x,y,x)). [para(12904(a,1),12087(a,1,2)),flip(a)]. given #11787 (H,wt=17): 12908 x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). [hyper(75,a,16,a(flip),b,12901,a)]. given #11788 (H,wt=18): 12877 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(12875(a,2),12086(a,1))]. given #11789 (H,wt=18): 12899 K(x,y * (z \ L(u,w,u))) = K(x,y * (z \ u)). [para(12898(a,1),12889(a,1,2,2))]. given #11790 (H,wt=19): 12878 (x / y) * (z \ L(z,u,z)) = (a(z,u,z) \ x) / y. [hyper(240,a,12567,a,b,12876,a)]. given #11791 (H,wt=19): 12906 (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. [para(12904(a,1),12869(a,1,1))]. given #11792 (H,wt=19): 12907 a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u. [para(12078(a,1),12895(a,1,1)),flip(a)]. given #11793 (H,wt=19): 12909 a(x,y,x) * (z / (u / x)) = z / (u / R(x,y,x)). [para(12904(a,1),12908(a,1,2)),flip(a)]. given #11794 (H,wt=20): 12900 x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. [para(12881(a,1),241(a,1,2)),flip(b)]. given #11795 (H,wt=20): 12902 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(12882(a,1),12886(a,1,2,2)),flip(a)]. given #11796 (H,wt=21): 12871 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). [para(12659(a,1),12862(a,1,1))]. given #11797 (H,wt=21): 12910 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [para(11841(a,1),12899(a,1,2,2,2)),flip(a)]. given #11798 (H,wt=21): 12911 (L(x,y,x) * (x \ z)) / u = (z / u) * (x \ L(x,y,x)). [para(12099(a,2),12878(a,2,1)),flip(a)]. given #11799 (H,wt=21): 12915 K(x,y * (z * K(u \ w,u))) = K(x,y * (z * K(w,u))). [para(9622(a,1),12902(a,1,2,2,2))]. given #11800 (H,wt=21): 12916 K(x,y * (K(z,z * u) * w)) = K(x,y * (K(z,u) * w)). [para(12076(a,1),12902(a,1,2,2))]. given #11801 (H,wt=21): 12918 ((x * y) / z) * (x \ L(x,u,x)) = (L(x,u,x) * y) / z. [para(13(a,1),12911(a,1,1,2)),flip(a)]. given #11802 (H,wt=19): 12920 a(x,y,x) \ ((x * z) / u) = (L(x,y,x) * z) / u. [hyper(12877,a,12918,a)]. given #11803 (H,wt=17): 12921 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(240,a,12904,a(flip),b,12920,a(flip))]. given #11804 (H,wt=22): 12912 K(x,x \ y) * ((x * y) \ z) = (y * L(x,x \ y,x)) \ z. [hyper(240,a,12575,a(flip),b,12907,a(flip)),flip(a)]. given #11805 (H,wt=21): 12922 K(x,x \ y) * ((x * y) \ z) = (x * ((x \ y) * x)) \ z. [para(435(a,1),12912(a,2,1))]. given #11806 (H,wt=22): 12913 K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). [para(12907(a,1),12886(a,1,2,2))]. given #11807 (H,wt=23): 12919 K(x,y * ((z * u) * K(u,w))) = K(x,y * (z * ((w \ u) * w))). [para(10032(a,1),12915(a,1,2,2)),flip(a)]. given #11808 (H,wt=21): 12924 K(x,y * (z * ((u \ w) * u))) = K(x,y * (z * T(w,u))). [para(5929(a,1),12919(a,1,2,2)),flip(a)]. given #11809 (H,wt=23): 12923 K(x,y * ((z * (1 / u)) \ w)) = K(x,y * ((z * (u \ 1)) \ w)). [para(1851(a,1),12913(a,1,2,2,1,2))]. given #11810 (H,wt=24): 12863 (x * a(y,z,y)) * u != w * v5 | w \ (x * (a(y,z,y) * u)) = v5. [para(12858(a,1),524(a,1,2))]. given #11811 (H,wt=24): 12870 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12862(a,1),12650(a,1,1,1))]. given #11812 (H,wt=24): 12884 (x * (a(y,z,y) * u)) \ w != v5 | (x * u) \ (a(y,z,y) \ w) = v5. [para(12866(a,1),12554(a,1,1))]. given #11813 (H,wt=24): 12893 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(401,a,xx,b,12869,a)]. given #11814 (H,wt=24): 12897 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(9847(a,2),12874(a,1,1,2))]. given #11815 (H,wt=20): 12928 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(10723,a,12897,a)]. given #11816 (H,wt=20): 12929 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(8186,a,12928,a)]. given #11817 (H,wt=22): 12930 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12929(a,1),5918(a,1,1)),flip(a)]. given #11818 (H,wt=18): 12931 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(240,a,4629,a(flip),b,12930,a)]. given #11819 (H,wt=22): 12932 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8677(a,1),12931(a,1,2))]. given #11820 (H,wt=22): 12933 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(10329(a,1),12931(a,1,1))]. given #11821 (H,wt=22): 12934 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7217(a,2),12932(a,1,1))]. given #11822 (H,wt=15): 12936 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(240,a,11148,a(flip),b,12934,a(flip)),flip(a)]. given #11823 (H,wt=15): 12938 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12936(a,1,2,2)),flip(a)]. given #11824 (H,wt=19): 12939 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12938(a,1,2))]. given #11825 (H,wt=24): 12927 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(12084(a,1),12893(a,1,2))]. given #11826 (H,wt=24): 12940 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(240,a,12864,a(flip),b,12927,a)]. given #11827 (H,wt=22): 12941 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12940(a,2,2))]. given #11828 (H,wt=17): 12942 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(12680,a,12941,a),flip(a)]. given #11829 (H,wt=21): 12945 T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). [para(12942(a,1),12895(a,1,1))]. given #11830 (H,wt=22): 12944 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12942(a,1),12076(a,1,2))]. given #11831 (H,wt=22): 12946 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12944(a,1,2,1)),flip(a)]. given #11832 (H,wt=17): 12947 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(12136,a,12946,a),flip(a)]. given #11833 (H,wt=25): 12914 (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). [para(12909(a,1),12906(a,1,2))]. given #11834 (H,wt=25): 12917 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ T(u * w,w))). [para(3892(a,2),12910(a,1,2,2,2))]. given #11835 (H,wt=26): 12926 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12870(a,1,2,1))]. given #11836 (H,wt=22): 12949 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12881(a,1),12926(a,1,1,1)),flip(a)]. given #11837 (H,wt=17): 12950 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(240,a,30,a,b,12949,a)]. given #11838 (H,wt=17): 12952 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12950(a,1,2,2)),flip(a)]. given #11839 (H,wt=12): 12953 a(x,R(y,z,u),x) = a(x,y,x). [hyper(240,a,12534,a(flip),b,12952,a(flip))]. given #11840 (H,wt=17): 12955 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(240,a,12789,a(flip),b,12953,a(flip)),flip(a)]. given #11841 (H,wt=15): 12959 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(11(a,1),12955(a,1,2,2))]. given #11842 (H,wt=15): 12960 a(x,y * (z \ 1),x) = a(x,z \ y,x). [para(129(a,1),12955(a,1,2))]. given #11843 (H,wt=15): 12962 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(240,a,12662,a,b,12959,a(flip)),flip(a)]. given #11844 (H,wt=18): 12956 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12953(a,1),9652(a,1,1)),flip(a)]. given #11845 (H,wt=16): 12965 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(240,a,9652,a(flip),b,12956,a)]. given #11846 (H,wt=20): 12957 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12953(a,1),12103(a,1,1))]. given #11847 (H,wt=18): 12967 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12128,a,12957,a)]. given #11848 (H,wt=23): 12961 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12955(a,1),12100(a,1,2,1)),flip(a)]. given #11849 (H,wt=20): 12969 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(12961(a,2),12135(a,1))]. given #11850 (H,wt=24): 12966 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12965(a,1),12389(a,1,2))]. given #11851 (H,wt=19): 12970 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(742(a,1),12966(a,1,2)),flip(a)]. given #11852 (H,wt=26): 12972 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12970(a,1),4750(a,2,2)),flip(a)]. given #11853 (H,wt=26): 12973 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(240,a,12376,a(flip),b,12972,a(flip)),flip(a)]. given #11854 (H,wt=24): 12974 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12292(a,1),12973(a,1,1))]. given #11855 (H,wt=24): 12975 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(240,a,12415,a,b,12974,a(flip))]. given #11856 (H,wt=19): 12976 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(616(a,1),12975(a,2,1,2))]. given #11857 (H,wt=21): 12978 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12976(a,1,1))]. given #11858 (H,wt=21): 12979 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(240,a,9508,a(flip),b,12978,a(flip)),flip(a)]. given #11859 (H,wt=21): 12980 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(240,a,10368,a(flip),b,12979,a(flip)),flip(a)]. given #11860 (H,wt=21): 12981 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4994(a,1),12980(a,2,1))]. given #11861 (H,wt=27): 12963 (K(x,y) * (z \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. [para(12960(a,1),9648(a,1,2))]. given #11862 (H,wt=25): 12982 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. [hyper(240,a,12672,a(flip),b,12963,a(flip)),flip(a)]. given #11863 (H,wt=25): 12983 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. [para(11248(a,1),12982(a,2,1))]. given #11864 (H,wt=27): 12968 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12967(a,2),3937(a,1,1))]. given #11865 (H,wt=23): 12985 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(240,a,11563,a(flip),b,12968,a(flip)),flip(a)]. given #11866 (H,wt=27): 12977 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(8191,a,12976,a)]. given #11867 (H,wt=25): 12986 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12976(a,1),12977(a,1,1))]. given #11868 (H,wt=28): 12984 K(x,L(y,z \ 1,z)) / z != K(x,y) * u | L(z,z \ K(x,y),z) \ 1 = u. [para(12983(a,1),19(a,1))]. given #11869 (H,wt=29): 12563 (a(x,y,x) * (z * u)) \ ((z * a(x,y,x)) * (u * w)) = L(w,u,z * a(x,y,x)). [para(12548(a,1),28(a,2,1)),flip(a)]. given #11870 (H,wt=29): 12795 K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). [para(5077(a,1),12775(a,1,2,1,1,1))]. given #11871 (H,wt=25): 12988 K(x,(T(T(y,z),y * u) \ w) * v5) = K(x,(T(T(y,z),u) \ w) * v5). [para(7286(a,1),12795(a,1,2,1,1)),flip(a)]. given #11872 (H,wt=29): 12845 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). [para(12837(a,1),8740(a,1,2,1,2))]. given #11873 (H,wt=29): 12987 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,z * a(x,y,x)). [para(12548(a,1),12563(a,1,2))]. given #11874 (H,wt=29): 12989 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12084(a,2),12987(a,2,3))]. given #11875 (H,wt=22): 12990 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(772,a,12989,a)]. given #11876 (H,wt=14): 12991 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(12553,a,12990,a)]. given #11877 (H,wt=12): 12994 L(x,y,R(z,u,z)) = L(x,y,z). [para(9633(a,1),12991(a,1,3))]. given #11878 (H,wt=12): 12997 L(x,y,L(z,u,z)) = L(x,y,z). [para(10893(a,1),12991(a,1,3)),flip(a)]. given #11879 (H,wt=14): 12998 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(12084(a,1),12991(a,1,3))]. given #11880 (H,wt=15): 12995 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9638(a,1),12991(a,1,3)),flip(a)]. given #11881 (H,wt=15): 12996 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9621(a,1),12991(a,1,3))]. given #11882 (H,wt=10): 13007 L(x,y \ z,K(y,z)) = x. [hyper(5396,a,12996,a)]. given #11883 (H,wt=15): 12999 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(12103(a,1),12991(a,1,3))]. given #11884 (H,wt=15): 13000 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(12107(a,1),12991(a,1,3))]. given #11885 (H,wt=15): 13003 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(4224(a,1),12994(a,1,3))]. given #11886 (H,wt=15): 13008 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(14(a,1),12999(a,1,3,1)),flip(a)]. given #11887 (H,wt=15): 13009 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(14(a,1),13000(a,1,3,1)),flip(a)]. given #11888 (H,wt=10): 13014 L(x,y / z,K(y,z)) = x. [hyper(7016,a,13009,a)]. given #11889 (H,wt=16): 13001 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(12105(a,1),12991(a,1,3))]. given #11890 (H,wt=15): 13016 L(x,y,z / T(u,z)) = L(x,y,u \ z). [para(6764(a,1),13001(a,1,3))]. given #11891 (H,wt=17): 12992 L(x,y,a(z,u,z) * w) != v5 | L(x,y,w) = v5. [para(12990(a,1),12553(a,1)),flip(b)]. given #11892 (H,wt=15): 13017 L(x,y,R(z,u,z)) != w | L(x,y,z) = w. [para(9633(a,1),12992(a,1,3))]. given #11893 (H,wt=16): 13022 L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u. [para(1403(a,1),13017(a,1,3))]. given #11894 (H,wt=17): 13015 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13014(a,1),5222(a,1,2)),flip(a)]. given #11895 (H,wt=17): 13019 K(x,T(y,z)) != u | L(K(x,T(y,z)),y,w) = u. [para(10785(a,1),12992(a,1))]. given #11896 (H,wt=17): 13023 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5191,a,13015,a)]. given #11897 (H,wt=12): 13024 R(K(x,y),x \ y,z) = K(x,y). [hyper(8905,a,13023,a)]. given #11898 (H,wt=14): 13025 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),13024(a,1,2))]. given #11899 (H,wt=16): 13027 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(240,a,11715,a,b,13025,a(flip)),flip(a)]. given #11900 (H,wt=18): 13005 L(x,y,z * (u * a(w,v5,w))) = L(x,y,z * u). [para(12659(a,1),12998(a,1,3))]. given #11901 (H,wt=18): 13018 L(x,y,K(z,z \ u)) != w | L(x,y,K(z,u)) = w. [para(9621(a,1),12992(a,1,3))]. given #11902 (H,wt=18): 13020 L(x,y,T(z * u,z)) != w | L(x,y,u * z) = w. [para(12103(a,1),12992(a,1,3))]. given #11903 (H,wt=18): 13028 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13027(a,1),4800(a,2,2))]. given #11904 (H,wt=16): 13032 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(240,a,4800,a,b,13028,a)]. given #11905 (H,wt=15): 13033 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(240,a,4430,a(flip),b,13032,a(flip)),flip(a)]. given #11906 (H,wt=15): 13034 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),13033(a,1,2,1,2))]. given #11907 (H,wt=15): 13035 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(240,a,8643,a,b,13034,a(flip)),flip(a)]. given #11908 (H,wt=17): 13036 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(240,a,4800,a(flip),b,13035,a),flip(a)]. given #11909 (H,wt=15): 13037 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4800,a(flip),b,13036,a),flip(a)]. given #11910 (H,wt=15): 13038 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8625,a,13037,a)]. given #11911 (H,wt=19): 13010 L(x,y,K(z \ (u * w),w)) = L(x,y,K(z \ u,w)). [para(11028(a,2),13000(a,1,3))]. given #11912 (H,wt=19): 13011 L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). [para(6091(a,1),13003(a,1,3))]. given #11913 (H,wt=19): 13013 L(x,y,T((z \ u) * z,w)) = L(x,y,T(T(u,w),z)). [para(4535(a,2),13008(a,1,3))]. given #11914 (H,wt=19): 13030 L(x,y,z * K(u * w,u)) = L(x,y,z * K(w,u)). [para(9639(a,1),13005(a,1,3,2))]. given #11915 (H,wt=19): 13031 L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). [para(9651(a,1),13005(a,1,3,2))]. given #11916 (H,wt=20): 13041 L(x,y,T(z * u,u \ 1)) != w | L(x,y,u * z) = w. [para(13011(a,2),13020(a,1))]. given #11917 (H,wt=19): 13044 L(x,y,T(T(z,u \ 1),u)) = L(x,y,u * (u \ z)). [hyper(13041,a,13013,a),flip(a)]. given #11918 (H,wt=15): 13045 L(x,y,T(T(z,u \ 1),u)) = L(x,y,z). [para(14(a,1),13044(a,2,3))]. given #11919 (H,wt=17): 13046 L(x,y,T(z \ u,z \ 1)) = L(x,y,u / z). [para(194(a,1),13045(a,1,3))]. given #11920 (H,wt=21): 13004 ((x * (y * x)) / x) \ (L(x,y,x) * z) = L(y \ z,y,x). [hyper(240,a,4188,a(flip),b,12997,a(flip)),flip(a)]. given #11921 (H,wt=21): 13021 L(x,y,z * (a(u,w,u) * v5)) != v6 | L(x,y,z * v5) = v6. [para(12866(a,1),12992(a,1,3))]. given #11922 (H,wt=21): 13043 L(x,y,z / ((u \ w) * u)) = L(x,y,(z / w) * K(u,w)). [para(9935(a,1),13031(a,1,3))]. given #11923 (H,wt=19): 13048 L(x,y,z / ((u \ w) * u)) = L(x,y,z / T(w,u)). [para(7104(a,1),13043(a,2,3))]. given #11924 (H,wt=19): 13049 L(x,y,T(z,z \ u) / u) = L(x,y,z / T(u,z)). [para(4055(a,2),13048(a,1,3))]. given #11925 (H,wt=17): 13050 L(x,y,T(z,z \ u) / u) = L(x,y,u \ z). [hyper(240,a,13016,a(flip),b,13049,a)]. given #11926 (H,wt=22): 13042 L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(v6,u)). [para(10979(a,1),13030(a,1,3,2)),flip(a)]. given #11927 (H,wt=23): 13039 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13037(a,1),7680(a,1,1,2))]. given #11928 (H,wt=19): 13052 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7911,a,13039,a),flip(a)]. given #11929 (H,wt=19): 13053 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(240,a,8403,a(flip),b,13052,a(flip)),flip(a)]. given #11930 (H,wt=19): 13054 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9376,a,13053,a)]. given #11931 (H,wt=23): 13040 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13038(a,1),6354(a,1,1))]. given #11932 (H,wt=21): 13055 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(240,a,6354,a(flip),b,13040,a(flip))]. given #11933 (H,wt=24): 13029 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13027(a,1),11720(a,1,1))]. given #11934 (H,wt=24): 13056 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(240,a,13038,a(flip),b,13029,a)]. given #11935 (H,wt=19): 13058 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),13056(a,2,2,2))]. given #11936 (H,wt=19): 13059 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12610,a,13058,a)]. given #11937 (H,wt=28): 13012 L(x,y,L(z \ u,z,w / u) * ((w / u) * z)) = L(x,y,T(w,(w / u) * z)). [para(459(a,2),13008(a,1,3,1))]. given #11938 (H,wt=29): 13006 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(z / ((u \ w) \ w),z)). [para(638(a,1),12995(a,1,3,2)),flip(a)]. given #11939 (H,wt=29): 13051 L(x,y,(z * (u / z)) \ z) = L(x,y,T(u / (u / z),(u / (u / z)) \ u) / u). [para(10188(a,2),13050(a,2,3)),flip(a)]. given #11940 (H,wt=17): 13061 L(x,y,(z * (u / z)) \ z) = L(x,y,z / u). [para(283(a,1),13051(a,2,3,1))]. given #11941 (H,wt=17): 13062 L(x,y,z / (u * z)) = L(x,y,(z * u) \ z). [para(15(a,1),13061(a,1,3,1,2)),flip(a)]. given #11942 (H,wt=18): 13063 L(x,y,(x * y) \ x) \ x = (x / (y * x)) * y. [para(13062(a,1),6698(a,1,1))]. given #11943 (H,wt=29): 13060 L(x,y,K(((z \ u) \ u) \ w,w)) = L(x,y,K(w / ((z \ u) \ u),T(z,z \ u))). [para(6035(a,1),13006(a,2,3)),flip(a)]. given #11944 (H,wt=29): 13064 L(x,y,K(z \ ((u \ z) * w),w)) = L(x,y,K(w / ((u \ z) \ z),T(u,u \ z))). [para(10780(a,1),13060(a,1,3))]. given #11945 (H,wt=27): 13065 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(w \ (u \ w),z)). [hyper(240,a,13010,a(flip),b,13064,a(flip))]. given #11946 (H,wt=30): 12547 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12541(a,1),443(a,1,2,1)),flip(a)]. given #11947 (H,wt=30): 12640 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12637(a,1),124(a,1,1)),flip(a)]. given #11948 (H,wt=26): 13067 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(240,a,3925,a(flip),b,12640,a)]. given #11949 (H,wt=26): 13068 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(6964(a,2),13067(a,2,1))]. given #11950 (H,wt=30): 12793 K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. [para(10259(a,1),12792(a,1,1,2,1))]. given #11951 (H,wt=30): 13066 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12539(a,1),12547(a,2,1))]. given #11952 (H,wt=30): 13069 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(240,a,12544,a(flip),b,13066,a)]. given #11953 (H,wt=25): 13070 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),13069(a,2,2))]. given #11954 (H,wt=19): 13071 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12541(a,1),13070(a,1,2))]. given #11955 (H,wt=31): 12559 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12539(a,1),24(a,2,1)),flip(a)]. given #11956 (H,wt=31): 12583 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(240,a,11511,a(flip),b,12557,a(flip)),flip(a)]. given #11957 (H,wt=30): 13074 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4931(a,1),12583(a,2,2))]. given #11958 (H,wt=25): 13075 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9647,a,13074,a)]. given #11959 (H,wt=22): 13076 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12655(a,1),13075(a,1,1))]. given #11960 (H,wt=22): 13077 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(240,a,12662,a(flip),b,13076,a)]. given #11961 (H,wt=17): 13079 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),13077(a,2,2))]. given #11962 (H,wt=12): 13080 a(x,L(y,z,u),x) = a(x,y,x). [hyper(240,a,12655,a(flip),b,13079,a(flip))]. given #11963 (H,wt=14): 13083 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13080(a,1),9631(a,1,2)),flip(a)]. given #11964 (H,wt=12): 13085 R(x,L(y,z,u),x) = R(x,y,x). [hyper(240,a,9631,a(flip),b,13083,a)]. given #11965 (H,wt=14): 13084 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13080(a,1),10894(a,1,1)),flip(a)]. given #11966 (H,wt=12): 13087 L(x,L(y,z,u),x) = L(x,y,x). [hyper(240,a,10894,a(flip),b,13084,a)]. given #11967 (H,wt=17): 13082 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(235(a,1),13080(a,1,2))]. given #11968 (H,wt=17): 13088 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1773(a,2),13087(a,1,2)),flip(a)]. given #11969 (H,wt=31): 12771 K(x,T(y \ ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y \ T(u,z),x))) / w). [para(12763(a,1),8737(a,1,2,1,2,2)),flip(a)]. given #11970 (H,wt=24): 13089 K(x,T(y \ ((z \ u) * z),w)) != v5 | K(x,T(y \ T(u,z),w)) = v5. [para(12771(a,2),8738(a,1))]. given #11971 (H,wt=31): 12868 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(12862(a,1),24(a,2,1,2)),flip(a)]. given #11972 (H,wt=31): 13073 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12539(a,1),12559(a,1,2,1))]. given #11973 (H,wt=31): 13090 (x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),w). [para(12871(a,1),12868(a,1,2))]. given #11974 (H,wt=19): 13092 a(x,y * a(z,u,z),w) = a(x,y,a(z,u,z) * w). [hyper(669,a,13090,a),flip(a)]. given #11975 (H,wt=22): 13093 a(x,y * a(z,u,z),w) != v5 | a(x,y,a(z,u,z) * w) = v5. [para(13090(a,1),669(a,1))]. given #11976 (H,wt=31): 13091 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12539(a,1),13073(a,1,2))]. given #11977 (H,wt=24): 13095 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(774,a,13091,a)]. given #11978 (H,wt=14): 13096 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12553,a,13095,a)]. given #11979 (H,wt=14): 13098 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),13096(a,1,1)),flip(a)]. given #11980 (H,wt=15): 13099 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9621(a,1),13096(a,1,1))]. given #11981 (H,wt=15): 13100 a(T(x * y,x),z,u) = a(y * x,z,u). [para(12103(a,1),13096(a,1,1))]. given #11982 (H,wt=15): 13102 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9622(a,1),13098(a,1,1))]. given #11983 (H,wt=17): 13103 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(12118(a,1),13098(a,1,1))]. given #11984 (H,wt=17): 13105 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(4995(a,1),13102(a,1,1)),flip(a)]. given #11985 (H,wt=15): 13106 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(240,a,13099,a(flip),b,13105,a)]. given #11986 (H,wt=15): 13107 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(6201(a,1),13106(a,1,1)),flip(a)]. given #11987 (H,wt=15): 13108 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(240,a,13103,a,b,13107,a(flip)),flip(a)]. given #11988 (H,wt=15): 13109 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3022(a,1),13108(a,1,1)),flip(a)]. given #11989 (H,wt=10): 13112 a(K(x,y),x \ 1,z) = 1. [hyper(240,a,5387,a(flip),b,13109,a(flip))]. given #11990 (H,wt=19): 13104 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(240,a,12981,a,b,13102,a(flip)),flip(a)]. given #11991 (H,wt=21): 13111 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(240,a,12289,a,b,13109,a(flip)),flip(a)]. given #11992 (H,wt=21): 13113 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12600(a,1),13109(a,2,1))]. given #11993 (H,wt=23): 13101 a(K(x,x \ y) * ((x * y) \ z),u,w) = a((y * x) \ z,u,w). [para(12575(a,1),13096(a,1,1))]. given #11994 (H,wt=21): 13117 a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). [para(12922(a,1),13101(a,1,1))]. given #11995 (H,wt=27): 13110 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10372(a,2),13108(a,2,1)),flip(a)]. given #11996 (H,wt=25): 13118 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6465(a,1),13110(a,2,1))]. given #11997 (H,wt=23): 13119 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(240,a,13108,a(flip),b,13118,a)]. given #11998 (H,wt=21): 13120 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10372(a,1),13119(a,1,1))]. given #11999 (H,wt=21): 13121 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12600(a,1),13120(a,2,1))]. given #12000 (H,wt=27): 13116 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(240,a,12346,a,b,13113,a(flip)),flip(a)]. given #12001 (H,wt=19): 13122 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13111(a,1),13116(a,1,1)),flip(a)]. given #12002 (H,wt=25): 13123 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(240,a,12986,a(flip),b,13122,a)]. given #12003 (H,wt=23): 13124 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(240,a,13121,a(flip),b,13123,a(flip)),flip(a)]. given #12004 (H,wt=29): 13114 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(240,a,5572,a,b,13104,a(flip)),flip(a)]. given #12005 (H,wt=31): 13094 (x * (a(y,z,y) * (u * w))) \ ((x * u) * (a(y,z,y) * w)) = a(x,u * a(y,z,y),w). [para(12866(a,2),13090(a,1,1,2))]. given #12006 (H,wt=31): 13125 (x * (y * z)) \ (a(u,w,u) \ ((x * y) * (a(u,w,u) * z))) = a(x,y * a(u,w,u),z). [hyper(12884,a,13094,a)]. given #12007 (H,wt=21): 13126 a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). [para(12867(a,1),13125(a,1,2)),flip(a)]. given #12008 (H,wt=14): 13127 a(x,y * a(z,u,z),w) = a(x,y,w). [hyper(240,a,24,a,b,13126,a)]. given #12009 (H,wt=12): 13130 a(x,R(y,z,y),u) = a(x,y,u). [para(9631(a,1),13127(a,1,2))]. given #12010 (H,wt=12): 13131 a(x,L(y,z,y),u) = a(x,y,u). [para(10892(a,1),13127(a,1,2)),flip(a)]. given #12011 (H,wt=14): 13129 a(x,y,a(z,u,z) * w) = a(x,y,w). [hyper(13093,a,13127,a)]. given #12012 (H,wt=15): 13132 a(x,T(y * z,y),u) = a(x,z * y,u). [para(11559(a,1),13127(a,1,2))]. given #12013 (H,wt=15): 13137 a(x,(y \ z) * y,u) = a(x,T(z,y),u). [para(14(a,1),13132(a,1,2,1)),flip(a)]. given #12014 (H,wt=16): 13135 a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). [para(12105(a,1),13129(a,1,3))]. given #12015 (H,wt=16): 13136 a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). [para(12133(a,1),13129(a,1,3)),flip(a)]. given #12016 (H,wt=19): 13138 a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). [para(4535(a,2),13137(a,1,2))]. given #12017 (H,wt=32): 12671 ((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(12659(a,1),475(a,1,1))]. given #12018 (H,wt=32): 13086 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(13085(a,1),12381(a,1,2,1))]. given #12019 (H,wt=29): 13140 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(13085(a,1),13086(a,1,2,2,1))]. given #12020 (H,wt=29): 13142 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(4192(a,2),13140(a,1,2))]. given #12021 (H,wt=28): 13144 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4171(a,1),13142(a,1,2,2))]. given #12022 (H,wt=26): 13145 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(10260(a,1),13144(a,1,2))]. given #12023 (H,wt=21): 13146 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(741(a,1),13145(a,1,2)),flip(a)]. given #12024 (H,wt=19): 13147 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(240,a,4327,a(flip),b,13146,a(flip)),flip(a)]. given #12025 (H,wt=26): 13148 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(73,a,13147,a(flip),b,4800,a(flip))]. given #12026 (H,wt=21): 13150 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9619,a,13148,a),flip(a)]. given #12027 (H,wt=17): 13151 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(240,a,11294,a(flip),b,13150,a)]. given #12028 (H,wt=22): 13152 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13151(a,1,1))]. given #12029 (H,wt=22): 13153 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(240,a,6707,a(flip),b,13152,a(flip)),flip(a)]. given #12030 (H,wt=19): 13154 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11040(a,1),13153(a,2,3))]. given #12031 (H,wt=17): 13155 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(240,a,11421,a(flip),b,13154,a)]. given #12032 (H,wt=11): 13158 L(x,y,a(z,u,K(y,w))) = x. [para(13155(a,1),3871(a,1,3))]. given #12033 (H,wt=17): 13157 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(240,a,11048,a(flip),b,13155,a(flip)),flip(a)]. given #12034 (H,wt=21): 13160 (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). [para(13158(a,1),106(a,1,2))]. given #12035 (H,wt=24): 13162 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13157(a,1,2))]. given #12036 (H,wt=24): 13163 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6244,a,13162,a)]. given #12037 (H,wt=24): 13164 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(11054,a,13163,a)]. given #12038 (H,wt=21): 13165 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11483(a,1),13164(a,2,3))]. given #12039 (H,wt=17): 13166 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),13165(a,2,3,1))]. given #12040 (H,wt=21): 13169 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13166(a,1),5184(a,1,2,1)),flip(a)]. given #12041 (H,wt=17): 13170 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(240,a,10946,a(flip),b,13169,a)]. given #12042 (H,wt=19): 13171 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13170(a,1),4800(a,2,2))]. given #12043 (H,wt=21): 13172 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13170(a,1),11430(a,1,3)),flip(a)]. given #12044 (H,wt=21): 13173 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(240,a,11437,a,b,13172,a(flip)),flip(a)]. given #12045 (H,wt=23): 13175 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(240,a,11426,a,b,13173,a(flip)),flip(a)]. given #12046 (H,wt=25): 13177 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(8783(a,2),13175(a,1,3))]. given #12047 (H,wt=26): 13149 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(13147(a,2),517(a,1))]. given #12048 (H,wt=27): 13159 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(13155(a,1),11435(a,1,3)),flip(a)]. given #12049 (H,wt=27): 13161 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(240,a,5572,a,b,13157,a(flip)),flip(a)]. given #12050 (H,wt=25): 13178 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13088(a,1),13161(a,1,2))]. given #12051 (H,wt=25): 13179 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5623,a,13178,a)]. given #12052 (H,wt=23): 13180 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(240,a,7382,a(flip),b,13179,a(flip)),flip(a)]. given #12053 (H,wt=27): 13176 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13173(a,1),10851(a,1,2))]. given #12054 (H,wt=17): 13181 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11088(a,1),13176(a,1,2)),flip(a)]. given #12055 (H,wt=15): 13182 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(240,a,12,a(flip),b,13181,a)]. given #12056 (H,wt=29): 13184 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(13182(a,1),11099(a,1,2,2)),flip(a)]. given #12057 (H,wt=15): 13185 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(240,a,11099,a(flip),b,13184,a)]. given #12058 (H,wt=17): 13186 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13185(a,1),4800(a,2,2))]. given #12059 (H,wt=15): 13187 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(240,a,4800,a,b,13186,a)]. given #12060 (H,wt=21): 13188 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13187(a,1),13180(a,1,2,1))]. given #12061 (H,wt=15): 13189 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5017,a,13188,a)]. given #12062 (H,wt=32): 13115 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(240,a,5994,a(flip),b,13104,a(flip)),flip(a)]. given #12063 (H,wt=32): 13139 ((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(12659(a,1),12671(a,1,2))]. given #12064 (H,wt=22): 13190 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [hyper(483,a,13139,a),flip(a)]. given #12065 (H,wt=14): 13191 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(12676,a,13190,a)]. given #12066 (H,wt=15): 13193 R(x,y,z * K(u,u \ 1)) = R(x,y,z). [para(9656(a,1),13191(a,1,3,2))]. given #12067 (H,wt=32): 13174 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(13172(a,1),11619(a,1,1))]. given #12068 (H,wt=22): 13194 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(11089(a,1),13174(a,1,1))]. given #12069 (H,wt=20): 13195 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(77,a,13194,a)]. given #12070 (H,wt=17): 13197 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(240,a,6309,a(flip),b,13195,a(flip)),flip(a)]. given #12071 (H,wt=10): 13199 K(x,a(y,z,x) \ 1) = 1. [hyper(240,a,5096,a(flip),b,13197,a)]. given #12072 (H,wt=12): 13201 K(x,y \ L(y,y \ 1,z)) = 1. [hyper(240,a,9885,a(flip),b,13197,a(flip))]. given #12073 (H,wt=12): 13206 T(x,y \ L(y,y \ 1,z)) = x. [hyper(37,a,13201,a)]. given #12074 (H,wt=15): 13205 T(a(x,y,z) \ 1,z) = a(x,y,z) \ 1. [para(13199(a,1),4849(a,1,1,2))]. given #12075 (H,wt=19): 13200 K(x,y \ L(y,z,u)) = 1 \ K(x,a(u,z,y) \ 1). [hyper(73,a,13197,a,b,11,a),flip(a)]. given #12076 (H,wt=19): 13202 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13197(a,1),4800(a,2,2)),flip(a)]. given #12077 (H,wt=17): 13209 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4803,a,13202,a),flip(a)]. given #12078 (H,wt=20): 13208 K(x,y \ L(y,z,u)) != w | K(x,a(u,z,y) \ 1) = w. [para(13200(a,2),159(a,1)),flip(b)]. given #12079 (H,wt=22): 13204 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(13197(a,1),7958(a,1,2))]. given #12080 (H,wt=23): 13212 K(x,L(y \ L(y,z,u),y,w)) != v5 | K(x,a(u,z,y) \ 1) = v5. [para(13195(a,2),13208(a,1))]. given #12081 (H,wt=24): 13207 x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. [para(13206(a,1),387(a,1))]. given #12082 (H,wt=24): 13211 K(x,y * L(y \ 1,z,u)) != w | K(x,a(u,z,y \ 1) \ 1) = w. [para(4631(a,1),13208(a,1,2))]. given #12083 (H,wt=27): 13210 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13209(a,2),590(a,1,1))]. given #12084 (H,wt=25): 13214 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(240,a,13171,a(flip),b,13210,a)]. given #12085 (H,wt=33): 12788 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(9467(a,1),12786(a,1,2,1))]. given #12086 (H,wt=34): 12638 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(12613(a,1),12331(a,1,1,1))]. given #12087 (H,wt=27): 13215 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(345(a,1),12638(a,1,1)),flip(a)]. given #12088 (H,wt=27): 13216 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(240,a,8777,a(flip),b,13215,a)]. given #12089 (H,wt=27): 13217 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7451(a,1),13216(a,1,2,1,1))]. given #12090 (H,wt=27): 13218 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8715(a,1),13217(a,1,2,1))]. given #12091 (H,wt=25): 13219 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4809(a,2),13218(a,1,2))]. given #12092 (H,wt=25): 13220 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(240,a,8958,a,b,13219,a(flip)),flip(a)]. given #12093 (H,wt=23): 13221 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7494(a,1),13220(a,1,1))]. given #12094 (H,wt=23): 13222 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12153,a,13221,a)]. given #12095 (H,wt=19): 13223 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(240,a,12294,a(flip),b,13222,a(flip))]. given #12096 (H,wt=17): 13224 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4800,a(flip),b,13223,a)]. given #12097 (H,wt=21): 13225 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(240,a,12613,a,b,13224,a(flip)),flip(a)]. given #12098 (H,wt=19): 13226 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(13225(a,1),12305(a,1,2))]. given #12099 (H,wt=17): 13227 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(77,a,13226,a),flip(a)]. given #12100 (H,wt=17): 13228 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(240,a,13224,a,b,13227,a)]. given #12101 (H,wt=17): 13229 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7487(a,1),13227(a,1,1))]. given #12102 (H,wt=17): 13230 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7487(a,1),13228(a,1,1))]. given #12103 (H,wt=19): 13231 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12612(a,2),13228(a,2,1)),flip(a)]. given #12104 (H,wt=19): 13232 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(240,a,13230,a,b,13231,a(flip)),flip(a)]. given #12105 (H,wt=35): 12797 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(5379(a,1),12779(a,1,2))]. given #12106 (H,wt=33): 13233 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(T(z / u,z) \ y,u \ z) * w). [para(6967(a,1),12797(a,1,2,1)),flip(a)]. given #12107 (H,wt=31): 13234 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K((u \ z) \ y,u \ z) * w). [para(12751(a,1),13233(a,2,2,1))]. given #12108 (H,wt=31): 13235 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(z \ (u * y),u \ z) * w). [para(10029(a,1),13234(a,2,2,1))]. given #12109 (H,wt=35): 13072 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(13071(a,2),12400(a,1,1,2))]. given #12110 (H,wt=21): 13236 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),13072(a,1,1,2,1)),flip(a)]. given #12111 (H,wt=28): 13237 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13236(a,1),13115(a,1,1))]. given #12112 (H,wt=24): 13238 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),13237(a,1,2))]. given #12113 (H,wt=17): 13239 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4822,a,13238,a),flip(a)]. given #12114 (H,wt=21): 13241 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13239(a,1),13229(a,2,2))]. given #12115 (H,wt=19): 13242 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(240,a,13232,a(flip),b,13241,a(flip))]. given #12116 (H,wt=21): 13243 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(240,a,8940,a,b,13242,a(flip)),flip(a)]. given #12117 (H,wt=21): 13244 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7491(a,2),13243(a,2,1))]. given #12118 (H,wt=19): 13245 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9073,a,13244,a)]. given #12119 (H,wt=26): 13246 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(240,a,9499,a(flip),b,13245,a(flip)),flip(a)]. given #12120 (H,wt=26): 13247 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7507(a,1),13246(a,2,1))]. given #12121 (H,wt=23): 13248 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8720(a,1),13247(a,2,1))]. given #12122 (H,wt=22): 13249 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9544,a,13248,a)]. given #12123 (H,wt=23): 13252 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(240,a,9956,a(flip),b,13249,a(flip)),flip(a)]. given #12124 (H,wt=36): 12830 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(8762(a,1),12829(a,2,1,2,2))]. given #12125 (H,wt=36): 12948 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12947(a,2),8494(a,1,1,2,2))]. given #12126 (H,wt=26): 13254 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12948(a,1,1,2,2,1)),flip(a)]. given #12127 (H,wt=20): 13255 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(240,a,7135,a(flip),b,13254,a)]. given #12128 (H,wt=18): 13258 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(10909(a,1),13255(a,1,2,1)),flip(a)]. given #12129 (H,wt=21): 13257 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9650(a,1),13255(a,1,2,1,2))]. given #12130 (H,wt=21): 13259 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(11559(a,1),13255(a,1,2,1,2))]. given #12131 (H,wt=21): 13260 K(x,(((y \ z) \ z) * u) \ w) = K(x,(T(y,z) * u) \ w). [para(11841(a,1),13258(a,1,2,1,1)),flip(a)]. given #12132 (H,wt=36): 12964 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(4706(a,1),12962(a,1,2,2)),flip(a)]. given #12133 (H,wt=34): 13261 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(11058,a,12964,a)]. given #12134 (H,wt=34): 13262 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(240,a,13082,a(flip),b,13261,a(flip)),flip(a)]. given #12135 (H,wt=29): 13263 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),13262(a,1,2,2))]. given #12136 (H,wt=29): 13264 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4623(a,1),13263(a,1,2))]. given #12137 (H,wt=23): 13265 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(240,a,4713,a(flip),b,13264,a(flip)),flip(a)]. given #12138 (H,wt=23): 13266 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(240,a,12662,a(flip),b,13265,a),flip(a)]. given #12139 (H,wt=19): 13268 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(155(a,1),13266(a,1,2,2))]. given #12140 (H,wt=38): 12644 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(6684(a,2),12643(a,2,2))]. given #12141 (H,wt=33): 13270 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),12644(a,1,2,2,2)),flip(a)]. given #12142 (H,wt=38): 12925 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * ((1 / y) \ 1)) \ x)). [para(12923(a,1),11838(a,2,2))]. given #12143 (H,wt=34): 13271 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * y) \ x)). [para(65(a,1),12925(a,2,2,2,2,1,2))]. given #12144 (H,wt=30): 13272 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(3020(a,1),13271(a,2,2))]. given #12145 (H,wt=41): 12558 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (L(u,z,a(x,y,x)) * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [hyper(73,a,12539,a(flip),b,453,a)]. given #12146 (H,wt=35): 13273 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12541(a,1),12558(a,1,2,2,2,1))]. given #12147 (H,wt=35): 13274 a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [hyper(12900,a,13273,a)]. given #12148 (H,wt=35): 13275 a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12543(a,1),13274(a,1,2))]. given #12149 (H,wt=35): 13276 a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12883(a,1),13275(a,1,2,2))]. given #12150 (H,wt=35): 13277 a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12883(a,1),13276(a,1,2,2,2))]. given #12151 (H,wt=30): 13278 L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = a(u,w,u) * L(a(u,w,u) \ x,y,z). [para(28(a,2),13277(a,1,2)),flip(a)]. given #12152 (H,wt=24): 13279 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,a(x,y,x) * w). [para(12541(a,1),13278(a,1,2)),flip(a)]. given #12153 (H,wt=19): 13280 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). [hyper(240,a,12991,a(flip),b,13279,a)]. given #12154 (H,wt=19): 13281 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(835,a,13280,a),flip(a)]. given #12155 (H,wt=26): 13283 L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). [para(454(a,1),13281(a,2,1))]. given #12156 (H,wt=42): 12635 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(12629(a,2),672(a,1,2,2)),flip(a)]. given #12157 (H,wt=44): 12633 (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(240,a,12404,a(flip),b,12632,a(flip))]. given #12158 (H,wt=40): 13284 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(9493(a,1),12633(a,1,2,2)),flip(a)]. given #12159 (H,wt=40): 13285 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(7507(a,1),13284(a,2,2))]. given #12160 (H,wt=45): 12649 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(12648(a,1),11756(a,1,2)),flip(a)]. given #12161 (H,wt=45): 13287 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(240,a,6405,a(flip),b,12649,a)]. given #12162 (H,wt=43): 13288 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(8672(a,1),13287(a,2,1,2))]. given #12163 (H,wt=43): 13289 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(6881(a,1),13288(a,2,1))]. given #12164 (H,wt=41): 13290 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(3023(a,1),13289(a,2,1,1))]. given #12165 (H,wt=39): 13291 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(7179(a,1),13290(a,2,2))]. given #12166 (H,wt=46): 12641 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12637(a,1),4971(a,1,2,2)),flip(a)]. given #12167 (H,wt=35): 13292 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(142(a,1),12641(a,2,2))]. given #12168 (H,wt=31): 13293 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(240,a,4794,a,b,13292,a)]. given #12169 (H,wt=31): 13295 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(240,a,7491,a,b,13293,a)]. given #12170 (H,wt=26): 13296 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13068(a,1),13295(a,1,2))]. given #12171 (H,wt=26): 13297 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8462,a,13296,a)]. given #12172 (H,wt=26): 13298 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7489,a,13297,a)]. given #12173 (H,wt=22): 13299 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(240,a,7151,a(flip),b,13298,a(flip)),flip(a)]. given #12174 (H,wt=18): 13301 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4958(a,1),13299(a,1,2))]. given #12175 (H,wt=37): 13302 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(13301(a,1),13285(a,2,2))]. given #12176 (H,wt=37): 13303 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(7487(a,1),13302(a,2,2))]. given #12177 (H,wt=37): 13304 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(8418(a,1),13303(a,1,1))]. given #12178 (H,wt=37): 13305 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(240,a,9957,a,b,13304,a(flip)),flip(a)]. given #12179 (H,wt=30): 13306 (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(11789(a,1),13305(a,1,1)),flip(a)]. given #12180 (H,wt=37): 13307 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(13306(a,1),517(a,1))]. given #12181 (H,wt=46): 12667 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(12661(a,1),12119(a,1,1))]. given #12182 (H,wt=46): 12935 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(11728(a,1),12933(a,1,1,1))]. given #12183 (H,wt=44): 13310 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(5486(a,1),12935(a,1,1))]. given #12184 (H,wt=36): 13311 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),13310(a,1,2,2,1,2))]. given #12185 (H,wt=34): 13313 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8677(a,1),13311(a,1,2))]. given #12186 (H,wt=34): 13314 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13054(a,1),13313(a,1,2))]. given #12187 (H,wt=30): 13315 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7589(a,1),13314(a,1,2)),flip(a)]. given #12188 (H,wt=26): 13316 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. [para(13315(a,2),5508(a,1))]. given #12189 (H,wt=13): 13317 L(x,y / z,x) = L(x,z \ y,x). [hyper(13316,a,12939,a)]. given #12190 (H,wt=13): 13319 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),13317(a,1,2)),flip(a)]. given #12191 (H,wt=13): 13324 L(x,y * K(z,y),x) = L(x,y,x). [para(5591(a,1),13319(a,1,2)),flip(a)]. given #12192 (H,wt=16): 13318 L(x,y \ z,x) != u | L(x,z / y,x) = u. [para(12939(a,1),13316(a,1))]. given #12193 (H,wt=19): 13326 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5448(a,1),13324(a,1,2))]. given #12194 (H,wt=24): 13321 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4922(a,2),13317(a,1,2))]. given #12195 (H,wt=20): 13328 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(240,a,13326,a(flip),b,13321,a(flip))]. given #12196 (H,wt=16): 13329 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(12969,a,13328,a),flip(a)]. given #12197 (H,wt=12): 13331 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),13329(a,2,2))]. given #12198 (H,wt=29): 13320 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3660(a,2),13317(a,1,2))]. given #12199 (H,wt=22): 13332 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),13320(a,2,2))]. given #12200 (H,wt=17): 13333 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(240,a,13331,a(flip),b,13332,a(flip)),flip(a)]. given #12201 (H,wt=27): 13335 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13333(a,1),13114(a,1,2))]. given #12202 (H,wt=27): 13336 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5623,a,13335,a)]. given #12203 (H,wt=27): 13337 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13239(a,2),13336(a,1,1))]. given #12204 (H,wt=25): 13338 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12877,a,13337,a)]. given #12205 (H,wt=9): 13339 a(x,a(y,z,u),x) = 1. [hyper(74,a,13338,a,b,14,a),flip(a)]. given #12206 (H,wt=9): 13340 L(x,a(y,z,u),x) = x. [hyper(33,a,13339,a)]. given #12207 (H,wt=15): 13342 T(x / a(y,z,u),x) = a(y,z,u) \ x. [hyper(10212,a,13340,a)]. given #12208 (H,wt=17): 13343 (x * (a(y,z,u) * x)) / x = x * a(y,z,u). [para(13340(a,1),142(a,1,2))]. given #12209 (H,wt=18): 13344 T(x,a(y,z,u)) != w | T(x,x * a(y,z,u)) = w. [para(13340(a,1),597(a,1,1))]. given #12210 (H,wt=20): 13345 a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). [hyper(240,a,8333,a(flip),b,13342,a(flip))]. given #12211 (H,wt=39): 13346 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(2514(a,1),13342(a,1,1))]. given #12212 (H,wt=39): 13347 x \ (((a(y,z,u) \ x) * (a(y,z,u) * (a(y,z,u) \ x))) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). [hyper(73,a,13343,a,b,263,a)]. given #12213 (H,wt=29): 13349 x \ (((a(y,z,u) \ x) * x) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). [para(14(a,1),13347(a,1,2,1,2))]. given #12214 (H,wt=23): 13351 K(a(x,y,z) \ u,a(x,y,z)) != w | K(a(x,y,z) \ u,u) = w. [para(13349(a,1),4918(a,1))]. given #12215 (H,wt=39): 13348 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(12465(a,1),13346(a,1,1,2))]. given #12216 (H,wt=46): 13308 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(9841(a,1),12667(a,1,1))]. given #12217 (H,wt=42): 13352 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(12483(a,1),13308(a,1,1))]. given #12218 (H,wt=38): 13353 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),13352(a,1,1,1))]. given #12219 (H,wt=34): 13354 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),13353(a,1,1,3)),flip(a)]. given #12220 (H,wt=32): 13355 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6113(a,1),13354(a,2,2))]. given #12221 (H,wt=28): 13356 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),13355(a,2,2,2))]. given #12222 (H,wt=26): 13357 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4978(a,1),13356(a,2,2))]. given #12223 (H,wt=23): 13358 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(240,a,12107,a(flip),b,13357,a)]. given #12224 (H,wt=21): 13359 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6170,a,13358,a)]. given #12225 (H,wt=17): 13360 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),13359(a,1,2))]. given #12226 (H,wt=17): 13361 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(5428,a,13360,a)]. given #12227 (H,wt=15): 13362 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9315,a,13361,a)]. given #12228 (H,wt=15): 13363 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),13362(a,2,1))]. given #12229 (H,wt=17): 13364 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(240,a,9837,a(flip),b,13363,a(flip))]. given #12230 (H,wt=17): 13366 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(240,a,5266,a(flip),b,13364,a(flip)),flip(a)]. given #12231 (H,wt=15): 13367 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(240,a,10475,a(flip),b,13366,a(flip)),flip(a)]. given #12232 (H,wt=15): 13369 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(240,a,9612,a(flip),b,13367,a(flip)),flip(a)]. given #12233 (H,wt=19): 13370 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),13367(a,1,1,2,1)),flip(a)]. given #12234 (H,wt=19): 13372 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(240,a,9025,a,b,13370,a)]. given #12235 (H,wt=21): 13373 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13372(a,1),263(a,1,2))]. given #12236 (H,wt=23): 13374 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(240,a,10447,a,b,13373,a(flip)),flip(a)]. given #12237 (H,wt=35): 13371 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(13369(a,1),12448(a,1,1,1,2))]. given #12238 (H,wt=33): 13375 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(263(a,1),13371(a,1,1,1))]. given #12239 (H,wt=33): 13377 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8094(a,1),13375(a,1,1))]. given #12240 (H,wt=31): 13378 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(121(a,1),13377(a,1,2,2,2))]. given #12241 (H,wt=31): 13379 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8878(a,1),13378(a,1,2))]. given #12242 (H,wt=29): 13380 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2927(a,1),13379(a,1,2))]. given #12243 (H,wt=21): 13381 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(10638,a,13380,a)]. given #12244 (H,wt=19): 13382 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(240,a,11115,a(flip),b,13381,a(flip)),flip(a)]. given #12245 (H,wt=15): 13383 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(154(a,1),13382(a,1,2)),flip(a)]. given #12246 (H,wt=15): 13385 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(240,a,9614,a,b,13383,a(flip)),flip(a)]. given #12247 (H,wt=16): 13384 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(240,a,10668,a,b,13383,a(flip)),flip(a)]. given #12248 (H,wt=15): 13389 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(240,a,10664,a(flip),b,13384,a(flip)),flip(a)]. given #12249 (H,wt=17): 13387 x * K(y,x * ((z * y) \ z)) = y * (x / y). [para(13385(a,2),4976(a,1,2))]. given #12250 (H,wt=19): 13391 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(240,a,9942,a(flip),b,13389,a(flip))]. given #12251 (H,wt=19): 13392 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(16(a,1),13389(a,1,2,2,2)),flip(a)]. given #12252 (H,wt=21): 13394 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13391(a,1),4976(a,1,2))]. given #12253 (H,wt=23): 13395 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(240,a,9042,a,b,13394,a(flip)),flip(a)]. given #12254 (H,wt=24): 13393 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = y * (z / y). [hyper(240,a,13272,a,b,13387,a(flip)),flip(a)]. given #12255 (H,wt=48): 13397 (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(628(a,2),13393(a,1,1,2,1))]. given #12256 (H,wt=46): 13398 (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(3345(a,1),13397(a,1,1,2))]. given #12257 (H,wt=42): 13399 (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(542,a,13398,a)]. given #12258 (H,wt=42): 13401 (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(3478(a,1),13399(a,1,2,2,1,1))]. given #12259 (H,wt=33): 13402 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / ((1 / (y / (x * y))) \ 1)). [para(3498(a,1),13401(a,1,2,2,1)),flip(a)]. given #12260 (H,wt=29): 13403 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / (y / (x * y))). [para(65(a,1),13402(a,2,2,2))]. given #12261 (H,wt=57): 12449 (((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(5571(a,1),8942(a,1,1,1))]. given #12262 (H,wt=58): 13269 (((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(13268(a,1),11570(a,1,1,2))]. given #12263 (H,wt=56): 13405 (((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(1788(a,1),13269(a,2,1))]. given #12264 (H,wt=38): 13406 (((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(240,a,12669,a(flip),b,13405,a)]. given #12265 (H,wt=36): 13408 ((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(11556(a,1),13406(a,1,1))]. given #12266 (H,wt=25): 13409 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(240,a,11565,a(flip),b,13408,a(flip)),flip(a)]. given #12267 (H,wt=17): 13410 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(240,a,13214,a(flip),b,13409,a(flip))]. given #12268 (H,wt=15): 13411 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4858,a,13410,a)]. given #12269 (H,wt=17): 13412 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13410(a,2),11766(a,1,1))]. given #12270 (H,wt=17): 13415 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(421,a,13412,a)]. given #12271 (H,wt=21): 13413 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13410(a,2),11768(a,1,1))]. given #12272 (H,wt=21): 13417 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(421,a,13413,a)]. given #12273 (H,wt=35): 13416 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(4577(a,1),13415(a,1,1))]. given #12274 (H,wt=35): 13418 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(4704(a,1),13416(a,1,2,1))]. given #12275 (H,wt=25): 13419 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(240,a,13415,a(flip),b,13418,a(flip))]. given #12276 (H,wt=42): 13414 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(13411(a,1),10810(a,1,2,2,2))]. given #12277 (H,wt=62): 11056 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(11052(a,1),5720(a,1,2,2,1,2))]. given #12278 (H,wt=52): 13420 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(4392(a,1),11056(a,1,2,1)),flip(a)]. given #12279 (H,wt=52): 13421 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(2864(a,1),13420(a,2,2,2))]. given #12280 (H,wt=46): 13423 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(12032(a,1),13421(a,2,2))]. given #12281 (H,wt=46): 13424 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(240,a,5183,a(flip),b,13423,a)]. given #12282 (H,wt=44): 13425 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(240,a,8252,a(flip),b,13424,a)]. given #12283 (H,wt=34): 13426 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(4392(a,1),13425(a,1,2,2,2))]. given #12284 (H,wt=34): 13428 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(5183(a,1),13426(a,1,2,2))]. given #12285 (H,wt=32): 13429 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(11057(a,1),13428(a,1,2,2)),flip(a)]. given #12286 (H,wt=26): 13430 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(240,a,10256,a(flip),b,13429,a)]. given #12287 (H,wt=24): 13431 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(150(a,1),13430(a,2,2))]. given #12288 (H,wt=65): 9685 (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(5808,a,9684,a)]. given #12289 (H,wt=63): 13432 (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(4626(a,1),9685(a,1,2,1,2,2,2))]. given #12290 (H,wt=61): 13433 (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(4424(a,1),13432(a,1,2,1,2,2))]. given #12291 (H,wt=61): 13434 (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(7487(a,1),13433(a,1,2,1))]. given #12292 (H,wt=59): 13435 (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(11118(a,1),13434(a,1,2,1,2))]. given #12293 (H,wt=54): 13436 (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(7077(a,1),13435(a,1,2,1,2))]. given #12294 (H,wt=52): 13438 (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(7961(a,1),13436(a,1,2,1))]. given #12295 (H,wt=50): 13439 (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(4626(a,1),13438(a,1,2,2,1,2,1,2,2))]. given #12296 (H,wt=48): 13440 (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(4424(a,1),13439(a,1,2,2,1,2,1,2))]. given #12297 (H,wt=48): 13441 (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(7451(a,1),13440(a,1,2,2,1,2))]. given #12298 (H,wt=46): 13442 (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(9704(a,1),13441(a,1,2,2,1,2,2))]. given #12299 (H,wt=41): 13443 (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(7139(a,1),13442(a,1,2,2,1,2,2))]. given #12300 (H,wt=39): 13445 (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(7953(a,1),13443(a,1,2,2,1,2))]. given #12301 (H,wt=39): 13446 (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(4788(a,1),13445(a,1,2,2,1))]. given #12302 (H,wt=39): 13447 (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(9052(a,2),13446(a,1,2))]. given #12303 (H,wt=35): 13448 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(240,a,9044,a(flip),b,13447,a(flip)),flip(a)]. given #12304 (H,wt=33): 13449 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(5876(a,1),13448(a,1,2)),flip(a)]. given #12305 (H,wt=31): 13450 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(240,a,7536,a(flip),b,13449,a)]. given #12306 (H,wt=25): 13451 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1069(a,1),13450(a,1,1)),flip(a)]. given #12307 (H,wt=29): 13452 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(240,a,11993,a,b,13451,a(flip)),flip(a)]. given #12308 (H,wt=23): 13453 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1069(a,1),13452(a,1,1))]. given #12309 (H,wt=30): 13454 (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(13453(a,1),12363(a,1,2))]. given #12310 (H,wt=23): 13455 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12364,a,13454,a),flip(a)]. given #12311 (H,wt=23): 13456 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(240,a,7491,a,b,13455,a)]. given #12312 (H,wt=23): 13457 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(240,a,11964,a(flip),b,13456,a(flip)),flip(a)]. given #12313 (H,wt=23): 13458 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(240,a,7487,a,b,13457,a)]. given #12314 (H,wt=23): 13459 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11966,a,13458,a)]. given #12315 (H,wt=31): 13460 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(240,a,13270,a,b,13459,a(flip)),flip(a)]. given #12316 (H,wt=29): 13461 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,11774,a(flip),b,13460,a)]. given #12317 (H,wt=23): 13462 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7774,a,13461,a)]. given #12318 (H,wt=23): 13464 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,7483,a,b,13462,a(flip)),flip(a)]. given #12319 (H,wt=26): 13463 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13461(a,1),7774(a,1))]. given #12320 (H,wt=39): 13465 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(240,a,12402,a,b,13464,a(flip)),flip(a)]. given #12321 (H,wt=29): 13466 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9690,a,13465,a)]. given #12322 (H,wt=23): 13467 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,13252,a(flip),b,13466,a(flip)),flip(a)]. given #12323 (H,wt=21): 13468 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8810(a,1),13467(a,1,1)),flip(a)]. given #12324 (H,wt=12): 13469 K(x,K(y * z,a(y,z,u))) = 1. [hyper(240,a,11943,a(flip),b,13468,a)]. given #12325 (H,wt=14): 13470 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13463,a,13469,a)]. given #12326 (H,wt=31): 13473 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(13470(a,1),8277(a,1,1)),flip(a)]. given #12327 (H,wt=29): 13474 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(240,a,11,a(flip),b,13473,a)]. given #12328 (H,wt=25): 13475 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(13474(a,1),8278(a,1,1)),flip(a)]. given #12329 (H,wt=19): 13476 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7026,a,13475,a)]. given #12330 (H,wt=20): 13477 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(8056,a,13476,a)]. given #12331 (H,wt=23): 13478 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(240,a,8888,a,b,13477,a(flip)),flip(a)]. given #12332 (H,wt=23): 13479 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13239(a,2),13478(a,1,1))]. given #12333 (H,wt=23): 13480 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(240,a,13122,a,b,13479,a(flip)),flip(a)]. given #12334 (H,wt=15): 13481 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(240,a,13124,a(flip),b,13480,a(flip)),flip(a)]. given #12335 (H,wt=13): 13482 a(K(x,y),z,u) = K(x,a(y,z,u)). [hyper(12620,a,13481,a)]. given #12336 (H,wt=15): 13487 K(x,a(y,z * y,u)) = K(x,a(y,z,u)). [hyper(240,a,13481,a(flip),b,13482,a(flip))]. given #12337 (H,wt=16): 13484 K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. [para(13481(a,1),12620(a,1))]. given #12338 (H,wt=19): 13486 a(K(x * K(y,x),z),u,w) = K(x,T(a(z,u,w),y)). [hyper(240,a,7629,a(flip),b,13482,a)]. given #12339 (H,wt=17): 13488 a(K(x,T(y,z)),u,w) = K(x,T(a(y,u,w),z)). [para(7629(a,1),13486(a,1,1))]. given #12340 (H,wt=23): 13485 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13481(a,1),13338(a,1,2))]. given #12341 (H,wt=17): 13489 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(9641,a,13485,a)]. given #12342 (H,wt=15): 13490 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(240,a,13481,a(flip),b,13489,a)]. given #12343 (H,wt=13): 13491 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(240,a,13189,a(flip),b,13490,a(flip)),flip(a)]. given #12344 (H,wt=13): 13492 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(240,a,13482,a,b,13491,a),flip(a)]. given #12345 (H,wt=8): 13499 a(K(x,y),z,z) = 1. [hyper(240,a,10769,a(flip),b,13492,a)]. given #12346 (H,wt=8): 13500 a(x,x,K(y,z)) = 1. [hyper(240,a,5387,a(flip),b,13492,a(flip))]. given #12347 (H,wt=10): 13498 a(K(x * y,z),x,y) = 1. [hyper(240,a,11023,a(flip),b,13492,a)]. given #12348 (H,wt=10): 13503 L(K(x,y),z,z) = K(x,y). [hyper(33,a,13500,a)]. given #12349 (H,wt=10): 13504 L(x,y,K(y * x,z)) = x. [hyper(33,a,13498,a)]. given #12350 (H,wt=10): 13508 L(x,y / x,K(y,z)) = x. [para(16(a,1),13504(a,1,3,1))]. given #12351 (H,wt=10): 13509 L(x,x \ y,K(y,z)) = x. [hyper(240,a,10131,a(flip),b,13508,a(flip)),flip(a)]. given #12352 (H,wt=11): 13501 a(K(x,y),z,z) != u | 1 = u. [para(13492(a,2),11433(a,1))]. given #12353 (H,wt=12): 13512 L(x / y,y,K(x,z)) = x / y. [para(65(a,1),13509(a,1,2))]. given #12354 (H,wt=13): 13494 K(x,a(y,z,x * z)) != u | 1 = u. [para(13491(a,1),11025(a,1))]. given #12355 (H,wt=13): 13510 K(x,y) * (x / z) = T(x,y) / z. [para(13508(a,1),4876(a,1,2)),flip(a)]. given #12356 (H,wt=13): 13511 K(x,y) \ (y / z) = T(y,x) / z. [para(13508(a,1),5735(a,1,2)),flip(a)]. given #12357 (H,wt=13): 13514 K(x,y) * (T(y,x) / z) = y / z. [hyper(5191,a,13510,a)]. given #12358 (H,wt=13): 13515 T(x,y) / (z \ x) = K(x,y) * z. [para(62(a,1),13510(a,1,2)),flip(a)]. given #12359 (H,wt=13): 13520 (K(x,y) * z) \ T(x,y) = z \ x. [para(13515(a,1),65(a,1,1))]. given #12360 (H,wt=13): 13522 (K(x,y) * z) \ y = z \ T(y,x). [para(5178(a,1),13520(a,1,1)),flip(a)]. given #12361 (H,wt=15): 13506 (x * x) * K(y,z) = x * (x * K(y,z)). [para(13503(a,1),106(a,1,2))]. given #12362 (H,wt=15): 13513 K(x,a(y,z,x * (z * y))) != u | 1 = u. [para(13487(a,1),13494(a,1))]. given #12363 (H,wt=15): 13521 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(4815(a,1),13520(a,1,1))]. given #12364 (H,wt=16): 13497 a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w. [para(13491(a,2),13484(a,1))]. given #12365 (H,wt=17): 13495 K(x,y) * K(y,a(z,u,x)) = K(x,L(y,u,z)). [para(13491(a,1),11257(a,1,2))]. given #12366 (H,wt=17): 13496 K(x,a(y,z,u)) * K(u,x) = K(u,L(x,z,y)). [para(13491(a,1),11291(a,1,1))]. given #12367 (H,wt=17): 13518 T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). [para(13510(a,1),6939(a,1,1))]. given #12368 (H,wt=17): 13528 K(a(x,y,z),u) * K(z,L(u,y,x)) = K(z,u). [para(13495(a,1),5186(a,1,2))]. given #12369 (H,wt=13): 13530 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(11296,a,13528,a)]. given #12370 (H,wt=8): 13531 K(a(x,y,z),y) = 1. [hyper(11433,a,13530,a),flip(a)]. given #12371 (H,wt=11): 13537 T(a(x,y,z),y) = a(x,y,z). [hyper(37,a,13531,a)]. given #12372 (H,wt=15): 13532 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(240,a,13182,a,b,13530,a),flip(a)]. given #12373 (H,wt=18): 13493 a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. [para(13491(a,2),4810(a,1,1))]. given #12374 (H,wt=18): 13533 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(13530(a,2),4800(a,2,2)),flip(a)]. given #12375 (H,wt=15): 13539 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(10788,a,13533,a)]. given #12376 (H,wt=10): 13542 K(x,a(y,z,z \ 1)) = 1. [hyper(74,a,13539,a,b,4769,a),flip(a)]. given #12377 (H,wt=10): 13543 T(x,a(y,z,z \ 1)) = x. [hyper(35,a,13539,a)]. given #12378 (H,wt=10): 13552 T(x,a(y,z \ 1,z)) = x. [para(4701(a,1),13543(a,1,2))]. given #12379 (H,wt=13): 13551 T(x,y \ (z * ((y \ z) \ 1))) = x. [para(677(a,1),13543(a,1,2))]. given #12380 (H,wt=15): 13553 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(35,a,13552,a)]. given #12381 (H,wt=16): 13540 T(a(x,y,z),L(y,u,w)) = a(x,y,z) * 1. [para(10774(a,1),13533(a,1,2)),flip(a)]. given #12382 (H,wt=17): 13544 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [para(13539(a,1),122(a,1,2)),flip(a)]. given #12383 (H,wt=17): 13545 (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. [para(13539(a,1),179(a,1,2))]. given #12384 (H,wt=17): 13546 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [para(13539(a,1),209(a,1,2))]. given #12385 (H,wt=17): 13556 T(a(x,y,z),L(y,u,w)) != v5 | a(x,y,z) = v5. [para(13540(a,2),85(a,1)),flip(b)]. given #12386 (H,wt=18): 13534 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(13530(a,2),4809(a,2,1)),flip(a)]. given #12387 (H,wt=18): 13541 T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. [para(13533(a,1),10788(a,1)),flip(b)]. given #12388 (H,wt=19): 13524 K((x \ T(y,z)) \ y,u) = K(K(z,y) * x,T(u,y)). [para(13522(a,1),6974(a,1,1,1))]. given #12389 (H,wt=19): 13526 T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). [para(13522(a,1),9136(a,1,2,1))]. given #12390 (H,wt=20): 13549 a(x,y,y \ 1) * z != u | z * a(x,y,y \ 1) = u. [para(13543(a,1),231(a,1,2))]. given #12391 (H,wt=22): 13535 a(x,y,K(z,u)) * (a(x,y,z) * w) = T(a(x,y,z),u) * w. [para(13530(a,2),4815(a,1,1))]. given #12392 (H,wt=23): 13525 T(K(x,y) * L(z,u,w),x) \ y = L(T(z,x),u,w) \ T(y,x). [para(6873(a,2),13522(a,1,1))]. given #12393 (H,wt=23): 13527 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = K(K(y,z),x * x). [para(13506(a,1),26(a,2,1)),flip(a)]. given #12394 (H,wt=23): 13547 T(x * (a(y,z,z \ 1) / x),u) = x * (a(y,z,z \ 1) / x). [para(13539(a,1),4513(a,2,2,1))]. given #12395 (H,wt=23): 13554 x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. [hyper(7325,a,13551,a),flip(a)]. given #12396 (H,wt=24): 13550 x * (a(y,z,z \ 1) * u) != w | x * (u * a(y,z,z \ 1)) = w. [para(13543(a,1),544(a,1,2,2))]. given #12397 (H,wt=25): 13502 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13492(a,1),12302(a,1,1,2))]. given #12398 (H,wt=13): 13559 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(240,a,11884,a(flip),b,13502,a(flip))]. given #12399 (H,wt=10): 13565 a(x,x \ 1,K(y,z)) = 1. [hyper(240,a,13112,a(flip),b,13559,a(flip))]. given #12400 (H,wt=11): 13568 a(K(x,y),y,z) != u | 1 = u. [para(13559(a,2),11433(a,1))]. given #12401 (H,wt=12): 13569 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,13565,a)]. given #12402 (H,wt=12): 13571 K(x,L(y,z \ 1,z)) = K(x,y). [hyper(11281,a,13569,a)]. given #12403 (H,wt=12): 13575 L(K(x,y),z,z \ 1) = K(x,y). [hyper(240,a,10200,a(flip),b,13569,a(flip)),flip(a)]. given #12404 (H,wt=12): 13580 K(x,L(y,z,z \ 1)) = K(x,y). [para(2805(a,1),13571(a,1,2))]. given #12405 (H,wt=12): 13585 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(12623,a,13580,a)]. given #12406 (H,wt=12): 13586 K(x,L(y,z,z \ x)) = K(x,y). [hyper(11612,a,13580,a)]. given #12407 (H,wt=12): 13590 K(R(x,y,y \ 1),z) = K(x,z). [hyper(240,a,12600,a,b,13585,a(flip)),flip(a)]. given #12408 (H,wt=13): 13561 a(K(x,y),z,u) = K(a(x,z,u),y). [hyper(240,a,13530,a(flip),b,13559,a)]. given #12409 (H,wt=13): 13562 a(K(x,y),z,u) = K(u,a(x,z,y)). [hyper(240,a,13491,a(flip),b,13559,a)]. given #12410 (H,wt=13): 13563 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(240,a,13492,a(flip),b,13559,a(flip))]. given #12411 (H,wt=10): 13614 a(x,y,K(z,y * x)) = 1. [hyper(240,a,11023,a(flip),b,13563,a(flip))]. given #12412 (H,wt=12): 13633 a(x,y,K(z,y * x)) * u = u. [para(13614(a,2),11(a,1,1))]. given #12413 (H,wt=13): 13564 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(240,a,13482,a(flip),b,13559,a(flip))]. given #12414 (H,wt=10): 13635 K(x,a(y * z,y,z)) = 1. [hyper(11024,a,13564,a),flip(a)]. given #12415 (H,wt=10): 13646 T(x,a(y * z,y,z)) = x. [hyper(37,a,13635,a)]. given #12416 (H,wt=13): 13570 a(K(x,y),x \ 1,z) != u | 1 = u. [para(13109(a,1),13568(a,1))]. given #12417 (H,wt=13): 13574 K((x \ 1) \ y,z) = K(x * y,z). [hyper(240,a,11311,a(flip),b,13569,a(flip))]. given #12418 (H,wt=13): 13577 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(73,a,13569,a(flip),b,199,a),flip(a)]. given #12419 (H,wt=13): 13578 K(x,(y \ 1) \ z) = K(x,y * z). [para(456(a,1),13571(a,1,2)),flip(a)]. given #12420 (H,wt=13): 13582 K(x,y) / (z * K(x,y)) = 1 / z. [hyper(75,a,13575,a(flip),b,2709,a)]. given #12421 (H,wt=13): 13583 (1 / x) \ K(y,z) = x * K(y,z). [hyper(73,a,13575,a(flip),b,2709,a)]. given #12422 (H,wt=13): 13587 K(x,y * (z \ 1)) = K(x,y / z). [hyper(240,a,12624,a(flip),b,13580,a(flip)),flip(a)]. given #12423 (H,wt=13): 13588 K(x,(1 / y) * z) = K(x,y \ z). [para(2704(a,1),13580(a,1,2))]. given #12424 (H,wt=13): 13594 K(x * (y \ 1),z) = K(x / y,z). [para(488(a,1),13590(a,1,1))]. given #12425 (H,wt=13): 13597 K(a(x,y,z),u) = K(x,a(u,y,z)). [hyper(240,a,13482,a(flip),b,13561,a(flip))]. given #12426 (H,wt=13): 13598 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(240,a,13492,a(flip),b,13562,a(flip)),flip(a)]. given #12427 (H,wt=13): 13599 K(x,a(y,z,u)) = K(u,a(x,z,y)). [hyper(240,a,13482,a(flip),b,13562,a(flip)),flip(a)]. given #12428 (H,wt=12): 13717 K(x * (y * z),a(x,y,z)) = 1. [hyper(13513,a,13599,a),flip(a)]. given #12429 (H,wt=13): 13600 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(13497,a,13563,a)]. given #12430 (H,wt=13): 13649 K((x \ 1) * y,z) = K(x \ y,z). [hyper(5432,a,13574,a),flip(a)]. given #12431 (H,wt=13): 13650 K((1 / x) \ y,z) = K(x * y,z). [hyper(5431,a,13574,a)]. given #12432 (H,wt=13): 13664 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(7110,a,13577,a)]. given #12433 (H,wt=13): 13677 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13577(a,1),7098(a,1,1))]. given #12434 (H,wt=13): 13684 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(240,a,5300,a(flip),b,13578,a(flip))]. given #12435 (H,wt=13): 13691 1 / (x * K(y,z)) = K(z,y) / x. [para(7090(a,1),13582(a,1,2)),flip(a)]. given #12436 (H,wt=13): 13701 K(x,y / (z \ 1)) = K(x,y * z). [hyper(240,a,5292,a(flip),b,13587,a(flip))]. given #12437 (H,wt=13): 13704 K(x,(1 / y) \ z) = K(x,y * z). [hyper(240,a,5306,a(flip),b,13588,a(flip))]. given #12438 (H,wt=13): 13705 K(x / (y \ 1),z) = K(x * y,z). [hyper(5426,a,13594,a),flip(a)]. given #12439 (H,wt=13): 13707 K(x * (1 / y),z) = K(x / y,z). [hyper(240,a,5262,a,b,13594,a(flip)),flip(a)]. given #12440 (H,wt=13): 13708 K(x / (1 / y),z) = K(x * y,z). [para(65(a,1),13594(a,1,1,2)),flip(a)]. given #12441 (H,wt=13): 13711 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(240,a,13562,a,b,13597,a),flip(a)]. given #12442 (H,wt=13): 13713 K(a(x,y,z),u) = K(u,a(z,y,x)). [hyper(240,a,13530,a(flip),b,13598,a(flip)),flip(a)]. given #12443 (H,wt=13): 13727 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(585,a,13664,a),flip(a)]. given #12444 (H,wt=14): 13584 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(13575(a,1),11267(a,1,2)),flip(a)]. given #12445 (H,wt=14): 13591 T(x,R(y,z,z \ 1)) = x * K(x,y). [para(13585(a,1),4800(a,2,2))]. given #12446 (H,wt=12): 13748 T(x,R(y,z,z \ 1)) = T(x,y). [hyper(240,a,4800,a,b,13591,a)]. given #12447 (H,wt=13): 13752 T(x,y * (z \ 1)) = T(x,y / z). [para(488(a,1),13748(a,1,2))]. given #12448 (H,wt=13): 13754 T(x,y * (1 / z)) = T(x,y / z). [hyper(240,a,4409,a,b,13752,a(flip)),flip(a)]. given #12449 (H,wt=13): 13755 T(x,y / (1 / z)) = T(x,y * z). [para(65(a,1),13752(a,1,2,2)),flip(a)]. given #12450 (H,wt=13): 13758 T(x,y / (z \ 1)) = T(x,y * z). [para(62(a,1),13754(a,1,2,2)),flip(a)]. given #12451 (H,wt=14): 13593 K(x * y,L(z,x,y)) = K(x * y,z). [para(13(a,1),13586(a,1,2,3))]. given #12452 (H,wt=14): 13634 K(x,L(y * z,y,z)) = K(x,y * z). [hyper(11295,a,13633,a)]. given #12453 (H,wt=14): 13653 K(x * y,L(z,y,x)) = K(x * y,z). [hyper(240,a,11331,a(flip),b,13574,a(flip))]. given #12454 (H,wt=15): 13572 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(6380,a,13569,a)]. given #12455 (H,wt=15): 13573 K((x \ y) \ z,y) = K(y \ (x * z),y). [hyper(240,a,11374,a(flip),b,13569,a(flip))]. given #12456 (H,wt=15): 13601 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(11308,a,13563,a)]. given #12457 (H,wt=15): 13604 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(240,a,11436,a,b,13563,a),flip(a)]. given #12458 (H,wt=15): 13607 a(x * y,z,K(y,u)) = a(u,z,K(x,y)). [hyper(240,a,11424,a(flip),b,13563,a)]. given #12459 (H,wt=15): 13609 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(240,a,11435,a,b,13563,a(flip)),flip(a)]. given #12460 (H,wt=15): 13610 a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). [hyper(240,a,11432,a,b,13563,a(flip)),flip(a)]. given #12461 (H,wt=15): 13612 a(x,y,K(z * u,z)) = a(z,y,K(x,u)). [hyper(240,a,11423,a,b,13563,a(flip)),flip(a)]. given #12462 (H,wt=15): 13613 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [hyper(240,a,11436,a(flip),b,13563,a(flip))]. given #12463 (H,wt=15): 13617 x * a(y \ 1,y,K(z,u)) != w | w = x. [para(13563(a,2),10788(a,1,2))]. given #12464 (H,wt=15): 13636 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(240,a,13185,a,b,13564,a),flip(a)]. given #12465 (H,wt=15): 13639 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(13564(a,2),4800(a,2,2)),flip(a)]. given #12466 (H,wt=15): 13640 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(13564(a,2),4809(a,2,1)),flip(a)]. given #12467 (H,wt=15): 13658 x * (y * K(x * y,z)) = T(x * y,z). [para(13574(a,1),6052(a,1,2,2))]. given #12468 (H,wt=15): 13659 (x * K(y * x,z)) * y = T(x * y,z). [para(13574(a,1),6185(a,1,1,2))]. given #12469 (H,wt=15): 13678 (x \ K(y,z)) * T(z,y) = (x \ 1) * z. [para(13577(a,1),7117(a,1,1))]. given #12470 (H,wt=15): 13683 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(240,a,10267,a,b,13578,a),flip(a)]. given #12471 (H,wt=15): 13685 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(13578(a,1),4800(a,2,2))]. given #12472 (H,wt=15): 13703 T(x,y * (1 / z)) = x * K(x,y / z). [para(13587(a,1),4857(a,1,2)),flip(a)]. given #12473 (H,wt=15): 13706 K(x \ y,T(z,x)) = K(y * (x \ 1),z). [hyper(240,a,7606,a,b,13594,a),flip(a)]. given #12474 (H,wt=15): 13714 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(13598(a,2),4800(a,2,2)),flip(a)]. given #12475 (H,wt=15): 13744 K(x * (1 / y),z) = z / T(z,x / y). [hyper(240,a,4750,a(flip),b,13707,a)]. given #12476 (H,wt=15): 13747 T(x,L(y,z,z \ 1)) != u | T(x,y) = u. [para(13584(a,2),4803(a,1))]. given #12477 (H,wt=13): 13786 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(13747,a,4422,a),flip(a)]. given #12478 (H,wt=13): 13791 T(x,(1 / y) * z) = T(x,y \ z). [hyper(240,a,4413,a,b,13786,a(flip)),flip(a)]. given #12479 (H,wt=15): 13769 K((x / y) \ z,x) = K(x \ (y * z),x). [hyper(240,a,6315,a,b,13573,a(flip)),flip(a)]. given #12480 (H,wt=15): 13770 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(240,a,13563,a(flip),b,13601,a(flip)),flip(a)]. given #12481 (H,wt=15): 13773 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(240,a,13563,a,b,13607,a)]. given #12482 (H,wt=15): 13774 a(x,y,K(x \ z,u)) = a(z,y,K(u,x)). [hyper(240,a,13563,a,b,13610,a(flip)),flip(a)]. given #12483 (H,wt=15): 13776 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(11257(a,1),13617(a,1)),flip(b)]. given #12484 (H,wt=15): 13788 T(x,L(y,z \ 1,z)) != u | T(x,y) = u. [para(3576(a,1),13747(a,1,2))]. given #12485 (H,wt=15): 13795 a(x,y,K(x \ z,u)) = a(x,y,K(z,u)). [hyper(240,a,13563,a(flip),b,13774,a)]. given #12486 (H,wt=15): 13797 K(x,L(y,z \ 1,z)) != u | K(x,y) = u. [para(3576(a,1),13776(a,1,2))]. given #12487 (H,wt=15): 13798 K(x,L(y,z,z \ x)) != u | K(x,y) = u. [para(11611(a,1),13776(a,1))]. given #12488 (H,wt=15): 13800 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(11248(a,2),13797(a,1))]. given #12489 (H,wt=16): 13632 a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. [para(13563(a,2),13497(a,1))]. given #12490 (H,wt=16): 13656 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(13574(a,1),5432(a,1))]. given #12491 (H,wt=16): 13670 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(13577(a,1),585(a,1))]. given #12492 (H,wt=16): 13696 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(13583(a,1),539(a,1))]. given #12493 (H,wt=16): 13709 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(13594(a,1),5426(a,1))]. given #12494 (H,wt=16): 13719 T(x * (y * z),a(x,y,z)) = x * (y * z). [hyper(37,a,13717,a)]. given #12495 (H,wt=16): 13771 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13601(a,1),11359(a,1))]. given #12496 (H,wt=16): 13780 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13683(a,1),10296(a,1))]. given #12497 (H,wt=16): 13782 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(13685(a,2),4803(a,1))]. given #12498 (H,wt=16): 13784 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(13703(a,2),4803(a,1))]. given #12499 (H,wt=16): 13787 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(2704(a,1),13747(a,1,2))]. given #12500 (H,wt=16): 13789 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(4422(a,1),13747(a,1))]. given #12501 (H,wt=16): 13796 K(x,y * z) != u | K(x,(y \ 1) \ z) = u. [para(2708(a,1),13776(a,1,2))]. given #12502 (H,wt=16): 13799 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(12624(a,1),13776(a,1))]. given #12503 (H,wt=16): 13809 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [para(13719(a,1),665(a,1,2)),flip(a)]. given #12504 (H,wt=16): 13812 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(13491(a,1),13771(a,1))]. given #12505 (H,wt=16): 13813 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13563(a,1),13771(a,1))]. given #12506 (H,wt=16): 13814 K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. [para(13564(a,1),13771(a,1))]. given #12507 (H,wt=16): 13815 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(13600(a,2),13771(a,1))]. given #12508 (H,wt=16): 13820 T(x,(1 / y) \ z) != u | T(x,y * z) = u. [para(4415(a,2),13782(a,1))]. given #12509 (H,wt=16): 13821 T(x,y * (z \ 1)) != u | T(x,y / z) = u. [para(4409(a,1),13784(a,1))]. given #12510 (H,wt=16): 13822 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5295(a,2),13799(a,1))]. given #12511 (H,wt=16): 13825 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(13809(a,2),16(a,1,1))]. given #12512 (H,wt=16): 13829 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13597(a,2),13812(a,1))]. given #12513 (H,wt=17): 13579 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(572(a,1),13571(a,1,2)),flip(a)]. given #12514 (H,wt=17): 13602 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11302,a,13563,a)]. given #12515 (H,wt=17): 13603 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(10767,a,13563,a)]. given #12516 (H,wt=17): 13605 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(240,a,10758,a,b,13563,a),flip(a)]. given #12517 (H,wt=17): 13606 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(240,a,11437,a(flip),b,13563,a)]. given #12518 (H,wt=17): 13608 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,13563,a)]. given #12519 (H,wt=17): 13615 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(7506(a,1),13563(a,1,3))]. given #12520 (H,wt=17): 13616 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13563(a,2),10757(a,1,2))]. given #12521 (H,wt=17): 13619 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13563(a,2),10945(a,1,1))]. given #12522 (H,wt=17): 13620 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [para(13563(a,2),10947(a,1,1))]. given #12523 (H,wt=17): 13623 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(13563(a,1),11257(a,1,2))]. given #12524 (H,wt=17): 13624 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(13563(a,2),11257(a,1,2))]. given #12525 (H,wt=17): 13625 a(x,y,K(z,u)) * K(u,L(x,y,z)) = K(u,x). [para(13563(a,1),11277(a,1,1))]. given #12526 (H,wt=17): 13626 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(13563(a,1),11291(a,1,1))]. given #12527 (H,wt=17): 13627 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(13563(a,2),11291(a,1,1))]. given #12528 (H,wt=17): 13631 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13563(a,1),13410(a,2,2))]. given #12529 (H,wt=17): 13642 K(x,y) * K(z,a(x,u,y)) = K(x,L(y,u,z)). [para(13564(a,1),11257(a,1,2))]. given #12530 (H,wt=17): 13643 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13564(a,1),13491(a,2,2))]. given #12531 (H,wt=17): 13645 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(13562(a,1),13564(a,2,2))]. given #12532 (H,wt=17): 13660 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13574(a,1),6186(a,1,1,2))]. given #12533 (H,wt=17): 13680 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [para(13577(a,1),7567(a,1,1))]. given #12534 (H,wt=17): 13715 K(x,y) * K(x,a(y,z,u)) = K(x,L(y,z,u)). [para(13598(a,1),11257(a,1,2))]. given #12535 (H,wt=17): 13716 a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). [para(13598(a,1),13491(a,2,2))]. given #12536 (H,wt=17): 13720 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [hyper(21,a,13600,a)]. given #12537 (H,wt=17): 13732 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(7098(a,1),13664(a,1,1)),flip(a)]. given #12538 (H,wt=17): 13735 K(T(x \ y,z),z) \ 1 = K(z,(x \ 1) * y). [hyper(240,a,4021,a,b,13684,a),flip(a)]. given #12539 (H,wt=16): 13865 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(13735(a,1),4029(a,1))]. given #12540 (H,wt=17): 13785 T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). [hyper(240,a,11765,a,b,13714,a(flip)),flip(a)]. given #12541 (H,wt=17): 13794 a(x,y,K(z \ x,u)) = a(z,y,K(z \ x,u)). [para(14(a,1),13773(a,1,1))]. given #12542 (H,wt=15): 13867 a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). [hyper(240,a,13795,a(flip),b,13794,a)]. given #12543 (H,wt=17): 13802 K(x * y,L(z,x,y)) != u | K(x * y,z) = u. [para(13(a,1),13798(a,1,2,3))]. given #12544 (H,wt=17): 13842 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(240,a,8519,a,b,13579,a(flip)),flip(a)]. given #12545 (H,wt=17): 13846 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(7110,a,13605,a)]. given #12546 (H,wt=17): 13849 L(K(x \ 1,y),x,z) != u | K(x \ 1,y) = u. [para(13616(a,1),10788(a,1)),flip(b)]. given #12547 (H,wt=17): 13856 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(240,a,11248,a,b,13626,a)]. given #12548 (H,wt=17): 13859 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,z,y)). [hyper(81,a,13642,a)]. given #12549 (H,wt=17): 13862 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [hyper(240,a,13643,a,b,13716,a)]. given #12550 (H,wt=17): 13871 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7507(a,1),13862(a,1,3))]. given #12551 (H,wt=18): 13731 (x \ 1) * y != z | (x \ K(u,y)) * T(y,u) = z. [para(13664(a,1),5950(a,1,1))]. given #12552 (H,wt=18): 13764 K(x * (y \ z),L(y,z,x)) = K(x * (y \ z),y). [hyper(11287,a,13653,a)]. given #12553 (H,wt=18): 13765 (x * y) * K(x * y,z) = T(x * y,L(z,y,x)). [para(13653(a,1),4800(a,2,2)),flip(a)]. given #12554 (H,wt=14): 13874 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(4803,a,13765,a),flip(a)]. given #12555 (H,wt=16): 13875 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13874(a,1),437(a,1,2)),flip(a)]. given #12556 (H,wt=16): 13877 L(x,y,z) * T(z * y,x) = z * (y * x). [para(13875(a,2),16(a,1,1))]. given #12557 (H,wt=18): 13803 K((x * y) \ 1,z) != u | K(y \ (x \ 1),z) = u. [para(6264(a,1),13800(a,1))]. given #12558 (H,wt=18): 13810 a(x,y,K(z,z * u)) != w | a(z,y,K(u,x)) = w. [para(11430(a,2),13771(a,1))]. given #12559 (H,wt=18): 13811 a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. [para(11436(a,2),13771(a,1))]. given #12560 (H,wt=18): 13816 a(x,y,K(z * u,z)) != w | a(x,y,K(u,z)) = w. [para(13612(a,2),13771(a,1))]. given #12561 (H,wt=18): 13817 a(x,y,K(z,u)) != w | a(x,y,K(u,z \ 1)) = w. [para(13613(a,1),13771(a,1))]. given #12562 (H,wt=18): 13819 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(13684(a,2),13780(a,1))]. given #12563 (H,wt=18): 13831 a(x,y,K(z * u,z)) != w | a(z,y,K(x,u)) = w. [para(11423(a,2),13813(a,1))]. given #12564 (H,wt=18): 13833 a(x,y,K(z,u \ 1)) != w | a(x,y,K(u,z)) = w. [para(13604(a,2),13813(a,1))]. given #12565 (H,wt=18): 13834 a(x * y,z,K(y,u)) != w | a(u,z,K(x,y)) = w. [para(13773(a,2),13813(a,1))]. given #12566 (H,wt=18): 13835 a(x,y,K(x \ z,u)) != w | a(x,y,K(z,u)) = w. [para(13774(a,2),13813(a,1))]. given #12567 (H,wt=18): 13866 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(13578(a,2),13865(a,1))]. given #12568 (H,wt=18): 13876 (x * y) / T(x * y,z) = K(L(z,y,x),x * y). [para(13874(a,1),4750(a,2,2)),flip(a)]. given #12569 (H,wt=14): 13893 K(L(x,y,z),z * y) = K(x,z * y). [hyper(4833,a,13876,a),flip(a)]. given #12570 (H,wt=14): 13895 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(11312,a,13893,a)]. given #12571 (H,wt=17): 13894 K(L(x,y,z),z * y) != u | K(x,z * y) = u. [para(13876(a,1),4833(a,1))]. given #12572 (H,wt=17): 13897 K(x,L(y * z,z,y)) != u | K(x,y * z) = u. [para(11309(a,1),13894(a,1))]. given #12573 (H,wt=18): 13881 L(x,y \ z,y) * T(z,x) = y * ((y \ z) * x). [para(14(a,1),13877(a,1,2,1))]. given #12574 (H,wt=12): 13898 T(x,L(y,z \ x,z)) = T(x,y). [hyper(709,a,13881,a)]. given #12575 (H,wt=15): 13899 T(x,(y \ x) \ z) = T(x,x \ (y * z)). [para(454(a,1),13898(a,1,2)),flip(a)]. given #12576 (H,wt=15): 13900 T(x,(x / y) \ z) = T(x,x \ (y * z)). [hyper(240,a,9527,a,b,13899,a(flip)),flip(a)]. given #12577 (H,wt=15): 13901 T(x,x \ ((y \ x) * z)) = T(x,y \ z). [para(62(a,1),13900(a,1,2,1)),flip(a)]. given #12578 (H,wt=18): 13884 a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. [para(13563(a,1),13810(a,1))]. given #12579 (H,wt=18): 13885 a(x,y,K(z * u,u)) != w | a(x,y,K(z,u)) = w. [para(6469(a,2),13816(a,1,3))]. given #12580 (H,wt=18): 13888 a(x,y,K(z,u)) != w | a(x,y,K(u \ 1,z)) = w. [para(3449(a,1),13833(a,1,3))]. given #12581 (H,wt=18): 13889 a(x \ 1,y,K(z,u)) != w | a(z,y,K(x,u)) = w. [para(13563(a,1),13833(a,1))]. given #12582 (H,wt=18): 13890 a(x,y,K(z,u * x)) != w | a(z,y,K(u,x)) = w. [para(13563(a,2),13834(a,1))]. given #12583 (H,wt=19): 13560 a(K(a(x,y,z),u),w,v5) = a(a(x,y,z),K(v5,u),w). [hyper(240,a,47,a,b,13559,a)]. given #12584 (H,wt=19): 13611 a(x,y,K(z \ (u \ w),u)) = a(u,y,K(x,z \ w)). [hyper(240,a,11426,a,b,13563,a(flip)),flip(a)]. given #12585 (H,wt=19): 13637 a(a(x,y,z),K(u,w),v5) = K(a(x,y,z),a(w,v5,u)). [hyper(240,a,47,a,b,13564,a(flip)),flip(a)]. given #12586 (H,wt=19): 13638 a(x,y,K(z,a(u,w,v5))) = K(x,a(a(u,w,v5),z,y)). [para(47(a,1),13564(a,2,2))]. given #12587 (H,wt=19): 13641 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(13564(a,2),5929(a,1,2))]. given #12588 (H,wt=19): 13644 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(13564(a,2),13559(a,1,1))]. given #12589 (H,wt=19): 13663 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13574(a,1),9345(a,1,1,2))]. given #12590 (H,wt=19): 13682 K((x \ 1) \ y,z * u) = K(x * y,(z \ 1) \ u). [hyper(240,a,13574,a,b,13578,a),flip(a)]. given #12591 (H,wt=19): 13694 (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(x,x \ 1). [hyper(73,a,13583,a(flip),b,2974,a)]. given #12592 (H,wt=19): 13712 a(x,y,K(z,a(u,w,v5))) = K(x,a(u,y,a(z,w,v5))). [para(13597(a,1),13564(a,1,3))]. given #12593 (H,wt=19): 13723 K(x \ ((y \ z) * y),u) = K((x \ 1) * T(z,y),u). [hyper(240,a,12763,a,b,13649,a),flip(a)]. given #12594 (H,wt=19): 13751 R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). [para(13748(a,1),122(a,1,2))]. given #12595 (H,wt=19): 13762 K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). [hyper(11395,a,13634,a)]. given #12596 (H,wt=19): 13775 a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). [para(10013(a,1),13610(a,1,3))]. given #12597 (H,wt=19): 13793 K((x * y) \ (y * z),x * y) = K(x \ z,x * y). [para(15(a,1),13769(a,1,1,1)),flip(a)]. given #12598 (H,wt=19): 13845 K(x,y) * K(y,L(x,z,u)) = a(y,y \ z,K(u,x)). [para(11316(a,1),13602(a,1,2))]. given #12599 (H,wt=15): 13917 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(240,a,13602,a(flip),b,13845,a(flip))]. given #12600 (H,wt=15): 13918 a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). [hyper(13813,a,13917,a)]. given #12601 (H,wt=15): 13920 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(240,a,13563,a(flip),b,13918,a)]. given #12602 (H,wt=15): 13921 a(x,x * y,K(z,u)) = a(u,y,K(x,z)). [para(13(a,1),13918(a,1,2)),flip(a)]. given #12603 (H,wt=15): 13923 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),13920(a,1,2)),flip(a)]. given #12604 (H,wt=18): 13922 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(13918(a,2),13813(a,1))]. given #12605 (H,wt=18): 13924 a(x,y \ z,K(y,u)) != w | a(y,z,K(u,x)) = w. [para(13920(a,2),13771(a,1))]. given #12606 (H,wt=19): 13855 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). [para(11421(a,1),13623(a,1,2))]. given #12607 (H,wt=15): 13926 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [hyper(240,a,13623,a(flip),b,13855,a(flip))]. given #12608 (H,wt=19): 13860 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,y \ z,y)). [hyper(73,a,11251,a(flip),b,13642,a)]. given #12609 (H,wt=15): 13928 K(x,a(y,z \ u,z)) = K(x,a(y,u,z)). [hyper(240,a,13859,a(flip),b,13860,a(flip))]. given #12610 (H,wt=17): 13929 T(x,a(y,z \ u,z)) = x * K(x,a(y,u,z)). [para(13928(a,1),4800(a,2,2))]. given #12611 (H,wt=15): 13930 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(240,a,4800,a,b,13929,a)]. given #12612 (H,wt=15): 13931 T(x,a(y,z * u,z)) = T(x,a(y,u,z)). [para(13(a,1),13930(a,1,2,2)),flip(a)]. given #12613 (H,wt=19): 13882 (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. [para(13877(a,1),299(a,1,1)),flip(b)]. given #12614 (H,wt=19): 13902 L(x,y,T(z,(u \ z) * w)) = L(x,y,T(z,u \ w)). [para(13901(a,1),13003(a,1,3)),flip(a)]. given #12615 (H,wt=19): 13904 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). [para(13530(a,2),13560(a,1,1))]. given #12616 (H,wt=19): 13906 a(a(x,y,z),K(u,w),v5) = K(x,a(a(w,v5,u),y,z)). [hyper(240,a,13597,a(flip),b,13637,a)]. given #12617 (H,wt=19): 13907 a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). [hyper(240,a,13564,a,b,13638,a)]. given #12618 (H,wt=19): 13908 a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). [para(13564(a,2),13644(a,2,3))]. given #12619 (H,wt=19): 13910 K(x * y,(z \ 1) \ (z \ u)) = K((x \ 1) \ y,u). [para(14(a,1),13682(a,1,2)),flip(a)]. given #12620 (H,wt=19): 13911 K(x,a(a(y,z,u),w,v5)) = K(x,a(y,w,a(v5,z,u))). [hyper(240,a,13564,a(flip),b,13712,a(flip)),flip(a)]. given #12621 (H,wt=19): 13915 K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). [hyper(240,a,6329,a(flip),b,13762,a(flip)),flip(a)]. given #12622 (H,wt=19): 13916 K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). [hyper(10138,a,13793,a)]. given #12623 (H,wt=19): 13919 K(x,L(y,z \ u,z)) = K(x,y) * a(z,u,K(y,x)). [para(13917(a,1),11257(a,1,2)),flip(a)]. given #12624 (H,wt=15): 13942 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(240,a,11257,a(flip),b,13919,a)]. given #12625 (H,wt=17): 13949 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(10200(a,1),13942(a,1,2)),flip(a)]. given #12626 (H,wt=18): 13943 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(13919(a,2),11288(a,1))]. given #12627 (H,wt=18): 13945 K((x * ((x \ y) / z)) \ y,u) = K(z,L(u,y,x)). [hyper(11393,a,13942,a)]. given #12628 (H,wt=18): 13946 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11274,a,13942,a),flip(a)]. given #12629 (H,wt=18): 13947 K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). [hyper(240,a,11320,a(flip),b,13942,a(flip))]. given #12630 (H,wt=18): 13948 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(454(a,1),13942(a,1,2)),flip(a)]. given #12631 (H,wt=15): 13951 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(10098,a,13948,a)]. given #12632 (H,wt=19): 13925 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7491(a,2),13923(a,1,3))]. given #12633 (H,wt=19): 13927 K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). [para(13926(a,1),5184(a,1,2,1)),flip(a)]. given #12634 (H,wt=15): 13953 K(L(x,y,x \ z),u) = K(L(x,y,z),u). [hyper(240,a,5184,a(flip),b,13927,a)]. given #12635 (H,wt=15): 13954 K(L(x,y,x \ z),u) = K(x,L(u,y,z)). [hyper(240,a,11309,a(flip),b,13953,a)]. given #12636 (H,wt=15): 13955 K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). [hyper(11312,a,13954,a)]. given #12637 (H,wt=19): 13933 a(x,y,K(z,a(u,w,v5))) = a(x,z,a(y,w,K(v5,u))). [para(13564(a,2),13907(a,1,3)),flip(a)]. given #12638 (H,wt=19): 13934 a(a(x,y,z),K(u,w),v5) = a(x,v5,a(u,y,K(z,w))). [hyper(240,a,13904,a(flip),b,13908,a(flip)),flip(a)]. given #12639 (H,wt=19): 13935 K((x \ 1) \ (x \ y),z) = K(y,(u \ 1) \ (u \ z)). [para(14(a,1),13910(a,1,1)),flip(a)]. given #12640 (H,wt=19): 13936 a(a(x,y,z),K(u,w),v5) = K(x,a(w,y,a(z,v5,u))). [hyper(240,a,13906,a,b,13911,a(flip)),flip(a)]. given #12641 (H,wt=19): 13952 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7491(a,2),13925(a,2,3))]. given #12642 (H,wt=19): 13956 a(x,y,a(z,u,K(w,v5))) = a(x,z,a(y,u,K(w,v5))). [para(13564(a,2),13933(a,1,3))]. given #12643 (H,wt=20): 13621 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | v5 = w. [para(13563(a,2),10949(a,1,1))]. given #12644 (H,wt=20): 13622 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(13563(a,2),10952(a,1,1))]. given #12645 (H,wt=20): 13628 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13563(a,1),11288(a,1,2))]. given #12646 (H,wt=20): 13629 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(13563(a,2),11288(a,1,2))]. given #12647 (H,wt=20): 13630 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(13563(a,1),11298(a,1,1))]. given #12648 (H,wt=20): 13687 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. [para(13578(a,2),10291(a,1))]. given #12649 (H,wt=20): 13689 (1 / x) \ K(y,z) != u * w | u \ (x * K(y,z)) = w. [para(13582(a,1),296(a,1,1))]. given #12650 (H,wt=20): 13729 K(x \ 1,x) * (y \ 1) != z | y \ K(x \ 1,x) = z. [para(13664(a,1),2978(a,1,2)),flip(b)]. given #12651 (H,wt=20): 13742 K(x \ 1,(1 / x) \ y) != z | K(x \ 1,y * x) = z. [para(13704(a,2),10291(a,1))]. given #12652 (H,wt=20): 13743 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(13705(a,2),7545(a,1,2))]. given #12653 (H,wt=20): 13772 a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),u \ 1). [para(13604(a,1),13533(a,1,2))]. given #12654 (H,wt=20): 13807 (x \ 1) * K(y,(z \ 1) \ 1) != u | x \ K(y,z) = u. [para(3449(a,2),13696(a,1,2))]. given #12655 (H,wt=20): 13826 a(x / (y * z),y,z) * x = ((x / (y * z)) * y) * z. [para(13809(a,2),253(a,1,1))]. given #12656 (H,wt=20): 13828 K(x,K(y,a(z,u,w))) != v5 | a(x,u,K(y,K(z,w))) = v5. [para(13562(a,1),13812(a,1,2))]. given #12657 (H,wt=20): 13830 K(x,L(y,z,u)) * K(y,x) != w | a(x,z,K(u,y)) = w. [para(11278(a,2),13813(a,1))]. given #12658 (H,wt=20): 13847 a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. [para(13606(a,1),13813(a,1))]. given #12659 (H,wt=20): 13848 x * a(y,z,K(u,w)) != x * v5 | a(w,z,K(y,u)) = v5. [para(13608(a,2),19(a,1))]. given #12660 (H,wt=20): 13852 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(13620(a,1),10949(a,1,2)),flip(b)]. given #12661 (H,wt=20): 13853 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(13623(a,1),5200(a,1,2)),flip(b)]. given #12662 (H,wt=20): 13861 K(x,y) \ K(x,L(y,z,u)) != w | K(u,a(x,z,y)) = w. [para(13642(a,1),241(a,1,2)),flip(b)]. given #12663 (H,wt=20): 13869 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13856(a,1),20(a,1))]. given #12664 (H,wt=20): 13896 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(13893(a,1),4909(a,1,1))]. given #12665 (H,wt=20): 13903 a(x,y,K(z \ 1,u * z)) != w | a(x,y,K(u,z)) = w. [para(11435(a,2),13885(a,1))]. given #12666 (H,wt=20): 13944 K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). [hyper(11394,a,13942,a)]. given #12667 (H,wt=20): 13950 K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). [hyper(11351,a,13946,a),flip(a)]. given #12668 (H,wt=20): 13961 a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. [para(11325(a,1),13847(a,1))]. given #12669 (H,wt=20): 13962 a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. [para(13619(a,2),13852(a,1))]. given #12670 (H,wt=21): 13618 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13563(a,1),10762(a,2,1))]. given #12671 (H,wt=21): 13690 ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). [para(13582(a,1),4256(a,2,2))]. given #12672 (H,wt=21): 13699 K(x,y * ((z \ 1) \ K(u,w))) = K(x,y * (z * K(u,w))). [para(13583(a,1),5309(a,1,2,2)),flip(a)]. given #12673 (H,wt=21): 13730 K(x,x \ K(y,z)) * K(z,y) = x \ ((x \ K(y,z)) \ 1). [para(13664(a,1),5055(a,1,2)),flip(a)]. given #12674 (H,wt=21): 13753 T(x,T(y,z \ u) / (u \ z)) = T(x,((u \ z) \ 1) * y). [hyper(10311,a,13752,a),flip(a)]. given #12675 (H,wt=21): 13756 T(x,(y * K(z \ 1,u)) / z) = T(x,y * T(z \ 1,u)). [para(5918(a,1),13752(a,1,2)),flip(a)]. given #12676 (H,wt=21): 13767 (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). [para(13572(a,1),5083(a,1,2,1))]. given #12677 (H,wt=15): 13966 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(5162,a,13767,a),flip(a)]. given #12678 (H,wt=21): 13801 K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. [para(13574(a,2),13797(a,1))]. given #12679 (H,wt=16): 13969 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(324(a,1),13801(a,1,2))]. given #12680 (H,wt=16): 13971 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(5266(a,2),13969(a,1))]. given #12681 (H,wt=19): 13970 K((x \ 1) \ y,L(z,y,x)) != u | K(x * y,z) = u. [para(11327(a,2),13801(a,1))]. given #12682 (H,wt=21): 13804 L(K((x \ 1) \ y,z),u \ 1,u) != w | K(x * y,z) = w. [para(13574(a,2),13800(a,1,1))]. given #12683 (H,wt=21): 13850 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13615(a,1),13616(a,1,2))]. given #12684 (H,wt=21): 13854 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(7506(a,1),13623(a,1,2,3))]. given #12685 (H,wt=21): 13913 R(x,y,y \ 1) * (x \ z) = (z / x) * R(x,y,y \ 1). [para(124(a,1),13751(a,1,2))]. given #12686 (H,wt=21): 13937 x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). [para(13915(a,1),263(a,1,2))]. given #12687 (H,wt=21): 13939 K(x \ (y \ z),x * y) \ 1 = K(x * y,(x * y) \ z). [para(13915(a,1),4977(a,1,1))]. given #12688 (H,wt=19): 13976 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [hyper(4999,a,13939,a),flip(a)]. given #12689 (H,wt=21): 13968 (x \ ((y * z) \ x)) * T(x,z \ (y \ 1)) = (y * z) \ x. [para(13966(a,1),3886(a,1,2))]. given #12690 (H,wt=21): 13977 x * K(y * z,y \ (z \ x)) = (y * z) * (x / (y * z)). [para(13976(a,1),4976(a,1,2))]. given #12691 (H,wt=22): 13566 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13559(a,1),94(a,1,2))]. given #12692 (H,wt=22): 13567 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13559(a,1),140(a,1,2))]. given #12693 (H,wt=22): 13647 K(x * (y \ z),L(u,x \ 1,y)) = K((y * (x \ 1)) \ z,u). [hyper(11395,a,13574,a),flip(a)]. given #12694 (H,wt=22): 13726 ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. [para(13650(a,1),4803(a,1,2))]. given #12695 (H,wt=22): 13808 (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. [para(13727(a,1),13696(a,1,1))]. given #12696 (H,wt=22): 13818 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(10451(a,2),13780(a,1))]. given #12697 (H,wt=22): 13832 a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. [para(11426(a,2),13813(a,1))]. given #12698 (H,wt=22): 13836 K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. [para(11309(a,1),13814(a,1))]. given #12699 (H,wt=22): 13841 K(a(x,y,z),u) * (K(x,u) * (y * z)) = (K(x,u) * y) * z. [para(13561(a,1),13825(a,1,1))]. given #12700 (H,wt=22): 13886 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(z \ (w \ u),w)) = v5. [para(11034(a,1),13816(a,1,3))]. given #12701 (H,wt=22): 13887 K(x,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = w. [para(2850(a,1),13819(a,1,2,1))]. given #12702 (H,wt=22): 13905 a(x,y,K(z \ (u \ w),u)) != v5 | a(x,y,K(z \ w,u)) = v5. [para(13611(a,2),13771(a,1))]. given #12703 (H,wt=22): 13960 K(x,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. [para(13609(a,1),13628(a,1,2))]. given #12704 (H,wt=22): 13965 T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. [para(13753(a,2),13789(a,1))]. given #12705 (H,wt=23): 13710 (K(x / y,(y \ 1) \ 1) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(13594(a,1),5848(a,1,1,1))]. given #12706 (H,wt=19): 13983 (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(3449(a,1),13710(a,1,1,1))]. given #12707 (H,wt=19): 13984 (K(x \ y,x) / (x \ 1)) \ y = y / (1 / (x \ 1)). [para(4994(a,1),13983(a,1,1,1))]. given #12708 (H,wt=23): 13792 T(x,((1 / y) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(12862(a,2),13791(a,1,2))]. given #12709 (H,wt=21): 13986 T(x,y \ (a(z,u,z) * w)) = T(x,(a(z,u,z) / y) * w). [para(12562(a,1),13792(a,1,2,1)),flip(a)]. given #12710 (H,wt=21): 13987 T(x,(a(y,z,y) / u) * w) = T(x,a(y,z,y) * (u \ w)). [para(12880(a,1),13986(a,1,2)),flip(a)]. given #12711 (H,wt=19): 13988 T(x,(a(y,z,y) / u) * w) != v5 | T(x,u \ w) = v5. [para(13987(a,2),12729(a,1))]. given #12712 (H,wt=23): 13805 L(K((x \ y) \ z,y),u \ 1,u) != w | K(y \ (x * z),y) = w. [para(13573(a,2),13800(a,1,1))]. given #12713 (H,wt=23): 13857 K(x,L(y,z,(u * w) \ u)) = a(x,z,K(w \ 1,y)) * K(x,y). [para(6018(a,1),13626(a,1,1,3)),flip(a)]. given #12714 (H,wt=19): 13990 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [hyper(240,a,13626,a(flip),b,13857,a)]. given #12715 (H,wt=22): 13991 K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13857(a,2),13630(a,1))]. given #12716 (H,wt=22): 13992 K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13062(a,2),13991(a,1,2))]. given #12717 (H,wt=23): 13858 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). [para(13705(a,1),13626(a,1,1,3))]. given #12718 (H,wt=22): 13994 K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. [para(13858(a,1),13630(a,1))]. given #12719 (H,wt=23): 13864 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(240,a,10711,a,b,13732,a(flip)),flip(a)]. given #12720 (H,wt=17): 13995 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,13864,a)]. given #12721 (H,wt=19): 13997 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(13732(a,2),13995(a,1,2))]. given #12722 (H,wt=19): 13998 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(74,a,13997,a,b,4979,a),flip(a)]. given #12723 (H,wt=23): 13868 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(240,a,8316,a(flip),b,13856,a)]. given #12724 (H,wt=23): 13872 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11104,a,13871,a)]. given #12725 (H,wt=23): 13873 (x * y) * K(x * (z \ y),z) = x * (y * K(x * (z \ y),z)). [para(13764(a,1),11263(a,1,2))]. given #12726 (H,wt=23): 13909 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4645,a(flip),b,13663,a)]. given #12727 (H,wt=19): 14006 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10141(a,1),13909(a,1,2))]. given #12728 (H,wt=15): 14007 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),14006(a,1,2,1))]. given #12729 (H,wt=17): 14012 (x * T(y,z)) \ (y * x) = K(z,y) * K(y,x). [para(7133(a,1),14007(a,1,1)),flip(a)]. given #12730 (H,wt=18): 14013 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(14007(a,1),7733(a,1,2))]. given #12731 (H,wt=20): 14009 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(148(a,1),14007(a,1,1)),flip(a)]. given #12732 (H,wt=18): 14014 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(240,a,5929,a(flip),b,14009,a)]. given #12733 (H,wt=18): 14015 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(14014(a,1),62(a,1,2)),flip(a)]. given #12734 (H,wt=23): 13974 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [para(13923(a,1),13850(a,1,2))]. given #12735 (H,wt=23): 14003 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7507(a,1),13872(a,1,2))]. given #12736 (H,wt=21): 14016 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(240,a,12206,a(flip),b,14003,a(flip)),flip(a)]. given #12737 (H,wt=19): 14017 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10842(a,1),14016(a,1,1))]. given #12738 (H,wt=19): 14018 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7507(a,1),14017(a,2,3))]. given #12739 (H,wt=24): 13777 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(235(a,1),13636(a,1,2,1))]. given #12740 (H,wt=22): 14019 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(y,z,K(x,z \ u)). [hyper(240,a,13611,a(flip),b,13777,a)]. given #12741 (H,wt=24): 13824 K(x,y * (z \ K(u \ z,u))) != w | K(x,y / (u * (z / u))) = w. [para(10243(a,1),13799(a,1,2,2))]. given #12742 (H,wt=24): 13838 a(x,y,T(z,y)) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. [hyper(240,a,10808,a,b,13825,a)]. given #12743 (H,wt=24): 13863 x * a(K(y,z),u,w) != v5 * v6 | v5 \ (x * a(w,u,K(z,y))) = v6. [para(13720(a,2),517(a,1))]. given #12744 (H,wt=24): 13892 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(10507(a,1),13866(a,1,2,1))]. given #12745 (H,wt=24): 13967 T(x,a(y * z,(y * z) \ y,z)) = T(x,z \ (((y * z) \ y) \ 1)). [hyper(240,a,6100,a,b,13966,a(flip)),flip(a)]. given #12746 (H,wt=24): 13973 L(K(x,y),z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(13850(a,1),19(a,1))]. given #12747 (H,wt=24): 13978 x * K(y * z,y \ (z \ x)) != u | (y * z) * (x / (y * z)) = u. [para(13976(a,1),5138(a,1,2))]. given #12748 (H,wt=24): 13993 K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. [para(13949(a,1),13991(a,1))]. given #12749 (H,wt=22): 14021 K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(13990(a,1),13993(a,1))]. given #12750 (H,wt=24): 13999 x * K(K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) != w | w = x. [para(13997(a,2),85(a,1,2))]. given #12751 (H,wt=25): 13516 (x * K(y,z)) \ (x * (T(y,z) / u)) != w | L(y / u,K(y,z),x) = w. [para(13510(a,1),449(a,1,2,2))]. given #12752 (H,wt=25): 13665 T(x * K(y,z),x \ 1) = (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z). [hyper(240,a,3892,a,b,13577,a),flip(a)]. given #12753 (H,wt=25): 13686 L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. [para(13578(a,1),9363(a,1,1))]. given #12754 (H,wt=25): 13740 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13691(a,1),6302(a,1,2,1,2,2))]. given #12755 (H,wt=25): 13843 K(x \ 1,T(x * y,z)) * T(y,z) = T((x \ 1) * (y / (x \ 1)),z). [para(13579(a,1),10640(a,1,1))]. given #12756 (H,wt=25): 13914 K((1 / x) \ R(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [para(13751(a,2),13650(a,2,1))]. given #12757 (H,wt=25): 13980 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(13566(a,1),299(a,1,1)),flip(b)]. given #12758 (H,wt=25): 13996 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(240,a,13291,a,b,13995,a(flip)),flip(a)]. given #12759 (H,wt=23): 14028 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11752(a,1),13996(a,1,1))]. given #12760 (H,wt=25): 14002 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(7951(a,1),13868(a,1,1,3))]. given #12761 (H,wt=25): 14011 (x \ (((y * z) / y) * y)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(4120(a,2),14007(a,2,2))]. given #12762 (H,wt=21): 14030 (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(16(a,1),14011(a,1,1,2))]. given #12763 (H,wt=17): 14032 (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). [para(4960(a,1),14030(a,1,2))]. given #12764 (H,wt=25): 14022 K(x,L((y * z) / u,u,z \ 1)) = K(x,L((y * z) / u,y,z \ 1)). [hyper(14021,a,11250,a(flip)),flip(a)]. given #12765 (H,wt=25): 14025 K(x,L(y * (z \ u),z \ u,z)) != w | K(x,(z * (y \ 1)) \ u) = w. [para(11248(a,1),13686(a,1))]. given #12766 (H,wt=25): 14026 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(11883(a,1),13980(a,1))]. given #12767 (H,wt=25): 14029 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14028(a,1),12394(a,1,2)),flip(a)]. given #12768 (H,wt=23): 14033 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(240,a,12648,a(flip),b,14029,a)]. given #12769 (H,wt=23): 14035 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5571(a,1),14033(a,1,2,1))]. given #12770 (H,wt=21): 14036 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11752(a,1),14035(a,1,2))]. given #12771 (H,wt=21): 14037 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(14036(a,1),65(a,1,1))]. given #12772 (H,wt=26): 13529 R(K(x,y) \ (T(x,y) / z),K(x,y),z) / K(x,y) = x / (K(x,y) * z). [hyper(75,a,625,a,b,13518,a(flip))]. given #12773 (H,wt=26): 13558 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) != u | K(y,K(z,x * x)) = u. [para(13527(a,2),7763(a,1))]. given #12774 (H,wt=26): 13844 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(240,a,47,a,b,13602,a)]. given #12775 (H,wt=26): 13870 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13856(a,2),8463(a,1))]. given #12776 (H,wt=26): 13891 K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. [para(2597(a,1),13866(a,1,2,1))]. given #12777 (H,wt=26): 13940 K((x * (y \ 1)) \ 1,x * (y \ 1)) != z | K(x \ y,x * (y \ 1)) = z. [para(13915(a,2),5433(a,1))]. given #12778 (H,wt=26): 13963 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(73,a,13896,a(flip),b,10164,a)]. given #12779 (H,wt=26): 13972 K(x * (y / (z * y)),z \ 1) != u | K(x * ((z * y) \ y),z \ 1) = u. [para(12017(a,1),13969(a,1))]. given #12780 (H,wt=26): 14004 x * K(y * (z \ u),z) != y * (u * K(y * (z \ u),z)) | y * u = x. [para(13873(a,1),20(a,1)),flip(a)]. given #12781 (H,wt=26): 14039 R(K(x,y) * (T(y,x) / z),K(y,x),z) / K(y,x) = y / (K(y,x) * z). [para(5183(a,1),13529(a,1,1,1))]. given #12782 (H,wt=20): 14042 R(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(13514(a,1),14039(a,1,1,1))]. given #12783 (H,wt=26): 14040 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(13564(a,2),13844(a,1,1))]. given #12784 (H,wt=26): 14041 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7487(a,1),13870(a,1,1,3))]. given #12785 (H,wt=19): 14045 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(14041,a,14002,a),flip(a)]. given #12786 (H,wt=19): 14046 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(65(a,1),14045(a,1,2,2,3)),flip(a)]. given #12787 (H,wt=26): 14044 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(13530(a,2),14040(a,1,2))]. given #12788 (H,wt=26): 14047 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(240,a,13934,a(flip),b,14044,a)]. given #12789 (H,wt=26): 14048 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(13622,a,14047,a)]. given #12790 (H,wt=26): 14049 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(240,a,13608,a,b,14047,a(flip)),flip(a)]. given #12791 (H,wt=26): 14051 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(11309(a,1),14049(a,1,2,3))]. given #12792 (H,wt=26): 14052 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(73,a,13956,a,b,14051,a)]. given #12793 (H,wt=27): 13964 K(x,y * z) * (y * (z * x)) != u * w | u \ (L(x,z,y) * (y * z)) = w. [para(13896(a,2),517(a,1))]. given #12794 (H,wt=28): 13595 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,R(x,y,y \ 1) \ z). [para(13590(a,1),4976(a,1,2)),flip(a)]. given #12795 (H,wt=23): 14053 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). [para(12568(a,1),13595(a,2,2))]. given #12796 (H,wt=21): 14054 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = x * (z / x). [hyper(240,a,4976,a(flip),b,14053,a)]. given #12797 (H,wt=24): 14056 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) != x * u | z / x = u. [para(14054(a,2),19(a,1))]. given #12798 (H,wt=26): 14057 (x * (y \ 1)) * (z / R(x / y,y,y \ 1)) = (x / y) * (z / (x / y)). [para(488(a,1),14054(a,1,1))]. given #12799 (H,wt=23): 14058 (x * (y \ 1)) * (z / (x * (y \ 1))) = (x / y) * (z / (x / y)). [para(488(a,1),14057(a,1,2,2))]. given #12800 (H,wt=28): 13912 K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * v6) = T(a(x,z,u),a(y,w,v5)) * v6. [para(13712(a,1),13535(a,1,1))]. given #12801 (H,wt=28): 13938 K(L(x \ y,x,z / y),(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). [para(459(a,2),13915(a,1,1))]. given #12802 (H,wt=23): 14059 K((x / y) \ (z \ x),(x / y) * z) = K(z \ y,(x / y) * z). [hyper(13894,a,13938,a),flip(a)]. given #12803 (H,wt=25): 14060 (((x / y) * z) \ x) * ((x / y) * z) = x * K(z \ y,(x / y) * z). [para(14059(a,1),13937(a,1,2)),flip(a)]. given #12804 (H,wt=26): 14061 L(x \ y,x,z / y) * ((z / y) * x) = z * K(x \ y,(z / y) * x). [para(459(a,2),14060(a,1,1))]. given #12805 (H,wt=29): 13648 K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9061,a,13574,a)]. given #12806 (H,wt=27): 14062 K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(10955,a,13648,a)]. given #12807 (H,wt=29): 13681 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * (x \ K(u,w)). [para(13577(a,1),11340(a,2,2))]. given #12808 (H,wt=29): 13932 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,T(u,y)),x) = w. [para(7611(a,1),13882(a,1,1,2))]. given #12809 (H,wt=29): 13941 K(x \ (y \ z),x * y) * K((x * y) \ z,K(x,y)) = K((x * y) \ z,y * x). [para(13915(a,1),10396(a,1,1))]. given #12810 (H,wt=29): 13985 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = (1 / (x \ 1)) \ L((x \ y) \ y,z,u). [para(5128(a,1),13984(a,1,1,1)),flip(a)]. given #12811 (H,wt=25): 14063 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = x \ L((x \ y) \ y,z,u). [hyper(240,a,319,a(flip),b,13985,a)]. given #12812 (H,wt=21): 14065 L((x \ y) \ y,z,u) / x = x \ L((x \ y) \ y,z,u). [para(62(a,1),14063(a,1,2))]. given #12813 (H,wt=29): 14050 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(14047(a,1),13621(a,1,2)),flip(b)]. given #12814 (H,wt=30): 13536 (x * (y * z)) \ ((x * y) * (z * a(x,y,K(z,u)))) = T(a(x,y,z),L(u,z,x * y)). [para(13530(a,2),11366(a,1,2,2,2))]. given #12815 (H,wt=30): 13823 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. [para(6760(a,2),13799(a,1))]. given #12816 (H,wt=30): 13837 a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y)))) = (x * T(y,K(u,z))) * K(z,u). [hyper(240,a,10938,a,b,13825,a)]. given #12817 (H,wt=30): 14001 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(107(a,2),13868(a,2,2,2)),flip(a)]. given #12818 (H,wt=28): 14067 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13920(a,1),14001(a,2,1))]. given #12819 (H,wt=22): 14068 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(240,a,13868,a(flip),b,14067,a)]. given #12820 (H,wt=19): 14069 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(107(a,1),14068(a,1,2,2))]. given #12821 (H,wt=19): 14070 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(10199(a,2),14069(a,1,2,2))]. given #12822 (H,wt=30): 14020 K(x,((y * ((y * z) / y)) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [para(4120(a,1),14019(a,1,2,1,1))]. given #12823 (H,wt=30): 14066 K(x,a(T(y,z),z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). [para(13564(a,1),13837(a,1,1))]. given #12824 (H,wt=31): 13538 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(z,y,K(x,L(x,y,z) * (x \ u))). [para(13532(a,1),10257(a,1,2)),flip(a)]. given #12825 (H,wt=29): 14071 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). [para(13775(a,1),13538(a,2,2))]. given #12826 (H,wt=32): 13959 K(x,(y \ 1) \ (y \ L(z,u \ x,(u \ x) \ 1))) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [hyper(240,a,11262,a(flip),b,13935,a(flip))]. given #12827 (H,wt=32): 13982 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),L(x * (y \ 1),y \ 1,x)). [hyper(240,a,6760,a,b,13647,a),flip(a)]. given #12828 (H,wt=27): 14073 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x * (y \ 1)). [hyper(240,a,13895,a(flip),b,13982,a)]. given #12829 (H,wt=25): 14074 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x / y). [hyper(240,a,13587,a(flip),b,14073,a)]. given #12830 (H,wt=21): 14075 K((x * (y \ 1)) \ z,x / y) = K(y * (x \ z),x / y). [hyper(13823,a,14074,a)]. given #12831 (H,wt=21): 14076 K(x / (y * (z \ 1)),y / z) = K(z * (y \ x),y / z). [hyper(8060,a,14075,a)]. given #12832 (H,wt=32): 14072 K(x,L((y \ 1) \ (y \ z),u \ x,(u \ x) \ 1)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [para(1648(a,2),13959(a,1,2))]. given #12833 (H,wt=28): 14077 K(x,L((y \ 1) \ (y \ z),u \ x,u)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [hyper(240,a,11613,a(flip),b,14072,a(flip)),flip(a)]. given #12834 (H,wt=17): 14078 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(240,a,11503,a(flip),b,14077,a(flip))]. given #12835 (H,wt=15): 14082 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(73,a,14078,a(flip),b,6569,a(flip))]. given #12836 (H,wt=13): 14083 (x \ y) * K(y,z) = x \ T(y,z). [hyper(13670,a,14082,a)]. given #12837 (H,wt=13): 14084 (x \ y) \ (x \ T(y,z)) = K(y,z). [hyper(73,a,14082,a(flip),b,13583,a(flip))]. given #12838 (H,wt=13): 14088 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(7110,a,14083,a)]. given #12839 (H,wt=13): 14089 (x / y) \ T(x,z) = y * K(x,z). [hyper(585,a,14083,a),flip(a)]. given #12840 (H,wt=13): 14105 (T(x,y) / z) \ x = z * K(y,x). [hyper(585,a,14088,a),flip(a)]. given #12841 (H,wt=13): 14112 (x / y) * (y * K(x,z)) = T(x,z). [para(14089(a,1),14(a,1,2))]. given #12842 (H,wt=13): 14118 x / (y * K(z,x)) = T(x,z) / y. [para(14105(a,1),62(a,1,2))]. given #12843 (H,wt=15): 14085 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(65(a,1),14082(a,1,1,2))]. given #12844 (H,wt=15): 14108 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(13520(a,1),14088(a,1,1)),flip(a)]. given #12845 (H,wt=15): 14122 T(x,y) / (z * T(x,y)) = x / (z * x). [para(7103(a,1),14118(a,1,2)),flip(a)]. given #12846 (H,wt=16): 14095 (x \ y) \ (x \ T(y,z)) != u | K(y,z) = u. [para(14083(a,1),241(a,1,2)),flip(b)]. given #12847 (H,wt=16): 14101 K(x,y \ T(x,z)) != u | K(x,y \ x) = u. [para(14083(a,1),7733(a,1,2))]. given #12848 (H,wt=16): 14104 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(14084(a,1),224(a,1,2)),flip(b)]. given #12849 (H,wt=16): 14126 x * K(y,z) != u | (y / x) \ T(y,z) = u. [para(65(a,1),14104(a,1,1))]. given #12850 (H,wt=17): 14080 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(240,a,5517,a(flip),b,14078,a(flip)),flip(a)]. given #12851 (H,wt=15): 14127 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14080(a,1),6420(a,2,1))]. given #12852 (H,wt=13): 14129 K(x,y) * (1 / z) = K(x,y) / z. [hyper(240,a,13515,a(flip),b,14127,a(flip)),flip(a)]. given #12853 (H,wt=13): 14131 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(5191,a,14129,a)]. given #12854 (H,wt=13): 14134 K(x,y) / (z \ 1) = K(x,y) * z. [para(62(a,1),14129(a,1,2)),flip(a)]. given #12855 (H,wt=13): 14140 1 / (x \ K(y,z)) = K(z,y) * x. [para(62(a,1),14131(a,1,2)),flip(a)]. given #12856 (H,wt=13): 14142 (K(x,y) * z) \ K(x,y) = z \ 1. [para(14134(a,1),65(a,1,1))]. given #12857 (H,wt=13): 14147 (K(x,y) * z) \ 1 = z \ K(y,x). [para(14140(a,1),65(a,1,1))]. given #12858 (H,wt=15): 14128 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(240,a,4756,a(flip),b,14127,a)]. given #12859 (H,wt=15): 14136 T(x,y) * (K(y,x) / z) = x * (1 / z). [para(14129(a,1),5082(a,1,2))]. given #12860 (H,wt=15): 14155 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(5057(a,1),14142(a,1,1)),flip(a)]. given #12861 (H,wt=16): 14135 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(14129(a,1),4810(a,1))]. given #12862 (H,wt=16): 14141 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(14131(a,1),5200(a,1,2)),flip(b)]. given #12863 (H,wt=16): 14143 (K(x,y) * z) \ K(x,y) != u | z \ 1 = u. [para(14134(a,1),250(a,1,1)),flip(b)]. given #12864 (H,wt=16): 14148 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(14140(a,1),250(a,1,1)),flip(b)]. given #12865 (H,wt=16): 14154 K(x,y) / (z \ 1) != u | K(x,y) * z = u. [para(14142(a,1),298(a,1,2)),flip(b)]. given #12866 (H,wt=17): 14091 K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). [hyper(182,a,14083,a,b,5178,a),flip(a)]. given #12867 (H,wt=17): 14092 K(x,y \ z) * (y \ x) = y \ T(x,z / y). [hyper(240,a,8161,a,b,14083,a(flip)),flip(a)]. given #12868 (H,wt=17): 14133 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(240,a,4892,a,b,14129,a(flip)),flip(a)]. given #12869 (H,wt=17): 14137 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14129(a,1),6939(a,1,1))]. given #12870 (H,wt=17): 14138 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(14129(a,1),7565(a,1,1))]. given #12871 (H,wt=18): 14125 K(x,T(y \ x,z)) != u | K(x,T(y,z) \ x) = u. [para(7156(a,1),14101(a,1))]. given #12872 (H,wt=18): 14139 K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). [para(13571(a,1),14129(a,1,1)),flip(a)]. given #12873 (H,wt=14): 14178 L(x,x \ K(y,z),x) \ 1 = 1 / x. [hyper(12984,a,14139,a)]. given #12874 (H,wt=14): 14179 L(x,x \ K(y,z),x) = 1 / (1 / x). [para(14178(a,1),62(a,1,2)),flip(a)]. given #12875 (H,wt=18): 14173 T(x,y) / ((1 / z) \ x) != u | K(x,y) / z = u. [para(13515(a,2),14141(a,1))]. given #12876 (H,wt=19): 14099 T(x,x \ y) \ T(y,z) = T(x \ y,x) * K(y,z). [para(3938(a,1),14083(a,1,1)),flip(a)]. given #12877 (H,wt=19): 14102 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(13564(a,2),14083(a,1,2))]. given #12878 (H,wt=19): 14107 (x \ y) * K(z,y * K(z,y)) = x \ (y * K(z,y)). [para(4777(a,1),14088(a,1,1,2))]. given #12879 (H,wt=15): 14181 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(4963(a,1),14107(a,1,2)),flip(a)]. given #12880 (H,wt=15): 14182 (K(x,y) * z) \ x = z \ (x * K(y,x)). [hyper(240,a,14108,a,b,14181,a),flip(a)]. given #12881 (H,wt=15): 14183 x \ ((y * z) / y) = (x \ z) * K(y,z). [para(4776(a,2),14181(a,1,2))]. given #12882 (H,wt=17): 14184 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(4813(a,1),14181(a,1,2)),flip(a)]. given #12883 (H,wt=17): 14185 (x \ (y * K(z,y))) * z = (x \ y) * T(z,y). [para(14181(a,2),5918(a,1,1))]. given #12884 (H,wt=17): 14188 (x \ ((y * z) / y)) * y = (x \ z) * T(y,z). [para(14183(a,2),5918(a,1,1))]. given #12885 (H,wt=17): 14192 R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). [para(14184(a,1),13193(a,1,3))]. given #12886 (H,wt=19): 14149 a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). [para(14140(a,1),4712(a,1,2)),flip(a)]. given #12887 (H,wt=19): 14150 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(14140(a,1),13708(a,1,1,2))]. given #12888 (H,wt=19): 14151 T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). [para(14140(a,1),13791(a,1,2,1)),flip(a)]. given #12889 (H,wt=19): 14156 ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. [para(5325(a,1),14142(a,1,1))]. given #12890 (H,wt=19): 14157 ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. [para(5530(a,1),14142(a,1,1))]. given #12891 (H,wt=19): 14164 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(14147(a,1),13587(a,1,2,2)),flip(a)]. given #12892 (H,wt=19): 14177 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13691(a,2),14137(a,1,1))]. given #12893 (H,wt=15): 14194 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(240,a,8027,a(flip),b,14177,a(flip)),flip(a)]. given #12894 (H,wt=20): 14096 x \ T(y,z) != K(y,z) * u | T(x \ y,K(y,z)) = u. [para(14083(a,1),183(a,2)),flip(a)]. given #12895 (H,wt=20): 14114 (x / y) * (y * K(x,z)) != u * w | T(x,z) / w = u. [para(14089(a,1),295(a,1,2))]. given #12896 (H,wt=20): 14115 (x / y) * (y * K(x,z)) != u * w | u \ T(x,z) = w. [para(14089(a,1),376(a,1,2))]. given #12897 (H,wt=20): 14160 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(14147(a,2),5193(a,1))]. given #12898 (H,wt=20): 14171 (1 / x) * K(y,1 / x) != z | K(y,1 / x) / x = z. [para(3191(a,1),14141(a,1))]. given #12899 (H,wt=20): 14172 K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. [para(4756(a,2),14141(a,1,2))]. given #12900 (H,wt=20): 14174 T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. [para(5182(a,1),14148(a,1,1))]. given #12901 (H,wt=17): 14199 (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). [hyper(14174,a,8151,a)]. given #12902 (H,wt=19): 14201 T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. [para(14199(a,1),13664(a,1,1))]. given #12903 (H,wt=15): 14202 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(7254,a,14201,a),flip(a)]. given #12904 (H,wt=17): 14203 K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. [para(7104(a,1),14202(a,1,1)),flip(a)]. given #12905 (H,wt=17): 14204 K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. [para(13577(a,1),14202(a,1,1)),flip(a)]. given #12906 (H,wt=20): 14189 (x \ ((y * z) / y)) * y != u | (x \ z) * T(y,z) = u. [para(14183(a,2),5950(a,1,1))]. given #12907 (H,wt=21): 14103 (x \ K(y,z)) \ T(x \ 1,u) = K(z,y) * K(x \ 1,u). [para(13677(a,1),14083(a,1,1)),flip(a)]. given #12908 (H,wt=21): 14144 (K(x,y) * z) * T(z \ 1,u) = K(x,y) * K(z \ 1,u). [para(14134(a,1),5928(a,1,1))]. given #12909 (H,wt=21): 14168 T(x,T((y \ z) \ K(y,u),w)) = T(x,T(z \ T(y,u),w)). [para(14155(a,1),9099(a,1,2,1))]. given #12910 (H,wt=21): 14169 K(x * ((y \ z) \ K(y,u)),w) = K(x / (T(y,u) \ z),w). [para(14155(a,1),13594(a,1,1,2))]. given #12911 (H,wt=21): 14176 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14137(a,1),8962(a,1,1))]. given #12912 (H,wt=21): 14196 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(14194(a,1),14129(a,1,2))]. given #12913 (H,wt=21): 14200 ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). [para(14199(a,2),8151(a,1,1))]. given #12914 (H,wt=22): 14093 (x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x). [para(14083(a,1),28(a,2,2,2)),flip(a)]. given #12915 (H,wt=22): 14097 R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). [para(493(a,1),14083(a,1,1)),flip(a)]. given #12916 (H,wt=22): 14152 T(x,(K(y,z) * u) \ w) != v5 | T(x,(u \ K(z,y)) * w) = v5. [para(14140(a,1),13820(a,1,2,1))]. given #12917 (H,wt=22): 14163 K(x,T(y,z \ K(u,w))) != v5 | K(x,T(y,K(w,u) * z)) = v5. [para(14147(a,1),8084(a,1,2,2))]. given #12918 (H,wt=23): 14111 ((x * y) / ((1 / x) \ y)) \ T(x * y,z) = T((1 / x) \ y,z). [hyper(13726,a,14089,a(flip)),flip(a)]. given #12919 (H,wt=23): 14146 K(x,y) * K(z \ 1,z * K(x,y)) = (z \ 1) * (K(x,y) * z). [para(14134(a,1),9021(a,1,2)),flip(a)]. given #12920 (H,wt=23): 14191 (L(x \ 1,y,z) \ 1) * (x \ 1) = L(x \ 1,y,z) \ (1 / x). [hyper(240,a,4584,a(flip),b,14184,a(flip)),flip(a)]. given #12921 (H,wt=23): 14195 (1 / K(x,x \ K(y,z))) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(4976(a,1),14194(a,1,2)),flip(a)]. given #12922 (H,wt=21): 14214 K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(4980(a,1),14195(a,1,1))]. given #12923 (H,wt=23): 14210 T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). [para(14200(a,1),13665(a,2,1))]. given #12924 (H,wt=19): 14215 T(x * K(y,z),x \ 1) = K(y,z) * ((x \ 1) \ 1). [hyper(240,a,7574,a(flip),b,14210,a)]. given #12925 (H,wt=17): 14216 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. [hyper(240,a,14204,a(flip),b,14215,a)]. given #12926 (H,wt=21): 14217 ((x \ 1) \ K(y,z)) * (x \ 1) = x \ ((x \ K(z,y)) \ 1). [hyper(73,a,14216,a(flip),b,863,a),flip(a)]. given #12927 (H,wt=19): 14218 x \ ((x \ K(y,z)) \ 1) = (x * K(z,y)) * (1 / x). [hyper(240,a,13690,a(flip),b,14217,a(flip))]. given #12928 (H,wt=21): 14219 K(x,x \ K(y,z)) * K(z,y) = (x * K(z,y)) * (1 / x). [hyper(240,a,13730,a,b,14218,a(flip)),flip(a)]. given #12929 (H,wt=24): 14166 L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). [para(40(a,2),14136(a,1,1))]. given #12930 (H,wt=24): 14170 K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. [para(14155(a,1),13799(a,1,2,2))]. given #12931 (H,wt=24): 14197 K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. [para(14194(a,1),14141(a,1,2))]. given #12932 (H,wt=24): 14198 (x * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. [para(4976(a,1),14160(a,1,1))]. given #12933 (H,wt=24): 14205 K(x / (K(y,z) * (u \ 1)),w) != v5 | K(x * (u * K(z,y)),w) = v5. [para(14202(a,1),13709(a,1,1,2))]. given #12934 (H,wt=21): 14221 K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). [hyper(14205,a,14150,a),flip(a)]. given #12935 (H,wt=24): 14206 K((K(x,y) * (z \ 1)) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. [para(14202(a,1),13969(a,1,1,1))]. given #12936 (H,wt=24): 14222 K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(14150(a,1),14205(a,1))]. given #12937 (H,wt=25): 14098 (x * L(x \ 1,y,z)) \ T(x,u) = (L(1 / x,y,z) \ 1) * K(x,u). [para(2382(a,1),14083(a,1,1)),flip(a)]. given #12938 (H,wt=23): 14224 (x * L(x \ 1,y,z)) \ T(x,u) = L(1 / x,y,z) \ K(x,u). [hyper(240,a,13577,a(flip),b,14098,a)]. given #12939 (H,wt=25): 14113 T(x,y) * K(z * K(x,y),x / z) = ((x / z) \ T(x,y)) * (x / z). [para(14089(a,1),263(a,1,2,1))]. given #12940 (H,wt=25): 14116 L(x,y,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). [para(14089(a,1),13046(a,1,3,1))]. given #12941 (H,wt=23): 14226 L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). [para(3998(a,1),14116(a,1,3))]. given #12942 (H,wt=25): 14124 ((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1) = y / (x * y). [hyper(240,a,5505,a,b,14122,a(flip)),flip(a)]. given #12943 (H,wt=25): 14187 ((x / y) * z) \ ((y \ x) * K(y,y \ x)) = ((y \ x) * z) \ (y \ x). [para(5354(a,1),14182(a,1,1)),flip(a)]. given #12944 (H,wt=19): 14227 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). [para(4813(a,1),14187(a,1,2))]. given #12945 (H,wt=23): 14228 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ (y / (x \ y)). [para(62(a,1),14227(a,1,1,1)),flip(a)]. given #12946 (H,wt=19): 14229 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. [para(62(a,1),14228(a,2,2))]. given #12947 (H,wt=25): 14211 (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. [para(14093(a,2),11281(a,1))]. given #12948 (H,wt=25): 14220 L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). [para(8613(a,1),14166(a,1,2,1))]. given #12949 (H,wt=27): 14159 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ (1 / (K(x,y) * z)). [para(14147(a,1),4940(a,1,1)),flip(a)]. given #12950 (H,wt=27): 14167 (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1) = (x \ ((y * (1 / x)) \ z)) \ 1. [para(4581(a,1),14155(a,1,1)),flip(a)]. given #12951 (H,wt=27): 14193 a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). [para(14188(a,2),13132(a,1,2,1))]. given #12952 (H,wt=25): 14233 a(x,T(T((y * z) / y,y \ z),y),u) = a(x,T(y,z) * (y \ z),u). [hyper(240,a,13138,a(flip),b,14193,a(flip)),flip(a)]. given #12953 (H,wt=19): 14234 a(x,T(y,z) * (y \ z),u) = a(x,T(z,y \ z),u). [para(212(a,1),14233(a,1,2)),flip(a)]. given #12954 (H,wt=17): 14236 a(x,T(y,z \ y),u) = a(x,K(z,y) * y,u). [para(4780(a,1),14234(a,1,2)),flip(a)]. given #12955 (H,wt=17): 14237 a(x,T(y,z \ y),u) = a(x,y * K(z,y),u). [para(4827(a,1),14234(a,1,2)),flip(a)]. given #12956 (H,wt=27): 14223 K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). [para(9935(a,1),14221(a,2,1,2))]. given #12957 (H,wt=27): 14232 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ ((1 / z) * K(y,x)). [para(14194(a,1),14159(a,2,2))]. given #12958 (H,wt=19): 14238 K(K(x,y) * z,(K(x,y) * z) \ 1) = K(z,z \ 1). [hyper(240,a,13694,a(flip),b,14232,a)]. given #12959 (H,wt=17): 14239 K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). [hyper(6171,a,14238,a)]. given #12960 (H,wt=28): 14119 K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). [para(14105(a,1),13948(a,1,2,1,1))]. given #12961 (H,wt=28): 14145 (K(x,y) * z) * T(z \ 1,u) != w * v5 | (K(x,y) * K(z \ 1,u)) / v5 = w. [para(14134(a,1),5982(a,1,1))]. given #12962 (H,wt=28): 14158 (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). [para(14147(a,1),203(a,2,3))]. given #12963 (H,wt=26): 14241 (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). [para(14147(a,1),14158(a,1,2))]. given #12964 (H,wt=28): 14213 L((x \ y) \ 1,x \ y,x) \ (1 / (x \ y)) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(352(a,1),14191(a,1,1,1)),flip(a)]. given #12965 (H,wt=21): 14243 ((x \ y) \ 1) * ((y \ x) \ 1) = (x \ y) \ (1 / (y \ x)). [para(352(a,1),14213(a,1,1)),flip(a)]. given #12966 (H,wt=28): 14242 ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1) = R(x,K(y,z) * z,z \ K(z,y)). [hyper(240,a,8857,a,b,14241,a(flip)),flip(a)]. given #12967 (H,wt=28): 14245 ((x * (y * K(z,y))) * K(y,z)) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). [para(3191(a,1),14242(a,1,1,1,2))]. given #12968 (H,wt=26): 14246 R(x,K(y,z) * z,z \ K(z,y)) = (x * (T(z,y) * K(y,z))) * (z \ 1). [para(10937(a,1),14245(a,1,1)),flip(a)]. given #12969 (H,wt=20): 14247 R(x,K(y,z) * z,z \ K(z,y)) = (x * z) * (z \ 1). [para(4759(a,1),14246(a,2,1,2))]. given #12970 (H,wt=19): 14248 R(x,K(y,z) * z,z \ K(z,y)) = R(x,z,z \ 1). [hyper(240,a,203,a(flip),b,14247,a)]. given #12971 (H,wt=19): 14249 R(x,y * K(z,y),y \ K(y,z)) = R(x,y,y \ 1). [para(3191(a,1),14248(a,1,2))]. given #12972 (H,wt=23): 14250 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y,y \ 1). [para(14249(a,1),5216(a,2,2))]. given #12973 (H,wt=21): 14251 a(x,y * K(z,y),(y * K(z,y)) \ 1) = a(x,y,y \ 1). [hyper(240,a,678,a(flip),b,14250,a)]. given #12974 (H,wt=19): 14253 a(x,y * K(z,y),y \ K(y,z)) = a(x,y,y \ 1). [para(5119(a,1),14251(a,1,3))]. given #12975 (H,wt=19): 14254 a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). [hyper(240,a,14237,a,b,14253,a(flip)),flip(a)]. given #12976 (H,wt=29): 14230 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = ((y * (x \ 1)) \ y) \ ((x \ 1) \ 1). [para(2177(a,1),14229(a,1,1)),flip(a)]. given #12977 (H,wt=29): 14255 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (1 / ((y * (x \ 1)) \ y)). [hyper(240,a,6740,a(flip),b,14230,a)]. given #12978 (H,wt=29): 14256 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (((y * (1 / x)) \ y) \ 1). [para(2553(a,1),14255(a,2,2))]. given #12979 (H,wt=27): 14257 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (x * (x \ ((y * (1 / x)) \ y))) \ x. [para(4596(a,1),14256(a,1,1,2)),flip(a)]. given #12980 (H,wt=23): 14258 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. [hyper(240,a,304,a(flip),b,14257,a)]. given #12981 (H,wt=31): 14209 (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14196(a,2),5764(a,1,2))]. given #12982 (H,wt=27): 14260 (K(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). [para(7563(a,1),14209(a,1,2))]. given #12983 (H,wt=33): 13746 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13727(a,1),10455(a,1,1,1,2))]. given #12984 (H,wt=31): 14261 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10882(a,1),13746(a,1,1,1,2))]. given #12985 (H,wt=27): 14262 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10189(a,1),14261(a,1,1,1)),flip(a)]. given #12986 (H,wt=27): 14263 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2883(a,2),14262(a,1,2,2,1))]. given #12987 (H,wt=23): 14264 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(65(a,1),14263(a,1,2,2))]. given #12988 (H,wt=19): 14266 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10612(a,1),14264(a,1,2))]. given #12989 (H,wt=19): 14267 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(14266(a,2),62(a,1,2))]. given #12990 (H,wt=33): 14165 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(6630(a,1),14128(a,2,2))]. given #12991 (H,wt=34): 13839 a(x,y,K((z \ x) * y,z)) \ (K((z \ x) * y,z) * (x * y)) = x * (y * K((z \ x) * y,z)). [hyper(73,a,11650,a,b,13825,a)]. given #12992 (H,wt=34): 13981 ((T(x,y) * (K(z,x) * u)) * w) / a(z,T(x,y) * u,K(w,x)) = K(z,x) * ((T(x,y) * u) * w). [para(9554(a,2),13567(a,1,1,1))]. given #12993 (H,wt=34): 14231 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(z,z \ 1,x) * (1 / z)). [para(14220(a,1),11864(a,2,2))]. given #12994 (H,wt=33): 14269 (L(T(x,y),x \ 1,z) * (z \ (z * (K(y,x) / x)))) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(11386(a,1),14231(a,1,1,1))]. given #12995 (H,wt=29): 14271 (L(T(x,y),x \ 1,z) * (K(y,x) / x)) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(13(a,1),14269(a,1,1,2))]. given #12996 (H,wt=25): 14273 x / (L(y,y \ 1,z) * (1 / y)) = (L(y,y \ 1,z) * (1 / y)) \ x. [para(14220(a,1),14271(a,1,1)),flip(a)]. given #12997 (H,wt=35): 14005 (x * (y * K(x * (z \ y),z))) * K(K(x * (z \ y),z),x * y) = K(x * (z \ y),z) * (x * y). [para(13873(a,1),98(a,1,1))]. given #12998 (H,wt=35): 14212 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(14097(a,1),10637(a,1,1))]. given #12999 (H,wt=35): 14275 (x * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * (z \ y))) = K(x * (z \ y),z) * (x * y). [para(7488(a,1),14005(a,1,2))]. given #13000 (H,wt=36): 13557 (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(13544(a,2),189(a,1,1))]. given #13001 (H,wt=29): 14276 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). [para(13543(a,1),13557(a,2,1))]. given #13002 (H,wt=36): 14225 (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(14224(a,1),11586(a,1,1))]. given #13003 (H,wt=29): 14277 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(L(1 / y,z,u) \ 1,x). [hyper(240,a,14103,a(flip),b,14225,a(flip))]. given #13004 (H,wt=29): 14278 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K((1 / y) \ 1,L(x,z,u)). [para(11255(a,1),14277(a,2,2))]. given #13005 (H,wt=25): 14279 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),14278(a,2,2,1))]. given #13006 (H,wt=21): 14280 K(x,T(y * L(y \ 1,z,u),T(y,x))) = a(y,z,K(u,x)). [hyper(240,a,13602,a(flip),b,14279,a)]. given #13007 (H,wt=19): 14282 K(x,T(y * L(y \ 1,z,u),y)) = a(y,z,K(u,x)). [hyper(240,a,7004,a(flip),b,14280,a(flip)),flip(a)]. given #13008 (H,wt=17): 14283 K(x,y * L(y \ 1,z,u)) = a(y,z,K(u,x)). [para(1696(a,1),14282(a,1,2))]. given #13009 (H,wt=17): 14284 K(x,a(y,z,u \ 1) \ 1) = a(u,z,K(y,x)). [hyper(13211,a,14283,a)]. given #13010 (H,wt=17): 14285 a(x \ 1,y,K(z,u)) = K(u,a(z,y,x) \ 1). [para(4701(a,1),14284(a,1,2,1)),flip(a)]. given #13011 (H,wt=15): 14286 K(x,a(y,z,u) \ 1) = a(y,z,K(u,x)). [hyper(13889,a,14285,a),flip(a)]. given #13012 (H,wt=36): 14274 ((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(14273(a,1),9930(a,1,1))]. given #13013 (H,wt=37): 13763 K(x,L(L(y,z,u) * (y \ w),y \ w,L((y \ w) \ w,z,u))) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [para(605(a,1),13634(a,1,2,1))]. given #13014 (H,wt=37): 14208 ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14203(a,1),14058(a,1,1))]. given #13015 (H,wt=35): 14287 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14203(a,1),14208(a,1,2,2))]. given #13016 (H,wt=37): 14268 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6286(a,1),14165(a,1,1))]. given #13017 (H,wt=23): 14288 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12358(a,1),14268(a,1,2))]. given #13018 (H,wt=19): 14289 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(240,a,6305,a(flip),b,14288,a(flip)),flip(a)]. given #13019 (H,wt=19): 14290 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(240,a,6624,a(flip),b,14289,a)]. given #13020 (H,wt=19): 14291 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(240,a,11983,a(flip),b,14290,a(flip))]. given #13021 (H,wt=19): 14292 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(14290(a,1),65(a,1,1))]. given #13022 (H,wt=25): 14296 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(14292(a,1),4565(a,1,2,1))]. given #13023 (H,wt=25): 14297 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(240,a,6624,a(flip),b,14296,a)]. given #13024 (H,wt=25): 14298 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(14291(a,1),14297(a,1,1))]. given #13025 (H,wt=25): 14299 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(240,a,11984,a,b,14298,a(flip)),flip(a)]. given #13026 (H,wt=23): 14300 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6059(a,1),14299(a,1,1))]. given #13027 (H,wt=21): 14301 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(240,a,5507,a(flip),b,14300,a(flip))]. given #13028 (H,wt=19): 14302 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(240,a,9420,a(flip),b,14301,a(flip)),flip(a)]. given #13029 (H,wt=19): 14303 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(14302(a,1),65(a,1,1))]. given #13030 (H,wt=19): 14304 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(14303(a,1),2851(a,1,1))]. given #13031 (H,wt=27): 14305 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(14304(a,1),6677(a,1,2,1))]. given #13032 (H,wt=25): 14307 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(240,a,13842,a(flip),b,14305,a(flip))]. given #13033 (H,wt=23): 14308 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),14307(a,1,2)),flip(a)]. given #13034 (H,wt=23): 14309 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(240,a,6682,a(flip),b,14308,a)]. given #13035 (H,wt=19): 14310 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(11049,a,14309,a(flip)),flip(a)]. given #13036 (H,wt=19): 14311 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(240,a,8519,a(flip),b,14310,a)]. given #13037 (H,wt=19): 14312 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),14311(a,1,2,1,1,1)),flip(a)]. given #13038 (H,wt=17): 14313 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8789,a,14312,a),flip(a)]. given #13039 (H,wt=17): 14314 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(10315,a,14313,a)]. given #13040 (H,wt=17): 14315 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(240,a,9356,a(flip),b,14313,a(flip)),flip(a)]. given #13041 (H,wt=17): 14317 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),14315(a,1,2,1,1)),flip(a)]. given #13042 (H,wt=19): 14316 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(240,a,11537,a(flip),b,14314,a(flip))]. given #13043 (H,wt=27): 14306 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T((((y * z) \ y) \ 1) \ x,u)). [hyper(8520,a,14305,a),flip(a)]. given #13044 (H,wt=27): 14318 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(8707,a,14317,a)]. given #13045 (H,wt=23): 14320 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(240,a,8709,a(flip),b,14318,a(flip))]. given #13046 (H,wt=23): 14321 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7302,a,14320,a)]. given #13047 (H,wt=21): 14323 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(240,a,9819,a(flip),b,14321,a(flip))]. given #13048 (H,wt=23): 14325 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(122(a,1),14323(a,1,2,1,1,2))]. given #13049 (H,wt=26): 14326 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(240,a,8792,a(flip),b,14325,a(flip))]. given #13050 (H,wt=24): 14327 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8683,a,14326,a)]. given #13051 (H,wt=24): 14328 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(240,a,5523,a(flip),b,14327,a)]. given #13052 (H,wt=20): 14329 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),14328(a,2,2,1,1))]. given #13053 (H,wt=18): 14330 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(240,a,11718,a(flip),b,14329,a),flip(a)]. given #13054 (H,wt=26): 14332 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(14330(a,2),6354(a,1,1))]. given #13055 (H,wt=24): 14333 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(240,a,6356,a(flip),b,14332,a(flip)),flip(a)]. given #13056 (H,wt=27): 14319 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(14316(a,1),6354(a,1,1))]. given #13057 (H,wt=25): 14334 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(240,a,6354,a(flip),b,14319,a(flip))]. given #13058 (H,wt=25): 14335 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(240,a,13055,a(flip),b,14334,a(flip))]. given #13059 (H,wt=21): 14336 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),14335(a,2,2,2))]. given #13060 (H,wt=20): 14337 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(240,a,14333,a,b,14336,a(flip)),flip(a)]. given #13061 (H,wt=20): 14339 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12600(a,1),14337(a,1,1))]. given #13062 (H,wt=20): 14340 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12610,a,14339,a)]. given #13063 (H,wt=20): 14341 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(240,a,12600,a(flip),b,14340,a)]. given #13064 (H,wt=19): 14342 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(240,a,12639,a(flip),b,14341,a(flip))]. given #13065 (H,wt=17): 14344 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(240,a,13059,a(flip),b,14342,a(flip))]. given #13066 (H,wt=19): 14345 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14344(a,2),4809(a,2,1)),flip(a)]. given #13067 (H,wt=17): 14346 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4810,a,14345,a)]. given #13068 (H,wt=23): 14347 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(240,a,12985,a,b,14346,a),flip(a)]. given #13069 (H,wt=18): 14348 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(240,a,7052,a(flip),b,14347,a(flip)),flip(a)]. given #13070 (H,wt=21): 14349 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(240,a,12645,a,b,14348,a(flip)),flip(a)]. given #13071 (H,wt=21): 14352 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13559(a,1),14349(a,1,2))]. given #13072 (H,wt=38): 13851 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(13619(a,1),5471(a,1,2,2,2,1))]. given #13073 (H,wt=38): 14024 ((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(13999,a,2983,a),flip(a)]. given #13074 (H,wt=36): 14353 ((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(10725(a,1),14024(a,2,3))]. given #13075 (H,wt=34): 14354 (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(10725(a,1),14353(a,1,1))]. given #13076 (H,wt=34): 14355 (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(12596(a,1),14354(a,1,2))]. given #13077 (H,wt=34): 14356 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(240,a,12165,a(flip),b,14355,a(flip)),flip(a)]. given #13078 (H,wt=26): 14357 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5178(a,1),14356(a,1,2)),flip(a)]. given #13079 (H,wt=18): 14358 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(240,a,5178,a(flip),b,14357,a)]. given #13080 (H,wt=38): 14293 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = y \ (1 / ((z * y) \ z)). [hyper(240,a,398,a,b,14291,a(flip)),flip(a)]. given #13081 (H,wt=38): 14294 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). [para(14291(a,1),6625(a,2,3))]. given #13082 (H,wt=38): 14361 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). [para(14291(a,1),14293(a,1,2,3))]. given #13083 (H,wt=38): 14362 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [hyper(240,a,14192,a(flip),b,14294,a)]. given #13084 (H,wt=38): 14363 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). [para(14192(a,1),14361(a,1,2))]. given #13085 (H,wt=38): 14364 ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [para(14291(a,1),14362(a,1,2))]. given #13086 (H,wt=40): 13975 ((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(468(a,1),13913(a,1,2)),flip(a)]. given #13087 (H,wt=38): 14365 ((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(13975(a,2),764(a,1))]. given #13088 (H,wt=40): 14000 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(13998(a,1),2994(a,1,1,2))]. given #13089 (H,wt=40): 14295 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (1 / ((y * x) \ y))) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(14291(a,1),11775(a,1,2,2))]. given #13090 (H,wt=40): 14366 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (((y * x) \ y) \ 1)) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(4457(a,1),14295(a,1,2))]. given #13091 (H,wt=41): 13761 (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(401,a,13758,a(flip),b,11398,a),flip(a)]. given #13092 (H,wt=42): 14351 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(3407(a,2),14348(a,2,2,1))]. given #13093 (H,wt=42): 14367 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(11700(a,1),14351(a,1,1))]. given #13094 (H,wt=38): 14368 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),14367(a,1,1,2,1,2,1))]. given #13095 (H,wt=36): 14369 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(9833(a,1),14368(a,1,1))]. given #13096 (H,wt=36): 14370 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(240,a,10940,a(flip),b,14369,a(flip)),flip(a)]. given #13097 (H,wt=32): 14372 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),14370(a,1,2,2,1)),flip(a)]. given #13098 (H,wt=30): 14373 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(240,a,10473,a(flip),b,14372,a)]. given #13099 (H,wt=27): 14375 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(240,a,14348,a(flip),b,14373,a)]. given #13100 (H,wt=23): 14376 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),14375(a,2,2,1))]. given #13101 (H,wt=23): 14377 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3407(a,1),14376(a,1,2,1))]. given #13102 (H,wt=49): 13979 ((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(6149(a,1),13977(a,1,2,1)),flip(a)]. given #13103 (H,wt=47): 14378 ((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(13704(a,1),13979(a,2,2))]. given #13104 (H,wt=45): 14379 ((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(12781(a,1),14378(a,2,2))]. given #13105 (H,wt=43): 14380 ((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(13707(a,1),14379(a,2,2))]. given #13106 (H,wt=39): 14381 ((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),14380(a,2,2,1))]. given #13107 (H,wt=37): 14382 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * ((y * x) \ z)). [para(9559(a,1),14381(a,2,2))]. given #13108 (H,wt=33): 14383 ((x * y) * (1 / y)) * (z / ((1 / y) * (((x * y) \ x) \ x))) = z * K(x,y * ((x * y) \ z)). [para(6149(a,1),14382(a,1,1))]. given #13109 (H,wt=29): 14384 ((x * y) * (1 / y)) * (z / ((x * y) * (1 / y))) = z * K(x,y * ((x * y) \ z)). [para(6149(a,1),14383(a,1,2,2))]. given #13110 (H,wt=33): 14385 (x * (1 / y)) * (z / (((x / y) * y) * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). [para(16(a,1),14384(a,1,1,1))]. given #13111 (H,wt=29): 14386 x * K(y / z,z * (((y / z) * z) \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). [para(16(a,1),14385(a,1,2,2,1)),flip(a)]. given #13112 (H,wt=25): 14387 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (x \ z)). [para(16(a,1),14386(a,1,2,2,2,1)),flip(a)]. given #13113 (H,wt=25): 14389 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(y \ x,(x \ z) * y). [para(10272(a,1),14387(a,2,2))]. given #13114 (H,wt=52): 14038 (((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(14037(a,1),11602(a,1,1,1))]. given #13115 (H,wt=50): 14390 (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(12648(a,1),14038(a,1,1))]. given #13116 (H,wt=48): 14391 (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(14037(a,1),14390(a,1,2,2))]. given #13117 (H,wt=46): 14392 (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(8276(a,1),14391(a,1,2))]. given #13118 (H,wt=44): 14393 (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(5884(a,1),14392(a,1,2))]. given #13119 (H,wt=29): 14394 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14358(a,1),14393(a,1,2)),flip(a)]. given #13120 (H,wt=27): 14395 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14037(a,1),14394(a,1,1,1,1))]. given #13121 (H,wt=25): 14396 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12648(a,1),14395(a,1,1,1))]. given #13122 (H,wt=23): 14397 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14037(a,1),14396(a,1,1)),flip(a)]. given #13123 (H,wt=40): 14398 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(14397(a,1),9349(a,1,1))]. given #13124 (H,wt=38): 14399 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(9348(a,1),14398(a,1,2))]. given #13125 (H,wt=38): 14400 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(240,a,9462,a(flip),b,14399,a(flip)),flip(a)]. given #13126 (H,wt=36): 14401 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(4782(a,1),14400(a,1,2))]. given #13127 (H,wt=25): 14402 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(240,a,12253,a(flip),b,14401,a(flip))]. given #13128 (H,wt=52): 14244 ((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(401,a,9888,a,b,14243,a),flip(a)]. given #13129 (H,wt=50): 14405 ((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(678(a,1),14244(a,2,2,1))]. given #13130 (H,wt=41): 14406 ((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(240,a,9884,a(flip),b,14405,a)]. given #13131 (H,wt=39): 14408 (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(678(a,1),14406(a,1,1,1))]. given #13132 (H,wt=37): 14409 (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(678(a,1),14408(a,1,2,1,2))]. given #13133 (H,wt=37): 14410 (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(12465(a,1),14409(a,1,2,1))]. given #13134 (H,wt=37): 14411 (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(9888(a,1),14410(a,1,2))]. given #13135 (H,wt=55): 14404 (((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(14402(a,1),12449(a,1,1))]. given #13136 (H,wt=47): 14412 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(5882(a,1),14404(a,1,1,1)),flip(a)]. given #13137 (H,wt=43): 14413 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(5297(a,1),14412(a,2,2))]. given #13138 (H,wt=43): 14414 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(5766(a,1),14413(a,2,2))]. given #13139 (H,wt=41): 14415 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(10868(a,1),14414(a,2,2))]. given #13140 (H,wt=37): 14416 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),14415(a,2,2,1))]. given #13141 (H,wt=35): 14417 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(240,a,5929,a(flip),b,14416,a)]. given #13142 (H,wt=33): 14419 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(240,a,8686,a(flip),b,14417,a)]. given #13143 (H,wt=33): 14420 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5571(a,1),14419(a,1,1,1))]. given #13144 (H,wt=31): 14421 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14402(a,1),14420(a,1,1))]. given #13145 (H,wt=23): 14422 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5882(a,1),14421(a,1,1,1))]. given #13146 (H,wt=19): 14423 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(240,a,4420,a(flip),b,14422,a(flip)),flip(a)]. given #13147 (H,wt=19): 14424 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4192(a,1),14423(a,2,1))]. given #13148 (H,wt=29): 14425 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13170(a,1),14424(a,2,2))]. given #13149 (H,wt=25): 14426 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13170(a,1),14425(a,1,1,1))]. given #13150 (H,wt=21): 14427 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(240,a,14352,a(flip),b,14426,a)]. given #13151 (H,wt=21): 14428 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12477(a,1),14427(a,1,1))]. given #13152 (H,wt=21): 14429 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13631(a,2),14428(a,1,1))]. given #13153 (H,wt=21): 14430 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4205,a,14429,a)]. given #13154 (H,wt=17): 14431 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(240,a,13417,a(flip),b,14430,a(flip))]. given #13155 (H,wt=23): 14432 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(240,a,14377,a(flip),b,14431,a(flip))]. given #13156 (H,wt=21): 14433 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(10745(a,1),14432(a,1,2,1))]. given #13157 (H,wt=21): 14434 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(240,a,13419,a(flip),b,14433,a(flip)),flip(a)]. given #13158 (H,wt=17): 14435 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4752(a,2),14434(a,1,2,1,2))]. given #13159 (H,wt=13): 14436 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(136(a,1),14435(a,1,2,1)),flip(a)]. given #13160 (H,wt=15): 14438 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(73,a,14436,a(flip),b,4800,a(flip))]. given #13161 (H,wt=13): 14442 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4860,a,14438,a),flip(a)]. given #13162 (H,wt=13): 14444 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12598,a,14442,a)]. given #13163 (H,wt=13): 14445 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(240,a,11248,a,b,14442,a),flip(a)]. given #13164 (H,wt=13): 14446 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(240,a,12600,a,b,14442,a(flip)),flip(a)]. given #13165 (H,wt=13): 14456 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(240,a,11248,a,b,14444,a)]. given #13166 (H,wt=13): 14463 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(240,a,11309,a,b,14446,a)]. given #13167 (H,wt=15): 14453 1 / K(x,L(y,z,u)) = K(R(y,z,u),x). [para(14442(a,1),4980(a,1,2))]. given #13168 (H,wt=16): 14443 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(14438(a,1),4860(a,1))]. given #13169 (H,wt=16): 14474 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(14463(a,1),10578(a,1))]. given #13170 (H,wt=16): 14476 L(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. [para(6271(a,1),14474(a,1))]. given #13171 (H,wt=17): 14458 K(x,L(y \ 1,z,u)) = K(x,R(y,z,u) \ 1). [hyper(240,a,6424,a(flip),b,14444,a(flip))]. given #13172 (H,wt=17): 14467 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(240,a,5634,a(flip),b,14456,a(flip))]. given #13173 (H,wt=17): 14477 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(240,a,11261,a(flip),b,14458,a(flip))]. given #13174 (H,wt=17): 14479 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(5798,a,14467,a),flip(a)]. given #13175 (H,wt=18): 14439 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(238(a,1),14436(a,1,2)),flip(a)]. given #13176 (H,wt=18): 14448 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(119(a,1),14442(a,1,2)),flip(a)]. given #13177 (H,wt=18): 14449 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(238(a,1),14442(a,1,2)),flip(a)]. given #13178 (H,wt=18): 14459 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14444(a,1),118(a,1,1))]. given #13179 (H,wt=18): 14464 K((x * y) / (z * y),u) = K(x / z,L(u,z,y)). [para(119(a,1),14446(a,1,1))]. given #13180 (H,wt=18): 14465 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(238(a,1),14446(a,1,1)),flip(a)]. given #13181 (H,wt=18): 14466 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(240,a,6358,a(flip),b,14456,a(flip))]. given #13182 (H,wt=18): 14468 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14456(a,1),118(a,1,1))]. given #13183 (H,wt=15): 14494 (K(x,y) * z) * z = K(x,y) * (z * z). [para(13503(a,1),14468(a,1,1)),flip(a)]. given #13184 (H,wt=15): 14495 K(x,y) * (z * z) = z * (z * K(x,y)). [hyper(240,a,12841,a(flip),b,14494,a(flip))]. given #13185 (H,wt=18): 14469 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(14456(a,1),148(a,1,1))]. given #13186 (H,wt=18): 14471 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(119(a,1),14463(a,1,1)),flip(a)]. given #13187 (H,wt=18): 14472 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(238(a,1),14463(a,1,1)),flip(a)]. given #13188 (H,wt=19): 14455 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(240,a,13530,a,b,14444,a),flip(a)]. given #13189 (H,wt=19): 14500 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(13530(a,2),14455(a,2,1))]. given #13190 (H,wt=20): 14450 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(625(a,1),14442(a,1,2)),flip(a)]. given #13191 (H,wt=20): 14457 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(240,a,11001,a(flip),b,14444,a(flip))]. given #13192 (H,wt=18): 14502 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(13943,a,14457,a)]. given #13193 (H,wt=20): 14460 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14444(a,1),10048(a,1,1))]. given #13194 (H,wt=20): 14462 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(491(a,1),14445(a,2,2))]. given #13195 (H,wt=21): 14487 (K(x,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. [para(14459(a,1),20(a,1))]. given #13196 (H,wt=21): 14490 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(240,a,11313,a(flip),b,14464,a),flip(a)]. given #13197 (H,wt=21): 14492 (K(x,y) * z) * u != w * (z * u) | L(K(x,y),z,u) = w. [para(14468(a,1),20(a,1))]. given #13198 (H,wt=21): 14501 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(463(a,1),14450(a,1,2)),flip(a)]. given #13199 (H,wt=21): 14506 x * (y * K(z,T(u,x * y))) = (K(z,u) * y) * T(x,y). [hyper(240,a,11272,a,b,14460,a(flip)),flip(a)]. given #13200 (H,wt=22): 14440 T(x,R((y * z) \ y,u,w)) = T(x,L(L(z \ 1,u,w),z,y)). [para(359(a,2),14436(a,2,2))]. given #13201 (H,wt=22): 14451 K(x,L(T(y / z,z * u),z,u)) = K(x,(z * u) \ (y * u)). [para(850(a,1),14442(a,1,2)),flip(a)]. given #13202 (H,wt=22): 14488 K(x,L(y,y \ z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(5078(a,1),14459(a,2,1))]. given #13203 (H,wt=22): 14489 K((x * y) / ((z \ 1) * y),u) = K(x * z,L(u,z \ 1,y)). [hyper(240,a,13705,a(flip),b,14464,a)]. given #13204 (H,wt=22): 14493 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(6652(a,1),14468(a,1,1))]. given #13205 (H,wt=22): 14496 (x * (x * K(y,z))) \ ((K(y,z) * x) * x) = a(K(y,z),x,x). [para(14495(a,1),24(a,2,1)),flip(a)]. given #13206 (H,wt=22): 14509 T(x,L(L(y \ 1,z,u),y,w)) = T(x,L((w * y) \ w,z,u)). [hyper(240,a,14436,a(flip),b,14440,a(flip))]. given #13207 (H,wt=22): 14513 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = a(K(y,z),x,x). [para(14494(a,1),14496(a,1,2))]. given #13208 (H,wt=14): 14514 K(x,K(y,z * z)) = a(K(x,y),z,z). [hyper(13558,a,14513,a)]. given #13209 (H,wt=9): 14515 K(x,K(y,z * z)) = 1. [hyper(240,a,13499,a(flip),b,14514,a)]. given #13210 (H,wt=23): 14452 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(14442(a,1),480(a,1,2))]. given #13211 (H,wt=20): 14517 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13593(a,1),14452(a,1,2))]. given #13212 (H,wt=19): 14518 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6161,a,14517,a)]. given #13213 (H,wt=19): 14519 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(240,a,11648,a,b,14518,a(flip)),flip(a)]. given #13214 (H,wt=15): 14522 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(6422,a,14519,a)]. given #13215 (H,wt=17): 14524 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(4813(a,1),14522(a,1,1))]. given #13216 (H,wt=19): 14520 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(73,a,14518,a(flip),b,11648,a),flip(a)]. given #13217 (H,wt=16): 14526 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(240,a,108,a,b,14520,a)]. given #13218 (H,wt=20): 14525 a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. [para(14524(a,1),13826(a,1,1))]. given #13219 (H,wt=23): 14480 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [hyper(240,a,13677,a,b,14477,a),flip(a)]. given #13220 (H,wt=23): 14508 (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). [para(7028(a,1),14506(a,1,2)),flip(a)]. given #13221 (H,wt=21): 14529 x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). [para(7611(a,1),14508(a,1,1)),flip(a)]. given #13222 (H,wt=24): 14441 T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,y / (w * K(u,z))). [para(7115(a,1),14436(a,1,2)),flip(a)]. given #13223 (H,wt=24): 14470 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14456(a,1),14014(a,1,1))]. given #13224 (H,wt=24): 14485 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14449(a,1),8616(a,2,2))]. given #13225 (H,wt=24): 14497 K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(14471(a,1),8086(a,1))]. given #13226 (H,wt=24): 14498 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(5183(a,2),14472(a,2,1,2))]. given #13227 (H,wt=24): 14504 K(x,L(T(y / z,u) / u,y,z)) = K(x,y / (T(u,y / z) * z)). [para(3954(a,2),14502(a,1,2,1))]. given #13228 (H,wt=22): 14533 K(x,y / (T(z,y / u) * u)) = K(x,L(z \ (y / u),y,u)). [hyper(12783,a,14504,a),flip(a)]. given #13229 (H,wt=24): 14507 L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). [para(4959(a,1),14462(a,1,1))]. given #13230 (H,wt=21): 14534 K((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). [hyper(5991,a,14507,a)]. given #13231 (H,wt=21): 14535 K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). [hyper(240,a,7672,a(flip),b,14534,a)]. given #13232 (H,wt=19): 14536 K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). [hyper(5597,a,14535,a)]. given #13233 (H,wt=24): 14530 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6669,a,14470,a)]. given #13234 (H,wt=24): 14532 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(7094(a,1),14498(a,1,1,1))]. given #13235 (H,wt=24): 14537 x * K(y \ z,z \ (x * y)) != u | (z / y) * (x / (z / y)) = u. [para(14536(a,1),5138(a,1,2))]. given #13236 (H,wt=25): 14478 K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. [para(14458(a,2),6486(a,1))]. given #13237 (H,wt=20): 14539 K(x,L(y / z,y,y \ u)) = K(x,u / (z * (y \ u))). [hyper(14478,a,11409,a),flip(a)]. given #13238 (H,wt=25): 14503 K(x,R(y,y \ z,u)) = K(x,L(((z * u) / u) / (y \ z),z * u,u)). [para(115(a,2),14502(a,2,2)),flip(a)]. given #13239 (H,wt=21): 14540 K(x,R(y,y \ z,u)) = K(x,L(z / (y \ z),z * u,u)). [para(15(a,1),14503(a,2,2,1,1))]. given #13240 (H,wt=17): 14541 K(x,R(y,y \ z,u)) = K(x,L(y,z * u,u)). [para(62(a,1),14540(a,2,2,1))]. given #13241 (H,wt=17): 14542 K(x,L(y,y \ z,u)) = K(x,L(y,z * u,u)). [hyper(14443,a,14541,a)]. given #13242 (H,wt=15): 14543 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [hyper(11287,a,14542,a),flip(a)]. given #13243 (H,wt=25): 14544 K((x * y) \ (y \ z),L(u,x,y)) != w | K((y * (x * y)) \ z,u) = w. [para(14543(a,1),11395(a,1))]. given #13244 (H,wt=26): 14483 T(x,L((y / z) / T(u,z),T(u,z),z)) = T(x,y / (u * ((u * z) / u))). [para(4120(a,1),14439(a,2,2,2))]. given #13245 (H,wt=21): 14545 T(x,y / (T(z,u) * u)) = T(x,y / (z * ((z * u) / z))). [hyper(240,a,14439,a(flip),b,14483,a(flip)),flip(a)]. given #13246 (H,wt=26): 14512 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(10204(a,1),14493(a,1,1,2,2))]. given #13247 (H,wt=26): 14521 R(x,y,z) * T(y * z,x) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(14518(a,2),517(a,1))]. given #13248 (H,wt=26): 14531 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13708(a,1),14485(a,1,2))]. given #13249 (H,wt=27): 14475 K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. [para(725(a,1),14443(a,1,2))]. given #13250 (H,wt=28): 14481 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(725(a,1),14477(a,1,2,1)),flip(a)]. given #13251 (H,wt=28): 14484 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,z / (w * u))) * v5). [para(14439(a,1),7171(a,1,2,1,2)),flip(a)]. given #13252 (H,wt=28): 14528 a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. [para(9596(a,1),14525(a,1,1,1))]. given #13253 (H,wt=28): 14546 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(8394(a,1),14512(a,1,1))]. given #13254 (H,wt=26): 14548 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [hyper(544,a,14546,a)]. given #13255 (H,wt=28): 14547 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(240,a,6977,a(flip),b,14481,a)]. given #13256 (H,wt=26): 14549 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(240,a,9467,a(flip),b,14547,a)]. given #13257 (H,wt=23): 14550 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6168,a,14549,a),flip(a)]. given #13258 (H,wt=29): 14473 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(14463(a,1),8053(a,1))]. given #13259 (H,wt=30): 14454 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14442(a,1),9429(a,1,2))]. given #13260 (H,wt=30): 14505 K(x,L((y / (z \ u)) / K(w,w \ z),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(9610(a,1),14502(a,2,2,2))]. given #13261 (H,wt=30): 14553 K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(7094(a,1),14505(a,1,2,1))]. given #13262 (H,wt=31): 14491 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(240,a,7033,a(flip),b,14466,a(flip)),flip(a)]. given #13263 (H,wt=31): 14538 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(240,a,9259,a,b,14530,a(flip)),flip(a)]. given #13264 (H,wt=24): 14554 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11789(a,1),14538(a,1,1))]. given #13265 (H,wt=24): 14555 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7560(a,1),14554(a,1,1,2))]. given #13266 (H,wt=25): 14556 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13307,a,14555,a)]. given #13267 (H,wt=29): 14557 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7854(a,2),14556(a,1,2,2))]. given #13268 (H,wt=29): 14558 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(10688(a,2),14557(a,1,2))]. given #13269 (H,wt=31): 14551 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(240,a,12814,a(flip),b,14550,a)]. given #13270 (H,wt=27): 14560 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),14551(a,1,2,1,2))]. given #13271 (H,wt=33): 14523 ((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(6988(a,1),14519(a,1,1,1))]. given #13272 (H,wt=33): 14559 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(7918(a,2),14558(a,1,2,2,2))]. given #13273 (H,wt=35): 14447 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(240,a,14212,a(flip),b,14442,a(flip))]. given #13274 (H,wt=35): 14486 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(401,a,10163,a,b,14459,a(flip)),flip(a)]. given #13275 (H,wt=35): 14562 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(7451(a,1),14486(a,1,2,1,1))]. given #13276 (H,wt=39): 14437 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(240,a,13348,a(flip),b,14436,a(flip))]. given #13277 (H,wt=28): 14563 T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(13788,a,14437,a)]. given #13278 (H,wt=24): 14564 T(x * (a(y,z,u) \ 1),x) = T(x * (1 / a(y,z,u)),a(y,z,u)). [hyper(240,a,2519,a(flip),b,14563,a)]. given #13279 (H,wt=24): 14565 T(x * (a(y,z,u) \ 1),a(y,z,u)) = T(x * (a(y,z,u) \ 1),x). [para(12465(a,1),14564(a,2,1,2)),flip(a)]. given #13280 (H,wt=40): 14499 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(6661(a,1),14472(a,2,1,2))]. given #13281 (H,wt=38): 14566 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(11259(a,1),14499(a,1,1,1,1,2))]. given #13282 (H,wt=38): 14567 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(7094(a,1),14566(a,1,1,1,1))]. given #13283 (H,wt=38): 14568 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(11309(a,1),14567(a,1,1,1,1,2))]. given #13284 (H,wt=40): 14511 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(8875(a,1),14489(a,1,1,1))]. given #13285 (H,wt=40): 14569 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(7560(a,1),14511(a,1,1,1))]. given #13286 (H,wt=38): 14570 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(13577(a,1),14569(a,1,1,2))]. given #13287 (H,wt=41): 14510 K(x,L(T((y * (z * u)) / (y * z),(y * z) * u),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). [para(670(a,2),14451(a,2,2))]. given #13288 (H,wt=41): 14552 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(5764(a,1),14550(a,2,2,1))]. given #13289 (H,wt=33): 14571 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),14552(a,1,2,1,2))]. given #13290 (H,wt=41): 14561 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(7042(a,2),14559(a,1,2,2))]. given #13291 (H,wt=21): 14572 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5538(a,2),14561(a,1,2))]. given #13292 (H,wt=21): 14575 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(u,z) * y). [para(14572(a,1),14(a,1,2)),flip(a)]. given #13293 (H,wt=21): 14576 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7560(a,1),14572(a,1,2,1,2))]. given #13294 (H,wt=21): 14581 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(z,u) * y). [para(7560(a,1),14575(a,1,1,2))]. given #13295 (H,wt=21): 14583 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(7578,a,14581,a)]. given #13296 (H,wt=15): 14584 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(17,a,14575,a(flip),b,14583,a(flip))]. given #13297 (H,wt=17): 14585 T(x,K(y,z * y) * u) = T(x,K(z,y) * u). [hyper(240,a,12746,a,b,14584,a),flip(a)]. given #13298 (H,wt=17): 14586 T(x,K(y,y \ z) * u) = T(x,K(z,y) * u). [hyper(240,a,12772,a(flip),b,14584,a)]. given #13299 (H,wt=17): 14587 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(73,a,14584,a,b,4800,a(flip))]. given #13300 (H,wt=15): 14593 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4860,a,14587,a)]. given #13301 (H,wt=15): 14598 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5183(a,2),14593(a,1,2))]. given #13302 (H,wt=17): 14589 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4815(a,1),14584(a,1,2)),flip(a)]. given #13303 (H,wt=17): 14590 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5078(a,1),14584(a,1,2)),flip(a)]. given #13304 (H,wt=17): 14592 T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). [para(13510(a,1),14584(a,1,2)),flip(a)]. given #13305 (H,wt=17): 14595 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(12787,a,14593,a),flip(a)]. given #13306 (H,wt=17): 14597 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5078(a,1),14593(a,1,2)),flip(a)]. given #13307 (H,wt=17): 14603 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5353(a,1),14589(a,1,2))]. given #13308 (H,wt=15): 14606 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(177(a,1),14603(a,1,2,1)),flip(a)]. given #13309 (H,wt=17): 14604 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). [para(5325(a,1),14590(a,1,2)),flip(a)]. given #13310 (H,wt=17): 14605 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5058(a,2),14597(a,1,2))]. given #13311 (H,wt=18): 14594 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(14587(a,1),4860(a,1))]. given #13312 (H,wt=19): 14588 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(122(a,1),14584(a,1,2)),flip(a)]. given #13313 (H,wt=15): 14612 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7570(a,1),14588(a,1,2))]. given #13314 (H,wt=17): 14613 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(14612(a,1),4750(a,2,2)),flip(a)]. given #13315 (H,wt=17): 14614 T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). [para(7104(a,1),14612(a,1,2)),flip(a)]. given #13316 (H,wt=17): 14616 T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). [para(6066(a,2),14614(a,1,2))]. given #13317 (H,wt=18): 14615 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(14613(a,1),4833(a,1))]. given #13318 (H,wt=19): 14591 T(x,K(y,z) * ((z * y) \ u)) = T(x,(y * z) \ u). [para(9603(a,1),14584(a,1,2)),flip(a)]. given #13319 (H,wt=17): 14621 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [para(10444(a,1),14591(a,1,2))]. given #13320 (H,wt=19): 14608 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(10319,a,14606,a),flip(a)]. given #13321 (H,wt=15): 14622 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(10294,a,14608,a),flip(a)]. given #13322 (H,wt=17): 14623 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(176(a,1),14622(a,1,2,2,1)),flip(a)]. given #13323 (H,wt=19): 14618 K(x,y / ((z * u) / z)) = x \ T(x,y / T(u,z)). [hyper(73,a,14616,a(flip),b,4800,a(flip)),flip(a)]. given #13324 (H,wt=19): 14624 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14623(a,1),4750(a,2,2))]. given #13325 (H,wt=17): 14627 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(240,a,4750,a,b,14624,a)]. given #13326 (H,wt=20): 14601 K(x,K(y,y \ z) * u) != w | K(x,K(z,y) * u) = w. [para(14593(a,1),12787(a,1))]. given #13327 (H,wt=20): 14610 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4181(a,1),14605(a,1,2,1))]. given #13328 (H,wt=17): 14629 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(240,a,13258,a(flip),b,14610,a(flip))]. given #13329 (H,wt=17): 14631 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),14629(a,1,2,1,1)),flip(a)]. given #13330 (H,wt=19): 14632 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [hyper(240,a,12802,a(flip),b,14631,a)]. given #13331 (H,wt=17): 14633 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(177(a,1),14632(a,1,2,1,2)),flip(a)]. given #13332 (H,wt=20): 14620 K(x * K(y,y \ z),u) != w | K(x * K(z,y),u) = w. [para(12735(a,2),14615(a,1))]. given #13333 (H,wt=20): 14626 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(14618(a,2),4860(a,1))]. given #13334 (H,wt=21): 14599 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7220(a,1),14593(a,1,2)),flip(a)]. given #13335 (H,wt=21): 14609 K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). [para(14604(a,2),8035(a,1,2))]. given #13336 (H,wt=23): 14573 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [hyper(240,a,12772,a,b,14572,a)]. given #13337 (H,wt=23): 14574 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [hyper(240,a,12767,a,b,14572,a)]. given #13338 (H,wt=24): 14579 T(x * T(y,K(z,u)),K(z,u)) != y * w | T(x,K(u,z) * y) = w. [para(14575(a,2),19(a,1))]. given #13339 (H,wt=24): 14580 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(14575(a,2),241(a,1,2)),flip(b)]. given #13340 (H,wt=20): 14636 T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. [para(14573(a,1),14580(a,1))]. given #13341 (H,wt=20): 14637 T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. [para(14574(a,1),14580(a,1))]. given #13342 (H,wt=20): 14638 T(x,K(y,z) * u) != w | T(x,K(z * y,z) * u) = w. [para(13(a,1),14636(a,1,2,1,1))]. given #13343 (H,wt=20): 14639 T(x,K(y,z) * u) != w | T(x,K(z \ y,z) * u) = w. [para(14(a,1),14637(a,1,2,1,1))]. given #13344 (H,wt=20): 14640 T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. [para(6469(a,2),14637(a,1,2,1))]. given #13345 (H,wt=20): 14642 T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. [para(14584(a,1),14640(a,1))]. given #13346 (H,wt=18): 14643 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(12746(a,1),14642(a,1))]. given #13347 (H,wt=20): 14645 T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. [para(12745(a,2),14643(a,1))]. given #13348 (H,wt=20): 14646 T(x,K(y,z * y) * u) != w | T(x,K(y,z) * u) = w. [para(14585(a,2),14643(a,1))]. given #13349 (H,wt=24): 14641 T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. [para(11028(a,2),14637(a,1,2,1))]. given #13350 (H,wt=24): 14644 T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. [para(5530(a,1),14643(a,1,2))]. given #13351 (H,wt=25): 14577 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * T(x,K(y,z))). [para(7562(a,1),14572(a,1,2,1,2))]. given #13352 (H,wt=21): 14647 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(240,a,14588,a(flip),b,14577,a)]. given #13353 (H,wt=25): 14578 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). [para(8002(a,1),14572(a,1,2,1,2))]. given #13354 (H,wt=23): 14648 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [para(8002(a,1),14578(a,1,2))]. given #13355 (H,wt=17): 14649 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(14580,a,14648,a),flip(a)]. given #13356 (H,wt=19): 14650 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(73,a,14649,a(flip),b,4800,a(flip)),flip(a)]. given #13357 (H,wt=17): 14651 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(240,a,4753,a,b,14650,a)]. given #13358 (H,wt=17): 14652 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(14594,a,14651,a)]. given #13359 (H,wt=19): 14655 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6111(a,1),14652(a,1,2,1)),flip(a)]. given #13360 (H,wt=17): 14657 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(12787,a,14655,a),flip(a)]. given #13361 (H,wt=19): 14658 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(240,a,14597,a(flip),b,14657,a(flip)),flip(a)]. given #13362 (H,wt=17): 14661 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5078(a,1),14658(a,2,2))]. given #13363 (H,wt=20): 14660 K(x,K(y,z \ y) * u) != w | K(x,K(y,z) * u) = w. [para(14657(a,2),14594(a,1))]. given #13364 (H,wt=21): 14653 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5044(a,1),14651(a,1,2)),flip(a)]. given #13365 (H,wt=25): 14602 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). [hyper(240,a,14572,a,b,14589,a(flip)),flip(a)]. given #13366 (H,wt=25): 14635 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(y * x) \ z). [para(14633(a,1),10354(a,2,2))]. given #13367 (H,wt=25): 14659 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7220(a,1),14657(a,1,2))]. given #13368 (H,wt=23): 14664 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(240,a,14599,a(flip),b,14659,a)]. given #13369 (H,wt=21): 14665 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9682(a,1),14664(a,1,2))]. given #13370 (H,wt=26): 14663 (T(x,y) * y) * (z / (T(x,y) * y)) != u | (y * x) * (z / (y * x)) = u. [para(14635(a,2),5138(a,1))]. given #13371 (H,wt=27): 14600 K(x,K(y \ (z * u),u * z) * w) = K(x,K(u * z,y \ (u * z)) * w). [para(9520(a,1),14593(a,1,2,1)),flip(a)]. given #13372 (H,wt=26): 14668 K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(14600(a,2),14660(a,1))]. given #13373 (H,wt=27): 14611 K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. [para(354(a,1),14594(a,1,2))]. given #13374 (H,wt=27): 14634 K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). [hyper(240,a,13259,a(flip),b,14633,a(flip)),flip(a)]. given #13375 (H,wt=25): 14669 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(10260(a,1),14634(a,1,2,1,1))]. given #13376 (H,wt=21): 14670 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(240,a,14633,a(flip),b,14669,a(flip))]. given #13377 (H,wt=21): 14671 K(x,(((y \ z) * y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(14(a,1),14670(a,1,2,1,1,1)),flip(a)]. given #13378 (H,wt=25): 14672 K(x,T(y \ (z * u),y / u) \ 1) = K(x,(T(z,y / u) * u) \ y). [hyper(6175,a,14671,a)]. given #13379 (H,wt=25): 14673 K(x,T((y \ (z * u)) \ 1,y / u)) = K(x,(T(z,y / u) * u) \ y). [hyper(7300,a,14672,a)]. given #13380 (H,wt=28): 14654 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(14651(a,1),6718(a,1,1))]. given #13381 (H,wt=23): 14674 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9364,a,14654,a),flip(a)]. given #13382 (H,wt=21): 14675 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5785(a,1),14674(a,1,2,1))]. given #13383 (H,wt=28): 14656 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(14652(a,1),6719(a,1,1))]. given #13384 (H,wt=23): 14676 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9364,a,14656,a),flip(a)]. given #13385 (H,wt=21): 14677 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6301(a,1),14676(a,1,2,1))]. given #13386 (H,wt=29): 14596 (x * T(y,K(x,K(z,u) * w))) \ (T(x,K(z,u) * w) * y) = K(x,K(u,z) * w). [hyper(240,a,8385,a,b,14593,a),flip(a)]. given #13387 (H,wt=29): 14628 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1379(a,1),14627(a,2,1))]. given #13388 (H,wt=25): 14679 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1880(a,1),14628(a,1,1))]. given #13389 (H,wt=21): 14680 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4790(a,1),14679(a,1,1,2)),flip(a)]. given #13390 (H,wt=19): 14681 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4754(a,1),14680(a,1,1,2))]. given #13391 (H,wt=25): 14682 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(14681(a,1),13677(a,1,1,2))]. given #13392 (H,wt=19): 14683 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(7444,a,14682,a),flip(a)]. given #13393 (H,wt=31): 14582 (x * y) \ T(z * T(x * y,K(u,u \ x)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(10187(a,1),14576(a,2,2))]. given #13394 (H,wt=29): 14684 (x * y) \ T(z * T(x * y,K(x,u)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(7845(a,1),14582(a,1,2,1,2))]. given #13395 (H,wt=27): 14685 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) * y). [para(7841(a,1),14684(a,1,2))]. given #13396 (H,wt=17): 14686 T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). [hyper(240,a,14602,a(flip),b,14685,a(flip))]. given #13397 (H,wt=19): 14687 K((x * (y / x)) * z,u) = u / T(u,T(y,x) * z). [para(14686(a,1),4750(a,2,2))]. given #13398 (H,wt=17): 14688 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(240,a,4750,a,b,14687,a)]. given #13399 (H,wt=17): 14689 K(T(x * y,y) * z,u) = K((y * x) * z,u). [para(15(a,1),14688(a,1,1,1,2)),flip(a)]. given #13400 (H,wt=23): 14690 K(T((x \ y) * z,y \ x) * u,w) = K((z * (x \ y)) * u,w). [hyper(240,a,12749,a,b,14689,a(flip)),flip(a)]. given #13401 (H,wt=31): 14666 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,14571,a(flip),b,14665,a(flip)),flip(a)]. given #13402 (H,wt=29): 14691 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,14675,a(flip),b,14666,a(flip)),flip(a)]. given #13403 (H,wt=27): 14692 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,13257,a(flip),b,14691,a(flip)),flip(a)]. given #13404 (H,wt=25): 14693 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4800(a,2),14692(a,1,2,1))]. given #13405 (H,wt=31): 14694 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(3919(a,1),14693(a,1,2,1))]. given #13406 (H,wt=29): 14695 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(122(a,1),14694(a,1,2,2,1))]. given #13407 (H,wt=27): 14696 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(122(a,1),14695(a,1,2,2,2,2))]. given #13408 (H,wt=23): 14697 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7897(a,1),14696(a,2,2))]. given #13409 (H,wt=32): 14607 T(x,((y * K(z * y,z \ 1)) / (z * y)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5796(a,1),14603(a,1,2,1,1))]. given #13410 (H,wt=32): 14699 T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5959(a,1),14607(a,1,2,1))]. given #13411 (H,wt=33): 14662 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4839(a,1),14653(a,1,2,2)),flip(a)]. given #13412 (H,wt=31): 14700 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7629(a,1),14662(a,2,2,1))]. given #13413 (H,wt=29): 14701 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7611(a,1),14700(a,2,2))]. given #13414 (H,wt=21): 14702 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4839(a,1),14701(a,1,2,2,1,2))]. given #13415 (H,wt=17): 14703 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5041(a,1),14702(a,1,2))]. given #13416 (H,wt=19): 14704 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(14703(a,1),4980(a,1,2)),flip(a)]. given #13417 (H,wt=17): 14705 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(240,a,4980,a(flip),b,14704,a)]. given #13418 (H,wt=17): 14706 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(14615,a,14705,a)]. given #13419 (H,wt=21): 14707 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(240,a,10349,a(flip),b,14705,a(flip))]. given #13420 (H,wt=23): 14708 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(10360,a,14706,a)]. given #13421 (H,wt=21): 14709 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(240,a,14707,a(flip),b,14708,a)]. given #13422 (H,wt=25): 14710 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(10606,a,14709,a)]. given #13423 (H,wt=21): 14711 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(240,a,10533,a(flip),b,14710,a),flip(a)]. given #13424 (H,wt=19): 14712 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4536(a,1),14711(a,1,1))]. given #13425 (H,wt=17): 14713 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8061,a,14712,a),flip(a)]. given #13426 (H,wt=23): 14714 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(240,a,9491,a,b,14713,a(flip)),flip(a)]. given #13427 (H,wt=21): 14715 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12731,a,14714,a),flip(a)]. given #13428 (H,wt=17): 14716 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12743,a,14715,a),flip(a)]. given #13429 (H,wt=15): 14718 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4812(a,1),14716(a,1,1,2)),flip(a)]. given #13430 (H,wt=17): 14719 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(14718(a,1),4980(a,1,2)),flip(a)]. given #13431 (H,wt=15): 14720 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(240,a,4980,a(flip),b,14719,a)]. given #13432 (H,wt=17): 14721 K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). [para(124(a,1),14720(a,1,2,2,1))]. given #13433 (H,wt=17): 14723 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4777(a,1),14720(a,1,2,2,1)),flip(a)]. given #13434 (H,wt=17): 14725 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(6692,a,14723,a)]. given #13435 (H,wt=19): 14724 T(x,y \ T(z \ u,z)) = x * K(x,y \ (u / z)). [para(14721(a,1),4800(a,2,2))]. given #13436 (H,wt=20): 14727 T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. [para(14724(a,2),4803(a,1))]. given #13437 (H,wt=21): 14726 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2920(a,2),14725(a,2,2,2))]. given #13438 (H,wt=23): 14722 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3972(a,1),14720(a,1,2,2,1))]. given #13439 (H,wt=21): 14728 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(240,a,12812,a(flip),b,14722,a(flip)),flip(a)]. given #13440 (H,wt=17): 14729 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3953(a,1),14728(a,1,2,2)),flip(a)]. given #13441 (H,wt=19): 14731 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(240,a,14697,a(flip),b,14729,a(flip))]. given #13442 (H,wt=19): 14732 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(4120(a,2),14729(a,1,2,2)),flip(a)]. given #13443 (H,wt=17): 14734 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(240,a,12812,a(flip),b,14732,a(flip))]. given #13444 (H,wt=21): 14735 K(x \ (T(y,z) * z),u) = w / (K(u,x \ (z * y)) * w). [para(14734(a,1),5184(a,1,2,1)),flip(a)]. given #13445 (H,wt=20): 14736 K(x \ (T(y,z) * z),u) != w | K(x \ (z * y),u) = w. [para(14735(a,2),5194(a,1))]. given #13446 (H,wt=17): 14737 K(x \ T(y * z,z),u) = K(x \ (z * y),u). [hyper(14736,a,12764,a(flip)),flip(a)]. given #13447 (H,wt=17): 14738 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [para(16(a,1),14737(a,1,1,2,1)),flip(a)]. given #13448 (H,wt=16): 14740 K(x \ T(y,x),z) != u | K(y / x,z) = u. [para(14738(a,1),8063(a,1))]. given #13449 (H,wt=24): 14730 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ T(y,z)). [hyper(240,a,11410,a,b,14729,a(flip)),flip(a)]. given #13450 (H,wt=22): 14741 K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). [hyper(11349,a,14730,a)]. given #13451 (H,wt=20): 14742 K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). [hyper(13943,a,14741,a)]. given #13452 (H,wt=21): 14743 K(x,y / (T(z,y / u) * u)) = K(x,(u * z) \ T(y,u)). [hyper(240,a,14533,a,b,14742,a(flip)),flip(a)]. given #13453 (H,wt=24): 14739 K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). [hyper(240,a,13947,a(flip),b,14738,a(flip))]. given #13454 (H,wt=21): 14745 K(x \ (y * (z * (u / z))),w) = K(x \ (y * T(u,z)),w). [hyper(240,a,13947,a(flip),b,14739,a(flip))]. given #13455 (H,wt=21): 14746 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (u * z)),w). [para(15(a,1),14745(a,1,1,2,2,2)),flip(a)]. given #13456 (H,wt=31): 14717 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). [hyper(240,a,10645,a,b,14716,a(flip)),flip(a)]. given #13457 (H,wt=31): 14747 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * ((u \ 1) * ((z * u) / (u \ 1)))),w). [para(6096(a,1),14745(a,2,1,2,2)),flip(a)]. given #13458 (H,wt=31): 14748 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(T(u \ x,u),z)). [hyper(240,a,10641,a(flip),b,14717,a)]. given #13459 (H,wt=29): 14749 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(x / u,z)). [hyper(240,a,8296,a(flip),b,14748,a)]. given #13460 (H,wt=27): 14750 K(x \ (y * T(z * K(y,z),u)),y \ x) = K((y \ x) \ z,T(x / y,u)). [para(8854(a,1),14749(a,1,1,2))]. given #13461 (H,wt=27): 14751 K(x \ (y * (z * K(y,z))),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [hyper(10646,a,14750,a)]. given #13462 (H,wt=25): 14752 K(x \ (T(y,z) * z),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [para(4828(a,1),14751(a,1,1,2))]. given #13463 (H,wt=23): 14753 K((x \ y) \ z,T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). [hyper(14736,a,14752,a),flip(a)]. given #13464 (H,wt=23): 14754 K(x \ (y * T(z,u)),x / y) = K(x \ (z * y),T(y \ x,u)). [hyper(10651,a,14753,a)]. given #13465 (H,wt=33): 14667 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(5782(a,1),14665(a,1,2,2,2)),flip(a)]. given #13466 (H,wt=29): 14755 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9699(a,1),14667(a,2,2))]. given #13467 (H,wt=27): 14756 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7903(a,1),14755(a,1,2))]. given #13468 (H,wt=21): 14757 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9280(a,1),14756(a,1,2)),flip(a)]. given #13469 (H,wt=19): 14758 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(240,a,8029,a(flip),b,14757,a)]. given #13470 (H,wt=22): 14759 K(x,T(y / z,y / (u \ z))) != w | K(x,T(y / z,u)) = w. [para(14757(a,2),8084(a,1))]. given #13471 (H,wt=23): 14761 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(240,a,14560,a(flip),b,14758,a(flip)),flip(a)]. given #13472 (H,wt=34): 14678 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(7498(a,1),14677(a,2,2))]. given #13473 (H,wt=30): 14763 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(7735(a,1),14678(a,1,2,2,2))]. given #13474 (H,wt=30): 14764 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(7491(a,2),14763(a,1,2,2))]. given #13475 (H,wt=26): 14766 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(10176(a,1),14764(a,1,2)),flip(a)]. given #13476 (H,wt=24): 14767 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(240,a,6125,a(flip),b,14766,a)]. given #13477 (H,wt=19): 14768 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(240,a,13258,a(flip),b,14767,a(flip)),flip(a)]. given #13478 (H,wt=17): 14769 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6171,a,14768,a),flip(a)]. given #13479 (H,wt=17): 14774 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(240,a,14683,a,b,14769,a(flip)),flip(a)]. given #13480 (H,wt=19): 14775 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(240,a,14726,a(flip),b,14774,a(flip))]. given #13481 (H,wt=17): 14776 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(240,a,14725,a(flip),b,14775,a(flip))]. given #13482 (H,wt=17): 14777 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),14776(a,1,2,2,2)),flip(a)]. given #13483 (H,wt=20): 14771 K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. [para(14768(a,1),6171(a,1))]. given #13484 (H,wt=20): 14779 K(x,y \ K(z \ 1,u)) != w | K(x,y \ K(z,u)) = w. [para(14683(a,2),14771(a,1))]. given #13485 (H,wt=21): 14778 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8096(a,1),14777(a,1,2,2))]. given #13486 (H,wt=35): 14762 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(3970(a,1),14761(a,1,2,2,1))]. given #13487 (H,wt=33): 14780 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(9184(a,1),14762(a,1,2,1))]. given #13488 (H,wt=29): 14781 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3970(a,1),14780(a,1,2,2,2,2))]. given #13489 (H,wt=27): 14783 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(240,a,14661,a(flip),b,14781,a(flip)),flip(a)]. given #13490 (H,wt=25): 14784 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12684(a,1),14783(a,2,2))]. given #13491 (H,wt=21): 14785 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(240,a,14729,a(flip),b,14784,a(flip)),flip(a)]. given #13492 (H,wt=37): 14733 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(9019(a,1),14731(a,1,2,2,2))]. given #13493 (H,wt=35): 14786 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(240,a,6296,a(flip),b,14733,a(flip)),flip(a)]. given #13494 (H,wt=29): 14787 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(10325(a,1),14786(a,1,2,2))]. given #13495 (H,wt=27): 14788 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12791,a,14787,a)]. given #13496 (H,wt=25): 14789 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(240,a,14629,a(flip),b,14788,a(flip))]. given #13497 (H,wt=25): 14790 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8094(a,1),14789(a,1,2))]. given #13498 (H,wt=23): 14791 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8099,a,14790,a),flip(a)]. given #13499 (H,wt=38): 14744 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(9661(a,1),14742(a,2,2,1))]. given #13500 (H,wt=38): 14793 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(7094(a,1),14744(a,1,2,1,2))]. given #13501 (H,wt=47): 14792 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(5043(a,1),14791(a,1,2,1)),flip(a)]. given #13502 (H,wt=43): 14794 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(7901(a,1),14792(a,2,2,2))]. given #13503 (H,wt=43): 14795 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(8350(a,1),14794(a,2,2,2))]. given #13504 (H,wt=41): 14796 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(240,a,14778,a(flip),b,14795,a)]. given #13505 (H,wt=39): 14797 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(240,a,14677,a(flip),b,14796,a)]. given #13506 (H,wt=37): 14798 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(240,a,13257,a(flip),b,14797,a)]. given #13507 (H,wt=35): 14799 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(4800(a,2),14798(a,2,2,1))]. given #13508 (H,wt=33): 14800 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(240,a,14785,a(flip),b,14799,a)]. given #13509 (H,wt=25): 14801 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),14800(a,1,2,1,2))]. given #13510 (H,wt=21): 14802 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(9135(a,1),14801(a,1,2))]. given #13511 (H,wt=19): 14803 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(10260(a,1),14802(a,1,2)),flip(a)]. given #13512 (H,wt=19): 14804 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),14803(a,1,2,1)),flip(a)]. given #13513 (H,wt=15): 14806 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),14804(a,1,2,1)),flip(a)]. given #13514 (H,wt=17): 14811 x * K(x,T(y,z * u)) = T(x,T(y,z \ u)). [para(14806(a,1),4800(a,2,2)),flip(a)]. given #13515 (H,wt=18): 14815 T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. [para(14811(a,1),4803(a,1))]. given #13516 (H,wt=15): 14816 T(x,T(y \ z,z * y)) = T(x,y \ z). [hyper(14815,a,2923,a)]. given #13517 (H,wt=19): 14805 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),14803(a,1,2,2)),flip(a)]. given #13518 (H,wt=19): 14807 K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(u,z))). [hyper(14163,a,14806,a)]. given #13519 (H,wt=19): 14819 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12826(a,1),14805(a,1,2))]. given #13520 (H,wt=20): 14812 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(14806(a,1),8099(a,1))]. given #13521 (H,wt=17): 14821 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(14812,a,14819,a)]. given #13522 (H,wt=21): 14822 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(14821(a,1),11780(a,1,1))]. given #13523 (H,wt=13): 14823 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11458,a,14822,a)]. given #13524 (H,wt=13): 14824 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(7863,a,14823,a)]. given #13525 (H,wt=13): 14826 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7770,a,14823,a)]. given #13526 (H,wt=13): 14827 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(240,a,7487,a,b,14823,a)]. given #13527 (H,wt=13): 14833 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(6033(a,1),14824(a,1,2))]. given #13528 (H,wt=9): 14860 K(K(x,y),K(z,u)) = 1. [hyper(74,a,14833,a(flip),b,7857,a),flip(a)]. given #13529 (H,wt=9): 14861 K(x,K(y,K(z,u))) = 1. [hyper(74,a,14833,a(flip),b,7524,a),flip(a)]. given #13530 (H,wt=9): 14873 T(x,K(y,K(z,u))) = x. [hyper(37,a,14861,a)]. given #13531 (H,wt=11): 14869 T(K(x,y),K(z,u)) = K(x,y). [hyper(37,a,14860,a)]. given #13532 (H,wt=11): 14876 K(x,T(y,K(z,u))) = K(x,y). [hyper(9897,a,14873,a)]. given #13533 (H,wt=11): 14878 T(x,T(y,K(z,u))) = T(x,y). [hyper(6912,a,14873,a)]. given #13534 (H,wt=11): 14888 K(T(x,K(y,z)),u) = K(x,u). [hyper(7255,a,14869,a)]. given #13535 (H,wt=13): 14841 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7461,a,14826,a)]. given #13536 (H,wt=13): 14923 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(6889(a,1),14876(a,1,2))]. given #13537 (H,wt=13): 14941 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(6889(a,1),14878(a,1,2))]. given #13538 (H,wt=13): 14957 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8201,a,14923,a)]. given #13539 (H,wt=14): 14906 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(14869(a,1),7645(a,1))]. given #13540 (H,wt=14): 14925 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(14876(a,1),7782(a,1))]. given #13541 (H,wt=14): 14947 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(14878(a,1),9142(a,1))]. given #13542 (H,wt=15): 14825 K(x,K(y,z \ u)) = K(y,K(x,u / z)). [hyper(7773,a,14823,a)]. given #13543 (H,wt=15): 14831 K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). [hyper(240,a,14823,a(flip),b,14824,a(flip))]. given #13544 (H,wt=15): 14832 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(124(a,1),14824(a,1,2,1)),flip(a)]. given #13545 (H,wt=15): 14834 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(7144(a,1),14824(a,1,2)),flip(a)]. given #13546 (H,wt=15): 14835 T(x,K(y,T(z,u))) = K(y,K(z,x)) * x. [para(14824(a,1),7504(a,1,1)),flip(a)]. given #13547 (H,wt=13): 15020 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(240,a,7455,a(flip),b,14835,a)]. given #13548 (H,wt=15): 14836 T(x,K(y,T(z,u))) = K(x,K(z,y)) * x. [para(14824(a,1),7531(a,1,1)),flip(a)]. given #13549 (H,wt=15): 14837 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(10265(a,1),14824(a,1,2))]. given #13550 (H,wt=15): 14850 K(x,K(y * z,u)) = K(x,K(z * y,u)). [para(10329(a,1),14826(a,1,2))]. given #13551 (H,wt=15): 14854 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(6981(a,1),14827(a,1,2))]. given #13552 (H,wt=15): 14856 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(10281(a,2),14827(a,1,2))]. given #13553 (H,wt=15): 14862 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(14833(a,1),6988(a,1,2)),flip(a)]. given #13554 (H,wt=15): 14875 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(10320,a,14873,a)]. given #13555 (H,wt=15): 14879 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(240,a,8907,a(flip),b,14873,a(flip))]. given #13556 (H,wt=15): 14886 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(10285,a,14869,a),flip(a)]. given #13557 (H,wt=15): 14889 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(6221,a,14869,a),flip(a)]. given #13558 (H,wt=15): 14893 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(14869(a,1),122(a,1,2))]. given #13559 (H,wt=15): 14915 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(10346,a,14876,a),flip(a)]. given #13560 (H,wt=15): 14918 K(x * K(y,z),T(y,K(u,w))) = K(x,y). [hyper(240,a,7742,a(flip),b,14876,a)]. given #13561 (H,wt=15): 14927 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(7872(a,1),14876(a,1,2)),flip(a)]. given #13562 (H,wt=15): 14930 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(8907(a,1),14876(a,1,2)),flip(a)]. given #13563 (H,wt=15): 14932 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(10317(a,1),14876(a,1,2))]. given #13564 (H,wt=15): 14944 T(x,K(y,z) \ u) = T(x,u * K(z,y)). [para(7872(a,1),14878(a,1,2)),flip(a)]. given #13565 (H,wt=15): 14949 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(10317(a,1),14878(a,1,2))]. given #13566 (H,wt=15): 14951 K(K(x,y) \ z,u) = K(z * K(y,x),u). [para(7872(a,1),14888(a,1,1)),flip(a)]. given #13567 (H,wt=15): 14953 K(K(x,y),z * u) = K(x,K(y,u * z)). [hyper(10297,a,14841,a)]. given #13568 (H,wt=15): 14962 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(240,a,7608,a(flip),b,14923,a)]. given #13569 (H,wt=15): 15013 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8079,a,14834,a)]. given #13570 (H,wt=15): 15022 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(7489,a,14837,a)]. given #13571 (H,wt=15): 15034 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7542,a,14862,a)]. given #13572 (H,wt=15): 15035 (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. [hyper(7541,a,14862,a)]. given #13573 (H,wt=15): 15036 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7539,a,14862,a)]. given #13574 (H,wt=15): 15043 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7487(a,1),14862(a,1,1))]. given #13575 (H,wt=15): 15051 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(14594,a,14886,a)]. given #13576 (H,wt=15): 15065 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(14615,a,14915,a(flip)),flip(a)]. given #13577 (H,wt=15): 15095 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(240,a,14915,a,b,15065,a)]. given #13578 (H,wt=16): 14828 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(14823(a,2),7532(a,1))]. given #13579 (H,wt=16): 14844 K(x,K(y,T(z,u))) != w | K(z,K(x,y)) = w. [para(14826(a,2),7511(a,1))]. given #13580 (H,wt=16): 14986 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(6889(a,1),14906(a,1,2))]. given #13581 (H,wt=16): 14996 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(6889(a,1),14947(a,1,2))]. given #13582 (H,wt=16): 15076 K(x,T(y,x / z)) != u | K(x,T(y,z)) = u. [para(14930(a,2),8044(a,1))]. given #13583 (H,wt=16): 15097 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(15065(a,2),5260(a,1))]. given #13584 (H,wt=16): 15101 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(6980(a,1),14828(a,1,2))]. given #13585 (H,wt=17): 14858 K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). [para(13706(a,1),14827(a,1,2))]. given #13586 (H,wt=17): 14865 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(14833(a,1),7661(a,1,1))]. given #13587 (H,wt=17): 14877 (x * y) * K(x,K(z,u)) = T(x,K(z,u)) * y. [hyper(8181,a,14873,a)]. given #13588 (H,wt=17): 14880 T(x / T(y,K(z,u)),y) = T(y,K(z,u)) \ x. [hyper(240,a,7642,a(flip),b,14873,a(flip)),flip(a)]. given #13589 (H,wt=17): 14882 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(14873(a,1),5052(a,1,2)),flip(a)]. given #13590 (H,wt=17): 14904 K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y). [para(14869(a,1),7150(a,1,1))]. given #13591 (H,wt=17): 14905 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(14869(a,1),7331(a,1,2)),flip(a)]. given #13592 (H,wt=17): 14914 K(K(x,y) * (z * x),u) = K(z * T(x,y),u). [hyper(10355,a,14876,a)]. given #13593 (H,wt=17): 14921 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(240,a,10345,a(flip),b,14876,a(flip)),flip(a)]. given #13594 (H,wt=17): 14945 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(7873(a,1),14878(a,1,2))]. given #13595 (H,wt=17): 14955 K(x,K(y,z)) * (u / z) = u / T(z,K(x,y)). [para(14841(a,1),8132(a,1,1))]. given #13596 (H,wt=17): 14956 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [hyper(10296,a,14923,a),flip(a)]. given #13597 (H,wt=17): 14958 K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)). [hyper(7796,a,14923,a),flip(a)]. given #13598 (H,wt=17): 14985 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5644(a,1),14906(a,1,2,2))]. given #13599 (H,wt=17): 15008 T(x,K(y,T(z,u))) = x * K(z,K(y,T(x,w))). [para(14831(a,1),7493(a,1,2)),flip(a)]. given #13600 (H,wt=17): 15016 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(240,a,11914,a,b,14834,a(flip)),flip(a)]. given #13601 (H,wt=17): 15018 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13588(a,2),14834(a,2,2)),flip(a)]. given #13602 (H,wt=17): 15037 K(x,K(y,z)) * (u \ x) = u \ T(x,K(y,z)). [hyper(240,a,14083,a(flip),b,14862,a)]. given #13603 (H,wt=17): 15039 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(240,a,7546,a(flip),b,14862,a)]. given #13604 (H,wt=17): 15045 T(x,y * K(z \ u,z)) = T(x,K(u,z) * y). [hyper(14636,a,14875,a),flip(a)]. given #13605 (H,wt=17): 15046 T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). [hyper(240,a,14614,a(flip),b,14875,a)]. given #13606 (H,wt=17): 15048 T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). [hyper(240,a,14586,a(flip),b,14875,a(flip))]. given #13607 (H,wt=17): 15049 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(14083(a,1),14875(a,2,2))]. given #13608 (H,wt=17): 15052 K(x,y * K(z,z * u)) = K(x,K(z,u) * y). [hyper(240,a,12890,a,b,14886,a),flip(a)]. given #13609 (H,wt=17): 15053 K(x,K(y,y \ z) * u) = K(x,u * K(z,y)). [hyper(240,a,14595,a,b,14886,a(flip)),flip(a)]. given #13610 (H,wt=17): 15054 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [hyper(240,a,14597,a(flip),b,14886,a(flip))]. given #13611 (H,wt=17): 15063 K(x * K(y,z),x \ y) = K(x,T(x \ y,z)). [hyper(10639,a,14915,a),flip(a)]. given #13612 (H,wt=17): 15066 K(x * K(y,z),x \ K(z,y)) = K(x,x \ 1). [hyper(240,a,14239,a(flip),b,14915,a(flip))]. given #13613 (H,wt=17): 15073 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [hyper(240,a,11957,a,b,14930,a(flip)),flip(a)]. given #13614 (H,wt=17): 15081 K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). [para(13755(a,2),14932(a,1,2))]. given #13615 (H,wt=17): 15090 K(x,K(y,z)) * (u * T(x,K(y,z))) = u * x. [hyper(18,a,5929,a,b,15035,a)]. given #13616 (H,wt=17): 15093 K(x,K(y,y \ z) * u) = K(x,u * K(y,z)). [hyper(240,a,14595,a,b,15051,a(flip)),flip(a)]. given #13617 (H,wt=17): 15096 K(x * K(y,y \ z),u) = K(K(z,y) * x,u). [hyper(240,a,12735,a,b,15065,a),flip(a)]. given #13618 (H,wt=17): 15098 K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). [para(14083(a,1),15065(a,2,1))]. given #13619 (H,wt=17): 15099 K(K(x * y,x) * z,u) = K(K(x,y) * z,u). [hyper(240,a,12736,a(flip),b,15095,a)]. given #13620 (H,wt=17): 15130 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [hyper(240,a,14886,a(flip),b,15053,a(flip)),flip(a)]. given #13621 (H,wt=17): 15133 K(x * K(y \ z,y),u) = K(K(z,y) * x,u). [hyper(14615,a,15096,a)]. given #13622 (H,wt=17): 15135 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [hyper(240,a,15095,a,b,15099,a)]. given #13623 (H,wt=18): 14855 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(14827(a,1),7773(a,1))]. given #13624 (H,wt=18): 14863 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(14833(a,1),6989(a,1,2))]. given #13625 (H,wt=16): 15141 T(x,K(y,z)) != u | K(y,K(z,x)) * x = u. [para(7503(a,1),14863(a,1))]. given #13626 (H,wt=18): 14881 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(14873(a,1),231(a,1,2))]. given #13627 (H,wt=18): 14884 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(14873(a,1),10294(a,1,1))]. given #13628 (H,wt=16): 15143 T(x,y) != z | T(x,y * K(u,u \ 1)) = z. [para(4412(a,1),14884(a,1))]. given #13629 (H,wt=18): 14885 T(x,y * K(z,u)) != w | T(x,K(z,u) * y) = w. [para(14873(a,1),10320(a,1))]. given #13630 (H,wt=18): 14894 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(14869(a,1),231(a,1,2))]. given #13631 (H,wt=18): 14902 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(14869(a,1),6221(a,1))]. given #13632 (H,wt=18): 14910 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(14869(a,1),10285(a,1))]. given #13633 (H,wt=18): 14929 K(x,y \ K(z,u)) != w | K(x,K(z,u) / y) = w. [para(14876(a,1),7800(a,1))]. given #13634 (H,wt=18): 14931 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(14876(a,1),10297(a,1))]. given #13635 (H,wt=18): 14933 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(14876(a,1),10338(a,1))]. given #13636 (H,wt=18): 14934 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(14876(a,1),10346(a,1))]. given #13637 (H,wt=18): 14942 T(K(x,y),T(z,K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(14878(a,2),7299(a,1))]. given #13638 (H,wt=18): 14952 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(14888(a,1),7803(a,1))]. given #13639 (H,wt=18): 14988 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7042(a,2),14906(a,1))]. given #13640 (H,wt=18): 14989 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7141(a,2),14906(a,1,2))]. given #13641 (H,wt=18): 14992 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(8907(a,1),14906(a,1,2))]. given #13642 (H,wt=18): 14993 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(10317(a,1),14906(a,1,2))]. given #13643 (H,wt=18): 14995 K(x * K(y,z),u) != w | K(K(z,y) \ x,u) = w. [para(7872(a,1),14925(a,1,1))]. given #13644 (H,wt=18): 14999 T(x,T(y,z \ u)) != w | T(x,T(y,u / z)) = w. [para(8907(a,1),14947(a,1,2))]. given #13645 (H,wt=18): 15001 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(10317(a,1),14947(a,1,2))]. given #13646 (H,wt=18): 15004 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(14825(a,2),7489(a,1))]. given #13647 (H,wt=18): 15025 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(14837(a,1),7489(a,1))]. given #13648 (H,wt=18): 15028 K(x,K(y * z,u)) != w | K(u,K(z * y,x)) = w. [para(14850(a,1),7474(a,1))]. given #13649 (H,wt=18): 15029 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(14854(a,2),7545(a,1))]. given #13650 (H,wt=18): 15044 (K(x,K(y,z)) * u) * K(x,K(y,z)) != w | w = u. [para(14862(a,1),7541(a,1))]. given #13651 (H,wt=18): 15056 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(14886(a,1),14594(a,1))]. given #13652 (H,wt=18): 15069 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(14915(a,2),14615(a,1))]. given #13653 (H,wt=18): 15083 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(14953(a,1),7763(a,1))]. given #13654 (H,wt=18): 15102 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(10329(a,1),14828(a,1,2))]. given #13655 (H,wt=18): 15107 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(7901(a,1),14986(a,1,2))]. given #13656 (H,wt=18): 15108 K(x,T(y,(z \ u) * z)) != w | K(x,T(y,u)) = w. [para(10259(a,2),14986(a,1,2))]. given #13657 (H,wt=16): 15160 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(8814(a,1),15108(a,1))]. given #13658 (H,wt=16): 15161 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(6964(a,1),15160(a,1))]. given #13659 (H,wt=16): 15162 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(6216(a,1),15161(a,1))]. given #13660 (H,wt=18): 15110 T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. [para(7901(a,1),14996(a,1,2))]. given #13661 (H,wt=18): 15111 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(2700(a,1),15097(a,1,1))]. given #13662 (H,wt=18): 15112 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(2985(a,1),15097(a,1,1))]. given #13663 (H,wt=18): 15115 K((1 / (1 / x)) * y,z) != u | K(x * y,z) = u. [para(5373(a,1),15097(a,1,1))]. given #13664 (H,wt=18): 15139 T(K(x,y),z) != u | K(z,K(y,x)) * K(x,y) = u. [para(5680(a,1),14863(a,1))]. given #13665 (H,wt=18): 15142 T(K(x,y),z) != u | K(x,y) * K(z,K(y,x)) = u. [para(5685(a,1),14881(a,1))]. given #13666 (H,wt=18): 15144 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(14584(a,1),14884(a,1))]. given #13667 (H,wt=18): 15147 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(14593(a,1),14910(a,1))]. given #13668 (H,wt=18): 15151 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(15065(a,2),14933(a,1))]. given #13669 (H,wt=18): 15166 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(14875(a,1),15144(a,1))]. given #13670 (H,wt=18): 15168 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(14915(a,1),15151(a,1))]. given #13671 (H,wt=19): 14864 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [para(14833(a,1),6990(a,1,2,2)),flip(a)]. given #13672 (H,wt=19): 14954 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(14841(a,1),7661(a,1,1))]. given #13673 (H,wt=19): 15024 K(x,K(y,z * u)) * (u * z) = T(u * z,K(x,y)). [para(14837(a,1),7504(a,1,1))]. given #13674 (H,wt=19): 15031 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(240,a,10316,a(flip),b,14856,a(flip)),flip(a)]. given #13675 (H,wt=19): 15033 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8281,a,14862,a),flip(a)]. given #13676 (H,wt=19): 15064 K(x * K(y,z),u / x) = K(x * K(y,z),x \ u). [hyper(10356,a,14915,a),flip(a)]. given #13677 (H,wt=19): 15078 K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). [hyper(7797,a,14932,a),flip(a)]. given #13678 (H,wt=19): 15084 K(x / y,T(x,z) \ u) = K(y \ x,u / T(x,z)). [hyper(7796,a,14962,a),flip(a)]. given #13679 (H,wt=19): 15089 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [hyper(240,a,6881,a,b,15034,a)]. given #13680 (H,wt=19): 15094 K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). [para(10045(a,1),15051(a,2,2))]. given #13681 (H,wt=19): 15116 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [hyper(73,a,14865,a(flip),b,7535,a),flip(a)]. given #13682 (H,wt=19): 15118 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(5926(a,1),14882(a,1,2)),flip(a)]. given #13683 (H,wt=19): 15125 K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). [hyper(7797,a,14956,a)]. given #13684 (H,wt=19): 15127 T(x,K(y,z)) \ (u \ T(x,K(y,z))) = x \ (u \ x). [hyper(73,a,15037,a(flip),b,4780,a)]. given #13685 (H,wt=19): 15128 T(x,y \ K(z \ u,z)) = T(x,K(u,z) * (1 / y)). [hyper(13787,a,15045,a)]. given #13686 (H,wt=17): 15181 T(x,y \ K(z \ u,z)) = T(x,K(u,z) / y). [hyper(240,a,13754,a(flip),b,15128,a)]. given #13687 (H,wt=17): 15182 T(x,y \ K(z \ u,z)) = T(x,y \ K(u,z)). [hyper(240,a,14879,a(flip),b,15181,a)]. given #13688 (H,wt=19): 15129 T(x,K(y,z) * (u * y)) = T(x,u * (z * (y / z))). [para(10105(a,1),15048(a,1,2)),flip(a)]. given #13689 (H,wt=19): 15132 (x * T(y,K(z,u))) \ y = (x * y) \ T(y,K(z,u)). [para(15090(a,1),11937(a,1,1)),flip(a)]. given #13690 (H,wt=19): 15134 K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). [para(7101(a,1),15096(a,1,1)),flip(a)]. given #13691 (H,wt=19): 15171 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(75,a,14864,a,b,xx)]. given #13692 (H,wt=19): 15173 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(240,a,6985,a,b,14954,a)]. given #13693 (H,wt=19): 15178 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7491(a,2),15089(a,1,1))]. given #13694 (H,wt=20): 14935 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(14876(a,1),10922(a,1,1))]. given #13695 (H,wt=20): 14968 K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. [para(14923(a,1),7778(a,1))]. given #13696 (H,wt=20): 14969 K(x / T(y,z),T(u,y)) != w | K(T(y,z) \ x,u) = w. [para(14923(a,1),7783(a,1))]. given #13697 (H,wt=20): 14970 K(x,T(T(y,z) \ u,y)) != w | K(x,u / T(y,z)) = w. [para(14923(a,1),7796(a,1))]. given #13698 (H,wt=20): 14971 K(x,T(y \ T(z,u),z)) != w | K(x,T(z,u) / y) = w. [para(14923(a,1),7800(a,1))]. given #13699 (H,wt=20): 14973 K(x * T(y,z),T(u,y)) != w | K(T(y,z) * x,u) = w. [para(14923(a,1),10338(a,1))]. given #13700 (H,wt=20): 14974 K(T(x,y) * z,T(u,x)) != w | K(z * T(x,y),u) = w. [para(14923(a,1),10346(a,1))]. given #13701 (H,wt=20): 14990 K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. [para(7873(a,1),14906(a,1,2))]. given #13702 (H,wt=20): 14991 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(7876(a,1),14906(a,1,2))]. given #13703 (H,wt=17): 15188 K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). [hyper(14991,a,14598,a(flip)),flip(a)]. given #13704 (H,wt=20): 14994 K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. [para(7054(a,2),14925(a,1,1))]. given #13705 (H,wt=20): 14997 T(x,K(y,z) * (u / z)) != w | T(x,u / T(z,y)) = w. [para(7873(a,1),14947(a,1,2))]. given #13706 (H,wt=20): 14998 T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. [para(7876(a,1),14947(a,1,2))]. given #13707 (H,wt=20): 15106 K(T(x,y) \ z,u) != w | K(z / T(x,y),T(u,x)) = w. [para(7162(a,1),14986(a,1))]. given #13708 (H,wt=15): 15193 K(x / T(y,z),T(y,y)) = K(y \ x,y). [hyper(15106,a,6760,a)]. given #13709 (H,wt=20): 15140 x * T(y,K(z,u)) != w | K(y,K(z,u)) * (x * y) = w. [para(5929(a,1),14863(a,1))]. given #13710 (H,wt=20): 15148 K(x,K(y \ 1,z) * u) != w | K(x,u * K(y,z)) = w. [para(14651(a,2),14910(a,1))]. given #13711 (H,wt=20): 15149 K(x,y * K(z,z * u)) != w | K(x,K(z,u) * y) = w. [para(12890(a,2),14931(a,1))]. given #13712 (H,wt=20): 15150 K(x * K(y,z),u) != w | K(K(y \ 1,z) * x,u) = w. [para(14705(a,1),14933(a,1))]. given #13713 (H,wt=17): 15196 K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). [hyper(15150,a,15065,a(flip))]. given #13714 (H,wt=20): 15153 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13755(a,2),14993(a,1,2))]. given #13715 (H,wt=20): 15154 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13588(a,2),15004(a,1,2))]. given #13716 (H,wt=20): 15157 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. [para(11957(a,2),15107(a,1))]. given #13717 (H,wt=18): 15198 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ x)) = u. [para(7154(a,1),15157(a,1))]. given #13718 (H,wt=20): 15163 K(x,1 / (y / (y / (1 / z)))) != u | K(x,T(z,y)) = u. [para(10255(a,1),15161(a,1))]. given #13719 (H,wt=20): 15167 K(x,y * K(z,u)) != w | K(x,y * K(u \ z,u)) = w. [para(15053(a,1),15147(a,1))]. given #13720 (H,wt=20): 15169 K(K(x * y,x) * z,u) != w | K(K(x,y) * z,u) = w. [para(15135(a,2),15151(a,1))]. given #13721 (H,wt=20): 15187 K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. [para(14593(a,1),14990(a,1))]. given #13722 (H,wt=20): 15189 K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. [para(14598(a,2),14991(a,1))]. given #13723 (H,wt=20): 15190 T(x,K(y,z) * (u / y)) != w | T(x,u / T(y,z)) = w. [para(14584(a,1),14997(a,1))]. given #13724 (H,wt=20): 15191 T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. [para(14584(a,1),14998(a,1))]. given #13725 (H,wt=20): 15192 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(15129(a,1),14998(a,1))]. given #13726 (H,wt=20): 15194 K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. [para(14886(a,1),15148(a,1))]. given #13727 (H,wt=20): 15195 K(x,y * K(z,u \ 1)) != w | K(x,y * K(u,z)) = w. [para(15051(a,1),15148(a,1))]. given #13728 (H,wt=20): 15197 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(14837(a,1),15154(a,1))]. given #13729 (H,wt=20): 15201 T(K(x,y),z * x) != u | T(K(x,y),z * T(x,w)) = u. [para(8442(a,1),15191(a,1))]. given #13730 (H,wt=21): 14838 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(14824(a,1),10393(a,1,1))]. given #13731 (H,wt=21): 14839 K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). [para(14824(a,1),10395(a,1,1))]. given #13732 (H,wt=21): 14847 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) / y). [para(14826(a,1),8171(a,1,2))]. given #13733 (H,wt=21): 14848 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) \ y). [para(14826(a,1),8177(a,1,2))]. given #13734 (H,wt=21): 14857 K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). [para(14827(a,1),10396(a,1,2))]. given #13735 (H,wt=21): 14868 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(14833(a,1),14506(a,1,2,2)),flip(a)]. given #13736 (H,wt=13): 15207 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(182,a,14864,a,b,14868,a)]. given #13737 (H,wt=13): 15210 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(14884,a,15207,a)]. given #13738 (H,wt=15): 15209 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(14998,a,15207,a)]. given #13739 (H,wt=15): 15212 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(73,a,15207,a(flip),b,4800,a(flip)),flip(a)]. given #13740 (H,wt=13): 15225 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(240,a,4753,a,b,15212,a)]. given #13741 (H,wt=13): 15228 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(15148,a,15225,a)]. given #13742 (H,wt=13): 15229 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(240,a,14598,a,b,15225,a(flip)),flip(a)]. given #13743 (H,wt=15): 15214 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(6207(a,1),15207(a,1,2))]. given #13744 (H,wt=15): 15218 T(x,y * K(z,K(u,w))) = K(x,y) * x. [hyper(240,a,4809,a(flip),b,15210,a)]. given #13745 (H,wt=15): 15219 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(15210(a,1),4750(a,2,2))]. given #13746 (H,wt=13): 15239 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(240,a,4750,a,b,15219,a)]. given #13747 (H,wt=13): 15241 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(14933,a,15239,a)]. given #13748 (H,wt=15): 15227 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(15187,a,15225,a)]. given #13749 (H,wt=15): 15231 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5480(a,1),15225(a,1,2))]. given #13750 (H,wt=15): 15242 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1327(a,1),15239(a,1,1))]. given #13751 (H,wt=15): 15243 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(5474(a,1),15239(a,1,1))]. given #13752 (H,wt=15): 15244 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(5926(a,1),15239(a,1,1)),flip(a)]. given #13753 (H,wt=16): 15226 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(15212(a,2),4860(a,1))]. given #13754 (H,wt=16): 15238 T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. [para(15218(a,2),4810(a,1))]. given #13755 (H,wt=16): 15240 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(15219(a,2),4833(a,1))]. given #13756 (H,wt=16): 15259 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7640(a,1),15226(a,1,2))]. given #13757 (H,wt=16): 15270 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(7099(a,1),15240(a,1,1))]. given #13758 (H,wt=17): 15215 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7000(a,1),15207(a,1,2))]. given #13759 (H,wt=17): 15216 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(8678(a,1),15207(a,1,2))]. given #13760 (H,wt=17): 15221 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(6889(a,1),15209(a,1,2,2))]. given #13761 (H,wt=17): 15232 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(7000(a,1),15225(a,1,2))]. given #13762 (H,wt=17): 15235 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(15173(a,1),15225(a,1,2))]. given #13763 (H,wt=17): 15236 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(8318(a,1),15228(a,1,2))]. given #13764 (H,wt=17): 15247 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(15033(a,1),15239(a,1,1))]. given #13765 (H,wt=17): 15251 K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). [para(6889(a,1),15242(a,1,1,2))]. given #13766 (H,wt=17): 15278 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(240,a,14584,a,b,15215,a)]. given #13767 (H,wt=17): 15281 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [hyper(10308,a,15216,a),flip(a)]. given #13768 (H,wt=17): 15283 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(240,a,14886,a(flip),b,15232,a)]. given #13769 (H,wt=17): 15286 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(7099(a,1),15236(a,1,2,2))]. given #13770 (H,wt=17): 15289 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). [hyper(14884,a,15278,a)]. given #13771 (H,wt=17): 15293 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(7417(a,1),15286(a,1,2,2))]. given #13772 (H,wt=13): 15297 K(x,y * T(z,y)) = K(x,z * y). [para(3927(a,1),15293(a,1,2)),flip(a)]. given #13773 (H,wt=18): 15256 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5253(a,1),15226(a,1,2))]. given #13774 (H,wt=18): 15257 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(5479(a,1),15226(a,1,2))]. given #13775 (H,wt=18): 15258 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5480(a,1),15226(a,1,2))]. given #13776 (H,wt=18): 15260 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(7536(a,1),15226(a,1,2))]. given #13777 (H,wt=18): 15261 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(14955(a,1),15226(a,1,2))]. given #13778 (H,wt=18): 15264 T(x,K(y,z / u)) != w | T(x,K(y,u \ z)) = w. [para(8171(a,1),15238(a,1,2))]. given #13779 (H,wt=18): 15267 T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. [para(10396(a,1),15238(a,1,2))]. given #13780 (H,wt=18): 15269 K(T(x,K(y,z)) * u,w) != v5 | K(x * u,w) = v5. [para(5474(a,1),15240(a,1,1))]. given #13781 (H,wt=18): 15271 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(7546(a,1),15240(a,1,1))]. given #13782 (H,wt=18): 15305 T(x,K(y * z,u)) != w | T(x,K(u,z * y)) = w. [para(7560(a,1),15267(a,1))]. given #13783 (H,wt=19): 15211 T(x,(K(y,z) * u) \ w) = T(x,(u * K(y,z)) \ w). [hyper(240,a,14591,a(flip),b,15207,a(flip))]. given #13784 (H,wt=19): 15217 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(10159(a,1),15207(a,1,2)),flip(a)]. given #13785 (H,wt=19): 15233 K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(9603(a,1),15225(a,1,2))]. given #13786 (H,wt=19): 15234 K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). [para(10159(a,1),15225(a,1,2)),flip(a)]. given #13787 (H,wt=19): 15237 K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). [para(9930(a,1),15228(a,1,2))]. given #13788 (H,wt=19): 15245 K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). [para(10045(a,1),15239(a,1,1)),flip(a)]. given #13789 (H,wt=19): 15246 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(13909(a,1),15239(a,1,1)),flip(a)]. given #13790 (H,wt=19): 15248 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9603(a,1),15241(a,1,1))]. given #13791 (H,wt=19): 15249 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(8907(a,1),15227(a,1,2,2)),flip(a)]. given #13792 (H,wt=19): 15250 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(8907(a,1),15231(a,1,2,2)),flip(a)]. given #13793 (H,wt=19): 15254 K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). [para(7872(a,1),15244(a,1,1,2)),flip(a)]. given #13794 (H,wt=19): 15285 K(x,y * K(z,u / w)) = K(x,y * K(z,w \ u)). [para(124(a,1),15235(a,1,2,2,2)),flip(a)]. given #13795 (H,wt=19): 15291 T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * y). [hyper(240,a,12903,a,b,15281,a(flip)),flip(a)]. given #13796 (H,wt=20): 15263 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(15173(a,1),15226(a,1,2))]. given #13797 (H,wt=20): 15268 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. [para(15033(a,1),15238(a,1,2))]. given #13798 (H,wt=20): 15272 K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. [para(8318(a,1),15240(a,1,1))]. given #13799 (H,wt=17): 15315 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [hyper(15272,a,15245,a(flip)),flip(a)]. given #13800 (H,wt=20): 15274 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(15033(a,1),15240(a,1,1))]. given #13801 (H,wt=20): 15275 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(8318(a,1),15259(a,1,2))]. given #13802 (H,wt=20): 15279 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(15215(a,2),14643(a,1))]. given #13803 (H,wt=20): 15284 K(x,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. [para(15232(a,2),14910(a,1))]. given #13804 (H,wt=20): 15288 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(15247(a,2),15069(a,1))]. given #13805 (H,wt=20): 15314 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(14584(a,1),15268(a,1))]. given #13806 (H,wt=20): 15317 K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,v5) = v6. [para(7099(a,1),15272(a,1,1,2))]. given #13807 (H,wt=20): 15321 K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. [para(7099(a,1),15275(a,1,2,2))]. given #13808 (H,wt=20): 15324 T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. [para(14875(a,1),15279(a,1))]. given #13809 (H,wt=21): 14940 T((x / y) * T(y,z),x / y) = T(x * K(y,z),y \ x). [hyper(240,a,6900,a(flip),b,14878,a(flip)),flip(a)]. given #13810 (H,wt=21): 14965 K(x,T(T(y * T(z,u),w),z)) = K(x,T(T(z,u) * y,w)). [hyper(240,a,10290,a(flip),b,14923,a(flip))]. given #13811 (H,wt=21): 14984 T(K(x,y) * z,T(z,u)) = (z * (z * K(x,T(y,z)))) / z. [para(14957(a,1),12850(a,1,1,2,2)),flip(a)]. given #13812 (H,wt=19): 15329 T(K(x,y) * z,T(z,u)) = (z * (K(x,y) * z)) / z. [para(6988(a,1),14984(a,2,1,2))]. given #13813 (H,wt=15): 15331 T(K(x,y) * z,T(z,u)) = z * K(x,y). [hyper(240,a,12837,a(flip),b,15329,a)]. given #13814 (H,wt=21): 15047 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(240,a,14572,a,b,14875,a(flip)),flip(a)]. given #13815 (H,wt=21): 15050 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(14875(a,1),14583(a,2,2))]. given #13816 (H,wt=21): 15055 K(x,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). [para(10032(a,1),14886(a,2,2))]. given #13817 (H,wt=19): 15337 K(x,K(y,z) * (u * y)) = K(x,u * ((z \ y) * z)). [hyper(12787,a,15055,a)]. given #13818 (H,wt=17): 15338 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(14991,a,15337,a),flip(a)]. given #13819 (H,wt=21): 15058 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(240,a,14501,a,b,14889,a),flip(a)]. given #13820 (H,wt=17): 15339 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(240,a,5310,a(flip),b,15058,a)]. given #13821 (H,wt=17): 15340 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8239,a,15339,a)]. given #13822 (H,wt=21): 15070 K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). [para(10105(a,1),14927(a,2,2))]. given #13823 (H,wt=19): 15342 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [hyper(240,a,12815,a(flip),b,15070,a(flip)),flip(a)]. given #13824 (H,wt=17): 15343 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(15189,a,15342,a),flip(a)]. given #13825 (H,wt=21): 15100 K(K(x \ y,x) * (y * z),u) = K((x * (y / x)) * z,u). [para(10187(a,1),15095(a,1,1)),flip(a)]. given #13826 (H,wt=19): 15345 K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). [para(10166(a,1),15100(a,1,1))]. given #13827 (H,wt=21): 15117 T(x,K(y * (x * z),u)) = (T(x,K(u,z * y)) * z) / z. [para(14877(a,1),10462(a,1,1)),flip(a)]. given #13828 (H,wt=17): 15346 T(x,K(y * (x * z),u)) = T(x,K(u,z * y)). [hyper(240,a,15,a(flip),b,15117,a)]. given #13829 (H,wt=17): 15347 T(x,K(y,(x * z) * u)) = T(x,K(y,z * u)). [hyper(15305,a,15346,a)]. given #13830 (H,wt=21): 15120 (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). [para(5929(a,1),14905(a,1,1))]. given #13831 (H,wt=21): 15158 K(((x \ y) * x) * z,T(u,y)) = K(z * ((x \ y) * x),u). [hyper(15108,a,10329,a)]. given #13832 (H,wt=21): 15159 K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). [hyper(15108,a,7607,a)]. given #13833 (H,wt=19): 15351 K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). [hyper(13089,a,15159,a)]. given #13834 (H,wt=17): 15352 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [hyper(14971,a,15351,a),flip(a)]. given #13835 (H,wt=20): 15353 K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. [para(15351(a,1),14971(a,1))]. given #13836 (H,wt=21): 15208 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(7507(a,1),14868(a,1,1,1))]. given #13837 (H,wt=21): 15255 K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). [para(13680(a,1),15244(a,1,1,2))]. given #13838 (H,wt=19): 15356 K(x / (y \ K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(14205,a,15255,a),flip(a)]. given #13839 (H,wt=21): 15280 T(x,T(y,z) * ((u \ z) * u)) = T(x,((u \ z) * u) * y). [hyper(10312,a,15216,a),flip(a)]. given #13840 (H,wt=17): 15358 T(x,((y \ z) * y) * u) = T(x,T(z,y) * u). [hyper(240,a,15291,a(flip),b,15280,a(flip))]. given #13841 (H,wt=21): 15287 K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). [para(8318(a,1),15236(a,1,2,2))]. given #13842 (H,wt=21): 15294 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). [para(15173(a,1),15286(a,1,2,2))]. given #13843 (H,wt=21): 15298 K(x,y * T(z,(u / w) \ 1)) = K(x,y * T(z,u \ w)). [para(8097(a,1),15293(a,1,2,2)),flip(a)]. given #13844 (H,wt=21): 15319 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(7000(a,1),15315(a,1,1,2))]. given #13845 (H,wt=21): 15334 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(16(a,1),15047(a,1,2,1)),flip(a)]. given #13846 (H,wt=21): 15335 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(15050(a,1),7562(a,1,1))]. given #13847 (H,wt=21): 15344 K(x,y * T(T(z * u,w),u)) = K(x,y * T(u * z,w)). [para(4524(a,1),15343(a,1,2,2)),flip(a)]. given #13848 (H,wt=21): 15350 K((x * (y / x)) * z,T(u,y)) = K(z * ((x \ y) * x),u). [hyper(240,a,15345,a(flip),b,15158,a(flip)),flip(a)]. given #13849 (H,wt=21): 15363 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [hyper(240,a,14944,a,b,15334,a(flip)),flip(a)]. given #13850 (H,wt=22): 14814 K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,u) = w. [para(14806(a,1),10357(a,1))]. given #13851 (H,wt=22): 14849 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7676(a,1),14826(a,1,2))]. given #13852 (H,wt=22): 14866 x * (y * K(z,K(u,w))) != v5 | x * (K(z,K(u,w)) * y) = v5. [para(14833(a,1),6993(a,1,2,2))]. given #13853 (H,wt=22): 15003 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(240,a,8325,a,b,14825,a(flip)),flip(a)]. given #13854 (H,wt=22): 15021 T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. [para(15020(a,1),7879(a,1,1))]. given #13855 (H,wt=22): 15023 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(118(a,1),14837(a,1,2,2)),flip(a)]. given #13856 (H,wt=22): 15030 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(11252(a,1),14854(a,1,2)),flip(a)]. given #13857 (H,wt=22): 15038 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(240,a,8318,a(flip),b,14862,a)]. given #13858 (H,wt=22): 15086 K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. [para(14962(a,1),7796(a,1))]. given #13859 (H,wt=22): 15088 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),15013(a,2,2,2))]. given #13860 (H,wt=22): 15109 K(x,T(y,T(z * u,w))) != v5 | K(x,T(y,T(u * z,w))) = v5. [para(10262(a,1),14986(a,1,2))]. given #13861 (H,wt=22): 15113 K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. [para(4489(a,1),15097(a,1,1))]. given #13862 (H,wt=22): 15114 K((x * (1 / y)) \ z,u) != w | K((x * (y \ 1)) \ z,u) = w. [para(4505(a,1),15097(a,1,1))]. given #13863 (H,wt=22): 15170 T(x,K(y,z) * T(u,K(z,y))) != w | T(x,u * K(z,y)) = w. [para(7570(a,2),15166(a,1,2))]. given #13864 (H,wt=22): 15184 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15173(a,2),19(a,1))]. given #13865 (H,wt=22): 15262 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(15094(a,1),15226(a,1))]. given #13866 (H,wt=22): 15266 T(x,y * (z * K(u,w))) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(10045(a,1),15238(a,1,2))]. given #13867 (H,wt=22): 15273 K(x * (y * K(z,u)),w) != v5 | K(x * (K(z,u) * y),w) = v5. [para(10045(a,1),15240(a,1,1))]. given #13868 (H,wt=22): 15276 K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. [para(9930(a,1),15259(a,1,2))]. given #13869 (H,wt=22): 15277 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10045(a,1),15259(a,1,2))]. given #13870 (H,wt=22): 15299 K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. [para(38(a,1),15256(a,1,2,2))]. given #13871 (H,wt=21): 15373 K(x,y * T(z * u,K(w,v5))) = K(x,y * T(u * z,z)). [hyper(15299,a,15344,a),flip(a)]. given #13872 (H,wt=20): 15374 K(x,y * T(z * u,u)) != w | K(x,y * (u * z)) = w. [para(15373(a,1),15256(a,1))]. given #13873 (H,wt=22): 15301 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(6939(a,1),15257(a,1,2,1))]. given #13874 (H,wt=22): 15302 K(x,(K(y,z) * u) / w) != v5 | K(x,(u * K(y,z)) / w) = v5. [para(7056(a,1),15257(a,1,2,1))]. given #13875 (H,wt=22): 15303 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(7056(a,1),15258(a,1,2,2))]. given #13876 (H,wt=22): 15306 K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. [para(7056(a,1),15269(a,1,1,1))]. given #13877 (H,wt=22): 15307 T(x,(y * K(z,u)) \ w) != v5 | T(x,(y \ K(u,z)) * w) = v5. [para(15211(a,1),14152(a,1))]. given #13878 (H,wt=22): 15310 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(15250(a,1),12821(a,1))]. given #13879 (H,wt=22): 15311 K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. [para(7607(a,1),15263(a,1,2,2))]. given #13880 (H,wt=22): 15312 T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. [para(7607(a,1),15268(a,1,2,1))]. given #13881 (H,wt=22): 15313 T(x,K(y * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(10329(a,1),15268(a,1,2,1))]. given #13882 (H,wt=22): 15316 K(x * (y \ T(z,K(u,w))),v5) != v6 | K(x * (y \ z),v5) = v6. [para(1327(a,1),15272(a,1,1,2))]. given #13883 (H,wt=22): 15318 K(x * K(y,z / u),w) != v5 | K(x * K(y,u \ z),w) = v5. [para(8171(a,1),15272(a,1,1,2))]. given #13884 (H,wt=22): 15320 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(1329(a,1),15275(a,1,2,2))]. given #13885 (H,wt=22): 15325 K(x * (T(y,K(z,u)) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. [para(7536(a,1),15317(a,1,1,2))]. given #13886 (H,wt=22): 15366 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(240,a,14834,a,b,14849,a)]. given #13887 (H,wt=22): 15367 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15029,a,15003,a)]. given #13888 (H,wt=22): 15371 K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. [para(14164(a,1),15276(a,1))]. given #13889 (H,wt=22): 15376 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),15366(a,1,2,2,1)),flip(a)]. given #13890 (H,wt=23): 14808 K(x \ (y * z),T(x / y,z * x)) = K(x \ (y * z),y \ x). [hyper(240,a,11208,a(flip),b,14806,a(flip))]. given #13891 (H,wt=23): 14809 K(x * y,x) \ K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(73,a,14806,a(flip),b,7860,a)]. given #13892 (H,wt=23): 14920 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(240,a,14490,a(flip),b,14876,a(flip)),flip(a)]. given #13893 (H,wt=23): 14964 K((x * y) * K(z \ y,z),u) = K(((z \ y) * z) * x,T(u,y)). [hyper(240,a,10477,a(flip),b,14923,a(flip)),flip(a)]. given #13894 (H,wt=23): 15005 K(x,K(y,z \ u)) * K(x,y / (u / z)) = K(x,(u / z) \ y). [para(14825(a,2),8145(a,1,1))]. given #13895 (H,wt=23): 15017 K(x,K(y,z \ u)) * K(x,(u / z) * y) = K(x,y * (u / z)). [para(14834(a,1),10395(a,1,1))]. given #13896 (H,wt=23): 15175 K((x * (1 / y)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [para(13791(a,1),15078(a,1,2))]. given #13897 (H,wt=23): 15176 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,(y * z) / T(x,y)). [hyper(240,a,12827,a,b,15084,a(flip)),flip(a)]. given #13898 (H,wt=23): 15204 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) * (y \ 1)). [hyper(240,a,13587,a,b,14847,a)]. given #13899 (H,wt=23): 15205 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,z * u) / y). [para(12809(a,1),14847(a,1,1))]. given #13900 (H,wt=17): 15384 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(240,a,14847,a(flip),b,15205,a(flip))]. given #13901 (H,wt=23): 15349 (x * y) \ (T(x,K(z,y * u)) * y) = K(u * (x * y),K(x,z)). [para(15347(a,1),10450(a,1,2,1))]. given #13902 (H,wt=19): 15385 K(x * (y * z),K(y,u)) = K(y,T(K(u,z * x),z)). [hyper(7398,a,15349,a),flip(a)]. given #13903 (H,wt=17): 15386 K(x * (y * z),K(y,u)) = K(y,K(u,x * z)). [para(10266(a,1),15385(a,2,2))]. given #13904 (H,wt=17): 15387 K(x,K(y,z * (x * u))) = K(x,K(y,z * u)). [hyper(7532,a,15386,a)]. given #13905 (H,wt=17): 15388 K(x,K(y,z * (x \ u))) = K(x,K(y,z * u)). [para(14(a,1),15387(a,1,2,2,2)),flip(a)]. given #13906 (H,wt=23): 15354 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,y * z) / u). [para(5043(a,1),15352(a,1,2,1))]. given #13907 (H,wt=21): 15390 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). [hyper(240,a,15384,a(flip),b,15354,a)]. given #13908 (H,wt=23): 15355 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(4980(a,2),15208(a,1,1,1,2))]. given #13909 (H,wt=23): 15361 K(x,y * ((z / u) * K(w,T(u,v5)))) = K(x,y * (z / T(u,w))). [para(7104(a,1),15294(a,2,2,2))]. given #13910 (H,wt=21): 15391 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7193(a,1),15361(a,1,2,2))]. given #13911 (H,wt=23): 15364 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7546(a,2),15334(a,1,1))]. given #13912 (H,wt=23): 15378 K(x,x * y) * K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(5193,a,14809,a)]. given #13913 (H,wt=17): 15394 K(x,K(x * y,z * u)) = K(x,K(y,z \ u)). [hyper(7771,a,15378,a)]. given #13914 (H,wt=15): 15395 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(7768,a,15394,a),flip(a)]. given #13915 (H,wt=15): 15397 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(240,a,15013,a,b,15395,a(flip)),flip(a)]. given #13916 (H,wt=15): 15400 K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). [hyper(240,a,8842,a(flip),b,15397,a)]. given #13917 (H,wt=18): 15396 K(x,K(y,z \ u)) != w | K(x,K(y,z * u)) = w. [para(15394(a,1),7768(a,1))]. given #13918 (H,wt=21): 15398 K(x \ y,T(z,u)) \ K(z,K(u,x * y)) = K(z,x \ y). [para(15395(a,1),7933(a,1,2))]. given #13919 (H,wt=21): 15402 (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). [para(15400(a,1),7454(a,1,2))]. given #13920 (H,wt=19): 15403 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). [hyper(7481,a,15402,a)]. given #13921 (H,wt=19): 15404 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). [hyper(240,a,7560,a,b,15403,a)]. given #13922 (H,wt=23): 15379 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),14920(a,1,1,1,1))]. given #13923 (H,wt=23): 15382 K((x * (y \ 1)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [hyper(15114,a,15175,a)]. given #13924 (H,wt=23): 15392 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(15391(a,1),4977(a,1,1)),flip(a)]. given #13925 (H,wt=21): 15406 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [hyper(240,a,4977,a(flip),b,15392,a)]. given #13926 (H,wt=21): 15408 K(x * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). [hyper(240,a,12762,a(flip),b,15406,a(flip))]. given #13927 (H,wt=23): 15399 K(x,K(y,z * u)) * K(x,y * (z \ u)) = K(x,(z \ u) * y). [para(15395(a,1),10393(a,1,1))]. given #13928 (H,wt=24): 14916 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(8062,a,14876,a),flip(a)]. given #13929 (H,wt=24): 15015 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(240,a,8402,a,b,14834,a),flip(a)]. given #13930 (H,wt=24): 15042 K(x,K(y,z)) * (u * x) != w * v5 | w \ (u * T(x,K(y,z))) = v5. [para(14862(a,2),5980(a,1))]. given #13931 (H,wt=24): 15071 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). [hyper(14475,a,14930,a)]. given #13932 (H,wt=24): 15145 (x * K(y,z)) * (1 / x) != u | K(y,z) * K(x,x \ K(z,y)) = u. [para(14219(a,1),14894(a,1))]. given #13933 (H,wt=24): 15152 K(T(x,y) * z,T(u,K(w,v5))) != v6 | K(z * T(x,y),T(u,x)) = v6. [para(14921(a,1),14952(a,1))]. given #13934 (H,wt=24): 15156 K(x,T(y,z * K(u,z))) != w | K(x,T(y,(z \ u) \ T(u,z))) = w. [para(4917(a,1),15107(a,1,2,2))]. given #13935 (H,wt=24): 15186 K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. [para(8029(a,1),14969(a,1))]. given #13936 (H,wt=24): 15203 K(x,K(y,z)) * K(x,z * T(y,u)) != w | K(x,T(y,u) * z) = w. [para(14838(a,1),7541(a,1,2)),flip(b)]. given #13937 (H,wt=24): 15282 T(x,T(y,z) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(15216(a,1),10312(a,1))]. given #13938 (H,wt=24): 15295 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (u * K(z,T(y,v5)))). [para(11310(a,1),15289(a,1,2)),flip(a)]. given #13939 (H,wt=24): 15300 K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(13680(a,1),15256(a,1,2,2))]. given #13940 (H,wt=21): 15414 K(x,y * (K(z,u) * (w \ 1))) = K(x,y * (w \ K(z,u))). [hyper(15300,a,xx),flip(a)]. given #13941 (H,wt=24): 15323 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(15033(a,1),15275(a,1,2,2))]. given #13942 (H,wt=24): 15326 K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (z * K(u,w))) = v6. [para(15173(a,1),15321(a,1,2,2))]. given #13943 (H,wt=24): 15368 K(x \ y,y \ (x * (z / x))) != u | K(x \ y,z / T(y,x)) = u. [para(12819(a,2),15086(a,1))]. given #13944 (H,wt=19): 15415 K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,x)). [hyper(15368,a,14729,a)]. given #13945 (H,wt=23): 15416 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ T(y * z,y)). [hyper(240,a,15176,a,b,15415,a(flip)),flip(a)]. given #13946 (H,wt=21): 15417 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ (z * y)). [hyper(240,a,12812,a(flip),b,15416,a)]. given #13947 (H,wt=24): 15372 K(x,y * (z \ K(u,w))) != v5 | K(x,y * (K(u,w) * (z \ 1))) = v5. [para(13577(a,1),15277(a,1,2,2))]. given #13948 (H,wt=24): 15375 K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. [para(5052(a,1),15320(a,1,2,2))]. given #13949 (H,wt=21): 15419 K(x,y * (z * (u * K(z,w)))) = K(x,y * (T(z,w) * u)). [hyper(15375,a,xx),flip(a)]. given #13950 (H,wt=24): 15377 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),15367(a,1,2,1,1))]. given #13951 (H,wt=24): 15383 K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. [para(15204(a,2),13799(a,1))]. given #13952 (H,wt=20): 15421 K(x,T(y,y * z) / u) != w | K(x,T(y,z) / u) = w. [para(15205(a,1),15383(a,1))]. given #13953 (H,wt=24): 15407 K(x * (y / T(z,T(u,w))),v5) != v6 | K(x * (y / T(z,u)),v5) = v6. [para(15392(a,2),4999(a,1))]. given #13954 (H,wt=24): 15411 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(7094(a,1),14916(a,1,1,1))]. given #13955 (H,wt=24): 15420 K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. [para(7507(a,1),15383(a,1,2))]. given #13956 (H,wt=24): 15422 K(x * (y / T(z,u)),w) != v5 | K(x * (y / T(z,T(u,v6))),w) = v5. [para(7897(a,1),15407(a,1,1,2,2))]. given #13957 (H,wt=25): 14820 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(14647(a,2),14807(a,2,2)),flip(a)]. given #13958 (H,wt=21): 15423 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(15260,a,14820,a)]. given #13959 (H,wt=21): 15424 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8057,a,15423,a)]. given #13960 (H,wt=17): 15425 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(15257,a,15424,a),flip(a)]. given #13961 (H,wt=15): 15426 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(240,a,7610,a(flip),b,15425,a)]. given #13962 (H,wt=15): 15428 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(14993,a,15426,a)]. given #13963 (H,wt=17): 15434 T(x,T(y,K(z,u) * w)) = x * K(x,T(y,w)). [para(15426(a,1),4800(a,2,2))]. given #13964 (H,wt=15): 15456 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(240,a,4800,a,b,15434,a)]. given #13965 (H,wt=15): 15457 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [hyper(15001,a,15456,a)]. given #13966 (H,wt=18): 15427 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(15425(a,2),7715(a,1))]. given #13967 (H,wt=18): 15441 K(x,T(y,z)) != u | K(x,T(y,z * K(w,v5))) = u. [para(15426(a,1),14993(a,1))]. given #13968 (H,wt=18): 15455 K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. [para(15428(a,1),15108(a,1))]. given #13969 (H,wt=19): 15438 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(9552(a,1),15426(a,1,2,2))]. given #13970 (H,wt=19): 15443 K(x,T(y,(z * u) * K(w,v5))) = K(x,T(y,u * z)). [hyper(240,a,14932,a,b,15428,a)]. given #13971 (H,wt=19): 15447 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5953(a,1),15428(a,1,2,2))]. given #13972 (H,wt=19): 15452 T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). [para(15428(a,1),9898(a,1,1,2))]. given #13973 (H,wt=15): 15464 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(9899,a,15452,a),flip(a)]. given #13974 (H,wt=15): 15465 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(15267,a,15464,a)]. given #13975 (H,wt=15): 15467 T(x,K(y,K(z,u) \ w)) = T(x,K(y,w)). [para(7140(a,1),15464(a,1,2,2))]. given #13976 (H,wt=15): 15469 T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). [hyper(7578,a,15465,a)]. given #13977 (H,wt=17): 15473 T(x,K(y,T(z,u) * w)) = T(x,K(z * w,y)). [para(4783(a,1),15469(a,1,2,1)),flip(a)]. given #13978 (H,wt=19): 15461 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,u * z)). [para(6661(a,1),15443(a,1,2,2))]. given #13979 (H,wt=19): 15466 T(x,K(y,z * (u / w))) = T(x,K(y,z * (w \ u))). [para(6231(a,1),15464(a,1,2,2)),flip(a)]. given #13980 (H,wt=19): 15468 T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). [para(14184(a,1),15464(a,1,2,2))]. given #13981 (H,wt=20): 15459 K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. [para(5078(a,1),15427(a,1,2,2))]. given #13982 (H,wt=19): 15476 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). [hyper(15459,a,14609,a)]. given #13983 (H,wt=21): 15429 K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). [hyper(10338,a,15426,a),flip(a)]. given #13984 (H,wt=21): 15445 K(x,T(L(y,z,u),w * K(v5,v6))) = K(x,L(T(y,w),z,u)). [para(40(a,2),15428(a,2,2))]. given #13985 (H,wt=21): 15449 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(15428(a,1),7611(a,1,1))]. given #13986 (H,wt=21): 15477 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [para(40(a,2),15445(a,1,2))]. given #13987 (H,wt=21): 15480 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [para(4813(a,1),15477(a,1,2,1,2))]. given #13988 (H,wt=21): 15482 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [para(6988(a,1),15477(a,1,2,1,2))]. given #13989 (H,wt=23): 15458 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) \ w)). [para(8876(a,1),15457(a,1,2,2))]. given #13990 (H,wt=23): 15460 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(240,a,7465,a,b,15438,a)]. given #13991 (H,wt=19): 15484 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(7826,a,15460,a)]. given #13992 (H,wt=15): 15488 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(4981(a,1),15484(a,1,2,2)),flip(a)]. given #13993 (H,wt=15): 15492 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(5178(a,1),15484(a,1,2,2)),flip(a)]. given #13994 (H,wt=15): 15499 K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). [hyper(240,a,15395,a,b,15488,a(flip)),flip(a)]. given #13995 (H,wt=15): 15505 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [para(7140(a,1),15488(a,1,2,2))]. given #13996 (H,wt=15): 15510 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(240,a,7491,a(flip),b,15492,a)]. given #13997 (H,wt=15): 15511 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(240,a,15397,a,b,15492,a(flip)),flip(a)]. given #13998 (H,wt=15): 15520 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(240,a,7507,a,b,15511,a)]. given #13999 (H,wt=15): 15523 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8081,a,15520,a),flip(a)]. given #14000 (H,wt=15): 15524 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7545,a,15520,a)]. given #14001 (H,wt=15): 15526 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(15102,a,15523,a)]. given #14002 (H,wt=17): 15486 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(1127(a,2),15484(a,1,2,2,2))]. given #14003 (H,wt=17): 15489 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4779(a,1),15484(a,1,2,2))]. given #14004 (H,wt=17): 15500 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). [para(1327(a,1),15488(a,1,2,2))]. given #14005 (H,wt=17): 15501 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5926(a,1),15488(a,1,2,2)),flip(a)]. given #14006 (H,wt=17): 15506 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(7399(a,1),15488(a,1,2,2))]. given #14007 (H,wt=17): 15528 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1326(a,1),15523(a,1,2,1))]. given #14008 (H,wt=17): 15534 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [hyper(240,a,14837,a,b,15486,a)]. given #14009 (H,wt=18): 15518 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w)) = v5. [para(15510(a,2),7532(a,1))]. given #14010 (H,wt=18): 15521 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(15511(a,2),7545(a,1))]. given #14011 (H,wt=18): 15525 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15520(a,1),8081(a,1))]. given #14012 (H,wt=18): 15533 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(15526(a,1),15102(a,1))]. given #14013 (H,wt=19): 15487 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(4774(a,1),15484(a,1,2,2,2))]. given #14014 (H,wt=19): 15491 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(4832(a,1),15484(a,1,2,2,2))]. given #14015 (H,wt=19): 15493 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5371(a,2),15484(a,1,2,2))]. given #14016 (H,wt=19): 15494 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(5380(a,1),15484(a,1,2,2))]. given #14017 (H,wt=19): 15495 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(7611(a,1),15484(a,1,2,2,2))]. given #14018 (H,wt=19): 15496 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(9595(a,1),15484(a,1,2,2))]. given #14019 (H,wt=19): 15502 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6066(a,2),15488(a,1,2,2))]. given #14020 (H,wt=19): 15503 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5953(a,1),15488(a,1,2,2))]. given #14021 (H,wt=19): 15504 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6068(a,2),15488(a,1,2,2))]. given #14022 (H,wt=19): 15507 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9298(a,1),15488(a,1,2,2)),flip(a)]. given #14023 (H,wt=19): 15508 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(9930(a,1),15488(a,1,2,2))]. given #14024 (H,wt=19): 15509 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(14184(a,1),15488(a,1,2,2))]. given #14025 (H,wt=19): 15531 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(240,a,15523,a,b,15524,a)]. given #14026 (H,wt=19): 15549 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [hyper(15083,a,15495,a)]. given #14027 (H,wt=19): 15557 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8079,a,15508,a)]. given #14028 (H,wt=19): 15560 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,7969,a,b,15557,a)]. given #14029 (H,wt=20): 15536 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(15486(a,2),15083(a,1))]. given #14030 (H,wt=20): 15541 K(x,K(y,T(z,u) \ w)) != v5 | K(x,K(y,z \ w)) = v5. [para(5078(a,1),15518(a,1,2,2))]. given #14031 (H,wt=20): 15544 K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. [para(8132(a,1),15518(a,1,2,2))]. given #14032 (H,wt=21): 15485 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15154,a,15484,a)]. given #14033 (H,wt=19): 15566 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(240,a,15018,a(flip),b,15485,a)]. given #14034 (H,wt=19): 15567 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8079,a,15566,a)]. given #14035 (H,wt=19): 15571 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7641(a,1),15567(a,1,2,2,2)),flip(a)]. given #14036 (H,wt=21): 15490 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(4783(a,1),15484(a,1,2,2,2)),flip(a)]. given #14037 (H,wt=21): 15519 K(x,K(y,z)) * (x * K(u,w)) = T(x * K(u,w),K(y,z)). [para(15510(a,1),15024(a,1,1))]. given #14038 (H,wt=19): 15576 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(5240,a,15519,a),flip(a)]. given #14039 (H,wt=19): 15577 T(x,K(y,z)) \ T(x * K(u,w),K(y,z)) = K(u,w). [hyper(73,a,15519,a(flip),b,4815,a(flip))]. given #14040 (H,wt=19): 15578 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5890,a,15576,a),flip(a)]. given #14041 (H,wt=21): 15522 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8459,a,15520,a)]. given #14042 (H,wt=21): 15527 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8326,a,15523,a)]. given #14043 (H,wt=21): 15532 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8326,a,15526,a)]. given #14044 (H,wt=21): 15553 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1326(a,1),15507(a,1,2,2,1))]. given #14045 (H,wt=21): 15554 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5474(a,1),15507(a,1,2,2,1))]. given #14046 (H,wt=21): 15559 K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). [para(7104(a,1),15549(a,1,2,2,1))]. given #14047 (H,wt=21): 15569 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5253(a,1),15566(a,1,2,2,1))]. given #14048 (H,wt=21): 15574 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(240,a,14837,a,b,15490,a)]. given #14049 (H,wt=21): 15585 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(240,a,8317,a,b,15522,a)]. given #14050 (H,wt=21): 15588 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(240,a,15557,a(flip),b,15569,a(flip)),flip(a)]. given #14051 (H,wt=22): 15540 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(240,a,15377,a(flip),b,15528,a(flip))]. given #14052 (H,wt=22): 15542 K(x,K(y,((z * u) / z) * w)) != v5 | K(x,K(y,u * w)) = v5. [para(5353(a,1),15518(a,1,2,2))]. given #14053 (H,wt=22): 15545 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(10159(a,1),15518(a,1,2,2))]. given #14054 (H,wt=22): 15546 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(10052(a,1),15518(a,1,2,2))]. given #14055 (H,wt=22): 15556 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15507(a,2),15083(a,1))]. given #14056 (H,wt=22): 15561 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15557(a,1),8079(a,1))]. given #14057 (H,wt=22): 15562 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15557(a,2),8079(a,1))]. given #14058 (H,wt=22): 15563 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,15376,a(flip),b,15560,a)]. given #14059 (H,wt=22): 15565 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15560(a,1),8079(a,1))]. given #14060 (H,wt=22): 15580 T(x,K(y,z)) * K(u,w) != v5 | T(x * K(u,w),K(y,z)) = v5. [para(15577(a,1),224(a,1,2)),flip(b)]. given #14061 (H,wt=22): 15595 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(14837(a,1),15556(a,1))]. given #14062 (H,wt=23): 15462 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7825,a,15447,a)]. given #14063 (H,wt=22): 15597 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(15462(a,1),7820(a,1))]. given #14064 (H,wt=23): 15479 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3454(a,1),15449(a,1,1))]. given #14065 (H,wt=21): 15598 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(14197,a,15479,a),flip(a)]. given #14066 (H,wt=23): 15483 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) * w)). [hyper(14815,a,15458,a(flip)),flip(a)]. given #14067 (H,wt=23): 15550 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(8269(a,1),15495(a,1,2,2,2))]. given #14068 (H,wt=23): 15555 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6233(a,1),15507(a,1,2,2,1))]. given #14069 (H,wt=23): 15570 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6355(a,1),15567(a,1,2,2,2))]. given #14070 (H,wt=23): 15587 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(197(a,1),15553(a,1,2,2,1,1)),flip(a)]. given #14071 (H,wt=23): 15589 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(124(a,1),15588(a,1,2,2,2,1)),flip(a)]. given #14072 (H,wt=23): 15601 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(240,a,7969,a,b,15570,a)]. given #14073 (H,wt=23): 15602 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15083,a,15587,a)]. given #14074 (H,wt=23): 15603 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15561,a,15601,a)]. given #14075 (H,wt=23): 15604 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(62(a,1),15602(a,1,2,2,2,1,2)),flip(a)]. given #14076 (H,wt=23): 15606 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(240,a,15508,a,b,15603,a)]. given #14077 (H,wt=23): 15608 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(4832(a,1),15606(a,1,2,2,2,2))]. given #14078 (H,wt=24): 15437 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(15426(a,1),6989(a,1,2))]. given #14079 (H,wt=24): 15450 K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. [para(15428(a,1),7778(a,1))]. given #14080 (H,wt=24): 15575 K(x,K(y,z * (T(u,w) * v5))) != v6 | K(x,K(y,(u * v5) * z)) = v6. [para(15490(a,2),15083(a,1))]. given #14081 (H,wt=24): 15586 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(15522(a,2),8326(a,1))]. given #14082 (H,wt=24): 15593 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(1327(a,1),15556(a,1,2,2,1))]. given #14083 (H,wt=24): 15594 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(7104(a,1),15556(a,1,2,2,1))]. given #14084 (H,wt=24): 15599 ((1 / x) * K(y,z)) * K(u,x) != w | K(u,x) / (K(z,y) * x) = w. [para(15479(a,1),14197(a,1))]. given #14085 (H,wt=25): 15000 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(9748(a,2),14947(a,1))]. given #14086 (H,wt=25): 15032 K(x,K(y,z)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). [para(14856(a,1),10393(a,1,1))]. given #14087 (H,wt=23): 15609 K(x,((y \ z) * y) * u) = K(x,K(z,u)) * K(x,u * T(z,y)). [para(15338(a,1),15032(a,1,2)),flip(a)]. given #14088 (H,wt=17): 15610 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(240,a,14839,a(flip),b,15609,a)]. given #14089 (H,wt=20): 15611 K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. [para(15609(a,2),15203(a,1))]. given #14090 (H,wt=25): 15067 T(x,K(y,z)) * K(K(z,y) * x,u) = K(y,z) * T(x * K(z,y),u). [para(14915(a,2),7874(a,1,2))]. given #14091 (H,wt=25): 15074 K(x,T((y \ (z * u)) \ 1,u \ y)) = K(x,(T(z,y / u) * u) \ y). [hyper(240,a,14673,a(flip),b,14930,a(flip))]. given #14092 (H,wt=23): 15613 K(x,(T(y,z / u) * u) \ z) = K(x,T((y * u) \ z,u \ z)). [hyper(10955,a,15074,a),flip(a)]. given #14093 (H,wt=25): 15155 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(118(a,1),15083(a,1,2,2))]. given #14094 (H,wt=25): 15174 T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). [para(15064(a,1),14113(a,1,2))]. given #14095 (H,wt=23): 15615 T(x,y) * K(z,T(z \ x,y)) = ((x / z) \ T(x,y)) * (x / z). [para(15063(a,1),15174(a,1,2))]. given #14096 (H,wt=19): 15616 ((x / y) \ T(x,z)) * (x / y) = y * (T(x,z) / y). [hyper(10626,a,15615,a),flip(a)]. given #14097 (H,wt=17): 15617 (x * K(y,z)) * (y / x) = x * (T(y,z) / x). [para(14089(a,1),15616(a,1,1))]. given #14098 (H,wt=17): 15618 (x * K(y,z)) \ (x * (T(y,z) / x)) = y / x. [hyper(81,a,15617,a)]. given #14099 (H,wt=12): 15619 L(x / y,K(x,z),y) = x / y. [hyper(13516,a,15618,a)]. given #14100 (H,wt=25): 15206 K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(7954(a,1),14857(a,1,2))]. given #14101 (H,wt=25): 15213 a(T(K(x,K(y,z)) * u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). [para(15207(a,1),4266(a,1,2))]. given #14102 (H,wt=25): 15253 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(240,a,14490,a,b,15244,a),flip(a)]. given #14103 (H,wt=24): 15621 K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. [para(15253(a,2),15271(a,1))]. given #14104 (H,wt=25): 15359 T(x,((y * z) \ u) * (T(y,z) * z)) = T(x,T(u,y * z) * K(y,z)). [para(11085(a,1),15358(a,1,2))]. given #14105 (H,wt=25): 15360 K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). [para(15033(a,1),15287(a,1,2,2,2))]. given #14106 (H,wt=25): 15369 K(L(x,y,y \ 1) \ z,u) != w | K(((y \ 1) * (y * x)) \ z,u) = w. [para(2709(a,1),15113(a,1,1,1))]. given #14107 (H,wt=25): 15370 K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(15262,a,12924,a)]. given #14108 (H,wt=25): 15410 K(x,(y \ z) * u) / (x \ K(x,u * (y \ z))) = T(x,K(u,y * z)). [hyper(75,a,15399,a(flip),b,4780,a)]. given #14109 (H,wt=15): 15623 T(x,K(y \ z,u)) = T(x,K(u,y * z)). [hyper(240,a,10399,a(flip),b,15410,a(flip)),flip(a)]. given #14110 (H,wt=15): 15624 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(7578,a,15623,a)]. given #14111 (H,wt=15): 15625 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(240,a,15214,a,b,15624,a(flip)),flip(a)]. given #14112 (H,wt=18): 15627 T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. [para(15624(a,2),15267(a,1))]. given #14113 (H,wt=18): 15629 T(x,K(y,z \ u)) != w | T(x,K(y,z * u)) = w. [para(8006(a,1),15627(a,1))]. given #14114 (H,wt=21): 15628 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). [para(15625(a,1),10321(a,1,1))]. given #14115 (H,wt=24): 15626 T(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. [para(15624(a,1),10294(a,1,1))]. given #14116 (H,wt=25): 15418 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). [para(15417(a,1),12755(a,2,2))]. given #14117 (H,wt=25): 15472 (x * T(y,K(x,z))) \ (T(x,K(u,w) * z) * y) = K(x,K(w,u) * z). [para(15465(a,1),14596(a,1,1,2))]. given #14118 (H,wt=25): 15481 K(x,L(T(y,z * (u * K(w,v5))),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). [para(6661(a,1),15477(a,1,2,1,2))]. given #14119 (H,wt=25): 15513 K(x,K(y,z)) * K(y,(K(u,w) * z) \ x) = K(y,x / (K(u,w) * z)). [para(15492(a,1),7941(a,1,1))]. given #14120 (H,wt=25): 15514 K(x,K(y,z)) * K(x,(z \ K(u,w)) * y) = K(x,y * (z \ K(u,w))). [para(15499(a,1),10395(a,1,1))]. given #14121 (H,wt=25): 15551 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15503(a,2),8316(a,1,1))]. given #14122 (H,wt=25): 15612 T(x,K(y,z)) * K(K(y,z) * x,u) = K(z,y) * T(x * K(y,z),u). [para(7560(a,1),15067(a,1,1))]. given #14123 (H,wt=25): 15622 K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). [para(14529(a,1),15360(a,1,2,2))]. given #14124 (H,wt=26): 15006 K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. [para(14825(a,2),10392(a,1,1))]. given #14125 (H,wt=26): 15057 K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(14886(a,1),14668(a,1))]. given #14126 (H,wt=26): 15131 K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. [para(15073(a,1),7797(a,1))]. given #14127 (H,wt=22): 15635 K(x / (y * (1 / z)),u) != w | K(x / (y * (z \ 1)),u) = w. [para(15382(a,1),15131(a,1))]. given #14128 (H,wt=26): 15137 K(K(x * (y * z),x * y) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(106(a,1),15135(a,1,1,1,1))]. given #14129 (H,wt=23): 15636 K(K(x * (y * z),x * y) * u,w) = K(K(z,x * y) * u,w). [para(13893(a,1),15137(a,2,1,1))]. given #14130 (H,wt=26): 15146 K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. [para(15051(a,2),14894(a,1,1))]. given #14131 (H,wt=26): 15183 x * (y * K(z,K(u,w))) != v5 * v6 | (x * (K(z,K(u,w)) * y)) / v6 = v5. [para(15171(a,1),381(a,1,1))]. given #14132 (H,wt=26): 15202 T(x,(y * z) * (u / (z * y))) != w | T(x,K(y,z) * T(u,z * y)) = w. [para(10159(a,1),15192(a,1,2))]. given #14133 (H,wt=23): 15637 T(x,K(y,z) * T(u,z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(15202,a,xx)]. given #14134 (H,wt=26): 15322 K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. [para(9930(a,1),15275(a,1,2,2))]. given #14135 (H,wt=26): 15328 L(x,y,T(z * K(u,w),u \ z)) != v5 | L(x,y,T(u,w) * (z / u)) = v5. [para(14940(a,1),13020(a,1,3))]. given #14136 (H,wt=26): 15463 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(15447(a,1),7826(a,1))]. given #14137 (H,wt=26): 15543 K(x,K(y,R(T(z,u),w,v5) * v6)) != v7 | K(x,K(y,R(z,w,v5) * v6)) = v7. [para(5102(a,1),15518(a,1,2,2))]. given #14138 (H,wt=26): 15591 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(240,a,14069,a(flip),b,15540,a(flip)),flip(a)]. given #14139 (H,wt=26): 15596 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8269(a,1),15595(a,1,2,2,2))]. given #14140 (H,wt=26): 15605 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15602(a,1),15083(a,1))]. given #14141 (H,wt=26): 15607 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(15603(a,2),15561(a,1))]. given #14142 (H,wt=26): 15630 (x \ T(y,x)) * (z / (x \ T(y,x))) != u | (y / x) * (z / (y / x)) = u. [para(15418(a,2),14537(a,1))]. given #14143 (H,wt=26): 15638 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4869(a,1),15607(a,1,2,2,2,2))]. given #14144 (H,wt=27): 14983 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(14957(a,1),11703(a,1,2))]. given #14145 (H,wt=27): 15104 K(x,T(y,R(z \ u,z,z \ w))) != v5 | K(x,T(y,(u * (z \ w)) / w)) = v5. [para(720(a,1),14986(a,1,2,2))]. given #14146 (H,wt=27): 15126 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(w,K((y * u) \ z,T(x,v5))). [para(14490(a,1),15008(a,1,2))]. given #14147 (H,wt=25): 15640 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,(y * u) \ z)). [para(14823(a,1),15126(a,2,2))]. given #14148 (H,wt=27): 15381 K(x,K(y,T(z,x) \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(73,a,9561,a(flip),b,15017,a)]. given #14149 (H,wt=25): 15641 K(x,K(y,z \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [para(15506(a,1),15381(a,1,1))]. given #14150 (H,wt=25): 15642 K(x,K(y,z \ u)) * K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(7540,a,15641,a)]. given #14151 (H,wt=20): 15644 K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. [para(15642(a,1),15006(a,1))]. given #14152 (H,wt=27): 15475 K(x / (y * (z * K(u,w))),T(v5,z * y)) = K((y * (z * K(u,w))) \ x,v5). [hyper(7783,a,15461,a),flip(a)]. given #14153 (H,wt=27): 15535 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(15486(a,1),7941(a,1,1))]. given #14154 (H,wt=27): 15538 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). [para(15489(a,1),10393(a,1,1))]. given #14155 (H,wt=27): 15539 K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). [para(15500(a,1),8147(a,1,1))]. given #14156 (H,wt=27): 15558 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(240,a,8616,a(flip),b,15531,a(flip))]. given #14157 (H,wt=23): 15648 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(240,a,15585,a(flip),b,15558,a)]. given #14158 (H,wt=20): 15650 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(240,a,8393,a(flip),b,15648,a)]. given #14159 (H,wt=16): 15651 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15525,a,15650,a)]. given #14160 (H,wt=27): 15573 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15571(a,1),15173(a,1,1))]. given #14161 (H,wt=19): 15653 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15184,a,15573,a),flip(a)]. given #14162 (H,wt=15): 15654 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [para(15(a,1),15653(a,1,2,2)),flip(a)]. given #14163 (H,wt=21): 15655 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(7104(a,1),15653(a,1,2,2,1))]. given #14164 (H,wt=21): 15656 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15654(a,1),7611(a,1,1))]. given #14165 (H,wt=19): 15658 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(14172,a,15656,a)]. given #14166 (H,wt=21): 15657 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8091,a,15655,a)]. given #14167 (H,wt=21): 15659 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(240,a,14176,a,b,15658,a(flip)),flip(a)]. given #14168 (H,wt=19): 15663 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(15599,a,15659,a)]. given #14169 (H,wt=23): 15661 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(124(a,1),15657(a,1,2,2,2,2)),flip(a)]. given #14170 (H,wt=26): 15660 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(240,a,8265,a(flip),b,15657,a)]. given #14171 (H,wt=27): 15632 K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). [para(7399(a,1),15481(a,1,2,1,2,2))]. given #14172 (H,wt=27): 15645 K(x / (y * (z * K(u,w))),T(v5,y * z)) = K((y * (z * K(u,w))) \ x,v5). [hyper(14993,a,15475,a)]. given #14173 (H,wt=27): 15646 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,u))). [hyper(240,a,15043,a(flip),b,15535,a(flip)),flip(a)]. given #14174 (H,wt=27): 15662 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15657(a,1),4946(a,1,1)),flip(a)]. given #14175 (H,wt=28): 15061 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(14893(a,1),94(a,1,1,2))]. given #14176 (H,wt=28): 15077 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,(w * u) \ z)) * v5). [para(14930(a,1),14484(a,2,2,1))]. given #14177 (H,wt=28): 15185 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(14875(a,2),14935(a,2,2,1))]. given #14178 (H,wt=28): 15304 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(9259(a,1),15260(a,1,2,1))]. given #14179 (H,wt=28): 15365 T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7229(a,2),15363(a,1,1))]. given #14180 (H,wt=28): 15584 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(15578(a,1),8956(a,1))]. given #14181 (H,wt=28): 15634 K(x,y * (z \ K(u,w))) != K(x,K(y,z)) * v5 | K(x,(z \ K(u,w)) * y) = v5. [para(15514(a,1),19(a,1))]. given #14182 (H,wt=28): 15667 T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7451(a,1),15365(a,1,1,1,2))]. given #14183 (H,wt=28): 15668 T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(15034(a,2),15667(a,1,1,1))]. given #14184 (H,wt=23): 15669 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(345(a,1),15668(a,1,1))]. given #14185 (H,wt=29): 14843 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),y)). [hyper(240,a,11474,a,b,14826,a(flip)),flip(a)]. given #14186 (H,wt=25): 15671 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u,y)). [hyper(240,a,15523,a(flip),b,14843,a)]. given #14187 (H,wt=28): 15673 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) != w | K(y,K(z,u)) = w. [para(15671(a,2),7511(a,1))]. given #14188 (H,wt=15): 15674 K(K(x,y) * z,T(z,u)) = K(x,K(y,z)). [hyper(15673,a,12845,a),flip(a)]. given #14189 (H,wt=29): 14851 K(x,K(y,z)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(14826(a,1),11467(a,1,1))]. given #14190 (H,wt=29): 15068 x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(14915(a,1),13977(a,1,2))]. given #14191 (H,wt=29): 15119 x * T(L(y / x,z,u) * K(x,K(w,v5)),x) = T(x,K(w,v5)) * L(x \ y,z,u). [para(6886(a,2),14882(a,1,2))]. given #14192 (H,wt=29): 15290 K(x / (K(y,T(z,u)) * w),T(v5,K(z,y) * w)) = K((K(y,T(z,u)) * w) \ x,v5). [para(15278(a,1),7162(a,1,2))]. given #14193 (H,wt=29): 15471 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(15465(a,1),14572(a,1,2,1,2))]. given #14194 (H,wt=25): 15678 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(15465(a,1),15471(a,1,2)),flip(a)]. given #14195 (H,wt=19): 15679 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(240,a,14572,a(flip),b,15678,a)]. given #14196 (H,wt=19): 15682 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(15313,a,15679,a)]. given #14197 (H,wt=19): 15683 T(x,K(y,K(z,u) * w) * v5) = T(x,K(w,y) * v5). [hyper(14643,a,15679,a)]. given #14198 (H,wt=22): 15680 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(15678(a,2),14580(a,1))]. given #14199 (H,wt=23): 15686 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),w) * v5). [para(6231(a,1),15682(a,1,2,1,1)),flip(a)]. given #14200 (H,wt=25): 15685 K(K(x * K(y,z),u) * w,v5) = (v5 * v6) / (T(v5,K(x,u) * w) * v6). [para(15682(a,1),5070(a,1,2,1)),flip(a)]. given #14201 (H,wt=19): 15688 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(240,a,5070,a(flip),b,15685,a)]. given #14202 (H,wt=19): 15689 K(K(x,y * K(z,u)) * w,v5) = K(K(y,x) * w,v5). [hyper(15151,a,15688,a)]. given #14203 (H,wt=19): 15690 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [para(6988(a,1),15688(a,1,1,1,1))]. given #14204 (H,wt=19): 15691 K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). [hyper(240,a,14915,a(flip),b,15689,a)]. given #14205 (H,wt=19): 15692 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(15069,a,15690,a)]. given #14206 (H,wt=17): 15696 K(x * K(y,T(z,u)),w) = K(K(z,y) * x,w). [para(1127(a,2),15692(a,1,1,2,2))]. given #14207 (H,wt=19): 15695 K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5). [hyper(240,a,15065,a(flip),b,15692,a)]. given #14208 (H,wt=21): 15693 K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). [hyper(8088,a,15691,a),flip(a)]. given #14209 (H,wt=19): 15698 K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). [para(14905(a,1),15693(a,1,1))]. given #14210 (H,wt=21): 15694 K(x * K(y * T(z,u),w),v5) = K(K(w,y * z) * x,v5). [para(7103(a,1),15691(a,1,1,1,2)),flip(a)]. given #14211 (H,wt=22): 15697 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(15695(a,2),15168(a,1))]. given #14212 (H,wt=20): 15700 K(x * K(y,T(z,u)),w) != v5 | K(K(z,y) * x,w) = v5. [para(1127(a,2),15697(a,1,1,2,2))]. given #14213 (H,wt=22): 15699 K(T(x,y) * K(z,u),w) != v5 | K(K(u,z) * x,T(w,y)) = v5. [para(15698(a,2),15168(a,1))]. given #14214 (H,wt=24): 15701 K((x * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. [para(14688(a,2),15699(a,1))]. given #14215 (H,wt=26): 15687 T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. [para(15683(a,2),15313(a,1))]. given #14216 (H,wt=29): 15547 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). [para(15491(a,1),7941(a,1,1))]. given #14217 (H,wt=29): 15548 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). [para(15494(a,1),10393(a,1,1))]. given #14218 (H,wt=29): 15633 K(x,L(T(y,z * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [para(9199(a,1),15481(a,1,2,1,2,2))]. given #14219 (H,wt=29): 15675 K(x,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(7540,a,14851,a)]. given #14220 (H,wt=29): 15677 x * K(y * K(z,u),K(u,z) * (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(5183(a,1),15068(a,1,2,2))]. given #14221 (H,wt=30): 15014 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(240,a,8727,a,b,14834,a),flip(a)]. given #14222 (H,wt=24): 15702 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(240,a,15520,a(flip),b,15014,a)]. given #14223 (H,wt=24): 15703 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15029,a,15702,a)]. given #14224 (H,wt=23): 15705 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(240,a,14454,a(flip),b,15703,a(flip))]. given #14225 (H,wt=23): 15706 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7545,a,15705,a)]. given #14226 (H,wt=19): 15707 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(240,a,15031,a(flip),b,15706,a(flip))]. given #14227 (H,wt=19): 15708 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(65(a,1),15707(a,1,2,2,1,2))]. given #14228 (H,wt=17): 15709 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(240,a,11920,a(flip),b,15708,a(flip))]. given #14229 (H,wt=17): 15710 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(240,a,15504,a(flip),b,15709,a(flip))]. given #14230 (H,wt=17): 15711 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7489,a,15710,a)]. given #14231 (H,wt=17): 15712 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(240,a,7487,a,b,15711,a)]. given #14232 (H,wt=30): 15172 (K(x,K(y,z)) * u) * w != v5 * (u * K(x,K(y,z))) | T(v5,K(x,K(y,z)) * u) = w. [para(14864(a,1),183(a,2))]. given #14233 (H,wt=30): 15180 (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. [para(15118(a,1),12853(a,1))]. given #14234 (H,wt=30): 15199 K(x,K(y * z,u) * (w / ((y \ 1) \ z))) != v5 | K(x,w / T((y \ 1) \ z,u)) = v5. [para(13574(a,1),15187(a,1,2,1))]. given #14235 (H,wt=30): 15200 T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(6833(a,1),15191(a,1,2,1))]. given #14236 (H,wt=30): 15296 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(15289(a,1),14935(a,2,2,1))]. given #14237 (H,wt=30): 15537 K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) = K(x,K(y,R(T(w,z * u),z,u) * v5)). [para(966(a,1),15489(a,1,2,2,1)),flip(a)]. given #14238 (H,wt=29): 15715 K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) != v6 | K(x,K(y,R(w,z,u) * v5)) = v6. [para(15537(a,2),15543(a,1))]. given #14239 (H,wt=30): 15647 K(x,(T(y,z) * u) * w) != K(x,K(w,y * u)) * v5 | K(x,w * (T(y,z) * u)) = v5. [para(15538(a,1),19(a,1))]. given #14240 (H,wt=31): 15072 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(240,a,14491,a,b,14930,a),flip(a)]. given #14241 (H,wt=31): 15177 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(124(a,1),15089(a,2,2,2))]. given #14242 (H,wt=31): 15179 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7872(a,1),15116(a,1,1)),flip(a)]. given #14243 (H,wt=27): 15717 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7872(a,1),15179(a,1,2,2))]. given #14244 (H,wt=31): 15409 K(x * ((y * z) / T(u,L(z,y,z) * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). [para(4180(a,1),15408(a,1,1,2,1))]. given #14245 (H,wt=28): 15718 K(x * (y \ T(L(z,u,z) * u,z)),w) = K(x * ((u * z) / T(y,z * u)),w). [para(12891(a,1),15409(a,1,1,2,2)),flip(a)]. given #14246 (H,wt=23): 15719 K(x * ((y * z) / T(u,z * y)),w) = K(x * (u \ (y * z)),w). [para(4180(a,1),15718(a,1,1,2,2)),flip(a)]. given #14247 (H,wt=31): 15470 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(15465(a,1),11459(a,2,2))]. given #14248 (H,wt=31): 15474 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(15473(a,1),14576(a,1,2,1,2))]. given #14249 (H,wt=31): 15516 (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(15505(a,1),15178(a,1,1)),flip(a)]. given #14250 (H,wt=27): 15725 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(7872(a,1),15516(a,1,2,2)),flip(a)]. given #14251 (H,wt=31): 15665 K(x,(y * T(z,u \ 1)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(2920(a,1),15646(a,1,1,2,1,2))]. given #14252 (H,wt=31): 15666 (x * K(y,z)) \ (T(x,K(u,w) * v5) * K(y,z)) != v6 | L(K(x,v5 * K(u,w)),x,v7) = v6. [para(15185(a,1),12992(a,1))]. given #14253 (H,wt=31): 15716 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6008(a,1),15072(a,1,2,2))]. given #14254 (H,wt=27): 15726 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6287(a,1),15716(a,1,2)),flip(a)]. given #14255 (H,wt=23): 15727 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(240,a,13,a(flip),b,15726,a)]. given #14256 (H,wt=25): 15728 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5495,a,15727,a),flip(a)]. given #14257 (H,wt=28): 15730 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(15727(a,1),5495(a,1))]. given #14258 (H,wt=31): 15722 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(7560(a,1),15470(a,2,2))]. given #14259 (H,wt=27): 15732 T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). [para(6939(a,1),15722(a,1,1,1))]. given #14260 (H,wt=23): 15733 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). [hyper(240,a,15469,a(flip),b,15732,a(flip))]. given #14261 (H,wt=23): 15735 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). [hyper(240,a,7560,a,b,15733,a)]. given #14262 (H,wt=33): 14817 T(x,T(((y \ z) \ u) \ K(y \ z,y),(z / y) \ u)) = T(x,((y \ z) \ u) \ K(y \ z,y)). [para(5325(a,1),14816(a,1,2,2))]. given #14263 (H,wt=33): 14818 T(x,T((K(y,y \ z) * u) \ (y \ z),(z / y) * u)) = T(x,(K(y,y \ z) * u) \ (y \ z)). [para(5380(a,1),14816(a,1,2,2))]. given #14264 (H,wt=29): 15737 T(x,T(y \ T(z \ u,z),(u / z) * y)) = T(x,(K(z,z \ u) * y) \ (z \ u)). [para(13522(a,1),14818(a,1,2,1))]. given #14265 (H,wt=33): 15389 (x * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * y)) = K(x * (z \ y),z) * (x * y). [para(15388(a,1),14275(a,1,2))]. given #14266 (H,wt=27): 15738 (x * (y * K(x * (z \ y),z))) * K(z,1) = K(x * (z \ y),z) * (x * y). [para(132(a,1),15389(a,1,2,2))]. given #14267 (H,wt=25): 15740 (x * (y * K(x * (z \ y),z))) * 1 = K(x * (z \ y),z) * (x * y). [para(152(a,1),15738(a,1,2))]. given #14268 (H,wt=23): 15741 K(x * (y \ z),y) * (x * z) = x * (z * K(x * (y \ z),y)). [hyper(86,a,15740,a),flip(a)]. given #14269 (H,wt=28): 15743 (x * (y * z)) / (y * (z * K(y * (x \ z),x))) != u | T(x,y * (x \ z)) = u. [para(15741(a,1),5162(a,1,2))]. given #14270 (H,wt=33): 15393 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(4928(a,2),15364(a,1,1,1))]. given #14271 (H,wt=33): 15401 x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(15397(a,1),10401(a,1,2,1))]. given #14272 (H,wt=31): 15744 x * (K(y,K(z,y \ u)) * K(z \ y,z * (u / y))) = x * K(z \ y,(u / y) * z). [para(7514(a,1),15401(a,1,2,1))]. given #14273 (H,wt=29): 15745 x * (K(y,K(z,u)) * K(u \ y,u * (z / y))) = x * K(u \ y,(z / y) * u). [para(7586(a,1),15744(a,1,2,1))]. given #14274 (H,wt=27): 15746 T(x,K(y,z)) * K(z \ y,z * (x / y)) = x * K(z \ y,(x / y) * z). [hyper(7497,a,15745,a)]. given #14275 (H,wt=27): 15747 T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). [hyper(15580,a,15746,a)]. given #14276 (H,wt=33): 15454 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(15428(a,1),14473(a,1))]. given #14277 (H,wt=33): 15564 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(971(a,1),15560(a,1,2,2)),flip(a)]. given #14278 (H,wt=33): 15620 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(14985,a,15253,a),flip(a)]. given #14279 (H,wt=33): 15748 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(240,a,13643,a,b,15564,a)]. given #14280 (H,wt=33): 15749 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(14854(a,1),15748(a,2,3))]. given #14281 (H,wt=26): 15750 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(15544,a,15749,a)]. given #14282 (H,wt=34): 15362 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(10133(a,2),15319(a,1,1,2))]. given #14283 (H,wt=34): 15412 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(7653(a,1),15071(a,2,2,1,1))]. given #14284 (H,wt=34): 15600 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(802(a,1),15555(a,1,2,2,1,1)),flip(a)]. given #14285 (H,wt=30): 15752 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),15600(a,1,2,2,1,1)),flip(a)]. given #14286 (H,wt=33): 15753 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(15155,a,15752,a)]. given #14287 (H,wt=33): 15755 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),15753(a,1,2,2,2))]. given #14288 (H,wt=34): 15714 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(15682(a,1),15296(a,2,2,1))]. given #14289 (H,wt=27): 15756 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(240,a,15185,a,b,15714,a)]. given #14290 (H,wt=24): 15757 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(240,a,13575,a(flip),b,15756,a)]. given #14291 (H,wt=22): 15758 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(121(a,1),15757(a,1,1,2,2,2))]. given #14292 (H,wt=19): 15759 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(14476,a,15758,a)]. given #14293 (H,wt=19): 15760 K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). [hyper(14931,a,15759,a)]. given #14294 (H,wt=19): 15761 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). [para(6988(a,1),15760(a,1,2,1,2))]. given #14295 (H,wt=22): 15762 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(15761(a,2),14931(a,1))]. given #14296 (H,wt=19): 15763 K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). [hyper(15762,a,15051,a),flip(a)]. given #14297 (H,wt=22): 15764 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. [para(14593(a,1),15762(a,1))]. given #14298 (H,wt=22): 15765 K(x,y * K(K(z,u) * w,v5)) != v6 | K(x,K(w,v5) * y) = v6. [para(15051(a,1),15762(a,1))]. given #14299 (H,wt=22): 15766 K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(7611(a,1),15764(a,1,2,1,1))]. given #14300 (H,wt=35): 14981 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = K((x * (y / x)) * z,T(u,y)). [hyper(240,a,11696,a,b,14957,a(flip)),flip(a)]. given #14301 (H,wt=33): 15768 (x * (y / x)) \ ((x * (y / x)) * K(z * (x * (y / x)),u)) = K((x * (y / x)) * z,T(u,y)). [para(10187(a,1),14981(a,1,2))]. given #14302 (H,wt=24): 15769 K((x * (y / x)) * z,T(u,y)) != w | K(z * (x * (y / x)),u) = w. [para(15768(a,1),241(a,1)),flip(b)]. given #14303 (H,wt=19): 15770 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [hyper(15769,a,15350,a),flip(a)]. given #14304 (H,wt=19): 15771 K(T(x,y) * z,T(u,x)) = K(z * (y * (x / y)),u). [hyper(15769,a,14688,a),flip(a)]. given #14305 (H,wt=17): 15773 K(x * (y * (z / y)),u) = K(x * T(z,y),u). [hyper(14974,a,15771,a),flip(a)]. given #14306 (H,wt=17): 15774 K(x * ((y \ z) * y),u) = K(x * T(z,y),u). [hyper(240,a,15770,a,b,15773,a(flip)),flip(a)]. given #14307 (H,wt=19): 15772 K(x * (y * ((y * z) / y)),u) = K(x * (z * y),u). [para(13(a,1),15770(a,1,1,2,1)),flip(a)]. given #14308 (H,wt=17): 15775 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [para(177(a,1),15772(a,1,1,2,2)),flip(a)]. given #14309 (H,wt=23): 15776 T(x,y * (T(z,u) * u)) = (x * w) / (K(y * (u * z),x) * w). [para(15775(a,1),5083(a,1,2,1)),flip(a)]. given #14310 (H,wt=20): 15777 T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. [para(15776(a,2),5162(a,1))]. given #14311 (H,wt=23): 15778 T(x,((y * z) \ u) * (z * y)) = T(x,T(u,y * z) * K(y,z)). [hyper(15777,a,15359,a)]. given #14312 (H,wt=26): 15779 T(x,T(y,z * u) * K(z,u)) != w | T(x,((z * u) \ y) * (u * z)) = w. [para(15359(a,1),15777(a,1))]. given #14313 (H,wt=35): 15122 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(14914(a,1),11890(a,2,2))]. given #14314 (H,wt=29): 15780 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(240,a,4800,a,b,15122,a)]. given #14315 (H,wt=27): 15781 T(T(x,y) * T(z,T(x,y)),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [para(4815(a,1),15780(a,1,1))]. given #14316 (H,wt=23): 15782 T(x * T(y,z),T(u,y * T(x,T(y,z)))) = T(x * T(y,z),u). [para(122(a,1),15781(a,1,1))]. given #14317 (H,wt=21): 15783 T(x * T(y,z),T(u,y * T(x,y))) = T(x * T(y,z),u). [para(15221(a,1),15782(a,1,2))]. given #14318 (H,wt=19): 15784 T(x * T(y,z),T(u,x * y)) = T(x * T(y,z),u). [para(122(a,1),15783(a,1,2,2))]. given #14319 (H,wt=22): 15786 T(x * T(y,z),T(u,x * y)) != w | T(x * T(y,z),u) = w. [para(15784(a,1),9142(a,1))]. given #14320 (H,wt=35): 15405 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(6939(a,1),15404(a,1,1)),flip(a)]. given #14321 (H,wt=31): 15787 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(15469(a,1),15405(a,2,2))]. given #14322 (H,wt=31): 15788 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(7560(a,1),15787(a,2,2))]. given #14323 (H,wt=27): 15790 T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). [para(6939(a,1),15788(a,1,1,1))]. given #14324 (H,wt=23): 15791 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). [hyper(240,a,15469,a(flip),b,15790,a(flip))]. given #14325 (H,wt=23): 15793 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). [hyper(240,a,7560,a,b,15791,a)]. given #14326 (H,wt=35): 15614 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(8178,a,15613,a)]. given #14327 (H,wt=33): 15794 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(14743(a,1),15614(a,1,1))]. given #14328 (H,wt=35): 15664 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(15663(a,2),10842(a,2,2))]. given #14329 (H,wt=35): 15795 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(8390(a,1),15664(a,1,1))]. given #14330 (H,wt=37): 15721 K(x * ((K(y,z) * u) / T(w,((z * y) \ u) * (y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(10164(a,1),15719(a,1,1,2,1))]. given #14331 (H,wt=38): 15357 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(240,a,14570,a(flip),b,15356,a(flip))]. given #14332 (H,wt=38): 15713 ((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(14287(a,2),15180(a,1))]. given #14333 (H,wt=39): 15091 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(15036(a,1),442(a,1,2,2,2)),flip(a)]. given #14334 (H,wt=39): 15736 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(15735(a,1),8042(a,1,2,2))]. given #14335 (H,wt=39): 15796 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(15793(a,1),15736(a,1,2,1))]. given #14336 (H,wt=35): 15797 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(14986,a,15796,a)]. given #14337 (H,wt=41): 15731 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(13374(a,1),15728(a,1,1,1,2,1,2))]. given #14338 (H,wt=37): 15799 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13395(a,1),15731(a,1,1,1))]. given #14339 (H,wt=25): 15800 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(15730,a,15799,a),flip(a)]. given #14340 (H,wt=25): 15801 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(240,a,15447,a,b,15800,a)]. given #14341 (H,wt=25): 15802 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(240,a,15661,a,b,15801,a(flip)),flip(a)]. given #14342 (H,wt=23): 15803 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(15153,a,15802,a),flip(a)]. given #14343 (H,wt=27): 15804 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15803(a,1),15662(a,2,1))]. given #14344 (H,wt=25): 15805 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(240,a,4946,a(flip),b,15804,a)]. given #14345 (H,wt=35): 15806 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(15805(a,1),2447(a,1,1))]. given #14346 (H,wt=27): 15807 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(240,a,10499,a(flip),b,15806,a(flip))]. given #14347 (H,wt=38): 15809 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(15807(a,1),13431(a,1,1,1)),flip(a)]. given #14348 (H,wt=27): 15810 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(240,a,13431,a(flip),b,15809,a)]. given #14349 (H,wt=27): 15811 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(240,a,7142,a(flip),b,15810,a)]. given #14350 (H,wt=27): 15812 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7302,a,15811,a)]. given #14351 (H,wt=25): 15813 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(240,a,15657,a(flip),b,15812,a(flip)),flip(a)]. given #14352 (H,wt=26): 15814 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(240,a,15660,a(flip),b,15813,a(flip))]. given #14353 (H,wt=21): 15815 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(240,a,8265,a(flip),b,15814,a(flip)),flip(a)]. given #14354 (H,wt=19): 15816 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(121(a,1),15815(a,1,2,2,1,1)),flip(a)]. given #14355 (H,wt=19): 15819 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(240,a,15447,a(flip),b,15816,a(flip)),flip(a)]. given #14356 (H,wt=23): 15820 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(240,a,7465,a,b,15819,a),flip(a)]. given #14357 (H,wt=19): 15821 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,15462,a,b,15820,a),flip(a)]. given #14358 (H,wt=19): 15822 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8079,a,15821,a)]. given #14359 (H,wt=19): 15823 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(240,a,15504,a(flip),b,15821,a(flip))]. given #14360 (H,wt=19): 15824 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(240,a,15502,a(flip),b,15821,a(flip))]. given #14361 (H,wt=19): 15826 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15083,a,15824,a)]. given #14362 (H,wt=19): 15827 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),15826(a,1,2,2,2,2)),flip(a)]. given #14363 (H,wt=25): 15825 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15821(a,1),15551(a,1,1))]. given #14364 (H,wt=25): 15828 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8463,a,15825,a),flip(a)]. given #14365 (H,wt=25): 15830 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(65(a,1),15828(a,1,2,1,2)),flip(a)]. given #14366 (H,wt=25): 15831 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15102,a,15830,a)]. given #14367 (H,wt=26): 15829 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(240,a,15591,a(flip),b,15828,a(flip))]. given #14368 (H,wt=22): 15832 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),15829(a,2,2,2,2))]. given #14369 (H,wt=22): 15833 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(240,a,15560,a,b,15832,a)]. given #14370 (H,wt=24): 15836 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13707(a,1),15833(a,1,2))]. given #14371 (H,wt=25): 15834 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(15832(a,2),15562(a,1))]. given #14372 (H,wt=25): 15837 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(15833(a,2),15562(a,1))]. given #14373 (H,wt=26): 15835 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(240,a,15831,a(flip),b,15833,a(flip)),flip(a)]. given #14374 (H,wt=25): 15839 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(240,a,15836,a(flip),b,15835,a(flip))]. given #14375 (H,wt=28): 15840 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3754(a,2),15835(a,2,2,2,1))]. given #14376 (H,wt=26): 15841 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13708(a,1),15840(a,1,2))]. given #14377 (H,wt=23): 15842 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(15834,a,15841,a),flip(a)]. given #14378 (H,wt=23): 15843 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,15822,a(flip),b,15842,a(flip)),flip(a)]. given #14379 (H,wt=21): 15844 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15594,a,15843,a)]. given #14380 (H,wt=21): 15845 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,15604,a,b,15844,a(flip)),flip(a)]. given #14381 (H,wt=21): 15847 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(240,a,15602,a(flip),b,15844,a(flip))]. given #14382 (H,wt=21): 15849 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15565,a,15847,a)]. given #14383 (H,wt=23): 15850 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(240,a,15839,a,b,15847,a(flip)),flip(a)]. given #14384 (H,wt=23): 15855 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15565,a,15850,a)]. given #14385 (H,wt=24): 15852 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(240,a,14531,a,b,15849,a(flip)),flip(a)]. given #14386 (H,wt=22): 15856 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(240,a,14070,a(flip),b,15852,a(flip)),flip(a)]. given #14387 (H,wt=25): 15848 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15605,a,15845,a)]. given #14388 (H,wt=26): 15851 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(240,a,15088,a(flip),b,15847,a(flip))]. given #14389 (H,wt=29): 15838 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * ((v6 / u) / v6)) / z)) = v5. [para(15831(a,1),15834(a,1))]. given #14390 (H,wt=33): 15853 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11214(a,1),15849(a,1,2))]. given #14391 (H,wt=33): 15854 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14267(a,1),15849(a,1,2,2,2,1)),flip(a)]. given #14392 (H,wt=29): 15858 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(240,a,15855,a(flip),b,15854,a)]. given #14393 (H,wt=23): 15860 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(240,a,15848,a(flip),b,15858,a(flip)),flip(a)]. given #14394 (H,wt=23): 15861 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15562,a,15860,a)]. given #14395 (H,wt=23): 15863 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(240,a,15589,a(flip),b,15860,a(flip)),flip(a)]. given #14396 (H,wt=23): 15864 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8079,a,15863,a)]. given #14397 (H,wt=26): 15866 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(240,a,15750,a(flip),b,15864,a(flip))]. given #14398 (H,wt=26): 15867 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15025,a,15866,a)]. given #14399 (H,wt=26): 15868 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). [hyper(7489,a,15866,a)]. given #14400 (H,wt=27): 15865 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(122(a,1),15863(a,1,2,2,2)),flip(a)]. given #14401 (H,wt=23): 15872 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15594,a,15865,a),flip(a)]. given #14402 (H,wt=23): 15873 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(15638,a,15872,a)]. given #14403 (H,wt=22): 15875 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(240,a,15030,a(flip),b,15873,a(flip))]. given #14404 (H,wt=28): 15871 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),15867(a,1,2,2,2,2))]. given #14405 (H,wt=29): 15870 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(15866(a,1),7489(a,1))]. given #14406 (H,wt=30): 15869 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(240,a,13952,a,b,15866,a)]. given #14407 (H,wt=26): 15876 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),15869(a,2,2))]. given #14408 (H,wt=35): 15857 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15340(a,1),15853(a,1,2)),flip(a)]. given #14409 (H,wt=33): 15877 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(240,a,7967,a(flip),b,15857,a)]. given #14410 (H,wt=21): 15878 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(240,a,15826,a(flip),b,15877,a(flip))]. given #14411 (H,wt=21): 15880 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(240,a,15822,a(flip),b,15878,a)]. given #14412 (H,wt=21): 15881 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15546,a,15880,a)]. given #14413 (H,wt=24): 15882 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(202(a,1),15880(a,1,2,2,2))]. given #14414 (H,wt=20): 15883 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(240,a,15493,a(flip),b,15882,a)]. given #14415 (H,wt=28): 15885 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(240,a,15755,a(flip),b,15883,a(flip))]. given #14416 (H,wt=25): 15887 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(118(a,1),15885(a,1,2,2)),flip(a)]. given #14417 (H,wt=25): 15888 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(15545,a,15887,a)]. given #14418 (H,wt=27): 15889 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15536,a,15888,a),flip(a)]. given #14419 (H,wt=25): 15891 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15536,a,15889,a),flip(a)]. given #14420 (H,wt=24): 15894 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(240,a,15851,a(flip),b,15891,a(flip))]. given #14421 (H,wt=25): 15892 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(15596,a,15891,a),flip(a)]. given #14422 (H,wt=25): 15893 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15546,a,15891,a)]. given #14423 (H,wt=27): 15890 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15197,a,15888,a)]. given #14424 (H,wt=25): 15897 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(240,a,11916,a(flip),b,15890,a)]. given #14425 (H,wt=25): 15898 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(240,a,15861,a(flip),b,15897,a)]. given #14426 (H,wt=25): 15899 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8079,a,15898,a)]. given #14427 (H,wt=27): 15896 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(240,a,15574,a(flip),b,15892,a)]. given #14428 (H,wt=25): 15901 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5928(a,1),15896(a,1,2,2,2))]. given #14429 (H,wt=21): 15902 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15595,a,15901,a)]. given #14430 (H,wt=28): 15895 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(240,a,15881,a(flip),b,15894,a(flip)),flip(a)]. given #14431 (H,wt=26): 15904 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(240,a,15902,a(flip),b,15895,a(flip)),flip(a)]. given #14432 (H,wt=21): 15905 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,15875,a(flip),b,15904,a(flip))]. given #14433 (H,wt=19): 15906 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,14046,a(flip),b,15905,a(flip)),flip(a)]. given #14434 (H,wt=28): 15900 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13477(a,1),15899(a,1,2)),flip(a)]. given #14435 (H,wt=28): 15907 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(240,a,13645,a,b,15900,a)]. given #14436 (H,wt=43): 15592 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(7576(a,1),15540(a,1,2,1))]. given #14437 (H,wt=39): 15908 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(15101,a,15592,a),flip(a)]. given #14438 (H,wt=39): 15910 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(14446(a,1),15908(a,2,2))]. given #14439 (H,wt=34): 15911 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(240,a,15651,a(flip),b,15910,a)]. given #14440 (H,wt=30): 15912 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(15607,a,15911,a)]. given #14441 (H,wt=25): 15915 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(240,a,15563,a(flip),b,15912,a(flip)),flip(a)]. given #14442 (H,wt=21): 15916 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(240,a,15532,a(flip),b,15915,a(flip))]. given #14443 (H,wt=21): 15917 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11361,a,15916,a)]. given #14444 (H,wt=23): 15919 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14129(a,1),15916(a,1,2,2,2))]. given #14445 (H,wt=21): 15921 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(240,a,15906,a(flip),b,15919,a)]. given #14446 (H,wt=27): 15920 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(240,a,13868,a,b,15917,a)]. given #14447 (H,wt=21): 15923 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13869,a,15920,a)]. given #14448 (H,wt=21): 15924 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4818(a,1),15923(a,1,2))]. given #14449 (H,wt=21): 15925 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4832(a,1),15923(a,1,2))]. given #14450 (H,wt=25): 15926 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(240,a,11922,a(flip),b,15924,a(flip))]. given #14451 (H,wt=25): 15927 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7491(a,2),15926(a,2,3))]. given #14452 (H,wt=23): 15928 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11920(a,1),15927(a,2,3))]. given #14453 (H,wt=25): 15929 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),15928(a,1,3,2,2))]. given #14454 (H,wt=25): 15930 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7491(a,1),15929(a,1,3))]. given #14455 (H,wt=21): 15931 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),15930(a,2,3,2,2))]. given #14456 (H,wt=21): 15932 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7491(a,1),15931(a,2,3))]. given #14457 (H,wt=21): 15933 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(65(a,1),15932(a,1,2,2))]. given #14458 (H,wt=21): 15934 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7491(a,2),15933(a,1,3))]. given #14459 (H,wt=21): 15935 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7491(a,2),15934(a,2,3))]. given #14460 (H,wt=21): 15936 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(240,a,13862,a,b,15935,a(flip)),flip(a)]. given #14461 (H,wt=21): 15937 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7507(a,1),15936(a,2,3))]. given #14462 (H,wt=31): 15922 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(15921(a,1),15795(a,1,1)),flip(a)]. given #14463 (H,wt=31): 15938 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(7506(a,1),15922(a,2,2))]. given #14464 (H,wt=29): 15940 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(240,a,12206,a(flip),b,15938,a)]. given #14465 (H,wt=27): 15941 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10842(a,1),15940(a,2,1))]. given #14466 (H,wt=25): 15942 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(240,a,14018,a(flip),b,15941,a)]. given #14467 (H,wt=25): 15943 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15663(a,1),15942(a,1,2))]. given #14468 (H,wt=25): 15944 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7506(a,1),15943(a,1,3))]. given #14469 (H,wt=21): 15945 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11359,a,15944,a)]. given #14470 (H,wt=19): 15946 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(132(a,1),15945(a,1,2,1))]. given #14471 (H,wt=19): 15948 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(240,a,15937,a(flip),b,15946,a(flip)),flip(a)]. given #14472 (H,wt=19): 15949 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(240,a,13871,a,b,15948,a)]. given #14473 (H,wt=26): 15947 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(240,a,15907,a,b,15946,a(flip)),flip(a)]. given #14474 (H,wt=26): 15950 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7491(a,1),15947(a,2,3))]. given #14475 (H,wt=46): 15040 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(14862(a,1),441(a,2,3))]. given #14476 (H,wt=46): 15041 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14862(a,2),441(a,2,3))]. given #14477 (H,wt=46): 15951 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(5451(a,1),15950(a,1,2,2,2,1))]. given #14478 (H,wt=42): 15952 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(6559(a,1),15951(a,1,2))]. given #14479 (H,wt=40): 15953 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(13740(a,1),15952(a,1,2))]. given #14480 (H,wt=40): 15954 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(6006(a,1),15953(a,1,2,2,1))]. given #14481 (H,wt=38): 15955 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(240,a,15893,a(flip),b,15954,a(flip)),flip(a)]. given #14482 (H,wt=32): 15956 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15556,a,15955,a)]. given #14483 (H,wt=30): 15958 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(7130(a,1),15956(a,2,3,2))]. given #14484 (H,wt=24): 15959 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15488(a,1),15958(a,2,3))]. given #14485 (H,wt=21): 15960 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(240,a,15871,a(flip),b,15959,a(flip)),flip(a)]. given #14486 (H,wt=25): 15962 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(62(a,1),15960(a,1,3,2,1))]. given #14487 (H,wt=25): 15963 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15827(a,1),15962(a,1,3))]. given #14488 (H,wt=25): 15964 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7487(a,1),15963(a,1,3))]. given #14489 (H,wt=23): 15965 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15712(a,1),15964(a,1,3))]. given #14490 (H,wt=21): 15966 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(13922,a,15965,a),flip(a)]. given #14491 (H,wt=21): 15967 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7507(a,1),15966(a,1,3))]. given #14492 (H,wt=21): 15968 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(240,a,15925,a,b,15967,a(flip)),flip(a)]. given #14493 (H,wt=19): 15969 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(240,a,15949,a(flip),b,15968,a(flip))]. given #14494 (H,wt=19): 15970 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7487(a,1),15969(a,2,3))]. given #14495 (H,wt=24): 15971 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(15870,a,15970,a)]. given #14496 (H,wt=24): 15972 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7491(a,2),15971(a,2,3))]. given #14497 (H,wt=19): 15973 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(240,a,15876,a(flip),b,15972,a(flip)),flip(a)]. given #14498 (H,wt=19): 15974 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(7969(a,1),15973(a,1,3))]. given #14499 (H,wt=19): 15975 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7507(a,1),15974(a,2,3))]. given #14500 (H,wt=17): 15976 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(240,a,15970,a(flip),b,15975,a(flip))]. given #14501 (H,wt=23): 15977 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15976(a,1),13856(a,1,1))]. given #14502 (H,wt=23): 15978 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7487(a,1),15977(a,1,2))]. given #14503 (H,wt=17): 15979 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14041,a,15978,a),flip(a)]. given #14504 (H,wt=17): 15980 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8461,a,15979,a)]. given #14505 (H,wt=22): 15981 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(240,a,15856,a(flip),b,15980,a)]. given #14506 (H,wt=19): 15984 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(15837,a,15981,a)]. given #14507 (H,wt=26): 15983 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6318(a,1),15980(a,1,2)),flip(a)]. given #14508 (H,wt=24): 15985 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [hyper(240,a,7967,a(flip),b,15983,a)]. given #14509 (H,wt=27): 15986 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(15983(a,2),7973(a,1))]. given #14510 (H,wt=35): 15982 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(673(a,1),15980(a,1,2,2)),flip(a)]. given #14511 (H,wt=35): 15987 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(240,a,14834,a,b,15982,a)]. given #14512 (H,wt=35): 15988 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(240,a,15984,a(flip),b,15987,a)]. given #14513 (H,wt=31): 15989 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(240,a,15823,a(flip),b,15988,a)]. given #14514 (H,wt=30): 15992 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(7675(a,1),15989(a,2,2))]. given #14515 (H,wt=26): 15993 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,14826,a(flip),b,15992,a)]. given #14516 (H,wt=22): 15996 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,14070,a(flip),b,15993,a(flip)),flip(a)]. given #14517 (H,wt=19): 15997 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(15986,a,15996,a),flip(a)]. given #14518 (H,wt=16): 16001 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6663(a,1),15997(a,1,2)),flip(a)]. given #14519 (H,wt=14): 16003 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(240,a,7967,a(flip),b,16001,a)]. given #14520 (H,wt=14): 16004 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(240,a,7955,a(flip),b,16001,a)]. given #14521 (H,wt=14): 16008 K(x,K(L(y,z,u),w)) = K(x,K(y,w)). [hyper(8324,a,16003,a)]. given #14522 (H,wt=17): 16006 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(16001(a,2),7979(a,1))]. given #14523 (H,wt=17): 16015 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(16003(a,2),7489(a,1))]. given #14524 (H,wt=17): 16032 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8314(a,2),16006(a,1))]. given #14525 (H,wt=19): 16016 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(16003(a,1),8318(a,1,2))]. given #14526 (H,wt=10): 16040 a(x,y,K(z,K(u,w))) = 1. [hyper(74,a,16016,a(flip),b,13825,a),flip(a)]. given #14527 (H,wt=10): 16042 a(K(x,y),z,K(u,w)) = 1. [hyper(13884,a,16040,a)]. given #14528 (H,wt=10): 16043 a(K(x,K(y,z)),u,w) = 1. [hyper(13632,a,16040,a)]. given #14529 (H,wt=10): 16047 K(K(x,y),a(z,u,w)) = 1. [hyper(240,a,13598,a(flip),b,16040,a(flip)),flip(a)]. given #14530 (H,wt=10): 16049 K(x,a(y,z,K(u,w))) = 1. [hyper(240,a,13491,a(flip),b,16040,a(flip)),flip(a)]. given #14531 (H,wt=10): 16052 K(a(K(x,y),z,u),w) = 1. [hyper(240,a,13711,a(flip),b,16042,a(flip)),flip(a)]. given #14532 (H,wt=10): 16053 K(a(x,y,K(z,u)),w) = 1. [hyper(240,a,13561,a(flip),b,16042,a(flip)),flip(a)]. given #14533 (H,wt=10): 16057 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,16043,a)]. given #14534 (H,wt=10): 16058 K(x,K(a(y,z,u),w)) = 1. [hyper(7767,a,16047,a)]. given #14535 (H,wt=10): 16060 T(x,a(y,z,K(u,w))) = x. [hyper(37,a,16049,a)]. given #14536 (H,wt=10): 16065 K(K(x,a(y,z,u)),w) = 1. [para(13480(a,1),16052(a,1,1))]. given #14537 (H,wt=10): 16080 T(x,K(a(y,z,u),w)) = x. [hyper(37,a,16058,a)]. given #14538 (H,wt=12): 16051 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,16042,a)]. given #14539 (H,wt=12): 16091 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(240,a,8158,a(flip),b,16080,a(flip)),flip(a)]. given #14540 (H,wt=12): 16095 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11281,a,16051,a)]. given #14541 (H,wt=12): 16096 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(8723,a,16051,a)]. given #14542 (H,wt=13): 16070 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6388,a,16057,a)]. given #14543 (H,wt=14): 16103 T(x,L(y,z,K(u,w))) = x * K(x,y). [para(16051(a,1),11267(a,1,2)),flip(a)]. given #14544 (H,wt=12): 16115 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(240,a,4800,a,b,16103,a)]. given #14545 (H,wt=15): 16061 x * K(y,a(z,u,K(w,v5))) != v6 | v6 = x. [para(16049(a,2),85(a,1,2))]. given #14546 (H,wt=13): 16119 K(x,a(y,z,K(u,w))) != v5 | 1 = v5. [para(11(a,1),16061(a,1)),flip(b)]. given #14547 (H,wt=13): 16121 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(4800(a,2),16061(a,1))]. given #14548 (H,wt=13): 16123 a(K(x,K(y,z)),u,w) != v5 | 1 = v5. [para(13562(a,2),16119(a,1))]. given #14549 (H,wt=13): 16124 T(x,K(a(y,z,u),w)) != v5 | v5 = x. [para(13530(a,1),16121(a,1,2))]. given #14550 (H,wt=14): 16125 K(x,y) != z | (y * x) \ (x * y) = z. [para(2157(a,1),16124(a,1)),flip(b)]. given #14551 (H,wt=15): 16064 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(37,a,16052,a)]. given #14552 (H,wt=15): 16067 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(37,a,16053,a)]. given #14553 (H,wt=15): 16068 x * K(a(y,z,K(u,w)),v5) != v6 | v6 = x. [para(16053(a,2),85(a,1,2))]. given #14554 (H,wt=15): 16086 K(a(x,y,z),T(u,w)) = K(a(x,y,z),u). [hyper(9897,a,16080,a)]. given #14555 (H,wt=15): 16102 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(5644(a,1),16051(a,1,3))]. given #14556 (H,wt=15): 16105 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(16091(a,1),9142(a,1))]. given #14557 (H,wt=15): 16109 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6387(a,1),16095(a,1,2))]. given #14558 (H,wt=15): 16116 T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. [para(16103(a,2),4803(a,1))]. given #14559 (H,wt=15): 16122 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(13715(a,1),16061(a,1)),flip(b)]. given #14560 (H,wt=15): 16142 K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. [para(11254(a,1),16122(a,1))]. given #14561 (H,wt=17): 16069 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(10600,a,16057,a),flip(a)]. given #14562 (H,wt=17): 16082 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2125,a,16060,a),flip(a)]. given #14563 (H,wt=17): 16087 K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). [hyper(7881,a,16080,a),flip(a)]. given #14564 (H,wt=15): 16158 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(7026,a,16087,a)]. given #14565 (H,wt=15): 16162 K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). [hyper(240,a,13597,a,b,16158,a)]. given #14566 (H,wt=16): 16163 K(a(x,y,z),u) != w | K(x,a(u,y,z)) = w. [para(16162(a,1),4989(a,1))]. given #14567 (H,wt=16): 16164 a(x,y,K(z,u)) != w | K(x,a(u,y,z)) = w. [para(13530(a,2),16163(a,1))]. given #14568 (H,wt=16): 16165 a(K(x,y),z,u) != w | K(x,a(y,z,u)) = w. [para(13561(a,2),16163(a,1))]. given #14569 (H,wt=16): 16166 K(x,a(y,z,u)) != w | K(u,a(x,z,y)) = w. [para(13713(a,1),16163(a,1))]. given #14570 (H,wt=16): 16167 a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. [para(13563(a,1),16164(a,1))]. given #14571 (H,wt=16): 16168 a(x,y,K(z,u)) != w | K(u,a(z,y,x)) = w. [para(13563(a,2),16164(a,1))]. given #14572 (H,wt=17): 16090 T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). [hyper(240,a,8907,a(flip),b,16080,a(flip))]. given #14573 (H,wt=17): 16114 L(x,y,T(z,u / w)) = L(x,y,T(z,w \ u)). [para(8907(a,1),16070(a,1,3)),flip(a)]. given #14574 (H,wt=17): 16127 a(K(x,y),z,u) * w = w * a(K(x,y),z,u). [para(16064(a,1),122(a,1,2)),flip(a)]. given #14575 (H,wt=17): 16137 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(124(a,1),16109(a,1,2,3)),flip(a)]. given #14576 (H,wt=17): 16138 K(x,L(y,z,(u \ w) * u)) = K(x,L(y,z,w)). [para(13008(a,2),16109(a,1,2))]. given #14577 (H,wt=17): 16148 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(13852,a,16082,a)]. given #14578 (H,wt=17): 16149 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) = w. [hyper(13622,a,16082,a)]. given #14579 (H,wt=17): 16150 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(13621,a,16082,a)]. given #14580 (H,wt=17): 16152 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(240,a,13608,a,b,16082,a)]. given #14581 (H,wt=17): 16153 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(240,a,13619,a,b,16082,a(flip)),flip(a)]. given #14582 (H,wt=17): 16154 x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. [hyper(75,a,13620,a(flip),b,16082,a(flip))]. given #14583 (H,wt=17): 16156 K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). [para(13564(a,1),16082(a,1,1))]. given #14584 (H,wt=17): 16160 K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). [para(13597(a,2),16087(a,1,1))]. given #14585 (H,wt=17): 16161 K(x,a(y,z,u)) * w = w * K(y,a(u,z,x)). [para(13599(a,1),16087(a,1,1))]. given #14586 (H,wt=17): 16172 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(73,a,13720,a(flip),b,16127,a)]. given #14587 (H,wt=17): 16188 K(x,a(y,z,u)) * (w * K(y,a(x,z,u))) = w. [hyper(5191,a,16160,a)]. given #14588 (H,wt=18): 16128 T(a(x,y,K(z,u)),w) != v5 | a(x,y,K(z,u)) = v5. [para(4800(a,2),16068(a,1)),flip(b)]. given #14589 (H,wt=18): 16131 K(a(x,y,z),u) != w | K(a(x,y,z),T(u,v5)) = w. [para(16086(a,1),6963(a,1))]. given #14590 (H,wt=18): 16133 K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. [para(16086(a,2),13829(a,1))]. given #14591 (H,wt=15): 16194 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(16133,a,13530,a(flip)),flip(a)]. given #14592 (H,wt=15): 16196 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(240,a,13563,a,b,16194,a)]. given #14593 (H,wt=17): 16197 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(124(a,1),16194(a,1,3,2)),flip(a)]. given #14594 (H,wt=17): 16199 a(x / y,z,K(u,w)) = a(u,z,K(w,y \ x)). [hyper(13813,a,16197,a)]. given #14595 (H,wt=17): 16200 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [hyper(240,a,13563,a(flip),b,16199,a)]. given #14596 (H,wt=18): 16141 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6387(a,1),16122(a,1,2))]. given #14597 (H,wt=18): 16169 a(K(x,y),z * y,u) != w | K(x,a(y,z,u)) = w. [para(12612(a,2),16165(a,1))]. given #14598 (H,wt=18): 16192 T(K(a(x,y,z),u),w) != v5 | a(x,y,K(z,u)) = v5. [para(13530(a,1),16128(a,1,1))]. given #14599 (H,wt=18): 16195 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(13530(a,2),16133(a,1))]. given #14600 (H,wt=19): 16018 K(x,K(y,(z / u) / w)) = K(x,K(y,z / (w * u))). [para(14449(a,1),16003(a,1,2)),flip(a)]. given #14601 (H,wt=19): 16019 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(16003(a,1),15038(a,1,1))]. given #14602 (H,wt=19): 16024 K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). [para(11318(a,1),16004(a,1,2))]. given #14603 (H,wt=19): 16025 K(x,K(y \ (z * u),w)) = K(x,K(w,(z \ y) \ u)). [para(11320(a,1),16004(a,1,2))]. given #14604 (H,wt=19): 16039 (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). [hyper(240,a,14864,a,b,16016,a)]. given #14605 (H,wt=19): 16059 a(x,y,z) * (1 * K(u,w)) = K(u,w) * a(x,y,z). [para(16047(a,1),4872(a,1,2,1))]. given #14606 (H,wt=17): 16221 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(11(a,1),16059(a,1,2)),flip(a)]. given #14607 (H,wt=12): 16223 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(7646,a,16221,a),flip(a)]. given #14608 (H,wt=15): 16235 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(16223(a,1),7780(a,1))]. given #14609 (H,wt=17): 16226 K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). [hyper(18,a,10337,a,b,16221,a),flip(a)]. given #14610 (H,wt=17): 16227 K(x,y / a(z,u,w)) = K(x,a(z,u,w) \ y). [hyper(18,a,7030,a,b,16221,a),flip(a)]. given #14611 (H,wt=17): 16228 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [hyper(18,a,6196,a,b,16221,a),flip(a)]. given #14612 (H,wt=19): 16072 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) \ w). [hyper(240,a,235,a(flip),b,16057,a(flip)),flip(a)]. given #14613 (H,wt=19): 16073 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(16057(a,1),106(a,1,2))]. given #14614 (H,wt=19): 16074 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(16057(a,1),501(a,1,2))]. given #14615 (H,wt=19): 16092 T(x * y,K(a(z,u,w),v5)) != y * v6 | T(x,y) = v6. [para(16080(a,2),183(a,2)),flip(a)]. given #14616 (H,wt=19): 16099 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(16051(a,1),106(a,1,2))]. given #14617 (H,wt=19): 16108 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5196(a,1),16095(a,1,2))]. given #14618 (H,wt=19): 16113 L(x,y,K(z,u) * (w * z)) = L(x,y,w * T(z,u)). [para(7876(a,1),16070(a,1,3))]. given #14619 (H,wt=19): 16117 T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). [hyper(240,a,14441,a(flip),b,16115,a(flip))]. given #14620 (H,wt=19): 16146 L(x,y,K(z * u,z) * w) = L(x,y,w * K(u,z)). [hyper(240,a,13030,a(flip),b,16069,a)]. given #14621 (H,wt=19): 16206 K(x,K(y,z / (u * w))) = K(x,K(y,u \ (z / w))). [hyper(14855,a,16018,a),flip(a)]. given #14622 (H,wt=19): 16210 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(555,a,16019,a)]. given #14623 (H,wt=19): 16211 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(240,a,14864,a,b,16019,a)]. given #14624 (H,wt=19): 16215 K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). [hyper(7489,a,16024,a)]. given #14625 (H,wt=19): 16219 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(240,a,15034,a,b,16039,a(flip)),flip(a)]. given #14626 (H,wt=19): 16224 (x / a(y,z,u)) \ T(x,w) = K(x,w) * a(y,z,u). [hyper(240,a,14089,a,b,16221,a),flip(a)]. given #14627 (H,wt=19): 16243 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(7538(a,2),16072(a,1,1))]. given #14628 (H,wt=19): 16244 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(582,a,16073,a)]. given #14629 (H,wt=19): 16245 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(240,a,16019,a(flip),b,16073,a)]. given #14630 (H,wt=19): 16247 K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. [para(7417(a,1),16074(a,1,1)),flip(a)]. given #14631 (H,wt=17): 16268 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(16247(a,1),15225(a,1,2))]. given #14632 (H,wt=19): 16254 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(15303,a,16108,a(flip)),flip(a)]. given #14633 (H,wt=19): 16258 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [hyper(14855,a,16206,a)]. given #14634 (H,wt=19): 16259 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(7464(a,1),16210(a,1,2)),flip(a)]. given #14635 (H,wt=19): 16261 x * (K(y,K(z,u)) * (x \ w)) = K(y,K(z,u)) * w. [hyper(310,a,16211,a),flip(a)]. given #14636 (H,wt=19): 16262 (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). [hyper(17,a,16073,a(flip),b,16211,a)]. given #14637 (H,wt=19): 16276 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(14862(a,1),16262(a,1,1))]. given #14638 (H,wt=10): 16278 L(x,K(y,K(z,u)),w) = x. [hyper(438,a,16276,a)]. given #14639 (H,wt=19): 16279 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(73,a,58,a(flip),b,16276,a)]. given #14640 (H,wt=19): 16283 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) * (x \ w). [hyper(240,a,7538,a(flip),b,16279,a)]. given #14641 (H,wt=19): 16284 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(15034(a,2),16279(a,1,1))]. given #14642 (H,wt=19): 16288 K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). [hyper(240,a,16243,a(flip),b,16284,a(flip))]. given #14643 (H,wt=17): 16289 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(16288(a,1),15229(a,1,2))]. given #14644 (H,wt=19): 16290 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [para(5485(a,1),16289(a,1,2,2)),flip(a)]. given #14645 (H,wt=20): 16084 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(16060(a,1),231(a,1,2))]. given #14646 (H,wt=20): 16093 K(a(x,y,z),u) * w != v5 | w * K(a(x,y,z),u) = v5. [para(16080(a,1),231(a,1,2))]. given #14647 (H,wt=20): 16120 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(98(a,1),16061(a,1)),flip(b)]. given #14648 (H,wt=20): 16136 T(x,y / a(z,u,w)) != v5 | T(x,a(z,u,w) \ y) = v5. [para(7901(a,1),16105(a,1))]. given #14649 (H,wt=20): 16157 x * a(y,z,K(u,w)) != v5 | a(u,z,K(w,y)) * x = v5. [para(16082(a,1),13852(a,1))]. given #14650 (H,wt=20): 16170 K(x,T(a(y,z,u),w)) != v5 | K(x,a(T(y,w),z,u)) = v5. [para(13488(a,1),16165(a,1))]. given #14651 (H,wt=15): 16298 K(x,a(T(y,z),u,w)) = K(x,a(y,u,w)). [hyper(16170,a,16158,a)]. given #14652 (H,wt=20): 16180 a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. [para(16149(a,1),241(a,1,2)),flip(b)]. given #14653 (H,wt=20): 16181 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. [para(16149(a,1),10949(a,1,2)),flip(b)]. given #14654 (H,wt=20): 16182 x / a(y,z,K(u,w)) != v5 | a(w,z,K(u,y)) * x = v5. [para(16150(a,1),299(a,1,1)),flip(b)]. given #14655 (H,wt=20): 16193 K(a(x,y,z),T(u,w)) != v5 | K(a(x,y,z),T(u,v6)) = v5. [para(16086(a,2),16131(a,1))]. given #14656 (H,wt=20): 16202 K(x,L(y,z,(u \ w) \ w)) != v5 | K(x,L(y,z,u)) = v5. [para(123(a,1),16141(a,1,2,3))]. given #14657 (H,wt=20): 16203 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(13046(a,1),16141(a,1,2))]. given #14658 (H,wt=20): 16205 a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. [para(10329(a,1),16195(a,1,3))]. given #14659 (H,wt=18): 16308 a(x,y,K(z,u)) != w | a(x,y,K(u * z,u)) = w. [para(11424(a,1),16205(a,1))]. given #14660 (H,wt=20): 16209 K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. [para(16018(a,2),7973(a,1))]. given #14661 (H,wt=20): 16234 K(x,a(y,z,u) / w) != v5 | K(x,w \ a(y,z,u)) = v5. [para(16223(a,1),7001(a,1))]. given #14662 (H,wt=20): 16236 K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. [para(16223(a,1),7783(a,1))]. given #14663 (H,wt=20): 16238 K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. [para(16223(a,1),10296(a,1))]. given #14664 (H,wt=20): 16239 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(16223(a,1),10297(a,1))]. given #14665 (H,wt=20): 16240 K(a(x,y,z) / u,w) != v5 | K(u \ a(x,y,z),w) = v5. [para(7608(a,1),16235(a,1))]. given #14666 (H,wt=20): 16271 K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. [para(16259(a,1),15259(a,1,2))]. given #14667 (H,wt=20): 16294 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(16148(a,1),16084(a,1))]. given #14668 (H,wt=20): 16295 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(16152(a,1),16084(a,1))]. given #14669 (H,wt=20): 16300 L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. [para(13856(a,1),16181(a,1))]. given #14670 (H,wt=21): 16028 K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). [para(16008(a,1),7459(a,1,2))]. given #14671 (H,wt=21): 16139 K(x,L(L(y,z,K(u,w)),v5,v6)) != v7 | K(x,L(y,v5,v6)) = v7. [para(45(a,1),16122(a,1,2))]. given #14672 (H,wt=21): 16183 a(x,y,K(z,u)) * (w * K(x,u)) = w * L(K(x,u),y,z). [hyper(240,a,10766,a(flip),b,16152,a)]. given #14673 (H,wt=21): 16212 K(x,K(y,z)) * (u * (x * w)) = u * (T(x,K(y,z)) * w). [para(14877(a,1),16019(a,2,2))]. given #14674 (H,wt=21): 16225 (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. [hyper(22,a,16221,a)]. given #14675 (H,wt=21): 16246 K(x,K(y,z)) * ((u * x) * w) = (u * T(x,K(y,z))) * w. [para(14865(a,1),16073(a,1,1)),flip(a)]. given #14676 (H,wt=21): 16248 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(240,a,6990,a(flip),b,16099,a)]. given #14677 (H,wt=19): 16316 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(15437,a,16248,a)]. given #14678 (H,wt=19): 16328 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). [para(16316(a,1),5184(a,1,2))]. given #14679 (H,wt=21): 16253 K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). [para(14129(a,1),16099(a,1,1)),flip(a)]. given #14680 (H,wt=19): 16334 K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). [hyper(14197,a,16253,a)]. given #14681 (H,wt=21): 16269 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). [para(8095(a,1),16268(a,1,2,1))]. given #14682 (H,wt=21): 16272 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(16259(a,1),15236(a,1,2,2))]. given #14683 (H,wt=21): 16274 K(x,K(y,z)) * (u \ K(x,z * y)) = u \ K(x,y * z). [hyper(73,a,10395,a(flip),b,16261,a),flip(a)]. given #14684 (H,wt=21): 16285 K(x,K(y,z)) * ((x * u) \ w) = (T(x,K(y,z)) * u) \ w. [para(14877(a,1),16283(a,1,1)),flip(a)]. given #14685 (H,wt=21): 16293 T(a(x,y,z),u) != w | a(x,y,z) * a(x,y,K(z,u)) = w. [para(13534(a,1),16084(a,1))]. given #14686 (H,wt=21): 16309 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,x)). [hyper(16240,a,11397,a)]. given #14687 (H,wt=19): 16339 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(1 / x,z). [hyper(240,a,7606,a(flip),b,16309,a)]. given #14688 (H,wt=21): 16310 K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). [hyper(240,a,6987,a,b,16028,a)]. given #14689 (H,wt=21): 16311 a(x,y,K(z,u)) * (w * K(x,u)) = w * K(x,L(u,y,z)). [para(11248(a,1),16183(a,2,2))]. given #14690 (H,wt=21): 16331 K(x,T(y,z)) * (K(u,w) * z) = K(u,w) * (z * K(x,y)). [para(7611(a,1),16316(a,1,2)),flip(a)]. given #14691 (H,wt=21): 16341 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(u,K(x,w)). [hyper(5191,a,16310,a)]. given #14692 (H,wt=21): 16343 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(x,K(u,w)). [hyper(240,a,7487,a,b,16341,a)]. given #14693 (H,wt=21): 16344 K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). [hyper(240,a,11314,a(flip),b,16343,a(flip)),flip(a)]. given #14694 (H,wt=22): 16033 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(15833(a,1),16006(a,1))]. given #14695 (H,wt=22): 16100 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(16051(a,1),230(a,1,2))]. given #14696 (H,wt=22): 16140 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(5196(a,1),16122(a,1,2))]. given #14697 (H,wt=22): 16143 K((K(x,y) * z) \ u,w) != v5 | K(z \ (K(y,x) * u),w) = v5. [para(5196(a,1),16142(a,1,1))]. given #14698 (H,wt=19): 16345 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(16143,a,15248,a),flip(a)]. given #14699 (H,wt=22): 16144 K(x \ (K(y,z) * u),w) != v5 | K((K(z,y) * x) \ u,w) = v5. [para(5195(a,1),16142(a,1,1))]. given #14700 (H,wt=22): 16176 K(x,L(y,z,(u * w) \ w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(16137(a,1),13992(a,1))]. given #14701 (H,wt=21): 16350 K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). [hyper(16176,a,13949,a),flip(a)]. given #14702 (H,wt=19): 16351 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(16176,a,16350,a)]. given #14703 (H,wt=19): 16352 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(14(a,1),16351(a,1,2,2)),flip(a)]. given #14704 (H,wt=22): 16177 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(16137(a,1),13994(a,1))]. given #14705 (H,wt=21): 16354 K(x,L(y,z \ 1,(z \ 1) \ u)) = K(x,L(y,u,u * z)). [hyper(16177,a,13949,a),flip(a)]. given #14706 (H,wt=22): 16191 K(x,a(y,z,u)) * (w * a(x,z,u)) = w * T(a(x,z,u),y). [para(7103(a,1),16188(a,1,2))]. given #14707 (H,wt=22): 16218 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(16025(a,1),7545(a,1))]. given #14708 (H,wt=22): 16242 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) != v5 | u \ w = v5. [para(16072(a,1),305(a,1))]. given #14709 (H,wt=22): 16297 T(x,y * (a(z,u,w) \ 1)) != v5 | T(x,a(z,u,w) \ y) = v5. [para(13752(a,2),16136(a,1))]. given #14710 (H,wt=22): 16317 K(x,y) * (K(z,u) * w) != v5 | K(z,u) * (K(x,y) * w) = v5. [para(16248(a,1),15437(a,1))]. given #14711 (H,wt=22): 16329 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. [para(16316(a,1),5194(a,1,2))]. given #14712 (H,wt=22): 16338 K((T(x,K(y,z)) * u) \ w,v5) != v6 | K((x * u) \ w,v5) = v6. [para(16285(a,1),15270(a,1,1))]. given #14713 (H,wt=22): 16340 K(x \ a(y,x,x \ 1),L(z,x,y)) != u | K(x \ 1,z) = u. [para(16339(a,2),5406(a,1))]. given #14714 (H,wt=22): 16347 K((x * K(y,z)) \ u,w) != v5 | K(x \ (K(z,y) * u),w) = v5. [para(15248(a,1),16143(a,1))]. given #14715 (H,wt=23): 16023 K(x,K(y,z)) * K(x,z * L(y,u,w)) = K(x,L(y,u,w) * z). [para(16004(a,1),10393(a,1,1))]. given #14716 (H,wt=23): 16094 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(16080(a,1),14572(a,1,2,1,2))]. given #14717 (H,wt=16): 16360 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(16080(a,1),16094(a,1,2)),flip(a)]. given #14718 (H,wt=14): 16361 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(240,a,32,a,b,16360,a)]. given #14719 (H,wt=14): 16363 T(x,y * K(a(z,u,w),v5)) = T(x,y). [hyper(15144,a,16361,a)]. given #14720 (H,wt=14): 16365 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(13491(a,2),16361(a,1,2,1))]. given #14721 (H,wt=14): 16366 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(13496(a,1),16361(a,1,2))]. given #14722 (H,wt=14): 16367 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(16156(a,1),16361(a,1,2))]. given #14723 (H,wt=14): 16370 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [para(10755(a,1),16365(a,1,2)),flip(a)]. given #14724 (H,wt=16): 16364 T(x,y * T(z,a(u,w,v5))) = T(x,y * z). [hyper(14998,a,16361,a)]. given #14725 (H,wt=16): 16377 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(73,a,16367,a(flip),b,4800,a(flip)),flip(a)]. given #14726 (H,wt=14): 16382 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(240,a,4753,a,b,16377,a)]. given #14727 (H,wt=14): 16384 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(16239,a,16382,a)]. given #14728 (H,wt=14): 16388 K(x,y * K(z,a(u,w,v5))) = K(x,y). [para(13491(a,1),16382(a,1,2,2))]. given #14729 (H,wt=16): 16386 K(x * a(y,z,K(u,w)),v5) = 1 / K(v5,x). [para(16382(a,1),4980(a,1,2)),flip(a)]. given #14730 (H,wt=14): 16390 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(240,a,4980,a(flip),b,16386,a)]. given #14731 (H,wt=14): 16394 K(x * K(y,a(z,u,w)),v5) = K(x,v5). [para(13491(a,1),16390(a,1,1,2))]. given #14732 (H,wt=14): 16396 K(K(x,a(y,z,u)) * w,v5) = K(w,v5). [para(16156(a,2),16390(a,1,1))]. given #14733 (H,wt=16): 16397 K(T(x,a(y,z,u)) \ w,v5) = K(x \ w,v5). [hyper(14994,a,16394,a),flip(a)]. given #14734 (H,wt=17): 16383 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(16377(a,2),4860(a,1))]. given #14735 (H,wt=17): 16391 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(16386(a,2),4982(a,1))]. given #14736 (H,wt=17): 16401 K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. [para(16156(a,2),16383(a,1,2))]. given #14737 (H,wt=17): 16405 K(K(x,a(y,z,u)) * w,v5) != v6 | K(w,v5) = v6. [para(16156(a,2),16391(a,1,1))]. given #14738 (H,wt=18): 16371 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(11280(a,1),16365(a,1,2)),flip(a)]. given #14739 (H,wt=18): 16373 T(x,K(y,L(z / u,w,v5))) = T(x,K(y,u \ z)). [hyper(240,a,15214,a(flip),b,16366,a)]. given #14740 (H,wt=18): 16378 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(11872(a,1),16367(a,1,2))]. given #14741 (H,wt=18): 16387 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(11872(a,1),16382(a,1,2))]. given #14742 (H,wt=18): 16389 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(11280(a,1),16384(a,1,2)),flip(a)]. given #14743 (H,wt=18): 16393 K(x * (y * a(z,u,K(w,v5))),v6) = K(x * y,v6). [para(11872(a,1),16390(a,1,1))]. given #14744 (H,wt=18): 16398 K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). [para(11310(a,1),16394(a,1,1))]. given #14745 (H,wt=18): 16409 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(11254(a,1),16371(a,1,2,1))]. given #14746 (H,wt=18): 16414 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [para(16082(a,2),16387(a,1,2,2))]. given #14747 (H,wt=18): 16416 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(14884,a,16409,a)]. given #14748 (H,wt=19): 16372 T(x,(y * z) * K(u,w)) = T(x,y * (z * K(u,w))). [para(13825(a,1),16365(a,1,2))]. given #14749 (H,wt=19): 16375 T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). [para(454(a,1),16366(a,1,2,2)),flip(a)]. given #14750 (H,wt=19): 16385 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(94(a,1),16382(a,1,2))]. given #14751 (H,wt=19): 16392 K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). [para(94(a,1),16390(a,1,1))]. given #14752 (H,wt=19): 16395 K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). [para(13566(a,1),16390(a,1,1))]. given #14753 (H,wt=19): 16403 K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. [para(13641(a,1),16391(a,1,1))]. given #14754 (H,wt=19): 16411 T(x,K(y,z / (u * w))) = T(x,K(y,u \ (z / w))). [para(14449(a,1),16373(a,1,2))]. given #14755 (H,wt=19): 16418 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(11310(a,1),16416(a,1,2)),flip(a)]. given #14756 (H,wt=19): 16419 T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). [hyper(8026,a,16375,a)]. given #14757 (H,wt=19): 16420 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). [hyper(15056,a,16385,a)]. given #14758 (H,wt=17): 16432 K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). [hyper(14991,a,16420,a),flip(a)]. given #14759 (H,wt=17): 16434 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [para(4776(a,2),16432(a,1,2,2))]. given #14760 (H,wt=17): 16435 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(4813(a,1),16432(a,1,2,2)),flip(a)]. given #14761 (H,wt=19): 16421 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(14931,a,16385,a)]. given #14762 (H,wt=19): 16424 K(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). [hyper(15168,a,16392,a)]. given #14763 (H,wt=19): 16425 K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). [hyper(14933,a,16392,a)]. given #14764 (H,wt=19): 16426 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(14615,a,16392,a)]. given #14765 (H,wt=19): 16433 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(15277,a,16420,a(flip)),flip(a)]. given #14766 (H,wt=17): 16446 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(4815(a,1),16433(a,1,2)),flip(a)]. given #14767 (H,wt=17): 16449 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(5380(a,1),16446(a,1,2)),flip(a)]. given #14768 (H,wt=19): 16436 K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). [para(3982(a,1),16435(a,1,2,2)),flip(a)]. given #14769 (H,wt=17): 16453 K(x,y * (z / (z / u))) = K(x,y * T(u,z)). [hyper(240,a,12720,a(flip),b,16436,a)]. given #14770 (H,wt=19): 16438 K(x,K(y,z) * (u * (w * K(z,y)))) = K(x,u * w). [para(7090(a,1),16421(a,2,2,2))]. given #14771 (H,wt=19): 16440 K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). [hyper(240,a,16395,a,b,16424,a(flip)),flip(a)]. given #14772 (H,wt=19): 16442 K(x * (y * K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(240,a,16424,a(flip),b,16425,a(flip))]. given #14773 (H,wt=19): 16452 K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). [para(3965(a,1),16449(a,1,2,1))]. given #14774 (H,wt=17): 16459 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [hyper(240,a,12723,a(flip),b,16452,a(flip)),flip(a)]. given #14775 (H,wt=17): 16461 K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). [hyper(240,a,12796,a(flip),b,16459,a(flip)),flip(a)]. given #14776 (H,wt=17): 16462 K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). [para(65(a,1),16459(a,1,2,1,1)),flip(a)]. given #14777 (H,wt=18): 16460 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(16452(a,1),13819(a,1))]. given #14778 (H,wt=19): 16455 K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). [hyper(15306,a,16440,a)]. given #14779 (H,wt=20): 16415 K(x * (y / T(z,a(u,w,v5))),v6) = K(x * (y / z),v6). [para(5926(a,1),16398(a,1,1,2)),flip(a)]. given #14780 (H,wt=20): 16417 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(16416(a,1),4750(a,2,2))]. given #14781 (H,wt=18): 16465 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(240,a,4750,a,b,16417,a)]. given #14782 (H,wt=18): 16467 K(x * K(y,L(z,u,w)),v5) = K(K(z,y) * x,v5). [hyper(14615,a,16465,a)]. given #14783 (H,wt=18): 16468 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(6271(a,1),16465(a,1,1,2))]. given #14784 (H,wt=21): 16368 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). [para(14007(a,1),16363(a,1,2))]. given #14785 (H,wt=21): 16399 K((a(x,y,z) * u) \ w,v5) = K((u * a(x,y,z)) \ w,v5). [para(9603(a,1),16396(a,1,1))]. given #14786 (H,wt=21): 16422 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). [para(13577(a,1),16385(a,2,2,2))]. given #14787 (H,wt=21): 16423 K(x * ((y / x) * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(15701,a,16392,a),flip(a)]. given #14788 (H,wt=21): 16428 K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). [para(5078(a,1),16395(a,1,1,1)),flip(a)]. given #14789 (H,wt=21): 16429 T(x,y * ((z / y) * K(u,w))) = T(x,K(u,w) * T(z,y)). [hyper(15192,a,16418,a),flip(a)]. given #14790 (H,wt=21): 16430 T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))). [para(14083(a,1),16418(a,2,2,2))]. given #14791 (H,wt=21): 16431 T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). [para(14088(a,1),16418(a,2,2,2))]. given #14792 (H,wt=21): 16443 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w). [para(7104(a,1),16425(a,2,1,2))]. given #14793 (H,wt=21): 16444 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(13577(a,1),16425(a,2,1,2))]. given #14794 (H,wt=21): 16451 K(x,T(y,z / u) * (z / u)) = K(x,T(u \ z,u) * y). [hyper(240,a,10293,a,b,16449,a),flip(a)]. given #14795 (H,wt=20): 16475 K(x,T(y \ z,y) * u) != w | K(x,(z / y) * u) = w. [para(16451(a,1),10299(a,1))]. given #14796 (H,wt=21): 16456 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5078(a,1),16440(a,1,1,1)),flip(a)]. given #14797 (H,wt=21): 16457 K(x * ((y / z) * K(z,u)),w) = K(x * (y / T(z,u)),w). [para(7104(a,1),16442(a,1,1,2)),flip(a)]. given #14798 (H,wt=21): 16458 K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). [para(14083(a,1),16442(a,1,1,2)),flip(a)]. given #14799 (H,wt=21): 16466 K(x * K(L(y,z,u),w),v5) != v6 | K(K(y,w) * x,v5) = v6. [para(16417(a,2),4833(a,1))]. given #14800 (H,wt=21): 16469 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. [para(16467(a,2),15151(a,1))]. given #14801 (H,wt=18): 16479 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(16469,a,14915,a(flip)),flip(a)]. given #14802 (H,wt=21): 16471 K(K(x,y) * ((x \ z) * u),w) = K((T(x,y) \ z) * u,w). [hyper(15151,a,16428,a)]. given #14803 (H,wt=21): 16473 T(x,K(y,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). [hyper(14643,a,16430,a)]. given #14804 (H,wt=21): 16476 K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,z)),w). [hyper(15273,a,16457,a)]. given #14805 (H,wt=21): 16477 K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(14915(a,2),16466(a,1))]. given #14806 (H,wt=21): 16480 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(14915(a,2),16469(a,1))]. given #14807 (H,wt=21): 16486 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(z,y) * x,v5) = v6. [para(15065(a,1),16477(a,1))]. given #14808 (H,wt=22): 16400 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(94(a,1),16383(a,1,2))]. given #14809 (H,wt=22): 16402 K((x * y) * K(z,u),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(94(a,1),16391(a,1,1))]. given #14810 (H,wt=22): 16404 K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. [para(13566(a,1),16391(a,1,1))]. given #14811 (H,wt=22): 16413 K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). [para(11872(a,1),16387(a,1,2,2))]. given #14812 (H,wt=22): 16427 K(x * (y * K(z,u)),w) != v5 | K(K(u,z) * (x * y),w) = v5. [para(16392(a,1),15168(a,1))]. given #14813 (H,wt=22): 16439 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(16421(a,2),15277(a,1))]. given #14814 (H,wt=22): 16447 K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(16433(a,1),14594(a,1))]. given #14815 (H,wt=22): 16448 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. [para(16433(a,2),15262(a,1))]. given #14816 (H,wt=22): 16478 K(x * (y * K(z,L(u,w,v5))),v6) = K(K(z,u) * (x * y),v6). [hyper(16469,a,16392,a),flip(a)]. given #14817 (H,wt=22): 16489 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(14886(a,2),16400(a,1))]. given #14818 (H,wt=22): 16490 K(K(x,y) * (z * u),w) != v5 | K(z * (u * K(y,x)),w) = v5. [para(15065(a,2),16402(a,1))]. given #14819 (H,wt=22): 16492 K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(16421(a,1),16448(a,1))]. given #14820 (H,wt=21): 16496 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). [hyper(16492,a,12915,a)]. given #14821 (H,wt=21): 16497 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(u,w))). [hyper(16492,a,16496,a(flip)),flip(a)]. given #14822 (H,wt=21): 16498 K(x,y * (z * K(u * w,u))) = K(x,y * (z * K(u,w))). [para(13(a,1),16496(a,1,2,2,2,2)),flip(a)]. given #14823 (H,wt=21): 16499 K(x,y * (z * K(u,w / u))) = K(x,y * (z * K(u,w))). [para(4959(a,2),16497(a,1,2,2,2))]. given #14824 (H,wt=21): 16501 K(x,y * (z * K(u,w / u))) = K(x,(y * z) * K(u,w)). [hyper(240,a,16385,a,b,16499,a)]. given #14825 (H,wt=22): 16493 K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). [hyper(15273,a,16478,a)]. given #14826 (H,wt=23): 16171 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). [hyper(240,a,14226,a(flip),b,16114,a(flip))]. given #14827 (H,wt=21): 16502 L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). [hyper(15328,a,16171,a),flip(a)]. given #14828 (H,wt=23): 16201 a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). [para(16200(a,1),13627(a,1,1))]. given #14829 (H,wt=23): 16214 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(16016(a,1),16019(a,2,2))]. given #14830 (H,wt=23): 16237 K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). [para(16223(a,1),7899(a,1,1))]. given #14831 (H,wt=23): 16241 L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). [para(16227(a,1),11248(a,1,1))]. given #14832 (H,wt=23): 16251 K(x,y) * (K(z,u) * (w * K(y,x))) = T(K(z,u) * w,K(x,y)). [para(16099(a,1),7563(a,1,2))]. given #14833 (H,wt=23): 16264 K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). [para(15173(a,1),16211(a,2,2))]. given #14834 (H,wt=21): 16508 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). [para(16264(a,1),15207(a,1,2))]. given #14835 (H,wt=21): 16509 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). [hyper(15266,a,16508,a(flip)),flip(a)]. given #14836 (H,wt=22): 16510 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (K(y,z) * u)). [para(11272(a,1),16509(a,1,2))]. given #14837 (H,wt=21): 16511 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(w,u) * z)). [hyper(240,a,15295,a(flip),b,16510,a(flip)),flip(a)]. given #14838 (H,wt=21): 16512 T(x,y * (K(z,u) * (z \ w))) = T(x,y * (T(z,u) \ w)). [para(7399(a,1),16511(a,1,2,2)),flip(a)]. given #14839 (H,wt=23): 16265 x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). [para(16211(a,1),16210(a,1,2))]. given #14840 (H,wt=23): 16267 (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). [para(13546(a,1),16224(a,1,1))]. given #14841 (H,wt=23): 16277 (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (K(y,K(z,u)) * v5). [para(16211(a,1),16262(a,1,1))]. given #14842 (H,wt=23): 16286 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(16016(a,1),16283(a,1,1))]. given #14843 (H,wt=23): 16287 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(16039(a,1),16283(a,1,1))]. given #14844 (H,wt=23): 16291 K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * K(z,u)) * v5)). [para(10160(a,1),16289(a,1,2,2))]. given #14845 (H,wt=23): 16312 T(x,K(y,z)) \ (u * (x * w)) = x \ (u * (T(x,K(y,z)) * w)). [hyper(73,a,16212,a(flip),b,7535,a),flip(a)]. given #14846 (H,wt=23): 16314 T(x,K(y,z)) \ ((u * x) * w) = x \ ((u * T(x,K(y,z))) * w). [hyper(73,a,16246,a(flip),b,7535,a),flip(a)]. given #14847 (H,wt=23): 16324 (x * y) \ (K(z,u) * (K(x,y) * w)) = (y * x) \ (K(z,u) * w). [hyper(73,a,16316,a,b,10164,a)]. given #14848 (H,wt=23): 16336 K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(z,u))). [hyper(14170,a,16272,a)]. given #14849 (H,wt=23): 16355 K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). [para(14(a,1),16354(a,2,2,3))]. given #14850 (H,wt=21): 16517 K(x,L(y,(z \ u) \ 1,z * (z \ u))) = K(x,L(y,z,u)). [hyper(16177,a,16355,a)]. given #14851 (H,wt=17): 16518 K(x,L(y,(z \ u) \ 1,u)) = K(x,L(y,z,u)). [para(14(a,1),16517(a,1,2,3))]. given #14852 (H,wt=23): 16408 T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,u \ (z \ w)) * v5). [para(235(a,1),16371(a,1,2,1,2))]. given #14853 (H,wt=23): 16410 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). [para(14449(a,1),16371(a,1,2,1)),flip(a)]. given #14854 (H,wt=23): 16412 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(94(a,1),16387(a,1,2,2))]. given #14855 (H,wt=23): 16437 K(x,y * (z * K(u * K(w,v5),v6))) = K(x,K(u,v6) * (y * z)). [hyper(15766,a,16421,a),flip(a)]. given #14856 (H,wt=23): 16470 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). [hyper(15194,a,16422,a)]. given #14857 (H,wt=21): 16522 K(x,y * (z \ K(u \ 1,w))) = K(x,y * (z \ K(u,w))). [hyper(240,a,16422,a(flip),b,16470,a(flip))]. given #14858 (H,wt=23): 16481 K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). [para(11320(a,1),16479(a,1,1,1)),flip(a)]. given #14859 (H,wt=23): 16484 K(x * (y / T(z,T(u,w))),v5) = K(x * (K(z,u) * (y / z)),v5). [hyper(240,a,15406,a,b,16476,a),flip(a)]. given #14860 (H,wt=23): 16507 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(8763,a,16251,a),flip(a)]. given #14861 (H,wt=23): 16519 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,(w * u) \ z) * v5). [hyper(15312,a,16410,a(flip)),flip(a)]. given #14862 (H,wt=23): 16524 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,u \ (w \ z)) * v5). [hyper(240,a,16408,a(flip),b,16519,a)]. given #14863 (H,wt=24): 16089 (a(x,y,z) * u) * T(w,u * a(x,y,z)) = w * (a(x,y,z) * u). [hyper(240,a,10369,a(flip),b,16080,a(flip)),flip(a)]. given #14864 (H,wt=24): 16174 K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). [hyper(11322,a,16137,a),flip(a)]. given #14865 (H,wt=24): 16186 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) != v5 * v6 | v5 \ w = v6. [para(16153(a,1),376(a,1,2))]. given #14866 (H,wt=24): 16190 x * K(y,a(z,u,w)) != v5 * v6 | v5 \ (K(w,a(y,u,z)) * x) = v6. [para(16161(a,1),517(a,1))]. given #14867 (H,wt=24): 16220 K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. [para(16039(a,1),15275(a,1,2,2))]. given #14868 (H,wt=24): 16307 K(x,L(y,z \ x,(z \ x) \ 1)) != u | K(x,L(y,z \ x,z)) = u. [para(11611(a,2),16202(a,1))]. given #14869 (H,wt=24): 16406 K(x,y * (a(z,u,w) * v5)) != v6 | K(x,y * (v5 * a(z,u,w))) = v6. [para(15094(a,1),16401(a,1))]. given #14870 (H,wt=24): 16407 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [hyper(240,a,14572,a,b,16371,a)]. given #14871 (H,wt=21): 16528 T(x,K(y,L(z,u,w)) * v5) != v6 | T(x,K(y,z) * v5) = v6. [para(16407(a,2),14580(a,1))]. given #14872 (H,wt=22): 16530 T(x,(K(y,z) * u) * w) != v5 | T(x,K(y,z) * (u * w)) = v5. [para(14459(a,1),16528(a,1,2))]. given #14873 (H,wt=19): 16531 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(16530,a,15217,a),flip(a)]. given #14874 (H,wt=22): 16532 T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (y * w)) = v5. [para(14151(a,2),16530(a,1))]. given #14875 (H,wt=22): 16533 T(x,(y * K(z,u)) * w) != v5 | T(x,K(z,u) * (y * w)) = v5. [para(15217(a,1),16530(a,1))]. given #14876 (H,wt=23): 16535 T(x,K(y,z) * ((u / (y * z)) * w)) = T(x,(u / (z * y)) * w). [para(9930(a,1),16531(a,1,2,1)),flip(a)]. given #14877 (H,wt=23): 16536 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ (y * z)) * w). [para(14007(a,1),16531(a,1,2,1)),flip(a)]. given #14878 (H,wt=24): 16491 K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. [para(15429(a,2),16404(a,1))]. given #14879 (H,wt=24): 16500 K(x,y * (z * K(u,u \ w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(16497(a,2),16492(a,1))]. given #14880 (H,wt=24): 16516 K(x,y / (T(z,T(u,w)) \ v5)) != v6 | K(x,y / (T(z,u) \ v5)) = v6. [para(16336(a,2),14170(a,1))]. given #14881 (H,wt=24): 16523 K(x * (K(y,z) * (u / y)),w) != v5 | K(x * (u / T(y,z)),w) = v5. [para(16484(a,1),15407(a,1))]. given #14882 (H,wt=24): 16527 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(7560(a,1),16407(a,2,2))]. given #14883 (H,wt=24): 16538 K(x * ((y / z) * K(z,u)),w) != v5 | K(x * (y / T(z,u)),w) = v5. [para(15245(a,1),16523(a,1))]. given #14884 (H,wt=24): 16540 K(K(x,y) * (z * (u / y)),w) != v5 | K(z * (u / T(y,x)),w) = v5. [para(16424(a,2),16538(a,1))]. given #14885 (H,wt=25): 16110 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(15454,a,16096,a)]. given #14886 (H,wt=23): 16541 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(240,a,7629,a(flip),b,16110,a)]. given #14887 (H,wt=22): 16542 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(16541(a,2),7780(a,1))]. given #14888 (H,wt=25): 16134 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(240,a,11264,a(flip),b,16102,a(flip))]. given #14889 (H,wt=25): 16135 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(16102(a,1),106(a,1,2))]. given #14890 (H,wt=25): 16232 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * T(a(y,z,u),w),v6)). [hyper(240,a,14965,a(flip),b,16223,a(flip)),flip(a)]. given #14891 (H,wt=25): 16255 L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,u)). [hyper(240,a,6918,a,b,16113,a(flip)),flip(a)]. given #14892 (H,wt=25): 16270 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,y \ (z / u))). [para(16258(a,1),15640(a,2,2))]. given #14893 (H,wt=23): 16546 T(x,K(((y \ z) * y) / (u * y),w)) = T(x,K(w,y \ (z / u))). [hyper(240,a,4800,a,b,16270,a)]. given #14894 (H,wt=23): 16547 T(x,K(y,((z \ u) * z) / (w * z))) = T(x,K(y,z \ (u / w))). [hyper(7578,a,16546,a)]. given #14895 (H,wt=23): 16548 T(x,K(y,z \ (((u \ w) * u) / u))) = T(x,K(y,u \ (w / z))). [hyper(240,a,16411,a(flip),b,16547,a(flip)),flip(a)]. given #14896 (H,wt=19): 16549 T(x,K(y,z \ (u \ w))) = T(x,K(y,u \ (w / z))). [para(15(a,1),16548(a,1,2,2,2))]. given #14897 (H,wt=19): 16550 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [para(15(a,1),16549(a,2,2,2,2))]. given #14898 (H,wt=19): 16552 T(x,K(y,z \ (u * K(w,v5)))) = T(x,K(y,z \ u)). [hyper(240,a,15467,a(flip),b,16550,a(flip)),flip(a)]. given #14899 (H,wt=21): 16553 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(73,a,16550,a(flip),b,4800,a(flip)),flip(a)]. given #14900 (H,wt=19): 16554 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(240,a,4753,a,b,16553,a)]. given #14901 (H,wt=19): 16555 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(16(a,1),16554(a,1,2,2,2,2))]. given #14902 (H,wt=19): 16556 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(240,a,15509,a(flip),b,16555,a)]. given #14903 (H,wt=20): 16557 K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. [para(16556(a,1),12741(a,1))]. given #14904 (H,wt=24): 16558 K(x,K(y,z \ (T(u,w) \ v5))) != v6 | K(x,K(y,u \ (z \ v5))) = v6. [para(16556(a,1),15541(a,1))]. given #14905 (H,wt=25): 16337 K(x,K(y,z)) * ((u \ K(x,z * y)) * w) = (u \ K(x,y * z)) * w. [para(16274(a,1),16073(a,1,1)),flip(a)]. given #14906 (H,wt=25): 16441 K(K(x,x \ y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [para(6231(a,1),16424(a,2,1,2))]. given #14907 (H,wt=23): 16560 K(K(x,y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [hyper(12733,a,16441,a)]. given #14908 (H,wt=25): 16463 K(x,(T(y,y \ z) \ T(z,T(y,y \ z))) * u) = K(x,(y \ z) * u). [para(209(a,1),16461(a,2,2,1))]. given #14909 (H,wt=21): 16561 K(x,(T(y,y \ z) \ T(z,y)) * u) = K(x,(y \ z) * u). [para(4129(a,1),16463(a,1,2,1,2))]. given #14910 (H,wt=21): 16562 K(x,(T(y \ z,y) * K(z,y)) * u) = K(x,(y \ z) * u). [para(14099(a,1),16561(a,1,2,1))]. given #14911 (H,wt=21): 16563 K(x,T((y \ z) * K(z,y),y) * u) = K(x,(y \ z) * u). [para(6868(a,2),16562(a,1,2,1))]. given #14912 (H,wt=19): 16564 K(x,T(y \ T(z,y),y) * u) = K(x,(y \ z) * u). [para(7093(a,1),16563(a,1,2,1,1))]. given #14913 (H,wt=17): 16565 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [hyper(16475,a,16564,a)]. given #14914 (H,wt=23): 16566 K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). [para(14184(a,1),16565(a,2,2))]. given #14915 (H,wt=21): 16568 K(x,(T(y \ z,u) / u) * K(z,y)) = K(x,u \ (z / y)). [hyper(240,a,15130,a(flip),b,16566,a(flip)),flip(a)]. given #14916 (H,wt=24): 16567 K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(16565(a,2),14931(a,1))]. given #14917 (H,wt=19): 16569 K(x,K(y,z) * (u \ (z \ y))) = K(x,u \ (y / z)). [hyper(16567,a,16568,a)]. given #14918 (H,wt=22): 16570 K(x,K(y,z \ (u / w))) != v5 | K(x,K(y,z \ (w \ u))) = v5. [para(16569(a,1),15518(a,1,2))]. given #14919 (H,wt=25): 16472 T(x,K(y,z) * (u * (w \ T(z,v5)))) = T(x,u * (w \ T(T(z,v5),y))). [hyper(15314,a,16430,a)]. given #14920 (H,wt=19): 16571 T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). [hyper(240,a,16431,a(flip),b,16472,a(flip))]. given #14921 (H,wt=25): 16483 T(x,K(y,z) * (u * (w \ T(y,v5)))) = T(x,u * (w \ T(T(y,v5),z))). [hyper(15279,a,16473,a)]. given #14922 (H,wt=25): 16495 K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. [para(16389(a,2),16489(a,1))]. given #14923 (H,wt=22): 16573 K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. [para(14459(a,1),16495(a,1,2))]. given #14924 (H,wt=19): 16574 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(16573,a,15234,a),flip(a)]. given #14925 (H,wt=19): 16575 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [hyper(16573,a,xx),flip(a)]. given #14926 (H,wt=21): 16577 K(x,(y \ z) * (u * K(z,w))) = K(x,(y \ T(z,w)) * u). [para(14083(a,1),16574(a,1,2,1)),flip(a)]. given #14927 (H,wt=21): 16580 K(x,(K(y,z) * u) * (w \ 1)) = K(x,u * (w \ K(y,z))). [para(13577(a,1),16575(a,2,2,2))]. given #14928 (H,wt=19): 16581 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(13799,a,16580,a)]. given #14929 (H,wt=19): 16582 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(15302,a,16581,a)]. given #14930 (H,wt=19): 16583 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(15371,a,16581,a(flip)),flip(a)]. given #14931 (H,wt=19): 16584 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [hyper(15371,a,16582,a(flip)),flip(a)]. given #14932 (H,wt=22): 16576 K(x,(y * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. [para(15234(a,1),16573(a,1))]. given #14933 (H,wt=22): 16585 K(x,(y * K(z,u)) / w) != v5 | K(x,y / (w * K(u,z))) = v5. [para(16582(a,2),15371(a,1))]. given #14934 (H,wt=22): 16586 K(x,y / (z * K(u,w))) != v5 | K(x,(K(w,u) * y) / z) = v5. [para(16584(a,1),15301(a,1))]. given #14935 (H,wt=23): 16578 K(x,(y * (K(z,y) * u)) * w) = K(x,(y * u) * (w * K(z,y))). [para(5166(a,1),16575(a,1,2,1))]. given #14936 (H,wt=24): 16572 K(x,K(y,L(z,u,w)) * (v5 * v6)) = K(x,v5 * (v6 * K(y \ 1,z))). [hyper(16495,a,14651,a),flip(a)]. given #14937 (H,wt=21): 16587 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(16495,a,16572,a),flip(a)]. given #14938 (H,wt=23): 16588 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(240,a,7445,a,b,16587,a(flip)),flip(a)]. given #14939 (H,wt=21): 16589 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4800(a,2),16588(a,2,2,2))]. given #14940 (H,wt=19): 16590 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(13799,a,16589,a)]. given #14941 (H,wt=17): 16591 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(14626,a,16590,a)]. given #14942 (H,wt=17): 16592 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13818,a,16591,a),flip(a)]. given #14943 (H,wt=15): 16593 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12785,a,16592,a)]. given #14944 (H,wt=17): 16594 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(16593(a,1),4809(a,2,1))]. given #14945 (H,wt=15): 16595 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(240,a,4809,a,b,16594,a)]. given #14946 (H,wt=25): 16504 x \ ((a(y,z,u) * w) * T(x,w)) = T(K(x,w) * (a(y,z,u) * w),x). [hyper(401,a,16237,a(flip),b,6913,a),flip(a)]. given #14947 (H,wt=25): 16520 K(x,y * ((z \ u) * (z * K(w,v5)))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(240,a,15370,a(flip),b,16412,a(flip))]. given #14948 (H,wt=25): 16521 K(x,y * (z * K(u * K(w,v5),T(v6,v7)))) = K(x,(y * z) * K(u,v6)). [hyper(240,a,15283,a(flip),b,16437,a)]. given #14949 (H,wt=25): 16537 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ (T(y,z) * z)) * w). [para(14032(a,1),16531(a,1,2,1)),flip(a)]. given #14950 (H,wt=25): 16544 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6650(a,1),16134(a,1,2,1))]. given #14951 (H,wt=25): 16545 L(x,y,(K(z \ 1,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,u)). [para(3019(a,1),16255(a,1,3,1,1))]. given #14952 (H,wt=25): 16559 K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * u. [hyper(240,a,10400,a(flip),b,16337,a(flip)),flip(a)]. given #14953 (H,wt=25): 16597 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(15304,a,16544,a)]. given #14954 (H,wt=25): 16598 L(x,y,K(z \ 1,u) * (w * (z \ 1))) = L(x,y,w * T(1 / z,u)). [para(6913(a,1),16545(a,1,3))]. given #14955 (H,wt=21): 16600 L(x,y,z * T(1 / u,w)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,16113,a(flip),b,16598,a(flip))]. given #14956 (H,wt=26): 16071 L(x,y,K(z,K(u,w))) = (x * (K(v5,K(v6,v7)) * v8)) / (v8 * K(v5,K(v6,v7))). [hyper(240,a,15171,a,b,16057,a)]. given #14957 (H,wt=13): 16601 L(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(16071(a,2),299(a,1))]. given #14958 (H,wt=26): 16111 K((x * K(y,L(z,u,w))) / (w * u),v5) = K(x / (w * (u * K(z,y))),v5). [hyper(240,a,14568,a(flip),b,16096,a(flip))]. given #14959 (H,wt=26): 16185 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(240,a,14052,a(flip),b,16153,a(flip))]. given #14960 (H,wt=26): 16305 K((x \ 1) * R(x,y,y \ 1),z) != u | K(a(x,y,y \ 1),T(z,w)) = u. [para(10347(a,1),16193(a,1))]. given #14961 (H,wt=26): 16325 K(x,y) * (K(z,u) * w) != v5 * v6 | v5 \ (K(z,u) * (K(x,y) * w)) = v6. [para(16316(a,1),517(a,1))]. given #14962 (H,wt=26): 16333 K(x,y) * (K(z,u) * (K(y,x) * w)) != v5 * v6 | (K(z,u) * w) / v6 = v5. [para(16328(a,1),381(a,1,1))]. given #14963 (H,wt=26): 16358 K((x * y) / (K(z,u) * y),w) != v5 | K(y \ (K(u,z) * (y * x)),w) = v5. [para(15379(a,2),16347(a,1))]. given #14964 (H,wt=26): 16369 (a(x,y,K(z,u)) * w) * T(v5,w) != v6 | v5 * (a(x,y,K(z,u)) * w) = v6. [para(16365(a,1),231(a,1,2))]. given #14965 (H,wt=23): 16604 a(x,y,K(z,u)) * (z * T(w,z)) = w * (a(x,y,K(z,u)) * z). [hyper(16369,a,13160,a),flip(a)]. given #14966 (H,wt=21): 16605 a(x,y,K(z,u)) * (w * z) = w * (a(x,y,K(z,u)) * z). [hyper(544,a,16604,a)]. given #14967 (H,wt=26): 16487 K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. [para(15137(a,2),16477(a,1))]. given #14968 (H,wt=26): 16488 K(K(x,(y * z) \ u) * w,v5) != v6 | K(K(x,z \ (y \ u)) * w,v5) = v6. [para(235(a,1),16480(a,1,1,1,2))]. given #14969 (H,wt=26): 16494 K(x,K(y,y \ z) * (u * w)) != v5 | K(x,u * (w * K(y,z / y))) = v5. [para(4959(a,1),16489(a,1,2,1))]. given #14970 (H,wt=26): 16506 K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. [para(16241(a,1),11281(a,1))]. given #14971 (H,wt=26): 16514 x \ (y * (K(z,K(u,w)) * v5)) != v6 | K(z,K(u,w)) * (x \ (y * v5)) = v6. [para(16265(a,2),14863(a,1))]. given #14972 (H,wt=26): 16525 T(x,K(y,z \ (u \ w)) * v5) != v6 | T(x,K(y,u \ (w / z)) * v5) = v6. [para(16524(a,1),15312(a,1))]. given #14973 (H,wt=26): 16529 T(x,K(y,(z * u) \ w) * v5) != v6 | T(x,K(y,u \ (z \ w)) * v5) = v6. [para(235(a,1),16528(a,1,2,1,2))]. given #14974 (H,wt=27): 16204 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) != w | a(x,u,K(y,z)) = w. [para(7027(a,2),16195(a,1))]. given #14975 (H,wt=27): 16348 L(K((K(x,y) * z) \ u,w),v5,K(v6,v7)) != v8 | K(z \ (K(y,x) * u),w) = v8. [para(16051(a,2),16143(a,1))]. given #14976 (H,wt=27): 16353 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,L(y,R(z,u,u \ 1),z \ 1)). [para(679(a,1),16351(a,1,2,2)),flip(a)]. given #14977 (H,wt=27): 16359 K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K(x \ (K(z,u) * y),w) = v5. [para(15411(a,2),16347(a,1))]. given #14978 (H,wt=27): 16450 K(x,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). [para(6967(a,1),16446(a,1,2,2,1))]. given #14979 (H,wt=25): 16606 K(x,(y \ z) * (K(u,y \ z) * w)) = K(x,T(T(z / y,z),u) * w). [hyper(240,a,12758,a(flip),b,16450,a(flip)),flip(a)]. given #14980 (H,wt=21): 16607 K(x,T(T(y / z,y),u) * w) = K(x,T(z \ y,u) * w). [hyper(240,a,16446,a(flip),b,16606,a(flip))]. given #14981 (H,wt=27): 16515 (x * (y * (K(z,K(u,w)) * v5))) \ v6 = K(z,K(u,w)) * ((x * (y * v5)) \ v6). [para(16039(a,1),16286(a,1,1,2))]. given #14982 (H,wt=27): 16526 (a(x,y,z) * u) * w != v5 * (a(x,y,z) * u) | T(v5,u * a(x,y,z)) = w. [para(16089(a,1),19(a,1)),flip(a)]. given #14983 (H,wt=28): 16155 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). [para(16082(a,1),608(a,1,2,1))]. given #14984 (H,wt=24): 16608 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). [para(16067(a,1),16155(a,2,1))]. given #14985 (H,wt=24): 16609 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = a(z,u,K(w,L(v5,x,y))). [hyper(240,a,14500,a,b,16608,a)]. given #14986 (H,wt=24): 16611 (x * y) * a(z,u,K(w,L(v5,x,y))) = (x * a(z,u,K(w,v5))) * y. [para(16609(a,1),14(a,1,2))]. given #14987 (H,wt=28): 16175 K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,14119,a(flip),b,16137,a(flip))]. given #14988 (H,wt=28): 16299 K(x,a(y,z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). [para(16298(a,1),14066(a,1,1))]. given #14989 (H,wt=26): 16612 K(x,a(y,z,u)) * (x * (K(u,y) * z)) = (x * T(z,K(y,u))) * K(u,y). [para(6988(a,1),16299(a,1,2,2))]. given #14990 (H,wt=24): 16614 T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(y,u))) * K(u,y). [hyper(5240,a,16612,a)]. given #14991 (H,wt=24): 16615 T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(u,y))) * K(u,y). [para(7560(a,1),16614(a,2,1,2))]. given #14992 (H,wt=28): 16313 K(x,K(y,z)) * (u * (x * w)) != v5 * v6 | v5 \ (u * (T(x,K(y,z)) * w)) = v6. [para(16212(a,2),517(a,1))]. given #14993 (H,wt=28): 16315 K(x,K(y,z)) * ((u * x) * w) != v5 * v6 | v5 \ ((u * T(x,K(y,z))) * w) = v6. [para(16246(a,2),517(a,1))]. given #14994 (H,wt=28): 16357 K(((K(x,y) * (z * x)) * u) \ w,v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. [para(7876(a,1),16338(a,1,1,1,1))]. given #14995 (H,wt=28): 16539 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z \ 1)). [para(8008(a,1),16527(a,2,2,1,2))]. given #14996 (H,wt=26): 16616 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(8003(a,1),16539(a,2,2))]. given #14997 (H,wt=20): 16617 T(x,K(y,L(z \ 1,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(240,a,14572,a(flip),b,16616,a)]. given #14998 (H,wt=17): 16618 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(16528,a,16617,a)]. given #14999 (H,wt=29): 16229 L(K(x,y) * (a(z,u,w) \ v5),K(y,x),a(z,u,w)) = (K(y,x) * a(z,u,w)) \ v5. [para(16221(a,2),5202(a,2,1))]. given #15000 (H,wt=29): 16257 L(x,y,K(z * (L(u,w,v5) \ 1),z) * v6) = L(x,y,v6 * K(u \ 1,L(z,w,v5))). [para(11255(a,1),16146(a,2,3,2))]. given #15001 (H,wt=27): 16619 L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,L(v5,u,w))). [para(6470(a,1),16257(a,1,3,1))]. given #15002 (H,wt=29): 16266 K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). [para(16215(a,1),13941(a,1,2))]. given #15003 (H,wt=27): 16620 K(x \ (y \ z),x * y) * K(x,K(y,x \ z)) = K((x * y) \ z,y * x). [para(7555(a,1),16266(a,1,2))]. given #15004 (H,wt=25): 16621 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K((x * y) \ z,y * x). [para(7643(a,1),16620(a,1,2))]. given #15005 (H,wt=25): 16622 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),y * x). [hyper(240,a,13762,a(flip),b,16621,a)]. given #15006 (H,wt=29): 16292 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(15177(a,1),16289(a,1,2,2))]. given #15007 (H,wt=29): 16454 K(x,y * T((z \ 1) * u,L(u,z \ 1,z))) = K(x,y * (L(u,z \ 1,z) / z)). [para(403(a,1),16453(a,1,2,2,2)),flip(a)]. given #15008 (H,wt=29): 16464 K(x,T(T(y / z,y),u) * ((z \ y) \ w)) = K(x,K(y \ (z * u),z \ y) * w). [hyper(240,a,13235,a(flip),b,16462,a(flip))]. given #15009 (H,wt=27): 16624 K(x,K(y \ (z * u),z \ y) * w) = K(x,T(z \ y,u) * ((z \ y) \ w)). [hyper(240,a,16607,a(flip),b,16464,a(flip))]. given #15010 (H,wt=23): 16625 K(x,K(y \ (z * u),z \ y) * w) = K(x,K(z \ y,u) * w). [para(4780(a,1),16624(a,2,2))]. given #15011 (H,wt=23): 16626 K(x,y * K(z \ (u * w),u \ z)) = K(x,K(u \ z,w) * y). [hyper(14910,a,16625,a)]. given #15012 (H,wt=29): 16579 K(x,y * (z * K(u,w))) * K(x,K(K(u,w) * y,z)) = K(x,z * (K(u,w) * y)). [para(16575(a,1),10396(a,1,1))]. given #15013 (H,wt=25): 16627 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,z * (K(u,w) * y)). [para(15526(a,1),16579(a,1,2))]. given #15014 (H,wt=25): 16628 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(u,w) * (z * y)). [hyper(16447,a,16627,a(flip)),flip(a)]. given #15015 (H,wt=25): 16630 K(x,K(y,z)) * K(x,y * (z * K(u,w))) = K(x,K(u,w) * (z * y)). [hyper(14894,a,16628,a)]. given #15016 (H,wt=28): 16631 K(x,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. [para(16628(a,2),16439(a,1))]. given #15017 (H,wt=29): 16599 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(16597(a,1),7098(a,1,1,2))]. given #15018 (H,wt=25): 16633 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(14988,a,16599,a),flip(a)]. given #15019 (H,wt=29): 16623 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(7094(a,1),16292(a,1,2,2,1))]. given #15020 (H,wt=30): 16184 (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(16152(a,2),10045(a,1,1,2))]. given #15021 (H,wt=21): 16635 x * (a(y,z,K(u,w)) * v5) = x * (a(w,z,K(y,u)) * v5). [hyper(16068,a,16184,a)]. given #15022 (H,wt=31): 16106 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(z \ u) \ (w * K(y,y \ z))). [hyper(240,a,14793,a(flip),b,16095,a(flip)),flip(a)]. given #15023 (H,wt=31): 16189 K(x,y) \ (K(z,a(K(y,x) * u,w,v5)) * T(u,K(y,x))) = T(u * K(y,x),a(v5,w,z)). [hyper(73,a,16161,a,b,15612,a(flip))]. given #15024 (H,wt=31): 16198 ((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(16196(a,1),14523(a,1,2))]. given #15025 (H,wt=24): 16638 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(14026,a,16198,a),flip(a)]. given #15026 (H,wt=22): 16640 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(6988(a,1),16638(a,1,1))]. given #15027 (H,wt=15): 16641 R(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [hyper(438,a,16640,a),flip(a)]. given #15028 (H,wt=13): 16642 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,10049,a(flip),b,16641,a(flip)),flip(a)]. given #15029 (H,wt=10): 16647 L(x,y,K(z,y \ 1)) = x. [hyper(240,a,6602,a(flip),b,16642,a(flip))]. given #15030 (H,wt=11): 16654 R(x,y,K(y,z)) != u | u = x. [para(16642(a,2),3877(a,1))]. given #15031 (H,wt=13): 16653 R(x,y,K(z \ 1,z)) != u | x = u. [para(16642(a,2),3571(a,1))]. given #15032 (H,wt=19): 16658 R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). [para(13530(a,2),16642(a,1,3))]. given #15033 (H,wt=19): 16659 R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). [para(13530(a,2),16658(a,2,3))]. given #15034 (H,wt=20): 16650 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(16642(a,1),118(a,1,1))]. given #15035 (H,wt=21): 16656 L(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(16642(a,1),6409(a,1))]. given #15036 (H,wt=22): 16643 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(16641(a,1),7031(a,1,1))]. given #15037 (H,wt=22): 16651 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(16642(a,1),468(a,1,1))]. given #15038 (H,wt=23): 16652 L(x,y,K(z,u)) * (y * K(z,u)) != w | (x * y) * K(z,u) = w. [para(16642(a,1),233(a,1,1))]. given #15039 (H,wt=24): 16644 L(R(x,y,z),y * z,K(u,z \ 1)) = R(x,y,z * K(u,z \ 1)). [hyper(11470,a,16642,a),flip(a)]. given #15040 (H,wt=24): 16649 L(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [hyper(240,a,497,a(flip),b,16642,a(flip))]. given #15041 (H,wt=22): 16665 L(x / y,y,K(x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [hyper(240,a,13009,a(flip),b,16649,a(flip)),flip(a)]. given #15042 (H,wt=17): 16666 ((x \ y) * x) / (z * K(x \ y,x)) = y / z. [hyper(240,a,13512,a(flip),b,16665,a(flip))]. given #15043 (H,wt=19): 16668 (x * y) / (z * K(y \ (y * x),y)) = (y * x) / z. [para(13(a,1),16666(a,1,1,1))]. given #15044 (H,wt=15): 16670 (x * y) / (z * K(x,y)) = (y * x) / z. [para(13(a,1),16668(a,1,2,2,1))]. given #15045 (H,wt=17): 16672 (x * y) / (z \ T(x,y)) = (y * x) / (z \ x). [para(14083(a,1),16670(a,1,2))]. given #15046 (H,wt=26): 16655 L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(16642(a,1),5145(a,1,1))]. given #15047 (H,wt=28): 16662 L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). [para(3197(a,1),16651(a,1,2))]. given #15048 (H,wt=28): 16663 L(x,x \ (y \ z),K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(7311(a,2),16651(a,1,2))]. given #15049 (H,wt=30): 16646 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(y,z) \ u)) / u. [hyper(240,a,10117,a(flip),b,16642,a(flip))]. given #15050 (H,wt=30): 16673 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. [para(5183(a,1),16646(a,2,1,2,2))]. given #15051 (H,wt=30): 16674 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,K(z,y) * u))) / u. [para(6964(a,2),16673(a,2,1,2))]. given #15052 (H,wt=26): 16675 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,u))) / u. [para(6813(a,1),16674(a,2,1,2,2))]. given #15053 (H,wt=26): 16676 L(x / (K(y,z) * u),K(z,y) \ u,K(z,y)) = (x * K(z,T(y,u))) / u. [para(5183(a,1),16675(a,1,1,2))]. given #15054 (H,wt=31): 16231 a(a(x,y,z),K(u,w),v5) * (a(x,y,z) * (K(u,w) * v5)) = (K(u,w) * a(x,y,z)) * v5. [para(16221(a,2),13825(a,2,1))]. given #15055 (H,wt=31): 16379 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(16367(a,1),12847(a,1,1,1,1))]. given #15056 (H,wt=31): 16632 K(x,K(y,z * u)) * K(x,y * (z * (u * K(w,v5)))) = K(x,K(w,v5) * ((z * u) * y)). [para(16412(a,1),16630(a,1,2))]. given #15057 (H,wt=29): 16681 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,K(z,w) * ((z * u) * y)). [para(15419(a,1),16632(a,1,2))]. given #15058 (H,wt=21): 16682 K(x,K(y,z) * ((y * u) * w)) = K(x,(T(y,z) * u) * w). [hyper(240,a,15538,a(flip),b,16681,a(flip))]. given #15059 (H,wt=21): 16683 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [hyper(16448,a,16682,a)]. given #15060 (H,wt=21): 16684 K(x,(y * (K(z,y) * u)) * w) = K(x,(T(y,z) * u) * w). [hyper(240,a,16578,a,b,16683,a(flip)),flip(a)]. given #15061 (H,wt=17): 16685 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(4872(a,1),16684(a,1,2,1)),flip(a)]. given #15062 (H,wt=19): 16687 K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). [hyper(240,a,13587,a(flip),b,16685,a)]. given #15063 (H,wt=17): 16689 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [hyper(13799,a,16687,a)]. given #15064 (H,wt=19): 16688 K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). [para(124(a,1),16685(a,1,2,1,1))]. given #15065 (H,wt=17): 16691 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(15611,a,16688,a),flip(a)]. given #15066 (H,wt=19): 16690 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(124(a,1),16689(a,1,2,1,1))]. given #15067 (H,wt=21): 16686 K(x,(T(y \ z,y) * u) * w) = K(x,((z / y) * u) * w). [para(5380(a,1),16684(a,1,2,1)),flip(a)]. given #15068 (H,wt=23): 16692 K(x,T(y,z * y) * u) = K(x,(((z \ 1) \ y) * (z \ 1)) * u). [para(4256(a,2),16691(a,1,2,1)),flip(a)]. given #15069 (H,wt=19): 16695 K(x,T(y,z \ 1) * u) = K(x,T(y,z * y) * u). [hyper(240,a,15610,a(flip),b,16692,a),flip(a)]. given #15070 (H,wt=19): 16696 K(x,T(y,z \ 1) * u) = K(x,T(y,y * z) * u). [para(4192(a,1),16695(a,2,2,1))]. given #15071 (H,wt=17): 16697 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(240,a,12722,a(flip),b,16696,a)]. given #15072 (H,wt=27): 16693 K(x,(((y \ 1) \ z) * (y \ 1)) / u) = K(x,(z * K(y \ 1,y * z)) / u). [para(9021(a,1),16690(a,2,2,1))]. given #15073 (H,wt=23): 16698 K(x,(y * K(z \ 1,z * y)) / u) = K(x,T(y,z \ 1) / u). [hyper(15353,a,16693,a),flip(a)]. given #15074 (H,wt=23): 16699 K(x,y * (z \ K(u \ 1,u * y))) = K(x,T(y,u \ 1) / z). [hyper(240,a,16582,a(flip),b,16698,a(flip)),flip(a)]. given #15075 (H,wt=21): 16700 K(x,y * (z \ K(u,u * y))) = K(x,T(y,u \ 1) / z). [hyper(240,a,16522,a(flip),b,16699,a(flip)),flip(a)]. given #15076 (H,wt=21): 16701 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u \ 1) / z). [para(6682(a,2),16700(a,1,2,2,2))]. given #15077 (H,wt=31): 16636 (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(16635(a,1),24(a,2,1)),flip(a)]. given #15078 (H,wt=31): 16680 K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * (K(v5,y) * w)) = (K(v5,y) * a(x,z,u)) * w. [para(13936(a,1),16231(a,1,1))]. given #15079 (H,wt=26): 16702 T(a(x,y,z),a(u,w,v5)) * (K(v5,u) * w) = (K(v5,u) * a(x,y,z)) * w. [hyper(240,a,13912,a(flip),b,16680,a(flip)),flip(a)]. given #15080 (H,wt=25): 16703 (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (K(w,v5) * a(x,y,z)) * u. [hyper(240,a,16615,a(flip),b,16702,a(flip)),flip(a)]. given #15081 (H,wt=23): 16704 (a(x,y,z) * u) * K(w,T(v5,u)) = (K(w,v5) * a(x,y,z)) * u. [hyper(240,a,10848,a(flip),b,16703,a(flip)),flip(a)]. given #15082 (H,wt=31): 16694 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,(T(z \ u,z) * w) * y). [hyper(240,a,15548,a,b,16686,a),flip(a)]. given #15083 (H,wt=21): 16705 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). [hyper(17,a,15538,a,b,16694,a),flip(a)]. given #15084 (H,wt=21): 16706 K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). [para(13(a,1),16705(a,1,2,2,1,1)),flip(a)]. given #15085 (H,wt=17): 16707 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(16(a,1),16706(a,1,2,2)),flip(a)]. given #15086 (H,wt=21): 16708 K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). [para(5371(a,1),16706(a,1,2,2))]. given #15087 (H,wt=25): 16709 K(x,y * (z * (K(u,z) * (w / z)))) = K(x,y * ((T(z,u) \ w) * z)). [para(7257(a,1),16707(a,1,2,2,1)),flip(a)]. given #15088 (H,wt=23): 16714 K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (T(z,u) * (w / z))). [hyper(240,a,16708,a(flip),b,16709,a(flip))]. given #15089 (H,wt=25): 16710 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). [para(8260(a,1),16707(a,1,2,2,1))]. given #15090 (H,wt=25): 16711 K(x,y * ((z \ u) * (z * K(w,z)))) = K(x,y * (z * (u / T(z,w)))). [para(10826(a,1),16707(a,1,2,2))]. given #15091 (H,wt=23): 16715 K(x,y * (K(z,u) * T(w,u))) = K(x,y * (u * (w / T(u,z)))). [hyper(240,a,16520,a(flip),b,16711,a(flip)),flip(a)]. given #15092 (H,wt=23): 16716 K(x,y * T(K(z,u) * w,u)) = K(x,y * (u * (w / T(u,z)))). [para(6875(a,2),16715(a,1,2,2))]. given #15093 (H,wt=25): 16717 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * T(K(u,z) * w,z)). [hyper(240,a,16710,a,b,16716,a),flip(a)]. given #15094 (H,wt=25): 16718 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * T(K(u,z) * w,z)). [hyper(240,a,16714,a(flip),b,16717,a(flip)),flip(a)]. given #15095 (H,wt=32): 16031 x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(16008(a,1),14562(a,1,2,1,1))]. given #15096 (H,wt=31): 16719 x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). [para(11276(a,1),16031(a,1,2,2,1))]. given #15097 (H,wt=31): 16721 x \ (K(y,K(z,u * x)) * (w / ((x * (T(u,x) * K(y,z))) \ w))) = T(K(y,z) * u,x). [para(16074(a,1),16719(a,1,2))]. given #15098 (H,wt=27): 16722 x \ (K(y,K(z,u * x)) * (x * (T(u,x) * K(y,z)))) = T(K(y,z) * u,x). [para(62(a,1),16721(a,1,2,2))]. given #15099 (H,wt=23): 16723 x \ (x * (T(y,x) * K(z,T(u,y * x)))) = T(K(z,u) * y,x). [para(16264(a,1),16722(a,1,2))]. given #15100 (H,wt=19): 16724 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [hyper(242,a,16723,a)]. given #15101 (H,wt=19): 16725 T(x,y) \ T(K(z,u) * x,y) = K(z,T(u,x * y)). [hyper(73,a,16723,a(flip),b,13,a(flip))]. given #15102 (H,wt=19): 16729 T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). [para(14932(a,1),16724(a,1,2))]. given #15103 (H,wt=22): 16728 T(x,y) \ T(K(z,u) * x,y) != w | K(z,T(u,x * y)) = w. [para(16724(a,1),241(a,1,2)),flip(b)]. given #15104 (H,wt=23): 16730 T(x,y) * K(z,T(u,K(w,v5) * (x * y))) = T(K(z,u) * x,y). [para(15426(a,2),16724(a,1,2))]. given #15105 (H,wt=25): 16732 T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = T(K(z,u) * x,y). [para(10182(a,1),16730(a,1,2,2,2))]. given #15106 (H,wt=27): 16733 T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = y \ ((K(z,u) * x) * y). [hyper(240,a,32,a(flip),b,16732,a)]. given #15107 (H,wt=29): 16726 T(x,(y \ z) \ 1) \ T(K(u,w) * x,z \ y) = K(u,T(w,x * ((y \ z) \ 1))). [hyper(73,a,6086,a(flip),b,16724,a)]. given #15108 (H,wt=27): 16735 T(x,y \ z) \ T(K(u,w) * x,y \ z) = K(u,T(w,x * ((z \ y) \ 1))). [para(6086(a,1),16726(a,1,1))]. given #15109 (H,wt=21): 16736 K(x,T(y,z * ((u \ w) \ 1))) = K(x,T(y,z * (w \ u))). [hyper(16728,a,16735,a),flip(a)]. given #15110 (H,wt=19): 16737 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w * (u \ z))). [hyper(15157,a,16736,a)]. given #15111 (H,wt=19): 16738 K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). [hyper(8085,a,16737,a)]. given #15112 (H,wt=19): 16739 K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). [hyper(240,a,15476,a(flip),b,16737,a(flip)),flip(a)]. given #15113 (H,wt=22): 16740 K(x,T(y,z * (u \ w))) != v5 | K(x,T(y,z \ (w \ u))) = v5. [para(16737(a,1),8085(a,1))]. given #15114 (H,wt=30): 16734 T(x,y) * K(z,T(u,((w \ y) * w) * T(x,y))) = y \ (K(z,L(u,x,y)) * (x * y)). [para(14459(a,2),16733(a,2,2))]. given #15115 (H,wt=31): 16731 (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(75,a,4513,a(flip),b,16729,a)]. given #15116 (H,wt=27): 16742 T(T(x,y),K(z,u)) / K(z,T(u,y * (x / K(z,u)))) = T(x / K(z,u),y). [para(7875(a,1),16731(a,1,1))]. given #15117 (H,wt=27): 16743 T(T(x,y),K(z,u)) / K(z,T(u,y * (x * K(u,z)))) = T(x / K(z,u),y). [para(7094(a,1),16742(a,1,2,2,2,2))]. given #15118 (H,wt=23): 16744 T(T(x,y),K(z,u)) / K(z,T(u,y * x)) = T(x / K(z,u),y). [para(7696(a,1),16743(a,1,2,2))]. given #15119 (H,wt=23): 16745 T(T(x,y),K(z,u)) * K(u,T(z,y * x)) = T(x / K(z,u),y). [hyper(7250,a,16744,a)]. given #15120 (H,wt=19): 16748 K(x,T(y,z * u)) * T(u,z) = T(u / K(y,x),z). [hyper(15021,a,16745,a)]. given #15121 (H,wt=19): 16749 K(x,T(y,z * u)) * T(u,z) = T(u * K(x,y),z). [para(7094(a,1),16748(a,2,1))]. given #15122 (H,wt=19): 16750 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(14833(a,1),16749(a,1,1)),flip(a)]. given #15123 (H,wt=19): 16751 T(x,T(y * K(z,u),w)) = T(x,K(z,u) * T(y,w)). [para(16749(a,1),15215(a,1,2))]. given #15124 (H,wt=19): 16753 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(240,a,14862,a(flip),b,16750,a)]. given #15125 (H,wt=19): 16755 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [para(14862(a,2),16750(a,1,1))]. given #15126 (H,wt=19): 16757 T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [hyper(240,a,14875,a(flip),b,16751,a)]. given #15127 (H,wt=19): 16758 K(x,K(y,z)) \ T(u,w) = T(K(x,K(y,z)) \ u,w). [hyper(4548,a,16753,a)]. given #15128 (H,wt=23): 16752 T(K(x,y) * K(z,K(u,w)),v5) = K(z,K(u,w)) * K(x,T(y,v5)). [hyper(240,a,6985,a,b,16750,a)]. given #15129 (H,wt=23): 16756 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). [para(16750(a,2),16245(a,1,1))]. given #15130 (H,wt=21): 16765 T(x,y) * (z * K(x,K(u,w))) = T(T(x,K(u,w)),y) * z. [para(4800(a,2),16756(a,1,1,1)),flip(a)]. given #15131 (H,wt=23): 16759 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(16753(a,2),7529(a,1,1))]. given #15132 (H,wt=23): 16760 T(x * K(y,K(z,u)),w) \ v5 = K(y,K(z,u)) * (T(x,w) \ v5). [para(16753(a,2),16283(a,1,1))]. given #15133 (H,wt=23): 16762 T(x,T(y,z * u) * K(z,u)) = T(x,(z * u) * (y / (u * z))). [hyper(10310,a,16757,a),flip(a)]. given #15134 (H,wt=23): 16763 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [hyper(240,a,15669,a(flip),b,16758,a)]. given #15135 (H,wt=23): 16766 T(T(x,K(y,z)),z) * (y / x) = T(T(x,z),x \ y) * (x \ y). [hyper(240,a,8874,a(flip),b,16765,a(flip))]. given #15136 (H,wt=21): 16770 T(T(x,y),x \ z) * (x \ z) = T(x,T(y,z)) * (z / x). [para(7575(a,1),16766(a,1,1)),flip(a)]. given #15137 (H,wt=23): 16768 T(x,((y * z) \ u) * (z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(15779,a,16762,a)]. given #15138 (H,wt=23): 16769 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [hyper(240,a,15725,a(flip),b,16763,a(flip)),flip(a)]. given #15139 (H,wt=23): 16772 T(x,((y * z) \ u) * (z * y)) = T(x,K(y,z) * T(u,z * y)). [hyper(240,a,15637,a,b,16768,a)]. given #15140 (H,wt=23): 16773 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [hyper(240,a,15717,a(flip),b,16769,a(flip)),flip(a)]. given #15141 (H,wt=23): 16775 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7560(a,1),16773(a,2,2))]. given #15142 (H,wt=25): 16761 a(K(x,K(y,z)) * T(u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). [para(16755(a,1),15213(a,1,1))]. given #15143 (H,wt=25): 16771 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * ((z \ w) * T(z,u))). [para(16770(a,1),16707(a,1,2,2))]. given #15144 (H,wt=23): 16778 K(x,y * T(K(z,u) * w,u)) = K(x,y * ((u \ w) * T(u,z))). [hyper(240,a,16718,a(flip),b,16771,a(flip)),flip(a)]. given #15145 (H,wt=25): 16776 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(16775(a,1),16623(a,1,2,2))]. given #15146 (H,wt=21): 16779 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [hyper(240,a,16290,a(flip),b,16776,a(flip))]. given #15147 (H,wt=19): 16781 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),16779(a,2,2,2))]. given #15148 (H,wt=19): 16782 K(x,y \ T(z,K(u,w) \ v5)) = K(x,y \ T(z,v5)). [hyper(240,a,15250,a(flip),b,16781,a(flip)),flip(a)]. given #15149 (H,wt=21): 16783 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(5051(a,1),16782(a,1,2,2,2))]. given #15150 (H,wt=23): 16784 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [hyper(12821,a,16783,a),flip(a)]. given #15151 (H,wt=23): 16785 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(3924(a,1),16784(a,2,2,2))]. given #15152 (H,wt=27): 16767 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(15033(a,1),16759(a,1,1,1))]. given #15153 (H,wt=27): 16786 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(7113,a,16767,a),flip(a)]. given #15154 (H,wt=27): 16787 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(6964(a,2),16786(a,1,2))]. given #15155 (H,wt=27): 16788 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7250,a,16787,a),flip(a)]. given #15156 (H,wt=29): 16764 T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u) = K(x \ (y * T(z,u)),x / y). [hyper(240,a,15675,a(flip),b,16752,a)]. given #15157 (H,wt=23): 16790 K(x \ (y * T(z,u)),x / y) = T(K(x \ (y * z),x / y),u). [para(10545(a,1),16764(a,1,1)),flip(a)]. given #15158 (H,wt=26): 16791 K(x \ (y * T(z,u)),x / y) != w | K(x \ (y * z),T(x / y,u)) = w. [para(16790(a,2),7299(a,1))]. given #15159 (H,wt=26): 16792 K(x \ (y * z),T(z \ x,u)) != w | K(x \ (z * y),T(x / z,u)) = w. [para(14754(a,1),16791(a,1))]. given #15160 (H,wt=31): 16777 a(K(x,K(y,z)) * T(u * w,v5),T(v5,u * w),v6) = a(u * (K(x,K(y,z)) * w),v5,v6). [para(16211(a,1),16761(a,2,1))]. given #15161 (H,wt=25): 16793 a(K(x,K(y,z)) * (u * w),v5,v6) = a(u * (K(x,K(y,z)) * w),v5,v6). [hyper(240,a,16761,a(flip),b,16777,a(flip)),flip(a)]. given #15162 (H,wt=31): 16789 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(240,a,11224,a,b,16788,a(flip)),flip(a)]. given #15163 (H,wt=31): 16795 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(6938(a,1),16789(a,1,2,1))]. given #15164 (H,wt=27): 16796 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(15173(a,1),16795(a,1,2,1))]. given #15165 (H,wt=27): 16797 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5193,a,16796,a),flip(a)]. given #15166 (H,wt=27): 16798 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(240,a,14983,a(flip),b,16797,a(flip)),flip(a)]. given #15167 (H,wt=32): 16281 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(16278(a,1),15091(a,1,1))]. given #15168 (H,wt=32): 16534 T(x,K(y * z,y \ 1) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(240,a,14699,a(flip),b,16531,a(flip))]. given #15169 (H,wt=30): 16800 T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(240,a,16618,a(flip),b,16534,a(flip)),flip(a)]. given #15170 (H,wt=30): 16801 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,T(R(1 / z,z,y),z * y) * u). [hyper(15313,a,16800,a)]. given #15171 (H,wt=27): 16802 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ (1 * y)) * u). [para(492(a,1),16801(a,2,2,1))]. given #15172 (H,wt=25): 16803 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ y) * u). [para(11(a,1),16802(a,2,2,1,2))]. given #15173 (H,wt=23): 16804 T(x,K(y,z) * ((z / (y * z)) * u)) = T(x,((y * z) \ z) * u). [hyper(14645,a,16803,a)]. given #15174 (H,wt=19): 16805 T(x,(y / (y * z)) * u) = T(x,((z * y) \ y) * u). [hyper(240,a,16535,a(flip),b,16804,a(flip)),flip(a)]. given #15175 (H,wt=33): 16381 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(16370(a,1),10748(a,1,1,1))]. given #15176 (H,wt=29): 16806 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7574(a,1),16381(a,1,1))]. given #15177 (H,wt=27): 16808 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(7648(a,1),16806(a,2,2))]. given #15178 (H,wt=25): 16809 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(240,a,6991,a(flip),b,16808,a)]. given #15179 (H,wt=21): 16811 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(13603(a,1),16809(a,1,2))]. given #15180 (H,wt=33): 16482 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(15674(a,1),16471(a,1,1,1))]. given #15181 (H,wt=27): 16812 K((T(K(x,y) * z,T(z,u)) \ w) * v5,v6) = K(((K(x,y) * z) \ w) * v5,v6). [hyper(15270,a,16482,a),flip(a)]. given #15182 (H,wt=23): 16814 K(((K(x,y) * z) \ u) * w,v5) = K(((z * K(x,y)) \ u) * w,v5). [para(15331(a,1),16812(a,1,1,1,1)),flip(a)]. given #15183 (H,wt=25): 16816 K(((K(x,y) * (z * x)) \ u) * w,v5) = K(((z * T(x,y)) \ u) * w,v5). [para(5929(a,1),16814(a,2,1,1,1))]. given #15184 (H,wt=29): 16817 K(((K(x \ y,x) * (z * x)) \ u) * w,v5) = K(((z * (y / (y / x))) \ u) * w,v5). [para(10806(a,1),16814(a,2,1,1,1))]. given #15185 (H,wt=31): 16815 K(x * ((y * K(z,u)) \ w),T(v5,(y * K(z,u)) \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(240,a,10330,a,b,16814,a),flip(a)]. given #15186 (H,wt=33): 16505 K(x,a(y,z,u) \ w) * (w * x) = (a(y,z,u) * (a(y,z,u) \ w)) * T(x,a(y,z,u) \ w). [para(14(a,1),16237(a,1,2,1))]. given #15187 (H,wt=26): 16818 K(x,a(y,z,u) \ w) * (w * x) != v5 | w * T(x,a(y,z,u) \ w) = v5. [para(16505(a,2),541(a,1))]. given #15188 (H,wt=33): 16596 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(240,a,14576,a,b,16595,a(flip)),flip(a)]. given #15189 (H,wt=33): 16634 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(240,a,15620,a,b,16633,a(flip)),flip(a)]. given #15190 (H,wt=29): 16820 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(15271,a,16634,a)]. given #15191 (H,wt=33): 16661 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). [para(16643(a,1),13963(a,1,2))]. given #15192 (H,wt=22): 16821 ((K(x,y) * z) * u) \ (K(x,y) * (z * u)) = a(u,z,K(x,y)). [hyper(16204,a,16661,a),flip(a)]. given #15193 (H,wt=29): 16822 ((K(x,y) * z) * u) * a(u,z,K(x,y)) != w * v5 | w \ (K(x,y) * (z * u)) = v5. [para(16821(a,1),376(a,1,2))]. given #15194 (H,wt=20): 16823 (K(x,y) * z) \ (K(x,y) * (z * u)) = T(u,a(y,z,x)). [hyper(16822,a,13641,a)]. given #15195 (H,wt=13): 16824 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(449,a,16823,a)]. given #15196 (H,wt=15): 16827 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(240,a,13714,a,b,16824,a),flip(a)]. given #15197 (H,wt=13): 16844 L(x,y,K(z,y \ 1)) != u | u = x. [para(16827(a,1),10788(a,1))]. given #15198 (H,wt=13): 16848 L(x,y,K(y \ 1,z)) != u | u = x. [para(16827(a,1),13617(a,1))]. given #15199 (H,wt=13): 16852 R(x,y,K(z,y \ 1)) != u | u = x. [para(16642(a,2),16844(a,1))]. given #15200 (H,wt=15): 16828 a(x,y,K(z,u)) * x = L(x,y,K(z,u)). [hyper(240,a,13640,a,b,16824,a),flip(a)]. given #15201 (H,wt=15): 16829 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,13639,a,b,16824,a),flip(a)]. given #15202 (H,wt=15): 16831 L(x,y * z,K(y,u)) = T(x,a(u,z,y)). [hyper(240,a,13931,a(flip),b,16824,a)]. given #15203 (H,wt=15): 16833 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(73,a,16824,a,b,13639,a)]. given #15204 (H,wt=15): 16834 T(x,x * a(y,z,u)) = L(x,z,K(u,y)). [hyper(13344,a,16824,a(flip))]. given #15205 (H,wt=15): 16840 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(16294,a,16827,a)]. given #15206 (H,wt=15): 16841 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(16157,a,16827,a)]. given #15207 (H,wt=15): 16842 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(16120,a,16827,a)]. given #15208 (H,wt=15): 16843 T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). [hyper(240,a,13410,a,b,16827,a(flip)),flip(a)]. given #15209 (H,wt=15): 16846 T(L(x,y,K(z,u)),u) = T(x,L(u,y,z)). [para(16827(a,1),11766(a,1,1))]. given #15210 (H,wt=14): 16868 T(x,L(x \ 1,y,z)) = T(x,x \ 1). [para(12784(a,1),16846(a,1,1)),flip(a)]. given #15211 (H,wt=15): 16853 x * a(x,y,K(z,u)) = R(x,y,K(z,u)). [hyper(240,a,16642,a,b,16829,a)]. given #15212 (H,wt=15): 16856 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [hyper(240,a,16824,a,b,16831,a)]. given #15213 (H,wt=15): 16866 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(240,a,40,a,b,16846,a(flip)),flip(a)]. given #15214 (H,wt=14): 16874 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(16866(a,1),16095(a,1,2))]. given #15215 (H,wt=14): 16875 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(16866(a,1),16115(a,1,2))]. given #15216 (H,wt=16): 16825 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(16823(a,1),449(a,1))]. given #15217 (H,wt=16): 16839 K(L(x,y,K(z,u)) \ w,v5) = K(x \ w,v5). [para(16824(a,2),16397(a,1,1,1))]. given #15218 (H,wt=16): 16851 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(16827(a,1),16387(a,1,2,2))]. given #15219 (H,wt=16): 16861 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(16841(a,1),13493(a,1))]. given #15220 (H,wt=16): 16871 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [para(16856(a,1),6389(a,1,1))]. given #15221 (H,wt=17): 16826 T(x * K(y,x),L(y,z,u)) = L(x,z,K(u,y)). [hyper(240,a,13785,a,b,16824,a),flip(a)]. given #15222 (H,wt=17): 16845 L(x,y,K(z,u * x)) = x * a(z,y,K(u,x)). [para(11424(a,1),16827(a,1,2)),flip(a)]. given #15223 (H,wt=15): 16890 L(x,y,K(z,u * x)) = L(x,y,K(z,u)). [hyper(240,a,16827,a(flip),b,16845,a)]. given #15224 (H,wt=17): 16849 L(x,y * z,K(z,u)) = x * a(z,y,K(u,x)). [para(13770(a,1),16827(a,1,2)),flip(a)]. given #15225 (H,wt=15): 16893 L(x,y * z,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,16827,a(flip),b,16849,a)]. given #15226 (H,wt=16): 16894 L(R(x,y,z),y,K(z,u)) = R(x,y,T(z,u)). [hyper(16656,a,16893,a),flip(a)]. given #15227 (H,wt=17): 16850 L(x,y * z,K(u,y)) = x * a(u,z,K(y,x)). [para(13923(a,1),16827(a,1,2)),flip(a)]. given #15228 (H,wt=15): 16896 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(240,a,16827,a(flip),b,16850,a)]. given #15229 (H,wt=15): 16898 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [para(14(a,1),16896(a,1,2)),flip(a)]. given #15230 (H,wt=15): 16900 L(x,y \ z,K(u,y)) = T(x,a(y,z,u)). [hyper(240,a,16824,a(flip),b,16898,a)]. given #15231 (H,wt=15): 16901 T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). [hyper(16861,a,16900,a)]. given #15232 (H,wt=17): 16855 L(x,x \ y,K(z,u)) = x * a(x,y,K(z,u)). [para(13917(a,1),16829(a,1,2)),flip(a)]. given #15233 (H,wt=15): 16903 L(x,x \ y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,16829,a(flip),b,16855,a)]. given #15234 (H,wt=10): 16905 L(x,x \ y,K(z,y)) = x. [hyper(240,a,5386,a(flip),b,16903,a)]. given #15235 (H,wt=12): 16904 L(x,x \ T(y,z),K(u,y)) = x. [hyper(240,a,6489,a(flip),b,16903,a)]. given #15236 (H,wt=13): 16907 L(x,x \ y,K(y,z)) != u | u = x. [para(16903(a,2),3877(a,1))]. given #15237 (H,wt=15): 16913 L(x / y,y,K(x,z)) != u | x / y = u. [para(65(a,1),16907(a,1,2)),flip(b)]. given #15238 (H,wt=17): 16865 L(x \ y,z,K(u,x)) = T(y / x,L(x,z,u)). [hyper(799,a,16846,a)]. given #15239 (H,wt=17): 16867 L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). [para(16846(a,1),122(a,1,2)),flip(a)]. given #15240 (H,wt=17): 16876 K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. [para(16866(a,1),16122(a,1,2))]. given #15241 (H,wt=17): 16892 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u \ x)). [para(13684(a,1),16890(a,1,3)),flip(a)]. given #15242 (H,wt=17): 16906 L(x,T(y,x),K(z,u)) = L(x,y * x,K(z,u)). [para(32(a,2),16903(a,1,2))]. given #15243 (H,wt=15): 16917 L(x,y * x,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,10128,a(flip),b,16906,a(flip))]. given #15244 (H,wt=18): 16832 L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. [hyper(240,a,124,a(flip),b,16824,a)]. given #15245 (H,wt=18): 16835 a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z). [para(16824(a,2),122(a,1,2))]. given #15246 (H,wt=18): 16854 x \ L(x,y,K(z,u)) != w | a(x,y,K(z,u)) = w. [para(16829(a,1),241(a,1,2)),flip(b)]. given #15247 (H,wt=18): 16857 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(16833(a,1),224(a,1,2)),flip(b)]. given #15248 (H,wt=16): 16920 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(16853(a,1),16857(a,1))]. given #15249 (H,wt=18): 16859 L(x,y,K(z,u)) != w * x | a(u,y,K(x,z)) = w. [para(16841(a,1),20(a,1))]. given #15250 (H,wt=18): 16864 a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). [para(16843(a,1),13345(a,1,2))]. given #15251 (H,wt=13): 16923 x / a(y,z,x) = a(y,z,x) \ x. [para(7059(a,1),16864(a,1,2)),flip(a)]. given #15252 (H,wt=13): 16924 (a(x,y,z) \ z) * a(x,y,z) = z. [para(16923(a,1),16(a,1,1))]. given #15253 (H,wt=13): 16925 (a(x,y,z) \ z) \ z = a(x,y,z). [para(16923(a,1),65(a,1,1))]. given #15254 (H,wt=18): 16882 x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. [para(13714(a,2),16825(a,1))]. given #15255 (H,wt=18): 16886 L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. [para(16831(a,2),16825(a,1))]. given #15256 (H,wt=18): 16889 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(16866(a,1),16851(a,1,2,2))]. given #15257 (H,wt=18): 16897 L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(240,a,6561,a(flip),b,16896,a(flip))]. given #15258 (H,wt=18): 16918 x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. [para(13563(a,1),16857(a,1,2))]. given #15259 (H,wt=18): 16919 a(x,y,K(z,u)) * z != w | L(z,y,K(u,x)) = w. [para(16152(a,2),16857(a,1))]. given #15260 (H,wt=18): 16921 a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). [para(16864(a,1),14(a,1,2))]. given #15261 (H,wt=19): 16837 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(16824(a,2),14102(a,2,2))]. given #15262 (H,wt=19): 16847 (x \ y) * a(y,z,K(u,x)) = L(x \ y,z,K(u,x)). [para(13610(a,1),16827(a,1,2))]. given #15263 (H,wt=17): 16936 L(x \ y,z,K(u,x)) = x \ L(y,z,K(u,x)). [hyper(240,a,16837,a(flip),b,16847,a(flip))]. given #15264 (H,wt=19): 16860 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [para(16841(a,1),13160(a,1,1)),flip(a)]. given #15265 (H,wt=19): 16863 a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). [para(16841(a,1),16605(a,2,2))]. given #15266 (H,wt=19): 16873 L(a(x,y,z),u,K(w,y)) = T(a(x,y,z),L(y,u,w)). [para(13537(a,1),16866(a,1,1))]. given #15267 (H,wt=17): 16942 L(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. [para(16873(a,2),13556(a,1))]. given #15268 (H,wt=19): 16880 K(x,T(y,(z / u) / w)) = K(x,T(y,z / (w * u))). [para(14439(a,1),16874(a,1,2)),flip(a)]. given #15269 (H,wt=19): 16881 T(x,T(y,(z * u) \ w)) = T(x,T(y,u \ (z \ w))). [para(235(a,1),16875(a,1,2,2))]. given #15270 (H,wt=19): 16887 K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [para(16651(a,1),16839(a,1,1)),flip(a)]. given #15271 (H,wt=19): 16911 (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). [para(16904(a,1),10133(a,1,2))]. given #15272 (H,wt=19): 16912 x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). [para(16904(a,1),16662(a,1,1))]. given #15273 (H,wt=19): 16933 (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). [hyper(16295,a,16837,a)]. given #15274 (H,wt=19): 16934 (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). [hyper(16294,a,16837,a)]. given #15275 (H,wt=19): 16935 a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). [hyper(16157,a,16837,a)]. given #15276 (H,wt=19): 16937 x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). [para(32(a,2),16936(a,1,1)),flip(a)]. given #15277 (H,wt=17): 16952 x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). [hyper(240,a,16866,a(flip),b,16937,a)]. given #15278 (H,wt=17): 16953 L(x * y,z,K(u,y)) = y * T(x,L(y,z,u)). [para(16952(a,1),14(a,1,2)),flip(a)]. given #15279 (H,wt=19): 16938 a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * w. [hyper(13852,a,16860,a)]. given #15280 (H,wt=15): 16954 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [hyper(16186,a,16938,a)]. given #15281 (H,wt=19): 16941 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(13563(a,1),16863(a,1,1))]. given #15282 (H,wt=19): 16943 K(x,T(y,z / (u * w))) = K(x,T(y,u \ (z / w))). [hyper(15107,a,16880,a),flip(a)]. given #15283 (H,wt=19): 16944 K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). [hyper(240,a,14915,a,b,16887,a)]. given #15284 (H,wt=19): 16945 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(240,a,15246,a,b,16887,a(flip)),flip(a)]. given #15285 (H,wt=19): 16958 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(240,a,15246,a,b,16944,a(flip)),flip(a)]. given #15286 (H,wt=19): 16960 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(16144,a,16945,a)]. given #15287 (H,wt=19): 16961 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(240,a,16345,a,b,16945,a(flip)),flip(a)]. given #15288 (H,wt=19): 16965 K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). [hyper(240,a,15065,a,b,16960,a)]. given #15289 (H,wt=19): 16968 K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). [hyper(240,a,15065,a,b,16961,a)]. given #15290 (H,wt=20): 16883 T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(13785(a,2),16825(a,1))]. given #15291 (H,wt=20): 16902 T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). [hyper(240,a,13967,a(flip),b,16901,a(flip)),flip(a)]. given #15292 (H,wt=13): 16979 T(x,y \ (((z * y) \ z) \ 1)) = x. [hyper(240,a,13646,a(flip),b,16902,a)]. given #15293 (H,wt=13): 16982 T(x,(y \ z) \ ((z \ y) \ 1)) = x. [para(14(a,1),16979(a,1,2,2,1,1))]. given #15294 (H,wt=20): 16908 (K(x,y) * z) / L(u,z,K(x,y)) = K(x,y) * (z / u). [para(16903(a,1),10133(a,1,2))]. given #15295 (H,wt=20): 16930 L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(z \ u,z)). [hyper(240,a,13009,a(flip),b,16897,a(flip)),flip(a)]. given #15296 (H,wt=20): 16932 K(x / a(y,z,u),a(y,z,u)) = L(x,z,K(y,u)) \ x. [para(16921(a,1),102(a,1,1)),flip(a)]. given #15297 (H,wt=18): 16987 K(x / a(y,z,u),a(y,z,u)) = a(u,z,K(y,x)). [hyper(240,a,16954,a(flip),b,16932,a)]. given #15298 (H,wt=18): 16988 K(a(x,y,z) \ u,a(x,y,z)) = a(z,y,K(x,u)). [hyper(16236,a,16987,a)]. given #15299 (H,wt=15): 16989 K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). [hyper(13351,a,16988,a)]. given #15300 (H,wt=21): 16836 L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. [para(16824(a,2),387(a,1))]. given #15301 (H,wt=21): 16862 a(R(x,y,z),u,K(w,v5)) * w = L(w,u,K(v5,L(x,y,z))). [para(14442(a,1),16841(a,2,3))]. given #15302 (H,wt=19): 16994 a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). [hyper(18,a,16841,a,b,16862,a)]. given #15303 (H,wt=21): 16946 K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). [para(5929(a,1),16887(a,1,1,2)),flip(a)]. given #15304 (H,wt=21): 16948 x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). [para(13(a,1),16933(a,1,1)),flip(a)]. given #15305 (H,wt=21): 16956 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(310,a,16941,a)]. given #15306 (H,wt=21): 16962 K(K(x,y) * (z \ (x * u)),w) = K(z \ (T(x,y) * u),w). [para(4815(a,1),16958(a,1,1,2)),flip(a)]. given #15307 (H,wt=21): 16964 K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). [hyper(14206,a,16960,a),flip(a)]. given #15308 (H,wt=21): 16970 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(5929(a,1),16961(a,1,1,1)),flip(a)]. given #15309 (H,wt=21): 16972 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(13577(a,1),16961(a,1,1,1)),flip(a)]. given #15310 (H,wt=19): 17002 K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). [hyper(240,a,16964,a(flip),b,16972,a(flip))]. given #15311 (H,wt=19): 17003 K((x \ K(y,z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(240,a,16455,a(flip),b,17002,a)]. given #15312 (H,wt=21): 16974 K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). [para(4815(a,1),16965(a,1,1,1)),flip(a)]. given #15313 (H,wt=17): 17004 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [para(9603(a,1),16974(a,1,1)),flip(a)]. given #15314 (H,wt=21): 16975 K(K(x,y) * ((x / z) \ u),w) = K((T(x,y) / z) \ u,w). [para(13510(a,1),16965(a,1,1,1)),flip(a)]. given #15315 (H,wt=21): 16995 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(15168,a,16946,a)]. given #15316 (H,wt=21): 16996 K((x \ (y * z)) * K(u,z),w) = K(x \ (y * T(z,u)),w). [hyper(14615,a,16946,a)]. given #15317 (H,wt=21): 16998 x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). [para(16948(a,1),14(a,1,2))]. given #15318 (H,wt=21): 16999 a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). [para(11325(a,1),16956(a,1,1))]. given #15319 (H,wt=21): 17000 K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). [hyper(14933,a,16970,a)]. given #15320 (H,wt=21): 17001 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(14615,a,16970,a)]. given #15321 (H,wt=21): 17009 x * L(x \ y,y,K(z,u)) = y * a(u,x,K(x \ y,z)). [hyper(16181,a,16999,a),flip(a)]. given #15322 (H,wt=22): 16916 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. [para(235(a,1),16876(a,1,2,2))]. given #15323 (H,wt=22): 16927 (x \ 1) * a(x,y,K(z,u)) != w | L(x \ 1,y,K(u,z)) = w. [para(13604(a,1),16882(a,1,2))]. given #15324 (H,wt=22): 16949 (x / y) \ L(x,z,K(u,w)) != v5 | y * a(u,z,K(w,x)) = v5. [para(16934(a,1),585(a,1))]. given #15325 (H,wt=22): 16950 x \ L(y,z,K(u,w)) != a(u,z,K(w,y)) * v5 | x \ y = v5. [para(16935(a,1),19(a,1))]. given #15326 (H,wt=22): 16957 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,(z * w) \ u)) = v5. [para(16943(a,1),15107(a,1))]. given #15327 (H,wt=19): 17012 K(x,T(y,(z * u) \ w)) = K(x,T(y,z * (w \ u))). [hyper(16957,a,16739,a)]. given #15328 (H,wt=19): 17013 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(240,a,16738,a,b,17012,a)]. given #15329 (H,wt=22): 16963 K(x \ (K(y,z) * u),T(y,w)) != v5 | K(x \ u,T(y,w)) = v5. [para(16958(a,2),8069(a,1))]. given #15330 (H,wt=22): 16966 K((K(x,L(y,z,u)) * w) \ v5,v6) = K(K(y,x) * (w \ v5),v6). [hyper(240,a,16465,a(flip),b,16960,a)]. given #15331 (H,wt=22): 16976 K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. [para(16965(a,2),15069(a,1))]. given #15332 (H,wt=22): 16977 K((x * K(y,z)) \ u,T(y,w)) != v5 | K(x \ u,T(y,w)) = v5. [para(16968(a,2),8069(a,1))]. given #15333 (H,wt=22): 16986 (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). [para(4774(a,1),16908(a,1,1))]. given #15334 (H,wt=15): 17017 K(x,y) * ((y * x) / z) = (x * y) / z. [para(10190(a,1),16986(a,1,2)),flip(a)]. given #15335 (H,wt=22): 17015 K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(17013(a,1),8085(a,1))]. given #15336 (H,wt=22): 17021 K(x,T(y,(z \ u) \ w)) != v5 | K(x,T(y,u \ (w * z))) = v5. [para(8035(a,1),17015(a,1))]. given #15337 (H,wt=23): 16872 T(x,L(y \ R(y,z,u),w,y)) = L(T(x,y \ R(y,z,u)),w,1). [para(3663(a,1),16866(a,1,3)),flip(a)]. given #15338 (H,wt=23): 16884 T(x,L(y \ R(y,z,u),y,z * u)) != w | L(x,z,K(u,y)) = w. [para(14526(a,1),16825(a,1,2))]. given #15339 (H,wt=23): 16891 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u * L(x,y,z))). [hyper(6388,a,16890,a),flip(a)]. given #15340 (H,wt=18): 17024 L(x,y,T(z,u * L(x,y,z))) = L(x,y,T(z,u)). [hyper(6388,a,16891,a),flip(a)]. given #15341 (H,wt=23): 16929 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(454(a,1),16889(a,1,2,2,2)),flip(a)]. given #15342 (H,wt=23): 16971 K((x * ((y * z) / y)) \ u,w) = K(((x * z) \ u) * K(z,y),w). [para(10807(a,1),16961(a,1,1,1))]. given #15343 (H,wt=21): 17026 K((x * ((y * z) / y)) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(240,a,17001,a(flip),b,16971,a)]. given #15344 (H,wt=19): 17027 K((x * T(T(y,z),z)) \ u,w) = K((x * y) \ u,w). [para(177(a,1),17026(a,1,1,1,2)),flip(a)]. given #15345 (H,wt=23): 16980 (x \ (((y * x) \ y) \ 1)) * z = z * (x \ (((y * x) \ y) \ 1)). [hyper(2125,a,16979,a),flip(a)]. given #15346 (H,wt=23): 16983 (x \ (1 / ((y * x) \ y))) * z = z * (x \ (1 / ((y * x) \ y))). [para(16979(a,1),4458(a,1,2))]. given #15347 (H,wt=23): 16985 (x \ (((y \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. [para(16982(a,1),13968(a,1,2))]. given #15348 (H,wt=23): 17008 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),z)). [para(10330(a,1),16998(a,1,2,2,3))]. given #15349 (H,wt=23): 17016 K(((K(x,y) * z) * u) \ w,v5) = K(K(y,x) * ((z * u) \ w),v5). [para(14459(a,1),16966(a,1,1,1))]. given #15350 (H,wt=23): 17019 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * ((w * K(z,u)) / v5)). [para(17017(a,1),15286(a,1,2,2)),flip(a)]. given #15351 (H,wt=23): 17023 T(x,L(y \ R(y,z,u),w,y)) != v5 | T(x,y \ R(y,z,u)) = v5. [para(16872(a,2),327(a,1)),flip(b)]. given #15352 (H,wt=23): 17029 x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ x. [hyper(295,a,16983,a)]. given #15353 (H,wt=23): 17031 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). [para(7142(a,1),17008(a,2,3))]. given #15354 (H,wt=23): 17033 K(((K(x,y) * z) * u) \ w,v5) = K(K(x,y) * ((z * u) \ w),v5). [hyper(240,a,15095,a,b,17016,a)]. given #15355 (H,wt=24): 16830 T(x * (a(y,z,u) \ 1),x) = L(x * (a(y,z,u) \ 1),z,K(u,y)). [hyper(240,a,14565,a(flip),b,16824,a),flip(a)]. given #15356 (H,wt=24): 16909 L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(16903(a,1),16655(a,1,1))]. given #15357 (H,wt=17): 17035 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(10196(a,1),16909(a,1,1)),flip(a)]. given #15358 (H,wt=19): 17036 T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ u)). [para(17035(a,1),15048(a,1,2))]. given #15359 (H,wt=17): 17039 T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)). [hyper(240,a,15049,a(flip),b,17036,a)]. given #15360 (H,wt=23): 17037 K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). [para(17035(a,1),16496(a,1,2,2))]. given #15361 (H,wt=21): 17040 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [para(14083(a,1),17037(a,2,2,2))]. given #15362 (H,wt=17): 17041 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(13(a,1),17040(a,1,2,2)),flip(a)]. given #15363 (H,wt=21): 17042 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(15(a,1),17040(a,1,2,2,2,2)),flip(a)]. given #15364 (H,wt=23): 17043 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ (w * u))). [hyper(240,a,12917,a,b,17042,a(flip)),flip(a)]. given #15365 (H,wt=24): 16928 K(x,y * T((z \ 1) * u,u)) = K(x,y * (L(u,z \ 1,z) / z)). [hyper(240,a,16454,a(flip),b,16889,a(flip))]. given #15366 (H,wt=22): 17044 K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). [hyper(15374,a,16928,a),flip(a)]. given #15367 (H,wt=23): 17046 K(x,y * ((z \ 1) * (z * u))) = K(x,y * ((u * z) * (z \ 1))). [para(2137(a,1),17044(a,1,2,2))]. given #15368 (H,wt=22): 17047 K(x,y * ((z \ 1) * (z * u))) = K(x,y * R(u,z,z \ 1)). [para(203(a,1),17046(a,2,2,2))]. given #15369 (H,wt=21): 17048 K(x,y * R(z,u,u \ 1)) = K(x,y * L(z,u,u \ 1)). [hyper(240,a,5519,a(flip),b,17047,a(flip))]. given #15370 (H,wt=23): 17049 K(x,(y \ 1) * L(z,u,u \ 1)) = K(x,y \ R(z,u,u \ 1)). [hyper(13865,a,17048,a),flip(a)]. given #15371 (H,wt=24): 16959 K(K(x,y) * (z \ u),T(w,u)) != v5 | K((u * K(x,y)) / z,w) = v5. [para(16944(a,1),15450(a,1))]. given #15372 (H,wt=24): 16967 K(((x \ 1) \ y) * K(z,u),w) != v5 | K((x * K(z,u)) * y,w) = v5. [para(16960(a,1),14206(a,1))]. given #15373 (H,wt=24): 17020 K(x,(y * a(z,u,w)) / v5) != v6 | K(x,(a(z,u,w) * y) / v5) = v6. [para(17017(a,1),16401(a,1,2))]. given #15374 (H,wt=24): 17025 L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). [para(6086(a,1),17024(a,2,3))]. given #15375 (H,wt=22): 17052 L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). [para(13786(a,1),17025(a,1,3))]. given #15376 (H,wt=24): 17051 K(x,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. [para(17049(a,1),13865(a,1))]. given #15377 (H,wt=25): 16870 L(x \ 1,y,z) * (T(x,x \ 1) * u) = L(1 / x,y,z) * (x * u). [para(16868(a,1),5567(a,1,2,1))]. given #15378 (H,wt=25): 16888 K(x,y * ((z * K(u,T(w,v5))) / v5)) = K(x,y * (z / (K(w,u) * v5))). [para(16676(a,1),16851(a,1,2,2))]. given #15379 (H,wt=25): 16899 L(x,(y * z) * u,K(w,R(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). [para(118(a,1),16896(a,1,2))]. given #15380 (H,wt=25): 16914 L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(16865(a,2),231(a,1,2))]. given #15381 (H,wt=25): 16922 a(x,y,z) * (u / a(x,y,z)) != w * v5 | w \ L(u,y,K(x,z)) = v5. [para(16864(a,1),376(a,1,2))]. given #15382 (H,wt=25): 16931 (x / a(y,z,u)) \ L(x,z,K(y,u)) = T(a(y,z,u),a(y,z,u) \ x). [hyper(73,a,16921,a(flip),b,3946,a)]. given #15383 (H,wt=25): 16947 K((x \ (y * (z \ u))) * K(z,z \ u),w) = K(x \ (y * (u / z)),w). [para(7092(a,1),16887(a,1,1,2)),flip(a)]. given #15384 (H,wt=21): 17054 K(x \ (y * T(z \ u,z)),w) = K(x \ (y * (u / z)),w). [hyper(240,a,16996,a(flip),b,16947,a(flip)),flip(a)]. given #15385 (H,wt=21): 17056 K(x \ (y * ((z * u) / z)),w) = K(x \ (y * T(u,z)),w). [para(13(a,1),17054(a,1,1,2,2,1)),flip(a)]. given #15386 (H,wt=19): 17057 K(x \ (y * T(T(z,u),u)),w) = K(x \ (y * z),w). [para(177(a,1),17056(a,1,1,2,2)),flip(a)]. given #15387 (H,wt=22): 17055 K(x \ (y * (1 / z)),u) != w | K(x \ (y * (z \ 1)),u) = w. [para(16947(a,1),5260(a,1))]. given #15388 (H,wt=25): 16978 K(K(x,x \ y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). [para(10105(a,1),16968(a,1,1,1)),flip(a)]. given #15389 (H,wt=23): 17058 K((x * (y * (z / y))) \ u,w) = K(K(y,z) * ((x * z) \ u),w). [hyper(12733,a,16978,a),flip(a)]. given #15390 (H,wt=21): 17059 K((x * (y * (z / y))) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(240,a,17000,a(flip),b,17058,a)]. given #15391 (H,wt=25): 17010 x * L(x \ y,y,K(x \ z,u)) = y * a(u,z,K(z \ x,x \ y)). [para(11438(a,2),17009(a,2,2))]. given #15392 (H,wt=25): 17022 K(L(x,y,z),T(u,w \ (v5 * v6))) = K(x,L(T(u,(v6 \ w) \ v5),y,z)). [hyper(17021,a,11309,a)]. given #15393 (H,wt=25): 17028 K(x,(y * ((z * u) / z)) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(17026(a,1),5184(a,1,2,1)),flip(a)]. given #15394 (H,wt=24): 17064 K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. [para(17028(a,2),5194(a,1))]. given #15395 (H,wt=25): 17032 K(K(x,y) * (((z * y) * u) \ w),v5) = K(((z * T(y,x)) * u) \ w,v5). [hyper(16357,a,17016,a),flip(a)]. given #15396 (H,wt=25): 17038 K(x,(y \ z) * (u \ K(w,w \ z))) = K(x,(y \ (w * (z / w))) / u). [para(17035(a,1),16582(a,1,2,1)),flip(a)]. given #15397 (H,wt=25): 17053 L(x,(y * z) * u,K(w,L(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). [para(14442(a,1),16899(a,1,3))]. given #15398 (H,wt=25): 17060 K(x,(y * (z * (u / z))) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(17059(a,1),5184(a,1,2,1)),flip(a)]. given #15399 (H,wt=21): 17066 K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). [hyper(240,a,16328,a(flip),b,17060,a)]. given #15400 (H,wt=25): 17062 x * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). [para(13606(a,2),17010(a,2,2))]. given #15401 (H,wt=25): 17063 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u \ (w * z)),v5,v6)). [hyper(11312,a,17022,a),flip(a)]. given #15402 (H,wt=25): 17065 K(K(x,y) * ((((z / T(y,x)) * y) * u) \ w),v5) = K((z * u) \ w,v5). [para(16(a,1),17032(a,2,1,1,1))]. given #15403 (H,wt=23): 17069 K(K(x,y) * (((z * K(x,y)) * u) \ w),v5) = K((z * u) \ w,v5). [para(7179(a,1),17065(a,1,1,2,1,1))]. given #15404 (H,wt=23): 17070 K(K(x,y) * (((z * K(y,x)) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(15151,a,17069,a)]. given #15405 (H,wt=26): 16910 L(x,y \ z,K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(16903(a,1),16663(a,1,1))]. given #15406 (H,wt=19): 17071 x \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(13007(a,1),16910(a,1,1))]. given #15407 (H,wt=25): 17072 T(x,(1 / y) * (K(z,u) * (z \ u))) = T(x,(y \ (z \ u)) * K(z,u)). [para(17071(a,1),13791(a,2,2))]. given #15408 (H,wt=23): 17073 T(x,(y \ (z \ u)) * K(z,u)) = T(x,(1 / y) * (T(z,u) \ u)). [hyper(240,a,16512,a(flip),b,17072,a(flip))]. given #15409 (H,wt=21): 17074 T(x,(y \ (z \ u)) * K(z,u)) = T(x,y \ (T(z,u) \ u)). [hyper(240,a,13791,a(flip),b,17073,a)]. given #15410 (H,wt=21): 17075 T(x,(y \ (z \ u)) * K(u,z)) = T(x,y \ (T(z,u) \ u)). [hyper(15166,a,17074,a)]. given #15411 (H,wt=26): 16973 K(((1 / x) \ y) * K(z,u),w) != v5 | K(((x \ 1) * K(u,z)) \ y,w) = v5. [para(16961(a,1),15113(a,1))]. given #15412 (H,wt=26): 16991 x * (a(y,z,K(u,x)) * (a(u,z,y) \ 1)) = T(x * (a(u,z,y) \ 1),x). [para(16989(a,1),8475(a,1,2,1))]. given #15413 (H,wt=26): 17030 ((x \ y) * (y \ x)) \ z != u * z | z \ (((x \ y) * (y \ x)) \ z) = u. [para(16985(a,1),20(a,1))]. given #15414 (H,wt=27): 16885 T(x * (a(y,z,u) \ 1),x) != w | L(x * (a(y,z,u) \ 1),z,K(u,y)) = w. [para(14565(a,1),16825(a,1))]. given #15415 (H,wt=27): 16955 L(x,y,K(z,u)) \ L(x,w,K(v5,v6)) = a(u,y,K(z,x)) * a(x,w,K(v5,v6)). [para(16954(a,1),16837(a,1,1)),flip(a)]. given #15416 (H,wt=27): 17006 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),16975(a,2,1,1,1))]. given #15417 (H,wt=27): 17077 K(K(x,T(y,z)) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [para(7142(a,1),17006(a,1,1,1))]. given #15418 (H,wt=25): 17078 K(K(x,y) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [hyper(15274,a,17077,a)]. given #15419 (H,wt=27): 17079 K(K(x,y) * ((T(x,z) / u) \ w),T(v5,w)) = K(w / (T(T(x,y),z) / u),v5). [hyper(240,a,7608,a(flip),b,17078,a)]. given #15420 (H,wt=28): 16858 (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = T(a(x,y,z),L(u,z,x * y)). [para(16840(a,1),13536(a,1,2,2))]. given #15421 (H,wt=28): 16926 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ ((a(x,y,z) \ z) * u). [para(16924(a,1),108(a,2,1))]. given #15422 (H,wt=28): 17014 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,w * (z \ u))) * v5). [para(17012(a,1),15077(a,2,2,1))]. given #15423 (H,wt=22): 17081 T(x,T(y,L((z / u) / w,w,u))) = T(x,T(y,w * (z \ u))). [hyper(240,a,7171,a(flip),b,17014,a)]. given #15424 (H,wt=19): 17082 T(x,T(y,z / (u * w))) = T(x,T(y,u * (z \ w))). [para(14439(a,1),17081(a,1,2))]. given #15425 (H,wt=19): 17083 T(x,T(y,(z * u) \ w)) = T(x,T(y,z * (w \ u))). [hyper(15110,a,17082,a)]. given #15426 (H,wt=19): 17084 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (w \ u))). [hyper(14815,a,17083,a)]. given #15427 (H,wt=19): 17085 T(x,T(y,z \ (u \ w))) = T(x,T(y,u * (w \ z))). [hyper(240,a,16881,a(flip),b,17083,a(flip)),flip(a)]. given #15428 (H,wt=19): 17086 T(x,T(y,(z \ u) \ w)) = T(x,T(y,z * (u \ w))). [hyper(8082,a,17085,a)]. given #15429 (H,wt=22): 17087 T(x,T(y,z * (u \ w))) != v5 | T(x,T(y,(z \ u) * w)) = v5. [para(17086(a,1),14815(a,1))]. given #15430 (H,wt=28): 17034 K(K(x,y) * (((z * x) * u) \ w),v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. [para(17033(a,1),16357(a,1))]. given #15431 (H,wt=28): 17076 K(K(x,y) * ((1 / z) \ u),w) != v5 | K(((z \ 1) * K(y,y \ x)) \ u,w) = v5. [para(15133(a,1),16973(a,1))]. given #15432 (H,wt=29): 17005 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(17004(a,1),6889(a,1,2))]. given #15433 (H,wt=27): 17088 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(14621(a,1),17005(a,1,1))]. given #15434 (H,wt=21): 17089 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(6912,a,17088,a),flip(a)]. given #15435 (H,wt=21): 17090 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(10309,a,17089,a),flip(a)]. given #15436 (H,wt=17): 17091 T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). [hyper(9143,a,17090,a),flip(a)]. given #15437 (H,wt=30): 16915 (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(16867(a,1),10163(a,1,2,1))]. given #15438 (H,wt=25): 17092 (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). [para(9879(a,1),16915(a,1,1,1))]. given #15439 (H,wt=25): 17095 (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). [para(16953(a,2),17092(a,1,2,1))]. given #15440 (H,wt=30): 16939 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(73,a,7179,a(flip),b,16863,a)]. given #15441 (H,wt=25): 17096 a(x,y,K(z,u)) \ (w * K(v5,z)) = (w / T(L(z,y,K(u,x)),v5)) * z. [para(16095(a,1),16939(a,1,2,2))]. given #15442 (H,wt=25): 17097 (x / T(L(y,z,K(u,w)),v5)) * y = a(y,z,K(w,u)) * (x * K(v5,y)). [hyper(13962,a,17096,a),flip(a)]. given #15443 (H,wt=25): 17099 (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). [para(40(a,2),17097(a,1,1,2))]. given #15444 (H,wt=30): 16984 x * ((y \ 1) / ((y * ((z * y) \ z)) * (y \ 1))) = (y \ (L(1 / y,y,z) \ 1)) * x. [para(16979(a,1),14366(a,1,2)),flip(a)]. given #15445 (H,wt=25): 17100 (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / L(x \ 1,x,y)). [para(1627(a,1),16984(a,1,2,2)),flip(a)]. given #15446 (H,wt=25): 17101 (x \ (L(1 / x,x,y) \ 1)) * z = z * (L(x \ 1,x,y) \ (x \ 1)). [para(6697(a,1),17100(a,2,2))]. given #15447 (H,wt=25): 17102 (x \ (L(1 / x,x,y) \ 1)) * z = z * (x \ (L(1 / x,x,y) \ 1)). [para(6717(a,1),17101(a,2,2))]. given #15448 (H,wt=23): 17103 T(x \ (L(1 / x,x,y) \ 1),z) = x \ (L(1 / x,x,y) \ 1). [hyper(182,a,17102,a,b,xx)]. given #15449 (H,wt=23): 17105 T(L(x \ 1,x,y) \ (x \ 1),z) = x \ (L(1 / x,x,y) \ 1). [para(6717(a,2),17103(a,1,1))]. given #15450 (H,wt=30): 16993 L(x / a(a(y,z,u),w,v5),v5,K(w,a(y,z,u))) != v6 | a(a(y,z,u),v5,w) \ x = v6. [para(47(a,1),16836(a,1,1,2))]. given #15451 (H,wt=30): 17067 K(x,(y * (z * K(u \ 1,u * z))) \ w) = K(x,(y * T(z,L(u \ 1,u,z))) \ w). [para(10481(a,1),17066(a,1,2,1,2))]. given #15452 (H,wt=30): 17104 x * (y \ (L(1 / y,y,z) \ 1)) != x * u | T(y \ (L(1 / y,y,z) \ 1),x) = u. [para(17102(a,1),183(a,2)),flip(a)]. given #15453 (H,wt=31): 16990 (x / a(y,z,u)) \ (w * (a(y,z,u) \ x)) = T(a(u,z,K(y,x)) * w,a(y,z,u) \ x). [para(16988(a,1),6871(a,1,1,1)),flip(a)]. given #15454 (H,wt=31): 16997 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * T(y * T(z,v5),x)),v6). [hyper(240,a,15694,a(flip),b,16946,a(flip)),flip(a)]. given #15455 (H,wt=32): 16951 a(x,y,K(z,L(u,w,K(v5,v6)))) * a(u,w,K(v5,v6)) = u \ L(L(u,w,K(v5,v6)),y,K(x,z)). [para(16833(a,1),16935(a,1,2))]. given #15456 (H,wt=27): 17106 x \ L(L(x,y,K(z,u)),w,K(v5,v6)) = a(v5,w,K(v6,x)) * a(x,y,K(z,u)). [para(16095(a,1),16951(a,1,1,3)),flip(a)]. given #15457 (H,wt=30): 17107 x \ L(L(x,y,K(z,u)),w,K(v5,v6)) != v7 * a(x,y,K(z,u)) | a(v5,w,K(v6,x)) = v7. [para(17106(a,2),20(a,1))]. given #15458 (H,wt=32): 17050 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(73,a,17048,a(flip),b,10393,a)]. given #15459 (H,wt=27): 17109 K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [para(13590(a,1),17050(a,1,1,2))]. given #15460 (H,wt=27): 17110 K(x,K(y,z)) * K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [hyper(7540,a,17109,a)]. given #15461 (H,wt=21): 17112 K(x,R(y,z,z \ 1) * u) = K(x,L(y,z,z \ 1) * u). [hyper(240,a,16023,a(flip),b,17110,a(flip))]. given #15462 (H,wt=23): 17113 K(x,L(y,z,z \ 1) * (u \ 1)) = K(x,R(y,z,z \ 1) / u). [hyper(13799,a,17112,a),flip(a)]. given #15463 (H,wt=24): 17114 K(x,R(y,z,z \ 1) / u) != w | K(x,L(y,z,z \ 1) / u) = w. [para(17113(a,1),13799(a,1))]. given #15464 (H,wt=32): 17068 x * L(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). [para(11253(a,2),17062(a,2,2,3))]. given #15465 (H,wt=33): 16712 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(14459(a,1),16707(a,2,2,2))]. given #15466 (H,wt=30): 17115 K(x,y * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(16366(a,1),16712(a,1,2,2,1))]. given #15467 (H,wt=30): 17116 K(x,y * T((z * u) * K(w,L(v5,z,u)),K(w,v5))) = K(x,y * ((K(w,v5) * z) * u)). [para(9894(a,2),17115(a,1,2,2))]. given #15468 (H,wt=29): 17118 K(x,y * T(z * (T(u,z) * K(w,v5)),K(w,v5))) = K(x,y * ((K(w,v5) * u) * z)). [para(11276(a,1),17116(a,1,2,2,1))]. given #15469 (H,wt=25): 17119 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * ((K(w,v5) * u) * z)). [hyper(15256,a,17118,a)]. given #15470 (H,wt=33): 16819 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),16596(a,1,2,1,2))]. given #15471 (H,wt=33): 17018 K((x * y) \ x,x * y) * (((x * y) * ((x * y) \ x)) / z) = (x * K(y \ 1,x * y)) / z. [para(5043(a,1),17017(a,2,1))]. given #15472 (H,wt=31): 17121 K(x \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / z. [para(6018(a,1),17018(a,1,1))]. given #15473 (H,wt=23): 17122 (x * K(y \ 1,x * y)) / z = K(y \ 1,x * y) * (x / z). [para(14(a,1),17121(a,1,2,1)),flip(a)]. given #15474 (H,wt=21): 17124 K(x,K(y \ 1,z * y) * (z / u)) = K(x,T(z,y) / u). [para(17122(a,1),15390(a,1,2))]. given #15475 (H,wt=19): 17125 K(x,(y / z) * K(u,y * u)) = K(x,T(y,u) / z). [hyper(15148,a,17124,a)]. given #15476 (H,wt=33): 17120 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(7560(a,1),16819(a,1,2))]. given #15477 (H,wt=27): 17126 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(15335(a,1),17120(a,1,2))]. given #15478 (H,wt=27): 17127 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(240,a,8695,a(flip),b,17126,a(flip)),flip(a)]. given #15479 (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(15578(a,2),17127(a,1,2))]. given #15480 (H,wt=27): 17129 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(10337(a,1),17128(a,1,2,1))]. given #15481 (H,wt=25): 17130 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13660(a,1),17129(a,1,2))]. given #15482 (H,wt=25): 17131 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5183(a,1),17130(a,1,2))]. given #15483 (H,wt=21): 17132 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8240,a,17131,a)]. given #15484 (H,wt=21): 17133 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(240,a,16798,a(flip),b,17132,a(flip)),flip(a)]. given #15485 (H,wt=21): 17134 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5191,a,17133,a),flip(a)]. given #15486 (H,wt=24): 17137 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(17134(a,2),14015(a,2,2)),flip(a)]. given #15487 (H,wt=15): 17138 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(13932,a,17137,a)]. given #15488 (H,wt=29): 17135 K(x,y) \ T(z * K(x,T(y,u \ w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [hyper(73,a,13786,a,b,17134,a(flip))]. given #15489 (H,wt=29): 17139 K(x,y) \ T(z * K(x,T(y,u * w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [para(14806(a,1),17135(a,1,2,1,2))]. given #15490 (H,wt=27): 17140 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,(u \ w) * K(x,y)). [para(13786(a,1),17139(a,1,2))]. given #15491 (H,wt=31): 17136 K(x,y) \ T(z * K(x,T(y,(u \ w) \ 1)),w \ u) = T(z,((u \ w) \ 1) * K(x,y)). [hyper(73,a,6086,a(flip),b,17134,a(flip))]. given #15492 (H,wt=29): 17141 K(x,y) \ T(z * K(x,T(y,u \ w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(6086(a,1),17136(a,1,2,1,2,2))]. given #15493 (H,wt=29): 17142 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(14806(a,1),17141(a,1,2,1,2))]. given #15494 (H,wt=21): 17143 T(x,((y \ z) \ 1) * K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(240,a,17140,a(flip),b,17142,a(flip))]. given #15495 (H,wt=19): 17144 T(x,(y \ z) \ K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(13789,a,17143,a)]. given #15496 (H,wt=34): 16513 ((x * (y * (K(z,K(u,w)) * v5))) \ ((x * y) * v5)) * K(z,K(u,w)) = a(x,y,K(z,K(u,w)) * v5). [hyper(669,a,16265,a),flip(a)]. given #15497 (H,wt=34): 16713 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(16707(a,1),15626(a,1,1,2))]. given #15498 (H,wt=34): 16741 (x * (x \ y)) \ (K(z,L(u,w,y)) * (w * y)) = T(w,y) * K(z,T(u,((v5 \ y) * v5) * T(w,y))) # label(flip_matches_hint). [hyper(240,a,304,a,b,16734,a),flip(a)]. given #15499 (H,wt=34): 16838 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(16824(a,1),15362(a,1,1,2,2))]. given #15500 (H,wt=25): 17147 K(x * ((K(y,T(z,u)) * w) / v5),v6) = K(x * (K(y,z) * (w / v5)),v6). [hyper(240,a,16415,a(flip),b,16838,a(flip)),flip(a)]. given #15501 (H,wt=23): 17149 K(x * ((K(y,z) * u) / w),v5) = K(x * (K(y,z) * (u / w)),v5). [para(121(a,1),17147(a,1,1,2,1,1,2))]. given #15502 (H,wt=34): 17145 (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). [para(16515(a,1),16513(a,1,1))]. given #15503 (H,wt=27): 17150 (K(x,K(y,z)) * a(u,w,v5)) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). [para(24(a,2),17145(a,1,1,2))]. given #15504 (H,wt=15): 17151 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [hyper(15044,a,17150,a)]. given #15505 (H,wt=35): 16216 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(16024(a,1),10636(a,1,1))]. given #15506 (H,wt=33): 17153 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(7583(a,1),16216(a,1,1))]. given #15507 (H,wt=31): 17154 K(x,K(y,T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(7643(a,1),17153(a,1,1))]. given #15508 (H,wt=29): 17155 K(x,K(y,z)) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(14826(a,1),17154(a,1,1))]. given #15509 (H,wt=29): 17156 K(x,K(y,z)) * K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [hyper(7540,a,17155,a)]. given #15510 (H,wt=29): 17158 T(K((x * y) \ z,x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [hyper(240,a,16752,a,b,17156,a(flip)),flip(a)]. given #15511 (H,wt=29): 17159 T(K(x \ (y \ z),x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [para(13915(a,1),17158(a,1,1,1))]. given #15512 (H,wt=23): 17160 K((x * y) \ T(z,u),y * x) = T(K(y \ (x \ z),y * x),u). [para(16622(a,1),17159(a,1,1)),flip(a)]. given #15513 (H,wt=26): 17161 K((x * y) \ T(z,u),y * x) != w | K(y \ (x \ z),T(y * x,u)) = w. [para(17160(a,2),7299(a,1))]. given #15514 (H,wt=26): 17162 K((x * y) \ z,T(x * y,u)) != w | K(x \ (y \ z),T(x * y,u)) = w. [para(10633(a,1),17161(a,1))]. given #15515 (H,wt=35): 16280 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. [para(16276(a,1),449(a,1,1))]. given #15516 (H,wt=35): 16349 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(12178(a,2),16345(a,2,1,2)),flip(a)]. given #15517 (H,wt=35): 16445 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(240,a,14447,a(flip),b,16426,a(flip))]. given #15518 (H,wt=35): 16474 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(16429(a,1),16443(a,2,1,2,2))]. given #15519 (H,wt=33): 17163 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(16423(a,1),16474(a,1,1,1))]. given #15520 (H,wt=31): 17164 K((x * (y / z)) * K(z,K(u,w) * v5),v6) = K(x * (y / T(z,K(w,u) * T(v5,v7))),v6). [hyper(15288,a,17163,a)]. given #15521 (H,wt=27): 17165 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,K(v5,v6) * T(x,v7))),w). [hyper(15697,a,17164,a)]. given #15522 (H,wt=28): 17167 K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. [para(17165(a,1),16540(a,1))]. given #15523 (H,wt=35): 16485 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(10133(a,1),16476(a,1,1,2,2))]. given #15524 (H,wt=33): 17168 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(11246(a,1),16485(a,1,1,2,1)),flip(a)]. given #15525 (H,wt=30): 17169 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(K(u,w) * (x * (y * (z / u))),v5). [hyper(240,a,16493,a(flip),b,17168,a)]. given #15526 (H,wt=25): 17171 K(K(x,y) * (z * (u * (w / x))),v5) = K(z * (u * (w / T(x,y))),v5). [para(11392(a,1),17169(a,1,1,2)),flip(a)]. given #15527 (H,wt=21): 17172 K(x * (y * (z / T(u,z))),w) = K(x * (y * (u \ z)),w). [hyper(240,a,16560,a(flip),b,17171,a(flip))]. given #15528 (H,wt=35): 17011 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(16916,a,15797,a)]. given #15529 (H,wt=31): 17173 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(15455,a,17011,a)]. given #15530 (H,wt=27): 17174 K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(14952,a,17173,a)]. given #15531 (H,wt=26): 17175 K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. [para(17174(a,2),15261(a,1))]. given #15532 (H,wt=36): 16260 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(16210(a,1),12830(a,1,1,2,1))]. given #15533 (H,wt=36): 17176 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(16824(a,1),16260(a,1,1,2))]. given #15534 (H,wt=36): 17177 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(16753(a,1),17176(a,1,1,2))]. given #15535 (H,wt=30): 17178 K(x * T(y \ z,a(u,y,w)),v5) = K(x * ((K(w,u) * y) \ (K(w,T(u,v6)) * z)),v5). [hyper(15272,a,17177,a)]. given #15536 (H,wt=25): 17179 K(x * ((K(y,z) * u) \ (K(y,T(z,w)) * v5)),v6) = K(x * (u \ v5),v6). [hyper(16403,a,17178,a),flip(a)]. given #15537 (H,wt=23): 17180 K(x * ((K(y,z) * u) \ (K(y,z) * w)),v5) = K(x * (u \ w),v5). [para(121(a,1),17179(a,1,1,2,2,1,2))]. given #15538 (H,wt=27): 17181 K(x * (T(y,K(z,u)) \ (K(u,z) * w)),v5) = K(x * ((y * K(z,u)) \ w),v5). [para(5182(a,1),17180(a,1,1,2,1))]. given #15539 (H,wt=26): 17182 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * (y \ (K(u,z) * w)),v5) = v6. [para(17181(a,1),15325(a,1))]. given #15540 (H,wt=37): 16774 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(16772(a,1),15721(a,1,1,2,2))]. given #15541 (H,wt=29): 17183 K(x * (y \ ((z * u) * ((u * z) \ w))),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). [hyper(17167,a,16774,a),flip(a)]. given #15542 (H,wt=25): 17184 K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ (K(y,z) * u)),v5). [para(10164(a,1),17183(a,1,1,2,2)),flip(a)]. given #15543 (H,wt=25): 17185 K(x * (K(y,z) * (u / T(w,u))),v5) = K(x * (w \ (K(y,z) * u)),v5). [hyper(240,a,17149,a(flip),b,17184,a(flip)),flip(a)]. given #15544 (H,wt=23): 17186 K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (y \ w)),v5). [hyper(240,a,17172,a(flip),b,17185,a(flip))]. given #15545 (H,wt=38): 16179 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(73,a,318,a,b,16148,a)]. given #15546 (H,wt=38): 16503 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. [para(16214(a,1),772(a,1,2))]. given #15547 (H,wt=38): 16657 L(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). [para(16642(a,1),10123(a,1,1))]. given #15548 (H,wt=38): 17007 (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(16998(a,1),10163(a,1,2,1))]. given #15549 (H,wt=29): 17187 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. [para(16390(a,1),17007(a,1,1,1))]. given #15550 (H,wt=39): 16076 (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))),u * K(x,K(y,z))). [para(16057(a,1),15040(a,1,2,2,1))]. given #15551 (H,wt=39): 16282 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(16278(a,1),15041(a,1,2,2,1))]. given #15552 (H,wt=31): 17191 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. [para(16282(a,1),16280(a,1))]. given #15553 (H,wt=39): 17189 (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(16245(a,1),16076(a,1,2))]. given #15554 (H,wt=39): 17190 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(16276(a,1),16282(a,1,2))]. given #15555 (H,wt=35): 17193 L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [hyper(772,a,17190,a)]. given #15556 (H,wt=28): 17194 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). [para(16057(a,1),17193(a,1,1)),flip(a)]. given #15557 (H,wt=21): 17195 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [hyper(17191,a,17194,a),flip(a)]. given #15558 (H,wt=21): 17196 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5 * K(z,K(u,w))). [para(14862(a,1),17195(a,1,2))]. given #15559 (H,wt=39): 17192 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(16016(a,1),17189(a,1,2,2))]. given #15560 (H,wt=32): 17197 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). [para(16057(a,1),17192(a,2,2))]. given #15561 (H,wt=24): 17198 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). [hyper(16503,a,17197,a)]. given #15562 (H,wt=18): 17199 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(17198(a,1),16601(a,1)),flip(b)]. given #15563 (H,wt=15): 17200 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [hyper(17199,a,17196,a(flip)),flip(a)]. given #15564 (H,wt=13): 17208 L(x,T(y,K(z,u)),w) = L(x,y,w). [para(4800(a,2),17200(a,1,2))]. given #15565 (H,wt=15): 17201 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [hyper(17199,a,16069,a(flip)),flip(a)]. given #15566 (H,wt=15): 17209 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(6976(a,1),17200(a,1,2))]. given #15567 (H,wt=13): 17215 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(240,a,17138,a(flip),b,17209,a(flip)),flip(a)]. given #15568 (H,wt=15): 17214 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(6975(a,1),17201(a,1,3))]. given #15569 (H,wt=17): 17207 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(98(a,1),17200(a,1,2)),flip(a)]. given #15570 (H,wt=17): 17213 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(6207(a,1),17201(a,1,3))]. given #15571 (H,wt=18): 17203 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(6976(a,1),17199(a,1,3))]. given #15572 (H,wt=19): 17222 L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). [para(7217(a,2),17214(a,1,3))]. given #15573 (H,wt=20): 17202 L(x,y,z * K(u,w)) != v5 | L(x,y,K(u,w) * z) = v5. [para(98(a,1),17199(a,1,3))]. given #15574 (H,wt=20): 17216 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(7126,a,17215,a),flip(a)]. given #15575 (H,wt=20): 17218 L(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(17215(a,1),14042(a,1,1))]. given #15576 (H,wt=15): 17227 (x / y) / K(x,z) = x / (K(x,z) * y). [para(15619(a,1),17218(a,1,1))]. given #15577 (H,wt=15): 17228 x / (K(x,y) * z) = (x / z) * K(y,x). [hyper(7113,a,17227,a),flip(a)]. given #15578 (H,wt=20): 17219 L(a(x,y,z),x * (y * z),K(z,y)) = a(x,y,T(z,y)). [hyper(11219,a,17214,a),flip(a)]. given #15579 (H,wt=11): 17230 a(x,y,T(z,y)) = a(x,y,z). [hyper(16942,a,17219,a),flip(a)]. given #15580 (H,wt=18): 17232 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(17230(a,1),668(a,1,2))]. given #15581 (H,wt=19): 17234 (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). [hyper(1210,a,17232,a)]. given #15582 (H,wt=17): 17240 T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u. [para(55(a,1),17234(a,1,2)),flip(a)]. given #15583 (H,wt=19): 17235 (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. [hyper(889,a,17232,a),flip(a)]. given #15584 (H,wt=19): 17239 (a(x,y,z) * u) \ (w * u) = T(a(x,y,z) \ w,u). [para(14(a,1),17234(a,1,2,1))]. given #15585 (H,wt=19): 17255 T(a(x,y,z) \ (u / w),w) = (a(x,y,z) * w) \ u. [para(16(a,1),17239(a,1,2)),flip(a)]. given #15586 (H,wt=21): 17220 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). [hyper(240,a,17031,a,b,17214,a(flip)),flip(a)]. given #15587 (H,wt=21): 17236 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,y) = u. [para(17232(a,1),241(a,1,2)),flip(b)]. given #15588 (H,wt=16): 17263 a(x * K(y,z),z,y) != u | a(x,z,y) = u. [para(10991(a,1),17236(a,1))]. given #15589 (H,wt=21): 17242 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(16369,a,17235,a),flip(a)]. given #15590 (H,wt=19): 17267 x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. [para(16841(a,1),17242(a,1,1)),flip(a)]. given #15591 (H,wt=19): 17268 x * (a(y,z,K(u,x)) * w) = L(x,z,K(y,u)) * w. [para(16842(a,1),17242(a,1,1)),flip(a)]. given #15592 (H,wt=21): 17259 (a(x,y,z) \ (u / w)) * w = w * ((a(x,y,z) * w) \ u). [para(17255(a,1),122(a,1,2)),flip(a)]. given #15593 (H,wt=21): 17264 a(x,y,K(z,u)) * (w / (a(x,y,K(z,u)) * v5)) = w / v5. [hyper(75,a,16,a(flip),b,17242,a),flip(a)]. given #15594 (H,wt=21): 17266 K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,u)) * w. [para(13626(a,1),17242(a,1,1)),flip(a)]. given #15595 (H,wt=21): 17275 x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). [para(16149(a,1),17264(a,1,2,2)),flip(a)]. given #15596 (H,wt=19): 17278 a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). [para(16840(a,1),17275(a,1,2)),flip(a)]. given #15597 (H,wt=16): 17279 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [para(17278(a,1),16365(a,1,2))]. given #15598 (H,wt=16): 17280 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(17278(a,1),16384(a,1,2))]. given #15599 (H,wt=20): 17281 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(17278(a,1),16414(a,1,2,2))]. given #15600 (H,wt=21): 17277 K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. [para(16082(a,1),17266(a,1,2))]. given #15601 (H,wt=21): 17287 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(11248(a,2),17277(a,2,1))]. given #15602 (H,wt=22): 17204 L(x,y,K(z,T(u,w)) * v5) != v6 | L(x,y,K(z,u) * v5) = v6. [para(15033(a,1),17199(a,1,3))]. given #15603 (H,wt=22): 17212 (x * T(y,K(z,u))) * L(w,y,x) = x * (T(y,K(z,u)) * w). [para(17208(a,1),106(a,1,2))]. given #15604 (H,wt=22): 17233 a(x,y,z) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. [para(17230(a,1),13838(a,1,1))]. given #15605 (H,wt=20): 17292 a(x,y,z) * (x * (z * y)) = (x * (y * K(z,y))) * z. [para(122(a,1),17233(a,1,2,2))]. given #15606 (H,wt=18): 17293 a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). [hyper(240,a,10808,a(flip),b,17292,a)]. given #15607 (H,wt=22): 17237 (a(x,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. [para(17232(a,1),889(a,1))]. given #15608 (H,wt=22): 17238 (a(x,y,z) * u) * (a(x,y,z) \ 1) = T(u,a(x,y,z) \ 1). [hyper(240,a,129,a(flip),b,17234,a(flip)),flip(a)]. given #15609 (H,wt=22): 17254 T(a(x,y,z) \ u,a(x,y,z) \ 1) = u * (a(x,y,z) \ 1). [hyper(240,a,129,a(flip),b,17239,a(flip))]. given #15610 (H,wt=19): 17297 x * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. [hyper(240,a,9884,a(flip),b,17254,a(flip))]. given #15611 (H,wt=22): 17271 x * (a(y,z,K(x,u)) * (z * K(u,y))) = (x * z) * K(u,y). [hyper(240,a,16650,a(flip),b,17267,a)]. given #15612 (H,wt=22): 17276 K(x,y) \ T(L(x,z,u),y) = a(x,z,K(u,y)) * L(x,z,u). [hyper(73,a,11321,a(flip),b,17266,a)]. given #15613 (H,wt=22): 17286 (K(x,y) * z) \ (K(x,y) * ((z * u) * a(x,z,K(u,y)))) = u. [hyper(73,a,17277,a,b,14459,a(flip))]. given #15614 (H,wt=23): 17243 T(a(x,y,z) * (u * K(w,u)),w) = w \ ((a(x,y,z) * w) * u). [hyper(401,a,17235,a(flip),b,10808,a)]. given #15615 (H,wt=21): 17302 x \ ((a(x,y,y \ 1) * x) * z) = a(x,y,y \ 1) * z. [hyper(240,a,10811,a(flip),b,17243,a(flip))]. given #15616 (H,wt=19): 17303 x \ (R(x,y,y \ 1) * z) = a(x,y,y \ 1) * z. [para(3662(a,1),17302(a,1,2,1))]. given #15617 (H,wt=19): 17304 R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z. [hyper(1176,a,17303,a)]. given #15618 (H,wt=19): 17305 R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z. [hyper(543,a,17303,a),flip(a)]. given #15619 (H,wt=14): 17313 T(x,a(y,z,z \ 1) \ z) = T(x,z). [para(17305(a,1),6280(a,1,2))]. given #15620 (H,wt=19): 17306 x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z. [para(17303(a,1),14(a,1,2))]. given #15621 (H,wt=19): 17308 (x / y) * R(y,z,z \ 1) = a(y,z,z \ 1) * x. [hyper(240,a,13913,a(flip),b,17304,a(flip)),flip(a)]. given #15622 (H,wt=19): 17309 a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. [hyper(73,a,1164,a(flip),b,17304,a(flip))]. given #15623 (H,wt=19): 17311 x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z. [hyper(240,a,1169,a(flip),b,17305,a(flip)),flip(a)]. given #15624 (H,wt=19): 17312 R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. [para(17305(a,1),14(a,1,2))]. given #15625 (H,wt=19): 17314 a(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z / x. [hyper(17,a,14054,a(flip),b,17306,a)]. given #15626 (H,wt=19): 17317 a(x,y,y \ 1) * (z * x) = z * R(x,y,y \ 1). [para(15(a,1),17308(a,1,1)),flip(a)]. given #15627 (H,wt=19): 17320 (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. [hyper(259,a,1170,a(flip),b,17311,a(flip))]. given #15628 (H,wt=19): 17322 (x * y) / R(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(73,a,15,a(flip),b,17314,a),flip(a)]. given #15629 (H,wt=19): 17323 (x * y) \ (x * R(y,z,z \ 1)) = a(y,z,z \ 1). [hyper(73,a,17317,a(flip),b,13544,a(flip))]. given #15630 (H,wt=16): 17328 L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). [hyper(775,a,17323,a)]. given #15631 (H,wt=21): 17310 L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. [hyper(644,a,17305,a)]. given #15632 (H,wt=21): 17325 (R(x,y,y \ 1) \ x) \ 1 = (a(x,y,y \ 1) \ 1) \ 1. [para(17320(a,1),14411(a,1,2)),flip(a)]. given #15633 (H,wt=17): 17330 (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). [hyper(240,a,12466,a(flip),b,17325,a)]. given #15634 (H,wt=21): 17326 L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. [hyper(6556,a,17322,a)]. given #15635 (H,wt=21): 17327 (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). [hyper(240,a,17311,a,b,17322,a)]. given #15636 (H,wt=23): 17247 (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. [para(13544(a,1),17235(a,1,1))]. given #15637 (H,wt=23): 17249 T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * x) * y). [para(17235(a,1),16504(a,1,2)),flip(a)]. given #15638 (H,wt=23): 17269 (x * y) * (a(z,u,K(w,y)) * v5) = (x * L(y,u,K(z,w))) * v5. [para(16941(a,1),17242(a,1,1)),flip(a)]. given #15639 (H,wt=23): 17273 (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). [hyper(14189,a,17259,a)]. given #15640 (H,wt=23): 17282 T(x,y / L(z,u,K(w,v5))) = T(x,a(v6,v7,K(v8,v9)) * (y / z)). [hyper(240,a,16365,a,b,17279,a)]. given #15641 (H,wt=19): 17336 T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. [para(17282(a,2),12729(a,1))]. given #15642 (H,wt=23): 17283 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y / (w \ (K(z,u) * v5))). [para(454(a,1),17280(a,1,2,2)),flip(a)]. given #15643 (H,wt=23): 17284 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * (K(z,u) * (w / v5))). [para(501(a,1),17281(a,1,2,2)),flip(a)]. given #15644 (H,wt=23): 17319 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(z,u,u \ 1) * y). [para(17308(a,1),17048(a,1,2)),flip(a)]. given #15645 (H,wt=23): 17337 K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). [hyper(240,a,17019,a(flip),b,17284,a(flip)),flip(a)]. given #15646 (H,wt=24): 17245 (a(x,y,z) * u) * T(w,u) != u * v5 | T(a(x,y,z) * w,u) = v5. [para(17235(a,2),183(a,2)),flip(a)]. given #15647 (H,wt=24): 17265 x * (a(y,z,K(u,w)) * v5) != v6 * v5 | a(y,z,K(u,w)) * x = v6. [para(17242(a,1),20(a,1))]. given #15648 (H,wt=24): 17332 (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. [para(17330(a,1),539(a,1,1,2))]. given #15649 (H,wt=25): 17224 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(u \ 1,z)). [hyper(240,a,13065,a,b,17222,a(flip)),flip(a)]. given #15650 (H,wt=23): 17340 L(x,y,K(z / ((u \ w) \ w),T(u,w))) = L(x,y,K(u \ 1,z)). [para(6957(a,1),17224(a,1,3))]. given #15651 (H,wt=21): 17341 L(x,y,K(z / T(u,w),T(u,w))) = L(x,y,K(u \ 1,z)). [para(12714(a,1),17340(a,1,3))]. given #15652 (H,wt=17): 17342 L(x,y,K(z \ 1,u)) = L(x,y,K(z \ u,z)). [para(15193(a,1),17341(a,1,3)),flip(a)]. given #15653 (H,wt=15): 17343 L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [hyper(240,a,13009,a(flip),b,17342,a)]. given #15654 (H,wt=15): 17345 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3022(a,1),17343(a,1,3)),flip(a)]. given #15655 (H,wt=15): 17349 L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). [hyper(240,a,16892,a(flip),b,17345,a(flip)),flip(a)]. given #15656 (H,wt=17): 17344 T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,u)). [hyper(240,a,16866,a(flip),b,17343,a(flip)),flip(a)]. given #15657 (H,wt=17): 17346 L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ z)). [para(6019(a,1),17343(a,1,3))]. given #15658 (H,wt=15): 17355 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(240,a,12996,a(flip),b,17346,a)]. given #15659 (H,wt=17): 17348 L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. [para(17343(a,1),16942(a,1))]. given #15660 (H,wt=18): 17356 a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). [hyper(17348,a,10541,a)]. given #15661 (H,wt=11): 17358 a(x,T(y,x),z) = a(x,y,z). [hyper(240,a,186,a(flip),b,17356,a),flip(a)]. given #15662 (H,wt=13): 17359 a(x / y,y,z) = a(y \ x,y,z). [hyper(240,a,5800,a(flip),b,17358,a(flip)),flip(a)]. given #15663 (H,wt=13): 17360 a(x \ (y * x),x,z) = a(y,x,z). [para(15(a,1),17359(a,1,1)),flip(a)]. given #15664 (H,wt=19): 17347 L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). [para(13572(a,1),17343(a,1,3))]. given #15665 (H,wt=21): 17351 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). [para(6125(a,1),17345(a,1,3)),flip(a)]. given #15666 (H,wt=22): 17350 L(R(x,y,z),y * z,K(z,u)) = R(x,y,z * K(u,z \ 1)). [hyper(240,a,16644,a(flip),b,17345,a(flip))]. given #15667 (H,wt=17): 17361 R(x,y,z * K(u,z \ 1)) = R(x,y,T(z,u)). [hyper(16656,a,17350,a),flip(a)]. given #15668 (H,wt=17): 17362 R(x,y,T(1 / z,u) \ 1) = R(x,y,T(z,u)). [para(7281(a,2),17361(a,1,3))]. given #15669 (H,wt=17): 17363 R(x,y,T(z,u) \ 1) = R(x,y,T(z \ 1,u)). [para(62(a,1),17362(a,1,3,1,1))]. given #15670 (H,wt=23): 17352 L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u \ L(x,y,z))). [hyper(6388,a,17349,a),flip(a)]. given #15671 (H,wt=20): 17365 L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,z)). [hyper(240,a,6561,a(flip),b,17352,a(flip))]. given #15672 (H,wt=19): 17366 L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). [hyper(240,a,17052,a(flip),b,17365,a(flip))]. given #15673 (H,wt=18): 17367 L(L(x,y,z),y,K(u,z)) = L(x,y,T(z,u \ z)). [hyper(240,a,16930,a,b,17366,a(flip)),flip(a)]. given #15674 (H,wt=17): 17368 L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)). [hyper(240,a,16897,a(flip),b,17367,a(flip))]. given #15675 (H,wt=23): 17353 (x / L(T(y,z),u,K(z,w))) * y = x * K(L(z,u,w \ 1),y). [para(17344(a,1),7179(a,1,1,2))]. given #15676 (H,wt=23): 17354 (x \ y) \ (x \ L(T(y,z),u,K(z,w))) = K(y,L(z,u,w \ 1)). [para(17344(a,1),14084(a,1,2,2))]. given #15677 (H,wt=23): 17369 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(L(u,y,z \ 1),x). [hyper(240,a,17099,a(flip),b,17353,a(flip)),flip(a)]. given #15678 (H,wt=23): 17371 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(u,L(x,y,z \ 1)). [para(11309(a,1),17369(a,2,2))]. given #15679 (H,wt=20): 17372 x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). [para(17371(a,1),17271(a,1,2))]. given #15680 (H,wt=15): 17374 K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). [hyper(11338,a,17372,a(flip))]. given #15681 (H,wt=15): 17375 L(K(x,L(y,z,u \ 1)),z,u) = K(x,y). [hyper(438,a,17372,a(flip))]. given #15682 (H,wt=20): 17377 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(240,a,13947,a(flip),b,17374,a(flip)),flip(a)]. given #15683 (H,wt=20): 17378 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [para(515(a,1),17374(a,1,2))]. given #15684 (H,wt=20): 17379 K(L(x \ (y * z),x,y \ 1),u) = K((y \ x) \ z,u). [hyper(240,a,11309,a,b,17377,a(flip)),flip(a)]. given #15685 (H,wt=22): 17373 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [hyper(73,a,93,a(flip),b,17372,a),flip(a)]. given #15686 (H,wt=20): 17383 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(16352(a,1),17373(a,1,2))]. given #15687 (H,wt=20): 17384 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(17,a,11405,a(flip),b,17383,a)]. given #15688 (H,wt=22): 17376 K((x * y) \ z,L(u,x \ z,x \ 1)) = K(y \ (x \ z),u). [hyper(11270,a,17374,a)]. given #15689 (H,wt=20): 17386 K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). [hyper(240,a,16352,a(flip),b,17376,a(flip)),flip(a)]. given #15690 (H,wt=22): 17387 K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K(x \ (y \ z),u). [hyper(240,a,11330,a,b,17386,a(flip)),flip(a)]. given #15691 (H,wt=24): 17382 K(L(x \ (y * z),x,y \ 1),u) = w / (K(u,(y \ x) \ z) * w). [hyper(240,a,5184,a,b,17379,a)]. given #15692 (H,wt=25): 17244 (a(x,y,z) * u) * L(T(w,u),v5,v6) = (a(x,y,z) * L(w,v5,v6)) * u. [para(40(a,2),17235(a,1,2))]. given #15693 (H,wt=25): 17289 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [para(13603(a,2),17287(a,1,2,2))]. given #15694 (H,wt=25): 17291 (x * T(y,K(z,u))) * w != x * (T(y,K(z,u)) * v5) | L(v5,y,x) = w. [para(17212(a,1),19(a,1)),flip(a)]. given #15695 (H,wt=25): 17296 T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = w. [para(17238(a,1),541(a,1))]. given #15696 (H,wt=25): 17333 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. [para(17326(a,1),6743(a,1,1))]. given #15697 (H,wt=25): 17334 ((x * a(y,z,z \ 1)) * u) \ ((a(y,z,z \ 1) * u) * x) = K(u,x). [hyper(73,a,17247,a(flip),b,5929,a)]. given #15698 (H,wt=25): 17338 K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). [hyper(240,a,16888,a(flip),b,17337,a(flip))]. given #15699 (H,wt=23): 17390 K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,u) * (z / v5))). [hyper(15323,a,17338,a),flip(a)]. given #15700 (H,wt=23): 17391 K(x,y * (z / (u * K(w,v5)))) = K(x,y * (K(v5,w) * (z / u))). [hyper(15322,a,17390,a)]. given #15701 (H,wt=26): 17206 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(240,a,16281,a(flip),b,17200,a(flip)),flip(a)]. given #15702 (H,wt=26): 17257 ((x * y) * z) \ (u * (x * (y * z))) = T(a(x,y,z) \ u,x * (y * z)). [para(13825(a,1),17239(a,1,1))]. given #15703 (H,wt=26): 17270 L(x,y,K(z,u)) * T(w,a(u,y,K(x,z))) = x * (w * a(u,y,K(x,z))). [hyper(544,a,17267,a),flip(a)]. given #15704 (H,wt=26): 17301 a(x,x \ y,(x \ y) \ 1) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). [para(677(a,1),17297(a,1,2,1)),flip(a)]. given #15705 (H,wt=25): 17394 x * ((y \ (z * ((y \ z) \ 1))) \ 1) = (y \ (z * ((y \ z) \ 1))) \ x. [para(677(a,1),17301(a,1,1)),flip(a)]. given #15706 (H,wt=26): 17307 x * (a(x,y,y \ 1) * z) != u * w | (R(x,y,y \ 1) * z) / w = u. [para(17303(a,1),295(a,1,2))]. given #15707 (H,wt=26): 17324 a(x,y,y \ 1) * (z * x) != u * w | u \ (z * R(x,y,y \ 1)) = w. [para(17317(a,2),517(a,1))]. given #15708 (H,wt=26): 17380 T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. [para(17377(a,1),16528(a,1,2,1))]. given #15709 (H,wt=26): 17388 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = w / (K(y \ (z \ u),x) * w). [para(17387(a,1),5184(a,1,2,1)),flip(a)]. given #15710 (H,wt=22): 17395 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(240,a,16328,a(flip),b,17388,a)]. given #15711 (H,wt=20): 17396 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). [hyper(240,a,11334,a,b,17395,a(flip)),flip(a)]. given #15712 (H,wt=26): 17393 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(240,a,16286,a(flip),b,17206,a(flip)),flip(a)]. given #15713 (H,wt=21): 17398 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(28(a,2),17393(a,1,2)),flip(a)]. given #15714 (H,wt=19): 17400 K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(17398(a,2),15225(a,1,2))]. given #15715 (H,wt=21): 17399 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(240,a,14862,a(flip),b,17398,a)]. given #15716 (H,wt=21): 17402 L(K(x,K(y,z)) * u,w,v5) = L(u,w,v5) * K(x,K(y,z)). [para(14862(a,2),17399(a,1,1))]. given #15717 (H,wt=23): 17401 K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). [para(16259(a,1),17400(a,1,2,1))]. given #15718 (H,wt=27): 17250 K(((a(x,y,z) * T(u,w)) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). [para(17235(a,1),17027(a,1,1,1))]. given #15719 (H,wt=27): 17251 K(x \ ((a(y,z,u) * T(w,v5)) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). [para(17235(a,1),17057(a,1,1,2))]. given #15720 (H,wt=27): 17274 T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). [para(17259(a,1),3997(a,1,2,2))]. given #15721 (H,wt=27): 17285 K(x,y * (z / ((K(u,w) * v5) \ v6))) = K(x,y * (z / (v5 \ (K(w,u) * v6)))). [para(5196(a,1),17281(a,1,2,2,2))]. given #15722 (H,wt=27): 17389 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. [hyper(240,a,12,a,b,17289,a(flip)),flip(a)]. given #15723 (H,wt=27): 17406 T(x,(((a(y,z,u) * w) \ v5) * w) \ w) = T(x,(a(y,z,u) \ (v5 / w)) \ 1). [hyper(8351,a,17274,a)]. given #15724 (H,wt=25): 17408 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) \ (y / v5)) \ 1). [hyper(240,a,9100,a(flip),b,17406,a(flip)),flip(a)]. given #15725 (H,wt=28): 17258 K(a(x,y,z) \ (u / w),w) \ ((a(x,y,z) * w) \ u) = a(x,y,z) \ (u / w). [hyper(73,a,17255,a(flip),b,4809,a(flip))]. given #15726 (H,wt=28): 17288 L(K(x,y),z,u) * w != v5 * v6 | v5 \ (K(x,y) * (w * a(x,z,K(u,y)))) = v6. [para(17287(a,1),517(a,1))]. given #15727 (H,wt=28): 17299 (a(x,y,y \ 1) \ 1) * T(z,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ z. [hyper(232,a,17297,a)]. given #15728 (H,wt=19): 17410 (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. [para(9884(a,1),17299(a,1,2))]. given #15729 (H,wt=19): 17411 (a(x,y,y \ 1) \ 1) \ z = a(x,y,y \ 1) * z. [hyper(73,a,13,a(flip),b,17410,a)]. given #15730 (H,wt=19): 17412 (a(x,y,y \ 1) \ 1) \ z = z * a(x,y,y \ 1). [hyper(240,a,13544,a(flip),b,17411,a)]. given #15731 (H,wt=19): 17414 (1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * z. [para(12465(a,2),17411(a,1,1))]. given #15732 (H,wt=19): 17415 (R(x,y,y \ 1) \ x) \ z = a(x,y,y \ 1) * z. [hyper(17332,a,17414,a)]. given #15733 (H,wt=23): 17413 a(x,1 / y,(1 / y) \ 1) * z = (a(x,1 / y,y) \ 1) \ z. [para(65(a,1),17411(a,1,1,1,3)),flip(a)]. given #15734 (H,wt=23): 17419 a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. [para(4712(a,1),17413(a,2,1,1))]. given #15735 (H,wt=19): 17420 (a(x,y \ 1,y) \ 1) \ z = a(x,1 / y,y) * z. [para(65(a,1),17419(a,1,1,3)),flip(a)]. given #15736 (H,wt=19): 17421 (a(x,y \ 1,y) \ 1) \ z = a(x,y \ 1,y) * z. [para(4712(a,1),17420(a,2,1))]. given #15737 (H,wt=28): 17316 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (R(x,u,u \ 1) * (x \ y)) * z. [hyper(14365,a,17308,a),flip(a)]. given #15738 (H,wt=26): 17422 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. [para(17304(a,1),17316(a,2,1))]. given #15739 (H,wt=21): 17423 a(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(18,a,118,a,b,17422,a)]. given #15740 (H,wt=28): 17364 L(x \ R(x,y,T(z \ 1,u)),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). [para(17363(a,1),14526(a,2,1,2)),flip(a)]. given #15741 (H,wt=28): 17409 K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). [para(8229(a,1),17258(a,1,1))]. given #15742 (H,wt=28): 17424 K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). [hyper(5193,a,17409,a)]. given #15743 (H,wt=29): 17226 x * (T(K(y,z),x) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(17216(a,1),10202(a,1,2)),flip(a)]. given #15744 (H,wt=29): 17298 K(a(x,y,z) \ 1,a(x,y,z) \ u) * (u * (a(x,y,z) \ 1)) = a(x,y,z) \ u. [para(17254(a,1),4769(a,1,2))]. given #15745 (H,wt=22): 17426 x * T(a(y,z,u) \ 1,a(y,z,u) \ x) = a(y,z,u) \ x. [hyper(16818,a,17298,a)]. given #15746 (H,wt=19): 17427 x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. [para(9887(a,1),17426(a,1,2))]. given #15747 (H,wt=29): 17404 x * T(L(K(x,K(y,z)) * (u / x),w,v5),x) = T(x,K(y,z)) * L(x \ u,w,v5). [para(17402(a,2),15119(a,1,2,1))]. given #15748 (H,wt=27): 17428 x * T(L(y / T(x,K(z,u)),w,v5),x) = T(x,K(z,u)) * L(x \ y,w,v5). [para(15039(a,1),17404(a,1,2,1,1))]. given #15749 (H,wt=27): 17429 x * L(T(y / T(x,K(z,u)),x),w,v5) = T(x,K(z,u)) * L(x \ y,w,v5). [para(40(a,2),17428(a,1,2))]. given #15750 (H,wt=25): 17430 T(x,K(y,z)) * L(x \ u,w,v5) = x * L(T(x,K(y,z)) \ u,w,v5). [para(14880(a,1),17429(a,1,2,1)),flip(a)]. given #15751 (H,wt=29): 17425 x * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(6964(a,2),17226(a,1,2,1))]. given #15752 (H,wt=29): 17431 x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(16507(a,2),17425(a,1,2))]. given #15753 (H,wt=27): 17432 (K(x,y) * z) * (u / (K(x,y) * z)) = z * T(u / T(z,K(x,y)),K(x,y)). [para(14955(a,1),17431(a,1,2,1)),flip(a)]. given #15754 (H,wt=29): 17433 x * T(K(y,z) / T(x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [hyper(240,a,5764,a(flip),b,17432,a(flip))]. given #15755 (H,wt=29): 17434 x * T(T(K(y,z) / x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [para(9072(a,1),17433(a,1,2,1))]. given #15756 (H,wt=21): 17435 K(x,y) * K(K(x,y) * z,z \ 1) = z * (K(x,y) / z). [para(7562(a,1),17434(a,1,2)),flip(a)]. given #15757 (H,wt=17): 17436 K(K(x,y) * z,z \ 1) = K(z,z \ K(x,y)). [hyper(17,a,4976,a,b,17435,a)]. given #15758 (H,wt=23): 17438 K(x \ 1,K(y,z) * x) * K(z,y) = (x * (K(y,z) / x)) \ 1. [para(17435(a,1),13732(a,1,1)),flip(a)]. given #15759 (H,wt=23): 17440 K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. [hyper(15146,a,17438,a)]. given #15760 (H,wt=19): 17441 (x * (K(y,z) / x)) \ 1 = (x \ 1) * (K(z,y) * x). [hyper(240,a,14146,a(flip),b,17440,a(flip))]. given #15761 (H,wt=21): 17442 K(x \ K(y,z),x) * K(z,y) = (x \ 1) * (K(z,y) * x). [hyper(14198,a,17441,a)]. given #15762 (H,wt=19): 17443 1 / (x * (K(y,z) / x)) = (x \ 1) * (K(z,y) * x). [hyper(240,a,14214,a(flip),b,17442,a(flip)),flip(a)]. given #15763 (H,wt=24): 17439 K(x,y) * K(K(x,y) * z,z \ 1) != u | z * (K(x,y) / z) = u. [para(17436(a,2),5138(a,1,2))]. given #15764 (H,wt=24): 17444 (K(x,y) * z) * T(1 / z,K(x,y)) != u | z * (K(x,y) / z) = u. [para(14260(a,2),17439(a,1))]. given #15765 (H,wt=30): 17246 (x * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w) = K(a(y,z,u) * w,x) * K(x,w). [para(17235(a,1),9602(a,1,2))]. given #15766 (H,wt=30): 17248 ((a(x,y,z) * u) * w) \ (u * (a(x,y,z) * w)) = K(w,u) * K(u,a(x,y,z) * w). [para(17235(a,1),14012(a,1,1))]. given #15767 (H,wt=30): 17335 (x * a(y,z,z \ 1)) * T(u,x) != w * v5 | w \ ((a(y,z,z \ 1) * u) * x) = v5. [para(17247(a,2),517(a,1))]. given #15768 (H,wt=31): 17381 K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(95(a,1),17378(a,1,2,1))]. given #15769 (H,wt=31): 17445 a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). [hyper(13836,a,17381,a)]. given #15770 (H,wt=22): 17446 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,y \ z,K(y,x)). [para(8966(a,1),17445(a,1,3)),flip(a)]. given #15771 (H,wt=20): 17447 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(240,a,13918,a(flip),b,17446,a)]. given #15772 (H,wt=32): 17295 (a(x,y,z) * (u * K(a(x,y,z) \ u,u))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [hyper(73,a,6475,a(flip),b,17238,a)]. given #15773 (H,wt=30): 17450 (a(x,y,z) * (u * a(z,y,K(x,u)))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [para(16989(a,1),17295(a,1,1,2,2))]. given #15774 (H,wt=28): 17451 (a(x,y,z) * L(u,y,K(z,x))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [para(16827(a,1),17450(a,1,1,2))]. given #15775 (H,wt=23): 17452 (x * a(y,z,u)) \ R(x,a(y,z,u) \ 1,x) = a(y,z,u) \ 1. [para(16835(a,1),17451(a,1,1))]. given #15776 (H,wt=32): 17405 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(240,a,15412,a(flip),b,17401,a(flip)),flip(a)]. given #15777 (H,wt=29): 17454 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). [para(6992(a,1),17405(a,2,2))]. given #15778 (H,wt=25): 17455 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). [hyper(17175,a,17454,a),flip(a)]. given #15779 (H,wt=23): 17456 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). [para(121(a,1),17455(a,2,2,1,2,2))]. given #15780 (H,wt=23): 17457 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,y / (z * K(w,u))). [hyper(240,a,16584,a(flip),b,17456,a)]. given #15781 (H,wt=32): 17407 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(v5,v6,K(1,v7)) = L(K(x,y),u,w) * z. [para(336(a,2),17389(a,1,2))]. given #15782 (H,wt=33): 17241 K(((a(x,y,z) * u) * (T(a(x,y,z) \ 1,u) / w)) \ u,v5) = K(w,L(v5,u,a(x,y,z) * u)). [para(17240(a,2),13945(a,1,1,1,2,1))]. given #15783 (H,wt=33): 17272 ((x * y) * (a(z,u,K(w,y)) * v5)) / (L(y,u,K(z,w)) * v5) = R(x,y,a(z,u,K(w,y)) * v5). [para(17268(a,1),30(a,2,2)),flip(a)]. given #15784 (H,wt=31): 17459 ((x * L(y,z,K(u,w))) * v5) / (L(y,z,K(u,w)) * v5) = R(x,y,a(u,z,K(w,y)) * v5). [para(17269(a,1),17272(a,1,1))]. given #15785 (H,wt=21): 17460 R(x,y,a(z,u,K(w,y)) * v5) = R(x,L(y,u,K(z,w)),v5). [hyper(483,a,17459,a),flip(a)]. given #15786 (H,wt=24): 17461 R(x,y,a(z,u,K(w,y)) * v5) != v6 | R(x,L(y,u,K(z,w)),v5) = v6. [para(17459(a,1),483(a,1))]. given #15787 (H,wt=33): 17294 a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) = (a(x,y,y \ 1) * z) * T(u,z). [hyper(13550,a,17293,a)]. given #15788 (H,wt=33): 17300 (a(x,y,y \ 1) \ z) \ (z * ((a(x,y,y \ 1) \ 1) * u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(17297(a,1),28(a,2,1)),flip(a)]. given #15789 (H,wt=31): 17463 (a(x,y,y \ 1) \ z) \ (z * (a(x,y,y \ 1) \ u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(17410(a,1),17300(a,1,2,2))]. given #15790 (H,wt=33): 17397 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(678(a,1),17396(a,2,2,2))]. given #15791 (H,wt=33): 17403 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(17399(a,2),15393(a,1,1))]. given #15792 (H,wt=33): 17464 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(5383(a,1),17403(a,1,1,1))]. given #15793 (H,wt=31): 17465 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(7549(a,1),17464(a,1,1,1))]. given #15794 (H,wt=31): 17466 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(240,a,40,a,b,17465,a(flip)),flip(a)]. given #15795 (H,wt=25): 17467 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(15334(a,1),17466(a,1,1))]. given #15796 (H,wt=34): 17225 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(263(a,1),17216(a,2,2))]. given #15797 (H,wt=34): 17449 K(x,K((y \ z) * u,y \ (z * u))) \ a(y,z,K(x,u)) = K(x,(y \ (z * u)) / ((y \ z) * u)). [hyper(73,a,17447,a(flip),b,8170,a)]. given #15798 (H,wt=34): 17462 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(17294(a,2),17237(a,1))]. given #15799 (H,wt=34): 17469 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(7094(a,1),17225(a,1,1,1))]. given #15800 (H,wt=35): 17223 (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),K(z,T(u,y)) * y,x). [para(17214(a,1),7681(a,1,1)),flip(a)]. given #15801 (H,wt=33): 17470 (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),y * K(z,u),x). [para(7611(a,1),17223(a,2,2))]. given #15802 (H,wt=35): 17290 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(17287(a,1),14469(a,1,2,1))]. given #15803 (H,wt=29): 17472 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(16051(a,1),17290(a,1,1))]. given #15804 (H,wt=29): 17473 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(16135(a,1),17472(a,1,2))]. given #15805 (H,wt=29): 17474 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5193,a,17473,a)]. given #15806 (H,wt=25): 17475 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(240,a,13618,a(flip),b,17474,a(flip))]. given #15807 (H,wt=30): 17476 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(4803,a,17475,a),flip(a)]. given #15808 (H,wt=23): 17477 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(16390(a,1),17476(a,1,2,2))]. given #15809 (H,wt=21): 17478 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4800(a,2),17477(a,1,2)),flip(a)]. given #15810 (H,wt=35): 17370 (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(8452(a,1),17354(a,1,2,2,3))]. given #15811 (H,wt=33): 17481 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,w / z))) = K(y,L((z * u) / w,v5,u \ 1)). [para(17355(a,1),17370(a,1,2,2))]. given #15812 (H,wt=33): 17482 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). [para(17213(a,1),17481(a,1,2,2))]. given #15813 (H,wt=36): 17256 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(17239(a,1),10242(a,1,2)),flip(a)]. given #15814 (H,wt=36): 17315 (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(75,a,17306,a(flip),b,599,a(flip))]. given #15815 (H,wt=34): 17484 (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(679(a,1),17315(a,1,1,2,2))]. given #15816 (H,wt=27): 17485 (x * R(y,z,z \ 1)) / (y * a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). [para(122(a,1),17484(a,1,1))]. given #15817 (H,wt=25): 17486 (x * R(y,z,z \ 1)) / R(y,z,z \ 1) = L(x,a(y,z,z \ 1),y). [para(679(a,1),17485(a,1,2))]. given #15818 (H,wt=11): 17487 L(x,a(y,z,z \ 1),y) = x. [hyper(308,a,17486,a),flip(a)]. given #15819 (H,wt=11): 17489 L(x,a(y,z \ 1,z),y) = x. [para(4701(a,1),17487(a,1,2))]. given #15820 (H,wt=33): 17490 ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [hyper(240,a,13004,a,b,17489,a(flip)),flip(a)]. given #15821 (H,wt=33): 17491 ((x * (x * a(x,y \ 1,y))) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(12477(a,1),17490(a,1,1,1,2))]. given #15822 (H,wt=31): 17492 ((x * R(x,y \ 1,y)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(3580(a,1),17491(a,1,1,1,2))]. given #15823 (H,wt=27): 17493 R(x,y \ 1,y) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(617(a,1),17492(a,1,1))]. given #15824 (H,wt=19): 17494 R(x,y \ 1,y) \ (x * z) = a(x,y \ 1,y) \ z. [para(13340(a,1),17493(a,1,2,1))]. given #15825 (H,wt=19): 17495 x * (R(x,y \ 1,y) \ z) = a(x,y \ 1,y) \ z. [hyper(240,a,1169,a(flip),b,17494,a(flip)),flip(a)]. given #15826 (H,wt=21): 17496 L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ (1 / x). [hyper(240,a,3811,a(flip),b,17495,a(flip)),flip(a)]. given #15827 (H,wt=23): 17497 (1 / x) \ L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ 1. [hyper(73,a,17496,a,b,17427,a)]. given #15828 (H,wt=21): 17498 L(x \ 1,x,y * (x \ 1)) * x = a(y,x \ 1,x) \ 1. [hyper(1147,a,17497,a)]. given #15829 (H,wt=33): 17499 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L((y \ 1) \ 1,y \ 1,x) * (y \ 1). [para(315(a,1),17498(a,1,1,3)),flip(a)]. given #15830 (H,wt=36): 17418 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = (R(x,x \ y,(x \ y) \ 1) \ x) \ z. [para(95(a,2),17415(a,2,1)),flip(a)]. given #15831 (H,wt=33): 17501 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. [para(513(a,1),17418(a,2,1,1))]. given #15832 (H,wt=23): 17502 ((x * ((y \ x) \ 1)) \ y) \ z = (y \ (x * ((y \ x) \ 1))) * z. [para(56(a,1),17501(a,1,1,1)),flip(a)]. given #15833 (H,wt=21): 17503 (x \ (y * ((x \ y) \ 1))) \ 1 = (y * ((x \ y) \ 1)) \ x. [hyper(375,a,17502,a)]. given #15834 (H,wt=23): 17504 (x \ (y * ((x \ y) \ 1))) \ z = z * ((y * ((x \ y) \ 1)) \ x). [para(17503(a,1),17394(a,1,2)),flip(a)]. given #15835 (H,wt=23): 17505 x / (y \ (z * ((y \ z) \ 1))) = x * ((z * ((y \ z) \ 1)) \ y). [hyper(240,a,13554,a,b,17504,a(flip)),flip(a)]. given #15836 (H,wt=23): 17507 (x * (y \ (z * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. [hyper(523,a,17505,a)]. given #15837 (H,wt=27): 17506 x * ((y * (((y / z) \ y) \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. [para(65(a,1),17504(a,1,1,2,2,1)),flip(a)]. given #15838 (H,wt=23): 17509 ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (y \ 1)) \ (x / y)). [para(65(a,1),17506(a,1,2,1,2,1)),flip(a)]. given #15839 (H,wt=27): 17508 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. [para(65(a,1),17507(a,1,1,2,2,2,1)),flip(a)]. given #15840 (H,wt=31): 17510 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((y \ x) \ (((y \ x) * y) * (y \ 1)))) \ z. [para(10184(a,2),17508(a,2,1,2))]. given #15841 (H,wt=26): 17511 (x * a(y \ z,y,y \ 1)) \ x = (z * (((z / y) \ z) \ 1)) \ (z / y). [para(170(a,1),17510(a,2,1,2)),flip(a)]. given #15842 (H,wt=24): 17512 a(x \ y,x,x \ 1) \ 1 = (y * (((y / x) \ y) \ 1)) \ (y / x). [hyper(14143,a,17511,a)]. given #15843 (H,wt=20): 17513 a(x \ y,x,x \ 1) \ 1 = (y * (x \ 1)) \ (y / x). [para(65(a,1),17512(a,2,1,2,1))]. given #15844 (H,wt=36): 17483 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(16090(a,1),17256(a,2,2))]. given #15845 (H,wt=31): 17514 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(16988(a,1),17483(a,1,1))]. given #15846 (H,wt=37): 17321 (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(75,a,14144,a(flip),b,17312,a)]. given #15847 (H,wt=38): 17385 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(17383(a,1),14502(a,2,2,2))]. given #15848 (H,wt=38): 17458 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(v5,v6,K(K(v7,v8) * K(v8,v7),v9)) = L(K(x,y),u,w) * z. [para(4979(a,2),17407(a,1,2,3,1))]. given #15849 (H,wt=38): 17480 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(17478(a,2),13851(a,1,2,2))]. given #15850 (H,wt=24): 17517 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(16150(a,1),17480(a,1,2,2,1)),flip(a)]. given #15851 (H,wt=22): 17518 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(240,a,5033,a(flip),b,17517,a)]. given #15852 (H,wt=24): 17520 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(240,a,16379,a(flip),b,17518,a(flip))]. given #15853 (H,wt=22): 17522 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(240,a,12847,a(flip),b,17520,a(flip))]. given #15854 (H,wt=20): 17523 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5597,a,17522,a)]. given #15855 (H,wt=18): 17524 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(240,a,5486,a(flip),b,17523,a)]. given #15856 (H,wt=22): 17525 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(16811(a,1),17524(a,1,1,2))]. given #15857 (H,wt=26): 17526 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(240,a,16820,a(flip),b,17525,a(flip)),flip(a)]. given #15858 (H,wt=26): 17528 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(16358,a,17526,a(flip)),flip(a)]. given #15859 (H,wt=22): 17529 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),17528(a,2,1,2,2))]. given #15860 (H,wt=32): 17530 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(240,a,16349,a,b,17529,a(flip)),flip(a)]. given #15861 (H,wt=32): 17533 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(240,a,16345,a(flip),b,17530,a)]. given #15862 (H,wt=24): 17534 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5178(a,1),17533(a,2,1,2))]. given #15863 (H,wt=22): 17535 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4977(a,1),17534(a,1,1,2,1,2,1))]. given #15864 (H,wt=18): 17536 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(10751(a,1),17535(a,1,1,2,1))]. given #15865 (H,wt=23): 17537 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(13825(a,1),17536(a,1,1,2))]. given #15866 (H,wt=19): 17538 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(16542,a,17537,a),flip(a)]. given #15867 (H,wt=16): 17540 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(189(a,1),17538(a,1,1))]. given #15868 (H,wt=16): 17541 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7304,a,17540,a)]. given #15869 (H,wt=12): 17542 K(L(x,K(y,z),u),w) = K(x,w). [hyper(14906,a,17541,a)]. given #15870 (H,wt=10): 17549 a(x,K(y,z),K(u,w)) = 1. [hyper(72,a,17542,a,b,11300,a),flip(a)]. given #15871 (H,wt=12): 17543 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11312,a,17542,a)]. given #15872 (H,wt=12): 17556 L(x,K(y,z),K(u,w)) = 1 * x. [para(17549(a,1),16828(a,1,1)),flip(a)]. given #15873 (H,wt=10): 17564 L(x,K(y,z),K(u,w)) = x. [hyper(240,a,11,a(flip),b,17556,a)]. given #15874 (H,wt=12): 17567 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(71,a,17556,a(flip),b,16866,a(flip))]. given #15875 (H,wt=13): 17570 L(x,K(y,z),K(u,w)) != v5 | v5 = x. [para(17556(a,2),76(a,1))]. given #15876 (H,wt=13): 17582 R(x,K(y,z),K(u,w)) != v5 | v5 = x. [para(16642(a,2),17570(a,1))]. given #15877 (H,wt=14): 17560 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(17543(a,1),4800(a,2,2))]. given #15878 (H,wt=15): 17577 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [para(17564(a,1),16871(a,1,1)),flip(a)]. given #15879 (H,wt=16): 17546 K(L(x,K(y,z),u),w) = v5 / (K(w,x) * v5). [hyper(240,a,5184,a,b,17542,a)]. given #15880 (H,wt=15): 17586 K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. [para(17546(a,2),5194(a,1))]. given #15881 (H,wt=15): 17587 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(11306(a,2),17586(a,1))]. given #15882 (H,wt=15): 17588 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(11309(a,1),17586(a,1))]. given #15883 (H,wt=16): 17583 R(x,K(y,z),R(K(u,w),v5,v6)) != v7 | v7 = x. [para(5635(a,1),17582(a,1,3))]. given #15884 (H,wt=16): 17584 R(x,K(y,z),L(K(u,w),v5,v6)) != v7 | v7 = x. [para(5644(a,1),17582(a,1,3))]. given #15885 (H,wt=17): 17585 L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). [hyper(240,a,13046,a(flip),b,17577,a(flip)),flip(a)]. given #15886 (H,wt=19): 17552 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(240,a,14532,a(flip),b,17542,a(flip)),flip(a)]. given #15887 (H,wt=19): 17559 K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). [hyper(240,a,14449,a(flip),b,17543,a(flip))]. given #15888 (H,wt=19): 17561 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(5202(a,1),17543(a,1,2))]. given #15889 (H,wt=19): 17562 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(17543(a,1),14459(a,1,1)),flip(a)]. given #15890 (H,wt=19): 17563 K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). [para(17216(a,1),17543(a,1,2))]. given #15891 (H,wt=19): 17578 (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). [para(17564(a,1),16908(a,1,2))]. given #15892 (H,wt=19): 17580 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(5202(a,1),17567(a,1,2))]. given #15893 (H,wt=19): 17581 T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). [para(17216(a,1),17567(a,1,2))]. given #15894 (H,wt=19): 17597 K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). [hyper(240,a,14951,a,b,17552,a)]. given #15895 (H,wt=19): 17598 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(240,a,15233,a,b,17561,a(flip)),flip(a)]. given #15896 (H,wt=19): 17604 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(240,a,16316,a,b,17562,a)]. given #15897 (H,wt=19): 17610 K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)). [hyper(15276,a,17563,a)]. given #15898 (H,wt=19): 17611 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(240,a,14164,a(flip),b,17563,a(flip))]. given #15899 (H,wt=19): 17613 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(15307,a,17580,a)]. given #15900 (H,wt=19): 17614 T(x,(y * K(z,u)) \ w) = T(x,K(z,u) * (y \ w)). [hyper(240,a,14584,a,b,17580,a)]. given #15901 (H,wt=19): 17617 K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). [hyper(240,a,15254,a(flip),b,17597,a(flip)),flip(a)]. given #15902 (H,wt=19): 17618 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(16140,a,17598,a)]. given #15903 (H,wt=19): 17619 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(240,a,14593,a,b,17598,a)]. given #15904 (H,wt=19): 17620 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(240,a,16254,a(flip),b,17598,a(flip)),flip(a)]. given #15905 (H,wt=19): 17622 K(x,K(y,z) * ((K(y,z) * u) \ w)) = K(x,u \ w). [para(5178(a,1),17598(a,1,2,1)),flip(a)]. given #15906 (H,wt=19): 17631 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(14931,a,17611,a)]. given #15907 (H,wt=19): 17633 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u) / z). [hyper(240,a,17125,a(flip),b,17611,a(flip))]. given #15908 (H,wt=17): 17652 K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u). [hyper(240,a,16701,a(flip),b,17633,a(flip)),flip(a)]. given #15909 (H,wt=19): 17634 K(x,(y * z) * (z \ K(u,w))) = K(x,y * K(u,w)). [para(15(a,1),17611(a,1,2,1)),flip(a)]. given #15910 (H,wt=19): 17638 K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w). [para(5183(a,1),17617(a,2,1))]. given #15911 (H,wt=19): 17641 K(x,y \ (z * K(u,w))) = K(x,K(w,u) * (y \ z)). [hyper(240,a,16254,a(flip),b,17619,a(flip)),flip(a)]. given #15912 (H,wt=19): 17653 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u) / w). [hyper(240,a,16269,a,b,17652,a(flip)),flip(a)]. given #15913 (H,wt=19): 17654 K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),w). [hyper(240,a,15095,a,b,17638,a)]. given #15914 (H,wt=20): 17628 K(x,y) * (K(z,u) * x) != w | K(z,u) * T(x,y) = w. [para(17604(a,1),5950(a,1))]. given #15915 (H,wt=20): 17651 K(x,y * (z \ K(z,u))) != w | K(x,y / T(z,u)) = w. [para(17631(a,1),15187(a,1))]. given #15916 (H,wt=21): 17555 (x * (K(y,z) * K(u,w))) * 1 = (x * K(u,w)) * K(y,z). [para(17549(a,1),15061(a,1,2))]. given #15917 (H,wt=19): 17661 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(86,a,17555,a),flip(a)]. given #15918 (H,wt=19): 17664 (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). [hyper(13808,a,17661,a)]. given #15919 (H,wt=21): 17600 K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(5929(a,1),17561(a,1,2,1)),flip(a)]. given #15920 (H,wt=21): 17601 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [para(7104(a,1),17561(a,1,2,1)),flip(a)]. given #15921 (H,wt=21): 17603 K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). [para(14083(a,1),17561(a,1,2,1)),flip(a)]. given #15922 (H,wt=21): 17616 T(x,(y / z) * K(u,T(w,z))) = T(x,y / (z * K(w,u))). [para(7640(a,1),17581(a,1,2,2)),flip(a)]. given #15923 (H,wt=19): 17678 T(x,y / (z * K(u,w))) = T(x,K(u,w) * (y / z)). [hyper(15324,a,17616,a),flip(a)]. given #15924 (H,wt=19): 17681 T(x,(y * K(z,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(240,a,16117,a,b,17678,a(flip)),flip(a)]. given #15925 (H,wt=21): 17621 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(5078(a,1),17598(a,1,2,1)),flip(a)]. given #15926 (H,wt=21): 17630 K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. [para(13715(a,1),17604(a,1,1)),flip(a)]. given #15927 (H,wt=21): 17632 K(x,y * (K(z,u) * (w \ 1))) = K(x,(y / w) * K(z,u)). [hyper(240,a,15414,a,b,17611,a),flip(a)]. given #15928 (H,wt=21): 17636 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [para(5929(a,1),17614(a,1,2,1)),flip(a)]. given #15929 (H,wt=21): 17642 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [para(4815(a,1),17619(a,1,2,1)),flip(a)]. given #15930 (H,wt=21): 17643 K(x,K(y,z) * ((z \ u) \ w)) = K(x,(T(z,y) \ u) \ w). [para(5078(a,1),17619(a,1,2,1)),flip(a)]. given #15931 (H,wt=21): 17648 K(x,K(y,z) * (u \ (w \ y))) = K(x,u \ (w \ T(y,z))). [para(14083(a,1),17620(a,1,2,2)),flip(a)]. given #15932 (H,wt=17): 17690 K(x,y \ (z \ T(u,z))) = K(x,y \ (u / z)). [hyper(240,a,16569,a(flip),b,17648,a(flip))]. given #15933 (H,wt=21): 17650 K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). [hyper(240,a,13699,a(flip),b,17631,a)]. given #15934 (H,wt=21): 17656 K(x,K(y,z) * (u \ (w \ z))) = K(x,u \ (w \ T(z,y))). [para(14083(a,1),17641(a,1,2,2)),flip(a)]. given #15935 (H,wt=21): 17658 K(K(x,y) * (z / (u / y)),w) = K(z / (u / T(y,x)),w). [para(7104(a,1),17654(a,1,1,2)),flip(a)]. given #15936 (H,wt=17): 17692 K(x / (y / T(z,y)),u) = K(x / (z \ y),u). [hyper(240,a,15134,a(flip),b,17658,a(flip))]. given #15937 (H,wt=21): 17673 K(x,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [hyper(14594,a,17600,a)]. given #15938 (H,wt=21): 17674 K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,w)) \ u). [hyper(15147,a,17601,a)]. given #15939 (H,wt=21): 17675 K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [hyper(14594,a,17601,a)]. given #15940 (H,wt=21): 17676 K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). [hyper(14910,a,17603,a)]. given #15941 (H,wt=21): 17680 T(x,y / (z * K(u,u \ w))) = T(x,K(w,u) * (y / z)). [hyper(240,a,14586,a(flip),b,17678,a)]. given #15942 (H,wt=19): 17696 T(x,y / (z * K(u,u \ z))) = T(x,y / T(z,u)). [hyper(240,a,15046,a(flip),b,17680,a)]. given #15943 (H,wt=17): 17697 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [para(4976(a,1),17696(a,1,2,2))]. given #15944 (H,wt=19): 17698 T(x,y / T(z * u,z)) = T(x,y / (T(z,u) * u)). [hyper(240,a,14545,a,b,17697,a(flip))]. given #15945 (H,wt=17): 17699 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [hyper(240,a,17091,a(flip),b,17698,a)]. given #15946 (H,wt=21): 17683 T(x,(y * K(z \ 1,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(240,a,16618,a(flip),b,17681,a)]. given #15947 (H,wt=19): 17701 T(x,(y * K(z \ 1,u)) / z) = T(x,y / T(z,u)). [hyper(240,a,14945,a(flip),b,17683,a)]. given #15948 (H,wt=17): 17702 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [hyper(240,a,13756,a(flip),b,17701,a(flip)),flip(a)]. given #15949 (H,wt=19): 17704 K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). [para(17702(a,1),4750(a,2,2))]. given #15950 (H,wt=17): 17706 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(240,a,4750,a,b,17704,a)]. given #15951 (H,wt=17): 17707 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [hyper(5627,a,17706,a),flip(a)]. given #15952 (H,wt=19): 17708 K(T(x \ 1,y) \ z,u) = K(z * T(x,y),T(u,x)). [hyper(15186,a,17707,a)]. given #15953 (H,wt=17): 17709 K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). [hyper(240,a,14921,a(flip),b,17708,a)]. given #15954 (H,wt=17): 17710 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(5629,a,17709,a),flip(a)]. given #15955 (H,wt=21): 17685 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(15147,a,17621,a)]. given #15956 (H,wt=21): 17686 K(x,((y \ z) \ u) * K(y,w)) = K(x,(T(y,w) \ z) \ u). [hyper(14910,a,17621,a)]. given #15957 (H,wt=21): 17687 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(17630(a,1),16401(a,1,2))]. given #15958 (H,wt=22): 17589 K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),w) = v5. [para(17216(a,1),17586(a,1,1))]. given #15959 (H,wt=19): 17716 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(17589,a,14150,a)]. given #15960 (H,wt=19): 17719 K(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). [hyper(15168,a,17716,a)]. given #15961 (H,wt=21): 17720 K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). [hyper(240,a,14169,a(flip),b,17719,a)]. given #15962 (H,wt=21): 17721 K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). [hyper(15151,a,17720,a)]. given #15963 (H,wt=21): 17722 K(x * ((y \ z) \ K(u,y)),w) = K(x / (T(y,u) \ z),w). [hyper(240,a,17719,a(flip),b,17721,a(flip)),flip(a)]. given #15964 (H,wt=22): 17590 K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. [para(6672(a,1),17587(a,1))]. given #15965 (H,wt=19): 17724 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(17590,a,17620,a)]. given #15966 (H,wt=19): 17725 K(x,K(y,z) * ((u * w) \ u)) = K(x,w \ K(y,z)). [para(13(a,1),17724(a,1,2,1)),flip(a)]. given #15967 (H,wt=19): 17727 K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). [hyper(240,a,17618,a,b,17725,a(flip)),flip(a)]. given #15968 (H,wt=19): 17728 K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). [hyper(240,a,17457,a(flip),b,17727,a(flip)),flip(a)]. given #15969 (H,wt=19): 17729 K(x,(K(y,z) * u) / w) = K(x,(w / u) \ K(y,z)). [hyper(16586,a,17728,a)]. given #15970 (H,wt=20): 17726 K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). [hyper(14611,a,17725,a)]. given #15971 (H,wt=22): 17591 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(5202(a,1),17588(a,1,2))]. given #15972 (H,wt=22): 17609 (K(x,y) * K(z,u)) * w != v5 | K(z,u) * (K(x,y) * w) = v5. [para(17562(a,2),16317(a,1))]. given #15973 (H,wt=22): 17625 K(x,K(y,z) * (u \ w)) != v5 | K(x,u \ (K(y,z) * w)) = v5. [para(17598(a,1),16140(a,1))]. given #15974 (H,wt=22): 17635 K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. [para(17611(a,1),14931(a,1))]. given #15975 (H,wt=22): 17644 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(17619(a,2),14594(a,1))]. given #15976 (H,wt=22): 17655 K(x / (y * K(z,u)),w) != v5 | K(K(z,u) * (x / y),w) = v5. [para(17638(a,2),15151(a,1))]. given #15977 (H,wt=22): 17657 K(x,y \ (z * K(u,w))) != v5 | K(x,K(u,w) * (y \ z)) = v5. [para(17641(a,2),14594(a,1))]. given #15978 (H,wt=22): 17659 K(x * y,z) * (y * x) != u | K(y,x) * T(x * y,z) = u. [para(4774(a,1),17628(a,1,2))]. given #15979 (H,wt=22): 17688 K(x,(y / z) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(17632(a,1),15300(a,1))]. given #15980 (H,wt=22): 17691 K(x,y \ (z \ T(u,K(w,v5)))) != v6 | K(x,y \ (z \ u)) = v6. [para(17648(a,1),15226(a,1))]. given #15981 (H,wt=22): 17717 K(x * (y \ K(z,L(u,w,v5))),v6) = K(K(u,z) * (x / y),v6). [hyper(16486,a,17716,a),flip(a)]. given #15982 (H,wt=22): 17733 K(x,T(y,z)) * u != w | K(z,K(y,x)) * (K(x,y) * u) = w. [para(6976(a,1),17609(a,1,1))]. given #15983 (H,wt=22): 17734 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(17563(a,2),17688(a,1))]. given #15984 (H,wt=22): 17735 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(17610(a,2),17688(a,1))]. given #15985 (H,wt=22): 17736 K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. [para(16583(a,2),17735(a,1))]. given #15986 (H,wt=22): 17737 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(16584(a,2),17735(a,1))]. given #15987 (H,wt=22): 17738 K(x,(y / z) \ K(u,w)) != v5 | K(x,z * (y \ K(u,w))) = v5. [para(17728(a,1),17735(a,1))]. given #15988 (H,wt=23): 17539 K(x \ (y * (z * K(u,w))),v5) = K(K(u,w) * (x \ (y * z)),v5). [hyper(240,a,16944,a(flip),b,17537,a(flip))]. given #15989 (H,wt=23): 17646 K(x,y \ T(z * K(u,w),u)) = K(x,K(u,w) * (y \ T(z,u))). [para(6877(a,2),17620(a,1,2,2))]. given #15990 (H,wt=23): 17677 K(x,K(y,T(z,u)) * ((w \ z) \ v5)) = K(x,(w \ T(z,y)) \ v5). [hyper(240,a,15232,a,b,17603,a(flip)),flip(a)]. given #15991 (H,wt=23): 17694 K(x,K(y,T(z,u)) * ((w * y) \ v5)) = K(x,(w * T(y,z)) \ v5). [hyper(240,a,15232,a,b,17673,a(flip)),flip(a)]. given #15992 (H,wt=21): 17743 K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). [hyper(240,a,17673,a(flip),b,17694,a(flip)),flip(a)]. given #15993 (H,wt=23): 17714 K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(15167,a,17685,a)]. given #15994 (H,wt=21): 17744 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [hyper(240,a,17685,a(flip),b,17714,a(flip)),flip(a)]. given #15995 (H,wt=23): 17718 K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). [hyper(15318,a,17716,a)]. given #15996 (H,wt=21): 17745 K(x * (y \ K(z,u / z)),w) = K((x / y) * K(u,z),w). [hyper(14620,a,17718,a),flip(a)]. given #15997 (H,wt=21): 17746 K(x * (y \ K(z,u / z)),w) = K(x * (y \ K(u,z)),w). [hyper(240,a,17716,a(flip),b,17745,a)]. given #15998 (H,wt=21): 17747 K(x * (y \ K(z,z \ u)),w) = K(x * (y \ K(u,z)),w). [para(4959(a,1),17746(a,1,1,2,2))]. given #15999 (H,wt=23): 17739 K(x \ (y * (z * K(u,w))),v5) = K(K(w,u) * (x \ (y * z)),v5). [hyper(240,a,15095,a,b,17539,a)]. given #16000 (H,wt=23): 17741 K(x,y \ ((z \ u) * T(z,w))) = K(x,K(z,w) * (y \ T(u,z))). [hyper(240,a,12828,a(flip),b,17646,a(flip)),flip(a)]. given #16001 (H,wt=24): 17647 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(17620(a,1),13780(a,1))]. given #16002 (H,wt=24): 17682 T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,K(u,z) * (y / w)). [hyper(240,a,14441,a,b,17678,a(flip)),flip(a)]. given #16003 (H,wt=25): 17623 K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). [para(5327(a,2),17598(a,1,2,1))]. given #16004 (H,wt=23): 17752 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [hyper(240,a,17643,a(flip),b,17623,a),flip(a)]. given #16005 (H,wt=21): 17753 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17744,a(flip),b,17752,a(flip))]. given #16006 (H,wt=17): 17754 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(65(a,1),17753(a,1,2,1)),flip(a)]. given #16007 (H,wt=21): 17755 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [hyper(240,a,16785,a(flip),b,17754,a(flip))]. given #16008 (H,wt=17): 17756 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(15310,a,17755,a),flip(a)]. given #16009 (H,wt=20): 17757 K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. [para(17755(a,1),15310(a,1))]. given #16010 (H,wt=20): 17759 K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. [para(3924(a,2),17757(a,1,2,2))]. given #16011 (H,wt=25): 17624 K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x / (K(w,u) * z)). [para(17598(a,1),15513(a,1,2))]. given #16012 (H,wt=25): 17637 T(x,K(y \ z,y) * ((u * z) \ w)) = T(x,(u * ((y \ z) * y)) \ w). [para(10032(a,1),17614(a,1,2,1)),flip(a)]. given #16013 (H,wt=23): 17761 T(x,(y * ((z \ u) * z)) \ w) = T(x,K(u,z) * ((y * u) \ w)). [hyper(14636,a,17637,a),flip(a)]. given #16014 (H,wt=21): 17762 T(x,(y * ((z \ u) * z)) \ w) = T(x,(y * T(u,z)) \ w). [hyper(240,a,17636,a(flip),b,17761,a)]. given #16015 (H,wt=25): 17695 K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). [para(7142(a,1),17675(a,1,2,1))]. given #16016 (H,wt=23): 17763 K(x,(y / T(z,T(u,w))) \ v5) = K(x,((y / z) \ v5) * K(u,z)). [hyper(15284,a,17695,a),flip(a)]. given #16017 (H,wt=21): 17765 K(x,(y / T(z,T(u,w))) \ v5) = K(x,(y / T(z,u)) \ v5). [hyper(240,a,17674,a(flip),b,17763,a)]. given #16018 (H,wt=25): 17711 K(T(x \ y,z) * u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(240,a,14062,a(flip),b,17709,a(flip))]. given #16019 (H,wt=25): 17723 K(x,y * ((z \ u) \ K(w,z))) = v5 / (K(y / (T(z,w) \ u),x) * v5). [para(17722(a,1),5184(a,1,2,1)),flip(a)]. given #16020 (H,wt=21): 17767 K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). [hyper(240,a,16328,a(flip),b,17723,a)]. given #16021 (H,wt=24): 17768 K(x,y / (T(z,u) \ w)) != v5 | K(x,K(u,z) * (y / (z \ w))) = v5. [para(17767(a,1),17635(a,1))]. given #16022 (H,wt=25): 17731 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,y \ z)). [para(5055(a,2),17729(a,1,2,1))]. given #16023 (H,wt=23): 17769 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(240,a,12811,a(flip),b,17731,a)]. given #16024 (H,wt=23): 17770 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,u * (w \ K(y,z))). [hyper(17738,a,17769,a(flip)),flip(a)]. given #16025 (H,wt=21): 17771 K(x,(K(y,y \ z) * u) / w) = K(x,u * (w \ K(y,z))). [para(5055(a,1),17770(a,1,2,1))]. given #16026 (H,wt=21): 17772 K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). [hyper(17736,a,17771,a)]. given #16027 (H,wt=23): 17773 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,u))). [hyper(240,a,17038,a(flip),b,17772,a(flip)),flip(a)]. given #16028 (H,wt=25): 17732 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(z \ y,z)). [para(5379(a,2),17729(a,1,2,1))]. given #16029 (H,wt=23): 17774 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(240,a,12807,a(flip),b,17732,a)]. given #16030 (H,wt=23): 17775 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,u * (w \ K(y,z))). [hyper(17738,a,17774,a(flip)),flip(a)]. given #16031 (H,wt=21): 17776 K(x,(K(y \ z,y) * u) / w) = K(x,u * (w \ K(z,y))). [para(5379(a,1),17775(a,1,2,1))]. given #16032 (H,wt=21): 17777 K(x,y * (z \ K(u \ w,u))) = K(x,y * (z \ K(w,u))). [hyper(17736,a,17776,a)]. given #16033 (H,wt=19): 17778 K(x,y / (z * (u / z))) = K(x,y * (u \ K(u,z))). [hyper(13824,a,17777,a)]. given #16034 (H,wt=20): 17780 K(x,y / (z * (u / z))) != w | K(x,y / T(u,z)) = w. [para(17778(a,2),17651(a,1))]. given #16035 (H,wt=25): 17748 K(x * (((y / z) \ 1) \ K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). [hyper(240,a,14223,a(flip),b,17747,a(flip))]. given #16036 (H,wt=23): 17781 K(x * (y / ((z \ u) * z)),w) = K(x * ((y / u) * K(u,z)),w). [hyper(14222,a,17748,a),flip(a)]. given #16037 (H,wt=21): 17782 K(x * (y / ((z \ u) * z)),w) = K(x * (y / T(u,z)),w). [hyper(240,a,16457,a(flip),b,17781,a)]. given #16038 (H,wt=25): 17760 K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x * (z \ K(u,w))). [hyper(240,a,14164,a(flip),b,17624,a)]. given #16039 (H,wt=25): 17779 K(x,y * (((z / u) \ w) \ K(z,u))) = K(x,y * (((u \ z) \ w) \ 1)). [para(14156(a,1),17777(a,1,2,2)),flip(a)]. given #16040 (H,wt=25): 17783 K(x * (T(y,T(z,u)) / T(z,u)),w) = K(x * (((u \ z) * u) \ y),w). [hyper(12793,a,17782,a),flip(a)]. given #16041 (H,wt=21): 17786 K(x * (((y \ z) * y) \ u),w) = K(x * (T(z,y) \ u),w). [hyper(12792,a,17783,a),flip(a)]. given #16042 (H,wt=21): 17787 K(x * (T(y,z) \ u),z \ y) = K(x * (y \ u),z \ y). [hyper(240,a,9668,a(flip),b,17786,a(flip))]. given #16043 (H,wt=21): 17788 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [para(13(a,1),17786(a,1,1,2,1,1)),flip(a)]. given #16044 (H,wt=23): 17790 K(x * (T(y * z,y) \ u),T(w,x)) = K(((z * y) \ u) * x,w). [hyper(240,a,10329,a(flip),b,17788,a)]. given #16045 (H,wt=21): 17791 K((T(x * y,x) \ z) * u,w) = K(((y * x) \ z) * u,w). [hyper(10346,a,17790,a)]. given #16046 (H,wt=21): 17792 K((((x \ y) * x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [para(14(a,1),17791(a,1,1,1,1,1)),flip(a)]. given #16047 (H,wt=23): 17794 K(((x \ y) * T(x,z)) \ u,w) = K((T(y,x) \ u) * K(z,x),w). [hyper(240,a,16970,a(flip),b,17792,a(flip)),flip(a)]. given #16048 (H,wt=25): 17784 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y * (z \ K(u,w))). [para(7487(a,1),17760(a,1,1))]. given #16049 (H,wt=19): 17795 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(17,a,15514,a,b,17784,a),flip(a)]. given #16050 (H,wt=23): 17796 x / (K(y,K(z,u) * (w \ v5)) * x) = K((w \ K(z,u)) * v5,y). [para(17795(a,1),5184(a,1,2,1))]. given #16051 (H,wt=19): 17797 K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). [hyper(16329,a,17796,a),flip(a)]. given #16052 (H,wt=21): 17799 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(x,y)),w). [hyper(10338,a,17797,a),flip(a)]. given #16053 (H,wt=19): 17801 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(16959,a,17799,a)]. given #16054 (H,wt=22): 17798 K((x \ K(y,z)) * u,w) != v5 | K(K(y,z) * (x \ u),w) = v5. [para(17796(a,1),5194(a,1))]. given #16055 (H,wt=24): 17800 K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(x,y)),w) = v5. [para(17797(a,1),10338(a,1))]. given #16056 (H,wt=24): 17804 K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * ((1 / x) \ u),w) = v5. [para(13583(a,1),17798(a,1,1,1))]. given #16057 (H,wt=21): 17805 K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). [hyper(17804,a,16455,a)]. given #16058 (H,wt=23): 17806 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(17076,a,17805,a)]. given #16059 (H,wt=21): 17807 K((x \ K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [para(13577(a,1),17806(a,1,1,1))]. given #16060 (H,wt=21): 17808 K(x * (y * K(z,z \ u)),w) = K(x * (y * K(z,u)),w). [hyper(240,a,17003,a(flip),b,17807,a(flip)),flip(a)]. given #16061 (H,wt=25): 17789 K(x \ y,z * (T(y,x) \ u)) = w / (K(z * (y \ u),x \ y) * w). [para(17787(a,1),5184(a,1,2,1)),flip(a)]. given #16062 (H,wt=21): 17810 K(x \ y,z * (T(y,x) \ u)) = K(x \ y,z * (y \ u)). [hyper(240,a,16328,a(flip),b,17789,a)]. given #16063 (H,wt=25): 17793 K(x,(T(y * z,y) \ u) * w) = v5 / (K(((z * y) \ u) * w,x) * v5). [para(17791(a,1),5184(a,1,2,1)),flip(a)]. given #16064 (H,wt=21): 17811 K(x,(T(y * z,y) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(240,a,16328,a(flip),b,17793,a)]. given #16065 (H,wt=24): 17812 K(x,(T(y * z,y) \ u) * w) != v5 | K(x,((z * y) \ u) * w) = v5. [para(17793(a,2),5194(a,1))]. given #16066 (H,wt=25): 17802 K(x * ((T(y,z) / u) \ K(y,w)),v5) = K(x / (T(T(y,w),z) / u),v5). [hyper(240,a,17079,a(flip),b,17799,a(flip))]. given #16067 (H,wt=26): 17572 (K(x,y) * K(z,u)) * w != v5 * v6 | (K(x,y) * (K(z,u) * w)) / v6 = v5. [para(17564(a,1),529(a,1,2))]. given #16068 (H,wt=26): 17640 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(14459(a,1),17618(a,1,2,2)),flip(a)]. given #16069 (H,wt=23): 17814 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(17687,a,17640,a),flip(a)]. given #16070 (H,wt=23): 17816 K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(u,w) * (y \ (z * v5))). [hyper(240,a,16291,a(flip),b,17814,a(flip)),flip(a)]. given #16071 (H,wt=25): 17817 K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * ((w * K(y,z)) * v5)). [hyper(13780,a,17816,a),flip(a)]. given #16072 (H,wt=23): 17818 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * ((z * v5) * K(u,w))). [hyper(17647,a,17817,a),flip(a)]. given #16073 (H,wt=23): 17819 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). [hyper(240,a,16412,a(flip),b,17818,a)]. given #16074 (H,wt=25): 17820 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * (u * (K(w,v5) * z))). [hyper(240,a,15622,a(flip),b,17819,a(flip))]. given #16075 (H,wt=23): 17821 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). [hyper(240,a,17119,a(flip),b,17820,a(flip)),flip(a)]. given #16076 (H,wt=26): 17749 K(x \ (y * (z * K(u,w))),v5) != v6 | K(K(u,w) * (x \ (y * z)),v5) = v6. [para(17739(a,2),15151(a,1))]. given #16077 (H,wt=26): 17785 K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ w)) = v5. [para(17779(a,2),13799(a,1))]. given #16078 (H,wt=26): 17803 K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). [hyper(240,a,16111,a(flip),b,17801,a(flip))]. given #16079 (H,wt=23): 17823 K(x / (y * (z * K(u,w))),v5) = K(K(u,w) * (x / (y * z)),v5). [hyper(240,a,17717,a(flip),b,17803,a(flip))]. given #16080 (H,wt=27): 17742 K(x,K(y,T(T(z,u),w)) * ((v5 \ z) \ v6)) = K(x,(v5 \ T(z,T(y,w))) \ v6). [para(7142(a,1),17677(a,1,2,1))]. given #16081 (H,wt=25): 17826 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,T(z,v6))). [hyper(15284,a,17742,a),flip(a)]. given #16082 (H,wt=23): 17828 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(240,a,15235,a(flip),b,17826,a)]. given #16083 (H,wt=21): 17829 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(240,a,17676,a(flip),b,17828,a)]. given #16084 (H,wt=27): 17758 K(x,y / (T(z,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). [para(14941(a,1),17756(a,1,2,2,2))]. given #16085 (H,wt=25): 17832 K(x,y / (T(z,u) \ T(w,T(z,u)))) = K(x,y / (w / T(z,T(u,v5)))). [hyper(16516,a,17758,a)]. given #16086 (H,wt=21): 17833 K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). [hyper(17757,a,17832,a),flip(a)]. given #16087 (H,wt=25): 17834 K(x / (y / T(z,T(u,w))),v5) = v6 / (K(v5,x / (y / T(z,u))) * v6). [para(17833(a,1),5184(a,1,2,1)),flip(a)]. given #16088 (H,wt=21): 17835 K(x / (y / T(z,T(u,w))),v5) = K(x / (y / T(z,u)),v5). [hyper(240,a,16328,a(flip),b,17834,a)]. given #16089 (H,wt=24): 17836 K(x / (y / T(z,T(u,w))),v5) != v6 | K(x / (y / T(z,u)),v5) = v6. [para(17834(a,2),5194(a,1))]. given #16090 (H,wt=27): 17825 K(K(x,y) * (z / (u * w)),T(v5,u * w)) = K((u * (w * K(x,y))) \ z,v5). [hyper(240,a,15645,a(flip),b,17823,a(flip))]. given #16091 (H,wt=27): 17830 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(z \ u,z)). [para(10631(a,2),17828(a,1,2,1,2))]. given #16092 (H,wt=25): 17837 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(240,a,12892,a(flip),b,17830,a)]. given #16093 (H,wt=23): 17838 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(240,a,17676,a(flip),b,17837,a)]. given #16094 (H,wt=21): 17839 K(x,(y \ T(z / u,z)) \ w) = K(x,(y \ (u \ z)) \ w). [para(6314(a,1),17838(a,1,2,1,2)),flip(a)]. given #16095 (H,wt=29): 17715 K((x / y) * K(T(z,u),w),T(v5,K(z,w) * y)) = K((K(w,T(z,u)) * y) \ x,v5). [hyper(17589,a,15290,a)]. given #16096 (H,wt=29): 17813 K(x,(((y * K(z * y,u)) * z) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). [para(13658(a,1),17811(a,1,2,1,1,1)),flip(a)]. given #16097 (H,wt=25): 17842 K(x,(T(T(y * z,u),y) \ w) * v5) = K(x,(T(z * y,u) \ w) * v5). [para(13659(a,1),17813(a,1,2,1,1)),flip(a)]. given #16098 (H,wt=29): 17822 K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))) = K(x,y * ((z / T(u,K(w,v5))) * v6)). [para(14955(a,1),17821(a,1,2,2,1)),flip(a)]. given #16099 (H,wt=26): 17843 K(x,y * ((z / T(u,K(w,v5))) * v6)) != v7 | K(x,y * ((z / u) * v6)) = v7. [para(17822(a,1),16220(a,1))]. given #16100 (H,wt=29): 17841 K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). [para(7142(a,1),17715(a,1,1,2))]. given #16101 (H,wt=27): 17844 K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). [hyper(15700,a,17841,a),flip(a)]. given #16102 (H,wt=27): 17845 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(T(y,v5),x),w). [hyper(16976,a,17844,a),flip(a)]. given #16103 (H,wt=27): 17847 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(y,T(x,v5)),w). [para(7142(a,1),17845(a,2,1,2))]. given #16104 (H,wt=25): 17848 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K(K(x,y) * (u \ z),w). [hyper(240,a,15696,a(flip),b,17847,a)]. given #16105 (H,wt=21): 17849 K(K(x,y) * (z / u),T(w,u)) = K(K(x,y) * (u \ z),w). [hyper(15427,a,17848,a)]. given #16106 (H,wt=23): 17851 K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) * ((x * y) \ w),v5). [hyper(240,a,17825,a(flip),b,17849,a(flip)),flip(a)]. given #16107 (H,wt=27): 17852 x / (K(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ v5). [para(17851(a,1),5184(a,1,2,1))]. given #16108 (H,wt=23): 17853 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) * ((y * z) \ v5)). [hyper(16329,a,17852,a),flip(a)]. given #16109 (H,wt=30): 17660 K(x,y * (((1 / z) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(13650(a,1),17651(a,1,2,2,2))]. given #16110 (H,wt=30): 17700 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). [para(16830(a,1),17699(a,1,2,2))]. given #16111 (H,wt=30): 17854 K(x,K(y \ 1,y * z) * ((u * z) \ w)) = K(x,(u * T(z,L(y \ 1,y,z))) \ w). [hyper(240,a,17067,a(flip),b,17853,a(flip))]. given #16112 (H,wt=28): 17856 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,((y * z) \ w) * K(u,u * z)). [hyper(15148,a,17854,a),flip(a)]. given #16113 (H,wt=26): 17857 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,K(u,z) * ((y * z) \ w)). [hyper(240,a,15052,a(flip),b,17856,a)]. given #16114 (H,wt=24): 17858 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,(y * T(z,u)) \ w). [hyper(240,a,17600,a(flip),b,17857,a)]. given #16115 (H,wt=21): 17859 K(x,(y * T(z,u \ 1)) \ w) = K(x,(y * T(z,u)) \ w). [para(6099(a,1),17858(a,1,2,1,2))]. given #16116 (H,wt=29): 17862 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(17859(a,1),15665(a,1,1))]. given #16117 (H,wt=21): 17863 K(x,y / (z * T(u,1 / w))) = K(x,y / (z * T(u,w))). [hyper(240,a,15646,a(flip),b,17862,a(flip))]. given #16118 (H,wt=21): 17864 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). [para(62(a,1),17863(a,1,2,2,2,2)),flip(a)]. given #16119 (H,wt=30): 17855 K(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(5525(a,1),17660(a,1))]. given #16120 (H,wt=31): 17615 K(x * ((y * K(z,u)) \ w),T(v5,K(u,z) * (y \ w))) = K(((K(z,u) * y) \ w) * x,v5). [para(17580(a,1),16815(a,1,2))]. given #16121 (H,wt=27): 17865 K(x * ((y * K(z,u)) \ w),T(v5,y \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(15427,a,17615,a)]. given #16122 (H,wt=27): 17866 K(x * (y \ (K(z,u) * w)),T(v5,y \ w)) = K(((K(u,z) * y) \ w) * x,v5). [hyper(17182,a,17865,a)]. given #16123 (H,wt=27): 17868 K(x * (K(y,z) * (u \ w)),T(v5,u \ w)) = K(((K(z,y) * u) \ w) * x,v5). [hyper(240,a,17186,a(flip),b,17866,a(flip)),flip(a)]. given #16124 (H,wt=23): 17869 K(((K(x,y) * z) \ u) * w,v5) = K(K(y,x) * ((z \ u) * w),v5). [hyper(16491,a,17868,a),flip(a)]. given #16125 (H,wt=25): 17871 K(K(x,y) * (((z * y) \ u) * w),v5) = K(((z * T(y,x)) \ u) * w,v5). [hyper(240,a,16816,a(flip),b,17869,a(flip))]. given #16126 (H,wt=25): 17872 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * T(x,y)) \ u) * w,v5). [hyper(15151,a,17871,a)]. given #16127 (H,wt=29): 17870 K(K(x,x \ y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(240,a,16817,a(flip),b,17869,a(flip))]. given #16128 (H,wt=27): 17873 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(12733,a,17870,a)]. given #16129 (H,wt=25): 17874 K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y)) \ u) * w,v5). [hyper(240,a,17872,a(flip),b,17873,a(flip))]. given #16130 (H,wt=31): 17645 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(y,y \ z) * ((z \ u) \ w)). [hyper(240,a,16106,a,b,17620,a(flip)),flip(a)]. given #16131 (H,wt=29): 17875 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(z,y) * ((z \ u) \ w)). [hyper(240,a,14595,a(flip),b,17645,a)]. given #16132 (H,wt=27): 17876 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17621,a(flip),b,17875,a)]. given #16133 (H,wt=21): 17877 K(x,((y * (z / y)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(15258,a,17876,a)]. given #16134 (H,wt=28): 17879 K(x,(T(y * z,y) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [hyper(240,a,14020,a(flip),b,17877,a(flip))]. given #16135 (H,wt=31): 17712 K(x,K(T(y / z,u) * w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(17709(a,1),12788(a,1,2,1))]. given #16136 (H,wt=31): 17740 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). [para(9021(a,2),17539(a,1,1,2,2))]. given #16137 (H,wt=29): 17880 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z * u,z) * (x \ (y * u)),w). [hyper(240,a,15196,a(flip),b,17740,a)]. given #16138 (H,wt=27): 17881 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z,u) * (x \ (y * u)),w). [hyper(240,a,15099,a(flip),b,17880,a)]. given #16139 (H,wt=25): 17882 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(x \ (y * T(u,z)),w). [hyper(240,a,16995,a(flip),b,17881,a)]. given #16140 (H,wt=25): 17883 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (((z * u) \ z) \ z)),w). [hyper(240,a,14747,a,b,17882,a(flip))]. given #16141 (H,wt=23): 17884 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * (u * z)),w). [hyper(240,a,14746,a(flip),b,17883,a(flip))]. given #16142 (H,wt=23): 17885 K(x \ ((1 / y) * (y * z)),u) = K(x \ ((z * y) * (1 / y)),u). [para(6149(a,1),17884(a,1,1,2)),flip(a)]. given #16143 (H,wt=22): 17886 K(x \ ((y * z) * (1 / z)),u) = K(x \ L(y,z,z \ 1),u). [para(2709(a,1),17885(a,1,1,2)),flip(a)]. given #16144 (H,wt=22): 17887 K(x \ ((y * z) * (z \ 1)),u) = K(x \ L(y,z,z \ 1),u). [hyper(17055,a,17886,a)]. given #16145 (H,wt=21): 17888 K(x \ R(y,z,z \ 1),u) = K(x \ L(y,z,z \ 1),u). [para(203(a,1),17887(a,1,1,2))]. given #16146 (H,wt=25): 17889 K((1 / x) \ L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [hyper(240,a,13914,a(flip),b,17888,a(flip))]. given #16147 (H,wt=23): 17890 K(R(x,y,y \ 1) * T(z,x),u) = K(z * L(x,y,y \ 1),u). [hyper(13971,a,17889,a),flip(a)]. given #16148 (H,wt=21): 17891 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(13751(a,1),17890(a,1,1))]. given #16149 (H,wt=23): 17892 K(a(x,y,y \ 1),T(z,u)) = K((x \ 1) * L(x,y,y \ 1),z). [hyper(16305,a,17891,a)]. given #16150 (H,wt=21): 17893 K(a(x,y,y \ 1),T(z,u)) = K(x \ L(x,y,y \ 1),z). [hyper(240,a,13649,a(flip),b,17892,a)]. given #16151 (H,wt=19): 17894 K(x \ L(x,y,y \ 1),z) = a(x,y,K(y \ 1,z)). [hyper(16133,a,17893,a),flip(a)]. given #16152 (H,wt=12): 17895 K(x \ L(x,y,y \ 1),z) = 1. [hyper(240,a,10776,a(flip),b,17894,a)]. given #16153 (H,wt=14): 17897 T(x * 1,y \ L(y,z,z \ 1)) = x. [para(17895(a,1),4777(a,1,1,2))]. given #16154 (H,wt=12): 17898 T(x,y \ L(y,z,z \ 1)) = x. [para(12(a,1),17897(a,1,1))]. given #16155 (H,wt=12): 17899 T(x,a(y \ 1,y,z) \ 1) = x. [hyper(240,a,13209,a,b,17898,a(flip)),flip(a)]. given #16156 (H,wt=19): 17900 x * (a(y \ 1,y,z) \ 1) = a(y \ 1,y,z) \ x. [hyper(17296,a,17899,a)]. given #16157 (H,wt=21): 17901 (a(x \ 1,x,y) \ 1) * z = z * (a(x \ 1,x,y) \ 1). [hyper(2125,a,17899,a),flip(a)]. given #16158 (H,wt=19): 17902 (a(x \ 1,x,y) \ 1) * z = a(x \ 1,x,y) \ z. [hyper(240,a,17900,a(flip),b,17901,a)]. given #16159 (H,wt=19): 17903 (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. [hyper(73,a,13,a(flip),b,17902,a)]. given #16160 (H,wt=31): 17766 K(T(1 \ (x / y),z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(240,a,9467,a(flip),b,17711,a)]. given #16161 (H,wt=29): 17904 K(T(x / y,z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [para(51(a,1),17766(a,1,1,1,1))]. given #16162 (H,wt=27): 17905 K(T(x / y,z) * u,T(y / x,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(9468,a,17904,a)]. given #16163 (H,wt=25): 17906 K(T(x / y,z) * u,T(y / x,w)) = K((x / y) * u,T(y / x,w)). [para(51(a,1),17905(a,2,1,1))]. given #16164 (H,wt=23): 17907 K((x / y) * z,T(y / x,u)) = K((y \ x) * z,T(y / x,u)). [hyper(240,a,12748,a(flip),b,17906,a(flip))]. given #16165 (H,wt=25): 17908 K(T(x / y,z) * u,T(y / x,w)) = K((y \ x) * u,T(y / x,w)). [hyper(240,a,17906,a,b,17907,a(flip)),flip(a)]. given #16166 (H,wt=29): 17909 K(x,K((y \ z) * u,T(y / z,w)) * v5) = K(x,K(u,T((z / y) \ 1,w)) * v5). [para(17908(a,1),17712(a,1,2,1))]. given #16167 (H,wt=27): 17910 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,u / z)). [hyper(15284,a,17909,a),flip(a)]. given #16168 (H,wt=27): 17913 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,z \ u)). [hyper(240,a,15285,a(flip),b,17910,a)]. given #16169 (H,wt=25): 17914 K(x,K(y,T(z / u,w)) * v5) = K(x,v5 * K((z \ u) * y,u \ z)). [para(9467(a,1),17913(a,1,2,1))]. given #16170 (H,wt=23): 17915 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,z / u)). [hyper(15284,a,17914,a),flip(a)]. given #16171 (H,wt=23): 17916 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,u \ z)). [hyper(240,a,15285,a(flip),b,17915,a)]. given #16172 (H,wt=23): 17917 K(x,K(y \ z,(z \ y) * u) * w) = K(x,w * K(u,y \ z)). [hyper(15056,a,17916,a)]. given #16173 (H,wt=31): 17831 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). [para(13526(a,2),17828(a,1,2,1,2))]. given #16174 (H,wt=27): 17918 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,K(u,z) * ((y \ z) \ v6)). [hyper(240,a,15763,a(flip),b,17831,a)]. given #16175 (H,wt=25): 17920 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,(y \ T(z,u)) \ v6). [hyper(240,a,17603,a(flip),b,17918,a)]. given #16176 (H,wt=25): 17921 K(x,(y \ T(z,T(K(u,w) * v5,w))) \ v6) = K(x,(y \ T(z,v5)) \ v6). [para(13526(a,1),17920(a,1,2,1,2))]. given #16177 (H,wt=23): 17922 K(x,(y \ T(z,K(u,w) * v5)) \ v6) = K(x,(y \ T(z,v5)) \ v6). [hyper(240,a,17829,a(flip),b,17921,a(flip)),flip(a)]. given #16178 (H,wt=31): 17924 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,K(y,z \ u)) * K(x,(z \ T(u,v6)) \ y). [para(17922(a,1),15539(a,1,2)),flip(a)]. given #16179 (H,wt=23): 17925 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,y / (z \ T(u,v6))). [hyper(240,a,15539,a(flip),b,17924,a)]. given #16180 (H,wt=25): 17926 K(x,y / (z \ T(K(u,w) * v5,v5))) = K(x,y / (z \ (K(u,w) * v5))). [para(121(a,1),17925(a,1,2,2,2)),flip(a)]. given #16181 (H,wt=23): 17927 K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ (v5 * K(u,w)))). [para(12835(a,1),17926(a,1,2,2,2)),flip(a)]. given #16182 (H,wt=32): 17599 x * K(y * K(z,u),K(u,z) * (y \ x)) != w | (y * K(z,u)) * (x / (y * K(z,u))) = w. [para(17561(a,1),5138(a,1,2))]. given #16183 (H,wt=27): 17928 (K(x,y) * z) * (u / (K(x,y) * z)) = (z * K(x,y)) * (u / (z * K(x,y))). [hyper(17599,a,15677,a),flip(a)]. given #16184 (H,wt=25): 17930 (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). [para(13582(a,1),17928(a,2,2))]. given #16185 (H,wt=25): 17931 (K(x,y) * z) * ((K(x,y) / z) * K(y,x)) = (z * K(x,y)) * (1 / z). [para(16334(a,1),17930(a,1,2))]. given #16186 (H,wt=23): 17932 (K(x,y) * z) * T(1 / z,K(x,y)) = (z * K(x,y)) * (1 / z). [para(14138(a,1),17931(a,1,2))]. given #16187 (H,wt=17): 17933 (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). [hyper(17444,a,17932,a),flip(a)]. given #16188 (H,wt=19): 17934 K(x,y) * K(z,z \ K(y,x)) = z * (K(x,y) / z). [hyper(15145,a,17933,a)]. given #16189 (H,wt=27): 17929 (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). [hyper(240,a,17432,a(flip),b,17928,a(flip))]. given #16190 (H,wt=32): 17705 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) \ 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). [para(17254(a,1),17702(a,2,2,2))]. given #16191 (H,wt=33): 17750 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * (T(y * z,x) * K(z,v5))),v6). [para(15120(a,1),17739(a,1,1,2,2)),flip(a)]. given #16192 (H,wt=33): 17936 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(K(z,v5) * (u \ (w * T(y * z,x))),v6). [hyper(240,a,17539,a(flip),b,17750,a)]. given #16193 (H,wt=29): 17937 K(K(x,y) * (z \ (u * T(w * x,v5))),v6) = K(z \ (u * T(w * T(x,y),v5)),v6). [hyper(240,a,16997,a(flip),b,17936,a(flip))]. given #16194 (H,wt=33): 17938 K(K(x,y) * (z \ T((u * x) * w,K(w,v5))),v6) = K(z \ (w * T(u * T(x,y),T(w,v5))),v6). [para(6178(a,2),17937(a,1,1,2,2))]. given #16195 (H,wt=29): 17939 K(x \ (y * T(z * T(u,w),T(y,v5))),v6) = K(K(u,w) * (x \ ((z * u) * y)),v6). [hyper(15316,a,17938,a),flip(a)]. given #16196 (H,wt=25): 17940 K(K(x,y) * (z \ ((u * x) * w)),v5) = K(z \ ((u * T(x,y)) * w),v5). [para(3927(a,1),17939(a,1,1,2)),flip(a)]. given #16197 (H,wt=25): 17941 K(K(x,y) * (z \ ((u * y) * w)),v5) = K(z \ ((u * T(y,x)) * w),v5). [hyper(15151,a,17940,a)]. given #16198 (H,wt=25): 17942 K(x \ (((y / z) * T(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). [para(16(a,1),17941(a,1,1,2,2,1)),flip(a)]. given #16199 (H,wt=23): 17943 K(x \ ((y * K(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). [para(5928(a,1),17942(a,1,1,2,1))]. given #16200 (H,wt=30): 17944 K(K(x,y) * (((z * K(y,x)) * u) \ (z * (u * w))),v5) = K(L(w,u,z * K(y,x)),v5). [para(28(a,2),17943(a,1,1)),flip(a)]. given #16201 (H,wt=22): 17945 K(L(x,y,z * K(u,w)),v5) = K((z * y) \ (z * (y * x)),v5). [hyper(240,a,17070,a(flip),b,17944,a(flip))]. given #16202 (H,wt=17): 17947 K(L(x,y,z * K(u,w)),v5) = K(L(x,y,z),v5). [para(28(a,2),17945(a,2,1))]. given #16203 (H,wt=17): 17948 K(x,L(y,z,u * K(w,v5))) = K(L(x,z,u),y). [hyper(11312,a,17947,a)]. given #16204 (H,wt=17): 17949 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(240,a,11309,a(flip),b,17948,a)]. given #16205 (H,wt=17): 17951 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(6988(a,1),17949(a,1,2,3))]. given #16206 (H,wt=19): 17950 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). [para(1327(a,1),17949(a,1,2,3))]. given #16207 (H,wt=21): 17952 a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). [para(17949(a,1),13602(a,1,2)),flip(a)]. given #16208 (H,wt=17): 17956 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(240,a,13602,a(flip),b,17952,a)]. given #16209 (H,wt=17): 17957 a(x,y,K(z * K(u,w),v5)) = a(v5,y,K(x,z)). [hyper(240,a,13563,a(flip),b,17956,a)]. given #16210 (H,wt=17): 17961 a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). [hyper(16205,a,17957,a)]. given #16211 (H,wt=19): 17958 a(x,y,K(T(z,u) \ w,v5)) = a(x,y,K(z \ w,v5)). [para(7399(a,1),17956(a,1,3,1))]. given #16212 (H,wt=19): 17962 a(x * K(y,z),u,K(w,v5)) = a(w * v5,u,K(v5,x)). [hyper(13890,a,17957,a)]. given #16213 (H,wt=17): 17966 a(x * K(y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(240,a,13607,a(flip),b,17962,a)]. given #16214 (H,wt=19): 17963 a(x,y,K(T(z,u) \ w,v5)) = a(v5,y,K(x,z \ w)). [para(7399(a,1),17957(a,1,3,1))]. given #16215 (H,wt=19): 17964 L(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)) * x. [para(17961(a,1),16828(a,1,1)),flip(a)]. given #16216 (H,wt=17): 17969 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [hyper(240,a,16841,a(flip),b,17964,a)]. given #16217 (H,wt=17): 17970 L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(u,z)). [hyper(240,a,17351,a(flip),b,17969,a(flip)),flip(a)]. given #16218 (H,wt=19): 17967 L(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)) * x. [para(17966(a,1),16841(a,1,1)),flip(a)]. given #16219 (H,wt=19): 17971 L(x,y,K(T(z,u) \ w,v5)) = L(x,y,K(z \ w,v5)). [para(5057(a,1),17969(a,1,3,1)),flip(a)]. given #16220 (H,wt=19): 17973 L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). [para(14725(a,1),17970(a,1,3))]. given #16221 (H,wt=20): 17974 L(x,y,K(z,u * K(w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(17967(a,2),16919(a,1))]. given #16222 (H,wt=21): 17954 K(K(x,y) * z,a(u,w,v5)) = K(u,v5) \ K(u,L(v5,w,z)). [hyper(73,a,17951,a(flip),b,13642,a),flip(a)]. given #16223 (H,wt=17): 17976 K(K(x,y) * z,a(u,w,v5)) = K(z,a(u,w,v5)). [hyper(240,a,13859,a(flip),b,17954,a)]. given #16224 (H,wt=17): 17977 K(x,a(K(y,z) * u,w,v5)) = K(u,a(v5,w,x)). [hyper(16166,a,17976,a)]. given #16225 (H,wt=21): 17965 a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). [para(124(a,1),17958(a,1,3,1,1)),flip(a)]. given #16226 (H,wt=21): 17968 L(x,y,K(T(z,u) \ w,v5)) = x * a(v5,y,K(x,z \ w)). [para(17963(a,1),16829(a,1,2)),flip(a)]. given #16227 (H,wt=21): 17979 a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). [hyper(13771,a,17965,a)]. given #16228 (H,wt=21): 17980 a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). [hyper(240,a,13563,a,b,17979,a)]. given #16229 (H,wt=23): 17975 L(x,(y * K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y * K(z,u))). [hyper(17974,a,16896,a)]. given #16230 (H,wt=22): 17981 L(x,(y * K(z,u)) * w,K(v5,y)) != v6 | L(x,w,K(v5,y)) = v6. [para(17975(a,2),17974(a,1))]. given #16231 (H,wt=25): 17953 K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. [para(17949(a,1),13802(a,1))]. given #16232 (H,wt=25): 17959 a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). [para(17956(a,1),11291(a,1,1))]. given #16233 (H,wt=26): 17955 K(x,L((y * K(z,u)) \ w,u,y \ u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,16175,a(flip),b,17950,a(flip))]. given #16234 (H,wt=27): 17978 K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(y,x))) = T(z * K(y,x),a(u,w,v5)). [para(17977(a,1),16189(a,1,2,1))]. given #16235 (H,wt=27): 17985 K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(x,y))) = T(z * K(y,x),a(u,w,v5)). [para(7560(a,1),17978(a,1,2,2))]. given #16236 (H,wt=25): 17987 K(x,y) \ T(T(z,K(x,y)),a(u,w,v5)) = T(z * K(y,x),a(u,w,v5)). [para(14904(a,1),17985(a,1,2))]. given #16237 (H,wt=25): 17988 K(x,y) * T(T(z,K(y,x)),a(u,w,v5)) = T(z * K(x,y),a(u,w,v5)). [hyper(5193,a,17987,a)]. given #16238 (H,wt=21): 17989 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(7572,a,17988,a),flip(a)]. given #16239 (H,wt=21): 17991 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(16824(a,2),17989(a,2,1))]. given #16240 (H,wt=24): 17992 L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = v6. [para(17991(a,1),16825(a,1))]. given #16241 (H,wt=28): 17960 a(x,y,K(z,u)) * K(u,z * K(w,v5)) != v6 | K(u,L(z * K(w,v5),y,x)) = v6. [para(17956(a,1),11298(a,1,1))]. given #16242 (H,wt=28): 17990 (T(x,a(y,z,u)) * K(w,v5)) / T(x,a(y,z,u)) = K(w,T(v5,a(y,z,u) * x)). [hyper(75,a,17989,a(flip),b,16749,a)]. given #16243 (H,wt=21): 17993 K(x,T(y,T(z,a(u,w,v5)))) = K(x,T(y,a(u,w,v5) * z)). [hyper(7593,a,17990,a)]. given #16244 (H,wt=16): 17994 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(14986,a,17993,a),flip(a)]. given #16245 (H,wt=16): 17995 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [hyper(14993,a,17994,a)]. given #16246 (H,wt=18): 17998 T(x,T(y,a(z,u,w) * v5)) = x * K(x,T(y,v5)). [para(17994(a,1),4800(a,2,2))]. given #16247 (H,wt=16): 18002 T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). [hyper(240,a,4800,a,b,17998,a)]. given #16248 (H,wt=19): 18000 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [para(13825(a,1),17994(a,1,2,2))]. given #16249 (H,wt=19): 18004 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (u * w))). [para(13825(a,1),18002(a,1,2,2))]. given #16250 (H,wt=19): 18008 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (w * u))). [hyper(240,a,17084,a(flip),b,18004,a(flip)),flip(a)]. given #16251 (H,wt=19): 18009 T(x,T(y,(z \ u) * w)) = T(x,T(y,z * (w * u))). [hyper(17087,a,18008,a)]. given #16252 (H,wt=20): 18001 K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). [hyper(240,a,7552,a,b,17995,a)]. given #16253 (H,wt=16): 18011 K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). [hyper(7865,a,18001,a)]. given #16254 (H,wt=22): 17996 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5)). [hyper(11312,a,17994,a)]. given #16255 (H,wt=23): 17999 (a(x,y,z) * u) * K(w,T(v5,u)) = K(w,v5) * (a(x,y,z) * u). [para(17994(a,1),6988(a,1,2))]. given #16256 (H,wt=21): 18014 (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). [hyper(240,a,16704,a(flip),b,17999,a(flip)),flip(a)]. given #16257 (H,wt=11): 18017 L(x,a(y,z,u),K(w,v5)) = x. [hyper(438,a,18014,a)]. given #16258 (H,wt=11): 18019 K(a(x,a(y,z,u),w),v5) = 1. [hyper(74,a,18014,a(flip),b,13841,a),flip(a)]. given #16259 (H,wt=11): 18020 T(x,a(y,a(z,u,w),v5)) = x. [hyper(16861,a,18017,a)]. given #16260 (H,wt=13): 18015 L(K(x,y),a(z,u,w),v5) = K(x,y). [hyper(14492,a,18014,a)]. given #16261 (H,wt=13): 18016 K(x,L(y,a(z,u,w),v5)) = K(x,y). [hyper(14487,a,18014,a)]. given #16262 (H,wt=17): 18024 T(a(x,a(y,z,u),w),v5) = a(x,a(y,z,u),w). [hyper(37,a,18019,a)]. given #16263 (H,wt=17): 18030 K(x,L(y,a(z,u,w),v5)) = (K(x,y) * v6) / v6. [hyper(240,a,15,a,b,18016,a)]. given #16264 (H,wt=16): 18033 K(x,L(y,a(z,u,w),v5)) != v6 | K(x,y) = v6. [para(18030(a,2),299(a,1)),flip(b)]. given #16265 (H,wt=17): 18031 K(x,L(y,R(z,u,u \ 1),z \ 1)) = K(x,y). [hyper(240,a,16353,a(flip),b,18016,a(flip)),flip(a)]. given #16266 (H,wt=19): 18021 x / a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) \ x. [hyper(16836,a,18017,a),flip(a)]. given #16267 (H,wt=19): 18022 a(x,a(y,z,u),w) * v5 = v5 * a(x,a(y,z,u),w). [para(18017(a,1),16835(a,1,2))]. given #16268 (H,wt=19): 18026 (a(x,a(y,z,u),w) \ v5) * a(x,a(y,z,u),w) = v5. [hyper(2123,a,18020,a)]. given #16269 (H,wt=20): 18029 K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). [hyper(11348,a,18016,a)]. given #16270 (H,wt=16): 18040 K(x \ a(y,x,x \ 1),z) = K(x \ 1,z). [hyper(16340,a,18029,a),flip(a)]. given #16271 (H,wt=20): 18036 K(x,L(y,R(z,u,u \ 1),z \ 1)) != w | K(x,y) = w. [para(16353(a,1),18033(a,1))]. given #16272 (H,wt=21): 18018 (a(x,y,z) * K(u,w)) * v5 = K(u,w) * (a(x,y,z) * v5). [hyper(240,a,16225,a(flip),b,18014,a(flip)),flip(a)]. given #16273 (H,wt=21): 18027 K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). [hyper(240,a,6672,a(flip),b,18015,a(flip))]. given #16274 (H,wt=21): 18032 K((x / y) / a(z,u,w),v5) = K(x / (a(z,u,w) * y),v5). [hyper(240,a,14465,a(flip),b,18016,a(flip))]. given #16275 (H,wt=21): 18042 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(17245,a,18018,a)]. given #16276 (H,wt=21): 18044 K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). [hyper(16236,a,18032,a),flip(a)]. given #16277 (H,wt=22): 18039 (a(x,a(y,z,u),w) \ v5) * a(x,a(y,z,u),w) != v6 | v6 = v5. [para(18021(a,1),226(a,1,1))]. given #16278 (H,wt=23): 18003 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) * v5) / y). [hyper(9187,a,18002,a),flip(a)]. given #16279 (H,wt=23): 18010 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,u * (w * z))). [hyper(240,a,15483,a,b,18009,a(flip)),flip(a)]. given #16280 (H,wt=19): 18047 T(x,T(y,(z / u) \ w)) = T(x,T(y,u * (w * z))). [hyper(14996,a,18010,a)]. given #16281 (H,wt=19): 18048 T(x,T(y,(z / u) * w)) = T(x,T(y,u * (w * z))). [hyper(14815,a,18047,a)]. given #16282 (H,wt=23): 18038 K(x,(y * z) \ R(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(240,a,17397,a(flip),b,18031,a(flip))]. given #16283 (H,wt=16): 18054 K(x,y \ a(z,y,y \ 1)) = K(x,y \ 1). [para(398(a,1),18038(a,1,2)),flip(a)]. given #16284 (H,wt=23): 18043 x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). [para(18027(a,1),4800(a,2,2)),flip(a)]. given #16285 (H,wt=21): 18057 T(x,(y \ z) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(4803,a,18043,a),flip(a)]. given #16286 (H,wt=23): 18045 K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). [hyper(240,a,14865,a,b,18042,a),flip(a)]. given #16287 (H,wt=16): 18059 K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). [hyper(18,a,7504,a,b,18045,a),flip(a)]. given #16288 (H,wt=16): 18060 K(x,K(y,a(z,u,w) * v5)) = K(x,K(v5,y)). [hyper(240,a,7487,a,b,18059,a)]. given #16289 (H,wt=16): 18062 K(x,K(y,z * a(u,w,v5))) = K(x,K(z,y)). [hyper(15083,a,18060,a)]. given #16290 (H,wt=16): 18063 K(x,K(y,z * a(u,w,v5))) = K(x,K(y,z)). [hyper(240,a,7507,a,b,18062,a)]. given #16291 (H,wt=18): 18061 T(x,K(y,a(z,u,w) * v5)) = x * K(v5,K(y,x)). [para(18059(a,1),7493(a,1,2)),flip(a)]. given #16292 (H,wt=16): 18066 T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). [hyper(240,a,7454,a(flip),b,18061,a)]. given #16293 (H,wt=16): 18068 T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). [hyper(15267,a,18066,a)]. given #16294 (H,wt=16): 18069 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,v5)). [hyper(240,a,15624,a,b,18066,a(flip)),flip(a)]. given #16295 (H,wt=16): 18071 T(x,K(y,z \ a(u,w,v5))) = T(x,K(y,z)). [hyper(240,a,15624,a,b,18068,a(flip)),flip(a)]. given #16296 (H,wt=16): 18073 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(v5,y)). [hyper(240,a,7560,a,b,18069,a)]. given #16297 (H,wt=19): 18064 K(x,K(y,z * a(u,w,v5))) != v6 | K(x,K(y,z)) = v6. [para(18062(a,2),7545(a,1))]. given #16298 (H,wt=19): 18065 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(94(a,1),18063(a,1,2,2))]. given #16299 (H,wt=19): 18067 T(x,K(y,a(z,u,w) * v5)) != v6 | T(x,K(y,v5)) = v6. [para(18061(a,2),7457(a,1))]. given #16300 (H,wt=19): 18078 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (w * u))). [hyper(240,a,15487,a,b,18065,a)]. given #16301 (H,wt=19): 18082 K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,w * u)). [para(14(a,1),18078(a,1,2,2,1)),flip(a)]. given #16302 (H,wt=20): 18081 K(x,K(y,z * (a(u,w,v5) * v6))) = K(x,K(y,z * v6)). [hyper(18064,a,18078,a),flip(a)]. given #16303 (H,wt=21): 18077 K(x,K(x * y,z * (u * w))) = K(x,K(y,(z * u) * w)). [hyper(7768,a,18065,a),flip(a)]. given #16304 (H,wt=22): 18076 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (u * w))) = v5. [para(94(a,1),18064(a,1,2,2))]. given #16305 (H,wt=22): 18080 T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,z * (u * w))) = v5. [para(13825(a,1),18067(a,1,2,2))]. given #16306 (H,wt=23): 18052 K(x,(y * z) \ L(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(17051,a,18038,a)]. given #16307 (H,wt=23): 18055 K(x,x \ 1) * a(y,x,x \ 1) = x * (a(y,x,x \ 1) / x). [para(18054(a,1),4818(a,1,1))]. given #16308 (H,wt=23): 18056 a(x,y,y \ 1) * K(y,y \ 1) = y * (a(x,y,y \ 1) / y). [para(18054(a,1),4976(a,1,2))]. given #16309 (H,wt=24): 18034 K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. [para(235(a,1),18033(a,1,2))]. given #16310 (H,wt=24): 18035 K((x * a(y,z,u)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ w),v5) = v6. [para(11318(a,1),18033(a,1))]. given #16311 (H,wt=21): 18087 K((a(x,y,z) * u) \ w,v5) = K(a(x,y,z) \ (u \ w),v5). [hyper(18035,a,16399,a(flip)),flip(a)]. given #16312 (H,wt=21): 18089 K((a(x,y,z) * (u \ 1)) \ 1,w) = K(a(x,y,z) \ u,w). [hyper(240,a,5267,a(flip),b,18087,a)]. given #16313 (H,wt=24): 18088 K((a(x,y,z) * u) \ w,v5) != v6 | K(a(x,y,z) \ (u \ w),v5) = v6. [para(16399(a,2),18035(a,1))]. given #16314 (H,wt=25): 18005 K(L(x,y,z),T(u,w * (v5 * v6))) = K(x,L(T(u,(w * v5) * v6),y,z)). [hyper(11312,a,18000,a),flip(a)]. given #16315 (H,wt=25): 18012 K(x * a(y,z,u),w) \ K(x,K(w,v5)) = K(w,T(x * a(y,z,u),v5)). [hyper(73,a,18011,a(flip),b,7512,a)]. given #16316 (H,wt=25): 18013 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) != v8 | K(x,L(T(y,v5),v6,v7)) = v8. [para(17996(a,2),11312(a,1))]. given #16317 (H,wt=25): 18028 K((x * (a(y,z,u) * x)) \ w,v5) = K((a(y,z,u) * x) \ (x \ w),v5). [hyper(14544,a,18016,a)]. given #16318 (H,wt=25): 18070 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / y). [para(18066(a,1),8910(a,1,1))]. given #16319 (H,wt=25): 18072 T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). [para(18068(a,1),15628(a,1,1))]. given #16320 (H,wt=25): 18074 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(z \ a(u,w,v5)) * y). [para(18071(a,1),10321(a,1,1))]. given #16321 (H,wt=25): 18075 T(T(x,K(y,z)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). [para(18073(a,1),8911(a,1,1))]. given #16322 (H,wt=25): 18084 (a(x,y,y \ 1) \ y) \ T(y,y \ 1) = y * (a(x,y,y \ 1) / y). [hyper(240,a,16267,a,b,18055,a(flip)),flip(a)]. given #16323 (H,wt=25): 18085 (x \ 1) * (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(18055(a,1),2765(a,1,2))]. given #16324 (H,wt=25): 18091 K((a(x,y,z) * (u \ 1)) \ K(w \ 1,w),v5) = K(a(x,y,z) \ u,v5). [hyper(6283,a,18089,a)]. given #16325 (H,wt=25): 18092 K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [hyper(11312,a,18005,a),flip(a)]. given #16326 (H,wt=25): 18095 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = y * (a(x,y,y \ 1) / y). [hyper(646,a,18084,a)]. given #16327 (H,wt=21): 18099 L(x,x \ 1,x * y) \ x = x * (a(y,x,x \ 1) / x). [hyper(240,a,17333,a(flip),b,18095,a(flip)),flip(a)]. given #16328 (H,wt=21): 18100 L(x,x \ 1,y * x) \ x = x * (a(y,x,x \ 1) / x). [para(10601(a,2),18099(a,1,1))]. given #16329 (H,wt=19): 18101 L(x,x \ 1,y * x) \ 1 = a(y,x,x \ 1) / x. [hyper(1309,a,18100,a)]. given #16330 (H,wt=19): 18102 a(x \ y,x,x \ 1) / x = L(x,x \ 1,y) \ 1. [para(10602(a,1),18101(a,1,1)),flip(a)]. given #16331 (H,wt=19): 18103 (L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1). [para(18102(a,1),16(a,1,1))]. given #16332 (H,wt=27): 18006 K(x * y,x) \ K(x * y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). [hyper(73,a,18000,a(flip),b,7860,a)]. given #16333 (H,wt=27): 18058 T(x,K(y \ z,y) * ((z / y) \ a(u,w,v5))) = T(x,z \ (y * a(u,w,v5))). [hyper(14644,a,18057,a)]. given #16334 (H,wt=25): 18107 T(x,((y * (z / y)) / y) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [para(5329(a,1),18058(a,1,2))]. given #16335 (H,wt=27): 18083 K(x,x * y) * K(x * y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). [hyper(240,a,7512,a,b,18077,a(flip)),flip(a)]. given #16336 (H,wt=28): 18023 a(x,y,z) * (((x * y) * z) \ ((y * x) * z)) = (x * (y * z)) \ ((y * x) * z). [para(18017(a,1),16657(a,1,1)),flip(a)]. given #16337 (H,wt=22): 18108 (x * (y * z)) \ ((y * x) * z) = a(x,y,z) * K(y,T(x,z)). [para(10072(a,1),18023(a,1,2)),flip(a)]. given #16338 (H,wt=28): 18086 (x * (a(y,x,x \ 1) / x)) \ 1 != z | a(y,x,x \ 1) \ K(x \ 1,x) = z. [para(18055(a,1),14148(a,1,1))]. given #16339 (H,wt=28): 18093 K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,z * (u * w)),v5,v6)) = v7. [para(18005(a,1),11312(a,1))]. given #16340 (H,wt=28): 18094 K((x * (a(y,z,u) * x)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ (x \ w)),v5) = v6. [para(18028(a,2),18088(a,1))]. given #16341 (H,wt=29): 18025 a(x,a(y,z,u),w) * K(v5,a(x,a(y,z,u),w)) = 1 / (a(x,a(y,z,u),w) \ 1). [para(18019(a,1),5215(a,1,2,2)),flip(a)]. given #16342 (H,wt=29): 18051 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(K(z,z \ u) * y) \ (z \ u)). [hyper(240,a,15737,a(flip),b,18048,a(flip))]. given #16343 (H,wt=29): 18079 K(x,K(y,z * (u * w))) * K(x,y * ((z * u) \ w)) = K(x,((z * u) \ w) * y). [para(18065(a,1),15399(a,1,1))]. given #16344 (H,wt=29): 18110 a(x,a(y,z,u),w) * K(a(y,z,u),T(x,w)) = K(a(y,z,u) * w,x) * K(x,w). [hyper(240,a,17246,a(flip),b,18108,a(flip))]. given #16345 (H,wt=29): 18113 a(x,a(y,z,u),w) * a(y,z,K(u,T(x,w))) = K(a(y,z,u) * w,x) * K(x,w). [para(13530(a,2),18110(a,1,2))]. given #16346 (H,wt=27): 18114 K(a(x,y,z) * u,w) * K(w,u) = a(w,a(x,y,z),u) * a(x,y,K(z,w)). [para(16194(a,1),18113(a,1,2)),flip(a)]. given #16347 (H,wt=30): 17982 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),y / x). [hyper(17953,a,16445,a),flip(a)]. given #16348 (H,wt=28): 18117 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * (y \ T(z,u)),y / x). [hyper(240,a,16458,a(flip),b,17982,a)]. given #16349 (H,wt=28): 18118 K(x * (y \ z),R(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [para(42(a,2),18117(a,1,2))]. given #16350 (H,wt=28): 18119 K(x * (y \ z),L(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [hyper(14443,a,18118,a)]. given #16351 (H,wt=26): 18120 K(x * (y \ T(z,u)),y / x) != w | K(x * (y \ z),T(y / x,u)) = w. [para(18119(a,1),13802(a,1))]. given #16352 (H,wt=30): 18090 K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) != v6 | K(w,L(v5,u,a(x,y,z))) = v6. [para(18087(a,1),11285(a,1))]. given #16353 (H,wt=31): 17983 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z \ u,z)). [para(6064(a,2),17959(a,2,2,1)),flip(a)]. given #16354 (H,wt=29): 18121 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,z)). [para(12892(a,1),17983(a,2,2))]. given #16355 (H,wt=25): 18122 K(x,L((y * (z \ u)) / (u / z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [hyper(240,a,17959,a(flip),b,18121,a)]. given #16356 (H,wt=23): 18123 K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(6064(a,1),18122(a,1,2,1))]. given #16357 (H,wt=28): 18124 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [hyper(240,a,14553,a(flip),b,18123,a(flip))]. given #16358 (H,wt=31): 18105 (L(x \ 1,(x \ 1) \ 1,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). [hyper(240,a,4703,a,b,18103,a)]. given #16359 (H,wt=27): 18125 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = (L(x \ 1,x,y) \ 1) * (x \ 1). [para(2545(a,1),18105(a,1,1,1)),flip(a)]. given #16360 (H,wt=25): 18126 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = L(x \ 1,x,y) \ (1 / x). [hyper(240,a,14191,a(flip),b,18125,a)]. given #16361 (H,wt=21): 18127 a((x \ 1) \ y,x \ 1,x) = L(x \ 1,x,y) \ (1 / x). [para(65(a,1),18126(a,1,3))]. given #16362 (H,wt=23): 18128 a((x \ 1) \ y,x \ 1,x) / (1 / x) = L(1 / x,x,y) \ 1. [hyper(75,a,18127,a,b,6730,a)]. given #16363 (H,wt=23): 18129 L(1 / x,x,y * (x \ 1)) \ 1 = a(y,x \ 1,x) / (1 / x). [para(17360(a,1),18128(a,1,1)),flip(a)]. given #16364 (H,wt=32): 18041 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(240,a,13524,a(flip),b,18040,a)]. given #16365 (H,wt=30): 18130 K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(153(a,1),18041(a,1,1,1,2))]. given #16366 (H,wt=28): 18131 K((x \ 1) \ a(y,x \ 1,(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(153(a,1),18130(a,1,1,2,2,2))]. given #16367 (H,wt=26): 18133 K((x \ 1) \ a(y,x \ 1,(x \ 1) \ 1),z) = K(K(u,1) * x,T(z,1)). [para(153(a,1),18131(a,1,1,2,3,1,2))]. given #16368 (H,wt=22): 18136 K((x \ 1) \ a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). [para(4701(a,1),18133(a,1,1,2))]. given #16369 (H,wt=20): 18137 K(K(x,1) * y,T(z,1)) = K(y * a(u,y \ 1,y),z). [hyper(13969,a,18136,a),flip(a)]. given #16370 (H,wt=16): 18138 K(x * a(y,x \ 1,x),z) = K(x,T(z,1)). [hyper(15097,a,18137,a),flip(a)]. given #16371 (H,wt=14): 18139 K(x * a(y,x \ 1,x),z) = K(x,z). [para(150(a,1),18138(a,2,2))]. given #16372 (H,wt=22): 18140 K(x,T(y * a(z,y \ 1,y),u)) = K(y,x) \ K(y,K(x,u)). [para(18139(a,1),18012(a,1,1)),flip(a)]. given #16373 (H,wt=22): 18141 K(x,T(y * a(z,y \ 1,y),u)) = K(x,y) * K(y,K(x,u)). [hyper(240,a,5183,a(flip),b,18140,a)]. given #16374 (H,wt=18): 18142 K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). [hyper(240,a,7527,a(flip),b,18141,a)]. given #16375 (H,wt=33): 18050 T(x,T(((y \ z) \ u) \ K(y \ z,y),y * (u * z))) = T(x,((y \ z) \ u) \ K(y \ z,y)). [hyper(240,a,14817,a(flip),b,18047,a(flip))]. given #16376 (H,wt=29): 18143 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(z \ u,z)). [hyper(240,a,14168,a(flip),b,18050,a(flip)),flip(a)]. given #16377 (H,wt=27): 18144 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(u,z)). [hyper(240,a,15182,a(flip),b,18143,a)]. given #16378 (H,wt=27): 18145 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(y \ (z \ u)) * K(u,z)). [hyper(240,a,17144,a(flip),b,18144,a)]. given #16379 (H,wt=25): 18146 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,y \ (T(z,u) \ u)). [hyper(240,a,17075,a(flip),b,18145,a)]. given #16380 (H,wt=23): 18147 T(x,(K(y,y \ z) * u) \ (y \ z)) = T(x,u \ (T(y,z) \ z)). [hyper(240,a,18051,a(flip),b,18146,a(flip)),flip(a)]. given #16381 (H,wt=19): 18148 T(x,y \ T(z \ u,z)) = T(x,y \ (T(z,u) \ u)). [para(13522(a,1),18147(a,1,2))]. given #16382 (H,wt=17): 18149 T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)). [hyper(14727,a,18148,a),flip(a)]. given #16383 (H,wt=19): 18150 T(x,(1 / y) \ (z / u)) = T(x,y * (T(u,z) \ z)). [hyper(13820,a,18149,a),flip(a)]. given #16384 (H,wt=17): 18151 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [hyper(13820,a,18150,a),flip(a)]. given #16385 (H,wt=26): 18152 T(x,y * (L(z,u,K(w,v5)) \ a(v5,u,w))) = T(x,y * (a(v5,u,w) / z)). [para(16824(a,2),18151(a,1,2,2,1))]. given #16386 (H,wt=33): 18097 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(4953(a,1),18092(a,1,2,1,2,1)),flip(a)]. given #16387 (H,wt=33): 18111 K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * T(u,v5)) \ w) * y). [para(15490(a,1),18079(a,1,1))]. given #16388 (H,wt=33): 18153 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(240,a,18092,a(flip),b,18097,a)]. given #16389 (H,wt=34): 17672 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(17661(a,1),17469(a,1,1))]. given #16390 (H,wt=23): 18154 x * (K(y,z) * K(u,u \ K(z,y))) = x / ((u \ K(z,y)) * u). [hyper(17570,a,17672,a),flip(a)]. given #16391 (H,wt=19): 18157 x / ((y \ K(z,u)) * y) = x * (y * (K(u,z) / y)). [para(17934(a,1),18154(a,1,2)),flip(a)]. given #16392 (H,wt=17): 18158 1 / (x * (K(y,z) / x)) = (x \ K(z,y)) * x. [hyper(431,a,18157,a)]. given #16393 (H,wt=17): 18159 (x \ 1) * (K(y,z) * x) = (x \ K(y,z)) * x. [hyper(240,a,17443,a(flip),b,18158,a(flip)),flip(a)]. given #16394 (H,wt=24): 18160 K(x,y) * L(z,z \ K(x,y),z) = z * ((z \ 1) * (K(x,y) * z)). [para(18159(a,2),435(a,2,2))]. given #16395 (H,wt=21): 18161 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) * (1 / (1 / x)). [para(14179(a,1),18160(a,1,2)),flip(a)]. given #16396 (H,wt=19): 18162 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) / (1 / x). [hyper(240,a,14129,a(flip),b,18161,a)]. given #16397 (H,wt=17): 18164 x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x). [para(18159(a,1),18162(a,1,2))]. given #16398 (H,wt=34): 18098 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(13825(a,1),18092(a,1,2,1,2,1)),flip(a)]. given #16399 (H,wt=34): 18165 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(240,a,18092,a(flip),b,18098,a)]. given #16400 (H,wt=34): 18166 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(240,a,18092,a(flip),b,18165,a)]. given #16401 (H,wt=29): 18167 K(x,L(T(y,(z * (u * w)) * v5),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(18013,a,18166,a)]. given #16402 (H,wt=29): 18168 K(x,L(T(y,z * ((u * w) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(18093,a,18167,a)]. given #16403 (H,wt=29): 18169 K(x,L(T(y,z * ((u \ w) * (u * v5))),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [hyper(240,a,15633,a(flip),b,18168,a(flip))]. given #16404 (H,wt=29): 18170 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),18169(a,1,2,1,2,2,2))]. given #16405 (H,wt=33): 18171 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(240,a,18153,a,b,18170,a(flip)),flip(a)]. given #16406 (H,wt=31): 18172 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),18171(a,2,2,1,2,2))]. given #16407 (H,wt=31): 18173 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(17613(a,1),18172(a,1,2,1))]. given #16408 (H,wt=25): 18174 K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [hyper(240,a,15482,a(flip),b,18173,a(flip)),flip(a)]. given #16409 (H,wt=25): 18175 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,w * (u \ z)),v5,v6)). [hyper(240,a,17063,a,b,18174,a(flip)),flip(a)]. given #16410 (H,wt=35): 17602 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(17561(a,1),10396(a,1,2,2))]. given #16411 (H,wt=31): 18177 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). [para(15492(a,1),17602(a,1,2))]. given #16412 (H,wt=35): 17689 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(9610(a,1),17642(a,1,2,2,1))]. given #16413 (H,wt=35): 17693 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(16912(a,1),17692(a,2,1,2))]. given #16414 (H,wt=35): 17713 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x \ 1,y) \ (z \ u)). [para(17710(a,1),13977(a,1,2)),flip(a)]. given #16415 (H,wt=35): 18116 K(x,K(y,z) * (u * (a(z,a(w,v5,v6),y) * a(w,v5,K(v6,z))))) = K(x,u * K(a(w,v5,v6) * y,z)). [para(18114(a,1),16438(a,1,2,2,2))]. given #16416 (H,wt=28): 18181 K(x,K(y,z) * (u * a(z,a(w,v5,v6),y))) = K(x,u * K(a(w,v5,v6) * y,z)). [hyper(240,a,16413,a(flip),b,18116,a(flip)),flip(a)]. given #16417 (H,wt=35): 18179 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(7451(a,1),17689(a,1,2,1))]. given #16418 (H,wt=27): 18183 K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(15226,a,18179,a),flip(a)]. given #16419 (H,wt=27): 18185 K(x,(K(y,T(y \ z,u)) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [para(6211(a,1),18183(a,1,2,1,1))]. given #16420 (H,wt=27): 18186 K(x,K(T(y \ z,u),y) * ((z \ w) \ v5)) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(17644,a,18185,a)]. given #16421 (H,wt=25): 18187 K(x,((y \ z) \ u) * K(w \ y,w)) = K(x,(((w \ y) * w) \ z) \ u). [para(7640(a,1),18186(a,1,2))]. given #16422 (H,wt=23): 18188 K(x,(((y \ z) * y) \ u) \ w) = K(x,((z \ u) \ w) * K(z,y)). [hyper(240,a,12892,a(flip),b,18187,a(flip))]. given #16423 (H,wt=21): 18189 K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17686,a(flip),b,18188,a)]. given #16424 (H,wt=21): 18190 K(x,(T(y * z,y) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(13(a,1),18189(a,1,2,1,1,1)),flip(a)]. given #16425 (H,wt=26): 18191 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) = a(T(z,y),y,K(x,y \ u)). [hyper(240,a,17879,a(flip),b,18190,a(flip))]. given #16426 (H,wt=35): 18180 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(16751(a,2),17693(a,1,1,2,2))]. given #16427 (H,wt=33): 18192 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(8312(a,1),18180(a,1,1,2,2))]. given #16428 (H,wt=31): 18193 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(17836,a,18192,a)]. given #16429 (H,wt=29): 18194 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(17836,a,18193,a)]. given #16430 (H,wt=29): 18196 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [hyper(240,a,17654,a(flip),b,18194,a)]. given #16431 (H,wt=29): 18198 K(x / (K(y,z) * (T(z,u) / T(w,z))),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [para(16911(a,1),18196(a,1,1,2))]. given #16432 (H,wt=29): 18199 K(x * ((T(y,z) / T(u,y)) \ K(y,w)),v5) = K(K(w,y) * (x / (u \ T(y,z))),v5). [hyper(240,a,14150,a(flip),b,18198,a(flip)),flip(a)]. given #16433 (H,wt=27): 18200 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(K(z,y) * (x / (w \ T(y,u))),v5). [hyper(240,a,17802,a(flip),b,18199,a(flip)),flip(a)]. given #16434 (H,wt=33): 18201 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(134(a,1),18200(a,1,1,2,1,1)),flip(a)]. given #16435 (H,wt=31): 18202 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(240,a,17835,a(flip),b,18201,a)]. given #16436 (H,wt=27): 18204 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(1 * (x / (w \ T(T(y,z),u))),v5). [para(207(a,1),18202(a,1,1,1)),flip(a)]. given #16437 (H,wt=25): 18205 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(x / (w \ T(T(y,z),u)),v5). [para(11(a,1),18204(a,2,1))]. given #16438 (H,wt=25): 18207 K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (u \ T(T(y,x),w)),v5). [hyper(240,a,18200,a(flip),b,18205,a(flip)),flip(a)]. given #16439 (H,wt=25): 18208 K(x * ((y \ T(z,u)) \ K(z,w)),v5) = K(x / (y \ T(T(z,w),u)),v5). [hyper(240,a,17719,a(flip),b,18207,a(flip)),flip(a)]. given #16440 (H,wt=36): 17649 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(17424(a,1),17622(a,1,2,2,1))]. given #16441 (H,wt=36): 17809 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(240,a,15357,a(flip),b,17808,a(flip)),flip(a)]. given #16442 (H,wt=32): 18210 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((y \ z) * (u * K(y,x)),w). [hyper(240,a,15243,a(flip),b,17809,a)]. given #16443 (H,wt=30): 18212 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((T(y,x) \ z) * u,w). [hyper(240,a,16456,a(flip),b,18210,a)]. given #16444 (H,wt=21): 18213 K(((x / (x / y)) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(16122,a,18212,a)]. given #16445 (H,wt=21): 18215 K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). [para(62(a,1),18213(a,1,1,1,1,2)),flip(a)]. given #16446 (H,wt=25): 18216 K(x,(T(y \ z,z) \ u) * w) = v5 / (K(((z / y) \ u) * w,x) * v5). [para(18215(a,1),5184(a,1,2,1)),flip(a)]. given #16447 (H,wt=21): 18217 K(x,(T(y \ z,z) \ u) * w) = K(x,((z / y) \ u) * w). [hyper(240,a,16328,a(flip),b,18216,a)]. given #16448 (H,wt=23): 18218 K(x,(T(y \ (z * y),z * y) \ u) * w) = K(x,(z \ u) * w). [para(15(a,1),18217(a,2,2,1,1))]. given #16449 (H,wt=21): 18219 K(x,(T(T(y,z),y * z) \ u) * w) = K(x,(y \ u) * w). [para(32(a,2),18218(a,1,2,1,1,1))]. given #16450 (H,wt=19): 18220 K(x,(T(T(y,z),z) \ u) * w) = K(x,(y \ u) * w). [hyper(240,a,12988,a(flip),b,18219,a(flip)),flip(a)]. given #16451 (H,wt=21): 18221 K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(240,a,17842,a(flip),b,18220,a(flip)),flip(a)]. given #16452 (H,wt=29): 18222 K(x,(T(a(y,z,y) \ u,y) \ w) * v5) = K(x,((y * (u / R(y,z,y))) \ w) * v5). [para(12124(a,1),18221(a,1,2,1,1,1))]. given #16453 (H,wt=29): 18223 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(a(y,u,y) * (T(z,y) \ w)) * v5). [para(12945(a,1),18222(a,1,2,1)),flip(a)]. given #16454 (H,wt=29): 18224 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,a(y,u,y) * ((T(z,y) \ w) * v5)). [para(12539(a,1),18223(a,2,2))]. given #16455 (H,wt=27): 18225 K(x,((y * (z / R(y,u,y))) \ w) * v5) != v6 | K(x,(T(z,y) \ w) * v5) = v6. [para(18224(a,2),12740(a,1))]. given #16456 (H,wt=37): 17612 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(240,a,17321,a(flip),b,17578,a(flip))]. given #16457 (H,wt=31): 18226 K(x,y) * (1 / (a(K(x,y) * z,u,u \ 1) \ (z \ 1))) = R(K(x,y) * z,u,u \ 1). [para(11670(a,1),17612(a,1,2))]. given #16458 (H,wt=29): 18227 K(x,y) / (a(K(x,y) * z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [hyper(14141,a,18226,a)]. given #16459 (H,wt=37): 17668 ((x * y) * (K(z,u) * K(w,v5))) / ((y * K(w,v5)) * K(z,u)) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [para(17661(a,1),475(a,1,1))]. given #16460 (H,wt=37): 17840 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(6096(a,2),17839(a,1,2,1))]. given #16461 (H,wt=37): 18228 ((x * y) * (K(z,u) * K(w,v5))) / (y * (K(z,u) * K(w,v5))) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [para(17661(a,1),17668(a,1,2))]. given #16462 (H,wt=26): 18229 R(R(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [hyper(483,a,18228,a),flip(a)]. given #16463 (H,wt=26): 18230 R(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [para(16642(a,1),18229(a,1,1))]. given #16464 (H,wt=26): 18231 L(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [hyper(16920,a,18230,a)]. given #16465 (H,wt=26): 18232 L(L(x,y * K(z,u),K(w,v5)),y,K(z,u)) = R(x,y,K(w,v5) * K(z,u)). [hyper(240,a,45,a,b,18231,a(flip)),flip(a)]. given #16466 (H,wt=38): 17500 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(17498(a,1),9603(a,1,2,1))]. given #16467 (H,wt=31): 18233 K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(2646(a,1),17500(a,1,1))]. given #16468 (H,wt=29): 18235 (x * L(x \ 1,x,y * (x \ 1))) \ z = K(x \ 1,x) * (a(y,x \ 1,x) * z). [para(17421(a,1),18233(a,1,2)),flip(a)]. given #16469 (H,wt=38): 17515 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(7094(a,1),17385(a,1,2,1,1))]. given #16470 (H,wt=38): 18236 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(11309(a,1),17515(a,1,2,1,1,2))]. given #16471 (H,wt=28): 18237 K(x,(y * K(z,L(u,w,v5 \ 1))) / (v5 \ w)) = K(x,y / (v5 \ (w * K(u,z)))). [hyper(16122,a,18236,a)]. given #16472 (H,wt=28): 18238 K(x,y * ((z \ u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(17737,a,18237,a)]. given #16473 (H,wt=39): 17703 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(x * (1 / y)) \ x). [hyper(6304,a,17702,a),flip(a)]. given #16474 (H,wt=37): 18240 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(1 / y) \ 1). [hyper(240,a,6091,a(flip),b,17703,a)]. given #16475 (H,wt=33): 18242 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),y). [para(65(a,1),18240(a,2,2))]. given #16476 (H,wt=31): 18243 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). [hyper(240,a,3023,a(flip),b,18242,a)]. given #16477 (H,wt=23): 18244 K((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). [hyper(4860,a,18243,a)]. given #16478 (H,wt=21): 18245 K((1 / x) \ 1,y / T(z,u)) = K(x,y * T(z \ 1,u)). [hyper(6162,a,18244,a)]. given #16479 (H,wt=17): 18246 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [hyper(8065,a,18245,a),flip(a)]. given #16480 (H,wt=23): 18248 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(18246(a,1),15206(a,1,1))]. given #16481 (H,wt=17): 18249 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(240,a,14848,a(flip),b,18248,a(flip))]. given #16482 (H,wt=17): 18250 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(13887,a,18249,a),flip(a)]. given #16483 (H,wt=19): 18251 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(240,a,16697,a(flip),b,18249,a(flip))]. given #16484 (H,wt=17): 18254 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(240,a,18249,a(flip),b,18251,a)]. given #16485 (H,wt=19): 18252 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [hyper(240,a,13578,a,b,18250,a),flip(a)]. given #16486 (H,wt=17): 18257 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [hyper(240,a,13842,a(flip),b,18252,a)]. given #16487 (H,wt=15): 18258 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(8212,a,18257,a),flip(a)]. given #16488 (H,wt=15): 18259 K(x,T(x * y,z)) = K(x,x * T(y,z)). [hyper(10315,a,18258,a)]. given #16489 (H,wt=21): 18256 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(240,a,14629,a(flip),b,18254,a(flip))]. given #16490 (H,wt=22): 18261 K(x,((y \ 1) * (y * z)) \ u) = K(x,R(z,y,y \ 1) \ u). [para(732(a,1),18256(a,1,2,1)),flip(a)]. given #16491 (H,wt=21): 18262 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(6376,a,18261,a),flip(a)]. given #16492 (H,wt=25): 18263 x / (K(y,L(z,u,u \ 1) \ w) * x) = K(R(z,u,u \ 1) \ w,y). [para(18262(a,1),5184(a,1,2,1))]. given #16493 (H,wt=21): 18264 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(16329,a,18263,a),flip(a)]. given #16494 (H,wt=22): 18265 K(((x \ 1) * (x * y)) \ z,u) = K(R(y,x,x \ 1) \ z,u). [hyper(240,a,5718,a,b,18264,a),flip(a)]. given #16495 (H,wt=20): 18266 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,y * x)). [hyper(7301,a,18265,a),flip(a)]. given #16496 (H,wt=18): 18267 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,x)). [hyper(240,a,7154,a(flip),b,18266,a)]. given #16497 (H,wt=27): 18260 K(x,T(x * (x \ (y * z)),x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). [para(1548(a,2),18259(a,2,2))]. given #16498 (H,wt=23): 18269 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,x / y)). [para(14(a,1),18260(a,1,2,1)),flip(a)]. given #16499 (H,wt=21): 18270 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,y)). [hyper(240,a,8038,a(flip),b,18269,a)]. given #16500 (H,wt=19): 18272 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,y * z). [hyper(240,a,10270,a(flip),b,18270,a)]. given #16501 (H,wt=15): 18273 K(x,T(y,x / z) * z) = K(x,z * y). [hyper(15611,a,18272,a)]. given #16502 (H,wt=29): 18274 K(x,(y * z) \ T(u,y)) * K(x,K(u,y * z)) = K(x,T((z * y) \ u,y \ u)). [para(18273(a,1),15794(a,1,2,2))]. given #16503 (H,wt=21): 18275 K(x,T((y * z) \ u,z \ u)) = K(x,T(u,z) / (z * y)). [hyper(15420,a,18274,a),flip(a)]. given #16504 (H,wt=30): 18268 ((x * y) * K(x,T(z,y))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(18267(a,1),6557(a,1,1,2))]. given #16505 (H,wt=30): 18277 (x * (y * K(x,T(z,y)))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(7328(a,1),18268(a,1,1))]. given #16506 (H,wt=28): 18278 (x * (K(x,y) * z)) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). [para(6988(a,1),18277(a,1,1,2))]. given #16507 (H,wt=26): 18279 T(((x * y) * (x \ 1)) \ (x * y),z) = (T(x,z) * y) / R(y,x,x \ 1). [para(4779(a,1),18278(a,1,1)),flip(a)]. given #16508 (H,wt=25): 18280 (T(x,y) * z) / R(z,x,x \ 1) = T((x * z) / R(z,x,x \ 1),y). [para(6555(a,1),18279(a,1,1)),flip(a)]. given #16509 (H,wt=25): 18281 (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). [para(17327(a,1),18280(a,2,1))]. given #16510 (H,wt=23): 18282 T(x * (R(x,y,y \ 1) \ y),z) = a(x,y,y \ 1) \ T(y,z). [hyper(240,a,17322,a(flip),b,18281,a(flip))]. given #16511 (H,wt=21): 18283 a(x,y,y \ 1) \ T(y,z) = T(a(x,y,y \ 1) \ y,z). [para(17311(a,1),18282(a,1,1)),flip(a)]. given #16512 (H,wt=33): 18253 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x,y) * (z \ u)). [para(18250(a,1),17713(a,2,2))]. given #16513 (H,wt=33): 18284 (T(x \ 1,y) * y) * (z / (T(x \ 1,y) * y)) = z * K(x \ T(y,x),T(x,y) * (y \ z)). [para(3924(a,1),18253(a,2,2,1))]. given #16514 (H,wt=29): 18285 x * K(y \ T(z,y),T(y,z) * (z \ x)) = (z * (y \ 1)) * (x / (z * (y \ 1))). [hyper(14663,a,18284,a),flip(a)]. given #16515 (H,wt=27): 18286 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(x / y,T(y,x) * (x \ z)). [para(12753(a,1),18285(a,1,2)),flip(a)]. given #16516 (H,wt=27): 18287 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * T(y,x)). [para(15125(a,1),18286(a,2,2))]. given #16517 (H,wt=25): 18288 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * y). [para(12768(a,1),18287(a,2,2))]. given #16518 (H,wt=21): 18289 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [hyper(240,a,14058,a(flip),b,18288,a(flip))]. given #16519 (H,wt=19): 18290 K(x / y,(x / y) \ z) = K(y \ x,(x \ z) * y). [hyper(17,a,4976,a,b,18289,a),flip(a)]. given #16520 (H,wt=19): 18294 K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). [hyper(240,a,13392,a(flip),b,18290,a(flip)),flip(a)]. given #16521 (H,wt=19): 18295 K(x / y,(x \ y) * z) = K(y \ x,(x \ z) * y). [hyper(240,a,11523,a,b,18294,a(flip)),flip(a)]. given #16522 (H,wt=21): 18296 x * K(y / z,(y \ z) * x) = (y / z) * (x / (y / z)). [para(18295(a,2),18289(a,1,2))]. given #16523 (H,wt=23): 18291 (x * (1 / y)) * (z / (x * (1 / y))) = (x / y) * (z / (x / y)). [hyper(240,a,14389,a,b,18289,a(flip)),flip(a)]. given #16524 (H,wt=23): 18297 ((x / y) \ 1) * (z / ((x / y) \ 1)) = (y / x) * (z / (y / x)). [hyper(240,a,11522,a,b,18296,a(flip)),flip(a)]. given #16525 (H,wt=25): 18298 K(x / (y * (1 / z)),y * (1 / z)) = ((y / z) * (x / (y / z))) \ x. [para(18291(a,1),102(a,1,1)),flip(a)]. given #16526 (H,wt=23): 18300 K(x / (y * (1 / z)),y * (1 / z)) = K((y / z) \ x,y / z). [hyper(240,a,5005,a(flip),b,18298,a)]. given #16527 (H,wt=23): 18301 K(x / (y * (1 / z)),y * (1 / z)) = K(y \ (z * x),y / z). [hyper(240,a,10155,a(flip),b,18300,a)]. given #16528 (H,wt=21): 18302 K(x / (y * (1 / z)),y / z) = K(y \ (z * x),y / z). [hyper(13822,a,18301,a)]. given #16529 (H,wt=21): 18303 K(x / (y * (z \ 1)),y / z) = K(y \ (z * x),y / z). [hyper(15635,a,18302,a)]. given #16530 (H,wt=19): 18304 K(x \ (y * z),x / y) = K(y * (x \ z),x / y). [hyper(240,a,14076,a(flip),b,18303,a(flip))]. given #16531 (H,wt=23): 18305 K(x * (y \ T(z,u)),y / x) = K(y \ (z * x),T(x \ y,u)). [hyper(240,a,14754,a(flip),b,18304,a(flip))]. given #16532 (H,wt=23): 18306 K(x \ (y * z),T(z \ x,u)) = K(z * (x \ y),T(x / z,u)). [hyper(18120,a,18305,a),flip(a)]. given #16533 (H,wt=23): 18307 K(x \ (y * z),T(x / y,u)) = K(y * (x \ z),T(x / y,u)). [hyper(16792,a,18306,a)]. given #16534 (H,wt=23): 18308 K(x * (y \ z),T(y / x,z * y)) = K(y \ (x * z),x \ y). [hyper(240,a,14808,a(flip),b,18307,a(flip))]. given #16535 (H,wt=19): 18309 K(x \ (y * z),y \ x) = K((x \ z) * y,x / y). [hyper(14814,a,18308,a),flip(a)]. given #16536 (H,wt=21): 18310 x * K((y \ x) * z,y / z) = ((z \ y) \ x) * (z \ y). [para(18309(a,1),10153(a,1,2))]. given #16537 (H,wt=21): 18313 x * K(y * (z \ x),y \ z) = ((y \ z) \ x) * (y \ z). [para(10336(a,2),18310(a,1,2))]. given #16538 (H,wt=22): 18311 L(x,K((y \ z) * u,y / u),(u \ y) * (z / (u \ y))) = x. [para(18309(a,1),10227(a,1,2))]. given #16539 (H,wt=23): 18312 K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). [para(18309(a,1),16626(a,1,2,2))]. given #16540 (H,wt=23): 18315 K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). [hyper(15311,a,18312,a)]. given #16541 (H,wt=27): 18293 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(x / y,(T(x,y) \ z) * y). [para(12753(a,1),18289(a,1,2)),flip(a)]. given #16542 (H,wt=27): 18316 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (T(x,y) \ z)). [para(10269(a,1),18293(a,2,2))]. given #16543 (H,wt=25): 18317 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (x \ z)). [para(17810(a,1),18316(a,2,2))]. given #16544 (H,wt=29): 18314 K((x \ y) * (y \ z),(x \ y) \ y) = z \ ((((x \ y) \ y) \ z) * T(x,x \ y)). [hyper(73,a,271,a,b,18313,a),flip(a)]. given #16545 (H,wt=21): 18318 K((x \ y) * (y \ z),(x \ y) \ y) = K(x \ z,T(x,y)). [hyper(240,a,10530,a(flip),b,18314,a)]. given #16546 (H,wt=19): 18319 K((x \ y) * (y \ z),T(x,y)) = K(x \ z,T(x,y)). [hyper(7296,a,18318,a)]. given #16547 (H,wt=17): 18320 K((x \ y) * (z \ x),z) = K(z \ y,T(z,x)). [hyper(10361,a,18319,a)]. given #16548 (H,wt=25): 18321 K((x * (y \ z)) \ z,T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(240,a,13916,a(flip),b,18320,a(flip))]. given #16549 (H,wt=25): 18322 K(x \ ((y \ z) \ z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(17162,a,18321,a)]. given #16550 (H,wt=23): 18323 K(x \ T(y,z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(240,a,12739,a(flip),b,18322,a(flip)),flip(a)]. given #16551 (H,wt=21): 18324 K(T(x,y) / z,z * (x \ y)) = K(z \ x,z * (x \ y)). [hyper(14968,a,18323,a)]. given #16552 (H,wt=21): 18325 K(x \ T(y,z),(y \ z) * x) = K(x \ y,x * (y \ z)). [hyper(10286,a,18324,a)]. given #16553 (H,wt=25): 18326 K(x \ T(y,z),(y \ T(z,u)) * x) = K(x \ y,x * (y \ T(z,u))). [hyper(240,a,15251,a(flip),b,18325,a(flip)),flip(a)]. given #16554 (H,wt=23): 18327 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (y \ T(z,y))). [hyper(240,a,16461,a(flip),b,18326,a(flip)),flip(a)]. given #16555 (H,wt=21): 18328 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (z / y)). [hyper(240,a,17041,a(flip),b,18327,a)]. given #16556 (H,wt=31): 18299 ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = (T(y,z) / x) * (u / (T(y,z) / x)). [hyper(15713,a,18297,a)]. given #16557 (H,wt=35): 18255 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(240,a,17840,a(flip),b,18254,a(flip))]. given #16558 (H,wt=33): 18330 K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [hyper(240,a,14629,a(flip),b,18255,a(flip))]. given #16559 (H,wt=29): 18331 K(x,((((y / z) * u) \ (y / z)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [para(13521(a,1),18330(a,1,2,1,1))]. given #16560 (H,wt=29): 18333 K(x,((((y \ z) * u) \ (y \ z)) \ (y \ z)) \ w) = K(x,(u * T(z / y,z)) \ w). [para(14227(a,1),18331(a,1,2,1,1))]. given #16561 (H,wt=25): 18334 K(x,T((y \ z) * u,y \ z) \ w) = K(x,(u * T(z / y,z)) \ w). [hyper(12791,a,18333,a)]. given #16562 (H,wt=21): 18335 K(x,(y * T(z / u,z)) \ w) = K(x,(y * (u \ z)) \ w). [hyper(12824,a,18334,a),flip(a)]. given #16563 (H,wt=25): 18336 K(x,(y * T(T(z,u) / w,z)) \ v5) = K(x,(y * (w \ T(z,u))) \ v5). [hyper(240,a,17743,a(flip),b,18335,a(flip)),flip(a)]. given #16564 (H,wt=27): 18337 K(x,(y * T(T(z,u) / w,T(z,v5))) \ v6) = K(x,(y * (w \ T(z,u))) \ v6). [hyper(240,a,17743,a,b,18336,a(flip)),flip(a)]. given #16565 (H,wt=31): 18338 K(x,(y * T(T(z,u \ z) / u,T(z,w))) \ v5) = K(x,(y * ((z * (u \ z)) / z)) \ v5). [para(4127(a,1),18337(a,2,2,1,2))]. given #16566 (H,wt=23): 18339 K(x,(y * ((z * (u \ z)) / z)) \ w) = K(x,(y * (z / u)) \ w). [para(8333(a,1),18338(a,1,2,1,2)),flip(a)]. given #16567 (H,wt=21): 18340 K(x,(y * T(z \ u,u)) \ w) = K(x,(y * (u / z)) \ w). [hyper(17064,a,18339,a)]. given #16568 (H,wt=31): 18341 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * T(u \ w,w))). [para(18340(a,1),15535(a,1,2))]. given #16569 (H,wt=21): 18342 K(x,y / (z * T(u \ w,w))) = K(x,y / (z * (w / u))). [hyper(240,a,15547,a(flip),b,18341,a(flip))]. given #16570 (H,wt=25): 18343 K(x,y / (z * T(u \ (w \ 1),w))) = K(x,y / (z * ((w \ 1) / u))). [hyper(240,a,17864,a(flip),b,18342,a(flip)),flip(a)]. given #16571 (H,wt=25): 18344 K(x,y / (T(z,z \ (u \ 1)) \ 1)) = K(x,y / (u * ((z \ 1) / u))). [para(6586(a,2),18343(a,1,2,2))]. given #16572 (H,wt=23): 18345 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,u \ (z \ 1))). [hyper(240,a,13701,a(flip),b,18344,a(flip))]. given #16573 (H,wt=21): 18346 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,z \ 1)). [hyper(240,a,12757,a(flip),b,18345,a)]. given #16574 (H,wt=25): 18347 K(x,y / ((z / u) * ((w \ 1) / (z / u)))) = K(x,y * T(w,z \ u)). [hyper(240,a,15298,a(flip),b,18346,a)]. given #16575 (H,wt=21): 18348 K(x,y / T(z \ 1,u / w)) = K(x,y * T(z,u \ w)). [hyper(17780,a,18347,a)]. given #16576 (H,wt=39): 17751 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(12855,a,17741,a),flip(a)]. given #16577 (H,wt=37): 18349 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(14091(a,1),17751(a,1,2))]. given #16578 (H,wt=33): 18350 K(((x \ y) * T(x,y)) \ (z * T(x,y)),z \ y) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [hyper(14906,a,18349,a)]. given #16579 (H,wt=33): 18352 K((T(x,y) \ (z * T(y,x))) * K(x,y),z \ x) = K((y \ x) \ z,z \ ((y \ x) * T(y,x))). [hyper(240,a,17794,a(flip),b,18350,a(flip)),flip(a)]. given #16580 (H,wt=27): 18353 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * T(x,y)),z \ y). [hyper(14994,a,18352,a),flip(a)]. given #16581 (H,wt=27): 18354 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),T(z \ y,y)). [hyper(240,a,10644,a(flip),b,18353,a)]. given #16582 (H,wt=25): 18355 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),y / z). [hyper(240,a,7607,a(flip),b,18354,a)]. given #16583 (H,wt=25): 18356 K((x \ y) \ z,K(x,y) * (z \ T(y,x))) = K(y \ (z * x),y / z). [hyper(240,a,17741,a(flip),b,18355,a(flip)),flip(a)]. given #16584 (H,wt=23): 18357 K((x \ y) \ z,T(z \ y,K(y,x))) = K(y \ (z * x),y / z). [para(14091(a,1),18356(a,1,2))]. given #16585 (H,wt=19): 18358 K((x \ y) \ z,z \ y) = K(y \ (z * x),y / z). [hyper(14906,a,18357,a)]. given #16586 (H,wt=39): 18112 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(16706(a,1),18079(a,1,1,2))]. given #16587 (H,wt=37): 18360 K(x,K(y,z * (u * w))) * K(x,y * ((z * ((v5 * u) / v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). [para(15490(a,1),18112(a,1,1))]. given #16588 (H,wt=39): 18276 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(5498(a,1),18275(a,2,2,2))]. given #16589 (H,wt=35): 18362 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),18276(a,1,2,1,1))]. given #16590 (H,wt=35): 18363 K(x,T((y \ z) \ u,(y \ z) \ (u * z))) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [hyper(17021,a,18362,a)]. given #16591 (H,wt=29): 18365 K(x,T(y,z \ (u \ z)) / ((u \ z) * K(u \ 1,z))) = K(x,T((u \ z) \ y,z)). [hyper(10961,a,18363,a),flip(a)]. given #16592 (H,wt=29): 18366 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(z,u \ 1)) = K(x,T((u \ z) \ y,z)). [hyper(240,a,17610,a(flip),b,18365,a(flip)),flip(a)]. given #16593 (H,wt=27): 18367 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(u,z)) = K(x,T((u \ z) \ y,z)). [hyper(15195,a,18366,a)]. given #16594 (H,wt=27): 18368 K(x,T(y,z \ (u \ z)) * ((u \ z) \ K(u,z))) = K(x,T((u \ z) \ y,z)). [hyper(17688,a,18367,a)]. given #16595 (H,wt=25): 18369 K(x,T(y,z \ (u \ z)) / (T(u,z) \ z)) = K(x,T((u \ z) \ y,z)). [hyper(14170,a,18368,a)]. given #16596 (H,wt=23): 18370 K(x,T(y,z \ (u \ z)) / (z / u)) = K(x,T((u \ z) \ y,z)). [hyper(17759,a,18369,a)]. given #16597 (H,wt=19): 18371 K(x,T((y \ z) \ u,z)) = K(x,T(u,y) / (z / y)). [hyper(240,a,17653,a(flip),b,18370,a(flip))]. given #16598 (H,wt=29): 18373 K(x,(((y \ z) \ u) * w) / (K(z,(y \ z) \ u) * w)) = K(x,T(u,y) / (z / y)). [para(5083(a,2),18371(a,1,2))]. given #16599 (H,wt=29): 18374 K(x,(((y \ z) \ u) * w) / (K(z,z \ (y * u)) * w)) = K(x,T(u,y) / (z / y)). [para(13951(a,1),18373(a,1,2,2,1))]. given #16600 (H,wt=29): 18375 K(x,(((y \ z) \ u) * w) * (w \ K(z \ (y * u),z))) = K(x,T(u,y) / (z / y)). [hyper(17734,a,18374,a)]. given #16601 (H,wt=27): 18376 K(x,(((y \ z) \ u) * w) * (w \ K(y * u,z))) = K(x,T(u,y) / (z / y)). [hyper(240,a,17777,a(flip),b,18375,a(flip)),flip(a)]. given #16602 (H,wt=23): 18377 K(x,((y \ z) \ u) * K(y * u,z)) = K(x,T(u,y) / (z / y)). [hyper(240,a,17634,a(flip),b,18376,a(flip)),flip(a)]. given #16603 (H,wt=21): 18378 K(x,(y \ T(z,y * u)) \ u) = K(x,T(u,y) / (z / y)). [hyper(240,a,17676,a(flip),b,18377,a(flip)),flip(a)]. given #16604 (H,wt=39): 18292 (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(5380(a,1),18289(a,1,2,2)),flip(a)]. given #16605 (H,wt=39): 18379 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(17035(a,1),18378(a,1,2,1,2,2))]. given #16606 (H,wt=37): 18381 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(17039(a,1),18379(a,1,2,1,2))]. given #16607 (H,wt=35): 18382 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(240,a,12811,a(flip),b,18381,a(flip))]. given #16608 (H,wt=35): 18383 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(240,a,17724,a(flip),b,18382,a)]. given #16609 (H,wt=33): 18384 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(240,a,17656,a(flip),b,18383,a)]. given #16610 (H,wt=27): 18385 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [hyper(240,a,12818,a(flip),b,18384,a)]. given #16611 (H,wt=27): 18386 K(x,K(y,T(y \ z,u \ z)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(6964(a,2),18385(a,1,2,1))]. given #16612 (H,wt=25): 18387 K(x,K(y,T(y \ z,u)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(8336(a,1),18386(a,1,2,1))]. given #16613 (H,wt=25): 18388 K(x,(y / (z \ u)) \ K(w,T(w \ u,z))) = K(x,(z \ T(u,w)) / y). [hyper(14902,a,18387,a)]. given #16614 (H,wt=23): 18389 K(x,(y / (z \ u)) \ K(w,w \ u)) = K(x,(z \ T(u,w)) / y). [hyper(16271,a,18388,a)]. given #16615 (H,wt=21): 18390 K(x,(y / (z \ u)) \ K(w,u)) = K(x,(z \ T(u,w)) / y). [hyper(240,a,12811,a(flip),b,18389,a(flip)),flip(a)]. given #16616 (H,wt=21): 18391 K(x,(y \ z) * (u \ K(w,z))) = K(x,(y \ T(z,w)) / u). [hyper(17738,a,18390,a)]. given #16617 (H,wt=21): 18392 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ T(u,z)) / w). [hyper(240,a,17773,a,b,18391,a(flip)),flip(a)]. given #16618 (H,wt=39): 18380 (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(14108(a,1),18292(a,2,2,1))]. given #16619 (H,wt=37): 18393 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(K(y,x) * (z \ x),(y / x) * z). [para(15133(a,1),18380(a,2,2))]. given #16620 (H,wt=35): 18394 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(z \ T(x,y),(y / x) * z). [para(15098(a,1),18393(a,2,2))]. given #16621 (H,wt=35): 18395 ((x / y) * K(x \ z,x)) * (z / (x / (K(x,x \ z) * y))) = z * K(y \ T(x,z),(z / x) * y). [para(17228(a,1),18394(a,1,1))]. given #16622 (H,wt=35): 18396 ((x / y) * K(x \ z,x)) * (z / ((x / y) * K(x \ z,x))) = z * K(y \ T(x,z),(z / x) * y). [para(17228(a,1),18395(a,1,2,2))]. given #16623 (H,wt=35): 18397 (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(240,a,17929,a(flip),b,18396,a(flip)),flip(a)]. given #16624 (H,wt=33): 18398 (x / y) * T(z / T(x / y,K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(7841(a,1),18397(a,1,2,1,2))]. given #16625 (H,wt=33): 18399 (x / y) * T(T(z / (x / y),K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(8354(a,1),18398(a,1,2,1))]. given #16626 (H,wt=31): 18400 (x / y) * T(T(z / (x / y),K(z,x)),K(z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(7841(a,1),18399(a,1,2))]. given #16627 (H,wt=23): 18401 x * K(y \ T(z,x),(x / z) * y) = (z / y) * (x / (z / y)). [para(7562(a,1),18400(a,1,2)),flip(a)]. given #16628 (H,wt=21): 18403 x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). [para(18328(a,1),18401(a,1,2))]. given #16629 (H,wt=25): 18404 T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). [para(18403(a,1),15747(a,1,1))]. given #16630 (H,wt=40): 16306 K(x,K(a(y,z,u),(y * z) * u)) != w | K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),v5)) = w. [para(12402(a,1),16193(a,1))]. given #16631 (H,wt=40): 16794 ((x * (K(y,K(z,u)) * w)) * (v5 * v6)) \ (((x * (K(y,K(z,u)) * w)) * v5) * v6) = a(K(y,K(z,u)) * (x * w),v5,v6). [hyper(240,a,24,a(flip),b,16793,a),flip(a)]. given #16632 (H,wt=40): 16940 (a(x,y,K(z,u)) * (w * (v5 * z))) \ ((w * v5) * L(z,y,K(u,x))) = L(a(w,v5,z),w * (v5 * z),a(x,y,K(z,u))). [para(16863(a,1),460(a,1,2))]. given #16633 (H,wt=40): 16992 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(16989(a,1),13414(a,1,1))]. given #16634 (H,wt=38): 18406 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(16934(a,1),16992(a,1,2,2)),flip(a)]. given #16635 (H,wt=33): 18407 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(16864(a,1),18406(a,2,2,2))]. given #16636 (H,wt=31): 18408 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(16989(a,1),18407(a,1,2))]. given #16637 (H,wt=24): 18409 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = w * (a(z,y,x) \ u). [hyper(16121,a,18408,a)]. given #16638 (H,wt=24): 18411 x * T(a(y,z,u) \ w,a(y,z,u) \ x) = w * (a(y,z,u) \ x). [hyper(240,a,17514,a(flip),b,18409,a(flip)),flip(a)]. given #16639 (H,wt=23): 18412 x * T(a(y,x,x \ 1) \ z,x) = z * (a(y,x,x \ 1) \ x). [para(17313(a,1),18411(a,1,2))]. given #16640 (H,wt=21): 18413 (a(x,y,y \ 1) \ z) * y = z * (a(x,y,y \ 1) \ y). [hyper(231,a,18412,a)]. given #16641 (H,wt=35): 18414 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(240,a,17273,a(flip),b,18413,a(flip))]. given #16642 (H,wt=31): 18415 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,z,z \ 1) * z) \ (z * x)). [para(10942(a,1),18414(a,2,2,1,1))]. given #16643 (H,wt=31): 18417 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((z * a(y,z,z \ 1)) \ (z * x)). [para(13544(a,1),18415(a,2,2,1))]. given #16644 (H,wt=40): 17061 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(107(a,1),17010(a,1,2,3,1)),flip(a)]. given #16645 (H,wt=40): 17146 ((x \ y) * x) \ (K(z,L(u,w,y)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((v5 \ y) * v5) * T(w,y))). [hyper(240,a,16324,a,b,16741,a(flip)),flip(a)]. given #16646 (H,wt=40): 18405 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * (K(z,K(u,w)) * y)) * v5) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),16794(a,1,1))]. given #16647 (H,wt=40): 18418 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(11309(a,1),17061(a,2,2,3))]. given #16648 (H,wt=38): 18421 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(13942(a,1),18418(a,2,2,3))]. given #16649 (H,wt=35): 18422 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(13944(a,1),18421(a,1,2,3))]. given #16650 (H,wt=33): 18423 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(13609(a,1),18422(a,1,2))]. given #16651 (H,wt=40): 18420 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * (K(z,K(u,w)) * v5)) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),18405(a,1,2,1))]. given #16652 (H,wt=40): 18424 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * v5) * (K(z,K(u,w)) * v6)) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),18420(a,1,2))]. given #16653 (H,wt=40): 18425 K(x,K(y,z)) * (((u * w) * (K(x,K(y,z)) * (v5 * v6))) \ (((u * w) * v5) * v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). [hyper(16514,a,18424,a)]. given #16654 (H,wt=40): 18426 K(x,K(y,z)) * (K(x,K(y,z)) * (((u * w) * (v5 * v6)) \ (((u * w) * v5) * v6))) = a(K(x,K(y,z)) * (u * w),v5,v6). [para(16287(a,1),18425(a,1,2))]. given #16655 (H,wt=31): 18427 K(x,K(y,z)) * (K(x,K(y,z)) * a(u * w,v5,v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). [para(24(a,2),18426(a,1,2,2))]. given #16656 (H,wt=19): 18428 a(K(x,K(y,z)) * (u * w),v5,v6) = a(u * w,v5,v6). [hyper(7541,a,18427,a)]. given #16657 (H,wt=15): 18432 a(x * K(y,K(z,u)),w,v5) = a(x,w,v5). [para(15036(a,1),18428(a,1,1)),flip(a)]. given #16658 (H,wt=17): 18430 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(4774(a,1),18428(a,1,1)),flip(a)]. given #16659 (H,wt=13): 18434 a(K(x,y) * z,y,x) = a(z,y,x). [hyper(17263,a,18430,a(flip)),flip(a)]. given #16660 (H,wt=15): 18435 a(T(x,y) \ z,x,y) = a(x \ z,x,y). [para(5078(a,1),18434(a,1,1))]. given #16661 (H,wt=24): 18436 a(x,y,z) * ((z * y) * x) = ((((z * y) * x) / (y * z)) * y) * z. [para(18434(a,1),14528(a,1,1))]. given #16662 (H,wt=19): 18437 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). [hyper(240,a,11176,a(flip),b,18436,a)]. given #16663 (H,wt=24): 18438 (x * y) * R(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [hyper(17462,a,18437,a),flip(a)]. given #16664 (H,wt=27): 18433 a(x * K(y,K(z,u)),w,v5) = K(v6,K(v7,v8)) * (K(v6,K(v7,v8)) * a(x,w,v5)). [hyper(240,a,7537,a,b,18432,a)]. given #16665 (H,wt=18): 18440 a(x * K(y,K(z,u)),w,v5) != v6 | a(x,w,v5) = v6. [para(18433(a,2),5200(a,1)),flip(b)]. given #16666 (H,wt=20): 18441 a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. [para(7470(a,1),18440(a,1,1))]. given #16667 (H,wt=41): 16075 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))). [para(16057(a,1),440(a,1,2,2))]. given #16668 (H,wt=41): 16810 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [hyper(240,a,13566,a,b,16809,a(flip)),flip(a)]. given #16669 (H,wt=41): 17935 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(17929(a,1),16434(a,1,2,2,1))]. given #16670 (H,wt=41): 18096 K(x,L(T((y * (z * u)) / (y * z),y * (z * u)),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). [hyper(240,a,14510,a(flip),b,18092,a(flip))]. given #16671 (H,wt=38): 18444 K(x,L(L(L(y,z,u),u * z,L(y,z,u)),u * z,y)) = K(x,L(a(u,z,y) \ y,a(u,z,y),u * (z * y))). [para(10603(a,1),18096(a,1,2,1))]. given #16672 (H,wt=30): 18445 K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) = K(x,L(L(u,z,y),y * z,u)). [hyper(11289,a,18444,a),flip(a)]. given #16673 (H,wt=28): 18446 K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) != w | K(x,L(u,z,y)) = w. [para(18445(a,2),11352(a,1))]. given #16674 (H,wt=15): 18447 K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). [hyper(18446,a,18016,a),flip(a)]. given #16675 (H,wt=17): 18448 T(x,a(y,z,u) \ u) = x * K(x,L(u,z,y)). [para(18447(a,1),4800(a,2,2))]. given #16676 (H,wt=15): 18450 T(x,a(y,z,u) \ u) = T(x,L(u,z,y)). [hyper(240,a,4800,a,b,18448,a)]. given #16677 (H,wt=20): 18451 x * T(a(y,z,x) \ 1,L(x,z,y)) = a(y,z,x) \ x. [para(18450(a,1),17426(a,1,2))]. given #16678 (H,wt=22): 18449 (a(x,y,z) * K(u,L(z,y,x))) \ z = T(a(x,y,z) \ z,u). [para(18447(a,1),7200(a,1,1,2))]. given #16679 (H,wt=41): 18442 (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16219(a,2),16075(a,1,1))]. given #16680 (H,wt=41): 18443 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(240,a,17391,a(flip),b,17935,a(flip)),flip(a)]. given #16681 (H,wt=41): 18452 (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16219(a,2),18442(a,1,2,1))]. given #16682 (H,wt=41): 18453 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(416(a,1),18443(a,1,2,2,2))]. given #16683 (H,wt=41): 18454 (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16244(a,2),18452(a,1,2))]. given #16684 (H,wt=29): 18456 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). [hyper(16242,a,18454,a),flip(a)]. given #16685 (H,wt=22): 18457 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). [hyper(240,a,24,a,b,18456,a)]. given #16686 (H,wt=15): 18458 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [para(16057(a,1),18457(a,1,3))]. given #16687 (H,wt=17): 18459 a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). [para(4774(a,1),18458(a,1,2)),flip(a)]. given #16688 (H,wt=19): 18460 a(x,(y * z) * K(y,u),w) = a(x,T(y,u) * z,w). [para(4815(a,1),18459(a,1,2)),flip(a)]. given #16689 (H,wt=24): 18461 a(x,K(y,z) * u,K(w,v5)) != v6 | a(w,u * K(y,z),K(v5,x)) = v6. [para(18459(a,2),13771(a,1))]. given #16690 (H,wt=41): 18455 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(9180(a,1),18453(a,1,2,2,2,1))]. given #16691 (H,wt=37): 18462 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(7570(a,1),18455(a,1,2,2))]. given #16692 (H,wt=33): 18463 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (((u * (z / u)) / u) * K(v5,w))). [hyper(17843,a,18462,a),flip(a)]. given #16693 (H,wt=31): 18464 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (T(z / u,u) * K(v5,w))). [hyper(240,a,16706,a(flip),b,18463,a)]. given #16694 (H,wt=29): 18465 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * ((u \ z) * K(v5,w))). [para(124(a,1),18464(a,2,2,2,1))]. given #16695 (H,wt=23): 18466 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) * K(w,u))). [para(124(a,1),18465(a,1,2,2))]. given #16696 (H,wt=27): 18468 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [para(10807(a,1),18466(a,1,2,2,1))]. given #16697 (H,wt=29): 18467 K(x,y * (((z * u) \ w) * K(v5,v5 \ u))) = K(x,y * ((z * ((v5 \ u) * v5)) \ w)). [para(10032(a,1),18466(a,1,2,2,1)),flip(a)]. given #16698 (H,wt=30): 18470 K(x,y * ((z * ((u \ w) * u)) \ v5)) != v6 | K(x,y * (((z * w) \ v5) * K(w,u))) = v6. [para(18467(a,1),16500(a,1))]. given #16699 (H,wt=31): 18469 K(x,y * ((z \ u) * K(w,v5))) * K(x,K(y,z \ u)) = K(x,((z * K(v5,w)) \ u) * y). [para(18466(a,1),18177(a,1,1))]. given #16700 (H,wt=23): 18471 K(x,((y * K(z,u)) \ w) * v5) = K(x,(y \ w) * (K(u,z) * v5)). [hyper(16631,a,18469,a),flip(a)]. given #16701 (H,wt=25): 18472 K(x,((y * z) \ u) * (K(w,z) * v5)) = K(x,((y * T(z,w)) \ u) * v5). [para(5929(a,1),18471(a,1,2,1,1)),flip(a)]. given #16702 (H,wt=29): 18473 K(x,((y * z) \ u) * (K(w,w \ z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(10032(a,1),18471(a,1,2,1,1)),flip(a)]. given #16703 (H,wt=42): 16178 ((x \ y) * x) \ (K(z,L(u,T(w,y),y)) * (K(x \ y,x) * (w * y))) = T(w,y) * K(z,T(u,((x \ y) * x) * T(w,y))). [para(16138(a,1),11373(a,1,2,1))]. given #16704 (H,wt=42): 17318 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(17308(a,1),2364(a,2,2,2))]. given #16705 (H,wt=42): 17468 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(17467(a,2),12635(a,2,2,2))]. given #16706 (H,wt=39): 18476 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(106(a,1),17468(a,2,2))]. given #16707 (H,wt=37): 18477 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(5653(a,1),18476(a,2,2,2))]. given #16708 (H,wt=35): 18478 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(7965(a,1),18477(a,2,2,2))]. given #16709 (H,wt=33): 18479 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(15016(a,1),18478(a,2,2,2))]. given #16710 (H,wt=29): 18480 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(240,a,13,a(flip),b,18479,a)]. given #16711 (H,wt=20): 18481 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(16032,a,18480,a)]. given #16712 (H,wt=19): 18483 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(356(a,1),18481(a,1,2,2,2))]. given #16713 (H,wt=19): 18484 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(15083,a,18483,a)]. given #16714 (H,wt=19): 18485 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(62(a,1),18484(a,1,2,2,1,2)),flip(a)]. given #16715 (H,wt=19): 18487 K(x,K(y \ z,(z \ y) * u)) = K(x,K(u,y \ z)). [hyper(8078,a,18485,a),flip(a)]. given #16716 (H,wt=21): 18486 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(16558,a,18485,a),flip(a)]. given #16717 (H,wt=19): 18489 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(15593,a,18486,a),flip(a)]. given #16718 (H,wt=19): 18490 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z \ w))). [hyper(240,a,18485,a(flip),b,18489,a(flip)),flip(a)]. given #16719 (H,wt=21): 18491 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(18489(a,1),7493(a,1,2))]. given #16720 (H,wt=22): 18495 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,u * (w \ z))) = v5. [para(18491(a,1),7495(a,1))]. given #16721 (H,wt=19): 18496 T(x,K(y,z \ (u * w))) = T(x,K(y,u * (z \ w))). [hyper(18495,a,16419,a),flip(a)]. given #16722 (H,wt=19): 18497 T(x,K(y,(z \ u) \ w)) = T(x,K(y,z * (u \ w))). [hyper(18495,a,8006,a),flip(a)]. given #16723 (H,wt=19): 18498 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). [hyper(15627,a,18496,a)]. given #16724 (H,wt=22): 18500 T(x,K(y,z * (u \ w))) != v5 | T(x,K(y,z * (w * u))) = v5. [para(18498(a,1),18080(a,1))]. given #16725 (H,wt=19): 18501 T(x,K(y,z * (u / w))) = T(x,K(y,z * (u * w))). [hyper(18500,a,15466,a(flip)),flip(a)]. given #16726 (H,wt=23): 18488 T(x,K((y \ z) * u,T(z \ y,w))) = K(x,K(u,z \ y)) * x. [para(18487(a,1),14836(a,2,1))]. given #16727 (H,wt=21): 18503 T(x,K((y \ z) * u,T(z \ y,w))) = T(x,K(u,z \ y)). [hyper(240,a,4809,a,b,18488,a)]. given #16728 (H,wt=29): 18494 K(x,K(y,((z * u) * w) * ((z * w) \ v5))) != v6 | K(x,K(y,R(u,z,w) * v5)) = v6. [para(18490(a,1),15715(a,1))]. given #16729 (H,wt=33): 18499 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,(u \ w) \ v5)) = T(y,K((u \ w) \ v5,z) * x). [para(18497(a,1),14572(a,1,2,1,2))]. given #16730 (H,wt=33): 18502 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w / v5))) = T(y,K(u * (w / v5),z) * x). [para(18501(a,1),14572(a,1,2,1,2))]. given #16731 (H,wt=33): 18505 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,u * (w \ v5))) = T(y,K((u \ w) \ v5,z) * x). [para(18497(a,1),18499(a,1,2))]. given #16732 (H,wt=23): 18507 T(x,K((y \ z) \ u,w) * v5) = T(x,K(y * (z \ u),w) * v5). [hyper(14580,a,18505,a),flip(a)]. given #16733 (H,wt=23): 18508 T(x,K(y \ (z * u),w) * v5) = T(x,K(z * (y \ u),w) * v5). [hyper(17380,a,18507,a)]. given #16734 (H,wt=24): 18509 T(x,K(y * (z \ u),u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(18508(a,1),14641(a,1))]. given #16735 (H,wt=33): 18506 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w * v5))) = T(y,K(u * (w / v5),z) * x). [para(18501(a,1),18502(a,1,2))]. given #16736 (H,wt=23): 18510 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (z * u),w) * v5). [hyper(14580,a,18506,a),flip(a)]. given #16737 (H,wt=23): 18511 T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u * z),w) * v5). [hyper(240,a,15686,a(flip),b,18510,a(flip)),flip(a)]. given #16738 (H,wt=21): 18512 T(x,K(y * (z * u),z) * w) = T(x,K(u \ y,z) * w). [hyper(18509,a,18511,a),flip(a)]. given #16739 (H,wt=19): 18513 T(x,K(y \ z,u) * w) = T(x,K(z * y,u) * w). [hyper(240,a,12774,a(flip),b,18512,a(flip))]. given #16740 (H,wt=19): 18514 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(15313,a,18513,a(flip)),flip(a)]. given #16741 (H,wt=21): 18515 T(x,K(y * z,T(u,w)) * v5) = T(x,K(u,y \ z) * v5). [hyper(15279,a,18514,a),flip(a)]. given #16742 (H,wt=19): 18519 T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(15279,a,18515,a),flip(a)]. given #16743 (H,wt=21): 18516 T(x,K(y \ z,u) * (w * u)) = T(x,w * T(u,y * z)). [hyper(15191,a,18514,a(flip)),flip(a)]. given #16744 (H,wt=19): 18521 T(x,y * T(z,u \ w)) = T(x,y * T(z,u * w)). [hyper(15191,a,18516,a)]. given #16745 (H,wt=21): 18517 T(x,K(y * z,u) * (u / w)) = T(x,T(u,y \ z) / w). [hyper(240,a,14592,a(flip),b,18514,a(flip))]. given #16746 (H,wt=19): 18523 T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). [hyper(240,a,14592,a(flip),b,18517,a(flip))]. given #16747 (H,wt=19): 18524 T(x,T(y,z * u) / (u \ z)) = T(x,(u \ z) \ y). [hyper(13965,a,18523,a),flip(a)]. given #16748 (H,wt=22): 18518 T(x,K(y \ z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(18514(a,2),15313(a,1))]. given #16749 (H,wt=24): 18526 T(x,K(y * (z * u),z) * w) != v5 | T(x,K(y * u,z) * w) = v5. [para(18512(a,2),18518(a,1))]. given #16750 (H,wt=29): 18525 T(x,T(y,z \ T(u,w)) / ((z \ u) \ K(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [para(15049(a,1),18524(a,1,2,1))]. given #16751 (H,wt=30): 18520 T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(18519(a,1),15200(a,1))]. given #16752 (H,wt=32): 18522 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) * 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). [hyper(240,a,17705,a(flip),b,18521,a(flip))]. given #16753 (H,wt=30): 18527 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w))) = T(x,y / (v5 * (a(z,u,w) \ 1))). [para(12(a,1),18522(a,1,2,2,2))]. given #16754 (H,wt=25): 18528 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y * ((a(u,w,v5) \ z) \ 1)). [hyper(240,a,16364,a(flip),b,18527,a(flip))]. given #16755 (H,wt=23): 18530 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). [hyper(240,a,13752,a(flip),b,18528,a)]. given #16756 (H,wt=42): 18046 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(18044(a,2),14576(a,1,2,2))]. given #16757 (H,wt=42): 18475 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(10131(a,1),17318(a,1,1,1))]. given #16758 (H,wt=42): 18531 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(15468(a,1),18046(a,1,2,1,2))]. given #16759 (H,wt=37): 18533 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(18069(a,1),18531(a,1,2,1,2))]. given #16760 (H,wt=37): 18534 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(18044(a,1),18533(a,1,2,2))]. given #16761 (H,wt=37): 18536 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(7560(a,1),18534(a,1,2))]. given #16762 (H,wt=37): 18537 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(15468(a,1),18536(a,1,2))]. given #16763 (H,wt=32): 18538 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(18069(a,1),18537(a,1,2)),flip(a)]. given #16764 (H,wt=24): 18539 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v6 \ v5,y) * v7). [hyper(240,a,14572,a(flip),b,18538,a)]. given #16765 (H,wt=24): 18541 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v5 * v6,y) * v7). [hyper(240,a,18513,a(flip),b,18539,a)]. given #16766 (H,wt=27): 18542 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) != v8 | T(x,K(v5 * v6,y) * v7) = v8. [para(18539(a,2),18518(a,1))]. given #16767 (H,wt=42): 18532 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(10131(a,1),18475(a,1,2))]. given #16768 (H,wt=30): 18543 (x * ((y / z) * z)) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). [hyper(240,a,17328,a(flip),b,18532,a(flip))]. given #16769 (H,wt=26): 18545 a(L(x,x \ y,z),u,u \ 1) = (z * y) \ (z * (a(x,u,u \ 1) * y)). [para(16(a,1),18543(a,1,1,2)),flip(a)]. given #16770 (H,wt=23): 18546 L(T(a(x,y,y \ 1),z),z,u) = a(L(x,x \ z,u),y,y \ 1). [hyper(240,a,189,a(flip),b,18545,a),flip(a)]. given #16771 (H,wt=21): 18547 a(L(x,x \ y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z). [para(13539(a,1),18546(a,1,1)),flip(a)]. given #16772 (H,wt=43): 18209 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(260,a,18208,a,b,4958,a(flip))]. given #16773 (H,wt=43): 18504 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(18503(a,1),15474(a,1,2,1,2))]. given #16774 (H,wt=41): 18550 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(17711(a,1),18504(a,1,2,2)),flip(a)]. given #16775 (H,wt=35): 18552 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(18503(a,1),18550(a,2,2))]. given #16776 (H,wt=27): 18553 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = T(x,K(y \ z,v5) * v6). [hyper(240,a,14572,a(flip),b,18552,a)]. given #16777 (H,wt=25): 18555 T(x,K(T(y \ z,u) * w,z \ y) * v5) = T(x,K(z \ y,w) * v5). [hyper(15314,a,18553,a)]. given #16778 (H,wt=23): 18556 T(x,K((y \ z) * u,z \ y) * w) = T(x,K(z \ y,u) * w). [para(121(a,1),18555(a,1,2,1,1,1))]. given #16779 (H,wt=23): 18557 T(x,K(y * (z \ u),u \ z) * w) = T(x,K(u \ z,y) * w). [para(10353(a,1),18555(a,1,2,1))]. given #16780 (H,wt=23): 18558 T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). [hyper(14643,a,18556,a)]. given #16781 (H,wt=23): 18559 T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). [hyper(240,a,18511,a(flip),b,18557,a(flip)),flip(a)]. given #16782 (H,wt=23): 18560 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). [hyper(18518,a,18558,a)]. given #16783 (H,wt=23): 18561 T(x,K(y * (z * u),z \ u) * w) = T(x,K(u * z,y) * w). [hyper(240,a,18513,a(flip),b,18559,a)]. given #16784 (H,wt=23): 18562 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). [hyper(240,a,18513,a(flip),b,18560,a)]. given #16785 (H,wt=26): 18563 T(x,K(y * z,(y \ z) * u) * w) != v5 | T(x,K(y * z,u) * w) = v5. [para(18560(a,2),18518(a,1))]. given #16786 (H,wt=43): 18549 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(15480(a,1),18209(a,1,2))]. given #16787 (H,wt=43): 18564 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(18175(a,1),18549(a,1,2))]. given #16788 (H,wt=41): 18565 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(15632(a,1),18564(a,1,2))]. given #16789 (H,wt=39): 18566 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(15632(a,1),18565(a,1,2))]. given #16790 (H,wt=37): 18569 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(18208(a,1),18566(a,1,2))]. given #16791 (H,wt=37): 18570 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(7113,a,18569,a)]. given #16792 (H,wt=37): 18571 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(11309(a,1),18570(a,1,2))]. given #16793 (H,wt=37): 18572 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(8186,a,18571,a)]. given #16794 (H,wt=37): 18573 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),18572(a,1,2,2))]. given #16795 (H,wt=19): 18574 K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))) = 1. [hyper(240,a,16344,a(flip),b,18573,a(flip)),flip(a)]. given #16796 (H,wt=19): 18575 K(x,K(y / (z \ T(T(u,w),v5)),y * (u \ z))) = 1. [hyper(7769,a,18574,a)]. given #16797 (H,wt=19): 18576 K(x,K((y \ T(T(z,u),w)) \ v5,(z \ y) * v5)) = 1. [para(10271(a,1),18575(a,1,2))]. given #16798 (H,wt=19): 18577 K(x,K((y \ z) * u,(z \ T(T(y,w),v5)) \ u)) = 1. [hyper(7545,a,18576,a)]. given #16799 (H,wt=19): 18578 K(x,K((y \ z) * u,T(T(y,w),v5) \ (z * u))) = 1. [hyper(16218,a,18577,a)]. given #16800 (H,wt=15): 18579 K(x,K((y \ z) * u,y \ (z * u))) = 1. [para(5690(a,1),18578(a,1,2,2,1))]. given #16801 (H,wt=22): 18580 K(x,(y \ (z * u)) / ((y \ z) * u)) = 1 \ a(y,z,K(x,u)). [para(18579(a,1),17449(a,1,1)),flip(a)]. given #16802 (H,wt=20): 18581 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(240,a,51,a(flip),b,18580,a)]. given #16803 (H,wt=28): 18583 K(x,(y \ (z * ((z * u) / z))) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [para(4120(a,1),18581(a,1,2,1,2))]. given #16804 (H,wt=26): 18584 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [hyper(240,a,18392,a(flip),b,18583,a(flip)),flip(a)]. given #16805 (H,wt=44): 16603 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(16185(a,1),6178(a,1,1)),flip(a)]. given #16806 (H,wt=42): 18585 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(16067(a,1),16603(a,1,2,2)),flip(a)]. given #16807 (H,wt=35): 18586 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(16060(a,1),18585(a,2,2))]. given #16808 (H,wt=28): 18588 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(240,a,14048,a(flip),b,18586,a)]. given #16809 (H,wt=19): 18590 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,v5,w))). [hyper(16128,a,18588,a)]. given #16810 (H,wt=24): 18593 (x * y) * a(z,u,K(w,L(v5,y,x))) = (x * a(w,u,K(v5,z))) * y. [para(18590(a,1),16611(a,1,2))]. given #16811 (H,wt=21): 18594 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(w,z,K(y,u))). [hyper(11873,a,18593,a),flip(a)]. given #16812 (H,wt=21): 18595 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(y,z,K(u,w))). [para(13563(a,1),18594(a,1,1,2))]. given #16813 (H,wt=29): 18597 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = x * (y * a(v5,u,K(y * x,w))). [hyper(240,a,17187,a,b,18595,a(flip)),flip(a)]. given #16814 (H,wt=25): 18598 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = L(x * y,u,K(w,v5)). [hyper(240,a,17220,a(flip),b,18597,a)]. given #16815 (H,wt=17): 18599 L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). [hyper(240,a,17095,a(flip),b,18598,a(flip))]. given #16816 (H,wt=31): 18596 (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(18594(a,1),16636(a,1,2))]. given #16817 (H,wt=18): 18600 a(x,a(y,z,K(u,w)),v5) = K(v5,a(w,z,K(y,u))). [hyper(10055,a,18596,a),flip(a)]. given #16818 (H,wt=11): 18601 a(x,a(y,z,K(u,w)),v5) = 1. [hyper(240,a,16049,a(flip),b,18600,a)]. given #16819 (H,wt=11): 18603 L(x,a(y,z,K(u,w)),v5) = x. [hyper(33,a,18601,a)]. given #16820 (H,wt=21): 18604 x / (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) \ (x / v5). [para(18603(a,1),16179(a,1,2,2)),flip(a)]. given #16821 (H,wt=24): 18605 x / (a(y,z,K(u,w)) * v5) != v6 | a(w,z,K(u,y)) * (x / v5) = v6. [para(18604(a,2),13962(a,1))]. given #16822 (H,wt=44): 17595 ((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(17585(a,1),11994(a,1,2,1,2))]. given #16823 (H,wt=35): 18606 ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(9607(a,1),17595(a,1,2,1,2))]. given #16824 (H,wt=33): 18607 ((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),18606(a,1,2,1))]. given #16825 (H,wt=31): 18609 (x / y) * (z * K(K(y \ 1,x) \ 1,z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(7591(a,1),18607(a,1,2)),flip(a)]. given #16826 (H,wt=29): 18610 (x / y) * (z * K(K(x,y \ 1),z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(4977(a,1),18609(a,1,2,2,1))]. given #16827 (H,wt=27): 18611 (x / y) * (z * K(x,K(y,z))) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(7950(a,1),18610(a,1,2,2))]. given #16828 (H,wt=25): 18612 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * T(z,K(x,y)). [para(7503(a,1),18611(a,1,2)),flip(a)]. given #16829 (H,wt=28): 18613 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) != u | T((x / y) * z,K(x,y)) = u. [para(18612(a,2),9979(a,1))]. given #16830 (H,wt=45): 18106 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(7226(a,2),18103(a,2,1)),flip(a)]. given #16831 (H,wt=41): 18614 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(2545(a,1),18106(a,2,1,1))]. given #16832 (H,wt=34): 18615 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(352(a,1),18614(a,2,1,1))]. given #16833 (H,wt=32): 18616 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (y \ x) \ (1 / (x \ y)). [hyper(240,a,14243,a(flip),b,18615,a)]. given #16834 (H,wt=47): 16356 (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(16191(a,1),10344(a,1,1))]. given #16835 (H,wt=40): 18617 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(16394(a,1),16356(a,1,2)),flip(a)]. given #16836 (H,wt=38): 18618 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(240,a,15120,a(flip),b,18617,a)]. given #16837 (H,wt=38): 18620 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(13597(a,1),18618(a,2,2))]. given #16838 (H,wt=33): 18621 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(16191(a,1),18620(a,1,1))]. given #16839 (H,wt=26): 18622 T(x * a(y,z,u),w) * K(y,a(v5,z,u)) = T(x * T(a(y,z,u),v5),w). [hyper(15786,a,18621,a),flip(a)]. given #16840 (H,wt=23): 18623 K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(y * a(z,u,w),v6)). [para(18622(a,1),16388(a,1,2))]. given #16841 (H,wt=23): 18624 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * a(y,z,u),v6)). [hyper(240,a,16232,a,b,18623,a(flip)),flip(a)]. given #16842 (H,wt=41): 18626 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(18624(a,1),15472(a,1,2,1,2,1)),flip(a)]. given #16843 (H,wt=39): 18627 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(15278(a,1),18626(a,2,2,1))]. given #16844 (H,wt=54): 16342 (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (L(z,K(x,y),K(u,T(w,z))) * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(16331(a,1),441(a,1,1))]. given #16845 (H,wt=45): 18629 (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (z * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(17564(a,1),16342(a,1,2,2,1))]. given #16846 (H,wt=45): 18630 (K(x,y) * (z * K(u,w))) \ (K(x,y) * (K(u,T(w,z)) * (z * v5))) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(17604(a,1),18629(a,1,2))]. given #16847 (H,wt=37): 18631 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [hyper(240,a,17470,a(flip),b,18630,a(flip))]. given #16848 (H,wt=57): 18329 (((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(5505(a,2),18299(a,2,1))]. given #16849 (H,wt=55): 18632 (((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(5924(a,1),18329(a,1,1,1)),flip(a)]. given #16850 (H,wt=53): 18633 (((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(14199(a,1),18632(a,2,1))]. given #16851 (H,wt=51): 18634 (((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(5924(a,1),18633(a,2,2,2,1))]. given #16852 (H,wt=49): 18635 (((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(14199(a,1),18634(a,2,2,2))]. given #16853 (H,wt=41): 18636 (((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(240,a,15118,a(flip),b,18635,a)]. given #16854 (H,wt=27): 18638 (x / (y * x)) * (z / (T(x,u) / (y * T(x,u)))) = (y \ 1) * (z / (y \ 1)). [para(14124(a,1),18636(a,1,1))]. given #16855 (H,wt=23): 18639 (x / (y * x)) * (z / (x / (y * x))) = (y \ 1) * (z / (y \ 1)). [para(14122(a,1),18638(a,1,2,2))]. given #16856 (H,wt=25): 18641 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (x \ 1) * (z / (x \ 1)). [hyper(240,a,13403,a,b,18639,a(flip)),flip(a)]. given #16857 (H,wt=58): 18104 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(18102(a,1),13843(a,2,1,2))]. given #16858 (H,wt=54): 18644 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(4701(a,1),18104(a,1,1,2,1,2))]. given #16859 (H,wt=43): 18645 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(18142(a,1),18644(a,1,1))]. given #16860 (H,wt=41): 18646 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(3284(a,1),18645(a,1,1))]. given #16861 (H,wt=37): 18649 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(4701(a,1),18646(a,1,2,1)),flip(a)]. given #16862 (H,wt=35): 18650 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x). [para(13553(a,1),18649(a,2,2))]. given #16863 (H,wt=67): 17329 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(10148(a,1),17310(a,1,3))]. given #16864 (H,wt=67): 18652 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(5183(a,1),17329(a,1,1,1))]. given #16865 (H,wt=67): 18653 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(18309(a,1),18652(a,1,1,1,1))]. given #16866 (H,wt=65): 18654 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),18653(a,1,1,1))]. given #16867 (H,wt=65): 18655 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(5183(a,1),18654(a,1,1))]. given #16868 (H,wt=65): 18656 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(10269(a,1),18655(a,1,1,1))]. given #16869 (H,wt=63): 18657 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),18656(a,1,1)),flip(a)]. given #16870 (H,wt=63): 18658 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(5183(a,1),18657(a,2,2))]. given #16871 (H,wt=63): 18659 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(18309(a,1),18658(a,2,2,1))]. given #16872 (H,wt=61): 18660 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),18659(a,2,2))]. given #16873 (H,wt=42): 18661 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(240,a,18311,a(flip),b,18660,a)]. given #16874 (H,wt=42): 18663 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(5183(a,1),18661(a,1,1,3))]. given #16875 (H,wt=42): 18664 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(18309(a,1),18663(a,1,1,3,1))]. given #16876 (H,wt=40): 18665 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),18664(a,1,1,3))]. given #16877 (H,wt=21): 18666 1 \ K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [para(17549(a,1),18665(a,1,1))]. given #16878 (H,wt=19): 18667 K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [hyper(163,a,18666,a)]. given #16879 (H,wt=21): 18669 x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). [para(18667(a,1),10148(a,1,2))]. given #16880 (H,wt=23): 18670 (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). [hyper(240,a,18317,a,b,18669,a(flip)),flip(a)]. given #16881 (H,wt=27): 18671 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K((x \ 1) \ y,x \ (y \ z)). [para(13684(a,1),18669(a,1,2)),flip(a)]. given #16882 (H,wt=25): 18673 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K(x * y,x \ (y \ z)). [para(13574(a,1),18671(a,2,2))]. given #16883 (H,wt=23): 18674 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = (x * y) * (z / (x * y)). [hyper(240,a,13977,a(flip),b,18673,a)]. given #16884 (H,wt=26): 18675 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) != u | (x * y) * (z / (x * y)) = u. [para(18673(a,2),13978(a,1))]. given #16885 (H,wt=29): 18672 (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). [para(32(a,2),18670(a,2,1))]. given #16886 (H,wt=29): 18677 (x \ T(x * y,x)) * (z / (T(y * x,x) / x)) = T(y,x) * (z / (x \ (y * x))). [para(4514(a,1),18672(a,1,1))]. given #16887 (H,wt=29): 18678 (x \ T(x * y,x)) * (z / (x \ T(x * y,x))) = T(y,x) * (z / (x \ (y * x))). [para(4514(a,1),18677(a,1,2,2))]. given #16888 (H,wt=25): 18679 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / (x \ (y * x))). [hyper(15630,a,18678,a)]. given #16889 (H,wt=23): 18680 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / T(y,x)). [para(32(a,2),18679(a,2,2,2))]. given #16890 (H,wt=41): 18676 (((x \ (x / y)) \ 1) \ x) * (z / (((x \ (x / y)) \ 1) \ x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [para(5034(a,1),18674(a,2,2,2))]. given #16891 (H,wt=37): 18682 ((x \ (x / y)) * x) * (z / ((x \ (x / y)) * x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [hyper(18675,a,18676,a)]. given #16892 (H,wt=43): 18681 ((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(4184(a,1),18680(a,2,1))]. given #16893 (H,wt=42): 18683 ((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(705(a,1),18681(a,1,1,1))]. given #16894 (H,wt=42): 18684 ((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(12921(a,1),18683(a,1,1))]. given #16895 (H,wt=41): 18685 ((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(705(a,1),18684(a,1,2,2,1))]. given #16896 (H,wt=41): 18686 ((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(12921(a,1),18685(a,1,2,2))]. given #16897 (H,wt=31): 18687 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = ((x * y) / x) * (z / ((x * y) / x)). [hyper(240,a,12914,a(flip),b,18686,a(flip))]. given #16898 (H,wt=27): 18689 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = T(y,x) * (z / T(y,x)). [hyper(240,a,18680,a(flip),b,18687,a)]. given #16899 (H,wt=23): 18690 ((x \ y) * x) * (z / ((x \ y) * x)) = T(y,x) * (z / T(y,x)). [para(4184(a,1),18689(a,1,2,2))]. given #16900 (H,wt=33): 18691 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = T(x / y,x) * (z / T(x / y,x)). [hyper(240,a,18682,a(flip),b,18690,a(flip)),flip(a)]. given #16901 (H,wt=29): 18692 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). [hyper(240,a,12852,a(flip),b,18691,a)]. given #16902 (H,wt=29): 18693 ((x \ (x / y)) * x) * ((z / (x / y)) * K(x,y \ 1)) = (y \ x) * (z / (y \ x)). [para(9949(a,1),18692(a,1,2))]. given #16903 (H,wt=23): 18694 T((x / y) * (z / (x / y)),K(x,y)) = (y \ x) * (z / (y \ x)). [hyper(18613,a,18693,a)]. given #16904 (H,wt=21): 18695 x * K(y \ z,(x / z) * y) = (y \ z) * (x / (y \ z)). [hyper(240,a,18404,a(flip),b,18694,a(flip)),flip(a)]. given #16905 (H,wt=24): 18696 L(x \ y,x,z / y) * ((z / y) * x) = (x \ y) * (z / (x \ y)). [hyper(240,a,14061,a,b,18695,a(flip)),flip(a)]. given #16906 (H,wt=23): 18697 L(x,y,T(z,(z / u) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(18696(a,1),13012(a,1,3)),flip(a)]. given #16907 (H,wt=23): 18698 L(x,y,T(z,(u \ z) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(9526(a,1),18697(a,1,3))]. given #16908 (H,wt=21): 18699 L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,u \ z)). [hyper(240,a,13902,a(flip),b,18698,a(flip))]. given #16909 (H,wt=71): 14175 ((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(401,a,11802,a(flip),b,14092,a),flip(a)]. given #16910 (H,wt=71): 18700 ((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(11802(a,1),14175(a,2,1,2))]. given #16911 (H,wt=67): 18701 ((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(17917(a,1),18700(a,2,1))]. given #16912 (H,wt=65): 18702 ((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(15054(a,1),18701(a,2,1))]. given #16913 (H,wt=65): 18703 ((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(11802(a,1),18702(a,2,2))]. given #16914 (H,wt=65): 18704 ((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(240,a,18513,a(flip),b,18703,a)]. given #16915 (H,wt=61): 18705 ((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(240,a,18562,a(flip),b,18704,a)]. given #16916 (H,wt=59): 18706 ((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(5078(a,1),18705(a,2,2))]. given #16917 (H,wt=59): 18707 ((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(240,a,6964,a,b,18706,a)]. given #16918 (H,wt=57): 18708 ((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(240,a,8031,a(flip),b,18707,a)]. given #16919 (H,wt=53): 18709 ((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(240,a,14923,a(flip),b,18708,a)]. given #16920 (H,wt=51): 18711 ((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(240,a,14958,a(flip),b,18709,a)]. given #16921 (H,wt=51): 18712 (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(11802(a,1),18711(a,1,1))]. given #16922 (H,wt=51): 18713 (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(17678(a,1),18712(a,1,2,2,2))]. given #16923 (H,wt=51): 18714 (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(18511(a,1),18713(a,1,2,2,2))]. given #16924 (H,wt=47): 18715 (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(18561(a,1),18714(a,1,2,2,2))]. given #16925 (H,wt=45): 18716 (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(14945(a,1),18715(a,1,2,2,2))]. given #16926 (H,wt=32): 18717 K(x,L(y / T(z,u * w),z \ x,K(w \ u,(u \ w) * z))) = K(x,y / T(z,w \ u)). [hyper(14211,a,18716,a)]. given #16927 (H,wt=22): 18718 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,w * u)) = v5. [para(18717(a,1),16122(a,1))]. given #16928 (H,wt=22): 18719 K(x,y / T(z,u / w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(15249(a,2),18718(a,1))]. given #16929 (H,wt=21): 18720 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,u \ w)). [hyper(18719,a,18348,a)]. given #16930 (H,wt=19): 18721 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(240,a,16591,a(flip),b,18720,a(flip))]. given #16931 (H,wt=20): 18725 K(x,y * T(z,z \ u)) != w | K(x,y * T(z,u)) = w. [para(18721(a,2),12785(a,1))]. given #16932 (H,wt=20): 18727 K(x,y * ((z \ u) \ u)) != w | K(x,y * T(z,u)) = w. [para(123(a,1),18725(a,1,2,2))]. given #16933 (H,wt=21): 18723 K(x,(y / z) * T(z,u * w)) = K(x,y * K(z,u \ w)). [para(5928(a,1),18721(a,1,2)),flip(a)]. given #16934 (H,wt=19): 18728 K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). [para(5928(a,1),18723(a,1,2)),flip(a)]. given #16935 (H,wt=23): 18722 K(x,y * T(z,u \ (w * v5))) = K(x,y * T(z,(w \ u) * v5)). [hyper(240,a,16929,a(flip),b,18721,a(flip)),flip(a)]. given #16936 (H,wt=23): 18730 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(240,a,18721,a(flip),b,18722,a(flip))]. given #16937 (H,wt=25): 18726 K(x,K(y,z)) * K(x,z * T(y,u * w)) = K(x,T(y,u \ w) * z). [para(18721(a,1),14839(a,1,2))]. given #16938 (H,wt=19): 18732 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). [hyper(15203,a,18726,a),flip(a)]. given #16939 (H,wt=23): 18733 x / (K(y,T(z,u * w) * v5) * x) = K(T(z,u \ w) * v5,y). [para(18732(a,1),5184(a,1,2,1))]. given #16940 (H,wt=19): 18734 K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w). [hyper(16329,a,18733,a),flip(a)]. given #16941 (H,wt=23): 18735 K(T((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * u,w). [hyper(240,a,14690,a(flip),b,18734,a(flip))]. given #16942 (H,wt=29): 18724 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * ((z \ 1) * T(z,u \ w))). [para(6320(a,1),18721(a,1,2)),flip(a)]. given #16943 (H,wt=29): 18729 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). [hyper(240,a,16521,a,b,18728,a(flip)),flip(a)]. given #16944 (H,wt=29): 18736 K((x * (y \ z)) * (((y \ z) * x) \ u),w) = K(K((y \ z) * x,z * y) * u,w). [para(4780(a,1),18735(a,1,1)),flip(a)]. given #16945 (H,wt=23): 18739 K(K((x \ y) * z,y * x) * u,w) = K(K(z,x \ y) * u,w). [para(10164(a,1),18736(a,1,1)),flip(a)]. given #16946 (H,wt=29): 18737 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z) * 1,z)). [hyper(240,a,16778,a,b,18724,a)]. given #16947 (H,wt=27): 18740 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z),z)). [para(12(a,1),18737(a,2,2,2,1))]. given #16948 (H,wt=25): 18741 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * K(u \ w,z)). [para(3189(a,1),18740(a,2,2,2))]. given #16949 (H,wt=23): 18742 K(x,y * ((z \ 1) * T(z,u * w))) = K(x,y * K(u \ w,z)). [para(6320(a,1),18741(a,1,2))]. given #16950 (H,wt=23): 18743 K(x,y * T(K(z * u,w) * 1,w)) = K(x,y * K(z \ u,w)). [hyper(240,a,16778,a,b,18742,a(flip)),flip(a)]. given #16951 (H,wt=21): 18744 K(x,y * T(K(z * u,w),w)) = K(x,y * K(z \ u,w)). [para(12(a,1),18743(a,1,2,2,1))]. given #16952 (H,wt=19): 18745 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). [para(3189(a,1),18744(a,1,2,2)),flip(a)]. given #16953 (H,wt=26): 18747 K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(18745(a,1),15057(a,1))]. given #16954 (H,wt=27): 18746 K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). [hyper(240,a,17763,a,b,18745,a(flip)),flip(a)]. given #16955 (H,wt=29): 18738 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,y * (z * K(u,v6 * v7))). [hyper(240,a,16385,a(flip),b,18729,a)]. given #16956 (H,wt=23): 18748 K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). [para(14918(a,1),18738(a,1,2,2,2))]. given #16957 (H,wt=25): 18749 K(x,y * ((z \ u) * K(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). [para(14083(a,1),18748(a,1,2,2)),flip(a)]. given #16958 (H,wt=23): 18750 K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). [para(14083(a,1),18749(a,1,2,2)),flip(a)]. given #16959 (H,wt=23): 18751 K(x,y * (z \ T(u * w,u * 1))) = K(x,y * (z \ (w * u))). [hyper(240,a,17043,a(flip),b,18750,a(flip))]. given #16960 (H,wt=21): 18752 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [para(12(a,1),18751(a,1,2,2,2,2))]. given #16961 (H,wt=21): 18753 K(x,y * (z \ ((u \ w) * u))) = K(x,y * (z \ T(w,u))). [para(14(a,1),18752(a,1,2,2,2,1)),flip(a)]. given #16962 (H,wt=29): 18755 K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). [hyper(10299,a,18753,a),flip(a)]. given #16963 (H,wt=27): 18756 K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). [para(12825(a,1),18755(a,1,2,1))]. given #16964 (H,wt=21): 18757 K(x,(y \ ((z \ u) * z)) * w) = K(x,(y \ T(u,z)) * w). [hyper(10299,a,18756,a),flip(a)]. given #16965 (H,wt=27): 18758 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (K(u \ z,u) * u)) * w). [para(4732(a,1),18757(a,1,2,1,2,1)),flip(a)]. given #16966 (H,wt=27): 18759 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (u * K(u \ z,u))) * w). [para(3191(a,1),18758(a,2,2,1,2))]. given #16967 (H,wt=27): 18760 K(x,(y \ T(z / (z / u),u)) * w) = K(x,((y \ u) * K(u \ z,u)) * w). [para(14181(a,1),18759(a,2,2,1))]. given #16968 (H,wt=27): 18761 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). [hyper(240,a,16574,a(flip),b,18760,a)]. given #16969 (H,wt=33): 18731 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * ((z \ 1) * T(z,(w \ u) * v5))). [para(6320(a,1),18730(a,1,2)),flip(a)]. given #16970 (H,wt=33): 18762 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z) * 1,z)). [hyper(240,a,16778,a,b,18731,a)]. given #16971 (H,wt=31): 18763 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),18762(a,2,2,2,1))]. given #16972 (H,wt=29): 18764 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * K((w \ u) * v5,z)). [para(3189(a,1),18763(a,2,2,2))]. given #16973 (H,wt=27): 18765 K(x,y * ((z \ 1) * T(z,u * (w * v5)))) = K(x,y * K((w \ u) * v5,z)). [para(6320(a,1),18764(a,1,2))]. given #16974 (H,wt=27): 18766 K(x,y * T(K(z * (u * w),v5) * 1,v5)) = K(x,y * K((u \ z) * w,v5)). [hyper(240,a,16778,a,b,18765,a(flip)),flip(a)]. given #16975 (H,wt=25): 18767 K(x,y * T(K(z * (u * w),v5),v5)) = K(x,y * K((u \ z) * w,v5)). [para(12(a,1),18766(a,1,2,2,1))]. given #16976 (H,wt=23): 18768 K(x,y * K((z \ u) * w,v5)) = K(x,y * K(u * (z * w),v5)). [para(3189(a,1),18767(a,1,2,2)),flip(a)]. given #16977 (H,wt=23): 18769 K(x,y * K(z * (u * w),w \ u)) = K(x,K(w \ u,z) * y). [hyper(240,a,18315,a(flip),b,18768,a(flip))]. given #16978 (H,wt=23): 18770 K(x,y * K(z * (u * w),w * u)) = K(x,K(w \ u,z) * y). [hyper(240,a,18728,a(flip),b,18769,a(flip)),flip(a)]. given #16979 (H,wt=19): 18771 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(18747,a,18770,a),flip(a)]. given #16980 (H,wt=22): 18772 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(18770(a,1),18747(a,1))]. given #16981 (H,wt=23): 18775 x / (K(y,K(z * u,w) * v5) * x) = K(K(z \ u,w) * v5,y). [para(18771(a,1),5184(a,1,2,1))]. given #16982 (H,wt=22): 18776 K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. [para(18775(a,1),5194(a,1))]. given #16983 (H,wt=23): 18777 K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). [hyper(18776,a,16481,a),flip(a)]. given #16984 (H,wt=23): 18778 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). [hyper(18776,a,18777,a),flip(a)]. given #16985 (H,wt=23): 18779 K(K(x * (y * z),x * y) * u,w) = K(K(z,y \ x) * u,w). [hyper(240,a,18739,a(flip),b,18778,a(flip))]. given #16986 (H,wt=19): 18780 K(K(x,y \ z) * u,w) = K(K(x,z * y) * u,w). [hyper(16487,a,18779,a),flip(a)]. given #16987 (H,wt=22): 18781 K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(18779(a,1),16487(a,1))]. given #16988 (H,wt=23): 18782 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,u * (z * y)) * w,v5). [hyper(16488,a,18780,a)]. given #16989 (H,wt=23): 18785 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y * u)) * w,v5). [hyper(18781,a,18782,a)]. given #16990 (H,wt=24): 18773 K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). [hyper(240,a,17726,a(flip),b,18771,a(flip))]. given #16991 (H,wt=19): 18787 K(x,y \ K(z,u \ w)) = K(x,y \ K(z,u * w)). [hyper(240,a,17726,a(flip),b,18773,a(flip))]. given #16992 (H,wt=25): 18774 K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). [hyper(240,a,17650,a(flip),b,18771,a(flip))]. given #16993 (H,wt=23): 18788 K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). [hyper(240,a,17650,a(flip),b,18774,a(flip))]. given #16994 (H,wt=25): 18783 K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). [hyper(240,a,16444,a(flip),b,18780,a(flip))]. given #16995 (H,wt=23): 18790 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(240,a,16444,a(flip),b,18783,a(flip))]. given #16996 (H,wt=25): 18784 (x * y) / (K(K(z,u * w) * v5,x) * y) = T(x,K(z,w \ u) * v5). [para(18780(a,1),5083(a,1,2,1))]. given #16997 (H,wt=19): 18792 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(5162,a,18784,a),flip(a)]. given #16998 (H,wt=26): 18793 T(x,K(y,(z \ u) * w) * v5) != v6 | T(x,K(y,z \ (u / w)) * v5) = v6. [para(18792(a,1),16525(a,1))]. given #16999 (H,wt=27): 18789 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). [hyper(240,a,18761,a,b,18788,a(flip)),flip(a)]. given #17000 (H,wt=25): 18794 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u,z))). [hyper(240,a,16498,a(flip),b,18789,a)]. given #17001 (H,wt=23): 18795 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ T(u,z)) * w). [hyper(240,a,16577,a(flip),b,18794,a)]. given #17002 (H,wt=21): 18796 K(x,(y \ (z / (z / u))) * w) = K(x,(y \ T(u,z)) * w). [para(284(a,1),18795(a,1,2,1,2))]. given #17003 (H,wt=29): 18786 (x * y) / (K(K(z,u * (w * v5)) * v6,x) * y) = T(x,K(z,(w \ u) * v5) * v6). [para(18785(a,1),5083(a,1,2,1))]. given #17004 (H,wt=23): 18797 T(x,K(y,(z \ u) * w) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(5162,a,18786,a),flip(a)]. given #17005 (H,wt=23): 18798 T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(18793,a,18797,a)]. given #17006 (H,wt=24): 18799 T(x,K(y,z * (a(u,w,v5) * v6)) * v7) = T(x,K(z * v6,y) * v7). [hyper(18542,a,18798,a),flip(a)]. given #17007 (H,wt=24): 18800 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u * a(v6,v7,v8),w) * v5). [hyper(15687,a,18799,a),flip(a)]. given #17008 (H,wt=20): 18801 T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(y,v5) * v6). [hyper(15680,a,18800,a),flip(a)]. given #17009 (H,wt=20): 18802 T(x,K(a(y,z,u) * w,v5) * v6) = T(x,K(w,v5) * v6). [hyper(15313,a,18801,a)]. given #17010 (H,wt=20): 18804 T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). [hyper(14643,a,18802,a)]. given #17011 (H,wt=26): 18805 K(K(a(x,y,z) * u,w) * v5,v6) = (v6 * v7) / (T(v6,K(u,w) * v5) * v7). [para(18802(a,1),5070(a,1,2,1)),flip(a)]. given #17012 (H,wt=23): 18807 K(K(a(x,y,z) * u,w) * v5,v6) != v7 | K(K(u,w) * v5,v6) = v7. [para(18805(a,2),5089(a,1))]. given #17013 (H,wt=31): 18806 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(18520,a,18804,a),flip(a)]. given #17014 (H,wt=29): 18810 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(240,a,16483,a(flip),b,18806,a(flip)),flip(a)]. given #17015 (H,wt=25): 18811 T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ v5)). [hyper(240,a,16571,a(flip),b,18810,a(flip))]. given #17016 (H,wt=31): 18808 K(K(x,y) * (((a(z,u,w) * x) * v5) \ v6),v7) = K((T(a(z,u,w) * x,y) * v5) \ v6,v7). [hyper(18807,a,16974,a)]. given #17017 (H,wt=29): 18813 K((T(a(x,y,z) * u,w) * v5) \ v6,v7) = K(((a(x,y,z) * T(u,w)) * v5) \ v6,v7). [hyper(17034,a,18808,a),flip(a)]. given #17018 (H,wt=27): 18814 K((T(a(x,y,z) * u,w) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). [hyper(240,a,17250,a(flip),b,18813,a)]. given #17019 (H,wt=25): 18815 K(((a(x,y,z) * u) * w) \ v5,v6) = K((u * (a(x,y,z) * w)) \ v5,v6). [hyper(240,a,17004,a(flip),b,18814,a(flip))]. given #17020 (H,wt=31): 18809 K(K(x,y) * (z \ ((a(u,w,v5) * x) * v6)),v7) = K(z \ (T(a(u,w,v5) * x,y) * v6),v7). [hyper(18807,a,16962,a)]. given #17021 (H,wt=29): 18817 K(x \ (T(a(y,z,u) * w,v5) * v6),v7) = K(x \ ((a(y,z,u) * T(w,v5)) * v6),v7). [hyper(240,a,17940,a(flip),b,18809,a(flip))]. given #17022 (H,wt=27): 18818 K(x \ (T(a(y,z,u) * w,v5) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). [hyper(240,a,17251,a(flip),b,18817,a)]. given #17023 (H,wt=28): 18819 K(x \ ((a(y,z,u) * w) * v5),v6) != v7 | K(x \ (w * (a(y,z,u) * v5)),v6) = v7. [para(18818(a,1),14736(a,1))]. given #17024 (H,wt=33): 18816 K((x * (a(y,z,u) * (T(a(y,z,u) \ 1,x) / w))) \ x,v5) = K(w,L(v5,x,a(y,z,u) * x)). [hyper(240,a,17241,a(flip),b,18815,a(flip))]. given #17025 (H,wt=31): 18820 K((a(x,y,z) * (T(a(x,y,z) \ 1,u) / w)) \ 1,v5) = K(w,L(v5,u,a(x,y,z) * u)). [hyper(6162,a,18816,a)]. given #17026 (H,wt=31): 18821 K((T(a(x,y,z) \ 1,u) / w) \ (a(x,y,z) \ 1),v5) = K(w,L(v5,u,a(x,y,z) * u)). [hyper(13803,a,18820,a)]. given #17027 (H,wt=24): 18823 K(x * K(y,a(z,u,w) \ 1),v5) = K(x,L(v5,y,a(z,u,w) * y)). [para(14105(a,1),18821(a,1,1))]. given #17028 (H,wt=22): 18824 K(x,L(y,z,a(u,w,v5) * z)) = K(x * a(u,w,K(v5,z)),y). [para(14286(a,1),18823(a,1,1,2)),flip(a)]. given #17029 (H,wt=15): 18825 K(x,L(y,z,a(u,w,v5) * z)) = K(x,y). [hyper(240,a,16390,a(flip),b,18824,a)]. given #17030 (H,wt=32): 18828 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,a(y,z,u) * x) \ w,v5). [hyper(240,a,11323,a(flip),b,18825,a(flip)),flip(a)]. given #17031 (H,wt=32): 18830 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,x * a(y,z,u)) \ w,v5). [para(4192(a,1),18828(a,2,1,1))]. given #17032 (H,wt=30): 18831 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(L(x,z,K(u,y)) \ w,v5). [para(16834(a,1),18830(a,2,1,1))]. given #17033 (H,wt=25): 18832 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(x \ w,v5). [hyper(240,a,16839,a(flip),b,18831,a)]. given #17034 (H,wt=25): 18833 K((x * (a(y,z,u) * x)) \ (x * (a(y,z,u) * w)),v5) = K(x \ w,v5). [hyper(18819,a,18832,a)]. given #17035 (H,wt=25): 18835 K(a(x,y,z) \ (u \ (u \ (u * (a(x,y,z) * w)))),v5) = K(u \ w,v5). [hyper(18094,a,18833,a)]. given #17036 (H,wt=21): 18836 K(a(x,y,z) \ (u \ (a(x,y,z) * w)),v5) = K(u \ w,v5). [para(13(a,1),18835(a,1,1,2,2))]. given #17037 (H,wt=34): 18803 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(18801(a,1),18627(a,2,2,1))]. given #17038 (H,wt=24): 18838 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = K(x,K(v7,v5) * v8). [hyper(240,a,15472,a(flip),b,18803,a)]. given #17039 (H,wt=24): 18840 K(x,K(T(a(y,z,u),w) * v5,T(v6,v7)) * v8) = K(x,K(v6,v5) * v8). [para(7142(a,1),18838(a,1,2,1))]. given #17040 (H,wt=22): 18841 K(x,K(y * a(z,u,w),T(v5,v6)) * v7) = K(x,K(v5,y) * v7). [para(10353(a,1),18840(a,1,2,1))]. given #17041 (H,wt=20): 18842 K(x,y * K(z * a(u,w,v5),v6)) = K(x,K(v6,z) * y). [hyper(15284,a,18841,a)]. given #17042 (H,wt=24): 18843 K(x * K(y * a(z,u,w),v5),v6) = v7 / (K(v6,K(v5,y) * x) * v7). [para(18842(a,1),5184(a,1,2,1)),flip(a)]. given #17043 (H,wt=20): 18844 K(x * K(y * a(z,u,w),v5),v6) = K(K(v5,y) * x,v6). [hyper(240,a,16328,a(flip),b,18843,a)]. given #17044 (H,wt=23): 18845 K(K(x,y) * z,u) != w | K(K(y * a(v5,v6,v7),x) * z,u) = w. [para(18844(a,1),14933(a,1))]. given #17045 (H,wt=32): 18846 K(K(x * a(y,z,u),w) * (((v5 * w) \ v6) * v7),v8) = K(((v5 * (x / (x / w))) \ v6) * v7,v8). [hyper(18845,a,17873,a)]. given #17046 (H,wt=30): 18847 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * (z / (z / y))) \ v6) * v7,v8). [hyper(240,a,17871,a(flip),b,18846,a(flip)),flip(a)]. given #17047 (H,wt=28): 18848 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * T(y,z)) \ v6) * v7,v8). [hyper(240,a,17874,a(flip),b,18847,a)]. given #17048 (H,wt=31): 18849 K((((a(x,y,z) * u) * T(w,u)) \ v5) * v6,v7) = K(((w * (a(x,y,z) * u)) \ v5) * v6,v7). [para(16089(a,1),18848(a,1,1,1,1)),flip(a)]. given #17049 (H,wt=29): 18850 K((((a(x,y,z) * u) * w) \ v5) * v6,v7) = K(((u * (a(x,y,z) * w)) \ v5) * v6,v7). [para(17235(a,1),18849(a,1,1,1,1))]. given #17050 (H,wt=33): 18851 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),18850(a,2,1,1))]. given #17051 (H,wt=24): 18852 K(K(x,T(a(y,z,u),w)) * v5,v6) = K(a(x,a(y,z,u),w) * v5,v6). [para(10072(a,1),18851(a,1,1,1))]. given #17052 (H,wt=22): 18853 K(a(x,a(y,z,u),w) * v5,v6) = K(K(x,a(y,z,u)) * v5,v6). [hyper(15274,a,18852,a),flip(a)]. given #17053 (H,wt=15): 18855 K(a(x,a(y,z,u),w) * v5,v6) = K(v5,v6). [hyper(240,a,16396,a(flip),b,18853,a)]. given #17054 (H,wt=21): 18857 T(x,a(y,a(z,u,w),v5) * v6) = (x * v7) / (K(v6,x) * v7). [para(18855(a,1),5083(a,1,2,1)),flip(a)]. given #17055 (H,wt=15): 18858 T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). [hyper(240,a,5083,a(flip),b,18857,a)]. given #17056 (H,wt=15): 18859 T(x,a(y,a(z,u,w),v5) \ v6) = T(x,v6). [para(14(a,1),18858(a,1,2)),flip(a)]. given #17057 (H,wt=15): 18861 T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). [para(18022(a,1),18858(a,1,2))]. given #17058 (H,wt=25): 18860 (a(x,a(y,z,u),w) * v5) * T(v6,v5) = v6 * (a(x,a(y,z,u),w) * v5). [para(18858(a,1),122(a,1,2))]. given #17059 (H,wt=23): 18862 (a(x,a(y,z,u),w) * v5) * v6 = v5 * (a(x,a(y,z,u),w) * v6). [hyper(17237,a,18860,a)]. given #17060 (H,wt=23): 18863 T(a(x,a(y,z,u),w) * v5,v6) = a(x,a(y,z,u),w) * T(v5,v6). [hyper(17245,a,18862,a)]. given #17061 (H,wt=23): 18864 (a(x,a(y,z,u),w) * v5) \ v6 = a(x,a(y,z,u),w) \ (v5 \ v6). [hyper(73,a,58,a(flip),b,18862,a)]. given #17062 (H,wt=23): 18870 (x * a(y,a(z,u,w),v5)) * v6 = x * (a(y,a(z,u,w),v5) * v6). [para(18022(a,1),18862(a,1,1))]. given #17063 (H,wt=21): 18873 x / (a(y,a(z,u,w),v5) \ 1) = x * a(y,a(z,u,w),v5). [hyper(75,a,56,a(flip),b,18870,a)]. given #17064 (H,wt=23): 18871 a(x,a(y,z,u),w) \ T(a(x,a(y,z,u),w) * v5,v6) = T(v5,v6). [hyper(73,a,18863,a,b,xx)]. given #17065 (H,wt=23): 18872 (x * y) / (a(z,a(u,w,v5),v6) \ y) = x * a(z,a(u,w,v5),v6). [hyper(75,a,91,a(flip),b,18870,a)]. given #17066 (H,wt=23): 18874 T(x / (a(y,a(z,u,w),v5) \ 1),1) = x * a(y,a(z,u,w),v5). [hyper(240,a,150,a,b,18873,a(flip)),flip(a)]. given #17067 (H,wt=25): 18876 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = (y * T(y \ v7,x)) \ v7. [para(18871(a,1),8493(a,1,1,2)),flip(a)]. given #17068 (H,wt=21): 18878 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = K(x,y \ v7). [hyper(240,a,7134,a(flip),b,18876,a)]. given #17069 (H,wt=26): 18866 R(a(x,a(y,z,u),w),v5,v6) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. [hyper(73,a,18862,a(flip),b,118,a)]. given #17070 (H,wt=30): 18868 (a(x,a(y,z,u),w) * v5) * v6 != v7 * v8 | v7 \ (v5 * (a(x,a(y,z,u),w) * v6)) = v8. [para(18862(a,2),517(a,1))]. given #17071 (H,wt=31): 18875 T(x / (x * a(y,a(z,u,w),v5)),x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. [para(18873(a,1),10147(a,1,1,2))]. given #17072 (H,wt=31): 18877 T(x / (a(y,a(z,u,w),v5) \ 1),a(v6,a(v7,v8,v9),v10) \ 1) = x * a(y,a(z,u,w),v5). [hyper(240,a,18859,a,b,18874,a(flip)),flip(a)]. given #17073 (H,wt=21): 18881 (a(x,a(y,z,u),w) \ 1) \ v5 = v5 * a(x,a(y,z,u),w). [hyper(387,a,18877,a)]. given #17074 (H,wt=21): 18882 x / (x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. [para(18881(a,1),62(a,1,2))]. given #17075 (H,wt=29): 18880 T((a(x,a(y,z,u),w) \ 1) * v5,a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ v5. [hyper(693,a,18877,a)]. given #17076 (H,wt=21): 18884 (a(x,a(y,z,u),w) \ 1) * v5 = a(x,a(y,z,u),w) \ v5. [hyper(240,a,18020,a(flip),b,18880,a(flip)),flip(a)]. given #17077 (H,wt=29): 18883 T(a(x,a(y,z,u),w) \ 1,v5 * a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ 1. [para(18882(a,1),18875(a,1,1))]. given #17078 (H,wt=21): 18887 T(a(x,a(y,z,u),w) \ 1,v5) = a(x,a(y,z,u),w) \ 1. [hyper(240,a,18861,a(flip),b,18883,a(flip)),flip(a)]. given #17079 (H,wt=21): 18890 x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [para(18887(a,1),17426(a,1,2))]. given #17080 (H,wt=19): 18892 K(x,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). [para(18890(a,1),18878(a,1,2,1))]. given #17081 (H,wt=29): 18889 ((x * a(y,z,u)) * w) \ (1 * (x * (a(y,z,u) * w))) = a(x,a(y,z,u),w) \ 1. [hyper(240,a,17257,a,b,18887,a(flip)),flip(a)]. given #17082 (H,wt=27): 18893 ((x * a(y,z,u)) * w) \ (x * (a(y,z,u) * w)) = a(x,a(y,z,u),w) \ 1. [para(11(a,1),18889(a,1,2))]. given #17083 (H,wt=32): 18865 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = T(R(a(z,a(u,w,v5),v6),y,x),x * y). [hyper(401,a,18862,a(flip),b,10048,a),flip(a)]. given #17084 (H,wt=32): 18879 (a(x,a(y,z,u),w) * v5) * v6 != v7 * v8 | T(v7,v8) = v8 \ (v5 * (a(x,a(y,z,u),w) * v6)). [para(122(a,1),18868(a,2)),flip(b)]. given #17085 (H,wt=32): 18894 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(T(a(z,a(u,w,v5),v6),x * y),y,x). [hyper(240,a,42,a,b,18865,a)]. given #17086 (H,wt=28): 18895 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(a(z,a(u,w,v5),v6),y,x). [para(18024(a,1),18894(a,2,1))]. given #17087 (H,wt=25): 18896 L(T(a(x,a(y,z,u),w),T(v5,v6)),v5,v6) = R(a(x,a(y,z,u),w),v6,v5). [hyper(240,a,10197,a(flip),b,18895,a(flip)),flip(a)]. given #17088 (H,wt=21): 18898 R(a(x,a(y,z,u),w),v5,v6) = L(a(x,a(y,z,u),w),v6,v5). [para(18024(a,1),18896(a,1,1)),flip(a)]. given #17089 (H,wt=34): 18867 (a(x,a(y,z,u),w) * (v5 * v6)) \ (v5 * (a(x,a(y,z,u),w) * v6)) = a(a(x,a(y,z,u),w),v5,v6). [hyper(73,a,18862,a(flip),b,94,a)]. given #17090 (H,wt=34): 18901 a(x,a(y,z,u),w) \ ((v5 * v6) \ (v5 * (a(x,a(y,z,u),w) * v6))) = a(a(x,a(y,z,u),w),v5,v6). [hyper(240,a,18864,a(flip),b,18867,a(flip)),flip(a)]. given #17091 (H,wt=31): 18902 a(x,a(y,z,u),w) \ L(T(a(x,a(y,z,u),w),v5),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). [para(189(a,1),18901(a,1,2))]. given #17092 (H,wt=29): 18903 a(x,a(y,z,u),w) \ L(a(x,a(y,z,u),w),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). [para(18024(a,1),18902(a,1,2,1))]. given #17093 (H,wt=35): 18754 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) * (y \ 1)). [para(4953(a,1),18752(a,1,2)),flip(a)]. given #17094 (H,wt=33): 18905 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) / y). [hyper(240,a,13587,a(flip),b,18754,a)]. given #17095 (H,wt=31): 18906 K(x,(y \ K(z \ (u * w),y \ 1)) * (z \ (u * w))) = K(x,(z \ T(w * u,w)) / y). [para(12738(a,1),18905(a,1,2,1,2))]. given #17096 (H,wt=23): 18907 K(x,(y \ T(z * u,z)) / w) = K(x,(y \ (u * z)) * (w \ 1)). [para(4953(a,1),18906(a,1,2)),flip(a)]. given #17097 (H,wt=24): 18908 K(x,(y \ T(z * u,z)) / w) != v5 | K(x,(y \ (u * z)) / w) = v5. [para(18907(a,2),13799(a,1))]. given #17098 (H,wt=35): 18826 K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) = K(w,L(L(v5,v6,a(v7,v8,v9) * v6),u,a(x,y,z))). [hyper(18090,a,18825,a),flip(a)]. given #17099 (H,wt=25): 18909 K((x / y) \ x,z) = K(y,L(L(z,u,a(w,v5,v6) * u),x,a(v7,v8,v9))). [hyper(240,a,18836,a(flip),b,18826,a(flip)),flip(a)]. given #17100 (H,wt=21): 18910 K(x,L(L(y,z,a(u,w,v5) * z),v6,a(v7,v8,v9))) = K(x,y). [hyper(8065,a,18909,a),flip(a)]. given #17101 (H,wt=13): 18912 K(x,L(y,z,a(u,w,v5))) = K(x,y). [hyper(10099,a,18910,a)]. given #17102 (H,wt=11): 18914 a(x,y,K(a(z,u,w),v5)) = 1. [hyper(74,a,18912,a,b,13625,a),flip(a)]. given #17103 (H,wt=11): 18915 a(a(x,y,z),u,K(w,v5)) = 1. [hyper(74,a,18912,a,b,11277,a),flip(a)]. given #17104 (H,wt=11): 18917 a(x,y,K(z,a(u,w,v5))) = 1. [hyper(74,a,18912,a(flip),b,13627,a),flip(a)]. given #17105 (H,wt=11): 18918 K(x,a(a(y,z,u),w,v5)) = 1. [hyper(74,a,18912,a(flip),b,13496,a),flip(a)]. given #17106 (H,wt=11): 18919 K(x,a(y,z,a(u,w,v5))) = 1. [hyper(72,a,18912,a(flip),b,13715,a),flip(a)]. given #17107 (H,wt=11): 18921 a(K(x,a(y,z,u)),w,v5) = 1. [hyper(240,a,13600,a,b,18914,a(flip)),flip(a)]. given #17108 (H,wt=11): 18923 a(x,y,a(z,u,K(w,v5))) = 1. [para(13530(a,2),18914(a,1,3))]. given #17109 (H,wt=11): 18924 a(a(x,y,z),K(u,w),v5) = 1. [hyper(240,a,47,a,b,18915,a(flip)),flip(a)]. given #17110 (H,wt=11): 18926 a(a(x,y,K(z,u)),w,v5) = 1. [hyper(240,a,13644,a,b,18917,a(flip)),flip(a)]. given #17111 (H,wt=11): 18929 T(x,a(a(y,z,u),w,v5)) = x. [hyper(37,a,18918,a)]. given #17112 (H,wt=11): 18933 L(x,y,K(z,a(u,w,v5))) = x. [hyper(33,a,18921,a)]. given #17113 (H,wt=11): 18942 L(x,K(y,z),a(u,w,v5)) = x. [hyper(33,a,18924,a)]. given #17114 (H,wt=11): 18946 L(x,y,a(z,u,K(w,v5))) = x. [hyper(33,a,18926,a)]. given #17115 (H,wt=11): 18955 R(x,y,a(z,u,K(w,v5))) = x. [hyper(240,a,16659,a,b,18946,a(flip)),flip(a)]. given #17116 (H,wt=16): 18922 x * a(y,z,K(a(u,w,v5),v6)) != v7 | v7 = x. [para(18914(a,2),85(a,1,2))]. given #17117 (H,wt=14): 18964 L(a(x,y,z),u,K(w,v5)) = a(x,y,z). [hyper(18922,a,16840,a)]. given #17118 (H,wt=14): 18965 T(x,a(a(y,z,u),w,v5)) != v6 | v6 = x. [para(13714(a,1),18922(a,1))]. given #17119 (H,wt=14): 18967 L(x,y,K(z,a(u,w,v5))) != v6 | v6 = x. [para(16827(a,1),18922(a,1))]. given #17120 (H,wt=14): 18978 L(x,y,a(z,u,K(w,v5))) != v6 | v6 = x. [para(13491(a,2),18967(a,1,3))]. given #17121 (H,wt=16): 18927 x * a(y,z,K(u,a(w,v5,v6))) != v7 | v7 = x. [para(18917(a,2),85(a,1,2))]. given #17122 (H,wt=16): 18930 x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. [para(18918(a,2),85(a,1,2))]. given #17123 (H,wt=16): 18936 L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). [hyper(33,a,18923,a)]. given #17124 (H,wt=16): 18966 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,y) = v6. [para(13623(a,1),18922(a,1)),flip(b)]. given #17125 (H,wt=16): 18976 T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). [para(18964(a,1),16846(a,1,1)),flip(a)]. given #17126 (H,wt=16): 18979 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [hyper(240,a,11871,a,b,18936,a(flip)),flip(a)]. given #17127 (H,wt=16): 18984 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,z)). [hyper(240,a,13563,a(flip),b,18979,a)]. given #17128 (H,wt=16): 18985 a(x,y,K(L(z,u,w),v5)) = a(x,y,K(z,v5)). [para(11254(a,1),18979(a,1,3))]. given #17129 (H,wt=16): 18987 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(13813,a,18984,a)]. given #17130 (H,wt=16): 18995 a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(240,a,16994,a,b,18987,a(flip)),flip(a)]. given #17131 (H,wt=17): 18968 L(a(x,y,z),u,K(w,v5)) != v6 | a(x,y,z) = v6. [para(16840(a,1),18922(a,1)),flip(b)]. given #17132 (H,wt=17): 18974 L(a(x,y,z),u,T(w,v5)) = L(a(x,y,z),u,w). [para(18964(a,1),6389(a,1,1)),flip(a)]. given #17133 (H,wt=19): 18947 x / a(a(y,z,u),w,v5) = a(a(y,z,u),v5,w) \ x. [hyper(16993,a,18933,a),flip(a)]. given #17134 (H,wt=19): 18963 (x \ 1) * a(y,z,K(u,w)) = x \ a(y,z,K(u,w)). [para(18955(a,1),393(a,1,1)),flip(a)]. given #17135 (H,wt=17): 19000 L(x \ 1,y,K(z,u)) = x \ a(x,y,K(u,z)). [hyper(16927,a,18963,a)]. given #17136 (H,wt=18): 19004 L(a(x,y,z) \ 1,u,K(w,v5)) = a(x,y,z) \ 1. [para(18915(a,1),19000(a,2,2))]. given #17137 (H,wt=19): 18977 a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). [para(18964(a,1),16835(a,1,2))]. given #17138 (H,wt=19): 18990 a(x,y,K(z,L(u,w,v5))) != v6 | a(x,y,K(z,u)) = v6. [para(18984(a,2),13771(a,1))]. given #17139 (H,wt=19): 18994 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,v6,v7))). [hyper(240,a,18979,a,b,18987,a)]. given #17140 (H,wt=20): 18991 K(x,L(y,z,L(u,w,v5))) = a(u,z,K(y,x)) * K(x,y). [para(18984(a,1),13627(a,1,1)),flip(a)]. given #17141 (H,wt=16): 19009 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(240,a,11291,a(flip),b,18991,a)]. given #17142 (H,wt=15): 19011 K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). [hyper(240,a,13580,a(flip),b,19009,a)]. given #17143 (H,wt=14): 19014 K(x,L(y,z \ u,u \ z)) = K(x,y). [para(352(a,1),19011(a,1,2,3))]. given #17144 (H,wt=15): 19012 K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). [hyper(240,a,13571,a(flip),b,19009,a)]. given #17145 (H,wt=19): 19010 K(x,L(y,z,L(u,w,v5))) != v6 | K(x,L(y,z,u)) = v6. [para(18991(a,2),11298(a,1))]. given #17146 (H,wt=20): 19005 T(a(x,y,z) \ 1,L(u,w,v5)) = T(a(x,y,z) \ 1,u). [para(19004(a,1),16846(a,1,1)),flip(a)]. given #17147 (H,wt=21): 18916 K(x,(a(y,z,u) \ w) \ v5) = K(x,w \ (a(y,z,u) * v5)). [hyper(240,a,13948,a(flip),b,18912,a(flip))]. given #17148 (H,wt=21): 18920 (K(x,y) * z) * a(u,w,v5) = K(x,y) * (z * a(u,w,v5)). [para(18912(a,1),14459(a,1,1)),flip(a)]. given #17149 (H,wt=21): 18950 (K(x,y) * a(z,u,w)) \ v5 = K(y,x) * (a(z,u,w) \ v5). [hyper(240,a,16229,a(flip),b,18942,a(flip)),flip(a)]. given #17150 (H,wt=19): 19022 K(x,y) * (a(z,u,w) \ x) = a(z,u,w) \ T(x,y). [hyper(240,a,13522,a(flip),b,18950,a(flip))]. given #17151 (H,wt=21): 18951 (a(x,y,z) * K(u,w)) \ v5 = K(w,u) * (a(x,y,z) \ v5). [hyper(240,a,5202,a(flip),b,18942,a(flip)),flip(a)]. given #17152 (H,wt=21): 18956 (a(x,y,K(z,u)) * w) \ v5 = w \ (a(x,y,K(z,u)) \ v5). [hyper(240,a,235,a(flip),b,18946,a(flip)),flip(a)]. given #17153 (H,wt=21): 18958 (a(x,y,K(z,u)) * w) / v5 = a(x,y,K(z,u)) * (w / v5). [para(18946(a,1),501(a,1,2))]. given #17154 (H,wt=21): 18975 a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). [para(18964(a,1),16651(a,1,1))]. given #17155 (H,wt=21): 18981 a(L(x,y,z) * u,w,K(v5,x)) = a(L(x,y,z),w,K(u,v5)). [hyper(13884,a,18979,a),flip(a)]. given #17156 (H,wt=18): 19026 a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). [hyper(240,a,18987,a(flip),b,18981,a)]. given #17157 (H,wt=21): 18989 a(x,y,K((z * u) \ (z * w),v5)) = a(v5,y,K(x,u \ w)). [para(11253(a,2),18984(a,1,3))]. given #17158 (H,wt=21): 18997 R(x,y,z) * a(x,u,K(w,v5)) = L(R(x,y,z),u,K(w,v5)). [para(18995(a,1),16829(a,1,2))]. given #17159 (H,wt=21): 19007 a(x,y,K(z,L(u \ 1,w,v5))) = a(u,y,K(z,L(x,v6,v7))). [hyper(13811,a,18994,a),flip(a)]. given #17160 (H,wt=21): 19016 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [para(19012(a,1),13681(a,1,2))]. given #17161 (H,wt=21): 19024 (a(x,y,K(z,u)) * w) \ v5 = w \ (a(u,y,K(z,x)) * v5). [para(13619(a,1),18956(a,2,2))]. given #17162 (H,wt=22): 18949 x / a(a(y,z,u),w,v5) != v6 | a(a(y,z,u),v5,w) \ x = v6. [para(18933(a,1),16993(a,1))]. given #17163 (H,wt=22): 19023 K(L(x,y,z),u) * (a(z,y,x) \ x) = T(a(z,y,x) \ x,u). [hyper(240,a,18449,a(flip),b,18951,a(flip))]. given #17164 (H,wt=22): 19032 K(x,L(y,z,u)) * (a(u,z,x) \ x) = T(a(u,z,x) \ x,y). [hyper(240,a,11314,a(flip),b,19023,a(flip)),flip(a)]. given #17165 (H,wt=20): 19033 a(x,y,z) \ T(z,L(u,y,x)) = T(a(x,y,z) \ z,u). [hyper(240,a,19022,a(flip),b,19032,a(flip)),flip(a)]. given #17166 (H,wt=23): 19015 K(x,((y \ z) * (z \ y)) \ u) = K(x,(z \ y) \ ((y \ z) \ u)). [para(235(a,1),19014(a,1,2))]. given #17167 (H,wt=23): 19019 K(x,(a(y,z,u) \ (w \ 1)) \ v5) = K(x,w * (a(y,z,u) * v5)). [hyper(240,a,13578,a(flip),b,18916,a)]. given #17168 (H,wt=21): 19036 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,(y \ 1) \ v7). [hyper(240,a,18892,a(flip),b,19019,a(flip))]. given #17169 (H,wt=19): 19037 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,y * v7). [hyper(240,a,13578,a(flip),b,19036,a)]. given #17170 (H,wt=19): 19038 K(x,y * (z * a(u,a(w,v5,v6),v7))) = K(x,y * z). [hyper(16406,a,19037,a)]. given #17171 (H,wt=20): 19039 K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * y). [hyper(240,a,18181,a(flip),b,19038,a(flip)),flip(a)]. given #17172 (H,wt=24): 19008 a(x,y,K(z,L(u \ 1,w,v5))) != v6 | a(u,y,K(z,L(x,v7,v8))) = v6. [para(18994(a,1),13811(a,1))]. given #17173 (H,wt=24): 19017 K(x,L(y,z,(u * w) \ v5)) != v6 | K(x,L(y,z,w \ (u \ v5))) = v6. [para(235(a,1),19010(a,1,2,3))]. given #17174 (H,wt=24): 19018 x \ (x * T(a(y,z,u) \ 1,L(w,v5,v6))) = T(a(y,z,u) \ 1,w). [hyper(240,a,13,a,b,19005,a(flip)),flip(a)]. given #17175 (H,wt=17): 19043 T(a(x,y,z) \ 1,z) = z \ (a(x,y,z) \ z). [para(18451(a,1),19018(a,1,2)),flip(a)]. given #17176 (H,wt=15): 19044 x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. [hyper(240,a,13205,a(flip),b,19043,a(flip))]. given #17177 (H,wt=15): 19045 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [para(19044(a,1),14(a,1,2))]. given #17178 (H,wt=24): 19028 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,z)). [para(19026(a,1),14071(a,2,2))]. given #17179 (H,wt=22): 19046 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = L(u,y,K(z,x)). [hyper(240,a,16840,a(flip),b,19028,a)]. given #17180 (H,wt=24): 19042 K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). [hyper(19017,a,16174,a)]. given #17181 (H,wt=22): 19049 K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). [hyper(240,a,13955,a(flip),b,19042,a(flip))]. given #17182 (H,wt=25): 18973 L(a(x,y,z) * K(u,a(x,y,z)),w,K(v5,v6)) * u = u * a(x,y,z). [para(18964(a,1),4843(a,2,2))]. given #17183 (H,wt=25): 19051 L(a(x,y,z) * a(u,y,K(z,x)),w,K(v5,v6)) * u = u * a(x,y,z). [para(13564(a,2),18973(a,1,1,1,2))]. given #17184 (H,wt=22): 19052 L(T(a(x,y,z),u \ 1),w,K(v5,v6)) * u = u * a(x,y,z). [para(13772(a,1),19051(a,1,1,1))]. given #17185 (H,wt=17): 19053 T(a(x,y,z),u \ 1) * u = u * a(x,y,z). [para(329(a,1),19052(a,1,1))]. given #17186 (H,wt=26): 19020 K(x,(a(y,z,u) \ (w \ 1)) \ v5) != v6 | K(x,w * (a(y,z,u) * v5)) = v6. [para(18916(a,2),13780(a,1))]. given #17187 (H,wt=26): 19050 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / (x * (x \ y))) * x),z). [hyper(240,a,11327,a,b,19049,a),flip(a)]. given #17188 (H,wt=22): 19054 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / y) * x),z). [para(14(a,1),19050(a,2,1,2,1,2))]. given #17189 (H,wt=19): 19055 K(((x / y) * z) / x,u) = K(x / ((x / z) * y),u). [hyper(240,a,11372,a(flip),b,19054,a(flip)),flip(a)]. given #17190 (H,wt=23): 19056 x / (K(y / ((y / z) * u),w) * x) = K(w,((y / u) * z) / y). [para(19055(a,1),5184(a,1,2,1))]. given #17191 (H,wt=19): 19057 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(16329,a,19056,a),flip(a)]. given #17192 (H,wt=24): 19058 K(x,L(y / (z / u),y,y \ z)) = K(x,((z / (y \ z)) * u) / z). [hyper(240,a,14539,a,b,19057,a),flip(a)]. given #17193 (H,wt=20): 19059 K(x,L(y / (z / u),y,y \ z)) = K(x,(y * u) / z). [para(62(a,1),19058(a,2,2,1,1))]. given #17194 (H,wt=27): 18992 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,w)). [hyper(240,a,11439,a,b,18985,a(flip)),flip(a)]. given #17195 (H,wt=24): 19064 a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). [para(13950(a,1),18992(a,1,3))]. given #17196 (H,wt=22): 19065 a(x,y * ((y \ z) * x),K(u,L(w,v5,v6))) = a(w,z,K(x,u)). [hyper(19008,a,19064,a)]. given #17197 (H,wt=24): 19067 x * L(x \ y,y,K(z,L(u,x,w))) = y * a(x \ y,x,K(z,u)). [para(19065(a,1),18423(a,1,2)),flip(a)]. given #17198 (H,wt=27): 19002 a(x,y,K(z,u)) * ((w \ 1) * K(v5,v6)) = (w \ a(x,y,K(z,u))) * K(v5,v6). [para(18963(a,1),17475(a,1,1)),flip(a)]. given #17199 (H,wt=25): 19070 (x \ a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x \ K(v5,v6)). [para(13577(a,1),19002(a,1,2)),flip(a)]. given #17200 (H,wt=27): 19003 x \ (R(x,y,z) * a(x,u,K(w,v5))) = R(x,y,z) * L(x \ 1,u,K(v5,w)). [para(19000(a,2),1163(a,2,2))]. given #17201 (H,wt=25): 19072 R(x,y,z) * L(x \ 1,u,K(w,v5)) = x \ L(R(x,y,z),u,K(v5,w)). [para(18997(a,1),19003(a,1,2)),flip(a)]. given #17202 (H,wt=27): 19034 K(x,((y * z) \ y) \ ((y \ (y * z)) \ u)) = K(x,(z * ((y * z) \ y)) \ u). [para(13(a,1),19015(a,1,2,1,1)),flip(a)]. given #17203 (H,wt=23): 19073 K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ (y \ u)). [para(13(a,1),19034(a,1,2,2,1)),flip(a)]. given #17204 (H,wt=27): 19035 K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(13(a,1),19015(a,1,2,1,2)),flip(a)]. given #17205 (H,wt=23): 19075 K(x,(((y * z) \ y) * z) \ u) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),19035(a,1,2,1)),flip(a)]. given #17206 (H,wt=28): 18960 (((x * y) * z) * a(u,w,K(v5,v6))) / ((y * z) * a(u,w,K(v5,v6))) = R(x,y,z). [hyper(814,a,18955,a)]. given #17207 (H,wt=28): 19041 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,K(v6,z) * ((y / z) \ v8)). [hyper(240,a,18746,a,b,19039,a(flip)),flip(a)]. given #17208 (H,wt=26): 19076 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,(y / T(z,v6)) \ v8). [hyper(240,a,17675,a(flip),b,19041,a)]. given #17209 (H,wt=24): 19077 K(x,(y / T(z,a(u,w,v5) \ v6)) \ v7) = K(x,(y / T(z,v6)) \ v7). [hyper(240,a,17765,a(flip),b,19076,a(flip)),flip(a)]. given #17210 (H,wt=28): 19060 a((x / y) \ z,z,K(u,z \ x)) \ K(u,(z * y) / x) = K(u,z / (x / y)). [hyper(73,a,19059,a(flip),b,16201,a)]. given #17211 (H,wt=28): 19078 a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). [para(17980(a,1),19060(a,1,1))]. given #17212 (H,wt=28): 19079 a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [hyper(13962,a,19078,a)]. given #17213 (H,wt=28): 19080 a(x,y,K(z \ (y * u),z / y)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(18358(a,1),19079(a,1,1,3))]. given #17214 (H,wt=28): 19081 a(x,y,K(z \ (y * u),y \ z)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(16197(a,1),19080(a,1,1))]. given #17215 (H,wt=24): 19082 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(11427(a,1),19081(a,1,1))]. given #17216 (H,wt=28): 19083 (x * a(x,y,K(z,y \ u))) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(19082(a,1),7328(a,2,2))]. given #17217 (H,wt=26): 19085 L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(16829(a,1),19083(a,1,1))]. given #17218 (H,wt=26): 19086 L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [hyper(17992,a,19085,a)]. given #17219 (H,wt=24): 19087 L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [para(4800(a,2),19086(a,1,1))]. given #17220 (H,wt=22): 19088 L(T(x,(y * z) / u),y,K(z,y \ u)) = T(x,y / (u / z)). [hyper(240,a,4800,a,b,19087,a)]. given #17221 (H,wt=26): 19089 K(x,L((y * z) / u,y,z \ 1)) = (w \ x) \ (w \ T(x,y / (u / z))). [para(19088(a,1),17482(a,1,2,2)),flip(a)]. given #17222 (H,wt=23): 19090 K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. [para(19089(a,2),14095(a,1))]. given #17223 (H,wt=20): 19091 K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). [hyper(19090,a,14022,a(flip)),flip(a)]. given #17224 (H,wt=23): 19092 K(x,((y * z) * (z \ 1)) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(240,a,14448,a(flip),b,19091,a(flip)),flip(a)]. given #17225 (H,wt=22): 19093 K(x,R(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [para(203(a,1),19092(a,1,2,1))]. given #17226 (H,wt=22): 19094 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(17114,a,19093,a)]. given #17227 (H,wt=29): 19025 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). [para(18975(a,1),18916(a,1,2,1))]. given #17228 (H,wt=29): 19068 x * a(y \ x,y,K(y \ z,u)) = x * a(x \ y,z,K((w * z) \ (w * y),u)). [hyper(240,a,17068,a(flip),b,19067,a(flip))]. given #17229 (H,wt=25): 19098 x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). [para(18989(a,1),19068(a,2,2))]. given #17230 (H,wt=29): 19096 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,K(v6,v5) * (w \ (a(y,z,u) * v7))). [hyper(240,a,17561,a(flip),b,19025,a)]. given #17231 (H,wt=29): 19099 K(x,K(y,z) * ((a(u,w,v5) \ v6) \ v7)) = K(x,K(y,z) * (v6 \ (a(u,w,v5) * v7))). [hyper(17591,a,19096,a)]. given #17232 (H,wt=31): 19029 L((x \ y) \ y,z,u) * (((x \ y) \ y) \ K(x,x \ y)) = L((x \ y) \ y,z,u) / x. [hyper(240,a,6177,a(flip),b,19016,a(flip))]. given #17233 (H,wt=27): 19101 L((x \ y) \ y,z,u) * (((y / x) \ y) \ 1) = L((x \ y) \ y,z,u) / x. [para(14157(a,1),19029(a,1,2))]. given #17234 (H,wt=23): 19102 L((x \ y) \ y,z,u) * (x \ 1) = L((x \ y) \ y,z,u) / x. [para(65(a,1),19101(a,1,2,1))]. given #17235 (H,wt=23): 19103 L((x \ y) \ y,z,u) * (x \ 1) = x \ L((x \ y) \ y,z,u). [hyper(240,a,14065,a(flip),b,19102,a)]. given #17236 (H,wt=31): 19104 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). [hyper(240,a,17499,a,b,19103,a(flip)),flip(a)]. given #17237 (H,wt=29): 19105 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [hyper(240,a,4626,a(flip),b,19104,a)]. given #17238 (H,wt=25): 19106 a(x / T(y,y \ 1),y,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [para(4711(a,1),19105(a,1,1))]. given #17239 (H,wt=33): 19048 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(19046(a,1),107(a,1,2,2)),flip(a)]. given #17240 (H,wt=33): 19071 T(x,(y * K(z,u)) / (w \ a(v5,v6,K(v7,v8)))) = T(x,y / (a(v5,v6,K(v7,v8)) * (w \ K(u,z)))). [para(19070(a,1),16117(a,2,2,2))]. given #17241 (H,wt=34): 19013 K(x,L(L(y,z,u) * (y \ w),y \ w,(y \ w) \ w)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [hyper(240,a,13763,a(flip),b,19009,a(flip))]. given #17242 (H,wt=30): 19107 K(x,L(L(y,z,u) * (y \ w),y \ w,y)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [hyper(16202,a,19013,a)]. given #17243 (H,wt=27): 19109 K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(y * (L(y,u,w) \ 1)) \ z). [hyper(14025,a,19107,a),flip(a)]. given #17244 (H,wt=25): 19110 K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(L(y,u,w) \ y) \ z). [para(1304(a,1),19109(a,2,2,1))]. given #17245 (H,wt=21): 19111 K(x,(L(y,z,u) \ y) \ w) = K(x,L(y,z,u) * (y \ w)). [para(605(a,1),19110(a,1,2)),flip(a)]. given #17246 (H,wt=23): 19112 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). [para(3648(a,1),19111(a,1,2,1)),flip(a)]. given #17247 (H,wt=35): 18993 L(L(x,y,z),u,K(w,v5)) * T(v6,a(v5,u,K(L(x,y,z),w))) = L(x,y,z) * (v6 * a(v5,u,K(x,w))). [para(18985(a,1),17270(a,2,2,2))]. given #17248 (H,wt=25): 19113 L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. [para(16060(a,1),18993(a,1,2)),flip(a)]. given #17249 (H,wt=36): 18886 R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (x * (a(y,a(z,u,w),v5) \ 1)) * v6. [para(18884(a,1),118(a,1,2))]. given #17250 (H,wt=34): 19114 R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (a(y,a(z,u,w),v5) \ x) * v6. [para(18890(a,1),18886(a,2,1))]. given #17251 (H,wt=34): 19115 ((a(x,a(y,z,u),w) \ v5) * v6) / (a(x,a(y,z,u),w) \ v6) = R(v5,a(x,a(y,z,u),w) \ 1,v6). [hyper(90,a,19114,a)]. given #17252 (H,wt=30): 19116 R(x,a(y,a(z,u,w),v5) \ 1,v6) = (a(y,a(z,u,w),v5) \ x) * a(y,a(z,u,w),v5). [hyper(240,a,18872,a(flip),b,19115,a(flip))]. given #17253 (H,wt=14): 19118 R(x,a(y,a(z,u,w),v5) \ 1,v6) = x. [hyper(240,a,18026,a(flip),b,19116,a)]. given #17254 (H,wt=23): 19120 (a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6). [para(19118(a,1),19114(a,1,1)),flip(a)]. given #17255 (H,wt=36): 19100 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(240,a,17649,a(flip),b,19099,a(flip))]. given #17256 (H,wt=34): 19122 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(240,a,17601,a(flip),b,19100,a(flip)),flip(a)]. given #17257 (H,wt=29): 19123 K(x,(y / T(z,z \ y)) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(240,a,19077,a(flip),b,19122,a(flip)),flip(a)]. given #17258 (H,wt=25): 19125 K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(w \ v5) \ (a(y,z,u) * v6)). [para(209(a,1),19123(a,1,2,1)),flip(a)]. given #17259 (H,wt=27): 19126 x * K(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). [para(19125(a,1),4800(a,2,2)),flip(a)]. given #17260 (H,wt=25): 19127 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,(w \ v5) \ (a(y,z,u) * v6)). [hyper(4803,a,19126,a),flip(a)]. given #17261 (H,wt=37): 18791 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(5848(a,1),18790(a,1,1,2)),flip(a)]. given #17262 (H,wt=37): 18869 (a(x,a(y,z,u),w) * (v5 * v6)) \ (v5 * (a(x,a(y,z,u),w) * v6)) != v7 | a(a(x,a(y,z,u),w),v5,v6) = v7. [para(18862(a,1),669(a,1,2))]. given #17263 (H,wt=37): 19001 T(x,L((y / a(z,u,K(w,v5))) / (v6 \ 1),v6 \ 1,a(z,u,K(w,v5)))) = T(x,y / (v6 \ a(z,u,K(w,v5)))). [para(18963(a,1),14439(a,2,2,2))]. given #17264 (H,wt=37): 19095 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(73,a,19094,a(flip),b,8148,a)]. given #17265 (H,wt=32): 19130 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)). [para(12625(a,1),19095(a,1,1)),flip(a)]. given #17266 (H,wt=30): 19132 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) \ K(x,u / (y / z)). [para(14858(a,1),19130(a,2,1))]. given #17267 (H,wt=30): 19134 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) * K(x,u / (y / z)). [hyper(240,a,7538,a(flip),b,19132,a)]. given #17268 (H,wt=22): 19135 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(240,a,15005,a(flip),b,19134,a)]. given #17269 (H,wt=18): 19136 K(x,(y * (z \ 1)) \ L(y,z,z \ 1)) = K(x,z). [para(65(a,1),19135(a,2,2))]. given #17270 (H,wt=16): 19137 K(x,(y \ 1) \ a(z,y,y \ 1)) = K(x,y). [hyper(240,a,18052,a(flip),b,19136,a(flip)),flip(a)]. given #17271 (H,wt=14): 19138 K(x,y * a(z,y,y \ 1)) = K(x,y). [hyper(13780,a,19137,a)]. given #17272 (H,wt=16): 19139 T(x,y * a(z,y,y \ 1)) = x * K(x,y). [para(19138(a,1),4800(a,2,2))]. given #17273 (H,wt=14): 19141 T(x,y * a(z,y,y \ 1)) = T(x,y). [hyper(240,a,4800,a,b,19139,a)]. given #17274 (H,wt=25): 19143 x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). [para(19141(a,1),3921(a,1,2,1))]. given #17275 (H,wt=23): 19144 K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 1),y). [hyper(5090,a,19143,a)]. given #17276 (H,wt=27): 19140 ((1 / x) \ a(y,x,x \ 1)) * K(x \ 1,x) = a(y,x,x \ 1) / (1 / x). [para(19138(a,1),9020(a,1,2))]. given #17277 (H,wt=21): 19146 a(x,y,y \ 1) / (y \ 1) = (1 / y) \ a(x,y,y \ 1). [hyper(18,a,6067,a,b,19140,a),flip(a)]. given #17278 (H,wt=28): 19145 T(x * a(y,x,x \ 1),z) != u * w | u \ (T(x,z) * a(y,x,x \ 1)) = w. [para(19144(a,1),5104(a,1))]. given #17279 (H,wt=30): 19142 (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. [para(19141(a,1),520(a,1,2))]. given #17280 (H,wt=21): 19148 (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. [hyper(19142,a,17247,a)]. given #17281 (H,wt=11): 19149 L(x,a(y,x,x \ 1),z) = x. [hyper(240,a,14276,a(flip),b,19148,a(flip)),flip(a)]. given #17282 (H,wt=21): 19150 (a(x,y,y \ 1) * z) * y = z * (y * a(x,y,y \ 1)). [para(19148(a,1),14(a,1,2))]. given #17283 (H,wt=21): 19151 (x * a(y,z,z \ 1)) * z = x * (z * a(y,z,z \ 1)). [para(13544(a,1),19150(a,1,1))]. given #17284 (H,wt=35): 19147 (1 / x) \ (T(1 / x,x) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [hyper(19145,a,754,a(flip))]. given #17285 (H,wt=33): 19152 (1 / x) \ ((x \ 1) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(124(a,1),19147(a,1,2,1))]. given #17286 (H,wt=29): 19153 (1 / x) \ ((x \ 1) * a(y,1 / x,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(65(a,1),19152(a,1,2,2,3))]. given #17287 (H,wt=29): 19154 (1 / x) \ ((x \ 1) * a(y,x \ 1,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(4712(a,1),19153(a,1,2,2))]. given #17288 (H,wt=27): 19155 (x \ a(y,1 / x,(1 / x) \ 1)) * x = K(x \ 1,x) * a(y,x \ 1,x). [hyper(5579,a,19154,a),flip(a)]. given #17289 (H,wt=23): 19156 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,x)) * x. [para(65(a,1),19155(a,1,1,2,3)),flip(a)]. given #17290 (H,wt=23): 19157 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,x \ 1,x)) * x. [para(4712(a,1),19156(a,2,1,2))]. given #17291 (H,wt=27): 19160 K(x \ 1,x) * (a(y,x \ 1,x) * z) = ((x \ a(y,x \ 1,x)) * x) * z. [para(19157(a,1),3562(a,1,1)),flip(a)]. given #17292 (H,wt=27): 19161 (x * L(x \ 1,x,y * (x \ 1))) \ z = ((x \ a(y,x \ 1,x)) * x) * z. [hyper(240,a,18235,a,b,19160,a(flip)),flip(a)]. given #17293 (H,wt=27): 19162 ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y)) \ z. [para(10602(a,1),19161(a,1,1,2)),flip(a)]. given #17294 (H,wt=33): 19159 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [hyper(240,a,18650,a,b,19157,a(flip)),flip(a)]. given #17295 (H,wt=29): 19163 T((x \ 1) * (L(x \ 1,x,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(2545(a,1),19159(a,1,1,2,1))]. given #17296 (H,wt=27): 19164 T(L(x \ 1,x,y) \ (x \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(1304(a,1),19163(a,1,1))]. given #17297 (H,wt=25): 19165 (x \ a((x \ 1) \ y,x \ 1,x)) * x = x \ (L(1 / x,x,y) \ 1). [hyper(240,a,17105,a(flip),b,19164,a(flip))]. given #17298 (H,wt=23): 19167 (x \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. [para(19165(a,1),19162(a,1,1))]. given #17299 (H,wt=23): 19168 x * (y \ (L(1 / y,y,z) \ 1)) = (y * L(y \ 1,y,z)) \ x. [hyper(240,a,17102,a(flip),b,19167,a(flip)),flip(a)]. given #17300 (H,wt=25): 19166 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = (x \ a(y,x \ 1,x)) * x. [para(17360(a,1),19165(a,1,1,2)),flip(a)]. given #17301 (H,wt=23): 19169 x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. [para(18129(a,1),19166(a,1,2))]. given #17302 (H,wt=37): 19128 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(240,a,5272,a(flip),b,18791,a)]. given #17303 (H,wt=35): 19171 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(14134(a,1),19128(a,2,1,2))]. given #17304 (H,wt=33): 19172 K(x * ((K(y,y \ K(z,u \ w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(17436(a,1),19171(a,1,1,2,1,1))]. given #17305 (H,wt=33): 19173 K(x * ((K(y,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(18787(a,1),19172(a,1,1,2,1,1))]. given #17306 (H,wt=33): 19174 K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). [para(17664(a,1),19173(a,1,1,2))]. given #17307 (H,wt=27): 19175 K(x * (y * ((y \ K(z,u * w)) * y)),v5) = K(x * (K(z,w \ u) * y),v5). [para(16559(a,1),19174(a,1,1,2,2))]. given #17308 (H,wt=25): 19176 K(x * (K(y,z * u) / (1 / w)),v5) = K(x * (K(y,u \ z) * w),v5). [para(18164(a,1),19175(a,1,1,2))]. given #17309 (H,wt=25): 19177 K(x * (K(y,z * u) / (w \ 1)),v5) = K(x * (K(y,u \ z) * w),v5). [hyper(5849,a,19176,a)]. given #17310 (H,wt=23): 19178 K(x * (K(y,z \ u) * w),v5) = K(x * (K(y,u * z) * w),v5). [para(14134(a,1),19177(a,1,1,2)),flip(a)]. given #17311 (H,wt=27): 19179 x / (K(y * (K(z,u * w) * v5),v6) * x) = K(v6,y * (K(z,w \ u) * v5)). [para(19178(a,1),5184(a,1,2,1))]. given #17312 (H,wt=23): 19180 K(x,y * (K(z,u \ w) * v5)) = K(x,y * (K(z,w * u) * v5)). [hyper(16329,a,19179,a),flip(a)]. given #17313 (H,wt=29): 19181 K(x,((y * z) \ u) * (K(w,z * w) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [hyper(240,a,18473,a(flip),b,19180,a(flip))]. given #17314 (H,wt=29): 19182 K(x,((y * z) \ u) * (K(w,w * z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(6682(a,1),19181(a,1,2,2,1))]. given #17315 (H,wt=27): 19183 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,u) * v5)). [hyper(240,a,12916,a(flip),b,19182,a(flip))]. given #17316 (H,wt=25): 19184 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(240,a,18472,a(flip),b,19183,a)]. given #17317 (H,wt=35): 19185 K(x,((y * T(z,u)) \ w) * T(v5,(y * ((u \ z) * u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [hyper(240,a,15297,a(flip),b,19184,a(flip))]. given #17318 (H,wt=33): 19186 K(x,((y * T(z,u)) \ w) * T(v5,(y * T(z,u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(17762(a,1),19185(a,1,2,2))]. given #17319 (H,wt=25): 19187 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(240,a,15297,a(flip),b,19186,a(flip))]. given #17320 (H,wt=25): 19188 K(x,y * (((z * u) \ w) * K(u,v5))) = K(x,y * ((z * T(u,v5)) \ w)). [hyper(18470,a,19187,a)]. given #17321 (H,wt=25): 19189 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(240,a,18468,a,b,19188,a(flip)),flip(a)]. given #17322 (H,wt=35): 19190 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,K(v5,y * (u * w))) * K(x,v5 * ((y * T(u,z)) \ w)). [para(19189(a,1),18360(a,1,2)),flip(a)]. given #17323 (H,wt=25): 19191 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(240,a,18111,a(flip),b,19190,a)]. given #17324 (H,wt=31): 19192 K(x,((y * ((y * z) / R(y,u,y))) \ w) * v5) = K(x,((L(y,u,y) * T(z,y)) \ w) * v5). [para(12905(a,1),19191(a,1,2,1,1))]. given #17325 (H,wt=26): 19193 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,(T(y * u,y) \ w) * v5). [hyper(18225,a,19192,a),flip(a)]. given #17326 (H,wt=24): 19194 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,((u * y) \ w) * v5). [hyper(240,a,17811,a(flip),b,19193,a)]. given #17327 (H,wt=22): 19195 K(x,((y * L(z,u,z)) \ w) * v5) = K(x,((y * z) \ w) * v5). [para(9128(a,1),19194(a,1,2,1,1))]. given #17328 (H,wt=28): 19196 K(x,((y * L(z / y,u,z / y)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(10188(a,1),19195(a,2,2,1))]. given #17329 (H,wt=28): 19197 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(6935(a,1),19196(a,1,2,1,1,2))]. given #17330 (H,wt=26): 19198 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ T(y,z)) * w). [hyper(240,a,18796,a(flip),b,19197,a)]. given #17331 (H,wt=24): 19199 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(y / z) * w). [hyper(240,a,16461,a(flip),b,19198,a)]. given #17332 (H,wt=37): 19129 T(x,L((a(y,z,K(u,w)) * v5) / (v6 \ 1),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(16154(a,1),19001(a,1,2,1,1))]. given #17333 (H,wt=37): 19200 T(x,L(a(y,z,K(u,w)) * (v5 / (v6 \ 1)),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(18958(a,1),19129(a,1,2,1))]. given #17334 (H,wt=27): 19201 T(x,a(y,z,K(u,w)) * (v5 / (v6 \ 1))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(18946(a,1),19200(a,1,2))]. given #17335 (H,wt=20): 19202 T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y / (z \ 1)). [hyper(240,a,16365,a(flip),b,19201,a(flip))]. given #17336 (H,wt=18): 19205 T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y * z). [hyper(240,a,13758,a(flip),b,19202,a)]. given #17337 (H,wt=26): 19206 T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,(y * K(v8,v7)) * v6). [hyper(240,a,19071,a(flip),b,19205,a(flip)),flip(a)]. given #17338 (H,wt=26): 19208 T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,K(v8,v7) * (y * v6)). [hyper(240,a,16531,a(flip),b,19206,a)]. given #17339 (H,wt=19): 19209 T(x,y / (z \ K(u,w))) = T(x,K(w,u) * (y * z)). [para(7344(a,1),19208(a,1,2,2))]. given #17340 (H,wt=29): 19210 T(x,K(y,z) * (T(u,w \ T(z,y)) * (w \ z))) = T(x,((w \ z) \ K(z,y)) \ u). [hyper(240,a,18525,a(flip),b,19209,a(flip))]. given #17341 (H,wt=27): 19211 T(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [hyper(240,a,16473,a(flip),b,19210,a(flip)),flip(a)]. given #17342 (H,wt=21): 19212 T(x,((y \ z) \ K(z,u)) \ w) = T(x,(y \ T(z,u)) * w). [hyper(10308,a,19211,a),flip(a)]. given #17343 (H,wt=21): 19213 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). [hyper(16532,a,19212,a)]. given #17344 (H,wt=25): 19214 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ T(z * y,y)) * w). [hyper(14646,a,19213,a)]. given #17345 (H,wt=21): 19216 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (u * z)) * w). [hyper(240,a,16536,a(flip),b,19214,a(flip))]. given #17346 (H,wt=25): 19215 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ T(y * z,z)) * w). [hyper(14642,a,19213,a)]. given #17347 (H,wt=23): 19217 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (T(z,u) * u)) * w). [hyper(240,a,16537,a(flip),b,19215,a(flip))]. given #17348 (H,wt=31): 19218 T(T(x,K(y,z * (u * w))),(z \ T(w * u,u)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(16713,a,19217,a(flip)),flip(a)]. given #17349 (H,wt=29): 19219 T(T(x,K(y,z * (u * w))),(z \ (u * w)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(240,a,19216,a(flip),b,19218,a(flip)),flip(a)]. given #17350 (H,wt=21): 19220 T(x,y * (z \ (T(u,w) * w))) = T(x,y * (z \ (w * u))). [hyper(15626,a,19219,a),flip(a)]. given #17351 (H,wt=29): 19222 T(x,y * ((a(z,u,w) * v5) \ (v5 * v6))) = T(x,y * T(a(z,u,w) \ T(v6,v5),v5)). [para(17239(a,1),19220(a,1,2,2)),flip(a)]. given #17352 (H,wt=29): 19223 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),19222(a,1,2,2,2)),flip(a)]. given #17353 (H,wt=25): 19224 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). [hyper(240,a,18811,a(flip),b,19223,a(flip))]. given #17354 (H,wt=32): 19221 T(x,y * (((z * u) * w) \ (T(w,z * (u * w)) * (z * (u * w))))) = T(x,y * L(w,u,z)). [para(1616(a,2),19220(a,2,2,2))]. given #17355 (H,wt=31): 19226 T(x,y * T(a(z,u,w) \ T(w,z * (u * w)),z * (u * w))) = T(x,y * L(w,u,z)). [para(17257(a,1),19221(a,1,2,2))]. given #17356 (H,wt=19): 19227 T(x,y * (a(z,u,w) \ w)) = T(x,y * L(w,u,z)). [hyper(240,a,18811,a(flip),b,19226,a(flip)),flip(a)]. given #17357 (H,wt=38): 18829 K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) != v6 | K(w,L(L(v5,v7,a(v8,v9,v10) * v7),u,a(x,y,z))) = v6. [para(18825(a,1),18090(a,1))]. given #17358 (H,wt=38): 18980 (x * (y * a(z,u,K(w,v5)))) * L(v6,a(z,u,K(w,v5)),x * y) = (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6). [para(18936(a,1),453(a,1,2,2))]. given #17359 (H,wt=28): 19229 (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6) = (x * (y * a(z,u,K(w,v5)))) * v6. [para(18603(a,1),18980(a,1,2)),flip(a)]. given #17360 (H,wt=25): 19230 (x * (y * a(z,u,K(w,v5)))) * v6 = (x * y) * (a(z,u,K(w,v5)) * v6). [para(18936(a,1),19229(a,1,2,1)),flip(a)]. given #17361 (H,wt=25): 19231 (x * (a(y,z,K(u,w)) * v5)) * v6 = (x * v5) * (a(y,z,K(u,w)) * v6). [para(16082(a,2),19230(a,1,1,2))]. given #17362 (H,wt=21): 19233 (x * y) * a(z,u,K(w,v5)) = x * (a(z,u,K(w,v5)) * y). [hyper(14004,a,19231,a)]. given #17363 (H,wt=21): 19234 a(x,y,K(z,u)) * (w * v5) = w * (a(x,y,K(z,u)) * v5). [hyper(18,a,17242,a,b,19231,a),flip(a)]. given #17364 (H,wt=21): 19235 K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. [para(19233(a,1),16383(a,1,2))]. given #17365 (H,wt=21): 19238 x \ (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x \ v5). [hyper(555,a,19234,a)]. given #17366 (H,wt=21): 19242 (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). [hyper(240,a,19024,a,b,19238,a(flip)),flip(a)]. given #17367 (H,wt=19): 19245 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. [para(16828(a,1),19242(a,1,1)),flip(a)]. given #17368 (H,wt=19): 19246 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [para(16842(a,1),19242(a,1,1)),flip(a)]. given #17369 (H,wt=19): 19247 (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. [hyper(240,a,16148,a(flip),b,19245,a(flip)),flip(a)]. given #17370 (H,wt=17): 19249 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(16927,a,19247,a)]. given #17371 (H,wt=19): 19250 K(L(x,y,K(z,u)) \ w,v5) != v6 | K(x \ w,v5) = v6. [para(19247(a,1),16391(a,1,1))]. given #17372 (H,wt=19): 19253 L(x \ 1,y * x,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(16917(a,1),19249(a,2,1))]. given #17373 (H,wt=19): 19254 L(x \ 1,y * x,K(z,u)) = L(x \ 1,y,K(z,u)). [hyper(240,a,19249,a,b,19253,a)]. given #17374 (H,wt=20): 19251 T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). [para(19247(a,1),16378(a,1,2,2))]. given #17375 (H,wt=20): 19252 L(x,y,K(z,u)) \ 1 != w | L(x \ 1,y,K(z,u)) = w. [para(19247(a,1),16927(a,1))]. given #17376 (H,wt=21): 19244 (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). [para(16152(a,1),19242(a,1,1))]. given #17377 (H,wt=21): 19256 T(x,y * (a(z,u,w) / v5)) = T(x,y * (v5 \ a(z,u,w))). [hyper(240,a,18152,a(flip),b,19251,a(flip)),flip(a)]. given #17378 (H,wt=22): 19236 (K(x,y) * z) \ (K(x,y) * (z * (a(x,z,K(u,y)) * u))) = u. [para(19233(a,1),17286(a,1,2,2))]. given #17379 (H,wt=15): 19260 L(a(x,y,K(z,u)) * z,y,K(x,u)) = z. [hyper(449,a,19236,a)]. given #17380 (H,wt=13): 19261 L(L(x,y,K(z,u)),y,K(u,z)) = x. [para(16841(a,1),19260(a,1,1))]. given #17381 (H,wt=13): 19262 T(L(x,y,K(z,u)),a(z,y,u)) = x. [hyper(16861,a,19261,a)]. given #17382 (H,wt=15): 19264 L(T(x,L(y,z,u)),z,K(y,u)) = T(x,y). [para(16866(a,1),19261(a,1,1))]. given #17383 (H,wt=13): 19267 T(x,L(y,z,a(u,w,v5))) = T(x,y). [hyper(18967,a,19264,a),flip(a)]. given #17384 (H,wt=18): 19265 L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. [para(19261(a,1),16835(a,1,2)),flip(a)]. given #17385 (H,wt=18): 19266 (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). [para(19262(a,1),177(a,1,1,2))]. given #17386 (H,wt=20): 19263 K(x,y) * (z * L(u,z,K(y,x))) = (K(x,y) * z) * u. [para(19261(a,1),106(a,1,2)),flip(a)]. given #17387 (H,wt=21): 19271 T(x,(a(y,z,u) \ w) \ v5) = T(x,w \ (a(y,z,u) * v5)). [para(454(a,1),19267(a,1,2)),flip(a)]. given #17388 (H,wt=23): 19240 a(x,y,K(z,u)) * (w * (v5 * z)) = w * (v5 * L(z,y,K(u,x))). [para(16863(a,1),19234(a,2,2))]. given #17389 (H,wt=25): 19248 a(x,y,K(z,u)) * (L(u,w,v5) \ v6) = L(L(u,w,v5),y,K(z,x)) \ v6. [para(18979(a,1),19245(a,1,1))]. given #17390 (H,wt=23): 19278 L(L(x,y,z),u,K(w,v5)) \ x = L(x,y,z) \ L(x,u,K(v5,w)). [hyper(17,a,16935,a,b,19248,a),flip(a)]. given #17391 (H,wt=25): 19259 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(a(u,w,v5) / z) * y). [hyper(240,a,18072,a(flip),b,19256,a(flip))]. given #17392 (H,wt=21): 19279 T(x,(a(y,z,u) / w) * v5) = T(x,(w \ a(y,z,u)) * v5). [hyper(240,a,18074,a(flip),b,19259,a(flip))]. given #17393 (H,wt=19): 19280 T(x,(y \ a(z,u,z)) * w) != v5 | T(x,y \ w) = v5. [para(19279(a,1),13988(a,1))]. given #17394 (H,wt=25): 19276 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,z / (a(u,w,v5) \ y)). [hyper(240,a,18075,a(flip),b,19271,a(flip))]. given #17395 (H,wt=21): 19282 T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). [hyper(240,a,18070,a(flip),b,19276,a(flip)),flip(a)]. given #17396 (H,wt=23): 19283 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,v5 / (a(z,u,w) \ y)). [hyper(240,a,18003,a,b,19282,a(flip)),flip(a)]. given #17397 (H,wt=23): 19284 T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,v5 / (a(y,z,u) \ w)). [hyper(240,a,17408,a(flip),b,19283,a(flip)),flip(a)]. given #17398 (H,wt=24): 19285 T(x,y / (a(z,u,w) \ v5)) != v6 | T(x,(v5 / y) \ a(z,u,w)) = v6. [para(19284(a,1),6088(a,1))]. given #17399 (H,wt=26): 19241 K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,v5)))) = v6. [para(13825(a,1),19235(a,1,2,2))]. given #17400 (H,wt=26): 19286 T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. [para(18530(a,2),19285(a,1))]. given #17401 (H,wt=27): 19274 L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. [para(19266(a,1),815(a,1,1,1))]. given #17402 (H,wt=28): 19237 ((x * y) * (a(z,u,K(w,v5)) * v6)) / ((y * v6) * a(z,u,K(w,v5))) = R(x,y,v6). [para(19233(a,1),18960(a,1,1))]. given #17403 (H,wt=28): 19287 ((x * y) * (a(z,u,K(w,v5)) * v6)) / (y * (a(z,u,K(w,v5)) * v6)) = R(x,y,v6). [para(19233(a,1),19237(a,1,2))]. given #17404 (H,wt=16): 19288 R(x,y,a(z,u,K(w,v5)) * v6) = R(x,y,v6). [hyper(483,a,19287,a)]. given #17405 (H,wt=14): 19289 R(x,L(y,z,K(u,w)),v5) = R(x,y,v5). [hyper(17461,a,19288,a)]. given #17406 (H,wt=14): 19290 R(x,y,L(z,u,K(w,v5))) = R(x,y,z). [para(16828(a,1),19288(a,1,3))]. given #17407 (H,wt=22): 19292 R(R(x,y,z),u,a(w,v5,K(v6,v7))) = R(x,y,L(z,v8,K(v9,v10))). [hyper(240,a,18955,a,b,19290,a),flip(a)]. given #17408 (H,wt=17): 19293 R(x,y,L(z,u,K(w,v5))) != v6 | R(x,y,z) = v6. [para(19292(a,1),342(a,1)),flip(b)]. given #17409 (H,wt=29): 19268 L(T(x,L((y * z) \ y,u,w)),z,K(L(z \ 1,u,w),y)) = T(x,L(z \ 1,u,w)). [para(359(a,1),19264(a,1,1,2))]. given #17410 (H,wt=29): 19272 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(19265(a,2),14502(a,2,2,2))]. given #17411 (H,wt=29): 19294 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(16506,a,19272,a)]. given #17412 (H,wt=28): 19295 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (L(y,u,K(z,w)) * a(z,u,w))). [hyper(240,a,14742,a(flip),b,19294,a(flip)),flip(a)]. given #17413 (H,wt=23): 19296 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (a(z,u,w) * y)). [para(19265(a,1),19295(a,2,2,2))]. given #17414 (H,wt=23): 19297 K(x,a(y,z,u) \ (w \ T(v5,w))) = K(x,v5 / (a(y,z,u) * w)). [hyper(18034,a,19296,a)]. given #17415 (H,wt=21): 19298 K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)). [hyper(240,a,17690,a(flip),b,19297,a(flip))]. given #17416 (H,wt=30): 19281 T(x,(y \ a(z,u,z)) * (a(w,v5,v6) \ (v7 \ v8))) = T(x,y \ ((a(w,v5,v6) * v7) \ v8)). [hyper(19280,a,19224,a),flip(a)]. given #17417 (H,wt=28): 19299 T(x,y \ ((a(z,u,w) * v5) \ v6)) != v7 | T(x,y \ (a(z,u,w) \ (v5 \ v6))) = v7. [para(19281(a,1),19280(a,1))]. given #17418 (H,wt=33): 19243 x \ ((a(y,z,K(u,w)) * v5) * L(v6,v5,a(y,z,K(u,w)))) = a(y,z,K(u,w)) * (x \ (v5 * v6)). [para(106(a,2),19238(a,1,2))]. given #17419 (H,wt=25): 19300 x \ ((a(y,z,K(u,w)) * v5) * v6) = a(y,z,K(u,w)) * (x \ (v5 * v6)). [para(18946(a,1),19243(a,1,2,2))]. given #17420 (H,wt=33): 19257 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(19244(a,1),14164(a,2,2,2))]. given #17421 (H,wt=29): 19301 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y / (K(w,L(v5,u,z)) * v6)). [para(17277(a,1),19257(a,1,2,2)),flip(a)]. given #17422 (H,wt=29): 19302 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(L(v5,u,z),w))). [hyper(240,a,14164,a(flip),b,19301,a)]. given #17423 (H,wt=29): 19303 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(v5,L(w,u,z)))). [para(11309(a,1),19302(a,2,2,2,2))]. given #17424 (H,wt=25): 19304 K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(u,w))) = v7. [para(19303(a,1),19235(a,1))]. given #17425 (H,wt=23): 19305 K(x,y / (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) \ K(v5,w))). [hyper(19304,a,18238,a),flip(a)]. given #17426 (H,wt=23): 19306 K(x,y / (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) \ K(w,u))). [hyper(240,a,17927,a,b,19305,a(flip)),flip(a)]. given #17427 (H,wt=23): 19307 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y * ((w \ v5) \ K(u,z))). [hyper(240,a,17283,a,b,19306,a(flip)),flip(a)]. given #17428 (H,wt=25): 19308 K(x,y * (((z / u) \ w) \ K(z,v5))) = K(x,y / ((T(z,v5) / u) \ w)). [para(13511(a,1),19307(a,1,2,2,1)),flip(a)]. given #17429 (H,wt=21): 19309 K(x,y / ((T(z,u) / u) \ w)) = K(x,y / ((u \ z) \ w)). [hyper(17785,a,19308,a),flip(a)]. given #17430 (H,wt=21): 19310 K(x,y / ((z / T(u,z)) \ w)) = K(x,y / ((u \ z) \ w)). [para(3954(a,1),19309(a,1,2,2,1))]. given #17431 (H,wt=36): 19255 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(19254(a,1),5738(a,1,1,1))]. given #17432 (H,wt=38): 19277 L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = (x * (y * L(z,w,K(v5,u)))) \ ((x * y) * L(z,w,K(v5,u))). [para(19240(a,1),16940(a,1,1)),flip(a)]. given #17433 (H,wt=26): 19311 L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = a(x,y,L(z,w,K(v5,u))). [hyper(240,a,24,a,b,19277,a)]. given #17434 (H,wt=14): 19312 a(x,y,L(z,u,K(w,v5))) = a(x,y,z). [hyper(18978,a,19311,a)]. given #17435 (H,wt=27): 19316 a(T(x,y),K(y,x) * z,u) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). [hyper(240,a,11538,a(flip),b,19312,a(flip))]. given #17436 (H,wt=39): 19084 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(13544(a,2),19082(a,1,2,2,1))]. given #17437 (H,wt=27): 19318 1 * K(x,(a(y,z,z \ 1) * u) / w) = K(x,u / (w / a(y,z,z \ 1))). [para(18914(a,1),19084(a,1,1))]. given #17438 (H,wt=39): 19315 (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,w). [hyper(240,a,9564,a,b,19312,a(flip)),flip(a)]. given #17439 (H,wt=40): 19062 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(13544(a,1),19059(a,2,2,1))]. given #17440 (H,wt=25): 19321 K(x,(y * a(z,u,u \ 1)) / w) = K(x,a(z,u,u \ 1) / (w / y)). [hyper(18033,a,19062,a),flip(a)]. given #17441 (H,wt=25): 19323 K(x,(y * a(z,u,u \ 1)) / w) = K(x,(w / y) \ a(z,u,u \ 1)). [hyper(240,a,16228,a(flip),b,19321,a)]. given #17442 (H,wt=25): 19324 K(x,(a(y,z,z \ 1) * u) / w) = K(x,(w / u) \ a(y,z,z \ 1)). [hyper(17020,a,19323,a)]. given #17443 (H,wt=27): 19325 1 * K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). [para(19324(a,1),19318(a,1,2))]. given #17444 (H,wt=25): 19326 K(x,y / (z / a(u,w,w \ 1))) = K(x,(z / y) \ a(u,w,w \ 1)). [hyper(77,a,19325,a),flip(a)]. given #17445 (H,wt=25): 19327 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,(w / y) \ a(z,u,u \ 1)). [para(13546(a,1),19326(a,1,2,2))]. given #17446 (H,wt=40): 19273 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(19265(a,1),16998(a,1,2,2,3,1))]. given #17447 (H,wt=35): 19328 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(19265(a,1),19273(a,2,1))]. given #17448 (H,wt=35): 19329 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(13563(a,2),19328(a,1,2,2))]. given #17449 (H,wt=42): 19006 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = K(v6,a(x,y,z)) * K(a(x,y,z),a(u,w,v5) * v6). [para(18977(a,1),17248(a,1,1,1))]. given #17450 (H,wt=31): 19330 K(x,a(y,z,u)) * K(a(y,z,u),a(w,v5,v6) * x) = a(a(y,z,u),a(w,v5,v6),x) \ 1. [hyper(240,a,18893,a(flip),b,19006,a(flip))]. given #17451 (H,wt=31): 19331 a(x,y,K(z,u)) * K(a(u,y,z),a(w,v5,v6) * x) = a(a(u,y,z),a(w,v5,v6),x) \ 1. [para(13564(a,2),19330(a,1,1))]. given #17452 (H,wt=31): 19332 a(x,y,K(z,u)) * a(u,y,K(z,a(w,v5,v6) * x)) = a(a(u,y,z),a(w,v5,v6),x) \ 1. [para(13530(a,2),19331(a,1,2))]. given #17453 (H,wt=42): 19275 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(19263(a,1),389(a,2,1))]. given #17454 (H,wt=42): 19333 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(19249(a,2),19275(a,1,1,1))]. given #17455 (H,wt=43): 18959 (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(18946(a,1),441(a,1,2,2,1))]. given #17456 (H,wt=43): 19074 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(2597(a,2),19034(a,2,2,1,2))]. given #17457 (H,wt=41): 19336 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(240,a,13260,a(flip),b,19074,a)]. given #17458 (H,wt=39): 19337 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(z * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(150(a,1),19336(a,2,2,1,1))]. given #17459 (H,wt=35): 19338 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(2303(a,1),19337(a,2,2,1))]. given #17460 (H,wt=35): 19339 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(240,a,19075,a(flip),b,19338,a)]. given #17461 (H,wt=31): 19340 K(x,((y * ((z \ 1) \ 1)) \ y) \ (((z \ 1) \ 1) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),19339(a,1,2,2,1))]. given #17462 (H,wt=27): 19341 K(x,((y * ((z \ 1) \ 1)) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(240,a,5520,a(flip),b,19340,a(flip)),flip(a)]. given #17463 (H,wt=23): 19343 K(x,((y * z) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(13891,a,19341,a)]. given #17464 (H,wt=23): 19344 K(x,(y * ((z * y) \ z)) \ u) = K(x,y \ (((z * y) \ z) \ u)). [hyper(240,a,19073,a,b,19343,a(flip)),flip(a)]. given #17465 (H,wt=43): 19334 (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(16082(a,1),18959(a,2,3))]. given #17466 (H,wt=43): 19335 (a(x,y,K(z,u)) * (w * v5)) \ (w * (a(x,y,K(z,u)) * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(17242(a,1),18959(a,1,2))]. given #17467 (H,wt=41): 19346 (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(16863(a,1),19335(a,1,1))]. given #17468 (H,wt=39): 19348 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(16860(a,1),19346(a,1,2,2)),flip(a)]. given #17469 (H,wt=29): 19349 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(240,a,28,a,b,19348,a)]. given #17470 (H,wt=43): 19345 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(240,a,19300,a(flip),b,19334,a(flip)),flip(a)]. given #17471 (H,wt=43): 19347 (a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * (a(x,y,K(z,u)) * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(19234(a,1),19335(a,1,2,2))]. given #17472 (H,wt=43): 19350 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(19242(a,1),19345(a,1,2))]. given #17473 (H,wt=38): 19352 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),19350(a,1,2,2)),flip(a)]. given #17474 (H,wt=24): 19353 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = L(x,y,z). [hyper(240,a,13620,a(flip),b,19352,a)]. given #17475 (H,wt=16): 19356 L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). [para(18946(a,1),19353(a,1,2))]. given #17476 (H,wt=16): 19358 L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). [para(11257(a,1),19356(a,1,3))]. given #17477 (H,wt=16): 19359 L(x,y,K(L(z,u,w),v5)) = L(x,y,K(z,v5)). [para(11300(a,1),19356(a,1,3)),flip(a)]. given #17478 (H,wt=14): 19365 L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. [para(19359(a,1),3877(a,1))]. given #17479 (H,wt=16): 19360 L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). [para(16082(a,2),19356(a,1,3))]. given #17480 (H,wt=20): 19366 L(x,y,z * K(u,L(w,v5,v6))) = L(x,y,z * K(u,w)). [para(16311(a,1),19360(a,1,3))]. given #17481 (H,wt=20): 19367 L(x,y,K(z,L(u,w,v5)) * v6) = L(x,y,v6 * K(z,u)). [hyper(17202,a,19366,a)]. given #17482 (H,wt=21): 19357 L(x,y,(z * u) * K(w,v5)) = L(x,y,z * (u * K(w,v5))). [para(94(a,1),19356(a,1,3))]. given #17483 (H,wt=22): 19363 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,R(y,z,u))). [hyper(240,a,17053,a(flip),b,19358,a(flip))]. given #17484 (H,wt=22): 19370 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,L(y,z,u))). [para(14442(a,1),19363(a,2,3))]. given #17485 (H,wt=19): 19371 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,y)). [hyper(240,a,19358,a(flip),b,19370,a)]. given #17486 (H,wt=17): 19372 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(17981,a,19371,a),flip(a)]. given #17487 (H,wt=17): 19377 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(240,a,17207,a(flip),b,19372,a(flip)),flip(a)]. given #17488 (H,wt=19): 19378 T(x,L(y,K(z,u) * w,v5)) = L(T(x,y),w,K(v5,y)). [hyper(240,a,16866,a(flip),b,19372,a(flip)),flip(a)]. given #17489 (H,wt=17): 19383 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). [hyper(240,a,16866,a(flip),b,19378,a)]. given #17490 (H,wt=17): 19385 T(x,L(y,z * u,w)) = T(x,L(y,u * z,w)). [para(4774(a,1),19383(a,1,2,2))]. given #17491 (H,wt=17): 19386 T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). [para(4832(a,1),19383(a,1,2,2))]. given #17492 (H,wt=19): 19379 L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). [para(5253(a,1),19372(a,1,2))]. given #17493 (H,wt=19): 19387 T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). [para(5057(a,1),19383(a,1,2,2)),flip(a)]. given #17494 (H,wt=20): 19373 L(L(x,y,z * u),u * y,K(u,z)) = L(x,y,u * z). [hyper(10600,a,19371,a),flip(a)]. given #17495 (H,wt=18): 19389 L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). [hyper(16886,a,19373,a)]. given #17496 (H,wt=20): 19375 L(x,K(y,z) * u,K(w,v5)) != v6 | L(x,u,K(w,v5)) = v6. [para(19371(a,1),17981(a,1))]. given #17497 (H,wt=21): 19384 T(x,L(y,T(z,u) \ w,v5)) = L(T(x,y),z \ w,K(v5,y)). [para(5078(a,1),19378(a,1,2,2))]. given #17498 (H,wt=22): 19382 L(L(x,y,K(z,u)),y,K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). [para(19377(a,1),18232(a,1,1))]. given #17499 (H,wt=22): 19388 L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). [para(16824(a,2),19379(a,1,2,2))]. given #17500 (H,wt=24): 19355 L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = L(x,y,z). [para(16082(a,2),19353(a,1,3))]. given #17501 (H,wt=14): 19392 L(x,L(y,z,K(u,w)),v5) = L(x,y,v5). [hyper(240,a,19349,a(flip),b,19355,a(flip)),flip(a)]. given #17502 (H,wt=24): 19361 L(L(x,y,K(z,u)),w,a(v5,v6,K(v7,v8))) = L(x,y,K(z,L(u,v9,v10))). [hyper(240,a,18946,a,b,19358,a),flip(a)]. given #17503 (H,wt=19): 19396 L(x,y,K(z,L(u,w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(19361(a,1),330(a,1)),flip(b)]. given #17504 (H,wt=19): 19397 L(x,y,K(L(z,u,w),v5)) != v6 | L(x,y,K(z,v5)) = v6. [para(11254(a,1),19396(a,1,3))]. given #17505 (H,wt=24): 19368 L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,v5)). [hyper(240,a,16619,a,b,19366,a(flip)),flip(a)]. given #17506 (H,wt=24): 19398 L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. [para(11318(a,1),19396(a,1,3))]. given #17507 (H,wt=26): 19362 L(x,y,z) * L(u,w,K(v5,L(x,y,z))) = L(L(x,y,z) * u,w,K(v5,x)). [hyper(240,a,18599,a(flip),b,19358,a(flip)),flip(a)]. given #17508 (H,wt=23): 19401 L(L(x,y,z) * u,w,K(v5,x)) = L(x,y,z) * L(u,w,K(v5,x)). [para(19358(a,1),19362(a,1,2)),flip(a)]. given #17509 (H,wt=22): 19402 L(L(x,y,z) * (x \ u),y,K(z,x)) = (u / x) * L(x,y,z). [hyper(16914,a,19401,a(flip)),flip(a)]. given #17510 (H,wt=21): 19406 K(x,L(y,z,u) * (y \ w)) = K(x,(w / y) * L(y,z,u)). [para(19402(a,1),16095(a,1,2)),flip(a)]. given #17511 (H,wt=23): 19407 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). [hyper(240,a,19112,a(flip),b,19406,a(flip))]. given #17512 (H,wt=21): 19408 K(x,a(y \ 1,y,z) \ u) = K(x,a(z,y,y \ 1) * u). [hyper(240,a,17319,a(flip),b,19407,a(flip))]. given #17513 (H,wt=25): 19403 L(L(x,y,z) * (x \ u),y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(19401(a,2),16914(a,1))]. given #17514 (H,wt=26): 19364 L(T(x,L((y * z) \ y,u,w)),z,K(z \ 1,y)) = T(x,L(z \ 1,u,w)). [hyper(240,a,19268,a(flip),b,19359,a(flip))]. given #17515 (H,wt=19): 19409 T(x,L((y * z) \ y,u,w)) = T(x,L(z \ 1,u,w)). [hyper(16848,a,19364,a),flip(a)]. given #17516 (H,wt=20): 19411 T(x,L(L(y \ 1,z,u),y,w)) = T(x,L(y \ 1,z,u)). [hyper(240,a,14509,a,b,19409,a(flip)),flip(a)]. given #17517 (H,wt=20): 19413 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u \ 1,z,y)). [hyper(240,a,11451,a(flip),b,19411,a(flip)),flip(a)]. given #17518 (H,wt=17): 19414 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(9175,a,19413,a),flip(a)]. given #17519 (H,wt=31): 19380 a(x,K(y,z) * u,K(w,v5)) * a(v5,v6,K(v7,v8)) = v5 \ L(L(v5,v6,K(v7,v8)),u,K(x,w)). [para(19372(a,1),17106(a,1,2)),flip(a)]. given #17520 (H,wt=17): 19417 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(18,a,17106,a(flip),b,19380,a)]. given #17521 (H,wt=15): 19419 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [para(1127(a,2),19417(a,1,2))]. given #17522 (H,wt=17): 19418 a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). [hyper(18461,a,19417,a)]. given #17523 (H,wt=19): 19426 a(x,T(y,z) * u,K(w,v5)) = a(v5,y * u,K(x,w)). [hyper(240,a,18460,a(flip),b,19418,a(flip)),flip(a)]. given #17524 (H,wt=21): 19427 K(x,L(y,z * K(u,w),v5)) = K(x,y) * a(y,z,K(x,v5)). [para(19418(a,1),13623(a,1,2)),flip(a)]. given #17525 (H,wt=20): 19430 K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. [para(19427(a,2),13629(a,1))]. given #17526 (H,wt=20): 19431 K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. [para(4813(a,1),19430(a,1,2,2))]. given #17527 (H,wt=24): 19423 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,z,K(x,u)). [hyper(240,a,18584,a,b,19419,a(flip)),flip(a)]. given #17528 (H,wt=22): 19432 K(x,(y \ (z * u)) / ((y \ T(u,z)) * z)) = a(y,u,K(x,z)). [hyper(18908,a,19423,a)]. given #17529 (H,wt=32): 19376 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(240,a,19255,a(flip),b,19372,a(flip))]. given #17530 (H,wt=24): 19435 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ y. [para(5178(a,1),19376(a,2,1))]. given #17531 (H,wt=32): 19428 ((T(x,y) * (K(z,x) * u)) * w) / a(x,x * u,K(z,w)) = K(z,x) * ((T(x,y) * u) * w). [para(19426(a,1),13981(a,1,2))]. given #17532 (H,wt=30): 19437 ((T(x,y) * (K(z,x) * u)) * w) / a(w,u,K(x,z)) = K(z,x) * ((T(x,y) * u) * w). [para(13921(a,1),19428(a,1,2))]. given #17533 (H,wt=30): 19439 a(x,y,K(z,u)) * ((T(z,w) * (K(x,z) * y)) * u) = K(x,z) * ((T(z,w) * y) * u). [hyper(16182,a,19437,a)]. given #17534 (H,wt=28): 19440 (T(x,y) * (K(z,x) * u)) * L(w,u,K(z,x)) = K(z,x) * ((T(x,y) * u) * w). [hyper(240,a,16941,a(flip),b,19439,a(flip)),flip(a)]. given #17535 (H,wt=33): 19381 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y,K(z,u)). [hyper(240,a,18631,a,b,19377,a(flip)),flip(a)]. given #17536 (H,wt=32): 19443 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = R(x,y,K(w,v5) * K(z,u)). [hyper(240,a,19382,a(flip),b,19381,a)]. given #17537 (H,wt=23): 19444 L(x,y,K(z,T(u,y)) * K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). [hyper(240,a,19392,a(flip),b,19443,a(flip)),flip(a)]. given #17538 (H,wt=21): 19445 R(x,y,K(z,u) * K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(17204,a,19444,a),flip(a)]. given #17539 (H,wt=22): 19447 L(L(x,y,K(z,u)),y,K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(240,a,19382,a,b,19445,a(flip)),flip(a)]. given #17540 (H,wt=26): 19448 L(x,y,K(z,u)) \ L(x,y,K(w,v5)) = L(x,y,K(z,u) * K(v5,w)) \ x. [para(19447(a,1),19278(a,1,1)),flip(a)]. given #17541 (H,wt=26): 19449 a(x,y,K(z,u)) * a(u,y,K(w,v5)) = L(u,y,K(z,x) * K(v5,w)) \ u. [hyper(240,a,16955,a(flip),b,19448,a(flip)),flip(a)]. given #17542 (H,wt=30): 19450 L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) \ x = a(a(x,y,z),a(w,v5,v6),u) \ 1. [hyper(240,a,19332,a(flip),b,19449,a(flip))]. given #17543 (H,wt=33): 19404 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(19401(a,2),19048(a,2,2))]. given #17544 (H,wt=33): 19451 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(240,a,16936,a,b,19404,a)]. given #17545 (H,wt=33): 19452 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(1299(a,1),19451(a,2,1))]. given #17546 (H,wt=28): 19453 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = (x / y) * L(y,z,u). [hyper(240,a,19402,a(flip),b,19452,a)]. given #17547 (H,wt=34): 19441 (K(x,y) * (T(y,z) * (u * w))) \ (K(x,y) * ((T(y,z) * u) * w)) = a(T(y,z),K(x,y) * u,w). [para(19440(a,1),19315(a,1,2))]. given #17548 (H,wt=28): 19454 L(a(T(x,y),z,u),T(x,y) * (z * u),K(w,x)) = a(T(x,y),K(w,x) * z,u). [hyper(774,a,19441,a)]. given #17549 (H,wt=17): 19455 a(T(x,y),K(z,x) * u,w) = a(T(x,y),u,w). [hyper(18968,a,19454,a),flip(a)]. given #17550 (H,wt=23): 19457 (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = a(T(x,u),y,z). [hyper(240,a,19316,a(flip),b,19455,a(flip)),flip(a)]. given #17551 (H,wt=18): 19460 T(a(x,y,z),L(u,z,x * y)) = a(T(x,u),y,z). [hyper(240,a,16858,a(flip),b,19457,a(flip)),flip(a)]. given #17552 (H,wt=13): 19462 a(T(x,y),z,u) = T(a(x,z,u),y). [hyper(240,a,18976,a(flip),b,19460,a(flip))]. given #17553 (H,wt=15): 19461 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(13541,a,19460,a),flip(a)]. given #17554 (H,wt=15): 19467 x * a(T(y,x),z,u) = a(y,z,u) * x. [para(19462(a,2),122(a,1,2))]. given #17555 (H,wt=14): 19472 a(T(x,a(y,z,u)),w,v5) = a(x,w,v5). [hyper(17,a,18977,a,b,19467,a)]. given #17556 (H,wt=17): 19469 a(T(x,y \ 1),z,u) * y = y * a(x,z,u). [para(19462(a,2),19053(a,1,1))]. given #17557 (H,wt=15): 19473 a(T(T(x,y),y \ 1),z,u) = a(x,z,u). [hyper(18,a,19467,a(flip),b,19469,a)]. given #17558 (H,wt=17): 19471 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(124(a,1),19461(a,1,1)),flip(a)]. given #17559 (H,wt=18): 19463 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(19460(a,1),16128(a,1))]. given #17560 (H,wt=18): 19466 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,u),y,z). [hyper(240,a,13533,a,b,19462,a),flip(a)]. given #17561 (H,wt=17): 19479 a(T(x,a(y,z,u)),w,v5) != v6 | a(x,w,v5) = v6. [para(19466(a,1),18927(a,1)),flip(b)]. given #17562 (H,wt=18): 19468 x * a(T(y,x),z,u) != w * x | a(y,z,u) = w. [para(19462(a,2),184(a,1,2)),flip(b)]. given #17563 (H,wt=20): 19477 a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. [para(13100(a,1),19463(a,1))]. given #17564 (H,wt=21): 19470 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(40(a,2),19461(a,1,1))]. given #17565 (H,wt=22): 19480 a(x,y,K(z,u)) * (a(z,y,x) \ w) = a(T(z,u),y,x) \ w. [para(19466(a,1),19244(a,1,1)),flip(a)]. given #17566 (H,wt=21): 19482 T(x * (a(y,z,u) \ 1),x) = x * (a(T(y,x),z,u) \ 1). [para(19480(a,1),16991(a,1,2)),flip(a)]. given #17567 (H,wt=23): 19474 T(a(T(x,y \ 1),z,u) \ w,y) = (y * a(x,z,u)) \ (w * y). [para(19469(a,1),17239(a,1,1)),flip(a)]. given #17568 (H,wt=25): 19465 (x / a(y,z,u)) \ L(x,z,K(y,u)) = a(T(y,a(y,z,u) \ x),z,u). [hyper(240,a,16931,a,b,19462,a),flip(a)]. given #17569 (H,wt=23): 19483 a(T(x,a(x,y,z) \ u),y,z) = a(x,y,z) * a(x,y,K(z,u)). [hyper(16949,a,19465,a),flip(a)]. given #17570 (H,wt=18): 19484 a(T(x,a(x,y,z) \ u),y,z) = a(T(x,u),y,z). [hyper(240,a,19466,a(flip),b,19483,a)]. given #17571 (H,wt=25): 19476 a(T(x,x \ 1) \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(19471(a,1),19106(a,1,1))]. given #17572 (H,wt=21): 19485 a(x \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(18435(a,1),19476(a,1,1))]. given #17573 (H,wt=20): 19486 (x * (y \ 1)) \ (x / y) = L(y,y \ 1,x) * (1 / y). [hyper(240,a,17513,a(flip),b,19485,a(flip)),flip(a)]. given #17574 (H,wt=21): 19489 ((x * (1 / y)) \ x) * (1 / y) = (x * (y \ 1)) \ (x / y). [para(2541(a,1),19486(a,2,1)),flip(a)]. given #17575 (H,wt=19): 19491 (x * (y \ 1)) \ (x / y) = y \ ((x * (y \ 1)) \ x). [hyper(240,a,5783,a(flip),b,19489,a(flip))]. given #17576 (H,wt=23): 19488 (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). [para(19485(a,1),17412(a,1,1))]. given #17577 (H,wt=26): 19475 a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). [para(115(a,2),19471(a,1,1))]. given #17578 (H,wt=24): 19493 a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(240,a,17423,a(flip),b,19475,a(flip))]. given #17579 (H,wt=26): 19481 a(L(x,x \ y,z),u,u \ 1) = a((z * (x \ y)) \ (z * y),u,u \ 1). [para(281(a,1),19470(a,1,1)),flip(a)]. given #17580 (H,wt=24): 19494 a((x * (y \ z)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,x). [hyper(240,a,18547,a(flip),b,19481,a(flip))]. given #17581 (H,wt=27): 19478 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. [para(18191(a,2),19463(a,1))]. given #17582 (H,wt=34): 19490 T((x * (y \ 1)) / (x / y),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(19486(a,1),8100(a,1,2))]. given #17583 (H,wt=34): 19492 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,y \ 1,z)). [para(19488(a,1),14274(a,1,1))]. given #17584 (H,wt=34): 19496 T((x / y) \ (x * (y \ 1)),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(3671(a,1),19490(a,1,1))]. given #17585 (H,wt=32): 19498 T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [hyper(240,a,4424,a(flip),b,19496,a(flip)),flip(a)]. given #17586 (H,wt=23): 19499 (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [hyper(240,a,13206,a(flip),b,19498,a(flip))]. given #17587 (H,wt=23): 19501 (((x / y) \ (x * (y \ 1))) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [para(3671(a,1),19499(a,1,1,1))]. given #17588 (H,wt=23): 19502 (1 * ((x * (y \ 1)) \ (x / y))) \ 1 = (x / y) \ (x * (y \ 1)). [para(17509(a,1),19501(a,1,1))]. given #17589 (H,wt=23): 19503 (1 * (x \ ((y * (x \ 1)) \ y))) \ 1 = (y / x) \ (y * (x \ 1)). [para(19491(a,1),19502(a,1,1,2))]. given #17590 (H,wt=21): 19504 (x \ ((y * (x \ 1)) \ y)) \ 1 = (y / x) \ (y * (x \ 1)). [para(11(a,1),19503(a,1,1))]. given #17591 (H,wt=34): 19497 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),y \ 1) = x / ((1 / y) * L(y,y \ 1,z)). [para(3451(a,1),19492(a,1,2))]. given #17592 (H,wt=29): 19505 x * (a(y \ z,y,y \ 1) * K(y,y \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). [hyper(5588,a,19497,a)]. given #17593 (H,wt=27): 19506 x * (y * (a(y \ z,y,y \ 1) / y)) = x / ((1 / y) * L(y,y \ 1,z)). [para(18056(a,1),19505(a,1,2))]. given #17594 (H,wt=25): 19507 x / ((1 / y) * L(y,y \ 1,z)) = x * (y * (L(y,y \ 1,z) \ 1)). [para(18102(a,1),19506(a,1,2,2)),flip(a)]. given #17595 (H,wt=23): 19508 x / ((1 / y) * L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(1304(a,1),19507(a,2,2))]. given #17596 (H,wt=21): 19509 x / (y \ L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(4632(a,1),19508(a,1,2))]. given #17597 (H,wt=21): 19510 (x \ L(x,x \ 1,y)) \ z = z * (L(x,x \ 1,y) \ x). [hyper(13207,a,19509,a)]. given #17598 (H,wt=21): 19511 (x * (L(y,y \ 1,z) \ y)) \ x = y \ L(y,y \ 1,z). [para(19509(a,1),65(a,1,1))]. given #17599 (H,wt=25): 19512 (x * (y * (a(z,y,y \ 1) / y))) \ x = y \ L(y,y \ 1,z * y). [para(18100(a,1),19511(a,1,1,2))]. given #17600 (H,wt=23): 19513 (x * (a(y,x,x \ 1) / x)) \ 1 = x \ L(x,x \ 1,y * x). [hyper(14143,a,19512,a)]. given #17601 (H,wt=23): 19514 a(x,y,y \ 1) \ K(y \ 1,y) = y \ L(y,y \ 1,x * y). [hyper(18086,a,19513,a)]. given #17602 (H,wt=37): 19395 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(19392(a,1),19333(a,1,1))]. given #17603 (H,wt=32): 19516 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(240,a,19388,a(flip),b,19395,a(flip)),flip(a)]. given #17604 (H,wt=19): 19519 ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ z. [hyper(240,a,19435,a(flip),b,19516,a(flip))]. given #17605 (H,wt=41): 19416 (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(240,a,13761,a,b,19414,a),flip(a)]. given #17606 (H,wt=39): 19521 (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(240,a,9321,a(flip),b,19416,a)]. given #17607 (H,wt=37): 19522 (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(150(a,1),19521(a,2,2,1))]. given #17608 (H,wt=32): 19523 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(240,a,3061,a(flip),b,19522,a)]. given #17609 (H,wt=23): 19524 K(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(4860,a,19523,a)]. given #17610 (H,wt=23): 19526 K((x \ 1) \ 1,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). [hyper(11283,a,19524,a)]. given #17611 (H,wt=22): 19527 K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(19526(a,1),5427(a,1))]. given #17612 (H,wt=20): 19528 K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). [hyper(19527,a,14502,a)]. given #17613 (H,wt=25): 19529 K(x,y / (((z \ u) * z) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(240,a,18124,a(flip),b,19528,a(flip)),flip(a)]. given #17614 (H,wt=23): 19530 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(4977(a,1),19529(a,2,2,2,1))]. given #17615 (H,wt=21): 19531 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (T(u,z) \ w)). [para(5078(a,1),19530(a,2,2,2))]. given #17616 (H,wt=21): 19532 K(x,y / (T(z * u,z) \ w)) = K(x,y / ((u * z) \ w)). [para(13(a,1),19531(a,1,2,2,1,1)),flip(a)]. given #17617 (H,wt=25): 19533 K(x,K(y,y * z) * (u / ((y * z) \ w))) = K(x,u / ((z * y) \ w)). [hyper(17768,a,19532,a)]. given #17618 (H,wt=33): 19534 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(14953(a,1),19533(a,1,2,1))]. given #17619 (H,wt=29): 19535 K(x,K(y,K(z,u)) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(7703(a,1),19534(a,1,2,1,2))]. given #17620 (H,wt=29): 19536 K(x,K(y,K(z,u)) * (w / (u \ (K(z,y) * v5)))) = K(x,w / ((u * K(y,z)) \ v5)). [hyper(240,a,17285,a(flip),b,19535,a(flip)),flip(a)]. given #17621 (H,wt=23): 19539 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y / (z \ (K(w,u) * v5))). [hyper(15226,a,19536,a),flip(a)]. given #17622 (H,wt=23): 19541 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(u,w))). [hyper(240,a,19306,a(flip),b,19539,a)]. given #17623 (H,wt=25): 19542 K(x,y * (((z \ 1) \ u) \ K(w,v5))) = K(x,y / ((z \ K(w,v5)) \ u)). [para(13577(a,1),19541(a,1,2,2,1)),flip(a)]. given #17624 (H,wt=25): 19543 K(x,K(y,z) * (u / ((w \ 1) \ v5))) = K(x,u / ((w \ K(y,z)) \ v5)). [hyper(17635,a,19542,a)]. given #17625 (H,wt=25): 19545 K(x,y / ((z \ K(z * u,w)) \ u)) = K(x,y / T((z \ 1) \ u,w)). [hyper(15199,a,19543,a),flip(a)]. given #17626 (H,wt=28): 19544 K(x,y / ((z \ K(z * u,w)) \ u)) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(19542(a,1),17855(a,1))]. given #17627 (H,wt=23): 19546 K(x,y / T((1 / z) \ u,w)) = K(x,y / T((z \ 1) \ u,w)). [hyper(19544,a,19545,a)]. given #17628 (H,wt=43): 19351 a(x,y,K(z,u)) * ((w * v5) \ (w * (v5 * (a(u,y,K(z,x)) * v6)))) = L(v6,L(v5,w,a(u,y,K(z,x))),a(u,y,K(z,x)) * w). [hyper(240,a,19242,a(flip),b,19347,a(flip)),flip(a)]. given #17629 (H,wt=38): 19547 L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = a(v6,w,K(v5,u)) * L(a(u,w,K(v5,v6)) * x,y,z). [para(28(a,2),19351(a,1,2)),flip(a)]. given #17630 (H,wt=23): 19548 a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * w,v5,v6) = L(w,v5,v6). [hyper(240,a,19355,a(flip),b,19547,a(flip))]. given #17631 (H,wt=23): 19549 L(a(x,y,K(z,u)) * w,v5,v6) = a(x,y,K(z,u)) * L(w,v5,v6). [hyper(13622,a,19548,a),flip(a)]. given #17632 (H,wt=22): 19551 L(a(x,y,K(z,u)) * x,y,z) = K(x,u) \ T(L(x,y,z),u). [hyper(240,a,17276,a,b,19549,a)]. given #17633 (H,wt=20): 19552 L(L(x,y,K(z,u)),y,z) = K(x,u) \ T(L(x,y,z),u). [para(16828(a,1),19551(a,1,1))]. given #17634 (H,wt=20): 19553 L(L(x,y,K(z,u)),y,z) = K(x,u) \ L(T(x,u),y,z). [para(40(a,2),19552(a,2,2))]. given #17635 (H,wt=20): 19554 L(L(x,y,K(z,u)),y,z) = K(u,x) * L(T(x,u),y,z). [hyper(240,a,5183,a(flip),b,19553,a)]. given #17636 (H,wt=20): 19555 T(K(x,y) * L(y,z,u),x) = L(L(y,z,K(u,x)),z,u). [hyper(240,a,6873,a,b,19554,a),flip(a)]. given #17637 (H,wt=17): 19556 T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). [hyper(240,a,16871,a(flip),b,19555,a)]. given #17638 (H,wt=19): 19558 L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. [para(19556(a,1),13525(a,1,1)),flip(a)]. given #17639 (H,wt=25): 19557 T(K(x,y) * L(y,z,T(x,u) / (x / u)),x) = L(y,z,x / (x / u)). [para(4126(a,1),19556(a,2,3))]. given #17640 (H,wt=25): 19559 T(K(x,y) * L(y,z,T(x,u) * (u / x)),x) = L(y,z,x / (x / u)). [para(16502(a,1),19557(a,1,1,2))]. given #17641 (H,wt=21): 19560 L(x,y,T(T(z,u) * (u / z),z)) = L(x,y,z / (z / u)). [hyper(240,a,19556,a(flip),b,19559,a(flip)),flip(a)]. given #17642 (H,wt=17): 19561 L(x,y,z / (z / u)) = L(x,y,z * (u / z)). [para(5213(a,1),19560(a,1,3)),flip(a)]. given #17643 (H,wt=43): 19515 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(19514(a,1),13647(a,1,1,2))]. given #17644 (H,wt=33): 19562 K((a(x,y,y \ 1) * (z \ 1)) \ K(y \ 1,y),u) = K(z * (y \ L(y,y \ 1,x * y)),u). [hyper(18966,a,19515,a),flip(a)]. given #17645 (H,wt=25): 19564 K(x * (y \ L(y,y \ 1,z * y)),u) = K(a(z,y,y \ 1) \ x,u). [hyper(240,a,18091,a(flip),b,19562,a(flip))]. given #17646 (H,wt=14): 19566 K(a(x,y,y \ 1) \ z,y) = K(z,y). [hyper(240,a,11044,a(flip),b,19564,a(flip))]. given #17647 (H,wt=14): 19567 K(a(x,y,y \ 1) * z,y) = K(z,y). [hyper(8063,a,19566,a),flip(a)]. given #17648 (H,wt=18): 19568 K(x,a(y,x,x \ 1) * z) = u / (K(z,x) * u). [para(19567(a,1),5184(a,1,2,1)),flip(a)]. given #17649 (H,wt=14): 19569 K(x,a(y,x,x \ 1) * z) = K(x,z). [hyper(240,a,16328,a(flip),b,19568,a)]. given #17650 (H,wt=14): 19570 K(x,y * a(z,x,x \ 1)) = K(x,y). [hyper(16238,a,19569,a)]. given #17651 (H,wt=33): 19571 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(19570(a,1),13896(a,1,1)),flip(a)]. given #17652 (H,wt=33): 19572 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(13544(a,1),19571(a,2,2,2))]. given #17653 (H,wt=33): 19573 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(240,a,5166,a(flip),b,19572,a)]. given #17654 (H,wt=31): 19574 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * T(x * a(y,x,x \ 1),z). [para(19144(a,1),19573(a,2,2))]. given #17655 (H,wt=29): 19575 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = (x * a(y,x,x \ 1)) * z. [hyper(240,a,122,a(flip),b,19574,a)]. given #17656 (H,wt=21): 19576 (x * a(y,x,x \ 1)) * z = x * (z * a(y,x,x \ 1)). [para(19149(a,1),19575(a,1,1)),flip(a)]. given #17657 (H,wt=39): 19577 (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(73,a,9151,a,b,19576,a)]. given #17658 (H,wt=23): 19578 (x * a(y,x,x \ 1)) \ (z * 1) = a(y,x,x \ 1) \ (x \ z). [para(13542(a,1),19577(a,1,2,2))]. given #17659 (H,wt=21): 19579 (x * a(y,x,x \ 1)) \ z = a(y,x,x \ 1) \ (x \ z). [para(12(a,1),19578(a,1,2))]. given #17660 (H,wt=31): 19581 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ (z \ (z * x))). [para(19579(a,1),18417(a,2,2))]. given #17661 (H,wt=27): 19582 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(13(a,1),19581(a,2,2,2))]. given #17662 (H,wt=23): 19583 x * (a(y,z,z \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(10942(a,1),19582(a,1,2,1))]. given #17663 (H,wt=23): 19585 x * T(a(y,z,z \ 1) \ z,x) = z * (a(y,z,z \ 1) \ x). [para(18283(a,1),19583(a,1,2))]. given #17664 (H,wt=21): 19586 (a(x,y,y \ 1) \ y) * z = y * (a(x,y,y \ 1) \ z). [hyper(231,a,19585,a)]. given #17665 (H,wt=41): 19587 (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(73,a,12115,a,b,19586,a)]. given #17666 (H,wt=38): 19588 (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(13136(a,1),19587(a,1,1,1))]. given #17667 (H,wt=35): 19589 (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(13130(a,1),19588(a,1,1,1))]. given #17668 (H,wt=32): 19592 (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(13136(a,1),19589(a,1,2,2,2,1))]. given #17669 (H,wt=29): 19593 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,y,y \ 1) \ u))) = u. [para(13130(a,1),19592(a,1,2,2,2,1))]. given #17670 (H,wt=27): 19595 (a(x,y,y \ 1) \ R(y,z,y)) \ (R(y,z,y) * (a(x,y,y \ 1) \ u)) = u. [para(12115(a,1),19593(a,1,2))]. given #17671 (H,wt=16): 19597 L(x,a(y,z,z \ 1) \ 1,R(z,u,z)) = x. [hyper(240,a,17463,a(flip),b,19595,a(flip)),flip(a)]. given #17672 (H,wt=13): 19598 L(x,a(y,z,z \ 1) \ 1,z) = x. [hyper(13017,a,19597,a)]. given #17673 (H,wt=15): 19599 L(x,L(y,y \ 1,z) * (1 / y),y) = x. [para(19106(a,1),19598(a,1,2))]. given #17674 (H,wt=15): 19600 L(x,L(y,y \ 1,z) * (y \ 1),y) = x. [hyper(240,a,4671,a(flip),b,19599,a(flip)),flip(a)]. given #17675 (H,wt=13): 19601 L(x,y \ L(y,y \ 1,z),y) = x. [para(1071(a,1),19600(a,1,2))]. given #17676 (H,wt=36): 19602 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(401,a,13283,a(flip),b,19601,a(flip)),flip(a)]. given #17677 (H,wt=36): 19603 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(19510(a,1),19602(a,2,1))]. given #17678 (H,wt=31): 19604 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [hyper(240,a,12083,a(flip),b,19603,a)]. given #17679 (H,wt=31): 19606 a(x,y,x) \ ((z * (L(z,z \ 1,u) \ w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [para(1303(a,1),19604(a,1,2,1))]. given #17680 (H,wt=21): 19607 x * (L(y,y \ 1,z) \ y) = y * (L(y,y \ 1,z) \ x). [hyper(240,a,16172,a(flip),b,19606,a(flip))]. given #17681 (H,wt=20): 19609 x * (L(y,y \ 1,x) \ y) = y * T(x * (1 / y),y). [para(6282(a,1),19607(a,2,2))]. given #17682 (H,wt=18): 19610 x * (L(y,y \ 1,x) \ y) = (x * (1 / y)) * y. [hyper(240,a,122,a(flip),b,19609,a)]. given #17683 (H,wt=17): 19611 x * (L(y,y \ 1,x) \ y) = R(x,y \ 1,y). [hyper(240,a,2518,a(flip),b,19610,a)]. given #17684 (H,wt=15): 19612 L(x,x \ 1,y) \ x = a(y,x \ 1,x). [hyper(17,a,3580,a,b,19611,a)]. given #17685 (H,wt=44): 19495 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(5566(a,1),19494(a,1,1,1))]. given #17686 (H,wt=45): 18900 L((x * y) \ (a(z,a(u,w,v5),v6) \ (x * (a(z,a(u,w,v5),v6) * y))),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [hyper(771,a,18867,a)]. given #17687 (H,wt=45): 19121 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ R(a(y,a(z,u,w),v5),v6,v7)). [hyper(3980,a,19120,a)]. given #17688 (H,wt=45): 19400 L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,K(L(u,w,v5) \ v6,L(u,w,v5)) * z). [para(10739(a,1),19368(a,1,3)),flip(a)]. given #17689 (H,wt=42): 19614 L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,z * K(L(u,w,v5) \ v6,u)). [hyper(240,a,19367,a(flip),b,19400,a)]. given #17690 (H,wt=42): 19616 L(x,y,z * (a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6) * K(u \ 1,v6))) = L(x,y,z * K(L(u,w,v5) \ v6,u)). [hyper(240,a,19357,a(flip),b,19614,a(flip)),flip(a)]. given #17691 (H,wt=24): 19617 L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(u \ 1,v6)). [hyper(13021,a,19616,a),flip(a)]. given #17692 (H,wt=19): 19618 L(x,y,z * K(u \ 1,w)) = L(x,y,z * K(w,u)). [hyper(240,a,13042,a(flip),b,19617,a(flip))]. given #17693 (H,wt=25): 19619 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,T(w,u))). [para(7222(a,1),19618(a,1,3)),flip(a)]. given #17694 (H,wt=23): 19620 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,w)). [para(6896(a,1),19619(a,2,3,2))]. given #17695 (H,wt=23): 19621 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,16600,a(flip),b,19620,a)]. given #17696 (H,wt=21): 19622 L(x,y,z * (1 / T(u,w))) = L(x,y,z * T(u \ 1,w)). [para(7192(a,1),19621(a,1,3))]. given #17697 (H,wt=21): 19623 L(x,y,z * (T(u,w) \ 1)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,3808,a(flip),b,19622,a(flip)),flip(a)]. given #17698 (H,wt=45): 19613 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ L(a(y,a(z,u,w),v5),v7,v6)). [para(18898(a,1),19121(a,2,2,2))]. given #17699 (H,wt=37): 19624 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). [para(18903(a,1),19613(a,2,2))]. given #17700 (H,wt=37): 19625 R(x / (a(y,a(z,u,w),v5) \ x),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). [para(18021(a,1),19624(a,1,1,1,2))]. given #17701 (H,wt=33): 19626 R(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v5,v6). [para(62(a,1),19625(a,1,1,1))]. given #17702 (H,wt=33): 19628 L(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v6,v5). [para(18898(a,1),19626(a,1,1))]. given #17703 (H,wt=47): 19170 (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(19169(a,1),864(a,1,2,1))]. given #17704 (H,wt=43): 19629 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(4711(a,1),19170(a,1,2,1,1,2)),flip(a)]. given #17705 (H,wt=47): 19390 L(L(x,y,a(z,a(u,w,v5),v6) * a(u,w,K(v5,z))),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). [para(18114(a,1),19389(a,1,1,3))]. given #17706 (H,wt=40): 19630 L(L(x,y,a(z,a(u,w,v5),v6)),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). [para(19356(a,1),19390(a,1,1))]. given #17707 (H,wt=26): 19631 L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) = L(x,y,a(z,a(w,v5,v6),u)). [hyper(16601,a,19630,a)]. given #17708 (H,wt=25): 19634 L(x,y,a(z,a(u,w,v5),v6)) \ x = a(a(x,y,z),a(u,w,v5),v6) \ 1. [para(19631(a,1),19450(a,1,1))]. given #17709 (H,wt=47): 19487 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(7226(a,2),19485(a,1,1,1))]. given #17710 (H,wt=48): 19608 (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(240,a,13678,a,b,19607,a),flip(a)]. given #17711 (H,wt=44): 19636 (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(2545(a,1),19608(a,2,2,1))]. given #17712 (H,wt=44): 19637 (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(6717(a,1),19636(a,2,2))]. given #17713 (H,wt=42): 19638 (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(240,a,19168,a(flip),b,19637,a)]. given #17714 (H,wt=38): 19639 (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(2545(a,1),19638(a,1,1,2,2,1))]. given #17715 (H,wt=34): 19640 (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(2545(a,1),19639(a,1,2,1,1))]. given #17716 (H,wt=23): 19641 (x \ 1) * (L(x \ 1,x,y) \ z) = (x * L(x \ 1,x,y)) \ z. [hyper(240,a,13678,a(flip),b,19640,a(flip)),flip(a)]. given #17717 (H,wt=23): 19642 ((x * L(x \ 1,x,y)) \ z) / (1 / x) = z / L(1 / x,x,y). [para(19641(a,1),6637(a,1,1))]. given #17718 (H,wt=49): 19635 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(19487(a,1),17410(a,1,1)),flip(a)]. given #17719 (H,wt=45): 19643 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(2545(a,1),19635(a,2,1,1))]. given #17720 (H,wt=38): 19644 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (1 / ((x \ y) \ 1))) * z. [para(352(a,1),19643(a,2,1,1))]. given #17721 (H,wt=34): 19645 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (x \ y)) * z. [para(62(a,1),19644(a,2,1,2))]. given #17722 (H,wt=21): 19647 ((x \ y) \ (1 / (y \ x))) \ z = ((x \ y) * (y \ x)) * z. [para(18616(a,1),19645(a,1,1))]. given #17723 (H,wt=21): 19648 ((x \ y) \ (1 / (y \ x))) * z = ((x \ y) * (y \ x)) \ z. [hyper(309,a,19647,a),flip(a)]. given #17724 (H,wt=21): 19649 x \ (((y \ z) * (z \ y)) \ x) = (y \ z) \ (1 / (z \ y)). [hyper(18,a,16985,a,b,19648,a),flip(a)]. given #17725 (H,wt=21): 19650 x * ((y \ z) \ (1 / (z \ y))) = ((y \ z) * (z \ y)) \ x. [para(19649(a,1),14(a,1,2))]. given #17726 (H,wt=25): 19652 ((x \ (x * y)) * ((x * y) \ x)) \ z = z * (y \ (1 / ((x * y) \ x))). [para(13(a,1),19650(a,1,2,1)),flip(a)]. given #17727 (H,wt=21): 19655 x * (y \ (1 / ((z * y) \ z))) = (y * ((z * y) \ z)) \ x. [para(13(a,1),19652(a,1,1,1)),flip(a)]. given #17728 (H,wt=21): 19657 (x \ (1 / ((y * x) \ y))) * z = (x * ((y * x) \ y)) \ z. [hyper(240,a,16983,a,b,19655,a(flip)),flip(a)]. given #17729 (H,wt=25): 19653 (((x * y) \ x) * (x \ (x * y))) \ z = z * (((x * y) \ x) \ (1 / y)). [para(13(a,1),19650(a,1,2,2,2)),flip(a)]. given #17730 (H,wt=25): 19654 (((x * y) \ x) * (x \ (x * y))) \ z = z * (y \ (((x * y) \ x) \ 1)). [para(6738(a,1),19650(a,1,2)),flip(a)]. given #17731 (H,wt=21): 19661 x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * y) \ x. [para(13(a,1),19654(a,1,1,2)),flip(a)]. given #17732 (H,wt=21): 19662 (x \ (((y * x) \ y) \ 1)) * z = (((y * x) \ y) * x) \ z. [hyper(240,a,16980,a,b,19661,a(flip)),flip(a)]. given #17733 (H,wt=29): 19660 (((x * (y \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(62(a,1),19653(a,2,2,2))]. given #17734 (H,wt=25): 19663 (((x * (y \ 1)) \ x) * (y \ 1)) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(13(a,1),19660(a,1,1,2))]. given #17735 (H,wt=23): 19665 (x \ ((y * (x \ 1)) \ y)) \ z = z * (((y * (x \ 1)) \ y) \ x). [para(1153(a,1),19663(a,1,1))]. given #17736 (H,wt=19): 19666 ((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)). [hyper(71,a,19665,a(flip),b,19504,a(flip)),flip(a)]. given #17737 (H,wt=23): 19668 (x \ ((y * (x \ 1)) \ y)) \ z = z * ((y / x) \ (y * (x \ 1))). [para(19666(a,1),19665(a,2,2))]. given #17738 (H,wt=24): 19667 (x \ ((y * (x \ 1)) \ y)) \ 1 != z | ((y * (x \ 1)) \ y) \ x = z. [para(19665(a,2),76(a,1)),flip(b)]. given #17739 (H,wt=27): 19669 K(x,x \ 1) * ((y / x) \ (y * (x \ 1))) = (x \ ((y * (1 / x)) \ y)) \ 1. [hyper(240,a,14167,a(flip),b,19668,a(flip))]. given #17740 (H,wt=25): 19670 (x / y) \ (x * (y \ K(y,y \ 1))) = (y \ ((x * (1 / y)) \ x)) \ 1. [hyper(240,a,4579,a(flip),b,19669,a(flip)),flip(a)]. given #17741 (H,wt=21): 19671 (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (1 / x)). [para(1442(a,1),19670(a,1,2,2)),flip(a)]. given #17742 (H,wt=33): 19656 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * ((y \ 1) \ (((x * (1 / y)) \ x) \ 1)). [para(2553(a,1),19652(a,2,2,2))]. given #17743 (H,wt=29): 19672 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). [para(14258(a,1),19656(a,2,2))]. given #17744 (H,wt=25): 19673 ((x \ 1) * ((y * (x \ 1)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(13(a,1),19672(a,1,1,1))]. given #17745 (H,wt=23): 19675 (x \ ((y * (1 / x)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(4596(a,1),19673(a,1,1))]. given #17746 (H,wt=19): 19676 ((x * (1 / y)) \ x) \ y = (x / y) \ (x * (1 / y)). [hyper(71,a,19675,a(flip),b,19671,a(flip)),flip(a)]. given #17747 (H,wt=18): 19679 L(x,x \ 1,y) \ x = (y / x) \ (y * (1 / x)). [para(2541(a,2),19676(a,1,1))]. given #17748 (H,wt=16): 19680 (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). [hyper(240,a,19612,a(flip),b,19679,a(flip))]. given #17749 (H,wt=23): 19678 (x / (1 / y)) \ (x * (1 / (1 / y))) = y \ (1 / ((x * y) \ x)). [hyper(240,a,6741,a(flip),b,19676,a(flip))]. given #17750 (H,wt=20): 19681 a(x,(1 / y) \ 1,1 / y) = y \ (1 / ((x * y) \ x)). [hyper(240,a,19680,a(flip),b,19678,a(flip)),flip(a)]. given #17751 (H,wt=16): 19682 x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1). [hyper(240,a,9068,a(flip),b,19681,a(flip))]. given #17752 (H,wt=17): 19684 x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1). [para(2295(a,2),19682(a,1,2))]. given #17753 (H,wt=18): 19686 (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. [para(19682(a,1),19657(a,1,1)),flip(a)]. given #17754 (H,wt=19): 19685 (x \ 1) \ a(y,x,x \ 1) = L(x \ 1,x,y) \ 1. [para(19682(a,1),6742(a,1,2))]. given #17755 (H,wt=19): 19687 (x * L(x \ 1,x,y)) \ z = z * a(y,x,x \ 1). [para(19684(a,1),19168(a,1,2)),flip(a)]. given #17756 (H,wt=20): 19683 a(x,x \ y,(x \ y) \ 1) = (x \ y) \ (1 / (y \ x)). [para(14(a,1),19682(a,1,2,2,1)),flip(a)]. given #17757 (H,wt=19): 19692 (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). [hyper(240,a,677,a(flip),b,19683,a(flip))]. given #17758 (H,wt=21): 19691 (x * a(y,z,z \ 1)) / (1 / z) = x / L(1 / z,z,y). [para(19687(a,1),19642(a,1,1))]. given #17759 (H,wt=22): 19689 K(x,y \ (((z * y) \ z) \ u)) = K(x,a(z,y,y \ 1) * u). [para(19686(a,1),19344(a,1,2)),flip(a)]. given #17760 (H,wt=22): 19694 K(x,(((y * z) \ y) * z) \ u) = K(x,a(y,z,z \ 1) * u). [hyper(240,a,19075,a,b,19689,a(flip)),flip(a)]. given #17761 (H,wt=23): 19693 (x * y) \ (x * (((x * y) \ x) \ 1)) = y \ (((x * y) \ x) \ 1). [hyper(240,a,6738,a(flip),b,19692,a(flip))]. given #17762 (H,wt=24): 19677 (x \ ((y * (1 / x)) \ y)) \ 1 != z | ((y * (1 / x)) \ y) \ x = z. [para(19675(a,2),76(a,1)),flip(b)]. given #17763 (H,wt=26): 19688 a(x,y,y \ 1) * (L(1 / y,y,x) * z) = L(y \ z,y,(x * y) \ x). [hyper(240,a,11811,a(flip),b,19686,a(flip))]. given #17764 (H,wt=36): 19658 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = (y * ((z * y) \ z)) \ ((y * ((z * y) \ z)) * x). [hyper(240,a,14364,a(flip),b,19655,a(flip)),flip(a)]. given #17765 (H,wt=20): 19695 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. [hyper(240,a,13,a(flip),b,19658,a)]. given #17766 (H,wt=21): 19697 (x * (y * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). [para(19695(a,1),14363(a,1,2))]. given #17767 (H,wt=21): 19699 x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). [para(19697(a,1),62(a,1,2))]. given #17768 (H,wt=21): 19701 (x \ (1 / ((y * x) \ y))) \ z = z * (x * ((y * x) \ y)). [hyper(240,a,17029,a(flip),b,19699,a(flip)),flip(a)]. given #17769 (H,wt=18): 19702 x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. [para(19682(a,1),19701(a,1,1)),flip(a)]. given #17770 (H,wt=17): 19703 a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x). [hyper(240,a,834,a(flip),b,19702,a(flip))]. given #17771 (H,wt=22): 19704 a(K(x,y) * z,u,u \ 1) \ w = w * (u * ((z * u) \ z)). [para(19519(a,1),19702(a,1,2,2)),flip(a)]. given #17772 (H,wt=21): 19707 a(K(x,y) * z,u,u \ 1) \ w = a(z,u,u \ 1) \ w. [hyper(240,a,19702,a(flip),b,19704,a)]. given #17773 (H,wt=25): 19708 K(x,y) / (a(z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [para(19707(a,1),18227(a,1,2))]. given #17774 (H,wt=23): 19709 K(x,y) / (R(z,u,u \ 1) \ 1) = R(K(x,y) * z,u,u \ 1). [para(17309(a,1),19708(a,1,2))]. given #17775 (H,wt=21): 19711 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(14154,a,19709,a),flip(a)]. given #17776 (H,wt=23): 19712 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(19711(a,2),17323(a,1,2))]. given #17777 (H,wt=17): 19713 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(680,a,19712,a)]. given #17778 (H,wt=17): 19714 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(18441,a,19713,a)]. given #17779 (H,wt=21): 19715 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(17373(a,1),19714(a,1,1))]. given #17780 (H,wt=21): 19717 a(x \ (K(y,z) * u),w,w \ 1) = a(x \ u,w,w \ 1). [para(6988(a,1),19715(a,1,1,2))]. given #17781 (H,wt=25): 19716 a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). [para(6233(a,1),19715(a,1,1,2))]. given #17782 (H,wt=25): 19718 a(x \ (y * (z * u)),w,w \ 1) = a(x \ (y * (u * z)),w,w \ 1). [para(7121(a,1),19715(a,1,1,2))]. given #17783 (H,wt=25): 19720 a(x \ (K(y,z) * (u * w)),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(240,a,19717,a(flip),b,19718,a)]. given #17784 (H,wt=25): 19721 a(x \ ((y / (y / z)) * u),w,w \ 1) = a(x \ (u * z),w,w \ 1). [para(5373(a,1),19720(a,1,1,2))]. given #17785 (H,wt=28): 19722 a(((x \ y) * z) \ ((u / (u / z)) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(240,a,19493,a(flip),b,19721,a)]. given #17786 (H,wt=28): 19723 a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(240,a,19716,a(flip),b,19722,a(flip)),flip(a)]. given #17787 (H,wt=24): 19724 a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). [para(65(a,1),19723(a,1,1,2,1))]. given #17788 (H,wt=38): 19690 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(19685(a,1),19310(a,2,2,2,1))]. given #17789 (H,wt=31): 19725 K(x,y / ((a(z,u,u \ 1) / (u \ 1)) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(13543(a,1),19690(a,1,2,2,1,2))]. given #17790 (H,wt=38): 19705 ((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(19703(a,1),117(a,1,1,2))]. given #17791 (H,wt=38): 19706 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(19703(a,1),490(a,1,3))]. given #17792 (H,wt=38): 19727 ((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(1620,a,19705,a)]. given #17793 (H,wt=34): 19729 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(19691(a,1),19727(a,1,1)),flip(a)]. given #17794 (H,wt=20): 19730 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = x. [hyper(240,a,16,a(flip),b,19729,a)]. given #17795 (H,wt=16): 19732 R(x,a(y,z,z \ 1),L(1 / z,z,y)) = x. [para(19703(a,1),19730(a,1,3))]. given #17796 (H,wt=38): 19728 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(13546(a,1),19706(a,1,1))]. given #17797 (H,wt=25): 19733 (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z) = a(y,z,z \ 1) \ x. [hyper(240,a,19732,a(flip),b,19728,a(flip))]. given #17798 (H,wt=21): 19735 (x * L(1 / y,y,z)) / (1 / y) = a(z,y,y \ 1) \ x. [para(19703(a,1),19733(a,1,1,2))]. given #17799 (H,wt=21): 19736 (x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x. [hyper(1620,a,19735,a)]. given #17800 (H,wt=21): 19737 (x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x. [hyper(4718,a,19736,a)]. given #17801 (H,wt=20): 19738 (x / (y \ 1)) * ((z * y) \ z) = a(z,y,y \ 1) \ x. [hyper(240,a,354,a(flip),b,19737,a(flip)),flip(a)]. given #17802 (H,wt=21): 19739 a(x,y,y \ 1) \ ((y \ 1) * z) = L(y \ 1,y,x) * z. [hyper(6381,a,19738,a),flip(a)]. given #17803 (H,wt=21): 19740 a(x,y,y \ 1) * (L(y \ 1,y,x) * z) = (y \ 1) * z. [para(19739(a,1),14(a,1,2))]. given #17804 (H,wt=21): 19741 (L(x \ 1,x,y) * z) * a(y,x,x \ 1) = (x \ 1) * z. [para(19739(a,1),13545(a,1,1))]. given #17805 (H,wt=20): 19743 (((x * y) \ x) * z) * a(x,y,y \ 1) = (y \ 1) * z. [para(171(a,1),19741(a,1,1,1))]. given #17806 (H,wt=24): 19744 (x * ((y * z) \ y)) * a(y,z,z \ 1) = (z \ 1) * T(x,z \ 1). [para(6097(a,1),19743(a,1,1))]. given #17807 (H,wt=20): 19746 (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). [hyper(240,a,122,a(flip),b,19744,a)]. given #17808 (H,wt=29): 19742 a(x,y,y \ 1) * (L(y \ 1,y,x) * (T(y,y \ 1) * z)) = (1 / y) * (y * z). [hyper(240,a,5563,a(flip),b,19740,a)]. given #17809 (H,wt=25): 19748 a(x,y,y \ 1) * (L(1 / y,y,x) * (y * z)) = (1 / y) * (y * z). [para(16870(a,1),19742(a,1,2))]. given #17810 (H,wt=20): 19749 L(x \ (x * y),x,(z * x) \ z) = (1 / x) * (x * y). [hyper(240,a,19688,a(flip),b,19748,a(flip)),flip(a)]. given #17811 (H,wt=16): 19750 L(x,y,(z * y) \ z) = (1 / y) * (y * x). [para(13(a,1),19749(a,1,1))]. given #17812 (H,wt=15): 19751 L(x,y,(z * y) \ z) = L(x,y,y \ 1). [hyper(240,a,2709,a(flip),b,19750,a)]. given #17813 (H,wt=16): 19754 L(x,y,y \ 1) \ x = (x / (y * x)) * y. [para(19751(a,1),13063(a,1,1))]. given #17814 (H,wt=14): 19755 (x / (y * x)) * y = a(y \ 1,y,x). [hyper(3650,a,19754,a),flip(a)]. given #17815 (H,wt=18): 19753 L(x,y,(z * y) \ z) != u | L(x,y,y \ 1) = u. [para(19750(a,2),2719(a,1))]. given #17816 (H,wt=25): 19757 L(x \ ((y / (x * y)) \ z),x,y / (x * y)) = a(x \ 1,x,y) \ z. [para(19755(a,1),235(a,2,1))]. given #17817 (H,wt=25): 19758 L(x \ ((y / (x * y)) \ z),x,(y * x) \ y) = a(x \ 1,x,y) \ z. [hyper(240,a,13062,a(flip),b,19757,a(flip)),flip(a)]. given #17818 (H,wt=23): 19759 L(x \ ((y / (x * y)) \ z),x,x \ 1) = a(x \ 1,x,y) \ z. [hyper(19753,a,19758,a)]. given #17819 (H,wt=20): 19760 (1 / x) * ((y / (x * y)) \ z) = a(x \ 1,x,y) \ z. [hyper(2717,a,19759,a)]. given #17820 (H,wt=21): 19762 (x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,x,y) \ z. [hyper(240,a,4600,a,b,19760,a(flip)),flip(a)]. given #17821 (H,wt=21): 19763 (a(x \ 1,x,y) \ z) / (x \ 1) = z / R(x \ 1,x,y). [para(19760(a,1),11654(a,1,1))]. given #17822 (H,wt=25): 19764 x \ (x * (y / R(z \ 1,z,u))) = (a(z \ 1,z,u) \ y) / (z \ 1). [hyper(240,a,13,a,b,19763,a),flip(a)]. given #17823 (H,wt=24): 19765 (a(x \ 1,x,y) \ z) / (x \ 1) != u | z / R(x \ 1,x,y) = u. [para(19764(a,1),241(a,1)),flip(b)]. given #17824 (H,wt=29): 19766 R(x \ 1,x,y) \ ((x \ 1) * (z / (x \ 1))) = (a(x \ 1,x,y) \ z) / (x \ 1). [para(18641(a,1),19764(a,1,2))]. given #17825 (H,wt=29): 19767 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = R(x \ 1,x,y) \ ((x \ 1) * z). [para(15(a,1),19766(a,1,2,2)),flip(a)]. given #17826 (H,wt=29): 19768 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = (x \ 1) * (R(x \ 1,x,y) \ z). [hyper(240,a,1169,a(flip),b,19767,a)]. given #17827 (H,wt=25): 19769 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = a(x \ 1,x,y) \ z. [hyper(240,a,19762,a(flip),b,19768,a)]. given #17828 (H,wt=21): 19770 (x * (y \ 1)) / R(y \ 1,y,z) = a(y \ 1,y,z) \ x. [hyper(19765,a,19769,a)]. given #17829 (H,wt=16): 19771 a(x \ 1,x,y) \ ((1 / x) \ y) = x * y. [hyper(240,a,4339,a(flip),b,19770,a(flip))]. given #17830 (H,wt=18): 19772 (x * y) / ((1 / x) \ y) = a(x \ 1,x,y) \ 1. [hyper(75,a,19771,a(flip),b,17902,a)]. given #17831 (H,wt=22): 19773 (a(x \ 1,x,y) \ 1) \ T(x * y,z) = T((1 / x) \ y,z). [para(19772(a,1),14111(a,1,1))]. given #17832 (H,wt=20): 19774 a(x \ 1,x,y) * T(x * y,z) = T((1 / x) \ y,z). [hyper(240,a,17903,a(flip),b,19773,a(flip)),flip(a)]. given #17833 (H,wt=28): 19775 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((1 / y) \ z,w)). [para(19774(a,1),19298(a,1,2,2)),flip(a)]. given #17834 (H,wt=28): 19776 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((y \ 1) \ z,w)). [hyper(240,a,19546,a(flip),b,19775,a)]. given #17835 (H,wt=28): 19777 K(x,a(y,z,z \ 1) * (u / T(z * y,w))) = K(x,u / T((z \ 1) \ y,w)). [hyper(240,a,19408,a(flip),b,19776,a(flip)),flip(a)]. given #17836 (H,wt=28): 19778 K(x,(y / T(z * u,w)) * a(u,z,z \ 1)) = K(x,y / T((z \ 1) \ u,w)). [hyper(16238,a,19777,a)]. given #17837 (H,wt=26): 19779 K(x,(y / T(z * u,x)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(240,a,7704,a(flip),b,19778,a)]. given #17838 (H,wt=24): 19780 K(x,(y / (z * u)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(15644,a,19779,a)]. given #17839 (H,wt=33): 19745 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(19743(a,2),12710(a,1,2))]. given #17840 (H,wt=30): 19781 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),z \ 1)) = K(x,(z \ 1) * w). [para(13135(a,1),19745(a,1,2,2))]. given #17841 (H,wt=27): 19782 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) = K(x,(z \ 1) * w). [para(13131(a,1),19781(a,1,2,2))]. given #17842 (H,wt=28): 19785 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) != v5 | K(x,z \ w) = v5. [para(19782(a,2),13865(a,1))]. given #17843 (H,wt=33): 19747 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(19746(a,2),12778(a,1,2))]. given #17844 (H,wt=30): 19786 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),u \ 1)) = K(x,y * (u \ 1)). [para(13135(a,1),19747(a,1,2,2))]. given #17845 (H,wt=27): 19787 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) = K(x,y * (u \ 1)). [para(13131(a,1),19786(a,1,2,2))]. given #17846 (H,wt=28): 19790 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) != v5 | K(x,y / u) = v5. [para(19787(a,2),13799(a,1))]. given #17847 (H,wt=44): 19719 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(240,a,19495,a(flip),b,19716,a(flip))]. given #17848 (H,wt=36): 19791 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),19719(a,1,1,2,1)),flip(a)]. given #17849 (H,wt=32): 19792 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a(((x \ z) * u) \ (u * z),y,y \ 1). [hyper(240,a,13117,a(flip),b,19791,a)]. given #17850 (H,wt=27): 19794 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = R(a(x,y,y \ 1),z,u). [hyper(240,a,19724,a(flip),b,19792,a)]. given #17851 (H,wt=27): 19795 L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))) = R(a(x,y,y \ 1),z,u). [hyper(240,a,19561,a(flip),b,19794,a(flip)),flip(a)]. given #17852 (H,wt=23): 19796 L(a(x,y,y \ 1),z,T(u,z \ x)) = R(a(x,y,y \ 1),z,u). [hyper(240,a,18699,a(flip),b,19795,a(flip)),flip(a)]. given #17853 (H,wt=19): 19797 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [hyper(240,a,18974,a(flip),b,19796,a(flip))]. given #17854 (H,wt=24): 19799 (x * y) * L(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [para(19797(a,1),18438(a,1,2))]. given #17855 (H,wt=21): 19801 (a(x,y,y \ 1) * z) * u = z * (u * a(x,y,y \ 1)). [hyper(230,a,19799,a),flip(a)]. given #17856 (H,wt=25): 19804 ((x * a(y,z,z \ 1)) * u) \ (u * (x * a(y,z,z \ 1))) = K(u,x). [para(19801(a,1),17334(a,1,2))]. given #17857 (H,wt=14): 19805 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(269,a,19804,a)]. given #17858 (H,wt=14): 19808 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(16239,a,19805,a)]. given #17859 (H,wt=17): 19811 K(x,y / ((z \ 1) \ u)) = K(x,y / (z * u)). [hyper(240,a,19780,a(flip),b,19805,a(flip)),flip(a)]. given #17860 (H,wt=18): 19806 K(x,y * ((z * L(u,w,u)) \ z)) = K(x,y / u). [hyper(19790,a,19805,a),flip(a)]. given #17861 (H,wt=15): 19820 K(x,y * ((z * u) \ z)) = K(x,y / u). [hyper(240,a,12913,a(flip),b,19806,a(flip)),flip(a)]. given #17862 (H,wt=15): 19821 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(14(a,1),19820(a,1,2,2,1)),flip(a)]. given #17863 (H,wt=18): 19807 K(x,((y * L(z,u,z)) \ y) * w) = K(x,z \ w). [hyper(19785,a,19805,a),flip(a)]. given #17864 (H,wt=15): 19822 K(x,((y * z) \ y) * u) = K(x,z \ u). [hyper(240,a,19195,a(flip),b,19807,a(flip)),flip(a)]. given #17865 (H,wt=15): 19825 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(14(a,1),19822(a,1,2,1,1)),flip(a)]. given #17866 (H,wt=20): 19824 K(x,L(y / z,u,z \ y) \ w) = K(x,(z / y) * w). [hyper(240,a,19199,a(flip),b,19822,a(flip))]. given #17867 (H,wt=15): 19830 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(240,a,12726,a(flip),b,19824,a(flip)),flip(a)]. given #17868 (H,wt=18): 19832 K(x,(y / z) \ x) != u | K(x,x * (z / y)) = u. [para(19830(a,2),8209(a,1))]. given #17869 (H,wt=22): 19827 K(x,(y \ z) \ K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(19825(a,2),14931(a,1))]. given #17870 (H,wt=24): 19826 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(u,z,K(x,z \ y)). [hyper(19478,a,19825,a),flip(a)]. given #17871 (H,wt=24): 19833 K(x,(y / z) \ a(u,w,v5)) != v6 | K(x,a(u,w,v5) * (z / y)) = v6. [para(19830(a,2),16239(a,1))]. given #17872 (H,wt=27): 19828 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) != w | a(u,z,K(x,z \ y)) = w. [para(19825(a,1),19478(a,1))]. given #17873 (H,wt=28): 19834 K(x,y / (a(z,u,u \ 1) \ w)) != v5 | K(x,a(z,u,u \ 1) * (y / w)) = v5. [para(19327(a,2),19833(a,1))]. given #17874 (H,wt=57): 19158 (((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(240,a,8857,a,b,19157,a),flip(a)]. given #17875 (H,wt=57): 19835 (((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(5571(a,1),19158(a,2,1,1))]. given #17876 (H,wt=55): 19836 (((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(13574(a,1),19835(a,2,1))]. given #17877 (H,wt=49): 19837 (((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(15066(a,1),19836(a,2,1))]. given #17878 (H,wt=47): 19838 (((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(14149(a,1),19837(a,2,2))]. given #17879 (H,wt=47): 19840 (((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(14236(a,2),19838(a,2,2))]. given #17880 (H,wt=41): 19841 (((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(14254(a,1),19840(a,2,2))]. given #17881 (H,wt=39): 19842 (((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(240,a,18055,a(flip),b,19841,a)]. given #17882 (H,wt=37): 19844 (((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(14149(a,1),19842(a,1,1,1,2))]. given #17883 (H,wt=37): 19845 (((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(14236(a,2),19844(a,1,1,1,2))]. given #17884 (H,wt=31): 19846 (((x \ K(x,y)) \ a(z,x,x \ 1)) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14254(a,1),19845(a,1,1,1,2))]. given #17885 (H,wt=25): 19847 ((x \ 1) \ a(y,x,x \ 1)) * (x \ 1) = x * (a(y,x,x \ 1) / x). [para(4578(a,1),19846(a,1,1))]. given #17886 (H,wt=39): 19849 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(19847(a,1),19629(a,2,2,1))]. given #17887 (H,wt=37): 19850 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * (x * (a(y,x,x \ 1) / x)). [para(13547(a,1),19849(a,2,2))]. given #17888 (H,wt=33): 19851 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [hyper(240,a,18085,a(flip),b,19850,a)]. given #17889 (H,wt=29): 19853 x \ T(x * (a(y,x,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [para(4711(a,1),19851(a,1,2,1,2,1))]. given #17890 (H,wt=25): 19854 x \ T(x * (a(y,x,x \ 1) / x),z) = (1 / x) * a(y,x,x \ 1). [para(62(a,1),19853(a,1,2,1,2,2))]. given #17891 (H,wt=23): 19855 x \ (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(121(a,1),19854(a,1,2))]. given #17892 (H,wt=19): 19856 (1 / x) * a(y,x,x \ 1) = a(y,x,x \ 1) / x. [hyper(242,a,19855,a),flip(a)]. given #17893 (H,wt=23): 19858 (1 / x) * (x * a(y,x,x \ 1)) = (a(y,x,x \ 1) / x) * x. [para(19856(a,1),19151(a,1,1)),flip(a)]. given #17894 (H,wt=19): 19859 (1 / x) \ a(y,x,x \ 1) = x * a(y,x,x \ 1). [hyper(73,a,16,a(flip),b,19858,a)]. given #17895 (H,wt=19): 19860 a(x,y,y \ 1) / (y \ 1) = y * a(x,y,y \ 1). [hyper(240,a,19146,a,b,19859,a(flip)),flip(a)]. given #17896 (H,wt=29): 19862 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / ((z * a(u,z,z \ 1)) \ w)). [para(19860(a,1),19725(a,1,2,2,1)),flip(a)]. given #17897 (H,wt=29): 19863 K(x,y / (a(z,u,u \ 1) \ (u \ w))) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(19579(a,1),19862(a,2,2,2)),flip(a)]. given #17898 (H,wt=29): 19864 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,a(u,z,z \ 1) * (y / (z \ w))). [hyper(19834,a,19863,a),flip(a)]. given #17899 (H,wt=34): 19865 K(x,a(y,y \ z,(y \ z) \ 1) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(454(a,1),19864(a,1,2,2,1,1)),flip(a)]. given #17900 (H,wt=43): 19866 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(95(a,2),19865(a,1,2,1))]. given #17901 (H,wt=41): 19867 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),19866(a,2,2,2,1,1,2))]. given #17902 (H,wt=31): 19868 K(x,(y \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(56(a,1),19867(a,1,2,1,1))]. given #17903 (H,wt=35): 19869 K(x,((y * z) \ (y * (((y * z) \ y) \ 1))) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(13(a,1),19868(a,2,2,2,1,1))]. given #17904 (H,wt=31): 19870 K(x,(y \ (((z * y) \ z) \ 1)) * (u / (((z * y) \ z) \ w))) = K(x,u / ((y \ 1) \ w)). [para(19693(a,1),19869(a,1,2,1))]. given #17905 (H,wt=29): 19871 K(x,(((y * z) \ y) * z) \ (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(19662(a,1),19870(a,1,2))]. given #17906 (H,wt=28): 19872 K(x,a(y,z,z \ 1) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [hyper(240,a,19694,a(flip),b,19871,a(flip)),flip(a)]. given #17907 (H,wt=21): 19873 K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). [hyper(240,a,19808,a(flip),b,19872,a(flip)),flip(a)]. given #17908 (H,wt=19): 19874 K(x,y / (((z * u) \ z) \ w)) = K(x,y / (u * w)). [hyper(240,a,19811,a(flip),b,19873,a)]. given #17909 (H,wt=19): 19876 K(x,y / ((z \ u) \ w)) = K(x,y / ((u \ z) * w)). [para(14(a,1),19874(a,1,2,2,1,1))]. given #17910 (H,wt=19): 19877 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(240,a,19821,a(flip),b,19876,a(flip))]. given #17911 (H,wt=22): 19878 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(y,u,K(x,z)). [hyper(240,a,19432,a(flip),b,19877,a(flip))]. given #17912 (H,wt=15): 19879 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(19828,a,19878,a)]. given #17913 (H,wt=15): 19880 a(x,y,K(y \ z,u)) = a(y,x,K(u,z)). [hyper(13961,a,19879,a)]. given #17914 (H,wt=15): 19881 a(x,y,K(y \ z,u)) = a(z,x,K(y,u)). [hyper(240,a,13563,a(flip),b,19880,a)]. given #17915 (H,wt=15): 19883 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(13813,a,19881,a)]. given #17916 (H,wt=23): 19882 x * a(y,z,K(x \ u,z \ u)) = x * a(u,u \ x,K(y,z)). [para(19880(a,1),19098(a,1,2)),flip(a)]. given #17917 (H,wt=21): 19885 x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). [para(13917(a,1),19882(a,2,2))]. given #17918 (H,wt=19): 19886 x * a(y,z,K(x \ y,u)) = x * a(y,x,K(z,u)). [para(19879(a,1),19885(a,1,2))]. given #17919 (H,wt=17): 19887 x * a(y,x,K(z,u)) = x * a(x,z,K(y,u)). [para(13867(a,1),19886(a,1,2)),flip(a)]. given #17920 (H,wt=13): 19888 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(13848,a,19887,a),flip(a)]. given #17921 (H,wt=15): 19889 x * a(y,x,K(z,u)) = L(x,z,K(y,u)). [hyper(240,a,16829,a(flip),b,19887,a)]. given #17922 (H,wt=14): 19895 L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. [para(19889(a,1),18922(a,1))]. given #17923 (H,wt=14): 19896 T(x,a(y,a(z,u,w),v5)) != v6 | v6 = x. [para(16824(a,1),19895(a,1))]. given #17924 (H,wt=15): 19894 x * a(y,x,K(z,u)) = L(x,y,K(u,z)). [para(19888(a,2),16827(a,1,2))]. given #17925 (H,wt=13): 19897 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(240,a,19889,a(flip),b,19894,a(flip))]. given #17926 (H,wt=15): 19898 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(240,a,16866,a(flip),b,19897,a)]. given #17927 (H,wt=15): 19899 L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). [hyper(240,a,12996,a(flip),b,19897,a)]. given #17928 (H,wt=16): 19902 T(x,L(y,z,a(u,w,v5))) != v6 | T(x,y) = v6. [para(19898(a,1),19895(a,1)),flip(b)]. given #17929 (H,wt=17): 19891 a(x,y,K(z * u,w)) = a(w,x,K(u * z,y)). [hyper(16205,a,19888,a)]. given #17930 (H,wt=15): 19903 a(x,y,K(z * y,u)) = a(y,x,K(u,z)). [hyper(240,a,13612,a(flip),b,19891,a)]. given #17931 (H,wt=17): 19893 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,z,u)). [para(19888(a,2),13624(a,1,2))]. given #17932 (H,wt=15): 19905 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(13960,a,19893,a)]. given #17933 (H,wt=15): 19906 K(x,L(y,z \ 1,u)) = K(x,L(y,u,z)). [hyper(16202,a,19905,a),flip(a)]. given #17934 (H,wt=15): 19908 K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). [hyper(240,a,16518,a(flip),b,19906,a(flip))]. given #17935 (H,wt=15): 19910 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(240,a,13949,a(flip),b,19908,a(flip)),flip(a)]. given #17936 (H,wt=17): 19911 T(x,L(y,z,u \ z)) = x * K(x,L(y,u,z)). [para(19908(a,1),4800(a,2,2))]. given #17937 (H,wt=15): 19913 T(x,L(y,z,u \ z)) = T(x,L(y,u,z)). [hyper(240,a,4800,a,b,19911,a)]. given #17938 (H,wt=17): 19912 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [para(19910(a,1),4800(a,2,2))]. given #17939 (H,wt=18): 19890 x * a(y,x,K(z,u)) != w | L(x,z,K(y,u)) = w. [para(19887(a,2),16857(a,1))]. given #17940 (H,wt=18): 19907 K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). [hyper(240,a,17378,a(flip),b,19905,a(flip))]. given #17941 (H,wt=18): 19914 T(x,L(y,z,u \ z)) != w | T(x,L(y,u,z)) = w. [para(19911(a,2),4803(a,1))]. given #17942 (H,wt=18): 19915 T(x,L(y,z,z \ u)) != w | T(x,L(y,z,u)) = w. [para(19912(a,2),4803(a,1))]. given #17943 (H,wt=19): 19901 T(x,L(y,z \ K(u,w),v5)) = L(T(x,y),v5,K(z,y)). [hyper(240,a,17970,a(flip),b,19898,a(flip))]. given #17944 (H,wt=17): 19917 T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). [hyper(240,a,16866,a(flip),b,19901,a)]. given #17945 (H,wt=15): 19919 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(132(a,1),19917(a,1,2,2,2))]. given #17946 (H,wt=20): 19918 T(x,L(y \ R(y,z,u),y,w)) = T(x,y \ R(y,z,u)). [hyper(17023,a,19917,a),flip(a)]. given #17947 (H,wt=15): 19921 T(x,y \ R(y,z,u)) = L(x,z,K(u,y)). [hyper(16884,a,19918,a),flip(a)]. given #17948 (H,wt=21): 19900 T(x,L(y,z \ T(u,w),v5)) = L(T(x,y),v5,K(u \ z,y)). [hyper(240,a,17973,a(flip),b,19898,a(flip))]. given #17949 (H,wt=19): 19923 T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). [hyper(240,a,16866,a(flip),b,19900,a)]. given #17950 (H,wt=22): 19920 T(x,L((y / z) / (u \ 1),z,u)) = T(x,y / ((u \ 1) * z)). [hyper(240,a,14439,a(flip),b,19919,a(flip))]. given #17951 (H,wt=24): 19909 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,17955,a(flip),b,19908,a(flip))]. given #17952 (H,wt=25): 19924 T(x,(y / z) / (a(u,w,v5) \ 1)) = T(x,y / ((a(u,w,v5) \ 1) * z)). [hyper(19902,a,19920,a)]. given #17953 (H,wt=23): 19925 T(x,y / ((a(z,u,w) \ 1) * v5)) = T(x,(y / v5) * a(z,u,w)). [hyper(240,a,13758,a(flip),b,19924,a(flip))]. given #17954 (H,wt=27): 19884 L(L(x,y,z),u,K(u \ w,v5)) * v6 = L(x,y,z) * (v6 * a(w,x,K(u,v5))). [para(19883(a,1),19113(a,1,2,2)),flip(a)]. given #17955 (H,wt=25): 19927 L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v6,K(v5,w)) * u. [para(19899(a,1),19884(a,1,1)),flip(a)]. given #17956 (H,wt=27): 19922 T(K(x,T(y \ R(y,z,u),w)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). [hyper(401,a,19921,a(flip),b,7165,a)]. given #17957 (H,wt=28): 19926 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,(y / z) * a(u,w,v5)). [hyper(240,a,17700,a,b,19925,a(flip)),flip(a)]. given #17958 (H,wt=23): 19928 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,(y / z) * a(u,w,v5)). [hyper(17336,a,19926,a)]. given #17959 (H,wt=21): 19929 T(x,(y / z) \ a(u,w,v5)) = T(x,(z / y) * a(u,w,v5)). [hyper(19286,a,19928,a)]. given #17960 (H,wt=25): 19931 T(x,(y / (y * (z / y))) * a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(240,a,18107,a(flip),b,19929,a(flip))]. given #17961 (H,wt=25): 19932 T(x,(((y / z) * z) \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). [hyper(240,a,16805,a(flip),b,19931,a(flip)),flip(a)]. given #17962 (H,wt=21): 19933 T(x,y \ (z * a(u,w,v5))) = T(x,(y \ z) * a(u,w,v5)). [para(16(a,1),19932(a,1,2,1,1)),flip(a)]. given #17963 (H,wt=21): 19934 T(x,y \ (a(z,u,w) * v5)) = T(x,(y \ v5) * a(z,u,w)). [hyper(240,a,16368,a,b,19933,a(flip)),flip(a)]. given #17964 (H,wt=21): 19936 T(x,(y \ (a(z,u,w) \ v5)) * a(z,u,w)) = T(x,y \ v5). [para(14(a,1),19934(a,1,2,2)),flip(a)]. given #17965 (H,wt=25): 19935 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,((w \ v5) \ v6) * a(y,z,u)). [hyper(240,a,19127,a,b,19934,a(flip)),flip(a)]. given #17966 (H,wt=32): 19904 a(x,y,K(z,z \ y)) \ (K((z \ y) * x,z) * (y * x)) = y * (x * K((z \ y) * x,z)). [para(19903(a,1),13839(a,1,1))]. given #17967 (H,wt=25): 19937 1 \ (K((x \ y) * z,x) * (y * z)) = y * (z * K((x \ y) * z,x)). [para(10022(a,1),19904(a,1,1))]. given #17968 (H,wt=25): 19939 1 \ ((x * y) * K((z \ x) * y,z)) = x * (y * K((z \ x) * y,z)). [para(11650(a,1),19937(a,1,2))]. given #17969 (H,wt=23): 19940 (x * y) * K((z \ x) * y,z) = x * (y * K((z \ x) * y,z)). [hyper(163,a,19939,a)]. given #17970 (H,wt=25): 19941 (x * (y * z)) / (y * (z * K((x \ y) * z,x))) = T(x,(x \ y) * z). [para(19940(a,1),11652(a,1,2))]. given #17971 (H,wt=25): 19942 (x * (y * z)) / (y * (z * K(y * (x \ z),x))) = T(x,(x \ y) * z). [para(12584(a,1),19941(a,1,2,2,2))]. given #17972 (H,wt=15): 19943 T(x,(x \ y) * z) = T(x,y * (x \ z)). [hyper(15743,a,19942,a),flip(a)]. given #17973 (H,wt=18): 19944 T(x,(x \ y) * z) != u | T(x,y * (x \ z)) = u. [para(19942(a,1),15743(a,1))]. given #17974 (H,wt=21): 19945 T(x,L(x,y,z) * (x \ u)) = T(x,u * (x \ L(x,y,z))). [hyper(240,a,7808,a,b,19943,a(flip)),flip(a)]. given #17975 (H,wt=23): 19946 T(x,(x \ y) * (a(z,u,x) \ x)) = T(x,y * (a(z,u,x) \ 1)). [para(19044(a,1),19943(a,2,2,2))]. given #17976 (H,wt=21): 19947 T(x,(x \ y) * L(x,z,u)) = T(x,y * (a(u,z,x) \ 1)). [hyper(240,a,19227,a(flip),b,19946,a(flip)),flip(a)]. given #17977 (H,wt=21): 19948 T(x,y * (a(z,u,x) \ 1)) = T(x,y * (x \ L(x,u,z))). [hyper(19944,a,19947,a),flip(a)]. given #17978 (H,wt=19): 19949 T(x,y * (x \ L(x,z,u))) = T(x,a(u,z,x) \ y). [hyper(16297,a,19948,a),flip(a)]. given #17979 (H,wt=19): 19950 T(x,L(x,y,z) * (x \ u)) = T(x,a(z,y,x) \ u). [hyper(240,a,19945,a,b,19949,a(flip)),flip(a)]. given #17980 (H,wt=12): 19951 T(x,a(y,z,x) \ u) = T(x,u). [hyper(240,a,10985,a(flip),b,19950,a(flip))]. given #17981 (H,wt=12): 19953 T(x,a(y,z,x) * u) = T(x,u). [para(13(a,1),19951(a,1,2)),flip(a)]. given #17982 (H,wt=25): 19955 (a(x,y,z) * u) * L(T(z,u),w,v5) = L(z,w,v5) * (a(x,y,z) * u). [para(19953(a,1),192(a,1,2,1))]. given #17983 (H,wt=23): 19956 (a(x,y,z) * L(z,u,w)) \ (L(z,u,w) * (a(x,y,z) * v5)) = v5. [hyper(73,a,19955,a(flip),b,17244,a(flip))]. given #17984 (H,wt=22): 19958 L(K(L(x,y,z),a(u,w,x)) * v5,a(u,w,x),L(x,y,z)) = v5. [hyper(240,a,10217,a(flip),b,19956,a(flip)),flip(a)]. given #17985 (H,wt=22): 19959 L(a(L(x,y,z),u,K(x,w)) * v5,a(w,u,x),L(x,y,z)) = v5. [para(13564(a,2),19958(a,1,1,1))]. given #17986 (H,wt=19): 19960 L(a(x,y,K(x,z)) * u,a(z,y,x),L(x,w,v5)) = u. [para(18987(a,1),19959(a,1,1,1))]. given #17987 (H,wt=12): 19961 L(x,a(y,z,u),L(u,w,v5)) = x. [para(7344(a,1),19960(a,1,1))]. given #17988 (H,wt=32): 19916 K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(10782(a,1),19907(a,1,2,1,1))]. given #17989 (H,wt=32): 19957 (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(19955(a,2),517(a,1))]. given #17990 (H,wt=32): 19964 K(x,L((y * K(z,u)) \ w,y / u,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(17368(a,2),19916(a,1,2))]. given #17991 (H,wt=32): 19965 K(x,L((y * K(z,u)) \ w,u \ y,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(19431,a,19964,a)]. given #17992 (H,wt=28): 19966 K(x,L((y * K(z,u)) \ w,u \ y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(16141,a,19965,a)]. given #17993 (H,wt=26): 19967 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(13943,a,19966,a)]. given #17994 (H,wt=25): 19969 K(x,(y * K(z,y)) \ ((u / y) \ w)) = K(x,y \ ((T(y,z) / u) * w)). [hyper(240,a,19909,a(flip),b,19967,a(flip))]. given #17995 (H,wt=25): 19970 K(x,K(y,z) * (y \ ((u / y) \ w))) = K(x,y \ ((T(y,z) / u) * w)). [hyper(17591,a,19969,a)]. given #17996 (H,wt=23): 19971 K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,y \ ((w / y) \ v5)). [hyper(15226,a,19970,a),flip(a)]. given #17997 (H,wt=19): 19972 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [para(1398(a,1),19971(a,1,2,2,1,1)),flip(a)]. given #17998 (H,wt=21): 19973 x * K(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). [para(19972(a,1),4800(a,2,2)),flip(a)]. given #17999 (H,wt=19): 19974 T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). [hyper(4803,a,19973,a),flip(a)]. given #18000 (H,wt=23): 19975 T(x,(y \ z) \ (((y \ z) / z) * u)) = T(x,(y \ z) \ (y \ u)). [para(62(a,1),19974(a,1,2,2,1)),flip(a)]. given #18001 (H,wt=22): 19976 T(x,L(y,z,z \ (u \ z))) = T(x,(u \ z) \ (u \ (z * y))). [para(10211(a,1),19975(a,1,2))]. given #18002 (H,wt=20): 19977 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,z,y \ z)). [hyper(19915,a,19976,a),flip(a)]. given #18003 (H,wt=18): 19978 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,y,z)). [hyper(240,a,19913,a(flip),b,19977,a)]. given #18004 (H,wt=21): 19979 T(x,(y \ z) \ (y \ (z * u))) != w | T(x,L(u,y,z)) = w. [para(19977(a,2),19914(a,1))]. given #18005 (H,wt=33): 19980 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(19299,a,19978,a)]. given #18006 (H,wt=33): 19981 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(240,a,19935,a(flip),b,19980,a(flip)),flip(a)]. given #18007 (H,wt=23): 19982 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,(v5 \ v6) \ (v5 \ (v6 * y))). [hyper(240,a,19936,a(flip),b,19981,a(flip))]. given #18008 (H,wt=18): 19984 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,L(y,v5,v6)). [hyper(240,a,19978,a(flip),b,19982,a)]. given #18009 (H,wt=18): 19985 T(x,L(y,z * a(u,w,v5),v6)) = T(x,L(y,z,v6)). [hyper(240,a,19385,a,b,19984,a(flip)),flip(a)]. given #18010 (H,wt=36): 19954 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = T(a(x,y,z),a(x,y,z) \ u) \ T(z,u). [para(19951(a,1),5770(a,1,2)),flip(a)]. given #18011 (H,wt=36): 19986 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,a(x,y,z) \ u),y,z) \ T(z,u). [para(19462(a,2),19954(a,2,1))]. given #18012 (H,wt=31): 19987 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,u),y,z) \ T(z,u). [para(19484(a,1),19986(a,2,1))]. given #18013 (H,wt=31): 19988 a(x,y,z) \ T(a(z,y,K(x,u)) * z,a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). [para(16990(a,1),19987(a,1,2))]. given #18014 (H,wt=29): 19989 a(x,y,z) \ T(L(z,y,K(x,u)),a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). [para(16828(a,1),19988(a,1,2,1))]. given #18015 (H,wt=29): 19990 a(x,y,z) \ L(T(z,a(x,y,z) \ u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). [para(40(a,2),19989(a,1,2))]. given #18016 (H,wt=24): 19991 a(x,y,z) \ L(T(z,u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). [para(19951(a,1),19990(a,1,2,1))]. given #18017 (H,wt=22): 19992 a(T(x,y),z,u) \ T(u,y) = a(x,z,u) \ T(u,L(y,z,x)). [para(16866(a,1),19991(a,1,2)),flip(a)]. given #18018 (H,wt=19): 19994 a(T(x,y),z,u) \ T(u,y) = T(a(x,z,u) \ u,y). [hyper(240,a,19033,a(flip),b,19992,a)]. given #18019 (H,wt=25): 19995 a(T(T(x,y \ 1),y),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). [hyper(240,a,19474,a(flip),b,19994,a)]. given #18020 (H,wt=25): 19996 a(T(T(x,y),y \ 1),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). [para(38(a,1),19995(a,1,1,1))]. given #18021 (H,wt=19): 19997 (x * a(y,z,u)) \ (u * x) = a(y,z,u) \ T(u,x). [para(19473(a,1),19996(a,1,1)),flip(a)]. given #18022 (H,wt=19): 19998 (x * y) / (a(z,u,x) \ T(x,y)) = y * a(z,u,x). [para(19997(a,1),62(a,1,2))]. given #18023 (H,wt=17): 20000 (x * y) / (a(z,u,y) \ y) = x * a(z,u,y). [hyper(240,a,16672,a(flip),b,19998,a(flip)),flip(a)]. given #18024 (H,wt=17): 20001 (x * a(y,z,u)) \ (x * u) = a(y,z,u) \ u. [para(20000(a,1),65(a,1,1))]. given #18025 (H,wt=20): 20002 ((x * y) * z) \ ((x * (y * z)) * z) = a(x,y,z) \ z. [para(94(a,1),20001(a,1,1))]. given #18026 (H,wt=11): 20003 L(x,y,z) = a(z,y,x) \ x. [hyper(1622,a,20002,a)]. given #18027 (H,wt=11): 20007 a(x,y,z) * L(z,y,x) = z. [para(20003(a,2),14(a,1,2))]. given #18028 (H,wt=11): 20012 a(x,y,z) = L(z,y,x) \ z. [para(20003(a,2),16925(a,1,1)),flip(a)]. given #18029 (H,wt=13): 20006 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(73,a,20003,a,b,19045,a),flip(a)]. given #18030 (H,wt=15): 20014 (x * y) / L(y,z,u) = x * a(u,z,y). [para(20003(a,2),20000(a,1,2))]. given #18031 (H,wt=17): 20010 a(x,y,z) \ T(z,u) = L(z,y,x) * K(z,u). [para(20003(a,2),14083(a,1,1)),flip(a)]. given #18032 (H,wt=17): 20017 L(T(x,y),z,u) \ T(x,y) = a(T(u,y),z,x). [hyper(240,a,19558,a,b,20012,a),flip(a)]. given #18033 (H,wt=13): 20033 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(240,a,20012,a,b,20017,a(flip))]. given #18034 (H,wt=17): 20025 a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x). [hyper(240,a,4631,a(flip),b,20006,a)]. given #18035 (H,wt=17): 20026 (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. [hyper(22,a,20006,a)]. given #18036 (H,wt=18): 20015 a(x,y,z) \ z != u * w | u \ L(z,y,x) = w. [para(20007(a,1),309(a,1,2))]. given #18037 (H,wt=18): 20016 K(x,K(y,z * L(u,w,v5))) = K(x,K(y,z * u)). [para(20007(a,1),18081(a,1,2,2,2)),flip(a)]. given #18038 (H,wt=18): 20022 L(x,y,K(z,u)) \ x != w | a(u,y,K(z,x)) = w. [para(20012(a,1),13815(a,1))]. given #18039 (H,wt=21): 20031 (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). [para(7179(a,1),20014(a,1,1))]. given #18040 (H,wt=21): 20034 T(x * (a(y,z,u) \ 1),x) = x * (a(y,z,T(u,x)) \ 1). [para(20033(a,1),19482(a,2,2,1))]. given #18041 (H,wt=21): 20035 a(x,y,(z \ u) \ 1) \ 1 = z \ (u * L(u \ z,y,x)). [hyper(240,a,1673,a(flip),b,20025,a)]. given #18042 (H,wt=23): 20018 a(a(x,y,z),a(u,w,v5),v6) \ 1 = a(a(z,a(u,w,v5),v6),y,x). [hyper(240,a,19634,a(flip),b,20012,a),flip(a)]. given #18043 (H,wt=23): 20037 K(x,K(y,z * ((u * w) \ v5))) = K(x,K(y,z * (w \ (u \ v5)))). [para(235(a,1),20016(a,1,2,2,2))]. given #18044 (H,wt=24): 20027 T(x * (a(y,z,u) \ 1),x) = L(x * (u \ L(u,z,y)),z,K(u,y)). [para(20006(a,1),16830(a,2,1,2))]. given #18045 (H,wt=25): 20028 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). [para(20006(a,1),17347(a,1,3,1,2))]. given #18046 (H,wt=26): 20013 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ (L(z,y,x) * u). [para(20003(a,2),16926(a,2,2,1))]. given #18047 (H,wt=26): 20024 L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). [para(20012(a,2),19453(a,1,1,2))]. given #18048 (H,wt=24): 20043 L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). [para(20012(a,2),20024(a,1,2))]. given #18049 (H,wt=15): 20044 (x / y) * L(y,z,u) = x / a(u,z,y). [hyper(240,a,19961,a(flip),b,20043,a(flip))]. given #18050 (H,wt=26): 20040 K(x,K(y,((z * u) * w) * (w \ (z \ v5)))) = K(x,K(y,R(u,z,w) * v5)). [hyper(18494,a,20037,a),flip(a)]. given #18051 (H,wt=26): 20042 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = L(z,y,x) * (z \ u). [hyper(240,a,1299,a(flip),b,20013,a)]. given #18052 (H,wt=24): 20049 L(a(x,y,z) \ u,a(x,y,z),L(z,y,x)) = L(z,y,x) * (z \ u). [para(20003(a,2),20042(a,1,3))]. given #18053 (H,wt=15): 20050 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [hyper(240,a,19961,a(flip),b,20049,a(flip))]. given #18054 (H,wt=25): 20052 a(x,y,a(z,a(u,w,v5),v6)) \ v7 = v7 * a(a(z,a(u,w,v5),v6),x,y). [hyper(240,a,19628,a(flip),b,20050,a(flip))]. given #18055 (H,wt=26): 20048 K(x,K(y,(z * u) * (w * (w \ (z \ v5))))) = K(x,K(y,R(u,z,w) * v5)). [hyper(18076,a,20040,a)]. given #18056 (H,wt=22): 20056 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,(u * z) * (u \ v5))). [para(14(a,1),20048(a,1,2,2,2)),flip(a)]. given #18057 (H,wt=22): 20057 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,u * (z * (u \ v5)))). [hyper(240,a,18065,a(flip),b,20056,a)]. given #18058 (H,wt=18): 20059 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,v5 * z)). [hyper(240,a,18082,a(flip),b,20057,a)]. given #18059 (H,wt=18): 20060 K(x,K(y,z * R(u,w,v5))) = K(x,K(y,z * u)). [hyper(15083,a,20059,a)]. given #18060 (H,wt=27): 20041 L(x * (a(y,z,u) \ 1),z,K(u,y)) = L(x * (u \ L(u,z,y)),z,K(u,y)). [hyper(16885,a,20027,a)]. given #18061 (H,wt=27): 20062 K(x \ R(y,z,u),T(w,v5)) \ K(w,K(v5,x * y)) = K(w,x \ R(y,z,u)). [para(20060(a,1),15398(a,1,2))]. given #18062 (H,wt=21): 20063 K(x \ R(x,y,z),T(u,w)) \ 1 = K(u,x \ R(x,y,z)). [para(14515(a,1),20062(a,1,2))]. given #18063 (H,wt=19): 20064 K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). [hyper(7167,a,20063,a)]. given #18064 (H,wt=25): 20065 T(K(x,y \ R(y,z,u)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). [para(20064(a,1),19922(a,1,1))]. given #18065 (H,wt=21): 20066 K(x,y \ R(y,z,u)) = T(x,w) \ L(T(x,w),z,K(u,y)). [hyper(5437,a,20065,a)]. given #18066 (H,wt=17): 20068 K(x,y \ R(y,z,u)) = a(T(x,w),z,K(u,y)). [hyper(240,a,16833,a(flip),b,20066,a)]. given #18067 (H,wt=15): 20070 K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). [hyper(240,a,19472,a(flip),b,20068,a)]. given #18068 (H,wt=26): 20071 ((x \ R(x,y,z)) * u) / (a(w,y,K(z,x)) * u) = T(x \ R(x,y,z),w). [para(20070(a,1),5083(a,1,2,1))]. given #18069 (H,wt=26): 20072 a(x,y,K(z,u)) * (((x \ R(x,y,z)) * w) / w) = T(x \ R(x,y,z),u). [hyper(18605,a,20071,a)]. given #18070 (H,wt=22): 20073 a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). [para(15(a,1),20072(a,1,2))]. given #18071 (H,wt=20): 20074 L(x,y,K(z,u)) \ R(x,y,u) = T(x \ R(x,y,u),z). [hyper(240,a,19246,a(flip),b,20073,a(flip)),flip(a)]. given #18072 (H,wt=29): 20032 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(20010(a,2),7115(a,2,2))]. given #18073 (H,wt=29): 20077 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(20031(a,1),20032(a,1,1))]. given #18074 (H,wt=29): 20078 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(16920,a,20077,a)]. given #18075 (H,wt=21): 20079 x / (a(y,z,u) \ T(u,w)) = (x / T(u,w)) * a(y,z,u). [hyper(19365,a,20078,a)]. given #18076 (H,wt=21): 20080 x / (L(y,z,u) * K(y,w)) = (x / T(y,w)) * a(u,z,y). [para(20010(a,1),20079(a,1,2))]. given #18077 (H,wt=31): 20081 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(20080(a,1),19386(a,1,2,2)),flip(a)]. given #18078 (H,wt=26): 20082 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,v6 / T(z,v5),v7)). [hyper(240,a,19985,a(flip),b,20081,a)]. given #18079 (H,wt=26): 20084 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,T(z,v5) \ v6,v7)). [hyper(240,a,19386,a(flip),b,20082,a)]. given #18080 (H,wt=24): 20085 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,z \ v6,v7)). [hyper(240,a,19387,a(flip),b,20084,a)]. given #18081 (H,wt=20): 20087 T(x,L(y,L(z,u,w) \ v5,v6)) = T(x,L(y,z \ v5,v6)). [para(136(a,1),20085(a,1,2,2,1))]. given #18082 (H,wt=24): 20088 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,L(z,v5,v6) \ T(u,z),w)). [para(3924(a,2),20087(a,2,2,2)),flip(a)]. given #18083 (H,wt=22): 20089 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,w,u \ L(z,v5,v6))). [hyper(240,a,19923,a(flip),b,20088,a)]. given #18084 (H,wt=20): 20091 T(x,L(y,z,u \ L(w,v5,v6))) = T(x,L(y,w \ u,z)). [hyper(240,a,19387,a(flip),b,20089,a(flip))]. given #18085 (H,wt=24): 20092 T(x * K(y,x),L(y,z \ u,w)) = L(x,w,K(u \ L(z,v5,v6),y)). [hyper(16883,a,20091,a),flip(a)]. given #18086 (H,wt=20): 20094 L(x,y,K(z \ L(u,w,v5),v6)) = L(x,u \ z,K(y,v6)). [hyper(16883,a,20092,a),flip(a)]. given #18087 (H,wt=20): 20095 L(x,y,K((z * u) \ L(z,w,v5),v6)) = L(x,u,K(y,v6)). [para(13(a,1),20094(a,2,2))]. given #18088 (H,wt=20): 20096 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,z,K(y,v6)). [hyper(19398,a,20095,a)]. given #18089 (H,wt=18): 20097 L(x,y,K(z,a(u,w,v5) * v6)) = L(x,v6,K(y,z)). [hyper(240,a,20028,a(flip),b,20096,a(flip)),flip(a)]. given #18090 (H,wt=18): 20099 L(x,y,K(a(z,u,w) * v5,v6)) = L(x,v5,K(v6,y)). [hyper(240,a,19897,a,b,20097,a(flip)),flip(a)]. given #18091 (H,wt=18): 20100 L(x,y,K(z * a(u,w,v5),v6)) = L(x,z,K(v6,y)). [para(16226(a,1),20099(a,1,3))]. given #18092 (H,wt=20): 20101 a(x * a(y,z,u),w,K(v5,v6)) = v6 \ L(v6,x,K(v5,w)). [hyper(73,a,20100,a(flip),b,16827,a),flip(a)]. given #18093 (H,wt=18): 20102 a(x * a(y,z,u),w,K(v5,v6)) = a(v6,x,K(v5,w)). [hyper(240,a,16833,a(flip),b,20101,a)]. given #18094 (H,wt=18): 20103 a(a(x,y,z) * u,w,K(v5,v6)) = a(v6,u,K(v5,w)). [hyper(19477,a,20102,a)]. given #18095 (H,wt=30): 20104 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(20103(a,1),19329(a,1,2,2))]. given #18096 (H,wt=28): 20105 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(240,a,19927,a(flip),b,20104,a(flip)),flip(a)]. given #18097 (H,wt=23): 20107 L(a(x,y,z) * u,w,K(v5,v6)) = a(x,y,z) * L(u,w,K(v5,v6)). [hyper(19274,a,20105,a),flip(a)]. given #18098 (H,wt=36): 20039 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = 1 / a(a(z,a(u,w,v5),v6),y,x). [para(20018(a,1),18025(a,2,2))]. given #18099 (H,wt=36): 20108 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y) \ 1. [hyper(240,a,18947,a(flip),b,20039,a)]. given #18100 (H,wt=39): 20038 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,(x \ (u * T(x,K(y,z)))) \ 1) \ 1. [hyper(240,a,16314,a,b,20035,a),flip(a)]. given #18101 (H,wt=39): 20109 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u * K(x,K(y,z)),x) \ 1) \ 1. [para(5921(a,1),20038(a,2,1,3,1))]. given #18102 (H,wt=39): 20110 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,K(x,K(y,z)) * (T(u,x) \ 1)) \ 1. [para(16760(a,1),20109(a,2,1,3))]. given #18103 (H,wt=33): 20111 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u,x) \ 1) \ 1. [para(17151(a,1),20110(a,2,1))]. given #18104 (H,wt=44): 20075 R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x,y,K(u,z)) \ 1) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). [para(20074(a,1),627(a,1,1))]. given #18105 (H,wt=44): 20113 R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x \ 1,y,K(u,z))) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). [para(19249(a,2),20075(a,1,3))]. given #18106 (H,wt=39): 20114 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),x \ 1). [hyper(19293,a,20113,a),flip(a)]. given #18107 (H,wt=34): 20116 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),x,x \ 1). [hyper(240,a,19289,a(flip),b,20114,a)]. given #18108 (H,wt=33): 20118 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(R(x,y,z) * (x \ 1),x),u). [hyper(240,a,733,a(flip),b,20116,a)]. given #18109 (H,wt=31): 20119 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(x \ R(x,y,z),x),u). [para(1087(a,1),20118(a,2,1,1))]. given #18110 (H,wt=29): 20120 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(3657(a,1),20119(a,2,1))]. given #18111 (H,wt=29): 20121 T(R(x,y,z) * L(x \ 1,y,K(u,z)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(19249(a,2),20120(a,1,1,2))]. given #18112 (H,wt=27): 20122 T(x \ L(R(x,y,z),y,K(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(19072(a,1),20121(a,1,1))]. given #18113 (H,wt=24): 20123 T(x \ R(x,y,T(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(16894(a,1),20122(a,1,1,2))]. given #18114 (H,wt=19): 20124 T(x \ R(x,y,T(z,u)),x) = T(x \ R(x,y,z),u). [hyper(16116,a,20123,a)]. given #18115 (H,wt=17): 20125 x \ R(x,y,T(z,u)) = T(x \ R(x,y,z),u). [hyper(3658,a,20124,a)]. given #18116 (H,wt=22): 20127 L(T(x \ R(x,y,z),u),x,y * T(z,u)) = a(x,y,T(z,u)). [para(20125(a,1),14526(a,2,1)),flip(a)]. given #18117 (H,wt=28): 20128 L(T(x \ R(x,y,z \ 1),u),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). [para(20125(a,1),17364(a,1,1))]. given #18118 (H,wt=28): 20129 L(T(x \ R(x,y,z \ 1),u),x,y * T(z \ 1,u)) = a(x,y,T(z,u) \ 1). [hyper(240,a,19623,a(flip),b,20128,a(flip)),flip(a)]. given #18119 (H,wt=17): 20130 a(x,y,T(z,u) \ 1) = a(x,y,T(z \ 1,u)). [hyper(240,a,20127,a(flip),b,20129,a(flip))]. given #18120 (H,wt=33): 20131 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. [para(20130(a,1),20111(a,2,1))]. given #18121 (H,wt=33): 20132 T(x,K(y,z)) \ ((u * x) * L((u * x) \ T(x,K(y,z)),w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. [para(15132(a,1),20131(a,1,2,2,1))]. given #18122 (H,wt=33): 20133 T(x,K(y,z)) \ (u * (x * L(x \ (u \ T(x,K(y,z))),w,v5))) = a(v5,w,T(u \ 1,x)) \ 1. [para(941(a,1),20132(a,1,2))]. given #18123 (H,wt=33): 20134 x \ (y * (T(x,K(z,u)) * L(x \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. [hyper(240,a,16312,a(flip),b,20133,a(flip)),flip(a)]. given #18124 (H,wt=33): 20135 x \ (y * (x * L(T(x,K(z,u)) \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. [para(17430(a,1),20134(a,1,2,2))]. given #18125 (H,wt=25): 20136 x \ (y * (x * L(x \ (y \ x),z,u))) = a(u,z,T(y \ 1,x)) \ 1. [para(15127(a,1),20135(a,1,2,2,2,1))]. given #18126 (H,wt=23): 20137 x \ ((y * L(y \ 1,z,u)) * x) = a(u,z,T(y \ 1,x)) \ 1. [para(1712(a,1),20136(a,1,2))]. given #18127 (H,wt=21): 20138 T(x * L(x \ 1,y,z),u) = a(z,y,T(x \ 1,u)) \ 1. [hyper(254,a,20137,a)]. given #18128 (H,wt=30): 20139 L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T((1 / x) \ 1,u)) \ 1. [hyper(3583,a,20138,a)]. given #18129 (H,wt=26): 20140 L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. [para(65(a,1),20139(a,2,1,3,1))]. given #18130 (H,wt=22): 20141 L(T(x \ L(x,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. [para(65(a,1),20140(a,1,1,1,2,1))]. given #18131 (H,wt=19): 20142 T((1 / x) * L(x,y,z),u) = a(z,y,T(x,u)) \ 1. [hyper(240,a,2711,a(flip),b,20141,a(flip)),flip(a)]. given #18132 (H,wt=17): 20143 a(x,y,T(z,u)) \ 1 = T(1 / a(x,y,z),u). [para(20044(a,1),20142(a,1,1)),flip(a)]. given #18133 (H,wt=17): 20144 a(x,y,T(z,u)) \ 1 = T(a(x,y,z) \ 1,u). [para(12465(a,1),20143(a,2,1))]. given #18134 (H,wt=21): 20145 T(x * (a(y,z,u) \ 1),x) = x * T(a(y,z,u) \ 1,x). [para(20144(a,1),20034(a,2,2))]. given #18135 (H,wt=11): 20146 R(x,a(y,z,u) \ 1,x) = x. [hyper(1180,a,20145,a)]. given #18136 (H,wt=15): 20148 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [para(20146(a,1),17452(a,1,2))]. given #18137 (H,wt=15): 20150 x / (a(y,z,u) \ 1) = x * a(y,z,u). [para(20148(a,1),62(a,1,2))]. given #18138 (H,wt=15): 20152 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(306,a,20150,a),flip(a)]. given #18139 (H,wt=19): 20147 T(x * (a(y,z,u) \ 1),x) = (a(y,z,u) \ 1) * x. [hyper(240,a,122,a(flip),b,20145,a)]. given #18140 (H,wt=22): 20157 L(x * (y \ L(y,z,u)),z,K(y,u)) = (a(u,z,y) \ 1) * x. [hyper(240,a,20027,a(flip),b,20147,a(flip)),flip(a)]. given #18141 (H,wt=25): 20156 L(x * (y \ L(y,z,u)),z,K(y,u)) = L(x / a(u,z,y),z,K(y,u)). [para(20152(a,1),20041(a,1,1)),flip(a)]. given #18142 (H,wt=20): 20158 L(x * (y \ L(y,z,u)),z,K(y,u)) = a(u,z,y) \ x. [hyper(240,a,16832,a(flip),b,20156,a)]. given #18143 (H,wt=15): 20160 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(240,a,20157,a(flip),b,20158,a(flip)),flip(a)]. given #18144 (H,wt=15): 20164 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [hyper(240,a,20026,a(flip),b,20160,a(flip)),flip(a)]. given #18145 (H,wt=15): 20168 (x \ L(x,y,z)) \ u = a(z,y,x) * u. [hyper(73,a,13,a(flip),b,20164,a)]. given #18146 (H,wt=37): 20167 (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(73,a,17249,a,b,20164,a)]. given #18147 (H,wt=37): 20171 (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(13530(a,2),20167(a,1,2,1,1))]. given #18148 (H,wt=35): 20172 (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(16941(a,1),20171(a,1,2,1))]. given #18149 (H,wt=35): 20173 (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(20107(a,2),20172(a,1,2,1))]. given #18150 (H,wt=25): 20174 (x \ L(x,y,z)) \ (a(u,w,v5) * v6) = (a(u,w,v5) * a(z,y,x)) * v6. [para(19262(a,1),20173(a,1,2))]. given #18151 (H,wt=23): 20175 (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). [hyper(240,a,20168,a(flip),b,20174,a(flip))]. given #18152 (H,wt=30): 20179 (a(x,y,z) * a(u,w,v5)) * v6 != v7 * v8 | v7 \ (a(u,w,v5) * (a(x,y,z) * v6)) = v8. [para(20175(a,2),517(a,1))]. given #18153 (H,wt=32): 20181 (a(x,y,z) * a(u,w,v5)) * v6 != v7 * v8 | T(v7,v8) = v8 \ (a(u,w,v5) * (a(x,y,z) * v6)). [para(122(a,1),20179(a,2)),flip(b)]. given #18154 (H,wt=34): 20178 (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) = a(a(x,y,z),a(u,w,v5),v6). [hyper(73,a,20175,a(flip),b,94,a)]. given #18155 (H,wt=37): 20180 (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) != v7 | a(a(x,y,z),a(u,w,v5),v6) = v7. [para(20175(a,1),669(a,1,2))]. given #18156 (H,wt=45): 20177 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(K(a(u,w,v5),a(x,y,z)),(a(x,y,z) * a(u,w,v5)) * v6). [hyper(401,a,20175,a(flip),b,10159,a),flip(a)]. given #18157 (H,wt=45): 20182 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(a(a(u,w,v5),y,K(z,x)),(a(x,y,z) * a(u,w,v5)) * v6). [para(13564(a,2),20177(a,2,1))]. given #18158 (H,wt=37): 20183 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(1,(a(x,y,z) * a(u,w,v5)) * v6). [para(18915(a,1),20182(a,2,1))]. given #18159 (H,wt=25): 20184 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = 1. [hyper(240,a,153,a(flip),b,20183,a)]. given #18160 (H,wt=25): 20187 (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) = 1. [para(20175(a,1),20184(a,1,1))]. given #18161 (H,wt=12): 20188 a(a(x,y,z),a(u,w,v5),v6) = 1. [hyper(20180,a,20187,a)]. given #18162 (H,wt=73): 20055 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * K(v8,a(v5,v6,a(x,a(y,z,u),w)))),a(a(x,a(y,z,u),w),v5,v6)). [hyper(10821,a,20052,a),flip(a)]. given #18163 (H,wt=62): 20190 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * 1),a(a(x,a(y,z,u),w),v5,v6)). [para(18919(a,1),20055(a,2,1,2,2))]. given #18164 (H,wt=60): 20191 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * a(v5,v6,a(x,a(y,z,u),w)),a(a(x,a(y,z,u),w),v5,v6)). [para(12(a,1),20190(a,2,1,2))]. given #18165 (H,wt=49): 20193 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [hyper(240,a,18929,a(flip),b,20191,a)]. given #18166 (H,wt=36): 20195 a(a(x,a(y,z,u),w),v5,v6) \ T(v7,a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(136(a,1),20193(a,1,2,1))]. given #18167 (H,wt=36): 20196 a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,K(a(x,a(y,z,u),w),v5)) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(16824(a,2),20195(a,1,2))]. given #18168 (H,wt=28): 20197 a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,1) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(18019(a,1),20196(a,1,2,3))]. given #18169 (H,wt=25): 20198 a(a(x,a(y,z,u),w),v5,v6) \ v7 = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(324(a,1),20197(a,1,2))]. given #18170 (H,wt=26): 20201 a(a(x,a(y,z,u),w),v5,v6) \ 1 != v7 | a(v5,v6,a(x,a(y,z,u),w)) = v7. [para(20198(a,2),76(a,1)),flip(b)]. given #18171 (H,wt=34): 20200 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(x,y,a(z,a(u,w,v5),v6)). [hyper(71,a,20198,a(flip),b,20108,a)]. given #18172 (H,wt=21): 20202 a(a(x,y,z),a(u,w,v5),v6) = a(x,y,a(z,a(u,w,v5),v6)). [hyper(18930,a,20200,a),flip(a)]. given #18173 (H,wt=12): 20203 a(x,y,a(z,a(u,w,v5),v6)) = 1. [hyper(240,a,20188,a(flip),b,20202,a(flip))]. given #18174 (H,wt=18): 20205 L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). [hyper(33,a,20203,a)]. given #18175 (H,wt=18): 20206 R(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). [hyper(240,a,18898,a,b,20205,a(flip)),flip(a)]. given #18176 (H,wt=23): 20208 a(x,a(y,z,u),w) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. [para(20206(a,1),18866(a,1,1))]. given #18177 (H,wt=29): 20209 L((x * y) \ (x * y),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [para(20208(a,1),18900(a,1,1,2))]. given #18178 (H,wt=23): 20211 L(1,x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [para(53(a,1),20209(a,1,1))]. -------- Proof 1 -------- "nil3 25, aa2-Nl". ============================== PROOF ================================= % Proof 1 at 7188.28 (+ 324.71) seconds: "nil3 25, aa2-Nl". % Length of proof is 16896. % Level of proof is 1220. % Maximum clause weight is 73.000. % Given clauses 18178 (14.900 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(a(x,a(y,z,u),w),v5,v6) = 1 # label("nil3 25, aa2-Nl") # 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(a(c1,a(c2,c3,c4),c5),c6,c7) != 1 # label("nil3 25, aa2-Nl") # answer("nil3 25, aa2-Nl"). [deny(10)]. 49 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. 50 x * (1 * 1) = x. [para(11(a,2),12(a,1,2))]. 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. 52 x \ (1 * (x * y)) = y. [para(11(a,2),13(a,1,2))]. 53 x \ x = 1. [para(12(a,1),13(a,1,2))]. 54 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 55 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 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),15(a,1,1))]. 69 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 70 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 71 1 * x != y | z != y | z = x. [para(11(a,1),17(b,1))]. 72 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. 73 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 74 x != y | z * x != y | 1 = z. [para(11(a,1),18(a,1)),flip(c)]. 75 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 76 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 77 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 79 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 81 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 82 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 83 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. 85 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 86 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 87 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. 88 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 89 ((x * y) * z) / z != u * y | u = x. [para(15(a,2),20(a,2)),flip(a)]. 90 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 91 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 92 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 93 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 94 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 95 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 96 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. 97 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. 98 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 99 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 100 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 101 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 102 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 103 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. 104 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 105 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 106 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 107 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 108 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 109 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 110 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 111 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(16(a,1),28(a,2,2))]. 112 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 113 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 114 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 115 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 116 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 117 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(14(a,1),30(a,2,2)),flip(a)]. 118 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 119 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 120 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 121 T(x,x) = x. [para(32(a,2),13(a,1))]. 122 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 123 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 124 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 125 x * T(T(y,z),u) = x * T(T(y,u),z). [hyper(21,a,38,a)]. 126 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(38(a,1),40(a,1,1))]. 127 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)]. 128 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. 129 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. 130 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. 131 T(x,1) = x * 1. [para(51(a,1),32(a,2))]. 132 K(x,x) = 1. [para(53(a,1),26(a,2))]. 133 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. 134 T(T(x,y),x) = T(x,y). [para(121(a,1),38(a,1,1)),flip(a)]. 135 T(L(x,y,z),x) = L(x,y,z). [para(121(a,1),40(a,1,1)),flip(a)]. 136 x * K(y,y) = x. [para(132(a,2),12(a,1,2))]. 137 x / 1 = 1 * x. [hyper(18,a,16,a,b,49,a),flip(a)]. 138 x \ x = 1 * 1. [hyper(17,a,14,a,b,50,a),flip(a)]. 139 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. 140 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. 141 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. 142 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. 143 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. 144 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. 145 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. 146 (x / (1 * y)) \ x = y. [hyper(17,a,11,a,b,65,a(flip)),flip(a)]. 147 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. 148 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. 149 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. 150 T(x,1) = x. [para(128(a,1),32(a,2))]. 151 1 \ x = 1 * x. [para(49(a,1),128(a,1,2))]. 152 K(x,1) = 1. [hyper(36,a,150,a)]. 153 T(1,x) = 1. [hyper(35,a,150,a)]. 154 T(x,y \ y) = x. [para(53(a,2),150(a,1,2))]. 155 K(1,x) = 1. [hyper(36,a,153,a)]. 156 ((1 / x) * x) * y != z | z = y. [para(16(a,2),76(a,1,1))]. 157 x / 1 != y | y = x. [para(137(a,2),76(a,1))]. 158 x \ x != y | 1 = y. [para(138(a,2),76(a,1)),flip(b)]. 159 1 \ x != y | y = x. [para(151(a,2),76(a,1))]. 160 ((1 / x) * x) * y != z | y = z. [para(16(a,2),77(a,1,1))]. 161 K(x,1) * y != z | y = z. [para(152(a,2),77(a,1,1))]. 162 x / 1 != y | x = y. [para(137(a,2),77(a,1))]. 163 1 \ x != y | x = y. [para(151(a,2),77(a,1))]. 164 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),85(a,1,2))]. 165 x * ((1 / y) * y) != z | z = x. [para(16(a,2),85(a,1,2))]. 166 T(x,1) != y | y = x. [para(131(a,2),85(a,1))]. 167 x / (y * (y \ 1)) != z | z = x. [para(14(a,2),157(a,1,2))]. 168 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),159(a,1,1))]. 169 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(55(a,1),30(a,2,1))]. 170 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(56(a,1),24(a,2,1)),flip(a)]. 171 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. 172 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. 173 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. 174 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(64(a,1),28(a,2,2))]. 175 x * (y * T(z,y)) = x * (z * y). [hyper(21,a,122,a)]. 176 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,122,a)]. 177 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,122,a(flip)),flip(a)]. 178 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,122,a(flip)),flip(a)]. 179 (x \ y) * T(x,x \ y) = y. [para(122(a,2),14(a,1))]. 180 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),122(a,1,2))]. 181 x * T(y / x,x) = y. [para(122(a,2),16(a,1))]. 182 x * y != z | y * u != z | T(x,y) = u. [para(122(a,1),17(a,1)),flip(c)]. 183 x * y != z * x | T(z,x) = y. [para(122(a,1),19(a,1)),flip(a)]. 184 x * T(y,x) != z * x | z = y. [para(122(a,2),20(a,2)),flip(a)]. 185 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(122(a,1),24(a,2,1,2)),flip(a)]. 186 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(122(a,1),24(a,2,2,1)),flip(a)]. 187 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(122(a,1),26(a,2,1)),flip(a)]. 188 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(122(a,1),28(a,2,1)),flip(a)]. 189 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(122(a,1),28(a,2,2,2)),flip(a)]. 190 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(122(a,1),30(a,2,1,1)),flip(a)]. 191 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),122(a,1,2))]. 192 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),122(a,1,2))]. 193 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),122(a,1,2))]. 194 T(T(x / y,z),y) = T(y \ x,z). [para(124(a,1),38(a,1,1)),flip(a)]. 195 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(124(a,1),40(a,1,1)),flip(a)]. 196 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(124(a,1),42(a,1,1)),flip(a)]. 197 T(x / (x / y),x / y) = y. [para(124(a,2),65(a,1))]. 198 K(x \ 1,x) = (x \ 1) * x. [para(129(a,1),26(a,2))]. 199 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(129(a,1),28(a,2)),flip(a)]. 200 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(130(a,1),24(a,2)),flip(a)]. 201 K(x,1 / x) = x * (1 / x). [para(130(a,1),26(a,2))]. 202 (1 / x) * (x * y) = L(y,x,1 / x). [para(130(a,1),28(a,2)),flip(a)]. 203 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(133(a,1),30(a,2)),flip(a)]. 204 K(T(x,y),x) = 1. [hyper(36,a,134,a)]. 205 T(x,T(x,y)) = x. [hyper(35,a,134,a)]. 207 K(x,T(x,y)) = 1. [hyper(36,a,205,a)]. 208 T(x / y,y \ x) = x / y. [para(124(a,1),205(a,1,2))]. 209 x / T(y,y \ x) = y \ x. [para(14(a,1),143(a,1,1))]. 210 (x * y) / T(y,T(x,y)) = T(x,y). [para(122(a,1),143(a,1,1))]. 211 (x / (1 * y)) * y = x. [para(146(a,1),14(a,1,2))]. 212 T(T((x * y) / x,z),x) = T(y,z). [para(176(a,1),38(a,1,1)),flip(a)]. 213 K(x,(y * x) / y) = 1. [para(176(a,1),204(a,1,1))]. 214 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),177(a,1,1,2))]. 215 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),178(a,1,2,2))]. 217 T(x,(y * x) / y) = x. [hyper(37,a,213,a)]. 218 x * y != z | T(x,y) = y \ z. [para(122(a,1),81(a,1)),flip(b)]. 219 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. 220 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),57(a,1,2,2))]. 221 x * (x \ y) = y * 1. [para(219(a,1),14(a,1,2)),flip(a)]. 222 x * 1 != y * z | y \ x = z. [para(221(a,1),19(a,1))]. 223 (x / y) * y = x * 1. [para(65(a,1),221(a,1,2))]. 224 x * (x \ y) != z | z = y. [para(221(a,2),85(a,1))]. 225 x * 1 != y * z | x / z = y. [para(223(a,1),20(a,1))]. 226 (x / y) * y != z | z = x. [para(223(a,2),85(a,1))]. 227 (x / y) * y != z | x = z. [para(223(a,2),86(a,1))]. 228 (x / y) * y = z * (z \ x). [para(223(a,2),221(a,2)),flip(a)]. 229 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(24(a,2),224(a,1,2)),flip(b)]. 230 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),224(a,1,2)),flip(b)]. 231 x * T(y,x) != z | y * x = z. [para(32(a,2),224(a,1,2)),flip(b)]. 232 x * y != z | y * T(x,y) = z. [para(178(a,1),224(a,1,2)),flip(b)]. 233 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),226(a,1,1)),flip(b)]. 235 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. 236 ((x * (x \ y)) / z) \ y = z. [hyper(81,a,67,a)]. 237 ((x / y) * y) / z = x / z. [para(16(a,1),68(a,1,1,1,1))]. 238 R((x / y) / z,z,y) = x / (z * y). [para(69(a,1),30(a,2,1))]. 239 x \ (x * y) = 1 \ y. [hyper(70,a,13,a,b,14,a),flip(a)]. 240 x != y | z != y | z = x. [para(11(a,1),70(b,1))]. 241 x \ (x * y) != z | z = y. [para(239(a,2),159(a,1))]. 242 x \ (x * y) != z | y = z. [para(239(a,2),163(a,1))]. 243 (x / y) \ x = y / 1. [hyper(240,a,65,a,b,60,a),flip(a)]. 244 (x / y) \ x = z * (z \ y). [hyper(240,a,65,a,b,14,a),flip(a)]. 245 x / (y \ x) = (y / z) * z. [hyper(240,a,62,a,b,16,a),flip(a)]. 246 x / (y \ x) = z * (z \ y). [hyper(240,a,62,a,b,14,a),flip(a)]. 247 (x * y) / y = (x / z) * z. [hyper(240,a,16,a,b,15,a)]. 248 (x / y) * y = 1 * x. [hyper(240,a,16,a,b,11,a),flip(a)]. 249 x \ (x * y) = z * (z \ y). [hyper(240,a,14,a,b,13,a)]. 250 (x / y) \ x != z | z = y. [para(243(a,2),157(a,1))]. 252 1 * x != y * z | x / z = y. [para(248(a,1),20(a,1))]. 253 (x / ((y / z) * z)) * y = x. [para(248(a,2),211(a,1,1,2))]. 254 x \ (y * x) != z | T(y,x) = z. [para(122(a,1),241(a,1,2)),flip(b)]. 255 x \ (y * T(x,y)) != z | z = y. [para(122(a,2),241(a,1,2))]. 256 T((x * y) / x,x) != z | z = y. [para(124(a,2),241(a,1))]. 259 x != y | z != y | x \ z = 1. [para(14(a,1),72(b,1)),flip(c)]. 260 x != y | z != y | z / x = 1. [para(16(a,1),74(b,1)),flip(c)]. 261 (x / (y * (y \ z))) * z = x. [hyper(227,a,91,a),flip(a)]. 262 ((x / y) * y) * z != u | x \ u = z. [para(92(a,2),81(a,1))]. 263 x * K(y \ x,y) = (y \ x) * y. [hyper(240,a,93,a(flip),b,98,a(flip)),flip(a)]. 264 x * K(y,x / y) = y * (x / y). [hyper(240,a,92,a(flip),b,98,a(flip)),flip(a)]. 265 (x * y) * z != y * x | K(y,x) = z. [para(98(a,1),19(a,1)),flip(a)]. 266 (x * y) * K(y,x) != y * z | z = x. [para(98(a,2),19(a,2)),flip(a)]. 267 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(98(a,1),28(a,2,2,2)),flip(a)]. 268 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(98(a,1),30(a,2,1)),flip(a)]. 269 (x * y) \ (y * x) != z | K(y,x) = z. [para(98(a,1),241(a,1,2)),flip(b)]. 270 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,123,a)]. 271 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,123,a)]. 272 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(123(a,1),38(a,1,1)),flip(a)]. 273 T(x,L(x,y,z)) = x. [hyper(35,a,135,a)]. 274 K(x,L(x,y,z)) = 1. [hyper(36,a,273,a)]. 275 x / K(y,y \ x) = (y \ x) * y. [para(14(a,1),141(a,1,1))]. 276 ((x / y) \ x) * (y \ z) = z. [hyper(240,a,14,a(flip),b,145,a)]. 277 x * (((y / x) \ y) \ z) = z. [hyper(224,a,145,a)]. 278 ((x / y) \ x) * z != u | y \ u = z. [para(145(a,2),81(a,1))]. 279 (x / y) * ((z / y) \ z) = x. [para(65(a,1),147(a,1,2,1,2))]. 280 (x \ y) * z != y | T(x,x \ y) = z. [para(179(a,1),19(a,1)),flip(a)]. 281 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(179(a,1),28(a,2,2,2))]. 282 (x \ y) \ y != z | T(x,x \ y) = z. [para(179(a,1),241(a,1,2)),flip(b)]. 283 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),197(a,1,2))]. 284 T(x / (x / y),y) = x / (x / y). [para(197(a,1),205(a,1,2))]. 285 x * T(x \ 1,x) = K(x \ 1,x). [hyper(240,a,122,a,b,198,a),flip(a)]. 286 (x \ 1) \ K(x \ 1,x) = x. [hyper(81,a,198,a(flip))]. 288 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(198(a,2),24(a,2,1,2)),flip(a)]. 289 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(198(a,2),30(a,2,1,1)),flip(a)]. 290 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(201(a,2),28(a,2,1)),flip(a)]. 292 (((x / y) * y) / z) \ x = z. [hyper(82,a,228,a(flip))]. 293 x / (y \ ((x / z) * z)) = y. [hyper(18,a,147,a,b,228,a(flip))]. 294 (x / y) * y != z * u | z \ x = u. [para(228(a,2),19(a,1))]. 295 x * (x \ y) != z * u | y / u = z. [para(228(a,1),20(a,1))]. 298 x / (y \ x) != z | z = y. [para(245(a,2),226(a,1))]. 299 (x * y) / y != z | z = x. [para(13(a,1),298(a,1,2))]. 300 x / x != y | 1 = y. [para(51(a,1),298(a,1,2)),flip(b)]. 301 (x * T(y,x)) / x != z | z = y. [para(178(a,1),298(a,1,2))]. 302 (1 * x) / y != z | x / y = z. [para(248(a,1),299(a,1,1)),flip(b)]. 303 (x * y) / y != z | (x / u) * u = z. [para(92(a,1),299(a,1,1)),flip(b)]. 304 (x * (x \ y)) \ z = y \ z. [para(246(a,1),65(a,1,1))]. 305 (x * (x \ y)) \ z != u | y \ z = u. [para(246(a,1),250(a,1,1)),flip(b)]. 306 (x * y) / y != z * u | x / u = z. [para(247(a,2),20(a,1))]. 307 ((x / y) * y) * z != u | x * z = u. [para(247(a,1),226(a,1,1)),flip(b)]. 308 (x * y) / y != z | x = z. [para(247(a,2),227(a,1))]. 309 x \ (x * y) != z * u | z \ y = u. [para(249(a,2),19(a,1))]. 310 x * (y * (y \ z)) != u | x * z = u. [para(249(a,1),224(a,1,2)),flip(b)]. 311 R(x,y / z,z) * y = (x * (y / z)) * z. [para(30(a,2),253(a,1,1))]. 312 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),261(a,1,1))]. 313 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(209(a,1),276(a,1,1,1))]. 314 x * ((y / z) \ y) != u | u / z = x. [para(279(a,1),20(a,1)),flip(a)]. 315 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(209(a,1),279(a,1,2,1))]. 316 (x \ 1) * x != y | K(x \ 1,x) = y. [para(286(a,1),224(a,1,2)),flip(b)]. 318 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),293(a,1,2))]. 319 (x / (y \ x)) \ z = y \ z. [para(246(a,2),304(a,1,1))]. 320 1 * x != y * 1 | x = y. [para(11(a,1),79(a,1,1)),flip(a)]. 321 x * y != x * z | z = y. [para(12(a,1),79(a,1))]. 322 1 * x != y | 1 * y = x. [para(49(a,1),320(a,2)),flip(b)]. 323 x != y | 1 * y = x. [para(11(a,1),322(a,1))]. 324 L(x,y,1) = x. [hyper(240,a,52,a(flip),b,103,a(flip))]. 325 L(x,y,1) = x / 1. [hyper(240,a,60,a,b,324,a)]. 327 L(x,y,1) != z | z = x. [para(325(a,2),157(a,1))]. 328 x \ (x * y) = L(y,1,x). [para(12(a,1),104(a,1,1))]. 329 L(x,1,y) = x. [hyper(242,a,328,a),flip(a)]. 330 L(x,1,y) != z | z = x. [para(328(a,1),241(a,1))]. 332 L(1,x,y) = 1. [hyper(158,a,105,a),flip(a)]. 333 L(1,x,y) != z | 1 = z. [para(105(a,1),158(a,1))]. 337 R(1,x,y) = 1. [hyper(300,a,112,a),flip(a)]. 340 (x * y) / y = R(x,1,y). [para(12(a,1),113(a,1,1,1))]. 341 R(x,1,y) = x. [hyper(308,a,340,a),flip(a)]. 342 R(x,1,y) != z | z = x. [para(340(a,1),299(a,1))]. 344 (x * y) / y = R(x,y,1). [para(12(a,1),114(a,1,2))]. 345 R(x,y,1) = x. [hyper(308,a,344,a),flip(a)]. 346 R(x,y,1) != z | z = x. [para(344(a,1),299(a,1))]. 349 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),168(a,1)),flip(b)]. 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),168(a,1)),flip(b)]. 351 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(260,a,xx,b,171,a)]. 352 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(240,a,304,a(flip),b,171,a)]. 353 L(x \ 1,x,1 / x) = 1 / x. [hyper(240,a,130,a(flip),b,171,a)]. 354 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,171,a)]. 355 (x * y) * L(y \ 1,y,x) = x. [para(171(a,2),14(a,1,2))]. 356 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),171(a,2,1))]. 357 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(171(a,1),40(a,2,1)),flip(a)]. 358 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(171(a,1),44(a,1,1))]. 359 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(171(a,1),45(a,1,1)),flip(a)]. 360 x / L(y \ 1,y,x) = x * y. [para(171(a,2),62(a,1,2))]. 361 R(1 / x,x,x \ 1) = x \ 1. [hyper(240,a,133,a(flip),b,172,a)]. 362 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),172(a,2,2))]. 363 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),172(a,2,2))]. 364 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(172(a,1),42(a,2,1)),flip(a)]. 365 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(172(a,1),46(a,1,1)),flip(a)]. 366 R(1 / x,x,y) \ y = x * y. [para(172(a,2),65(a,1,1))]. 368 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(122(a,1),183(a,2))]. 371 x \ (x * y) != z * u | T(z,u) = u \ y. [para(249(a,2),183(a,1))]. 374 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),222(a,1,2))]. 375 x \ x != y * z | y \ 1 = z. [para(138(a,2),222(a,1))]. 376 x * (x \ y) != z * u | z \ y = u. [para(221(a,2),222(a,1))]. 381 (x / y) * y != z * u | x / u = z. [para(223(a,2),225(a,1))]. 382 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),231(a,1,2))]. 383 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),231(a,1,2))]. 384 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),231(a,1,2))]. 386 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),252(a,1,1))]. 387 T(x / y,y) != z | y \ x = z. [para(14(a,1),256(a,1,1,1)),flip(b)]. 388 ((x / y) * y) / z != u | x / z = u. [para(248(a,2),302(a,1,1))]. 389 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(355(a,1),28(a,2,2,2))]. 390 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(355(a,1),241(a,1,2)),flip(b)]. 391 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),360(a,1,2,1))]. 392 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(360(a,1),277(a,1,2,1,1))]. 393 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),366(a,1,1,1))]. 394 x / (y * x) != z | R(1 / y,y,x) = z. [para(366(a,1),298(a,1,2)),flip(b)]. 396 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),387(a,1,1))]. 397 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(73,a,123,a,b,14,a)]. 398 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(73,a,30,a,b,133,a(flip))]. 399 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(73,a,28,a,b,129,a(flip))]. 400 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(73,a,123,a(flip),b,16,a)]. 401 x != y | z * u != y | T(z,u) = u \ x. [para(122(a,1),73(b,1)),flip(c)]. 402 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(75,a,30,a,b,133,a(flip))]. 403 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(75,a,28,a,b,129,a(flip))]. 404 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),99(a,2,1)),flip(a)]. 405 K(x \ 1,x) != y | (x \ 1) * x = y. [para(99(a,1),159(a,1)),flip(b)]. 406 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(122(a,2),99(a,1,2))]. 408 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(180(a,1),28(a,2,2))]. 409 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),191(a,1,2,1))]. 410 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),191(a,1,2,1))]. 411 T(x / y,z) * y = y * T(y \ x,z). [para(124(a,1),191(a,1,2,1)),flip(a)]. 412 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(205(a,1),191(a,1,2,1))]. 413 T((x * y) / x,z) * x = x * T(y,z). [para(176(a,1),191(a,1,2,1)),flip(a)]. 414 (x * T(x \ y,z)) / x = T(y / x,z). [para(194(a,1),177(a,1,1,2))]. 415 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(194(a,1),231(a,1,2))]. 416 (x * T(y,z)) / x = T((x * y) / x,z). [para(212(a,1),177(a,1,1,2))]. 418 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(212(a,1),184(a,1,2)),flip(b)]. 420 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(197(a,1),214(a,1,1,2,1))]. 421 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(214(a,1),256(a,1,1)),flip(b)]. 422 (x \ y) * x != y * z | K(x \ y,x) = z. [para(263(a,1),19(a,1))]. 423 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(263(a,1),28(a,2,2,2)),flip(a)]. 424 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(263(a,1),241(a,1,2)),flip(b)]. 427 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(264(a,1),241(a,1,2)),flip(b)]. 428 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(240,a,198,a,b,275,a)]. 430 x \ (x * y) != z * u | y / u = z. [para(16(a,1),87(a,1,2,2)),flip(b)]. 431 x / x != y * z | 1 / z = y. [para(63(a,1),89(a,1,1)),flip(b)]. 432 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(75,a,175,a(flip),b,106,a)]. 433 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,180,a(flip),b,106,a)]. 434 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(17,a,58,a(flip),b,106,a)]. 435 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(240,a,93,a(flip),b,106,a(flip)),flip(a)]. 436 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(240,a,92,a(flip),b,106,a(flip)),flip(a)]. 437 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(75,a,106,a(flip),b,122,a)]. 438 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(106(a,1),19(a,1)),flip(a)]. 439 (x * y) * L(z,y,x) != x * u | y * z = u. [para(106(a,2),19(a,1))]. 440 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(106(a,1),24(a,2,1,2)),flip(a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(106(a,1),28(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(106(a,1),28(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(106(a,1),30(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(106(a,1),30(a,2,1)),flip(a)]. 445 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),106(a,1,2))]. 446 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),106(a,1,2))]. 447 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),106(a,1,2))]. 448 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(122(a,1),106(a,1,1))]. 449 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(106(a,1),241(a,1,2)),flip(b)]. 450 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(106(a,1),98(a,1,1))]. 451 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(198(a,2),106(a,1,1))]. 452 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(106(a,1),156(a,1)),flip(b)]. 453 (x * (y * z)) * L(u,L(z,y,x),x * y) = (x * y) * (L(z,y,x) * u). [para(106(a,1),106(a,1,1))]. 454 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(240,a,304,a(flip),b,108,a)]. 455 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(240,a,130,a(flip),b,108,a)]. 456 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(240,a,129,a(flip),b,108,a)]. 457 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(240,a,101,a(flip),b,108,a)]. 458 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),108(a,2,1))]. 459 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),108(a,2,2))]. 460 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),108(a,1,1)),flip(a)]. 461 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(108(a,1),40(a,2,1)),flip(a)]. 462 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(122(a,1),108(a,2,1))]. 463 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(201(a,2),108(a,2,2))]. 464 x / L(y \ z,y,x / z) = (x / z) * y. [para(108(a,2),293(a,1,2))]. 465 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(106(a,1),108(a,2,1))]. 466 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(106(a,1),108(a,2,2))]. 467 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(165,a,118,a)]. 468 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(73,a,93,a(flip),b,118,a)]. 469 R(x / y,y,z) \ (x * z) = y * z. [hyper(73,a,92,a(flip),b,118,a)]. 470 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(240,a,175,a(flip),b,118,a(flip)),flip(a)]. 471 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(73,a,118,a(flip),b,106,a)]. 472 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(118(a,1),20(a,1))]. 474 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(118(a,1),26(a,2,1)),flip(a)]. 475 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(118(a,1),30(a,2,1,1)),flip(a)]. 476 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(118(a,1),30(a,2,2)),flip(a)]. 477 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),118(a,1,1))]. 478 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),118(a,1,1))]. 479 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),118(a,1,1))]. 480 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(118(a,1),98(a,1,1))]. 481 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(98(a,1),118(a,1,2))]. 482 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(198(a,2),118(a,1,2))]. 483 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(118(a,1),299(a,1,1)),flip(b)]. 484 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(118(a,2),299(a,1,1)),flip(b)]. 485 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(118(a,1),164(a,1)),flip(b)]. 486 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(118(a,1),106(a,1,1))]. 487 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(118(a,1),118(a,1,2))]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(240,a,133,a(flip),b,119,a)]. 489 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),119(a,2,1))]. 490 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),119(a,2,2))]. 491 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),119(a,2,2))]. 492 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(119(a,2),124(a,1,1))]. 493 R(x / y,y,x \ z) \ z = y * (x \ z). [para(119(a,2),236(a,1,1))]. 494 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(119(a,2),167(a,1)),flip(b)]. 495 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(172(a,2),119(a,1,1))]. 496 R(1 / x,x,y) != z | y / (x * y) = z. [para(119(a,2),302(a,1))]. 497 R(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [para(263(a,1),119(a,2,1))]. 498 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(118(a,1),119(a,2,1))]. 499 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(118(a,1),119(a,2,2))]. 500 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(119(a,2),119(a,1,1))]. 501 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),142(a,1,1,2))]. 502 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(98(a,1),142(a,1,1,2))]. 503 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(122(a,1),148(a,1,2,1))]. 504 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(98(a,1),148(a,1,2,1))]. 505 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(106(a,1),148(a,1,2,1))]. 506 x / K(x \ 1,x) = R(x,x \ 1,x). [para(198(a,2),169(a,2,2)),flip(a)]. 507 K(x,1 / x) \ x = L(x,1 / x,x). [para(201(a,2),174(a,2,1)),flip(a)]. 508 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(73,a,45,a,b,199,a)]. 509 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(240,a,175,a(flip),b,199,a(flip))]. 510 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(199(a,1),241(a,1,2)),flip(b)]. 511 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(73,a,45,a,b,202,a)]. 512 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(75,a,44,a(flip),b,203,a)]. 513 R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). [hyper(240,a,93,a(flip),b,203,a(flip))]. 515 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(235(a,1),45(a,1,1)),flip(a)]. 516 ((x \ y) \ y) * z != u | T(x,x \ y) \ u = z. [para(209(a,1),278(a,1,1,1))]. 517 x * y != z * u | z \ (x * y) = u. [para(15(a,1),294(a,1,1))]. 520 x * T(y,x) != z * u | z \ (y * x) = u. [para(143(a,1),294(a,1,1))]. 522 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(247(a,1),294(a,1,1))]. 523 (x * y) / y != z * u | z \ x = u. [para(247(a,2),294(a,1))]. 533 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(249(a,1),295(a,1,2))]. 539 (x / (y \ x)) \ z != u | y \ z = u. [para(246(a,2),305(a,1,1))]. 541 (x * (x \ y)) * z != u | y * z = u. [para(62(a,1),307(a,1,1,1))]. 542 (x / (y \ x)) * z != u | y * z = u. [para(245(a,2),307(a,1,1))]. 543 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),309(a,1,2))]. 544 x * (y * T(z,y)) != u | x * (z * y) = u. [para(32(a,2),310(a,1,2,2))]. 545 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(199(a,1),310(a,1))]. 547 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(352(a,1),273(a,1,2))]. 548 K((x \ y) \ 1,y \ x) = 1. [para(352(a,1),274(a,1,2))]. 549 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),548(a,1,2))]. 550 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(356(a,1),40(a,2,1)),flip(a)]. 551 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(362(a,1),42(a,2,1)),flip(a)]. 552 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(362(a,2),119(a,1,1))]. 553 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),376(a,1,2))]. 554 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),376(a,1,2))]. 555 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(249(a,1),376(a,1,2))]. 557 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),381(a,1,1))]. 558 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(247(a,1),381(a,1,1))]. 560 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(119(a,2),388(a,1))]. 563 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),396(a,1))]. 565 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(399(a,1),224(a,1,2)),flip(b)]. 568 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(355(a,1),430(a,1,2))]. 569 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(118(a,1),430(a,1,2))]. 570 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(455(a,1),40(a,2,1))]. 571 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(455(a,1),44(a,1,1)),flip(a)]. 572 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(456(a,1),40(a,2,1))]. 573 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(456(a,1),44(a,1,1)),flip(a)]. 574 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(456(a,1),273(a,1,2))]. 575 R(x / (1 / y),1 / y,y) = x * y. [hyper(307,a,467,a),flip(a)]. 576 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(75,a,46,a,b,467,a)]. 577 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(469(a,1),298(a,1,2)),flip(b)]. 578 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),42(a,2,1))]. 579 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),46(a,1,1)),flip(a)]. 580 K(x,1 / x) * L(x,1 / x,x) = x. [para(507(a,1),14(a,1,2))]. 582 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(93(a,2),517(a,1))]. 585 ((x / y) \ x) * z != u | y * z = u. [para(244(a,2),541(a,1,1))]. 586 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(575(a,1),42(a,2,1))]. 587 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(580(a,1),19(a,1)),flip(a)]. 588 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(209(a,1),585(a,1,1,1))]. 589 T(x / y,(z / y) \ z) = y \ x. [hyper(182,a,279,a,b,276,a)]. 590 L(T(x,y),y,x) = T(x,x * y). [hyper(182,a,175,a(flip),b,106,a),flip(a)]. 591 T(L(x,y,x),y) = T(x,x * y). [hyper(240,a,40,a(flip),b,590,a(flip)),flip(a)]. 592 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(590(a,1),44(a,1,1)),flip(a)]. 593 x * T(y,y * x) = L(y,x,y) * x. [para(591(a,1),122(a,1,2))]. 594 (x * T(y,y * x)) / x = L(y,x,y). [para(591(a,1),177(a,1,1,2))]. 595 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),593(a,1,2,2)),flip(a)]. 597 T(L(x,y,x),y) != z | T(x,x * y) = z. [para(594(a,1),256(a,1,1)),flip(b)]. 599 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(240,a,106,a(flip),b,192,a(flip)),flip(a)]. 601 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(192(a,1),24(a,2,1,2)),flip(a)]. 602 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),192(a,1,2,1))]. 603 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(124(a,1),192(a,1,2,1)),flip(a)]. 604 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(176(a,1),192(a,1,2,1)),flip(a)]. 605 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(123(a,1),192(a,1,2,1))]. 607 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(240,a,118,a(flip),b,193,a)]. 608 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(73,a,118,a(flip),b,193,a)]. 609 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(193(a,1),19(a,1))]. 610 R(x,y,z) * x = x * R(x,y,z). [para(121(a,1),193(a,1,2,1)),flip(a)]. 611 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(124(a,1),193(a,1,2,1)),flip(a)]. 612 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(134(a,1),193(a,1,2,1)),flip(a)]. 613 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(176(a,1),193(a,1,2,1)),flip(a)]. 614 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(123(a,1),193(a,1,2,1))]. 615 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(590(a,2),193(a,1,2,1))]. 616 T(x,R(x,y,z)) = x. [hyper(183,a,610,a)]. 617 (x * R(x,y,z)) / x = R(x,y,z). [hyper(90,a,610,a)]. 618 K(R(x,y,z),x) = 1. [hyper(72,a,610,a(flip),b,98,a),flip(a)]. 619 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),616(a,1,2))]. 620 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(195(a,1),177(a,1,1,2))]. 621 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(196(a,1),177(a,1,1,2))]. 622 T(x / (y * x),y) = R(y \ 1,y,x). [para(172(a,1),196(a,1,1))]. 623 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(361(a,1),196(a,1,1)),flip(a)]. 624 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(119(a,1),196(a,1,1))]. 625 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(238(a,1),196(a,1,1)),flip(a)]. 626 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(363(a,1),196(a,1,1)),flip(a)]. 627 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),196(a,1,1)),flip(a)]. 628 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(622(a,1),122(a,1,2)),flip(a)]. 629 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(517,a,270,a)]. 630 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(376,a,270,a),flip(a)]. 631 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(73,a,270,a(flip),b,106,a)]. 632 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(270(a,2),26(a,2,1)),flip(a)]. 634 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(270(a,2),269(a,1,1))]. 637 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(381,a,271,a),flip(a)]. 638 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(240,a,16,a(flip),b,271,a)]. 639 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(75,a,271,a,b,xx)]. 641 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(272(a,1),231(a,1,2))]. 642 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(272(a,1),191(a,1,2,1))]. 643 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),390(a,1,1))]. 644 R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. [para(203(a,1),390(a,1,1))]. 645 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(397(a,2),209(a,1,2,2))]. 646 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(400(a,1),539(a,1))]. 647 K(x \ (x * y),x) = K(y,x). [hyper(240,a,99,a(flip),b,404,a),flip(a)]. 648 K(x \ (x * y),z) = K(y,z). [para(54(a,1),647(a,1,1)),flip(a)]. 649 K((x / y) \ x,z) = K(y,z). [para(16(a,1),648(a,1,1,2))]. 651 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,593,a(flip),b,413,a)]. 652 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(240,a,270,a(flip),b,413,a(flip)),flip(a)]. 653 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(651(a,1),38(a,1,1)),flip(a)]. 654 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(414(a,1),226(a,1,1)),flip(b)]. 655 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(414(a,1),256(a,1,1)),flip(b)]. 657 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(416(a,2),122(a,1,2))]. 658 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(124(a,1),416(a,1,1,2)),flip(a)]. 659 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(416(a,1),226(a,1,1)),flip(b)]. 660 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(416(a,1),256(a,1,1)),flip(b)]. 661 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,574,a)]. 662 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(639(a,1),226(a,1,1)),flip(b)]. 664 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(75,a,93,a(flip),b,94,a)]. 665 ((x * y) * z) / T(x * (y * z),a(x,y,z)) = a(x,y,z). [hyper(75,a,94,a(flip),b,122,a)]. 667 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(56(a,1),94(a,1,1))]. 668 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(122(a,1),94(a,1,1,2))]. 669 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(94(a,1),241(a,1,2)),flip(b)]. 670 L(a(x,y,z) \ u,a(x,y,z),x * (y * z)) = ((x * y) * z) \ ((x * (y * z)) * u). [para(94(a,1),108(a,2,1))]. 671 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(118(a,1),94(a,1,1))]. 672 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(171(a,2),107(a,1,2,2,1))]. 673 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(106(a,1),109(a,1,2,2)),flip(a)]. 674 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),115(a,2,2))]. 675 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(115(a,2),236(a,1,1))]. 676 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(115(a,2),292(a,1,1))]. 677 a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). [para(14(a,1),170(a,1,2,1)),flip(a)]. 678 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(203(a,1),170(a,1,2))]. 679 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(678(a,1),14(a,1,2))]. 680 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(679(a,1),241(a,1,2)),flip(b)]. 682 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(467(a,1),173(a,1,2))]. 683 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(240,a,40,a(flip),b,189,a)]. 684 (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),T(x,y),y). [para(122(a,1),189(a,1,1))]. 685 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(118(a,1),189(a,1,2))]. 686 (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(268(a,1),411(a,1,1,1)),flip(a)]. 687 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(240,a,193,a,b,312,a(flip)),flip(a)]. 688 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(13(a,1),312(a,1,1,3))]. 690 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(357(a,2),106(a,1,2))]. 691 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(387,a,364,a),flip(a)]. 692 x \ (y * x) != z * u | T(z,u) = u \ T(y,x). [para(122(a,1),371(a,1,2))]. 693 T((x * y) / x,x) != z * u | T(z,u) = u \ y. [para(124(a,2),371(a,1))]. 695 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),382(a,1,2,1))]. 696 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(38(a,1),382(a,1,2,1))]. 697 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(81,a,392,a)]. 698 L(x \ 1,x,y) \ z != u | ((y * x) \ y) \ z = u. [para(392(a,1),241(a,1,2)),flip(b)]. 700 K(x,y) = L(x \ T(x,y),x,y). [hyper(240,a,26,a,b,408,a),flip(a)]. 701 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(408(a,1),40(a,2,1))]. 703 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(122(a,2),424(a,1,2))]. 704 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(432(a,1),250(a,1,1)),flip(b)]. 705 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(240,a,192,a(flip),b,435,a(flip))]. 706 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(435(a,1),19(a,1))]. 707 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),435(a,1,2))]. 708 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(435(a,1),241(a,1,2)),flip(b)]. 709 L(x,y \ z,y) * u != y * ((y \ z) * x) | T(z,L(x,y \ z,y)) = u. [para(435(a,1),183(a,2))]. 712 L(x \ y,x,y / x) = T(y / x,y). [hyper(182,a,91,a(flip),b,436,a),flip(a)]. 713 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),436(a,1,2))]. 714 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(454(a,1),40(a,2,1))]. 715 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(454(a,1),44(a,1,1)),flip(a)]. 716 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(458(a,2),254(a,1))]. 717 x / L(y \ z,y,x / z) != u | (x / z) * y = u. [para(459(a,2),298(a,1,2)),flip(b)]. 718 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(468(a,1),298(a,1,2)),flip(b)]. 720 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(490(a,1),196(a,1,1))]. 721 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(491(a,1),42(a,2,1))]. 722 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(491(a,1),46(a,1,1)),flip(a)]. 723 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(172(a,2),491(a,1,1,2))]. 724 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(172(a,2),491(a,1,2))]. 725 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(491(a,1),196(a,1,1)),flip(a)]. 726 R(x * (y * z),a(x,y,z),((x * y) * z) \ u) \ u = a(x,y,z) * (((x * y) * z) \ u). [para(140(a,1),493(a,1,1,1))]. 728 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),624(a,2,1)),flip(a)]. 729 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(625(a,1),118(a,1,1))]. 730 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(625(a,1),312(a,1,1)),flip(a)]. 731 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(240,a,203,a,b,627,a(flip)),flip(a)]. 732 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),627(a,1,1)),flip(a)]. 733 R(T(x \ y,z),x,x \ 1) = T(T(y * (x \ 1),x),z). [para(627(a,1),42(a,2,1))]. 735 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(628(a,1),269(a,1,1))]. 736 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(624(a,1),655(a,1,1))]. 737 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(123(a,1),660(a,1,1))]. 738 T(L(x,y,1 / y),y) = (1 / y) * (x * y). [hyper(168,a,683,a)]. 739 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),683(a,1,1)),flip(a)]. 740 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(240,a,32,a,b,697,a)]. 741 T(R(x,y,x),y * x) = T(x,y). [para(728(a,2),212(a,1,1))]. 742 R(T(x,y * x),y,x) = T(x,y). [hyper(240,a,42,a,b,741,a(flip)),flip(a)]. 743 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(741(a,1),192(a,1,2,1)),flip(a)]. 744 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(741(a,1),193(a,1,2,1)),flip(a)]. 745 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),742(a,1,1,2))]. 746 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(742(a,1),118(a,1,1)),flip(a)]. 747 R(x,1 / x,x) = T(x,1 / x). [para(150(a,1),745(a,1,1))]. 748 T(x,1 / x) / x = x * (1 / x). [hyper(75,a,747,a(flip),b,467,a)]. 749 R(T(x,y),1 / x,x) = T(T(x,1 / x),y). [para(747(a,1),42(a,2,1))]. 750 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(747(a,1),46(a,1,1)),flip(a)]. 751 T(x,1 / x) / x = K(x,1 / x). [hyper(240,a,201,a,b,748,a)]. 753 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(732(a,1),177(a,1,1,2))]. 754 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [para(455(a,1),738(a,1,1)),flip(a)]. 755 T(T(x,1 / x),y) / x = T(x,y) * (1 / x). [hyper(75,a,749,a(flip),b,467,a)]. 756 T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). [para(749(a,1),682(a,1,2))]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(240,a,42,a,b,127,a),flip(a)]. 758 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),230(a,1,2))]. 759 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),230(a,1,2))]. 760 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),230(a,1,2))]. 764 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),233(a,1,1))]. 765 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(122(a,1),233(a,1,2))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(98(a,1),438(a,1,1)),flip(a)]. 767 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(198(a,2),438(a,1,1))]. 769 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(14(a,1),449(a,1,2,2))]. 770 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(122(a,1),449(a,1,1))]. 771 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(58(a,1),449(a,1,2))]. 772 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(106(a,1),449(a,1,2,2))]. 773 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(270(a,2),449(a,1,1))]. 774 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(94(a,1),449(a,1,2,2))]. 775 (x * y) \ (x * R(y,z,z \ 1)) != u | L(a(y,z,z \ 1),y,x) = u. [para(679(a,1),449(a,1,2,2))]. 776 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(122(a,1),452(a,1,2))]. 779 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(263(a,1),472(a,2,2))]. 780 x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. [para(40(a,1),510(a,1,2))]. 781 R(x / y,y,z) != u | (x * z) / (y * z) = u. [para(15(a,1),560(a,1,1,1))]. 782 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(198(a,2),565(a,1,2))]. 783 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(16(a,1),577(a,1,2))]. 784 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(75,a,354,a(flip),b,603,a)]. 785 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(90,a,604,a),flip(a)]. 786 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(75,a,106,a(flip),b,604,a),flip(a)]. 787 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(611(a,1),203(a,1,1))]. 788 (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(268(a,1),611(a,1,1,1)),flip(a)]. 789 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(490(a,1),611(a,1,1))]. 790 (x / y) * R((x / y) \ z,x / y,y) = ((z * y) / x) * (x / y). [para(491(a,1),611(a,1,1)),flip(a)]. 791 T(x,R(T(x,y),z,u)) = x. [hyper(183,a,612,a)]. 792 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(233,a,613,a)]. 793 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(90,a,613,a),flip(a)]. 794 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(81,a,613,a)]. 795 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [hyper(401,a,613,a(flip),b,312,a(flip)),flip(a)]. 796 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(75,a,613,a(flip),b,312,a(flip))]. 798 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(620(a,1),226(a,1,1)),flip(b)]. 799 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(620(a,1),256(a,1,1)),flip(b)]. 800 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(108(a,1),620(a,1,1,2))]. 801 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(235(a,1),620(a,1,1,2)),flip(a)]. 802 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(455(a,1),620(a,1,1,2))]. 803 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(700(a,2),620(a,1,1,2)),flip(a)]. 804 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),621(a,1,1,2,1))]. 805 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(621(a,1),226(a,1,1)),flip(b)]. 806 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(124(a,1),657(a,1,2,1,2)),flip(a)]. 807 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(123(a,1),657(a,1,2,1,2))]. 808 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(658(a,1),177(a,1,1,2))]. 809 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(658(a,1),178(a,1,2,2))]. 810 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(263(a,2),731(a,1,1))]. 813 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(124(a,1),757(a,1,1,1)),flip(a)]. 814 R(R(x,y,z),y * z,u) != w | (((x * y) * z) * u) / ((y * z) * u) = w. [para(30(a,2),781(a,1,1))]. 815 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(785(a,2),226(a,1,1)),flip(b)]. 816 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(785(a,1),106(a,1,2))]. 817 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(235(a,1),785(a,2,1,2))]. 818 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(356(a,1),785(a,2,1,2))]. 819 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(455(a,1),785(a,2,1,2))]. 820 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(454(a,1),785(a,2,1,2))]. 821 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(172(a,1),793(a,2,1,2))]. 823 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(238(a,1),793(a,2,1,2))]. 825 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),793(a,2,1,2))]. 826 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(575(a,1),793(a,2,1,2))]. 827 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(793(a,1),233(a,1,1))]. 828 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(200(a,1),398(a,1,1))]. 829 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(358(a,2),106(a,1,2))]. 830 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(623(a,1),358(a,2,1))]. 831 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(240,a,108,a(flip),b,359,a)]. 832 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(353(a,1),359(a,1,1)),flip(a)]. 833 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(359(a,1),106(a,1,2))]. 834 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(350,a,832,a)]. 835 x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. [para(32(a,1),383(a,1,2,1))]. 838 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(108(a,1),445(a,1,2,1))]. 839 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(235(a,1),445(a,1,2,1))]. 840 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(590(a,1),445(a,1,2,1))]. 841 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(383,a,448,a),flip(a)]. 842 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),448(a,1,2))]. 843 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(358(a,2),448(a,1,2))]. 844 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(122(a,1),461(a,1,1,1)),flip(a)]. 845 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(461(a,2),230(a,1,2))]. 846 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(462(a,1),44(a,1,1)),flip(a)]. 847 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,413,a,b,470,a),flip(a)]. 848 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(119(a,1),477(a,1,1,1))]. 849 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(238(a,1),477(a,1,1,1)),flip(a)]. 850 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(240,a,42,a,b,492,a(flip)),flip(a)]. 851 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(492(a,1),657(a,1,2,1,2)),flip(a)]. 852 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(122(a,1),503(a,1,2))]. 853 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(122(a,1),522(a,2)),flip(b)]. 854 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(32(a,2),533(a,1,2,2))]. 856 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(550(a,2),436(a,1,2)),flip(a)]. 857 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(387,a,551,a),flip(a)]. 859 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(551(a,2),312(a,1,1))]. 860 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(122(a,1),555(a,2)),flip(b)]. 862 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(357(a,1),570(a,1,1))]. 863 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(240,a,509,a(flip),b,572,a(flip)),flip(a)]. 864 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(73,a,572,a(flip),b,199,a),flip(a)]. 865 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(73,a,572,a(flip),b,509,a(flip))]. 867 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(75,a,578,a(flip),b,203,a)]. 868 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(75,a,586,a(flip),b,467,a),flip(a)]. 870 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(171(a,1),599(a,2,1)),flip(a)]. 871 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(73,a,94,a(flip),b,607,a),flip(a)]. 872 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(607(a,1),19(a,1)),flip(a)]. 873 (x * y) * T(y,x) = (y * x) * y. [para(742(a,1),607(a,1,2))]. 874 (x * (y / x)) * x = y * T(x,y / x). [hyper(307,a,873,a),flip(a)]. 875 ((x \ 1) * x) \ x = T(x,x \ 1). [hyper(73,a,55,a(flip),b,873,a)]. 876 K(x \ 1,x) \ x = T(x,x \ 1). [para(198(a,2),875(a,1,1))]. 877 K(x \ 1,x) \ x = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,876,a)]. 878 K(x \ 1,x) * ((x \ 1) \ 1) = x. [para(877(a,1),14(a,1,2))]. 879 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(874(a,1),96(a,1,2))]. 880 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(312(a,1),609(a,1))]. 881 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(240,a,40,a,b,653,a)]. 882 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(122(a,1),664(a,1,1))]. 883 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(40(a,2),687(a,1,2,1))]. 884 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(688(a,1),20(a,1))]. 885 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(458(a,1),739(a,1,1)),flip(a)]. 886 T((x * y) * (x \ 1),x) != z | R(y,x,x \ 1) = z. [para(753(a,1),256(a,1,1)),flip(b)]. 887 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),801(a,2,1,2,1))]. 888 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),801(a,2,1,2))]. 889 (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 | (a(x,y,z) * u) * w = v5. [para(47(a,1),229(a,1,2))]. 890 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(123(a,1),420(a,1,1,2))]. 891 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(122(a,1),669(a,1,1,2))]. 893 ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) != z | a(x \ 1,x,y) = z. [para(198(a,2),669(a,1,2,1))]. 894 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(240,a,402,a,b,806,a(flip)),flip(a)]. 895 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),808(a,1,1,2,1,2))]. 896 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(808(a,1),226(a,1,1)),flip(b)]. 897 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),809(a,1,2,2,1,2))]. 898 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(119(a,1),813(a,1,1,1))]. 899 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(492(a,1),813(a,1,1)),flip(a)]. 901 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),864(a,2,2,1))]. 902 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),864(a,2,2,1))]. 903 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(14(a,1),865(a,1,2,1)),flip(a)]. 904 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),865(a,1,2,1))]. 905 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(240,a,411,a(flip),b,867,a)]. 906 T(x * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. [para(867(a,2),654(a,1))]. 907 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(659,a,868,a),flip(a)]. 908 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(654,a,868,a)]. 909 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [hyper(81,a,902,a)]. 910 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(75,a,902,a(flip),b,411,a)]. 911 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(240,a,864,a(flip),b,905,a)]. 912 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),905(a,1,1,1))]. 913 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(905(a,1),16(a,1,1))]. 914 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(16(a,1),905(a,1,1,1)),flip(a)]. 915 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(907(a,1),16(a,1,1)),flip(a)]. 916 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(55(a,1),907(a,1,1,1)),flip(a)]. 917 (1 / x) * T(x,y) = T(x,y) / x. [para(63(a,1),907(a,1,1,1)),flip(a)]. 918 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(401,a,xx,b,917,a),flip(a)]. 919 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(81,a,917,a)]. 920 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(917(a,1),26(a,2,1)),flip(a)]. 921 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(917(a,1),651(a,1,2))]. 922 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [para(917(a,1),420(a,1,1))]. 923 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(643,a,918,a)]. 924 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(124(a,1),922(a,1,1,1))]. 925 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),908(a,2,1,1))]. 926 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(909(a,1),224(a,1,2)),flip(b)]. 929 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),913(a,1,1,2,1)),flip(a)]. 930 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(231,a,914,a)]. 931 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(915(a,2),20(a,1))]. 932 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(231,a,925,a)]. 933 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [hyper(81,a,925,a)]. 934 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(932(a,1),100(a,1,1)),flip(a)]. 935 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(933(a,1),224(a,1,2)),flip(b)]. 937 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(917(a,1),290(a,1,2,2))]. 938 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(235(a,1),446(a,1,2,1))]. 939 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(198(a,2),447(a,1,1))]. 940 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(108(a,1),447(a,1,2,1))]. 941 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(235(a,1),447(a,1,2,1))]. 942 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(590(a,1),447(a,1,2,1))]. 943 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(240,a,91,a(flip),b,451,a)]. 944 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(119(a,1),478(a,1,1,1))]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(119(a,1),479(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(456(a,1),508(a,1,2,1)),flip(a)]. 948 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(353(a,1),511(a,1,2,1))]. 949 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(455(a,1),511(a,1,2,1))]. 950 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),512(a,1,1,1))]. 952 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(515(a,1),451(a,1,2))]. 953 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,571,a)]. 954 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(830(a,1),571(a,1,1))]. 955 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(73,a,573,a(flip),b,199,a),flip(a)]. 956 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(576(a,2),20(a,1))]. 957 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(575(a,1),576(a,1,1,1)),flip(a)]. 958 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(714(a,1),40(a,2,1))]. 959 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(714(a,1),435(a,1,2)),flip(a)]. 960 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(721(a,1),311(a,1,1)),flip(a)]. 962 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(362(a,1),796(a,1,1,2))]. 963 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(240,a,491,a(flip),b,821,a(flip))]. 964 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(821(a,1),118(a,1,1))]. 965 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),899(a,2,1,2))]. 966 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),899(a,1,1,1)),flip(a)]. 968 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(592(a,1),602(a,1,2))]. 969 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,193,a,b,614,a),flip(a)]. 970 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(73,a,969,a(flip),b,313,a),flip(a)]. 971 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [para(14(a,1),665(a,1,2,1,2))]. 973 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(654,a,729,a)]. 974 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(235(a,1),758(a,1,2,1))]. 976 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(382,a,840,a),flip(a)]. 977 T(x,y) * (x * z) = x * (T(x,y) * z). [para(191(a,1),976(a,1,2)),flip(a)]. 978 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(555,a,977,a)]. 979 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(553,a,977,a),flip(a)]. 980 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(544,a,977,a),flip(a)]. 981 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(533,a,977,a)]. 983 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(374,a,977,a),flip(a)]. 984 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(310,a,977,a),flip(a)]. 985 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(240,a,91,a(flip),b,977,a)]. 986 (x * y) / (x * (T(x,z) \ y)) = T(x,z). [hyper(75,a,91,a(flip),b,977,a)]. 987 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(73,a,91,a(flip),b,977,a)]. 988 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(73,a,56,a(flip),b,977,a),flip(a)]. 989 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),977(a,1,2)),flip(a)]. 991 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(124(a,1),977(a,1,1)),flip(a)]. 992 T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). [para(201(a,2),977(a,1,2))]. 994 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(983(a,1),269(a,1,2))]. 995 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(983(a,1),628(a,1,1,2)),flip(a)]. 996 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(983(a,1),504(a,1,1,1))]. 997 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(90,a,988,a)]. 998 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(81,a,988,a)]. 999 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(75,a,988,a(flip),b,122,a)]. 1000 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(988(a,1),241(a,1,2)),flip(b)]. 1001 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(997(a,1),226(a,1,1)),flip(b)]. 1003 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(997(a,1),910(a,2,1))]. 1004 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(240,a,270,a(flip),b,978,a)]. 1005 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(412(a,1),978(a,1,2))]. 1006 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(81,a,979,a)]. 1007 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(981(a,1),82(a,1,1)),flip(a),flip(b)]. 1008 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(981(a,1),250(a,1,1)),flip(b)]. 1009 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(368,a,985,a),flip(a)]. 1011 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,435,a,b,985,a)]. 1012 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,264,a,b,985,a)]. 1014 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(985(a,1),241(a,1,2)),flip(b)]. 1015 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(124(a,1),1009(a,1,2,1))]. 1016 T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. [para(986(a,1),387(a,1,1))]. 1017 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1006(a,2),224(a,1,2)),flip(b)]. 1018 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(182,a,746,a,b,980,a)]. 1019 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,435,a,b,980,a)]. 1021 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1003(a,1),16(a,1,1))]. 1022 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(124(a,1),1015(a,2,2))]. 1023 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),1022(a,1,2,1))]. 1024 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(124(a,1),1021(a,1,1)),flip(a)]. 1025 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),1023(a,2,2)),flip(a)]. 1026 T(x,y) / (y \ x) = (x * y) / x. [hyper(75,a,1025,a,b,xx)]. 1027 ((x * y) / x) \ T(x,y) = y \ x. [hyper(73,a,1025,a,b,xx)]. 1028 T(x,x / y) / y = (x * (x / y)) / x. [hyper(314,a,1025,a(flip))]. 1029 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),1025(a,2,1,1)),flip(a)]. 1030 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),1025(a,2,2)),flip(a)]. 1032 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(393(a,1),1025(a,2,2)),flip(a)]. 1033 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1025(a,2),624(a,1,1,1)),flip(a)]. 1034 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),1026(a,1,2)),flip(a)]. 1035 T(T(x,x / y) / y,x) = x / y. [para(1028(a,2),176(a,1,1))]. 1036 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1028(a,1),226(a,1,1)),flip(b)]. 1037 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(240,a,806,a(flip),b,1030,a(flip)),flip(a)]. 1038 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),1037(a,1,2,1,2))]. 1039 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(801(a,2),1037(a,1,2))]. 1040 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(75,a,176,a(flip),b,1029,a),flip(a)]. 1041 T(T(x * y,x) / y,x * y) = x. [para(1034(a,1),176(a,1,1))]. 1042 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1034(a,1),847(a,1,1))]. 1043 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(203(a,1),1041(a,1,1,1,1))]. 1044 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(387,a,1042,a)]. 1045 x * R(y,x,T(y,x)) = T(y * x,y). [para(1042(a,1),181(a,1,2))]. 1046 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1042(a,1),387(a,1))]. 1047 L(R(x,y,T(x,y)),y,x) = x. [para(1044(a,1),433(a,1,1))]. 1048 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(177(a,1),1038(a,1,2)),flip(a)]. 1050 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(201(a,2),1014(a,1,2))]. 1051 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1017(a,1,2,2))]. 1052 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(411(a,1),989(a,1,2))]. 1053 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(123(a,1),1004(a,1,2,1))]. 1055 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1005(a,1),1008(a,1))]. 1056 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(918(a,1),1012(a,1,2))]. 1057 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(73,a,12,a(flip),b,1052,a)]. 1059 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(230,a,1039,a)]. 1060 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1039(a,1),230(a,1))]. 1062 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(81,a,856,a)]. 1063 (x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z. [para(856(a,1),19(a,1)),flip(a)]. 1064 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(285(a,1),856(a,1,2))]. 1065 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(654,a,859,a),flip(a)]. 1066 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(422,a,870,a)]. 1067 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(75,a,1066,a,b,411,a)]. 1068 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(920(a,1),108(a,1,1)),flip(a)]. 1069 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),947(a,2,2,1))]. 1070 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(235(a,1),947(a,1,2)),flip(a)]. 1071 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(240,a,605,a(flip),b,1069,a(flip)),flip(a)]. 1073 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(1071(a,1),628(a,1,1,2)),flip(a)]. 1074 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),949(a,1,2,1)),flip(a)]. 1075 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(240,a,603,a(flip),b,950,a)]. 1076 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),953(a,2,1))]. 1077 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(789(a,2),953(a,1,2))]. 1078 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(81,a,1076,a)]. 1079 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(73,a,363,a(flip),b,1076,a),flip(a)]. 1080 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,679,a,b,1076,a)]. 1082 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(628(a,2),1076(a,1,2))]. 1083 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(401,a,172,a(flip),b,1082,a),flip(a)]. 1084 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(75,a,362,a(flip),b,1082,a)]. 1085 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1078(a,1),680(a,1))]. 1086 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),955(a,2,2,1))]. 1087 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(240,a,614,a(flip),b,1086,a(flip)),flip(a)]. 1088 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(73,a,1086,a(flip),b,614,a(flip))]. 1089 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(73,a,678,a(flip),b,1087,a)]. 1090 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(75,a,1087,a(flip),b,193,a)]. 1091 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1087(a,1),98(a,1,1))]. 1092 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(1087(a,1),628(a,1,1,2)),flip(a)]. 1093 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1087(a,1),658(a,2,1))]. 1095 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(11(a,1),957(a,2,1,1))]. 1096 R(x * y,z,u) / y != w * (1 / y) | R(x / (1 / y),z,u) = w. [para(957(a,1),20(a,1))]. 1097 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(805,a,1095,a)]. 1098 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(65(a,1),1097(a,1,2,1))]. 1099 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(542,a,1098,a),flip(a)]. 1100 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(401,a,xx,b,1098,a),flip(a)]. 1101 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(90,a,1098,a)]. 1102 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [para(1098(a,2),16(a,1,1))]. 1103 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1098(a,1),183(a,2)),flip(a)]. 1104 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1098(a,1),108(a,2,1))]. 1105 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1101(a,1),226(a,1,1)),flip(b)]. 1106 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(1100(a,1),676(a,1,1,2))]. 1107 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(240,a,806,a(flip),b,962,a)]. 1108 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(240,a,690,a(flip),b,973,a(flip))]. 1109 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(124(a,1),991(a,1,2,1))]. 1110 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(176(a,1),991(a,1,2,1)),flip(a)]. 1111 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(197(a,1),991(a,1,2,1)),flip(a)]. 1112 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(240,a,64,a(flip),b,1109,a)]. 1113 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(73,a,56,a(flip),b,1109,a),flip(a)]. 1114 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(776,a,1112,a)]. 1115 (1 / x) * K(x \ 1,x) = x \ 1. [para(198(a,2),1112(a,1,2))]. 1116 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(1115(a,1),183(a,2))]. 1117 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1114(a,1),511(a,1,2,1))]. 1118 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1113(a,1),19(a,1))]. 1119 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(703,a,1062,a)]. 1120 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(73,a,406,a(flip),b,1062,a(flip))]. 1121 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1062(a,1),703(a,1))]. 1122 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(240,a,916,a(flip),b,1119,a)]. 1123 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(240,a,901,a(flip),b,1119,a)]. 1124 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(918(a,1),1119(a,1,1))]. 1125 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(62(a,1),1120(a,1,2,1,2))]. 1126 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1026(a,1),1120(a,1,2,1,2))]. 1127 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1122(a,2),16(a,1,1)),flip(a)]. 1128 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(622(a,1),1122(a,2,1))]. 1129 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(124(a,1),1123(a,2,2))]. 1130 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(176(a,1),1123(a,2,2))]. 1131 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(1099(a,1),1123(a,1,1,2))]. 1132 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(1127(a,2),299(a,1,1)),flip(b)]. 1133 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(13(a,1),1125(a,1,2,1)),flip(a)]. 1134 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(1088(a,1),1129(a,2,2))]. 1135 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(1133(a,2),14(a,1,2)),flip(a)]. 1136 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(171(a,2),1133(a,1,1,1))]. 1137 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1136(a,2),392(a,1,2)),flip(a)]. 1138 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1136(a,1),912(a,1,1))]. 1139 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(124(a,1),1065(a,1,1,1))]. 1140 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(411(a,1),1065(a,1,1))]. 1141 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(198(a,2),1139(a,1,1))]. 1142 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [hyper(73,a,319,a(flip),b,1074,a),flip(a)]. 1143 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),1075(a,1,1,1,2))]. 1144 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(14(a,1),1084(a,1,2,1,2))]. 1145 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(1144(a,1),65(a,1,1))]. 1146 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(240,a,192,a(flip),b,1117,a)]. 1147 (1 / x) \ L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. [para(1117(a,2),383(a,1))]. 1148 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1146(a,1),14(a,1,2))]. 1149 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(352(a,1),1146(a,1,2)),flip(a)]. 1150 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(240,a,171,a(flip),b,1148,a),flip(a)]. 1151 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(171(a,1),1150(a,2,2,1)),flip(a)]. 1152 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(81,a,1151,a)]. 1153 ((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x). [hyper(73,a,1151,a(flip),b,139,a(flip)),flip(a)]. 1156 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1130(a,2),396(a,1,2))]. 1157 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(420(a,1),1130(a,1,1,2,2,1))]. 1158 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1140(a,1),299(a,1,1)),flip(b)]. 1159 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(901(a,1),1140(a,1,1))]. 1160 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(240,a,446,a(flip),b,615,a(flip)),flip(a)]. 1161 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(193(a,1),1160(a,1,2)),flip(a)]. 1162 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(860,a,1161,a),flip(a)]. 1163 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(555,a,1161,a)]. 1164 R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. [hyper(553,a,1161,a),flip(a)]. 1165 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [hyper(544,a,1161,a),flip(a)]. 1166 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(533,a,1161,a)]. 1167 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(310,a,1161,a),flip(a)]. 1168 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(81,a,1161,a)]. 1169 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(73,a,91,a(flip),b,1161,a)]. 1170 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(73,a,56,a(flip),b,1161,a),flip(a)]. 1172 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(232,a,1170,a)]. 1173 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1170(a,1),202(a,1,2)),flip(a)]. 1174 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(118(a,1),1163(a,1,2)),flip(a)]. 1175 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(312(a,1),1163(a,1,2)),flip(a)]. 1176 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1166(a,1),250(a,1,1)),flip(b)]. 1177 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(182,a,118,a(flip),b,1167,a),flip(a)]. 1178 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1177(a,1,2))]. 1179 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(81,a,1178,a)]. 1180 T(x * y,x) != z * T(y,x) | R(x,y,x) = z. [para(1178(a,1),20(a,1))]. 1181 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(90,a,1174,a),flip(a)]. 1182 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(674(a,1),1175(a,1,1)),flip(a)]. 1183 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [hyper(641,a,271,a)]. 1184 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(454(a,1),707(a,1,2,1)),flip(a)]. 1185 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(458(a,1),713(a,1,2,1)),flip(a)]. 1186 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(715(a,1),435(a,1,2)),flip(a)]. 1187 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(722(a,1),311(a,1,1)),flip(a)]. 1188 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(240,a,478,a(flip),b,743,a(flip))]. 1189 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [hyper(386,a,1188,a)]. 1191 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(240,a,479,a(flip),b,744,a(flip))]. 1192 L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). [para(122(a,1),786(a,2,1,2))]. 1194 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(171(a,1),816(a,1,2,1,2))]. 1195 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(108(a,1),816(a,1,2,1,2))]. 1196 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(235(a,1),816(a,1,2,1,2))]. 1197 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(817(a,1),230(a,1,2))]. 1198 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(818(a,1),436(a,1,2)),flip(a)]. 1199 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(73,a,819,a(flip),b,202,a)]. 1200 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(75,a,826,a(flip),b,467,a),flip(a)]. 1201 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(240,a,705,a(flip),b,882,a)]. 1202 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1201(a,1),65(a,1,1))]. 1204 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(240,a,416,a(flip),b,888,a)]. 1206 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(13(a,1),926(a,1,2,1,2))]. 1208 (x * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). [para(1019(a,1),448(a,2,2))]. 1209 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),474(a,1,1,1))]. 1210 (a(x,y,z) * (u * w)) * a(a(x,y,z),w,u) != v5 * v6 | v5 \ ((a(x,y,z) * u) * w) = v6. [para(47(a,1),554(a,1,2))]. 1211 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(642(a,1),435(a,2,2))]. 1212 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(652(a,2),19(a,1))]. 1213 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(108(a,1),759(a,1,2,1))]. 1216 (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(106(a,1),829(a,1,1))]. 1218 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(240,a,973,a(flip),b,838,a(flip)),flip(a)]. 1219 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(14(a,1),1218(a,1,1,1,2,1)),flip(a)]. 1220 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(177(a,1),1218(a,1,1,1,2)),flip(a)]. 1221 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(182,a,1220,a(flip),b,175,a(flip))]. 1223 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(73,a,1221,a,b,263,a)]. 1225 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1221(a,2),61(a,1,2,1))]. 1226 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1225(a,1,2,1,1,1))]. 1227 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),1225(a,1,2,1,1)),flip(a)]. 1228 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(907(a,1),1226(a,1,2)),flip(a)]. 1229 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(73,a,1227,a,b,xx)]. 1230 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(416(a,1),1229(a,1,2,1,2))]. 1231 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(785(a,2),1229(a,1,2,1,2))]. 1232 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1223(a,1,2,1,1))]. 1233 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(864(a,1),1219(a,1,2)),flip(a)]. 1234 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(908(a,1),1219(a,1,2)),flip(a)]. 1235 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1141(a,2),1219(a,1,2)),flip(a)]. 1236 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),1235(a,1,1,1,2)),flip(a)]. 1238 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(198(a,2),1236(a,2,1))]. 1239 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1238(a,1,2,2)),flip(a)]. 1240 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1238(a,1,2,2))]. 1241 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1239(a,1),19(a,1)),flip(a)]. 1242 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1239(a,1),189(a,1,2))]. 1244 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(659,a,848,a),flip(a)]. 1245 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(654,a,848,a)]. 1246 (x * T(y,z)) * y = (x * y) * T(y,z). [para(413(a,1),1244(a,1,1))]. 1247 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(558,a,1246,a)]. 1248 (1 / T(x,y)) * x = x / T(x,y). [hyper(386,a,1246,a),flip(a)]. 1249 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(307,a,1246,a),flip(a)]. 1250 (x * T(y,x * y)) * y = y * (x * y). [hyper(240,a,122,a(flip),b,1246,a)]. 1251 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(240,a,92,a(flip),b,1246,a)]. 1252 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(81,a,1246,a)]. 1255 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(122(a,1),1246(a,2,1))]. 1256 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(124(a,1),1246(a,1,1,2)),flip(a)]. 1257 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(401,a,xx,b,1248,a)]. 1260 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1247(a,2),183(a,2)),flip(a)]. 1262 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1249(a,1),299(a,1,1)),flip(b)]. 1263 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1048(a,2),1249(a,1,1))]. 1265 (x / y) * T(y,x) = (y * x) / y. [hyper(75,a,122,a(flip),b,1251,a),flip(a)]. 1267 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(542,a,1265,a),flip(a)]. 1268 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(401,a,xx,b,1265,a),flip(a)]. 1269 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1265(a,1),254(a,1,2))]. 1270 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(360(a,1),1265(a,1,1)),flip(a)]. 1271 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(391(a,1),1265(a,1,1)),flip(a)]. 1272 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1252(a,1),966(a,1,1)),flip(a)]. 1274 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(240,a,1127,a(flip),b,1257,a(flip)),flip(a)]. 1275 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1257(a,1),411(a,1,1)),flip(a)]. 1276 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1263(a,1),980(a,1,2)),flip(a)]. 1277 T(x * T(x \ y,y),x \ y) = y. [para(1267(a,1),176(a,1,1))]. 1279 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(11(a,1),1262(a,1,1))]. 1280 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(90,a,1276,a),flip(a)]. 1281 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(240,a,1048,a(flip),b,1280,a(flip))]. 1282 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(191(a,1),1255(a,1,1))]. 1283 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(182,a,1282,a,b,122,a(flip))]. 1285 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(124(a,1),1256(a,1,2))]. 1286 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(176(a,1),1256(a,1,2)),flip(a)]. 1287 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(197(a,1),1256(a,1,2)),flip(a)]. 1288 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(558,a,1285,a)]. 1289 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(386,a,1285,a),flip(a)]. 1291 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(401,a,xx,b,1289,a),flip(a)]. 1292 (1 / (x / y)) * (y \ x) != z | (y \ x) / (x / y) = z. [para(1288(a,1),302(a,1))]. 1293 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1291(a,1),1122(a,1,1))]. 1294 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(177(a,1),897(a,1,2,2))]. 1295 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(172(a,2),924(a,2,1,2,2))]. 1296 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(383,a,942,a),flip(a)]. 1297 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(192(a,1),1296(a,1,2)),flip(a)]. 1298 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(860,a,1297,a),flip(a)]. 1299 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(555,a,1297,a)]. 1300 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(553,a,1297,a),flip(a)]. 1301 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(310,a,1297,a),flip(a)]. 1302 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(81,a,1297,a)]. 1303 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(73,a,91,a(flip),b,1297,a)]. 1304 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(73,a,56,a(flip),b,1297,a),flip(a)]. 1305 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(73,a,1297,a(flip),b,98,a)]. 1307 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(81,a,1304,a)]. 1308 (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 1. [hyper(73,a,697,a(flip),b,1304,a)]. 1309 L(x,y,z) \ x != x * u | L(x,y,z) \ 1 = u. [para(1304(a,1),19(a,1))]. 1310 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1304(a,1),26(a,2,1)),flip(a)]. 1312 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1304(a,1),202(a,1,2)),flip(a)]. 1314 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(81,a,1300,a)]. 1315 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(73,a,32,a,b,1300,a),flip(a)]. 1318 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1302(a,1),1204(a,1,1,1)),flip(a)]. 1319 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(198(a,2),1303(a,1,2))]. 1320 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(81,a,959,a)]. 1321 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(73,a,122,a(flip),b,959,a),flip(a)]. 1322 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),959(a,2,2,1,2))]. 1323 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(81,a,1322,a),flip(a)]. 1324 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(285(a,1),1322(a,1,2)),flip(a)]. 1325 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1119(a,2),1322(a,1,2)),flip(a)]. 1326 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(935,a,1325,a),flip(a)]. 1327 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(926,a,1325,a),flip(a)]. 1328 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(517,a,1325,a),flip(a)]. 1329 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1325(a,1,2,1)),flip(a)]. 1330 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),1325(a,2,2,1,2,2))]. 1331 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1325(a,2,2,1,2,2))]. 1332 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1328(a,1,1,2))]. 1333 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),1328(a,2,2,2,1))]. 1334 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(351(a,1),1329(a,1,2,1,2))]. 1335 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1265(a,1),1333(a,2,2))]. 1336 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(75,a,411,a(flip),b,960,a)]. 1337 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(124(a,1),1024(a,1,2)),flip(a)]. 1338 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),1337(a,1,2,1,1)),flip(a)]. 1339 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1110(a,1,1)),flip(a)]. 1340 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(555,a,1339,a)]. 1341 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(374,a,1339,a),flip(a)]. 1342 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(73,a,91,a(flip),b,1339,a)]. 1343 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(73,a,56,a(flip),b,1339,a),flip(a)]. 1344 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(90,a,1341,a)]. 1345 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(240,a,807,a,b,1341,a(flip)),flip(a)]. 1346 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(420(a,1),1343(a,1,2,1)),flip(a)]. 1348 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(708,a,1340,a),flip(a)]. 1349 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(585,a,1111,a),flip(a)]. 1350 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(374,a,1349,a),flip(a)]. 1352 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(240,a,64,a(flip),b,1349,a)]. 1353 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(1292,a,1350,a)]. 1354 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1199(a,1,2,1,2))]. 1355 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1036,a,1200,a),flip(a)]. 1356 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1200(a,2,1,1,2))]. 1357 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1355(a,1,1,1,2)),flip(a)]. 1358 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1355(a,1),238(a,1,1))]. 1359 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(240,a,1281,a(flip),b,1358,a)]. 1360 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(896,a,1356,a)]. 1361 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(65(a,1),1360(a,1,2,1,2))]. 1362 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(542,a,1361,a),flip(a)]. 1363 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(411(a,1),1245(a,2,1))]. 1364 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1286(a,1,1,2)),flip(a)]. 1365 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(558,a,1364,a)]. 1366 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(386,a,1364,a),flip(a)]. 1367 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1038(a,1),1364(a,1,1)),flip(a)]. 1368 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(307,a,1367,a),flip(a)]. 1369 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1007,a,1368,a)]. 1371 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(90,a,1369,a)]. 1374 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(240,a,1357,a,b,1371,a(flip)),flip(a)]. 1375 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1374(a,1,2,2,2)),flip(a)]. 1376 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(65(a,1),1287(a,1,1,2)),flip(a)]. 1377 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [hyper(557,a,1376,a),flip(a)]. 1378 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(386,a,1376,a),flip(a)]. 1379 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1320(a,1,2,2,1,2)),flip(a)]. 1380 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(178(a,1),1320(a,1,2,2,1)),flip(a)]. 1381 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(73,a,178,a(flip),b,1380,a),flip(a)]. 1382 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(240,a,411,a(flip),b,1336,a)]. 1383 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(240,a,839,a(flip),b,1363,a(flip)),flip(a)]. 1384 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(182,a,1363,a(flip),b,839,a(flip)),flip(a)]. 1385 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1363(a,1,2,1,2))]. 1387 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1384(a,1,2,1,2)),flip(a)]. 1388 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(73,a,1387,a,b,xx)]. 1389 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1388(a,1,2,1,2,1))]. 1390 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1229(a,1),1389(a,2,1))]. 1391 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(240,a,1230,a(flip),b,1390,a(flip)),flip(a)]. 1392 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1390(a,1),14(a,1,2)),flip(a)]. 1393 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(153(a,1),1392(a,2,2,1,1))]. 1395 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(240,a,839,a(flip),b,1385,a(flip)),flip(a)]. 1396 T(x,x * T(x \ 1,y)) = x. [hyper(182,a,690,a(flip),b,1385,a(flip))]. 1397 T(x,(x \ 1) * x) = x. [para(122(a,1),1396(a,1,2))]. 1398 T(x,K(x \ 1,x)) = x. [para(285(a,1),1396(a,1,2))]. 1399 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1396(a,1),745(a,1,1))]. 1400 T(x \ 1,x \ T(x,y)) = x \ 1. [para(901(a,1),1396(a,1,2))]. 1401 T(1 / x,T(x,y) / x) = 1 / x. [para(916(a,1),1396(a,1,2))]. 1402 R(x,x \ 1,x) = T(x,x \ 1). [para(1397(a,1),742(a,1,1))]. 1403 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,1402,a)]. 1404 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1402(a,1),42(a,2,1))]. 1405 T(x,x \ 1) \ x = (x \ 1) * x. [para(1402(a,1),393(a,1,1))]. 1406 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(240,a,506,a,b,1403,a(flip)),flip(a)]. 1407 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1400,a)]. 1408 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(983(a,2),1400(a,1,2))]. 1409 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1401(a,1),416(a,1,1,2)),flip(a)]. 1410 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(182,a,1405,a(flip),b,988,a),flip(a)]. 1412 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1406(a,1),16(a,1,1))]. 1413 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1406(a,1),250(a,1,1)),flip(b)]. 1414 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1410(a,1),360(a,1,2,1))]. 1415 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(589(a,1),1410(a,1,1)),flip(a)]. 1416 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(588,a,1412,a)]. 1417 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1407(a,1),701(a,1,1)),flip(a)]. 1418 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1408(a,1),742(a,1,1))]. 1419 T(x,1 / x) = (x \ 1) \ 1. [para(65(a,1),1415(a,1,1))]. 1420 T(x,1 / x) = T(x,x \ 1). [hyper(240,a,123,a,b,1419,a)]. 1421 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1419(a,1),177(a,1,1,2))]. 1422 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1419(a,1),751(a,1,1))]. 1423 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1419(a,1),1189(a,1,1,1))]. 1424 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [para(62(a,1),1420(a,1,2)),flip(a)]. 1425 T(x,x \ 1) / x = K(x,1 / x). [para(1420(a,1),751(a,1,1))]. 1426 T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). [para(1420(a,1),755(a,1,1,1))]. 1427 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1420(a,1),750(a,2,1))]. 1428 T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). [para(1420(a,1),756(a,1,2,1))]. 1429 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1422(a,1,1,1)),flip(a)]. 1430 T(1 / (1 / x),x \ 1) = x. [hyper(240,a,890,a(flip),b,1421,a(flip)),flip(a)]. 1431 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1430(a,1),38(a,1,1)),flip(a)]. 1432 T(1 / (1 / (1 / x)),x) = 1 / x. [para(65(a,1),1430(a,1,2))]. 1433 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1430(a,1),122(a,1,2)),flip(a)]. 1434 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1430(a,1),1065(a,1,1,1))]. 1435 T(x,x \ 1) / x = K(x,x \ 1). [para(1430(a,1),1293(a,1,1)),flip(a)]. 1436 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1432(a,1),122(a,1,2)),flip(a)]. 1437 K(x,1 / x) = K(x,x \ 1). [hyper(240,a,1425,a(flip),b,1435,a(flip)),flip(a)]. 1438 K(x,x \ 1) * x = T(x,x \ 1). [para(1435(a,1),16(a,1,1))]. 1439 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(123(a,1),1435(a,1,1))]. 1440 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1437,a),flip(a)]. 1441 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(240,a,649,a,b,1437,a(flip)),flip(a)]. 1442 x \ K(x,x \ 1) = 1 / x. [hyper(73,a,1437,a(flip),b,201,a(flip))]. 1443 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),1437(a,1,2)),flip(a)]. 1444 K(x,x \ 1) != y | x * (1 / x) = y. [para(1437(a,1),349(a,1))]. 1446 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1437(a,1),1050(a,1,2))]. 1448 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1440(a,2),118(a,1,2))]. 1451 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1440(a,2),438(a,1,1))]. 1453 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1440(a,2),849(a,2,2))]. 1454 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1440(a,2),1297(a,1,2))]. 1455 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1440(a,2),1303(a,1,2))]. 1456 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1440(a,2),1352(a,1,2))]. 1457 x * (1 / x) != y | K(x,x \ 1) = y. [para(1442(a,1),224(a,1,2)),flip(b)]. 1459 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,1438,a)]. 1460 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1438(a,1),438(a,1,1))]. 1461 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1459(a,1),299(a,1,1)),flip(b)]. 1463 K(x,1 / x) != y | K(x,x \ 1) = y. [para(201(a,2),1457(a,1))]. 1464 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(123(a,2),1424(a,1,2))]. 1465 (x \ 1) / (1 / x) = (x \ 1) * x. [hyper(1292,a,1433,a)]. 1466 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(240,a,198,a,b,1465,a)]. 1468 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(240,a,1353,a(flip),b,1466,a(flip)),flip(a)]. 1469 K(x \ 1,x) * (1 / x) = x \ 1. [para(1466(a,1),16(a,1,1))]. 1470 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1466(a,1),856(a,1,1))]. 1471 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(698,a,1468,a),flip(a)]. 1472 x * K(x \ 1,x) = 1 / (1 / x). [para(1468(a,1),14(a,1,2))]. 1474 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(1116,a,1469,a)]. 1475 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1469(a,1),20(a,1)),flip(a)]. 1476 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1469(a,1),106(a,1,1))]. 1477 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1469(a,1),108(a,2,1))]. 1478 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1469(a,1),118(a,1,2))]. 1481 L(x,x \ 1,x) = 1 / (1 / x). [hyper(782,a,1472,a)]. 1483 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(1472(a,1),449(a,1,2,2))]. 1484 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1481(a,1),40(a,2,1))]. 1485 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1481(a,1),44(a,1,1)),flip(a)]. 1486 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1474(a,1),192(a,1,2,1)),flip(a)]. 1488 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(240,a,1440,a,b,1436,a)]. 1489 x / (1 / (1 / x)) = x * (1 / x). [hyper(240,a,1378,a(flip),b,1436,a(flip)),flip(a)]. 1490 x / (1 / (1 / x)) = K(x,1 / x). [hyper(240,a,201,a,b,1489,a)]. 1491 K(x,1 / x) * (1 / (1 / x)) = x. [para(1490(a,1),16(a,1,1))]. 1492 L(x,1 / x,x) = 1 / (1 / x). [hyper(587,a,1491,a)]. 1493 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1437(a,1),1491(a,1,1))]. 1494 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1492(a,1),40(a,2,1))]. 1495 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1493(a,1),28(a,2,2,2))]. 1496 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1493(a,1),106(a,1,1))]. 1497 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(1493(a,1),108(a,2,1))]. 1499 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1488(a,1),483(a,1,1,1))]. 1502 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(75,a,1484,a(flip),b,199,a)]. 1503 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(240,a,937,a,b,1494,a(flip)),flip(a)]. 1504 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(240,a,1466,a(flip),b,1429,a)]. 1505 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1463,a,1504,a)]. 1506 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),1505(a,1,2))]. 1507 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),1506(a,1,1)),flip(a)]. 1508 x * K(1 / x,x) = 1 / (1 / x). [para(1506(a,2),1472(a,1,2))]. 1509 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1507(a,1),1238(a,1,2,1))]. 1510 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1427(a,1),682(a,1,2))]. 1511 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(65(a,1),1423(a,1,1,1,1)),flip(a)]. 1512 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1423(a,1),124(a,1,1))]. 1513 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(240,a,700,a,b,1417,a),flip(a)]. 1514 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1513(a,2,1)),flip(a)]. 1515 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1514,a)]. 1516 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1515(a,1),231(a,1,2))]. 1517 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1515(a,1),357(a,2,1))]. 1518 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(240,a,171,a(flip),b,1517,a)]. 1519 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1518,a)]. 1520 T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). [para(38(a,1),1428(a,1,2))]. 1521 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). [para(1428(a,1),209(a,1,2,2))]. 1522 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(854,a,1395,a)]. 1523 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [hyper(544,a,1395,a),flip(a)]. 1524 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1159(a,2),1395(a,1,2))]. 1525 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1088(a,1),1522(a,1,1,2,1))]. 1526 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1152(a,1),1523(a,2,2,1,2)),flip(a)]. 1527 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1503(a,1),14(a,1,2))]. 1528 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1437(a,1),1527(a,1,1))]. 1530 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1379(a,1,1))]. 1531 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),1382(a,1,1,2,1,2)),flip(a)]. 1532 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(1382(a,1),16(a,1,1))]. 1533 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(122(a,1),1382(a,1,1)),flip(a)]. 1534 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(838(a,1),1382(a,1,1)),flip(a)]. 1535 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(839(a,1),1382(a,1,1))]. 1536 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1121,a,1531,a)]. 1537 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(240,a,1066,a,b,1531,a(flip)),flip(a)]. 1539 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1536(a,2),16(a,1,1))]. 1540 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1536(a,1,1,2,2))]. 1541 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(59(a,1),1539(a,1,1,1,2))]. 1542 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(240,a,409,a(flip),b,1541,a)]. 1543 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(240,a,1228,a,b,1383,a(flip)),flip(a)]. 1544 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1383(a,1,2,2,1,2,2))]. 1545 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1383(a,1,2,2,1,2,2)),flip(a)]. 1546 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(286(a,1),1383(a,2,1,2,1))]. 1547 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(108(a,2),1383(a,1,2,2,1,2)),flip(a)]. 1548 (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). [para(122(a,1),1532(a,1,1))]. 1549 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1545(a,1),254(a,1,2))]. 1550 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(411(a,2),1545(a,1,1))]. 1551 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(864(a,1),1545(a,1,1)),flip(a)]. 1552 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1064(a,2),1545(a,1,1))]. 1553 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(53(a,1),1552(a,2,2,2,1,2))]. 1554 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [hyper(240,a,175,a(flip),b,1553,a)]. 1556 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(285(a,1),1553(a,2,2))]. 1557 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,118,a(flip),b,1554,a)]. 1558 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(784(a,1),1556(a,1,1,1))]. 1559 x * K(y \ 1,y) != z * (y \ 1) | R(z,y \ 1,y) / y = x. [para(1557(a,1),20(a,1)),flip(a)]. 1560 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(75,a,579,a(flip),b,787,a)]. 1561 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1560(a,1,1,1)),flip(a)]. 1562 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(820(a,1),435(a,1,2)),flip(a)]. 1563 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(462(a,1),842(a,1,2,1))]. 1564 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(44(a,1),883(a,1,2))]. 1565 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1025(a,2),1077(a,1,2,1,1)),flip(a)]. 1566 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(240,a,790,a(flip),b,1079,a(flip))]. 1567 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(11(a,1),1566(a,2,1,1))]. 1568 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1567(a,1),14(a,1,2))]. 1569 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(240,a,62,a(flip),b,1568,a)]. 1570 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(62(a,1),1569(a,1,2,1))]. 1571 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(401,a,xx,b,1570,a)]. 1573 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(352(a,1),1149(a,1,1)),flip(a)]. 1574 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1573(a,1,2)),flip(a)]. 1575 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1573(a,1),14(a,1,2))]. 1576 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(401,a,xx,b,1575,a)]. 1577 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1574(a,1,1)),flip(a)]. 1578 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1577(a,1),14(a,1,2))]. 1579 L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). [para(416(a,1),1192(a,1,1))]. 1580 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1318(a,2,1))]. 1581 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1580(a,1),413(a,1,1)),flip(a)]. 1582 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,192,a,b,1581,a),flip(a)]. 1583 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(414(a,1),1399(a,1,2)),flip(a)]. 1584 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(414(a,1),1583(a,1,2)),flip(a)]. 1585 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1584(a,1),46(a,1,1)),flip(a)]. 1586 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1584(a,1),1178(a,1,1))]. 1587 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(857(a,1),1564(a,1,2,1)),flip(a)]. 1588 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(603(a,1),1587(a,1,1))]. 1589 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),730(a,2,1,1,2))]. 1590 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(240,a,411,a(flip),b,1589,a)]. 1591 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),1590(a,1,1,1,2))]. 1592 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(880,a,1591,a)]. 1593 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1442(a,1),1592(a,1,1,1)),flip(a)]. 1594 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [hyper(240,a,857,a(flip),b,1593,a)]. 1595 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1443(a,1),1594(a,1,1,2,1))]. 1596 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),938(a,1,1))]. 1597 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(815,a,944,a),flip(a)]. 1598 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(798,a,944,a)]. 1599 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(604(a,1),1597(a,1,1))]. 1600 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(558,a,1599,a)]. 1601 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(522,a,1599,a)]. 1602 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(386,a,1599,a),flip(a)]. 1603 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(240,a,55,a(flip),b,1599,a)]. 1604 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(81,a,1599,a)]. 1605 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(75,a,92,a(flip),b,1599,a)]. 1606 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(75,a,63,a(flip),b,1599,a),flip(a)]. 1607 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(73,a,92,a(flip),b,1599,a)]. 1608 ((x * y) * z) * L(z,y,x) = (x * (y * z)) * z. [para(106(a,1),1599(a,1,1)),flip(a)]. 1609 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1599(a,1),269(a,1,1))]. 1610 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(401,a,xx,b,1602,a)]. 1611 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(90,a,1606,a)]. 1612 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1606(a,1),108(a,2,1))]. 1613 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(1606(a,1),651(a,1,2))]. 1614 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1600(a,1),302(a,1))]. 1615 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1601(a,1),298(a,1,2)),flip(b)]. 1616 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(142(a,1),1601(a,1,1,1)),flip(a)]. 1618 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1604(a,1),966(a,1,1)),flip(a)]. 1619 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(106(a,1),1605(a,1,1)),flip(a)]. 1620 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1607(a,1),298(a,1,2)),flip(b)]. 1621 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1610(a,1),194(a,1,1))]. 1622 ((x * y) * z) \ ((x * (y * z)) * z) != u | L(z,y,x) = u. [para(1608(a,1),241(a,1,2)),flip(b)]. 1623 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1618(a,1),607(a,1,2))]. 1624 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(81,a,1619,a),flip(a)]. 1625 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1619(a,1),183(a,2)),flip(a)]. 1627 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(171(a,1),1603(a,1,1,2))]. 1628 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(240,a,171,a(flip),b,1627,a)]. 1629 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1627(a,1),26(a,2,1)),flip(a)]. 1631 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1628(a,1),265(a,1,1))]. 1632 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(11(a,1),1620(a,1,1))]. 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(805,a,945,a)]. 1634 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(896,a,964,a)]. 1635 ((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(118(a,1),964(a,1,2))]. 1636 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(827,a,1032,a)]. 1637 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1341(a,1),1636(a,1,1))]. 1638 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(90,a,1637,a)]. 1639 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(177(a,1),1637(a,1,1,2)),flip(a)]. 1640 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1637(a,1),299(a,1,1)),flip(b)]. 1641 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(65(a,1),1638(a,1,1,2,2)),flip(a)]. 1642 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1638(a,1),923(a,1,3)),flip(a)]. 1643 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1639(a,1),998(a,1,2,1)),flip(a)]. 1644 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(240,a,1354,a(flip),b,1641,a(flip))]. 1645 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). [para(1426(a,2),1641(a,1,2,1))]. 1646 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1644(a,1),16(a,1,1))]. 1647 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1083(a,1),390(a,1))]. 1648 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(62(a,1),1142(a,1,1,2,1))]. 1650 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),1143(a,1,2)),flip(a)]. 1651 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1650(a,2,1,1))]. 1652 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(81,a,1184,a)]. 1653 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),1185(a,2,2,1,2))]. 1654 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(81,a,1186,a)]. 1655 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1187(a,2,1,1,1))]. 1656 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(240,a,611,a(flip),b,1655,a)]. 1657 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(611(a,1),1656(a,1,1))]. 1658 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(90,a,1657,a),flip(a)]. 1659 (((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),1658(a,1,1)),flip(a)]. 1660 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(73,a,1037,a(flip),b,1194,a(flip))]. 1661 (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(106(a,1),1194(a,1,1))]. 1662 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1660(a,2),1646(a,1,1)),flip(a)]. 1663 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(81,a,1198,a)]. 1664 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1248(a,1),1294(a,1,2))]. 1665 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),1338(a,1,1,1)),flip(a)]. 1666 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1665(a,1),1053(a,1,2)),flip(a)]. 1667 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1440(a,2),1434(a,1,1))]. 1668 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(194(a,1),1586(a,1,2))]. 1669 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(240,a,1393,a(flip),b,1668,a)]. 1670 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(603(a,1),1598(a,2,1))]. 1671 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(611(a,1),1633(a,2,1))]. 1672 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(806(a,1),1634(a,2,1))]. 1673 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1652(a,1,2,2,1,2)),flip(a)]. 1674 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(14(a,1),1652(a,1,2,2,1,2)),flip(a)]. 1675 (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),1673(a,1,1)),flip(a)]. 1676 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1654(a,1,2,2,1,2)),flip(a)]. 1677 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1663(a,1,2,2,1))]. 1678 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(427,a,1677,a)]. 1679 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1677(a,1),427(a,1))]. 1680 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(240,a,1660,a,b,1678,a),flip(a)]. 1681 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(240,a,1345,a(flip),b,1678,a)]. 1682 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1101(a,1),1678(a,1,2)),flip(a)]. 1683 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1611(a,1),1678(a,1,2)),flip(a)]. 1684 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1680(a,1),14(a,1,2))]. 1685 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),1684(a,1,2,2,1)),flip(a)]. 1686 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(116(a,2),1685(a,1,2))]. 1687 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1686(a,2,2,2))]. 1688 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(1087(a,1),1682(a,1,2,1))]. 1689 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(240,a,941,a(flip),b,1670,a(flip)),flip(a)]. 1690 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(240,a,833,a(flip),b,1670,a(flip))]. 1691 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(182,a,1670,a(flip),b,941,a(flip)),flip(a)]. 1692 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1670(a,1,2,1,2))]. 1694 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1691(a,1,2,1,2)),flip(a)]. 1695 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(73,a,1694,a,b,xx)]. 1696 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(153(a,1),1694(a,2,2,1,2))]. 1697 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1696,a)]. 1698 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1697,a)]. 1699 T(x,x * ((y * x) \ y)) = x. [para(171(a,1),1697(a,1,2,2))]. 1700 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(352(a,1),1697(a,1,2,2))]. 1701 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(605(a,1),1697(a,1,2))]. 1702 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1069(a,1),1697(a,1,2))]. 1703 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1651(a,1),1697(a,1,2))]. 1704 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1699(a,1),594(a,1,1,2))]. 1705 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(917(a,1),1699(a,1,2,2,1))]. 1706 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1703(a,1),416(a,1,1,2)),flip(a)]. 1707 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1701(a,1),742(a,1,1))]. 1708 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1695(a,1,2,1,2,1)),flip(a)]. 1709 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,1705,a)]. 1710 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1229(a,1),1708(a,1,1)),flip(a)]. 1711 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(240,a,1231,a(flip),b,1710,a(flip))]. 1712 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(240,a,941,a(flip),b,1692,a(flip)),flip(a)]. 1713 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(240,a,940,a(flip),b,1692,a(flip)),flip(a)]. 1715 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(75,a,1653,a(flip),b,1712,a(flip)),flip(a)]. 1716 (((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),1715(a,1,1)),flip(a)]. 1717 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(240,a,938,a(flip),b,1671,a(flip)),flip(a)]. 1718 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(182,a,1671,a(flip),b,1186,a),flip(a)]. 1719 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(182,a,1671,a(flip),b,938,a(flip)),flip(a)]. 1720 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(73,a,1671,a(flip),b,1186,a),flip(a)]. 1721 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1671(a,1,2,1,2))]. 1722 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1671(a,1,2,1)),flip(a)]. 1725 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(685(a,1),1671(a,1,2,1)),flip(a)]. 1726 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1722(a,1,1,2,1))]. 1727 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(522,a,1726,a)]. 1728 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(386,a,1726,a),flip(a)]. 1729 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(81,a,1726,a)]. 1730 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(75,a,92,a(flip),b,1726,a)]. 1731 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(90,a,1728,a)]. 1732 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1731(a,1),226(a,1,1)),flip(b)]. 1733 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1727(a,1),298(a,1,2)),flip(b)]. 1735 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1729(a,1),966(a,1,1)),flip(a)]. 1736 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(240,a,850,a(flip),b,1735,a(flip)),flip(a)]. 1737 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1735(a,1),193(a,1,2)),flip(a)]. 1738 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1735(a,1),607(a,1,2))]. 1740 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1719(a,1,2,1,2)),flip(a)]. 1741 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(75,a,1740,a,b,611,a)]. 1742 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(73,a,1740,a,b,xx)]. 1743 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(153(a,1),1740(a,2,2,1,2))]. 1744 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1743,a)]. 1745 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1743(a,1),1227(a,2,2,1))]. 1746 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1744(a,1,2,2,1))]. 1747 T(x,(y / (x * y)) * x) = x. [para(628(a,2),1744(a,1,2))]. 1748 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(614(a,1),1744(a,1,2))]. 1749 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1086(a,1),1744(a,1,2))]. 1750 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1747(a,1),1018(a,1,1,1)),flip(a)]. 1751 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1749(a,1),38(a,1,1)),flip(a)]. 1752 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1746(a,1),594(a,1,1,2))]. 1753 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1748(a,1),742(a,1,1))]. 1754 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1741(a,1,1,1,2,1)),flip(a)]. 1756 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(240,a,938,a(flip),b,1721,a(flip)),flip(a)]. 1758 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(240,a,124,a(flip),b,1736,a)]. 1759 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1758(a,1),14(a,1,2))]. 1760 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(172(a,1),1759(a,1,1,2))]. 1761 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(240,a,11,a(flip),b,1760,a)]. 1762 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(14(a,1),1761(a,1,1,2,2))]. 1763 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1756(a,1,2,2,1,2))]. 1764 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(240,a,1194,a(flip),b,1672,a(flip))]. 1766 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1360(a,1),1764(a,1,1)),flip(a)]. 1767 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(32(a,2),1674(a,1,1))]. 1768 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(16(a,1),1689(a,1,2,2,1,2,2)),flip(a)]. 1769 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(622(a,1),1750(a,1,2))]. 1771 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1768(a,1),254(a,1,2))]. 1772 (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(679(a,1),441(a,1,2,2))]. 1773 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(240,a,24,a,b,465,a),flip(a)]. 1774 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1404(a,1),486(a,1,2,3))]. 1775 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(825(a,1),894(a,1,1))]. 1776 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(42(a,2),1043(a,1,1,1))]. 1777 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(17,a,943,a,b,1476,a(flip)),flip(a)]. 1778 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(199(a,1),1525(a,1,1))]. 1779 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1485(a,1),1778(a,1,1))]. 1780 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1639(a,1),1643(a,1,1)),flip(a)]. 1781 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(402(a,1),1776(a,1,1))]. 1782 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(203(a,1),1781(a,1,2))]. 1783 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1782(a,1),38(a,1,1)),flip(a)]. 1784 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1283(a,1),1783(a,1,1))]. 1785 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1784(a,1,1)),flip(a)]. 1786 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1785(a,2,2))]. 1787 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1786(a,1,1))]. 1788 T(x,x * (y \ 1)) = T(x,y \ x). [para(124(a,1),1787(a,1,2)),flip(a)]. 1789 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1752(a,1),1093(a,1,1))]. 1790 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(799,a,1789,a)]. 1791 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1268(a,1),1126(a,1,2,1))]. 1792 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1791(a,1),14(a,1,2))]. 1793 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(240,a,1323,a(flip),b,1792,a(flip))]. 1794 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1182(a,1,2,1)),flip(a)]. 1797 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(240,a,1672,a(flip),b,1195,a(flip))]. 1798 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w * v5 | w \ (x * (y * ((z * (y \ u)) / z))) = v5. [para(1195(a,2),517(a,1))]. 1799 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),1330(a,1,2,1)),flip(a)]. 1800 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1119(a,1),1799(a,1,2))]. 1801 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(81,a,1800,a)]. 1802 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1700(a,1),1332(a,2,2,2))]. 1803 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1507(a,1),1509(a,2,1))]. 1804 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(81,a,1803,a)]. 1806 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(81,a,1562,a)]. 1807 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1562(a,2,2,1,2,2))]. 1808 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(81,a,1807,a),flip(a)]. 1809 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1678(a,2),1807(a,1,2))]. 1810 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1809(a,1,2,2,1,2)),flip(a)]. 1811 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(182,a,1672,a(flip),b,1810,a(flip))]. 1812 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(240,a,1678,a(flip),b,1811,a),flip(a)]. 1813 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1812(a,2,1,2,1))]. 1814 T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(1812(a,1),1229(a,1,2,1))]. 1815 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(988(a,1),1813(a,1,2,1))]. 1816 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1440(a,2),1815(a,2,1))]. 1817 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(833(a,1),1690(a,1,1))]. 1818 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(75,a,92,a(flip),b,1817,a)]. 1819 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1692(a,1),1713(a,1,2)),flip(a)]. 1820 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1069(a,1),1819(a,1,1)),flip(a)]. 1821 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1718(a,1,1))]. 1822 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1821(a,1,2,1,1))]. 1823 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),1822(a,2,1,2,1))]. 1824 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(621(a,1),1745(a,2,2))]. 1825 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(621(a,1),1824(a,1,1,2))]. 1826 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(172(a,1),1825(a,1,1,2))]. 1827 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(172(a,1),1826(a,2,2))]. 1828 T(x,x * (y / (x * y))) = x. [hyper(35,a,1827,a)]. 1829 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(240,a,1769,a,b,1827,a(flip)),flip(a)]. 1830 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1828(a,1,2,2,2))]. 1831 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1828(a,1,2,2,2))]. 1832 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1830(a,1),272(a,1,1)),flip(a)]. 1833 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1831(a,1),194(a,1,1)),flip(a)]. 1834 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(240,a,124,a(flip),b,1833,a)]. 1835 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1834(a,1),1537(a,2,1,2))]. 1836 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1832(a,1),1537(a,2,1,2))]. 1837 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1721(a,1),1763(a,1,2)),flip(a)]. 1838 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1086(a,1),1837(a,1,1)),flip(a)]. 1839 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(240,a,219,a(flip),b,1802,a)]. 1841 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1839(a,1),1067(a,1,1)),flip(a)]. 1842 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(240,a,1576,a(flip),b,1841,a(flip)),flip(a)]. 1843 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(390,a,1842,a)]. 1844 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1842(a,1,1,2))]. 1845 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1843(a,1,3))]. 1846 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1843(a,1),1673(a,1,2)),flip(a)]. 1847 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1844(a,2,2))]. 1848 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(390,a,1847,a)]. 1849 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1847(a,1),14(a,1,2))]. 1850 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1847(a,1),62(a,1,2))]. 1851 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1848(a,1,3,1))]. 1852 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(16(a,1),1848(a,1,3,1))]. 1853 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1848(a,1),359(a,1,1)),flip(a)]. 1854 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1851(a,1),40(a,2,1))]. 1855 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1851(a,1),1588(a,1,1,2)),flip(a)]. 1856 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1851(a,1),1712(a,2,1,2))]. 1857 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1851(a,1),939(a,1,2,1))]. 1858 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1852(a,1),360(a,1,2))]. 1859 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1854(a,1),451(a,1,2))]. 1860 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(171(a,2),1849(a,1,1,1)),flip(a)]. 1861 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1850(a,1),1127(a,2,1,1,2)),flip(a)]. 1862 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1257(a,2),1858(a,1,1))]. 1863 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(568,a,1860,a)]. 1864 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(240,a,171,a(flip),b,1845,a(flip)),flip(a)]. 1865 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1440(a,2),1855(a,2,1))]. 1866 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1865(a,1),1856(a,1,2))]. 1867 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(17,a,12,a(flip),b,1866,a)]. 1868 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1440(a,2),1866(a,2,1))]. 1869 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(1516,a,1867,a)]. 1870 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1867(a,1),501(a,1,1))]. 1872 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1868(a,1,2,2)),flip(a)]. 1873 x \ (K(x,x \ 1) * y) != z | K(x,x \ 1) * (x \ y) = z. [para(1868(a,1),241(a,1,2)),flip(b)]. 1874 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1443(a,1),1868(a,1,2,1))]. 1875 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1872(a,1),19(a,1)),flip(a)]. 1876 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1859(a,1),599(a,1,2))]. 1877 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(240,a,1440,a,b,1846,a)]. 1878 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1877(a,1),14(a,1,2)),flip(a)]. 1879 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(240,a,1486,a,b,1857,a(flip)),flip(a)]. 1880 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1806(a,1,2,2,1,2,2)),flip(a)]. 1881 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1835(a,2,1))]. 1882 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(240,a,59,a(flip),b,1881,a)]. 1884 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1443(a,1),1874(a,2,1))]. 1885 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(81,a,1884,a)]. 1886 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(240,a,1477,a,b,1885,a(flip)),flip(a)]. 1887 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(240,a,1409,a(flip),b,921,a(flip)),flip(a)]. 1889 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1887(a,1),658(a,1,1))]. 1890 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(799,a,1889,a),flip(a)]. 1891 L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). [para(983(a,1),1890(a,1,1)),flip(a)]. 1892 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(958(a,1),1211(a,1,2))]. 1893 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(32(a,2),1892(a,1,2,1,1))]. 1894 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(696,a,1893,a),flip(a)]. 1895 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(1213,a,611,a(flip)),flip(a)]. 1896 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(611(a,2),1895(a,2,2))]. 1897 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(15(a,1),1896(a,2,2,1,1))]. 1898 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [hyper(233,a,1897,a)]. 1899 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(254,a,1242,a),flip(a)]. 1900 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(240,a,445,a(flip),b,1270,a)]. 1901 T(x,x * (y * T(y \ 1,x))) = x. [para(1900(a,1),217(a,1,2))]. 1902 T(x,x * K(y,x)) = x. [para(1135(a,2),1901(a,1,2,2))]. 1903 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1323(a,1),1901(a,1,2,2))]. 1904 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1902,a)]. 1905 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1381(a,1),1903(a,1,2,2,2,2))]. 1906 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1905(a,1,2,2,2))]. 1907 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1906(a,1),38(a,1,1)),flip(a)]. 1908 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(1016,a,1907,a)]. 1909 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1908(a,1),62(a,1,2))]. 1910 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1639(a,1),1908(a,1,1,2,1))]. 1911 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1260,a,1909,a)]. 1912 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1909(a,2),651(a,1,2))]. 1913 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1911(a,1),411(a,1,1)),flip(a)]. 1914 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1879(a,1),1558(a,1,1))]. 1915 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(240,a,1639,a(flip),b,1910,a)]. 1916 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(240,a,1817,a(flip),b,1914,a(flip)),flip(a)]. 1917 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(1914(a,1),20(a,1))]. 1918 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(198(a,2),1916(a,1,1))]. 1919 (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(1301(a,1),601(a,1,1))]. 1920 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(631(a,1),773(a,1))]. 1921 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(122(a,1),843(a,1,2,1,1)),flip(a)]. 1922 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(182,a,1721,a(flip),b,1921,a),flip(a)]. 1923 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(1702(a,1),1922(a,1,2,1,1)),flip(a)]. 1924 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(16(a,1),963(a,1,1,2,2)),flip(a)]. 1925 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1440(a,2),1924(a,1,1,1))]. 1926 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(844(a,1),1208(a,1,2))]. 1927 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1926(a,1,2,1)),flip(a)]. 1928 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(420(a,1),1346(a,1,1)),flip(a)]. 1929 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(901(a,1),1524(a,2,1))]. 1930 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(17,a,264,a,b,1929,a)]. 1931 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1530(a,1,2,1,1)),flip(a)]. 1932 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(839(a,1),1931(a,1,2))]. 1933 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1549,a,1932,a),flip(a)]. 1934 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1933(a,1,2,1,2)),flip(a)]. 1935 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(15(a,1),1934(a,1,1,2,1,2)),flip(a)]. 1936 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(177(a,1),1934(a,1,1,2,1,2)),flip(a)]. 1937 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(153(a,1),1936(a,1,2,1,2))]. 1938 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1121,a,1937,a),flip(a)]. 1939 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(231,a,1937,a),flip(a)]. 1940 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(81,a,1937,a)]. 1941 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(240,a,1275,a(flip),b,1937,a(flip)),flip(a)]. 1943 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1938(a,1),122(a,1,2)),flip(a)]. 1944 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(209(a,1),1938(a,2,1,2))]. 1945 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(901(a,1),1938(a,1,1))]. 1946 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1137(a,2),1938(a,1,1)),flip(a)]. 1947 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(1304(a,2),1944(a,1,2))]. 1948 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1464(a,1),1945(a,2,1,2,2))]. 1949 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(123(a,1),1946(a,1,1,2,2)),flip(a)]. 1951 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1400(a,1),1940(a,1,2,1,2)),flip(a)]. 1953 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(285(a,1),1941(a,2,1))]. 1954 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(240,a,1862,a,b,1953,a(flip)),flip(a)]. 1955 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(1132,a,1954,a)]. 1956 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1955(a,1),1274(a,1,1))]. 1958 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(240,a,1945,a,b,1948,a)]. 1959 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1958(a,1),701(a,1,1)),flip(a)]. 1960 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1951(a,2,2,1))]. 1962 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(153(a,1),1960(a,2,2))]. 1963 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(35,a,1962,a)]. 1965 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(36,a,1963,a)]. 1966 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(240,a,701,a(flip),b,1959,a)]. 1967 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),1966(a,2,1))]. 1968 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),1967(a,1,1))]. 1969 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(182,a,1670,a(flip),b,1563,a(flip)),flip(a)]. 1970 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1563(a,1,2,1,2)),flip(a)]. 1971 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(182,a,1692,a(flip),b,1970,a),flip(a)]. 1972 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(81,a,1971,a)]. 1973 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(240,a,354,a(flip),b,1971,a(flip))]. 1974 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(352(a,1),1972(a,1,2,1,2))]. 1975 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(917(a,1),1973(a,2,2,1))]. 1976 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(614(a,1),1720(a,2,2,1))]. 1977 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1360(a,1),1766(a,1,2)),flip(a)]. 1978 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(90,a,1977,a)]. 1979 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1978(a,1),823(a,1,1))]. 1980 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(560,a,1979,a),flip(a)]. 1981 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1980(a,1),658(a,1,1))]. 1982 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(387,a,1981,a),flip(a)]. 1983 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(240,a,26,a,b,1982,a),flip(a)]. 1984 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1983(a,2,1,2)),flip(a)]. 1985 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1984(a,1),68(a,1,1,1))]. 1986 T(1 / x,K(y,x)) = 1 / x. [para(1985(a,1),176(a,1,1))]. 1988 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1985(a,1),794(a,1,1,1))]. 1989 K(1 / x,K(y,x)) = 1. [hyper(36,a,1986,a)]. 1991 K(x,K(y,x \ 1)) = 1. [para(62(a,1),1989(a,1,1))]. 1992 T(x,K(y,x \ 1)) = x. [hyper(37,a,1991,a)]. 1993 T(T(x,y),K(z,x \ 1)) = T(x,y). [para(1992(a,1),38(a,1,1)),flip(a)]. 1994 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(1992(a,1),192(a,1,2,1)),flip(a)]. 1995 T(x,K(x,1 / x)) = x. [para(1437(a,2),1992(a,1,2))]. 1996 T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). [para(1995(a,1),191(a,1,2,1)),flip(a)]. 1997 T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). [hyper(35,a,1993,a)]. 1998 T(T(x,y),z \ T(z,x \ 1)) = T(x,y). [para(1123(a,1),1993(a,1,2))]. 1999 T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). [para(1520(a,1),1998(a,1,2))]. 2000 K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). [hyper(240,a,992,a(flip),b,1996,a(flip))]. 2001 K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1437(a,1),2000(a,1,1))]. 2002 K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). [hyper(17,a,1868,a,b,2001,a(flip)),flip(a)]. 2004 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(254,a,1988,a)]. 2005 T(K(x,y),z / (y * z)) = K(x,y). [para(172(a,1),2004(a,1,2))]. 2006 T(K(x,y),y \ 1) = K(x,y). [para(361(a,1),2004(a,1,2))]. 2007 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,2006,a)]. 2008 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2007(a,1),1937(a,1,1)),flip(a)]. 2010 (x / (y * x)) * K(z,y) != u | K(z,y) * (x / (y * x)) = u. [para(2005(a,1),231(a,1,2))]. 2011 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(240,a,1454,a(flip),b,1994,a(flip))]. 2012 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(1994(a,1),19(a,1)),flip(a)]. 2013 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,1868,a,b,2011,a(flip)),flip(a)]. 2015 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(240,a,1511,a(flip),b,2013,a)]. 2016 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1672(a,1),1797(a,1,2)),flip(a)]. 2017 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1678(a,2),2016(a,1,1))]. 2018 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(179(a,1),1836(a,2,1))]. 2019 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(240,a,59,a(flip),b,2018,a)]. 2021 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2019(a,1),1067(a,1,1)),flip(a)]. 2022 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(240,a,1571,a(flip),b,2021,a(flip)),flip(a)]. 2023 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(65(a,1),2022(a,1,1,2,1))]. 2024 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(65(a,1),2023(a,2,2,1))]. 2025 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2024(a,1),14(a,1,2))]. 2027 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2024(a,1),1882(a,1,1))]. 2028 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2027(a,1,1,2))]. 2029 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(75,a,15,a(flip),b,2025,a),flip(a)]. 2030 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2028(a,1,2,2))]. 2031 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2030,a)]. 2032 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1647,a,2031,a)]. 2033 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(14(a,1),2032(a,1,3,2))]. 2034 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(172(a,2),2032(a,1,3))]. 2035 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2032(a,1),355(a,1,2))]. 2036 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(2033(a,1),355(a,1,2))]. 2037 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2034(a,1),360(a,1,2))]. 2038 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1103,a,2037,a)]. 2039 T(1 / (1 / (x / y)),y / x) = x / y. [para(363(a,1),2038(a,1,2))]. 2040 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(2038(a,1),1431(a,1,1)),flip(a)]. 2041 T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). [para(2040(a,1),38(a,1,1)),flip(a)]. 2042 T(x,y / (x * y)) = T(x,x \ 1). [para(172(a,1),2040(a,1,2))]. 2043 T(x,(x \ y) / y) = T(x,x \ 1). [para(362(a,1),2040(a,1,2))]. 2044 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(240,a,123,a(flip),b,2042,a)]. 2045 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2042(a,1),1542(a,2,1))]. 2046 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(2043(a,1),122(a,1,2))]. 2047 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2044(a,1,2,2))]. 2048 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(2039(a,1),177(a,1,1,2))]. 2050 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(2047(a,1),122(a,1,2))]. 2051 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2047(a,1),413(a,1,1))]. 2052 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2029(a,1,1)),flip(a)]. 2053 (x * (y / (x * y))) \ x = 1 / (y / (x * y)). [para(2052(a,1),65(a,1,1))]. 2054 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2052(a,1),1128(a,1,1,2))]. 2055 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1212,a,2051,a)]. 2056 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(240,a,648,a(flip),b,2054,a(flip))]. 2058 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2056(a,1),16(a,1,1))]. 2061 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1861(a,1,1,1))]. 2062 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(90,a,2061,a)]. 2064 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(827,a,851,a),flip(a)]. 2065 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2064(a,1,2,1,2,2)),flip(a)]. 2066 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(806(a,1),2064(a,2,1))]. 2067 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(307,a,2065,a),flip(a)]. 2068 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2065(a,1),307(a,1))]. 2069 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(240,a,1196,a(flip),b,2067,a(flip)),flip(a)]. 2070 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(240,a,1037,a(flip),b,2067,a(flip))]. 2071 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(489(a,2),2069(a,2,1,2,1)),flip(a)]. 2072 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1672(a,1),2069(a,1,2)),flip(a)]. 2073 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1037(a,1),2068(a,1))]. 2075 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(307,a,2066,a),flip(a)]. 2076 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(240,a,1196,a(flip),b,2066,a(flip)),flip(a)]. 2077 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(240,a,1194,a(flip),b,2066,a(flip))]. 2078 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(182,a,2066,a(flip),b,1562,a),flip(a)]. 2080 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),2076(a,1,2,2,1)),flip(a)]. 2081 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(108(a,2),2080(a,2,2,2,1))]. 2082 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2078(a,1,1))]. 2083 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2082(a,1,2,1,2,1))]. 2084 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(240,a,862,a(flip),b,954,a(flip))]. 2085 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2084(a,1),828(a,1,2))]. 2087 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(240,a,1922,a(flip),b,995,a(flip)),flip(a)]. 2088 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1418(a,1),2087(a,1,1,2)),flip(a)]. 2089 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(18,a,1939,a(flip),b,2088,a)]. 2090 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2089(a,1),124(a,1,1))]. 2091 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(2089(a,2),1965(a,1,2))]. 2092 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(240,a,1962,a(flip),b,2090,a(flip))]. 2094 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(1057(a,1),2092(a,1,1))]. 2095 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(65(a,1),2094(a,1,2))]. 2096 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2095(a,1),62(a,1,2))]. 2097 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1119(a,2),2095(a,1,1))]. 2098 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(240,a,445,a(flip),b,1271,a)]. 2099 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(917(a,1),2098(a,2,2))]. 2100 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(240,a,1344,a,b,2099,a(flip)),flip(a)]. 2101 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2099(a,1),1342(a,1,1)),flip(a)]. 2102 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2099(a,1),2100(a,1,1,2))]. 2103 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(13(a,1),2102(a,1,1))]. 2105 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(690(a,1),1547(a,1,1)),flip(a)]. 2106 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(240,a,1303,a(flip),b,1629,a(flip)),flip(a)]. 2107 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1267(a,1),1912(a,1,1))]. 2108 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1019(a,1),2107(a,1,1))]. 2109 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1909(a,1),2108(a,1,2))]. 2110 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(240,a,40,a,b,2109,a(flip)),flip(a)]. 2111 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1906(a,1),2110(a,1,1))]. 2112 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(240,a,1019,a,b,2111,a(flip)),flip(a)]. 2113 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2111(a,1),1927(a,1,2))]. 2114 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(240,a,1913,a(flip),b,2112,a(flip))]. 2115 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(740(a,1),2106(a,1,2)),flip(a)]. 2116 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2115(a,2),1502(a,1,2))]. 2117 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1440(a,2),1453(a,2,1,1,2))]. 2118 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1535(a,1,1,2,2,1,2)),flip(a)]. 2119 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(58(a,1),1543(a,1,1)),flip(a)]. 2120 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(122(a,1),2119(a,1,1))]. 2122 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2120(a,1,1,1)),flip(a)]. 2123 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2120(a,1),20(a,1))]. 2124 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(62(a,1),2120(a,1,2)),flip(a)]. 2125 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2122(a,2),20(a,1))]. 2126 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(62(a,1),2124(a,1,1,2)),flip(a)]. 2127 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(903(a,1),2126(a,1,1)),flip(a)]. 2128 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(930(a,1),2127(a,1,1)),flip(a)]. 2129 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(124(a,1),2128(a,1,1,2)),flip(a)]. 2130 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(387,a,2129,a),flip(a)]. 2131 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(13(a,1),2130(a,1,1,2)),flip(a)]. 2132 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(2131(a,1),14(a,1,2))]. 2133 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),2132(a,1,2,1)),flip(a)]. 2134 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(99(a,1),2132(a,1,2,1)),flip(a)]. 2135 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2132(a,1),423(a,1,2))]. 2136 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2133(a,1),122(a,1,2)),flip(a)]. 2137 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(75,a,199,a(flip),b,2136,a)]. 2138 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(1122(a,2),1709(a,2,2,1))]. 2139 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(32(a,2),1767(a,1,2,1,1)),flip(a)]. 2140 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(941(a,1),2139(a,1,2))]. 2141 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1771,a,2140,a),flip(a)]. 2142 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(13(a,1),2141(a,1,2,1,2)),flip(a)]. 2143 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1069(a,1),1820(a,1,2,1)),flip(a)]. 2144 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(73,a,56,a(flip),b,2143,a),flip(a)]. 2145 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2144(a,1),19(a,1))]. 2146 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1086(a,1),1838(a,1,2,1)),flip(a)]. 2147 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(73,a,56,a(flip),b,2146,a),flip(a)]. 2148 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2007(a,1),2008(a,2,2,1,1))]. 2149 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(240,a,901,a(flip),b,2148,a)]. 2151 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(901(a,1),2149(a,1,1))]. 2152 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(35,a,2151,a)]. 2153 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2151(a,1),701(a,1,1)),flip(a)]. 2154 K(K(x,y),y \ T(y,z)) = 1. [hyper(36,a,2152,a)]. 2155 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1639(a,1),2154(a,1,2,2))]. 2156 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(32(a,2),2155(a,1,2))]. 2157 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(240,a,700,a,b,2153,a)]. 2158 T(K(x,y),K(z,x)) = K(x,y). [para(26(a,2),2157(a,1,1))]. 2159 T(K(x,y),K(y,z)) = K(x,y). [hyper(35,a,2158,a)]. 2160 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2158(a,1),122(a,1,2)),flip(a)]. 2161 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2158(a,1),231(a,1,2))]. 2162 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2158(a,1),193(a,1,2,1)),flip(a)]. 2163 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2158(a,1),384(a,1,2,1))]. 2164 K(K(x,y),K(y,z)) = 1. [hyper(36,a,2159,a)]. 2165 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2159(a,1),231(a,1,2))]. 2166 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2159(a,1),192(a,1,2,1)),flip(a)]. 2167 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2159(a,1),193(a,1,2,1)),flip(a)]. 2168 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2159(a,1),383(a,1,2,1))]. 2171 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1505(a,1),2015(a,1,1))]. 2172 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(948(a,1),2171(a,1,2))]. 2173 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(240,a,1918,a(flip),b,2172,a(flip)),flip(a)]. 2174 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(240,a,1863,a(flip),b,2173,a)]. 2175 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(1917,a,2174,a)]. 2176 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(240,a,171,a(flip),b,2175,a),flip(a)]. 2177 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(171(a,1),2176(a,2,2,2)),flip(a)]. 2178 T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). [hyper(516,a,2177,a)]. 2179 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(240,a,12,a,b,2177,a)]. 2180 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(81,a,2177,a)]. 2181 L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 1). [para(2177(a,1),171(a,2,1))]. 2182 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2180(a,1),235(a,1,1))]. 2183 (x \ 1) * (x * ((y * x) \ y)) != z * u | z \ ((y * x) \ y) = u. [para(2180(a,1),376(a,1,2))]. 2184 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(203(a,1),2182(a,2,1))]. 2185 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2075(a,2,2,1,2,1))]. 2186 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(90,a,2185,a)]. 2187 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2186(a,1,1,2,1,2,2)),flip(a)]. 2188 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2099(a,1),2101(a,1,2,1)),flip(a)]. 2189 (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). [hyper(240,a,411,a(flip),b,2117,a)]. 2190 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(240,a,1550,a(flip),b,2189,a(flip))]. 2191 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(908(a,1),2190(a,2,2))]. 2192 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(240,a,1225,a(flip),b,2191,a)]. 2193 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(695,a,2192,a),flip(a)]. 2194 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(931,a,2193,a),flip(a)]. 2195 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(124(a,1),2193(a,2,1))]. 2196 T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. [para(2195(a,2),20(a,1))]. 2197 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(428(a,1),2194(a,1,1,1)),flip(a)]. 2198 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(428(a,1),2197(a,1,1)),flip(a)]. 2199 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2198(a,2),1240(a,1,2))]. 2200 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(231,a,2199,a)]. 2201 L(x,y,K(x \ 1,x)) = x. [hyper(438,a,2200,a)]. 2202 K(x \ 1,x) * y != (K(x \ 1,x) * z) * x | z * x = y. [para(2200(a,2),19(a,1)),flip(a)]. 2203 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2201(a,1),40(a,2,1))]. 2204 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(240,a,1899,a(flip),b,2203,a(flip)),flip(a)]. 2206 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(240,a,477,a(flip),b,686,a)]. 2207 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(845,a,2206,a)]. 2208 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [hyper(544,a,2207,a),flip(a)]. 2209 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(845,a,1331,a),flip(a)]. 2210 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(690(a,1),2209(a,2,2))]. 2211 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(438,a,2210,a)]. 2212 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(240,a,1119,a(flip),b,2211,a),flip(a)]. 2213 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(59(a,1),2211(a,2,1,2))]. 2215 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(285(a,1),2211(a,1,1)),flip(a)]. 2216 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(901(a,1),2211(a,1,1))]. 2217 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1610(a,2),2215(a,1,1))]. 2218 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2201(a,1),2217(a,1,1,1,2)),flip(a)]. 2219 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(124(a,1),2218(a,2,1))]. 2220 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2219(a,1),106(a,1,2))]. 2221 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),2216(a,2,1,2))]. 2223 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(182,a,2220,a,b,xx)]. 2225 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). [hyper(240,a,1428,a(flip),b,1521,a)]. 2226 T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). [para(1999(a,1),2225(a,1,2))]. 2228 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1363(a,1),1540(a,2,1))]. 2229 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1385(a,1),2228(a,2,1,1))]. 2230 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(240,a,30,a,b,2229,a),flip(a)]. 2231 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2229(a,2),483(a,1))]. 2232 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(240,a,1119,a(flip),b,2230,a),flip(a)]. 2233 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),2230(a,2,1,2))]. 2234 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(1090(a,1),2230(a,2,1,2))]. 2236 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(231,a,2232,a),flip(a)]. 2238 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2233(a,1),118(a,1,1))]. 2239 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(240,a,1706,a(flip),b,1613,a(flip)),flip(a)]. 2241 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2239(a,1),806(a,1,1)),flip(a)]. 2242 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(240,a,603,a(flip),b,2241,a)]. 2243 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(240,a,1683,a(flip),b,2242,a(flip))]. 2244 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1631,a,2179,a(flip))]. 2245 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(73,a,2244,a(flip),b,2115,a(flip)),flip(a)]. 2246 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2244(a,1),2116(a,1,2))]. 2247 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(240,a,123,a,b,2245,a)]. 2248 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(75,a,2245,a(flip),b,2061,a),flip(a)]. 2249 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2245(a,1,2,1))]. 2250 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(171(a,2),2245(a,1,2))]. 2251 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(98(a,1),2247(a,1,2,1))]. 2252 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(171(a,2),2247(a,1,2))]. 2253 T(x,(y * x) \ y) != z | (x \ 1) \ 1 = z. [para(2247(a,2),396(a,1))]. 2254 T(1 / (1 / x),(y * x) \ y) = x. [hyper(162,a,2246,a)]. 2256 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2254(a,1),177(a,1,1,2))]. 2257 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(240,a,1439,a(flip),b,2248,a)]. 2258 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2248(a,2),1461(a,1))]. 2260 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2257(a,1,2,1)),flip(a)]. 2261 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2257(a,1,2,1))]. 2263 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1025(a,2),2257(a,1,2,1))]. 2264 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(240,a,649,a,b,2261,a(flip)),flip(a)]. 2265 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),2249(a,1,2))]. 2266 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2249(a,1),122(a,1,2))]. 2267 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2249(a,1),231(a,1,2))]. 2268 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2249(a,1),1324(a,1,2)),flip(a)]. 2269 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(14(a,1),2253(a,1,2,1))]. 2270 K(T(x,y),(x * y) \ y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(122(a,1),2258(a,1,2,1))]. 2271 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1444,a,2260,a)]. 2272 L(x,(y * x) \ y,x) = 1 / (1 / x). [hyper(240,a,1704,a(flip),b,2256,a(flip)),flip(a)]. 2274 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),2272(a,1,2,1))]. 2275 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),2274(a,1,2))]. 2276 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2274(a,1),1878(a,1,2)),flip(a)]. 2277 ((x * y) \ x) * (x \ (x * y)) = y * ((((x * y) \ x) \ 1) \ 1). [para(13(a,1),2266(a,1,1)),flip(a)]. 2278 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2251(a,1,2)),flip(a)]. 2279 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(396,a,2278,a),flip(a)]. 2280 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(240,a,2159,a(flip),b,2279,a(flip))]. 2283 1 / (1 / K(x,y)) = K(x,y). [para(2280(a,1),144(a,1,2,2))]. 2284 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2260(a,1),2276(a,1,2))]. 2285 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(517,a,2284,a)]. 2286 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2264(a,1),2284(a,1,2))]. 2287 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2285(a,1),434(a,1,1,2))]. 2289 (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(142(a,1),2286(a,1,1)),flip(a)]. 2291 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [hyper(240,a,1853,a(flip),b,2275,a(flip)),flip(a)]. 2293 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(14(a,1),2291(a,2,2,2,1))]. 2294 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),2291(a,1,1))]. 2295 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(2291(a,2),65(a,1,1))]. 2296 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(171(a,2),2291(a,2,2,2)),flip(a)]. 2297 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(2296(a,1),149(a,1,1,1))]. 2298 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2296(a,1),1471(a,2,2))]. 2299 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(209(a,1),2297(a,1,1,1,1)),flip(a)]. 2300 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1). [para(2293(a,1),1304(a,1,2,1)),flip(a)]. 2301 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1268(a,1),2263(a,1,2))]. 2302 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(240,a,2260,a(flip),b,2301,a)]. 2303 x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * x. [para(13(a,1),2277(a,1,2)),flip(a)]. 2304 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(13(a,1),2287(a,1,1,2,2,2))]. 2305 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(1468(a,1),2304(a,1,1))]. 2306 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1410(a,1),2299(a,1,1))]. 2307 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (y \ x)). [para(65(a,1),2300(a,2,2))]. 2309 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),952(a,1,2,1,1))]. 2310 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(1585(a,1),1106(a,1,1))]. 2311 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),1131(a,1,1))]. 2312 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(198(a,2),1596(a,1,2,1,1))]. 2313 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2212(a,1),1947(a,1,1))]. 2314 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(285(a,1),2313(a,1,1,1))]. 2315 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1304(a,1),2314(a,1,2))]. 2316 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(240,a,40,a,b,2315,a(flip)),flip(a)]. 2317 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1307(a,1),2316(a,2,1))]. 2318 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),1976(a,1,1))]. 2319 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(99(a,1),2318(a,1,2,1,1))]. 2320 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(240,a,1689,a(flip),b,2309,a)]. 2321 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(240,a,1717,a(flip),b,2312,a)]. 2322 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(947(a,1),2320(a,2,1))]. 2323 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(955(a,1),2321(a,2,1))]. 2324 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(240,a,479,a(flip),b,788,a)]. 2325 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1213,a,2324,a)]. 2326 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1402(a,1),2325(a,2,1,1))]. 2327 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(240,a,924,a(flip),b,1295,a(flip))]. 2328 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). [para(2041(a,1),1645(a,2,1))]. 2329 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). [hyper(240,a,2226,a(flip),b,2328,a)]. 2331 (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1426(a,1),2329(a,1,2,1))]. 2332 (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(1887(a,1),2331(a,1,2))]. 2333 x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). [hyper(240,a,948,a(flip),b,2332,a(flip)),flip(a)]. 2334 x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1891(a,1),2333(a,1,2))]. 2335 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(916(a,1),1470(a,1,2)),flip(a)]. 2336 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1466(a,1),2335(a,1,2,1,2))]. 2337 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(286(a,1),2336(a,1,2,1)),flip(a)]. 2338 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2337(a,1),28(a,2,1)),flip(a)]. 2339 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2337(a,1),1068(a,1,1))]. 2340 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),1919(a,1,2,1)),flip(a)]. 2342 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(2089(a,1),1930(a,1,2,2)),flip(a)]. 2343 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(73,a,2091,a(flip),b,2342,a(flip)),flip(a)]. 2344 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(240,a,1709,a(flip),b,2138,a(flip))]. 2345 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2097(a,1),2344(a,1,2))]. 2346 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(240,a,1928,a(flip),b,2345,a(flip))]. 2347 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1697(a,1),2221(a,1,1,2)),flip(a)]. 2348 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(53(a,1),2347(a,2,1))]. 2349 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(240,a,332,a(flip),b,2348,a)]. 2352 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2349(a,1),263(a,1,2)),flip(a)]. 2353 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(240,a,12,a(flip),b,2352,a)]. 2354 x / (x * L(x \ 1,y,z)) != u | (x * L(x \ 1,y,z)) \ x = u. [para(2353(a,1),299(a,1,1)),flip(b)]. 2355 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(240,a,1137,a,b,1138,a)]. 2356 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(171(a,1),2355(a,1,2,1))]. 2358 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2356(a,1),387(a,1,1))]. 2359 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2096(a,1),1157(a,1,1,2))]. 2360 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(916(a,1),2359(a,1,1,2)),flip(a)]. 2361 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(919(a,1),2360(a,2,1))]. 2362 T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. [hyper(73,a,2361,a(flip),b,1346,a(flip))]. 2363 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(420(a,1),2361(a,1,1))]. 2364 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(446(a,1),1772(a,1,2)),flip(a)]. 2365 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(240,a,446,a(flip),b,1725,a)]. 2366 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(193(a,1),2365(a,2,2))]. 2367 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1702(a,1),1923(a,2,1))]. 2368 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(240,a,1086,a(flip),b,2367,a)]. 2370 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1086(a,1),2368(a,1,1))]. 2371 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2370,a)]. 2372 (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(106(a,1),1216(a,1,2,1,1))]. 2373 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1213,a,2372,a),flip(a)]. 2374 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(829(a,1),2373(a,2,2))]. 2375 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(438,a,2374,a),flip(a)]. 2376 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(240,a,1073,a(flip),b,2375,a(flip))]. 2377 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1707(a,1),2376(a,1,1,2)),flip(a)]. 2378 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(240,a,2213,a(flip),b,2377,a)]. 2379 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,198,a(flip),b,2378,a)]. 2380 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(65(a,1),2379(a,1,1))]. 2381 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(948(a,1),2380(a,1,2))]. 2382 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2354,a,2381,a)]. 2383 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1651(a,1),2382(a,1,1)),flip(a)]. 2384 T(x * L(x \ 1,y,z),u) \ T(x,u) = L(1 / T(x,u),y,z) \ 1. [para(1971(a,1),2382(a,1,1))]. 2385 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(240,a,2069,a(flip),b,2071,a)]. 2386 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(983(a,1),1774(a,1,1,1))]. 2387 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(198(a,2),2386(a,1,2,2))]. 2388 T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(983(a,1),1814(a,1,2,1,1,2,1))]. 2389 T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2334(a,1),2388(a,1,2,1,1))]. 2390 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(1410(a,1),2234(a,1,1,2,1))]. 2391 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(1751(a,1),2390(a,1,1,2)),flip(a)]. 2393 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(118(a,1),1635(a,1,1,1,2,2)),flip(a)]. 2394 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(240,a,806,a(flip),b,2393,a)]. 2395 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(240,a,2066,a(flip),b,2394,a)]. 2396 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(806(a,1),2395(a,1,1))]. 2397 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1672(a,1),2396(a,2,1))]. 2398 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,118,a,b,2397,a)]. 2399 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1679,a,2398,a),flip(a)]. 2400 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),2398(a,1,2,1)),flip(a)]. 2401 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(240,a,1440,a,b,2400,a)]. 2402 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1087(a,1),2401(a,1,1,2,1))]. 2403 (((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),1659(a,2,2,1,1))]. 2404 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1671(a,1),2403(a,1,1))]. 2405 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1721(a,1),2404(a,1,1,1))]. 2406 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(483,a,2405,a),flip(a)]. 2408 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(240,a,1092,a(flip),b,2406,a(flip))]. 2409 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(627(a,1),2406(a,2,1,2))]. 2410 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1085,a,2409,a),flip(a)]. 2411 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2410(a,1,1,2,1)),flip(a)]. 2412 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1753(a,1),2408(a,1,1,2)),flip(a)]. 2413 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2236,a(flip),b,2412,a)]. 2414 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(106(a,1),1661(a,1,2,1,2,1))]. 2415 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(240,a,1195,a(flip),b,2414,a(flip))]. 2416 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1194(a,1),2415(a,2,2))]. 2417 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(438,a,2416,a),flip(a)]. 2418 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),2417(a,1,2,1)),flip(a)]. 2419 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(240,a,1440,a,b,2418,a)]. 2420 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1683(a,1),2419(a,1,1))]. 2421 (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),1675(a,2,2,1,1))]. 2422 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(940(a,1),2421(a,1,2))]. 2423 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(833(a,1),2422(a,1,2,2))]. 2424 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(449,a,2423,a),flip(a)]. 2426 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(712(a,1),2424(a,2,1,2))]. 2427 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(1612(a,1),2424(a,1,2))]. 2428 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1312(a,1),2426(a,1,2))]. 2429 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(150(a,1),2428(a,2,1,2))]. 2430 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1440(a,2),2429(a,2,1))]. 2431 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),2427(a,1,2,2)),flip(a)]. 2432 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2243(a,1),2431(a,1,1)),flip(a)]. 2433 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(240,a,2420,a(flip),b,2432,a)]. 2434 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1440,a(flip),b,2433,a)]. 2435 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(240,a,2383,a,b,2434,a(flip)),flip(a)]. 2436 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2435(a,1),62(a,1,2)),flip(a)]. 2437 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),2435(a,1,1,1,2)),flip(a)]. 2438 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(62(a,1),2436(a,1,1,2)),flip(a)]. 2439 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(235(a,1),2436(a,2,2,2))]. 2440 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2436(a,1),195(a,1,1))]. 2441 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2437(a,1),65(a,1,1))]. 2442 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2438(a,1),2436(a,1,1)),flip(a)]. 2443 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),2441(a,1,1,1,1)),flip(a)]. 2445 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(454(a,1),2443(a,2,1,1))]. 2446 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(65(a,1),2440(a,2,1))]. 2447 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2446(a,1),38(a,1,1)),flip(a)]. 2448 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2439(a,1),106(a,1,2))]. 2449 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2249(a,2),2445(a,1,1))]. 2450 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(240,a,714,a(flip),b,2449,a(flip)),flip(a)]. 2451 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),2450(a,1,1))]. 2452 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),2451(a,1,2,2))]. 2453 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),2452(a,2,1,1))]. 2454 (((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),1716(a,2,2,1,1))]. 2455 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1670(a,1),2454(a,1,1))]. 2456 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1692(a,1),2455(a,1,1,1))]. 2457 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(483,a,2456,a),flip(a)]. 2458 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(712(a,1),2457(a,2,1,2))]. 2459 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(1104(a,1),2457(a,1,2))]. 2460 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1173(a,1),2458(a,1,2))]. 2461 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(150(a,1),2460(a,2,1,2))]. 2462 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1440(a,2),2461(a,2,1))]. 2463 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),2459(a,1,2,2)),flip(a)]. 2464 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(142(a,1),2289(a,1,2,2,2,2))]. 2466 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(916(a,1),1526(a,2,1))]. 2467 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(13(a,1),2466(a,1,2,1)),flip(a)]. 2468 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(240,a,834,a(flip),b,2467,a)]. 2469 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2062(a,1),2468(a,1,1))]. 2470 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2257(a,1),2469(a,1,1))]. 2471 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(232,a,2470,a)]. 2473 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1519(a,1),2471(a,1,2))]. 2474 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(81,a,2473,a)]. 2476 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(240,a,2298,a,b,2474,a(flip)),flip(a)]. 2478 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2476(a,1),1334(a,1,2)),flip(a)]. 2479 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2250(a,1),2478(a,1,2)),flip(a)]. 2480 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2252(a,1),2478(a,1,2)),flip(a)]. 2483 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(307,a,2479,a),flip(a)]. 2484 (x / ((y \ 1) \ 1)) * y = x / K(y,y \ 1). [hyper(75,a,16,a(flip),b,2479,a),flip(a)]. 2485 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2202,a,2479,a(flip))]. 2486 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2479(a,1),254(a,1,2))]. 2489 x * K(x,x \ 1) = T(x,x \ 1). [hyper(240,a,123,a,b,2485,a)]. 2490 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(81,a,2485,a)]. 2491 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(73,a,2044,a,b,2485,a)]. 2493 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(240,a,1437,a,b,2490,a)]. 2494 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(73,a,2490,a,b,1440,a(flip))]. 2495 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(73,a,2493,a(flip),b,979,a),flip(a)]. 2496 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(307,a,2480,a),flip(a)]. 2499 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [para(2496(a,1),1251(a,1,1))]. 2500 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [hyper(401,a,2496,a(flip),b,2499,a)]. 2502 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(73,a,2480,a,b,2499,a)]. 2503 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1438(a,2),2499(a,2,2))]. 2504 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2502(a,1),966(a,1,1)),flip(a)]. 2505 R(x,K(y,y \ 1),y) = x. [hyper(472,a,2503,a)]. 2506 L(x,K(x,x \ 1),y) = x. [hyper(438,a,2503,a)]. 2507 R(x,K(y \ 1,y),1 / y) = x. [para(1505(a,1),2505(a,1,2))]. 2508 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1505(a,1),2506(a,1,2))]. 2509 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2506(a,1),2436(a,2,2,2))]. 2510 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2507(a,1),1478(a,1,1)),flip(a)]. 2511 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(75,a,16,a(flip),b,2510,a),flip(a)]. 2512 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,1285,a(flip),b,2510,a)]. 2513 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2511(a,1),542(a,1))]. 2514 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1559,a,2512,a)]. 2516 R(x / (1 / y),y \ 1,y) = x * y. [hyper(1096,a,2514,a)]. 2517 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(956,a,2514,a),flip(a)]. 2518 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2514(a,1),16(a,1,1))]. 2519 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [para(2514(a,1),124(a,1,1)),flip(a)]. 2520 (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. [para(2514(a,1),226(a,1,1)),flip(b)]. 2521 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(1472(a,2),2514(a,2,2))]. 2522 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(62(a,1),2517(a,1,2)),flip(a)]. 2524 R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. [para(2518(a,1),390(a,1,1))]. 2525 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2510(a,1),2518(a,1,1)),flip(a)]. 2526 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(240,a,1495,a(flip),b,2509,a(flip)),flip(a)]. 2528 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2526(a,1),293(a,1,2)),flip(a)]. 2529 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(240,a,2286,a(flip),b,2528,a(flip)),flip(a)]. 2530 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(73,a,2528,a(flip),b,2286,a(flip)),flip(a)]. 2531 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),2529(a,1,2,2,2,2)),flip(a)]. 2532 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2530(a,1),65(a,1,1))]. 2534 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2531(a,2,2,2,2))]. 2535 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2531(a,1),65(a,1,1))]. 2536 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(62(a,1),2532(a,1,1,2,2,2)),flip(a)]. 2537 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(144(a,1),2532(a,1,1,2,2)),flip(a)]. 2538 ((x * (1 / (1 / y))) \ x) \ 1 = 1 / ((x * y) \ x). [para(2534(a,1),149(a,1,1,1))]. 2539 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2294(a,2),2534(a,1,2))]. 2540 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),2539(a,2,2,2))]. 2541 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2540(a,1),65(a,1,1)),flip(a)]. 2542 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2540(a,2),648(a,1,1,2))]. 2543 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(240,a,174,a,b,2541,a),flip(a)]. 2544 L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. [para(65(a,1),2541(a,1,2))]. 2545 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(62(a,1),2543(a,1,2)),flip(a)]. 2546 (1 / x) \ ((y * (1 / (1 / x))) \ y) = x * ((y * x) \ y). [hyper(73,a,2544,a(flip),b,834,a)]. 2547 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(123(a,2),2545(a,1,2))]. 2548 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2547(a,1),2306(a,2,1,1))]. 2549 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(240,a,2211,a,b,2542,a(flip)),flip(a)]. 2550 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(65(a,1),2549(a,1,2))]. 2551 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(2284(a,2),2535(a,1,1))]. 2552 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2537(a,1),65(a,1,1))]. 2553 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. [para(62(a,1),2538(a,1,1,1,2,2)),flip(a)]. 2554 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(240,a,2265,a,b,2552,a(flip)),flip(a)]. 2555 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2554(a,2),14(a,1,2))]. 2556 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(65(a,1),2554(a,2,2,2,1))]. 2557 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2554(a,1),122(a,1,2))]. 2558 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(240,a,1064,a,b,2555,a(flip)),flip(a)]. 2559 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2558(a,1,1)),flip(a)]. 2560 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2558(a,1),1556(a,1,1))]. 2561 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2559(a,1),16(a,1,1))]. 2562 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(240,a,2484,a(flip),b,2560,a(flip)),flip(a)]. 2563 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2560(a,1,1)),flip(a)]. 2564 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(639(a,1),2560(a,1,1)),flip(a)]. 2565 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(911(a,1),2560(a,1,1)),flip(a)]. 2566 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(523,a,2562,a)]. 2567 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(308,a,2562,a),flip(a)]. 2568 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(303,a,2562,a)]. 2569 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(89,a,2562,a)]. 2570 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(2562(a,1),226(a,1,1))]. 2572 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2566(a,1),88(a,1,2)),flip(b)]. 2573 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(18,a,2512,a,b,2567,a)]. 2574 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(18,a,2511,a,b,2567,a)]. 2575 x / K(y,y \ 1) != z | x * K(y \ 1,y) = z. [para(2567(a,1),307(a,1))]. 2576 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(2567(a,1),2510(a,1,1)),flip(a)]. 2577 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2569(a,1),20(a,1)),flip(a)]. 2578 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,482,a,b,2563,a)]. 2579 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2563(a,1),2510(a,1,1)),flip(a)]. 2580 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2564(a,1),20(a,1)),flip(a)]. 2581 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2564(a,1),2510(a,1,1)),flip(a)]. 2582 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(307,a,2573,a),flip(a)]. 2583 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,1448,a,b,2573,a)]. 2584 ((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(2573(a,1),475(a,1,1))]. 2585 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(485,a,2583,a),flip(a)]. 2586 R(1 / x,x,1 / x) = x \ 1. [hyper(160,a,2583,a),flip(a)]. 2587 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(2586(a,1),365(a,1,1)),flip(a)]. 2588 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(240,a,402,a(flip),b,2574,a)]. 2589 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(2587(a,1),148(a,1,1))]. 2593 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2047(a,2),2578(a,1,2))]. 2594 (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. [para(2553(a,1),65(a,1,1))]. 2596 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(2050(a,1),2579(a,1,1))]. 2597 (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. [para(62(a,1),2594(a,1,1,1,1,2))]. 2598 ((x * (1 / y)) \ x) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ x). [para(2594(a,1),2303(a,1,2)),flip(a)]. 2599 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1108(a,1),2525(a,2,1))]. 2602 x \ (T(x,y) \ ((x \ 1) \ 1)) != z | x * (T(x,y) \ (1 / x)) = z. [para(2495(a,2),1050(a,1))]. 2603 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(240,a,2195,a(flip),b,2500,a(flip))]. 2604 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2603(a,1),14(a,1,2))]. 2605 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2604(a,1,2,1)),flip(a)]. 2606 R(x,y,K(x,x \ 1)) = x. [hyper(472,a,2605,a)]. 2607 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(438,a,2605,a)]. 2608 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2606(a,1),42(a,2,1))]. 2609 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1505(a,1),2606(a,1,3))]. 2610 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2607(a,1),501(a,1,2))]. 2611 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(240,a,2504,a(flip),b,2608,a(flip))]. 2613 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1443(a,1),2611(a,1,2,2))]. 2614 ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). [para(2609(a,1),118(a,1,1)),flip(a)]. 2615 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2613(a,1),1876(a,1,2,2,2)),flip(a)]. 2616 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(2575,a,2610,a)]. 2617 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2562(a,1),2616(a,2,2))]. 2618 R(x,y,K(x \ 1,x)) = x. [hyper(472,a,2617,a)]. 2619 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2618(a,1),233(a,1,1))]. 2620 L((x * ((y * x) \ y)) \ z,(1 / x) \ ((y * (1 / (1 / x))) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2546(a,1),454(a,1,1,1))]. 2622 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(916(a,1),2550(a,1,1))]. 2623 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(240,a,803,a(flip),b,2622,a(flip))]. 2624 T(K(1 / (1 / x),y),x) = K(x,y). [para(2623(a,2),176(a,1,1))]. 2625 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(209(a,1),2624(a,1,1,1,2))]. 2626 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(62(a,1),2625(a,1,1,1))]. 2627 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(240,a,1968,a(flip),b,2626,a(flip))]. 2628 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(123(a,1),2627(a,1,1)),flip(a)]. 2630 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2548(a,1),1414(a,1,2))]. 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2630(a,1),1949(a,2,1,2))]. 2632 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(65(a,1),2521(a,1,1,2))]. 2633 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2585(a,1),2632(a,1,1))]. 2634 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(1472(a,1),2633(a,2,2))]. 2635 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2634(a,1),2588(a,1,1))]. 2636 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(307,a,2635,a),flip(a)]. 2637 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2635(a,1),2566(a,1,1))]. 2638 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2636(a,1),608(a,1,2,1)),flip(a)]. 2639 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(1483,a,2637,a)]. 2641 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(240,a,2305,a(flip),b,2639,a(flip)),flip(a)]. 2643 K((x * y) \ x,y) = K(y \ 1,y). [para(13(a,1),2641(a,1,2))]. 2644 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(14(a,1),2643(a,1,1,1)),flip(a)]. 2645 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(122(a,1),2643(a,1,1,1)),flip(a)]. 2646 K(L(x \ 1,x,y),x) = K(x \ 1,x). [para(171(a,2),2643(a,1,1))]. 2647 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2644(a,1),2268(a,1,2))]. 2648 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(1265(a,1),2645(a,2,1,1))]. 2649 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(240,a,1440,a,b,2589,a)]. 2650 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) != z | x * (T(x,y) \ (1 / x)) = z. [para(1666(a,2),2602(a,1))]. 2651 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(240,a,648,a(flip),b,2631,a)]. 2653 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(123(a,1),2651(a,2,1))]. 2654 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(171(a,1),2653(a,1,2,1))]. 2656 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2654(a,1),2358(a,1))]. 2657 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2035(a,1),2649(a,1,2))]. 2658 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2657(a,1),14(a,1,2)),flip(a)]. 2659 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(2577,a,2658,a(flip))]. 2660 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2658(a,2),2611(a,1,2)),flip(a)]. 2661 (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(2660(a,1),187(a,1,2,1))]. 2662 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2660(a,1),2311(a,2,2))]. 2663 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2010,a,2659,a)]. 2664 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2058,a,b,2663,a),flip(a)]. 2665 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2664(a,1,1,2)),flip(a)]. 2667 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2665(a,2,1))]. 2668 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (1 / y)). [hyper(2524,a,1169,a),flip(a)]. 2669 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(240,a,2025,a(flip),b,2596,a)]. 2671 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(75,a,62,a(flip),b,2669,a),flip(a)]. 2672 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(62(a,1),2671(a,1,2)),flip(a)]. 2673 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2672(a,1),1561(a,1,2,1,2))]. 2674 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2508(a,1),2615(a,1,1)),flip(a)]. 2676 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1027(a,1),2648(a,2,1))]. 2677 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(240,a,2302,a(flip),b,2676,a)]. 2678 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),2673(a,1,2,1)),flip(a)]. 2679 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(2678(a,1),1134(a,1,1,2))]. 2680 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2573(a,1),2584(a,1,2)),flip(a)]. 2681 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(2680(a,2),483(a,1))]. 2682 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1829(a,1),2661(a,1,2))]. 2683 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(735,a,2682,a),flip(a)]. 2684 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(240,a,2662,a(flip),b,2683,a(flip)),flip(a)]. 2685 K(x,y / (x * y)) = K(x,x \ 1). [hyper(240,a,2491,a(flip),b,2684,a(flip))]. 2687 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(240,a,2667,a,b,2685,a(flip)),flip(a)]. 2688 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2685(a,1,2,2)),flip(a)]. 2689 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2688(a,1),1925(a,1,1,1))]. 2691 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(240,a,2665,a(flip),b,2687,a(flip)),flip(a)]. 2692 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2687(a,1),2045(a,1,1))]. 2693 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(240,a,270,a(flip),b,2692,a)]. 2694 L(x,y,K(y,y \ 1)) = x. [hyper(1460,a,2692,a(flip))]. 2695 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(240,a,1872,a(flip),b,2692,a(flip)),flip(a)]. 2697 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(199(a,1),2692(a,1,2))]. 2699 L(x,1 / y,K(y \ 1,y)) = x. [para(1505(a,1),2694(a,1,3))]. 2700 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(240,a,1886,a(flip),b,2699,a(flip)),flip(a)]. 2701 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(240,a,1477,a(flip),b,2699,a(flip)),flip(a)]. 2702 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1441(a,1),2699(a,1,3))]. 2703 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2699(a,1),1476(a,1,2)),flip(a)]. 2704 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2699(a,1),1777(a,1,1,2))]. 2706 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(240,a,1497,a(flip),b,2702,a(flip)),flip(a)]. 2707 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2702(a,1),1496(a,1,2)),flip(a)]. 2708 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(240,a,139,a(flip),b,2704,a)]. 2709 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2704(a,1,1)),flip(a)]. 2710 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2704(a,1,1))]. 2711 L(T(x \ y,z),x,x \ 1) = T((1 / x) * y,z). [para(2704(a,1),40(a,2,1))]. 2712 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(399(a,1),2704(a,1,1))]. 2713 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(998(a,1),2704(a,1,1))]. 2714 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2704(a,1),1971(a,2,1,2))]. 2715 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(90,a,2709,a)]. 2716 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(81,a,2709,a)]. 2717 L(x \ y,x,x \ 1) != z | (1 / x) * y = z. [para(2709(a,1),310(a,1))]. 2718 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2709(a,1),267(a,1,1))]. 2719 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2715(a,1),226(a,1,1)),flip(b)]. 2720 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(65(a,1),2716(a,1,2,3))]. 2721 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2710(a,1),192(a,1,2))]. 2722 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(310,a,2693,a),flip(a)]. 2723 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(73,a,122,a(flip),b,2693,a)]. 2724 K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. [para(2693(a,2),588(a,1))]. 2725 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [hyper(73,a,14,a(flip),b,2695,a),flip(a)]. 2727 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2700(a,1,2)),flip(a)]. 2728 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2700(a,1),1595(a,1,1,2))]. 2729 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2700(a,1),1884(a,1,2))]. 2731 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2701(a,1),1546(a,1,2,2,1,2))]. 2732 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(90,a,2703,a)]. 2733 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2703(a,1),30(a,2,2)),flip(a)]. 2734 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2703(a,1),432(a,1,1))]. 2735 ((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(2703(a,1),442(a,1,1))]. 2736 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2703(a,1),2204(a,1,2)),flip(a)]. 2737 T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). [para(2703(a,1),2223(a,1,1))]. 2738 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(62(a,1),2736(a,1,2,1)),flip(a)]. 2739 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(1873,a,2706,a)]. 2741 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1875,a,2707,a),flip(a)]. 2743 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(263(a,1),2707(a,1,2))]. 2744 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(2650,a,2722,a),flip(a)]. 2745 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(123(a,1),2725(a,1,2,1))]. 2746 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2727(a,1),14(a,1,2))]. 2748 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1199(a,1),2729(a,1,2)),flip(a)]. 2749 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1395(a,1),2732(a,1,2))]. 2750 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1437(a,2),2739(a,1,1))]. 2754 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(2728(a,2),14(a,1,2))]. 2755 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(240,a,1667,a,b,2754,a(flip)),flip(a)]. 2756 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(17,a,1804,a(flip),b,2755,a)]. 2757 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,2755,a)]. 2758 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(73,a,2755,a(flip),b,2722,a)]. 2760 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1145(a,1),2755(a,1,2))]. 2761 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(240,a,2343,a(flip),b,2756,a)]. 2762 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(240,a,2727,a(flip),b,2757,a(flip)),flip(a)]. 2763 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(73,a,2757,a(flip),b,2727,a(flip))]. 2764 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,2727,a(flip),b,2757,a(flip)),flip(a)]. 2765 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2757(a,1),14(a,1,2)),flip(a)]. 2766 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(17,a,2703,a,b,2762,a)]. 2767 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2762(a,1),19(a,1)),flip(a)]. 2768 K(x \ 1,x) * x = 1 / (1 / x). [para(1493(a,1),2762(a,1,2))]. 2769 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [para(2002(a,1),2762(a,1,2))]. 2770 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2692(a,1),2762(a,1,2))]. 2771 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2693(a,1),2762(a,1,2))]. 2772 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2739(a,1),2762(a,1,2))]. 2773 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2745(a,1),2762(a,1,2))]. 2774 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2763(a,1),224(a,1,2))]. 2775 K(x,x \ 1) * (K(x \ 1,x) * y) != z * u | z \ y = u. [para(2763(a,1),309(a,1))]. 2776 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2763(a,1),2322(a,1,2,1))]. 2777 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2763(a,1),2323(a,1,2,1))]. 2778 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(73,a,2764,a(flip),b,2722,a),flip(a)]. 2779 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2764(a,1),19(a,1)),flip(a)]. 2780 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2764(a,1),2695(a,1,2)),flip(a)]. 2782 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2766(a,1),142(a,1,1,2))]. 2783 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2766(a,1),449(a,1,2,2))]. 2784 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2766(a,1),2695(a,1,2)),flip(a)]. 2785 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(555,a,2770,a)]. 2786 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(984(a,1),2770(a,1,2)),flip(a)]. 2787 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1241,a,2771,a),flip(a)]. 2788 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(240,a,1141,a(flip),b,2773,a(flip)),flip(a)]. 2789 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(13(a,1),2773(a,1,2)),flip(a)]. 2790 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1507(a,1),2778(a,1,2,1))]. 2791 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2785(a,1),1894(a,1,2,2))]. 2792 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2745(a,1),2774(a,1,2)),flip(b)]. 2793 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2769(a,1),2339(a,1,2)),flip(a)]. 2794 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(2712(a,2),2142(a,1,1))]. 2796 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(240,a,2048,a(flip),b,2689,a)]. 2797 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(172(a,2),2796(a,2,2,2))]. 2798 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2486,a,2723,a)]. 2799 T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). [hyper(240,a,2614,a(flip),b,2737,a)]. 2800 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2744(a,1),2761(a,1,2))]. 2801 x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). [hyper(240,a,2674,a,b,2799,a),flip(a)]. 2802 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(240,a,2784,a(flip),b,2697,a)]. 2803 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1451,a,2802,a)]. 2804 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(73,a,2803,a,b,199,a)]. 2805 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),2803(a,1,2)),flip(a)]. 2806 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(545,a,2805,a),flip(a)]. 2807 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2713(a,1),2714(a,1,2))]. 2808 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(12(a,1),2807(a,2,1,2))]. 2809 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1440(a,2),2808(a,2,1))]. 2810 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2691(a,1),2797(a,1,1,1))]. 2811 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1499,a,2810,a)]. 2813 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2811(a,2),2327(a,1,1))]. 2814 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(240,a,42,a,b,2813,a(flip))]. 2815 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(240,a,2638,a(flip),b,2814,a)]. 2816 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(11(a,1),2815(a,2,2,1))]. 2817 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(16(a,1),2776(a,1,2,1,2))]. 2819 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2793(a,2),994(a,1))]. 2820 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(240,a,2791,a(flip),b,2786,a(flip)),flip(a)]. 2821 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(916(a,1),2749(a,1,2,1))]. 2822 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2731(a,1),2821(a,1,1))]. 2823 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(2822(a,1),16(a,1,1))]. 2824 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2823(a,1),2338(a,1,2))]. 2825 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(242,a,2824,a),flip(a)]. 2826 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2819,a,2825,a),flip(a)]. 2829 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). [hyper(240,a,2363,a,b,2826,a(flip)),flip(a)]. 2830 T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. [para(2826(a,1),2362(a,1,2))]. 2831 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). [hyper(240,a,2346,a,b,2829,a(flip)),flip(a)]. 2832 T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). [hyper(240,a,1975,a,b,2831,a(flip)),flip(a)]. 2834 T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). [para(2333(a,1),2832(a,1,1))]. 2835 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). [para(2834(a,1),2389(a,1,2,1)),flip(a)]. 2836 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). [para(1997(a,1),2835(a,2,2))]. 2837 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. [hyper(240,a,2830,a(flip),b,2836,a)]. 2839 T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). [para(14(a,1),2837(a,1,1,1)),flip(a)]. 2841 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(153(a,1),2839(a,2,1))]. 2842 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2841(a,1),62(a,1,2))]. 2844 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(144(a,1),2841(a,1,1,1)),flip(a)]. 2845 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2283(a,1),2841(a,1,1,1)),flip(a)]. 2846 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(2513,a,2842,a)]. 2847 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(124(a,1),2842(a,1,2,2)),flip(a)]. 2848 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2842(a,1),1664(a,1,1,1,2))]. 2849 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2842(a,1),2700(a,2,1))]. 2850 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2844(a,1),65(a,1,1))]. 2851 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),2850(a,2,1,1))]. 2852 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(124(a,1),2850(a,1,1,1)),flip(a)]. 2853 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(123(a,2),2850(a,2,1)),flip(a)]. 2854 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2850(a,1),2758(a,1,1))]. 2855 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2853(a,2),2559(a,1,2))]. 2856 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(240,a,2816,a(flip),b,2847,a(flip)),flip(a)]. 2857 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2847(a,1),122(a,1,2)),flip(a)]. 2858 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2847(a,1),177(a,1,1,2))]. 2859 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(737,a,2852,a)]. 2860 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2852(a,1),122(a,1,2)),flip(a)]. 2861 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2852(a,1),177(a,1,1,2))]. 2862 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [hyper(75,a,2529,a(flip),b,2857,a)]. 2863 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(108(a,2),2857(a,2,2,2,2))]. 2864 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2858(a,1,1,2,2,2))]. 2865 (1 / (1 / (x / y))) * y != z | y * (1 / (1 / (y \ x))) = z. [para(2858(a,1),226(a,1,1)),flip(b)]. 2867 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2859(a,2,1,1))]. 2868 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(240,a,2055,a(flip),b,2867,a(flip)),flip(a)]. 2870 T(x,y / (y * x)) = T(x,x \ 1). [hyper(240,a,123,a,b,2868,a)]. 2871 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2868(a,1,2,2))]. 2872 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2870(a,1),122(a,1,2))]. 2873 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2871(a,1,2))]. 2874 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(62(a,1),2871(a,1,2))]. 2875 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2874(a,1),2788(a,1,2))]. 2876 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(119(a,2),2860(a,1,1,1,1))]. 2877 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2861(a,1,1,2,1,1))]. 2878 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2861(a,1),226(a,1,1)),flip(b)]. 2879 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(62(a,1),2862(a,1,1,2,2)),flip(a)]. 2880 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2872(a,1),2581(a,1,1)),flip(a)]. 2881 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(65(a,1),2875(a,1,2,1,1,2)),flip(a)]. 2882 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(148(a,1),2875(a,1,2,1,1,2))]. 2883 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2879(a,1),65(a,1,1)),flip(a)]. 2884 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2881(a,1),62(a,1,2))]. 2885 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2884(a,1,2,2,1,1))]. 2886 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2860(a,2),2884(a,1,2))]. 2887 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2886(a,1,2,1,1,1))]. 2888 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2856(a,1),14(a,1,2))]. 2889 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(177(a,1),2848(a,1,1))]. 2891 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2889(a,1),2772(a,1,2))]. 2892 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(18,a,1956,a,b,2891,a),flip(a)]. 2893 T(x,K(y \ 1,y)) = x. [hyper(35,a,2892,a)]. 2894 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2892(a,1),122(a,1,2)),flip(a)]. 2895 T((x \ 1) * x,y) = K(x \ 1,x). [para(198(a,1),2892(a,1,1))]. 2896 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2892(a,1),231(a,1,2))]. 2898 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2892(a,1),2317(a,1,1))]. 2900 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(240,a,2737,a(flip),b,2893,a(flip)),flip(a)]. 2901 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(182,a,2893,a(flip),b,2801,a),flip(a)]. 2902 T(x,K(y,1 / y)) = x. [para(65(a,1),2893(a,1,2,1))]. 2905 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2893(a,1),231(a,1,2))]. 2907 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2893(a,1),544(a,1,2,2))]. 2908 T(x,K(y,y \ 1)) = x. [para(1441(a,1),2893(a,1,2))]. 2909 T(x,K(y \ z,z \ y)) = x. [para(2644(a,1),2893(a,1,2))]. 2910 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2125,a,2902,a),flip(a)]. 2913 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2125,a,2908,a),flip(a)]. 2914 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(35,a,2908,a)]. 2915 x * T(y,(x \ 1) \ 1) = y * x. [hyper(240,a,2798,a(flip),b,2908,a(flip)),flip(a)]. 2916 T(x,(y \ 1) \ 1) = T(x,y). [hyper(182,a,2908,a(flip),b,2798,a(flip)),flip(a)]. 2918 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2908(a,1),231(a,1,2))]. 2919 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2125,a,2909,a),flip(a)]. 2920 T(x,1 / y) = T(x,y \ 1). [para(65(a,1),2916(a,1,2,1)),flip(a)]. 2921 T(x,T(y,y \ 1)) = T(x,y). [para(123(a,2),2916(a,1,2))]. 2922 T(x,1 / (1 / y)) = T(x,y). [para(149(a,1),2916(a,1,2)),flip(a)]. 2923 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2249(a,2),2916(a,1,2))]. 2924 T(x,L(1 / y,z,u)) = T(x,L(y \ 1,z,u)). [para(2441(a,1),2916(a,1,2)),flip(a)]. 2925 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2850(a,1),2916(a,1,2))]. 2926 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2851(a,1),2916(a,1,2)),flip(a)]. 2927 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2874(a,2),2916(a,1,2))]. 2928 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). [hyper(240,a,863,a,b,2920,a),flip(a)]. 2929 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2920(a,1),122(a,1,2))]. 2930 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2920(a,1),932(a,2,1))]. 2933 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2921(a,1),122(a,1,2))]. 2934 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(73,a,2914,a(flip),b,2809,a)]. 2938 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2792,a,2894,a),flip(a)]. 2939 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2774,a,2894,a)]. 2941 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(240,a,2567,a(flip),b,2894,a)]. 2942 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(240,a,2564,a(flip),b,2894,a)]. 2943 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(240,a,2558,a(flip),b,2894,a)]. 2946 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(240,a,1064,a(flip),b,2894,a)]. 2947 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(73,a,482,a(flip),b,2894,a)]. 2949 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(240,a,2789,a,b,2894,a(flip)),flip(a)]. 2950 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(240,a,2729,a,b,2894,a(flip)),flip(a)]. 2951 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(240,a,2700,a(flip),b,2894,a(flip))]. 2952 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2894(a,1),106(a,1,1))]. 2954 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2894(a,2),468(a,1,2))]. 2955 (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(2894(a,2),608(a,1,1))]. 2956 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2894(a,1),704(a,1,2))]. 2957 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2894(a,2),288(a,1,1))]. 2958 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2894(a,2),2561(a,1,1))]. 2959 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2894(a,2),2572(a,1))]. 2960 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2894(a,1),2785(a,1,2))]. 2961 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2894(a,1),2787(a,1,2))]. 2962 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2894(a,1),2767(a,1))]. 2964 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(240,a,2750,a(flip),b,2910,a(flip))]. 2965 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(2775,a,2913,a)]. 2966 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2724,a,2913,a),flip(a)]. 2967 (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. [hyper(240,a,2636,a,b,2913,a),flip(a)]. 2968 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [hyper(240,a,2574,a(flip),b,2913,a)]. 2969 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(240,a,2573,a(flip),b,2913,a)]. 2970 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(240,a,2480,a(flip),b,2913,a)]. 2971 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(240,a,2479,a(flip),b,2913,a)]. 2972 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(240,a,2766,a(flip),b,2913,a(flip))]. 2973 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(240,a,2755,a(flip),b,2913,a(flip))]. 2974 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(240,a,2739,a(flip),b,2913,a(flip))]. 2975 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2913(a,2),30(a,2,2)),flip(a)]. 2976 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2913(a,2),468(a,1,2))]. 2977 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2913(a,2),2576(a,1,1))]. 2978 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2913(a,1),2774(a,1,2))]. 2979 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2913(a,1),2817(a,1,2,1))]. 2980 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2939(a,1),119(a,2,1))]. 2981 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1528(a,1),2939(a,1,1))]. 2982 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [para(2707(a,1),2939(a,1,1))]. 2983 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [hyper(767,a,2941,a),flip(a)]. 2984 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2941(a,1),108(a,2,1))]. 2985 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2635(a,1),2941(a,1,2))]. 2986 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2941(a,1),2787(a,1,2)),flip(a)]. 2989 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(81,a,2901,a)]. 2990 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2933(a,1),2391(a,2,1))]. 2991 (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. [para(1443(a,2),2938(a,1,2))]. 2992 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2938(a,1),2561(a,1,1))]. 2993 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2943(a,1),2787(a,1,2))]. 2994 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2949(a,1),2806(a,1,1))]. 2995 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2951(a,1),2510(a,1,1))]. 2996 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2772(a,1),2958(a,1,1)),flip(a)]. 2997 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [para(2268(a,1),2961(a,1,2))]. 2998 (1 / (1 / x)) * ((y / (1 / (1 / x))) * x) = x * y. [para(2967(a,2),2741(a,1,2))]. 2999 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2842(a,1),2968(a,1,2,2))]. 3000 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(240,a,2046,a(flip),b,2970,a)]. 3001 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2970(a,1),2777(a,1,2,1))]. 3002 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(75,a,2974,a(flip),b,2582,a)]. 3003 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2707(a,1),2977(a,1,1)),flip(a)]. 3004 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2743(a,1),2977(a,1,1))]. 3005 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2644(a,1),2982(a,1,2))]. 3006 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(182,a,2989,a(flip),b,983,a)]. 3008 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2989(a,1),700(a,2,1)),flip(a)]. 3009 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(240,a,123,a,b,3006,a)]. 3010 T(x,T(1 / x,y)) = (x \ 1) \ 1. [hyper(240,a,2926,a,b,3006,a(flip)),flip(a)]. 3012 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(240,a,2926,a,b,3009,a(flip)),flip(a)]. 3013 T(x,T(x \ 1,y)) != z | (x \ 1) \ 1 = z. [para(3009(a,2),396(a,1))]. 3014 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3010(a,1),1669(a,1,1))]. 3015 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3012(a,1),1669(a,1,1))]. 3016 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3012(a,1),2310(a,1,1,1))]. 3017 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2773(a,1),2905(a,1))]. 3018 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2658(a,2),2978(a,1,2)),flip(b)]. 3019 K(1 / x,y) = K(x \ 1,y). [hyper(240,a,2549,a(flip),b,3008,a(flip)),flip(a)]. 3020 K(1 / (1 / x),y) = K(x,y). [hyper(240,a,649,a(flip),b,3019,a)]. 3021 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(240,a,934,a(flip),b,3019,a(flip))]. 3022 K((x \ 1) \ 1,y) = K(x,y). [para(62(a,1),3019(a,1,1)),flip(a)]. 3023 T(K(x,y),x) = K(x,y). [para(3020(a,1),2624(a,1,1))]. 3024 T(x,K(x,y)) = x. [hyper(35,a,3023,a)]. 3025 K(x,y) * x = x * K(x,y). [para(3023(a,1),122(a,1,2)),flip(a)]. 3027 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3023(a,1),193(a,1,2,1)),flip(a)]. 3028 T(T(x,y),K(x,z)) = T(x,y). [para(3024(a,1),38(a,1,1)),flip(a)]. 3029 K(x,y) * x != z | x * K(x,y) = z. [para(3024(a,1),231(a,1,2))]. 3031 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3024(a,1),192(a,1,2,1)),flip(a)]. 3032 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3024(a,1),193(a,1,2,1)),flip(a)]. 3033 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3024(a,1),416(a,1,1,2)),flip(a)]. 3034 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3024(a,1),383(a,1,2,1))]. 3036 T(x,y \ ((x * y) / x)) = x. [para(1681(a,1),3024(a,1,2))]. 3038 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2656,a,3022,a)]. 3039 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3028,a)]. 3040 T(x,T(y,x) \ y) = x. [para(177(a,1),3036(a,1,2,2))]. 3041 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(35,a,3040,a)]. 3042 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3040(a,1),122(a,1,2))]. 3044 T(K(x,y),T(x,z)) = T(K(x,y),x). [hyper(240,a,3023,a,b,3039,a)]. 3045 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3039(a,1),231(a,1,2))]. 3046 K(K(x,y),T(z,y) \ z) = 1. [para(3041(a,1),2156(a,1,2))]. 3047 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1123(a,1),3046(a,1,1))]. 3050 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(73,a,3047,a(flip),b,2271,a),flip(a)]. 3051 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3033,a)]. 3052 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3051(a,1,2,1))]. 3053 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(240,a,1639,a,b,3042,a(flip)),flip(a)]. 3054 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3042(a,1),1780(a,1,2,1))]. 3055 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3042(a,1),1915(a,1,1,2,1))]. 3056 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3052,a)]. 3059 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(765,a,3027,a),flip(a)]. 3060 K(x,R(K(x,y),z,u)) = 1. [hyper(72,a,3027,a,b,98,a),flip(a)]. 3061 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(183,a,3031,a)]. 3062 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3061(a,1),384(a,1,2,1))]. 3063 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(183,a,3032,a)]. 3065 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(240,a,2284,a(flip),b,2919,a)]. 3066 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(62(a,1),2930(a,1,1,2)),flip(a)]. 3067 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1621(a,1),2946(a,2,2))]. 3069 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(62(a,1),2993(a,2,2))]. 3070 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(2995(a,2),2928(a,1,2))]. 3071 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(1377(a,1),2998(a,1,2))]. 3072 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(124(a,2),3002(a,1,1))]. 3074 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3014(a,1),28(a,2,1)),flip(a)]. 3076 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,2695,a,b,3015,a(flip)),flip(a)]. 3078 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(18,a,2888,a(flip),b,3065,a)]. 3080 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(32(a,2),3078(a,1,1))]. 3081 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(2270,a,3080,a)]. 3083 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(73,a,3081,a(flip),b,1440,a(flip))]. 3084 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1446,a,3083,a)]. 3085 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(73,a,3083,a(flip),b,2934,a(flip))]. 3086 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3084(a,1),2800(a,1,2))]. 3087 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(240,a,3085,a(flip),b,3086,a(flip))]. 3088 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(240,a,3050,a,b,3087,a(flip)),flip(a)]. 3089 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(240,a,2343,a,b,3087,a(flip)),flip(a)]. 3090 (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),3087(a,1,1,2))]. 3091 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(124(a,1),3087(a,1,1,2)),flip(a)]. 3092 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1687(a,1),3087(a,1,1,2)),flip(a)]. 3093 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2989(a,1),3087(a,1,1))]. 3094 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3088(a,1),147(a,1,2,1))]. 3095 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(3089(a,1),14(a,1,2))]. 3096 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(81,a,3070,a)]. 3097 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(124(a,1),3091(a,1,1)),flip(a)]. 3098 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),3097(a,1,1,2)),flip(a)]. 3099 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1137(a,2),3093(a,1,1)),flip(a)]. 3100 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1323(a,1),3093(a,1,1)),flip(a)]. 3101 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2950(a,2),2994(a,1,1))]. 3103 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(240,a,2760,a(flip),b,3000,a(flip)),flip(a)]. 3104 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3042(a,1),3054(a,2,1))]. 3105 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),3098(a,1,1)),flip(a)]. 3106 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3105(a,1),62(a,1,2))]. 3107 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(771,a,2957,a)]. 3108 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),3092(a,2,1))]. 3110 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,3003,a,b,2880,a),flip(a)]. 3111 T(1 / (1 / x),y / (y * x)) = x. [hyper(182,a,3110,a,b,xx)]. 3113 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3111(a,1,2,2))]. 3114 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3113(a,1),178(a,1,2,2))]. 3115 (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(1818(a,2),3114(a,1,2))]. 3117 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2264(a,1),3005(a,1,2))]. 3118 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(2920(a,1),3021(a,2,1,1))]. 3119 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(240,a,3042,a(flip),b,3055,a)]. 3120 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(17,a,2997,a,b,3069,a)]. 3121 (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),3090(a,2,1))]. 3122 T(x,K(y,x) \ 1) = x. [para(3099(a,1),3040(a,1,2))]. 3123 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3122(a,1),122(a,1,2))]. 3124 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3123(a,1),171(a,2,1)),flip(a)]. 3125 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1443(a,1),3117(a,1,2))]. 3126 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1510(a,1),3121(a,1,1)),flip(a)]. 3127 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2913(a,2),2975(a,1,1))]. 3128 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(122(a,2),3059(a,2,1,1,1))]. 3129 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1100(a,1),3016(a,2,1))]. 3132 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3129(a,2),654(a,1))]. 3133 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(240,a,402,a,b,3004,a),flip(a)]. 3134 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2947(a,1),3107(a,1,1,2))]. 3135 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2536(a,1),3125(a,2,1,2))]. 3136 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(240,a,139,a(flip),b,3135,a)]. 3138 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3136(a,1),2599(a,1,1))]. 3139 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(2865,a,2863,a),flip(a)]. 3140 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(179(a,1),2990(a,2,1))]. 3141 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(240,a,337,a(flip),b,3140,a)]. 3144 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3141(a,1),263(a,1,2)),flip(a)]. 3145 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(240,a,12,a(flip),b,3144,a)]. 3146 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3145(a,1),299(a,1,1)),flip(b)]. 3147 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3146,a,2413,a)]. 3148 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(73,a,3147,a(flip),b,2147,a)]. 3149 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(65(a,1),3147(a,1,2))]. 3150 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1078(a,1),3149(a,1,1))]. 3151 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1097(a,1),3150(a,1,1)),flip(a)]. 3152 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(901(a,1),3138(a,2,1,2))]. 3153 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2436(a,2),3139(a,1,2))]. 3154 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) != u | x * (y * (1 / (1 / (y \ z)))) = u. [para(3153(a,1),230(a,1))]. 3155 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(3154,a,2464,a),flip(a)]. 3156 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(2448(a,1),3155(a,2,2))]. 3157 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(53(a,1),3156(a,2,2,2,2,2,2,2))]. 3159 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),3157(a,2,2,2,2,2))]. 3160 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1440(a,2),3159(a,2,2,2))]. 3161 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3160(a,1),19(a,1)),flip(a)]. 3162 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1441(a,1),2849(a,1,1))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3081(a,1),3162(a,1,1))]. 3165 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(65(a,1),3164(a,1,2,1))]. 3167 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2918,a,3165,a)]. 3168 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(2779,a,3165,a)]. 3170 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1443(a,1),3167(a,1,2))]. 3171 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3167(a,1),2986(a,1,2)),flip(a)]. 3172 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [para(2841(a,1),3168(a,1,2))]. 3173 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2905,a,3172,a)]. 3174 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1475,a,3172,a)]. 3175 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(240,a,2891,a(flip),b,3172,a(flip)),flip(a)]. 3176 x * (T(x,y) \ 1) = x / T(x,y). [para(3175(a,1),14(a,1,2))]. 3177 x / T(x,y) = T(x,y) \ x. [hyper(1001,a,3176,a),flip(a)]. 3179 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1279,a,3177,a)]. 3180 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(75,a,3177,a(flip),b,1248,a)]. 3181 (T(x,y) \ x) * T(x,y) = x. [para(3177(a,1),16(a,1,1))]. 3182 (T(x,y) \ x) \ x = T(x,y). [para(3177(a,1),65(a,1,1))]. 3184 L(x,T(x,y) \ x,x) = x. [hyper(240,a,2114,a,b,3181,a(flip)),flip(a)]. 3186 (x * y) * T(K(y,x),x) = y * x. [para(3184(a,1),2113(a,1,2)),flip(a)]. 3188 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(3180(a,2),65(a,1,1))]. 3189 T(K(x,y),y) = K(x,y). [hyper(265,a,3186,a),flip(a)]. 3190 T(x,K(y,x)) = x. [hyper(35,a,3189,a)]. 3191 K(x,y) * y = y * K(x,y). [para(3189(a,1),122(a,1,2)),flip(a)]. 3192 (x * K(y,x)) / x = K(y,x). [para(3189(a,1),177(a,1,1,2))]. 3193 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3189(a,1),192(a,1,2,1)),flip(a)]. 3194 K(x,K(y,x)) = 1. [hyper(36,a,3190,a)]. 3195 T(T(x,y),K(z,x)) = T(x,y). [para(3190(a,1),38(a,1,1)),flip(a)]. 3197 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3190(a,1),191(a,1,2,1)),flip(a)]. 3198 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3190(a,1),192(a,1,2,1)),flip(a)]. 3199 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3190(a,1),193(a,1,2,1)),flip(a)]. 3200 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3190(a,1),382(a,1,2,1))]. 3202 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3190(a,1),410(a,1,2,1,1)),flip(a)]. 3203 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3190(a,1),696(a,1,2,1,1))]. 3204 T(x,y \ T(y,x)) = x. [para(1123(a,1),3190(a,1,2))]. 3205 T(x,x \ ((y * x) / y)) = x. [para(1335(a,1),3190(a,1,2))]. 3206 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3190(a,1),2208(a,1,1,1)),flip(a)]. 3207 T(x \ T(x,y),y) = x \ T(x,y). [hyper(35,a,3204,a)]. 3208 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3204(a,1),122(a,1,2))]. 3209 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(3204(a,1),191(a,1,2,1)),flip(a)]. 3210 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3191(a,1),106(a,1,1))]. 3211 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3191(a,1),120(a,1,1,1))]. 3212 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3191(a,1),472(a,2,2))]. 3214 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3192(a,1),493(a,1,1,1))]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3205(a,1),209(a,1,2))]. 3217 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(240,a,2677,a(flip),b,3174,a(flip))]. 3218 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(240,a,2645,a(flip),b,3174,a(flip)),flip(a)]. 3219 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3174(a,1),2846(a,1,2))]. 3220 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3174(a,1),2985(a,1,1))]. 3221 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3174(a,1),2855(a,2,2))]. 3223 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(240,a,1361,a,b,3216,a(flip)),flip(a)]. 3224 x * (((y * x) / y) / x) = (y * x) / y. [para(3216(a,2),14(a,1,2))]. 3225 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(804(a,1),3216(a,1,1)),flip(a)]. 3227 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(32(a,1),3218(a,1,2))]. 3229 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1362(a,1),3224(a,1,2))]. 3230 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3173(a,2),988(a,1,2))]. 3231 T(x,L(K(y,x),z,u)) = x. [hyper(183,a,3193,a)]. 3232 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3199(a,1),19(a,1)),flip(a)]. 3233 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3199(a,2),444(a,1,1,2))]. 3235 K(x / y,y / x) = K(y \ x,x \ y). [hyper(240,a,2665,a(flip),b,3217,a(flip)),flip(a)]. 3236 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(240,a,2688,a,b,3235,a(flip)),flip(a)]. 3237 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2981,a,b,3219,a),flip(a)]. 3239 T(x,y) / x = x \ T(x,y). [hyper(81,a,3237,a),flip(a)]. 3240 K(x,T(x,y) / x) = 1. [hyper(72,a,3237,a(flip),b,264,a),flip(a)]. 3241 (x \ T(x,y)) * x = T(x,y). [para(3237(a,1),66(a,1,1,2))]. 3242 T(1 / x,T(x,y)) = x \ 1. [hyper(73,a,3240,a(flip),b,1056,a),flip(a)]. 3243 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1640,a,3239,a),flip(a)]. 3244 (1 / x) * T(x,y) = x \ T(x,y). [hyper(240,a,917,a,b,3239,a(flip)),flip(a)]. 3245 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(240,a,916,a,b,3239,a(flip)),flip(a)]. 3246 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3239(a,1),226(a,1,1)),flip(b)]. 3247 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3239(a,1),119(a,1,1))]. 3248 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3239(a,1),491(a,1,1))]. 3249 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(3239(a,1),1565(a,2,2,1))]. 3250 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3239(a,1),2103(a,1,1))]. 3251 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3239(a,1),2188(a,1,1,2))]. 3252 T(x,x \ T(x,y)) = x. [hyper(280,a,3241,a)]. 3254 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3241(a,1),28(a,2,1)),flip(a)]. 3255 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(123(a,1),3241(a,1,1,2))]. 3256 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3241(a,1),106(a,1,1))]. 3257 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3241(a,1),483(a,1,1,1))]. 3258 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3252(a,1),191(a,1,2,1)),flip(a)]. 3259 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1123(a,2),3252(a,1,2))]. 3260 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(240,a,1642,a(flip),b,3242,a(flip)),flip(a)]. 3261 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3242(a,1),194(a,1,1)),flip(a)]. 3262 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3242(a,1),364(a,2,1))]. 3263 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3242(a,1),1124(a,1,1)),flip(a)]. 3264 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1156,a,3259,a)]. 3267 T(x,R(1 / y,y,x)) != z | T(x,x / (x * y)) = z. [para(1662(a,2),3246(a,1))]. 3269 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3264(a,1),14(a,1,2))]. 3270 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1087(a,1),3264(a,1,1,1,1))]. 3271 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2721(a,1),3269(a,1,1,1,1))]. 3273 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(177(a,1),3260(a,1,3,2))]. 3274 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3099(a,1),3273(a,1,3))]. 3275 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(240,a,3124,a,b,3274,a(flip)),flip(a)]. 3276 T(1 / x,(y * x) / y) = x \ 1. [hyper(182,a,3223,a,b,1341,a)]. 3278 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(3227(a,1),2551(a,1,1,2))]. 3279 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3227(a,1),2647(a,1,2)),flip(a)]. 3280 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3236(a,1),1459(a,1,1))]. 3281 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3239(a,1),3250(a,2,2))]. 3283 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3261(a,1),3263(a,1,2)),flip(a)]. 3284 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(240,a,285,a(flip),b,3283,a)]. 3288 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3284(a,1),996(a,1,1,2))]. 3290 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(3281(a,1),16(a,1,1))]. 3291 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1087(a,1),3243(a,2,2,1))]. 3292 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3243(a,1),3088(a,1,2)),flip(a)]. 3293 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,98,a(flip),b,3206,a)]. 3294 x / K(y,x) = K(y,x) \ x. [hyper(90,a,3293,a)]. 3297 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(183,a,3209,a)]. 3298 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2619,a,3230,a)]. 3299 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1055,a,3258,a),flip(a)]. 3300 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(608(a,1),3280(a,1,1,2))]. 3301 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3227(a,1),3280(a,1,1))]. 3303 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3299(a,2),981(a,1,2))]. 3304 R(x,x \ T(x,y),T(x,z)) = x. [hyper(718,a,3303,a)]. 3305 L(x,x \ T(x,y),x) = x. [para(3304(a,1),1047(a,1,1))]. 3306 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(240,a,3106,a(flip),b,3292,a)]. 3307 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(177(a,1),3306(a,2,1))]. 3308 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3053(a,1),3307(a,1,1))]. 3309 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3308(a,1),62(a,1,2))]. 3310 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3308(a,1),3104(a,1,2)),flip(a)]. 3311 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3308(a,1),3119(a,1,1,2))]. 3312 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1133(a,1),3309(a,1,2,2))]. 3313 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2842(a,1),3220(a,2,2))]. 3314 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(123(a,1),3221(a,1,2,1))]. 3317 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(2982(a,1),3278(a,1,1)),flip(a)]. 3318 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3317(a,1),65(a,1,1))]. 3319 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3318(a,1,1,1,1,2)),flip(a)]. 3320 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3319(a,1),65(a,1,1))]. 3321 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2709(a,1),3320(a,1,1,1,1))]. 3322 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3320(a,1),3022(a,1,1)),flip(a)]. 3323 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(3018,a,3301,a)]. 3324 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(240,a,2887,a,b,3323,a)]. 3325 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(118(a,1),3323(a,2,1,1,2))]. 3326 x * (((y / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. [para(3323(a,1),628(a,2,2)),flip(a)]. 3327 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(3323(a,2),2916(a,1,2))]. 3328 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(240,a,169,a,b,3324,a),flip(a)]. 3329 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3324(a,2),124(a,1,1))]. 3330 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(123(a,2),3324(a,2,2,1)),flip(a)]. 3331 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(172(a,2),3327(a,2,2)),flip(a)]. 3334 T(x,R(y \ 1,y,x)) != z | T(x,x / (x * y)) = z. [para(3331(a,1),3267(a,1))]. 3335 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3328(a,2),3331(a,2,2)),flip(a)]. 3336 (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. [para(3326(a,1),2597(a,2,1))]. 3337 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(123(a,1),3313(a,1,2,2))]. 3338 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(3314(a,1),16(a,1,1))]. 3339 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(240,a,1646,a,b,3335,a)]. 3340 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3254(a,1),1011(a,1,2)),flip(a)]. 3341 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3340(a,1,1)),flip(a)]. 3342 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(240,a,2142,a,b,3256,a(flip)),flip(a)]. 3343 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3239(a,1),3251(a,2,2,1,2))]. 3344 ((1 / (x / (y * x))) \ 1) \ 1 = ((x / (y * x)) * y) \ y. [para(2053(a,1),3336(a,1,1,1))]. 3345 ((x / (y * x)) * y) \ y = (x / (y * x)) \ 1. [para(65(a,1),3344(a,1,1)),flip(a)]. 3347 L(1 / (x \ ((y / (x * y)) * x)),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3345(a,1),2293(a,2,2,2))]. 3348 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3311,a(flip),b,3343,a(flip))]. 3350 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(411(a,1),3248(a,2,1))]. 3351 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(240,a,42,a,b,3329,a(flip)),flip(a)]. 3352 T(x,R((y \ z) \ 1,((y \ z) \ 1) \ 1,x)) = (y \ (z * ((x * (z \ y)) / x))) * x. [para(1808(a,1),3339(a,2,1))]. 3353 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2738(a,1),3351(a,1,1))]. 3354 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(240,a,965,a(flip),b,3353,a(flip)),flip(a)]. 3355 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(123(a,2),3354(a,2,1,1)),flip(a)]. 3356 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(62(a,1),3170(a,2,1,1,2))]. 3357 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2896,a,3356,a)]. 3358 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(13(a,1),3357(a,1,2)),flip(a)]. 3359 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(3358(a,1),14(a,1,2))]. 3360 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2700(a,1),3359(a,1,2))]. 3361 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3360(a,1),984(a,1,2))]. 3362 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2756(a,1),3360(a,1,2)),flip(a)]. 3363 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(3208(a,1),3249(a,2,2))]. 3364 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(240,a,202,a(flip),b,3363,a)]. 3365 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3223(a,1),3364(a,1,1))]. 3366 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(240,a,1033,a(flip),b,3365,a(flip)),flip(a)]. 3367 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(14(a,1),3366(a,1,1,2)),flip(a)]. 3368 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(3239(a,1),3367(a,2,1))]. 3369 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(240,a,3207,a(flip),b,3368,a)]. 3370 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(75,a,3369,a(flip),b,202,a)]. 3371 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(394,a,3370,a)]. 3372 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(1057(a,1),3371(a,1,3))]. 3373 R(1 / x,x,K(y,x)) = 1 / x. [para(1135(a,2),3372(a,1,3))]. 3374 (1 / x) \ K(y,x) = x * K(y,x). [para(3373(a,1),366(a,1,1))]. 3375 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(539,a,3374,a),flip(a)]. 3376 (1 / x) * (x * K(y,x)) = K(y,x). [para(3374(a,1),14(a,1,2))]. 3379 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3325(a,1),487(a,1,1))]. 3380 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2790(a,1),3362(a,1,2))]. 3381 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(123(a,2),3380(a,1,2,1))]. 3382 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = (y \ (x * (y / x))) * x. [para(14(a,1),3352(a,2,1,2,2,1))]. 3383 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(101(a,1),3382(a,2,1))]. 3385 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3383(a,2),3029(a,1))]. 3386 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(804(a,1),3225(a,1,2)),flip(a)]. 3387 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(240,a,1779,a(flip),b,3386,a(flip))]. 3389 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3341(a,1),3342(a,1,1))]. 3390 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(799,a,3389,a)]. 3391 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3390(a,1,1)),flip(a)]. 3392 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(73,a,3305,a(flip),b,3391,a)]. 3393 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1687(a,1),3392(a,1,1,2)),flip(a)]. 3394 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3243(a,1),3392(a,1,1)),flip(a)]. 3395 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3306(a,1),3394(a,1,2)),flip(a)]. 3396 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(177(a,1),3395(a,1,1,2)),flip(a)]. 3397 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(177(a,1),3396(a,1,2,1)),flip(a)]. 3398 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3397(a,1),14(a,1,2))]. 3399 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3393(a,2,1))]. 3401 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3108(a,1),3399(a,1,2))]. 3402 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1505(a,1),2999(a,1,1))]. 3403 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3174(a,1),3402(a,1,1))]. 3404 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),3403(a,2,2))]. 3407 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3404(a,1),2787(a,1,2))]. 3408 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1087(a,1),3270(a,2,1))]. 3409 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2956,a,2955,a),flip(a)]. 3410 L(1 / T(x / (y * x),y),y \ ((x / (y * x)) * y),y) = 1 / (1 / ((x / (y * x)) \ 1)). [para(32(a,2),3347(a,1,1,2))]. 3411 L(1 / R(x \ 1,x,y),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(622(a,1),3410(a,1,1,2))]. 3412 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2878,a,3379,a)]. 3413 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2703(a,1),2735(a,1,2)),flip(a)]. 3415 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3413(a,2),449(a,1))]. 3416 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3271(a,1,1,1))]. 3418 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3416(a,1),20(a,1)),flip(a)]. 3419 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3101(a,1),2794(a,1,1))]. 3420 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3335(a,1),3291(a,1,2))]. 3421 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(42(a,2),3420(a,1,2))]. 3422 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(2040(a,1),3421(a,1,2,1)),flip(a)]. 3423 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(240,a,1510,a(flip),b,3422,a)]. 3425 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(240,a,3103,a(flip),b,3423,a(flip)),flip(a)]. 3426 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1790(a,2),3425(a,1,2))]. 3427 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3426(a,1),2463(a,1,1)),flip(a)]. 3428 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3038(a,1),3312(a,1,2)),flip(a)]. 3429 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(240,a,3294,a(flip),b,3428,a)]. 3430 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3100(a,1),3428(a,1,2))]. 3431 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3430(a,1,2,1,2,2,1))]. 3432 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(122(a,1),3431(a,1,2,1,2))]. 3433 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3432(a,1,2,1))]. 3434 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(240,a,3294,a(flip),b,3433,a)]. 3435 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(73,a,3294,a(flip),b,3433,a)]. 3437 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(73,a,3434,a(flip),b,3123,a)]. 3438 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3434(a,1),19(a,1))]. 3439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3434(a,1),3275(a,1,1))]. 3440 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3437(a,1),902(a,1,2,1))]. 3441 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3439(a,1),14(a,1,2))]. 3442 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3441(a,1),2578(a,1,1)),flip(a)]. 3443 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(240,a,271,a(flip),b,3440,a(flip))]. 3444 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(646,a,3443,a),flip(a)]. 3445 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(240,a,3444,a(flip),b,3442,a)]. 3446 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3445(a,1),2326(a,1,2,2))]. 3447 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3429(a,1),3310(a,1,1)),flip(a)]. 3448 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(555,a,3446,a),flip(a)]. 3449 K(x,(y \ 1) \ 1) = K(x,y). [hyper(240,a,632,a(flip),b,3448,a),flip(a)]. 3450 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3448(a,2),634(a,1))]. 3451 K(x,1 / y) = K(x,y \ 1). [para(65(a,1),3449(a,1,2,1)),flip(a)]. 3452 K(x,T(y,y \ 1)) = K(x,y). [para(123(a,2),3449(a,1,2))]. 3453 K(x,1 / (1 / y)) = K(x,y). [para(149(a,1),3449(a,1,2)),flip(a)]. 3454 K(x,T(y,1 / y)) = K(x,y). [para(1419(a,2),3449(a,1,2))]. 3455 K(x,T(y / z,z / y)) = K(x,y / z). [para(2047(a,2),3449(a,1,2))]. 3456 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2851(a,1),3449(a,1,2)),flip(a)]. 3457 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3449(a,1),3375(a,2,2))]. 3460 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(240,a,1688,a,b,3451,a(flip)),flip(a)]. 3462 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3451(a,2),3375(a,2,2))]. 3464 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2442(a,1),3453(a,1,2))]. 3465 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(2862(a,2),3453(a,1,2))]. 3466 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3449(a,1),3457(a,1,2))]. 3467 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(240,a,2986,a,b,3466,a(flip)),flip(a)]. 3468 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(240,a,3425,a(flip),b,3460,a(flip)),flip(a)]. 3469 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3460(a,1),2402(a,1,1))]. 3470 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3468(a,1),3427(a,2,1))]. 3471 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(2989(a,1),3447(a,1,2))]. 3472 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(1135(a,2),3471(a,1,2)),flip(a)]. 3473 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3472(a,1),62(a,1,2))]. 3474 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(240,a,3469,a(flip),b,3470,a)]. 3475 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1440,a(flip),b,3474,a)]. 3476 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(240,a,3151,a,b,3475,a(flip)),flip(a)]. 3477 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3476(a,1),62(a,1,2)),flip(a)]. 3478 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),3476(a,1,1,1,2)),flip(a)]. 3479 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(144(a,1),3476(a,1,1,1)),flip(a)]. 3480 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2842(a,1),3476(a,1,1,1))]. 3481 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),3477(a,1,1,2)),flip(a)]. 3482 L(R(1 / x,x,y) \ 1,x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3478(a,1),3411(a,1,1))]. 3483 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3479(a,1),65(a,1,1)),flip(a)]. 3484 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3481(a,1),2922(a,1,2))]. 3485 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(488(a,1),3483(a,2,1,1))]. 3486 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3483(a,2),2916(a,1,2))]. 3487 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3483(a,2),2876(a,1,1))]. 3488 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(691(a,1),3480(a,1,1)),flip(a)]. 3489 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(233,a,3487,a),flip(a)]. 3490 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2860(a,1),3489(a,2,1))]. 3491 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(240,a,3412,a(flip),b,3490,a(flip)),flip(a)]. 3492 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(240,a,2882,a(flip),b,3490,a(flip)),flip(a)]. 3493 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3483(a,2),3492(a,1,1))]. 3494 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3279(a,1),3493(a,2,1))]. 3495 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3485(a,1),3494(a,1,1))]. 3496 L(R(1 / x,x,y) \ 1,T(y / (x * y),x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(32(a,2),3482(a,1,2))]. 3497 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(622(a,1),3496(a,1,2))]. 3498 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (y / (x * y)). [para(62(a,1),3497(a,2,2))]. 3500 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3279(a,1),3491(a,2,1))]. 3501 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3495(a,1,2,1))]. 3502 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1413,a,3501,a),flip(a)]. 3504 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),3133(a,1,1,3))]. 3505 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2517(a,1),3504(a,1,1))]. 3506 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2546(a,1),2620(a,1,2))]. 3507 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),2679(a,1,1,2))]. 3509 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1088(a,1),3507(a,1,1)),flip(a)]. 3511 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3509(a,1),3408(a,1,1))]. 3512 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(73,a,3511,a(flip),b,3401,a)]. 3513 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(240,a,3103,a(flip),b,3512,a(flip)),flip(a)]. 3514 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(240,a,3460,a(flip),b,3513,a(flip))]. 3515 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3514(a,1),2280(a,1,1))]. 3516 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3468(a,2),3515(a,1,1))]. 3517 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(240,a,3126,a,b,3516,a(flip)),flip(a)]. 3518 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3132,a,3517,a)]. 3519 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(240,a,3387,a,b,3518,a(flip)),flip(a)]. 3520 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3518(a,1),2238(a,2,1,1))]. 3521 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3519(a,1),14(a,1,2))]. 3522 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(240,a,3477,a(flip),b,3521,a)]. 3523 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1472,a,b,3522,a),flip(a)]. 3524 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(405,a,3523,a)]. 3525 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3524(a,1),316(a,1))]. 3526 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3524(a,1),3500(a,1,1))]. 3527 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3526(a,1),20(a,1))]. 3528 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3022(a,1),3526(a,1,1))]. 3529 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1507(a,1),3528(a,2,1,2))]. 3531 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3523(a,1),3520(a,1,1)),flip(a)]. 3532 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(438,a,3531,a)]. 3533 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3022(a,1),3532(a,1,3))]. 3534 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3533(a,1),106(a,1,2))]. 3535 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3529,a(flip),b,3534,a)]. 3536 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2913,a,b,3535,a)]. 3539 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3536(a,1),3529(a,1,1)),flip(a)]. 3540 L(x,y,K(z,z \ 1)) = x. [para(3536(a,1),3533(a,1,3))]. 3542 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3540(a,1),106(a,1,2))]. 3543 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3540(a,1),391(a,1,2)),flip(a)]. 3544 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3540(a,1),501(a,1,2))]. 3545 L(x,y,K(z,1 / z)) = x. [para(1437(a,2),3540(a,1,3))]. 3546 L(x,y,K(z \ 1,z)) = x. [para(1443(a,1),3540(a,1,3))]. 3547 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3540(a,1),1870(a,1,2)),flip(a)]. 3548 L(x,y,K(z \ u,u \ z)) = x. [para(2260(a,1),3540(a,1,3))]. 3550 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3545(a,1),106(a,1,2))]. 3551 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3545(a,1),391(a,1,2)),flip(a)]. 3552 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3415,a,3546,a),flip(a)]. 3553 L(x,y,K(z \ 1,z)) = 1 * x. [hyper(323,a,3546,a),flip(a)]. 3560 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(240,a,3134,a(flip),b,3546,a(flip))]. 3561 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(240,a,2984,a(flip),b,3546,a(flip))]. 3562 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3546(a,1),106(a,1,2))]. 3563 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3546(a,1),501(a,1,2))]. 3566 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(3546(a,1),2734(a,1,2))]. 3567 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3546(a,1),2952(a,1,2))]. 3568 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3546(a,1),3415(a,1))]. 3570 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3548(a,1),106(a,1,2))]. 3571 L(x,y,K(z \ 1,z)) != u | x = u. [para(3553(a,2),77(a,1))]. 3573 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(240,a,2718,a,b,3552,a(flip)),flip(a)]. 3574 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [hyper(240,a,3506,a(flip),b,3552,a(flip))]. 3575 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(240,a,459,a(flip),b,3552,a(flip))]. 3576 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),3552(a,1,3)),flip(a)]. 3578 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(3409(a,2),3571(a,1))]. 3580 x * a(x,y \ 1,y) = R(x,y \ 1,y). [para(3560(a,1),14(a,1,2))]. 3582 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(3580(a,1),241(a,1,2)),flip(b)]. 3583 T((1 / x) * y,z) != u | L(T(x \ y,z),x,x \ 1) = u. [para(570(a,1),3568(a,1))]. 3586 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3543(a,1),2918(a,1))]. 3587 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2918,a,3547,a)]. 3588 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(645(a,1),3587(a,1,1)),flip(a)]. 3591 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(75,a,3539,a(flip),b,118,a)]. 3593 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(472,a,3542,a)]. 3595 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(240,a,2462,a,b,3593,a(flip)),flip(a)]. 3596 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2913(a,1),3544(a,1,1))]. 3597 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3544(a,1),2980(a,1,1))]. 3598 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(240,a,2910,a(flip),b,3550,a)]. 3599 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(2750(a,1),3550(a,1,1)),flip(a)]. 3601 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3561(a,2,2))]. 3602 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1469(a,1),3561(a,2,2))]. 3603 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3561(a,1),2783(a,1))]. 3604 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2913(a,2),3561(a,1,1))]. 3605 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2972(a,1),3561(a,1,1)),flip(a)]. 3607 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3562(a,1),30(a,2,1,1)),flip(a)]. 3610 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3563(a,1),124(a,1,1))]. 3611 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(878(a,1),3563(a,1,1)),flip(a)]. 3612 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(2768(a,1),3563(a,1,1)),flip(a)]. 3613 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2959,a,3611,a)]. 3614 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(209(a,1),3612(a,1,2)),flip(a)]. 3615 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3566(a,1),1943(a,2,2,1,2)),flip(a)]. 3617 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3527,a,3567,a)]. 3618 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(240,a,2894,a(flip),b,3567,a)]. 3619 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(75,a,64,a(flip),b,3567,a),flip(a)]. 3620 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(240,a,3338,a(flip),b,3567,a(flip))]. 3621 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3567(a,1),24(a,2,1)),flip(a)]. 3622 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3567(a,1),28(a,2,1)),flip(a)]. 3623 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3567(a,1),449(a,1,2,2))]. 3624 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3567(a,1),2733(a,1,1))]. 3625 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3525,a,3617,a)]. 3626 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3617(a,1),1091(a,1,2))]. 3629 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3625(a,1),1469(a,1,1))]. 3630 K(R(x,y,z),R(x,y,z) \ 1) = (K(x \ 1,x) * u) \ u. [para(3625(a,1),2965(a,1,1,1)),flip(a)]. 3631 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(75,a,92,a(flip),b,3598,a)]. 3633 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(73,a,93,a(flip),b,3618,a)]. 3634 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3618(a,2),2896(a,1))]. 3635 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(73,a,3629,a(flip),b,2729,a),flip(a)]. 3636 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(3629(a,1),2958(a,1,1))]. 3637 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(783,a,3631,a)]. 3638 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(240,a,123,a,b,3633,a),flip(a)]. 3639 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2939(a,1),3633(a,1,2))]. 3640 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(12(a,1),3639(a,2,2))]. 3642 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [para(2894(a,2),3640(a,1,1))]. 3647 ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). [hyper(893,a,3605,a),flip(a)]. 3648 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(2709(a,1),3647(a,1,1))]. 3649 x / a(y \ 1,y,x) = L(x,y,y \ 1). [para(3648(a,1),62(a,1,2))]. 3650 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(3649(a,1),250(a,1,1)),flip(b)]. 3651 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2748(a,1),3610(a,1,1))]. 3652 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2900,a,b,3626,a),flip(a)]. 3654 R(x,y,z) / x = x \ R(x,y,z). [hyper(1105,a,3652,a)]. 3655 (x \ R(x,y,z)) * x = R(x,y,z). [para(3652(a,1),1102(a,1,1))]. 3656 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(3652(a,1),1105(a,1))]. 3657 T(x \ R(x,y,z),x) = x \ R(x,y,z). [para(3654(a,1),124(a,1,1))]. 3658 T(x \ R(x,y,z),x) != u | x \ R(x,y,z) = u. [para(3654(a,1),387(a,1,1))]. 3659 (x / y) \ R(x / y,y,y \ 1) = (x * (y \ 1)) / (x / y). [para(488(a,1),3654(a,1,1)),flip(a)]. 3660 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3654(a,1),498(a,1,1))]. 3661 T(x,x \ R(x,y,z)) = x. [hyper(280,a,3655,a)]. 3662 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(678(a,1),3655(a,1,1))]. 3663 K(x,x \ R(x,y,z)) = 1. [hyper(36,a,3661,a)]. 3664 K(R(x,y,z),R(x,y,z) \ 1) = K(x,x \ 1). [hyper(240,a,2965,a(flip),b,3630,a)]. 3665 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(1444,a,3664,a)]. 3666 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3595,a,b,3665,a),flip(a)]. 3667 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(3666(a,1),241(a,1,2)),flip(b)]. 3668 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(3667,a,3635,a),flip(a)]. 3669 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(240,a,3148,a(flip),b,3668,a(flip)),flip(a)]. 3670 (x \ 1) * (R(x,y,z) \ x) = R(x,y,z) \ 1. [para(3668(a,1),14(a,1,2))]. 3671 (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). [para(488(a,1),3659(a,1,2)),flip(a)]. 3672 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2919(a,1),3570(a,1,1))]. 3673 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2511(a,1),3578(a,1,1,2))]. 3674 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3660(a,2),2852(a,1,1,1,1))]. 3675 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3672(a,2),164(a,1)),flip(b)]. 3676 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(240,a,3127,a(flip),b,3591,a(flip))]. 3677 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1443(a,1),3676(a,1,2)),flip(a)]. 3678 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1443(a,1),3677(a,1,3)),flip(a)]. 3679 R(x,K(x \ 1,x),y) = x. [hyper(240,a,2618,a(flip),b,3678,a)]. 3680 R(1 / x,K(x \ 1,x),y) = 1 / x. [hyper(240,a,2609,a(flip),b,3678,a)]. 3681 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3679(a,1),477(a,1,1,1)),flip(a)]. 3682 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(3680(a,1),2232(a,1,1)),flip(a)]. 3683 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(438,a,3681,a)]. 3684 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3174(a,1),3683(a,1,2))]. 3685 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3684(a,1),2387(a,1,2)),flip(a)]. 3686 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3562(a,1),3607(a,1,1))]. 3687 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1404(a,1),3685(a,1,1))]. 3688 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(198(a,2),3687(a,1,2,1))]. 3689 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(240,a,2820,a(flip),b,3688,a(flip)),flip(a)]. 3690 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3689(a,1),2780(a,1,2))]. 3691 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(240,a,3563,a(flip),b,3686,a(flip)),flip(a)]. 3692 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3691(a,1,2)),flip(a)]. 3693 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(240,a,3001,a(flip),b,3692,a)]. 3694 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2767,a,3692,a(flip))]. 3695 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1469(a,1),3694(a,1,2,1))]. 3696 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2762(a,1),3694(a,1,2,1)),flip(a)]. 3697 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(240,a,2913,a(flip),b,3696,a)]. 3698 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3241(a,1),3690(a,1,2,1))]. 3699 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(123(a,1),3698(a,2,2,1,1))]. 3700 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(589(a,1),3699(a,1,1)),flip(a)]. 3701 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2942(a,1),3693(a,1,1)),flip(a)]. 3702 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(90,a,3701,a)]. 3703 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3701(a,1,1,2,1)),flip(a)]. 3704 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3702(a,1,1,1)),flip(a)]. 3705 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3703(a,2,1,2))]. 3706 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2516(a,1),3703(a,2,1,2))]. 3707 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3704(a,1),14(a,1,2)),flip(a)]. 3708 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3707(a,2),2385(a,1,1))]. 3709 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(75,a,3705,a(flip),b,203,a)]. 3710 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(240,a,3152,a(flip),b,3706,a(flip))]. 3711 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(75,a,3706,a(flip),b,2518,a),flip(a)]. 3712 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3706(a,1),3505(a,1,1)),flip(a)]. 3713 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3710(a,1,1)),flip(a)]. 3714 x * (y \ T(y,x)) = (y * x) / y. [hyper(90,a,3713,a),flip(a)]. 3715 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(75,a,14,a(flip),b,3713,a),flip(a)]. 3716 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,122,a(flip),b,3713,a)]. 3717 x \ ((y * x) / y) = y \ T(y,x). [hyper(81,a,3714,a)]. 3718 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(73,a,237,a(flip),b,3714,a),flip(a)]. 3719 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(73,a,177,a(flip),b,3714,a)]. 3720 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3229,a,b,3714,a),flip(a)]. 3721 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3224,a,b,3714,a),flip(a)]. 3722 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3714(a,1),3290(a,1,1))]. 3723 ((x * y) / x) \ y = T(x,y) \ x. [para(3714(a,1),3348(a,1,1))]. 3724 (T(x,y) \ x) * ((x * y) / x) = y. [para(3714(a,1),3398(a,1,2))]. 3725 T(x,T(y,x)) \ x = y \ T(y,x). [para(3716(a,1),3348(a,1,1)),flip(a)]. 3726 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3717(a,1),457(a,1,1))]. 3727 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3717(a,1),1637(a,1,1)),flip(a)]. 3728 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3719(a,2),3247(a,1,1))]. 3729 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3721(a,1),469(a,1,1,1))]. 3730 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3721(a,1),493(a,1,1,1))]. 3731 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3723(a,1,1,1)),flip(a)]. 3732 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3723(a,1),1348(a,1,2,2,1))]. 3733 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3418,a,3724,a)]. 3734 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3725(a,1),88(a,1,2)),flip(b)]. 3735 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3725(a,1),3182(a,1,1))]. 3736 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2989(a,1),3735(a,1,1))]. 3737 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(123(a,1),3715(a,1,2,2))]. 3738 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3722(a,1),449(a,1,1))]. 3740 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(81,a,3737,a)]. 3742 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(177(a,1),3726(a,2,2)),flip(a)]. 3743 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(240,a,3241,a(flip),b,3727,a)]. 3744 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(3385,a,3743,a),flip(a)]. 3745 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3328(a,1),3743(a,1,2))]. 3746 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3743(a,1),3385(a,1))]. 3747 T(x,x / (x * y)) = T(x,y \ 1). [hyper(3334,a,3745,a)]. 3748 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2073,a,3747,a)]. 3749 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(401,a,3747,a(flip),b,2070,a)]. 3750 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(75,a,3747,a(flip),b,2070,a)]. 3751 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(73,a,3747,a(flip),b,1684,a),flip(a)]. 3752 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(123(a,2),3744(a,1,2,1))]. 3753 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(62(a,1),3750(a,2,2,1))]. 3754 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(65(a,1),3750(a,1,1,2))]. 3755 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3750(a,2),171(a,2,1))]. 3756 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(124(a,1),3718(a,1,2))]. 3757 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(240,a,3731,a,b,3756,a(flip)),flip(a)]. 3758 x / (x / y) = y * (T(y,y \ x) \ y). [para(3757(a,2),14(a,1,2)),flip(a)]. 3760 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3758(a,2,2,1,2))]. 3761 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(240,a,1107,a,b,3720,a(flip)),flip(a)]. 3762 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3720(a,1),1811(a,1,1))]. 3763 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3720(a,1),2017(a,2,2,1))]. 3764 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3720(a,1),2072(a,2,2,1))]. 3765 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3720(a,1),2399(a,1,1))]. 3766 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1137(a,2),3736(a,1,1)),flip(a)]. 3767 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3749(a,1),2565(a,2,1,2))]. 3768 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(73,a,3754,a,b,xx)]. 3769 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(240,a,1040,a(flip),b,3760,a(flip)),flip(a)]. 3770 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3760(a,2),19(a,1))]. 3772 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3769(a,1),1325(a,2,2,1,2))]. 3773 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3752(a,2),19(a,1))]. 3774 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(240,a,3751,a(flip),b,3762,a),flip(a)]. 3775 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3262(a,1),3774(a,1,2,2,1)),flip(a)]. 3776 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3728(a,1),846(a,1,1))]. 3777 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(240,a,3751,a(flip),b,3765,a)]. 3778 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(240,a,1234,a(flip),b,3711,a(flip)),flip(a)]. 3779 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3751(a,1),3763(a,1,1))]. 3780 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(240,a,3573,a(flip),b,3733,a(flip)),flip(a)]. 3781 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2736(a,1),3780(a,2,1))]. 3782 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(65(a,1),3700(a,1,2,1,1,1))]. 3783 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2746,a,b,3782,a),flip(a)]. 3784 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(75,a,3361,a(flip),b,3782,a(flip))]. 3785 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3783(a,1),2787(a,1,2))]. 3786 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3785(a,1),3074(a,1,2))]. 3787 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3776(a,2,1))]. 3788 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(240,a,3777,a,b,3775,a)]. 3789 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2916(a,1),3788(a,2,1,2))]. 3790 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3712(a,2,1,1,2))]. 3791 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),3790(a,2,2))]. 3792 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(240,a,1534,a(flip),b,3772,a(flip))]. 3793 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(122(a,1),3792(a,2,1,2))]. 3794 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3723(a,1),3732(a,2,2))]. 3795 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(449,a,3786,a),flip(a)]. 3796 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(240,a,3576,a(flip),b,3795,a(flip))]. 3797 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(240,a,108,a(flip),b,3796,a(flip))]. 3798 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3651(a,2),3603(a,1))]. 3799 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2483(a,1),3767(a,1,1,1))]. 3800 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3613(a,1),3799(a,1,1,1))]. 3801 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(124(a,1),3800(a,1,1))]. 3802 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3567(a,1),3622(a,1,2))]. 3803 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(240,a,3563,a(flip),b,3624,a(flip)),flip(a)]. 3804 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(772,a,3802,a)]. 3805 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3571,a,3804,a),flip(a)]. 3807 L(x,y,z / (1 / u)) = L(x,y,z / (u \ 1)). [para(2511(a,1),3805(a,1,3))]. 3808 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(2512(a,1),3805(a,1,3)),flip(a)]. 3809 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2894(a,2),3805(a,1,3))]. 3810 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2771(a,1),3809(a,1,3)),flip(a)]. 3811 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (y \ 1)). [hyper(240,a,2668,a,b,3808,a(flip)),flip(a)]. 3812 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1443(a,1),3588(a,2,2))]. 3813 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(62(a,1),3812(a,1,1))]. 3814 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3567(a,1),3621(a,1,2,1))]. 3815 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3562(a,1),3814(a,1,2))]. 3816 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(774,a,3815,a)]. 3817 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3571,a,3816,a),flip(a)]. 3819 a(1 / x,y,z) = a(x \ 1,y,z). [para(1115(a,1),3817(a,1,1)),flip(a)]. 3820 ((x * (1 / (1 / y))) \ x) \ ((1 / y) * 1) = ((x * y) \ x) \ (y \ 1). [hyper(240,a,2181,a(flip),b,3574,a(flip))]. 3821 ((x * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). [para(12(a,1),3820(a,1,2))]. 3822 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3708(a,1),233(a,1))]. 3823 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3822,a,3764,a)]. 3824 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3748(a,1),3823(a,1,1)),flip(a)]. 3825 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2916(a,1),3824(a,1,2,1,2)),flip(a)]. 3826 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2916(a,1),3825(a,1,1)),flip(a)]. 3827 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3826(a,1,2,2)),flip(a)]. 3828 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3827(a,1,2)),flip(a)]. 3829 L(x,y \ T(y,z),y) = x. [hyper(706,a,3828,a)]. 3831 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(90,a,3828,a)]. 3832 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,984,a,b,3828,a)]. 3833 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,977,a(flip),b,3828,a)]. 3837 L(x,T(y,T(z,y)) \ y,z) = x. [para(3725(a,2),3829(a,1,2))]. 3838 L(x,T(y,z) \ y,(y * z) / y) = x. [para(176(a,1),3837(a,1,2,1,2))]. 3839 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(73,a,3838,a(flip),b,3794,a),flip(a)]. 3840 R(x,x \ T(x,y),z) = x. [hyper(718,a,3831,a)]. 3841 R(x,x \ (K(y,x) \ x),z) = x. [para(3766(a,1),3840(a,1,2,2))]. 3842 R(x,K(y,x) \ 1,z) = x. [para(3435(a,1),3841(a,1,2))]. 3843 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(240,a,3779,a(flip),b,3832,a(flip))]. 3845 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(90,a,3833,a)]. 3846 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3833(a,1),241(a,1,2)),flip(b)]. 3847 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(3833(a,1),310(a,1))]. 3848 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3257,a,3845,a)]. 3849 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3845(a,1),3787(a,1,1)),flip(a)]. 3851 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(240,a,3350,a(flip),b,3848,a(flip)),flip(a)]. 3852 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3839(a,1),14(a,1,2))]. 3853 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(240,a,3730,a,b,3852,a(flip)),flip(a)]. 3854 (T(x,y) \ x) * (x * y) = y * x. [para(65(a,1),3852(a,1,2)),flip(a)]. 3855 K(x,y) = T(T(y,x) \ y,y * x). [hyper(182,a,3854,a,b,98,a),flip(a)]. 3856 (x * y) / (y * x) = T(y,x) \ y. [hyper(90,a,3854,a)]. 3859 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3856(a,1,2)),flip(a)]. 3860 T(x,y / x) \ x != z | y / (x * (y / x)) = z. [para(3856(a,1),388(a,1))]. 3861 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3856(a,2),3094(a,1,2,1)),flip(a)]. 3862 (x * (y / x)) / y = (x \ y) \ (y / x). [para(124(a,1),3859(a,1,1)),flip(a)]. 3863 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(240,a,3740,a(flip),b,3862,a)]. 3864 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(240,a,3761,a(flip),b,3863,a(flip))]. 3865 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3846(a,1,2))]. 3866 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3735(a,1),3865(a,1))]. 3867 R(K(x,y),x,z) = K(x,y). [hyper(240,a,3742,a,b,3849,a)]. 3868 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3849(a,1),346(a,1)),flip(b)]. 3870 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3867(a,1),118(a,1,1)),flip(a)]. 3871 L(x,y,K(y,z)) = x. [hyper(438,a,3870,a)]. 3873 L(x,y,K(y,z)) = 1 * x. [hyper(323,a,3871,a),flip(a)]. 3877 L(x,y,K(y,z)) != u | u = x. [para(3873(a,2),76(a,1))]. 3878 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1158,a,3851,a),flip(a)]. 3881 ((x \ y) / y) \ T((x \ y) / y,z) != u | x * T(x \ 1,z) = u. [para(3851(a,1),1158(a,1))]. 3882 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3864(a,1),3255(a,1,1))]. 3883 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3246,a,3882,a),flip(a)]. 3884 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3883(a,1,2,2))]. 3885 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),3883(a,1,2,2)),flip(a)]. 3886 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3883(a,1),179(a,1,2))]. 3887 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3883(a,1),209(a,1,2))]. 3889 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3883(a,1),3757(a,1,1)),flip(a)]. 3890 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(65(a,1),3886(a,1,2,2))]. 3891 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2916(a,1),3887(a,1,2))]. 3892 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(396,a,3884,a),flip(a)]. 3893 x / T(y * x,y \ 1) = (y * x) \ x. [para(3884(a,1),209(a,1,2))]. 3894 T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. [para(3884(a,1),396(a,1))]. 3895 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). [para(3892(a,1),2130(a,2,2)),flip(a)]. 3897 T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. [para(2916(a,1),3894(a,1))]. 3898 R(K(x,y),x,z) != u | K(x,y) = u. [para(3849(a,2),3868(a,1))]. 3899 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3878(a,1),3735(a,1,1)),flip(a)]. 3900 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(240,a,3736,a(flip),b,3899,a)]. 3901 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3832(a,1),3843(a,2,2))]. 3902 x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. [para(3718(a,1),3881(a,1))]. 3903 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(3902,a,3889,a),flip(a)]. 3905 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(240,a,1119,a,b,3903,a),flip(a)]. 3906 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(240,a,901,a(flip),b,3903,a)]. 3909 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(3903(a,2),449(a,1,1))]. 3911 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3905(a,2),3182(a,1,1))]. 3912 T(x,y) \ x = y \ T(y,x). [para(2916(a,1),3906(a,1,1))]. 3913 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(240,a,3718,a(flip),b,3912,a)]. 3914 T(x,y) * (y \ T(y,x)) = x. [para(3912(a,1),14(a,1,2))]. 3915 (x * y) / x = y * (T(y,x) \ y). [para(3912(a,2),3714(a,1,2)),flip(a)]. 3916 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3912(a,2),3828(a,1,2,1))]. 3917 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3912(a,2),3832(a,1,1)),flip(a)]. 3918 K(x,y) = T(x \ T(x,y),y * x). [para(3912(a,1),3855(a,2,1))]. 3919 T(x,T(y,x)) = T(x,y). [hyper(3734,a,3914,a)]. 3921 x * (T(x,y) \ y) = T(y,x). [hyper(3866,a,3919,a)]. 3922 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(240,a,3900,a(flip),b,3919,a(flip)),flip(a)]. 3923 T(x,y) / (T(y,x) \ x) = y. [hyper(75,a,3919,a(flip),b,1009,a)]. 3924 T(x,y) \ y = x \ T(y,x). [hyper(73,a,3919,a(flip),b,1009,a),flip(a)]. 3925 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3919(a,1),40(a,1,1)),flip(a)]. 3926 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3919(a,1,2))]. 3927 x * T(y,T(x,y)) = y * x. [para(3919(a,2),122(a,1,2))]. 3928 T(x,y / x) = T(x,x \ y). [para(124(a,1),3919(a,1,2)),flip(a)]. 3931 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3919(a,1),191(a,1,2,1))]. 3932 (x * y) / T(y,x) = T(x,y). [para(3919(a,1),210(a,1,2))]. 3933 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3919(a,1),192(a,1,2,1))]. 3934 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3919(a,1),193(a,1,2,1))]. 3935 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3919(a,1),382(a,1,2,1))]. 3937 T(x,y) \ (x * y) = T(y,x). [hyper(1051,a,3921,a)]. 3938 T(x,x \ y) \ y = T(x \ y,x). [hyper(1017,a,3921,a)]. 3939 T(x,y) * T(y,x) = x * y. [para(3921(a,1),985(a,1,2))]. 3940 x * (T(x,y) \ y) != z | T(y,x) = z. [para(3923(a,1),226(a,1,1)),flip(b)]. 3941 T(x,y) * (x \ T(y,x)) = y. [para(3923(a,1),147(a,1,2,1))]. 3943 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3924(a,2),99(a,1,2,1))]. 3944 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3924(a,1),95(a,1,1,2,1))]. 3945 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3924(a,1),1823(a,1,2,1))]. 3946 (x / y) * T(y,y \ x) = y * (x / y). [para(124(a,1),3927(a,1,2,2))]. 3947 T(x,y / x) = (x \ y) \ y. [hyper(240,a,123,a(flip),b,3928,a)]. 3948 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(240,a,745,a,b,3928,a(flip)),flip(a)]. 3949 (x * (y / x)) / T(x,x \ y) = y / x. [para(3928(a,1),143(a,1,2))]. 3950 (x * (y / x)) * x = y * T(x,x \ y). [para(3928(a,1),874(a,2,2))]. 3951 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3928(a,1),879(a,1,2,2))]. 3952 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3928(a,2),3768(a,1,2,1))]. 3953 (x / T(y,x)) * y = T(x,y). [hyper(1262,a,3932,a)]. 3954 T(x,y) / y = x / T(y,x). [hyper(75,a,3932,a(flip),b,1247,a(flip))]. 3955 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),3932(a,1,2))]. 3957 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3932(a,1),1265(a,1,1)),flip(a)]. 3958 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3937(a,1,1)),flip(a)]. 3959 x * T(y,z) != z * y | T(z,y) = x. [para(3937(a,1),88(a,1,2)),flip(b)]. 3960 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(3939(a,1),24(a,2,1,2)),flip(a)]. 3961 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3939(a,1),24(a,2,2,1)),flip(a)]. 3963 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3939(a,1),118(a,1,2))]. 3965 T(x \ y,x) = ((x \ y) \ y) \ y. [para(62(a,1),3947(a,1,2))]. 3968 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(240,a,3919,a,b,3953,a)]. 3970 (T(x,y) / y) \ x = T(y,x). [para(3954(a,2),65(a,1,1))]. 3972 T(x * (y / x),x) = x * (y / T(x,y)). [para(3954(a,1),1227(a,2,2))]. 3973 x / T(y,x) != z | T(x,y) / y = z. [para(3970(a,1),298(a,1,2)),flip(b)]. 3974 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(240,a,3758,a,b,3915,a)]. 3975 T(x * (T(x,y) \ x),y) = x. [para(3915(a,1),176(a,1,1))]. 3976 T(x / (x / y),y \ x) = y. [para(3758(a,2),3975(a,1,1))]. 3978 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),3976(a,1,2))]. 3979 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3976(a,1),122(a,1,2)),flip(a)]. 3980 (x \ y) * R(x,z,u) != w | R(y / (y / x),z,u) * (x \ y) = w. [para(3976(a,1),384(a,1,2,1))]. 3981 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(240,a,3774,a,b,3918,a),flip(a)]. 3982 T((x / y) \ x,x / y) = (y \ x) \ x. [para(589(a,1),3938(a,1,1)),flip(a)]. 3983 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3965(a,1),714(a,1,1))]. 3986 (x * (y / x)) / x = y / (y / (y / x)). [para(3978(a,1),177(a,1,1,2))]. 3987 T(x,T(y,x)) != z | T(x,y) = z. [para(1009(a,1),3940(a,1))]. 3991 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),3911(a,1,1,1,2)),flip(a)]. 3992 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(3860,a,3913,a)]. 3993 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1052,a,b,3916,a)]. 3994 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(240,a,3852,a,b,3917,a),flip(a)]. 3995 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3987,a,3922,a),flip(a)]. 3996 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(3922(a,1),3987(a,1))]. 3997 T(x,y / (z * y)) = T(x,z \ 1). [para(13(a,1),3995(a,1,2,1))]. 3998 T(x,(y / z) \ 1) = T(x,z / y). [para(65(a,1),3995(a,1,2,1)),flip(a)]. 4000 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1060,a,3997,a)]. 4002 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(73,a,3997,a(flip),b,1059,a)]. 4003 (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). [para(3997(a,1),122(a,1,2))]. 4005 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3998(a,1),3789(a,1,1,2))]. 4006 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(3926(a,1),38(a,1,1)),flip(a)]. 4007 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(401,a,271,a(flip),b,3950,a)]. 4008 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(240,a,1288,a,b,3979,a(flip)),flip(a)]. 4010 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3986(a,1),821(a,1,1))]. 4011 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3746,a,3991,a),flip(a)]. 4013 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(73,a,2916,a(flip),b,4000,a)]. 4014 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(17,a,863,a,b,4000,a)]. 4015 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [hyper(240,a,977,a(flip),b,4000,a(flip)),flip(a)]. 4016 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(73,a,4002,a,b,xx)]. 4017 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),4002(a,2,2,1))]. 4018 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4008(a,1),16(a,1,1))]. 4019 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3438,a,4011,a)]. 4020 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4019(a,1,1,1)),flip(a)]. 4021 K(T(x,y),y) \ 1 = K(y,x). [para(177(a,1),4020(a,1,2)),flip(a)]. 4023 K(T(x,y),y) * K(y,x) = 1. [para(4021(a,1),14(a,1,2))]. 4024 K(T(x,y),y) = K(y,x) \ 1. [para(4021(a,1),2280(a,1,1)),flip(a)]. 4025 R(x,K(x,y),z) = x. [para(4021(a,1),3842(a,1,2))]. 4026 R(T(x,y),K(x,z),u) = T(x,y). [para(4025(a,1),42(a,2,1))]. 4027 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4025(a,1),478(a,1,1,1)),flip(a)]. 4029 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4023(a,1),241(a,1,2)),flip(b)]. 4030 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(240,a,4021,a(flip),b,4024,a)]. 4031 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4026(a,1),479(a,1,1,1)),flip(a)]. 4032 K(T(x,y),T(y,x)) = K(x,y). [para(3919(a,1),4030(a,1,1))]. 4033 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(124(a,1),4029(a,1,1,1))]. 4035 K(x,y) \ 1 != z | K(T(y,x),x) = z. [para(4030(a,1),4029(a,1,1))]. 4038 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(4016(a,1),3801(a,2,1))]. 4039 T(x,y / (z * y)) != u | T(x,z \ 1) = u. [para(13(a,1),3996(a,1,2,1))]. 4040 T(x,y / z) != u | T(x,(z / y) \ 1) = u. [para(65(a,1),3996(a,1,2,1))]. 4041 T(x,R(y \ 1,y,z)) != u | T(x,y \ 1) = u. [para(3327(a,2),4039(a,1))]. 4042 (x * y) / T(T(x,y),y) = T(y,x). [hyper(75,a,3939,a(flip),b,3931,a)]. 4043 T(x,y) \ (y * x) != z | T(T(y,x),x) = z. [para(4042(a,1),250(a,1,1)),flip(b)]. 4044 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(40(a,2),4043(a,1,1))]. 4046 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(240,a,3972,a(flip),b,4007,a(flip))]. 4047 (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(3892(a,1),4013(a,1,2)),flip(a)]. 4048 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(240,a,904,a(flip),b,4017,a(flip)),flip(a)]. 4049 (x / y) \ T(x,x \ y) = x * (y / x). [para(3885(a,1),4017(a,1,2))]. 4050 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4049(a,2,2))]. 4051 ((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(4049(a,1),1762(a,1,1,2,1))]. 4052 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4050(a,1,2,2))]. 4053 (x / (y * x)) \ T(x,y) = x * y. [para(3919(a,1),4052(a,1,2))]. 4054 T(x,y) / (x * y) = x / (y * x). [para(4053(a,1),62(a,1,2))]. 4055 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),4054(a,1,2))]. 4060 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(590(a,1),3933(a,1,2))]. 4061 (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(3934(a,1),186(a,1,1,2))]. 4062 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3948(a,1),3934(a,1,2)),flip(a)]. 4063 ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(1627(a,1),4003(a,1,1,2))]. 4064 (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(1904(a,1),3955(a,1,2,1))]. 4066 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1816(a,1),4015(a,1,2))]. 4067 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2914(a,1),4066(a,1,2)),flip(a)]. 4068 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(240,a,2485,a(flip),b,4067,a)]. 4070 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(4068(a,1),999(a,1,2))]. 4071 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(4070(a,1),16(a,1,1))]. 4073 T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. [para(4071(a,1),662(a,1))]. 4074 L(x,K(y,z),L(y,u,w)) = x. [hyper(438,a,4027,a)]. 4075 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3031(a,1),4027(a,1,1))]. 4076 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(240,a,16,a(flip),b,4038,a)]. 4077 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2568,a(flip),b,4038,a),flip(a)]. 4080 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(18,a,3298,a,b,4076,a)]. 4081 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(240,a,3813,a,b,4076,a(flip)),flip(a)]. 4082 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4076(a,1),2510(a,1,1)),flip(a)]. 4083 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(589(a,1),4081(a,1,2,2,2))]. 4084 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(283(a,1),4081(a,1,2,2,2))]. 4085 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(240,a,397,a,b,4077,a)]. 4086 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(4085(a,1),3539(a,1,1)),flip(a)]. 4087 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(240,a,3614,a(flip),b,4084,a(flip)),flip(a)]. 4088 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2959,a,4087,a)]. 4089 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4088(a,1),3539(a,1,1)),flip(a)]. 4090 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4086(a,1),2765(a,1,2))]. 4091 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(240,a,2743,a(flip),b,4089,a(flip)),flip(a)]. 4092 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4091(a,1),3791(a,1,1))]. 4093 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4092(a,1),19(a,1))]. 4094 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4005(a,1,1,2,2))]. 4095 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(240,a,3297,a(flip),b,4094,a(flip))]. 4097 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4095(a,1),3729(a,1,1))]. 4098 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4095(a,1),3853(a,1,1))]. 4099 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3865,a,4098,a),flip(a)]. 4100 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3846,a,4098,a),flip(a)]. 4102 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4098(a,1),3865(a,1))]. 4104 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(240,a,3993,a(flip),b,4099,a(flip)),flip(a)]. 4105 T(x,y) \ ((x * y) / x) = x \ y. [hyper(73,a,3724,a(flip),b,4099,a(flip)),flip(a)]. 4106 x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. [hyper(73,a,4099,a(flip),b,3852,a)]. 4108 T(x / y,T(y,x)) = y \ x. [hyper(1269,a,4105,a)]. 4109 T(x,y) * (x \ y) = (x * y) / x. [para(4105(a,1),14(a,1,2))]. 4111 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(4105(a,1),2142(a,1,1,2,1)),flip(a)]. 4112 T(x,T(y,x * y)) = y \ (x * y). [para(15(a,1),4108(a,1,1))]. 4114 T(x \ y,T(x,y)) = T(x \ y,x). [para(4108(a,1),194(a,1,1)),flip(a)]. 4115 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(4108(a,1),1793(a,1,1)),flip(a)]. 4116 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1369,a,b,4109,a),flip(a)]. 4117 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(73,a,4109,a(flip),b,3994,a),flip(a)]. 4118 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(99(a,1),4109(a,1,2))]. 4119 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(4109(a,1),449(a,1,1))]. 4120 T(x,y) * y = x * ((x * y) / x). [para(4109(a,1),984(a,1,2)),flip(a)]. 4121 T(x,y) = (x / y) * ((x * y) / x). [hyper(240,a,1038,a,b,4116,a(flip))]. 4122 T(x,x / (1 / y)) = T(x,x * y). [hyper(240,a,1375,a(flip),b,4116,a(flip)),flip(a)]. 4123 (x / y) \ T(x,y) = (x * y) / x. [hyper(73,a,4116,a(flip),b,1038,a)]. 4124 T(x,x / y) = T(x,y \ x). [para(62(a,1),4116(a,1,2,2))]. 4125 T(x,(y \ x) \ x) = T(x,y). [para(144(a,1),4116(a,1,2)),flip(a)]. 4126 T(T(x,y) / (x / y),x) = x / (x / y). [para(4116(a,1),1035(a,1,1,1))]. 4127 x \ T(y,x \ y) = (y * (x \ y)) / y. [hyper(73,a,4124,a(flip),b,1037,a)]. 4128 T(T(x,y \ x) / y,x) = x / y. [para(4124(a,1),1035(a,1,1,1))]. 4129 T(x,T(y,y \ x)) = T(x,y). [para(123(a,2),4125(a,1,2))]. 4131 T(x * y,T(y,x)) = T(x * y,y). [para(3958(a,2),4125(a,1,2))]. 4132 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),4129(a,1,2,2))]. 4133 T(x,T(y,x * y)) = T(x,y). [hyper(240,a,32,a,b,4112,a)]. 4134 T(x,T(x \ y,y)) = T(x,x \ y). [para(14(a,1),4133(a,1,2,2))]. 4135 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(4114(a,1),122(a,1,2))]. 4137 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(4114(a,2),703(a,1,2,2))]. 4138 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),4120(a,2,2,1))]. 4139 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),4120(a,2,2,1))]. 4140 T(x / y,(x * y) / x) = y \ x. [hyper(182,a,4121,a(flip),b,1025,a(flip))]. 4142 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(4122(a,1),1359(a,1,1))]. 4143 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),4123(a,1,1)),flip(a)]. 4144 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(73,a,14,a(flip),b,4100,a)]. 4145 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(240,a,3917,a,b,4100,a(flip)),flip(a)]. 4146 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(73,a,4100,a(flip),b,3852,a),flip(a)]. 4148 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4100(a,1),3916(a,1,2)),flip(a)]. 4149 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(3847,a,4138,a)]. 4150 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(73,a,4002,a,b,4138,a)]. 4153 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(4138(a,1),28(a,2,1)),flip(a)]. 4154 T(x,x \ y) * y = x * (x * (y / x)). [para(4138(a,1),984(a,1,2)),flip(a)]. 4155 T(x,x \ y) * z != x * (x * (y / x)) | z = y. [para(4154(a,1),19(a,2))]. 4157 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(240,a,3968,a(flip),b,4142,a)]. 4158 R(T(x,x * y),y,x) = T(x,y). [hyper(240,a,3953,a(flip),b,4142,a)]. 4160 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4158(a,1,1,2))]. 4161 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4158(a,1),193(a,1,2)),flip(a)]. 4162 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4158(a,1),3934(a,1,2)),flip(a)]. 4164 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4157(a,1),968(a,1,2)),flip(a)]. 4165 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(240,a,123,a(flip),b,4160,a)]. 4166 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4160(a,1),3934(a,1,2)),flip(a)]. 4167 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4165(a,1),42(a,2,1))]. 4168 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,470,a,b,4161,a),flip(a)]. 4169 x \ T(y * x,y) = R(y,x,y). [hyper(1046,a,4168,a)]. 4170 L(R(x,y,x),y,x) = x. [para(4168(a,1),1047(a,1,1))]. 4171 x * R(y,x,y) = T(y * x,y). [para(4168(a,1),1045(a,1,2))]. 4172 (L(x,y,x) * y) * x = x * (y * x). [para(4170(a,1),478(a,1,1)),flip(a)]. 4173 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4169(a,1,2,1)),flip(a)]. 4174 x * R(y,x,y) != z | T(y * x,y) = z. [para(4169(a,1),224(a,1,2)),flip(b)]. 4175 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4169(a,1),108(a,1,1)),flip(a)]. 4176 (x \ 1) * R(x * y,x \ 1,x * y) = (x * T(y,x * y)) * (x \ 1). [hyper(240,a,929,a(flip),b,4171,a)]. 4177 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4171(a,1),241(a,1,2)),flip(b)]. 4178 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4171(a,1),1738(a,1,1))]. 4179 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4171(a,1),2375(a,2,1))]. 4180 T(L(x,y,x) * y,x) = y * x. [hyper(182,a,4172,a,b,xx)]. 4181 (x * (y * x)) / x = L(x,y,x) * y. [hyper(90,a,4172,a)]. 4182 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1250,a,b,4172,a),flip(a)]. 4184 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(595(a,1),4180(a,1,1))]. 4185 T(x,L(x,y,x) * y) = T(x,y * x). [para(4180(a,1),3919(a,1,2)),flip(a)]. 4186 T((x * y) / x,L(x,y,x)) = y. [hyper(1625,a,4181,a)]. 4187 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(73,a,4181,a,b,xx)]. 4188 L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). [para(4181(a,2),108(a,2,1))]. 4189 T(x,L(y,x,y)) = T(x,y). [para(4186(a,1),212(a,1,1)),flip(a)]. 4190 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4189(a,1),231(a,1,2))]. 4191 T((x * y) / x,x * y) = L(y,x,y). [hyper(418,a,4182,a)]. 4192 T(x,y * x) = T(x,x * y). [hyper(17,a,593,a,b,4182,a)]. 4193 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,595,a(flip),b,4182,a)]. 4194 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(240,a,42,a,b,4192,a(flip)),flip(a)]. 4195 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4192(a,1,2)),flip(a)]. 4196 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4192(a,1),38(a,1,1))]. 4197 T(x,T(y,y * x)) = T(x,y). [para(4192(a,1),4133(a,1,2))]. 4198 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4193(a,1),38(a,1,1)),flip(a)]. 4199 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4193(a,1),3953(a,1,1,2))]. 4200 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4195(a,1),3941(a,1,1))]. 4201 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4197(a,1),383(a,1,2,1))]. 4202 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4197(a,1),384(a,1,2,1))]. 4203 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(595(a,1),4185(a,1,2))]. 4204 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(421,a,4196,a),flip(a)]. 4205 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4204(a,2),421(a,1))]. 4206 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3738,a,4097,a)]. 4207 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(67(a,1),4097(a,1,2))]. 4209 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(123(a,1),4207(a,1,1,2))]. 4210 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4209(a,1),62(a,1,2))]. 4211 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(240,a,3863,a,b,4210,a),flip(a)]. 4212 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(935,a,4104,a),flip(a)]. 4213 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4104(a,1),1206(a,1))]. 4214 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4106(a,1),3793(a,1,2,1))]. 4215 (x / y) * (x / (x / y)) = (y \ x) * y. [para(124(a,1),4139(a,1,1)),flip(a)]. 4216 T(x \ T(x * y,y),x * y) = y. [para(4143(a,1),176(a,1,1))]. 4217 T(x \ T(x * y,y),x) = R(y,x,y). [para(4143(a,1),728(a,2,1)),flip(a)]. 4218 ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. [para(4216(a,1),301(a,1,1,2)),flip(b)]. 4219 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(240,a,3938,a,b,4217,a(flip)),flip(a)]. 4220 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(4217(a,1),122(a,1,2)),flip(a)]. 4221 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4220(a,1),100(a,1,1))]. 4222 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,413,a,b,4164,a),flip(a)]. 4223 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(240,a,4193,a(flip),b,4203,a)]. 4224 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4223(a,1),1272(a,1,1))]. 4225 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(4143(a,1),4222(a,1,1))]. 4227 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4198(a,2),4167(a,1,1))]. 4229 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(4190,a,4060,a(flip)),flip(a)]. 4231 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4192(a,2),4229(a,1,2))]. 4232 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(177(a,1),4206(a,1,3)),flip(a)]. 4234 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1221,a(flip),b,4199,a)]. 4235 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4234(a,1),16(a,1,1))]. 4237 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1229(a,1),4200(a,1,2))]. 4238 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3954(a,1),4237(a,1,2))]. 4239 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(4137,a,4115,a),flip(a)]. 4240 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(240,a,648,a(flip),b,4239,a(flip))]. 4241 K(x,T(y,y * x)) = K(x,y). [hyper(240,a,648,a(flip),b,4240,a(flip))]. 4243 K(x,T(y,x * y)) = K(x,y). [para(4192(a,2),4241(a,1,2))]. 4244 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),4243(a,1,2,2))]. 4245 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(240,a,4178,a(flip),b,4162,a)]. 4246 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4245(a,1),4175(a,1,2))]. 4247 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4062,a,b,4166,a),flip(a)]. 4249 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4247(a,2,2))]. 4250 R(x,T(y,x),x) = R(x,y,x). [para(177(a,1),4249(a,1,2)),flip(a)]. 4251 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(565,a,4232,a)]. 4252 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3883(a,1),4150(a,1,1))]. 4253 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(2716(a,1),4252(a,2,2))]. 4254 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4227(a,1),607(a,1,2))]. 4255 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3957(a,2),3935(a,1))]. 4256 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(13(a,1),4014(a,1,2,1)),flip(a)]. 4257 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(240,a,2992,a(flip),b,4256,a(flip))]. 4258 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(169(a,2),4257(a,1,2))]. 4259 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(75,a,4258,a(flip),b,792,a),flip(a)]. 4260 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(123(a,1),4090(a,1,2,1,2))]. 4262 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(123(a,2),4254(a,1,2,1))]. 4263 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4260(a,1),199(a,1,2)),flip(a)]. 4264 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4262(a,1,1,1))]. 4265 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4148(a,1),3961(a,1,1))]. 4266 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(669,a,4265,a),flip(a)]. 4267 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4265(a,1),669(a,1))]. 4268 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(240,a,4170,a(flip),b,4225,a)]. 4270 T(x,x \ T(x * y,y)) = T(x,y). [para(4268(a,1),4134(a,1,2)),flip(a)]. 4271 K(x,x \ T(x * y,y)) = K(x,y). [para(4268(a,1),4244(a,1,2)),flip(a)]. 4272 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4270(a,1),4219(a,1,1))]. 4273 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(240,a,4221,a,b,4271,a(flip))]. 4274 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4272(a,1,1))]. 4275 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4171(a,1),4273(a,2,1))]. 4276 K(x \ T(x * y,x),x) = K(y,x). [hyper(240,a,1232,a(flip),b,4275,a),flip(a)]. 4277 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4276(a,1,1,2,1))]. 4278 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(240,a,3943,a,b,4277,a(flip)),flip(a)]. 4279 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(176(a,1),4277(a,1,1,2)),flip(a)]. 4280 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4117(a,2),4279(a,1,1))]. 4281 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4280(a,1),4214(a,1,2)),flip(a)]. 4282 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4278(a,1),14(a,1,2))]. 4283 T(x,(y \ x) * y) = x. [hyper(18,a,4118,a,b,4281,a(flip)),flip(a)]. 4284 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4283,a)]. 4285 T(x * (y / x),y) = x * (y / x). [para(66(a,1),4283(a,1,2))]. 4286 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4285(a,2),4211(a,1,1))]. 4287 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4257(a,1),4286(a,1,1,1)),flip(a)]. 4288 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(240,a,3722,a(flip),b,4259,a(flip)),flip(a)]. 4289 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(240,a,2135,a(flip),b,4288,a(flip)),flip(a)]. 4290 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),4289(a,1,1,1)),flip(a)]. 4291 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),4290(a,1,1,1)),flip(a)]. 4292 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(240,a,3781,a(flip),b,4291,a(flip)),flip(a)]. 4293 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4292(a,1),3094(a,1,2,1))]. 4294 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(240,a,3861,a,b,4293,a(flip))]. 4295 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2132(a,1),4294(a,1,2))]. 4296 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3987,a,4295,a)]. 4297 T(x,(1 / x) * y) = T(x,x \ y). [hyper(240,a,2736,a,b,4296,a(flip)),flip(a)]. 4298 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4296(a,1),3981(a,1,2,2,1))]. 4299 x / T(y,(1 / y) * x) = y \ x. [para(4297(a,2),209(a,1,2))]. 4300 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(62(a,1),4299(a,1,2,2,1))]. 4301 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4298(a,1),14(a,1,2)),flip(a)]. 4302 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3773,a,4301,a)]. 4303 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4264(a,1,2,1,2)),flip(a)]. 4304 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4303(a,1,1,2)),flip(a)]. 4305 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [hyper(240,a,125,a,b,4304,a(flip)),flip(a)]. 4306 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(872,a,4305,a)]. 4307 (x \ 1) * R(x * y,x \ 1,x * y) = (L(y,x,y) * x) * (x \ 1). [para(4182(a,1),4176(a,2,1))]. 4308 (x \ 1) * R(x * y,x \ 1,x * y) = R(L(y,x,y),x,x \ 1). [hyper(240,a,203,a(flip),b,4307,a)]. 4309 (x \ 1) * R(x * y,x \ 1,x * y) = L(R(y,x,x \ 1),x,y). [hyper(240,a,44,a(flip),b,4308,a)]. 4310 T((x * y) * (x \ 1),x * y) = L(R(y,x,x \ 1),x,y). [hyper(4174,a,4309,a)]. 4311 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(4119,a,4146,a),flip(a)]. 4312 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(708,a,4311,a),flip(a)]. 4313 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(3909,a,4144,a),flip(a)]. 4315 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(240,a,3901,a(flip),b,4313,a(flip)),flip(a)]. 4316 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4145(a,1),4315(a,1,2)),flip(a)]. 4317 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(240,a,199,a(flip),b,4316,a)]. 4320 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(240,a,3797,a(flip),b,4317,a(flip))]. 4322 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4320(a,1),3419(a,2,2))]. 4323 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(134(a,1),4111(a,1,1))]. 4324 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(134(a,1),4323(a,1,2,1,1)),flip(a)]. 4325 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(240,a,1969,a(flip),b,4324,a)]. 4326 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4325(a,1,1,2,1)),flip(a)]. 4327 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4326(a,1,1,2,1)),flip(a)]. 4328 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1085,a,4179,a),flip(a)]. 4329 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2895(a,1),4328(a,1,1)),flip(a)]. 4330 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(75,a,4329,a(flip),b,1080,a)]. 4332 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2898(a,1),4330(a,1,1))]. 4333 T(x,R(x * K(y,x),z,u)) = x. [hyper(308,a,4064,a),flip(a)]. 4335 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). [para(2789(a,1),3895(a,2,1,2))]. 4336 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). [para(2701(a,1),4335(a,2,1))]. 4337 (x * y) * ((K(x \ 1,x) * y) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(2789(a,1),4047(a,1,2,1))]. 4338 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * R(x \ 1,x,y). [para(289(a,1),4337(a,1,2)),flip(a)]. 4339 (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. [hyper(75,a,4336,a(flip),b,4338,a(flip))]. 4340 (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(1165(a,1),4061(a,1,1))]. 4341 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1191(a,1),4340(a,1,2))]. 4342 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(669,a,4341,a),flip(a)]. 4343 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(240,a,4266,a,b,4342,a(flip)),flip(a)]. 4344 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3919(a,1),4343(a,1,1))]. 4345 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3483(a,2),3674(a,1,1))]. 4346 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3680(a,1),3682(a,2,2,1,1))]. 4347 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(240,a,3245,a(flip),b,4346,a)]. 4349 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3245(a,1),4347(a,1,1))]. 4350 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(4349(a,1),3288(a,1,1))]. 4351 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3284(a,1),4350(a,2,1))]. 4353 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(4351(a,1),14(a,1,2))]. 4355 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2907,a,4353,a)]. 4356 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(240,a,3832,a(flip),b,4355,a(flip)),flip(a)]. 4357 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2960(a,1),4356(a,1,2))]. 4358 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(240,a,3381,a(flip),b,4357,a(flip))]. 4359 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3014(a,1),4358(a,1,1)),flip(a)]. 4360 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4359(a,1),3784(a,1,2))]. 4361 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4360(a,1),261(a,1,1)),flip(a)]. 4362 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(240,a,4322,a,b,4361,a(flip)),flip(a)]. 4363 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3798,a,4362,a)]. 4365 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(240,a,91,a(flip),b,4363,a)]. 4367 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4365(a,1),2782(a,1,2))]. 4368 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4367(a,1),3803(a,1,2)),flip(a)]. 4370 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(240,a,2941,a(flip),b,4368,a)]. 4374 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4370(a,1,3))]. 4377 R(x,y,K(z \ 1,z)) = x. [hyper(240,a,3678,a(flip),b,4374,a(flip)),flip(a)]. 4378 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4374(a,1),118(a,1,1)),flip(a)]. 4379 R(x,K(y,y \ 1),z) = x. [para(1441(a,1),4374(a,1,2))]. 4383 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(3673,a,4377,a),flip(a)]. 4384 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3578,a,4377,a),flip(a)]. 4386 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(240,a,3597,a(flip),b,4377,a(flip)),flip(a)]. 4387 R(x,y,K(z,1 / z)) = x. [para(65(a,1),4377(a,1,3,1))]. 4388 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4377(a,1),118(a,1,1)),flip(a)]. 4389 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4377(a,1),393(a,1,1)),flip(a)]. 4391 R(x,y,K(z,z \ 1)) = x. [para(1441(a,1),4377(a,1,3))]. 4392 R(x,y,K(1 / z,z)) = x. [para(1506(a,2),4377(a,1,3))]. 4393 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4377(a,1),2954(a,1,1))]. 4394 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4379(a,1),118(a,1,1)),flip(a)]. 4395 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4387(a,1),118(a,1,1)),flip(a)]. 4396 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(2681,a,4391,a)]. 4400 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4391(a,1),118(a,1,1)),flip(a)]. 4402 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4391(a,1),2976(a,1,1))]. 4403 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4392(a,1),118(a,1,1)),flip(a)]. 4405 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4392(a,1),505(a,1,1))]. 4407 T(x,y * K(z,z \ 1)) = T(x,y). [para(1441(a,1),4384(a,1,2,2))]. 4408 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2268(a,1),4384(a,1,2))]. 4409 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2512(a,1),4384(a,1,2)),flip(a)]. 4411 T(x,K(y \ 1,y) * z) = T(x,z). [para(2894(a,2),4384(a,1,2))]. 4412 T(x,K(y,y \ 1) * z) = T(x,z). [para(2939(a,1),4384(a,1,2)),flip(a)]. 4413 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2900(a,1),4384(a,1,2)),flip(a)]. 4414 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2938(a,1),4384(a,1,2))]. 4415 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2951(a,1),4384(a,1,2))]. 4416 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(62(a,1),4396(a,1,3)),flip(a)]. 4417 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(240,a,3484,a(flip),b,4407,a)]. 4420 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2966(a,1),4407(a,1,2))]. 4422 T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). [para(943(a,1),4411(a,1,2)),flip(a)]. 4424 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2013(a,1),4412(a,1,2))]. 4425 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4416(a,1),118(a,1,1))]. 4427 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4383(a,1),4212(a,1,2,1))]. 4428 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3375(a,1),4413(a,2,2))]. 4429 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(240,a,661,a(flip),b,4414,a(flip))]. 4430 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(3323(a,2),4414(a,1,2,1))]. 4431 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3374(a,1),4415(a,1,2)),flip(a)]. 4432 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4429,a)]. 4433 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2896,a,4389,a)]. 4434 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3634,a,4378,a)]. 4438 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(240,a,3596,a,b,4386,a),flip(a)]. 4439 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [hyper(240,a,3543,a(flip),b,4386,a)]. 4440 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2894(a,2),4386(a,1,2))]. 4441 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4439(a,1),3484(a,1,2,1)),flip(a)]. 4442 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2896,a,4388,a)]. 4443 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(438,a,4388,a)]. 4445 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4388(a,1),3567(a,1,1))]. 4446 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4388(a,1),3639(a,1,1))]. 4449 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(240,a,2898,a(flip),b,4443,a(flip)),flip(a)]. 4453 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(240,a,1310,a,b,4449,a(flip)),flip(a)]. 4454 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(240,a,2894,a,b,4393,a)]. 4455 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(240,a,3604,a,b,4393,a(flip)),flip(a)]. 4456 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1469(a,1),4393(a,1,2)),flip(a)]. 4457 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4456(a,1),4384(a,1,2)),flip(a)]. 4458 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [para(4457(a,1),122(a,1,2))]. 4459 L(x,K(y,y \ 1),z) = x. [hyper(438,a,4394,a)]. 4460 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(240,a,3539,a(flip),b,4394,a(flip)),flip(a)]. 4463 L(x,y * (1 / y),z) = x. [para(1440(a,1),4459(a,1,2))]. 4465 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3598,a(flip),b,4395,a)]. 4466 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(240,a,2910,a,b,4395,a(flip)),flip(a)]. 4467 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3161,a,4400,a)]. 4469 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(438,a,4400,a)]. 4470 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(240,a,2430,a,b,4469,a(flip)),flip(a)]. 4472 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4469(a,1),230(a,1,2))]. 4473 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(73,a,4467,a(flip),b,1440,a(flip))]. 4475 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(73,a,4473,a(flip),b,1455,a(flip)),flip(a)]. 4478 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2767,a,4434,a)]. 4483 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4434(a,2),28(a,2,2,2)),flip(a)]. 4486 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4434(a,1),4393(a,1,2))]. 4487 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2563(a,1),4438(a,2,2))]. 4488 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(240,a,3604,a,b,4454,a(flip)),flip(a)]. 4489 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(240,a,3605,a(flip),b,4454,a(flip))]. 4490 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2755(a,1),4455(a,1,1)),flip(a)]. 4491 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4455(a,2),4384(a,1,2))]. 4492 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2745(a,1),4491(a,1,2,1)),flip(a)]. 4493 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2969(a,1),4491(a,1,2,1))]. 4494 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [hyper(374,a,4460,a),flip(a)]. 4495 x * (K(y,y \ 1) * (x \ z)) = K(y,y \ 1) * z. [hyper(310,a,4460,a),flip(a)]. 4497 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4460(a,2),24(a,2,2,1)),flip(a)]. 4498 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2755(a,1),4460(a,2,2))]. 4499 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2968(a,1),4460(a,2,2))]. 4500 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2969(a,1),4460(a,2,2))]. 4501 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4460(a,1),4402(a,1,2))]. 4502 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4460(a,1),4455(a,1,1))]. 4503 ((x \ 1) \ y) * K(z \ 1,z) = (x \ K(z,z \ 1)) \ y. [para(4494(a,1),4455(a,1,1)),flip(a)]. 4504 K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). [para(4494(a,1),4460(a,2,2))]. 4505 K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. [para(2969(a,1),4488(a,1,1)),flip(a)]. 4506 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3695(a,1),4488(a,1,1)),flip(a)]. 4512 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4213,a,4427,a)]. 4513 T(x * (y / x),z) = x * (T(y,z) / x). [para(4512(a,1),14(a,1,2)),flip(a)]. 4514 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4512(a,1,2,1,2)),flip(a)]. 4515 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(62(a,1),4512(a,1,2,1,2))]. 4517 T((x \ y) * x,z) / x = x \ T(y,z). [para(61(a,1),4512(a,1,2,1)),flip(a)]. 4518 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4512(a,1),180(a,1,2,2))]. 4523 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(4120(a,2),4512(a,1,2,1))]. 4524 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4513(a,1,1,2)),flip(a)]. 4528 T(x * (y / x),K(y,z)) = x * (y / x). [para(3024(a,1),4513(a,2,2,1))]. 4529 T(x * (y / x),K(z,y)) = x * (y / x). [para(3190(a,1),4513(a,2,2,1))]. 4530 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(240,a,864,a,b,4514,a),flip(a)]. 4531 (x \ T(x * y,z)) * x = T(y * x,z). [para(4514(a,1),16(a,1,1))]. 4532 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4514(a,1),124(a,1,1))]. 4533 (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. [para(4514(a,1),906(a,1))]. 4534 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4514(a,1),3778(a,1,2))]. 4535 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4517(a,1),16(a,1,1)),flip(a)]. 4536 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4517(a,1),124(a,1,1)),flip(a)]. 4541 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4524(a,1),4195(a,1,2)),flip(a)]. 4542 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4528,a)]. 4543 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4542(a,1,2,2))]. 4548 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4535(a,2),20(a,1))]. 4549 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4535(a,1),122(a,1,2))]. 4550 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(124(a,1),4535(a,2,1,2))]. 4551 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4535(a,2),100(a,1,1))]. 4553 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4543(a,1),231(a,1,2))]. 4554 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(124(a,1),4518(a,1,2,2,1)),flip(a)]. 4555 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(176(a,1),4518(a,1,2,2,1)),flip(a)]. 4556 T(x \ T(x * y,y),x) != z | R(y,x,y) = z. [para(4532(a,2),4177(a,1))]. 4558 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(240,a,4090,a(flip),b,4549,a(flip))]. 4559 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(124(a,1),4549(a,1,2,1,2)),flip(a)]. 4561 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4550(a,1),177(a,1,1,2))]. 4562 x * ((y \ (x \ z)) * y) != u | ((y \ (z / x)) * y) * x = u. [para(4550(a,1),231(a,1,2))]. 4564 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(240,a,1026,a(flip),b,4515,a)]. 4565 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1578(a,1),4530(a,2,1,1))]. 4566 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(3822,a,4554,a),flip(a)]. 4567 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(171(a,2),4554(a,2,2,2,1))]. 4568 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(240,a,4092,a(flip),b,4558,a(flip))]. 4569 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(240,a,3709,a,b,4559,a(flip)),flip(a)]. 4570 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(172(a,2),4559(a,1,1,1,2))]. 4571 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4561(a,1),226(a,1,1)),flip(b)]. 4573 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4453(a,1),14(a,1,2))]. 4575 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1456(a,1),4487(a,1,1)),flip(a)]. 4576 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2962,a,4490,a)]. 4577 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(4500(a,1),4412(a,1,2))]. 4578 ((x \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. [hyper(2572,a,4503,a)]. 4579 K(x,x \ 1) * (y \ (z * (u \ 1))) = y \ (z * (u \ K(x,x \ 1))). [hyper(73,a,4504,a(flip),b,4495,a),flip(a)]. 4581 T(x,x \ 1) \ ((y * (x \ 1)) \ z) = x \ ((y * (1 / x)) \ z). [para(4505(a,1),2785(a,1,2)),flip(a)]. 4582 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(240,a,1233,a,b,4534,a(flip)),flip(a)]. 4583 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2580,a,4573,a)]. 4584 (L(x \ 1,y,z) \ (x \ 1)) * K(x,x \ 1) = (L(x \ 1,y,z) \ 1) * (x \ 1). [para(1507(a,1),4573(a,1,2))]. 4585 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4573(a,1),2510(a,1,1))]. 4586 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(182,a,1304,a,b,4583,a)]. 4587 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(4586(a,2),3452(a,1,2))]. 4588 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4425(a,1),20(a,1))]. 4590 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3697(a,2),4417(a,1,2))]. 4591 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(75,a,4445,a(flip),b,118,a)]. 4592 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3623,a,4446,a),flip(a)]. 4593 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4486(a,2,1))]. 4594 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(669,a,4501,a),flip(a)]. 4595 (1 / x) * (R(1 / x,y,z) \ u) = (x \ 1) * (R(x \ 1,y,z) \ u). [para(4506(a,1),2746(a,1,2))]. 4596 (x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y). [hyper(240,a,2178,a(flip),b,4581,a(flip)),flip(a)]. 4597 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4571,a,4582,a)]. 4599 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3543(a,1),4590(a,1,2,1))]. 4600 (x \ 1) * (R(x \ 1,x,y) \ z) = (1 / x) * ((y / (x * y)) \ z). [para(172(a,1),4595(a,1,2,1)),flip(a)]. 4601 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(4600(a,1),658(a,2,1))]. 4602 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4403(a,1),4405(a,1,2))]. 4603 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(240,a,4483,a(flip),b,4593,a(flip)),flip(a)]. 4604 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(240,a,2894,a,b,4603,a)]. 4605 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2941(a,1),4604(a,1,1)),flip(a)]. 4606 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2959,a,4605,a),flip(a)]. 4607 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2767,a,4605,a),flip(a)]. 4608 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(240,a,2979,a(flip),b,4605,a(flip)),flip(a)]. 4609 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [hyper(75,a,4605,a(flip),b,2979,a(flip)),flip(a)]. 4611 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4608(a,1),61(a,1,2,1)),flip(a)]. 4612 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),4608(a,1,1,2,1)),flip(a)]. 4613 L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). [para(3237(a,1),4609(a,1,2,1)),flip(a)]. 4614 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4612(a,1),106(a,1,2))]. 4616 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(456(a,1),4612(a,2,1,2))]. 4617 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(454(a,1),4612(a,2,1,2))]. 4618 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1869(a,1),4606(a,1,1)),flip(a)]. 4619 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2260(a,1),4606(a,2,2))]. 4620 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4618(a,1),3601(a,1,1)),flip(a)]. 4621 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4618(a,1),3602(a,1,1))]. 4622 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2489(a,1),4607(a,1,1)),flip(a)]. 4623 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4607(a,2),4402(a,1,2))]. 4624 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(240,a,2011,a(flip),b,4622,a(flip)),flip(a)]. 4625 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(123(a,1),4624(a,2,1))]. 4626 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(81,a,4625,a)]. 4628 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(240,a,1512,a,b,4626,a(flip)),flip(a)]. 4629 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2123,a,4628,a)]. 4630 L(x,y,z) / x = x \ L(x,y,z). [hyper(90,a,4629,a)]. 4631 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [hyper(18,a,1603,a,b,4629,a)]. 4632 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1632,a,4630,a)]. 4638 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(240,a,1319,a(flip),b,4620,a(flip)),flip(a)]. 4639 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (y \ (x * 1)) \ ((x \ y) \ 1). [para(454(a,1),4621(a,2,1))]. 4640 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(4621(a,1),464(a,1,2,1))]. 4641 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(235(a,1),4614(a,1,2,1,2))]. 4642 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(73,a,4616,a(flip),b,199,a),flip(a)]. 4644 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(240,a,4597,a(flip),b,4642,a(flip)),flip(a)]. 4645 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4644(a,1),16(a,1,1))]. 4646 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4644(a,1),226(a,1,1)),flip(b)]. 4648 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4403(a,1),4602(a,1,2,2))]. 4649 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(449,a,4648,a)]. 4650 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3640(a,1),4441(a,1,2,1)),flip(a)]. 4651 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(240,a,4599,a(flip),b,4650,a(flip))]. 4653 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2260(a,1),4619(a,1,1,2))]. 4654 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(240,a,4554,a(flip),b,4567,a(flip))]. 4655 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3703(a,2),4570(a,1,1))]. 4656 (x \ (y * 1)) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). [hyper(240,a,2307,a(flip),b,4639,a(flip))]. 4657 (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [para(12(a,1),4656(a,1,1,2)),flip(a)]. 4658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4611(a,2),4654(a,1,2))]. 4659 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(233,a,4655,a),flip(a)]. 4660 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(230,a,4658,a),flip(a)]. 4661 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4554(a,1),4566(a,2,1))]. 4662 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),4661(a,1,1,2)),flip(a)]. 4664 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3567(a,1),4591(a,1,2))]. 4665 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4478(a,1),4592(a,1,2)),flip(a)]. 4666 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(240,a,28,a,b,4665,a)]. 4668 L(x,1 / y,z) = L(x,y \ 1,z). [para(1115(a,1),4666(a,1,2)),flip(a)]. 4669 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1412(a,1),4666(a,1,2)),flip(a)]. 4670 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1416(a,1),4666(a,1,2)),flip(a)]. 4671 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2512(a,1),4666(a,1,2)),flip(a)]. 4672 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2894(a,2),4666(a,1,2))]. 4673 L(x,y \ 1,T(z,z \ u)) = L(x,1 / y,(z \ u) \ u). [hyper(1920,a,4668,a),flip(a)]. 4675 L(x,L(1 / y,z,u),w) = L(x,L(y \ 1,z,u),w). [para(2441(a,1),4669(a,1,2)),flip(a)]. 4677 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(4670(a,1),106(a,1,2))]. 4678 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(240,a,4251,a(flip),b,4673,a(flip))]. 4679 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(4677(a,1),19(a,1)),flip(a)]. 4680 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(240,a,4440,a(flip),b,4664,a(flip)),flip(a)]. 4681 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3686(a,1),4680(a,1,2))]. 4682 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(240,a,3694,a(flip),b,4681,a(flip))]. 4684 R(x,1 / y,z) = R(x,y \ 1,z). [para(1115(a,1),4682(a,1,2)),flip(a)]. 4685 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1412(a,1),4682(a,1,2)),flip(a)]. 4686 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(4684(a,1),3488(a,1,2))]. 4687 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(4685(a,1),118(a,1,1))]. 4689 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(4687(a,1),20(a,1))]. 4690 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2736(a,1),4686(a,1,2,1))]. 4691 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4294(a,1),4690(a,1,2,1)),flip(a)]. 4692 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3542(a,1),4497(a,1,1,2))]. 4693 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4460(a,2),4594(a,1,1,1,2))]. 4694 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3542(a,1),4692(a,1,2))]. 4695 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4502(a,1),4693(a,1,1))]. 4696 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(240,a,4402,a(flip),b,4694,a(flip)),flip(a)]. 4697 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),4695(a,1,1,1))]. 4698 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(2570,a,4697,a)]. 4700 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(240,a,4594,a,b,4698,a(flip)),flip(a)]. 4701 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1459(a,1),4698(a,1,3))]. 4702 a(x,y,1 / z) = a(x,y,z \ 1). [para(1867(a,1),4698(a,1,3))]. 4703 a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). [para(2755(a,1),4698(a,1,3)),flip(a)]. 4704 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4500(a,1),4698(a,1,3))]. 4706 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2913(a,1),4700(a,1,1,1,2,2))]. 4707 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4502(a,1),4696(a,1,1))]. 4708 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),4707(a,1,1,1))]. 4709 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(2570,a,4708,a)]. 4711 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1459(a,1),4709(a,1,2))]. 4712 a(x,1 / y,z) = a(x,y \ 1,z). [para(1867(a,1),4709(a,1,2))]. 4713 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2913(a,1),4709(a,1,2))]. 4714 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),4662(a,2,2,2,1,1,2))]. 4715 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),4714(a,1,2))]. 4716 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(3807(a,1),4640(a,1,2))]. 4717 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(4675(a,1),4716(a,1,2))]. 4718 (x / (1 / y)) * L(1 / y,z,u) != w | (x / (y \ 1)) * L(y \ 1,z,u) = w. [para(4717(a,1),717(a,1))]. 4719 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3245(a,1),3615(a,2,1))]. 4720 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3605(a,1),4719(a,1,2,1)),flip(a)]. 4721 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3322(a,1),4720(a,2,2))]. 4722 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(240,a,263,a(flip),b,4721,a),flip(a)]. 4723 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4296(a,1),4722(a,2,1,2))]. 4724 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(240,a,4149,a(flip),b,4723,a)]. 4725 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4724(a,1),4287(a,1,2)),flip(a)]. 4726 ((x \ y) * x) / y = y / (x * (y / x)). [para(4284(a,1),4725(a,1,1))]. 4727 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(240,a,3992,a(flip),b,4726,a)]. 4728 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(240,a,4568,a,b,4727,a(flip)),flip(a)]. 4729 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4728(a,1),4263(a,2,2))]. 4730 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(240,a,4617,a(flip),b,4729,a(flip)),flip(a)]. 4731 x * (y \ (x / (x / y))) = (y \ x) * y. [para(128(a,1),4730(a,1,1,2)),flip(a)]. 4732 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,263,a,b,4731,a)]. 4734 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(240,a,4728,a,b,4732,a(flip)),flip(a)]. 4735 x / (x / y) = y * K(y \ x,y). [para(4732(a,1),14(a,1,2)),flip(a)]. 4738 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(240,a,3375,a(flip),b,4735,a),flip(a)]. 4739 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4735(a,2,2,1))]. 4740 (x * K(x \ y,x)) * (y / x) = y. [para(4735(a,1),16(a,1,1))]. 4742 (x * K(x \ y,x)) \ y = y / x. [para(4735(a,1),65(a,1,1))]. 4744 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4735(a,1),4215(a,1,2))]. 4746 K(x,y) = T(y,x) \ y. [hyper(3770,a,4739,a),flip(a)]. 4747 K(x \ (x / y),x) = K(y \ 1,x). [hyper(240,a,3905,a,b,4746,a),flip(a)]. 4748 K(x,y) = ((y * x) / y) \ x. [hyper(240,a,3723,a,b,4746,a)]. 4749 K(x,y) = (1 / T(y,x)) * y. [hyper(240,a,3179,a,b,4746,a)]. 4750 K(x,y) = y / T(y,x). [hyper(240,a,3177,a,b,4746,a)]. 4751 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(240,a,3093,a,b,4746,a),flip(a)]. 4752 K(x,y) = y * (T(y,x) \ 1). [hyper(240,a,988,a,b,4746,a)]. 4753 K(x,y) = x \ T(x,y). [hyper(240,a,3912,a(flip),b,4746,a)]. 4754 x * T(x \ 1,y) = K(x \ 1,y). [hyper(240,a,3903,a(flip),b,4746,a),flip(a)]. 4756 K(x,y) / y = 1 / T(y,x). [hyper(75,a,4746,a,b,3179,a)]. 4757 T(x,y) \ 1 = x \ K(y,x). [hyper(73,a,4746,a,b,988,a),flip(a)]. 4758 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(4073,a,4746,a(flip)),flip(a)]. 4759 T(x,y) * K(y,x) = x. [para(4746(a,2),14(a,1,2))]. 4760 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4746(a,2,1)),flip(a)]. 4761 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4746(a,2,1)),flip(a)]. 4762 T(x,y) = x / K(y,x). [para(4746(a,2),62(a,1,2)),flip(a)]. 4766 ((x \ y) \ y) * K(x \ y,x) = x. [para(4746(a,2),313(a,1,2))]. 4767 x \ K(y,x) != z | T(x,y) \ 1 = z. [para(4746(a,2),1000(a,1,2))]. 4768 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4746(a,2),3095(a,1,2))]. 4769 K(x,y) * T(y,x) = y. [para(4746(a,2),3181(a,1,1))]. 4770 T(x,y) = K(y,x) \ x. [para(4746(a,2),3182(a,1,1)),flip(a)]. 4771 T(x,y) = (K(y,x) / x) \ 1. [para(4746(a,2),3188(a,1,1,1)),flip(a)]. 4772 K(x,y) * ((y * x) / y) = x. [para(4746(a,2),3724(a,1,1))]. 4773 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4746(a,2),3852(a,2,1))]. 4774 K(x,y) * (y * x) = x * y. [para(4746(a,2),3854(a,1,1))]. 4776 (x * y) / x = y * K(x,y). [para(4746(a,2),3915(a,2,2))]. 4777 T(x * K(y,x),y) = x. [para(4746(a,2),3975(a,1,1,2))]. 4779 x * (K(x,y) * z) = T(x,y) * z. [para(4746(a,2),3916(a,1,2,1))]. 4780 T(x,y) * (x \ z) = K(x,y) * z. [para(4746(a,2),3917(a,2,1))]. 4781 K(x / y,z) * x = y * T(y \ x,z). [para(4746(a,2),3993(a,1,1))]. 4782 x * (T(x,y) \ z) = K(y,x) * z. [para(4746(a,2),4099(a,1,1)),flip(a)]. 4783 K(x,y) * (T(y,x) * z) = y * z. [para(4746(a,2),4100(a,1,1))]. 4784 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4746(a,2),4102(a,1,1))]. 4785 K(x,y) \ y != z | T(y,x) = z. [para(4750(a,2),250(a,1,1)),flip(b)]. 4787 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4407(a,1),4750(a,2,2))]. 4788 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(401,a,4753,a,b,983,a),flip(a)]. 4789 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(240,a,3722,a,b,4753,a)]. 4790 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(240,a,3720,a,b,4753,a),flip(a)]. 4791 K(x,y) = y \ ((x * y) / x). [hyper(240,a,3717,a,b,4753,a)]. 4792 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(240,a,3245,a,b,4753,a)]. 4793 K(x,y) = (1 / x) * T(x,y). [hyper(240,a,3244,a,b,4753,a)]. 4794 K(x,y) = T(x,y) / x. [hyper(240,a,3239,a,b,4753,a)]. 4795 K(x,y) = T(x,y) * (x \ 1). [hyper(240,a,983,a,b,4753,a)]. 4796 x * T(x \ 1,y) = K(1 / x,y). [hyper(240,a,1057,a(flip),b,4753,a),flip(a)]. 4798 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(73,a,4753,a,b,3722,a)]. 4799 T(x,y) \ K(x,y) = x \ 1. [hyper(73,a,4753,a,b,983,a)]. 4800 T(x,y) = x * K(x,y). [para(4753(a,2),14(a,1,2)),flip(a)]. 4801 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4753(a,2,2)),flip(a)]. 4802 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4753(a,2,2)),flip(a)]. 4803 x * K(x,y) != z | T(x,y) = z. [para(4753(a,2),224(a,1,2)),flip(b)]. 4806 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4753(a,2),1159(a,1,1))]. 4807 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1788(a,1),4753(a,2,2))]. 4808 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2453(a,1),4753(a,2,2))]. 4809 T(x,y) = K(x,y) * x. [para(4753(a,2),3241(a,1,1)),flip(a)]. 4810 K(x,y) * x != z | T(x,y) = z. [para(4753(a,2),3246(a,1,1))]. 4811 (x * K(y,x)) * y = y * x. [para(4753(a,2),3713(a,1,1,2))]. 4812 T(x,y) * K(y,T(x,y)) = x. [para(4753(a,2),3716(a,1,2))]. 4813 (x \ y) * K(x,x \ y) = y / x. [para(4753(a,2),3715(a,1,2))]. 4814 (T(x,y) * z) / (K(x,y) * z) = x. [para(4753(a,2),3831(a,1,2,1))]. 4815 K(x,y) * (x * z) = T(x,y) * z. [para(4753(a,2),3833(a,1,1))]. 4818 K(x,x \ y) * y = x * (y / x). [para(4753(a,2),4149(a,1,1))]. 4819 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4407(a,1),4753(a,2,2))]. 4821 (x \ y) * K(x,y / x) = y / x. [para(124(a,1),4759(a,1,1))]. 4822 T(x,y) \ x != z | K(y,x) = z. [para(4759(a,1),241(a,1,2)),flip(b)]. 4825 T(1 / x,y) * K(y,x \ 1) = 1 / x. [para(3451(a,1),4759(a,1,2))]. 4826 ((x \ y) \ y) * K(y / x,x) = x. [para(3947(a,1),4759(a,1,1))]. 4827 T(x,y) * (x \ y) = y * K(x,y). [para(4759(a,1),4145(a,1,2,2))]. 4828 x * (y * K(x,y)) = T(x,y) * y. [para(4759(a,1),4148(a,1,2)),flip(a)]. 4829 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4762(a,2),1533(a,1,1)),flip(a)]. 4830 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3453(a,1),4762(a,2,2)),flip(a)]. 4832 K(x,y / x) * (x \ y) = y / x. [para(124(a,1),4769(a,1,2))]. 4833 x / T(x,y) != z | K(y,x) = z. [para(4769(a,1),299(a,1,1)),flip(b)]. 4834 K(x,y) * z != y * L(u,T(y,x),K(x,y)) | T(y,x) * u = z. [para(4769(a,1),439(a,1,1)),flip(a)]. 4835 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(240,a,3991,a,b,4770,a),flip(a)]. 4836 T(x,y) = 1 / (x \ K(y,x)). [hyper(240,a,3473,a,b,4770,a)]. 4837 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4770(a,2),2319(a,1,2,1))]. 4838 T(T(x * K(y,x),z),y) = T(x,z). [para(4777(a,1),38(a,1,1)),flip(a)]. 4839 (x * K(y,x)) \ (y * x) = y. [para(4777(a,1),178(a,1,2,2))]. 4840 (x * y) / x != z | y * K(x,y) = z. [para(4777(a,1),301(a,1,1,2)),flip(b)]. 4841 T(x * K(y,x),z) * y = y * T(x,z). [para(4777(a,1),191(a,1,2,1)),flip(a)]. 4842 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4777(a,1),214(a,1,1,2,1)),flip(a)]. 4843 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4777(a,1),192(a,1,2,1)),flip(a)]. 4844 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4777(a,1),193(a,1,2,1)),flip(a)]. 4846 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4777(a,1),607(a,1,2,1)),flip(a)]. 4847 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4777(a,1),2842(a,1,2,2)),flip(a)]. 4848 T(K(x,y) * y,x) = y. [para(3191(a,2),4777(a,1,1))]. 4849 T(x \ K(y,x \ 1),y) = x \ 1. [para(3375(a,1),4777(a,1,1))]. 4850 T(x,y * K(x,y)) = T(x,y). [para(4777(a,1),3919(a,1,2)),flip(a)]. 4851 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4777(a,1),3926(a,1,2,1)),flip(a)]. 4858 T(x,y) != x * z | K(x,y) = z. [para(4800(a,2),19(a,1))]. 4859 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4800(a,2),30(a,2,2)),flip(a)]. 4860 x \ T(x,y) != z | K(x,y) = z. [para(4800(a,2),241(a,1,2)),flip(b)]. 4861 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4800(a,2),106(a,2,2))]. 4864 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4800(a,2),472(a,2,2))]. 4865 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(4800(a,2),947(a,2,2,1))]. 4866 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4800(a,1),2925(a,2,2))]. 4867 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(421,a,4809,a),flip(a)]. 4869 K(x / y,y) * (x / y) = y \ x. [hyper(387,a,4809,a),flip(a)]. 4870 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(240,a,40,a,b,4809,a(flip))]. 4872 x * (K(y,x) * y) = y * x. [para(4809(a,1),122(a,1,2))]. 4875 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4809(a,2),189(a,1,1))]. 4876 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(4809(a,2),501(a,1,1))]. 4878 (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. [para(4809(a,2),438(a,2,2))]. 4879 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4809(a,2),472(a,2,2))]. 4880 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4809(a,2),769(a,1,2))]. 4881 T(x,y) != z | x * K(x,y) = z. [para(4809(a,2),3029(a,1))]. 4882 (x * y) / x = K(x,y) * y. [para(4848(a,1),177(a,1,1,2))]. 4884 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(73,a,4748,a,b,1343,a),flip(a)]. 4886 T((x * y) / x,z) \ T(y,z) = K(T(y,z),x). [para(416(a,1),4748(a,2,1)),flip(a)]. 4889 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3661(a,1),4749(a,2,1,2))]. 4890 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4752(a,2),28(a,2,2,2)),flip(a)]. 4891 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4752(a,2),107(a,1,2,2)),flip(a)]. 4894 L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. [para(4756(a,2),2541(a,2,1,2))]. 4895 x * (T(x,y) \ 1) != z | K(y,x) = z. [para(4757(a,2),224(a,1,2)),flip(b)]. 4896 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4757(a,1),298(a,1,2)),flip(b)]. 4897 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),T(y,z) \ 1). [para(4757(a,1),203(a,1,2))]. 4898 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4757(a,1),1971(a,1,2,1))]. 4899 K(x,y) = x / ((y * x) / y). [hyper(90,a,4772,a),flip(a)]. 4900 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4772(a,1,2,1))]. 4903 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(94(a,1),4772(a,1,2,1))]. 4905 K(x \ y,x) * y = (x \ y) * x. [hyper(310,a,4774,a)]. 4906 K(x,x \ y) * ((x \ y) * x) = y. [hyper(240,a,14,a(flip),b,4774,a)]. 4907 K(x,y / x) * y = x * (y / x). [para(16(a,1),4774(a,1,2))]. 4908 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(4774(a,1),28(a,2,1)),flip(a)]. 4909 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(106(a,1),4774(a,1,2))]. 4910 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4774(a,1),442(a,1,1))]. 4911 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4255,a,4776,a),flip(a)]. 4912 x \ T(x * y,y) = y * K(x * y,y). [hyper(4218,a,4776,a)]. 4913 x / (x / y) = y * K(x / y,y). [hyper(388,a,4776,a)]. 4914 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(240,a,3462,a(flip),b,4776,a),flip(a)]. 4915 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(240,a,3457,a(flip),b,4776,a),flip(a)]. 4916 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(73,a,4776,a,b,985,a)]. 4917 T(x,y) / (y \ x) = y * K(x,y). [hyper(240,a,1026,a,b,4776,a(flip)),flip(a)]. 4918 x \ ((y * x) / y) != z | K(y,x) = z. [para(4776(a,2),241(a,1,2)),flip(b)]. 4919 T(x * K(y,x),y) != z | z = x. [para(4776(a,1),256(a,1,1))]. 4920 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4776(a,1),301(a,1))]. 4921 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(118(a,1),4776(a,1,1))]. 4922 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4776(a,1),119(a,1,1))]. 4924 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4776(a,2),469(a,1,2))]. 4925 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4776(a,1),488(a,1,1))]. 4926 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4776(a,1),660(a,1,1,1))]. 4927 T(x * K(y * x,x),y) = R(x,y,x). [para(4776(a,1),728(a,2,1)),flip(a)]. 4928 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4776(a,1),785(a,1,1))]. 4929 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4776(a,1),793(a,1,1))]. 4930 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4776(a,1),881(a,1,1,1))]. 4931 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4776(a,1),786(a,1,1))]. 4932 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1599(a,1),4776(a,1,1))]. 4933 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4776(a,1),1624(a,2,1)),flip(a)]. 4935 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1726(a,1),4776(a,1,1))]. 4936 K(x,y) = (1 / y) * ((x * y) / x). [para(4776(a,2),3376(a,1,2)),flip(a)]. 4937 T(x * K(y,x),y * x) = L(x,y,x). [para(4776(a,1),4191(a,1,1))]. 4940 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4791(a,2,2,1)),flip(a)]. 4944 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4791(a,2),1591(a,1,2)),flip(a)]. 4945 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(4793(a,2),2900(a,1,1))]. 4946 K(1 / x,y) / x = T(1 / x,y). [hyper(314,a,4795,a(flip))]. 4947 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4795(a,2),449(a,1,2,2))]. 4949 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1737,a,b,4811,a)]. 4950 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(4811(a,1),24(a,2,1,2)),flip(a)]. 4951 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4811(a,1),94(a,1,1))]. 4952 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(3022(a,1),4811(a,1,1,2))]. 4953 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3375(a,1),4811(a,1,1))]. 4954 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4811(a,1),4053(a,1,1,2))]. 4955 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4811(a,1),4575(a,1,2)),flip(a)]. 4956 K(x,T(y,x)) = K(x,y). [hyper(17,a,4759,a,b,4812,a)]. 4957 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4956(a,1,2))]. 4958 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4956(a,1,2))]. 4959 K(x,y / x) = K(x,x \ y). [para(124(a,1),4956(a,1,2)),flip(a)]. 4960 K(x,(x * y) / x) = K(x,y). [para(176(a,1),4956(a,1,2)),flip(a)]. 4962 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(196(a,1),4956(a,1,2)),flip(a)]. 4963 K(x,y * K(x,y)) = K(x,y). [para(4777(a,1),4956(a,1,2)),flip(a)]. 4964 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(75,a,895,a,b,4882,a(flip))]. 4965 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(75,a,4143,a(flip),b,4882,a(flip))]. 4966 K(x,x \ y) * (x \ y) = y / x. [para(14(a,1),4882(a,1,1)),flip(a)]. 4967 ((x * y) / x) / y != z | K(x,y) = z. [para(4882(a,2),299(a,1,1)),flip(b)]. 4968 K(x,y) / x = 1 / ((y * x) / y). [hyper(75,a,4899,a,b,1366,a)]. 4971 x / (y / (y / x)) = K(x,x \ y). [para(3974(a,1),4899(a,2,2)),flip(a)]. 4974 x \ (y * (x / y)) = K(y,y \ x). [hyper(240,a,101,a,b,4959,a(flip)),flip(a)]. 4975 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(240,a,4302,a(flip),b,4959,a(flip))]. 4976 x * K(y,y \ x) = y * (x / y). [para(4959(a,1),264(a,1,2))]. 4977 K(x,y) \ 1 = K(y,x). [hyper(240,a,4020,a(flip),b,4960,a(flip)),flip(a)]. 4978 K(T(x,y),y) = K(x,y). [hyper(4035,a,4977,a)]. 4979 K(x,y) * K(y,x) = 1. [para(4977(a,1),14(a,1,2))]. 4980 1 / K(x,y) = K(y,x). [para(4977(a,1),62(a,1,2))]. 4981 x * (K(y,z) * K(z,y)) = x. [para(4977(a,1),56(a,1,2,2))]. 4982 1 / K(x,y) != z | K(y,x) = z. [para(4977(a,1),298(a,1,2)),flip(b)]. 4985 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(4977(a,1),1801(a,2,2,1))]. 4986 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(4977(a,1),1922(a,2,1,2,1))]. 4988 K(x,y) \ x = x * K(y,x). [para(4977(a,1),3401(a,1,2)),flip(a)]. 4989 K(x,T(y,x)) != z | K(x,y) = z. [para(4977(a,1),4029(a,1))]. 4990 K(x,x \ y) != z | K(x,y / x) = z. [para(4977(a,1),4033(a,1))]. 4991 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4977(a,1),4795(a,2,2)),flip(a)]. 4992 T(x,y) \ K(T(x,y),y) = x \ 1. [hyper(73,a,4978,a,b,4795,a(flip))]. 4993 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4978(a,1,1))]. 4994 K(x / y,y) = K(y \ x,y). [para(124(a,1),4978(a,1,1)),flip(a)]. 4995 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(123(a,1),4978(a,1,1))]. 4996 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(624(a,1),4978(a,1,1))]. 4997 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(741(a,1),4978(a,1,1)),flip(a)]. 4998 K(x / (x / y),y \ x) = K(y,y \ x). [para(3976(a,1),4978(a,1,1)),flip(a)]. 4999 K(x,y) \ 1 != z | K(y,x) = z. [para(4978(a,1),4029(a,1,1))]. 5000 K(x * K(y,x),y) = K(x,y). [para(4777(a,1),4978(a,1,1)),flip(a)]. 5001 K(x,y) * z != 1 | K(y,x) = z. [para(4979(a,1),19(a,1)),flip(a)]. 5002 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(4988(a,1),108(a,1,1))]. 5005 (x * (y / x)) \ y = K(x \ y,x). [hyper(240,a,102,a,b,4994,a(flip)),flip(a)]. 5006 x * K(x / y,y) = (y \ x) * y. [para(4994(a,2),263(a,1,2))]. 5011 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3019(a,1),4803(a,1,2))]. 5012 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4822(a,1,1))]. 5013 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4822(a,1,1))]. 5015 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3903(a,1),4822(a,1))]. 5016 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4860(a,1,2))]. 5017 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(590(a,2),4860(a,1,2))]. 5019 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3851(a,2),4860(a,1))]. 5020 x \ T(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(3997(a,2),4860(a,1,2))]. 5024 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4989(a,1,2))]. 5026 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4989(a,1,2))]. 5027 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(966(a,1),4989(a,1,2))]. 5030 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2231,a,4747,a)]. 5031 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(240,a,2211,a,b,4747,a(flip)),flip(a)]. 5032 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(240,a,1938,a,b,4747,a(flip)),flip(a)]. 5033 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(240,a,1328,a(flip),b,4747,a(flip)),flip(a)]. 5034 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(4747(a,1),263(a,1,2)),flip(a)]. 5035 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4747(a,1),1325(a,2,2))]. 5036 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4747(a,1),1327(a,1,2))]. 5037 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4747(a,1),1539(a,1,1))]. 5039 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(974,a,4754,a)]. 5040 T(1 / x,y) * x = K(x \ 1,y). [hyper(415,a,4754,a)]. 5041 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4754(a,1),690(a,2,2))]. 5042 (x / y) * K(y \ 1,z) = x * T(x \ (x / y),z). [para(4754(a,1),856(a,1,2))]. 5043 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4754(a,1),870(a,2,2))]. 5044 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4754(a,1),1140(a,1,1))]. 5046 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4754(a,1),1395(a,2,1))]. 5047 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4754(a,1),2105(a,2,1,2))]. 5050 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4768(a,1),449(a,1,2,2))]. 5051 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(553,a,4779,a),flip(a)]. 5052 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [hyper(544,a,4779,a),flip(a)]. 5053 x \ (T(x,y) * z) = K(x,y) * z. [hyper(81,a,4779,a)]. 5054 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(73,a,4795,a,b,4779,a),flip(a)]. 5055 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(73,a,270,a(flip),b,4779,a)]. 5056 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(73,a,122,a(flip),b,4779,a),flip(a)]. 5057 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(73,a,14,a(flip),b,4779,a),flip(a)]. 5058 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,3994,a,b,4779,a),flip(a)]. 5059 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,980,a,b,4779,a)]. 5060 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4229,a(flip),b,4779,a)]. 5061 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4178,a(flip),b,4779,a)]. 5062 T(x,y) * z != x * u | K(x,y) * z = u. [para(4779(a,1),19(a,1))]. 5064 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4779(a,1),24(a,2,2,1)),flip(a)]. 5065 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2160(a,1),4779(a,1,2))]. 5066 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(240,a,3032,a,b,4780,a)]. 5068 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(240,a,4779,a,b,4780,a(flip)),flip(a)]. 5070 (x * y) / (T(x,z) * y) = K(z,x). [hyper(75,a,4145,a(flip),b,4780,a(flip))]. 5071 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(75,a,979,a(flip),b,4780,a(flip))]. 5072 K(x,y) \ (y * z) = T(y,x) * z. [hyper(73,a,4145,a(flip),b,4780,a(flip))]. 5074 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4780(a,1,2)),flip(a)]. 5076 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4753(a,2),4780(a,1,2)),flip(a)]. 5077 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1051,a,4782,a)]. 5078 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1017,a,4782,a),flip(a)]. 5079 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(81,a,4782,a)]. 5080 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(75,a,4427,a(flip),b,4782,a(flip)),flip(a)]. 5082 T(x,y) * (K(y,x) * z) = x * z. [para(4782(a,1),985(a,1,2))]. 5083 (x * y) / (K(z,x) * y) = T(x,z). [para(4782(a,1),986(a,1,2))]. 5084 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4782(a,1),1017(a,1))]. 5086 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4753(a,2),4782(a,1,2)),flip(a)]. 5089 (x * y) / (T(x,z) * y) != u | K(z,x) = u. [para(4783(a,1),299(a,1,1)),flip(b)]. 5090 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4783(a,1),310(a,1))]. 5091 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(4783(a,1),442(a,1,1)),flip(a)]. 5092 K(x,1 / y) / y = (x * (1 / y)) / x. [hyper(314,a,4789,a(flip))]. 5093 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1267(a,1),4789(a,2,1)),flip(a)]. 5095 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(240,a,1531,a(flip),b,4796,a(flip)),flip(a)]. 5096 K(x,x \ L(x,y,z)) = 1. [hyper(72,a,4630,a(flip),b,4813,a),flip(a)]. 5097 T(x \ y,R(y / x,z,u)) = x \ y. [para(4813(a,1),4333(a,1,2,1))]. 5098 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4814(a,1),226(a,1,1)),flip(b)]. 5099 K(x,y) * (x * z) = x * (K(x,y) * z). [hyper(240,a,4779,a,b,4815,a)]. 5101 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(73,a,122,a(flip),b,4815,a)]. 5102 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4815(a,2,1))]. 5103 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4815(a,1),310(a,1))]. 5104 K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. [para(4815(a,2),517(a,1))]. 5105 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(192(a,1),4815(a,1,2))]. 5106 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(193(a,1),4815(a,1,2))]. 5107 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4815(a,1),442(a,1,1))]. 5109 T(T(x,x * y) * y,x) = x * y. [para(4815(a,1),4848(a,1,1))]. 5110 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(75,a,4513,a,b,4818,a)]. 5111 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4826(a,1),4649(a,1,1)),flip(a)]. 5113 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4835(a,1),3066(a,1,1))]. 5114 T(x,x \ y) / (y \ x) = x * (y / x). [para(4835(a,1),3753(a,1,1))]. 5116 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4884(a,1),2867(a,1,2))]. 5117 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4884(a,1),3998(a,1,2))]. 5118 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4181(a,1),4884(a,1,1)),flip(a)]. 5119 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4776(a,1),4884(a,1,1))]. 5120 K(x \ L(T(x,y),z,u),x) = 1. [hyper(74,a,4613,a,b,4900,a),flip(a)]. 5128 K(x \ L((x \ y) \ y,z,u),x) = 1. [para(123(a,1),5120(a,1,1,2,1))]. 5130 T(K(x \ y,x),y) = K(x \ y,x). [hyper(182,a,4905,a,b,263,a)]. 5131 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4905(a,1),2134(a,2,2))]. 5132 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4302(a,1),4907(a,1,1))]. 5133 (x \ y) * K(x,x \ y) != z | y / x = z. [para(4940(a,1),224(a,1,2)),flip(b)]. 5135 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(753(a,1),4968(a,2,2))]. 5136 1 / (x * K(y,x)) = K(x,y) / x. [para(4776(a,1),4968(a,2,2)),flip(a)]. 5138 x * K(y,y \ x) != z | y * (x / y) = z. [para(4974(a,1),224(a,1,2)),flip(b)]. 5139 K(x * y,(x * y) \ y) = K(x * y,x \ 1). [para(13(a,1),4975(a,1,2,2))]. 5140 K(x,(x / y) \ 1) = K(x,x \ y). [para(65(a,1),4975(a,1,2,2)),flip(a)]. 5141 T(x,K(y,y \ x)) = x. [hyper(182,a,4976,a,b,4818,a)]. 5143 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4976(a,1),28(a,2,1)),flip(a)]. 5144 (x * y) * R(1 / x,x,y) = y * K(x * y,(x * y) \ y). [para(172(a,2),4976(a,2,2)),flip(a)]. 5145 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(4976(a,1),468(a,1,2))]. 5146 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(75,a,549,a(flip),b,5040,a),flip(a)]. 5147 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(240,a,270,a(flip),b,5040,a(flip))]. 5149 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(240,a,4799,a(flip),b,5051,a)]. 5151 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5053(a,1),1008(a,1))]. 5152 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1516,a,5054,a)]. 5154 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5057(a,1),19(a,1))]. 5157 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),5070(a,1,2,1))]. 5158 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5071(a,1,2,1))]. 5160 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5077(a,1,1))]. 5161 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5077(a,1),224(a,1,2)),flip(b)]. 5162 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5077(a,1),298(a,1,2)),flip(b)]. 5163 ((x \ y) \ y) * (K(x \ y,x) * z) = x * z. [para(5077(a,1),313(a,1,2))]. 5164 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4759(a,1),5077(a,1,2)),flip(a)]. 5165 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4800(a,2),5077(a,1,2))]. 5166 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5077(a,1),4782(a,1,2)),flip(a)]. 5167 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(240,a,4799,a(flip),b,5078,a)]. 5168 K(x,y) * (y \ x) = y \ T(x,y). [hyper(240,a,3924,a(flip),b,5078,a)]. 5170 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(75,a,4799,a(flip),b,5078,a)]. 5171 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5078(a,2),4782(a,1,2))]. 5176 K(x \ y,x) * (x * (y / x)) = y. [hyper(4155,a,5082,a)]. 5177 K(x,y) * (x / y) = x / T(y,x). [hyper(17,a,4238,a,b,5082,a)]. 5178 K(x,y) * (K(y,x) * z) = z. [hyper(17,a,4779,a(flip),b,5082,a)]. 5180 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5082(a,1),241(a,1,2)),flip(b)]. 5181 (x * (y * z)) \ ((T(x,u) * (K(u,x) * y)) * L(z,y,K(u,x))) = a(T(x,u),K(u,x) * y,L(z,y,K(u,x))). [para(5082(a,1),440(a,1,1))]. 5182 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(544,a,5178,a)]. 5183 K(x,y) \ z = K(y,x) * z. [hyper(310,a,5178,a),flip(a)]. 5184 x / (K(y,z) * x) = K(z,y). [hyper(90,a,5178,a)]. 5185 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(17,a,3580,a,b,5178,a)]. 5186 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(17,a,2160,a,b,5178,a)]. 5187 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(17,a,679,a,b,5178,a)]. 5188 K(x,y) * (T(x,z) * K(y,x)) = T(x,z). [hyper(17,a,3197,a(flip),b,5178,a)]. 5189 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,2160,a(flip),b,5178,a)]. 5190 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(401,a,5178,a(flip),b,91,a(flip)),flip(a)]. 5191 K(x,y) * z != u | K(y,x) * u = z. [para(5178(a,1),19(a,1)),flip(a)]. 5192 x * (K(y,z) * u) != u | K(z,y) = x. [para(5178(a,1),20(a,1)),flip(a)]. 5193 K(x,y) \ z != u | K(y,x) * z = u. [para(5178(a,1),241(a,1,2)),flip(b)]. 5194 x / (K(y,z) * x) != u | K(z,y) = u. [para(5178(a,1),299(a,1,1)),flip(b)]. 5195 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5178(a,1),108(a,2,1))]. 5196 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5178(a,1),108(a,2,2))]. 5197 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5178(a,1),118(a,1,2))]. 5198 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(5178(a,1),544(a,1))]. 5199 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(240,a,3202,a,b,5183,a)]. 5200 K(x,y) * (K(y,x) * z) != u | u = z. [para(5183(a,1),224(a,1,2))]. 5202 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5183(a,1),235(a,1,1))]. 5204 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5183(a,1),547(a,1,2))]. 5205 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5183(a,1),312(a,1,1,3))]. 5207 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(5183(a,1),3660(a,1,1))]. 5209 K(x,y) != z | K(y,x) \ 1 = z. [para(5184(a,1),167(a,1)),flip(b)]. 5210 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3197(a,2),5184(a,1,2))]. 5212 T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. [para(5083(a,1),387(a,1,1))]. 5213 T(T(x,y) * (y / x),x) = x * (y / x). [para(4195(a,1),5109(a,1,1,1))]. 5214 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5116(a,1),191(a,1,2,1))]. 5215 1 / (x \ K(x,y)) = x * K(y,x). [para(5119(a,1),62(a,1,2))]. 5216 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y * K(z,y),y \ K(y,z)). [para(5119(a,1),678(a,1,2,3)),flip(a)]. 5217 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(5119(a,1),4795(a,2,2)),flip(a)]. 5218 (K(x,y) / x) \ 1 = x * K(y,x). [para(5136(a,1),65(a,1,1))]. 5219 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(3019(a,2),5136(a,2,1))]. 5220 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(5152(a,1),20(a,1))]. 5221 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5167(a,1),299(a,1,1)),flip(b)]. 5222 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5177(a,1),106(a,1,1))]. 5223 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5177(a,1),148(a,1,2,1))]. 5224 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5190(a,1),1712(a,1,2,2,1))]. 5225 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5190(a,1),1756(a,1,2,2,1))]. 5227 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1442(a,2),4889(a,2,1))]. 5228 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(1354(a,1),4918(a,1))]. 5231 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3200,a,5060,a)]. 5232 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(73,a,5060,a(flip),b,3197,a),flip(a)]. 5233 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3200,a,5061,a)]. 5235 K(x,y) * z != u | K(y,x) \ z = u. [para(14(a,1),5200(a,1,2)),flip(b)]. 5240 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4783(a,1),5200(a,1,2)),flip(b)]. 5241 K(x,x \ y) * (x \ y) != z | y / x = z. [para(4900(a,1),5200(a,1,2)),flip(b)]. 5242 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5232(a,2),224(a,1,2)),flip(b)]. 5244 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(73,a,5233,a(flip),b,4779,a),flip(a)]. 5245 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5233(a,1),28(a,2,2,2)),flip(a)]. 5247 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(4751(a,1),2406(a,2,1,2,1))]. 5248 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(240,a,1342,a,b,4773,a(flip)),flip(a)]. 5249 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4773(a,1,2)),flip(a)]. 5250 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(14(a,1),4773(a,1,2,1,1))]. 5251 x * ((x * K(y,x)) \ z) = K(x,y) * z. [para(4776(a,1),4773(a,1,2,1))]. 5252 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(75,a,838,a(flip),b,4781,a)]. 5253 K((x * y) / x,z) * (x * y) = x * T(y,z). [para(13(a,1),4781(a,2,2,1))]. 5255 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(62(a,1),4781(a,1,1,1)),flip(a)]. 5256 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4781(a,1),183(a,2)),flip(a)]. 5257 x / (y * T(y \ x,z)) = K(z,x / y). [para(4781(a,1),5184(a,1,2))]. 5258 x / (y * T(y \ x,z)) != u | K(z,x / y) = u. [para(4781(a,1),5194(a,1,2))]. 5259 K(x * K(y,y \ 1),z) = K(x,z). [hyper(240,a,4750,a,b,4787,a)]. 5260 K(x * K(y,y \ 1),z) != u | K(x,z) = u. [para(4787(a,2),4833(a,1))]. 5261 K(x * K(y \ 1,y),z) = K(x,z). [para(1443(a,1),5259(a,1,1,2))]. 5262 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2573(a,1),5259(a,1,1))]. 5263 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2635(a,1),5259(a,1,1)),flip(a)]. 5264 K(K(x,x \ 1) * y,z) = K(y,z). [para(2913(a,2),5259(a,1,1))]. 5265 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2972(a,1),5259(a,1,1))]. 5266 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2973(a,1),5259(a,1,1)),flip(a)]. 5267 K(x \ ((y \ 1) \ 1),z) = K(x \ y,z). [para(4077(a,1),5259(a,1,1))]. 5268 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4402(a,2),5259(a,1,1))]. 5269 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(2982(a,1),5261(a,1,1))]. 5270 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4456(a,1),5261(a,1,1)),flip(a)]. 5271 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4455(a,2),5261(a,1,1))]. 5272 K(x * (y / (1 / z)),u) = K(x * (y / (z \ 1)),u). [para(4499(a,1),5264(a,1,1)),flip(a)]. 5273 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1197,a,4790,a)]. 5276 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(240,a,2187,a(flip),b,4790,a(flip)),flip(a)]. 5277 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(240,a,1812,a(flip),b,4790,a(flip)),flip(a)]. 5278 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4790(a,1),1194(a,2,2))]. 5279 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4790(a,1),1672(a,2,1))]. 5280 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4790(a,1),1807(a,1,2))]. 5281 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4790(a,1),2077(a,2,2))]. 5282 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4790(a,1),2396(a,1,1))]. 5283 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * K(u,L(z,y,x) \ 1). [para(4790(a,1),2414(a,2,2))]. 5285 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4792(a,2),1385(a,2,1))]. 5287 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(240,a,4753,a,b,4807,a)]. 5289 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(240,a,4753,a,b,4819,a)]. 5290 K(x,y * K(z,1 / z)) = K(x,y). [para(1437(a,2),5289(a,1,2,2))]. 5291 K(x,y * K(z \ 1,z)) = K(x,y). [para(1443(a,1),5289(a,1,2,2))]. 5292 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2479(a,1),5289(a,1,2))]. 5293 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2480(a,1),5289(a,1,2))]. 5294 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2528(a,1),5289(a,1,2))]. 5295 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2573(a,1),5289(a,1,2))]. 5296 K(x,K(y,y \ 1) * z) = K(x,z). [para(2913(a,2),5289(a,1,2))]. 5297 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2966(a,1),5289(a,1,2))]. 5298 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2972(a,1),5289(a,1,2))]. 5299 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2983(a,1),5289(a,1,2)),flip(a)]. 5300 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2991(a,1),5289(a,1,2))]. 5301 K(x,y * (z * K(u,u \ 1))) = K(x,y * z). [para(3160(a,1),5289(a,1,2))]. 5302 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3587(a,1),5289(a,1,2))]. 5303 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4402(a,2),5289(a,1,2))]. 5304 K(x,K(y,1 / y) * z) = K(x,z). [para(2910(a,2),5290(a,1,2))]. 5305 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4395(a,1),5290(a,1,2))]. 5306 K(x,(1 / (1 / y)) * z) = K(x,y * z). [para(2982(a,1),5291(a,1,2))]. 5307 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4455(a,2),5291(a,1,2))]. 5308 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4460(a,1),5296(a,1,2))]. 5309 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4498(a,1),5296(a,1,2)),flip(a)]. 5310 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3551(a,1),5304(a,1,2))]. 5311 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4811,a,b,4841,a),flip(a)]. 5312 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4161,a,b,4841,a)]. 5313 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1737,a,b,4841,a)]. 5314 T(x * K(x \ y,x),y) = L(x,x \ y,x). [hyper(18,a,595,a,b,4841,a)]. 5315 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,413,a,b,4841,a),flip(a)]. 5316 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5312(a,1),38(a,1,1)),flip(a)]. 5317 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(240,a,4882,a(flip),b,4842,a),flip(a)]. 5318 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(73,a,4842,a,b,4776,a(flip))]. 5319 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4842(a,2),4840(a,1))]. 5320 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4842(a,2),4918(a,1,2))]. 5321 T(x * K(y * x,x),y) != z | R(x,y,x) = z. [para(4912(a,1),4556(a,1,1))]. 5322 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(75,a,1304,a(flip),b,4953,a),flip(a)]. 5323 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(4965(a,1),724(a,1,1))]. 5325 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5058(a,1,1,1)),flip(a)]. 5327 (x / (x / y)) \ z = K(y,y \ x) * (y \ z). [para(3974(a,1),5058(a,1,1))]. 5328 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4776(a,1),5058(a,1,1))]. 5329 K(x \ y,x) * ((y / x) \ z) = ((x * (y / x)) / x) \ z. [para(4994(a,1),5058(a,2,1)),flip(a)]. 5330 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(240,a,4779,a,b,5059,a),flip(a)]. 5331 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(5068(a,1),241(a,1,2)),flip(b)]. 5333 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(3045,a,5076,a(flip))]. 5334 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5076(a,2),3045(a,1))]. 5335 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(240,a,4776,a(flip),b,5092,a),flip(a)]. 5337 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5114(a,2,2))]. 5338 T(x,y / x) / (y \ x) = x * (y / x). [para(3928(a,2),5114(a,1,1))]. 5339 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(240,a,2160,a,b,5165,a)]. 5342 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5166(a,1),118(a,2,1))]. 5343 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5166(a,1),310(a,1))]. 5345 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5166(a,1),442(a,1,1))]. 5349 T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. [para(5182(a,1),19(a,1))]. 5350 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(240,a,3022,a(flip),b,5210,a)]. 5352 (x / (x / y)) \ (y * z) = K(y,y \ x) * z. [para(3974(a,1),5248(a,1,1))]. 5353 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(5191,a,5249,a)]. 5354 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5249(a,1,2,1,1))]. 5356 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(81,a,5251,a),flip(a)]. 5357 (x * K(y,x)) \ y = x \ (y * K(x,y)). [hyper(73,a,3191,a(flip),b,5251,a),flip(a)]. 5358 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(973(a,1),5257(a,1,2))]. 5359 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1533(a,1),5257(a,1,2))]. 5360 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3481(a,1),5263(a,1,1,2))]. 5361 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5136(a,1),5265(a,1,1,1)),flip(a)]. 5362 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(240,a,5287,a(flip),b,5292,a(flip)),flip(a)]. 5363 K(x,x * (1 / y)) = K(x,y \ x). [para(65(a,1),5362(a,1,2,1)),flip(a)]. 5364 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3669(a,1),5362(a,1,2,1))]. 5366 ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). [para(3019(a,1),5328(a,2,1))]. 5367 (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). [hyper(240,a,65,a,b,5333,a),flip(a)]. 5368 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5333(a,1),19(a,1))]. 5369 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3976(a,1),5339(a,1,2)),flip(a)]. 5370 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(310,a,5353,a),flip(a)]. 5371 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(240,a,5166,a(flip),b,5353,a(flip))]. 5372 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5353(a,2,1,1))]. 5373 K(x \ y,x) * (x * z) = (y / (y / x)) * z. [para(3974(a,1),5353(a,2,1))]. 5374 (x * K(y,x)) * z = K(y,x) * (x * z). [para(4776(a,1),5353(a,2,1)),flip(a)]. 5378 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(14(a,1),5370(a,1,1,1))]. 5379 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(3974(a,1),5370(a,1,1))]. 5380 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5371(a,1,1,1)),flip(a)]. 5381 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5371(a,1),792(a,1,1))]. 5382 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3974(a,1),5371(a,1,1))]. 5383 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4776(a,1),5371(a,1,1))]. 5384 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4815(a,1),5371(a,2,2))]. 5385 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5177(a,1),5371(a,2,2))]. 5386 L(x,y,K(z,y)) = x. [hyper(17,a,3210,a,b,5374,a),flip(a)]. 5387 a(K(x,y),y,z) = 1. [hyper(34,a,5386,a)]. 5388 R(x,K(y,x),z) = x. [hyper(4588,a,5383,a)]. 5389 L(x,K(y,z),z) = x. [hyper(438,a,5383,a)]. 5390 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5383(a,1),28(a,2,1)),flip(a)]. 5391 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5388(a,1),477(a,1,1,1)),flip(a)]. 5392 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5388(a,1),479(a,1,1,1)),flip(a)]. 5393 L(x,K(y,z),z) = L(x,u,K(w,u)). [hyper(240,a,5386,a,b,5389,a)]. 5394 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5389(a,1),230(a,1,2))]. 5396 L(x,y,K(z,y)) != u | u = x. [para(5393(a,1),327(a,1))]. 5397 L(x,K(y,z),z) != u | u = x. [para(5393(a,2),330(a,1))]. 5403 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1323(a,1),5015(a,1))]. 5404 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2212(a,1),5015(a,1))]. 5406 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4796(a,1),5015(a,1))]. 5408 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(42(a,2),5089(a,1,2,1))]. 5410 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(4104(a,2),5090(a,1))]. 5412 x * (K(y,x) * K(x,z)) != u | T(x,z) * K(y,x) = u. [para(2160(a,1),5098(a,1,2))]. 5416 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5079(a,1),5103(a,1,2))]. 5422 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5178(a,1),5161(a,1,2))]. 5424 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(122(a,1),5240(a,1,2))]. 5425 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2165,a,5244,a)]. 5426 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(2479(a,1),5260(a,1,1))]. 5427 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2485(a,1),5260(a,1,1))]. 5428 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(2573(a,1),5260(a,1,1))]. 5429 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(2574(a,1),5260(a,1,1))]. 5430 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(2972(a,1),5260(a,1,1))]. 5431 K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. [para(2973(a,1),5260(a,1,1))]. 5432 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(2991(a,1),5260(a,1,1))]. 5433 K(x \ ((y \ 1) \ 1),z) != u | K(x \ y,z) = u. [para(4077(a,1),5260(a,1,1))]. 5434 K(x \ 1,y) != z | K(1 / x,y) = z. [para(65(a,1),5427(a,1,1,1))]. 5435 K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. [para(2441(a,1),5427(a,1,1))]. 5436 T(K(x,y),x) != z | K(x,y) = z. [para(2628(a,2),5427(a,1))]. 5437 T(K(x,y),T(x,z)) != u | K(x,y) = u. [para(3044(a,2),5436(a,1))]. 5439 T(x / (x / y),x) = L(y,y \ x,y). [para(4735(a,2),5314(a,1,1))]. 5440 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(5439(a,2),40(a,2,1)),flip(a)]. 5441 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(62(a,1),5439(a,1,1,2)),flip(a)]. 5444 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5425(a,1,1,1)),flip(a)]. 5445 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5425(a,1),2161(a,1))]. 5446 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4744(a,2),4018(a,1,1))]. 5447 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4811,a,b,4843,a),flip(a)]. 5448 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4811,a,b,4844,a),flip(a)]. 5450 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5136(a,1),4847(a,1,1,2))]. 5451 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5450(a,1),122(a,1,2)),flip(a)]. 5453 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(240,a,2925,a(flip),b,4866,a(flip))]. 5456 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(4842(a,2),4886(a,1,1,1))]. 5457 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(240,a,2877,a(flip),b,4915,a),flip(a)]. 5458 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(75,a,4928,a,b,4882,a(flip))]. 5459 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4928(a,2),4899(a,2,2)),flip(a)]. 5460 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4928(a,2),4967(a,1,1))]. 5461 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(73,a,4929,a,b,4776,a(flip))]. 5462 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4929(a,2),4117(a,1,1))]. 5463 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4929(a,2),4748(a,2,1)),flip(a)]. 5465 K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). [para(4945(a,1),4442(a,2,2))]. 5466 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4754(a,1),5032(a,1,1)),flip(a)]. 5467 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(4792(a,2),5032(a,1,1)),flip(a)]. 5468 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3022(a,1),5466(a,2,1))]. 5469 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2841(a,1),5467(a,1,1))]. 5470 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5468(a,1),4980(a,1,2)),flip(a)]. 5471 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(839(a,1),5033(a,1,2))]. 5472 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1533(a,1),5033(a,1,2))]. 5473 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(1206,a,5035,a)]. 5474 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(695,a,5035,a),flip(a)]. 5475 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(240,a,973,a(flip),b,5035,a(flip)),flip(a)]. 5476 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(182,a,4781,a,b,5035,a(flip))]. 5477 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(75,a,5035,a(flip),b,411,a)]. 5478 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3924(a,2),5035(a,2,2,1,1))]. 5479 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(240,a,925,a(flip),b,5037,a)]. 5480 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(240,a,902,a(flip),b,5037,a)]. 5482 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(75,a,925,a(flip),b,5037,a),flip(a)]. 5483 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(75,a,839,a(flip),b,5037,a)]. 5484 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(75,a,838,a(flip),b,5037,a)]. 5485 K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. [hyper(73,a,902,a(flip),b,5037,a)]. 5486 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4781,a,b,5037,a)]. 5487 K(1 / (x / y),z) = K(y / x,z). [hyper(5434,a,5486,a)]. 5488 K((x / y) \ 1,x) = K(x \ y,x). [hyper(240,a,4994,a(flip),b,5486,a)]. 5489 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5486(a,1,1,1)),flip(a)]. 5490 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5486(a,2,1))]. 5491 K((x \ y) / y,z) = K(x \ 1,z). [para(62(a,1),5486(a,1,1,1)),flip(a)]. 5492 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5487(a,1),5406(a,1))]. 5493 K(x \ (y \ x),x) = K(y \ 1,x). [para(62(a,1),5488(a,1,1,1)),flip(a)]. 5494 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5489(a,1),5006(a,1,2)),flip(a)]. 5495 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5489(a,2),5434(a,1))]. 5498 (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). [para(5491(a,1),5006(a,1,2)),flip(a)]. 5499 K(x \ y,x) != z | K((x / y) \ 1,x) = z. [para(4994(a,1),5492(a,1))]. 5500 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(73,a,5231,a(flip),b,5065,a),flip(a)]. 5501 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(240,a,5383,a,b,5065,a(flip)),flip(a)]. 5502 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3203,a,5086,a)]. 5503 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(908(a,1),5095(a,1,1)),flip(a)]. 5504 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(75,a,4002,a,b,5132,a)]. 5505 ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). [para(5139(a,1),4813(a,1,2))]. 5506 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5139(a,1),4966(a,1,1))]. 5507 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5146(a,1),38(a,1,1)),flip(a)]. 5508 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(3197(a,1),5242(a,1))]. 5510 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5255(a,2),183(a,2)),flip(a)]. 5511 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2971(a,1),5268(a,1,1,2))]. 5512 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3695(a,1),5268(a,1,1,2))]. 5513 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(4906(a,1),5268(a,1,1,2)),flip(a)]. 5514 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2745(a,1),5271(a,1,1,1)),flip(a)]. 5515 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2766(a,1),5271(a,1,1,1))]. 5517 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2971(a,1),5271(a,1,1,1))]. 5518 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4576(a,1),5271(a,1,1,1))]. 5519 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). [para(2983(a,1),5301(a,1,2,2)),flip(a)]. 5520 K(x,y \ (((z \ 1) \ 1) \ u)) = K(x,y \ (z \ u)). [para(2745(a,1),5303(a,1,2,2)),flip(a)]. 5521 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2910(a,2),5305(a,1,2,2))]. 5522 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(2766(a,1),5307(a,1,2,1))]. 5523 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3695(a,1),5307(a,1,2,1))]. 5524 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4499(a,1),5307(a,1,2,1)),flip(a)]. 5525 K(x,y * (((1 / z) \ u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). [para(4576(a,1),5308(a,1,2,2))]. 5526 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5311(a,1),4742(a,1,1))]. 5528 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4735(a,2),5318(a,1,2,1))]. 5529 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5035(a,2),5318(a,1,2,1))]. 5530 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5191,a,5325,a)]. 5532 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5325(a,1,2))]. 5535 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3451(a,1),5335(a,2,1))]. 5536 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5337(a,1,1,2))]. 5537 T(x,y) / ((y * x) \ x) = x * y. [para(3919(a,1),5536(a,1,1))]. 5538 T(x,y) = (x * y) * ((y * x) \ x). [para(5537(a,1),16(a,1,1)),flip(a)]. 5539 (x * y) \ T(x,y) = (y * x) \ x. [para(5537(a,1),65(a,1,1))]. 5540 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(200(a,1),5539(a,1,1))]. 5542 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5235,a,5354,a)]. 5544 (x / y) * (K(y \ x,y) * z) = (y \ x) * z. [hyper(17,a,5099,a,b,5354,a)]. 5551 ((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z). [para(5354(a,1),5163(a,1,2))]. 5553 K(x,x \ y) \ ((y / x) * z) != u | (x \ y) * z = u. [para(5372(a,1),241(a,1,2)),flip(b)]. 5556 K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. [para(4975(a,1),5372(a,1,1))]. 5557 (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. [hyper(73,a,5352,a,b,5378,a)]. 5560 K(x / y,(x / y) \ x) * z = y \ ((x / (x / y)) * z). [hyper(278,a,5380,a),flip(a)]. 5563 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4815(a,1),5380(a,1,2))]. 5565 x \ ((y / (y / x)) * z) != u * z | K(x \ y,x) = u. [para(5382(a,2),87(a,1,2)),flip(b)]. 5566 (x / (x / y)) * x = y * ((y \ x) * y). [para(4905(a,1),5382(a,2,2))]. 5567 L(x \ y,z,u) * (T(x,L(x \ y,z,u)) * w) = L(y / x,z,u) * (x * w). [para(620(a,1),5384(a,1,1)),flip(a)]. 5568 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5384(a,1),97(a,1,1)),flip(a)]. 5569 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(62(a,1),5385(a,1,2)),flip(a)]. 5570 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4776(a,1),5457(a,1,1,1))]. 5571 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4884(a,1),5457(a,1,1))]. 5572 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(73,a,5231,a(flip),b,5501,a)]. 5573 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(3599(a,1),5521(a,1,2,2))]. 5575 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(3451(a,1),5535(a,1,2))]. 5576 T(K(x,y \ 1) / y,x) = 1 / y. [para(5535(a,1),4777(a,1,1))]. 5577 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5535(a,1),4927(a,1,1))]. 5579 (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. [para(5544(a,1),241(a,1,2)),flip(b)]. 5581 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [hyper(282,a,5570,a)]. 5582 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(5575(a,1),4428(a,1,2))]. 5584 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3661(a,1),4802(a,1,2,1)),flip(a)]. 5585 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(18,a,4622,a,b,4870,a)]. 5588 (x * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. [para(5585(a,2),4472(a,1,2))]. 5591 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4933(a,2),4187(a,1,1))]. 5592 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4215(a,1),4996(a,2,1,1))]. 5595 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(5095(a,1),5019(a,1))]. 5597 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(3019(a,1),5595(a,1))]. 5598 K(x \ y,x) != z | K(y / x,x) = z. [para(5488(a,1),5597(a,1))]. 5599 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5020,a,4753,a(flip)),flip(a)]. 5600 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(4753(a,2),5020(a,1))]. 5601 K(x,y / (z * y)) = K(x,1 / z). [hyper(240,a,3451,a,b,5599,a)]. 5603 K(x,(y \ z) / z) = K(x,y \ 1). [para(14(a,1),5599(a,1,2,2))]. 5604 K(x,(y / z) \ 1) = K(x,z / y). [para(16(a,1),5599(a,1,2,2)),flip(a)]. 5605 K(x,1 / (y / z)) = K(x,z / y). [para(16(a,1),5601(a,1,2,2)),flip(a)]. 5606 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5601(a,1),4821(a,1,2))]. 5607 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(469(a,1),5603(a,1,2,1)),flip(a)]. 5610 K(x,1 / y) != z | K(x,y \ 1) = z. [para(12(a,1),5600(a,1,2,2))]. 5612 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(16(a,1),5600(a,1,2,2))]. 5616 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3536(a,2),5227(a,2,1,2))]. 5617 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(5228,a,1808,a),flip(a)]. 5618 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4790(a,1),5228(a,1))]. 5619 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(65(a,1),5618(a,1,2))]. 5620 K(x,y / z) != u | K(x,1 / (z / y)) = u. [para(5604(a,1),5618(a,1))]. 5621 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(240,a,42,a,b,5316,a)]. 5623 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5356(a,2),5331(a,1))]. 5624 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4776(a,2),5394(a,1,1))]. 5627 K(x * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. [para(2850(a,1),5426(a,1,1,2))]. 5628 K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. [para(2873(a,2),5426(a,1,1,2))]. 5629 K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. [para(2850(a,1),5432(a,1,1,1))]. 5630 K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. [para(65(a,1),5433(a,1,1,2,1))]. 5631 K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. [para(5293(a,2),5630(a,1))]. 5632 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(240,a,2411,a,b,5030,a(flip)),flip(a)]. 5634 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4754(a,1),5030(a,1,1))]. 5635 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4792(a,2),5030(a,1,1)),flip(a)]. 5636 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5634(a,1),118(a,1,1))]. 5637 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3022(a,1),5634(a,1,1)),flip(a)]. 5638 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5635(a,1),5634(a,1,1)),flip(a)]. 5639 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5637(a,1),5183(a,1,1)),flip(a)]. 5640 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4754(a,1),5031(a,1,1))]. 5641 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4796(a,1),5031(a,1,1))]. 5642 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5640(a,1),106(a,1,2))]. 5643 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1698(a,1),5640(a,1,1)),flip(a)]. 5644 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3022(a,1),5640(a,1,1)),flip(a)]. 5645 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4977(a,1),5640(a,1,1,1)),flip(a)]. 5646 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5467(a,1),5640(a,1,1)),flip(a)]. 5647 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(240,a,3019,a,b,5641,a)]. 5649 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(5644(a,1),5183(a,1,1)),flip(a)]. 5651 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(544,a,5039,a)]. 5652 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(240,a,1544,a(flip),b,5039,a(flip)),flip(a)]. 5653 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(864(a,1),5039(a,1,2))]. 5655 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ (x \ x),z)). [para(5042(a,2),1545(a,1,1))]. 5656 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3284(a,1),5044(a,1,1))]. 5657 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(5149(a,1),5044(a,2,2,1))]. 5658 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(73,a,5046,a(flip),b,839,a)]. 5660 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(864(a,1),5046(a,1,2))]. 5661 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5044(a,2),5046(a,1,2))]. 5662 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5492,a,5080,a)]. 5663 x / (K(y,z * (u / (w \ 1))) * x) = K(z * (u / (1 / w)),y). [hyper(240,a,5184,a,b,5272,a),flip(a)]. 5664 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(5276(a,1),16(a,1,1))]. 5665 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1196(a,1),5276(a,1,1))]. 5666 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2083(a,1),5276(a,1,1))]. 5667 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4790(a,1),5277(a,1,1)),flip(a)]. 5668 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3449(a,1),5667(a,2,1))]. 5669 K(x,T(y,z) \ 1) = T(K(x,1 / y),z). [para(3451(a,2),5667(a,2,1))]. 5671 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5667(a,1),4803(a,1,2))]. 5672 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(240,a,5470,a(flip),b,5668,a(flip)),flip(a)]. 5673 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5668(a,1),3060(a,1,2,1))]. 5674 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(240,a,2845,a(flip),b,5672,a(flip)),flip(a)]. 5675 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(5674(a,1),203(a,1,2)),flip(a)]. 5676 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5674(a,1),4752(a,2,2)),flip(a)]. 5677 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(5674(a,1),4895(a,1,2))]. 5678 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [hyper(5618,a,5669,a)]. 5679 T(K(x,1 / y),z) != u | K(x,1 / T(y,z)) = u. [para(5669(a,1),5618(a,1))]. 5680 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [hyper(5191,a,5676,a)]. 5681 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [para(3453(a,1),5678(a,2,1))]. 5682 K(K(x,y),z) = K(z,K(y,x)). [hyper(17,a,4800,a(flip),b,5680,a),flip(a)]. 5683 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5209,a,5682,a)]. 5684 x * K(K(y,z),x) = T(x,K(z,y)). [para(5682(a,2),4800(a,2,2)),flip(a)]. 5685 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5682(a,1),4809(a,2,1)),flip(a)]. 5686 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5682(a,1),4999(a,1,1))]. 5687 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5682(a,1),4815(a,1,1))]. 5688 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5683(a,1),4999(a,1))]. 5689 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5133,a,5684,a),flip(a)]. 5690 T(T(x,K(y,z)),K(z,y)) = x. [hyper(4920,a,5684,a)]. 5691 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5684(a,1),4811(a,1,1))]. 5692 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5684(a,1),4919(a,1,1))]. 5693 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5684(a,1),4937(a,1,1))]. 5694 T(K(x,y),K(x,z)) = K(x,y). [para(2158(a,1),5690(a,1,1))]. 5695 T(K(x,y),K(z,y)) = K(x,y). [para(2159(a,1),5690(a,1,1))]. 5696 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5694(a,1),231(a,1,2))]. 5697 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5695(a,1),122(a,1,2))]. 5704 (x * T(y,K(z,u))) \ (x * (K(u,z) * y)) = L(K(u,z),T(y,K(z,u)),x). [para(5691(a,1),28(a,2,2,2)),flip(a)]. 5705 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4784,a,5697,a)]. 5706 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4977(a,1),5686(a,1))]. 5707 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4991(a,2),5706(a,1))]. 5708 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(240,a,4916,a,b,5705,a(flip)),flip(a)]. 5709 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5705(a,1),3810(a,2,3))]. 5710 ((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(5708(a,1),107(a,1,2,2,1))]. 5711 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5696,a,4780,a(flip)),flip(a)]. 5712 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4884(a,2),5309(a,2,2,2)),flip(a)]. 5713 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4559(a,1),5358(a,1,2))]. 5714 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4569(a,1),5359(a,1,2))]. 5716 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5473(a,1),14(a,1,2))]. 5717 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(14(a,1),5511(a,2,1,2))]. 5718 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2709(a,1),5515(a,1,1,1)),flip(a)]. 5719 (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). [hyper(2183,a,5551,a),flip(a)]. 5720 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(366(a,1),5617(a,1,2,2,1,2))]. 5721 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3284(a,1),5658(a,1,2,1)),flip(a)]. 5724 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5661(a,1,2,1,1))]. 5725 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3022(a,1),5661(a,1,2,1))]. 5726 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(240,a,5280,a,b,5664,a)]. 5728 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [hyper(240,a,5604,a,b,5713,a)]. 5729 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4977(a,1),5716(a,1,2,2,1,1,2))]. 5730 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(5474(a,1),5716(a,1,2)),flip(a)]. 5733 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4884(a,1),5726(a,1,1,2))]. 5734 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(3214(a,2),5730(a,1,1,2))]. 5735 T(x,y) / L(z,x / z,K(x,y)) = K(y,x) \ (x / z). [hyper(240,a,5183,a,b,4876,a)]. 5737 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5000(a,2),5002(a,1,2))]. 5738 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(831(a,2),5196(a,1,1))]. 5739 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5183(a,1),5196(a,1,1))]. 5740 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(240,a,4074,a(flip),b,5202,a(flip))]. 5742 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(172(a,1),5313(a,2,3))]. 5743 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(973(a,1),5403(a,1,2))]. 5744 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(1936(a,1),5403(a,1,2))]. 5745 (x * K(y,x)) * K(x,z) != u | T(x,z) * K(y,x) = u. [para(5383(a,2),5412(a,1))]. 5746 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(17,a,4653,a(flip),b,5447,a)]. 5747 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(17,a,4649,a(flip),b,5447,a)]. 5749 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(5747(a,1),5647(a,1,1)),flip(a)]. 5750 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(456(a,1),5746(a,1,2)),flip(a)]. 5751 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1773(a,2),5746(a,1,2)),flip(a)]. 5754 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5632(a,1),667(a,1,2))]. 5755 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [hyper(240,a,5647,a(flip),b,5749,a)]. 5756 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(4850(a,1),4954(a,1,2))]. 5757 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(240,a,4828,a(flip),b,5756,a)]. 5758 (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),5036(a,2,2))]. 5759 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4201,a,5105,a(flip)),flip(a)]. 5760 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(4202,a,5106,a(flip)),flip(a)]. 5761 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3462(a,1),5219(a,1,2)),flip(a)]. 5763 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5273(a,1,2,2,1))]. 5764 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5278(a,1,2,1))]. 5765 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5278(a,1),2081(a,1,1)),flip(a)]. 5766 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5119(a,1),5361(a,1,1,1)),flip(a)]. 5767 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3199(a,1),5392(a,1,1))]. 5768 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3709(a,1),5472(a,1,2)),flip(a)]. 5769 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4571,a,5475,a),flip(a)]. 5770 T(x,x \ y) \ T(z,x \ y) = x \ ((y / x) \ (z * (x \ y))). [hyper(73,a,5532,a(flip),b,4782,a),flip(a)]. 5771 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5565,a,5560,a(flip)),flip(a)]. 5772 K(x / y,x / (x / y)) = K(y \ x,y). [hyper(4990,a,5771,a)]. 5773 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(123(a,2),5569(a,1,2,2,1))]. 5774 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5119(a,1),5581(a,1,2))]. 5775 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(5774(a,1),191(a,1,2,1))]. 5776 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(240,a,53,a(flip),b,5584,a)]. 5778 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(240,a,5093,a(flip),b,5652,a(flip))]. 5779 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5035(a,1),5652(a,1,1))]. 5780 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(81,a,5653,a),flip(a)]. 5781 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(65(a,1),5653(a,1,2,2,1,2)),flip(a)]. 5782 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(2792,a,5656,a),flip(a)]. 5783 ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). [hyper(240,a,2598,a,b,5719,a(flip)),flip(a)]. 5784 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(240,a,5658,a(flip),b,5721,a)]. 5785 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5733(a,2,2,2,1))]. 5786 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(5767(a,1),472(a,1))]. 5787 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(13(a,1),5769(a,1,2,1,1)),flip(a)]. 5788 x * K((x \ (y * z)) \ 1,y) != u | ((y \ (x / z)) * y) * z = u. [para(5769(a,2),4562(a,1))]. 5789 (x * y) * ((z \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). [para(5787(a,1),4614(a,2,2))]. 5790 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5780(a,1),14(a,1,2))]. 5791 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(5778(a,1),5790(a,1,2,2))]. 5792 (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(x \ (x * y),x * y). [hyper(73,a,4310,a(flip),b,5791,a)]. 5793 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(5791(a,1),1775(a,2,2,1))]. 5794 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(240,a,1974,a,b,4891,a(flip)),flip(a)]. 5795 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5074(a,1),460(a,1,1))]. 5796 (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). [para(5139(a,1),5144(a,2,2))]. 5798 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4754(a,1),5404(a,1,1))]. 5799 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(240,a,186,a(flip),b,5568,a)]. 5800 a(x \ y,T(x,x \ y),z) = a(y / x,x,z). [para(14(a,1),5799(a,1,1,1)),flip(a)]. 5801 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5262(a,1),5577(a,1,1,1))]. 5804 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5642(a,1),19(a,1)),flip(a)]. 5805 x / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). [para(5718(a,1),5184(a,1,2,1))]. 5806 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(240,a,4396,a(flip),b,5801,a)]. 5807 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(4788(a,1),4865(a,1,2,1))]. 5808 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(4898(a,1),5422(a,1))]. 5809 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1733,a,4921,a),flip(a)]. 5810 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4952(a,1),4955(a,1,2)),flip(a)]. 5811 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1665(a,1),5810(a,2,2))]. 5812 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(240,a,2995,a(flip),b,5113,a)]. 5813 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(240,a,5711,a(flip),b,5214,a)]. 5814 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5813(a,1),3620(a,1,2))]. 5815 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5255(a,1),5252(a,1,1,2)),flip(a)]. 5816 K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. [para(5535(a,1),5366(a,1,1)),flip(a)]. 5817 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(240,a,1935,a(flip),b,5478,a(flip))]. 5818 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(5817(a,1),19(a,1))]. 5819 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1551(a,1),5483(a,1,1))]. 5820 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2720(a,1),5573(a,1,2,2,1)),flip(a)]. 5821 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(552(a,1),5638(a,1,1,1)),flip(a)]. 5822 ((x / y) * K(y \ 1,z)) * y = x * (y * T(y \ 1,z)). [para(53(a,1),5655(a,2,2,2,1,2))]. 5824 ((x / y) * K(y \ 1,z)) * y = x * K(y \ 1,z). [para(4754(a,1),5822(a,2,2))]. 5825 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [hyper(75,a,4759,a(flip),b,5824,a),flip(a)]. 5826 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(15(a,1),5824(a,1,1,1))]. 5828 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(81,a,5825,a)]. 5829 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(240,a,3118,a,b,5828,a(flip)),flip(a)]. 5830 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5829(a,1,2,2))]. 5831 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5434,a,5830,a)]. 5832 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(240,a,5147,a(flip),b,5830,a(flip)),flip(a)]. 5833 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(5831(a,1),4813(a,1,2))]. 5834 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5831(a,1),4976(a,1,2)),flip(a)]. 5835 K(x \ 1,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. [para(5831(a,1),5241(a,1,1))]. 5836 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(18,a,5040,a,b,5832,a),flip(a)]. 5837 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = T(1 / (x \ y),x \ T(y,x)). [para(5168(a,1),5836(a,1,2)),flip(a)]. 5838 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(81,a,5826,a)]. 5839 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [hyper(240,a,3071,a(flip),b,5834,a(flip))]. 5840 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5838(a,1),966(a,1,1)),flip(a)]. 5841 x * K(y,x * (1 / y)) = y * (x / y). [para(65(a,1),5839(a,1,2,1))]. 5842 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,4976,a,b,5841,a)]. 5843 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(62(a,1),5841(a,1,2,2,2)),flip(a)]. 5845 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(62(a,1),5842(a,1,2,2)),flip(a)]. 5848 (K(x * y,y \ 1) / y) \ x = x / (1 / y). [hyper(5835,a,5816,a),flip(a)]. 5849 K(x * (y / (1 / z)),u) != w | K(x * (y / (z \ 1)),u) = w. [para(5663(a,1),5194(a,1))]. 5850 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(807(a,1),5666(a,1,1,1))]. 5851 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5724(a,2,1,1))]. 5852 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5851(a,1,2,2)),flip(a)]. 5854 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(401,a,5852,a,b,xx),flip(a)]. 5855 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(75,a,5852,a,b,xx)]. 5857 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3022(a,1),5725(a,2,1))]. 5859 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),5857(a,1,2,2)),flip(a)]. 5860 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5857(a,1,2,2))]. 5863 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [hyper(240,a,175,a(flip),b,5859,a)]. 5864 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(5859(a,2),199(a,1,2))]. 5865 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(5859(a,1),5184(a,1,2))]. 5866 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5178(a,1),5865(a,1,2,2))]. 5868 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5098,a,5864,a),flip(a)]. 5869 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5178(a,1),5868(a,1,1)),flip(a)]. 5870 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5035(a,2),5729(a,1,2))]. 5871 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5474(a,1),5729(a,1,2)),flip(a)]. 5872 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4171(a,1),5759(a,1,2))]. 5873 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4171(a,1),5760(a,1,2))]. 5874 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(314,a,5779,a)]. 5875 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(240,a,5652,a,b,5781,a(flip)),flip(a)]. 5876 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(383,a,5807,a)]. 5877 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4997(a,1),5809(a,1,2)),flip(a)]. 5878 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(240,a,4911,a(flip),b,5877,a)]. 5879 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5878(a,1,1,1)),flip(a)]. 5880 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(240,a,5114,a(flip),b,5812,a(flip))]. 5881 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [hyper(240,a,4976,a,b,5880,a)]. 5882 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(2978,a,5814,a)]. 5883 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5814(a,1),3642(a,1,1)),flip(a)]. 5884 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5814(a,1),4672(a,1,2))]. 5885 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(81,a,5870,a)]. 5886 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(5870(a,1),19(a,1))]. 5887 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5871(a,2),19(a,1))]. 5888 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5885(a,1),4531(a,1,1))]. 5889 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5888(a,1,1,2,1)),flip(a)]. 5890 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5889(a,2),20(a,1))]. 5891 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5178(a,1),5143(a,1,2,2)),flip(a)]. 5893 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(240,a,332,a(flip),b,5643,a)]. 5895 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1069(a,1),5893(a,1,2))]. 5896 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,5895,a)]. 5897 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,5896,a)]. 5898 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1071(a,2),5897(a,1,1))]. 5899 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5898(a,1),3893(a,1,2)),flip(a)]. 5900 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(240,a,2379,a(flip),b,5899,a)]. 5901 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1071(a,1),5900(a,1,1))]. 5902 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(5768(a,2),5743(a,1))]. 5903 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4611(a,2),5765(a,1,2))]. 5904 (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. [para(5035(a,2),5788(a,1))]. 5905 ((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(5034(a,2),5789(a,1,1))]. 5906 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4193(a,1),5879(a,1,1)),flip(a)]. 5907 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(240,a,4135,a(flip),b,5906,a)]. 5908 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(230,a,5903,a)]. 5909 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(4000(a,1),5908(a,1,2)),flip(a)]. 5916 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3449(a,1),5909(a,1,1,2))]. 5918 (x * K(y,z)) * y = x * T(y,z). [para(2916(a,1),5916(a,2,2))]. 5919 R(x,K(y,z),y) = x. [hyper(4879,a,5918,a)]. 5920 L(x,K(x,y),z) = x. [hyper(4878,a,5918,a)]. 5921 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(401,a,xx,b,5918,a),flip(a)]. 5922 (x * K(y,y \ z)) * y = x * ((y \ z) \ z). [hyper(240,a,271,a(flip),b,5918,a)]. 5923 x * T(y * K(x,z),x) = y * T(x,z). [hyper(232,a,5918,a)]. 5924 (x * T(y,z)) / y = x * K(y,z). [hyper(90,a,5918,a)]. 5925 (1 / x) * K(x,y) = K(x,y) / x. [hyper(75,a,4793,a,b,5918,a),flip(a)]. 5926 (x / T(y,z)) * K(y,z) = x / y. [hyper(75,a,16,a(flip),b,5918,a),flip(a)]. 5927 x / R(y,y \ x,y) = (y \ x) * K(y,x). [hyper(18,a,5907,a,b,5918,a),flip(a)]. 5928 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1251,a,b,5918,a),flip(a)]. 5929 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1246,a,b,5918,a)]. 5930 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4235,a(flip),b,5918,a)]. 5932 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5918(a,1),24(a,2,1,2)),flip(a)]. 5934 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5918(a,1),171(a,2,1))]. 5937 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [para(5152(a,1),5918(a,1,1))]. 5940 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(240,a,5737,a(flip),b,5920,a(flip)),flip(a)]. 5941 L(T(x,y),K(x,z),u) = T(x,y). [para(5920(a,1),40(a,2,1))]. 5942 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(5920(a,1),447(a,1,2,1))]. 5948 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(5941(a,1),45(a,1,1)),flip(a)]. 5949 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(5941(a,1),760(a,1,2,1))]. 5950 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5924(a,1),226(a,1,1)),flip(b)]. 5951 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(5924(a,1),387(a,1,1))]. 5953 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(124(a,1),5926(a,1,1,2))]. 5954 (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). [para(195(a,1),5926(a,1,1,2))]. 5955 x * T(x \ y,z) = y * K(x \ y,z). [hyper(542,a,5928,a)]. 5956 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(81,a,5928,a)]. 5958 (x / y) * ((y \ z) \ z) = x * K(y,y \ z). [hyper(240,a,271,a(flip),b,5928,a(flip)),flip(a)]. 5959 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(75,a,5928,a(flip),b,5918,a)]. 5961 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(73,a,5928,a(flip),b,5918,a)]. 5962 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(30(a,2),5928(a,1,1)),flip(a)]. 5964 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5928(a,1),865(a,1,2,1))]. 5965 K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). [para(5928(a,1),3220(a,1,2))]. 5966 T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). [para(5928(a,1),4132(a,1,1))]. 5967 R(x,y,K(y,z)) = x. [hyper(4864,a,5929,a)]. 5969 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(401,a,xx,b,5929,a),flip(a)]. 5971 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(81,a,5929,a)]. 5974 L(K(x,y),x,z) = K(x,y). [hyper(17,a,4861,a,b,5929,a),flip(a)]. 5977 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(5929(a,1),28(a,2,2,2)),flip(a)]. 5978 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(5929(a,1),307(a,1))]. 5981 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(5929(a,1),541(a,1))]. 5985 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5929(a,1),475(a,1,1))]. 5986 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4774(a,1),5929(a,1,1)),flip(a)]. 5988 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(240,a,4977,a,b,5974,a)]. 5989 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5974(a,1),445(a,1,2,1))]. 5991 L(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(5974(a,2),5492(a,1))]. 5993 L(K(x,y),x,z) != u | K(x,y) = u. [para(5988(a,2),4999(a,1))]. 5994 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(81,a,5930,a),flip(a)]. 5995 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(5930(a,1),20(a,1)),flip(a)]. 5996 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5956(a,1),5504(a,1,2))]. 5997 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5971(a,1),224(a,1,2)),flip(b)]. 6000 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(4818(a,1),5971(a,1,1))]. 6002 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [hyper(240,a,5616,a,b,5937,a(flip)),flip(a)]. 6005 (x * y) / (y * K(z,y)) = x * K(y,z). [para(5940(a,1),62(a,1,2))]. 6006 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5940(a,1),293(a,1,2))]. 6007 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5510,a,5955,a),flip(a)]. 6008 K(x / y,z) * x = x * K(y \ x,z). [hyper(5410,a,5955,a)]. 6009 T(K(x / y,z),x) = K(y \ x,z). [hyper(5256,a,5955,a)]. 6010 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(1206,a,5955,a)]. 6011 x * K((y * z) \ x,u) = y * (z * T(z \ (y \ x),u)). [hyper(974,a,5955,a),flip(a)]. 6012 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(926,a,5955,a),flip(a)]. 6013 K(x \ (x / y),z) = y * T(y \ 1,z). [hyper(1063,a,5955,a(flip)),flip(a)]. 6015 (x * K(y \ x,z)) / y = T(x / y,z). [hyper(75,a,5955,a(flip),b,411,a)]. 6016 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(73,a,1533,a(flip),b,5955,a(flip))]. 6018 K((x * y) \ x,z) = K(y \ 1,z). [hyper(17,a,5041,a(flip),b,5955,a(flip))]. 6019 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(17,a,5035,a(flip),b,5955,a(flip)),flip(a)]. 6022 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5955(a,2),241(a,1,2)),flip(b)]. 6024 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(5955(a,2),107(a,1,2,2)),flip(a)]. 6026 (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(5955(a,1),926(a,1))]. 6027 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5955(a,1),1935(a,2,1))]. 6028 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5955(a,2),3211(a,1,1,1)),flip(a)]. 6031 K((x \ y) \ y,y) = K(x,y). [hyper(240,a,3189,a(flip),b,6007,a)]. 6033 K(T(x,x \ y),z) = T(K(x,z),y). [para(123(a,2),6007(a,1,1))]. 6035 K(x / y,x) = K(y \ x,x). [para(65(a,1),6031(a,1,1,1)),flip(a)]. 6038 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(122(a,1),6018(a,1,1,1)),flip(a)]. 6039 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(171(a,2),6018(a,1,1))]. 6040 K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). [para(6018(a,1),4809(a,2,1)),flip(a)]. 6041 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5178(a,1),6018(a,1,1,1)),flip(a)]. 6042 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5902,a,6019,a)]. 6043 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(240,a,648,a(flip),b,6019,a)]. 6045 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(108(a,2),6019(a,1,1,1))]. 6048 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6019(a,1),4770(a,2,1))]. 6049 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6019(a,1),4977(a,1,1)),flip(a)]. 6051 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6019(a,1),5640(a,1,1)),flip(a)]. 6052 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6019(a,1),5716(a,1,2,2))]. 6053 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6019(a,1),5769(a,1,2))]. 6054 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6019(a,1),5834(a,2,2))]. 6055 T(K(x,y),x * z) = K(T(x,z),y). [para(13(a,1),6033(a,1,1,2)),flip(a)]. 6056 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(5434,a,6043,a)]. 6057 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(73,a,6043,a(flip),b,4754,a),flip(a)]. 6058 (((x * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(6043(a,1),5843(a,2,2))]. 6059 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6056(a,1),4800(a,2,2)),flip(a)]. 6060 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(5435,a,6039,a)]. 6061 K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). [para(6060(a,1),4870(a,1,1))]. 6062 T((x / y) * K(y,z),y) != u | y \ (x * K(y,z)) = u. [para(5959(a,1),387(a,1,1))]. 6063 (x * y) / ((z * y) / z) = x * K(y,z). [para(4776(a,2),6005(a,1,2))]. 6064 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [para(4813(a,1),6005(a,1,2))]. 6066 x / ((y * z) / y) = (x / z) * K(z,y). [para(4776(a,2),6006(a,1,2))]. 6067 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4813(a,1),6006(a,1,2)),flip(a)]. 6068 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4913(a,2),6006(a,1,2))]. 6069 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(18,a,3198,a(flip),b,6008,a)]. 6084 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(6013(a,2),5015(a,1))]. 6085 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(240,a,5468,a(flip),b,6038,a(flip))]. 6086 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(240,a,4770,a,b,6048,a)]. 6088 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6048(a,2),4785(a,1))]. 6089 T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. [hyper(3894,a,6086,a),flip(a)]. 6091 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6086(a,1,2,1)),flip(a)]. 6092 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6086(a,2,2))]. 6094 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6086(a,1,2,1))]. 6095 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). [para(398(a,1),6086(a,1,2,1)),flip(a)]. 6096 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(396,a,6091,a),flip(a)]. 6097 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [para(6091(a,1),122(a,1,2))]. 6098 x / T(x * y,y \ 1) = (x * y) \ x. [para(6091(a,1),209(a,1,2))]. 6099 T(x,L(y \ 1,y,z)) = T(x,y \ 1). [para(171(a,2),6091(a,1,2))]. 6100 T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). [para(95(a,1),6091(a,1,2))]. 6102 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(6092(a,1),209(a,1,2))]. 6103 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(171(a,2),6092(a,1,2,1))]. 6104 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6092(a,1),2929(a,1,2))]. 6105 T(x / L(y \ 1,y,z),y \ 1) = L(y \ 1,y,z) \ x. [hyper(387,a,6099,a),flip(a)]. 6106 T(x,L(y \ 1,y,z)) = T(x,(u * y) \ u). [hyper(240,a,6091,a,b,6099,a)]. 6107 T(x,L(1 / y,y,z)) = T(x,y \ 1). [hyper(240,a,2924,a,b,6099,a(flip)),flip(a)]. 6111 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(240,a,4977,a(flip),b,6049,a)]. 6112 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6049(a,2),4999(a,1))]. 6113 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5618,a,6111,a)]. 6114 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(240,a,6019,a(flip),b,6111,a)]. 6115 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),6111(a,1,2,1)),flip(a)]. 6116 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6111(a,2,2))]. 6117 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),6111(a,1,2,1)),flip(a)]. 6119 K(x,y \ (y / z)) = K(x,z \ 1). [para(65(a,1),6111(a,1,2,1)),flip(a)]. 6120 K(x,((y \ z) \ z) \ u) = K(x,(u \ T(y,y \ z)) \ 1). [para(397(a,2),6111(a,1,2,1)),flip(a)]. 6121 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(678(a,1),6111(a,1,2,1)),flip(a)]. 6123 T(x \ y,K(z,y \ x)) = x \ y. [para(6111(a,1),1992(a,1,2))]. 6125 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5183(a,1),6111(a,1,2,1))]. 6126 K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). [para(6111(a,1),5244(a,1,1))]. 6127 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6111(a,1),5280(a,1,2))]. 6128 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6111(a,1),5726(a,2,2))]. 6129 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(6111(a,2),5881(a,2,2))]. 6130 K(x,1 / (y \ x)) = K(x,y / x). [hyper(240,a,4959,a,b,6113,a)]. 6131 K(x,(y * z) \ y) = K(x,1 / z). [para(13(a,1),6113(a,1,2,2)),flip(a)]. 6132 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),6113(a,1,2,2)),flip(a)]. 6133 K(x,y \ (y / z)) = K(x,1 / z). [para(65(a,1),6113(a,1,2,2)),flip(a)]. 6135 K(x,y \ 1) / ((z * y) \ z) = 1 / T((z * y) \ z,x). [hyper(75,a,6115,a(flip),b,4749,a(flip))]. 6136 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(240,a,5599,a,b,6119,a)]. 6138 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(6123(a,1),122(a,1,2))]. 6139 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(6131(a,2),5610(a,1))]. 6140 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(6133(a,1),4976(a,1,2))]. 6142 (x / ((y * z) / y)) * z = x * K(z,y). [hyper(240,a,1365,a(flip),b,6063,a(flip)),flip(a)]. 6145 K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). [para(6066(a,2),5306(a,1,2))]. 6146 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6094(a,2),209(a,1,2))]. 6147 T(x * (y / z),z / y) = ((x * (y / z)) \ x) \ x. [hyper(240,a,3998,a(flip),b,6096,a(flip)),flip(a)]. 6148 T(x * (1 / y),(1 / y) \ 1) = L(y,y \ 1,x) \ x. [para(2541(a,2),6096(a,2,1))]. 6149 (1 / x) * (((y * x) \ y) \ y) = (y * x) * (1 / x). [para(6096(a,1),2929(a,1,2))]. 6150 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(240,a,171,a,b,6098,a)]. 6151 (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(929(a,1),6098(a,1,2))]. 6152 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5606(a,2),6136(a,2,2))]. 6153 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(3974(a,1),6142(a,1,1,2))]. 6157 R(x,x \ y,z) * T((x \ y) * z,u) != w | (y * z) * K((x \ y) * z,u) = w. [para(115(a,2),5978(a,1,1))]. 6161 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(118(a,1),5997(a,1,1))]. 6162 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(15(a,1),6084(a,1,1,2))]. 6163 K(x \ y,z) != u | K((y \ x) \ 1,z) = u. [para(62(a,1),6084(a,1,1,2))]. 6165 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),6088(a,1,2,1))]. 6166 T(x,a(y,z,z \ 1) \ 1) != u | T(x,R(y,z,z \ 1) \ y) = u. [para(678(a,1),6088(a,1,2,1))]. 6167 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),6112(a,1,2,1))]. 6168 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(108(a,2),6112(a,1,2,1))]. 6170 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3451(a,2),6112(a,1))]. 6171 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5183(a,1),6112(a,1,2,1))]. 6174 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(199(a,1),6139(a,1,2,1))]. 6175 K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. [para(1548(a,2),6139(a,1,2,1))]. 6176 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6150(a,1),3885(a,1,2,1)),flip(a)]. 6177 (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. [hyper(75,a,4629,a(flip),b,5922,a),flip(a)]. 6178 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(240,a,5101,a(flip),b,5969,a(flip))]. 6179 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6178(a,1,1)),flip(a)]. 6181 x \ T(y,K(x,z)) = T(y / x,T(x,z)). [hyper(81,a,6179,a)]. 6182 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(240,a,4515,a(flip),b,6010,a(flip)),flip(a)]. 6183 K((x \ 1) \ y,y) = K(x * y,y). [hyper(17,a,4912,a(flip),b,6010,a(flip))]. 6184 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6010(a,2),19(a,1))]. 6185 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6010(a,1),4531(a,1,1))]. 6186 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6010(a,1),4532(a,1,1))]. 6187 K((1 / x) \ y,y) = K(x * y,y). [hyper(5431,a,6183,a)]. 6188 K((1 / x) * y,y) = K(x \ y,y). [para(65(a,1),6183(a,1,1,1)),flip(a)]. 6189 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(6183(a,1),4800(a,2,2)),flip(a)]. 6190 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6041(a,1),5466(a,2,1))]. 6192 (x * K(y \ z,y)) * (z / y) = x * (y \ z). [para(6064(a,1),16(a,1,1))]. 6194 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [hyper(240,a,2910,a,b,6068,a),flip(a)]. 6195 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(240,a,2067,a(flip),b,6127,a),flip(a)]. 6196 K(x,y / z) * y = y * K(x,z \ y). [para(5604(a,1),6128(a,1,1))]. 6197 T(K(x,y / z),y) = K(x,z \ y). [hyper(182,a,6196,a,b,xx)]. 6198 K(x,x / y) = K(x,y \ x). [hyper(18,a,3025,a,b,6196,a)]. 6201 K(x,(y \ x) \ x) = K(x,y). [para(62(a,1),6198(a,1,2)),flip(a)]. 6202 K(x,x / (x / y)) = K(x,y). [para(65(a,1),6198(a,2,2))]. 6203 K(x,x * (1 / (y \ x))) = K(x,y). [hyper(240,a,5363,a,b,6201,a(flip)),flip(a)]. 6204 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(240,a,6111,a,b,6197,a)]. 6205 K(x,(y \ z) \ z) = T(K(x,y),z). [para(62(a,1),6197(a,1,1,2)),flip(a)]. 6206 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6197(a,1),3987(a,1,2))]. 6207 K(x,K(y,x / z)) * K(y,z \ x) = K(y,x / z). [para(6197(a,1),4769(a,1,2))]. 6208 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6205(a,2),166(a,1)),flip(b)]. 6209 K(x,T(y,y \ z)) = T(K(x,y),z). [para(123(a,2),6205(a,1,2))]. 6210 K(x,T(y,z / y)) = T(K(x,y),z). [para(3947(a,2),6205(a,1,2))]. 6211 T(K(x,y),z * y) = K(x,T(y,z)). [para(3958(a,2),6205(a,1,2)),flip(a)]. 6213 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6209(a,1,2,2)),flip(a)]. 6216 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(240,a,6211,a,b,6213,a),flip(a)]. 6217 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6213(a,1),122(a,1,2))]. 6218 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6213(a,1),5436(a,1))]. 6219 K(x,y) * K(y,T(x,z)) != u | K(x * z,K(x,y)) = u. [para(6213(a,1),5677(a,1,2))]. 6220 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2047(a,2),6208(a,1,2))]. 6221 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6204(a,2),6112(a,1))]. 6222 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6216(a,2),4991(a,1,1))]. 6224 K(x,x / y) != z | K(x,y \ x) = z. [para(3023(a,1),6221(a,1))]. 6225 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3063(a,1),6221(a,1))]. 6226 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(240,a,5338,a,b,6140,a),flip(a)]. 6227 T(x,(x / y) / x) = T(x,1 / y). [hyper(182,a,6140,a(flip),b,5928,a)]. 6231 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(18,a,1285,a(flip),b,6192,a)]. 6232 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6194(a,1),4465(a,1,1)),flip(a)]. 6233 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(240,a,5372,a(flip),b,6217,a)]. 6234 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6231(a,1),20(a,1)),flip(a)]. 6236 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(839(a,1),6022(a,1,2))]. 6237 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1321(a,1),6022(a,1,2))]. 6238 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5033(a,1),6022(a,1))]. 6239 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6238(a,1,1,1))]. 6240 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(108(a,2),6238(a,1,1,1))]. 6241 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5183(a,1),6238(a,1,1,1))]. 6242 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5476(a,2),6238(a,1))]. 6244 K(x / y,x) != z | K(y \ x,x) = z. [para(3189(a,1),6242(a,1))]. 6245 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4553,a,5986,a(flip))]. 6246 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5989(a,1),4985(a,1,2))]. 6247 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6012(a,1),2715(a,1,2))]. 6248 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(6012(a,1),4153(a,1,2,2)),flip(a)]. 6249 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4644(a,1),6016(a,1,2))]. 6250 K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). [hyper(240,a,357,a(flip),b,6040,a)]. 6251 K(x,y) * ((z * (1 / x)) \ z) = T((z * (1 / x)) \ z,y). [para(65(a,1),6040(a,1,1,1))]. 6252 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6238,a,6042,a),flip(a)]. 6253 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(171(a,2),6057(a,1,1,1))]. 6256 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(6138(a,1),5161(a,1,2))]. 6257 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x. [para(6147(a,2),100(a,1,1,1)),flip(a)]. 6258 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5270(a,1),6182(a,2,2))]. 6259 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(5707,a,6222,a),flip(a)]. 6260 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(5706,a,6259,a),flip(a)]. 6261 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(240,a,6051,a(flip),b,6045,a(flip)),flip(a)]. 6262 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(240,a,5513,a(flip),b,6261,a)]. 6263 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6261(a,2,1,1))]. 6264 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6261(a,2,1,2))]. 6265 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),6261(a,1,1,1)),flip(a)]. 6266 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(108(a,2),6261(a,2,1))]. 6267 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5178(a,1),6261(a,2,1,1))]. 6268 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1773(a,2),6266(a,2,1))]. 6269 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2704(a,1),6266(a,2,1))]. 6271 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(110(a,2),6265(a,1,1))]. 6272 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(240,a,28,a(flip),b,6271,a)]. 6273 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6271(a,1,1,2)),flip(a)]. 6274 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6271(a,1),4977(a,1,1)),flip(a)]. 6275 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(240,a,3022,a,b,6273,a)]. 6277 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6273(a,1),502(a,1,2))]. 6278 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6269(a,2),5430(a,1))]. 6279 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6275(a,2),5427(a,1))]. 6280 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). [hyper(240,a,2916,a(flip),b,6095,a)]. 6281 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(389(a,2),6132(a,1,2))]. 6282 L(x,x \ 1,y) \ y = T(y * (1 / x),x). [para(65(a,1),6148(a,1,2)),flip(a)]. 6283 K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. [para(5271(a,1),6241(a,1))]. 6284 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) = y * L(T(x \ 1,y),x,z). [para(6250(a,1),5371(a,2,2))]. 6286 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1698(a,1),6253(a,2,2))]. 6287 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6264(a,1),435(a,1,2)),flip(a)]. 6288 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6272(a,2),449(a,1))]. 6289 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(6002(a,2),19(a,1))]. 6290 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [hyper(240,a,175,a(flip),b,6011,a)]. 6291 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6053,a,b,6290,a)]. 6293 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(73,a,6027,a(flip),b,5955,a(flip))]. 6294 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(65(a,1),6293(a,1,2,1,2,1)),flip(a)]. 6295 (x / L(y \ 1,y,z)) * (y \ 1) = (y \ 1) * (L(y \ 1,y,z) \ x). [para(6105(a,1),122(a,1,2)),flip(a)]. 6296 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(240,a,6111,a(flip),b,6120,a),flip(a)]. 6297 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2184(a,2),6121(a,1,2))]. 6298 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(240,a,6102,a(flip),b,6135,a)]. 6299 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3586,a,6298,a)]. 6300 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4848(a,1),6190(a,1,1,1)),flip(a)]. 6301 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6300(a,1),122(a,1,2)),flip(a)]. 6302 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6232(a,1),5305(a,1,2))]. 6304 T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. [para(6251(a,1),218(a,1))]. 6305 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(75,a,6299,a(flip),b,5958,a)]. 6306 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5934(a,2),4947(a,1))]. 6307 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(240,a,6273,a(flip),b,5977,a)]. 6308 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(240,a,5974,a,b,6307,a),flip(a)]. 6309 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(466(a,2),6117(a,1,2))]. 6311 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(240,a,6103,a(flip),b,6176,a)]. 6313 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6311(a,1,2,2,1))]. 6314 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(240,a,124,a(flip),b,6313,a)]. 6315 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(6237,a,6249,a),flip(a)]. 6316 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6249(a,1),6237(a,1))]. 6317 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6315(a,1),6264(a,1,1))]. 6318 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(240,a,3464,a,b,6281,a(flip)),flip(a)]. 6319 (x / y) * (1 / (1 / T(y,z))) = x * ((y \ 1) * T(y,z)). [hyper(240,a,5465,a(flip),b,5965,a(flip))]. 6320 (x / y) * T(1 / (1 / y),z) = x * ((y \ 1) * T(y,z)). [para(2842(a,1),6319(a,1,2))]. 6321 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6227(a,1),6226(a,1,1))]. 6322 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(65(a,1),6321(a,1,2)),flip(a)]. 6323 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6051(a,1),6240(a,1))]. 6324 L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. [para(65(a,1),6323(a,1,1,1))]. 6325 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(240,a,5676,a(flip),b,6246,a)]. 6326 K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. [para(4754(a,1),5904(a,1))]. 6327 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(240,a,6264,a(flip),b,6317,a(flip))]. 6328 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6327(a,2,1,1))]. 6329 K((x * y) \ z,y * x) = K((y * x) \ z,y * x). [para(15(a,1),6328(a,1,1,1,2))]. 6330 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4808(a,2),2494(a,1,2))]. 6331 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5166(a,1),4910(a,1,2))]. 6332 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5278(a,1),5281(a,1,1))]. 6335 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3449(a,1),6332(a,1,1,2)),flip(a)]. 6336 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3449(a,1),6335(a,1,2)),flip(a)]. 6337 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(5855(a,1),5484(a,2,1,1))]. 6338 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5665(a,1,1,2,2,1))]. 6339 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(240,a,5604,a(flip),b,6338,a)]. 6340 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6339(a,1),491(a,1,1))]. 6341 (x * y) \ L(R(y,x,x \ 1),x,y) = x \ K(y,x * y). [para(13(a,1),5792(a,2,2,1))]. 6343 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5794(a,1),14(a,1,2))]. 6344 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4752(a,2),5811(a,1,2)),flip(a)]. 6345 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(240,a,4830,a(flip),b,6344,a)]. 6346 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(4080(a,1),6345(a,1,2))]. 6347 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6346(a,1),65(a,1,1))]. 6348 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3867(a,1),5821(a,1,1)),flip(a)]. 6349 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5597,a,6348,a)]. 6351 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6349(a,1,1,2,1)),flip(a)]. 6352 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(115(a,2),6349(a,1,1))]. 6353 K(R(x,x \ 1,y),z) = K(x,z). [hyper(240,a,341,a(flip),b,6352,a)]. 6354 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6352(a,1,1,2)),flip(a)]. 6355 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6352(a,2),118(a,1,1))]. 6356 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6354(a,1),46(a,1,1)),flip(a)]. 6357 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5068(a,1),6354(a,1,2)),flip(a)]. 6358 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6351(a,2,1,2))]. 6359 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5370(a,1),5850(a,1,1,1)),flip(a)]. 6360 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(240,a,4514,a(flip),b,6359,a)]. 6361 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(240,a,5604,a(flip),b,6360,a(flip)),flip(a)]. 6362 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(704,a,5854,a)]. 6363 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6362(a,1),5646(a,1,1,1)),flip(a)]. 6364 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(240,a,5467,a(flip),b,6363,a)]. 6365 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(6364(a,1),707(a,1,2,1)),flip(a)]. 6366 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = (z / L(x \ 1,x,y)) * K(x \ 1,x). [hyper(75,a,6295,a(flip),b,6192,a)]. 6367 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4815(a,1),6331(a,1,2,2)),flip(a)]. 6368 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6367(a,2),770(a,1))]. 6369 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(240,a,4922,a,b,4932,a(flip)),flip(a)]. 6370 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4932(a,1),728(a,2,1)),flip(a)]. 6371 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5319,a,6370,a)]. 6372 (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(6369(a,1),1730(a,1,1,2)),flip(a)]. 6373 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4935(a,1),898(a,1,1,1))]. 6374 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(864(a,1),5047(a,1,2))]. 6375 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5383(a,1),5390(a,1,2))]. 6376 K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. [para(5805(a,1),5194(a,1))]. 6377 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2804(a,1),5820(a,1,2,2,1)),flip(a)]. 6378 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5451(a,1),6377(a,1,2,2,1)),flip(a)]. 6379 (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). [para(6060(a,1),5954(a,1,2))]. 6380 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6024(a,2),6236(a,1))]. 6381 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) != u | L(x \ 1,x,z) * y = u. [para(6284(a,2),383(a,1))]. 6382 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2543(a,1),6308(a,1,1,1))]. 6384 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4762(a,2),4829(a,2,2,1,1))]. 6385 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(73,a,4837,a(flip),b,4782,a),flip(a)]. 6386 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4815(a,1),5107(a,1,2)),flip(a)]. 6387 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(240,a,28,a,b,6386,a)]. 6388 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6386(a,2),449(a,1))]. 6389 L(L(x,y * z,K(y,u)),z,y) = L(x,z,T(y,u)). [hyper(240,a,45,a,b,6387,a(flip)),flip(a)]. 6390 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3449(a,1),5350(a,1,2,2))]. 6391 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4998(a,1),5369(a,1,1))]. 6392 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3171(a,1),5709(a,1,3))]. 6393 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),5874(a,1,1,1,1,2)),flip(a)]. 6394 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6019(a,1),6393(a,1,2))]. 6395 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3619,a,b,6394,a),flip(a)]. 6397 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5270(a,1),6394(a,1,2))]. 6398 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),6395(a,2,1,2))]. 6399 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(240,a,3502,a,b,6398,a(flip)),flip(a)]. 6400 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3217(a,1),6399(a,1,1,2))]. 6401 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3675,a,6400,a),flip(a)]. 6402 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(123(a,2),6401(a,1,2,2))]. 6403 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(5631,a,6402,a),flip(a)]. 6404 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(240,a,5750,a(flip),b,6403,a(flip))]. 6405 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(240,a,6395,a,b,6404,a(flip)),flip(a)]. 6406 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(908(a,1),5875(a,1,1))]. 6407 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4517(a,1),6406(a,1,1)),flip(a)]. 6408 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5929(a,1),5985(a,1,2)),flip(a)]. 6409 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6408(a,2),483(a,1))]. 6410 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(6409,a,46,a),flip(a)]. 6411 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5518(a,1),6258(a,2,2))]. 6412 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4564(a,1),6407(a,1,2)),flip(a)]. 6413 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(240,a,4936,a,b,6412,a),flip(a)]. 6414 (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. [hyper(73,a,4936,a,b,6412,a)]. 6415 ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = K(y,x) / (x \ T(y,x)). [hyper(75,a,6413,a,b,4811,a),flip(a)]. 6416 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6413(a,2,2,1)),flip(a)]. 6418 ((x * y) \ L(R(y,x,x \ 1),x,y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(4310(a,1),6414(a,1,1,2))]. 6419 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5183(a,1),6416(a,1,2))]. 6420 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(240,a,6397,a(flip),b,6411,a)]. 6421 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(240,a,4846,a(flip),b,4951,a)]. 6422 ((x * y) * z) * u != (x * y) * R(z,x,y) | a(z * K(x * y,z),x,y) = u. [para(6421(a,1),19(a,1)),flip(a)]. 6423 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5279(a,1),5282(a,2,1))]. 6424 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,118,a,b,6423,a),flip(a)]. 6425 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3870,a(flip),b,6423,a)]. 6426 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3542,a(flip),b,6423,a)]. 6427 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6425(a,1,2,1))]. 6428 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6426(a,2),5227(a,2,1,2))]. 6429 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3449(a,1),6424(a,1,1)),flip(a)]. 6431 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5604(a,1),6424(a,1,1)),flip(a)]. 6432 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6111(a,1),6424(a,1,1)),flip(a)]. 6433 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6429(a,1),4800(a,2,2))]. 6434 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6429(a,1),5639(a,1,1)),flip(a)]. 6435 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(5220,a,6434,a)]. 6436 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(569,a,6434,a)]. 6437 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(240,a,118,a(flip),b,6434,a)]. 6438 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(240,a,5223,a(flip),b,6434,a(flip))]. 6439 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6434(a,2),85(a,1)),flip(b)]. 6440 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(167,a,6436,a)]. 6441 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(5054(a,1),6436(a,1,2,1))]. 6442 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(240,a,5607,a(flip),b,6431,a(flip))]. 6443 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(493(a,1),6431(a,1,2)),flip(a)]. 6444 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6442(a,2,2,1))]. 6445 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6442(a,2,2,2))]. 6446 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),6442(a,1,1,2)),flip(a)]. 6447 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(6198(a,1),6445(a,1,1))]. 6448 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(115(a,2),6446(a,1,2))]. 6449 R(K(x,y),T(y,z),u) = K(x,y). [para(3831(a,1),6446(a,1,2)),flip(a)]. 6450 R(K(x,y),y,z) = K(x,y). [para(121(a,1),6449(a,1,2))]. 6451 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6449(a,1),118(a,1,1)),flip(a)]. 6452 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(240,a,5604,a,b,6450,a)]. 6453 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(240,a,5599,a(flip),b,6450,a)]. 6454 K((x * y) / z,x) = K(x / (z / y),x). [hyper(240,a,6358,a(flip),b,6450,a(flip)),flip(a)]. 6455 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(240,a,5634,a(flip),b,6450,a(flip)),flip(a)]. 6456 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(6450(a,2),5612(a,1))]. 6457 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(723(a,1),6455(a,1,1,1))]. 6458 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(5026,a,6448,a)]. 6459 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6448(a,1,2,2)),flip(a)]. 6460 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),6448(a,1,2,2)),flip(a)]. 6461 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(148(a,1),6448(a,1,2,2)),flip(a)]. 6462 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(240,a,6035,a(flip),b,6454,a)]. 6464 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(3898,a,6459,a),flip(a)]. 6465 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(240,a,5634,a(flip),b,6459,a(flip)),flip(a)]. 6466 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6459(a,1),42(a,2,1))]. 6467 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6459(a,1),5342(a,1,1))]. 6468 K((1 / x) \ y,y) = K(y * x,y). [para(60(a,1),6462(a,1,1)),flip(a)]. 6469 K(x * y,y) = K(y * x,y). [hyper(240,a,6187,a(flip),b,6468,a(flip)),flip(a)]. 6470 K(x * (y \ 1),x) = K(y \ x,x). [para(62(a,1),6468(a,1,1,1)),flip(a)]. 6471 T(x * K(x * y,x),y * x) = x. [para(6469(a,1),4777(a,1,1,2))]. 6472 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(6469(a,2),5244(a,1,2))]. 6473 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(6469(a,1),5318(a,1,2,1,2))]. 6474 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4884(a,1),6470(a,1,1,2)),flip(a)]. 6475 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(6470(a,1),5312(a,1,1,2))]. 6476 K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). [para(6470(a,1),6126(a,1,2))]. 6477 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5918(a,1),6472(a,1,2,1))]. 6478 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(3898,a,6447,a),flip(a)]. 6479 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(240,a,5604,a,b,6447,a)]. 6480 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6447(a,1),3898(a,1))]. 6482 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1600(a,1),6478(a,1,2)),flip(a)]. 6483 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(6452(a,1),346(a,1)),flip(b)]. 6486 K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (z \ u))) = w. [para(490(a,2),6483(a,1,2,1))]. 6487 x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. [para(5728(a,2),6483(a,1))]. 6488 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6338(a,2),6483(a,1))]. 6489 L(x,T(y,z),K(u,y)) = x. [hyper(438,a,6451,a)]. 6490 L(T(x,y) \ z,T(u,w),K(v5,u)) = x \ (K(y,x) * z). [hyper(240,a,5079,a,b,6489,a)]. 6491 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4956(a,1),6458(a,2,1))]. 6492 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(500(a,1),6427(a,1,2,1)),flip(a)]. 6493 K(x / y,(x / y) / z) = K(x / y,x / (z * y)). [hyper(3898,a,6444,a)]. 6494 K(x / y,x / (z * y)) = K(x / y,z \ (x / y)). [hyper(6224,a,6493,a),flip(a)]. 6495 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(172(a,2),6453(a,1,2))]. 6496 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6479(a,1),42(a,2,1))]. 6497 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [hyper(240,a,5937,a(flip),b,6428,a)]. 6498 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5320,a,6473,a),flip(a)]. 6499 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4630(a,1),6482(a,1,2,1))]. 6500 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6289,a,6497,a)]. 6501 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(4041,a,6500,a),flip(a)]. 6502 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6501(a,1),1172(a,1,2))]. 6503 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(240,a,271,a(flip),b,6502,a(flip)),flip(a)]. 6505 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(240,a,3636,a(flip),b,6503,a(flip)),flip(a)]. 6506 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1732,a,6505,a)]. 6507 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(182,a,6505,a,b,1170,a)]. 6509 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6506(a,1),16(a,1,1))]. 6510 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6506(a,2),5364(a,1,2,1))]. 6511 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6506(a,1),6442(a,1,1,2))]. 6512 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(73,a,6449,a(flip),b,6440,a(flip)),flip(a)]. 6513 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5333(a,1),6512(a,1,1))]. 6514 K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. [para(5714(a,1),6487(a,1))]. 6515 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6464(a,1),6461(a,1,1))]. 6516 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(240,a,6354,a(flip),b,6515,a(flip))]. 6517 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6516(a,1),5184(a,1,2,1)),flip(a)]. 6518 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6517(a,2),5194(a,1))]. 6519 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5674(a,1),5675(a,1,3)),flip(a)]. 6520 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(6519(a,1),20(a,1))]. 6521 K((x \ y) \ 1,T(x,z)) != u | K((T(x,z) \ T(y,z)) \ 1,x) = u. [para(5529(a,1),5744(a,1))]. 6522 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(6521,a,6019,a)]. 6523 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6238,a,6522,a)]. 6524 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6523(a,1),4980(a,1,2)),flip(a)]. 6525 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(240,a,4980,a(flip),b,6524,a)]. 6526 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5011,a,5754,a),flip(a)]. 6527 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1728(a,1),6526(a,1,1))]. 6528 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(240,a,6507,a(flip),b,6527,a)]. 6529 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(6506(a,1),6528(a,1,1))]. 6530 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(182,a,6529,a,b,3670,a)]. 6532 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6530,a)]. 6533 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6532(a,1),5576(a,1,1,1))]. 6534 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(6533(a,1),1922(a,1,1)),flip(a)]. 6535 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),6373(a,2,1,1))]. 6536 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(240,a,5604,a(flip),b,6492,a)]. 6537 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(240,a,6431,a(flip),b,6536,a(flip)),flip(a)]. 6538 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6198(a,1),6537(a,1,1))]. 6539 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(240,a,6354,a(flip),b,6538,a(flip))]. 6540 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6539(a,1,2,1,1)),flip(a)]. 6541 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(5381(a,1),6539(a,1,2,1))]. 6542 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(240,a,6352,a(flip),b,6540,a(flip))]. 6543 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(5674(a,1),4986(a,1,2,1))]. 6544 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(192(a,1),5224(a,1,2)),flip(a)]. 6545 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4977(a,1),6544(a,1,1,2,1))]. 6546 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(193(a,1),5225(a,1,2)),flip(a)]. 6547 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4977(a,1),6546(a,1,1,2,1))]. 6548 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5166(a,1),5345(a,1,2))]. 6549 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5535(a,1),5742(a,1,1))]. 6550 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5360(a,1),6549(a,1,1,1))]. 6551 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(240,a,1794,a(flip),b,5773,a)]. 6552 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(240,a,4046,a(flip),b,6551,a)]. 6553 (((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(2544(a,2),6058(a,1,2,2,1))]. 6554 (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(2915(a,1),6151(a,1,2,1))]. 6555 ((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1). [para(203(a,1),6554(a,1,2)),flip(a)]. 6556 (x * y) / R(y,x,x \ 1) != z | L((x \ 1) \ 1,x \ 1,x * y) = z. [para(6555(a,1),390(a,1))]. 6557 ((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(6555(a,2),6015(a,2,1))]. 6558 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5218(a,1),6378(a,1,2,2,1,1))]. 6559 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4811(a,1),6558(a,1,2,2,1)),flip(a)]. 6560 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(240,a,970,a(flip),b,6385,a(flip)),flip(a)]. 6561 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(240,a,6375,a(flip),b,6548,a(flip))]. 6562 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3147(a,1),5758(a,1,2,1,1))]. 6563 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3022(a,1),6562(a,1,2))]. 6564 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(6456,a,6028,a),flip(a)]. 6566 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1545(a,1),6564(a,1,1))]. 6567 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(240,a,5483,a(flip),b,6566,a(flip)),flip(a)]. 6568 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6262(a,1),6247(a,1,1))]. 6569 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(6568(a,1),16(a,1,1)),flip(a)]. 6570 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(240,a,6444,a(flip),b,6340,a(flip))]. 6571 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4715(a,1),6570(a,1,1))]. 6572 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6488,a,6571,a)]. 6573 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(122(a,1),6572(a,1,2,2)),flip(a)]. 6574 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1708(a,2),6374(a,1,2))]. 6575 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(230,a,6574,a)]. 6576 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5660(a,1),6575(a,1,2)),flip(a)]. 6577 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5078(a,1),6576(a,2,2))]. 6578 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(65(a,1),6577(a,1,1,2,1))]. 6579 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(65(a,1),6578(a,2,2,1,2))]. 6580 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(73,a,810,a(flip),b,6579,a(flip))]. 6581 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(73,a,6579,a(flip),b,6336,a(flip))]. 6584 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4757(a,1),6579(a,2,2))]. 6586 T(x,x \ (y \ 1)) \ 1 = y * T(y \ (x \ 1),x). [hyper(4533,a,6580,a),flip(a)]. 6587 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(240,a,630,a(flip),b,6580,a)]. 6588 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5050,a,6581,a)]. 6589 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6581(a,1),5050(a,1))]. 6590 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6380,a,6588,a)]. 6591 L(K(x,y),1 / y,z) = K(x,y). [hyper(240,a,4668,a,b,6588,a(flip)),flip(a)]. 6592 (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). [para(6591(a,1),106(a,1,2))]. 6594 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(6326,a,6590,a)]. 6596 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(240,a,6336,a(flip),b,6584,a(flip)),flip(a)]. 6597 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6587(a,1),4531(a,1,1)),flip(a)]. 6598 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6594(a,1),4659(a,2,1))]. 6599 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(3897,a,6597,a)]. 6600 R(x,1 / y,K(z,y)) = x. [hyper(472,a,6592,a)]. 6601 R(x,y \ 1,K(z,y)) = x. [hyper(240,a,4684,a(flip),b,6600,a(flip)),flip(a)]. 6602 R(x,y,K(z,y \ 1)) = x. [para(62(a,1),6600(a,1,2))]. 6603 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(6602(a,1),118(a,1,1)),flip(a)]. 6604 R(x,y \ z,K(u,z \ y)) = x. [para(6111(a,1),6602(a,1,3))]. 6605 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(6604(a,1),468(a,1,1))]. 6606 ((x * y) * (z * K(u,z \ 1))) / ((y * z) * K(u,z \ 1)) = R(R(x,y,z),y * z,K(u,z \ 1)). [para(6603(a,1),475(a,1,1))]. 6607 (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),6605(a,2,1))]. 6608 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(6605(a,1),6343(a,1,2))]. 6609 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6598(a,1),5714(a,1,2)),flip(a)]. 6610 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(240,a,5184,a(flip),b,6609,a)]. 6611 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(6514,a,6610,a)]. 6613 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(240,a,6202,a(flip),b,6610,a(flip)),flip(a)]. 6614 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(240,a,5763,a,b,6613,a(flip)),flip(a)]. 6615 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6614(a,1),4660(a,2,2))]. 6617 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(6256,a,6608,a),flip(a)]. 6619 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,6617,a)]. 6620 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. [para(6617(a,1),209(a,1,2))]. 6622 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),6619(a,1,2,1))]. 6624 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(2196,a,6622,a),flip(a)]. 6625 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). [hyper(886,a,6622,a),flip(a)]. 6626 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,6622,a)]. 6627 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,6622,a)]. 6630 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(171(a,2),6627(a,1,1,2))]. 6632 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4783(a,1),5091(a,2,2))]. 6634 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6632(a,2),449(a,1))]. 6636 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(240,a,4535,a,b,5964,a),flip(a)]. 6637 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = z / L(1 / x,x,y). [hyper(240,a,6379,a(flip),b,6366,a)]. 6638 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4048(a,1),6636(a,1,1)),flip(a)]. 6639 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(6638(a,1),5996(a,1,1)),flip(a)]. 6640 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(240,a,5110,a(flip),b,6639,a)]. 6641 (x * y) \ (x * ((y * z) * ((u * ((y * z) \ y)) / u))) = K(u,L(z,y,x) \ 1). [hyper(1798,a,5283,a)]. 6642 (x * y) \ (x * (y * K(z,u \ 1))) = K(z,L(u,y,x) \ 1). [para(5278(a,1),6641(a,1,2,2))]. 6643 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(449,a,6642,a)]. 6645 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(240,a,4469,a(flip),b,6643,a(flip))]. 6646 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3449(a,1),6643(a,1,1)),flip(a)]. 6647 L(K(x,1 / y),z,u) = K(x,L(y,z,u) \ 1). [para(3451(a,2),6643(a,1,1))]. 6648 L(x,y,z) \ K(x,L(x,u,w) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(73,a,6645,a,b,4470,a)]. 6649 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6645(a,2),4473(a,1,2))]. 6650 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6646(a,1),5649(a,1,1)),flip(a)]. 6651 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6646(a,1),6643(a,1,1)),flip(a)]. 6652 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [hyper(240,a,3451,a,b,6647,a)]. 6653 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(5220,a,6650,a)]. 6655 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(242,a,6650,a),flip(a)]. 6656 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6650(a,2),85(a,1)),flip(b)]. 6657 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(240,a,6274,a,b,6653,a(flip)),flip(a)]. 6658 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6653(a,1),298(a,1,2)),flip(b)]. 6659 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6657(a,1,2,2)),flip(a)]. 6660 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),6657(a,1,2,2)),flip(a)]. 6661 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6657(a,2),106(a,1,2))]. 6662 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(5924(a,1),6657(a,1,2,2)),flip(a)]. 6663 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(240,a,4463,a(flip),b,6659,a(flip))]. 6664 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(240,a,4443,a(flip),b,6659,a(flip))]. 6665 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6664(a,2),4388(a,1,2))]. 6668 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6655(a,1),19(a,1)),flip(a)]. 6669 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6655(a,1),241(a,1,2)),flip(b)]. 6670 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(108(a,1),6660(a,2,2))]. 6671 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(235(a,1),6660(a,2,2))]. 6672 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(454(a,1),6660(a,2,2))]. 6673 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3575(a,1),6660(a,2,2))]. 6674 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6274(a,2),6656(a,1))]. 6675 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(5993,a,6670,a),flip(a)]. 6676 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6670(a,1),5993(a,1))]. 6677 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6675(a,1,2,1)),flip(a)]. 6678 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6675(a,1,2,2))]. 6679 K(x,(y \ 1) \ x) = K(x,y * x). [para(129(a,1),6675(a,1,2)),flip(a)]. 6680 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6675(a,1),4800(a,2,2))]. 6681 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5178(a,1),6675(a,1,2,1)),flip(a)]. 6682 K(x,y * x) = K(x,x * y). [hyper(240,a,5362,a(flip),b,6679,a(flip))]. 6683 K(x,x * (y / x)) = K(x,y). [para(16(a,1),6682(a,1,2)),flip(a)]. 6684 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(94(a,1),6682(a,2,2))]. 6685 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(6682(a,2),5500(a,1,2))]. 6687 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(240,a,6499,a(flip),b,6677,a(flip))]. 6688 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(240,a,4800,a,b,6680,a)]. 6689 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6688(a,1,2,1)),flip(a)]. 6690 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(240,a,6263,a(flip),b,6672,a(flip))]. 6691 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6672(a,1),40(a,2,1))]. 6692 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(6672(a,1),5397(a,1)),flip(b)]. 6693 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(110(a,1),6674(a,1,2))]. 6694 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(240,a,5322,a(flip),b,6649,a(flip)),flip(a)]. 6696 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6694(a,1),16(a,1,1))]. 6697 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1614,a,6696,a)]. 6698 L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. [hyper(240,a,318,a(flip),b,6697,a(flip))]. 6699 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6697(a,1),16(a,1,1))]. 6700 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6697(a,1),65(a,1,1))]. 6702 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6700(a,1),6599(a,2,1,1))]. 6703 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(65(a,1),6671(a,1,1,2)),flip(a)]. 6704 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5183(a,1),6671(a,1,1,2))]. 6705 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(240,a,5522,a(flip),b,6673,a)]. 6706 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(65(a,1),6705(a,1,1,2)),flip(a)]. 6707 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1303(a,1),6687(a,1,2)),flip(a)]. 6708 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(62(a,1),6693(a,1,2,1,2))]. 6712 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6664(a,2),6665(a,2,2,2))]. 6713 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6690(a,2,1))]. 6714 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(1162(a,1),6690(a,2,1))]. 6715 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(240,a,6649,a(flip),b,6648,a(flip))]. 6716 L(x \ 1,y,z) \ (x \ 1) = x \ (1 / L(x \ 1,y,z)). [hyper(73,a,6715,a(flip),b,139,a(flip)),flip(a)]. 6717 L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). [para(2437(a,1),6716(a,2,2))]. 6718 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5785(a,2),6704(a,2,2,1))]. 6719 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6301(a,2),6704(a,2,2,1))]. 6721 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(5804,a,6712,a)]. 6722 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6721(a,1),2943(a,1,1))]. 6723 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6721(a,1),3067(a,1,1))]. 6724 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2443(a,2),6722(a,2,2))]. 6725 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(240,a,122,a(flip),b,6723,a)]. 6727 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(240,a,6725,a(flip),b,6724,a(flip))]. 6728 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6727(a,1),65(a,1,1))]. 6729 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6728(a,1),6702(a,1,1))]. 6730 (L(1 / x,y,z) \ 1) * (1 / x) = L(x \ 1,y,z) \ (1 / x). [para(65(a,1),6729(a,1,1,1,1)),flip(a)]. 6731 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6729(a,1),4082(a,2,1))]. 6732 (L(1 / (x \ y),x \ y,x) \ 1) * (1 / (x \ y)) = (y \ (x * 1)) \ (1 / (x \ y)). [para(454(a,1),6730(a,2,1))]. 6733 ((1 / (1 / (x \ y))) \ 1) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). [para(2293(a,1),6732(a,1,1,1))]. 6734 (x \ (y * 1)) \ (1 / (y \ x)) = (1 / (x \ y)) * (1 / (y \ x)). [hyper(585,a,6733,a),flip(a)]. 6736 (x \ (y * 1)) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [hyper(240,a,4657,a(flip),b,6734,a)]. 6737 (x \ y) \ ((y \ x) \ 1) = (y \ x) \ (1 / (x \ y)). [para(12(a,1),6736(a,1,1,2)),flip(a)]. 6738 ((x * y) \ x) \ (1 / (x \ (x * y))) = y \ (((x * y) \ x) \ 1). [para(13(a,1),6737(a,1,1)),flip(a)]. 6739 (x \ (x * y)) \ (1 / ((x * y) \ x)) = ((x * y) \ x) \ (y \ 1). [para(13(a,1),6737(a,1,2,1)),flip(a)]. 6740 ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). [para(13(a,1),6739(a,1,1)),flip(a)]. 6741 ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). [hyper(240,a,3821,a,b,6740,a(flip)),flip(a)]. 6742 (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. [para(6740(a,1),1308(a,1,2))]. 6743 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4585,a(flip),b,6731,a)]. 6744 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5600,a,6457,a),flip(a)]. 6746 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,5486,a(flip),b,6744,a)]. 6747 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5600,a,6746,a)]. 6749 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5597,a,6747,a)]. 6750 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4791(a,2),4944(a,1,2,1,2,2))]. 6751 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(240,a,2118,a(flip),b,6750,a(flip)),flip(a)]. 6752 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(122(a,1),6751(a,1,1,2))]. 6753 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4549(a,1),6752(a,1,1))]. 6754 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(308,a,6753,a)]. 6756 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(6754(a,1),6384(a,1,1))]. 6757 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(308,a,6756,a),flip(a)]. 6758 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(5981,a,6757,a)]. 6760 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,263,a,b,6758,a)]. 6761 K(T(x,y) \ z,T(x,u)) = T(x,u) \ T(x * K(x \ z,x),u). [para(6760(a,1),5318(a,1,2,1,2)),flip(a)]. 6762 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6760(a,1),5526(a,1,1,1,2))]. 6763 T(x / (x / y),z) \ x = x / T(y,z). [para(4735(a,2),6762(a,1,1,1))]. 6764 L(x,x \ y,x) \ y = y / T(x,y). [para(5314(a,1),6762(a,1,1))]. 6766 x / (x / T(y,z)) = T(x / (x / y),z). [para(6763(a,1),62(a,1,2))]. 6767 x / T(y \ x,z) = T(x / y,z) \ x. [para(62(a,1),6763(a,1,1,1,2)),flip(a)]. 6768 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(144(a,1),6763(a,1,1,1)),flip(a)]. 6771 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(6766(a,1),250(a,1,1)),flip(b)]. 6774 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6767(a,1),65(a,1,1))]. 6775 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(6767(a,1),6361(a,1,2))]. 6776 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(6768(a,1),65(a,1,1))]. 6777 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(123(a,2),6768(a,1,2,1))]. 6778 x / T(y \ x,z) != u | T(x / y,z) \ x = u. [para(6774(a,1),298(a,1,2)),flip(b)]. 6779 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(124(a,1),6776(a,1,1,1)),flip(a)]. 6781 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(6777(a,1),6552(a,1,2))]. 6783 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(6779(a,1),122(a,1,2)),flip(a)]. 6786 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(240,a,6294,a,b,6775,a),flip(a)]. 6787 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6775(a,2),6419(a,1,1))]. 6788 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(6781(a,1),651(a,1,2))]. 6789 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(62(a,1),6783(a,1,1,1,1)),flip(a)]. 6791 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [hyper(240,a,5318,a(flip),b,6761,a)]. 6792 K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(6761(a,2),5320(a,1))]. 6793 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [hyper(240,a,3284,a(flip),b,6791,a)]. 6794 K((x / y) \ z,T(x / y,u)) = K((y \ x) \ z,T(x / y,u)). [para(124(a,1),6791(a,1,1,1)),flip(a)]. 6795 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(6239,a,6793,a)]. 6803 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(118(a,1),6795(a,1,1,1))]. 6804 K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(123(a,1),6792(a,1,1,1))]. 6805 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6787(a,1,2))]. 6806 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [hyper(240,a,270,a,b,6789,a),flip(a)]. 6807 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(18,a,1183,a,b,6806,a),flip(a)]. 6808 T(x,T(x,y) \ z) = T(x,x \ z). [para(3958(a,2),6807(a,1,2,1))]. 6812 T(x,x \ (T(x,y) * z)) = T(x,z). [para(13(a,1),6808(a,1,2)),flip(a)]. 6813 T(x,K(x,y) * z) = T(x,z). [para(5053(a,1),6812(a,1,2))]. 6814 T(x,K(x,y) * z) = x * K(x,z). [hyper(240,a,4800,a(flip),b,6813,a)]. 6815 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(240,a,3231,a(flip),b,6813,a)]. 6817 T(x,K(y,x) * z) = T(x,z). [para(5178(a,1),6813(a,1,2)),flip(a)]. 6818 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6813(a,1),5311(a,1,1))]. 6819 T(x \ y,(y / x) \ z) = T(x \ y,(x \ y) \ z). [para(5325(a,1),6813(a,1,2))]. 6823 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6817(a,1),4312(a,1,3))]. 6824 K(x,K(x,y) * z) = K(x,z). [hyper(4858,a,6814,a)]. 6825 T(x,K(x,y) * z) != u | T(x,z) = u. [para(6814(a,2),4803(a,1))]. 6826 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),6824(a,1,2)),flip(a)]. 6827 K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. [para(6824(a,1),4769(a,1,1))]. 6828 K(x,T(x,y) * z) = K(x,x * z). [para(4815(a,1),6824(a,1,2))]. 6829 K(x,K(y,x) * z) = K(x,z). [para(5178(a,1),6824(a,1,2)),flip(a)]. 6830 K(x,K(y,x) \ z) = K(x,z). [para(5183(a,2),6824(a,1,2))]. 6831 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5530(a,1),6824(a,1,2)),flip(a)]. 6832 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5635(a,1),6829(a,1,2,1))]. 6833 K(x,y \ T(z,x)) = K(x,y \ z). [para(5480(a,1),6829(a,1,2))]. 6835 T(x,T(y,x) \ z) != u | T(x,y \ z) = u. [para(5078(a,1),6825(a,1,2))]. 6836 T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. [para(5530(a,1),6825(a,1,2))]. 6838 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6459(a,1),6832(a,1,2,1))]. 6839 K(x,T(y,R(x,z,u))) = K(x,y). [para(1127(a,2),6838(a,1,2))]. 6841 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(4869(a,1),6838(a,1,2)),flip(a)]. 6842 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5078(a,1),6838(a,1,2))]. 6843 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5178(a,1),6838(a,1,2)),flip(a)]. 6844 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5102(a,1),6843(a,1,2))]. 6845 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),6842(a,1,2,1))]. 6846 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5079(a,1),6823(a,1,2))]. 6847 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5079(a,1),6846(a,2,2))]. 6848 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6847(a,1),435(a,1,2)),flip(a)]. 6849 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3924(a,1),6848(a,1,2,1))]. 6850 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3924(a,1),6849(a,2,2,2))]. 6851 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6850(a,1),3944(a,1,1))]. 6852 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6813(a,1),6818(a,1,2,2)),flip(a)]. 6853 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(240,a,5311,a(flip),b,6852,a)]. 6855 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(240,a,5313,a(flip),b,6853,a(flip))]. 6856 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),6803(a,1,2))]. 6857 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(240,a,3625,a(flip),b,6856,a)]. 6859 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5285(a,1),6337(a,1,1,2))]. 6860 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(240,a,649,a(flip),b,6859,a)]. 6862 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(6860(a,1),16(a,1,1))]. 6863 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5191,a,6862,a)]. 6864 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [hyper(544,a,6862,a),flip(a)]. 6865 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(4769(a,1),6862(a,1,2)),flip(a)]. 6866 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(17,a,6827,a,b,6865,a),flip(a)]. 6868 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(5887,a,6866,a),flip(a)]. 6869 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5886,a,6866,a)]. 6870 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [hyper(240,a,125,a,b,6866,a)]. 6871 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(240,a,5532,a(flip),b,6866,a)]. 6872 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(14(a,1),6866(a,1,1)),flip(a)]. 6873 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),6866(a,2,2))]. 6874 x * T(K(x,y) * z,x) = K(x,y) * (z * x). [para(6866(a,2),5330(a,1,2))]. 6875 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(13(a,1),6869(a,1,2,1)),flip(a)]. 6876 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6869(a,1),1545(a,1,1)),flip(a)]. 6877 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(6869(a,1),5888(a,1,1)),flip(a)]. 6878 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(240,a,4806,a,b,6872,a(flip)),flip(a)]. 6880 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5244(a,1),6875(a,1,1)),flip(a)]. 6881 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(5951,a,6877,a)]. 6883 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(240,a,5928,a,b,6877,a),flip(a)]. 6884 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(73,a,6877,a,b,4779,a)]. 6885 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(124(a,1),6877(a,2,1))]. 6886 T(L(x / y,z,u) * K(y,w),y) = L(y \ x,z,u) * K(y,w). [para(195(a,1),6877(a,2,1))]. 6888 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(6877(a,2),6828(a,1,2))]. 6889 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(182,a,6881,a(flip),b,5056,a)]. 6891 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(421,a,6889,a)]. 6892 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(124(a,1),6889(a,1,1)),flip(a)]. 6893 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(176(a,1),6889(a,1,1)),flip(a)]. 6894 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(6889(a,1),191(a,1,2)),flip(a)]. 6896 T(1 / x,T(y,x)) = T(1 / x,y). [para(1986(a,1),6891(a,1,1)),flip(a)]. 6897 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(2007(a,1),6891(a,1,1)),flip(a)]. 6898 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5695(a,1),6891(a,1,1)),flip(a)]. 6899 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(240,a,6181,a,b,6892,a(flip)),flip(a)]. 6900 T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). [para(6892(a,1),5966(a,1,2))]. 6901 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6893(a,1),660(a,1,1))]. 6902 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(6893(a,1),6179(a,1,2)),flip(a)]. 6903 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(240,a,6178,a,b,6894,a),flip(a)]. 6904 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(75,a,6179,a(flip),b,6894,a)]. 6905 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(399(a,1),6899(a,2,1))]. 6906 T(x / y,K(y,x)) = x / y. [hyper(17,a,4529,a(flip),b,6902,a(flip))]. 6907 T(x,K(y,x * y)) = x. [hyper(18,a,3190,a(flip),b,6903,a(flip))]. 6909 T(T(x,y) / z,K(z,x)) = T(x,y) / z. [para(3195(a,1),6904(a,1,1)),flip(a)]. 6910 T(T(x,y) / z,K(x,z)) = T(x,y) / z. [para(6909(a,1),5690(a,1,1))]. 6911 T(T(T(x,y \ x) / y,K(x,y)),x) = x / y. [para(6910(a,2),4128(a,1,1))]. 6912 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(38(a,1),6901(a,1))]. 6913 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(231,a,6874,a)]. 6914 R(K(x,y),z,x) = K(x,y). [hyper(4689,a,6913,a)]. 6915 L(x,y,K(x,z)) = x. [hyper(4679,a,6913,a)]. 6916 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(240,a,5059,a(flip),b,6913,a)]. 6917 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6913(a,1),390(a,1,1))]. 6918 L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,K(1 / z,u) * (w * (1 / z))). [para(6913(a,1),3808(a,1,3)),flip(a)]. 6919 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(5166(a,1),6913(a,1,1))]. 6920 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6915(a,1),446(a,1,2,1))]. 6921 L(K(x,y),z,K(x,u)) = K(x,y). [para(6915(a,1),6271(a,1,1)),flip(a)]. 6922 L(x,y,T(x,z)) = L(x,y,x). [para(6915(a,1),6389(a,1,1)),flip(a)]. 6923 L(K(x,y),z,K(y,u)) = K(x,y). [para(6915(a,1),6657(a,1,2)),flip(a)]. 6924 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6915(a,1),6661(a,1,2,2))]. 6925 K(x,R(y,z,x)) = K(x,y). [hyper(240,a,6459,a(flip),b,6914,a(flip)),flip(a)]. 6926 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(240,a,6445,a(flip),b,6914,a(flip)),flip(a)]. 6927 K(R(x,y,x),z) = K(x,z). [hyper(240,a,6354,a(flip),b,6914,a(flip)),flip(a)]. 6928 T(x,R(y,z,x)) = x * K(x,y). [para(6925(a,1),4800(a,2,2))]. 6929 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6459(a,1),6925(a,1,2))]. 6930 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(6927(a,1),4800(a,2,2)),flip(a)]. 6931 K(x,R(y,z,y)) = 1 / K(y,x). [para(6927(a,1),4980(a,1,2)),flip(a)]. 6932 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(6927(a,1),5102(a,1,1))]. 6934 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6922(a,1),40(a,2,1))]. 6935 L(x / y,z,x / y) = L(x / y,z,y \ x). [para(124(a,1),6922(a,1,3)),flip(a)]. 6937 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(240,a,6659,a(flip),b,6921,a(flip)),flip(a)]. 6938 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6921(a,1),106(a,1,2))]. 6939 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6921(a,1),4180(a,1,1,1))]. 6940 x / T(K(y,z),x) = K(y,z) \ x. [para(6921(a,1),6764(a,1,1)),flip(a)]. 6941 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(240,a,6267,a(flip),b,6923,a(flip))]. 6944 T(x,R(y,z,x)) = T(x,y). [hyper(240,a,4800,a,b,6928,a)]. 6948 T(x,(y * x) / z) = T(x,y / (z / x)). [para(491(a,1),6944(a,1,2))]. 6949 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(721(a,1),6944(a,1,2))]. 6954 K(x,R(y,z,y)) = K(x,y). [hyper(240,a,4980,a(flip),b,6931,a)]. 6955 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6931(a,2),4982(a,1))]. 6956 R(K(x,y),z,y) = K(x,y). [hyper(240,a,6491,a(flip),b,6954,a(flip)),flip(a)]. 6957 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4224(a,1),6954(a,1,2))]. 6958 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(6954(a,1),5448(a,1,2)),flip(a)]. 6959 (K(x,y) * z) * y = K(x,y) * (z * y). [para(6956(a,1),118(a,1,1)),flip(a)]. 6960 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5195(a,1),6937(a,1,2)),flip(a)]. 6961 x / T(K(y,z),x) = K(z,y) * x. [hyper(240,a,5183,a(flip),b,6940,a)]. 6962 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(6940(a,1),3953(a,1,1))]. 6963 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4224(a,1),6955(a,1,2))]. 6964 K(x,T(y,z)) = T(K(x,y),z). [hyper(240,a,6209,a(flip),b,6957,a(flip))]. 6966 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(123(a,1),6957(a,1,2))]. 6967 K(x,T(y / z,y)) = K(x,z \ y). [para(589(a,1),6957(a,1,2)),flip(a)]. 6968 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1299(a,1),6957(a,1,2,2))]. 6969 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3883(a,1),6957(a,1,2))]. 6970 T(K(x * y,x),y) = K(x * y,x). [hyper(6218,a,6964,a),flip(a)]. 6971 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(240,a,6691,a,b,6964,a),flip(a)]. 6972 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(240,a,6496,a,b,6964,a),flip(a)]. 6973 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(240,a,6466,a,b,6964,a),flip(a)]. 6974 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(240,a,6007,a,b,6964,a),flip(a)]. 6975 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(240,a,5685,a,b,6964,a),flip(a)]. 6976 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(240,a,5680,a,b,6964,a),flip(a)]. 6977 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(240,a,5667,a,b,6964,a),flip(a)]. 6978 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(240,a,5466,a,b,6964,a),flip(a)]. 6979 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(240,a,6211,a(flip),b,6964,a)]. 6980 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(240,a,6055,a(flip),b,6964,a)]. 6981 K(x / y,T(z,x)) = K(y \ x,z). [hyper(240,a,6009,a(flip),b,6964,a)]. 6982 K(x,T(y,K(x,z))) = K(x,y). [hyper(240,a,5694,a(flip),b,6964,a)]. 6984 K(x,T(y,K(z,x))) = K(x,y). [hyper(240,a,2158,a(flip),b,6964,a)]. 6985 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,6964,a)]. 6986 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),6964(a,1,2))]. 6987 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(40(a,2),6964(a,1,2))]. 6988 x * K(y,T(z,x)) = K(y,z) * x. [para(6964(a,2),122(a,1,2))]. 6989 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(6964(a,2),231(a,1,2))]. 6990 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(6964(a,2),175(a,1,2,2))]. 6991 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(6964(a,2),192(a,1,2,1))]. 6992 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(6964(a,2),408(a,1,1,2))]. 6993 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(6964(a,2),544(a,1,2,2))]. 6995 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(6964(a,2),599(a,1,2,2))]. 6996 x * T(K(x,y),z) = T(x,T(y,z)). [para(6964(a,1),4800(a,2,2)),flip(a)]. 6997 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(6964(a,2),5059(a,2,2))]. 6998 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(6964(a,2),5676(a,1,2))]. 6999 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(6964(a,2),5528(a,1,1))]. 7000 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(6964(a,2),5687(a,2,1))]. 7001 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(6964(a,2),6221(a,1))]. 7002 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(6964(a,2),6543(a,1,1))]. 7003 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(42(a,2),6982(a,1,2))]. 7004 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6889(a,1),6984(a,1,2))]. 7005 (K(x,y) * z) \ z = T(K(y,x),z). [para(6961(a,1),65(a,1,1))]. 7006 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(6961(a,1),3953(a,1,1))]. 7007 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(6966(a,1),6670(a,1,1)),flip(a)]. 7008 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(6774(a,1),6966(a,1,2)),flip(a)]. 7009 K(x * y,x) * y = y * K(x * y,x). [para(6970(a,1),122(a,1,2)),flip(a)]. 7010 T(x,K(y,T(x,z))) = x. [para(6974(a,1),3190(a,1,2))]. 7011 R(x,y \ 1,K(z,T(y,u))) = x. [para(6974(a,1),6601(a,1,3))]. 7012 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(6700(a,1),6974(a,1,1)),flip(a)]. 7013 T(x,T(y,T(x,z))) = T(x,y). [para(7010(a,1),6891(a,1,1)),flip(a)]. 7014 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4777(a,1),7011(a,1,3,2))]. 7016 L(x,y / z,K(z \ y,u)) != w | w = x. [para(6981(a,1),3877(a,1,3))]. 7018 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5097(a,1),6981(a,1,2))]. 7021 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(6981(a,1),6351(a,1,1)),flip(a)]. 7022 (x * y) \ (T(x,z) * y) = K(x,T(z,x * y)). [hyper(73,a,4815,a(flip),b,6988,a)]. 7023 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(73,a,6988,a,b,4782,a)]. 7024 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5726,a(flip),b,6988,a)]. 7025 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5191,a,6988,a(flip))]. 7026 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(6988(a,1),19(a,1))]. 7027 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = a(x,u,K(y,T(z,u))). [para(6988(a,1),24(a,2,1,2)),flip(a)]. 7028 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(38(a,1),6988(a,1,2,2))]. 7029 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),6988(a,1,2,2))]. 7030 K(x,y / z) * z = z * K(x,z \ y). [para(124(a,1),6988(a,1,2,2)),flip(a)]. 7031 R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(6988(a,1),118(a,1,2))]. 7033 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(6988(a,1),107(a,1,2,2)),flip(a)]. 7034 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3056(a,1),6988(a,1,2,2))]. 7035 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(6957(a,1),6988(a,1,2))]. 7036 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5671,a,6996,a)]. 7037 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(240,a,6889,a,b,6996,a),flip(a)]. 7038 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(6996(a,1),19(a,1))]. 7039 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(6996(a,1),6325(a,1,2,2))]. 7040 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(124(a,1),7004(a,1,2,2)),flip(a)]. 7041 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(720(a,1),7004(a,1,2,2))]. 7042 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(240,a,6964,a,b,7005,a)]. 7043 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7042(a,1),14(a,1,2))]. 7045 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(6982(a,1),7043(a,1,2))]. 7046 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(725(a,1),6929(a,1,2,2))]. 7047 R(x,y \ K(y,z),K(u,y)) = x. [para(5119(a,1),7014(a,1,2))]. 7048 x / R(y,y \ x,y) = K(y,x) * (y \ x). [hyper(18,a,5906,a,b,6916,a),flip(a)]. 7050 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4780(a,2),6916(a,1,1))]. 7051 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(240,a,42,a,b,6930,a)]. 7052 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(240,a,40,a,b,6934,a)]. 7053 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(240,a,591,a(flip),b,6934,a)]. 7054 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(5057(a,1),6939(a,1,1)),flip(a)]. 7056 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(6939(a,1),5690(a,1,1))]. 7058 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [para(6939(a,1),6891(a,1,1)),flip(a)]. 7059 L(x,y,K(z,x)) = x. [hyper(4679,a,6959,a)]. 7061 T(x,y) \ (z * x) = T(K(y,x) * z,x). [hyper(182,a,6959,a,b,4782,a),flip(a)]. 7065 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7059(a,1),45(a,1,1)),flip(a)]. 7069 L(K(x,y),z,K(u,y)) = K(x,y). [para(7059(a,1),6657(a,1,2)),flip(a)]. 7071 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6279,a,7069,a)]. 7072 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7071(a,1),4771(a,2,1,1))]. 7073 L(x,y,T(x,z)) != u | L(x,y,x) = u. [para(7065(a,1),6634(a,1))]. 7074 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6086(a,1),6969(a,1,2)),flip(a)]. 7075 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6167,a,6977,a),flip(a)]. 7077 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(273(a,1),6978(a,1,1,1)),flip(a)]. 7078 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(6964(a,1),6986(a,2,1))]. 7079 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(6219,a,6998,a)]. 7080 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(240,a,6260,a,b,7079,a(flip)),flip(a)]. 7081 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6470(a,1),7009(a,1,1)),flip(a)]. 7083 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(5603(a,1),7030(a,1,1)),flip(a)]. 7084 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6165,a,7036,a),flip(a)]. 7085 T(x,T(y \ 1,z)) != u | T(x,(y * z) \ z) = u. [para(7036(a,1),6165(a,1))]. 7086 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5678(a,2),7037(a,2,2))]. 7087 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4917(a,1),7040(a,1,2,2)),flip(a)]. 7088 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(73,a,7051,a(flip),b,5066,a)]. 7090 (x * K(y,z)) * K(z,y) = x. [hyper(5349,a,7056,a)]. 7091 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(7056(a,1),5692(a,1,1)),flip(b)]. 7092 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6234,a,7090,a),flip(a)]. 7093 (x \ y) * K(y,x) = x \ T(y,x). [hyper(5995,a,7090,a),flip(a)]. 7094 x / K(y,z) = x * K(z,y). [hyper(307,a,7090,a),flip(a)]. 7098 (x * K(y,z)) \ x = K(z,y). [hyper(81,a,7090,a)]. 7099 x * K(T(y,x),z) = K(y,z) * x. [hyper(18,a,7043,a,b,7090,a)]. 7100 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(18,a,6988,a,b,7090,a)]. 7101 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6067,a,b,7090,a)]. 7102 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(18,a,6012,a,b,7090,a)]. 7103 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,5929,a,b,7090,a)]. 7104 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,5926,a,b,7090,a)]. 7105 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,5152,a,b,7090,a)]. 7106 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(18,a,5111,a,b,7090,a)]. 7107 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,6066,a(flip),b,7090,a)]. 7108 (x * K(y,z)) / z = x / T(z,y). [hyper(75,a,7090,a(flip),b,5928,a),flip(a)]. 7110 x * K(y,z) != u | u * K(z,y) = x. [para(7090(a,1),20(a,1)),flip(a)]. 7111 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(7090(a,1),28(a,2,2,2))]. 7112 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7090(a,1),241(a,1,2)),flip(b)]. 7113 x / K(y,z) != u | x * K(z,y) = u. [para(7090(a,1),299(a,1,1)),flip(b)]. 7114 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7090(a,1),106(a,1,1))]. 7115 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7090(a,1),119(a,2,1))]. 7116 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7090(a,1),669(a,1,1,2))]. 7117 (x * K(y,z)) * T(z,y) = x * z. [para(7090(a,1),5918(a,1,1)),flip(a)]. 7119 (x * K(y,y \ z)) * (y \ z) = x * (z / y). [para(7090(a,1),6192(a,1,1)),flip(a)]. 7120 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7090(a,1),6579(a,1,1)),flip(a)]. 7121 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(240,a,6277,a(flip),b,7094,a(flip))]. 7122 x / K(y,z) != x * u | K(z,y) = u. [para(7094(a,2),19(a,1))]. 7123 (x * K(y,z)) * K(z,y) != u | u = x. [para(7094(a,1),226(a,1,1))]. 7124 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7094(a,1),238(a,1,1))]. 7126 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(7094(a,1),560(a,1,1))]. 7127 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(7094(a,1),3637(a,1,1,2))]. 7128 x / (K(y,z) \ 1) = x * K(y,z). [para(4977(a,2),7094(a,1,2))]. 7130 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(7094(a,1),5605(a,2,2))]. 7131 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(240,a,6646,a(flip),b,7098,a)]. 7132 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7098(a,2),5183(a,1,1))]. 7133 (x * T(y,z)) \ (x * y) = K(z,y). [para(5929(a,1),7098(a,1,1))]. 7134 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5955(a,2),7098(a,1,1))]. 7135 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(6011(a,1),7098(a,1,1))]. 7136 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6352(a,1),7098(a,1,1,2)),flip(a)]. 7138 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7093(a,1,1)),flip(a)]. 7139 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2012,a,7099,a),flip(a)]. 7140 x * K(T(y,x),z) = K(z,y) \ x. [hyper(240,a,5183,a,b,7099,a)]. 7141 K(T(x,y),z) = T(K(x,z),y). [hyper(183,a,7099,a),flip(a)]. 7142 K(T(x,y),z) = K(x,T(z,y)). [hyper(17,a,6988,a,b,7099,a)]. 7143 K(T(x,K(y,z)),y) = K(x,y). [hyper(17,a,2160,a,b,7099,a)]. 7144 K(T(x,y),z / y) = K(x,y \ z). [hyper(17,a,7030,a(flip),b,7099,a)]. 7145 K(T(x / y,x),z) = K(y \ x,z). [hyper(17,a,6008,a(flip),b,7099,a)]. 7147 K(x / y,z) * y = y * K(y \ x,z). [para(124(a,1),7099(a,1,2,1)),flip(a)]. 7148 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [hyper(240,a,6986,a,b,7141,a)]. 7149 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(240,a,6007,a,b,7141,a),flip(a)]. 7150 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7141(a,1),4809(a,2,1)),flip(a)]. 7151 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7141(a,2),6982(a,1,2))]. 7152 x * K(T(y,z),u) = x * K(y,T(u,z)). [para(7141(a,2),6985(a,2,2)),flip(a)]. 7153 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5209,a,7142,a)]. 7154 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(240,a,6980,a,b,7142,a(flip)),flip(a)]. 7155 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(240,a,6573,a,b,7142,a(flip)),flip(a)]. 7157 T(K(x,y),x * z) = K(x,T(y,z)). [hyper(240,a,6055,a,b,7142,a(flip)),flip(a)]. 7158 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(240,a,5456,a,b,7142,a(flip)),flip(a)]. 7159 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(240,a,6033,a(flip),b,7142,a(flip))]. 7160 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7142(a,1,1))]. 7161 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7142(a,1,1))]. 7162 K(x / y,T(z,y)) = K(y \ x,z). [para(124(a,1),7142(a,1,1)),flip(a)]. 7163 K((x * y) / x,T(z,x)) = K(y,z). [para(176(a,1),7142(a,1,1)),flip(a)]. 7164 K(x,T(y,z)) * T(y,T(x,z)) = y. [para(7142(a,1),4769(a,1,1))]. 7165 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7142(a,1),4809(a,2,1)),flip(a)]. 7167 K(x,T(y,z)) \ 1 != u | K(y,T(x,z)) = u. [para(7142(a,1),4999(a,1,1))]. 7168 T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. [para(7142(a,1),4828(a,1,2,2))]. 7169 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5141(a,1),7142(a,1,1)),flip(a)]. 7170 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7142(a,1),5183(a,1,1))]. 7171 (x * y) / (K(z,T(x,u)) * y) = T(x,T(z,u)). [para(7142(a,1),5083(a,1,2,1))]. 7172 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7142(a,1),5193(a,1,1))]. 7173 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7142(a,1),4867(a,1,1))]. 7175 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7142(a,1),7094(a,1,2))]. 7176 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7143(a,1),4809(a,2,1)),flip(a)]. 7177 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7143(a,1),5231(a,1,2))]. 7178 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(853,a,7103,a),flip(a)]. 7179 (x / T(y,z)) * y = x * K(z,y). [hyper(307,a,7103,a),flip(a)]. 7181 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(123(a,1),7103(a,1,1,2))]. 7185 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7103(a,1),5918(a,1,1)),flip(a)]. 7187 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(5624,a,7104,a)]. 7188 x / T(y \ x,z) = y * K(z,y \ x). [hyper(542,a,7104,a),flip(a)]. 7190 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(73,a,7104,a(flip),b,5382,a(flip)),flip(a)]. 7191 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),7104(a,1,1)),flip(a)]. 7192 (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). [para(7104(a,1),6592(a,2,2))]. 7193 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(7142(a,1),7104(a,1,2))]. 7194 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7105(a,1),119(a,2,2))]. 7195 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(124(a,1),7108(a,2,2))]. 7196 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(7108(a,1),5439(a,1,1,2))]. 7197 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(7108(a,1),5440(a,1,1,1,2))]. 7198 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(7108(a,1),6153(a,1,1)),flip(a)]. 7199 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(81,a,7117,a)]. 7200 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(73,a,14,a(flip),b,7117,a)]. 7203 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(182,a,7128,a(flip),b,5178,a),flip(a)]. 7205 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(7133(a,1),224(a,1,2)),flip(b)]. 7208 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(791(a,1),7144(a,1,1))]. 7209 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(675(a,1),7149(a,1,1,1)),flip(a)]. 7210 K(T(x,y * x),z) = K(T(x,y),z). [para(3958(a,2),7149(a,1,1)),flip(a)]. 7211 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7149(a,1),6261(a,1,1)),flip(a)]. 7212 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7153(a,1),4999(a,1))]. 7213 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(14(a,1),7154(a,1,2,2)),flip(a)]. 7214 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(124(a,1),7154(a,1,2)),flip(a)]. 7215 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(6619(a,1),7154(a,1,2)),flip(a)]. 7216 K(x / y,z \ y) = K(y \ x,y / z). [hyper(240,a,6967,a(flip),b,7162,a(flip)),flip(a)]. 7217 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(240,a,5491,a(flip),b,7162,a(flip))]. 7218 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(205(a,1),7162(a,1,2))]. 7219 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(135(a,1),7162(a,1,2))]. 7220 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7162(a,1),4809(a,2,1)),flip(a)]. 7221 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7162(a,1),4810(a,1,1))]. 7222 (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). [para(7162(a,1),5929(a,1,2))]. 7223 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(7163(a,1),5253(a,1,1))]. 7224 T(T(x,y),K(z,x) * u) = T(T(x,y),u). [para(7163(a,1),6817(a,1,2,1))]. 7225 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(7056(a,1),7169(a,1,2))]. 7226 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [hyper(18,a,6129,a,b,7179,a)]. 7229 R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). [hyper(240,a,5919,a,b,7191,a),flip(a)]. 7230 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(7191(a,1),388(a,1))]. 7233 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7142(a,1),7199(a,1,1,2))]. 7234 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(240,a,7040,a,b,7213,a(flip)),flip(a)]. 7235 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7213(a,1,2))]. 7236 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7213(a,1),4800(a,2,2))]. 7237 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6091(a,1),7213(a,1,2))]. 7238 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7213(a,1),6354(a,1,1))]. 7239 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7234(a,1,2,2)),flip(a)]. 7240 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(140(a,1),7234(a,1,2,2)),flip(a)]. 7241 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3995(a,1),7234(a,1,2))]. 7243 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7142(a,1),7110(a,1,2))]. 7246 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5448(a,1),7112(a,1,1))]. 7248 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(6011(a,1),7112(a,1,1))]. 7249 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6287(a,2),7112(a,1,1))]. 7250 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7142(a,1),7113(a,1,2))]. 7251 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6277(a,1),7122(a,1)),flip(a)]. 7254 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7006(a,1),7123(a,1,1)),flip(b)]. 7255 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(6964(a,1),7212(a,1))]. 7257 T(K(x,y) * (z / y),y) = T(y,x) \ z. [para(16(a,1),7061(a,1,2)),flip(a)]. 7258 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7107(a,1),885(a,2,1,2))]. 7259 (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(7107(a,1),3096(a,1,2,1))]. 7260 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7132(a,1),7149(a,1,1)),flip(a)]. 7263 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(973(a,1),7134(a,1,1))]. 7264 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1363(a,1),7134(a,1,1))]. 7265 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6184,a,7138,a)]. 7266 x * (y * K(x * y,x)) = T(x * y,x). [para(7138(a,1),14(a,1,2))]. 7267 (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(7138(a,2),4890(a,1,1))]. 7268 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(5432,a,7265,a),flip(a)]. 7269 K((1 / x) \ y,x) = K(x * y,x). [hyper(5431,a,7265,a)]. 7270 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7265(a,1),6261(a,1,1))]. 7271 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7265(a,1),6264(a,1,1))]. 7272 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(18,a,6138,a,b,7147,a)]. 7273 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(6197(a,1),7150(a,1,1))]. 7274 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(401,a,7152,a(flip),b,7179,a),flip(a)]. 7275 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5334,a,7165,a)]. 7277 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(73,a,106,a(flip),b,7185,a)]. 7278 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(75,a,7185,a(flip),b,3963,a)]. 7279 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1178(a,1),7185(a,1,1))]. 7280 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7185(a,1),3960(a,1,2))]. 7281 T(x / y,z) \ x = y * K(z,y \ x). [hyper(6778,a,7188,a)]. 7283 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(240,a,6978,a,b,7217,a),flip(a)]. 7284 x * K(x / T(y,z),y) = (y \ x) * y. [para(7218(a,2),6758(a,1,2))]. 7285 T(x,y) * T(y,T(z,T(x,y))) = K(y,z) * (x * ((x * y) / x)). [para(4120(a,1),7223(a,1,2)),flip(a)]. 7286 (K(x,y) * z) \ (y * z) = T(T(y,x),z). [hyper(5212,a,7224,a)]. 7287 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(240,a,4800,a,b,7236,a)]. 7288 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(124(a,1),7287(a,1,2)),flip(a)]. 7289 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7287(a,1),4801(a,1,2,1))]. 7290 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(6086(a,1),7241(a,1,2)),flip(a)]. 7291 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(6964(a,2),7275(a,1,2,2))]. 7292 x / (y * K(z,y \ x)) = T(x / y,z). [para(7281(a,1),62(a,1,2))]. 7293 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6239,a,7283,a)]. 7294 T(x,y) * T(T(x,y) \ z,x) = z * K(z / T(x,u),x). [hyper(240,a,6757,a,b,7284,a),flip(a)]. 7296 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(123(a,1),6963(a,1,2))]. 7299 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6209(a,1),6963(a,1))]. 7300 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5667(a,2),7299(a,1))]. 7301 K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. [para(6085(a,2),7299(a,1))]. 7302 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7141(a,2),7299(a,1))]. 7303 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7159(a,2),7299(a,1))]. 7304 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7302(a,1,1))]. 7306 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(6525(a,2),7302(a,1))]. 7307 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(6980(a,2),7302(a,1))]. 7309 K(x,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. [para(360(a,1),7001(a,1,2,1))]. 7310 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(240,a,5328,a,b,7048,a)]. 7311 K(x,y) * (x \ y) = (x \ y) * K(x,y). [hyper(240,a,5927,a(flip),b,7048,a(flip))]. 7312 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(240,a,4771,a,b,7072,a)]. 7313 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(108(a,1),7312(a,1,2))]. 7314 (x * y) * K(z,y) != u | (x * K(z,y)) * y = u. [para(7117(a,1),7205(a,1,1))]. 7316 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(143(a,1),7230(a,1,1))]. 7317 (x * y) * K(z,L(u,y,x)) != w | (x * (y * u)) / T(L(u,y,x),z) = w. [para(142(a,1),7230(a,1,1))]. 7318 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7144(a,1),7230(a,1,2))]. 7322 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4173(a,1),7310(a,1,2))]. 7323 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5146(a,1),6883(a,1,1,1)),flip(a)]. 7324 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(6062,a,6885,a)]. 7325 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(6885(a,2),20(a,1))]. 7327 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(7324(a,1),14(a,1,2))]. 7328 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),7327(a,1,2,1)),flip(a)]. 7329 R(x,y,K(x,z)) = x. [hyper(4689,a,7328,a)]. 7330 L(K(x,y),z,x) = K(x,y). [hyper(4679,a,7328,a)]. 7331 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(240,a,5052,a,b,7328,a),flip(a)]. 7332 T((x \ y) * z,K(x \ y,x)) = (y / x) * (z * K(x \ y,x)). [hyper(182,a,7328,a,b,5354,a)]. 7333 a(x,y,K(x,z)) = 1. [hyper(72,a,7328,a(flip),b,94,a),flip(a)]. 7335 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7328(a,1),5918(a,1,1))]. 7336 R(T(x,y),z,K(x,u)) = T(x,y). [para(7329(a,1),42(a,2,1))]. 7337 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(7329(a,1),46(a,1,1)),flip(a)]. 7338 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7329(a,1),477(a,1,1,1)),flip(a)]. 7339 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7329(a,1),478(a,1,1,1)),flip(a)]. 7342 R(x,y,T(x,z)) = R(x,y,x). [para(7329(a,1),6410(a,1,1)),flip(a)]. 7344 a(x,y,K(x,z)) * u = u. [para(7333(a,2),11(a,1,1))]. 7345 K(L(x,y,x),z) = K(x,z). [hyper(6279,a,7330,a)]. 7346 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(240,a,13,a,b,7330,a)]. 7347 (x * T(y,K(z,x))) \ (x * (K(x,z) * y)) = K(x,z). [hyper(240,a,5704,a,b,7330,a(flip)),flip(a)]. 7348 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(240,a,6672,a(flip),b,7330,a(flip))]. 7349 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(240,a,6671,a(flip),b,7330,a(flip)),flip(a)]. 7350 K(x,L(y,z,x)) = K(x,y). [hyper(240,a,6659,a(flip),b,7330,a(flip)),flip(a)]. 7351 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(73,a,7330,a(flip),b,4232,a),flip(a)]. 7352 (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). [hyper(73,a,7330,a(flip),b,2709,a)]. 7355 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(240,a,7239,a,b,7345,a)]. 7356 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7345(a,1),4870(a,1,1))]. 7357 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7350(a,1,2))]. 7358 K(x,(x \ 1) \ y) = K(x,x * y). [para(456(a,1),7350(a,1,2)),flip(a)]. 7359 T(x,L(y,z,x)) = x * K(x,y). [para(7350(a,1),4800(a,2,2))]. 7360 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7350(a,1),6273(a,1,1)),flip(a)]. 7362 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(124(a,1),7342(a,1,3)),flip(a)]. 7366 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7336(a,1),6410(a,1,1)),flip(a)]. 7367 T(x,L(y,z,x)) = T(x,y). [hyper(240,a,4800,a,b,7359,a)]. 7368 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(235(a,1),7367(a,1,2))]. 7369 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(454(a,1),7367(a,1,2)),flip(a)]. 7370 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(7337(a,1),393(a,1,1)),flip(a)]. 7371 L(K(x,y),z,x) != u | K(x,y) = u. [para(7346(a,2),241(a,1)),flip(b)]. 7373 K(L(x,y,x),z) != u | K(x,z) = u. [para(6273(a,1),7371(a,1))]. 7374 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6659(a,1),7371(a,1))]. 7375 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6671(a,1),7371(a,1))]. 7377 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(5891(a,1),7374(a,1,2))]. 7378 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),7348(a,2,2,2))]. 7379 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(199(a,1),7349(a,1,2,1)),flip(a)]. 7380 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7349(a,1),6195(a,2,2))]. 7381 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3034,a,7356,a)]. 7382 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(73,a,7356,a(flip),b,5068,a),flip(a)]. 7383 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(240,a,4165,a(flip),b,7366,a)]. 7385 R(T(x,x * y),y,T(x,z)) = T(x,y). [hyper(240,a,4158,a(flip),b,7366,a)]. 7386 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7366(a,1),1179(a,1,1))]. 7387 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4777(a,1),7366(a,1,1)),flip(a)]. 7388 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7366(a,1),6954(a,1,2))]. 7389 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(122(a,1),7368(a,1,2,1)),flip(a)]. 7390 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(6836,a,7369,a)]. 7391 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7381(a,1),5740(a,1,1)),flip(a)]. 7392 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6433(a,1),7381(a,2,1))]. 7393 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2514(a,1),7390(a,1,2,1)),flip(a)]. 7394 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7355(a,1),7373(a,1))]. 7396 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7056(a,1),7003(a,1,2,1))]. 7398 (x * y) \ (T(x,z) * y) != u | K(x,T(z,y)) = u. [para(7022(a,2),7307(a,1))]. 7399 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(240,a,5078,a(flip),b,7035,a)]. 7400 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6178(a,2),7039(a,1,2))]. 7401 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(182,a,7050,a,b,984,a)]. 7403 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6689(a,1),7074(a,1,2))]. 7404 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(17,a,6988,a,b,7083,a),flip(a)]. 7405 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(240,a,7075,a(flip),b,7404,a(flip)),flip(a)]. 7406 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),7404(a,2,2,2))]. 7407 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7405(a,1),4800(a,2,2)),flip(a)]. 7408 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(307,a,7092,a),flip(a)]. 7411 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4777(a,1),7120(a,1,2,1))]. 7412 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(123(a,1),7160(a,1,1,1))]. 7413 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(135(a,1),7161(a,2,2))]. 7414 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1735(a,1),7161(a,1,1)),flip(a)]. 7415 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3190(a,1),7161(a,2,2))]. 7416 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(240,a,6891,a(flip),b,7176,a)]. 7417 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5334,a,7416,a)]. 7418 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4282,a,b,7181,a)]. 7422 (x * y) / T(x,x * y) = y * (x \ R(x,y,x)). [para(5244(a,1),7187(a,1,2)),flip(a)]. 7423 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [hyper(386,a,7192,a)]. 7424 (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). [hyper(307,a,7192,a),flip(a)]. 7425 (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. [para(7192(a,1),7117(a,1,1))]. 7426 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4756(a,2),7423(a,1,2))]. 7427 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(7426(a,1),6763(a,1,1,1))]. 7428 (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). [para(6068(a,2),7195(a,1,1))]. 7429 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(4980(a,2),7203(a,1,1))]. 7430 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(240,a,7349,a(flip),b,7214,a)]. 7431 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6678(a,1),7220(a,1,1))]. 7432 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(7226(a,1),65(a,1,1)),flip(a)]. 7433 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(240,a,4587,a(flip),b,7237,a(flip))]. 7437 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6112,a,7268,a)]. 7438 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,6469,a,b,7268,a(flip)),flip(a)]. 7439 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(4128(a,1),7273(a,1,2))]. 7440 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(240,a,7369,a(flip),b,7288,a)]. 7441 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(7322(a,1),65(a,1,1))]. 7442 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7335(a,1),5932(a,1,2))]. 7443 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). [para(7351(a,1),7098(a,1,1))]. 7444 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) != u | K(z,x) = u. [para(7351(a,1),7112(a,1,1))]. 7445 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(7352(a,1),5712(a,2,2,2))]. 7446 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(6906(a,2),7362(a,1,1))]. 7447 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(6835,a,7389,a),flip(a)]. 7448 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(108(a,2),7447(a,1,2))]. 7449 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4860,a,7400,a)]. 7450 K(x,K(y,z)) = K(z,K(y,x)). [hyper(240,a,7080,a(flip),b,7449,a(flip))]. 7451 K(K(x,y),z) = K(x,K(y,z)). [hyper(5688,a,7450,a)]. 7452 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(240,a,7449,a(flip),b,7450,a)]. 7453 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7450(a,1),4770(a,2,1)),flip(a)]. 7454 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7450(a,1),4800(a,2,2)),flip(a)]. 7455 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7450(a,1),4809(a,2,1)),flip(a)]. 7456 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7450(a,1),4785(a,1,1))]. 7457 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7450(a,1),4803(a,1,2))]. 7459 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7450(a,1),5680(a,1,2))]. 7460 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7450(a,1),5683(a,1,1))]. 7461 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7450(a,1),5688(a,1))]. 7462 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7450(a,1),5685(a,1,1))]. 7463 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7450(a,1),5687(a,1,1))]. 7464 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7450(a,1),6975(a,1,1))]. 7465 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7450(a,1),6976(a,1,2))]. 7466 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7450(a,1),7417(a,1,1))]. 7467 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(240,a,5637,a(flip),b,7451,a)]. 7468 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(240,a,6424,a,b,7451,a(flip)),flip(a)]. 7469 K(x,K(y,z)) / z = 1 / T(z,K(x,y)). [hyper(75,a,7451,a(flip),b,4749,a(flip))]. 7470 (x * K(y,z)) * K(y,K(z,x)) = K(y,z) * x. [para(7451(a,1),98(a,1,2))]. 7471 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7451(a,1),4803(a,1,2))]. 7474 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7451(a,1),5706(a,1))]. 7475 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7451(a,1),5645(a,2,1))]. 7476 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7451(a,1),5929(a,1,2))]. 7478 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7451(a,1),6322(a,1,2))]. 7479 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(6826(a,1),7451(a,1,1)),flip(a)]. 7480 (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). [para(7451(a,1),7108(a,1,1,2))]. 7481 (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. [para(7451(a,1),7230(a,1,2))]. 7482 K(x,K(y,z / y)) = K(x,K(y,z)). [para(16(a,1),7452(a,1,2,2)),flip(a)]. 7483 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(94(a,1),7452(a,1,2,2))]. 7484 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6682(a,1),7452(a,1,2))]. 7486 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7079(a,1),7455(a,1,1)),flip(a)]. 7487 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5686,a,7460,a)]. 7488 K(K(x,y),z) = K(y,K(z,x)). [hyper(4999,a,7460,a)]. 7489 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7460(a,1),5686(a,1))]. 7490 K(K(x,y),z) = K(y,K(x,z)). [hyper(240,a,7451,a,b,7487,a),flip(a)]. 7491 K(x,K(y,z)) = K(z,K(x,y)). [hyper(240,a,7450,a,b,7487,a)]. 7492 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(240,a,7079,a(flip),b,7487,a)]. 7493 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7487(a,1),4800(a,2,2)),flip(a)]. 7494 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7487(a,1),4809(a,2,1)),flip(a)]. 7495 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7487(a,1),4803(a,1,2))]. 7496 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7487(a,1),4810(a,1,1))]. 7497 x * (K(y,K(x,z)) * u) != w | T(x,K(y,z)) * u = w. [para(7487(a,1),5098(a,1,2,1))]. 7498 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7487(a,1),5118(a,1,2))]. 7499 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7487(a,1),5680(a,1,2))]. 7500 K(x,K(y,z)) * (y * u) != w * v5 | w \ (T(y,K(x,z)) * u) = v5. [para(7487(a,1),5104(a,1,1))]. 7501 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6682(a,2),7487(a,1,2))]. 7502 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(6937(a,1),7487(a,1,2)),flip(a)]. 7503 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7487(a,1),7454(a,1,2))]. 7504 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7487(a,1),7455(a,1,1))]. 7505 K(K(x,y),z) = K(x,K(z,y)). [hyper(240,a,7450,a,b,7488,a)]. 7506 K(K(x,y),z) = K(z,K(x,y)). [hyper(240,a,7450,a,b,7490,a)]. 7507 K(x,K(y,z)) = K(x,K(z,y)). [hyper(240,a,7488,a(flip),b,7490,a(flip))]. 7508 K(x,K(y,z)) * K(y,x) = T(K(y,x),z). [para(7490(a,1),4809(a,2,1)),flip(a)]. 7509 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7490(a,1),4774(a,1,1))]. 7510 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5637(a,1),7490(a,1,1)),flip(a)]. 7511 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7490(a,1),5706(a,1))]. 7512 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(240,a,6998,a,b,7491,a),flip(a)]. 7514 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(240,a,7080,a(flip),b,7491,a)]. 7516 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7491(a,2),4815(a,1,1))]. 7517 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(7491(a,1),5688(a,1))]. 7518 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7491(a,2),5479(a,1,1))]. 7519 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(7491(a,2),5929(a,1,2))]. 7520 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7491(a,2),6015(a,1,1,2))]. 7521 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7491(a,2),6010(a,2,2))]. 7522 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7491(a,2),6052(a,1,2,2))]. 7523 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7491(a,2),6862(a,1,1))]. 7524 K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). [para(7491(a,1),6975(a,1,1))]. 7525 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7491(a,2),6975(a,1,1))]. 7526 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7491(a,1),6976(a,1,2))]. 7527 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7491(a,2),6976(a,1,2))]. 7528 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7142(a,1),7491(a,1,2))]. 7529 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7491(a,2),7108(a,1,1,2))]. 7530 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7491(a,1),7454(a,1,2))]. 7531 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7491(a,1),7455(a,1,1))]. 7532 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7505(a,1),5706(a,1))]. 7533 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(74,a,7506,a,b,7090,a),flip(a)]. 7534 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7506(a,1),4800(a,2,2)),flip(a)]. 7535 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7506(a,1),4782(a,2,1))]. 7536 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7506(a,1),5078(a,1,1))]. 7537 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(7506(a,1),5178(a,1,1))]. 7538 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7506(a,1),5183(a,1,1))]. 7539 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7506(a,1),5191(a,1,1))]. 7540 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7506(a,1),5193(a,1,1))]. 7541 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7506(a,1),5200(a,1,1))]. 7542 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7506(a,1),5235(a,1,1))]. 7545 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7506(a,1),5706(a,1))]. 7546 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7506(a,1),7104(a,1,2))]. 7547 x / K(y,K(z,u)) != w | x * K(y,K(z,u)) = w. [para(7506(a,1),7113(a,1,2))]. 7549 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [para(7506(a,1),7187(a,1,2,2))]. 7551 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5482(a,1),7507(a,1,2)),flip(a)]. 7552 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7507(a,1),6976(a,1,2))]. 7554 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(4302(a,1),7482(a,1,2))]. 7555 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(4959(a,1),7482(a,1,2))]. 7556 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5772(a,1),7482(a,1,2))]. 7557 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7492,a)]. 7558 K(x \ y,K(x,z)) = K(x,K(y,z)). [para(14(a,1),7492(a,1,2,1)),flip(a)]. 7559 T(x,K(y,z * x)) = K(y,K(x,z)) * x. [para(7452(a,1),7494(a,1,1)),flip(a)]. 7560 T(x,K(y,z)) = T(x,K(z,y)). [hyper(240,a,7454,a(flip),b,7503,a(flip))]. 7561 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6912,a,7560,a),flip(a)]. 7562 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5692,a,7560,a)]. 7563 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5198,a,7560,a)]. 7564 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(421,a,7560,a)]. 7565 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(240,a,7006,a,b,7560,a),flip(a)]. 7566 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(240,a,6899,a,b,7560,a),flip(a)]. 7567 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(240,a,7056,a(flip),b,7560,a)]. 7568 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(240,a,6939,a(flip),b,7560,a)]. 7569 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(240,a,6178,a(flip),b,7560,a)]. 7570 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7560(a,1),122(a,1,2))]. 7571 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7560(a,1),421(a,1))]. 7572 K(x,y) * T(T(z,K(y,x)),u) != w | T(z,u) * K(x,y) = w. [para(7560(a,1),382(a,1,2,1))]. 7573 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7560(a,1),4131(a,1,2))]. 7574 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7560(a,1),5691(a,1,1))]. 7575 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7560(a,1),6891(a,1,1))]. 7576 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(728(a,2),7562(a,1,1)),flip(a)]. 7577 (x * K(y,z)) / x = T(K(y,z),x). [para(7562(a,1),4042(a,1,2))]. 7578 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7562(a,1),5692(a,1,1)),flip(b)]. 7579 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(7562(a,1),6891(a,1,1)),flip(a)]. 7581 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(240,a,7491,a,b,7514,a)]. 7583 K(x,K(y,x \ z)) = K(y,K(x,z)). [hyper(240,a,7487,a,b,7555,a(flip)),flip(a)]. 7585 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7557(a,1,2,1)),flip(a)]. 7586 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(240,a,7491,a,b,7558,a(flip)),flip(a)]. 7587 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7561(a,1),5691(a,1,1))]. 7589 T(x,T(x * y,y)) = T(x,x * y). [para(6907(a,1),7575(a,1,1)),flip(a)]. 7590 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(240,a,6964,a,b,7577,a)]. 7591 T(K(x,y),z) * z = z * K(x,y). [para(7577(a,1),16(a,1,1))]. 7592 T(T(K(x,y),z),z) = K(x,y). [para(7577(a,1),176(a,1,1))]. 7593 (x * K(y,z)) / x != u | K(y,T(z,x)) = u. [para(7577(a,2),7299(a,1))]. 7594 K(x,T(T(y,z),z)) = K(x,y). [hyper(240,a,7078,a,b,7592,a(flip)),flip(a)]. 7595 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7592(a,1),215(a,1,2,2,1))]. 7596 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5469(a,2),7592(a,1,1))]. 7597 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5678(a,2),7592(a,1,1))]. 7598 T(K(x \ y,z),y) = K(y / x,z). [para(6009(a,1),7592(a,1,1))]. 7599 T(K(x,T(y,z)),z) = K(x,y). [para(6964(a,2),7592(a,1,1))]. 7600 K(T(x,y),T(z,y)) = K(x,z). [hyper(7212,a,7594,a)]. 7601 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(240,a,7161,a,b,7594,a(flip)),flip(a)]. 7602 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(240,a,7160,a,b,7594,a(flip)),flip(a)]. 7604 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(240,a,7355,a(flip),b,7594,a(flip))]. 7605 K((x * y) / x,z) = K(y,T(z,x)). [hyper(240,a,7163,a(flip),b,7594,a(flip))]. 7606 K(x \ y,T(z,x)) = K(y / x,z). [hyper(240,a,7162,a(flip),b,7594,a(flip)),flip(a)]. 7607 K(x,T(y \ z,z)) = K(x,z / y). [hyper(240,a,7008,a(flip),b,7594,a(flip)),flip(a)]. 7608 K(x \ y,T(z,y)) = K(y / x,z). [hyper(240,a,6981,a(flip),b,7594,a(flip)),flip(a)]. 7609 K(x,T(y \ z,y)) = K(x,z / y). [para(124(a,1),7594(a,1,2,1))]. 7610 K(x,(y * z) / y) = K(x,T(z,y)). [para(176(a,1),7594(a,1,2,1)),flip(a)]. 7611 K(x,T(y,z)) * z = z * K(x,y). [para(7594(a,1),6988(a,1,2)),flip(a)]. 7613 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7594(a,1),7165(a,1,1)),flip(a)]. 7614 x * K(y,z) != u | K(y,T(z,x)) * x = u. [para(7594(a,1),6989(a,1,2))]. 7615 T(K(x,y \ z),y) = K(x,z / y). [para(124(a,1),7599(a,1,1,2))]. 7616 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7599(a,1),184(a,1,2)),flip(b)]. 7617 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7599(a,1),193(a,1,2,1)),flip(a)]. 7618 T(K(x \ y,z),x) = K(y / x,z). [para(7162(a,1),7599(a,1,1))]. 7621 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7600(a,1,2))]. 7622 K(T(x,y),y \ z) = K(x,z / y). [para(124(a,1),7600(a,1,2))]. 7623 K(x,(y * z) / y) = K(T(x,y),z). [para(176(a,1),7600(a,1,2)),flip(a)]. 7624 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(966(a,1),7600(a,1,2))]. 7625 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1277(a,1),7600(a,1,1)),flip(a)]. 7626 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3976(a,1),7600(a,1,2))]. 7627 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(4140(a,1),7600(a,1,1))]. 7628 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(4216(a,1),7600(a,1,1)),flip(a)]. 7629 K(x * K(y,x),z) = K(x,T(z,y)). [para(4777(a,1),7600(a,1,1)),flip(a)]. 7630 K(x,y * K(z,y)) = K(T(x,z),y). [para(4777(a,1),7600(a,1,2)),flip(a)]. 7631 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7600(a,1),4800(a,2,2))]. 7632 x * K(T(x,y),T(z,y)) = T(x,z). [para(7600(a,2),4800(a,2,2)),flip(a)]. 7634 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(4838(a,1),7600(a,1,1)),flip(a)]. 7635 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7600(a,1),5164(a,1,1)),flip(a)]. 7636 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7600(a,1),5317(a,1,1)),flip(a)]. 7637 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(7600(a,1),6273(a,1,1))]. 7638 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7600(a,1),6459(a,1,1))]. 7639 L(K(x,y),z * T(y,u),w) = K(T(x,u),L(T(y,u),z,w)). [para(7600(a,1),6659(a,1,1))]. 7640 K(T(x,y),z) * y = y * K(x,z). [para(7600(a,1),6988(a,1,2)),flip(a)]. 7641 K(x,T(y,z)) * (z * K(y,x)) = z. [para(7600(a,1),7025(a,1,2,2))]. 7642 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [hyper(655,a,7579,a)]. 7643 K(x,K(y,x \ z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7583,a)]. 7644 K(x,K(x \ y,z)) = K(x,K(z,y)). [hyper(240,a,7507,a,b,7585,a)]. 7645 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7590(a,1),256(a,1,1)),flip(b)]. 7646 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(7590(a,1),83(a,1,1)),flip(b)]. 7648 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(7590(a,1),785(a,1,1)),flip(a)]. 7649 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7590(a,1),850(a,1,1,1))]. 7650 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7590(a,1),1579(a,1,1,1))]. 7652 K(x \ y,z) * y = y * K(y / x,z). [para(6009(a,1),7591(a,1,1))]. 7653 K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). [para(6986(a,2),7591(a,1,1))]. 7654 T(K(x \ y,z),y) = K((x / y) \ 1,z). [hyper(240,a,5486,a,b,7598,a)]. 7655 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(240,a,6213,a(flip),b,7598,a(flip)),flip(a)]. 7656 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7598(a,1),255(a,1,2,2))]. 7657 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7598(a,1),6221(a,1))]. 7658 x / K(x / y,z) = K(y \ x,z) \ x. [para(7598(a,1),6940(a,1,2))]. 7659 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(94(a,1),7605(a,1,1,1))]. 7661 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7605(a,1),5253(a,1,1))]. 7663 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [hyper(6163,a,7606,a)]. 7664 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(38(a,1),7606(a,1,2))]. 7665 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(458(a,2),7606(a,1,1))]. 7666 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7606(a,1),5925(a,1,2)),flip(a)]. 7667 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7394,a,7607,a)]. 7668 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),7607(a,1,2,1)),flip(a)]. 7671 K(x / (x / y),z) = K(y,T(z,x)). [hyper(240,a,649,a(flip),b,7608,a(flip))]. 7672 K(x / y,z / x) = K(y \ x,x \ z). [para(124(a,1),7608(a,1,2)),flip(a)]. 7673 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(6813(a,1),7608(a,1,2))]. 7674 K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). [hyper(7307,a,7609,a)]. 7675 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7609(a,1,2,1)),flip(a)]. 7676 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(800(a,1),7610(a,1,2)),flip(a)]. 7677 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5151,a,7611,a)]. 7678 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,5785,a,b,7611,a)]. 7679 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5726,a,b,7611,a)]. 7680 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(75,a,7611,a(flip),b,4780,a)]. 7681 L(L(x,y,K(z,T(u,y))),K(z,T(u,y)) * y,w) = (w * (y * K(z,u))) \ (w * (K(z,T(u,y)) * (y * x))). [para(7611(a,1),442(a,1,1,2)),flip(a)]. 7682 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7611(a,1),4779(a,1,2)),flip(a)]. 7683 (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(7611(a,1),5197(a,1,1,3)),flip(a)]. 7684 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6210(a,1),7611(a,1,1))]. 7685 T(x,y * K(x,z)) = T(x,y). [para(7611(a,1),6813(a,1,2))]. 7686 K(x,y * K(x,z)) = K(x,y). [para(7611(a,1),6824(a,1,2))]. 7689 K(x,y * K(x,z)) = x \ T(x,y). [hyper(73,a,7685,a(flip),b,4800,a(flip)),flip(a)]. 7690 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7685(a,1),192(a,1,2,1))]. 7692 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7685(a,1),3926(a,1,2,1))]. 7694 T(x,y * T(x,z)) = T(x,y * x). [para(5929(a,1),7685(a,1,2))]. 7695 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6646(a,1),7685(a,1,2,2))]. 7696 T(x,y * (z * K(x,u))) = T(x,y * z). [para(6661(a,1),7685(a,1,2))]. 7697 T(x,y * K(z,x)) = T(x,y). [para(7090(a,1),7685(a,1,2)),flip(a)]. 7698 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(7101(a,1),7685(a,1,2)),flip(a)]. 7699 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7685(a,1),7606(a,1,2))]. 7700 K(x,K(y,x * K(y,z))) = 1. [para(7686(a,2),3194(a,1,2))]. 7701 K(x,y / T(x,z)) = K(x,y / x). [para(5926(a,1),7686(a,1,2)),flip(a)]. 7702 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7686(a,1),6477(a,1,1)),flip(a)]. 7703 K(x,y * K(z,x)) = K(x,y). [para(7090(a,1),7686(a,1,2)),flip(a)]. 7704 K(x,y / T(z,x)) = K(x,y / z). [para(7104(a,1),7686(a,1,2))]. 7705 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(7101(a,1),7686(a,1,2)),flip(a)]. 7706 K(x * K(y,z),z) = 1 / K(z,x). [para(7703(a,1),4980(a,1,2)),flip(a)]. 7707 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7703(a,1),6450(a,1,1))]. 7709 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(240,a,5486,a,b,7618,a)]. 7712 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7697(a,1),7622(a,1,1))]. 7713 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(240,a,4964,a,b,7623,a(flip)),flip(a)]. 7714 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(793(a,2),7623(a,1,2))]. 7715 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(7623(a,2),7302(a,1))]. 7716 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(240,a,5217,a,b,7629,a(flip)),flip(a)]. 7717 (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). [para(7629(a,1),4800(a,2,2)),flip(a)]. 7718 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7142(a,1),7629(a,1,1,2))]. 7719 K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)). [hyper(240,a,7148,a(flip),b,7630,a)]. 7720 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5130(a,2),7630(a,1,2,2))]. 7721 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7630(a,1),5453(a,1,2,2)),flip(a)]. 7722 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4849(a,1),7632(a,1,2,2)),flip(a)]. 7723 x / (x * K(y,z)) = K(z,T(y,x)). [para(7640(a,1),5184(a,1,2))]. 7724 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(7640(a,1),5194(a,1,2))]. 7725 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7640(a,1),6838(a,1,2))]. 7726 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7260(a,1),7640(a,1,1))]. 7727 K(x,K(y,x * z)) = K(x,K(y,z)). [para(13(a,1),7643(a,1,2,2)),flip(a)]. 7728 K(x,y / (y / z)) = K(T(x,y),z). [hyper(240,a,7142,a,b,7668,a)]. 7731 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7668(a,1),6391(a,1,2))]. 7732 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(6766(a,1),7671(a,1,1))]. 7733 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7689(a,2),4860(a,1))]. 7734 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(240,a,4193,a(flip),b,7694,a)]. 7735 K(x * K(y,z),z) = K(x,z). [hyper(240,a,4980,a(flip),b,7706,a)]. 7736 K(x * K(y,z),z) != u | K(x,z) = u. [para(7706(a,2),4982(a,1))]. 7737 K(x * T(y,z),z) = K(x * y,z). [para(1329(a,1),7735(a,1,1))]. 7739 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7735(a,1),3867(a,1,1))]. 7740 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5644(a,1),7735(a,1,1,2))]. 7742 K(x * K(y,z),y) = K(x,y). [para(7090(a,1),7735(a,1,1)),flip(a)]. 7743 K(K(x,y) * z,y) = K(z,y). [para(7099(a,1),7735(a,1,1))]. 7744 K(K(x,y) * z,x) = K(z,x). [para(7100(a,1),7735(a,1,1)),flip(a)]. 7745 K(x * T(y,z),y) = K(x * y,y). [para(7103(a,1),7735(a,1,1)),flip(a)]. 7746 K(K(x,y) \ z,x) = K(z,x). [para(7140(a,1),7735(a,1,1))]. 7748 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7742(a,1),5463(a,1,1,1,2)),flip(a)]. 7749 K(x / (y / z),y / z) = K(x / (z \ y),y / z). [para(5953(a,1),7742(a,1,1))]. 7750 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6661(a,1),7742(a,1,1))]. 7751 K(T(x,y) * z,x) = K(x * z,x). [para(4783(a,1),7743(a,1,1)),flip(a)]. 7752 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7163(a,1),7743(a,1,1,1))]. 7754 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7744(a,1),5974(a,1,1))]. 7755 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6429(a,1),7744(a,1,1,1))]. 7756 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7744(a,1),7451(a,1,1)),flip(a)]. 7757 T(x,x * (y / T(x,z))) = T(x,y). [para(66(a,1),7734(a,1,2)),flip(a)]. 7758 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6009(a,1),7737(a,1,1,2)),flip(a)]. 7759 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6104(a,1),7737(a,1,1)),flip(a)]. 7760 K(x * T(y,z),y) = K(y * x,y). [hyper(240,a,6469,a(flip),b,7745,a)]. 7761 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(240,a,7751,a,b,7760,a),flip(a)]. 7762 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7760(a,1,1)),flip(a)]. 7763 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5682(a,2),7474(a,1))]. 7766 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7490(a,2),7474(a,1))]. 7767 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7505(a,2),7474(a,1))]. 7768 K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. [para(7492(a,2),7489(a,1))]. 7769 K(x,K(x * y,z)) != u | K(y,K(x,z)) = u. [para(7557(a,2),7489(a,1))]. 7770 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7142(a,1),7511(a,1,2))]. 7771 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(6998(a,2),7532(a,1))]. 7772 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7142(a,1),7545(a,1,2))]. 7773 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7162(a,2),7545(a,1,2))]. 7774 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7452(a,2),7545(a,1))]. 7777 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(3452(a,1),7645(a,1,1))]. 7778 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6009(a,1),7645(a,1))]. 7779 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(6839(a,1),7645(a,1,1))]. 7780 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6964(a,2),7645(a,1))]. 7782 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7141(a,2),7645(a,1))]. 7783 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(7618(a,1),7645(a,1))]. 7784 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6273(a,1),7695(a,1,2,2))]. 7785 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5953(a,1),7725(a,1,2))]. 7787 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(7101(a,1),7733(a,1,2))]. 7788 K(x * y,y) != z | K(y * x,y) = z. [para(98(a,1),7736(a,1,1))]. 7789 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1327(a,1),7736(a,1,1))]. 7790 K(K(x,y) * z,y) != u | K(z,y) = u. [para(7099(a,1),7736(a,1,1))]. 7792 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6659(a,1),7740(a,1,1,2))]. 7793 K((K(x,y) * z) * u,x) = K(z * u,x). [para(118(a,1),7755(a,1,1))]. 7794 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6354(a,1),7755(a,1,1,1))]. 7795 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6091(a,2),7777(a,1))]. 7796 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(124(a,1),7780(a,1,2,1))]. 7797 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7162(a,1),7780(a,1))]. 7800 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7008(a,1),7780(a,1))]. 7801 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7160(a,2),7780(a,1))]. 7802 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7605(a,2),7780(a,1))]. 7803 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7782(a,1,2))]. 7805 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7782(a,1,2))]. 7806 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(124(a,1),7782(a,1,2))]. 7807 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(791(a,1),7782(a,1,1))]. 7808 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(98(a,1),7784(a,1,2))]. 7809 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(450(a,1),7784(a,1,2))]. 7810 K(T(x,y) \ z,x) != u | K(x \ z,x) = u. [para(5078(a,1),7790(a,1,1))]. 7811 K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. [para(5530(a,1),7790(a,1,1))]. 7812 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(263(a,1),7792(a,1,1))]. 7813 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7100(a,1),7792(a,1,1)),flip(a)]. 7815 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4783(a,1),7794(a,1,1)),flip(a)]. 7816 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7813(a,1),7629(a,1,1,2)),flip(a)]. 7817 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7213(a,1),7453(a,1,1,2))]. 7818 K(x,K(y,R(x,z,u))) = 1. [hyper(72,a,3063,a(flip),b,7459,a),flip(a)]. 7819 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(6830(a,1),7459(a,1,2,2)),flip(a)]. 7820 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7459(a,2),7299(a,1))]. 7821 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7818,a)]. 7822 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7821(a,1),38(a,1,1)),flip(a)]. 7824 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(6982(a,1),7462(a,1,1,2)),flip(a)]. 7825 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7464(a,1),5696(a,1))]. 7826 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7465(a,1),19(a,1))]. 7827 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7466(a,1),6813(a,1,2))]. 7828 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7466(a,1),6843(a,1,2))]. 7829 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(124(a,1),7827(a,1,2,2)),flip(a)]. 7830 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(240,a,7451,a(flip),b,7479,a)]. 7831 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(240,a,7504,a(flip),b,7486,a)]. 7832 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(240,a,7455,a(flip),b,7486,a)]. 7833 T(x,K(y \ z,y)) = T(x,K(y,z)). [para(14(a,1),7831(a,1,2,2)),flip(a)]. 7834 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7831(a,1),7575(a,1,1))]. 7835 T(x,K(y * z,y)) = T(x,K(y,z)). [hyper(7578,a,7832,a)]. 7836 T(x,K(y,y * T(x,z))) = x. [hyper(240,a,7010,a(flip),b,7832,a)]. 7837 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [hyper(240,a,6902,a(flip),b,7832,a)]. 7838 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7832(a,1,2,2)),flip(a)]. 7839 T(x,K(y,z / y)) = T(x,K(y,z)). [para(6683(a,1),7832(a,1,2)),flip(a)]. 7840 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,7836,a)]. 7841 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,7833,a)]. 7842 K(x \ y,x) * T(z,K(x,y)) = z * K(x \ y,x). [para(7833(a,1),122(a,1,2))]. 7843 T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. [para(7833(a,2),7578(a,1))]. 7844 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(240,a,6939,a(flip),b,7835,a(flip))]. 7845 T(x,K(y,y \ z)) = T(x,K(z,y)). [para(14(a,1),7835(a,1,2,1)),flip(a)]. 7846 T(x,K(y * z,z)) = T(x,K(z,y)). [para(6469(a,2),7835(a,1,2))]. 7849 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(240,a,7832,a,b,7839,a)]. 7850 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7845(a,2),7578(a,1))]. 7851 T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. [para(7846(a,2),7578(a,1))]. 7852 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7142(a,1),7499(a,1,2,2))]. 7853 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7508(a,2),7299(a,1))]. 7854 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2161,a,7512,a)]. 7856 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7525(a,1),4779(a,1,2)),flip(a)]. 7857 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(7557(a,1),7525(a,1,1))]. 7858 (x / y) * K(y,K(z,y \ x)) = (y \ x) * K(y,T(y \ x,z)). [para(7526(a,1),5380(a,1,2)),flip(a)]. 7859 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7144(a,1),7526(a,1,2,2))]. 7860 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7557(a,1),7527(a,1,2))]. 7861 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(240,a,7558,a(flip),b,7528,a(flip))]. 7862 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7234(a,1),7528(a,2,2))]. 7863 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(7528(a,1),7532(a,1))]. 7865 K(x,T(y,z)) != K(x,y) * u | K(z,K(x,y)) = u. [para(7552(a,1),19(a,1))]. 7866 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7545,a,7556,a),flip(a)]. 7867 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(240,a,7494,a(flip),b,7559,a)]. 7868 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,7867,a)]. 7869 T(x,K(y,z / x)) = T(x,K(y,z)). [para(16(a,1),7867(a,1,2,2)),flip(a)]. 7870 T(x,K(y,z)) * K(z * x,y) = K(z * x,y) * x. [para(7867(a,1),5691(a,1,1))]. 7871 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7578,a,7868,a)]. 7872 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(182,a,6962,a,b,7563,a)]. 7873 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(5926(a,1),7563(a,1,2)),flip(a)]. 7874 T(x,K(y,z)) * K(x * K(z,y),u) = K(y,z) * T(x * K(z,y),u). [para(7563(a,1),5929(a,1,1))]. 7875 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7094(a,2),7563(a,1,2))]. 7876 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7103(a,1),7563(a,1,2)),flip(a)]. 7877 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). [para(5327(a,2),7565(a,1,1))]. 7878 T((x / y) \ z,K(y,y \ x)) = ((y \ x) \ z) * K(y \ x,y). [para(5530(a,1),7565(a,1,1)),flip(a)]. 7879 T(x,K(y,z)) * K(y,z) != u | K(y,z) * x = u. [para(7565(a,1),7123(a,1,1)),flip(b)]. 7880 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5694(a,1),7566(a,1,2)),flip(a)]. 7881 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(7567(a,1),5692(a,1,1)),flip(b)]. 7882 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(7567(a,1),5693(a,1,1))]. 7883 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7568(a,1),191(a,1,2,1)),flip(a)]. 7884 (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). [para(7569(a,1),5691(a,1,1))]. 7886 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7574(a,1),4523(a,1,2,1)),flip(a)]. 7887 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(240,a,5469,a,b,7596,a(flip)),flip(a)]. 7888 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(5679,a,7597,a)]. 7889 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(240,a,5333,a,b,7613,a)]. 7890 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7613(a,1),4756(a,2,2))]. 7892 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(240,a,7728,a(flip),b,7626,a)]. 7893 T(T(x,y),T(z,y)) != T(x,y) * u | K(x,z) = u. [para(7631(a,2),19(a,1))]. 7894 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7652(a,2),7138(a,2,2,1)),flip(a)]. 7895 K(x,y * T(K(z \ u,y),u)) = K(T(x,(z / u) \ 1),y). [para(7654(a,2),7630(a,1,2,2))]. 7896 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(75,a,7661,a(flip),b,5059,a(flip))]. 7897 T(x,T(T(y,z),z)) = T(x,y). [hyper(17,a,7223,a(flip),b,7661,a(flip)),flip(a)]. 7899 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(6979(a,1),7661(a,1,1))]. 7900 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7159(a,1),7661(a,1,1))]. 7901 T(x,T(y \ z,y)) = T(x,z / y). [para(124(a,1),7897(a,1,2,1))]. 7902 T(x,(y * z) / y) = T(x,T(z,y)). [para(176(a,1),7897(a,1,2,1)),flip(a)]. 7903 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(194(a,1),7897(a,1,2,1))]. 7904 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4777(a,1),7897(a,1,2,1)),flip(a)]. 7905 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(793(a,2),7902(a,1,2))]. 7906 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(5092(a,2),7902(a,1,2))]. 7907 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5782(a,1),7902(a,1,2,1)),flip(a)]. 7908 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(240,a,4431,a,b,7904,a(flip)),flip(a)]. 7909 T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). [para(38(a,1),7904(a,2,2))]. 7911 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7677(a,1),299(a,1,1)),flip(b)]. 7912 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(7678(a,1),7512(a,1,2))]. 7913 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7405(a,1),7680(a,1,1,2))]. 7914 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(7110,a,7682,a)]. 7915 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7682(a,2),6459(a,1,2))]. 7916 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7682(a,1),7123(a,1,1)),flip(b)]. 7917 T(x,y * (z * x)) = T(x,y * (x * z)). [para(98(a,1),7696(a,1,2,2)),flip(a)]. 7918 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7493(a,1),7696(a,1,2,2))]. 7919 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(240,a,6948,a,b,7698,a(flip)),flip(a)]. 7920 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(240,a,6926,a,b,7705,a(flip)),flip(a)]. 7922 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7709(a,1,1,1)),flip(a)]. 7923 K(x * (K(y,z) * u),y) = K(x * u,y). [para(6988(a,1),7750(a,1,1,2))]. 7924 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(7104(a,1),7750(a,1,1,2))]. 7925 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4783(a,1),7752(a,1,1)),flip(a)]. 7926 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(240,a,7451,a(flip),b,7756,a)]. 7928 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7793(a,1),6855(a,1,1,2))]. 7929 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(240,a,7287,a(flip),b,7829,a)]. 7930 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(62(a,1),7929(a,1,2,2)),flip(a)]. 7931 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7489,a,7830,a)]. 7932 T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). [para(7701(a,2),7849(a,1,2))]. 7933 K(x,T(y,z)) \ K(y,K(z,x)) = K(y,x). [hyper(73,a,7507,a,b,7854,a)]. 7934 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(240,a,7555,a(flip),b,7866,a)]. 7935 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(240,a,7491,a(flip),b,7934,a)]. 7936 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(62(a,1),7934(a,1,2,1)),flip(a)]. 7937 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7511,a,7935,a)]. 7938 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7474,a,7935,a)]. 7939 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7545,a,7936,a)]. 7940 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(240,a,7450,a,b,7936,a)]. 7941 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(7937(a,1),6207(a,1,1))]. 7943 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(62(a,1),7938(a,1,2,1)),flip(a)]. 7944 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(7938(a,2),7545(a,1))]. 7945 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(240,a,7554,a,b,7939,a(flip)),flip(a)]. 7946 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(7940(a,1),7503(a,1,2)),flip(a)]. 7947 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(7940(a,2),7474(a,1))]. 7948 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(240,a,7487,a,b,7943,a)]. 7949 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7545,a,7945,a)]. 7950 K(K(x,y \ 1),z) = K(x,K(y,z)). [hyper(7517,a,7945,a)]. 7951 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7511,a,7945,a)]. 7952 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(240,a,7507,a,b,7945,a)]. 7953 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(240,a,7487,a,b,7945,a)]. 7954 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(3449(a,1),7945(a,1,2)),flip(a)]. 7955 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3451(a,2),7945(a,1,2))]. 7956 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5599(a,2),7945(a,1,2))]. 7957 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6111(a,1),7945(a,1,2)),flip(a)]. 7958 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7945(a,2),7545(a,1))]. 7959 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(7948(a,1),7504(a,1,1))]. 7961 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(240,a,7487,a,b,7949,a)]. 7962 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(240,a,7491,a(flip),b,7949,a)]. 7963 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5651(a,2),7949(a,1,2))]. 7964 K(1 / x,K(y,z)) = K(y,K(x,z)). [hyper(5434,a,7951,a)]. 7965 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(240,a,7507,a,b,7951,a)]. 7966 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7951,a)]. 7967 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(65(a,1),7952(a,1,2,2)),flip(a)]. 7968 T(x,K(y,z \ 1)) = x * K(x,K(y,z)). [para(7952(a,1),4800(a,2,2))]. 7969 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5604(a,1),7952(a,1,2))]. 7970 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7952(a,1),7459(a,1,2))]. 7971 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(65(a,1),7953(a,1,2,2)),flip(a)]. 7972 K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). [para(7953(a,1),7504(a,1,1))]. 7973 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(7955(a,2),7545(a,1))]. 7974 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5662(a,1),7962(a,1,2)),flip(a)]. 7975 K(1 / x,K(y,z)) = K(x,K(y,z)). [hyper(240,a,7487,a,b,7964,a)]. 7977 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(240,a,5640,a,b,7965,a(flip)),flip(a)]. 7978 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [hyper(75,a,7965,a(flip),b,5040,a),flip(a)]. 7979 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(7967(a,2),7545(a,1))]. 7980 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(240,a,5503,a(flip),b,7971,a(flip)),flip(a)]. 7981 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7971(a,2),7545(a,1))]. 7982 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7880(a,1),7575(a,1,1)),flip(a)]. 7983 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(7887(a,1),4762(a,2,2))]. 7984 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(176(a,1),7888(a,1,2,2,1)),flip(a)]. 7985 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(197(a,1),7888(a,1,2,2,1))]. 7986 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(7889(a,2),190(a,1,1,1))]. 7987 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1788(a,1),7896(a,1,1,2))]. 7988 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7685(a,1),7896(a,1,1,2)),flip(a)]. 7989 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7923(a,1),5459(a,1,2,1,2)),flip(a)]. 7990 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7923(a,1),5461(a,1,2,1,2)),flip(a)]. 7991 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5178(a,1),7926(a,1,1)),flip(a)]. 7992 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7926(a,1),5967(a,1,3))]. 7993 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6409,a,7992,a)]. 7994 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7930(a,1),7004(a,1,2))]. 7995 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(6964(a,1),7931(a,1,2))]. 7996 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(240,a,7530,a(flip),b,7946,a)]. 7997 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6206,a,7996,a)]. 7998 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(7997(a,1),5503(a,2,1,1))]. 7999 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(7956(a,2),7545(a,1))]. 8000 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6713(a,1),7957(a,1,2)),flip(a)]. 8001 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(7957(a,1),7545(a,1))]. 8002 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(240,a,4800,a,b,7968,a)]. 8003 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(240,a,7530,a(flip),b,7968,a)]. 8005 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(6912,a,8002,a),flip(a)]. 8006 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6111(a,1),8002(a,1,2))]. 8007 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(8002(a,1),6912(a,1))]. 8008 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7578,a,8003,a)]. 8009 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6111(a,1),8003(a,1,2)),flip(a)]. 8010 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8008(a,2),7578(a,1))]. 8011 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(240,a,7469,a(flip),b,7978,a),flip(a)]. 8012 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(6912,a,8005,a),flip(a)]. 8013 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8005(a,1),6912(a,1))]. 8014 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(240,a,4800,a(flip),b,8012,a)]. 8015 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6086(a,1),8012(a,1,2))]. 8016 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(240,a,7996,a(flip),b,8006,a)]. 8017 T(x,K(y,z \ y)) = T(x,K(y,z)). [hyper(240,a,7838,a(flip),b,8006,a)]. 8018 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),8016(a,1,2,2)),flip(a)]. 8019 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(7578,a,8017,a)]. 8020 T(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. [para(8017(a,2),6911(a,1,1))]. 8021 T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. [para(8017(a,2),7578(a,1))]. 8022 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(240,a,7560,a,b,8018,a)]. 8023 T(x,K(y,y / z)) = T(x,K(z,y)). [para(65(a,1),8019(a,1,2,1)),flip(a)]. 8024 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8022(a,1),38(a,1,1)),flip(a)]. 8025 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8022(a,1),7575(a,1,1))]. 8026 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(8009(a,1),7578(a,1))]. 8027 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7056(a,1),8011(a,1,2)),flip(a)]. 8028 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(7038,a,8014,a)]. 8029 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4858,a,8014,a)]. 8030 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(240,a,6964,a(flip),b,8028,a)]. 8031 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(240,a,7241,a(flip),b,8029,a(flip)),flip(a)]. 8032 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(240,a,7237,a(flip),b,8029,a(flip))]. 8033 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(240,a,6969,a(flip),b,8029,a(flip)),flip(a)]. 8034 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(65(a,1),8029(a,1,2,2)),flip(a)]. 8035 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6086(a,1),8029(a,1,2))]. 8037 L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). [para(8030(a,1),509(a,1,1))]. 8038 K(x,T(y,x / z)) = K(x,T(y,z)). [para(65(a,1),8031(a,1,2,2)),flip(a)]. 8039 (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). [para(8031(a,1),6988(a,1,2))]. 8040 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(13(a,1),8033(a,1,2,2))]. 8041 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(616(a,1),8032(a,1,2)),flip(a)]. 8042 K(x,T(y / z,y \ z)) = K(x,y / z). [para(208(a,1),8035(a,1,2)),flip(a)]. 8044 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8035(a,1),7303(a,1))]. 8045 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [hyper(240,a,8031,a(flip),b,8040,a(flip)),flip(a)]. 8047 K(L(x,y,z / (y * x)),T(u,z)) != w | K(z / ((z / (y * x)) * y),u) = w. [para(111(a,2),7778(a,1,1))]. 8048 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(6974(a,2),7778(a,1))]. 8049 K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. [para(6979(a,1),7778(a,1))]. 8050 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(135(a,1),7783(a,1,2))]. 8051 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4514(a,1),7783(a,1,1))]. 8052 K(x \ 1,T(y,z)) != u | K(z \ (x \ z),y) = u. [para(5491(a,1),7783(a,1))]. 8053 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4922(a,2),7783(a,1,1))]. 8054 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7789(a,1,1,2))]. 8055 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7618(a,1),7795(a,1))]. 8056 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(24(a,2),7796(a,1,2,1))]. 8057 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4532(a,1),7796(a,1,2))]. 8059 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(273(a,1),7797(a,1,2))]. 8060 K((x * (y \ 1)) \ z,x / y) != u | K(z / (x * (y \ 1)),x / y) = u. [para(619(a,1),7797(a,1,2))]. 8061 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7142(a,2),7797(a,1))]. 8063 K(x \ (x * y),z) != u | K(y,z) = u. [para(7162(a,1),7802(a,1))]. 8064 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7594(a,1),7802(a,1))]. 8065 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),8063(a,1,1,2))]. 8066 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7746(a,1),8063(a,1))]. 8067 K(x * y,x) != z | K(y * x,x) = z. [para(4774(a,1),8066(a,1,1))]. 8069 K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. [para(7600(a,1),8066(a,1,1,1))]. 8071 K((1 / x) \ y,y) != z | K(x * y,y) = z. [para(6468(a,2),8067(a,1))]. 8074 K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. [para(124(a,1),7810(a,1,1,1))]. 8075 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(124(a,1),7828(a,1,2,2)),flip(a)]. 8076 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4959(a,2),7850(a,1,2))]. 8077 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7487(a,1),7944(a,1))]. 8078 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(7507(a,1),7947(a,1))]. 8079 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5604(a,1),7958(a,1,2))]. 8081 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5601(a,2),7979(a,1,2))]. 8082 T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. [para(6086(a,1),8013(a,1,2))]. 8083 T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. [para(6198(a,2),8021(a,1,2))]. 8084 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7241(a,2),8044(a,1))]. 8085 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(7290(a,1),8044(a,1))]. 8086 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(801(a,2),8064(a,1,1))]. 8087 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4776(a,1),8064(a,1,1))]. 8088 K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. [para(4882(a,1),8064(a,1,1))]. 8089 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4842(a,2),8064(a,1,1))]. 8090 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5266(a,1),8071(a,1))]. 8091 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(3998(a,1),8084(a,1,2))]. 8093 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7403(a,1,2,2,2))]. 8094 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4803,a,7407,a),flip(a)]. 8095 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(240,a,7084,a,b,8094,a(flip)),flip(a)]. 8096 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(240,a,6094,a,b,8094,a(flip)),flip(a)]. 8097 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),8095(a,2,2,2))]. 8098 T(x,y \ (z \ y)) != u | T(x,(z * y) \ y) = u. [para(8096(a,1),6165(a,1))]. 8099 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8096(a,1),8084(a,1,2))]. 8100 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(3013,a,8097,a),flip(a)]. 8101 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),8100(a,1,2))]. 8102 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(240,a,6958,a,b,7408,a)]. 8103 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6939(a,1),7415(a,1,1,1)),flip(a)]. 8104 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(75,a,4800,a,b,7424,a)]. 8105 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(124(a,1),8104(a,1,2,2))]. 8106 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(7432(a,2),6677(a,1,2,1))]. 8107 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7438(a,1),5806(a,1,1,1))]. 8108 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5357(a,1),7441(a,1,1))]. 8109 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7094(a,2),7509(a,1,2))]. 8110 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4956(a,1),7516(a,1,1,2))]. 8111 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7901(a,1),7587(a,1,1))]. 8112 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3976(a,1),7601(a,1,1,1)),flip(a)]. 8113 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7601(a,1),7794(a,1,1,1))]. 8114 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1582(a,1),7602(a,1,1))]. 8115 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1582(a,1),7621(a,1,2))]. 8116 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6027(a,1),7625(a,1,1))]. 8117 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4776(a,1),7627(a,1,2,2))]. 8118 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7797,a,7628,a)]. 8119 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4735(a,2),7634(a,1,1,1))]. 8120 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7889(a,1),7635(a,1,1))]. 8121 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7636(a,1),7600(a,1,1))]. 8122 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(240,a,6462,a(flip),b,7655,a)]. 8124 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(240,a,7215,a(flip),b,7664,a(flip))]. 8125 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(240,a,5604,a(flip),b,7679,a)]. 8126 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7679(a,1),4800(a,2,2))]. 8127 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7679(a,2),6483(a,1))]. 8128 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(240,a,7075,a(flip),b,8125,a(flip)),flip(a)]. 8129 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(13(a,1),8128(a,1,2,1,1)),flip(a)]. 8130 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(240,a,7104,a(flip),b,7684,a)]. 8131 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5695(a,1),8130(a,1,1))]. 8132 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(6964(a,2),8130(a,1,1))]. 8133 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(8033(a,1),7718(a,1,1,2))]. 8134 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [hyper(7807,a,7607,a),flip(a)]. 8135 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(6967(a,1),7807(a,1))]. 8137 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(14(a,1),7837(a,1,1)),flip(a)]. 8138 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(7840(a,1),7078(a,2,1))]. 8139 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(240,a,7487,a,b,7862,a)]. 8140 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7876(a,1),7142(a,1,1)),flip(a)]. 8142 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(6130(a,1),7906(a,1,2,1))]. 8143 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(3893(a,1),7924(a,1,1,2)),flip(a)]. 8144 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3891(a,1),7924(a,1,1,2)),flip(a)]. 8145 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [hyper(17,a,7537,a,b,7941,a),flip(a)]. 8146 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5606(a,2),7941(a,2,2)),flip(a)]. 8147 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(7487(a,1),7941(a,1,1))]. 8148 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7491(a,2),7941(a,1,1))]. 8149 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [hyper(240,a,7536,a(flip),b,7959,a(flip)),flip(a)]. 8150 T((x / (x / y)) \ x,K(x,z)) = x / T(y,K(x,z)). [hyper(6771,a,8149,a),flip(a)]. 8151 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(240,a,7536,a(flip),b,7972,a(flip)),flip(a)]. 8152 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(7982(a,1),231(a,1,2))]. 8153 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(240,a,4762,a,b,7983,a)]. 8154 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(124(a,1),8153(a,1,2,2,1))]. 8155 K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). [hyper(240,a,6145,a(flip),b,7984,a(flip))]. 8156 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7993(a,2),5205(a,1,1))]. 8157 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(124(a,1),7994(a,1,2,2)),flip(a)]. 8158 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(240,a,6891,a(flip),b,8024,a)]. 8159 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(73,a,8158,a(flip),b,7006,a)]. 8160 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(240,a,4204,a,b,8025,a(flip)),flip(a)]. 8161 K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). [para(7609(a,1),8039(a,1,2)),flip(a)]. 8162 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(240,a,2885,a,b,8101,a)]. 8163 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4776(a,2),8108(a,1,1,2))]. 8164 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(5776(a,1),8109(a,1,1,2))]. 8165 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7451(a,1),8120(a,2,1))]. 8166 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(240,a,7606,a(flip),b,8124,a)]. 8167 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4784,a,8131,a)]. 8168 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [para(7450(a,1),8145(a,1,1))]. 8169 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(7487(a,1),8145(a,1,1))]. 8170 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [para(7491(a,2),8145(a,1,1))]. 8171 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [hyper(5696,a,8148,a)]. 8172 (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(8148(a,1),4859(a,1,1,1))]. 8173 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3965(a,1),8154(a,1,2,2))]. 8174 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8160(a,1),191(a,1,2))]. 8175 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(123(a,2),8162(a,2,2,2)),flip(a)]. 8176 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2530(a,2),8168(a,2,2))]. 8177 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [hyper(5696,a,8169,a)]. 8178 K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. [para(8169(a,1),5696(a,1))]. 8179 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(8175(a,1),65(a,1,1))]. 8181 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4815(a,1),7091(a,1,1))]. 8184 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5183(a,1),7172(a,1))]. 8186 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(7094(a,1),7250(a,1))]. 8187 T(x,K(y,z)) * K(z * x,y) != u | K(z * x,y) * x = u. [para(7867(a,1),7254(a,1,1))]. 8188 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(483,a,7278,a),flip(a)]. 8189 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(7278(a,1),483(a,1))]. 8190 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(240,a,42,a(flip),b,8188,a)]. 8191 K(x,y) != z | R(K(x,y),y,u) = z. [para(6449(a,1),8189(a,1))]. 8192 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(8190(a,1),8189(a,1))]. 8195 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(240,a,4178,a(flip),b,7279,a(flip))]. 8196 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(8195(a,1),241(a,1,2))]. 8197 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7360(a,2),6279(a,1))]. 8198 x * (y \ R(y,x,y)) = T(y * x,y) / y. [hyper(3973,a,7422,a),flip(a)]. 8199 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(8198(a,1),169(a,2,2))]. 8201 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7465(a,1),7471(a,1))]. 8202 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7528(a,2),7471(a,1,2))]. 8203 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(7970(a,1),7471(a,1))]. 8206 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(7657,a,6494,a),flip(a)]. 8207 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(240,a,6459,a(flip),b,7707,a(flip)),flip(a)]. 8208 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7707(a,1),346(a,1)),flip(b)]. 8209 K(x,y * x) != z | K(x,x * y) = z. [para(98(a,1),8208(a,1,2))]. 8210 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1329(a,1),8208(a,1,2))]. 8211 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1327(a,1),8208(a,1,2))]. 8212 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(6679(a,2),8209(a,1))]. 8213 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(240,a,7703,a(flip),b,8207,a)]. 8215 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8213(a,1,2))]. 8216 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(240,a,6354,a(flip),b,7739,a(flip)),flip(a)]. 8217 K(R(x,K(y,z),u),z) = K(x,z). [hyper(240,a,7735,a(flip),b,8216,a)]. 8219 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8217(a,1,1))]. 8220 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6279,a,7754,a)]. 8221 K(L(x,K(y,z),u),y) = K(x,y). [hyper(240,a,7744,a(flip),b,8220,a)]. 8223 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(235(a,1),8221(a,1,1))]. 8224 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(7861(a,2),7772(a,1))]. 8225 K(x,(y * x) / z) != u | K(x,y / (z / x)) = u. [para(7920(a,2),7787(a,1))]. 8227 T(T(x,y) \ z,K(x,y)) != u | (x \ z) * K(y,x) = u. [para(5078(a,1),7881(a,1,1))]. 8228 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(8054,a,xx),flip(a)]. 8229 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(16(a,1),8228(a,1,1,2,2)),flip(a)]. 8231 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8229(a,1),5458(a,1,1,1,2))]. 8232 K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. [para(4774(a,1),8069(a,1,1))]. 8233 K(x \ y,T(x,z)) != u | K(T(x,w) \ y,T(x,z)) = u. [para(5057(a,1),8069(a,1,1))]. 8234 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(8031(a,2),8085(a,1))]. 8235 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3456(a,2),8127(a,1))]. 8236 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7075(a,1),8127(a,1))]. 8237 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7141(a,1),8184(a,1,1))]. 8239 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8235(a,1,2,1,2))]. 8240 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5687(a,2),8237(a,1))]. 8242 K((x * y) / x,x / (x * z)) = K(y,1 / z). [hyper(8239,a,7163,a)]. 8243 K((x * y) / x,1 / ((x * z) / x)) = K(y,1 / z). [hyper(5620,a,8242,a)]. 8244 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5178(a,1),6863(a,1,2,2)),flip(a)]. 8245 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(240,a,5086,a(flip),b,6870,a)]. 8246 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(8245(a,1),7600(a,1,1))]. 8248 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6924(a,1),966(a,1,1,2))]. 8250 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),6973(a,2,2))]. 8251 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2710(a,1),7029(a,1,2,2))]. 8252 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7106(a,1),4466(a,2,2))]. 8253 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(240,a,6448,a(flip),b,7136,a(flip))]. 8254 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(8253(a,1),14(a,1,2))]. 8255 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(8253(a,1),62(a,1,2))]. 8257 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7235(a,2,2))]. 8258 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(240,a,7349,a(flip),b,7263,a)]. 8259 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(240,a,7023,a(flip),b,7274,a(flip))]. 8260 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7897(a,1),8259(a,1,1,2))]. 8261 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4432(a,1),7291(a,1,1))]. 8262 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(4679,a,7338,a)]. 8263 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(240,a,6671,a(flip),b,8262,a(flip)),flip(a)]. 8264 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(240,a,6659,a(flip),b,8262,a(flip)),flip(a)]. 8265 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8264(a,1,2))]. 8266 (x * T(y,K(x,z))) \ (x * (K(x,z) * y)) = K(x,z). [para(7560(a,1),7347(a,1,1,2))]. 8267 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(81,a,7370,a)]. 8269 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(240,a,4555,a(flip),b,7380,a(flip))]. 8270 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(240,a,4554,a(flip),b,7380,a(flip))]. 8271 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7391(a,1),5082(a,1,2))]. 8272 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),7401(a,1,1,2)),flip(a)]. 8273 (x * (1 / T(y,z))) * T(y,z) = R(x,y \ 1,y). [hyper(240,a,2518,a(flip),b,7425,a)]. 8274 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(2520,a,8273,a)]. 8275 R(x,(y \ z) \ 1,T(z / y,y)) = R(x,(z / y) \ 1,z / y). [para(124(a,1),8274(a,1,2,1))]. 8276 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7427(a,1),6392(a,1,3,2))]. 8277 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(240,a,7504,a,b,7429,a),flip(a)]. 8278 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7429(a,2),7574(a,1,1))]. 8279 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7433(a,1),6371(a,1,2))]. 8281 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7463(a,2),8237(a,1))]. 8282 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6653(a,1),7475(a,1,1)),flip(a)]. 8283 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7090(a,1),7476(a,1,1)),flip(a)]. 8284 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4044,a,7595,a)]. 8285 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(4926,a,8284,a),flip(a)]. 8286 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(655,a,8284,a)]. 8287 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7685(a,1),7617(a,1,1,1,2))]. 8288 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7714(a,1),4800(a,2,2))]. 8290 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(240,a,5775,a,b,7716,a(flip)),flip(a)]. 8291 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(5745,a,7717,a)]. 8292 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(8291(a,1),5188(a,1,2))]. 8293 T(x,y) * T(y,T(z,x)) = x * T(y * K(x,y),z). [para(8292(a,1),5082(a,1,2))]. 8294 T(x,T(L(y \ 1,y,z),u)) = K(x,u) * T(x * K(u,x),y \ 1). [para(6099(a,1),8292(a,1,2)),flip(a)]. 8295 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). [para(5311(a,1),7719(a,1,2))]. 8296 K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). [para(4813(a,1),8295(a,1,2,1)),flip(a)]. 8297 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7721(a,1),4750(a,2,2))]. 8298 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(240,a,5582,a,b,7722,a(flip)),flip(a)]. 8299 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7758(a,1),7266(a,1,2,2))]. 8300 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(240,a,7459,a(flip),b,7819,a)]. 8302 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(240,a,7462,a(flip),b,7824,a)]. 8303 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5689(a,1),8302(a,1,2))]. 8304 K(x \ y,x) * z != u * K(x \ y,x) | T(u,K(x,y)) = z. [para(7842(a,1),19(a,1)),flip(a)]. 8305 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(y,x)). [para(7842(a,1),5544(a,1,2))]. 8306 K(x \ y,x) * (y * T(z,T(y,x))) = (z * y) * K(x \ y,x). [para(7569(a,1),7842(a,1,2))]. 8307 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4192(a,1),7852(a,1,2,2,2))]. 8308 x / T(K(y,z * x),x) = T(x,K(y,z)) * K(z * x,y). [hyper(240,a,6961,a,b,7870,a),flip(a)]. 8309 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(240,a,3128,a,b,7899,a)]. 8310 (K(x,T(y,z)) * (z * (y * x))) \ ((z * y) * T(x,y)) = L(a(z,y,x),z * (y * x),K(x,T(y,z))). [para(7899(a,1),460(a,1,2))]. 8311 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7905(a,2,2))]. 8312 T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). [para(5311(a,1),7909(a,1,2))]. 8313 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6188(a,1),7963(a,2,2))]. 8314 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7951(a,1),7977(a,1,1))]. 8315 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(7965(a,1),7977(a,1,1))]. 8316 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7966(a,1),7977(a,1,1))]. 8317 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,8314,a(flip),b,8315,a(flip))]. 8318 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8315(a,1),106(a,1,2))]. 8320 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(240,a,8315,a(flip),b,8316,a(flip))]. 8321 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(240,a,8314,a(flip),b,8316,a(flip))]. 8322 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(240,a,8282,a(flip),b,8316,a(flip)),flip(a)]. 8324 K(x,K(y,L(z,u,w))) != v5 | K(x,K(L(y,u,w),z)) = v5. [para(8317(a,1),7545(a,1))]. 8325 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(235(a,1),8320(a,2,2,2))]. 8326 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8320(a,2),7489(a,1))]. 8327 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(240,a,7487,a,b,8322,a)]. 8329 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8327(a,2),7489(a,1))]. 8330 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(240,a,5681,a(flip),b,7985,a(flip)),flip(a)]. 8331 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(240,a,7896,a(flip),b,7988,a)]. 8332 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7101(a,1),8331(a,1,2,1)),flip(a)]. 8333 T(T(x,y \ x) / y,T(x,y \ x)) = x / y. [hyper(6901,a,8020,a)]. 8334 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8041(a,1),4949(a,1,2))]. 8335 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(8041(a,2),7499(a,2,1))]. 8336 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(240,a,8031,a(flip),b,8093,a)]. 8338 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(8105(a,1),3952(a,1,2)),flip(a)]. 8339 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(240,a,7604,a,b,8118,a),flip(a)]. 8340 K(T(x * y,y) / x,z) = K(y,z). [hyper(7373,a,8339,a),flip(a)]. 8342 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8340(a,1,1,1,1))]. 8343 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(240,a,7732,a(flip),b,8119,a(flip))]. 8344 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),8343(a,1,2,2)),flip(a)]. 8345 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(240,a,4800,a,b,8126,a)]. 8346 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8345(a,1,2,1,1)),flip(a)]. 8348 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4884(a,1),8346(a,1,2)),flip(a)]. 8349 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(240,a,8095,a(flip),b,8348,a(flip))]. 8350 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(240,a,5117,a(flip),b,8349,a(flip)),flip(a)]. 8351 T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. [para(8350(a,2),8098(a,1))]. 8352 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(240,a,7718,a(flip),b,8133,a(flip))]. 8353 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(8015(a,1),8352(a,1,2))]. 8354 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(65(a,1),8150(a,1,1)),flip(a)]. 8356 K(x,y * K(1 / y,z)) = T(K(x,y),z). [hyper(240,a,5681,a(flip),b,8155,a(flip))]. 8357 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(240,a,7746,a(flip),b,8223,a)]. 8359 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7043(a,1),8357(a,1,1,1)),flip(a)]. 8360 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7600(a,1),8357(a,1,1,1,2))]. 8361 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7121(a,1),8357(a,1,1,1)),flip(a)]. 8362 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(240,a,6941,a(flip),b,8359,a(flip)),flip(a)]. 8364 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4774(a,1),8362(a,1,1,2)),flip(a)]. 8365 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4900(a,1),8362(a,1,1,2)),flip(a)]. 8366 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4906(a,1),8362(a,1,1,2)),flip(a)]. 8367 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5057(a,1),8362(a,1,1,2)),flip(a)]. 8368 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5178(a,1),8362(a,1,1,2)),flip(a)]. 8369 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7600(a,1),8362(a,1,1,2,1))]. 8370 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7611(a,1),8362(a,1,1,2))]. 8371 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(8364(a,1),7629(a,1,1,2))]. 8372 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5253(a,1),8368(a,1,1,2))]. 8373 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5506(a,1),8368(a,1,1,2))]. 8374 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7121(a,1),8370(a,1,1,2)),flip(a)]. 8375 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(185(a,1),8372(a,1,1)),flip(a)]. 8376 (((x * y) / x) \ z) * K(y,1 / y) = (1 / (1 / ((x * y) / x))) \ z. [para(8243(a,1),2964(a,1,2))]. 8377 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(240,a,5077,a,b,8244,a),flip(a)]. 8378 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(240,a,7574,a,b,8244,a(flip)),flip(a)]. 8379 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5178(a,1),8244(a,2,2))]. 8380 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6271(a,1),8244(a,1,2,1)),flip(a)]. 8381 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7563(a,1),8244(a,2,2))]. 8382 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(6964(a,2),8250(a,1,1))]. 8383 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8257(a,1,2,1,2)),flip(a)]. 8384 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),8258(a,1,1,1,1,2))]. 8385 (x * T(y,K(x,z))) \ (T(x,z) * y) = K(x,z). [para(4779(a,1),8266(a,1,2))]. 8386 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(17,a,6615,a(flip),b,8270,a)]. 8387 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8386(a,1),7098(a,1,1,2)),flip(a)]. 8388 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1742(a,1),8272(a,1,2)),flip(a)]. 8389 K(L(K(x,y),z,u),w) = K(w,L(K(x,y),z,u)). [hyper(17,a,4800,a(flip),b,8285,a)]. 8390 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(240,a,8327,a(flip),b,8389,a(flip))]. 8391 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(240,a,8317,a,b,8390,a)]. 8392 L(K(x,K(y,z)),u,w) = K(y,L(K(x,z),u,w)). [hyper(240,a,8316,a,b,8390,a),flip(a)]. 8393 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5974(a,1),8390(a,1,2)),flip(a)]. 8395 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6659(a,1),8391(a,1,2)),flip(a)]. 8396 L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)). [para(8392(a,2),4809(a,2,1)),flip(a)]. 8397 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4858,a,8298,a)]. 8398 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(240,a,8300,a(flip),b,8303,a)]. 8400 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7094(a,1),8398(a,1,2))]. 8401 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3974(a,1),8311(a,1,2,1)),flip(a)]. 8403 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(240,a,6949,a,b,8332,a(flip)),flip(a)]. 8404 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(8338(a,2),2556(a,1,1))]. 8405 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(240,a,5718,a(flip),b,8361,a)]. 8406 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(8365(a,1),5463(a,1,1,1,2))]. 8407 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4774(a,1),8369(a,1,1,2)),flip(a)]. 8408 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),8374(a,2,1))]. 8409 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5191,a,8379,a)]. 8410 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8382(a,1,2)),flip(a)]. 8411 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5027,a,8383,a)]. 8412 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(240,a,8321,a,b,8395,a(flip)),flip(a)]. 8413 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(8315(a,1),8396(a,1,1))]. 8414 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(240,a,8122,a(flip),b,8407,a)]. 8415 (((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(8409(a,1),1898(a,1,1,1,1))]. 8416 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(240,a,341,a(flip),b,8410,a)]. 8417 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(240,a,6964,a(flip),b,8416,a)]. 8418 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [hyper(7496,a,8413,a),flip(a)]. 8419 T(x,L(K(y,z),u,w)) != v5 | T(x,K(y,L(z,u,w))) = v5. [para(8413(a,1),7496(a,1))]. 8420 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(8418(a,1),437(a,1,2))]. 8421 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(6970(a,1),6880(a,1,2))]. 8422 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(240,a,5244,a(flip),b,8421,a(flip))]. 8423 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8422(a,1),177(a,1,1,2))]. 8424 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8198(a,1),8423(a,1,1))]. 8425 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(4815(a,1),6993(a,1))]. 8426 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1298(a,1),7007(a,1,2)),flip(a)]. 8427 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(948(a,2),7124(a,2,2))]. 8428 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(5187(a,1),7124(a,2,2))]. 8429 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7280(a,1),669(a,1))]. 8431 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(7316,a,6988,a)]. 8432 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(240,a,7629,a(flip),b,7816,a)]. 8433 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(324(a,1),8432(a,1,2,2,1,1))]. 8434 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4909(a,1),8432(a,1,2,2))]. 8435 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5078(a,1),8433(a,1,2,2))]. 8436 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5178(a,1),8433(a,1,2,2)),flip(a)]. 8437 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7455(a,1),8433(a,1,2,2))]. 8438 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7641(a,1),8433(a,1,2,2)),flip(a)]. 8439 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(240,a,6964,a(flip),b,8436,a)]. 8440 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(8201,a,8437,a)]. 8441 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5644(a,1),8438(a,1,2,2,2))]. 8442 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(8201,a,8439,a)]. 8449 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(106(a,1),8441(a,1,2,2))]. 8450 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(98(a,1),8449(a,1,2,2,2))]. 8451 L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). [para(8037(a,1),126(a,2,1))]. 8452 K((x * y) / z,y) = K((z / x) \ y,y). [hyper(8049,a,8414,a)]. 8454 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(8196,a,4246,a)]. 8455 K(x,y) != z | K(R(x,u,x),y) = z. [para(8454(a,1),7373(a,1,1))]. 8456 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(8227,a,7642,a),flip(a)]. 8457 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(73,a,8279,a(flip),b,4779,a),flip(a)]. 8458 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8279(a,1),28(a,2,2,2)),flip(a)]. 8459 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7507(a,1),8326(a,1))]. 8461 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8315(a,2),8326(a,1))]. 8462 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8390(a,2),8326(a,1))]. 8463 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8282(a,2),8329(a,1))]. 8464 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(73,a,8334,a(flip),b,4779,a),flip(a)]. 8465 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8334(a,1),5391(a,1,1)),flip(a)]. 8466 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7375,a,8411,a)]. 8467 (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(6878(a,2),1544(a,2,1,2))]. 8468 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(4689,a,6920,a)]. 8469 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4774(a,1),6920(a,1,1)),flip(a)]. 8470 (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(6920(a,1),5064(a,1,1,2))]. 8471 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(240,a,6445,a(flip),b,8468,a(flip)),flip(a)]. 8472 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(240,a,6354,a(flip),b,8468,a(flip)),flip(a)]. 8473 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8472(a,1),4809(a,2,1)),flip(a)]. 8474 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(8472(a,1),5218(a,1,1,1)),flip(a)]. 8475 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(7081(a,1),7266(a,1,2))]. 8476 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(8475(a,1),5793(a,1,1,1))]. 8477 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(240,a,4800,a,b,7086,a)]. 8478 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(7578,a,8477,a)]. 8480 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8477(a,1),6912(a,1))]. 8481 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5605(a,1),8478(a,1,2))]. 8482 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5644(a,1),7131(a,1,1,2))]. 8483 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8482(a,1),62(a,1,2))]. 8484 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8482(a,1),88(a,1,2)),flip(b)]. 8486 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(106(a,1),8482(a,1,1))]. 8487 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(435(a,1),8482(a,1,1))]. 8488 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(240,a,142,a(flip),b,8483,a(flip))]. 8491 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8488(a,1),19(a,1)),flip(a)]. 8492 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(8488(a,1),241(a,1,2)),flip(b)]. 8493 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). [para(864(a,1),7135(a,1,1,2))]. 8494 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(839(a,1),7135(a,1,1,2))]. 8495 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1533(a,1),7135(a,1,1,2))]. 8496 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(6872(a,1),7135(a,1,1,2)),flip(a)]. 8497 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(240,a,7134,a(flip),b,8496,a)]. 8498 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8497(a,1),4800(a,2,2))]. 8499 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(6988(a,1),8497(a,1,2,1))]. 8500 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7043(a,1),8497(a,1,2,1)),flip(a)]. 8501 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(7090(a,1),8497(a,1,2,1)),flip(a)]. 8502 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(7092(a,1),8497(a,1,2,1))]. 8503 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(6171,a,8499,a)]. 8504 K(x,y \ K(x,z)) = K(x,y \ 1). [hyper(6139,a,8499,a),flip(a)]. 8505 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8499(a,1,2)),flip(a)]. 8506 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(8503(a,1),4976(a,1,2))]. 8507 (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8504(a,1),7520(a,1,1,2,2))]. 8508 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(240,a,6960,a(flip),b,8500,a(flip)),flip(a)]. 8509 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5644(a,1),8501(a,1,2,1,2))]. 8510 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7163(a,1),8501(a,1,2,1,2))]. 8512 K(x,y \ T(x,z)) = K(x,y \ x). [para(4809(a,2),8508(a,1,2,2))]. 8513 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4774(a,1),8508(a,1,2,2)),flip(a)]. 8514 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4869(a,1),8508(a,1,2,2)),flip(a)]. 8515 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4906(a,1),8508(a,1,2,2)),flip(a)]. 8516 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5057(a,1),8508(a,1,2,2)),flip(a)]. 8517 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(4867(a,1),8508(a,1,2,2))]. 8518 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8508(a,1),6964(a,2,1))]. 8519 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7306,a,8512,a),flip(a)]. 8520 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8512(a,1),7306(a,1))]. 8521 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(240,a,7348,a,b,8513,a),flip(a)]. 8523 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(240,a,7169,a(flip),b,8519,a)]. 8525 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(240,a,6831,a,b,8521,a(flip)),flip(a)]. 8526 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8521(a,1,2)),flip(a)]. 8527 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8521(a,1),6671(a,1,1))]. 8528 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8521(a,1),7465(a,1,2,2))]. 8529 K(x,(y * x) \ (z * x)) = K(x,y \ z). [para(15(a,1),8525(a,1,2,1)),flip(a)]. 8530 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8525(a,1),6671(a,1,1))]. 8532 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(240,a,8515,a(flip),b,8529,a(flip)),flip(a)]. 8533 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(108(a,2),8532(a,1,2))]. 8534 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(189(a,1),8532(a,1,2)),flip(a)]. 8535 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(8532(a,1),6708(a,1))]. 8536 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(240,a,4800,a,b,8498,a)]. 8538 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7043(a,1),8536(a,1,2,1)),flip(a)]. 8539 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7121(a,1),8536(a,1,2,1)),flip(a)]. 8540 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(240,a,7313,a(flip),b,8538,a(flip))]. 8542 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4023(a,1),8540(a,1,2,2)),flip(a)]. 8543 T(x,y \ T(x,z)) = T(x,y \ x). [para(4769(a,1),8540(a,1,2,2)),flip(a)]. 8544 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4774(a,1),8540(a,1,2,2))]. 8545 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4905(a,1),8540(a,1,2,2))]. 8546 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5325(a,1),8540(a,1,2,2))]. 8547 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8542(a,1),5563(a,1,2,1))]. 8548 T(x,(y / x) \ z) = T(x,y \ (z * x)). [hyper(240,a,7390,a,b,8544,a),flip(a)]. 8549 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(240,a,7369,a,b,8544,a),flip(a)]. 8550 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(8545(a,2),4881(a,1))]. 8551 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8545(a,1),4760(a,1,1,1)),flip(a)]. 8552 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8548(a,1),4760(a,1,1,1))]. 8553 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8549(a,2),7403(a,1,2))]. 8555 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(8506(a,1),3467(a,1,2))]. 8556 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(240,a,8263,a,b,8516,a(flip)),flip(a)]. 8557 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(7056(a,1),8523(a,1,2,1))]. 8558 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(240,a,7465,a,b,8553,a),flip(a)]. 8559 K(x \ y,T(x,y \ z)) != u | K(x \ y,T(x,z)) = u. [para(8553(a,1),7303(a,1))]. 8560 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(73,a,8555,a(flip),b,985,a),flip(a)]. 8562 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(106(a,1),8509(a,1,2,1))]. 8564 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3890(a,1),8533(a,2,2,2,2))]. 8565 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(8502(a,1),6671(a,1,1))]. 8566 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(240,a,8206,a(flip),b,8514,a(flip))]. 8567 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(240,a,6964,a,b,8518,a)]. 8568 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8546(a,1),4760(a,1,1,1))]. 8569 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(7099(a,1),8562(a,1,2,1,2))]. 8570 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4809(a,2),8567(a,1,2,1,2))]. 8571 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [para(4774(a,1),8567(a,1,2,1,2)),flip(a)]. 8572 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7173(a,1),8567(a,1,2,1,2))]. 8573 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(240,a,4958,a(flip),b,8534,a)]. 8575 K(x \ (y / z),T(x,z)) != u | K(x \ (y / z),T(x,y)) = u. [para(65(a,1),8559(a,1,2,2))]. 8576 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(240,a,6845,a(flip),b,7208,a)]. 8577 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(74,a,7208,a,b,8169,a),flip(a)]. 8579 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(240,a,6354,a(flip),b,7238,a(flip))]. 8580 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(74,a,8579,a,b,7090,a),flip(a)]. 8581 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(240,a,40,a,b,7277,a)]. 8582 T(x,y) * ((T(x,y) \ z) * x) = x * (z * K(z / T(x,u),x)). [para(7294(a,1),980(a,1,2)),flip(a)]. 8583 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(4679,a,7339,a)]. 8584 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7339(a,1),7112(a,1,1))]. 8585 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(7339(a,1),7563(a,1,2))]. 8586 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(6279,a,8583,a)]. 8587 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5637(a,1),7467(a,1,1)),flip(a)]. 8588 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7451(a,1),7468(a,1,1))]. 8589 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5637(a,1),7510(a,1,2)),flip(a)]. 8590 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(240,a,8587,a,b,8589,a(flip)),flip(a)]. 8591 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7487(a,1),8590(a,1,1))]. 8592 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8591(a,2),4800(a,2,2)),flip(a)]. 8593 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7521(a,1,2,1))]. 8594 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(240,a,7602,a(flip),b,7637,a)]. 8596 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(122(a,1),8594(a,1,2))]. 8597 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4758(a,2),8594(a,1,2)),flip(a)]. 8598 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(240,a,6672,a(flip),b,8596,a(flip))]. 8599 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(240,a,6659,a(flip),b,8596,a(flip))]. 8600 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7600(a,1),8596(a,1,1))]. 8601 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7638(a,2),7805(a,1))]. 8602 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(121(a,1),8601(a,1,2,1))]. 8603 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [hyper(240,a,7621,a(flip),b,7639,a)]. 8605 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(240,a,6662,a(flip),b,8603,a(flip)),flip(a)]. 8606 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(122(a,1),8603(a,1,2))]. 8607 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(181(a,1),8603(a,1,2))]. 8608 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(179(a,1),8603(a,1,2)),flip(a)]. 8609 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(240,a,6263,a(flip),b,8606,a(flip))]. 8610 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8606(a,1),106(a,1,2))]. 8611 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4779(a,1),8606(a,1,2))]. 8612 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8606(a,1),6279(a,1))]. 8613 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(240,a,329,a(flip),b,8608,a)]. 8615 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(6988(a,1),8605(a,1,2,2))]. 8616 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8607(a,1),8390(a,1,2)),flip(a)]. 8617 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(240,a,8369,a(flip),b,7673,a(flip)),flip(a)]. 8618 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7778,a,8617,a),flip(a)]. 8620 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8618(a,1),7098(a,1,1,2)),flip(a)]. 8621 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(240,a,7098,a(flip),b,8620,a)]. 8622 K(x,(y * x) / z) = K(x,(x * y) / z). [para(4774(a,1),8621(a,1,2,1)),flip(a)]. 8623 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(7641(a,1),8621(a,1,2,1)),flip(a)]. 8624 K(x,(x * y) / z) = K(x,y / (z / x)). [hyper(8225,a,8622,a),flip(a)]. 8625 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8622(a,2),6480(a,1))]. 8626 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(8623(a,2),7967(a,2,2)),flip(a)]. 8627 K(x,(x * y) / (z * x)) = K(x,y / z). [para(15(a,1),8624(a,2,2,2))]. 8628 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(14(a,1),8627(a,1,2,1)),flip(a)]. 8629 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(8628(a,1),7098(a,1,1,2))]. 8630 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(8625,a,7920,a),flip(a)]. 8631 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(8625,a,7667,a(flip)),flip(a)]. 8632 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8625,a,7615,a(flip)),flip(a)]. 8633 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7667(a,2),8625(a,1))]. 8634 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8630,a)]. 8635 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8630(a,1,2,2)),flip(a)]. 8636 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8630(a,1),6444(a,1,1))]. 8637 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(240,a,8571,a(flip),b,8631,a(flip)),flip(a)]. 8638 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(240,a,8630,a,b,8637,a)]. 8639 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8637(a,2),6988(a,2,1)),flip(a)]. 8640 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8638(a,2),7026(a,1,1))]. 8641 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7112,a,8629,a),flip(a)]. 8642 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5368,a,8634,a)]. 8643 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(240,a,7919,a,b,8642,a(flip)),flip(a)]. 8644 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(240,a,8360,a(flip),b,7699,a(flip)),flip(a)]. 8645 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7797,a,8644,a),flip(a)]. 8647 K(x / (y * z),z) = K(x / (z * y),z). [para(98(a,1),8645(a,1,1,2)),flip(a)]. 8648 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(240,a,8510,a(flip),b,7712,a(flip)),flip(a)]. 8649 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7806,a,8648,a),flip(a)]. 8651 K(x,y / (z * x)) = K(x,y / (x * z)). [para(98(a,1),8649(a,1,2,2))]. 8652 K(x,y / (K(z,x) * u)) = K(x,y / u). [para(7099(a,1),8649(a,1,2,2))]. 8653 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(240,a,6611,a(flip),b,8651,a)]. 8654 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(240,a,6572,a(flip),b,8651,a(flip)),flip(a)]. 8655 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(119(a,2),8651(a,2,2)),flip(a)]. 8656 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6355(a,1),8652(a,1,2,2))]. 8657 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8653(a,1,2,2,1)),flip(a)]. 8658 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(240,a,4962,a(flip),b,8655,a(flip)),flip(a)]. 8659 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(475(a,1),8656(a,1,2))]. 8660 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(4774(a,1),8656(a,1,2,2,1))]. 8661 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(4905(a,1),8656(a,1,2,2,1))]. 8662 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(5178(a,1),8656(a,1,2,2,1)),flip(a)]. 8663 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(240,a,8654,a(flip),b,8660,a(flip))]. 8664 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8663(a,1),4800(a,2,2)),flip(a)]. 8665 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8663(a,1),5170(a,1,2,2))]. 8666 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4776(a,1),7713(a,1,1,1,2))]. 8667 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7456,a,7817,a),flip(a)]. 8668 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8667(a,1,2,2)),flip(a)]. 8670 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7600(a,1),7890(a,1,1)),flip(a)]. 8671 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8670(a,1),4671(a,1,2,2)),flip(a)]. 8672 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(8670(a,1),5367(a,1,1))]. 8674 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(240,a,7720,a(flip),b,7895,a(flip))]. 8675 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(240,a,7491,a,b,7912,a)]. 8676 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(240,a,7896,a,b,7914,a),flip(a)]. 8677 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(240,a,7896,a(flip),b,7987,a(flip))]. 8678 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7561(a,1),8110(a,2,1))]. 8679 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(240,a,8579,a(flip),b,8112,a)]. 8680 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(119(a,1),8679(a,1,1)),flip(a)]. 8681 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(240,a,7629,a(flip),b,8121,a)]. 8682 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8121(a,2),8087(a,1))]. 8683 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(8138(a,2),7299(a,1))]. 8684 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(240,a,8113,a(flip),b,8140,a)]. 8685 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7488(a,1),8165(a,2,2))]. 8686 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4541(a,2),8174(a,1,2))]. 8687 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3974(a,1),8288(a,1,2,1))]. 8688 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4420(a,1),8290(a,1,2)),flip(a)]. 8689 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(240,a,4750,a,b,8297,a)]. 8690 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(6471(a,1),8689(a,2,1,2,1))]. 8691 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7210(a,1),8689(a,2,1,2))]. 8692 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). [para(7560(a,1),8305(a,2,2))]. 8693 x / K(y,T(z * x,x)) = T(x,K(y,z)) * K(z * x,y). [para(6964(a,2),8308(a,1,2))]. 8694 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8087,a,8371,a),flip(a)]. 8695 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4779(a,1),8377(a,1,2))]. 8697 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8384(a,1,1,1,1)),flip(a)]. 8698 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(240,a,7098,a(flip),b,8387,a)]. 8699 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8698(a,1,1,1)),flip(a)]. 8700 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6589,a,8699,a)]. 8701 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(8699(a,1),4836(a,2,2,2)),flip(a)]. 8702 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1726(a,2),8469(a,1,2))]. 8703 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(240,a,7785,a(flip),b,8471,a)]. 8704 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(240,a,42,a,b,8473,a)]. 8705 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7099(a,1),8492(a,1,1,2))]. 8707 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(8517(a,1),7302(a,1))]. 8708 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(7378(a,1),8535(a,1))]. 8709 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(240,a,8570,a(flip),b,8572,a)]. 8711 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5001,a,8580,a),flip(a)]. 8712 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4777(a,1),8581(a,2,1))]. 8713 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(240,a,7952,a(flip),b,8588,a)]. 8714 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8588(a,2),7531(a,1,1))]. 8715 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7952(a,1),8713(a,1,1))]. 8716 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7953(a,1),8713(a,1,1))]. 8717 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(240,a,8591,a(flip),b,8715,a(flip)),flip(a)]. 8718 x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8715(a,2),4803(a,1,2))]. 8719 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(240,a,8590,a(flip),b,8716,a(flip)),flip(a)]. 8720 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3867(a,1),8717(a,1,2)),flip(a)]. 8721 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6511(a,1),8719(a,1,2)),flip(a)]. 8722 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8600(a,2),7801(a,1))]. 8723 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(121(a,1),8722(a,1,2,1))]. 8724 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(240,a,8615,a(flip),b,8611,a)]. 8726 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8599(a,1),8724(a,1,1))]. 8727 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(463(a,1),8616(a,1,2,2)),flip(a)]. 8728 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(240,a,7967,a(flip),b,8626,a)]. 8729 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(11(a,1),8728(a,1,2,2,1))]. 8730 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(8729(a,1),7503(a,1,2))]. 8731 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8666(a,1),16(a,1,1))]. 8732 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8675(a,1),7199(a,1,1))]. 8733 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4896,a,8701,a),flip(a)]. 8734 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(240,a,7368,a,b,8733,a(flip)),flip(a)]. 8735 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(73,a,8704,a(flip),b,5068,a),flip(a)]. 8736 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8704(a,1),6919(a,1,1,2)),flip(a)]. 8737 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8731(a,1),5184(a,1,2))]. 8738 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8731(a,1),5194(a,1,2))]. 8739 ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). [para(4735(a,2),8737(a,1,2,1,2))]. 8740 ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). [para(4776(a,2),8737(a,1,2,1,2))]. 8741 ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,x)). [para(5486(a,1),8737(a,1,2,1,2,2))]. 8743 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(780,a,6905,a),flip(a)]. 8744 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8743(a,2),5863(a,1,2))]. 8745 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(6964(a,2),6971(a,1,1))]. 8746 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(240,a,8486,a(flip),b,7111,a)]. 8748 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(7918(a,1),7177(a,1,1)),flip(a)]. 8749 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(240,a,5231,a(flip),b,8748,a)]. 8751 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(5691(a,1),7386(a,1,2,1))]. 8752 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(240,a,4493,a(flip),b,7393,a)]. 8753 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(240,a,7142,a(flip),b,7414,a)]. 8755 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7745(a,1),7702(a,2,2))]. 8756 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(240,a,6472,a(flip),b,8755,a)]. 8758 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7803,a,8114,a),flip(a)]. 8760 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7487(a,1),8240(a,1,1))]. 8761 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5298(a,1),8251(a,1,2))]. 8762 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(8281,a,6862,a),flip(a)]. 8763 K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. [para(6862(a,1),8281(a,1))]. 8765 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(8762(a,1),4532(a,1,1,2,1)),flip(a)]. 8766 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [hyper(7495,a,8318,a),flip(a)]. 8767 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(240,a,8412,a(flip),b,8325,a(flip)),flip(a)]. 8768 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8375(a,1),7451(a,1,1)),flip(a)]. 8769 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(8464(a,1),2165(a,1))]. 8770 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(608(a,1),8505(a,1,2))]. 8771 K(x,a(K(x,y),z,u)) = 1. [hyper(240,a,5673,a(flip),b,8770,a(flip))]. 8773 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8771,a)]. 8774 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,8773,a)]. 8775 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8773(a,1),122(a,1,2))]. 8776 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8773(a,1),7099(a,1,2,1)),flip(a)]. 8777 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8774(a,1),7099(a,1,2,1)),flip(a)]. 8779 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8598(a,2,2))]. 8781 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7780,a,8680,a)]. 8782 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(240,a,6263,a(flip),b,8700,a(flip)),flip(a)]. 8785 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8592(a,1),8718(a,1))]. 8786 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(5993,a,8745,a)]. 8788 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(240,a,8631,a(flip),b,8786,a)]. 8789 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(8786(a,2),8633(a,1))]. 8790 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),8788(a,1,2,1,1)),flip(a)]. 8791 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3974(a,1),8790(a,1,2,1)),flip(a)]. 8792 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4010(a,2),8790(a,1,2,1)),flip(a)]. 8793 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),8752(a,1,2,2)),flip(a)]. 8794 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(240,a,8472,a(flip),b,8753,a(flip)),flip(a)]. 8796 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8794(a,1,2,2)),flip(a)]. 8797 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(240,a,8075,a(flip),b,8796,a(flip)),flip(a)]. 8799 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8797(a,1,2,2)),flip(a)]. 8800 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(148(a,1),8797(a,1,2,2)),flip(a)]. 8801 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(7800,a,8799,a),flip(a)]. 8802 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(240,a,7465,a,b,8799,a)]. 8803 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7826,a,8802,a)]. 8804 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(8802(a,2),7820(a,1))]. 8805 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8803(a,1,2,2)),flip(a)]. 8806 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(118(a,1),8803(a,1,2,2))]. 8807 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8001,a,8805,a)]. 8808 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),8807(a,1,2,2)),flip(a)]. 8809 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7999,a,8808,a),flip(a)]. 8810 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7489,a,8806,a)]. 8811 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(8806(a,1),7525(a,1,1))]. 8813 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(7853,a,8811,a),flip(a)]. 8814 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),8813(a,1,2,2,1)),flip(a)]. 8815 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7307,a,8814,a),flip(a)]. 8816 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(240,a,8586,a(flip),b,8758,a(flip)),flip(a)]. 8818 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(240,a,8434,a(flip),b,8816,a(flip)),flip(a)]. 8820 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(240,a,6979,a(flip),b,8818,a)]. 8821 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(240,a,8450,a(flip),b,8818,a(flip)),flip(a)]. 8822 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),8818(a,1,2,2,2)),flip(a)]. 8823 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8821(a,1,2,2,2)),flip(a)]. 8824 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(8823(a,1),7796(a,1))]. 8825 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7616,a,8761,a)]. 8826 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(7507(a,1),8766(a,1,2,2))]. 8827 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(240,a,7021,a(flip),b,8781,a),flip(a)]. 8828 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),8827(a,1,1,1)),flip(a)]. 8829 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8828(a,1,1,2)),flip(a)]. 8831 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(8602,a,8829,a),flip(a)]. 8832 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7743(a,1),8829(a,1,1))]. 8833 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(182,a,6938,a,b,6864,a)]. 8834 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(5887,a,8833,a),flip(a)]. 8835 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7494(a,1),8833(a,1,1)),flip(a)]. 8836 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(240,a,7516,a,b,8834,a),flip(a)]. 8837 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(5644(a,1),8834(a,2,2))]. 8838 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [hyper(18,a,7504,a,b,8836,a),flip(a)]. 8839 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [para(7100(a,1),8838(a,1,2,2)),flip(a)]. 8840 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4815(a,1),8839(a,1,2,2))]. 8841 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5530(a,1),8839(a,1,2,2)),flip(a)]. 8842 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(240,a,7727,a(flip),b,8840,a)]. 8843 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(240,a,411,a(flip),b,6876,a)]. 8844 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(240,a,7190,a(flip),b,7034,a(flip))]. 8845 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(240,a,8139,a(flip),b,7046,a(flip)),flip(a)]. 8847 K(x,K(y,(z / x) \ u)) != w | K(x,K(y,z \ (u * x))) = w. [para(8845(a,1),7773(a,1))]. 8848 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(240,a,7142,a(flip),b,7158,a)]. 8850 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),7264(a,1,1,1,2,1))]. 8851 (K(x \ 1,y) * z) \ (1 * z) = K(y,(x * z) \ (1 * z)). [para(4754(a,1),7264(a,1,1,1))]. 8852 K(x,((y \ z) * u) \ (1 * u)) = (K(z \ y,x) * u) \ (1 * u). [para(6019(a,1),8851(a,1,1,1)),flip(a)]. 8853 K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,z)). [para(7827(a,1),7285(a,1,2)),flip(a)]. 8854 K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). [hyper(240,a,8293,a(flip),b,8853,a)]. 8855 (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. [para(7332(a,1),7843(a,1))]. 8856 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5000(a,1),7411(a,1,1,2))]. 8857 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(5119(a,1),8856(a,2,2))]. 8858 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5328(a,1),8856(a,2,2))]. 8860 (((x * y) * K(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [hyper(75,a,8857,a,b,312,a)]. 8861 L(x \ 1,K(x,y),z) = x \ 1. [hyper(438,a,8858,a)]. 8862 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(240,a,6111,a(flip),b,7437,a)]. 8863 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(240,a,7272,a,b,8862,a)]. 8864 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),8863(a,2,2))]. 8865 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7491(a,2),7523(a,2,2,1))]. 8866 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7606(a,1),7666(a,1,1)),flip(a)]. 8867 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(8866(a,1),542(a,1))]. 8868 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(8867,a,5761,a),flip(a)]. 8869 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4914(a,1),8868(a,1,2))]. 8870 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5487(a,1),8869(a,2,2))]. 8871 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(5949,a,7690,a)]. 8872 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(5430,a,7759,a)]. 8873 (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(y,z)). [para(7586(a,1),7858(a,1,2)),flip(a)]. 8874 T(x,y) * ((z / x) * K(x,K(z,y))) = T(T(x,y),x \ z) * (x \ z). [para(8873(a,1),7168(a,1,2))]. 8875 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(x,y)). [hyper(240,a,7845,a(flip),b,7877,a)]. 8876 ((x \ y) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,y)). [hyper(7850,a,7878,a),flip(a)]. 8877 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(7883(a,1),7223(a,1,2)),flip(a)]. 8878 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(7911,a,7913,a),flip(a)]. 8879 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8601,a,7915,a),flip(a)]. 8881 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4759(a,1),8879(a,1,2,2)),flip(a)]. 8882 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(6988(a,1),8879(a,1,2,2))]. 8883 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(240,a,6460,a,b,8881,a(flip)),flip(a)]. 8884 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),8883(a,1,2))]. 8885 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(5918(a,1),8883(a,1,2))]. 8886 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(7179(a,1),8883(a,1,2))]. 8887 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8882(a,1),7098(a,1,1,2)),flip(a)]. 8888 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3660(a,1),8884(a,2,2))]. 8889 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(240,a,8879,a(flip),b,8885,a)]. 8891 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(16(a,1),8889(a,1,2)),flip(a)]. 8892 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(240,a,8891,a(flip),b,8886,a)]. 8894 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(7100(a,1),8892(a,1,2)),flip(a)]. 8895 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(240,a,7098,a(flip),b,8887,a)]. 8896 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(8887(a,2),7112(a,1))]. 8897 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(240,a,6357,a(flip),b,8895,a(flip)),flip(a)]. 8898 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5178(a,1),8895(a,1,1,2)),flip(a)]. 8900 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(240,a,6352,a(flip),b,8897,a)]. 8901 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4832(a,1),8900(a,1,2))]. 8902 R(K(x,y),z \ K(z,x),u) = R(K(x,y),z \ 1,u). [para(5167(a,1),8900(a,1,2)),flip(a)]. 8903 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8901(a,1),6438(a,1,1))]. 8904 (x \ 1) * (R(K(y,z),x \ K(x,y),u) * u) = ((((x \ 1) * (K(y,z) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. [para(8902(a,2),1898(a,2,2,1)),flip(a)]. 8905 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8903(a,1),20(a,1)),flip(a)]. 8906 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(240,a,5532,a(flip),b,8111,a)]. 8907 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(8304,a,8111,a(flip))]. 8908 T(T(x,K(y,z)),y / z) = T(x,z \ y). [hyper(7571,a,8907,a)]. 8909 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [para(4529(a,1),8908(a,1,1))]. 8910 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(5690(a,1),8908(a,1,1)),flip(a)]. 8911 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7562(a,1),8908(a,1,1)),flip(a)]. 8912 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5300(a,1),8911(a,1,1,2))]. 8913 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(4040,a,8909,a)]. 8914 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(73,a,8906,a(flip),b,4779,a)]. 8915 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(8913(a,1),6150(a,1,2))]. 8916 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(65(a,1),8915(a,1,2,2)),flip(a)]. 8917 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(629(a,1),8144(a,1,1,2,1)),flip(a)]. 8918 R(x,(y / z) \ 1,y / z) = R(x,(z \ y) \ 1,z \ y). [para(124(a,1),8275(a,1,3)),flip(a)]. 8919 x \ R(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). [hyper(73,a,8918,a(flip),b,3580,a)]. 8922 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8307(a,1),8202(a,1))]. 8923 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(240,a,7936,a(flip),b,8313,a)]. 8924 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),8923(a,1,2,2,1,2))]. 8925 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(240,a,5298,a(flip),b,8924,a(flip)),flip(a)]. 8927 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(7844(a,1),8378(a,1,1))]. 8930 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8076,a,8481,a)]. 8931 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(124(a,1),8481(a,2,2,2))]. 8932 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(8083,a,8931,a)]. 8933 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(240,a,8930,a(flip),b,8932,a(flip)),flip(a)]. 8934 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8480,a,8933,a)]. 8935 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(62(a,1),8934(a,1,2,1,2)),flip(a)]. 8936 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(240,a,8173,a(flip),b,8935,a(flip))]. 8937 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(240,a,8142,a,b,8936,a(flip)),flip(a)]. 8938 (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(7487(a,1),8507(a,1,1,2))]. 8939 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8558,a,b,8528,a)]. 8940 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1163(a,1),8939(a,1,2,2))]. 8941 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8515(a,1),8939(a,1,2)),flip(a)]. 8942 (((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(8547(a,1),6189(a,1,2,1))]. 8943 L(x,T(x,y) \ z,T(x,y)) = z \ (x * (z * K(z / T(x,u),x))). [hyper(73,a,8582,a(flip),b,435,a),flip(a)]. 8945 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8711(a,1),8687(a,2,2))]. 8946 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(240,a,8288,a,b,8945,a),flip(a)]. 8947 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(240,a,8311,a(flip),b,8946,a(flip))]. 8948 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(240,a,8401,a,b,8947,a(flip)),flip(a)]. 8949 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(123(a,1),8948(a,1,2,1))]. 8950 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(240,a,8466,a(flip),b,8697,a(flip))]. 8951 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7945(a,1),8714(a,1,1,1)),flip(a)]. 8952 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8591(a,1),8951(a,2,1))]. 8953 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(240,a,4809,a,b,8952,a)]. 8954 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8010,a,8953,a),flip(a)]. 8955 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(8785,a,8954,a)]. 8956 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(8954(a,1),8785(a,1))]. 8957 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(627(a,1),8955(a,1,2,2)),flip(a)]. 8958 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8955(a,1),8833(a,2,2))]. 8959 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(240,a,7478,a(flip),b,8730,a(flip))]. 8960 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(6964(a,2),8959(a,2,1))]. 8961 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8034(a,1),8960(a,2,1))]. 8962 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(8961(a,2),7104(a,1,1))]. 8963 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(5184(a,1),8739(a,1,2,1,2,2)),flip(a)]. 8964 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(231,a,8744,a)]. 8965 L(K(x,y),z,x \ 1) = K(x,y). [hyper(4679,a,8964,a)]. 8966 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(17,a,8610,a,b,8964,a),flip(a)]. 8967 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(8964(a,1),7098(a,1,1))]. 8968 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(240,a,3576,a(flip),b,8965,a(flip)),flip(a)]. 8969 K(R(x,x \ 1,y),L(z,u,x \ 1)) = K(x,z). [hyper(240,a,6353,a,b,8966,a(flip)),flip(a)]. 8970 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(5798,a,8968,a)]. 8971 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(8968(a,1),106(a,1,2))]. 8972 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(8454(a,1),8970(a,1,1,1)),flip(a)]. 8973 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(8972(a,1),5636(a,1,1)),flip(a)]. 8974 L(K(x,y),z,y \ 1) = K(x,y). [hyper(8492,a,8967,a)]. 8975 K(L(x,y,z \ 1),z) = K(x,z). [hyper(8723,a,8974,a)]. 8976 K((1 / x) * y,x) = K(x \ y,x). [hyper(240,a,6269,a(flip),b,8974,a(flip)),flip(a)]. 8978 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8086,a,8975,a)]. 8979 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(408(a,1),8975(a,1,1))]. 8980 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(2708(a,1),8975(a,1,1)),flip(a)]. 8981 K(x \ ((1 / x) \ y),x) = K(y,x). [para(14(a,1),8976(a,1,1)),flip(a)]. 8982 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(5499,a,8981,a)]. 8983 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(8982(a,1),8397(a,1,2,1)),flip(a)]. 8984 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(8980(a,1),4738(a,1,2))]. 8985 R(x,y,K(x \ 1,z)) = x. [hyper(4689,a,8971,a)]. 8987 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(8985(a,1),42(a,2,1))]. 8989 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(240,a,5840,a(flip),b,8987,a(flip))]. 8991 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(73,a,8989,a(flip),b,4800,a(flip)),flip(a)]. 8992 T(x,K(x \ 1,y) * z) = T(x,z). [para(6988(a,1),8989(a,1,2))]. 8994 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(7399(a,1),8989(a,1,2))]. 8996 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3022(a,1),8992(a,1,2,1))]. 8997 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5530(a,1),8992(a,1,2)),flip(a)]. 8998 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(240,a,4753,a,b,8991,a)]. 8999 K(x,y / K(x \ 1,z)) = K(x,y). [para(16(a,1),8998(a,1,2)),flip(a)]. 9000 K(x,K(x \ 1,y) * z) = K(x,z). [para(6988(a,1),8998(a,1,2))]. 9001 K(x,y * K(z,x \ 1)) = K(x,y). [para(7090(a,1),8998(a,1,2)),flip(a)]. 9002 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3022(a,1),8999(a,1,2,2))]. 9003 K(x,y * K(z,x \ 1)) \ 1 = K(y,x). [para(9001(a,2),4977(a,1,1))]. 9004 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6111(a,1),9001(a,1,2,2))]. 9005 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(8996(a,1),841(a,1,2,2)),flip(a)]. 9006 T(x \ 1,y * x) = T(x \ 1,x * y). [para(4774(a,1),8996(a,1,2)),flip(a)]. 9008 K(x \ 1,y * x) = K(x \ 1,x * y). [para(141(a,1),9002(a,1,2))]. 9009 K(x * K(y,z \ 1),z) = K(x,z). [hyper(4999,a,9003,a)]. 9010 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(1327(a,1),9009(a,1,1))]. 9011 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6111(a,1),9009(a,1,1,2))]. 9012 K(K(x,y \ 1) * z,y) = K(z,y). [para(7099(a,1),9009(a,1,1))]. 9013 K(K(x,1 / y) * z,y) = K(z,y). [para(3451(a,2),9012(a,1,1,1))]. 9014 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5140(a,1),9012(a,1,1,1))]. 9015 K((1 / x) * y,x) = K(y * (1 / x),x). [para(4774(a,1),9013(a,1,1)),flip(a)]. 9016 K(T(x,1 / y) / z,y) = K(x / z,y). [para(5479(a,1),9013(a,1,1))]. 9017 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(9006(a,1),1971(a,1,2,1,1))]. 9018 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(9006(a,2),1971(a,1,1))]. 9019 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(9008(a,2),5494(a,2,2))]. 9020 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(9008(a,1),5833(a,1,2))]. 9021 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [para(9008(a,1),5843(a,2,2))]. 9022 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(240,a,5263,a(flip),b,9015,a)]. 9023 K(T(x / (y / (y / z)),1 / u) / (y / z),u) = K((x / z) / (z \ y),u). [para(7428(a,1),9016(a,2,1))]. 9024 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7092(a,1),9004(a,1,2))]. 9025 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(7092(a,1),9011(a,1,1))]. 9026 K((x / y) * z,y / x) = K((y \ x) * z,y / x). [para(5372(a,1),9014(a,1,1))]. 9027 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5530(a,1),9014(a,1,1)),flip(a)]. 9028 L(x,y,K(x \ 1,z)) = x. [hyper(4679,a,8973,a)]. 9032 L(x \ 1,y,K(x,z)) = x \ 1. [para(3022(a,1),9028(a,1,3))]. 9035 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9032(a,1),106(a,1,2))]. 9036 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9032(a,1),831(a,1,1)),flip(a)]. 9040 K(x * y,1 / y) = K(y * x,1 / y). [hyper(240,a,5269,a(flip),b,9022,a(flip))]. 9041 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),9040(a,2,1))]. 9042 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9024(a,2),6054(a,2,2))]. 9043 R(K(x,y),z,x \ 1) = K(x,y). [hyper(4689,a,9035,a)]. 9044 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(232,a,9035,a)]. 9045 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(182,a,9035,a,b,5860,a)]. 9047 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8602,a,9043,a)]. 9048 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9047(a,1),4800(a,2,2))]. 9049 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9047(a,1),5448(a,1,2)),flip(a)]. 9050 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(240,a,4800,a,b,9048,a)]. 9051 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(725(a,1),9050(a,1,2))]. 9052 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),9045(a,2,2))]. 9053 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(240,a,3199,a(flip),b,9049,a)]. 9054 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(73,a,9053,a,b,5171,a)]. 9055 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(7761(a,1),8848(a,1,1,1,1,2)),flip(a)]. 9056 K(x,((y \ z) * u) \ (1 * u)) = (K(z \ y,x) * u) \ u. [para(11(a,1),8852(a,2,2))]. 9057 K(x,((y \ z) * u) \ (1 * u)) = K(x,T(z \ y,u)). [hyper(240,a,7042,a(flip),b,9056,a)]. 9058 K(x,((y \ z) * u) \ u) = K(x,T(z \ y,u)). [para(11(a,1),9057(a,1,2,2))]. 9059 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(240,a,7075,a,b,9058,a(flip)),flip(a)]. 9060 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(8232,a,9059,a)]. 9061 K(((x \ y) \ 1) \ z,T(y \ x,u)) != w | K(T((x \ y) \ 1,v5) \ z,T((x \ y) \ 1,u)) = w. [para(9059(a,1),8233(a,1))]. 9062 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(310,a,8865,a),flip(a)]. 9063 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(401,a,8871,a(flip),b,106,a),flip(a)]. 9064 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(240,a,5262,a(flip),b,8872,a)]. 9066 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(240,a,8844,a(flip),b,8914,a)]. 9067 a(x,(y / z) \ 1,y / z) = a(x,(z \ y) \ 1,z \ y). [hyper(3582,a,8919,a),flip(a)]. 9068 a(x,(1 / y) \ 1,1 / y) = a(x,y,y \ 1). [hyper(240,a,4711,a(flip),b,9067,a)]. 9070 (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). [para(7952(a,1),8938(a,1,1,2))]. 9071 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). [hyper(240,a,7480,a(flip),b,9070,a(flip)),flip(a)]. 9072 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). [hyper(240,a,7560,a,b,9071,a)]. 9073 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(8940(a,2),8001(a,1))]. 9074 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(240,a,8782,a(flip),b,8979,a(flip)),flip(a)]. 9075 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(240,a,9010,a(flip),b,9074,a)]. 9076 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(8054,a,9075,a)]. 9077 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(240,a,8405,a(flip),b,9076,a(flip)),flip(a)]. 9078 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7491(a,2),9062(a,1,2,1))]. 9079 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6964(a,2),6972(a,1,1))]. 9080 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7209(a,1,1))]. 9081 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1321(a,1),7248(a,1,1,2))]. 9082 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5016,a,7289,a),flip(a)]. 9083 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(240,a,7412,a,b,9082,a(flip)),flip(a)]. 9084 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9083(a,1),7199(a,1,1,2)),flip(a)]. 9085 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(669,a,7442,a),flip(a)]. 9086 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7624(a,1),8577(a,1,2))]. 9087 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(6964(a,2),7649(a,1,1))]. 9088 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(6986(a,2),7650(a,1,1))]. 9089 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8815(a,1),7650(a,1,1,1))]. 9090 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(240,a,5463,a(flip),b,7748,a)]. 9091 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(7090(a,1),9090(a,1,2)),flip(a)]. 9092 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(240,a,5313,a(flip),b,7928,a(flip))]. 9094 ((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(9092(a,1),6560(a,2,2,2,1,1))]. 9095 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(7164(a,1),9092(a,1,2)),flip(a)]. 9096 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(7897(a,1),9095(a,1,2))]. 9097 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [hyper(8419,a,8286,a)]. 9098 T(x,T(L(y \ 1,y,z),u)) = T(x,T(y \ 1,u)). [hyper(240,a,8292,a(flip),b,8294,a)]. 9099 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(352(a,1),9098(a,1,2,1)),flip(a)]. 9100 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [hyper(7085,a,9099,a)]. 9101 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(240,a,6968,a(flip),b,8426,a)]. 9102 T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). [para(7592(a,1),8451(a,1,1)),flip(a)]. 9103 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(240,a,3022,a,b,8530,a)]. 9104 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(2036(a,2),8530(a,2,2,1,2))]. 9105 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(8584,a,8486,a),flip(a)]. 9106 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(8723,a,9105,a)]. 9107 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(240,a,8724,a(flip),b,9105,a(flip)),flip(a)]. 9108 L(K(x,y),z,y) = K(x,y). [para(324(a,1),9105(a,1,3))]. 9109 K(L(x,y,z),z) = K(x,z). [hyper(8723,a,9108,a)]. 9110 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6380,a,9108,a)]. 9112 K(x,L(y,z,y)) = K(x,y). [hyper(240,a,8724,a(flip),b,9108,a(flip)),flip(a)]. 9113 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(240,a,6263,a(flip),b,9108,a(flip))]. 9114 (x * y) * K(z,x) = x * (y * K(z,x)). [para(9108(a,1),106(a,1,2))]. 9118 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),9109(a,1,1))]. 9119 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9109(a,1),5461(a,1,2,1,2)),flip(a)]. 9120 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5891(a,1),9109(a,1,1))]. 9121 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9109(a,1),7629(a,1,1,2)),flip(a)]. 9122 T(x,L(y,z,y)) = x * K(x,y). [para(9112(a,1),4800(a,2,2))]. 9123 T(x,L(y,z,y)) = T(x,y). [hyper(240,a,4800,a,b,9122,a)]. 9124 T(x,L(y,z,y)) != u | T(x,y) = u. [para(9122(a,2),4803(a,1))]. 9125 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(387,a,9123,a),flip(a)]. 9126 T(x,T(T(y,z),z)) = T(x,L(y,u,y)). [hyper(240,a,7897,a,b,9123,a),flip(a)]. 9128 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(9123(a,1),122(a,1,2))]. 9130 T(x,T(y / z,y)) = T(x,z \ y). [para(5441(a,1),9123(a,1,2))]. 9131 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(9123(a,1),8431(a,1,2,1))]. 9132 T(x,R(y,z,y)) = T(x,y). [para(8454(a,1),9123(a,1,2)),flip(a)]. 9133 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(387,a,9132,a),flip(a)]. 9134 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9132(a,1),122(a,1,2))]. 9135 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4224(a,1),9132(a,1,2))]. 9136 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(7383(a,1),9132(a,1,2))]. 9137 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(3983(a,1),9106(a,1,1))]. 9139 T(x,(y * z) \ y) != u | T(x,z \ 1) = u. [para(6106(a,1),9124(a,1))]. 9140 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(240,a,6898,a(flip),b,9135,a(flip))]. 9141 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(240,a,6897,a(flip),b,9135,a(flip))]. 9142 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(9126(a,2),9124(a,1))]. 9143 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(124(a,1),9142(a,1,2,1))]. 9144 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(194(a,1),9142(a,1,2,1))]. 9145 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7013(a,1),9142(a,1))]. 9146 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(196(a,1),9145(a,1,2))]. 9147 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(9130(a,1),9145(a,1))]. 9148 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(240,a,6291,a,b,9110,a(flip)),flip(a)]. 9149 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(240,a,6252,a,b,9110,a(flip)),flip(a)]. 9150 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),9110(a,1,1,1)),flip(a)]. 9151 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9110(a,1),6053(a,1,2))]. 9152 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(240,a,8364,a,b,9113,a)]. 9153 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(9113(a,1),5458(a,1,1,1,2))]. 9154 R(x,y,K(z,x)) = x. [hyper(4689,a,9114,a)]. 9155 (x * (y * K(z,x))) / x = (x * y) / T(x,z). [hyper(75,a,9114,a(flip),b,7179,a)]. 9157 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(9114(a,1),8610(a,2,2))]. 9159 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9154(a,1),477(a,1,1,1)),flip(a)]. 9160 R(x,y,K(z,T(x,u))) = x. [para(6974(a,1),9154(a,1,3))]. 9161 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9160(a,1),478(a,1,1,1)),flip(a)]. 9162 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9125(a,1),122(a,1,2)),flip(a)]. 9163 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(124(a,1),9128(a,1,2))]. 9164 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(9133(a,1),7737(a,1,1,2)),flip(a)]. 9165 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(124(a,1),9134(a,1,2))]. 9167 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(240,a,8228,a(flip),b,9148,a)]. 9168 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9148(a,1),5458(a,1,1,1,2))]. 9169 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(9148(a,2),8054(a,1))]. 9170 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(240,a,9077,a,b,9167,a(flip)),flip(a)]. 9171 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(240,a,7629,a(flip),b,9121,a)]. 9172 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(454(a,1),9171(a,1,2,2)),flip(a)]. 9175 T(x,(y * (z * u)) \ (y * z)) != w | T(x,L(u,z,y) \ 1) = w. [para(106(a,1),9139(a,1,2,1))]. 9176 T(x,((y \ z) \ z) \ z) != u | T(x,z / y) = u. [para(3965(a,1),9143(a,1,2))]. 9177 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9170(a,1),5318(a,1,2,1,2))]. 9178 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8922,a,9140,a)]. 9179 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6316,a,9149,a)]. 9180 (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). [para(7104(a,1),9155(a,1,1,2))]. 9181 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(240,a,5514,a(flip),b,9179,a(flip))]. 9182 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(8054,a,9181,a),flip(a)]. 9183 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(9182(a,1),4836(a,2,2,2))]. 9184 T(x,T(x,y) / z) = T(x,z \ x). [hyper(9147,a,8543,a)]. 9186 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(8366(a,1),9169(a,1))]. 9187 T(x,T(y \ z,z)) != u | T(x,z / y) = u. [para(9136(a,1),9176(a,1))]. 9188 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6261(a,2),9186(a,1))]. 9189 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6291(a,1),9186(a,1))]. 9190 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5489(a,2),9189(a,1))]. 9191 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(240,a,4559,a,b,9151,a),flip(a)]. 9192 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,9151,a)]. 9193 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),9151(a,2,2,1,2))]. 9195 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(9151(a,1),7112(a,1,1))]. 9196 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(4679,a,9159,a)]. 9197 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(6380,a,9196,a)]. 9198 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(795(a,1),9172(a,1,2,2)),flip(a)]. 9199 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),9191(a,1,1,1,2)),flip(a)]. 9200 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(240,a,8367,a(flip),b,9197,a)]. 9202 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9200(a,1),7491(a,2,2))]. 9203 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(240,a,6328,a(flip),b,9120,a(flip)),flip(a)]. 9204 K(K(x \ y,x) * z,y) = K(z,y). [hyper(8063,a,9203,a),flip(a)]. 9207 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(9204(a,1),4800(a,2,2)),flip(a)]. 9208 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(240,a,4836,a,b,9183,a)]. 9209 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(8550,a,9208,a),flip(a)]. 9210 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4858,a,9209,a)]. 9211 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),9210(a,1,2,2)),flip(a)]. 9212 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(240,a,8513,a,b,9211,a(flip)),flip(a)]. 9213 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(9199(a,1),8501(a,1,2,1))]. 9214 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(240,a,7491,a(flip),b,9202,a)]. 9215 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5997,a,9207,a),flip(a)]. 9216 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4993(a,1),9215(a,2,1))]. 9217 (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(4559(a,2),9157(a,2,2))]. 9218 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(240,a,5461,a(flip),b,9119,a)]. 9219 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(456(a,1),9218(a,1,1)),flip(a)]. 9220 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(5432,a,9219,a),flip(a)]. 9221 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(240,a,8668,a(flip),b,9178,a(flip)),flip(a)]. 9222 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7299,a,9221,a)]. 9224 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(240,a,8632,a(flip),b,9222,a)]. 9225 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(240,a,6510,a(flip),b,9224,a)]. 9226 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4642(a,1),9192(a,2,1)),flip(a)]. 9227 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4993(a,1),9216(a,1,1,1))]. 9228 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5887,a,9227,a),flip(a)]. 9229 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9228(a,2),188(a,1,2,2))]. 9230 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9228(a,2),448(a,2,2))]. 9231 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(626(a,1),9220(a,1,2)),flip(a)]. 9232 T((x \ y) * z,K(y,x)) = (x \ y) * T(z,K(y,x)). [hyper(8855,a,8692,a)]. 9233 K(x,y \ 1) * T((x \ (y \ x)) * z,K(y \ x,x)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9232(a,2),5556(a,1,2))]. 9234 ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [para(5929(a,1),8860(a,1,1,1))]. 9235 ((x * T(y,z)) * (y \ 1)) * K(z,y) = R(x,y,y \ K(y,z)). [hyper(7113,a,9234,a)]. 9236 (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ K(y,z)). [hyper(240,a,6596,a(flip),b,9235,a(flip)),flip(a)]. 9237 L(x,T(x,y) \ z,T(x,y)) = z \ (x * ((x \ z) * x)). [para(7284(a,1),8943(a,2,2,2))]. 9238 L(x,T(x,y) \ z,T(x,y)) = L(x,x \ z,x). [hyper(240,a,107,a(flip),b,9237,a)]. 9239 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [hyper(7073,a,9238,a)]. 9242 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(3898,a,9079,a),flip(a)]. 9244 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(240,a,7406,a(flip),b,9242,a(flip))]. 9245 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(240,a,8513,a,b,9244,a)]. 9246 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9245(a,1,2,1,1)),flip(a)]. 9247 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(240,a,8525,a,b,9246,a(flip)),flip(a)]. 9248 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),9247(a,1,2,1)),flip(a)]. 9249 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7778,a,9248,a)]. 9250 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(240,a,8566,a(flip),b,9249,a(flip)),flip(a)]. 9251 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),9250(a,2,2))]. 9252 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(2557(a,1),9080(a,2,1,1))]. 9253 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9087(a,1),6435(a,1,1)),flip(a)]. 9254 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(240,a,5815,a,b,9088,a)]. 9255 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6650(a,1),9097(a,1,1))]. 9256 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(38(a,1),9254(a,1,1,2))]. 9257 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(9254(a,1),6650(a,1,1)),flip(a)]. 9258 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(240,a,8483,a(flip),b,9255,a)]. 9259 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(9258(a,1),7562(a,1,1))]. 9260 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,6749,a(flip),b,7018,a(flip))]. 9261 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(240,a,5512,a(flip),b,9260,a(flip)),flip(a)]. 9262 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(172(a,1),9260(a,1,1,2)),flip(a)]. 9263 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(240,a,8373,a(flip),b,9262,a)]. 9264 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(9262(a,2),6208(a,1))]. 9265 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(240,a,8117,a(flip),b,7087,a)]. 9266 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7303,a,9265,a)]. 9269 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(5131(a,1),7240(a,1,2)),flip(a)]. 9270 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4777(a,1),7387(a,1,1)),flip(a)]. 9271 R(x,y,x * K(z,x)) = R(x,y,x). [para(4777(a,1),9270(a,1,3)),flip(a)]. 9272 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4813(a,1),9271(a,1,3))]. 9273 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7431(a,1),7221(a,1))]. 9274 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7551(a,1),7518(a,1,1))]. 9275 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9274(a,1),120(a,1,1,1)),flip(a)]. 9276 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9274(a,1),5192(a,1,2))]. 9277 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(9144,a,7907,a)]. 9278 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(240,a,3995,a(flip),b,9277,a)]. 9280 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(240,a,4414,a(flip),b,9278,a)]. 9281 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(8520,a,8106,a)]. 9282 (1 / (1 / ((x * y) / x))) \ K(x,y) = (y \ 1) * K(y,1 / y). [para(4798(a,1),8376(a,1,1)),flip(a)]. 9283 (1 / (1 / ((x * y) / x))) \ K(x,y) = 1 / y. [hyper(240,a,4821,a(flip),b,9282,a)]. 9284 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(240,a,3945,a(flip),b,8388,a)]. 9285 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(75,a,8424,a(flip),b,8476,a(flip))]. 9286 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4644(a,1),8495(a,1,1,2))]. 9287 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(987(a,1),8560(a,1,2))]. 9288 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5221,a,8665,a),flip(a)]. 9289 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(9190,a,9288,a),flip(a)]. 9290 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(240,a,8647,a,b,9289,a(flip)),flip(a)]. 9291 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(14(a,1),9289(a,1,1,2,2))]. 9292 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(16(a,1),9290(a,1,1,2,1)),flip(a)]. 9293 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7491(a,1),8685(a,1,1,1))]. 9297 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5928(a,1),8850(a,1,1,1)),flip(a)]. 9298 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9297(a,2),14(a,1,2))]. 9299 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(5942(a,1),9297(a,2,1))]. 9300 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5961(a,1),9298(a,1,2,2))]. 9301 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9298(a,1),7098(a,1,1)),flip(a)]. 9302 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9298(a,1),8645(a,1,1,2)),flip(a)]. 9303 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(7090(a,1),9300(a,1,1,1))]. 9304 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7099(a,1),9302(a,1,1,2,1))]. 9305 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7100(a,1),9302(a,1,1,2,1)),flip(a)]. 9306 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(8186,a,9303,a),flip(a)]. 9307 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9303(a,2),5918(a,1,1))]. 9308 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(475(a,1),9304(a,1,1))]. 9309 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9305(a,1),8737(a,1,2,1,2,2)),flip(a)]. 9311 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7142(a,1),9306(a,1,1,2))]. 9313 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),8864(a,1,2))]. 9314 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(240,a,9064,a(flip),b,9313,a(flip)),flip(a)]. 9315 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9314(a,2),8055(a,1))]. 9316 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(678(a,1),9054(a,2,2))]. 9317 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4925(a,1),9316(a,1,2)),flip(a)]. 9318 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9317(a,1),8500(a,1,2,1))]. 9319 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(240,a,7348,a(flip),b,9318,a(flip)),flip(a)]. 9320 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(240,a,7233,a(flip),b,9084,a)]. 9321 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9320(a,2,2))]. 9322 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3958(a,2),9321(a,1,2,1)),flip(a)]. 9323 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(4679,a,9161,a)]. 9324 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(240,a,9101,a(flip),b,9323,a(flip)),flip(a)]. 9325 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(324(a,1),9323(a,1,3))]. 9326 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6278,a,9325,a)]. 9327 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(240,a,6263,a(flip),b,9325,a(flip))]. 9329 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9324(a,1,2,2)),flip(a)]. 9330 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7809(a,1),9324(a,1,2))]. 9331 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9324(a,1),6995(a,1,2,2)),flip(a)]. 9332 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9330(a,1,2,2,2))]. 9333 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7917(a,1),9330(a,1,2))]. 9334 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(7394,a,9333,a),flip(a)]. 9336 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(240,a,7925,a,b,9334,a(flip)),flip(a)]. 9337 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7394,a,9332,a),flip(a)]. 9338 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9337(a,1,2,2)),flip(a)]. 9339 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(240,a,8157,a(flip),b,9338,a(flip)),flip(a)]. 9340 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(240,a,8791,a(flip),b,9339,a(flip)),flip(a)]. 9341 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(240,a,8635,a(flip),b,9340,a(flip))]. 9342 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(7307,a,9341,a),flip(a)]. 9343 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(240,a,8576,a(flip),b,9342,a(flip)),flip(a)]. 9344 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9326,a)]. 9345 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4646,a,9226,a),flip(a)]. 9346 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(9181(a,1),9345(a,1,1,2))]. 9347 K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(240,a,8786,a(flip),b,9281,a(flip)),flip(a)]. 9348 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8167(a,1),9287(a,1,2)),flip(a)]. 9349 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(9348(a,1),454(a,1,1,1))]. 9350 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8835(a,1),9293(a,1,1))]. 9351 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7491(a,1),9350(a,2,1))]. 9352 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7487(a,1),9351(a,2,2))]. 9353 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(51(a,1),9347(a,1,2,1))]. 9354 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(240,a,9246,a(flip),b,9353,a),flip(a)]. 9355 K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). [hyper(240,a,8786,a(flip),b,9354,a(flip)),flip(a)]. 9356 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(51(a,1),9355(a,1,2,1)),flip(a)]. 9357 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(240,a,7047,a(flip),b,7194,a(flip))]. 9359 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4800(a,2),9357(a,1,1))]. 9360 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9359(a,2),65(a,1,1))]. 9361 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4959(a,1),9360(a,2,2))]. 9362 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(124(a,1),9361(a,1,1,1))]. 9363 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(8487(a,1),7249(a,1))]. 9364 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5183(a,1),9363(a,1,1,2))]. 9365 L(K(x,x * (y \ z)),y \ z,y) != u | K(x,(y * (x \ 1)) \ z) = u. [para(7358(a,1),9363(a,1,1))]. 9366 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8521(a,1),9363(a,1,1))]. 9368 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3660(a,2),7659(a,1,1))]. 9369 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(240,a,4760,a(flip),b,8551,a)]. 9370 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9369(a,1,1,2,1))]. 9371 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5012,a,8552,a),flip(a)]. 9373 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8640,a,8639,a)]. 9374 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9373(a,1),4800(a,2,2)),flip(a)]. 9375 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(4803,a,9374,a),flip(a)]. 9376 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9374(a,1),4803(a,1))]. 9377 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(240,a,7440,a(flip),b,9375,a(flip))]. 9378 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9377(a,1,2,1,1)),flip(a)]. 9379 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(240,a,7488,a(flip),b,8768,a)]. 9380 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3749(a,1),8916(a,2,2))]. 9381 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(240,a,3755,a(flip),b,9380,a(flip))]. 9382 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2916(a,1),9381(a,1,2,2)),flip(a)]. 9383 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2916(a,1),9382(a,1,1,1)),flip(a)]. 9384 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(9383(a,1),65(a,1,1))]. 9385 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(124(a,1),9384(a,1,1,1,1))]. 9386 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(124(a,1),9385(a,2,2))]. 9387 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9362(a,1),9386(a,1,1))]. 9388 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7599(a,1),9089(a,1,1)),flip(a)]. 9389 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9388(a,1),16(a,1,1))]. 9391 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9389(a,1,1,1,1))]. 9392 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5320,a,9177,a),flip(a)]. 9393 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2704(a,1),9392(a,1,1,1))]. 9394 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(240,a,5515,a(flip),b,9393,a(flip)),flip(a)]. 9395 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(240,a,9327,a(flip),b,9394,a)]. 9396 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(240,a,8978,a(flip),b,9395,a(flip))]. 9397 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7797,a,9396,a),flip(a)]. 9398 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(240,a,6462,a(flip),b,9397,a)]. 9399 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),9398(a,1,1,1)),flip(a)]. 9400 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),9399(a,1,1,1)),flip(a)]. 9401 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3450,a,9400,a)]. 9402 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(7142(a,1),9253(a,1,1))]. 9403 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(5204(a,1),9368(a,2,2))]. 9404 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(9368(a,1),7945(a,2,2))]. 9405 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7532,a,9379,a)]. 9406 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7148(a,1),9402(a,1,1))]. 9407 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(240,a,9087,a(flip),b,9406,a(flip))]. 9408 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9301(a,2),9407(a,1,1))]. 9409 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9408(a,1),4999(a,1))]. 9410 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6917,a,9036,a)]. 9411 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7611(a,1),9410(a,1,3))]. 9412 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6306,a,9411,a)]. 9414 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9412(a,1),1973(a,1,1,2))]. 9415 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(9412(a,1),2424(a,1,1))]. 9417 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(240,a,6630,a(flip),b,9414,a(flip))]. 9420 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9417(a,1),1864(a,1,1))]. 9421 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(7658(a,1),6999(a,1,2,1,2))]. 9422 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(6964(a,2),7002(a,1,2,1))]. 9423 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7668(a,1),7198(a,1,1,2))]. 9424 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6429(a,1),7392(a,1,2)),flip(a)]. 9425 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3062,a,9424,a(flip)),flip(a)]. 9426 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(240,a,6294,a,b,7894,a)]. 9427 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(7981,a,7998,a)]. 9428 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(240,a,7980,a(flip),b,9427,a)]. 9429 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(490(a,2),9428(a,1,2,2))]. 9430 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6271(a,1),8380(a,1,1))]. 9431 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(240,a,9118,a(flip),b,8408,a)]. 9433 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(122(a,1),8494(a,1,1,2,2))]. 9434 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4641(a,2),9433(a,1,1))]. 9435 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(9195,a,9434,a),flip(a)]. 9436 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(9434(a,1),9195(a,1))]. 9437 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9435(a,1,2,1,2)),flip(a)]. 9438 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(2709(a,1),9435(a,1,2,1)),flip(a)]. 9439 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9435(a,1),7098(a,1,1,2))]. 9440 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,8502,a(flip),b,9437,a(flip)),flip(a)]. 9441 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),9440(a,2,2,1))]. 9442 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(130(a,1),9438(a,1,2)),flip(a)]. 9444 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(2708(a,1),9442(a,1,2,1)),flip(a)]. 9445 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(9439(a,1),7112(a,1))]. 9446 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(9445,a,8361,a),flip(a)]. 9448 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(240,a,9431,a(flip),b,9446,a(flip))]. 9449 K((x * (y \ z)) \ (y \ u),y) = K((x * z) \ u,y). [para(14(a,1),9446(a,1,1,1,2)),flip(a)]. 9450 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(64(a,1),9446(a,1,1,1)),flip(a)]. 9451 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9446(a,1),4836(a,2,2,2)),flip(a)]. 9452 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(8054,a,9449,a)]. 9453 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),9452(a,2,1,1))]. 9454 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(240,a,7271,a,b,9453,a(flip)),flip(a)]. 9455 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(240,a,7270,a,b,9453,a(flip)),flip(a)]. 9456 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(240,a,6113,a(flip),b,9450,a)]. 9457 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4896,a,9451,a),flip(a)]. 9459 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(240,a,8539,a,b,9457,a(flip)),flip(a)]. 9460 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9459(a,1),4760(a,1,1,1))]. 9461 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9444(a,1),6012(a,1,2))]. 9462 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6513(a,1),8671(a,1,2,2)),flip(a)]. 9463 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(6964(a,2),8676(a,1,2))]. 9464 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4851(a,1),8712(a,1,1,2))]. 9465 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4828(a,1),9464(a,1,2,2))]. 9466 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7487(a,1),8732(a,1,1))]. 9467 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [hyper(8738,a,8741,a),flip(a)]. 9468 K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. [para(8741(a,1),8738(a,1))]. 9470 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3072(a,1),9023(a,1,1)),flip(a)]. 9471 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(240,a,7749,a,b,9470,a)]. 9472 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5429,a,9471,a)]. 9473 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9472(a,1),4913(a,2,2))]. 9474 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9284(a,1,1,2,1))]. 9475 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9344,a(flip)),flip(a)]. 9476 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8530(a,1),9366(a,1))]. 9477 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(6763(a,1),9426(a,2,1))]. 9478 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(6469(a,1),9477(a,1,2))]. 9479 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9478(a,1),8299(a,1,2)),flip(a)]. 9481 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3954(a,2),9479(a,2,2,1))]. 9482 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(17,a,9479,a(flip),b,9481,a(flip))]. 9483 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5315(a,1),9482(a,1,1,1))]. 9484 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),9456(a,2,2))]. 9485 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7250,a,9463,a),flip(a)]. 9486 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5657(a,1),9466(a,1,2))]. 9487 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5193,a,9486,a)]. 9488 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7451(a,1),9487(a,1,1))]. 9489 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7962(a,1),9488(a,1,1))]. 9490 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(8760,a,9489,a)]. 9491 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7902(a,1),9483(a,2,1,2))]. 9492 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(7178(a,1),7196(a,2,2))]. 9493 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(240,a,5459,a(flip),b,7989,a)]. 9494 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(240,a,5461,a(flip),b,7990,a)]. 9495 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4872(a,1),9494(a,1,1)),flip(a)]. 9496 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7568(a,1),8156(a,1,1,3))]. 9497 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5183(a,1),9496(a,2,2))]. 9498 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(5460,a,8231,a),flip(a)]. 9499 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7545,a,8721,a)]. 9500 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9081,a,9286,a),flip(a)]. 9501 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),9500(a,2,2,1))]. 9502 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(62(a,1),9500(a,1,2,1,2)),flip(a)]. 9503 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(7377,a,9501,a),flip(a)]. 9504 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),9503(a,1,2)),flip(a)]. 9505 K(x,y * K(z \ x,z)) = K(x,y). [hyper(240,a,7225,a(flip),b,9504,a(flip)),flip(a)]. 9506 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),9504(a,1,2,1,1))]. 9507 K(x,K(y,y \ x) * z) = K(x,z). [para(5178(a,1),9504(a,1,2)),flip(a)]. 9508 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5354(a,1),9504(a,1,2)),flip(a)]. 9510 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(7102(a,1),9505(a,1,2)),flip(a)]. 9511 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9507(a,1),4774(a,1,1))]. 9512 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9506(a,1),4777(a,1,1,2))]. 9513 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(315(a,1),9502(a,1,2,1)),flip(a)]. 9514 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(7179(a,1),9513(a,1,2,1))]. 9515 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(240,a,8557,a,b,9514,a(flip)),flip(a)]. 9516 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4766(a,1),9514(a,1,2,1)),flip(a)]. 9518 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(240,a,6681,a(flip),b,9515,a(flip)),flip(a)]. 9519 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4818(a,1),9518(a,1,2,2))]. 9520 K(x * y,z \ (y * x)) = K(x * y,z \ (x * y)). [para(15(a,1),9519(a,1,2,2,2))]. 9521 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(62(a,1),9519(a,1,2,2,2))]. 9522 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9521(a,1),6693(a,1))]. 9523 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9512(a,1),5923(a,1,2)),flip(a)]. 9524 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5424,a,9511,a)]. 9525 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3959,a,9524,a)]. 9526 T(x,(x / y) * z) = T(x,(y \ x) * z). [para(5372(a,1),9525(a,1,2))]. 9527 T(x,(x / y) \ z) = T(x,(y \ x) \ z). [para(5530(a,1),9525(a,1,2)),flip(a)]. 9528 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5460,a,9153,a),flip(a)]. 9530 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5460,a,9168,a),flip(a)]. 9531 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(108(a,2),9530(a,1,1))]. 9532 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9530(a,1),8767(a,1,2))]. 9533 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1163(a,1),9225(a,1,2,1))]. 9534 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(240,a,5183,a(flip),b,9257,a)]. 9535 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(240,a,237,a(flip),b,9275,a)]. 9536 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(240,a,4794,a,b,9535,a)]. 9538 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(240,a,7487,a,b,9536,a)]. 9539 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9391(a,2,2,1,1))]. 9540 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [hyper(75,a,9539,a(flip),b,175,a)]. 9541 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9539(a,1),299(a,1,1)),flip(b)]. 9543 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9523(a,2),9540(a,1,1))]. 9544 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(9499(a,1),7545(a,1))]. 9545 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(616(a,1),9533(a,1,2,2))]. 9546 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(7142(a,1),9534(a,1,1,1))]. 9547 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9543(a,1),483(a,1))]. 9548 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(7142(a,1),9546(a,1,1,1))]. 9549 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(9256(a,1),9548(a,1,1))]. 9550 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(20,a,9549,a)]. 9551 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(240,a,5815,a(flip),b,9550,a(flip))]. 9552 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(9551(a,2),16(a,1,1))]. 9553 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(9551(a,2),9541(a,1))]. 9554 T(x,y) * (K(z,x) * u) = K(z,x) * (T(x,y) * u). [para(981(a,1),9552(a,1,1,2)),flip(a)]. 9555 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(1166(a,1),9552(a,1,1,2)),flip(a)]. 9556 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [para(9552(a,1),5184(a,1,2)),flip(a)]. 9557 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(9552(a,1),6824(a,1,2))]. 9558 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(9552(a,1),9000(a,1,2))]. 9559 K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). [para(5078(a,1),9557(a,1,2,2))]. 9560 K(x,y * (z * K(u,x))) = K(x,y * z). [para(7641(a,1),9557(a,1,2,2)),flip(a)]. 9561 K(x,y * (z / T(u,x))) = K(x,y * (z / u)). [para(8132(a,1),9557(a,1,2,2))]. 9562 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(264(a,1),9560(a,1,2,2))]. 9563 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8132(a,1),9558(a,1,2,2))]. 9564 (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,L(w,u,K(x,y))). [para(9554(a,1),440(a,1,1))]. 9565 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6146(a,1),9563(a,1,2,2)),flip(a)]. 9566 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(5786,a,9555,a)]. 9567 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(5178(a,1),9555(a,1,2)),flip(a)]. 9568 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9165(a,1),9555(a,2,2))]. 9569 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(9566(a,1),8253(a,1,1,2)),flip(a)]. 9570 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(9569(a,2),7112(a,1))]. 9571 K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. [para(6445(a,1),9570(a,1))]. 9572 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5191,a,9567,a),flip(a)]. 9573 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7600(a,1),9567(a,1,1))]. 9574 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(73,a,56,a(flip),b,9572,a),flip(a)]. 9575 (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(73,a,9574,a,b,1575,a)]. 9577 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(240,a,9550,a(flip),b,9556,a(flip)),flip(a)]. 9578 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(9577(a,2),16(a,1,1))]. 9580 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(9578(a,1),8508(a,1,2,2)),flip(a)]. 9581 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(9578(a,1),8662(a,1,2,2,1)),flip(a)]. 9582 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(9578(a,1),8894(a,1,2)),flip(a)]. 9583 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(442(a,1),9580(a,1,2))]. 9584 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4869(a,1),9580(a,1,2,2,2)),flip(a)]. 9585 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(240,a,7405,a(flip),b,9584,a(flip))]. 9586 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5078(a,1),9568(a,1,2)),flip(a)]. 9587 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(9553,a,8654,a),flip(a)]. 9588 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),9587(a,1,2,2,2)),flip(a)]. 9589 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),9588(a,2,2))]. 9591 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9547,a,9589,a)]. 9592 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(9591(a,1),470(a,1,1))]. 9593 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(240,a,6467,a(flip),b,9592,a(flip))]. 9594 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4872(a,1),9593(a,2,1))]. 9595 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(240,a,9523,a(flip),b,9594,a(flip)),flip(a)]. 9596 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(73,a,9594,a(flip),b,9523,a(flip))]. 9598 L(x,K(y,z),z * y) = x. [hyper(766,a,9595,a)]. 9599 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(541,a,9595,a)]. 9600 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(73,a,4800,a,b,9595,a)]. 9602 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(73,a,5929,a(flip),b,9595,a)]. 9603 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(73,a,14,a(flip),b,9595,a),flip(a)]. 9605 L(x,K(y \ z,y),z) = x. [para(14(a,1),9598(a,1,3))]. 9606 L(x,K(y,y \ z),z) = x. [para(4995(a,1),9605(a,1,2))]. 9607 L(x,K(y \ 1,z),y \ z) = x. [para(5493(a,1),9605(a,1,2))]. 9608 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(240,a,5891,a(flip),b,9606,a(flip)),flip(a)]. 9610 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. [para(14(a,1),9603(a,1,2,1))]. 9611 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(9603(a,1),4779(a,1,2)),flip(a)]. 9612 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(9603(a,1),7923(a,1,1,2))]. 9613 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(9603(a,1),9000(a,1,2)),flip(a)]. 9614 K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). [para(9603(a,1),9557(a,1,2,2))]. 9615 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(73,a,1188,a(flip),b,9599,a),flip(a)]. 9616 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(240,a,2160,a,b,9602,a)]. 9617 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(240,a,3951,a(flip),b,9602,a(flip))]. 9618 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(40(a,2),9602(a,1,2,2))]. 9619 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9602(a,2),2161(a,1))]. 9620 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(240,a,5444,a,b,9617,a(flip)),flip(a)]. 9621 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(9617(a,1),7045(a,1,1))]. 9622 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9617(a,1),7098(a,1,1))]. 9623 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9620(a,1,2,2)),flip(a)]. 9624 x \ R(x,T(y,x),x) = a(x,y,x). [para(177(a,1),9623(a,1,2)),flip(a)]. 9625 x \ R(x,y,x) = a(x,y,x). [para(4250(a,1),9624(a,1,2))]. 9626 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5445,a,9625,a)]. 9627 R(x,y,x) / x = a(x,y,x). [hyper(3656,a,9625,a)]. 9628 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(240,a,7088,a,b,9625,a(flip)),flip(a)]. 9629 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(240,a,8756,a(flip),b,9625,a(flip))]. 9630 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(240,a,5444,a(flip),b,9625,a(flip)),flip(a)]. 9631 x * a(x,y,x) = R(x,y,x). [para(9625(a,1),14(a,1,2))]. 9633 a(x,y,x) * x = R(x,y,x). [para(9625(a,1),3655(a,1,1))]. 9634 T(x * y,x) / x = y * a(x,y,x). [para(9625(a,1),8198(a,1,2)),flip(a)]. 9635 a(x,y,x) \ R(x,y,x) = x. [para(9627(a,1),65(a,1,1))]. 9637 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9631(a,1),241(a,1,2)),flip(b)]. 9638 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7110,a,9626,a)]. 9639 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5191,a,9626,a)]. 9640 K(x,x * y) * a(x,y,x) = K(x,y). [para(9626(a,1),5189(a,1,2))]. 9641 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9626(a,1),7112(a,1,1))]. 9642 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(240,a,1754,a,b,9634,a(flip)),flip(a)]. 9643 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9634(a,1,1,1)),flip(a)]. 9644 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9634(a,1),124(a,1,1))]. 9645 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9634(a,2),188(a,1,2,2))]. 9646 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9634(a,2),441(a,1,2,2))]. 9647 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(9634(a,2),772(a,1,2,2,2))]. 9648 (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. [para(9102(a,1),9634(a,1,1)),flip(a)]. 9649 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5425(a,2),9637(a,1))]. 9650 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(240,a,6469,a,b,9639,a)]. 9651 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),9640(a,1,1,2))]. 9652 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9628(a,1),3655(a,1,1))]. 9653 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9629(a,2),9637(a,1))]. 9654 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(6906(a,1),9652(a,1,2)),flip(a)]. 9656 a(x,x \ 1,x) = K(x,x \ 1). [hyper(161,a,9651,a)]. 9657 a(x,y,T(x,z)) = a(x,y,x). [hyper(9653,a,9085,a),flip(a)]. 9658 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9085(a,1),9653(a,1))]. 9659 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9657(a,1),8429(a,1))]. 9661 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(14(a,1),9608(a,1,2)),flip(a)]. 9662 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u). [para(6089(a,2),9610(a,2,1,1)),flip(a)]. 9663 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(240,a,8464,a(flip),b,9616,a)]. 9664 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(240,a,8457,a(flip),b,9616,a)]. 9665 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K((y / z) \ x,y / z),x \ y). [hyper(401,a,459,a,b,9661,a),flip(a)]. 9666 (x \ y) \ ((z * (x / z)) \ y) = K(z \ x,T(z,x \ y)). [hyper(73,a,9661,a(flip),b,6988,a)]. 9667 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(9661(a,1),9599(a,1,2)),flip(a)]. 9668 K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). [para(14(a,1),9612(a,1,1,2,1)),flip(a)]. 9669 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(240,a,9441,a(flip),b,9613,a)]. 9670 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(240,a,7379,a(flip),b,9669,a(flip)),flip(a)]. 9671 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9670(a,1),9103(a,1,1))]. 9672 (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. [para(9666(a,2),8559(a,1))]. 9673 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9634(a,1),9642(a,1,1)),flip(a)]. 9674 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9654(a,2),20(a,1))]. 9675 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(240,a,6873,a,b,9615,a(flip)),flip(a)]. 9676 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1391(a,1),9645(a,1,2,2))]. 9677 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(240,a,6871,a(flip),b,9675,a(flip)),flip(a)]. 9678 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(122(a,1),9676(a,1,2)),flip(a)]. 9679 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8342(a,1),7439(a,1,1)),flip(a)]. 9680 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(240,a,7220,a(flip),b,9679,a)]. 9681 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(4128(a,1),9680(a,1,1)),flip(a)]. 9682 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9273,a,9681,a)]. 9683 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(77,a,8261,a),flip(a)]. 9684 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4429(a,1),9683(a,1,1)),flip(a)]. 9685 (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(5808,a,9684,a)]. 9686 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(240,a,8290,a(flip),b,8688,a)]. 9687 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(589(a,1),9686(a,1,2,1,1)),flip(a)]. 9688 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4734(a,1),9687(a,1,2,1)),flip(a)]. 9689 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(6964(a,2),9688(a,2,2))]. 9690 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9689(a,2),8224(a,1))]. 9691 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(193(a,1),8736(a,2,1))]. 9692 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(240,a,8702,a(flip),b,9691,a(flip))]. 9693 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5644(a,1),8837(a,1,1,2))]. 9694 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4548,a,9693,a)]. 9695 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6650(a,1),9694(a,2,1))]. 9696 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6669,a,9695,a),flip(a)]. 9697 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(240,a,191,a(flip),b,9696,a)]. 9698 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(240,a,4492,a(flip),b,8912,a(flip)),flip(a)]. 9699 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(240,a,8911,a(flip),b,9698,a(flip))]. 9700 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,8397,a(flip),b,8983,a)]. 9701 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),9700(a,1,1,2,1,2,1))]. 9702 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,8674,a(flip),b,9701,a(flip)),flip(a)]. 9704 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(240,a,7892,a(flip),b,9702,a(flip)),flip(a)]. 9705 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(240,a,9059,a(flip),b,9060,a(flip))]. 9706 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(240,a,9475,a(flip),b,9705,a(flip))]. 9707 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(240,a,7609,a(flip),b,9706,a)]. 9708 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(7796,a,9707,a)]. 9709 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [hyper(240,a,6990,a(flip),b,9331,a)]. 9710 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9105(a,1),9709(a,1,1)),flip(a)]. 9711 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5182(a,1),9710(a,1,2)),flip(a)]. 9713 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(240,a,8585,a(flip),b,9711,a(flip)),flip(a)]. 9714 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7578,a,9713,a)]. 9715 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(240,a,7519,a,b,9714,a),flip(a)]. 9716 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(17,a,7454,a,b,9715,a),flip(a)]. 9717 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(240,a,7487,a,b,9716,a)]. 9718 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7600(a,1),9573(a,1,2,2,1))]. 9720 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1738(a,1),9663(a,1,2))]. 9721 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(669,a,9720,a),flip(a)]. 9722 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(9720(a,1),669(a,1))]. 9723 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(8769,a,9721,a)]. 9724 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(9721(a,1),14(a,1,2))]. 9725 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(9721(a,1),3669(a,1,1)),flip(a)]. 9726 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(9721(a,1),8735(a,1,2)),flip(a)]. 9727 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(9096(a,2),9721(a,1,2))]. 9728 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(4266(a,1),9725(a,2,1))]. 9729 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(9723(a,1),7045(a,1,1))]. 9730 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(7815(a,1),9723(a,1,1))]. 9731 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(9723(a,1),8283(a,1,1)),flip(a)]. 9732 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),9729(a,1,2,2))]. 9733 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5154,a,9726,a)]. 9734 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(240,a,970,a(flip),b,9733,a(flip)),flip(a)]. 9735 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(9733(a,1),14(a,1,2))]. 9736 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1623(a,1),9664(a,1,2))]. 9737 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(9664(a,1),9619(a,1))]. 9738 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(669,a,9736,a),flip(a)]. 9740 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(9737,a,9738,a)]. 9741 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(9722,a,9727,a)]. 9742 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(240,a,4344,a(flip),b,9741,a(flip))]. 9743 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4267,a,9742,a)]. 9744 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(9096(a,1),9728(a,1,1))]. 9745 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(9743(a,1),9744(a,2,1))]. 9746 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(240,a,9725,a(flip),b,9745,a(flip)),flip(a)]. 9747 (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(7142(a,1),7683(a,2,1,2))]. 9748 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5182(a,1),7882(a,1,2)),flip(a)]. 9749 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(240,a,4131,a(flip),b,9748,a)]. 9750 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8568(a,1),5012(a,1))]. 9751 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),8684(a,1,1,2))]. 9752 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(6964(a,2),9005(a,2,2,1))]. 9753 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(9264,a,9401,a)]. 9754 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3324(a,2),9753(a,1,1,2))]. 9755 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(240,a,9261,a(flip),b,9754,a(flip)),flip(a)]. 9757 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(240,a,9263,a(flip),b,9755,a(flip)),flip(a)]. 9759 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9343(a,2),7807(a,1))]. 9760 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9460(a,1),5012(a,1))]. 9761 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6839(a,1),9730(a,1,2)),flip(a)]. 9762 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(240,a,9723,a(flip),b,9761,a)]. 9764 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(124(a,1),9762(a,1,2)),flip(a)]. 9765 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(341(a,1),9762(a,1,2,2))]. 9766 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(9764(a,1),9732(a,1,1))]. 9767 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(240,a,6841,a(flip),b,9766,a)]. 9768 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(7560(a,1),9751(a,1,2))]. 9769 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9490(a,1),9752(a,2,2))]. 9770 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(240,a,122,a(flip),b,9769,a)]. 9771 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(6964(a,2),9770(a,1,1,2))]. 9772 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(8861(a,1),9771(a,1,1))]. 9773 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(9772(a,1),5865(a,1,2))]. 9775 R(K(x,y),y \ 1,z) = K(x,y). [hyper(240,a,6441,a(flip),b,9773,a(flip)),flip(a)]. 9777 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7822(a,1),9768(a,1,2))]. 9778 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(9777(a,1),5313(a,1,1,2))]. 9780 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5311(a,1),9778(a,1,1))]. 9781 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(240,a,6535,a(flip),b,9780,a(flip))]. 9782 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(9781(a,1),8465(a,2,1))]. 9783 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(240,a,7430,a(flip),b,7155,a)]. 9784 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7302,a,9783,a)]. 9789 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3654(a,1),8102(a,1,1))]. 9790 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(7581(a,1),8146(a,2,1))]. 9791 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(8129(a,2),9790(a,2,2))]. 9792 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(240,a,6152,a,b,9791,a(flip)),flip(a)]. 9793 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(5619,a,9792,a)]. 9795 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(152(a,1),8164(a,1,1))]. 9797 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7094(a,1),9795(a,1,2))]. 9798 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6563(a,1),9797(a,1,2)),flip(a)]. 9799 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(240,a,11,a(flip),b,9798,a)]. 9800 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5191,a,9799,a)]. 9801 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(4306(a,1),9800(a,1,2,2))]. 9802 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(8719(a,1),9800(a,1,1))]. 9803 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(240,a,8215,a(flip),b,8659,a(flip))]. 9805 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),9803(a,1,2))]. 9806 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(240,a,7396,a,b,9805,a(flip)),flip(a)]. 9807 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(9806(a,1),4800(a,2,2)),flip(a)]. 9808 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4803,a,9807,a),flip(a)]. 9809 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5078(a,1),9808(a,1,2,1)),flip(a)]. 9810 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(8089,a,8690,a)]. 9811 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(240,a,8344,a(flip),b,9810,a(flip)),flip(a)]. 9812 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(240,a,8691,a(flip),b,9811,a(flip))]. 9813 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(240,a,8246,a(flip),b,9812,a)]. 9814 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5501(a,1),9813(a,1,1))]. 9815 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3197(a,1),9814(a,1,1))]. 9816 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(240,a,8681,a(flip),b,9815,a)]. 9817 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(8682,a,9816,a)]. 9818 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(240,a,8848,a(flip),b,9055,a)]. 9819 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(121(a,1),9818(a,1,2,1,1,1)),flip(a)]. 9820 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(240,a,8219,a(flip),b,9308,a(flip))]. 9822 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),9820(a,1,1))]. 9823 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(240,a,8103,a,b,9822,a(flip)),flip(a)]. 9824 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(240,a,8832,a,b,9823,a(flip)),flip(a)]. 9825 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(240,a,9582,a(flip),b,9824,a(flip)),flip(a)]. 9827 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(240,a,8829,a(flip),b,9825,a(flip))]. 9828 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(9825(a,2),8896(a,1))]. 9829 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(9827(a,1),4836(a,2,2,2))]. 9830 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6459(a,1),9828(a,1))]. 9831 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [hyper(240,a,4836,a,b,9829,a)]. 9832 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(240,a,9809,a(flip),b,9831,a(flip)),flip(a)]. 9833 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(9146,a,9832,a)]. 9835 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6170,a,9484,a)]. 9836 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),9835(a,1,2))]. 9837 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(9189,a,9836,a)]. 9838 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4813(a,1),9789(a,2,1))]. 9839 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9625(a,1),9838(a,1,1))]. 9840 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(240,a,7446,a,b,9839,a),flip(a)]. 9841 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9674,a,9840,a)]. 9842 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(7388(a,1),9801(a,1,1))]. 9843 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4753(a,2),9842(a,1,2))]. 9845 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6498(a,1),9843(a,1,1))]. 9846 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(240,a,7088,a(flip),b,9845,a)]. 9847 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2161,a,9846,a)]. 9849 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(240,a,4387,a(flip),b,7127,a(flip)),flip(a)]. 9851 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3039(a,1),7986(a,1,2,1)),flip(a)]. 9852 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3039(a,1),9851(a,1,2)),flip(a)]. 9854 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(9852(a,1),611(a,1,1,1)),flip(a)]. 9856 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(240,a,9285,a(flip),b,8199,a)]. 9858 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9625(a,1),9856(a,1,3))]. 9859 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(9858(a,1),393(a,1,1)),flip(a)]. 9860 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(9859(a,1),9644(a,1,1))]. 9861 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(9860(a,1),1922(a,1,1)),flip(a)]. 9862 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8809(a,1),8335(a,1,2))]. 9863 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7491(a,1),9862(a,1,2))]. 9865 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8041(a,1),9863(a,2,1))]. 9866 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(240,a,9731,a(flip),b,9865,a(flip)),flip(a)]. 9867 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(7573(a,1),8751(a,1,2))]. 9868 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(240,a,8440,a(flip),b,9867,a)]. 9870 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),8779(a,1,2,1))]. 9872 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),9870(a,1,2))]. 9873 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8197,a,9872,a)]. 9874 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(240,a,7357,a(flip),b,9873,a)]. 9876 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),9874(a,2,2,2))]. 9877 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(240,a,6626,a(flip),b,9876,a(flip))]. 9878 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(4171(a,1),9876(a,1,1,2))]. 9879 K(x,L(y,z,K(u,x))) = K(x,y). [para(7059(a,1),9876(a,1,1)),flip(a)]. 9880 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),9879(a,1,2))]. 9881 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(9879(a,1),6661(a,1,2))]. 9882 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(240,a,6297,a(flip),b,9877,a(flip)),flip(a)]. 9884 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(37,a,9882,a)]. 9885 K(x,a(y,z \ 1,z) \ 1) = 1. [para(4701(a,1),9882(a,1,2,1))]. 9886 T(x,R(y,z,z \ 1) \ y) = x. [hyper(6166,a,9884,a)]. 9887 T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. [para(9885(a,1),4849(a,1,1,2))]. 9888 x / (R(y,z,z \ 1) \ y) = (R(y,z,z \ 1) \ y) \ x. [hyper(7325,a,9886,a),flip(a)]. 9889 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(240,a,9583,a(flip),b,9880,a(flip)),flip(a)]. 9890 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(240,a,9485,a,b,9881,a(flip)),flip(a)]. 9891 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(9881(a,1),7567(a,1,1))]. 9892 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(7090(a,1),9891(a,1,1,2)),flip(a)]. 9893 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(240,a,8381,a(flip),b,9892,a(flip))]. 9894 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(5887,a,9893,a),flip(a)]. 9895 K(x,y) * T(z,K(y,u / T(y,w))) = T(K(x,y) * z,K(y,y * u)). [hyper(240,a,7932,a(flip),b,9893,a(flip))]. 9896 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(240,a,7856,a(flip),b,9894,a)]. 9897 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(9896(a,2),19(a,1))]. 9898 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(9896(a,1),4838(a,1,1))]. 9899 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(9896(a,1),4926(a,1,1))]. 9900 K(x,y) * T(z,K(y,u / T(y,w))) = y * T(y \ (K(x,y) * z),K(y,u)). [hyper(240,a,8137,a,b,9895,a)]. 9902 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(240,a,8569,a(flip),b,9889,a(flip))]. 9904 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),9902(a,2,2))]. 9905 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5178(a,1),9904(a,1,2,2)),flip(a)]. 9906 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5183(a,2),9904(a,1,2,2))]. 9907 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(9905(a,1),5170(a,1,2,2)),flip(a)]. 9908 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(240,a,5170,a(flip),b,9907,a)]. 9909 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4769(a,1),9908(a,1,1,2)),flip(a)]. 9910 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(6997(a,2),9890(a,2,2))]. 9911 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(6490(a,2),9900(a,2,2,1))]. 9912 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(7916,a,9910,a),flip(a)]. 9913 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5178(a,1),9912(a,1,2,2))]. 9914 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7726(a,1),9913(a,1,2))]. 9915 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(6955,a,9878,a)]. 9917 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(240,a,9909,a(flip),b,9915,a(flip))]. 9918 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(7302,a,9137,a),flip(a)]. 9919 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(240,a,8353,a(flip),b,9198,a)]. 9920 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(122(a,1),9229(a,1,2))]. 9921 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9409,a,9920,a)]. 9922 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9436,a,9921,a)]. 9923 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),9922(a,1,2,1)),flip(a)]. 9924 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(240,a,8573,a(flip),b,9923,a)]. 9925 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(176(a,1),9924(a,1,2)),flip(a)]. 9926 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(9924(a,1),9230(a,1,2))]. 9927 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(240,a,7121,a(flip),b,9926,a(flip))]. 9928 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(231,a,9927,a)]. 9929 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(75,a,9927,a(flip),b,122,a(flip))]. 9930 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(75,a,16,a(flip),b,9928,a),flip(a)]. 9932 (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,y). [para(9928(a,1),24(a,2,1)),flip(a)]. 9934 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7487(a,1),9929(a,2,2))]. 9935 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),9930(a,1,1,2))]. 9936 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),9930(a,1,1,2))]. 9937 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(9930(a,1),7733(a,1,2))]. 9939 (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). [para(5034(a,1),9935(a,2,2))]. 9940 (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). [para(9935(a,1),7119(a,1,1))]. 9941 K(x,y / ((x \ z) * x)) != u | K(x,y / z) = u. [para(9935(a,1),7733(a,1,2))]. 9942 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(9935(a,1),9560(a,1,2,2))]. 9943 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(240,a,8870,a,b,9936,a(flip)),flip(a)]. 9945 (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). [para(13(a,1),9940(a,1,1,2,1))]. 9946 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(9943(a,1),65(a,1,1)),flip(a)]. 9947 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(9946(a,2),2885(a,2,1))]. 9948 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [para(13(a,1),9945(a,1,2)),flip(a)]. 9949 x / ((y / z) * K(z \ 1,y)) = (x / (y / z)) * K(y,z \ 1). [para(6119(a,1),9939(a,1,2)),flip(a)]. 9951 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(240,a,3455,a(flip),b,9231,a)]. 9952 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(626(a,1),9951(a,1,2))]. 9953 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6220,a,9952,a),flip(a)]. 9954 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(240,a,9027,a(flip),b,9953,a)]. 9955 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(6432(a,1),9404(a,1,2))]. 9956 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(240,a,8719,a(flip),b,9955,a(flip)),flip(a)]. 9957 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(122(a,1),9697(a,1,1))]. 9958 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(9777(a,1),9782(a,1,2,1))]. 9959 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(5078(a,1),9958(a,1,2))]. 9961 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(6964(a,2),9802(a,1,2,2,1))]. 9962 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),9911(a,2,2))]. 9963 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(240,a,9329,a(flip),b,9918,a)]. 9965 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(240,a,7606,a(flip),b,9963,a)]. 9966 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(5183(a,1),9961(a,1,2))]. 9967 T(x,K(y,z / T(y,u))) = T(y,w) * T(T(y,w) \ x,K(y,z)). [hyper(4834,a,9962,a),flip(a)]. 9968 T(x,y) \ T(z,K(x,x * u)) = T(T(x,y) \ z,K(x,u)). [hyper(73,a,7932,a(flip),b,9967,a(flip))]. 9969 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [para(7832(a,1),9968(a,1,2))]. 9970 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(6939(a,1),9969(a,1,1)),flip(a)]. 9971 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(9966(a,1),20(a,1)),flip(a)]. 9972 K(x,y \ 1) * T((x \ (y \ x)) * z,K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(8019(a,1),9233(a,1,2))]. 9973 T(K(x,y \ 1) * ((x \ (y \ x)) * z),K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [hyper(240,a,8833,a,b,9972,a(flip)),flip(a)]. 9974 ((x \ y) / y) * T(z,K(x \ y,y)) = T(((x \ y) / y) * z,K(y,x)). [para(5556(a,1),9973(a,1,1)),flip(a)]. 9975 T(((x \ y) / y) * z,K(y,x)) = ((x \ y) / y) * T(z,K(y,x)). [para(8019(a,1),9974(a,1,2)),flip(a)]. 9976 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(x,x / y)). [para(65(a,1),9975(a,2,1,1))]. 9977 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(y,x)). [para(8023(a,1),9976(a,2,2))]. 9978 T((x / y) * z,K(y,y / x)) = (x / y) * T(z,K(x,y)). [para(65(a,1),9977(a,1,1,1,1))]. 9979 (x / y) * T(z,K(x,y)) != u | T((x / y) * z,K(x,y)) = u. [para(9978(a,1),8083(a,1))]. 9980 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(240,a,8737,a(flip),b,9309,a)]. 9981 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(7661(a,1),9980(a,1,2,1,2,1))]. 9982 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(240,a,9784,a(flip),b,9981,a(flip))]. 9984 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(14(a,1),9461(a,1,2,2,1))]. 9985 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [hyper(6026,a,9984,a),flip(a)]. 9987 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(9985(a,1),9510(a,1,2))]. 9988 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(123(a,1),9987(a,1,2,2))]. 9989 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(6174,a,9988,a),flip(a)]. 9990 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9366,a,9671,a),flip(a)]. 9991 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5427,a,9990,a)]. 9992 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9476,a,9991,a)]. 9993 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(399(a,1),9992(a,1,2,1,2))]. 9994 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,9440,a(flip),b,9993,a)]. 9995 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9994(a,1,2,2))]. 9996 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8211,a,9995,a)]. 9997 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,9993,a(flip),b,9996,a(flip)),flip(a)]. 9998 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(240,a,8527,a,b,9997,a(flip)),flip(a)]. 9999 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,8502,a,b,9997,a(flip)),flip(a)]. 10000 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),9997(a,2,2,1))]. 10001 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4811(a,1),9997(a,1,2,1)),flip(a)]. 10002 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(9997(a,1),8565(a,1,1))]. 10004 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5218(a,2),10001(a,1,2,1,1))]. 10005 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(240,a,5522,a,b,10004,a(flip)),flip(a)]. 10006 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(240,a,9998,a(flip),b,10002,a(flip))]. 10007 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(240,a,9585,a(flip),b,10006,a(flip)),flip(a)]. 10008 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(240,a,7404,a,b,10007,a(flip))]. 10009 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(240,a,8822,a(flip),b,10008,a)]. 10010 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10009(a,1,2,1)),flip(a)]. 10011 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(240,a,7024,a(flip),b,10010,a(flip))]. 10012 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(240,a,6111,a(flip),b,10011,a)]. 10013 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5024,a,10012,a),flip(a)]. 10014 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(240,a,8526,a(flip),b,10012,a(flip))]. 10015 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10012(a,1),5024(a,1))]. 10016 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10013(a,1),7098(a,1,1,2))]. 10017 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8708,a,10014,a)]. 10018 K(x,(x \ 1) * y) = K(x,x \ y). [para(51(a,1),10014(a,1,2))]. 10019 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(3323(a,2),10018(a,1,2,1)),flip(a)]. 10020 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(10018(a,2),9387(a,1,1,2))]. 10021 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10017(a,1,3))]. 10022 a(x,y,K(z,z \ y)) = 1. [hyper(34,a,10021,a)]. 10023 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(240,a,6672,a(flip),b,10021,a(flip))]. 10024 a(x,y,K(z \ y,z)) = 1. [para(5771(a,1),10022(a,1,3))]. 10025 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10024,a)]. 10026 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(9188,a,10025,a)]. 10027 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6380,a,10025,a)]. 10029 K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). [hyper(240,a,6263,a(flip),b,10025,a(flip))]. 10031 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10026(a,1,1,2,2))]. 10032 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10026(a,1),9193(a,1,2))]. 10033 K(x \ ((y / x) \ z),x) = K(y \ z,x). [para(16(a,1),10027(a,1,1,1)),flip(a)]. 10034 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(240,a,9150,a(flip),b,10031,a(flip))]. 10035 K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). [para(5557(a,1),10033(a,1,1))]. 10036 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(1314(a,1),10034(a,1,1,2,1))]. 10037 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(4475(a,1),10034(a,1,1,2,1))]. 10038 T(x,x \ ((x \ y) \ z)) = 1 / (x \ K(y \ z,x)). [para(10034(a,1),4836(a,2,2,2))]. 10039 R(x,y,K(z \ y,z)) = x. [hyper(779,a,10032,a)]. 10040 (x * K(y \ z,y)) / ((y \ z) * y) = x / z. [hyper(558,a,10032,a)]. 10043 R(x,y * z,K(z,y)) = x. [para(13(a,1),10039(a,1,3,1))]. 10044 R(x,y,T(z,y)) = R(x,y,z). [hyper(6409,a,10043,a)]. 10045 (x * (y * z)) * K(z,y) = x * (z * y). [para(10043(a,1),481(a,1,1)),flip(a)]. 10047 R(x,y,z / y) = R(x,y,y \ z). [para(124(a,1),10044(a,1,3)),flip(a)]. 10048 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10044(a,1),470(a,1,1))]. 10049 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(6964(a,2),10044(a,1,3))]. 10050 R(1 / x,x,y / x) = (x \ y) / y. [hyper(240,a,362,a(flip),b,10047,a)]. 10051 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(496,a,10050,a)]. 10052 K(x,T(y,z * (y * x))) * (z * (y * x)) = z * (x * y). [hyper(7614,a,10045,a)]. 10053 K(x,L(y,x,z)) = K(x,y). [hyper(7251,a,10045,a)]. 10054 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(307,a,10045,a),flip(a)]. 10055 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(10045(a,1),241(a,1,2)),flip(b)]. 10057 K(L(x,y,z),y) = K(x,y). [hyper(8612,a,10053,a)]. 10058 L(K(x,y),z,y * x) = K(x,y). [hyper(240,a,9925,a(flip),b,10053,a(flip)),flip(a)]. 10059 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(240,a,8533,a(flip),b,10053,a(flip)),flip(a)]. 10060 T(x,L(y,x,z)) = x * K(x,y). [para(10053(a,1),4800(a,2,2))]. 10062 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10053(a,1),8726(a,1,1))]. 10065 K(L(x,y,z),y) = y / T(y,x). [hyper(240,a,4750,a(flip),b,10057,a)]. 10066 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(465(a,1),10057(a,1,1))]. 10068 K(x,R(y,x,z)) = K(x,y). [hyper(240,a,9589,a(flip),b,10058,a(flip)),flip(a)]. 10069 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10058(a,1),9539(a,1,1))]. 10070 K(R(x,y,z),y) = K(x,y). [hyper(9830,a,10068,a)]. 10072 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(240,a,8950,a,b,10068,a(flip)),flip(a)]. 10073 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10068(a,1,2))]. 10074 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(575(a,1),10068(a,1,2)),flip(a)]. 10075 T(x,R(y,x,z)) = x * K(x,y). [para(10068(a,1),4800(a,2,2))]. 10077 K(x / (1 / y),1 / y) = K(x * y,1 / y). [para(575(a,1),10070(a,1,1)),flip(a)]. 10078 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(10070(a,1),5135(a,1,1))]. 10079 T(x,L(y,x,z)) = T(x,y). [hyper(240,a,4800,a,b,10060,a)]. 10082 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(240,a,7448,a(flip),b,10079,a(flip)),flip(a)]. 10083 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10079(a,1),122(a,1,2))]. 10085 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(454(a,1),10079(a,1,2)),flip(a)]. 10086 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(465(a,1),10079(a,1,2))]. 10087 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10079(a,1),9465(a,1,1,2)),flip(a)]. 10088 K(L(x,y,z),y) != u | K(x,y) = u. [para(10065(a,2),4833(a,1))]. 10089 T(x,R(y,x,z)) = T(x,y). [hyper(240,a,4800,a,b,10075,a)]. 10097 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(499(a,1),10089(a,1,2))]. 10098 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8599(a,1),10088(a,1))]. 10099 K(x,L(L(y,x,z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(45(a,1),10098(a,1,2))]. 10101 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(9925(a,1),10098(a,1))]. 10102 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(10051(a,1),8657(a,1,2,1)),flip(a)]. 10104 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(57(a,1),10059(a,1,2,2)),flip(a)]. 10105 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10059(a,1),8269(a,1,2))]. 10107 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [para(14(a,1),10082(a,1,2,2,2))]. 10108 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10083(a,1),1305(a,1,2,2))]. 10109 K(x,R(y,x,z)) != u | K(x,y) = u. [para(9589(a,1),10101(a,1))]. 10110 K(R(x,y,z),y) != u | K(x,y) = u. [para(8831(a,2),10109(a,1))]. 10111 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(8950(a,2),10109(a,1))]. 10112 T(x,x \ (((x \ y) * z) \ y)) = T(x,z \ 1). [hyper(9139,a,10107,a),flip(a)]. 10114 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(75,a,92,a(flip),b,10048,a)]. 10116 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(240,a,6461,a,b,10073,a(flip)),flip(a)]. 10117 R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. [para(14(a,1),10114(a,1,2)),flip(a)]. 10118 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9134(a,1),10114(a,1,1)),flip(a)]. 10119 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4735(a,2),10040(a,1,1))]. 10120 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(10119(a,1),65(a,1,1))]. 10121 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(10120(a,1),9291(a,1,1,1))]. 10123 R(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). [para(10072(a,1),726(a,1,1,3))]. 10124 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10074(a,1),8356(a,1,2,2))]. 10125 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(10077(a,1),5006(a,1,2)),flip(a)]. 10126 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(10077(a,1),9473(a,2,2))]. 10128 L(x,T(y,x),z) = L(x,y,z). [hyper(240,a,28,a,b,10087,a),flip(a)]. 10130 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(240,a,9492,a,b,10128,a(flip)),flip(a)]. 10131 L(x,y / x,z) = L(x,x \ y,z). [para(124(a,1),10128(a,1,2)),flip(a)]. 10133 (x * y) / L(z,z \ y,x) = x * (y / z). [para(10131(a,1),501(a,1,2))]. 10134 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10131(a,1),6288(a,1,1))]. 10136 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [para(10133(a,1),236(a,1,1)),flip(a)]. 10137 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(7112,a,10016,a),flip(a)]. 10138 K(x \ (y * z),x) != u | K(y * (x \ z),x) = u. [para(10016(a,1),7112(a,1))]. 10139 K(x * (y \ 1),y) = K(y \ x,y). [para(12(a,1),10137(a,1,1,2)),flip(a)]. 10140 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),10137(a,2,1,2))]. 10141 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10137(a,1,1,2)),flip(a)]. 10142 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(5426,a,10139,a),flip(a)]. 10144 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(240,a,6116,a(flip),b,10142,a)]. 10145 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(240,a,8980,a(flip),b,10142,a(flip))]. 10146 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(10145(a,1),4849(a,1,1,2))]. 10147 T(x / (x / (y \ 1)),x * y) = y \ 1. [para(8984(a,1),10146(a,1,1))]. 10148 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(10023(a,1),4976(a,1,2))]. 10149 K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). [hyper(7811,a,10029,a)]. 10150 K(x / (y \ z),y \ z) = K(z \ (y * x),y \ z). [hyper(5598,a,10029,a)]. 10151 K(((x \ y) \ y) \ z,(x \ y) \ y) = K(y \ ((x \ y) * z),T(x,y)). [hyper(240,a,6966,a(flip),b,10029,a)]. 10152 K(x \ (y * z),y \ x) / K((y \ x) \ z,K(x,y)) = K((y \ x) \ z,x / y). [hyper(75,a,10029,a(flip),b,8177,a)]. 10153 x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). [para(10029(a,1),263(a,1,2))]. 10154 T(x \ y,z) \ T((x \ y) * K(y \ (x * u),x \ y),z) = K((x \ y) \ u,T(x \ y,z)). [para(10029(a,1),5318(a,1,2,1,2))]. 10155 K((x / y) \ z,x / y) = K(x \ (y * z),x / y). [hyper(8074,a,10035,a)]. 10156 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [hyper(240,a,4836,a,b,10038,a)]. 10157 T(x,L(x * (y \ z),x \ 1,y) \ u) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ u)). [para(1070(a,1),10156(a,1,2,2,1)),flip(a)]. 10158 (x * y) \ (K(y,x) * z) = K(y,x) * ((x * y) \ z). [hyper(555,a,10069,a)]. 10159 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(240,a,9595,a(flip),b,10069,a)]. 10160 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(73,a,9595,a(flip),b,10069,a)]. 10162 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(555,a,10159,a)]. 10163 (K(x,y) * z) / ((y * x) \ z) = x * y. [hyper(533,a,10159,a)]. 10164 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(310,a,10159,a),flip(a)]. 10165 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(164,a,10159,a),flip(a)]. 10166 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),10159(a,1,2,1))]. 10167 K(x,y / x) * (y * z) = (x * (y / x)) * z. [para(16(a,1),10159(a,1,2,1))]. 10168 K(x * y,z) * ((z * x) * y) = ((x * y) * z) * a(z,x,y). [para(94(a,1),10159(a,1,2))]. 10170 ((x * y) * z) \ (K(x,y) * ((y * x) * (z * u))) = L(L(u,z,y * x),(y * x) * z,K(x,y)). [para(10159(a,1),442(a,1,1))]. 10171 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(10159(a,1),460(a,1,2))]. 10172 (x * y) \ ((x * y) * z) = L(z,y * x,K(x,y)). [para(10159(a,1),4908(a,1,2))]. 10173 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(10159(a,1),8433(a,1,2,2)),flip(a)]. 10176 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(73,a,7949,a(flip),b,10165,a(flip))]. 10177 (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(4120(a,2),10162(a,2,1))]. 10178 (x * y) * ((y * x) \ y) = y * K(x,y). [hyper(240,a,3191,a(flip),b,10164,a)]. 10179 (((x \ y) * z) * x) * a(x,x \ y,z) = K((x \ y) * z,x) * (y * z). [para(95(a,1),10164(a,1,2))]. 10181 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(262,a,10178,a)]. 10183 ((x \ y) * x) * T(z,T(y,x)) = (z * y) * K(x \ y,x). [hyper(240,a,8306,a(flip),b,10166,a(flip))]. 10184 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(73,a,10166,a(flip),b,5250,a)]. 10185 ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. [para(10166(a,1),310(a,1))]. 10187 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(4959(a,1),10167(a,1,1))]. 10188 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4913(a,2),10181(a,1,2)),flip(a)]. 10189 x * ((y * (x / y)) \ y) = x / (x / y). [para(10188(a,2),14(a,1,2))]. 10190 L(x,y * z,K(z,y)) = x. [hyper(242,a,10172,a),flip(a)]. 10191 L(x,T(y,z),z) = L(x,y,z). [hyper(6368,a,10190,a)]. 10193 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(240,a,6367,a(flip),b,10190,a(flip))]. 10194 L(x,y,K(z \ y,z)) = x. [para(14(a,1),10190(a,1,2))]. 10195 L(x,T(y,z) * z,K(z,y)) = x. [para(4956(a,1),10190(a,1,3))]. 10196 L(x,y,K(z,z \ y)) = x. [para(4995(a,1),10194(a,1,3))]. 10197 (x * y) \ (y * (z * T(x,y))) = L(T(z,T(x,y)),x,y). [hyper(240,a,684,a,b,10191,a(flip)),flip(a)]. 10198 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(240,a,462,a(flip),b,10191,a(flip))]. 10199 L(x,y / z,z) = L(x,z \ y,z). [para(124(a,1),10191(a,1,2)),flip(a)]. 10200 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(123(a,1),10191(a,1,2))]. 10202 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(10191(a,1),448(a,1,2))]. 10203 L(x,T(y,K(z,u)),z) = L(x,T(y,T(z,u)),z). [para(6891(a,1),10191(a,1,2)),flip(a)]. 10204 L(x,y,T(z,y)) = L(x,y,z). [hyper(6634,a,10195,a),flip(a)]. 10205 L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). [hyper(1920,a,10204,a)]. 10206 L(x,y,z / y) = L(x,y,y \ z). [para(124(a,1),10204(a,1,3)),flip(a)]. 10207 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [hyper(240,a,10204,a,b,10199,a),flip(a)]. 10208 L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). [hyper(240,a,108,a(flip),b,10199,a(flip))]. 10209 L(x,((y \ z) \ z) \ u,(y \ z) \ z) = L(x,u / T(y,y \ z),(y \ z) \ z). [para(637(a,2),10199(a,1,2)),flip(a)]. 10210 L(x \ y,x,x \ y) = T(y / x,y). [hyper(716,a,10206,a),flip(a)]. 10211 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(240,a,109,a,b,10206,a(flip)),flip(a)]. 10212 L(x \ y,x,x \ y) != z | T(y / x,y) = z. [para(10206(a,1),716(a,1))]. 10213 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(10206(a,1),7665(a,1,1))]. 10214 L(L(x,y,z),z * y,(z * y) \ (z * (y * x))) = T((z * (y * x)) / (z * y),z * (y * x)). [para(28(a,2),10210(a,1,1))]. 10216 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(10193(a,2),62(a,1,2))]. 10217 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5082(a,1),10193(a,2,2,2)),flip(a)]. 10218 L(x \ T(y,z / x),x,x \ z) = z \ (y * (z / x)). [para(180(a,1),10211(a,1,2)),flip(a)]. 10219 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(240,a,8749,a(flip),b,10203,a(flip))]. 10220 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(124(a,1),10219(a,1,2)),flip(a)]. 10222 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(240,a,9239,a(flip),b,10220,a)]. 10224 T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). [hyper(240,a,6819,a,b,10085,a(flip)),flip(a)]. 10225 K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). [para(10085(a,1),6296(a,1,2,1))]. 10226 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6113(a,1),10125(a,2,2))]. 10227 L(x,K(y \ (z * u),z \ y),(z \ y) * (u / (z \ y))) = x. [para(10150(a,1),9598(a,1,2))]. 10228 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(240,a,8800,a(flip),b,10173,a)]. 10229 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(124(a,1),10228(a,1,2)),flip(a)]. 10230 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(240,a,8724,a(flip),b,10062,a(flip))]. 10231 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10062(a,2),7373(a,1))]. 10233 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(887(a,1),10230(a,1,1)),flip(a)]. 10234 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(240,a,4332,a(flip),b,10078,a(flip))]. 10236 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1304(a,1),10234(a,1,2,1))]. 10237 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(10236(a,1),65(a,1,1)),flip(a)]. 10238 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(314,a,10237,a)]. 10239 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(81,a,10237,a)]. 10240 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(10237(a,1),3337(a,1,2)),flip(a)]. 10241 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9627(a,1),10118(a,1,1)),flip(a)]. 10242 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(10185,a,9667,a),flip(a)]. 10243 (x * (y / x)) \ 1 = y \ K(x \ y,x). [hyper(73,a,12,a(flip),b,10242,a),flip(a)]. 10246 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(784(a,1),10218(a,1,1,2,2))]. 10247 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(121(a,1),10231(a,1,2,1))]. 10248 K(L(x,y,z),L(y,u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10062(a,1),10231(a,1))]. 10249 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(14(a,1),10247(a,1,2))]. 10250 L(K(x,y / z),y,u) != w | K(x,L(y / z,z,u)) = w. [para(16(a,1),10247(a,1,2))]. 10251 K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. [para(9531(a,1),10248(a,1))]. 10252 (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(9090(a,1),10020(a,1,1,2))]. 10253 K(x,T(y,z)) * (z * (y * x)) = z * (x * y). [para(8820(a,1),10052(a,1,1))]. 10254 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(240,a,8356,a(flip),b,10124,a(flip))]. 10255 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(240,a,8330,a(flip),b,10254,a(flip))]. 10256 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(240,a,6211,a(flip),b,10255,a(flip))]. 10257 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(1299(a,1),10148(a,1,2,2))]. 10258 K(x \ ((y \ x) * z),(y \ x) \ x) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). [hyper(73,a,271,a,b,10153,a),flip(a)]. 10259 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(182,a,10032,a(flip),b,10183,a)]. 10260 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),10259(a,1,2,1)),flip(a)]. 10262 T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). [para(4531(a,1),10259(a,1,2)),flip(a)]. 10264 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(240,a,4800,a(flip),b,10260,a)]. 10265 K(T(x,y),z * y) = K(x,y * z). [hyper(7893,a,10264,a),flip(a)]. 10266 T(K(x,y * z),y) = K(x,z * y). [hyper(7038,a,10264,a)]. 10267 K(x,T(y * z,y)) = K(x,z * y). [hyper(4858,a,10264,a)]. 10268 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(10264(a,2),4803(a,1))]. 10269 K(x / y,z * y) = K(y \ x,y * z). [hyper(8061,a,10265,a)]. 10270 K(x,T(y * z,z)) = K(x,z * y). [hyper(7302,a,10265,a)]. 10271 K(x / y,x * z) = K(y \ x,z * x). [hyper(240,a,7145,a(flip),b,10265,a(flip))]. 10272 K(x / y,y * z) = K(y \ x,z * y). [para(124(a,1),10265(a,1,1)),flip(a)]. 10273 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(273(a,1),10265(a,1,1)),flip(a)]. 10274 K(x,y * z) * y = y * K(x,z * y). [para(10265(a,1),7640(a,1,1))]. 10275 K(T(x,y),y * z) = K(x,z * y). [hyper(7255,a,10266,a)]. 10278 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(10266(a,1),7779(a,1))]. 10279 K(x \ (y \ x),x * z) = K(y \ 1,z * x). [hyper(8052,a,10267,a)]. 10280 K(x,L(y \ 1,y,z) \ z) = K(x,y * z). [hyper(7309,a,10267,a)]. 10281 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),10267(a,1,2,1)),flip(a)]. 10282 K(x,T(y * z,z)) = K(x,T(y,z) * z). [para(122(a,1),10267(a,1,2,1))]. 10283 K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. [para(10267(a,1),8084(a,1))]. 10284 K(x,T((y \ z) * y,y)) = K(x,z). [para(14(a,1),10270(a,2,2))]. 10285 T(K(x,y * z),y) != u | K(x,z * y) = u. [para(10270(a,1),7645(a,1,1))]. 10286 K(x / y,y * z) != u | K(y \ x,z * y) = u. [para(10270(a,1),7783(a,1))]. 10287 T(x,K(y,z)) * K(z * x,y) = x / K(y,x * z). [para(10270(a,1),8693(a,1,2)),flip(a)]. 10288 (x * y) \ K(z,y * x) != u | T(x * y,T(z,x)) \ 1 = u. [para(10275(a,1),4767(a,1,2))]. 10289 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4531(a,1),10281(a,1,2)),flip(a)]. 10290 K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). [para(4531(a,1),10284(a,1,2,1))]. 10291 K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. [para(10269(a,1),5406(a,1))]. 10292 T(x,K(y,z * x)) \ (K(y,x * z) * x) = T(K(y,z * x),x). [hyper(73,a,10274,a,b,3939,a)]. 10293 K(x,T(y,z) * z) = K(x,z * y). [hyper(240,a,10270,a(flip),b,10282,a(flip))]. 10294 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(7834(a,2),10268(a,1))]. 10295 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(L(x \ 1,x,y),x * y). [para(10280(a,1),4976(a,1,2)),flip(a)]. 10296 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(6964(a,2),10285(a,1))]. 10297 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(8040(a,2),10296(a,1))]. 10298 K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. [para(8045(a,2),10296(a,1))]. 10299 K(x,T(y,z) * z) != u | K(x,z * y) = u. [para(10282(a,1),10297(a,1))]. 10300 T(x,T(y * z,z)) = T(x,z * y). [hyper(9142,a,10262,a),flip(a)]. 10301 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(10262(a,1),7004(a,1,2))]. 10302 T(x,T(y * z,z)) != u | T(x,z * y) = u. [para(10262(a,1),9142(a,1))]. 10303 T(x,y * (z / y)) = T(x,T(z,y)). [para(16(a,1),10300(a,1,2,1)),flip(a)]. 10304 T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y). [para(10300(a,1),6178(a,2,2))]. 10305 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(4120(a,2),10303(a,1,2)),flip(a)]. 10306 T(x,y * K(z \ 1,y * z)) = T(x,T(y,z \ 1)). [para(5843(a,1),10303(a,1,2))]. 10307 T(x,T(y,z) * z) = T(x,z * y). [hyper(10268,a,10305,a),flip(a)]. 10308 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(10305(a,1),10268(a,1))]. 10309 T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. [para(10307(a,1),9143(a,1,2))]. 10310 T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. [para(10054(a,1),10302(a,1,2,1))]. 10311 T(x,T(y,z \ u) * ((u \ z) \ 1)) != w | T(x,((u \ z) \ 1) * y) = w. [para(6086(a,1),10308(a,1,2,1))]. 10312 T(x,T(y,T(z,u)) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(10259(a,1),10308(a,1,2,1))]. 10313 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10273(a,1),9717(a,1,2))]. 10314 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(106(a,1),10313(a,1,2,2))]. 10315 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(10289(a,1),4989(a,1))]. 10316 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(9562(a,1),10314(a,1,2)),flip(a)]. 10317 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(10294,a,7564,a),flip(a)]. 10319 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7594(a,1),10294(a,1,1,2))]. 10320 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(7564(a,1),10294(a,1))]. 10321 T(T(x,K(y,z)),y * z) = T(x,z * y). [hyper(421,a,10317,a)]. 10322 T(x,K(y,z)) * K(z * x,y) = x * K(x * z,y). [hyper(240,a,7094,a(flip),b,10287,a)]. 10323 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(240,a,9817,a(flip),b,10301,a)]. 10324 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(240,a,9919,a,b,10323,a(flip)),flip(a)]. 10325 T(x,y * K(z \ 1,y * z)) = T(x,T(y,z)). [hyper(240,a,8012,a(flip),b,10306,a)]. 10326 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(10325(a,1),8438(a,1,2))]. 10327 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(10326(a,1),6988(a,1,2))]. 10328 K(x * y,z) * y = y * K(y * x,z). [hyper(8187,a,10322,a)]. 10329 K(x * y,T(z,x)) = K(y * x,z). [hyper(7646,a,10328,a),flip(a)]. 10330 K(x * y,T(z,y)) = K(y * x,z). [hyper(7026,a,10328,a)]. 10332 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [hyper(18,a,7028,a(flip),b,10328,a)]. 10333 ((x * y) * K((x * y) * z,K(u,x))) / y = T(x,K(z * (x * y),u)). [hyper(75,a,10328,a(flip),b,7516,a(flip))]. 10334 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(8084,a,10329,a)]. 10335 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),10329(a,1,1)),flip(a)]. 10336 K(x * y,x \ z) = K(y * x,z / x). [para(124(a,1),10329(a,1,2))]. 10337 K(x * y,z) * x = x * K(y * x,z). [para(10329(a,1),6988(a,1,2)),flip(a)]. 10338 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(10329(a,1),7780(a,1))]. 10341 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(240,a,7406,a(flip),b,10330,a(flip))]. 10342 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),10330(a,1,1)),flip(a)]. 10343 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(411(a,1),10330(a,1,1))]. 10344 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(10330(a,1),4800(a,2,2)),flip(a)]. 10345 K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). [para(7579(a,1),10330(a,1,2)),flip(a)]. 10346 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(10330(a,1),7780(a,1))]. 10347 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * R(x,y,y \ 1),z). [para(1089(a,1),10335(a,1,1,1)),flip(a)]. 10348 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(4120(a,2),10342(a,1,1))]. 10349 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5477(a,1),10342(a,1,1,2)),flip(a)]. 10350 (x * y) \ (T(x,K((x * y) * z,u)) * y) = K(z * (x * y),K(x,u)). [hyper(7500,a,10337,a)]. 10351 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),x * (y / x)). [hyper(401,a,10187,a,b,10337,a),flip(a)]. 10353 K(T(x,y) * y,z) = K(y * x,z). [hyper(240,a,10329,a(flip),b,10348,a)]. 10354 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(T(x,y) * y) \ z). [para(10353(a,1),4976(a,1,2)),flip(a)]. 10355 K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. [para(5929(a,1),10338(a,1,1))]. 10356 K(x * y,z / y) != u | K(y * x,y \ z) = u. [para(7609(a,1),10338(a,1))]. 10357 K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. [para(8035(a,1),10338(a,1))]. 10358 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(616(a,1),10346(a,1,2))]. 10360 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5280(a,2),10346(a,1,1))]. 10361 K((x \ y) * z,T(x,y)) != u | K(z * (x \ y),x) = u. [para(6957(a,1),10346(a,1))]. 10364 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [hyper(240,a,8042,a(flip),b,10334,a(flip)),flip(a)]. 10365 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1880(a,1),10334(a,1,1)),flip(a)]. 10366 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(240,a,6640,a(flip),b,10341,a(flip))]. 10367 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(7884(a,1),10344(a,1,2,1)),flip(a)]. 10368 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(10298,a,9545,a)]. 10369 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(7851,a,10304,a)]. 10370 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(8425,a,10327,a)]. 10371 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8084,a,10343,a)]. 10372 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10068(a,1),10116(a,1,1))]. 10374 (K(K(x * y,z),(z * x) * y) * u) / ((((z * x) * y) * K(x * y,z)) \ u) = ((x * y) * z) * a(z,x,y). [hyper(240,a,10163,a,b,10168,a(flip)),flip(a)]. 10375 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(240,a,9982,a(flip),b,10229,a(flip))]. 10376 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(240,a,9213,a(flip),b,10375,a(flip))]. 10377 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(129(a,1),10375(a,2,2))]. 10378 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(240,a,9319,a(flip),b,10377,a(flip)),flip(a)]. 10380 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),10378(a,2,2))]. 10381 K(x,a(x,y,y \ 1) * z) = K(x,z). [para(13(a,1),10380(a,1,2)),flip(a)]. 10383 T((a(x,y,y \ 1) * z) * K(x,z),x) = a(x,y,y \ 1) * z. [para(10381(a,1),4777(a,1,1,2))]. 10384 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(53(a,1),10376(a,1,2,2))]. 10385 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,T(z * x,x)). [hyper(240,a,6964,a,b,10292,a)]. 10386 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(240,a,9708,a(flip),b,10364,a)]. 10387 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,x * z). [hyper(240,a,10270,a(flip),b,10385,a)]. 10388 T(x,K(y,z)) \ (K(y,x * z) * x) = K(y,x * z). [para(7867(a,1),10387(a,1,1))]. 10389 T(x,K(y,z)) \ (x * K(y,z * x)) = K(y,x * z). [para(10274(a,1),10388(a,1,2))]. 10390 K(K(x,y),z) * K(x,y * z) = K(x,z * y). [hyper(5180,a,10389,a)]. 10391 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [hyper(5191,a,10390,a)]. 10392 K(x,K(y,z)) * K(y,x * z) != u | K(y,z * x) = u. [para(10390(a,1),5200(a,1,2)),flip(b)]. 10393 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(7451(a,1),10390(a,1,1))]. 10394 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(7488(a,1),10390(a,1,1))]. 10395 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [para(7505(a,1),10390(a,1,1))]. 10396 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(5696,a,10393,a)]. 10398 x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). [hyper(21,a,10394,a)]. 10399 K(x,y * z) / (x \ K(x,z * y)) = T(x,K(y,z)). [hyper(75,a,10395,a(flip),b,4780,a)]. 10400 K(x,K(y,z)) * ((u \ K(x,z * y)) * u) = K(x,y * z) * K(u \ K(x,z * y),u). [para(10395(a,1),10032(a,1,1)),flip(a)]. 10401 x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(7216(a,1),10398(a,1,2,1,2))]. 10402 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(240,a,8657,a(flip),b,10102,a)]. 10403 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(240,a,8658,a,b,10402,a(flip)),flip(a)]. 10404 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(65(a,1),10403(a,2,2,2,1))]. 10405 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(10109,a,10404,a),flip(a)]. 10406 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(9937,a,10405,a)]. 10408 K(x,x \ ((x * y) / z)) = K(x,y / z). [hyper(240,a,8627,a(flip),b,10405,a(flip))]. 10409 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(240,a,6572,a(flip),b,10405,a(flip)),flip(a)]. 10410 x \ T(x,x \ (y / z)) = K(x,y / (x * z)). [hyper(240,a,4753,a(flip),b,10406,a),flip(a)]. 10411 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10406(a,1),8664(a,1,2))]. 10412 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4300(a,1),10408(a,1,2,2))]. 10413 K(x,y / (x * z)) != u | K(x,x \ (y / z)) = u. [para(10410(a,1),4860(a,1))]. 10414 K(x,T((x * y) \ z,y)) != u | K(x,x \ (z / y)) = u. [para(7674(a,2),10413(a,1))]. 10415 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(240,a,8661,a(flip),b,10409,a(flip))]. 10416 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(240,a,10408,a(flip),b,10415,a(flip))]. 10417 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(10416(a,1),6480(a,1))]. 10418 K(x,(x * y) / (z * x)) != u | K(x,y / z) = u. [para(10416(a,2),9941(a,1))]. 10419 K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. [para(10405(a,1),10418(a,1))]. 10420 K(x / y,((y \ x) * y) \ z) = K(y \ x,(y \ x) \ (z / y)). [hyper(10414,a,7606,a),flip(a)]. 10421 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4803,a,10411,a),flip(a)]. 10422 K(x / y,((y \ x) * y) \ z) = K(y \ x,x \ (y * (z / y))). [hyper(240,a,10023,a(flip),b,10420,a)]. 10423 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(240,a,9292,a(flip),b,10121,a)]. 10424 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(240,a,5592,a,b,10423,a(flip)),flip(a)]. 10425 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10110,a,10424,a),flip(a)]. 10427 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(240,a,8641,a,b,10425,a(flip)),flip(a)]. 10428 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10427(a,1),7147(a,1,1))]. 10429 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7026,a,10428,a)]. 10430 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(8575,a,10429,a)]. 10431 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10430(a,1),7098(a,1,1,2)),flip(a)]. 10432 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(240,a,7098,a(flip),b,10431,a)]. 10433 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7302,a,10432,a)]. 10434 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(62(a,1),10433(a,1,2,1,2)),flip(a)]. 10435 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(9041(a,1),10126(a,2,2))]. 10436 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(240,a,5335,a(flip),b,10435,a)]. 10437 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(62(a,1),10436(a,1,1))]. 10438 K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). [hyper(7296,a,10151,a)]. 10439 K(x \ ((y \ x) * z),T(y,x)) != u | K(y \ z,T(y,x)) = u. [para(10438(a,1),6804(a,1))]. 10440 (x * y) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(16(a,1),10177(a,1,1))]. 10442 (x * y) \ (K(x \ (x * y),x) * z) = (T(x,y) * y) \ z. [para(4994(a,1),10440(a,1,2,1))]. 10443 (x * y) \ (K(y,x) * z) = (T(x,y) * y) \ z. [para(13(a,1),10442(a,1,2,1,1))]. 10444 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [hyper(240,a,10158,a(flip),b,10443,a(flip)),flip(a)]. 10446 K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). [hyper(7300,a,10225,a)]. 10447 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9025(a,2),10226(a,2,2))]. 10448 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(240,a,7219,a(flip),b,10233,a)]. 10449 ((x * y) * K(x,K(z,(x * y) * u))) / y = T(x,K(u * (x * y),z)). [para(7450(a,1),10333(a,1,1,2))]. 10450 (x * y) \ (T(x,K(z,(x * y) * u)) * y) = K(u * (x * y),K(x,z)). [para(7560(a,1),10350(a,1,2,1))]. 10451 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(240,a,10104,a(flip),b,10412,a(flip))]. 10452 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(62(a,1),10437(a,1,2,1)),flip(a)]. 10453 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(6130(a,1),10452(a,1,1))]. 10454 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10453(a,2),2047(a,1,2))]. 10455 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10453(a,2),9947(a,2,1,1,2,1)),flip(a)]. 10456 K(x,T(y \ z,y \ (z * u))) = K(x,(((z \ y) \ u) \ u) \ 1). [hyper(240,a,9059,a(flip),b,10446,a(flip)),flip(a)]. 10457 K(x,T(y \ z,y \ (z * u))) = K(x,u \ ((z \ y) \ u)). [hyper(240,a,6111,a(flip),b,10456,a)]. 10458 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(240,a,648,a(flip),b,10448,a)]. 10459 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(8050,a,10458,a)]. 10461 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(9750,a,10459,a)]. 10462 ((x * y) * K(x,K(z,y * u))) / y = T(x,K(u * (x * y),z)). [para(8806(a,1),10449(a,1,1,2))]. 10463 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(240,a,10222,a(flip),b,10130,a)]. 10465 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(10463(a,1),7197(a,1,1)),flip(a)]. 10466 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7099(a,1),10465(a,1,2,2))]. 10468 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(240,a,40,a,b,10466,a)]. 10469 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(1127(a,2),10468(a,1,2,2))]. 10470 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(5079(a,1),10468(a,1,2))]. 10471 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(10469(a,1),44(a,1,1)),flip(a)]. 10472 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8260(a,2),10470(a,1,2))]. 10473 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(240,a,10191,a(flip),b,10472,a(flip)),flip(a)]. 10474 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(240,a,44,a(flip),b,10471,a)]. 10475 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(240,a,6116,a(flip),b,10144,a(flip)),flip(a)]. 10478 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(9760,a,10066,a)]. 10479 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(240,a,40,a,b,10086,a(flip)),flip(a)]. 10480 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(8192,a,10097,a)]. 10481 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(x \ 1,x * y). [para(6039(a,1),10295(a,2,2))]. 10483 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(176(a,1),10324(a,2,2,2))]. 10484 K(L(x,y,z) \ u,L(x,y,z)) != w | K(x \ u,L(x,y,z)) = w. [para(10478(a,1),10251(a,1))]. 10485 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9459(a,1),10479(a,1,1))]. 10486 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(240,a,3928,a(flip),b,10480,a)]. 10487 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10082(a,1),10485(a,1,1)),flip(a)]. 10488 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10487(a,1),209(a,1,2))]. 10489 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10487(a,1),5071(a,1,2,1))]. 10492 L(x / (x / y),z,u) \ x = x / L(y,z,u). [para(283(a,1),10488(a,1,2,1)),flip(a)]. 10493 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [para(10492(a,1),62(a,1,2)),flip(a)]. 10496 T(x / (x / L(y,z,u)),x / y) = L((x / y) \ x,z,u). [para(10493(a,1),195(a,1,1))]. 10498 T(x / (x / L(y,z,u)),x / y) = L(y,z,u). [para(65(a,1),10496(a,2,1))]. 10499 T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). [para(10498(a,1),38(a,1,1)),flip(a)]. 10500 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(240,a,42,a,b,10486,a)]. 10501 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10421(a,1),10500(a,1,1))]. 10502 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),10501(a,1,1,2,2)),flip(a)]. 10503 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(563,a,10502,a),flip(a)]. 10504 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(10502(a,1),5157(a,1,2,1))]. 10505 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(240,a,969,a(flip),b,10503,a(flip)),flip(a)]. 10506 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),10503(a,1,1,2)),flip(a)]. 10507 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(589(a,1),10503(a,1,1)),flip(a)]. 10508 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(8300(a,1),10503(a,1,1)),flip(a)]. 10511 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5462(a,1),10505(a,2,1))]. 10514 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(10507(a,1),9516(a,1,2,1)),flip(a)]. 10515 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1168(a,1),10506(a,1,1)),flip(a)]. 10516 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6437(a,1),10508(a,1,1))]. 10517 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(6964(a,2),10516(a,2,1))]. 10518 ((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(8115(a,1),10517(a,2,1))]. 10519 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(240,a,189,a(flip),b,10515,a)]. 10520 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),10519(a,2,1))]. 10521 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(240,a,592,a(flip),b,10520,a)]. 10522 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(10521(a,1),4761(a,1,1))]. 10523 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5013,a,10522,a),flip(a)]. 10524 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8067,a,10523,a)]. 10525 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(240,a,9495,a,b,10524,a)]. 10526 K(x \ (y * z),y \ x) / K(x,K((y \ x) \ z,y)) = K((y \ x) \ z,x / y). [para(7487(a,1),10152(a,1,2))]. 10527 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5166(a,1),10171(a,1,1))]. 10528 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [hyper(240,a,4678,a(flip),b,10209,a),flip(a)]. 10529 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),T(y,z)). [hyper(7296,a,10258,a),flip(a)]. 10530 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(y \ x,T(y,z)). [hyper(10439,a,10529,a(flip)),flip(a)]. 10532 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(864(a,1),10371(a,1,1))]. 10533 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(8051,a,10532,a),flip(a)]. 10535 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(240,a,5158,a(flip),b,10489,a(flip))]. 10536 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(10535(a,1),9630(a,1,2)),flip(a)]. 10537 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5408,a,10504,a),flip(a)]. 10539 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(10537(a,1),5314(a,1,1,2))]. 10540 K(x \ (y * z),y \ x) / K(x,K(x \ (y * z),y)) = K((y \ x) \ z,x / y). [para(9113(a,1),10526(a,1,2,2))]. 10541 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4815(a,1),10527(a,1,1,2)),flip(a)]. 10542 K(x \ (y * z),y \ x) / K(x,K(y,y * z)) = K((y \ x) \ z,x / y). [para(7644(a,1),10540(a,1,2))]. 10543 K(x \ (y * z),y \ x) / K(x,K(y,z)) = K((y \ x) \ z,x / y). [para(7484(a,1),10542(a,1,2))]. 10544 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K((y \ x) \ z,x / y). [hyper(7547,a,10543,a)]. 10545 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K(x \ (y * z),x / y). [hyper(240,a,10035,a(flip),b,10544,a)]. 10546 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(122(a,1),10108(a,1,1,1))]. 10547 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1609,a,10546,a),flip(a)]. 10548 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(122(a,1),10547(a,1,2))]. 10549 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10484,a,10036,a)]. 10550 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(240,a,10461,a(flip),b,10549,a(flip)),flip(a)]. 10551 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(10484,a,10037,a)]. 10552 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(240,a,10461,a(flip),b,10551,a(flip)),flip(a)]. 10553 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(240,a,7269,a(flip),b,10552,a(flip)),flip(a)]. 10554 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8067,a,10553,a)]. 10555 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(240,a,9371,a(flip),b,10554,a)]. 10556 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10555(a,2,1))]. 10557 T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). [para(10556(a,1),4927(a,1,1,2))]. 10558 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(10556(a,1),9630(a,1,1))]. 10559 T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(5447(a,1),10557(a,1,1))]. 10560 T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). [para(6469(a,1),10559(a,1,1,1,2))]. 10561 R(L(x,y,z),u,L(x,y,z)) = L(T(x * K(x * u,x),u),y,z). [hyper(240,a,40,a,b,10560,a(flip))]. 10562 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(5312(a,1),10561(a,2,1))]. 10563 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(10562(a,1),446(a,1,2))]. 10564 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(10562(a,1),6955(a,1,2))]. 10565 K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. [para(7383(a,1),10564(a,1,2,1))]. 10566 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(9917(a,1),10564(a,1))]. 10567 K(x,L(T(y / z,y \ z) \ 1,u,w)) != v5 | K(x,L(T((y / z) \ 1,1),u,w)) = v5. [para(8100(a,2),10565(a,1,2,1,1))]. 10568 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(439,a,10563,a),flip(a)]. 10569 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(321,a,10568,a),flip(a)]. 10571 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(240,a,4927,a,b,10569,a),flip(a)]. 10574 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(10569(a,2),6927(a,1,1))]. 10575 K(T(x,y),T(z,y)) = K(R(x,u,L(x,w,v5)),z). [hyper(240,a,7600,a,b,10574,a),flip(a)]. 10576 R(x,y,L(x,z,u)) != w | R(x,y,x) = w. [para(10571(a,1),5321(a,1))]. 10577 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(10525(a,1),10571(a,1,1,2))]. 10578 K(R(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(10575(a,1),7782(a,1))]. 10579 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5448(a,1),10577(a,1,1))]. 10580 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(6469(a,1),10579(a,1,1,1,2))]. 10581 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(8192,a,10580,a)]. 10582 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5312(a,1),10581(a,1,1)),flip(a)]. 10583 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(10576,a,10582,a)]. 10584 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(10583(a,1),479(a,1,1)),flip(a)]. 10585 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(240,a,118,a(flip),b,10584,a)]. 10586 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(9781(a,1),10585(a,1,1,1)),flip(a)]. 10587 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(240,a,8163,a(flip),b,10511,a)]. 10588 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(7441(a,1),10587(a,1,1)),flip(a)]. 10589 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),10536(a,2,2,2))]. 10590 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(5448(a,1),10539(a,1,1))]. 10591 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(8192,a,10590,a)]. 10592 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5314(a,1),10591(a,1,1)),flip(a)]. 10593 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(240,a,44,a(flip),b,10592,a)]. 10594 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(10593(a,1),1202(a,1,1,1)),flip(a)]. 10595 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(240,a,10112,a(flip),b,10157,a)]. 10596 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(240,a,6086,a(flip),b,10595,a)]. 10597 K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * z),T(x \ y,u)). [hyper(5320,a,10154,a),flip(a)]. 10598 K((x \ y) \ z,T(x \ y,u)) != w | K(y \ (x * z),T(x \ y,u)) = w. [para(10154(a,1),5320(a,1))]. 10599 L(L(x,y,z * u),(z * u) * y,K(u,z)) = ((u * z) * y) \ ((u * z) * (y * x)). [para(10159(a,1),10170(a,1,2)),flip(a)]. 10600 L(L(x,y,z * u),(z * u) * y,K(u,z)) != w | L(x,y,u * z) = w. [para(10599(a,2),449(a,1))]. 10601 L(x,y,z * x) = L(x,y,x * z). [hyper(10600,a,7065,a)]. 10602 L(x,y,(x \ z) * x) = L(x,y,z). [para(14(a,1),10601(a,2,3))]. 10603 T((x * (y * z)) / (x * y),x * (y * z)) = L(L(z,y,x),x * y,L(z,y,x)). [para(28(a,2),10214(a,1,3)),flip(a)]. 10604 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(51(a,1),10365(a,2,1,2,2,1,2))]. 10605 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),10604(a,2,1,2))]. 10606 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(10605(a,2),7797(a,1))]. 10607 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(240,a,8937,a(flip),b,10454,a(flip)),flip(a)]. 10608 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2883(a,2),10607(a,2,1))]. 10609 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(240,a,65,a(flip),b,10608,a)]. 10611 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(240,a,8404,a(flip),b,10609,a(flip))]. 10612 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10611(a,2),14(a,1,2))]. 10613 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2543(a,1),6382(a,1,2))]. 10614 (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(7491(a,1),7267(a,1,2,2))]. 10615 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(240,a,10434,a(flip),b,8564,a)]. 10616 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4415(a,1),10615(a,2,2))]. 10617 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(240,a,8336,a(flip),b,10616,a)]. 10618 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(240,a,8029,a(flip),b,10617,a)]. 10619 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(10098,a,10618,a)]. 10620 K(T(x,y),x \ z) = K(x,x \ T(z,y)). [hyper(240,a,7142,a,b,10619,a),flip(a)]. 10624 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(10619(a,1),4800(a,2,2)),flip(a)]. 10625 K(x,T(x \ y,z)) * T(y,z) = x * (T(y,z) / x). [para(10619(a,1),4818(a,1,1))]. 10626 T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. [para(10619(a,1),5138(a,1,2))]. 10627 K(x,x \ T(y,z)) \ 1 = K(x \ y,T(x,z)). [para(10619(a,2),7153(a,1,1))]. 10628 K(x,x \ T(y,z)) != u | K(x,T(x \ y,z)) = u. [para(10620(a,1),7302(a,1))]. 10629 x / (x * K(y,y \ T(z,u))) = K(y \ z,T(T(y,u),x)). [para(10620(a,1),7723(a,1,2,2))]. 10631 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(4803,a,10624,a),flip(a)]. 10632 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [hyper(4999,a,10627,a)]. 10633 K((x * y) \ T(z,u),y * x) = K((y * x) \ z,T(y * x,u)). [hyper(240,a,6329,a,b,10632,a(flip)),flip(a)]. 10634 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((x / y) \ z,T(x / y,u)). [hyper(240,a,5257,a,b,10632,a(flip)),flip(a)]. 10635 K(x \ (y * T(z,u)),y \ x) = K((y \ x) \ z,T(y \ x,u)). [hyper(240,a,10029,a(flip),b,10632,a(flip)),flip(a)]. 10636 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(73,a,10632,a(flip),b,10391,a)]. 10637 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(493(a,1),10632(a,2,1))]. 10638 T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. [para(4551(a,2),10628(a,1))]. 10639 K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. [para(10366(a,2),10628(a,1))]. 10640 K(x,T(x \ y,z)) * T(y,z) = T(x * (y / x),z). [hyper(240,a,4513,a,b,10625,a)]. 10641 K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). [hyper(7724,a,10629,a)]. 10644 K(x \ (y * T(z,u)),y \ x) = K(x \ (y * z),T(y \ x,u)). [hyper(240,a,10597,a(flip),b,10635,a)]. 10645 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). [para(8854(a,2),10635(a,1,1,2))]. 10646 K(x \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. [para(10635(a,2),10598(a,1))]. 10648 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(73,a,10644,a(flip),b,8145,a)]. 10649 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((y \ x) \ z,T(x / y,u)). [hyper(240,a,6794,a(flip),b,10634,a)]. 10650 x / (y * T(y \ x,x \ (y * T(z,u)))) = K((y \ x) \ z,T(x / y,u)). [para(10224(a,1),10649(a,1,2,2))]. 10651 K((x \ y) \ z,T(y / x,u)) != w | K(y \ (x * T(z,u)),y / x) = w. [para(10650(a,1),5258(a,1))]. 10652 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(9212(a,1),9104(a,1,1))]. 10653 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(9363,a,10652,a),flip(a)]. 10654 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2036(a,1),10653(a,1,2,1,2))]. 10655 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(240,a,9999,a(flip),b,10654,a(flip)),flip(a)]. 10656 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(240,a,9502,a(flip),b,10655,a(flip))]. 10657 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5451(a,1),10656(a,1,2,1)),flip(a)]. 10658 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K(y \ (z * x),y / z),x \ y). [para(10155(a,1),9665(a,2,1))]. 10659 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(5416,a,9959,a)]. 10660 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(240,a,5845,a(flip),b,10019,a(flip))]. 10661 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(240,a,5490,a(flip),b,10660,a(flip))]. 10663 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(240,a,7922,a(flip),b,10661,a(flip)),flip(a)]. 10664 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(240,a,5490,a(flip),b,10661,a(flip))]. 10666 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(9565(a,1),10663(a,1,1))]. 10667 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(7299,a,10666,a)]. 10668 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(7782,a,10667,a),flip(a)]. 10670 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(64(a,1),10613(a,2,1))]. 10671 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(4793(a,2),10670(a,2,2,2))]. 10672 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = K(x,z). [hyper(240,a,13,a(flip),b,10671,a)]. 10673 K(L(x,x \ 1,y),z) = K(x,z). [hyper(10101,a,10672,a)]. 10675 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(7801,a,10673,a),flip(a)]. 10676 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(7782,a,10675,a),flip(a)]. 10679 L(K(x,y),K(z,x),u) = K(x,y). [hyper(240,a,8597,a(flip),b,10676,a(flip)),flip(a)]. 10681 L(L(K(x,y),z,u),K(w,x),v5) = L(K(x,y),z,u). [para(10679(a,1),45(a,1,1)),flip(a)]. 10682 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(10679(a,1),106(a,1,2))]. 10683 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10679(a,1),446(a,1,2,1))]. 10685 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(10681(a,1),7114(a,1,2)),flip(a)]. 10686 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7110,a,10682,a)]. 10687 R(x,K(y,z),K(z,u)) = x. [hyper(472,a,10682,a)]. 10688 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2160(a,2),10682(a,2,2))]. 10689 R(x,T(K(y,z),u),K(z,w)) = x. [para(1946(a,1),10687(a,1,2))]. 10690 (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(10687(a,1),2366(a,1,1,1))]. 10691 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5644(a,1),10687(a,1,2))]. 10692 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6429(a,1),10687(a,1,3))]. 10693 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(6646(a,1),10687(a,1,3))]. 10694 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5668(a,1),10689(a,1,3))]. 10695 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(10691(a,1),118(a,1,1)),flip(a)]. 10696 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(10691(a,1),505(a,1,1))]. 10697 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(10694(a,1),852(a,1,1)),flip(a)]. 10698 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(10694(a,1),6520(a,1)),flip(a)]. 10699 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(10698,a,9866,a)]. 10700 L(K(x,y),K(z,y),u) = K(x,y). [hyper(8491,a,10686,a)]. 10701 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2160(a,2),10686(a,1,1,2))]. 10702 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(10700(a,1),7114(a,1,2)),flip(a)]. 10703 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(182,a,10688,a,b,599,a)]. 10704 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(240,a,9303,a,b,10688,a(flip)),flip(a)]. 10705 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(240,a,8927,a(flip),b,10688,a(flip)),flip(a)]. 10708 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,10686,a,b,10701,a(flip)),flip(a)]. 10710 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(10701(a,1),7123(a,1,1)),flip(b)]. 10711 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [hyper(401,a,4979,a(flip),b,10702,a)]. 10712 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(5697(a,1),10702(a,1,2))]. 10713 R(x,K(y,z),K(u,y)) = x. [hyper(472,a,10704,a)]. 10714 L(K(x,y),K(y,z),u) = K(x,y). [hyper(438,a,10704,a)]. 10715 ((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(2996(a,1),10704(a,1,1))]. 10716 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(7090(a,1),10704(a,1,1)),flip(a)]. 10717 R(x / K(y,z),K(u,w),K(v5,u)) = x * K(z,y). [hyper(240,a,7094,a(flip),b,10713,a)]. 10718 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(10714(a,1),447(a,1,2,1))]. 10719 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7600(a,1),10714(a,1,2))]. 10720 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(10719(a,1),106(a,1,2))]. 10721 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(10717(a,1),1209(a,1,2,2)),flip(a)]. 10722 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(81,a,10708,a)]. 10723 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(10708(a,1),19(a,1)),flip(a)]. 10724 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(10708(a,1),299(a,1,1)),flip(b)]. 10725 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(73,a,4979,a(flip),b,10712,a)]. 10726 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(10716(a,1),4884(a,1,1,1))]. 10727 (x * (K(y,z) * K(z,u))) \ x = K(u,z) * K(z,y). [para(2160(a,1),10722(a,1,1,2))]. 10728 x / (K(y,z) * K(z,u)) != w | x * (K(u,z) * K(z,y)) = w. [para(10727(a,1),298(a,1,2)),flip(b)]. 10729 (x / T(y,z)) * K(y,u) != w | (x / y) * (K(y,u) * K(z,y)) = w. [para(7104(a,1),10710(a,1,1))]. 10730 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(9626(a,1),10705(a,2,2))]. 10731 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(5191,a,10730,a)]. 10733 K(x / y,x) * (z * a(x / y,y,x / y)) = K(x / y,y) * z. [para(16(a,1),10731(a,1,1,2))]. 10735 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(240,a,9311,a,b,10720,a(flip)),flip(a)]. 10736 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(240,a,9423,a(flip),b,10735,a(flip))]. 10737 K(x \ y,y) * (z * a(y / x,x,y / x)) = K(y / x,x) * z. [para(6035(a,1),10733(a,1,1))]. 10738 K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(y / x,x) * z. [para(9841(a,1),10737(a,1,2,2))]. 10739 K(x \ y,y) * (z * a(x \ y,x,x \ y)) = K(x \ y,x) * z. [para(4994(a,1),10738(a,2,1))]. 10740 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2162(a,2),10683(a,2,2))]. 10741 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(7090(a,1),10683(a,1,1)),flip(a)]. 10742 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2166(a,1),10695(a,2,2))]. 10743 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(7090(a,1),10718(a,1,1)),flip(a)]. 10744 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7731(a,1),10736(a,1,2)),flip(a)]. 10745 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6347(a,1),10744(a,2,2))]. 10746 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(240,a,8287,a,b,10740,a(flip)),flip(a)]. 10747 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(75,a,8254,a(flip),b,10741,a)]. 10748 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(240,a,4120,a(flip),b,10743,a)]. 10749 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7116,a,10696,a)]. 10750 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(240,a,2166,a(flip),b,10749,a)]. 10751 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7090(a,1),10750(a,1,2)),flip(a)]. 10752 T(x,a(y,z,K(x,u))) = x. [para(10751(a,1),6815(a,1,2))]. 10753 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8746(a,1),10751(a,1,2))]. 10754 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10752(a,1),6988(a,1,2,2)),flip(a)]. 10755 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8484,a,10753,a)]. 10756 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5235,a,10753,a)]. 10757 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5191,a,10753,a)]. 10758 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2168,a,10753,a)]. 10760 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10753(a,1),4779(a,1,2)),flip(a)]. 10761 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6273(a,1),10753(a,1,2))]. 10762 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10753(a,1),6545(a,1,1)),flip(a)]. 10763 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6643(a,1),10753(a,1,2))]. 10764 K(1 / x,y) * K(y,1 / L(x,z,u)) = a(u,z,K(1 / x,y)). [para(6652(a,1),10753(a,1,2))]. 10765 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(9455(a,1),10753(a,1,2))]. 10766 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(10753(a,1),10685(a,1,2))]. 10767 a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. [para(10756(a,1),5193(a,1))]. 10768 a(x,y \ 1,K(y,z)) = 1. [hyper(72,a,6588,a(flip),b,10757,a),flip(a)]. 10769 a(x,y,K(z,y)) = 1. [hyper(72,a,5974,a(flip),b,10757,a),flip(a)]. 10770 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(10757(a,1),5200(a,1,2)),flip(b)]. 10771 L(K(x,y),y,z) = K(x,y). [hyper(33,a,10769,a)]. 10772 a(x,y,K(z,T(y,u))) = 1. [para(6974(a,1),10769(a,1,3))]. 10773 a(x,T(y,z),K(u,y)) = 1. [para(7163(a,1),10769(a,1,3))]. 10774 a(x,y,K(z,L(y,u,w))) = 1. [para(9876(a,1),10769(a,1,3))]. 10775 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10768,a)]. 10776 a(x,y,K(y \ 1,z)) = 1. [hyper(240,a,4711,a(flip),b,10768,a(flip)),flip(a)]. 10777 K(L(x,y,z),x * y) = K(x,x * y). [hyper(8723,a,10771,a)]. 10778 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6279,a,10771,a)]. 10779 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(240,a,6116,a,b,10771,a)]. 10780 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(240,a,6263,a(flip),b,10771,a(flip))]. 10781 (x * y) * K(z,y) = x * (y * K(z,y)). [para(10771(a,1),106(a,1,2))]. 10782 (x / y) * (y * K(z,y)) = x * K(z,y). [para(10771(a,1),436(a,1,2)),flip(a)]. 10783 (x * y) * (L(z,y,x) * K(u,L(z,y,x))) = (x * (y * z)) * K(u,L(z,y,x)). [para(10771(a,1),453(a,1,2)),flip(a)]. 10784 L(K(x,y),y,z) \ (y * u) = T(y,x) * u. [para(10771(a,2),5072(a,1,1))]. 10785 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,10772,a)]. 10786 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,10773,a)]. 10788 x * a(y,z,K(z \ 1,u)) != w | w = x. [para(10776(a,2),85(a,1,2))]. 10789 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(240,a,6643,a(flip),b,10775,a(flip)),flip(a)]. 10790 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(10775(a,1),106(a,1,2))]. 10791 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(240,a,8458,a,b,10786,a(flip)),flip(a)]. 10792 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(240,a,5245,a,b,10786,a(flip)),flip(a)]. 10793 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(73,a,10786,a(flip),b,2709,a)]. 10794 (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. [para(10786(a,1),760(a,1,2,1))]. 10795 K(L(x,y,z),y * x) = K(x,x * y). [hyper(240,a,6682,a(flip),b,10778,a)]. 10797 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(240,a,9059,a,b,10785,a)]. 10798 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(240,a,6263,a(flip),b,10785,a(flip))]. 10799 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(240,a,10548,a(flip),b,10795,a(flip)),flip(a)]. 10801 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10799(a,1),6273(a,1,1))]. 10802 K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). [para(10780(a,1),6476(a,1,2))]. 10803 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(10780(a,1),8116(a,1,1,1,2))]. 10804 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(7314,a,10781,a)]. 10806 (x * y) * K(y \ z,y) = x * (z / (z / y)). [para(4735(a,2),10781(a,2,2))]. 10807 (x * y) * K(z,y) = x * ((z * y) / z). [para(4776(a,2),10781(a,2,2))]. 10808 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(10781(a,1),5918(a,1,1))]. 10810 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(10781(a,1),7563(a,1,2))]. 10811 T(a(x,y,y \ 1) * (z * K(x,z)),x) = a(x,y,y \ 1) * z. [para(10781(a,1),10383(a,1,1))]. 10818 R(x,K(y,z),z) = x. [hyper(3212,a,10804,a)]. 10819 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(240,a,9307,a(flip),b,10804,a(flip))]. 10820 (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) != w | L(u,y * K(z,u),x) = w. [para(10804(a,1),449(a,1,2,2))]. 10821 x \ (y * (x * K(z,x))) != u * w | T(u,w) = w \ T(y * K(z,x),x). [para(10804(a,1),692(a,1,2))]. 10822 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(4768(a,1),10804(a,1,1)),flip(a)]. 10823 (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). [para(10804(a,1),5929(a,1,1))]. 10824 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5929(a,1),10804(a,1,1)),flip(a)]. 10825 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(10804(a,1),6005(a,1,1))]. 10826 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(8456(a,2),10804(a,1,1))]. 10827 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). [para(10804(a,1),9932(a,1,2,1))]. 10828 R(x,K(y,z),T(z,u)) = x. [para(7163(a,1),10818(a,1,2))]. 10829 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(7126,a,10828,a)]. 10830 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(10828(a,1),118(a,1,1)),flip(a)]. 10831 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(10807(a,1),5918(a,1,1))]. 10832 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(10779(a,1),327(a,1)),flip(b)]. 10833 T(L(K(x,y),x,z),x * u) = (x * u) \ (T(x,y) * u). [hyper(401,a,10784,a(flip),b,6650,a(flip))]. 10834 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10789(a,1),4800(a,2,2))]. 10835 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5178(a,1),10832(a,1,2,1,1))]. 10836 L(K(x,y),y,z) != u | K(x,y) = u. [para(10779(a,2),10832(a,1))]. 10837 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6263(a,1),10836(a,1))]. 10838 K((1 / x) * y,y) != z | K(x \ y,y) = z. [para(6269(a,1),10836(a,1))]. 10839 K(x * (1 / y),x) != z | K(y \ x,x) = z. [para(6469(a,1),10838(a,1))]. 10840 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5262(a,1),10839(a,1))]. 10841 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6668,a,10758,a)]. 10842 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6659(a,1),10758(a,1,1))]. 10843 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(10793(a,1),2854(a,2,2))]. 10845 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(75,a,10808,a(flip),b,118,a)]. 10846 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(10808(a,1),4950(a,1,2))]. 10847 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(4776(a,2),10822(a,1,2))]. 10848 (x * T(y,K(z,u))) * K(z,u) = (x * y) * K(z,T(u,y)). [para(7552(a,1),10824(a,1,2)),flip(a)]. 10849 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (x * T(y,x)) * R(z,x,T(y,x)). [hyper(240,a,792,a(flip),b,10831,a)]. 10850 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(10841(a,1),20(a,1)),flip(a)]. 10851 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(6268(a,1),10841(a,1,1))]. 10853 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(240,a,4800,a,b,10834,a)]. 10854 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(240,a,8734,a(flip),b,10853,a)]. 10855 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10761(a,1),5382(a,2,2))]. 10856 R(x,y,K(y \ 1,z)) = x. [hyper(4689,a,10790,a)]. 10857 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(5152(a,1),10790(a,2,2))]. 10858 R(x,y \ z,K(y / z,u)) = x. [para(7663(a,1),10856(a,1,3))]. 10859 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(10858(a,1),468(a,1,1))]. 10860 R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). [hyper(18,a,312,a,b,10857,a),flip(a)]. 10861 R(x,y,y \ K(y,z)) = R(x,y,y \ 1). [hyper(240,a,203,a(flip),b,10860,a)]. 10863 R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). [para(4992(a,1),10861(a,1,3)),flip(a)]. 10864 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(240,a,8414,a(flip),b,10798,a)]. 10866 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),10864(a,1,1,1)),flip(a)]. 10867 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(240,a,6474,a(flip),b,10866,a(flip)),flip(a)]. 10868 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8067,a,10867,a)]. 10869 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3076(a,1),10829(a,1,2)),flip(a)]. 10870 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5060(a,1),10829(a,1,2)),flip(a)]. 10871 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5061(a,1),10829(a,1,2)),flip(a)]. 10872 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(10729,a,10870,a)]. 10873 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(10871(a,1),7750(a,1,1,2))]. 10874 L(T(x,y),K(z,x),u) = T(x,y). [hyper(438,a,10830,a)]. 10875 (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). [para(3197(a,2),10830(a,2,2))]. 10876 L(T(x,K(y,x)),K(z,x),u) = x. [hyper(240,a,3190,a(flip),b,10874,a)]. 10878 L(x,K(y,x),z) = x. [para(1398(a,1),10876(a,1,1))]. 10879 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(10878(a,1),44(a,1,1)),flip(a)]. 10881 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(10879(a,1),3233(a,1,2,2)),flip(a)]. 10882 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(240,a,10181,a(flip),b,10859,a(flip))]. 10883 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),y \ 1). [hyper(240,a,4897,a,b,10863,a(flip)),flip(a)]. 10884 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,T(y,z),y \ 1). [hyper(73,a,10863,a(flip),b,679,a),flip(a)]. 10885 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(2166(a,2),10770(a,1))]. 10886 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6273(a,1),10770(a,1,2))]. 10887 L(T(K(x,y),x * z),x,u) = (x * z) \ (T(x,y) * z). [hyper(240,a,40,a,b,10833,a(flip)),flip(a)]. 10888 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9626(a,1),10872(a,1,2))]. 10889 L(x,y,x) \ x = a(x,y,x). [hyper(17,a,6715,a,b,10888,a),flip(a)]. 10890 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),10888(a,1,1)),flip(a)]. 10891 L(x,y,x) \ x = x \ R(x,y,x). [hyper(240,a,9625,a,b,10889,a)]. 10892 L(x,y,x) * a(x,y,x) = x. [para(10889(a,1),14(a,1,2))]. 10893 a(x,y,x) * L(x,y,x) = x. [para(10889(a,1),6699(a,1,1))]. 10894 a(x,y,x) \ x = L(x,y,x). [para(10889(a,1),6700(a,1,1))]. 10895 L(T(x,y),z,x) \ x = K(y,x) * a(x,z,x). [para(10889(a,1),7391(a,1,2)),flip(a)]. 10898 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1615,a,10890,a)]. 10899 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(10890(a,1),65(a,1,1))]. 10901 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(240,a,9162,a(flip),b,10898,a(flip)),flip(a)]. 10902 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),10898(a,1,1)),flip(a)]. 10903 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(873(a,1),10899(a,1,2))]. 10904 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9634(a,2),10899(a,1,1))]. 10905 K(x,y) * (L(T(x,y),z,T(x,y)) \ x) = a(T(x,y),z,T(x,y)). [hyper(5062,a,10901,a)]. 10906 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(240,a,8271,a,b,10901,a(flip)),flip(a)]. 10907 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(240,a,1303,a,b,10901,a(flip)),flip(a)]. 10908 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(10902(a,1),10731(a,1,2)),flip(a)]. 10909 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(10907(a,1),14(a,1,2))]. 10910 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),10907(a,1,2)),flip(a)]. 10911 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),10909(a,1,2)),flip(a)]. 10912 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1301,a,b,10911,a),flip(a)]. 10913 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(73,a,10912,a(flip),b,9163,a(flip))]. 10914 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7652(a,1),10904(a,1,2))]. 10915 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(10906(a,1),4783(a,1,2))]. 10916 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(240,a,9164,a(flip),b,10873,a(flip)),flip(a)]. 10917 R(x,T(y,z),y \ 1) = R(x,y,y \ K(y,z)). [hyper(240,a,9236,a(flip),b,10883,a(flip))]. 10918 R(x,T(y,z),y \ 1) = R(x,y,y \ 1). [hyper(240,a,10861,a(flip),b,10917,a)]. 10921 K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. [para(6659(a,1),10885(a,1,1))]. 10922 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [para(7157(a,1),10887(a,1,1))]. 10923 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(240,a,7762,a(flip),b,10916,a)]. 10924 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),10923(a,1,1,2)),flip(a)]. 10925 K(x * R(y,z,y),y) = K(y * x,y). [hyper(10358,a,10924,a)]. 10926 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(10925(a,1),4836(a,2,2,2))]. 10927 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(240,a,4836,a,b,10926,a)]. 10928 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(240,a,4800,a(flip),b,10927,a)]. 10929 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4858,a,10928,a)]. 10930 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(10278,a,10929,a)]. 10931 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(8455,a,10930,a)]. 10932 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(240,a,9430,a,b,10762,a(flip)),flip(a)]. 10933 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6655(a,1),10762(a,1,2)),flip(a)]. 10934 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(7103(a,1),10766(a,1,1)),flip(a)]. 10935 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [hyper(240,a,10875,a(flip),b,10819,a)]. 10937 (x * (y * K(z,y))) * K(y,u) = x * (T(y,u) * K(z,y)). [hyper(240,a,10875,a(flip),b,10823,a)]. 10938 (x * T(y,K(z,u))) * K(u,z) = (x * y) * K(u,T(z,y)). [para(7560(a,1),10848(a,1,1,2))]. 10939 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(10869(a,1),3640(a,1,1)),flip(a)]. 10940 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(10869(a,1),4666(a,1,2))]. 10941 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). [para(10918(a,1),10884(a,2,2))]. 10942 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [hyper(240,a,678,a(flip),b,10941,a)]. 10944 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(73,a,5178,a(flip),b,10933,a),flip(a)]. 10945 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(240,a,10932,a(flip),b,10944,a(flip))]. 10946 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(430,a,10945,a)]. 10947 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(242,a,10945,a),flip(a)]. 10948 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(240,a,10754,a,b,10945,a)]. 10949 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(10945(a,1),224(a,1,2))]. 10952 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(10946(a,1),82(a,1,1)),flip(b)]. 10954 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(10948(a,2),19(a,1))]. 10955 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(10797(a,1),327(a,1)),flip(b)]. 10957 K(x,y \ ((z \ u) \ y)) != w | K(x,T(u \ z,y)) = w. [para(7404(a,1),10955(a,1))]. 10961 K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. [para(10457(a,2),10957(a,1))]. 10962 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6279,a,10801,a),flip(a)]. 10963 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(10846(a,1),891(a,1))]. 10964 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(240,a,10596,a(flip),b,10854,a(flip)),flip(a)]. 10966 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(5644(a,1),10763(a,1,1))]. 10967 K(1 / x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7451(a,1),10764(a,1,2))]. 10968 K(x,y) * (L(T(x,y),z,x) \ x) = a(T(x,y),z,T(x,y)). [para(7052(a,1),10905(a,1,2,1))]. 10970 K(x,y) * (K(y,x) * a(x,z,x)) = a(T(x,y),z,T(x,y)). [para(10895(a,1),10968(a,1,2))]. 10971 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(5200,a,10970,a)]. 10973 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(10939(a,1),8949(a,1,2,1,1))]. 10974 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10765(a,1),5189(a,1,2))]. 10976 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(10569(a,1),10791(a,1,2,2)),flip(a)]. 10977 K(x * L(y,z,u),y) = K(y * x,y). [hyper(240,a,10792,a(flip),b,10976,a)]. 10979 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(240,a,7812,a(flip),b,10977,a(flip))]. 10981 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(10979(a,1),4777(a,1,1,2))]. 10982 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(10981(a,1),4838(a,1,1)),flip(a)]. 10983 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),10982(a,1,2,2)),flip(a)]. 10985 T(x,L(x,y,z) * (x \ u)) = T(x,u). [para(14(a,1),10983(a,2,2))]. 10989 K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). [hyper(240,a,9625,a(flip),b,10802,a)]. 10990 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [hyper(2165,a,10989,a)]. 10991 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). [para(10808(a,1),10827(a,1,2))]. 10992 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(5918(a,1),10845(a,1,2))]. 10993 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(483,a,10992,a),flip(a)]. 10994 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4813(a,1),10993(a,1,2)),flip(a)]. 10995 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7534(a,1),10993(a,1,2))]. 10996 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(10993(a,1),9738(a,1,2)),flip(a)]. 10997 R(x,y / z,z) = R(x,z \ y,z). [hyper(240,a,10044,a(flip),b,10994,a(flip))]. 11000 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(240,a,8636,a(flip),b,10997,a(flip))]. 11001 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(240,a,6444,a(flip),b,10997,a(flip))]. 11004 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(240,a,10044,a(flip),b,10995,a)]. 11006 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8400(a,1),11004(a,1,2))]. 11007 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(6964(a,2),11006(a,1,2))]. 11008 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(11007(a,1),9747(a,2,1))]. 11009 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(10850,a,10974,a)]. 11010 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6682(a,2),11009(a,1,1))]. 11011 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(220(a,1),11010(a,2,2))]. 11012 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(240,a,10795,a(flip),b,11011,a)]. 11014 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10962(a,1),11012(a,1,1))]. 11015 L(K(x,x * y),y,z) = K(x,x * y). [para(10777(a,1),11014(a,1,1))]. 11017 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(9365,a,11015,a)]. 11018 a(x,y,K(z,z * y)) = 1. [hyper(74,a,11015,a,b,10755,a),flip(a)]. 11019 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(11015(a,2),4980(a,1,2))]. 11021 a(x,y,K(z,y * z)) = 1. [para(6682(a,2),11018(a,1,3))]. 11022 a(x,y,K(z,y * z)) = u \ u. [hyper(240,a,53,a,b,11021,a)]. 11023 a(x,y,K(y * z,z)) = 1. [hyper(74,a,11022,a,b,10945,a(flip)),flip(a)]. 11024 a(x,y,K(z,y * z)) != u | 1 = u. [para(11022(a,2),158(a,1))]. 11025 a(x,y,K(z,z * y)) != u | 1 = u. [para(6682(a,1),11024(a,1,3))]. 11026 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6658,a,11019,a)]. 11027 L(K(x * y,x),y,z) = K(y * x,x). [hyper(240,a,6469,a,b,11026,a)]. 11028 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(240,a,9454,a(flip),b,11026,a(flip)),flip(a)]. 11029 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(11027(a,2),7788(a,1))]. 11030 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(10837,a,11028,a)]. 11031 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(9169,a,11028,a),flip(a)]. 11033 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(240,a,9152,a,b,11028,a(flip)),flip(a)]. 11034 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(240,a,8366,a(flip),b,11028,a(flip))]. 11036 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(11028(a,1),10990(a,1,1))]. 11037 K((x / y) \ z,y) = K(y * (x \ z),y). [para(16(a,1),11031(a,1,1,2,1)),flip(a)]. 11038 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(240,a,10550,a(flip),b,11033,a(flip))]. 11039 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(240,a,10979,a(flip),b,11034,a(flip))]. 11040 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8059,a,11039,a)]. 11041 K(x / L(y,z,u),y) = K(x / y,y). [hyper(240,a,4994,a,b,11040,a)]. 11042 K(x \ (y * L(x,z,u)),x) = K(y,x). [para(15(a,1),11040(a,1,1)),flip(a)]. 11043 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(240,a,5755,a,b,11041,a(flip)),flip(a)]. 11044 K(x * (y \ L(y,z,u)),y) = K(x,y). [hyper(10138,a,11042,a)]. 11045 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(240,a,10000,a(flip),b,11017,a(flip)),flip(a)]. 11046 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(11017(a,1),4800(a,2,2))]. 11048 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1303(a,1),11045(a,1,2))]. 11049 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(11045(a,1),6676(a,1))]. 11050 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(9454(a,1),11029(a,1))]. 11052 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(11043(a,1),1508(a,1,2))]. 11054 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(10780(a,2),11050(a,1))]. 11055 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(11046(a,2),4803(a,1))]. 11056 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(11052(a,1),5720(a,1,2,2,1,2))]. 11057 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(11052(a,1),9849(a,1,2)),flip(a)]. 11058 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11036(a,1),9649(a,1))]. 11059 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(240,a,9528,a(flip),b,11038,a)]. 11060 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8067,a,11059,a)]. 11061 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(240,a,10556,a(flip),b,11060,a(flip))]. 11062 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(240,a,9528,a,b,11061,a(flip)),flip(a)]. 11063 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(240,a,9370,a,b,11061,a(flip)),flip(a)]. 11064 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(240,a,8609,a(flip),b,11061,a(flip))]. 11065 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(240,a,9371,a,b,11063,a(flip)),flip(a)]. 11066 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9110(a,1),10803(a,1,1,1,2))]. 11067 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10044(a,1),10996(a,2,2))]. 11068 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(240,a,9738,a(flip),b,11067,a)]. 11069 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(10963,a,11068,a)]. 11070 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),11069(a,1,3))]. 11071 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(240,a,2340,a(flip),b,11070,a(flip)),flip(a)]. 11072 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(8442(a,1),10697(a,1,2)),flip(a)]. 11074 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7318,a,10855,a)]. 11075 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(135(a,1),11074(a,1,2,2))]. 11076 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10971(a,1),10903(a,1,1,2))]. 11078 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(240,a,9618,a(flip),b,11071,a(flip)),flip(a)]. 11079 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(240,a,10536,a,b,11078,a(flip)),flip(a)]. 11080 (x * (y * z)) * K(u,L(z,y,x)) = (x * y) * L(z * K(u,z),y,x). [para(5447(a,1),10783(a,1,2)),flip(a)]. 11081 (x * (y * z)) * K(u,L(z,y,x)) = x * (y * (z * K(u,z))). [hyper(240,a,106,a(flip),b,11080,a)]. 11083 ((x * (y * z)) / T(L(z,y,x),u)) \ (x * (y * (z * K(u,z)))) = L(z,y,x). [hyper(73,a,11081,a(flip),b,7179,a)]. 11084 (x * (y * z)) * K(y,z) = x * (y * (z * K(y,z))). [para(10053(a,1),11081(a,1,2))]. 11085 (x * (y * z)) * K(y,z) = x * (T(y,z) * z). [para(4828(a,1),11084(a,2,2))]. 11086 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(10794,a,10934,a)]. 11087 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(10760(a,1),11086(a,1,2)),flip(a)]. 11088 a(x,y,a(z,u,K(y,w))) = 1. [hyper(72,a,11087,a(flip),b,94,a),flip(a)]. 11089 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7600(a,1),11088(a,1,3,3))]. 11090 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7886(a,1),10914(a,1,1))]. 11091 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(240,a,9497,a(flip),b,11008,a)]. 11092 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7142(a,1),11091(a,1,1,2))]. 11093 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7611(a,1),11092(a,1,2))]. 11094 (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(8776(a,2),11093(a,1,1))]. 11095 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7652(a,1),11090(a,1,1,2,1))]. 11096 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [hyper(240,a,13,a(flip),b,10843,a)]. 11098 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(11096(a,1),14(a,1,2))]. 11099 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(11098(a,1),6390(a,1,2))]. 11100 K(x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7975(a,1),10967(a,1,1))]. 11101 K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). [para(7967(a,1),11100(a,1,2))]. 11102 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(1 / y,K(x,z))). [para(7487(a,1),11101(a,1,1))]. 11103 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(7964(a,1),11102(a,2,3))]. 11104 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11103(a,1),5696(a,1))]. 11105 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8228(a,1),11066(a,1,1,1,2)),flip(a)]. 11106 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1904(a,1),11105(a,2,1))]. 11107 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(240,a,7629,a(flip),b,11106,a)]. 11108 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(240,a,8435,a(flip),b,11107,a(flip)),flip(a)]. 11109 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(8234,a,11108,a)]. 11110 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),11109(a,1,2,2,1)),flip(a)]. 11111 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(240,a,7465,a,b,11110,a),flip(a)]. 11112 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(240,a,9172,a(flip),b,11110,a(flip)),flip(a)]. 11113 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(240,a,8694,a,b,11112,a(flip)),flip(a)]. 11114 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(240,a,10483,a(flip),b,11112,a(flip))]. 11115 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),11112(a,1,2,2,2)),flip(a)]. 11116 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),11113(a,1,2,2,2))]. 11117 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(240,a,8035,a,b,11116,a)]. 11118 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(8084,a,11117,a),flip(a)]. 11119 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(13(a,1),11114(a,1,2,2))]. 11120 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(240,a,7041,a(flip),b,11119,a(flip)),flip(a)]. 11124 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(240,a,7213,a(flip),b,11120,a)]. 11125 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(16(a,1),11124(a,1,2,2,1)),flip(a)]. 11126 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(11125(a,1),4800(a,2,2))]. 11127 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(240,a,4800,a,b,11126,a)]. 11128 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(240,a,9051,a(flip),b,11127,a(flip))]. 11129 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(17,a,7465,a,b,11111,a),flip(a)]. 11131 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8001,a,11129,a)]. 11132 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(240,a,8841,a,b,11129,a(flip)),flip(a)]. 11133 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(240,a,9214,a,b,11131,a(flip)),flip(a)]. 11134 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(8847,a,11132,a)]. 11135 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(11134(a,1),7970(a,1,2)),flip(a)]. 11136 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7532,a,11133,a)]. 11138 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(60(a,1),11128(a,1,2,2))]. 11139 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(124(a,1),11138(a,1,2)),flip(a)]. 11140 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(240,a,10964,a(flip),b,11139,a)]. 11141 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(240,a,8997,a(flip),b,11140,a(flip)),flip(a)]. 11142 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),11141(a,1,2,1)),flip(a)]. 11143 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(240,a,8793,a(flip),b,11142,a(flip)),flip(a)]. 11144 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(240,a,8994,a(flip),b,11143,a)]. 11145 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(240,a,8752,a(flip),b,11144,a(flip)),flip(a)]. 11146 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(11055,a,11145,a),flip(a)]. 11147 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(240,a,9378,a(flip),b,11146,a(flip))]. 11148 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(11147(a,1),5060(a,1,2))]. 11149 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(240,a,7459,a(flip),b,11135,a)]. 11150 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8203,a,11149,a)]. 11151 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),11150(a,1,2,2)),flip(a)]. 11152 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(11151(a,1),4801(a,1,2,1))]. 11153 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5016,a,11152,a),flip(a)]. 11154 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(240,a,8322,a(flip),b,11153,a)]. 11155 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8329,a,11154,a)]. 11156 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9498(a,1),11155(a,1,2))]. 11157 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(240,a,9532,a(flip),b,11156,a(flip))]. 11158 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(240,a,8325,a(flip),b,11157,a(flip))]. 11159 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7489,a,11158,a)]. 11160 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(240,a,9405,a(flip),b,11159,a(flip)),flip(a)]. 11161 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(240,a,9086,a(flip),b,11160,a)]. 11163 K(x,K(y,a(z,x,u))) = 1. [para(176(a,1),11161(a,1,2,2,3))]. 11165 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11163(a,1),7454(a,1,2)),flip(a)]. 11166 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(240,a,12,a(flip),b,11165,a)]. 11167 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8021,a,11166,a)]. 11168 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(11167(a,1),7879(a,1,1))]. 11169 (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(6964(a,2),10614(a,2,1,1))]. 11170 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = K(y \ (z * x),T(y / z,x \ y)). [hyper(240,a,6964,a,b,10658,a)]. 11171 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(8184,a,10659,a)]. 11172 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). [para(122(a,1),10849(a,2,1))]. 11173 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). [para(10044(a,1),11172(a,2,2))]. 11174 ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(122(a,1),11173(a,1,1,1,1,1))]. 11175 ((((x * y) * z) / (x * y)) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(122(a,1),11174(a,1,1,1,2))]. 11176 ((((x * y) * z) / (y * x)) * y) * x = (x * y) * R(z,y,x). [para(9948(a,1),11175(a,1,1))]. 11177 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(240,a,9934,a(flip),b,10881,a)]. 11179 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(618(a,1),11177(a,2,2,2))]. 11180 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(152(a,1),11179(a,2,2))]. 11182 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(240,a,12,a(flip),b,11180,a)]. 11184 R(x,K(y,z),R(z,u,w)) = x. [para(10879(a,1),11182(a,1,3))]. 11185 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(7126,a,11184,a)]. 11187 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(6651(a,1),10966(a,1,2))]. 11188 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(5644(a,1),11187(a,2,3))]. 11189 (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(7153(a,1),11169(a,2,1))]. 11190 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(240,a,10719,a(flip),b,11189,a)]. 11193 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(6775(a,2),11190(a,1,1))]. 11194 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7700(a,1),11193(a,1,2,2))]. 11195 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),11194(a,1,2))]. 11196 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5193,a,11195,a)]. 11197 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6786(a,1),11196(a,1,1))]. 11198 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(240,a,6888,a(flip),b,11197,a)]. 11199 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(240,a,6805,a(flip),b,11198,a(flip)),flip(a)]. 11200 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(11199(a,1),5621(a,1,1,1,2))]. 11201 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4800(a,2),11200(a,1,1,1))]. 11202 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5692,a,11201,a)]. 11203 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(11202(a,1),9868(a,1,1))]. 11204 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(9452(a,1),11203(a,1,1,2,2))]. 11205 (x \ y) \ (((y / z) * (x / (y / z))) \ y) = K(y \ (z * x),T(y / z,x \ y)). [para(459(a,1),11170(a,1,2))]. 11206 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,T(x / y,x)). [hyper(9672,a,11205,a),flip(a)]. 11207 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,y \ x). [hyper(240,a,6967,a(flip),b,11206,a)]. 11208 K(x \ (y * z),T(x / y,z \ x)) = K(x \ (y * z),y \ x). [hyper(240,a,10149,a(flip),b,11207,a)]. 11209 ((x * y) * (z * K(u,z \ 1))) / (y * (z * K(u,z \ 1))) = R(R(x,y,z),y * z,K(u,z \ 1)). [para(6603(a,1),6606(a,1,2))]. 11210 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5294(a,1),8176(a,1,1,2))]. 11211 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(7937(a,1),11210(a,1,1))]. 11212 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(17,a,9793,a(flip),b,11211,a)]. 11214 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(240,a,3465,a(flip),b,11212,a(flip)),flip(a)]. 11218 L(a(x,y,z),x * (y * z),K(z,T(y,x))) = (x * (z * y)) \ ((x * y) * T(z,y)). [para(10253(a,1),8310(a,1,1)),flip(a)]. 11219 L(a(x,y,z),x * (y * z),K(z,T(y,x))) != u | a(x,y,T(z,y)) = u. [para(11218(a,2),891(a,1))]. 11220 (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(4779(a,1),8470(a,1,1))]. 11221 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(669,a,11220,a),flip(a)]. 11222 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11220(a,1),669(a,1))]. 11223 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5057(a,1),11221(a,1,2)),flip(a)]. 11224 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(240,a,7872,a(flip),b,8765,a)]. 11225 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(7094(a,1),8963(a,2,2,1,2))]. 11226 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(8705,a,9299,a(flip)),flip(a)]. 11227 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(273(a,1),11226(a,2,1,2))]. 11228 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1607(a,1),11227(a,1,2)),flip(a)]. 11229 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6278,a,11228,a)]. 11230 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(240,a,6263,a(flip),b,11228,a(flip))]. 11231 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(240,a,10977,a(flip),b,11229,a(flip))]. 11233 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(240,a,6470,a(flip),b,11231,a)]. 11234 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(11231(a,2),10840(a,1))]. 11235 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11233(a,1),9346(a,1,1,2))]. 11236 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(11234,a,11230,a),flip(a)]. 11238 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(240,a,11030,a(flip),b,11236,a)]. 11239 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(106(a,1),11238(a,1,1,2))]. 11240 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(9186,a,11239,a)]. 11241 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(240,a,8374,a(flip),b,11239,a(flip)),flip(a)]. 11242 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(240,a,11064,a,b,11241,a(flip)),flip(a)]. 11243 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(240,a,11031,a(flip),b,11240,a)]. 11244 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(240,a,9448,a(flip),b,11243,a(flip)),flip(a)]. 11245 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11244(a,2,1))]. 11246 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(10566,a,11245,a),flip(a)]. 11248 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10134,a,11246,a)]. 11249 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11246(a,1),10134(a,1))]. 11250 K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). [hyper(10250,a,11248,a)]. 11251 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10249,a,11248,a)]. 11252 K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). [hyper(6324,a,11248,a)]. 11253 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(6323,a,11248,a)]. 11254 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6279,a,11248,a),flip(a)]. 11255 K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). [hyper(5798,a,11248,a)]. 11256 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(240,a,4977,a,b,11248,a),flip(a)]. 11257 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(240,a,10757,a,b,11248,a(flip)),flip(a)]. 11258 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(240,a,6703,a,b,11248,a(flip)),flip(a)]. 11259 K(x,L(y,z / y,u)) = K(x,L(y,z,u)). [hyper(240,a,6657,a,b,11248,a(flip)),flip(a)]. 11260 K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). [hyper(240,a,6670,a(flip),b,11248,a(flip))]. 11261 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(240,a,6643,a(flip),b,11248,a(flip))]. 11262 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(240,a,6262,a(flip),b,11248,a(flip))]. 11263 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11248(a,1),106(a,1,2))]. 11264 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(454(a,1),11248(a,2,2))]. 11266 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(11248(a,1),1315(a,1,2,1))]. 11267 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11248(a,2),4800(a,2,2)),flip(a)]. 11268 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6111(a,1),11248(a,1,1)),flip(a)]. 11269 K(x,L((y * z) \ y,u,w)) = L(K(x,z \ 1),u,w). [para(6115(a,1),11248(a,1,1)),flip(a)]. 11270 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11248(a,1),6380(a,1))]. 11271 L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). [para(6977(a,1),11248(a,1,1))]. 11272 x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). [para(11248(a,1),6995(a,2,1))]. 11273 K(x,L(L(y,z,y),u,w)) = L(K(x,y),u,w). [para(9112(a,1),11248(a,1,1)),flip(a)]. 11274 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11248(a,1),9363(a,1))]. 11275 K(x,L(T((y / z) \ 1,u),w,v5)) = L(K(x,T(z / y,u)),w,v5). [para(9467(a,1),11248(a,1,1)),flip(a)]. 11276 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11248(a,1),10202(a,1,2))]. 11277 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11248(a,1),10755(a,1,2))]. 11278 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11248(a,1),10758(a,1,1))]. 11279 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11248(a,1),10885(a,1,1))]. 11280 a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(11248(a,1),10933(a,1,2,1))]. 11281 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11256(a,1),4999(a,1))]. 11282 K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. [para(8391(a,1),11249(a,1))]. 11283 K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. [para(5640(a,1),11281(a,1))]. 11285 K((x * (y / z)) \ (x * y),u) != w | K(z,L(u,y,x)) = w. [para(6265(a,2),11281(a,1))]. 11286 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6703(a,2),11281(a,1))]. 11287 K(x,L(y,y \ z,u)) != w | K(x,L(y,z,u)) = w. [para(8608(a,2),11281(a,1))]. 11288 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(10757(a,2),11281(a,1))]. 11289 K(x,L(L(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11273(a,2),11281(a,1))]. 11290 K(x \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). [para(11255(a,1),4809(a,2,1)),flip(a)]. 11291 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(240,a,10754,a(flip),b,11257,a(flip)),flip(a)]. 11292 L(x,y,z) * K(u,L(x \ 1,y,z)) = T(1 / L(x,y,z),u) \ 1. [para(11261(a,2),7281(a,2,2)),flip(a)]. 11293 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,((z * (y / z)) \ (z * u)) \ 1). [para(10208(a,1),11261(a,2,2,1))]. 11294 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(7110,a,11277,a)]. 11295 a(x,y,K(z,u)) * w != K(z,u) | K(z,L(u,y,x)) = w. [para(11277(a,1),19(a,1)),flip(a)]. 11296 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(11277(a,1),20(a,1)),flip(a)]. 11298 a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. [para(11277(a,1),10949(a,1,2)),flip(b)]. 11299 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(10921,a,11278,a)]. 11300 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [hyper(5191,a,11278,a)]. 11302 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11278(a,1),2165(a,1))]. 11303 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11278(a,1),4779(a,1,2)),flip(a)]. 11304 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7491(a,2),11299(a,1,3))]. 11305 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(10886,a,11294,a)]. 11306 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,10753,a,b,11294,a),flip(a)]. 11307 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11294(a,1),7187(a,1,2)),flip(a)]. 11308 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(11294(a,1),10886(a,1))]. 11309 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11281,a,11306,a),flip(a)]. 11310 (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). [para(11306(a,1),106(a,1,2))]. 11311 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(456(a,1),11306(a,2,1))]. 11312 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11306(a,1),11281(a,1))]. 11313 K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). [hyper(8086,a,11309,a),flip(a)]. 11314 K(L(x,y,z),u) * w = K(x,L(u,y,z)) * w. [hyper(22,a,11309,a)]. 11315 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(240,a,11254,a,b,11309,a(flip)),flip(a)]. 11316 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(240,a,11246,a(flip),b,11309,a(flip))]. 11317 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(240,a,10213,a(flip),b,11309,a(flip))]. 11318 K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). [para(235(a,1),11309(a,1,1)),flip(a)]. 11319 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(456(a,1),11309(a,1,1)),flip(a)]. 11320 K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). [para(454(a,1),11309(a,1,1)),flip(a)]. 11321 K(x,L(y,z,u)) * L(x,z,u) = T(L(x,z,u),y). [para(11309(a,1),4809(a,2,1)),flip(a)]. 11322 K(x,L(T(y,z),u,z / (u * x))) != w | K(z / ((z / (u * x)) * u),y) = w. [para(11309(a,1),8047(a,1))]. 11323 K(T(x,y) \ z,L(u,x,y)) = K((x * y) \ (y * z),u). [para(10198(a,1),11309(a,1,1)),flip(a)]. 11324 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(240,a,11278,a,b,11305,a),flip(a)]. 11325 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),11305(a,1,2))]. 11326 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11305(a,1),11075(a,2,2))]. 11327 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11315(a,1,2,2))]. 11328 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11254(a,2),11312(a,1))]. 11329 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10136(a,1),11327(a,2,2))]. 11330 K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K((y * x) \ z,L(u,z,y \ 1)). [hyper(240,a,5718,a(flip),b,11253,a(flip)),flip(a)]. 11331 K((x \ 1) \ y,L(z,y,x)) = K(x * y,z). [para(129(a,1),11253(a,1,1)),flip(a)]. 11333 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [hyper(240,a,5746,a(flip),b,11331,a(flip)),flip(a)]. 11334 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(6376,a,11260,a(flip)),flip(a)]. 11336 (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). [hyper(7317,a,11263,a)]. 11337 ((x * y) / z) \ (x * (y * K(z,u))) = T(z,L(u,y,x)). [hyper(73,a,11263,a(flip),b,5928,a)]. 11338 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11263(a,1),19(a,1)),flip(a)]. 11340 (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(1071(a,1),11263(a,1,1))]. 11341 (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). [para(6603(a,1),11263(a,2,2))]. 11345 L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). [hyper(240,a,10137,a,b,11311,a)]. 11347 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(456(a,1),11319(a,1,2))]. 11348 K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. [para(14(a,1),11328(a,1,2,2))]. 11349 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11268(a,2),11281(a,1))]. 11350 K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). [hyper(240,a,11248,a(flip),b,11269,a)]. 11351 K(x,L((y * z) \ y,u,w)) != v5 | K(x,L(z \ 1,u,w)) = v5. [para(11269(a,2),11281(a,1))]. 11352 K(x,L(L(y,z,u),w,y)) != v5 | K(x,L(y,z,u)) = v5. [para(45(a,1),11289(a,1,2))]. 11353 (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(4231(a,1),11307(a,1,1))]. 11354 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),11347(a,1,2)),flip(a)]. 11355 K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). [hyper(240,a,11260,a(flip),b,11350,a(flip)),flip(a)]. 11356 K(x,L(y \ 1,z * y,u)) = K(x,(u * (z * y)) \ (u * z)). [para(108(a,1),11350(a,1,2)),flip(a)]. 11357 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),11354(a,1,1)),flip(a)]. 11358 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(240,a,9251,a(flip),b,11258,a(flip))]. 11359 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(11324(a,1),11279(a,1))]. 11361 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(8320(a,2),11282(a,1))]. 11362 K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(398(a,1),11313(a,2,1))]. 11364 (x * y) / T(L(z,y / z,x),u) = x * ((y / z) * K(u,z)). [para(16(a,1),11336(a,1,1,2))]. 11365 (x * (y * K(z,u))) \ (x * (y * (u * K(z,u)))) = L(u,y,x). [para(11336(a,1),11083(a,1,1))]. 11366 (x * (y * z)) \ ((x * y) * (z * K(a(x,y,z),u))) = T(a(x,y,z),L(u,z,x * y)). [para(140(a,1),11337(a,1,1))]. 11367 T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z * u,y)))). [para(831(a,1),11337(a,2,2)),flip(a)]. 11368 K(x,L(T(y,z) \ 1,u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11281,a,11271,a),flip(a)]. 11369 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11326(a,1),9066(a,2,2))]. 11370 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(73,a,11333,a(flip),b,2271,a)]. 11371 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L(T((y / z) \ 1,1),u,w)). [hyper(10567,a,11368,a),flip(a)]. 11372 K(x \ y,L(T(z,u),y,x \ u)) = K(((u / x) * y) / u,z). [hyper(240,a,11327,a,b,11317,a(flip)),flip(a)]. 11374 L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). [para(9181(a,1),11345(a,1,1))]. 11376 K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). [hyper(240,a,11355,a(flip),b,11356,a)]. 11377 (x * y) / T(L(z,z \ y,x),u) = x * ((y / z) * K(u,z)). [para(10131(a,1),11364(a,1,2,1))]. 11378 L(x,y * K(z,x),u) = L(x,y,u). [hyper(10820,a,11365,a)]. 11380 L(x,K(x,y) * z,u) = L(x,z,u). [para(7100(a,1),11378(a,1,2)),flip(a)]. 11384 L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). [para(7600(a,1),11380(a,1,2,1))]. 11385 L(T(x,y),T(x,z) \ u,w) = L(T(x,y),x \ u,w). [para(5057(a,1),11384(a,1,2)),flip(a)]. 11386 (x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x). [hyper(240,a,4894,a(flip),b,11385,a(flip)),flip(a)]. 11391 (((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(11386(a,1),6620(a,1,2,1)),flip(a)]. 11392 (x * y) / T(L(z,z \ y,x),u) = x * (y / T(z,u)). [para(7104(a,1),11377(a,2,2))]. 11393 K(x,L(y,z \ u,z)) != w | K((z * ((z \ u) / x)) \ u,y) = w. [para(65(a,1),11270(a,1,1))]. 11394 K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. [para(6018(a,1),11270(a,1))]. 11395 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11327(a,1),11270(a,1))]. 11396 K(x,L(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. [para(11275(a,2),11281(a,1))]. 11397 K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(678(a,1),11362(a,1,1,1))]. 11398 K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). [para(3022(a,1),11290(a,1,1))]. 11399 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(240,a,11065,a(flip),b,11358,a(flip)),flip(a)]. 11400 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6031(a,1),11235(a,1,1,2)),flip(a)]. 11401 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(240,a,5918,a(flip),b,11400,a)]. 11402 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1299(a,1),11401(a,1,1))]. 11403 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11402(a,1),9677(a,2,2))]. 11404 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(240,a,5921,a(flip),b,11403,a)]. 11407 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L((y / z) \ 1,u,w)). [para(150(a,1),11371(a,2,2,1))]. 11408 K(x,L(T(y / z,z \ y),u,w)) = K(x,L((z / y) \ 1,u,w)). [hyper(11396,a,11407,a)]. 11409 K(x,L((y / z) \ 1,u,w)) = K(x,L(z / y,u,w)). [para(208(a,1),11408(a,1,2,1)),flip(a)]. 11410 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). [hyper(240,a,6111,a(flip),b,11293,a)]. 11411 (x * (y * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). [para(11376(a,1),11341(a,1,2))]. 11412 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(5183(a,1),11266(a,1,2))]. 11413 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(11309(a,1),11412(a,1,2,1))]. 11414 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4815(a,1),11413(a,1,2))]. 11415 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11303(a,1),11414(a,1,2)),flip(a)]. 11416 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(240,a,11062,a(flip),b,11329,a(flip))]. 11417 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11404(a,1),11369(a,1,2))]. 11418 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(240,a,6884,a(flip),b,11417,a(flip))]. 11419 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [hyper(240,a,11314,a(flip),b,11418,a)]. 11420 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(240,a,11278,a(flip),b,11419,a)]. 11421 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(242,a,11420,a)]. 11423 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11421(a,1,3,1)),flip(a)]. 11424 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4993(a,1),11421(a,1,3)),flip(a)]. 11425 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6018(a,1),11421(a,1,3))]. 11426 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10031(a,2),11421(a,1,3))]. 11427 a(x,y,K(z \ (u * w),u \ z)) = a(x,y,K(w,u \ z)). [para(10029(a,1),11421(a,1,3))]. 11428 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11423(a,2),10948(a,1,1))]. 11429 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(11424(a,1),11415(a,2,2,2))]. 11430 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(10954,a,11428,a)]. 11431 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(240,a,11425,a,b,11430,a(flip)),flip(a)]. 11432 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11430(a,1,3,2)),flip(a)]. 11433 a(x,y,K(z,y)) != u | 1 = u. [para(11430(a,1),11025(a,1))]. 11434 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(5845(a,1),11432(a,1,3))]. 11435 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(240,a,11431,a(flip),b,11434,a(flip))]. 11436 a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)). [para(3022(a,1),11435(a,1,3)),flip(a)]. 11437 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6019(a,1),11435(a,1,3))]. 11438 a(x,y,K(y \ z,u)) = a(x,z,K(u,z \ y)). [hyper(240,a,11325,a(flip),b,11437,a)]. 11439 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(L(u,y \ z,y),w)). [para(107(a,1),11438(a,1,3,1)),flip(a)]. 11440 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(240,a,11242,a(flip),b,11416,a)]. 11441 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11286,a,11440,a)]. 11442 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(240,a,11062,a(flip),b,11441,a(flip)),flip(a)]. 11443 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(240,a,11399,a(flip),b,11442,a(flip)),flip(a)]. 11444 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11443(a,2,1,2))]. 11445 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(240,a,11037,a(flip),b,11444,a(flip)),flip(a)]. 11446 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11445(a,1),5184(a,1,2,1)),flip(a)]. 11447 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(11445(a,1),11203(a,1,1,2,2))]. 11448 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(240,a,5184,a(flip),b,11446,a)]. 11449 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(240,a,5072,a(flip),b,11429,a)]. 11450 T(x,(y * (z * u)) \ (y * z)) = ((z * u) / x) \ (z * (u * K(x,L(u \ 1,z,y)))). [para(11376(a,1),11367(a,2,2,2,2))]. 11451 T(x,L(L(y \ 1,z,u),y,z)) = T(x,(u * (z * y)) \ (u * z)). [hyper(240,a,11337,a(flip),b,11450,a),flip(a)]. 11452 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),9421(a,1,2,1)),flip(a)]. 11454 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(6964(a,2),11452(a,2,2))]. 11455 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(240,a,7170,a(flip),b,11454,a)]. 11456 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(240,a,7995,a(flip),b,11455,a(flip))]. 11458 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11456(a,2),8077(a,1))]. 11459 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,K(x,y) * z)). [para(7560(a,1),9970(a,2,2))]. 11460 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(240,a,4433,a(flip),b,10240,a)]. 11461 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(240,a,1319,a(flip),b,11460,a)]. 11462 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1430(a,1),11461(a,1,2))]. 11463 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(73,a,4638,a(flip),b,11462,a)]. 11464 (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(4075(a,1),10518(a,1,1))]. 11465 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(7012(a,1),10589(a,2,2))]. 11466 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(7644(a,1),10648(a,1,1))]. 11467 K(x,K(y,T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(7484(a,1),11466(a,1,1))]. 11468 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(240,a,5524,a(flip),b,10657,a)]. 11469 ((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(5183(a,1),10715(a,1,1,1))]. 11470 R(R(x,y,z),y * z,K(u,z \ 1)) != w | R(x,y,z * K(u,z \ 1)) = w. [para(11209(a,1),483(a,1))]. 11471 ((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(7042(a,1),11225(a,1,2,1)),flip(a)]. 11472 ((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(6964(a,2),11471(a,2,2))]. 11473 ((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(240,a,7487,a,b,11472,a)]. 11474 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). [para(10332(a,1),11473(a,2,2))]. 11475 (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(7611(a,1),11464(a,1,1,2))]. 11476 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8584,a,11475,a),flip(a)]. 11477 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9107(a,1),11476(a,1,1))]. 11478 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(240,a,6358,a(flip),b,11477,a(flip)),flip(a)]. 11480 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(240,a,6069,a(flip),b,11478,a)]. 11481 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(240,a,9965,a,b,11480,a(flip)),flip(a)]. 11482 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(8048,a,11481,a)]. 11483 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(240,a,11233,a(flip),b,11482,a)]. 11485 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(62(a,1),11468(a,2,2,1,2))]. 11486 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(6111(a,1),11485(a,1,2,1,1,2,1))]. 11487 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(240,a,10005,a(flip),b,11486,a(flip))]. 11488 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2280(a,1),11469(a,1,1,2)),flip(a)]. 11489 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7006(a,1),11488(a,2,1))]. 11490 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(240,a,8834,a,b,11489,a)]. 11491 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2283(a,1),11490(a,1,1,1))]. 11492 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5183(a,1),11491(a,1,1))]. 11493 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(240,a,2085,a(flip),b,5540,a(flip))]. 11495 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6699(a,1),11493(a,1,1,2,1,2))]. 11496 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(4780(a,1),6248(a,2,2))]. 11497 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(240,a,6000,a(flip),b,11496,a)]. 11499 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(240,a,10207,a(flip),b,11497,a(flip)),flip(a)]. 11500 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(11281,a,11499,a)]. 11501 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(240,a,11357,a(flip),b,11500,a(flip)),flip(a)]. 11502 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1648(a,2),11501(a,1,2))]. 11503 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(10199(a,1),11502(a,1,2))]. 11504 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7246,a,8406,a),flip(a)]. 11505 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(4924(a,1),11504(a,1,2)),flip(a)]. 11506 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),8415(a,1,1,1)),flip(a)]. 11508 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1711(a,2),9646(a,1,2,2))]. 11509 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(240,a,1202,a(flip),b,10594,a)]. 11510 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),11509(a,2,3))]. 11511 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(106(a,1),11508(a,1,2)),flip(a)]. 11512 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. [para(4780(a,1),6257(a,2,1))]. 11513 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. [para(10337(a,1),11512(a,2,1))]. 11514 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. [para(9026(a,1),11513(a,2,1,2))]. 11515 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = K(z / y,(z \ y) * x). [hyper(240,a,7098,a(flip),b,11514,a)]. 11516 K((x * (y / z)) \ x,T(x * (y / z),x)) = K(z / y,(z \ y) * x). [hyper(7296,a,11515,a)]. 11518 K((x * (y / z)) \ x,(y / z) * x) = K(z / y,(z \ y) * x). [hyper(10296,a,11516,a)]. 11519 K((x / y) \ 1,(x / y) * z) = K(y / x,(y \ x) * z). [hyper(6162,a,11518,a)]. 11520 K((x / y) \ 1,z * (x / y)) = K(y / x,(y \ x) * z). [hyper(10291,a,11519,a)]. 11522 ((x / y) \ 1) * (z / ((x / y) \ 1)) = z * K(y / x,(y \ x) * z). [para(11519(a,1),9021(a,2,2))]. 11523 K(x / y,(x \ y) * z) = K(x / y,z * (y / x)). [hyper(5597,a,11520,a),flip(a)]. 11524 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(240,a,9581,a(flip),b,6541,a(flip))]. 11526 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4798(a,1),7258(a,1,2,2,1))]. 11528 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(10847(a,1),11526(a,1,2,2))]. 11529 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(163,a,11528,a)]. 11530 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),11529(a,2,1))]. 11531 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(73,a,3276,a(flip),b,11530,a)]. 11532 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(8255(a,1),8428(a,1,1,1))]. 11533 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1069(a,1),9017(a,2,1))]. 11534 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(240,a,11533,a(flip),b,9018,a(flip))]. 11535 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1069(a,1),11534(a,1,1)),flip(a)]. 11536 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(11448(a,1),11447(a,1,2,1,1))]. 11537 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(240,a,11203,a(flip),b,11536,a(flip))]. 11538 a(T(x,y),K(y,x) * z,L(u,z,K(y,x))) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). [para(5082(a,1),5181(a,1,2,1)),flip(a)]. 11540 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4815(a,1),5795(a,1,2))]. 11541 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11540(a,1),11136(a,1,2,2))]. 11542 (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(240,a,10825,a(flip),b,6372,a)]. 11543 (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(240,a,10688,a(flip),b,11542,a)]. 11544 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9740(a,1),11543(a,2,2))]. 11545 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6006(a,1),11544(a,1,1))]. 11546 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6369(a,1),11545(a,1,2))]. 11547 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(240,a,10935,a(flip),b,11546,a(flip)),flip(a)]. 11548 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8279(a,1),11547(a,1,2))]. 11549 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(10569(a,1),11548(a,1,2))]. 11550 (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(10582(a,1),11548(a,1,2))]. 11552 (x / y) * R(y,z,y) = x * a(y,z,y). [para(324(a,1),11549(a,2,2,3))]. 11554 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(240,a,9165,a,b,11552,a(flip)),flip(a)]. 11555 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,11549,a(flip),b,11552,a(flip)),flip(a)]. 11556 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),11552(a,1,1)),flip(a)]. 11557 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4173(a,1),11552(a,1,2))]. 11558 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(11552(a,2),10915(a,1,2))]. 11559 (x * y) * a(y,x,y) = T(y * x,y). [hyper(240,a,1177,a(flip),b,11554,a(flip))]. 11560 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),11554(a,1,2)),flip(a)]. 11561 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(11554(a,1),1167(a,1,2))]. 11562 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(11559(a,1),871(a,1,1,2))]. 11563 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(11556(a,1),11076(a,1,1))]. 11564 (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(10588(a,1),11557(a,1,2))]. 11565 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(240,a,7052,a(flip),b,11563,a)]. 11567 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(240,a,9586,a(flip),b,11558,a(flip)),flip(a)]. 11568 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(11567(a,1),6932(a,1,2))]. 11569 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5240,a,11568,a),flip(a)]. 11570 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3919(a,1),11562(a,1,1)),flip(a)]. 11571 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(4274(a,1),11564(a,1,2,1)),flip(a)]. 11572 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(11355(a,1),6607(a,1,2,2))]. 11573 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,L(z \ 1,y,x)). [para(11355(a,1),11572(a,2,2))]. 11574 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = T(1 / L(z,y,x),u) \ 1. [hyper(240,a,11292,a(flip),b,11573,a)]. 11575 (x * y) \ (x * (y * (z * K(u,z \ 1)))) = T(1 / L(z,y,x),u) \ 1. [para(11411(a,1),11574(a,1,2))]. 11576 L(x * K(y,x \ 1),z,u) = T(1 / L(x,z,u),y) \ 1. [hyper(449,a,11575,a)]. 11577 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / (1 / (T(1 / L(x,z,u),y) \ 1)). [para(11576(a,1),2436(a,2,2,2))]. 11579 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / T(1 / L(x,z,u),y). [para(62(a,1),11577(a,2,2))]. 11581 L(1 / T(1 / x,y),z,u) = 1 / T(1 / L(x,z,u),y). [para(7292(a,1),11579(a,1,1,2))]. 11582 L(1 / T(1 / x,y),z,u) \ 1 = T(1 / L(x,z,u),y). [para(11581(a,2),65(a,1,1))]. 11583 L(1 / T(x,y),z,u) \ 1 = T(1 / L(x \ 1,z,u),y). [para(62(a,1),11582(a,1,1,1,2,1))]. 11584 L(1 / T(x,y),z,u) \ 1 = T(L(1 / x,z,u) \ 1,y). [para(2437(a,1),11583(a,2,1))]. 11585 T(x * L(x \ 1,y,z),u) \ T(x,u) = T(L(1 / x,y,z) \ 1,u). [hyper(240,a,2384,a,b,11584,a(flip)),flip(a)]. 11586 ((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(73,a,11585,a(flip),b,7399,a)]. 11587 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(189(a,1),8248(a,1,1)),flip(a)]. 11588 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7560(a,1),11587(a,2,1,1))]. 11589 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(240,a,40,a,b,11588,a)]. 11590 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,10713,a(flip),b,11589,a(flip))]. 11592 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(5866(a,1),8904(a,2,1,1))]. 11593 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5078(a,1),11592(a,2,1))]. 11594 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(8902(a,1),11593(a,1,2,1))]. 11595 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(9775(a,1),11594(a,1,2,1))]. 11596 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11595(a,1),5869(a,1,2))]. 11598 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(240,a,4232,a(flip),b,11596,a(flip)),flip(a)]. 11600 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(240,a,10528,a(flip),b,11598,a(flip)),flip(a)]. 11602 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(73,a,11600,a(flip),b,199,a)]. 11603 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11600(a,1),9989(a,1,2,1))]. 11604 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(6174,a,11603,a),flip(a)]. 11606 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(240,a,11487,a(flip),b,11604,a(flip)),flip(a)]. 11607 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(240,a,10384,a(flip),b,11606,a(flip))]. 11608 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(240,a,6706,a(flip),b,11607,a(flip))]. 11609 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9522,a,11608,a),flip(a)]. 11610 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(11281,a,11609,a),flip(a)]. 11611 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(11281,a,11610,a),flip(a)]. 11612 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(11610(a,1),11281(a,1))]. 11613 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(10205(a,1),11611(a,2,2))]. 11614 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(9412(a,1),9415(a,1,2,1,1)),flip(a)]. 11615 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(240,a,2424,a(flip),b,11614,a)]. 11617 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1069(a,1),11615(a,2,1))]. 11618 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1069(a,1),11617(a,1,1))]. 11619 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(11618(a,1),11277(a,1,2,2))]. 11620 (K(x,K(y * z,(x * y) * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). [para(7490(a,1),10374(a,1,1,1))]. 11621 (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(9322(a,1),11353(a,1,2))]. 11622 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(4006(a,1),11621(a,1,2)),flip(a)]. 11623 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),11622(a,2,2))]. 11624 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(240,a,9131,a(flip),b,11623,a)]. 11625 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). [hyper(240,a,11314,a(flip),b,11624,a)]. 11626 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(240,a,7356,a(flip),b,11625,a)]. 11627 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(6979(a,1),11626(a,1,2,3))]. 11628 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4032(a,1),11627(a,1,2,3))]. 11629 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(240,a,11449,a,b,11628,a(flip)),flip(a)]. 11630 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11248(a,1),11629(a,1,1))]. 11631 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3190(a,1),11630(a,1,2)),flip(a)]. 11632 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(240,a,5183,a(flip),b,11631,a)]. 11633 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [hyper(240,a,11314,a(flip),b,11632,a)]. 11634 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(240,a,4809,a,b,11633,a)]. 11635 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),11505(a,2,1,1))]. 11636 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(240,a,9091,a(flip),b,11635,a)]. 11638 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),11636(a,1,1,1))]. 11639 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11638(a,1,2,2))]. 11640 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5644(a,1),11639(a,1,2,1,3))]. 11641 (K(x,K(y * z,y * z)) * u) / ((((x * y) * z) * K(y * z,x)) \ u) = ((y * z) * x) * a(x,y,z). [para(8806(a,1),11620(a,1,1,1))]. 11642 (K(x,1) * y) / ((((x * z) * u) * K(z * u,x)) \ y) = ((z * u) * x) * a(x,z,u). [para(132(a,1),11641(a,1,1,1,2))]. 11644 (1 * x) / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [para(152(a,1),11642(a,1,1,1))]. 11645 x / ((((y * z) * u) * K(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [hyper(302,a,11644,a)]. 11647 x / ((R(y,z,u) * T(z * u,y)) \ x) = ((z * u) * y) * a(y,z,u). [para(5962(a,1),11645(a,1,2,1))]. 11648 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(298,a,11647,a)]. 11649 R(x,x \ y,z) * T((x \ y) * z,x) = K((x \ y) * z,x) * (y * z). [hyper(240,a,10179,a(flip),b,11648,a(flip))]. 11650 K((x \ y) * z,x) * (y * z) = (y * z) * K((x \ y) * z,x). [hyper(6157,a,11649,a),flip(a)]. 11652 (x * (y * z)) / ((y * z) * K((x \ y) * z,x)) = T(x,(x \ y) * z). [para(11650(a,1),5083(a,1,2))]. 11653 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),x \ 1) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [hyper(4041,a,4601,a)]. 11654 ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = z / R(x \ 1,x,y). [hyper(256,a,11653,a)]. 11656 (x \ K(y,x * y)) \ K((x * y) * (x \ 1),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(6341(a,1),6418(a,1,1))]. 11657 (x \ K(y,x * y)) \ K(x \ (x * y),x * y) = ((x * y) \ ((x * y) * (x \ 1))) \ 1. [para(6470(a,1),11656(a,1,2))]. 11658 ((x * y) \ ((x * y) * (x \ 1))) \ 1 = (x \ K(y,x * y)) \ K(y,x * y). [para(13(a,1),11657(a,1,2,1)),flip(a)]. 11659 ((x * y) \ ((x * y) * (x \ 1))) \ 1 = T(x,x \ K(y,x * y)). [hyper(240,a,123,a,b,11658,a)]. 11661 T(x,x \ K(y,x * y)) = (x \ 1) \ 1. [para(13(a,1),11659(a,1,1)),flip(a)]. 11663 T(x,x \ K(y,y * x)) = (x \ 1) \ 1. [para(6682(a,1),11661(a,1,2,2))]. 11664 T(1 / (x \ y),(1 / (x \ y)) \ K(y,x)) = ((1 / (x \ y)) \ 1) \ 1. [para(6203(a,1),11663(a,1,2,2))]. 11665 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = ((1 / (x \ y)) \ 1) \ 1. [hyper(396,a,11664,a)]. 11666 ((1 / (x \ y)) \ K(y,x)) \ K(y,x) = (x \ y) \ 1. [para(65(a,1),11665(a,2,1))]. 11667 T(1 / (x \ y),x \ T(y,x)) = (x \ y) \ 1. [hyper(240,a,5837,a(flip),b,11666,a(flip)),flip(a)]. 11669 ((x \ y) \ 1) * K(x \ T(y,x),(x \ y) \ 1) = 1 / (x \ y). [para(11667(a,1),4825(a,1,1))]. 11670 K(x,y) / (y \ T(x,y)) = 1 / (y \ x). [hyper(240,a,6415,a(flip),b,11669,a(flip)),flip(a)]. 11671 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6533(a,1),6534(a,2,2,1,1))]. 11672 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11671(a,2,2,1))]. 11674 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(240,a,3652,a(flip),b,11672,a)]. 11675 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11674(a,1,1,2,1))]. 11676 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3652(a,1),11675(a,1,1))]. 11677 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(2269,a,11676,a)]. 11678 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11677(a,1),4345(a,1,1,1))]. 11679 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(736,a,11678,a)]. 11680 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(118(a,1),11679(a,1,1,2))]. 11681 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11680(a,1,1)),flip(a)]. 11682 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(7451(a,1),8877(a,2,1))]. 11683 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(240,a,9734,a(flip),b,9094,a(flip)),flip(a)]. 11684 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11222,a,11683,a)]. 11687 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9692(a,1),11684(a,2,2,2))]. 11688 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11687(a,2,2,2,1))]. 11689 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11688(a,2,2))]. 11691 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(240,a,9721,a(flip),b,11689,a)]. 11692 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(240,a,11223,a(flip),b,11691,a(flip))]. 11693 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11691(a,1),4267(a,1))]. 11695 (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(5183(a,1),9575(a,1,1,2))]. 11696 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = T(K((x * (y / x)) * z,u),T(y,x)). [hyper(240,a,10303,a(flip),b,10351,a)]. 11697 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(240,a,4651,a(flip),b,10973,a(flip))]. 11699 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(240,a,3486,a(flip),b,11697,a)]. 11700 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2908(a,1),11699(a,1,2,1)),flip(a)]. 11702 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(9997(a,1),11204(a,1,2,1,1))]. 11703 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(8281,a,11682,a(flip)),flip(a)]. 11704 ((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(11185(a,1),11695(a,1,1))]. 11705 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(240,a,11203,a(flip),b,11702,a(flip))]. 11706 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(8824,a,11705,a),flip(a)]. 11707 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7796,a,11706,a)]. 11708 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8625,a,11707,a),flip(a)]. 11709 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11708(a,1),11001(a,1,1))]. 11710 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(240,a,11000,a(flip),b,11709,a(flip)),flip(a)]. 11711 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(10417,a,11710,a),flip(a)]. 11712 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(240,a,6542,a(flip),b,11711,a(flip))]. 11713 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11712(a,1,2,1)),flip(a)]. 11714 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(495(a,1),11713(a,2,2,1))]. 11715 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5362(a,1),11713(a,1,1)),flip(a)]. 11716 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6201(a,1),11713(a,1,1)),flip(a)]. 11717 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(10514(a,1),11713(a,1,1))]. 11718 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(240,a,5523,a,b,11715,a(flip)),flip(a)]. 11719 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11716(a,1),11717(a,1,1)),flip(a)]. 11720 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5523(a,1),11714(a,1,1))]. 11721 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3949(a,1),4051(a,1,1,2)),flip(a)]. 11722 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(240,a,2669,a(flip),b,11721,a)]. 11723 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4049(a,1),11722(a,1,3))]. 11724 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11723(a,1),6509(a,1,1,1))]. 11725 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11723(a,1),11724(a,1,2))]. 11726 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(280,a,11725,a)]. 11727 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(240,a,4457,a(flip),b,11726,a(flip)),flip(a)]. 11728 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11727(a,1),179(a,1,2))]. 11729 (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6697(a,1),4063(a,1,1))]. 11730 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),4253(a,1,1,2))]. 11731 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),11730(a,1,1))]. 11732 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2710(a,1),11731(a,1,1))]. 11733 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11732(a,1,2,2,2))]. 11734 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11733(a,1,2,2))]. 11735 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2710(a,1),11734(a,1,2,2))]. 11736 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11735(a,1,2))]. 11738 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11736(a,1),4691(a,1,1)),flip(a)]. 11739 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11738(a,1),65(a,1,1))]. 11740 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(240,a,3321,a(flip),b,11739,a(flip)),flip(a)]. 11741 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(5119(a,1),5734(a,2,2,2))]. 11742 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6450(a,1),11741(a,1,1,2,1)),flip(a)]. 11743 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4977(a,1),11742(a,2,1,2))]. 11745 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(7090(a,1),11743(a,2,1))]. 11746 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(90,a,11745,a)]. 11747 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(11746(a,1),8179(a,1,1,1)),flip(a)]. 11748 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5774(a,1),11747(a,2,1))]. 11749 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5571(a,1),11748(a,1,2,2))]. 11750 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7908(a,1),11749(a,1,2))]. 11751 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7982(a,1),11750(a,1,2)),flip(a)]. 11752 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(8152,a,11751,a(flip)),flip(a)]. 11754 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11752(a,1),6114(a,1,2,1))]. 11755 (((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(11752(a,2),11370(a,1,2,1))]. 11756 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(9348(a,1),11754(a,1,1,1))]. 11757 (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(7505(a,1),8172(a,1,1,2))]. 11758 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(5948(a,1),9063(a,1,1)),flip(a)]. 11759 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(240,a,5160,a(flip),b,11758,a)]. 11761 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(240,a,4815,a(flip),b,11759,a)]. 11762 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(5948(a,1),11761(a,1,2))]. 11763 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(240,a,7692,a(flip),b,11762,a(flip)),flip(a)]. 11765 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(240,a,11303,a(flip),b,11763,a)]. 11766 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11765(a,1),4838(a,1,1))]. 11767 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11765(a,1),4930(a,1,1))]. 11768 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(240,a,11634,a(flip),b,11767,a)]. 11769 (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(5183(a,1),9217(a,1,1,2,2))]. 11770 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(240,a,7502,a(flip),b,11541,a(flip))]. 11771 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7489,a,11770,a)]. 11773 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8556(a,1),11771(a,1,2))]. 11774 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,8941,a(flip),b,11773,a(flip)),flip(a)]. 11775 (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6717(a,1),11729(a,1,1))]. 11776 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(7859(a,1),11757(a,1,1)),flip(a)]. 11777 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(6964(a,2),11776(a,2,2))]. 11778 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(240,a,7175,a(flip),b,11777,a)]. 11779 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(7507(a,1),11778(a,1,1))]. 11780 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(240,a,5967,a(flip),b,11779,a(flip))]. 11782 (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(5068(a,1),11769(a,1,1,2))]. 11783 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(9906(a,1),11782(a,1,2))]. 11784 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8608(a,1),11783(a,1,2))]. 11786 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5183(a,1),11784(a,2,2,1,1))]. 11787 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7565(a,1),11786(a,2,2,1))]. 11788 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(6903(a,2),11787(a,2,2))]. 11789 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11788(a,2,2,1))]. 11790 ((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(11789(a,1),5757(a,1,1,2))]. 11791 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),6365(a,2,2,1,2))]. 11792 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(240,a,192,a(flip),b,11791,a)]. 11793 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(192(a,1),11792(a,1,2))]. 11794 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5183(a,1),11793(a,1,2,2))]. 11795 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(240,a,2424,a(flip),b,11794,a)]. 11796 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). [para(6966(a,1),9662(a,2,1))]. 11797 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). [para(10270(a,1),11796(a,2,1))]. 11798 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(z \ ((x \ y) \ z),z * (x \ y)) * (z \ u). [para(7293(a,1),11797(a,2,1))]. 11799 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K((x \ y) \ 1,(x \ y) * z) * (z \ u). [para(10279(a,1),11798(a,2,1))]. 11800 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(6019(a,1),11799(a,2,1))]. 11801 (K((x \ y) * z,y \ x) * z) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(4780(a,1),11800(a,1,1))]. 11802 (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). [para(10328(a,1),11801(a,1,1))]. 11803 L(x \ T(y,x \ 1),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(6107(a,1),10246(a,1,1,2))]. 11804 (x * ((y * x) \ y)) \ (z * ((x * ((y * x) \ y)) / x)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(13(a,1),11803(a,1,3)),flip(a)]. 11807 (x * ((y * x) \ y)) \ (z * L(1 / x,x,y)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(784(a,1),11804(a,1,2,2))]. 11808 (x * ((y * x) \ y)) \ ((z * K(x \ 1,z)) * L(1 / x,x,y)) = L(x \ z,x,(y * x) \ y). [para(4777(a,1),11807(a,2,1,2))]. 11809 (x * ((y * x) \ y)) \ (z * (K(x \ 1,z) * L(1 / x,x,y))) = L(x \ z,x,(y * x) \ y). [para(5383(a,1),11808(a,1,2))]. 11810 (x * ((y * x) \ y)) \ (z * L(T(1 / x,z),x,y)) = L(x \ z,x,(y * x) \ y). [para(6061(a,1),11809(a,1,2,2))]. 11811 (x * ((y * x) \ y)) \ (L(1 / x,x,y) * z) = L(x \ z,x,(y * x) \ y). [para(192(a,1),11810(a,1,2))]. 11812 (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(1442(a,1),10252(a,1,1))]. 11813 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(240,a,8267,a(flip),b,11812,a)]. 11815 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11813(a,1),14(a,1,2))]. 11816 (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(11815(a,1),11704(a,1,1))]. 11817 (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(9574(a,1),11816(a,1,2))]. 11818 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1118,a,11817,a)]. 11819 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(240,a,5183,a(flip),b,11818,a)]. 11820 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(240,a,8474,a,b,11819,a(flip)),flip(a)]. 11821 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3232,a,11820,a),flip(a)]. 11822 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7805,a,11821,a),flip(a)]. 11824 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7782,a,11822,a),flip(a)]. 11826 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(11824(a,1),9800(a,1,1))]. 11827 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(5084,a,11826,a)]. 11828 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9781(a,1),11826(a,1,2,2))]. 11829 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(11827(a,1),9722(a,1))]. 11830 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9726(a,1),11828(a,1,2))]. 11831 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5200,a,11830,a)]. 11832 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(11829,a,11831,a)]. 11834 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11832(a,1),9746(a,1,1)),flip(a)]. 11836 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6857(a,1),3300(a,1,1))]. 11838 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2538(a,1),6553(a,1,1))]. 11839 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(7418(a,1),6788(a,1,1,1))]. 11840 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3923(a,1),11839(a,1,1)),flip(a)]. 11841 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(240,a,7757,a(flip),b,11840,a)]. 11843 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(240,a,479,a(flip),b,9854,a)]. 11844 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(240,a,1671,a(flip),b,11843,a(flip)),flip(a)]. 11845 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5199(a,1),11844(a,1,1,2,1))]. 11846 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5502(a,1),11845(a,1,1,2,1))]. 11847 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7632(a,1),11846(a,1,1,2,1)),flip(a)]. 11848 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(240,a,4031,a(flip),b,11847,a(flip))]. 11850 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11848(a,1),1181(a,2,1,2)),flip(a)]. 11851 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5183(a,1),11850(a,1,1))]. 11852 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9718(a,1),11851(a,1,1))]. 11853 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(298,a,11852,a)]. 11856 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(240,a,6443,a(flip),b,11853,a(flip)),flip(a)]. 11857 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(240,a,8134,a(flip),b,11856,a)]. 11858 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(240,a,6844,a(flip),b,11857,a(flip))]. 11860 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(121(a,1),11858(a,1,2,2,1)),flip(a)]. 11861 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(240,a,11858,a,b,11860,a(flip)),flip(a)]. 11862 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(8135,a,11861,a)]. 11864 (((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),11391(a,2,2,2))]. 11866 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(4977(a,1),11795(a,2,1,2,1))]. 11867 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(10753(a,1),11866(a,2,1))]. 11868 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(6653(a,1),11867(a,1,2,2,2,1))]. 11869 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(240,a,11794,a(flip),b,11868,a(flip)),flip(a)]. 11870 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(240,a,11188,a(flip),b,11869,a(flip)),flip(a)]. 11871 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11248(a,1),11870(a,1,3))]. 11872 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(11871(a,2),106(a,1,2))]. 11873 (x * y) * a(z,u,K(w,L(v5,y,x))) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(11871(a,2),230(a,1,2))]. 11874 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(4977(a,1),8427(a,1,1,1,2,1))]. 11875 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(8483(a,1),11874(a,1,1,1))]. 11876 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(10742(a,1),11875(a,1,1))]. 11877 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(10753(a,1),11876(a,1,1,2))]. 11878 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(4977(a,1),11877(a,1,3,1))]. 11879 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(240,a,10693,a(flip),b,11878,a(flip))]. 11881 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(4980(a,1),11879(a,1,2,1))]. 11882 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(4980(a,1),11881(a,1,2,2,1))]. 11883 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(10756(a,1),11882(a,1,2))]. 11884 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(11883(a,1),400(a,1,1))]. 11885 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(3330(a,1),8917(a,2,1,2))]. 11886 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(629(a,1),11885(a,1,1,2,2))]. 11887 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3355(a,1),11886(a,1,1,2))]. 11888 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(5628,a,11887,a),flip(a)]. 11889 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(4815(a,1),10367(a,2,1))]. 11890 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(122(a,1),11889(a,2,1))]. 11891 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(10687(a,1),10690(a,1,1,2,1,1)),flip(a)]. 11892 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),11891(a,2,1,2,1))]. 11894 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(10687(a,1),11892(a,1,1)),flip(a)]. 11895 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2167(a,1),11894(a,2,2))]. 11896 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(240,a,10747,a,b,11895,a(flip)),flip(a)]. 11897 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(11895(a,1),11532(a,1,1))]. 11898 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(308,a,11896,a),flip(a)]. 11899 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(5187(a,1),11897(a,1,1,2))]. 11900 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(240,a,10692,a(flip),b,11899,a(flip))]. 11901 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4093,a,11900,a)]. 11903 T(x,a(K(y,z),u,u \ 1)) = x. [para(11901(a,1),9884(a,1,2))]. 11904 T(x,a(K(y,z),u \ 1,u)) = x. [para(4701(a,1),11903(a,1,2))]. 11905 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,11904,a)]. 11906 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(240,a,3560,a,b,11905,a)]. 11907 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5185(a,2),11906(a,1,1))]. 11908 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(240,a,9422,a,b,11907,a(flip)),flip(a)]. 11909 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(240,a,7000,a,b,11908,a(flip)),flip(a)]. 11910 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(9971,a,11909,a)]. 11911 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2522(a,1),11910(a,1,2,2))]. 11912 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(240,a,7507,a,b,11911,a)]. 11913 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11911(a,1),7493(a,1,2)),flip(a)]. 11914 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),11912(a,1,2,2))]. 11915 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5292(a,1),11914(a,1,2)),flip(a)]. 11916 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5295(a,2),11914(a,1,2))]. 11917 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(8079,a,11915,a)]. 11918 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7545,a,11915,a)]. 11919 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),11917(a,2,2,2))]. 11920 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5302(a,2),11917(a,1,2))]. 11921 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7489,a,11919,a)]. 11922 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11920(a,1),11304(a,1,3))]. 11923 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(240,a,7974,a(flip),b,11921,a(flip)),flip(a)]. 11925 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11923(a,1),9274(a,1,1))]. 11926 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11923(a,1),9538(a,1,1))]. 11927 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7507(a,1),11926(a,1,1))]. 11929 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(240,a,8716,a(flip),b,11927,a(flip)),flip(a)]. 11930 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),11929(a,1,2,2,2))]. 11931 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7539,a,11925,a)]. 11932 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(62(a,1),11925(a,1,2)),flip(a)]. 11934 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7450(a,1),11931(a,1,1))]. 11935 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7491(a,1),11932(a,2,1))]. 11936 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9276,a,11934,a)]. 11937 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11935(a,1),65(a,1,1))]. 11938 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(11535(a,1),11936(a,1,1,1,1))]. 11939 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4880,a,11937,a)]. 11940 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,11939,a)]. 11941 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),11940(a,1,3))]. 11942 a(K(K(x,y),z),u,u \ z) = 1. [para(5682(a,2),11940(a,1,1))]. 11943 a(K(x,K(y,z * u)),z,u) = 1. [para(7450(a,1),11941(a,1,1))]. 11944 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(240,a,7533,a,b,11942,a)]. 11945 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(240,a,7454,a(flip),b,11913,a)]. 11946 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(240,a,8957,a(flip),b,11945,a(flip)),flip(a)]. 11948 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7600(a,1),11946(a,1,2)),flip(a)]. 11949 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7622(a,1),11948(a,1,2)),flip(a)]. 11950 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(8007,a,11949,a),flip(a)]. 11951 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5292(a,1),11949(a,1,2)),flip(a)]. 11952 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(240,a,7869,a(flip),b,11951,a(flip))]. 11953 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(11952(a,1),4898(a,1,1))]. 11954 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(6912,a,11950,a),flip(a)]. 11955 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8013,a,11954,a)]. 11956 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(240,a,4800,a(flip),b,11955,a)]. 11957 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4858,a,11956,a)]. 11958 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11930(a,1),11944(a,2,2))]. 11959 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7491(a,2),11958(a,2,2))]. 11960 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5682(a,1),11959(a,1,1))]. 11961 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5080(a,2),11938(a,1,1))]. 11962 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7766,a,11961,a)]. 11963 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(240,a,11918,a(flip),b,11962,a(flip)),flip(a)]. 11964 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11963(a,1,2,2)),flip(a)]. 11966 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(11964(a,1),7474(a,1))]. 11967 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4470(a,1),11495(a,1,1))]. 11969 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6699(a,1),11967(a,1,2,1,2))]. 11970 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(5553,a,11969,a)]. 11971 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(73,a,11969,a(flip),b,5542,a(flip))]. 11972 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(240,a,5901,a,b,11970,a),flip(a)]. 11973 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3017,a,11971,a)]. 11974 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2145,a,11972,a)]. 11975 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(240,a,10891,a(flip),b,11974,a)]. 11976 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11974(a,1),224(a,1,2)),flip(b)]. 11977 (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(11973(a,1),3638(a,2,1)),flip(a)]. 11978 (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(4389(a,1),11977(a,1,2))]. 11979 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4620(a,1),11978(a,1,2))]. 11980 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(240,a,11463,a(flip),b,11979,a(flip))]. 11982 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(171(a,1),11980(a,1,2,2,1))]. 11983 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11982(a,1),4083(a,1,2))]. 11984 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11983(a,1),7323(a,2,1))]. 11985 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(7451(a,1),11953(a,1,2,1,2))]. 11986 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(7945(a,1),11985(a,1,2,1,2))]. 11987 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(7501(a,1),11986(a,1,2,1,2))]. 11988 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(7727(a,1),11987(a,1,2,1,2))]. 11989 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(4788(a,1),11988(a,1,2,1))]. 11990 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(240,a,5105,a,b,11989,a(flip)),flip(a)]. 11991 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(7966(a,1),11990(a,1,1)),flip(a)]. 11992 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(5876(a,1),11991(a,2,2))]. 11993 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(240,a,7536,a(flip),b,11992,a)]. 11994 ((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(5183(a,1),5905(a,1,2,1,2,1))]. 11995 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),6714(a,1,1,1)),flip(a)]. 11996 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(240,a,6974,a(flip),b,11995,a)]. 11998 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(240,a,8801,a(flip),b,11996,a)]. 11999 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7302,a,11998,a)]. 12000 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(240,a,8823,a(flip),b,11999,a(flip)),flip(a)]. 12001 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(8804,a,12000,a)]. 12002 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(7800,a,12001,a),flip(a)]. 12004 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(9571,a,12002,a)]. 12005 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6225,a,12004,a),flip(a)]. 12006 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(240,a,8703,a,b,12005,a(flip)),flip(a)]. 12007 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(240,a,11524,a,b,12006,a(flip)),flip(a)]. 12008 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),12007(a,2,2,1))]. 12009 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(240,a,8898,a(flip),b,12008,a(flip))]. 12011 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(5183(a,1),9403(a,1,1,1))]. 12012 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(240,a,6495,a(flip),b,5323,a(flip))]. 12014 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(240,a,5819,a(flip),b,12012,a(flip)),flip(a)]. 12015 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(240,a,6567,a(flip),b,12014,a(flip)),flip(a)]. 12016 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12015(a,1,2,1))]. 12017 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(240,a,8373,a(flip),b,12016,a(flip)),flip(a)]. 12018 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(240,a,8143,a(flip),b,12017,a)]. 12019 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(240,a,9757,a(flip),b,12018,a(flip)),flip(a)]. 12020 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8090,a,12019,a),flip(a)]. 12022 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,7438,a(flip),b,12020,a)]. 12023 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(240,a,11888,a,b,12022,a(flip)),flip(a)]. 12025 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12023(a,1),6550(a,1,1,1))]. 12026 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(240,a,8107,a(flip),b,12025,a(flip))]. 12028 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12026(a,1,3,2)),flip(a)]. 12029 (1 / ((x * y) / x)) \ T(1 / y,1 / (1 / ((x * y) / x))) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(9283(a,1),7259(a,2,1))]. 12030 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2922(a,1),12029(a,1,2))]. 12031 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3276(a,1),12030(a,1,2)),flip(a)]. 12032 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(240,a,11531,a(flip),b,12031,a)]. 12034 (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(5183(a,1),8467(a,1,2,1))]. 12035 (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(5183(a,1),12034(a,1,2,2,1,1))]. 12036 (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(839(a,1),12035(a,1,2))]. 12037 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(8843(a,1),12036(a,1,2))]. 12038 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(240,a,5046,a(flip),b,12037,a(flip))]. 12040 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3022(a,1),12038(a,2,1))]. 12041 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(5857(a,1),12040(a,1,1))]. 12042 R(K(x,y),K(y,z),u) = K(x,y). [hyper(884,a,12041,a)]. 12043 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12041(a,1,2))]. 12044 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(12042(a,1),2406(a,1,1)),flip(a)]. 12045 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(240,a,8244,a,b,12043,a)]. 12046 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(75,a,6863,a(flip),b,12043,a)]. 12047 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(75,a,12043,a(flip),b,4811,a)]. 12048 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(6685(a,1),12043(a,1,1)),flip(a)]. 12049 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(75,a,8379,a(flip),b,12045,a)]. 12050 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(2160(a,2),12045(a,1,1))]. 12051 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) != w | T(K(z,x) * K(x,y),u) = w. [para(12045(a,1),4803(a,1))]. 12052 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5176(a,1),12046(a,1,1))]. 12053 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7611(a,1),12049(a,1,1))]. 12054 L(x,K(y,z),K(z,u)) = x. [hyper(438,a,12050,a)]. 12055 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(12050(a,1),254(a,1,2))]. 12056 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12050(a,1),6436(a,1,2))]. 12057 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(12050(a,1),10721(a,2,2))]. 12058 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,11590,a(flip),b,12054,a(flip))]. 12059 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(240,a,5739,a(flip),b,12054,a(flip)),flip(a)]. 12060 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5644(a,1),12054(a,1,2))]. 12061 L(x,K(y,T(z,u)),K(z,w)) = x. [para(6974(a,1),12054(a,1,2))]. 12062 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12054(a,1),10703(a,1,1,1)),flip(a)]. 12063 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12061(a,1),106(a,1,2))]. 12064 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(12060(a,1),106(a,1,2))]. 12065 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(421,a,12058,a)]. 12067 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7560(a,1),12058(a,1,1))]. 12068 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(240,a,8244,a(flip),b,12059,a)]. 12069 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(2160(a,1),12059(a,1,1))]. 12070 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(8956,a,12065,a)]. 12071 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(240,a,12058,a(flip),b,12065,a(flip))]. 12072 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(2160(a,1),12065(a,2,2))]. 12073 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(2160(a,1),12067(a,2,2))]. 12074 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(8828(a,1),12067(a,1,1,2)),flip(a)]. 12075 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(9626(a,1),12068(a,1,1)),flip(a)]. 12076 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5191,a,12075,a)]. 12077 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6682(a,2),12075(a,1,2,1))]. 12078 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(17,a,10908,a,b,12076,a)]. 12079 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(17,a,10731,a,b,12076,a(flip)),flip(a)]. 12080 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(13(a,1),12076(a,1,2)),flip(a)]. 12081 x / a(y,z,y) = a(y,z,y) \ x. [hyper(90,a,12079,a)]. 12082 T(a(x,y,x),z) = a(x,y,x). [hyper(17,a,3890,a,b,12079,a),flip(a)]. 12083 T(x,a(y,z,y)) = x. [hyper(17,a,11401,a(flip),b,12079,a(flip)),flip(a)]. 12084 a(x,y,x) * z = z * a(x,y,x). [para(13(a,1),12079(a,1,1)),flip(a)]. 12086 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12079(a,1),299(a,1,1)),flip(b)]. 12087 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(12079(a,1),10909(a,1,2)),flip(a)]. 12088 T(x,a(y,z,y)) = 1 * x. [hyper(323,a,12083,a),flip(a)]. 12089 K(x,a(y,z,y)) = 1. [hyper(36,a,12083,a)]. 12090 (x * a(y,z,y)) * L(u,x,a(y,z,y)) = a(y,z,y) * (x * u). [para(12083(a,1),10202(a,2,2,1))]. 12091 x * K(y,a(z,u,z)) = x. [para(12089(a,2),12(a,1,2))]. 12092 T(x,a(y,z,y)) != u | u = x. [para(12088(a,2),76(a,1))]. 12093 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12091(a,1),266(a,1)),flip(b)]. 12094 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12091(a,1),4844(a,1,1,1))]. 12095 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(12091(a,1),4931(a,1,1)),flip(a)]. 12096 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(240,a,9625,a,b,12082,a)]. 12099 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(240,a,10912,a,b,12081,a(flip)),flip(a)]. 12100 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12081(a,1),10913(a,1,2))]. 12102 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(240,a,11560,a(flip),b,12084,a)]. 12103 a(x,y,x) * (y * x) = T(x * y,x). [hyper(240,a,11559,a(flip),b,12084,a)]. 12104 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(240,a,11556,a(flip),b,12084,a)]. 12105 a(x,y,x) * (x \ z) = L(x,y,x) \ z. [hyper(240,a,10910,a(flip),b,12084,a)]. 12106 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(240,a,9673,a(flip),b,12084,a)]. 12107 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(240,a,9639,a(flip),b,12084,a)]. 12108 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(75,a,11556,a(flip),b,12084,a)]. 12109 (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(73,a,12084,a,b,607,a)]. 12110 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(12084(a,1),449(a,1,2))]. 12111 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(12084(a,1),608(a,1,2,1))]. 12112 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(12084(a,1),704(a,1,1))]. 12113 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(12084(a,2),704(a,1,1))]. 12114 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9625(a,2),12084(a,2,2)),flip(a)]. 12115 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(12084(a,2),11561(a,1,2))]. 12116 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7362(a,1),12096(a,2,2))]. 12118 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [hyper(73,a,6470,a(flip),b,12107,a)]. 12119 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(6104(a,1),12107(a,2,1))]. 12120 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(7239(a,1),12107(a,1,2))]. 12121 (x / y) * L(y,z,y) = a(y,z,y) \ x. [para(16(a,1),12078(a,1,2)),flip(a)]. 12122 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(73,a,12,a(flip),b,12087,a),flip(a)]. 12123 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12102(a,1),483(a,1,1,1))]. 12124 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(73,a,16,a(flip),b,12104,a),flip(a)]. 12125 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(75,a,12104,a(flip),b,91,a(flip))]. 12127 R(a(x,y,x),x,z) = a(x,y,x). [hyper(240,a,10241,a(flip),b,12108,a(flip)),flip(a)]. 12128 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12108(a,1),226(a,1,1)),flip(b)]. 12129 ((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(106(a,1),12108(a,1,2))]. 12132 ((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(240,a,476,a,b,12127,a(flip)),flip(a)]. 12133 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(73,a,14,a(flip),b,12115,a),flip(a)]. 12135 (x / y) \ (a(y,z,y) \ x) != u | L(y,z,y) = u. [para(12121(a,1),241(a,1,2)),flip(b)]. 12136 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(12080(a,1),19(a,1)),flip(a)]. 12141 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7142(a,1),12069(a,1,1,1))]. 12142 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4881,a,12071,a)]. 12144 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12072(a,1),9352(a,1,1))]. 12145 T(x,R(a(y,z,y),u,w)) = x. [hyper(184,a,12094,a)]. 12146 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(240,a,12077,a(flip),b,12048,a(flip))]. 12147 x / R(x,y,x) = x \ L(x,y,x). [hyper(75,a,9635,a(flip),b,12146,a)]. 12148 (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(12147(a,1),2593(a,1,1,2,1))]. 12149 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(11556(a,1),12095(a,1,1,2))]. 12150 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12142(a,1),4803(a,1))]. 12153 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12065(a,2),12150(a,1))]. 12156 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2160(a,1),12062(a,1,2,2))]. 12157 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12028(a,1),12116(a,2,2))]. 12158 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4822,a,12144,a),flip(a)]. 12160 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(6446(a,1),12158(a,1,2,2)),flip(a)]. 12161 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12156(a,1),7134(a,1,1))]. 12162 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(11072(a,1),12055(a,1))]. 12163 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5194,a,12056,a),flip(a)]. 12165 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12163(a,1),11506(a,1,2,1)),flip(a)]. 12166 ((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(12165(a,1),5710(a,1,2,2))]. 12168 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(12082(a,1),12111(a,2,1))]. 12169 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9634(a,2),12168(a,1,2,1))]. 12171 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(240,a,9678,a,b,12169,a(flip)),flip(a)]. 12172 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(4777(a,1),12171(a,1,1,2)),flip(a)]. 12173 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(12162,a,10699,a)]. 12174 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(169(a,2),12052(a,1,2,2,2))]. 12175 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7611(a,1),12053(a,1,2))]. 12176 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(240,a,7152,a(flip),b,12175,a)]. 12177 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(12176(a,1),10726(a,1,1))]. 12178 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4977(a,2),12064(a,1,1,2,1))]. 12179 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(240,a,12073,a(flip),b,12070,a(flip))]. 12180 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12150,a,12179,a)]. 12181 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(240,a,4800,a(flip),b,12180,a),flip(a)]. 12182 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(8954(a,1),12074(a,2,1))]. 12184 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,4800,a(flip),b,12181,a),flip(a)]. 12185 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(240,a,12058,a(flip),b,12182,a)]. 12186 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8828(a,1),12185(a,1,2,2))]. 12187 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(240,a,12071,a,b,12186,a),flip(a)]. 12188 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(10724,a,12047,a)]. 12189 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6962(a,1),12161(a,1,1,1)),flip(a)]. 12190 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12067(a,1),12189(a,2,1))]. 12191 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(240,a,4746,a,b,12190,a)]. 12192 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5183(a,1),12191(a,1,2))]. 12193 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4777(a,1),12172(a,2,2))]. 12194 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(240,a,11492,a(flip),b,12188,a(flip)),flip(a)]. 12195 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7565(a,1),12194(a,1,1)),flip(a)]. 12196 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(240,a,12065,a(flip),b,12195,a)]. 12197 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12142,a,b,12196,a)]. 12198 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2160(a,2),12196(a,1,2,1))]. 12199 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(240,a,12158,a,b,12197,a(flip)),flip(a)]. 12200 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2160(a,2),12197(a,1,1))]. 12201 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(2160(a,1),12200(a,2,2))]. 12202 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(75,a,12201,a,b,4749,a(flip))]. 12203 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4800,a(flip),b,12198,a)]. 12204 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(240,a,12192,a,b,12203,a(flip)),flip(a)]. 12205 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(240,a,12201,a(flip),b,12203,a(flip))]. 12206 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(240,a,12203,a,b,12199,a)]. 12207 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(240,a,11960,a,b,12199,a(flip))]. 12208 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(240,a,9078,a,b,12199,a(flip)),flip(a)]. 12209 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7507(a,1),12199(a,1,1))]. 12210 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(240,a,12205,a(flip),b,12209,a)]. 12211 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(240,a,11943,a(flip),b,12207,a)]. 12212 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(240,a,12184,a(flip),b,12211,a(flip)),flip(a)]. 12213 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12212(a,1,2,2,2,3))]. 12214 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(10728,a,12202,a)]. 12215 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(7487(a,1),12208(a,1,2,2,2))]. 12216 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(240,a,6245,a(flip),b,12214,a(flip)),flip(a)]. 12217 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5343,a,12215,a)]. 12218 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7487(a,1),12217(a,1,1))]. 12219 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(2164(a,1),12216(a,1,1)),flip(a)]. 12220 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(240,a,11,a(flip),b,12219,a)]. 12222 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(2160(a,1),12220(a,2,1))]. 12223 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(2160(a,2),12222(a,1,2,1))]. 12224 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(12223(a,1),250(a,1,1)),flip(b)]. 12225 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(12051,a,9914,a),flip(a)]. 12226 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(12109(a,1),12112(a,1))]. 12227 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(446(a,1),12129(a,1,1))]. 12228 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(10568(a,1),12227(a,1,1,2))]. 12229 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(240,a,12149,a(flip),b,12228,a(flip)),flip(a)]. 12232 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),12229(a,1,2)),flip(a)]. 12233 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(240,a,1078,a(flip),b,12157,a)]. 12234 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(240,a,1658,a(flip),b,12233,a)]. 12235 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9272(a,1),12234(a,2,1,2))]. 12236 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(240,a,12125,a(flip),b,12235,a)]. 12237 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(4702(a,1),12236(a,1,1))]. 12238 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10971(a,1),12120(a,1,1)),flip(a)]. 12239 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(240,a,9336,a(flip),b,12238,a(flip))]. 12241 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7243,a,12239,a)]. 12243 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9141(a,1),12241(a,1,1,2))]. 12244 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(9467(a,1),12241(a,1,1))]. 12245 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(8717(a,1),12160(a,2,2))]. 12246 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(240,a,12158,a(flip),b,12245,a)]. 12247 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6446(a,1),12246(a,1,1,2))]. 12248 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5082(a,1),12166(a,1,2)),flip(a)]. 12249 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(240,a,5248,a(flip),b,12248,a)]. 12251 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(240,a,5178,a(flip),b,12249,a)]. 12253 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5708(a,1),12251(a,1,2))]. 12254 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(12042(a,1),12044(a,2,2,1,1))]. 12255 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(4977(a,1),12254(a,2,2,1))]. 12257 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4977(a,1),12255(a,1,1,2,1))]. 12258 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(240,a,5207,a(flip),b,12257,a(flip)),flip(a)]. 12259 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(12257(a,1),471(a,1,1,1)),flip(a)]. 12260 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(12257(a,2),6547(a,1,1))]. 12261 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(12257(a,1),12011(a,1,1))]. 12263 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(7451(a,1),12260(a,1,1,1,2,1))]. 12264 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(240,a,12141,a(flip),b,12177,a(flip))]. 12265 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7142(a,1),12264(a,2,2,1))]. 12266 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),12265(a,2,2))]. 12267 (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(9633(a,1),12132(a,1,1,1))]. 12268 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(479(a,1),12267(a,1,1))]. 12269 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(10585(a,1),12268(a,1,1))]. 12270 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(12269(a,1),12123(a,1))]. 12271 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(8042(a,1),12244(a,1,1))]. 12272 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(9954(a,1),12271(a,1,1))]. 12273 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5486(a,1),12272(a,1,2))]. 12274 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8166(a,1),12273(a,1,2))]. 12275 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(10835,a,12261,a)]. 12277 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(240,a,12247,a(flip),b,12275,a(flip)),flip(a)]. 12278 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(240,a,12204,a(flip),b,12277,a(flip))]. 12279 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(240,a,12184,a(flip),b,12278,a)]. 12280 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(240,a,12213,a(flip),b,12279,a)]. 12281 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(10835,a,12280,a)]. 12283 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12281(a,1),4903(a,1,1))]. 12284 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12258(a,1),12283(a,1,2))]. 12285 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(77,a,12284,a)]. 12286 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7506(a,1),12284(a,1,2,1))]. 12287 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5191,a,12285,a)]. 12288 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2163,a,12285,a)]. 12289 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6424(a,1),12285(a,1,2))]. 12290 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12285(a,1),6547(a,1,1)),flip(a)]. 12292 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8883(a,1),12285(a,1,2))]. 12293 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12285(a,1),11898(a,1,1,2))]. 12294 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12285(a,1),12187(a,2,2))]. 12295 K(x,y) * R(K(y,x),z,u) != w | a(K(y,x),z,u) = w. [para(12287(a,1),5200(a,1,2)),flip(b)]. 12296 (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(12287(a,1),11094(a,1,1)),flip(a)]. 12297 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12288(a,1),10746(a,2,2))]. 12298 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. [para(8883(a,1),12295(a,1,2))]. 12299 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5191,a,12290,a)]. 12300 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12285(a,1),12293(a,1,2))]. 12302 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(73,a,123,a(flip),b,12300,a)]. 12303 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(240,a,10908,a(flip),b,12299,a(flip)),flip(a)]. 12304 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8716(a,1),12286(a,1,2,2))]. 12305 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12218(a,1),12304(a,1,2))]. 12306 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8775(a,1),12303(a,1,2))]. 12307 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5240,a,12306,a)]. 12308 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(240,a,9425,a,b,12307,a)]. 12309 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(240,a,12297,a(flip),b,12296,a)]. 12310 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(9892(a,1),12057(a,2,2))]. 12311 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(240,a,9600,a(flip),b,12310,a)]. 12312 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7506(a,1),12311(a,2,1))]. 12313 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7991(a,1),12312(a,2,2))]. 12314 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(240,a,12210,a(flip),b,12313,a)]. 12316 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(10717(a,1),12314(a,1,2))]. 12318 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12316(a,1),12266(a,1,2))]. 12319 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(10288,a,12318,a)]. 12320 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(12225(a,1),12319(a,1,1))]. 12321 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(12224,a,12320,a),flip(a)]. 12322 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12321(a,1),12063(a,1,1)),flip(a)]. 12323 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(240,a,11171,a(flip),b,12322,a(flip))]. 12324 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12173(a,1),12323(a,1,1)),flip(a)]. 12326 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8125(a,1),12243(a,1,1))]. 12327 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10386(a,1),12326(a,1,1))]. 12328 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6019(a,1),12327(a,1,2))]. 12329 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9266(a,1),12328(a,1,2))]. 12330 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(8715(a,1),12263(a,1,1,1,2))]. 12331 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(12218(a,1),12330(a,1,1,1))]. 12332 (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(11975(a,1),12148(a,1,1,2))]. 12333 (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(12147(a,1),12332(a,1,2,1))]. 12334 (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(3654(a,1),12333(a,1,2,2))]. 12335 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(2371(a,1),12334(a,1,2)),flip(a)]. 12337 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(12147(a,1),12335(a,1,2,1))]. 12338 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11975(a,1),12337(a,1,2)),flip(a)]. 12339 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(12147(a,1),12338(a,2,3))]. 12340 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(5030(a,1),5247(a,1,1))]. 12341 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(5030(a,1),12340(a,1,2,1,1)),flip(a)]. 12342 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(4977(a,1),12341(a,2,2,1))]. 12343 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(6424(a,1),12342(a,2,2))]. 12344 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(4754(a,1),12343(a,1,1,1)),flip(a)]. 12345 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(6424(a,1),12344(a,2,1,2))]. 12346 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(240,a,12289,a(flip),b,12345,a(flip))]. 12347 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(4957(a,1),10558(a,1,2)),flip(a)]. 12348 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3115(a,1,2,1))]. 12349 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(59(a,1),12348(a,1,2))]. 12351 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(250,a,12349,a)]. 12354 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2381(a,1),12351(a,1,1))]. 12355 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(240,a,10238,a(flip),b,12354,a(flip))]. 12356 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(240,a,4621,a(flip),b,12355,a)]. 12357 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(240,a,6743,a(flip),b,12356,a)]. 12358 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12356(a,2),10239(a,1,1))]. 12359 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1069(a,1),12357(a,1,2))]. 12360 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(72,a,12359,a,b,1575,a),flip(a)]. 12361 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12359(a,1),4793(a,2,1)),flip(a)]. 12362 ((((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(12360(a,1),11836(a,1,2,2,1)),flip(a)]. 12363 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(240,a,7507,a,b,12361,a)]. 12364 (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(12361(a,2),7545(a,1))]. 12365 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(6085(a,1),12174(a,1,2,1))]. 12366 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4258(a,1),12365(a,1,2,2)),flip(a)]. 12367 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7900(a,1),12366(a,2,2))]. 12368 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),12367(a,2,2,1))]. 12369 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(11740(a,1),12368(a,1,1,2))]. 12370 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8417(a,1),12369(a,1,1))]. 12372 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(11740(a,1),12370(a,1,2,1))]. 12373 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(5299(a,1),12372(a,1,2))]. 12374 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7413(a,1),12373(a,1,2))]. 12375 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(8969(a,1),12374(a,1,2)),flip(a)]. 12376 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(240,a,6868,a,b,12375,a)]. 12378 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(10931(a,1),5872(a,1,1)),flip(a)]. 12379 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(240,a,6866,a,b,12378,a)]. 12381 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(4815(a,1),12379(a,2,1))]. 12382 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(10931(a,1),5873(a,1,1)),flip(a)]. 12383 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(240,a,6866,a,b,12382,a)]. 12385 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(4815(a,1),12383(a,2,1))]. 12386 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(240,a,9474,a(flip),b,12385,a)]. 12387 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(4194(a,2),12386(a,1,2))]. 12388 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(10927(a,1),12387(a,1,2,1))]. 12389 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4192(a,2),12388(a,1,2,1))]. 12391 (((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(5571(a,1),11755(a,1,1,1))]. 12392 ((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(11752(a,1),12391(a,1,1))]. 12393 ((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(11752(a,1),12392(a,1,2,1))]. 12394 ((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(5571(a,1),12393(a,1,2,2,2))]. 12395 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(9860(a,1),9861(a,2,2,1,1))]. 12396 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(240,a,1676,a(flip),b,12395,a)]. 12397 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(1822(a,1),12396(a,2,2))]. 12398 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(829(a,1),12397(a,2,2,1))]. 12399 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(1086(a,1),12398(a,2,2,1,2))]. 12400 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(1676(a,1),12399(a,1,1))]. 12401 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(240,a,8925,a(flip),b,9269,a)]. 12402 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(240,a,7491,a(flip),b,12401,a)]. 12403 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(3120(a,1),9252(a,1,1,1,2))]. 12404 ((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(8418(a,1),11790(a,1,2))]. 12405 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(240,a,13,a(flip),b,12259,a)]. 12407 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12257(a,1),12405(a,1,3))]. 12409 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12285(a,1),12407(a,1,3))]. 12410 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12409(a,1),106(a,1,2))]. 12412 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(240,a,12309,a(flip),b,12410,a(flip))]. 12413 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5178(a,1),12412(a,1,2))]. 12414 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7594(a,1),12413(a,1,1,1)),flip(a)]. 12415 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(183,a,12414,a),flip(a)]. 12416 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(4408(a,1),12403(a,1,1,1))]. 12417 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(121(a,1),12416(a,1,1,1)),flip(a)]. 12419 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(3120(a,1),12417(a,2,1,3,2))]. 12420 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),12419(a,2,1,3))]. 12422 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4416(a,1),12420(a,2,1))]. 12423 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(62(a,1),12422(a,1,1,1,1,2))]. 12424 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3120(a,1),12423(a,1,1,2))]. 12425 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(240,a,5717,a(flip),b,12424,a(flip)),flip(a)]. 12427 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),12425(a,1,1,1,1)),flip(a)]. 12428 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(9611(a,1),12427(a,2,1,1))]. 12429 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(240,a,7211,a(flip),b,12428,a)]. 12430 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12429(a,1,1,3))]. 12431 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7142(a,1),12430(a,2,1))]. 12432 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(240,a,6352,a(flip),b,12431,a(flip)),flip(a)]. 12433 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(12432(a,1),8309(a,2,2))]. 12434 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(240,a,106,a(flip),b,12433,a)]. 12435 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(240,a,6990,a(flip),b,12434,a)]. 12436 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(122(a,1),12435(a,1,1,2,2,1))]. 12437 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7871(a,1),12436(a,1,1,2))]. 12438 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(6982(a,1),12437(a,1,1))]. 12439 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(122(a,1),12438(a,1,2,1,1,1))]. 12441 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12439(a,1),4875(a,1,2)),flip(a)]. 12442 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(240,a,5077,a(flip),b,12441,a)]. 12443 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3877,a,12442,a)]. 12445 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(240,a,10370,a(flip),b,12443,a(flip))]. 12446 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12445(a,2),8159(a,1,1))]. 12447 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(10328(a,1),12446(a,1,1,1))]. 12448 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(5784(a,2),12447(a,1,2,2))]. 12449 (((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(5571(a,1),8942(a,1,1,1))]. 12450 ((((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(2644(a,1),12362(a,2,1))]. 12451 ((((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(5751(a,1),12450(a,2,1))]. 12452 ((((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),12451(a,2,2,2))]. 12453 ((((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),12452(a,2,2))]. 12454 ((((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(240,a,4809,a,b,12453,a)]. 12456 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12360(a,1),12454(a,1,1,1,2,1)),flip(a)]. 12457 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),12456(a,2,1,1,2))]. 12459 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),12457(a,2,1,1))]. 12460 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12459(a,1),12361(a,1,2))]. 12461 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2267,a,12460,a)]. 12462 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11976,a,12461,a),flip(a)]. 12463 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(74,a,12462,a,b,4979,a),flip(a)]. 12465 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12463(a,1),6330(a,1,2)),flip(a)]. 12466 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(12465(a,1),65(a,1,1))]. 12467 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(12465(a,1),250(a,1,1)),flip(b)]. 12469 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,1),12466(a,1,1,1)),flip(a)]. 12470 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11834(a,1),12466(a,1,1))]. 12472 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(12467,a,12470,a),flip(a)]. 12473 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12470(a,1),12467(a,1))]. 12474 (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(240,a,6851,a,b,12472,a),flip(a)]. 12475 T(a(x,y,z),x) = a(x,y,z). [hyper(240,a,11681,a(flip),b,12469,a),flip(a)]. 12476 K(a(x,y,z),x) = 1. [hyper(36,a,12475,a)]. 12477 a(x,y,z) * x = x * a(x,y,z). [para(12475(a,1),122(a,1,2)),flip(a)]. 12478 x * K(a(y,z,u),y) != w | w = x. [para(12476(a,2),85(a,1,2))]. 12479 T(a(x,y,z),x) != u | a(x,y,z) = u. [para(4800(a,2),12478(a,1)),flip(b)]. 12480 T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. [para(3819(a,2),12479(a,1,1))]. 12481 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(12480,a,12237,a)]. 12482 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(240,a,12274,a,b,12481,a(flip)),flip(a)]. 12483 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(240,a,12329,a(flip),b,12482,a(flip)),flip(a)]. 12484 (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(10474(a,1),12474(a,1,1,2))]. 12485 (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(602(a,1),12484(a,1,1))]. 12486 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(193(a,1),12485(a,1,2)),flip(a)]. 12487 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(240,a,1202,a(flip),b,12486,a)]. 12488 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),12487(a,2,3))]. 12489 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(12473,a,12488,a)]. 12490 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(240,a,11832,a(flip),b,12489,a(flip)),flip(a)]. 12492 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(240,a,11692,a(flip),b,12490,a(flip))]. 12494 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(240,a,11510,a,b,12492,a(flip)),flip(a)]. 12495 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9658,a,12494,a)]. 12497 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12495(a,1),11571(a,1,2)),flip(a)]. 12498 (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),12497(a,2,2,2))]. 12499 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(9765(a,1),12498(a,2,2))]. 12500 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(240,a,11550,a(flip),b,12499,a(flip)),flip(a)]. 12501 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(324(a,1),12500(a,1,2,3))]. 12502 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12093,a,12501,a)]. 12503 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(12270,a,12502,a)]. 12504 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(240,a,12495,a(flip),b,12502,a(flip))]. 12505 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12503(a,1,2)),flip(a)]. 12506 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12505(a,1),9724(a,1,2)),flip(a)]. 12507 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12505(a,1),9735(a,1,2)),flip(a)]. 12508 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(240,a,9781,a(flip),b,12506,a(flip))]. 12509 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12504(a,1),9767(a,1,1))]. 12510 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(11168,a,12509,a)]. 12511 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10971(a,1),12508(a,1,2,1)),flip(a)]. 12512 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(240,a,12507,a,b,12511,a)]. 12514 (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(12512(a,1),10586(a,2,1,1))]. 12515 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12324(a,1),12514(a,2,1))]. 12517 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12505(a,1),12515(a,2,1,1))]. 12518 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7366(a,1),12517(a,1,1,1))]. 12520 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11569(a,1),12518(a,1,1))]. 12521 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(10906(a,1),12520(a,1,1)),flip(a)]. 12522 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(73,a,12521,a(flip),b,671,a)]. 12524 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(10111,a,12522,a),flip(a)]. 12525 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12082(a,1),12524(a,2,2))]. 12526 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(240,a,12089,a(flip),b,12525,a)]. 12530 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12526,a)]. 12531 (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(12530(a,1),10216(a,1,2))]. 12532 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12145(a,1),12531(a,1,1,2,1))]. 12533 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(484,a,12532,a),flip(a)]. 12534 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12084,a(flip),b,12533,a)]. 12536 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(240,a,476,a,b,12534,a(flip)),flip(a)]. 12537 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(240,a,12503,a(flip),b,12534,a(flip)),flip(a)]. 12538 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(240,a,12193,a(flip),b,12534,a(flip))]. 12539 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12534(a,1),118(a,1,1)),flip(a)]. 12541 L(x,y,a(z,u,z)) = x. [para(12534(a,1),12530(a,1,3))]. 12542 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(240,a,12083,a,b,12541,a),flip(a)]. 12543 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(240,a,235,a(flip),b,12541,a(flip)),flip(a)]. 12544 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12541(a,1),501(a,1,2))]. 12545 a(x,y,x) * z != (a(x,y,x) * u) * w | u * w = z. [para(12541(a,1),439(a,1,2)),flip(a)]. 12547 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12541(a,1),443(a,1,2,1)),flip(a)]. 12548 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12541(a,1),12090(a,1,2))]. 12551 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(240,a,11555,a,b,12537,a)]. 12552 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12537(a,1),12510(a,1,2)),flip(a)]. 12553 L(x,y,a(z,u,z)) != w | w = x. [para(12542(a,1),12092(a,1))]. 12554 (a(x,y,x) * z) \ u != w | z \ (a(x,y,x) \ u) = w. [para(235(a,1),12553(a,1)),flip(b)]. 12555 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11693,a,12551,a),flip(a)]. 12557 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5447(a,1),12538(a,1,2)),flip(a)]. 12558 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (L(u,z,a(x,y,x)) * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [hyper(73,a,12539,a(flip),b,453,a)]. 12559 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12539(a,1),24(a,2,1)),flip(a)]. 12560 a(x,y,x) * ((x \ z) * u) = (L(x,y,x) \ z) * u. [para(12105(a,1),12539(a,1,1)),flip(a)]. 12561 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),12544(a,1,1)),flip(a)]. 12562 (1 / x) * a(y,z,y) = a(y,z,y) / x. [hyper(75,a,64,a(flip),b,12548,a),flip(a)]. 12563 (a(x,y,x) * (z * u)) \ ((z * a(x,y,x)) * (u * w)) = L(w,u,z * a(x,y,x)). [para(12548(a,1),28(a,2,1)),flip(a)]. 12564 a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. [para(9651(a,1),12548(a,1,1)),flip(a)]. 12566 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),12555(a,1,2))]. 12567 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(81,a,12561,a),flip(a)]. 12568 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(240,a,9651,a(flip),b,12552,a)]. 12570 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(9759,a,12568,a),flip(a)]. 12571 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(468(a,1),12568(a,1,2)),flip(a)]. 12572 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(10015,a,12571,a),flip(a)]. 12573 (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). [para(12572(a,1),7443(a,1,1,2))]. 12574 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(240,a,11079,a,b,12566,a(flip)),flip(a)]. 12575 a(x,x \ y,x) * ((y * x) \ z) = K(x,x \ y) * ((x * y) \ z). [para(9603(a,1),12564(a,1,2))]. 12576 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(10419,a,12570,a)]. 12577 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(240,a,11862,a(flip),b,12576,a(flip)),flip(a)]. 12579 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(240,a,12009,a(flip),b,12577,a(flip)),flip(a)]. 12581 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(240,a,11640,a(flip),b,12579,a(flip))]. 12582 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12106(a,1),12536(a,1,1,1))]. 12583 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(240,a,11511,a(flip),b,12557,a(flip)),flip(a)]. 12584 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(7444,a,12573,a),flip(a)]. 12585 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(240,a,11465,a(flip),b,12574,a(flip))]. 12586 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(240,a,12347,a,b,12585,a),flip(a)]. 12588 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(240,a,11719,a(flip),b,12581,a(flip)),flip(a)]. 12589 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6450(a,1),12588(a,1,1))]. 12590 R(K(x,y),K(x,z),u) = K(x,y). [para(4025(a,1),12589(a,2,1))]. 12591 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12589(a,2),4977(a,1,1))]. 12596 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12590(a,1),118(a,1,1)),flip(a)]. 12597 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(6439,a,12591,a)]. 12598 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12591(a,1),6439(a,1))]. 12599 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [hyper(240,a,12,a,b,12597,a),flip(a)]. 12600 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(240,a,12589,a(flip),b,12597,a(flip)),flip(a)]. 12601 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(203(a,2),12597(a,2,2)),flip(a)]. 12605 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12597(a,1),12285(a,1,2))]. 12606 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. [para(12597(a,1),12295(a,1,2))]. 12607 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12597(a,1),12308(a,2,1,2))]. 12608 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6518,a,12600,a),flip(a)]. 12610 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12599(a,1),85(a,1)),flip(b)]. 12611 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12589(a,1),12610(a,1))]. 12612 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(12298,a,12605,a)]. 12613 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12605(a,1),12197(a,1,1)),flip(a)]. 12615 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(10283,a,12601,a)]. 12616 L(x,K(y,z),K(y,u)) = x. [hyper(438,a,12596,a)]. 12617 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(240,a,5739,a(flip),b,12616,a(flip)),flip(a)]. 12618 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(240,a,5883,a(flip),b,12617,a(flip))]. 12620 a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. [para(12292(a,1),12606(a,1))]. 12621 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(240,a,8825,a(flip),b,12615,a(flip))]. 12622 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(12610,a,12621,a)]. 12623 K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. [para(12621(a,1),12610(a,1))]. 12624 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),12622(a,1,2)),flip(a)]. 12625 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(12622(a,1),11912(a,1,2))]. 12626 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(2708(a,1),12625(a,1,2,2)),flip(a)]. 12627 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(8001,a,12626,a)]. 12628 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),12626(a,2,2,2))]. 12629 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(12626(a,1),7521(a,2,2))]. 12630 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12626(a,1),7522(a,1,2,2))]. 12631 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(240,a,8000,a(flip),b,12627,a(flip))]. 12632 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12628(a,1),8593(a,2,2))]. 12633 (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(240,a,12404,a(flip),b,12632,a(flip))]. 12635 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(12629(a,2),672(a,1,2,2)),flip(a)]. 12636 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(240,a,8826,a(flip),b,12630,a(flip)),flip(a)]. 12637 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12636(a,1),8420(a,1,2))]. 12638 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(12613(a,1),12331(a,1,1,1))]. 12639 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12611,a,12608,a)]. 12640 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12637(a,1),124(a,1,1)),flip(a)]. 12641 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12637(a,1),4971(a,1,2,2)),flip(a)]. 12642 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(7947,a,12631,a),flip(a)]. 12643 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8001,a,12642,a)]. 12644 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(6684(a,2),12643(a,2,2))]. 12645 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4800(a,2),12607(a,2,1))]. 12646 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(8506(a,1),12618(a,1,2)),flip(a)]. 12647 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(240,a,5166,a(flip),b,12646,a)]. 12648 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8131(a,1),12647(a,2,2))]. 12649 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(12648(a,1),11756(a,1,2)),flip(a)]. 12650 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(118(a,1),12582(a,1,1))]. 12652 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),12586(a,1,2))]. 12653 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9659,a,12652,a)]. 12654 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(240,a,12537,a(flip),b,12653,a)]. 12655 L(a(x,y,x),z,u) = a(x,y,x). [hyper(240,a,12232,a(flip),b,12654,a(flip)),flip(a)]. 12657 a(x,y * K(z,y),x) = a(x,y,x). [hyper(240,a,12538,a,b,12655,a(flip)),flip(a)]. 12659 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12655(a,1),106(a,1,2))]. 12661 a(x,T(y,z),x) = a(x,y,x). [para(4812(a,1),12657(a,1,2)),flip(a)]. 12662 a(x,y / z,x) = a(x,z \ y,x). [para(4813(a,1),12657(a,1,2))]. 12665 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(196(a,1),12661(a,1,2)),flip(a)]. 12666 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(492(a,1),12661(a,1,2)),flip(a)]. 12667 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(12661(a,1),12119(a,1,1))]. 12669 R(x,y,a(z,u,z)) = x. [hyper(4689,a,12659,a)]. 12670 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(582,a,12659,a)]. 12671 ((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(12659(a,1),475(a,1,1))]. 12672 (x * (y \ z)) * a(y,u,y) = x * (L(y,u,y) \ z). [para(10910(a,1),12659(a,2,2))]. 12673 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12226,a,12669,a)]. 12674 R(x,y,a(z,u,z)) = L(x,w,a(v5,v6,v5)). [hyper(240,a,12541,a,b,12669,a)]. 12676 R(x,y,a(z,u,z)) != w | w = x. [para(12674(a,2),330(a,1))]. 12677 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12670(a,1),12110(a,1))]. 12678 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12659(a,1),12670(a,1,2))]. 12679 T(x,y * a(z,u,z)) = T(x,y). [hyper(12553,a,12673,a)]. 12680 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12673(a,1),12553(a,1)),flip(b)]. 12682 T(x,(y * z) * y) = T(x,y * (z * y)). [para(94(a,1),12679(a,1,2))]. 12683 K(x * a(y,z,y),u) = u / T(u,x). [para(12679(a,1),4750(a,2,2))]. 12684 T(x,T(y,z) / z) = T(x,z \ y). [para(9643(a,1),12679(a,1,2))]. 12685 T(x,y * L(z,u,z)) = T(x,y * z). [para(10902(a,1),12679(a,1,2)),flip(a)]. 12686 T(x,a(y,z,y) \ u) = T(x,u). [para(12079(a,1),12679(a,1,2)),flip(a)]. 12687 T(x,a(y,z,y) * u) = T(x,u). [para(12084(a,2),12679(a,1,2))]. 12688 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(240,a,4800,a(flip),b,12686,a)]. 12689 T(x,K(y,z) * (K(z,y * z) * u)) = T(x,u). [para(12077(a,2),12686(a,1,2))]. 12690 K(x * a(y,z,y),u) = K(x,u). [hyper(240,a,4750,a,b,12683,a)]. 12691 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(12683(a,2),4833(a,1))]. 12692 K(x / L(y,z,y),u) = K(x / y,u). [para(10888(a,1),12690(a,1,1))]. 12694 K(R(x,y,x) * z,u) = K(x * z,u). [para(11560(a,1),12690(a,1,1))]. 12695 K(a(x,y,x) * z,u) = K(z,u). [para(12084(a,2),12690(a,1,1))]. 12696 K(x * (y * a(z,u,z)),w) = K(x * y,w). [para(12659(a,1),12690(a,1,1))]. 12697 K(x \ (y * a(z,u,z)),w) = K(x \ y,w). [para(12670(a,2),12690(a,1,1))]. 12698 K(R(x,y,x) \ z,u) = K(x \ z,u). [para(12133(a,1),12695(a,1,1)),flip(a)]. 12700 T(x,y * T(z,z * u)) = T(x,y * T(z,u)). [para(7053(a,1),12685(a,1,2,2))]. 12701 K(x,a(y,z,y) \ u) = K(x,u). [hyper(4858,a,12688,a)]. 12702 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),12701(a,1,2)),flip(a)]. 12703 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9623(a,1),12701(a,1,2,1))]. 12704 K(x,y * L(z,u,z)) = K(x,y * z). [para(12078(a,1),12701(a,1,2))]. 12705 K(x,a(y,z,y) * u) = (u * x) \ (x * u). [hyper(240,a,26,a(flip),b,12702,a)]. 12706 K(x,y * a(z,u,z)) = K(x,y). [para(12084(a,1),12702(a,1,2))]. 12707 K(x,R(y,z,y) * u) = K(x,y * u). [para(12102(a,1),12702(a,1,2))]. 12708 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(12105(a,1),12702(a,1,2))]. 12709 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(12133(a,1),12702(a,1,2)),flip(a)]. 12710 K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). [para(12560(a,1),12702(a,1,2))]. 12711 K(x,T(y,z) / z) = K(x,z \ y). [para(9643(a,1),12706(a,1,2))]. 12712 K(x,L(T(y,z) / z,u,w)) = L(K(x,z \ y),u,w). [para(12711(a,1),11248(a,1,1)),flip(a)]. 12714 K(x / ((y \ z) \ z),u) = K(x / T(y,z),u). [para(11841(a,1),12692(a,1,1,2)),flip(a)]. 12716 K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). [para(7383(a,1),12694(a,1,1,1))]. 12717 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(7383(a,1),12698(a,1,1,1))]. 12718 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(12703(a,1),6671(a,1,1))]. 12720 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(11841(a,1),12704(a,1,2,2)),flip(a)]. 12722 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(7385(a,1),12707(a,1,2,1)),flip(a)]. 12723 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(7383(a,1),12707(a,1,2,1))]. 12724 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(5441(a,1),12708(a,1,2,1))]. 12726 K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). [para(6935(a,1),12708(a,1,2,1))]. 12728 (K(x,y \ 1) * z) * y = K(x,y \ 1) * (z * y). [para(12709(a,1),6423(a,1,1)),flip(a)]. 12729 T(x,a(y,z,y) * u) != w | T(x,u) = w. [para(12084(a,2),12680(a,1,2))]. 12730 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5446(a,1),12682(a,1,2)),flip(a)]. 12731 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(9643(a,1),12691(a,1,1))]. 12732 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12084(a,2),12691(a,1,1))]. 12733 K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. [para(12564(a,1),12732(a,1,1))]. 12734 K(x * (T(y,z) / z),u) = K(x * (z \ y),u). [para(9643(a,1),12696(a,1,1,2))]. 12735 K(x * K(y,y \ z),u) = K(x * K(y,z),u). [para(9651(a,1),12696(a,1,1,2))]. 12736 K(K(x,x * y) * z,u) = K(K(x,y) * z,u). [para(10731(a,1),12696(a,1,1)),flip(a)]. 12737 K(x \ L(y,z,y),u) = K(x \ y,u). [para(10892(a,1),12697(a,1,1,2)),flip(a)]. 12738 K(x \ T(y * z,y),u) = K(x \ (z * y),u). [para(11559(a,1),12697(a,1,1,2))]. 12739 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [para(11841(a,1),12737(a,1,1,2)),flip(a)]. 12740 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(12705(a,2),269(a,1))]. 12742 K(x / T(y,x),z) = K(y \ x,z). [hyper(12731,a,9482,a),flip(a)]. 12743 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3954(a,1),12731(a,1,1))]. 12744 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12742(a,1),9479(a,2,2))]. 12745 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [para(5178(a,1),12689(a,1,2,2)),flip(a)]. 12746 T(x,K(y,z * y) * u) = T(x,K(y,z) * u). [para(6863(a,1),12689(a,1,2))]. 12747 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(73,a,12700,a(flip),b,4800,a(flip)),flip(a)]. 12748 K(T(x / y,x) * z,u) = K((y \ x) * z,u). [para(65(a,1),12716(a,1,1,1,1)),flip(a)]. 12749 K(T((x \ y) * z,y \ x) * u,w) = K(T((x \ y) * z,z) * u,w). [para(6089(a,2),12716(a,1,1,1))]. 12750 K(T(x,y) \ y,z) = K(y / x,z). [hyper(8048,a,12717,a),flip(a)]. 12751 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(65(a,1),12717(a,1,1,1,1)),flip(a)]. 12752 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [para(12717(a,1),7098(a,1,1,2)),flip(a)]. 12753 K(x \ T(y,x),z) = K(y / x,z). [para(3924(a,1),12750(a,1,1))]. 12754 K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). [hyper(240,a,10023,a(flip),b,12753,a(flip)),flip(a)]. 12755 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(y / x,(x \ T(y,x)) \ z). [para(12753(a,1),4976(a,1,2)),flip(a)]. 12757 K(x,y * T(z,z \ u)) = K(x,y * T(z,u)). [para(123(a,2),12720(a,1,2,2))]. 12758 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(65(a,1),12723(a,1,2,1,1)),flip(a)]. 12759 T(x / y,x) * (z / T(x / y,x)) = z * K(T(x / y,x),(y \ x) \ z). [para(12724(a,1),4976(a,1,2)),flip(a)]. 12760 K(x * (T(y,z) / z),u) = w / (K(u,x * (z \ y)) * w). [hyper(240,a,5184,a,b,12734,a)]. 12761 K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). [para(108(a,2),12734(a,2,1,2))]. 12762 K(x * (y / T(z,y)),u) = K(x * (z \ y),u). [para(3954(a,1),12734(a,1,1,2))]. 12763 K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). [para(14(a,1),12738(a,1,1,2,1)),flip(a)]. 12764 K(x \ T(y * z,z),u) = K(x \ (T(y,z) * z),u). [para(122(a,1),12738(a,1,1,2,1))]. 12765 K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (y * z)). [hyper(240,a,10026,a(flip),b,12739,a(flip)),flip(a)]. 12766 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12744(a,1),11095(a,1,1,2))]. 12767 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(6469(a,1),12745(a,1,2,1))]. 12768 K(x \ y,z * T(x,y)) = K(x \ y,z * x). [hyper(8210,a,12757,a),flip(a)]. 12769 T(x,y \ ((z \ u) * z)) = (x * w) / (K(y \ T(u,z),x) * w). [para(12763(a,1),5083(a,1,2,1)),flip(a)]. 12771 K(x,T(y \ ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y \ T(u,z),x))) / w). [para(12763(a,1),8737(a,1,2,1,2,2)),flip(a)]. 12772 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),12767(a,1,2,1,1)),flip(a)]. 12773 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(73,a,12772,a(flip),b,4800,a(flip)),flip(a)]. 12774 T(x,K(y * (z * u),z) * w) = T(x,K(y * u,z) * w). [para(10140(a,1),12772(a,1,2,1)),flip(a)]. 12775 K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). [para(11841(a,1),12710(a,1,2,1,1)),flip(a)]. 12778 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(12672(a,1),12706(a,1,2))]. 12779 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(5441(a,1),12778(a,1,2,2,1))]. 12781 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(11841(a,1),12778(a,1,2,2,1)),flip(a)]. 12783 K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(12712(a,2),11281(a,1))]. 12784 L(x,y,K(z,x \ 1)) = x. [hyper(4679,a,12728,a)]. 12785 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(12747(a,2),4860(a,1))]. 12786 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(240,a,4753,a,b,12773,a)]. 12787 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(12773(a,2),4860(a,1))]. 12788 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(9467(a,1),12786(a,1,2,1))]. 12789 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(240,a,12665,a(flip),b,12666,a(flip)),flip(a)]. 12790 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(12113,a,12678,a),flip(a)]. 12791 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12752(a,2),7112(a,1))]. 12792 K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. [para(12760(a,2),5194(a,1))]. 12793 K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. [para(10259(a,1),12792(a,1,1,2,1))]. 12794 K(x,(T(y,z) \ z) * u) = K(x,T(y \ z,z) * u). [hyper(240,a,12723,a(flip),b,12775,a(flip))]. 12795 K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). [para(5077(a,1),12775(a,1,2,1,1,1))]. 12796 K(x,T(y \ z,z) * u) = K(x,(y \ T(z,y)) * u). [para(3924(a,1),12794(a,1,2,1)),flip(a)]. 12797 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(5379(a,1),12779(a,1,2))]. 12798 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [hyper(10836,a,12718,a),flip(a)]. 12800 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12114(a,1),12798(a,1,2,1))]. 12802 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(12103(a,1),12800(a,1,2,1))]. 12803 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(12107(a,1),12800(a,1,2,1))]. 12804 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(12543(a,1),12800(a,1,2))]. 12805 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(13(a,1),12804(a,1,2,2)),flip(a)]. 12806 K(x,y \ R(z,u,z)) = K(x,y \ z). [para(9635(a,1),12804(a,1,2,2)),flip(a)]. 12807 K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). [para(9622(a,1),12804(a,1,2,2))]. 12808 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(4224(a,1),12806(a,1,2,2))]. 12809 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(7385(a,1),12806(a,1,2,2)),flip(a)]. 12811 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9621(a,1),12805(a,1,2,2))]. 12812 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(12103(a,1),12805(a,1,2,2))]. 12813 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [hyper(240,a,6671,a,b,12802,a),flip(a)]. 12814 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12802(a,1,2,1,1)),flip(a)]. 12815 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),12803(a,1,2,1,1)),flip(a)]. 12816 K(x \ y,z \ T(x,y)) = K(x \ y,z \ x). [hyper(8211,a,12808,a),flip(a)]. 12817 K(x,y \ T(K(z,u) * w,T(z,u))) = K(x,y \ ((z \ w) * T(z,u))). [para(4780(a,1),12812(a,1,2,2,1))]. 12818 K(x,T(y,z) \ z) = K(x,z / y). [hyper(8236,a,12814,a),flip(a)]. 12819 K(x \ y,y \ (x * (z / x))) = K(y / x,T(y,x) \ z). [hyper(240,a,10422,a(flip),b,12814,a(flip)),flip(a)]. 12820 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(12814(a,1),8236(a,1))]. 12821 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(3924(a,1),12820(a,1,2))]. 12822 K(x \ T(y,z),y \ z) = u / (K(y \ z,x \ y) * u). [para(12816(a,1),5184(a,1,2,1)),flip(a)]. 12823 K(x \ T(y,z),y \ z) != u | K(x \ y,y \ z) = u. [para(12822(a,2),5194(a,1))]. 12824 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(12813(a,1),9363(a,1))]. 12825 T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). [hyper(240,a,5083,a(flip),b,12769,a)]. 12826 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4740(a,1),12730(a,1,2,2))]. 12827 K(x / y,(y \ T(x,y)) \ z) = K(x / y,T(x,y) \ (y * z)). [hyper(240,a,12753,a(flip),b,12754,a(flip))]. 12828 K(x,y \ T(z * K(u,w),u)) = K(x,y \ ((u \ z) * T(u,w))). [para(7058(a,1),12817(a,1,2,2))]. 12829 K(x * L(y \ z,y,u),w) = K(x * ((u * y) \ (u * z)),w). [hyper(12792,a,12761,a),flip(a)]. 12830 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(8762(a,1),12829(a,2,1,2,2))]. 12831 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),12766(a,1,1))]. 12832 L(x,K(y \ x,z),x) = x. [hyper(7656,a,12831,a)]. 12834 L(x,K(y,z),x) = x. [para(65(a,1),12832(a,1,2,1))]. 12835 T(K(x,y) * z,z) = z * K(x,y). [hyper(240,a,9749,a(flip),b,12834,a(flip)),flip(a)]. 12836 (x * K(y,z)) * x = x * (K(y,z) * x). [para(12834(a,1),106(a,1,2))]. 12837 (x * (K(y,z) * x)) / x = x * K(y,z). [para(12834(a,1),142(a,1,2))]. 12841 (K(x,y) * z) * z = z * (z * K(x,y)). [para(12835(a,1),122(a,1,2)),flip(a)]. 12842 T(K(x,y) * z,u) * z = z * T(z * K(x,y),u). [para(12835(a,1),191(a,1,2,1)),flip(a)]. 12843 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(5037(a,1),12835(a,1,1))]. 12845 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). [para(12837(a,1),8740(a,1,2,1,2))]. 12846 T((x * K(y,z)) * x,K(x,u)) / x = T(K(y,z) * x,T(x,u)). [hyper(75,a,6178,a,b,12842,a)]. 12847 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(5818,a,12843,a)]. 12848 T(x * (K(y,z) * x),K(x,u)) / x = T(K(y,z) * x,T(x,u)). [para(12836(a,1),12846(a,1,1,1))]. 12849 (x * T(K(y,z) * x,K(x,u))) / x = T(K(y,z) * x,T(x,u)). [para(6902(a,1),12848(a,1,1))]. 12850 (x * (x * T(K(y,z),T(x,u)))) / x = T(K(y,z) * x,T(x,u)). [para(6178(a,1),12849(a,1,1,2))]. 12851 T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). [para(7145(a,1),12759(a,2,2))]. 12852 T(x / y,x) * (z / T(x / y,x)) = (y \ x) * (z / (y \ x)). [hyper(240,a,4976,a(flip),b,12851,a)]. 12853 T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. [para(12851(a,2),5138(a,1))]. 12854 K((x * y) \ (z * y),z \ (x * y)) = K(x \ T(z,x * y),z \ (x * y)). [hyper(240,a,10029,a(flip),b,12765,a(flip)),flip(a)]. 12855 K((x * y) \ (z * y),z \ (x * y)) != u | K(x \ z,z \ (x * y)) = u. [para(12854(a,2),12823(a,1))]. 12856 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12677,a,12790,a),flip(a)]. 12857 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(12083(a,1),12856(a,1,1))]. 12858 L(x,a(y,z,y),u) = x. [hyper(240,a,12541,a(flip),b,12857,a)]. 12861 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(240,a,235,a(flip),b,12858,a(flip)),flip(a)]. 12862 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12858(a,1),106(a,1,2))]. 12864 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [para(12084(a,2),12861(a,1,1))]. 12865 R(x,a(y,z,y),u) = x. [hyper(4588,a,12862,a)]. 12866 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [hyper(240,a,12548,a(flip),b,12862,a(flip)),flip(a)]. 12867 a(x,y,x) \ (z * (a(x,y,x) * u)) = z * u. [hyper(73,a,12862,a(flip),b,12548,a(flip))]. 12868 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(12862(a,1),24(a,2,1,2)),flip(a)]. 12869 (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. [para(12079(a,1),12862(a,1,1)),flip(a)]. 12870 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12862(a,1),12650(a,1,1,1))]. 12871 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). [para(12659(a,1),12862(a,1,1))]. 12872 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(494,a,12865,a)]. 12873 R(x,y \ R(y,z,y),u) = x. [para(9623(a,1),12865(a,1,2))]. 12874 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(240,a,12339,a,b,12873,a(flip)),flip(a)]. 12875 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12122(a,1),12872(a,1,2))]. 12876 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(240,a,12081,a(flip),b,12875,a)]. 12877 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(12875(a,2),12086(a,1))]. 12878 (x / y) * (z \ L(z,u,z)) = (a(z,u,z) \ x) / y. [hyper(240,a,12567,a,b,12876,a)]. 12879 a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u). [hyper(12554,a,12864,a),flip(a)]. 12880 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(555,a,12866,a)]. 12881 x * (a(y,z,y) * (x \ u)) = a(y,z,y) * u. [hyper(310,a,12866,a),flip(a)]. 12882 a(x,y,x) * (z * (a(x,y,x) \ u)) = z * u. [hyper(240,a,91,a(flip),b,12866,a)]. 12883 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(73,a,91,a(flip),b,12866,a)]. 12884 (x * (a(y,z,y) * u)) \ w != v5 | (x * u) \ (a(y,z,y) \ w) = v5. [para(12866(a,1),12554(a,1,1))]. 12885 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(12866(a,1),12687(a,1,2))]. 12886 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(12866(a,1),12702(a,1,2))]. 12887 T(x,y * (a(z,u,z) \ w)) = T(x,y * w). [para(14(a,1),12885(a,1,2,2)),flip(a)]. 12888 T(x,y * T(z * u,z)) = T(x,y * (u * z)). [para(12103(a,1),12885(a,1,2,2))]. 12889 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(14(a,1),12886(a,1,2,2)),flip(a)]. 12890 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(9638(a,1),12886(a,1,2,2)),flip(a)]. 12891 T(x,L(y,z,y) * u) = T(x,y * u). [para(12087(a,1),12887(a,1,2))]. 12892 K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). [para(9622(a,1),12889(a,1,2,2))]. 12893 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(401,a,xx,b,12869,a)]. 12894 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [hyper(75,a,16,a(flip),b,12869,a)]. 12895 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(73,a,14,a(flip),b,12869,a)]. 12897 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(9847(a,2),12874(a,1,1,2))]. 12898 a(x,y,x) \ (z \ x) = z \ L(x,y,x). [para(10894(a,1),12879(a,2,2))]. 12899 K(x,y * (z \ L(u,w,u))) = K(x,y * (z \ u)). [para(12898(a,1),12889(a,1,2,2))]. 12900 x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. [para(12881(a,1),241(a,1,2)),flip(b)]. 12901 (a(x,y,x) * z) * (a(x,y,x) \ u) = z * u. [hyper(12545,a,12882,a),flip(a)]. 12902 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(12882(a,1),12886(a,1,2,2)),flip(a)]. 12903 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [para(14(a,1),12888(a,1,2,2,1)),flip(a)]. 12904 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9633(a,1),12894(a,1,2)),flip(a)]. 12905 L(x,y,x) * (z / x) = x * (z / R(x,y,x)). [para(12904(a,1),12087(a,1,2)),flip(a)]. 12906 (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. [para(12904(a,1),12869(a,1,1))]. 12907 a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u. [para(12078(a,1),12895(a,1,1)),flip(a)]. 12908 x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). [hyper(75,a,16,a(flip),b,12901,a)]. 12909 a(x,y,x) * (z / (u / x)) = z / (u / R(x,y,x)). [para(12904(a,1),12908(a,1,2)),flip(a)]. 12910 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [para(11841(a,1),12899(a,1,2,2,2)),flip(a)]. 12911 (L(x,y,x) * (x \ z)) / u = (z / u) * (x \ L(x,y,x)). [para(12099(a,2),12878(a,2,1)),flip(a)]. 12912 K(x,x \ y) * ((x * y) \ z) = (y * L(x,x \ y,x)) \ z. [hyper(240,a,12575,a(flip),b,12907,a(flip)),flip(a)]. 12913 K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). [para(12907(a,1),12886(a,1,2,2))]. 12914 (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). [para(12909(a,1),12906(a,1,2))]. 12915 K(x,y * (z * K(u \ w,u))) = K(x,y * (z * K(w,u))). [para(9622(a,1),12902(a,1,2,2,2))]. 12916 K(x,y * (K(z,z * u) * w)) = K(x,y * (K(z,u) * w)). [para(12076(a,1),12902(a,1,2,2))]. 12917 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ T(u * w,w))). [para(3892(a,2),12910(a,1,2,2,2))]. 12918 ((x * y) / z) * (x \ L(x,u,x)) = (L(x,u,x) * y) / z. [para(13(a,1),12911(a,1,1,2)),flip(a)]. 12919 K(x,y * ((z * u) * K(u,w))) = K(x,y * (z * ((w \ u) * w))). [para(10032(a,1),12915(a,1,2,2)),flip(a)]. 12920 a(x,y,x) \ ((x * z) / u) = (L(x,y,x) * z) / u. [hyper(12877,a,12918,a)]. 12921 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(240,a,12904,a(flip),b,12920,a(flip))]. 12922 K(x,x \ y) * ((x * y) \ z) = (x * ((x \ y) * x)) \ z. [para(435(a,1),12912(a,2,1))]. 12923 K(x,y * ((z * (1 / u)) \ w)) = K(x,y * ((z * (u \ 1)) \ w)). [para(1851(a,1),12913(a,1,2,2,1,2))]. 12924 K(x,y * (z * ((u \ w) * u))) = K(x,y * (z * T(w,u))). [para(5929(a,1),12919(a,1,2,2)),flip(a)]. 12925 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * ((1 / y) \ 1)) \ x)). [para(12923(a,1),11838(a,2,2))]. 12926 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12870(a,1,2,1))]. 12927 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [para(12084(a,1),12893(a,1,2))]. 12928 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(10723,a,12897,a)]. 12929 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(8186,a,12928,a)]. 12930 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12929(a,1),5918(a,1,1)),flip(a)]. 12931 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(240,a,4629,a(flip),b,12930,a)]. 12932 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8677(a,1),12931(a,1,2))]. 12933 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(10329(a,1),12931(a,1,1))]. 12934 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7217(a,2),12932(a,1,1))]. 12935 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(11728(a,1),12933(a,1,1,1))]. 12936 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(240,a,11148,a(flip),b,12934,a(flip)),flip(a)]. 12938 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12936(a,1,2,2)),flip(a)]. 12939 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12938(a,1,2))]. 12940 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(240,a,12864,a(flip),b,12927,a)]. 12941 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12940(a,2,2))]. 12942 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(12680,a,12941,a),flip(a)]. 12944 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12942(a,1),12076(a,1,2))]. 12945 T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). [para(12942(a,1),12895(a,1,1))]. 12946 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12944(a,1,2,1)),flip(a)]. 12947 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(12136,a,12946,a),flip(a)]. 12948 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12947(a,2),8494(a,1,1,2,2))]. 12949 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(12881(a,1),12926(a,1,1,1)),flip(a)]. 12950 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(240,a,30,a,b,12949,a)]. 12952 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12950(a,1,2,2)),flip(a)]. 12953 a(x,R(y,z,u),x) = a(x,y,x). [hyper(240,a,12534,a(flip),b,12952,a(flip))]. 12955 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(240,a,12789,a(flip),b,12953,a(flip)),flip(a)]. 12956 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12953(a,1),9652(a,1,1)),flip(a)]. 12957 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12953(a,1),12103(a,1,1))]. 12959 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(11(a,1),12955(a,1,2,2))]. 12960 a(x,y * (z \ 1),x) = a(x,z \ y,x). [para(129(a,1),12955(a,1,2))]. 12961 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12955(a,1),12100(a,1,2,1)),flip(a)]. 12962 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(240,a,12662,a,b,12959,a(flip)),flip(a)]. 12963 (K(x,y) * (z \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. [para(12960(a,1),9648(a,1,2))]. 12964 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(4706(a,1),12962(a,1,2,2)),flip(a)]. 12965 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(240,a,9652,a(flip),b,12956,a)]. 12966 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12965(a,1),12389(a,1,2))]. 12967 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12128,a,12957,a)]. 12968 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12967(a,2),3937(a,1,1))]. 12969 L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. [para(12961(a,2),12135(a,1))]. 12970 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(742(a,1),12966(a,1,2)),flip(a)]. 12972 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12970(a,1),4750(a,2,2)),flip(a)]. 12973 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(240,a,12376,a(flip),b,12972,a(flip)),flip(a)]. 12974 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12292(a,1),12973(a,1,1))]. 12975 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(240,a,12415,a,b,12974,a(flip))]. 12976 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(616(a,1),12975(a,2,1,2))]. 12977 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(8191,a,12976,a)]. 12978 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12976(a,1,1))]. 12979 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(240,a,9508,a(flip),b,12978,a(flip)),flip(a)]. 12980 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(240,a,10368,a(flip),b,12979,a(flip)),flip(a)]. 12981 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4994(a,1),12980(a,2,1))]. 12982 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. [hyper(240,a,12672,a(flip),b,12963,a(flip)),flip(a)]. 12983 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. [para(11248(a,1),12982(a,2,1))]. 12984 K(x,L(y,z \ 1,z)) / z != K(x,y) * u | L(z,z \ K(x,y),z) \ 1 = u. [para(12983(a,1),19(a,1))]. 12985 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(240,a,11563,a(flip),b,12968,a(flip)),flip(a)]. 12986 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12976(a,1),12977(a,1,1))]. 12987 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,z * a(x,y,x)). [para(12548(a,1),12563(a,1,2))]. 12988 K(x,(T(T(y,z),y * u) \ w) * v5) = K(x,(T(T(y,z),u) \ w) * v5). [para(7286(a,1),12795(a,1,2,1,1)),flip(a)]. 12989 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12084(a,2),12987(a,2,3))]. 12990 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(772,a,12989,a)]. 12991 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(12553,a,12990,a)]. 12992 L(x,y,a(z,u,z) * w) != v5 | L(x,y,w) = v5. [para(12990(a,1),12553(a,1)),flip(b)]. 12994 L(x,y,R(z,u,z)) = L(x,y,z). [para(9633(a,1),12991(a,1,3))]. 12995 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9638(a,1),12991(a,1,3)),flip(a)]. 12996 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9621(a,1),12991(a,1,3))]. 12997 L(x,y,L(z,u,z)) = L(x,y,z). [para(10893(a,1),12991(a,1,3)),flip(a)]. 12998 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(12084(a,1),12991(a,1,3))]. 12999 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(12103(a,1),12991(a,1,3))]. 13000 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(12107(a,1),12991(a,1,3))]. 13001 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(12105(a,1),12991(a,1,3))]. 13003 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(4224(a,1),12994(a,1,3))]. 13004 ((x * (y * x)) / x) \ (L(x,y,x) * z) = L(y \ z,y,x). [hyper(240,a,4188,a(flip),b,12997,a(flip)),flip(a)]. 13005 L(x,y,z * (u * a(w,v5,w))) = L(x,y,z * u). [para(12659(a,1),12998(a,1,3))]. 13006 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(z / ((u \ w) \ w),z)). [para(638(a,1),12995(a,1,3,2)),flip(a)]. 13007 L(x,y \ z,K(y,z)) = x. [hyper(5396,a,12996,a)]. 13008 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(14(a,1),12999(a,1,3,1)),flip(a)]. 13009 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(14(a,1),13000(a,1,3,1)),flip(a)]. 13010 L(x,y,K(z \ (u * w),w)) = L(x,y,K(z \ u,w)). [para(11028(a,2),13000(a,1,3))]. 13011 L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). [para(6091(a,1),13003(a,1,3))]. 13012 L(x,y,L(z \ u,z,w / u) * ((w / u) * z)) = L(x,y,T(w,(w / u) * z)). [para(459(a,2),13008(a,1,3,1))]. 13013 L(x,y,T((z \ u) * z,w)) = L(x,y,T(T(u,w),z)). [para(4535(a,2),13008(a,1,3))]. 13014 L(x,y / z,K(y,z)) = x. [hyper(7016,a,13009,a)]. 13015 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13014(a,1),5222(a,1,2)),flip(a)]. 13016 L(x,y,z / T(u,z)) = L(x,y,u \ z). [para(6764(a,1),13001(a,1,3))]. 13017 L(x,y,R(z,u,z)) != w | L(x,y,z) = w. [para(9633(a,1),12992(a,1,3))]. 13020 L(x,y,T(z * u,z)) != w | L(x,y,u * z) = w. [para(12103(a,1),12992(a,1,3))]. 13021 L(x,y,z * (a(u,w,u) * v5)) != v6 | L(x,y,z * v5) = v6. [para(12866(a,1),12992(a,1,3))]. 13023 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5191,a,13015,a)]. 13024 R(K(x,y),x \ y,z) = K(x,y). [hyper(8905,a,13023,a)]. 13025 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),13024(a,1,2))]. 13027 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(240,a,11715,a,b,13025,a(flip)),flip(a)]. 13028 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13027(a,1),4800(a,2,2))]. 13029 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13027(a,1),11720(a,1,1))]. 13030 L(x,y,z * K(u * w,u)) = L(x,y,z * K(w,u)). [para(9639(a,1),13005(a,1,3,2))]. 13031 L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). [para(9651(a,1),13005(a,1,3,2))]. 13032 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(240,a,4800,a,b,13028,a)]. 13033 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(240,a,4430,a(flip),b,13032,a(flip)),flip(a)]. 13034 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),13033(a,1,2,1,2))]. 13035 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(240,a,8643,a,b,13034,a(flip)),flip(a)]. 13036 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(240,a,4800,a(flip),b,13035,a),flip(a)]. 13037 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4800,a(flip),b,13036,a),flip(a)]. 13038 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8625,a,13037,a)]. 13039 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13037(a,1),7680(a,1,1,2))]. 13040 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13038(a,1),6354(a,1,1))]. 13041 L(x,y,T(z * u,u \ 1)) != w | L(x,y,u * z) = w. [para(13011(a,2),13020(a,1))]. 13042 L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(v6,u)). [para(10979(a,1),13030(a,1,3,2)),flip(a)]. 13043 L(x,y,z / ((u \ w) * u)) = L(x,y,(z / w) * K(u,w)). [para(9935(a,1),13031(a,1,3))]. 13044 L(x,y,T(T(z,u \ 1),u)) = L(x,y,u * (u \ z)). [hyper(13041,a,13013,a),flip(a)]. 13045 L(x,y,T(T(z,u \ 1),u)) = L(x,y,z). [para(14(a,1),13044(a,2,3))]. 13046 L(x,y,T(z \ u,z \ 1)) = L(x,y,u / z). [para(194(a,1),13045(a,1,3))]. 13048 L(x,y,z / ((u \ w) * u)) = L(x,y,z / T(w,u)). [para(7104(a,1),13043(a,2,3))]. 13049 L(x,y,T(z,z \ u) / u) = L(x,y,z / T(u,z)). [para(4055(a,2),13048(a,1,3))]. 13050 L(x,y,T(z,z \ u) / u) = L(x,y,u \ z). [hyper(240,a,13016,a(flip),b,13049,a)]. 13051 L(x,y,(z * (u / z)) \ z) = L(x,y,T(u / (u / z),(u / (u / z)) \ u) / u). [para(10188(a,2),13050(a,2,3)),flip(a)]. 13052 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7911,a,13039,a),flip(a)]. 13053 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(240,a,8403,a(flip),b,13052,a(flip)),flip(a)]. 13054 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9376,a,13053,a)]. 13055 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(240,a,6354,a(flip),b,13040,a(flip))]. 13056 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(240,a,13038,a(flip),b,13029,a)]. 13058 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),13056(a,2,2,2))]. 13059 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12610,a,13058,a)]. 13060 L(x,y,K(((z \ u) \ u) \ w,w)) = L(x,y,K(w / ((z \ u) \ u),T(z,z \ u))). [para(6035(a,1),13006(a,2,3)),flip(a)]. 13061 L(x,y,(z * (u / z)) \ z) = L(x,y,z / u). [para(283(a,1),13051(a,2,3,1))]. 13062 L(x,y,z / (u * z)) = L(x,y,(z * u) \ z). [para(15(a,1),13061(a,1,3,1,2)),flip(a)]. 13063 L(x,y,(x * y) \ x) \ x = (x / (y * x)) * y. [para(13062(a,1),6698(a,1,1))]. 13064 L(x,y,K(z \ ((u \ z) * w),w)) = L(x,y,K(w / ((u \ z) \ z),T(u,u \ z))). [para(10780(a,1),13060(a,1,3))]. 13065 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(w \ (u \ w),z)). [hyper(240,a,13010,a(flip),b,13064,a(flip))]. 13066 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12539(a,1),12547(a,2,1))]. 13067 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(240,a,3925,a(flip),b,12640,a)]. 13068 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(6964(a,2),13067(a,2,1))]. 13069 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(240,a,12544,a(flip),b,13066,a)]. 13070 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),13069(a,2,2))]. 13071 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12541(a,1),13070(a,1,2))]. 13072 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(13071(a,2),12400(a,1,1,2))]. 13073 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12539(a,1),12559(a,1,2,1))]. 13074 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4931(a,1),12583(a,2,2))]. 13075 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(9647,a,13074,a)]. 13076 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12655(a,1),13075(a,1,1))]. 13077 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(240,a,12662,a(flip),b,13076,a)]. 13079 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),13077(a,2,2))]. 13080 a(x,L(y,z,u),x) = a(x,y,x). [hyper(240,a,12655,a(flip),b,13079,a(flip))]. 13082 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(235(a,1),13080(a,1,2))]. 13083 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13080(a,1),9631(a,1,2)),flip(a)]. 13084 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13080(a,1),10894(a,1,1)),flip(a)]. 13085 R(x,L(y,z,u),x) = R(x,y,x). [hyper(240,a,9631,a(flip),b,13083,a)]. 13086 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(13085(a,1),12381(a,1,2,1))]. 13087 L(x,L(y,z,u),x) = L(x,y,x). [hyper(240,a,10894,a(flip),b,13084,a)]. 13088 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1773(a,2),13087(a,1,2)),flip(a)]. 13089 K(x,T(y \ ((z \ u) * z),w)) != v5 | K(x,T(y \ T(u,z),w)) = v5. [para(12771(a,2),8738(a,1))]. 13090 (x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),w). [para(12871(a,1),12868(a,1,2))]. 13091 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12539(a,1),13073(a,1,2))]. 13093 a(x,y * a(z,u,z),w) != v5 | a(x,y,a(z,u,z) * w) = v5. [para(13090(a,1),669(a,1))]. 13094 (x * (a(y,z,y) * (u * w))) \ ((x * u) * (a(y,z,y) * w)) = a(x,u * a(y,z,y),w). [para(12866(a,2),13090(a,1,1,2))]. 13095 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(774,a,13091,a)]. 13096 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12553,a,13095,a)]. 13098 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),13096(a,1,1)),flip(a)]. 13099 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9621(a,1),13096(a,1,1))]. 13100 a(T(x * y,x),z,u) = a(y * x,z,u). [para(12103(a,1),13096(a,1,1))]. 13101 a(K(x,x \ y) * ((x * y) \ z),u,w) = a((y * x) \ z,u,w). [para(12575(a,1),13096(a,1,1))]. 13102 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9622(a,1),13098(a,1,1))]. 13103 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(12118(a,1),13098(a,1,1))]. 13104 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(240,a,12981,a,b,13102,a(flip)),flip(a)]. 13105 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(4995(a,1),13102(a,1,1)),flip(a)]. 13106 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(240,a,13099,a(flip),b,13105,a)]. 13107 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(6201(a,1),13106(a,1,1)),flip(a)]. 13108 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(240,a,13103,a,b,13107,a(flip)),flip(a)]. 13109 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3022(a,1),13108(a,1,1)),flip(a)]. 13110 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10372(a,2),13108(a,2,1)),flip(a)]. 13111 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(240,a,12289,a,b,13109,a(flip)),flip(a)]. 13112 a(K(x,y),x \ 1,z) = 1. [hyper(240,a,5387,a(flip),b,13109,a(flip))]. 13113 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12600(a,1),13109(a,2,1))]. 13114 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(240,a,5572,a,b,13104,a(flip)),flip(a)]. 13115 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(240,a,5994,a(flip),b,13104,a(flip)),flip(a)]. 13116 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(240,a,12346,a,b,13113,a(flip)),flip(a)]. 13117 a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). [para(12922(a,1),13101(a,1,1))]. 13118 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6465(a,1),13110(a,2,1))]. 13119 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(240,a,13108,a(flip),b,13118,a)]. 13120 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10372(a,1),13119(a,1,1))]. 13121 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12600(a,1),13120(a,2,1))]. 13122 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13111(a,1),13116(a,1,1)),flip(a)]. 13123 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(240,a,12986,a(flip),b,13122,a)]. 13124 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(240,a,13121,a(flip),b,13123,a(flip)),flip(a)]. 13125 (x * (y * z)) \ (a(u,w,u) \ ((x * y) * (a(u,w,u) * z))) = a(x,y * a(u,w,u),z). [hyper(12884,a,13094,a)]. 13126 a(x,y * a(z,u,z),w) = (x * (y * w)) \ ((x * y) * w). [para(12867(a,1),13125(a,1,2)),flip(a)]. 13127 a(x,y * a(z,u,z),w) = a(x,y,w). [hyper(240,a,24,a,b,13126,a)]. 13129 a(x,y,a(z,u,z) * w) = a(x,y,w). [hyper(13093,a,13127,a)]. 13130 a(x,R(y,z,y),u) = a(x,y,u). [para(9631(a,1),13127(a,1,2))]. 13131 a(x,L(y,z,y),u) = a(x,y,u). [para(10892(a,1),13127(a,1,2)),flip(a)]. 13132 a(x,T(y * z,y),u) = a(x,z * y,u). [para(11559(a,1),13127(a,1,2))]. 13135 a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). [para(12105(a,1),13129(a,1,3))]. 13136 a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). [para(12133(a,1),13129(a,1,3)),flip(a)]. 13137 a(x,(y \ z) * y,u) = a(x,T(z,y),u). [para(14(a,1),13132(a,1,2,1)),flip(a)]. 13138 a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). [para(4535(a,2),13137(a,1,2))]. 13139 ((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(12659(a,1),12671(a,1,2))]. 13140 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(13085(a,1),13086(a,1,2,2,1))]. 13142 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(4192(a,2),13140(a,1,2))]. 13144 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4171(a,1),13142(a,1,2,2))]. 13145 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(10260(a,1),13144(a,1,2))]. 13146 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(741(a,1),13145(a,1,2)),flip(a)]. 13147 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(240,a,4327,a(flip),b,13146,a(flip)),flip(a)]. 13148 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(73,a,13147,a(flip),b,4800,a(flip))]. 13150 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9619,a,13148,a),flip(a)]. 13151 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(240,a,11294,a(flip),b,13150,a)]. 13152 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13151(a,1,1))]. 13153 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(240,a,6707,a(flip),b,13152,a(flip)),flip(a)]. 13154 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11040(a,1),13153(a,2,3))]. 13155 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(240,a,11421,a(flip),b,13154,a)]. 13157 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(240,a,11048,a(flip),b,13155,a(flip)),flip(a)]. 13158 L(x,y,a(z,u,K(y,w))) = x. [para(13155(a,1),3871(a,1,3))]. 13160 (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). [para(13158(a,1),106(a,1,2))]. 13161 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(240,a,5572,a,b,13157,a(flip)),flip(a)]. 13162 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13157(a,1,2))]. 13163 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6244,a,13162,a)]. 13164 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(11054,a,13163,a)]. 13165 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11483(a,1),13164(a,2,3))]. 13166 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),13165(a,2,3,1))]. 13169 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13166(a,1),5184(a,1,2,1)),flip(a)]. 13170 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(240,a,10946,a(flip),b,13169,a)]. 13171 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13170(a,1),4800(a,2,2))]. 13172 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13170(a,1),11430(a,1,3)),flip(a)]. 13173 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(240,a,11437,a,b,13172,a(flip)),flip(a)]. 13174 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(13172(a,1),11619(a,1,1))]. 13176 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13173(a,1),10851(a,1,2))]. 13178 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13088(a,1),13161(a,1,2))]. 13179 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5623,a,13178,a)]. 13180 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(240,a,7382,a(flip),b,13179,a(flip)),flip(a)]. 13181 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11088(a,1),13176(a,1,2)),flip(a)]. 13182 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(240,a,12,a(flip),b,13181,a)]. 13184 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(13182(a,1),11099(a,1,2,2)),flip(a)]. 13185 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(240,a,11099,a(flip),b,13184,a)]. 13186 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13185(a,1),4800(a,2,2))]. 13187 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(240,a,4800,a,b,13186,a)]. 13188 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13187(a,1),13180(a,1,2,1))]. 13189 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5017,a,13188,a)]. 13190 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [hyper(483,a,13139,a),flip(a)]. 13191 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(12676,a,13190,a)]. 13193 R(x,y,z * K(u,u \ 1)) = R(x,y,z). [para(9656(a,1),13191(a,1,3,2))]. 13194 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(11089(a,1),13174(a,1,1))]. 13195 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(77,a,13194,a)]. 13197 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(240,a,6309,a(flip),b,13195,a(flip)),flip(a)]. 13199 K(x,a(y,z,x) \ 1) = 1. [hyper(240,a,5096,a(flip),b,13197,a)]. 13200 K(x,y \ L(y,z,u)) = 1 \ K(x,a(u,z,y) \ 1). [hyper(73,a,13197,a,b,11,a),flip(a)]. 13201 K(x,y \ L(y,y \ 1,z)) = 1. [hyper(240,a,9885,a(flip),b,13197,a(flip))]. 13202 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13197(a,1),4800(a,2,2)),flip(a)]. 13205 T(a(x,y,z) \ 1,z) = a(x,y,z) \ 1. [para(13199(a,1),4849(a,1,1,2))]. 13206 T(x,y \ L(y,y \ 1,z)) = x. [hyper(37,a,13201,a)]. 13207 x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. [para(13206(a,1),387(a,1))]. 13208 K(x,y \ L(y,z,u)) != w | K(x,a(u,z,y) \ 1) = w. [para(13200(a,2),159(a,1)),flip(b)]. 13209 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4803,a,13202,a),flip(a)]. 13210 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13209(a,2),590(a,1,1))]. 13211 K(x,y * L(y \ 1,z,u)) != w | K(x,a(u,z,y \ 1) \ 1) = w. [para(4631(a,1),13208(a,1,2))]. 13214 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(240,a,13171,a(flip),b,13210,a)]. 13215 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(345(a,1),12638(a,1,1)),flip(a)]. 13216 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(240,a,8777,a(flip),b,13215,a)]. 13217 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7451(a,1),13216(a,1,2,1,1))]. 13218 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8715(a,1),13217(a,1,2,1))]. 13219 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4809(a,2),13218(a,1,2))]. 13220 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(240,a,8958,a,b,13219,a(flip)),flip(a)]. 13221 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7494(a,1),13220(a,1,1))]. 13222 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12153,a,13221,a)]. 13223 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(240,a,12294,a(flip),b,13222,a(flip))]. 13224 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4800,a(flip),b,13223,a)]. 13225 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(240,a,12613,a,b,13224,a(flip)),flip(a)]. 13226 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(13225(a,1),12305(a,1,2))]. 13227 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(77,a,13226,a),flip(a)]. 13228 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(240,a,13224,a,b,13227,a)]. 13229 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7487(a,1),13227(a,1,1))]. 13230 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7487(a,1),13228(a,1,1))]. 13231 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12612(a,2),13228(a,2,1)),flip(a)]. 13232 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(240,a,13230,a,b,13231,a(flip)),flip(a)]. 13233 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(T(z / u,z) \ y,u \ z) * w). [para(6967(a,1),12797(a,1,2,1)),flip(a)]. 13234 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K((u \ z) \ y,u \ z) * w). [para(12751(a,1),13233(a,2,2,1))]. 13235 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(z \ (u * y),u \ z) * w). [para(10029(a,1),13234(a,2,2,1))]. 13236 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),13072(a,1,1,2,1)),flip(a)]. 13237 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13236(a,1),13115(a,1,1))]. 13238 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),13237(a,1,2))]. 13239 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4822,a,13238,a),flip(a)]. 13241 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13239(a,1),13229(a,2,2))]. 13242 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(240,a,13232,a(flip),b,13241,a(flip))]. 13243 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(240,a,8940,a,b,13242,a(flip)),flip(a)]. 13244 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7491(a,2),13243(a,2,1))]. 13245 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9073,a,13244,a)]. 13246 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(240,a,9499,a(flip),b,13245,a(flip)),flip(a)]. 13247 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7507(a,1),13246(a,2,1))]. 13248 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8720(a,1),13247(a,2,1))]. 13249 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9544,a,13248,a)]. 13252 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(240,a,9956,a(flip),b,13249,a(flip)),flip(a)]. 13254 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12948(a,1,1,2,2,1)),flip(a)]. 13255 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(240,a,7135,a(flip),b,13254,a)]. 13257 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9650(a,1),13255(a,1,2,1,2))]. 13258 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(10909(a,1),13255(a,1,2,1)),flip(a)]. 13259 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(11559(a,1),13255(a,1,2,1,2))]. 13260 K(x,(((y \ z) \ z) * u) \ w) = K(x,(T(y,z) * u) \ w). [para(11841(a,1),13258(a,1,2,1,1)),flip(a)]. 13261 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(11058,a,12964,a)]. 13262 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(240,a,13082,a(flip),b,13261,a(flip)),flip(a)]. 13263 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),13262(a,1,2,2))]. 13264 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4623(a,1),13263(a,1,2))]. 13265 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(240,a,4713,a(flip),b,13264,a(flip)),flip(a)]. 13266 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(240,a,12662,a(flip),b,13265,a),flip(a)]. 13268 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(155(a,1),13266(a,1,2,2))]. 13269 (((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(13268(a,1),11570(a,1,1,2))]. 13270 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),12644(a,1,2,2,2)),flip(a)]. 13271 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * y) \ x)). [para(65(a,1),12925(a,2,2,2,2,1,2))]. 13272 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(3020(a,1),13271(a,2,2))]. 13273 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12541(a,1),12558(a,1,2,2,2,1))]. 13274 a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [hyper(12900,a,13273,a)]. 13275 a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12543(a,1),13274(a,1,2))]. 13276 a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12883(a,1),13275(a,1,2,2))]. 13277 a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,L(u,z,a(x,y,x)),a(x,y,x) * z). [para(12883(a,1),13276(a,1,2,2,2))]. 13278 L(x,L(y,z,a(u,w,u)),a(u,w,u) * z) = a(u,w,u) * L(a(u,w,u) \ x,y,z). [para(28(a,2),13277(a,1,2)),flip(a)]. 13279 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,a(x,y,x) * w). [para(12541(a,1),13278(a,1,2)),flip(a)]. 13280 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). [hyper(240,a,12991,a(flip),b,13279,a)]. 13281 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(835,a,13280,a),flip(a)]. 13283 L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). [para(454(a,1),13281(a,2,1))]. 13284 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(9493(a,1),12633(a,1,2,2)),flip(a)]. 13285 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(7507(a,1),13284(a,2,2))]. 13287 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(240,a,6405,a(flip),b,12649,a)]. 13288 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(8672(a,1),13287(a,2,1,2))]. 13289 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(6881(a,1),13288(a,2,1))]. 13290 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(3023(a,1),13289(a,2,1,1))]. 13291 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(7179(a,1),13290(a,2,2))]. 13292 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(142(a,1),12641(a,2,2))]. 13293 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(240,a,4794,a,b,13292,a)]. 13295 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(240,a,7491,a,b,13293,a)]. 13296 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(13068(a,1),13295(a,1,2))]. 13297 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8462,a,13296,a)]. 13298 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7489,a,13297,a)]. 13299 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(240,a,7151,a(flip),b,13298,a(flip)),flip(a)]. 13301 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4958(a,1),13299(a,1,2))]. 13302 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(13301(a,1),13285(a,2,2))]. 13303 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(7487(a,1),13302(a,2,2))]. 13304 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(8418(a,1),13303(a,1,1))]. 13305 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(240,a,9957,a,b,13304,a(flip)),flip(a)]. 13306 (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(11789(a,1),13305(a,1,1)),flip(a)]. 13307 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(13306(a,1),517(a,1))]. 13308 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(9841(a,1),12667(a,1,1))]. 13310 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(5486(a,1),12935(a,1,1))]. 13311 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),13310(a,1,2,2,1,2))]. 13313 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8677(a,1),13311(a,1,2))]. 13314 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13054(a,1),13313(a,1,2))]. 13315 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7589(a,1),13314(a,1,2)),flip(a)]. 13316 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. [para(13315(a,2),5508(a,1))]. 13317 L(x,y / z,x) = L(x,z \ y,x). [hyper(13316,a,12939,a)]. 13319 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),13317(a,1,2)),flip(a)]. 13320 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3660(a,2),13317(a,1,2))]. 13321 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4922(a,2),13317(a,1,2))]. 13324 L(x,y * K(z,y),x) = L(x,y,x). [para(5591(a,1),13319(a,1,2)),flip(a)]. 13326 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5448(a,1),13324(a,1,2))]. 13328 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(240,a,13326,a(flip),b,13321,a(flip))]. 13329 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(12969,a,13328,a),flip(a)]. 13331 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),13329(a,2,2))]. 13332 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),13320(a,2,2))]. 13333 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(240,a,13331,a(flip),b,13332,a(flip)),flip(a)]. 13335 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13333(a,1),13114(a,1,2))]. 13336 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5623,a,13335,a)]. 13337 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13239(a,2),13336(a,1,1))]. 13338 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12877,a,13337,a)]. 13339 a(x,a(y,z,u),x) = 1. [hyper(74,a,13338,a,b,14,a),flip(a)]. 13340 L(x,a(y,z,u),x) = x. [hyper(33,a,13339,a)]. 13342 T(x / a(y,z,u),x) = a(y,z,u) \ x. [hyper(10212,a,13340,a)]. 13343 (x * (a(y,z,u) * x)) / x = x * a(y,z,u). [para(13340(a,1),142(a,1,2))]. 13344 T(x,a(y,z,u)) != w | T(x,x * a(y,z,u)) = w. [para(13340(a,1),597(a,1,1))]. 13345 a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). [hyper(240,a,8333,a(flip),b,13342,a(flip))]. 13346 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(2514(a,1),13342(a,1,1))]. 13347 x \ (((a(y,z,u) \ x) * (a(y,z,u) * (a(y,z,u) \ x))) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). [hyper(73,a,13343,a,b,263,a)]. 13348 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(12465(a,1),13346(a,1,1,2))]. 13349 x \ (((a(y,z,u) \ x) * x) / (a(y,z,u) \ x)) = K(a(y,z,u) \ x,a(y,z,u)). [para(14(a,1),13347(a,1,2,1,2))]. 13351 K(a(x,y,z) \ u,a(x,y,z)) != w | K(a(x,y,z) \ u,u) = w. [para(13349(a,1),4918(a,1))]. 13352 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(12483(a,1),13308(a,1,1))]. 13353 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),13352(a,1,1,1))]. 13354 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),13353(a,1,1,3)),flip(a)]. 13355 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6113(a,1),13354(a,2,2))]. 13356 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),13355(a,2,2,2))]. 13357 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4978(a,1),13356(a,2,2))]. 13358 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(240,a,12107,a(flip),b,13357,a)]. 13359 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6170,a,13358,a)]. 13360 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),13359(a,1,2))]. 13361 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(5428,a,13360,a)]. 13362 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9315,a,13361,a)]. 13363 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),13362(a,2,1))]. 13364 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(240,a,9837,a(flip),b,13363,a(flip))]. 13366 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(240,a,5266,a(flip),b,13364,a(flip)),flip(a)]. 13367 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(240,a,10475,a(flip),b,13366,a(flip)),flip(a)]. 13369 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(240,a,9612,a(flip),b,13367,a(flip)),flip(a)]. 13370 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),13367(a,1,1,2,1)),flip(a)]. 13371 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(13369(a,1),12448(a,1,1,1,2))]. 13372 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(240,a,9025,a,b,13370,a)]. 13373 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13372(a,1),263(a,1,2))]. 13374 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(240,a,10447,a,b,13373,a(flip)),flip(a)]. 13375 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(263(a,1),13371(a,1,1,1))]. 13377 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8094(a,1),13375(a,1,1))]. 13378 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(121(a,1),13377(a,1,2,2,2))]. 13379 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8878(a,1),13378(a,1,2))]. 13380 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2927(a,1),13379(a,1,2))]. 13381 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(10638,a,13380,a)]. 13382 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(240,a,11115,a(flip),b,13381,a(flip)),flip(a)]. 13383 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(154(a,1),13382(a,1,2)),flip(a)]. 13384 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(240,a,10668,a,b,13383,a(flip)),flip(a)]. 13385 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(240,a,9614,a,b,13383,a(flip)),flip(a)]. 13387 x * K(y,x * ((z * y) \ z)) = y * (x / y). [para(13385(a,2),4976(a,1,2))]. 13389 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(240,a,10664,a(flip),b,13384,a(flip)),flip(a)]. 13391 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(240,a,9942,a(flip),b,13389,a(flip))]. 13392 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(16(a,1),13389(a,1,2,2,2)),flip(a)]. 13393 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = y * (z / y). [hyper(240,a,13272,a,b,13387,a(flip)),flip(a)]. 13394 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13391(a,1),4976(a,1,2))]. 13395 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(240,a,9042,a,b,13394,a(flip)),flip(a)]. 13397 (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(628(a,2),13393(a,1,1,2,1))]. 13398 (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(3345(a,1),13397(a,1,1,2))]. 13399 (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(542,a,13398,a)]. 13401 (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(3478(a,1),13399(a,1,2,2,1,1))]. 13402 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / ((1 / (y / (x * y))) \ 1)). [para(3498(a,1),13401(a,1,2,2,1)),flip(a)]. 13403 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / (y / (x * y))). [para(65(a,1),13402(a,2,2,2))]. 13405 (((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(1788(a,1),13269(a,2,1))]. 13406 (((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(240,a,12669,a(flip),b,13405,a)]. 13408 ((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(11556(a,1),13406(a,1,1))]. 13409 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(240,a,11565,a(flip),b,13408,a(flip)),flip(a)]. 13410 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(240,a,13214,a(flip),b,13409,a(flip))]. 13411 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4858,a,13410,a)]. 13412 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13410(a,2),11766(a,1,1))]. 13413 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13410(a,2),11768(a,1,1))]. 13414 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(13411(a,1),10810(a,1,2,2,2))]. 13415 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(421,a,13412,a)]. 13416 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(4577(a,1),13415(a,1,1))]. 13417 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(421,a,13413,a)]. 13418 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(4704(a,1),13416(a,1,2,1))]. 13419 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(240,a,13415,a(flip),b,13418,a(flip))]. 13420 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(4392(a,1),11056(a,1,2,1)),flip(a)]. 13421 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(2864(a,1),13420(a,2,2,2))]. 13423 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(12032(a,1),13421(a,2,2))]. 13424 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(240,a,5183,a(flip),b,13423,a)]. 13425 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(240,a,8252,a(flip),b,13424,a)]. 13426 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(4392(a,1),13425(a,1,2,2,2))]. 13428 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(5183(a,1),13426(a,1,2,2))]. 13429 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(11057(a,1),13428(a,1,2,2)),flip(a)]. 13430 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(240,a,10256,a(flip),b,13429,a)]. 13431 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(150(a,1),13430(a,2,2))]. 13432 (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(4626(a,1),9685(a,1,2,1,2,2,2))]. 13433 (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(4424(a,1),13432(a,1,2,1,2,2))]. 13434 (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(7487(a,1),13433(a,1,2,1))]. 13435 (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(11118(a,1),13434(a,1,2,1,2))]. 13436 (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(7077(a,1),13435(a,1,2,1,2))]. 13438 (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(7961(a,1),13436(a,1,2,1))]. 13439 (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(4626(a,1),13438(a,1,2,2,1,2,1,2,2))]. 13440 (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(4424(a,1),13439(a,1,2,2,1,2,1,2))]. 13441 (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(7451(a,1),13440(a,1,2,2,1,2))]. 13442 (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(9704(a,1),13441(a,1,2,2,1,2,2))]. 13443 (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(7139(a,1),13442(a,1,2,2,1,2,2))]. 13445 (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(7953(a,1),13443(a,1,2,2,1,2))]. 13446 (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(4788(a,1),13445(a,1,2,2,1))]. 13447 (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(9052(a,2),13446(a,1,2))]. 13448 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(240,a,9044,a(flip),b,13447,a(flip)),flip(a)]. 13449 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(5876(a,1),13448(a,1,2)),flip(a)]. 13450 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(240,a,7536,a(flip),b,13449,a)]. 13451 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1069(a,1),13450(a,1,1)),flip(a)]. 13452 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(240,a,11993,a,b,13451,a(flip)),flip(a)]. 13453 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1069(a,1),13452(a,1,1))]. 13454 (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(13453(a,1),12363(a,1,2))]. 13455 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12364,a,13454,a),flip(a)]. 13456 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(240,a,7491,a,b,13455,a)]. 13457 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(240,a,11964,a(flip),b,13456,a(flip)),flip(a)]. 13458 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(240,a,7487,a,b,13457,a)]. 13459 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(11966,a,13458,a)]. 13460 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(240,a,13270,a,b,13459,a(flip)),flip(a)]. 13461 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,11774,a(flip),b,13460,a)]. 13462 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7774,a,13461,a)]. 13463 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13461(a,1),7774(a,1))]. 13464 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,7483,a,b,13462,a(flip)),flip(a)]. 13465 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(240,a,12402,a,b,13464,a(flip)),flip(a)]. 13466 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9690,a,13465,a)]. 13467 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(240,a,13252,a(flip),b,13466,a(flip)),flip(a)]. 13468 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8810(a,1),13467(a,1,1)),flip(a)]. 13469 K(x,K(y * z,a(y,z,u))) = 1. [hyper(240,a,11943,a(flip),b,13468,a)]. 13470 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13463,a,13469,a)]. 13473 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(13470(a,1),8277(a,1,1)),flip(a)]. 13474 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(240,a,11,a(flip),b,13473,a)]. 13475 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(13474(a,1),8278(a,1,1)),flip(a)]. 13476 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7026,a,13475,a)]. 13477 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(8056,a,13476,a)]. 13478 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(240,a,8888,a,b,13477,a(flip)),flip(a)]. 13479 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13239(a,2),13478(a,1,1))]. 13480 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(240,a,13122,a,b,13479,a(flip)),flip(a)]. 13481 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(240,a,13124,a(flip),b,13480,a(flip)),flip(a)]. 13482 a(K(x,y),z,u) = K(x,a(y,z,u)). [hyper(12620,a,13481,a)]. 13484 K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. [para(13481(a,1),12620(a,1))]. 13485 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13481(a,1),13338(a,1,2))]. 13486 a(K(x * K(y,x),z),u,w) = K(x,T(a(z,u,w),y)). [hyper(240,a,7629,a(flip),b,13482,a)]. 13487 K(x,a(y,z * y,u)) = K(x,a(y,z,u)). [hyper(240,a,13481,a(flip),b,13482,a(flip))]. 13488 a(K(x,T(y,z)),u,w) = K(x,T(a(y,u,w),z)). [para(7629(a,1),13486(a,1,1))]. 13489 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(9641,a,13485,a)]. 13490 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(240,a,13481,a(flip),b,13489,a)]. 13491 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(240,a,13189,a(flip),b,13490,a(flip)),flip(a)]. 13492 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(240,a,13482,a,b,13491,a),flip(a)]. 13493 a(x,y,K(z,u)) * z != w | T(z,a(x,y,u)) = w. [para(13491(a,2),4810(a,1,1))]. 13494 K(x,a(y,z,x * z)) != u | 1 = u. [para(13491(a,1),11025(a,1))]. 13495 K(x,y) * K(y,a(z,u,x)) = K(x,L(y,u,z)). [para(13491(a,1),11257(a,1,2))]. 13496 K(x,a(y,z,u)) * K(u,x) = K(u,L(x,z,y)). [para(13491(a,1),11291(a,1,1))]. 13497 a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w. [para(13491(a,2),13484(a,1))]. 13498 a(K(x * y,z),x,y) = 1. [hyper(240,a,11023,a(flip),b,13492,a)]. 13499 a(K(x,y),z,z) = 1. [hyper(240,a,10769,a(flip),b,13492,a)]. 13500 a(x,x,K(y,z)) = 1. [hyper(240,a,5387,a(flip),b,13492,a(flip))]. 13502 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13492(a,1),12302(a,1,1,2))]. 13503 L(K(x,y),z,z) = K(x,y). [hyper(33,a,13500,a)]. 13504 L(x,y,K(y * x,z)) = x. [hyper(33,a,13498,a)]. 13506 (x * x) * K(y,z) = x * (x * K(y,z)). [para(13503(a,1),106(a,1,2))]. 13508 L(x,y / x,K(y,z)) = x. [para(16(a,1),13504(a,1,3,1))]. 13509 L(x,x \ y,K(y,z)) = x. [hyper(240,a,10131,a(flip),b,13508,a(flip)),flip(a)]. 13510 K(x,y) * (x / z) = T(x,y) / z. [para(13508(a,1),4876(a,1,2)),flip(a)]. 13511 K(x,y) \ (y / z) = T(y,x) / z. [para(13508(a,1),5735(a,1,2)),flip(a)]. 13512 L(x / y,y,K(x,z)) = x / y. [para(65(a,1),13509(a,1,2))]. 13513 K(x,a(y,z,x * (z * y))) != u | 1 = u. [para(13487(a,1),13494(a,1))]. 13514 K(x,y) * (T(y,x) / z) = y / z. [hyper(5191,a,13510,a)]. 13515 T(x,y) / (z \ x) = K(x,y) * z. [para(62(a,1),13510(a,1,2)),flip(a)]. 13516 (x * K(y,z)) \ (x * (T(y,z) / u)) != w | L(y / u,K(y,z),x) = w. [para(13510(a,1),449(a,1,2,2))]. 13518 T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). [para(13510(a,1),6939(a,1,1))]. 13520 (K(x,y) * z) \ T(x,y) = z \ x. [para(13515(a,1),65(a,1,1))]. 13521 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(4815(a,1),13520(a,1,1))]. 13522 (K(x,y) * z) \ y = z \ T(y,x). [para(5178(a,1),13520(a,1,1)),flip(a)]. 13524 K((x \ T(y,z)) \ y,u) = K(K(z,y) * x,T(u,y)). [para(13522(a,1),6974(a,1,1,1))]. 13525 T(K(x,y) * L(z,u,w),x) \ y = L(T(z,x),u,w) \ T(y,x). [para(6873(a,2),13522(a,1,1))]. 13526 T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). [para(13522(a,1),9136(a,1,2,1))]. 13527 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = K(K(y,z),x * x). [para(13506(a,1),26(a,2,1)),flip(a)]. 13528 K(a(x,y,z),u) * K(z,L(u,y,x)) = K(z,u). [para(13495(a,1),5186(a,1,2))]. 13529 R(K(x,y) \ (T(x,y) / z),K(x,y),z) / K(x,y) = x / (K(x,y) * z). [hyper(75,a,625,a,b,13518,a(flip))]. 13530 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(11296,a,13528,a)]. 13531 K(a(x,y,z),y) = 1. [hyper(11433,a,13530,a),flip(a)]. 13532 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(240,a,13182,a,b,13530,a),flip(a)]. 13533 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(13530(a,2),4800(a,2,2)),flip(a)]. 13535 a(x,y,K(z,u)) * (a(x,y,z) * w) = T(a(x,y,z),u) * w. [para(13530(a,2),4815(a,1,1))]. 13536 (x * (y * z)) \ ((x * y) * (z * a(x,y,K(z,u)))) = T(a(x,y,z),L(u,z,x * y)). [para(13530(a,2),11366(a,1,2,2,2))]. 13537 T(a(x,y,z),y) = a(x,y,z). [hyper(37,a,13531,a)]. 13538 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(z,y,K(x,L(x,y,z) * (x \ u))). [para(13532(a,1),10257(a,1,2)),flip(a)]. 13539 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(10788,a,13533,a)]. 13540 T(a(x,y,z),L(y,u,w)) = a(x,y,z) * 1. [para(10774(a,1),13533(a,1,2)),flip(a)]. 13541 T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. [para(13533(a,1),10788(a,1)),flip(b)]. 13542 K(x,a(y,z,z \ 1)) = 1. [hyper(74,a,13539,a,b,4769,a),flip(a)]. 13543 T(x,a(y,z,z \ 1)) = x. [hyper(35,a,13539,a)]. 13544 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [para(13539(a,1),122(a,1,2)),flip(a)]. 13545 (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. [para(13539(a,1),179(a,1,2))]. 13546 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [para(13539(a,1),209(a,1,2))]. 13547 T(x * (a(y,z,z \ 1) / x),u) = x * (a(y,z,z \ 1) / x). [para(13539(a,1),4513(a,2,2,1))]. 13550 x * (a(y,z,z \ 1) * u) != w | x * (u * a(y,z,z \ 1)) = w. [para(13543(a,1),544(a,1,2,2))]. 13551 T(x,y \ (z * ((y \ z) \ 1))) = x. [para(677(a,1),13543(a,1,2))]. 13552 T(x,a(y,z \ 1,z)) = x. [para(4701(a,1),13543(a,1,2))]. 13553 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(35,a,13552,a)]. 13554 x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. [hyper(7325,a,13551,a),flip(a)]. 13556 T(a(x,y,z),L(y,u,w)) != v5 | a(x,y,z) = v5. [para(13540(a,2),85(a,1)),flip(b)]. 13557 (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(13544(a,2),189(a,1,1))]. 13558 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) != u | K(y,K(z,x * x)) = u. [para(13527(a,2),7763(a,1))]. 13559 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(240,a,11884,a(flip),b,13502,a(flip))]. 13560 a(K(a(x,y,z),u),w,v5) = a(a(x,y,z),K(v5,u),w). [hyper(240,a,47,a,b,13559,a)]. 13561 a(K(x,y),z,u) = K(a(x,z,u),y). [hyper(240,a,13530,a(flip),b,13559,a)]. 13562 a(K(x,y),z,u) = K(u,a(x,z,y)). [hyper(240,a,13491,a(flip),b,13559,a)]. 13563 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(240,a,13492,a(flip),b,13559,a(flip))]. 13564 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(240,a,13482,a(flip),b,13559,a(flip))]. 13565 a(x,x \ 1,K(y,z)) = 1. [hyper(240,a,13112,a(flip),b,13559,a(flip))]. 13566 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13559(a,1),94(a,1,2))]. 13567 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13559(a,1),140(a,1,2))]. 13569 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,13565,a)]. 13571 K(x,L(y,z \ 1,z)) = K(x,y). [hyper(11281,a,13569,a)]. 13572 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(6380,a,13569,a)]. 13573 K((x \ y) \ z,y) = K(y \ (x * z),y). [hyper(240,a,11374,a(flip),b,13569,a(flip))]. 13574 K((x \ 1) \ y,z) = K(x * y,z). [hyper(240,a,11311,a(flip),b,13569,a(flip))]. 13575 L(K(x,y),z,z \ 1) = K(x,y). [hyper(240,a,10200,a(flip),b,13569,a(flip)),flip(a)]. 13577 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(73,a,13569,a(flip),b,199,a),flip(a)]. 13578 K(x,(y \ 1) \ z) = K(x,y * z). [para(456(a,1),13571(a,1,2)),flip(a)]. 13579 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(572(a,1),13571(a,1,2)),flip(a)]. 13580 K(x,L(y,z,z \ 1)) = K(x,y). [para(2805(a,1),13571(a,1,2))]. 13582 K(x,y) / (z * K(x,y)) = 1 / z. [hyper(75,a,13575,a(flip),b,2709,a)]. 13583 (1 / x) \ K(y,z) = x * K(y,z). [hyper(73,a,13575,a(flip),b,2709,a)]. 13584 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(13575(a,1),11267(a,1,2)),flip(a)]. 13585 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(12623,a,13580,a)]. 13586 K(x,L(y,z,z \ x)) = K(x,y). [hyper(11612,a,13580,a)]. 13587 K(x,y * (z \ 1)) = K(x,y / z). [hyper(240,a,12624,a(flip),b,13580,a(flip)),flip(a)]. 13588 K(x,(1 / y) * z) = K(x,y \ z). [para(2704(a,1),13580(a,1,2))]. 13590 K(R(x,y,y \ 1),z) = K(x,z). [hyper(240,a,12600,a,b,13585,a(flip)),flip(a)]. 13591 T(x,R(y,z,z \ 1)) = x * K(x,y). [para(13585(a,1),4800(a,2,2))]. 13593 K(x * y,L(z,x,y)) = K(x * y,z). [para(13(a,1),13586(a,1,2,3))]. 13594 K(x * (y \ 1),z) = K(x / y,z). [para(488(a,1),13590(a,1,1))]. 13595 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,R(x,y,y \ 1) \ z). [para(13590(a,1),4976(a,1,2)),flip(a)]. 13597 K(a(x,y,z),u) = K(x,a(u,y,z)). [hyper(240,a,13482,a(flip),b,13561,a(flip))]. 13598 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(240,a,13492,a(flip),b,13562,a(flip)),flip(a)]. 13599 K(x,a(y,z,u)) = K(u,a(x,z,y)). [hyper(240,a,13482,a(flip),b,13562,a(flip)),flip(a)]. 13600 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(13497,a,13563,a)]. 13601 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(11308,a,13563,a)]. 13602 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11302,a,13563,a)]. 13603 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(10767,a,13563,a)]. 13604 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(240,a,11436,a,b,13563,a),flip(a)]. 13606 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(240,a,11437,a(flip),b,13563,a)]. 13607 a(x * y,z,K(y,u)) = a(u,z,K(x,y)). [hyper(240,a,11424,a(flip),b,13563,a)]. 13608 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,13563,a)]. 13609 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(240,a,11435,a,b,13563,a(flip)),flip(a)]. 13610 a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). [hyper(240,a,11432,a,b,13563,a(flip)),flip(a)]. 13611 a(x,y,K(z \ (u \ w),u)) = a(u,y,K(x,z \ w)). [hyper(240,a,11426,a,b,13563,a(flip)),flip(a)]. 13612 a(x,y,K(z * u,z)) = a(z,y,K(x,u)). [hyper(240,a,11423,a,b,13563,a(flip)),flip(a)]. 13614 a(x,y,K(z,y * x)) = 1. [hyper(240,a,11023,a(flip),b,13563,a(flip))]. 13617 x * a(y \ 1,y,K(z,u)) != w | w = x. [para(13563(a,2),10788(a,1,2))]. 13618 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13563(a,1),10762(a,2,1))]. 13619 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13563(a,2),10945(a,1,1))]. 13620 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [para(13563(a,2),10947(a,1,1))]. 13621 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | v5 = w. [para(13563(a,2),10949(a,1,1))]. 13622 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(13563(a,2),10952(a,1,1))]. 13623 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(13563(a,1),11257(a,1,2))]. 13624 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(13563(a,2),11257(a,1,2))]. 13625 a(x,y,K(z,u)) * K(u,L(x,y,z)) = K(u,x). [para(13563(a,1),11277(a,1,1))]. 13626 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(13563(a,1),11291(a,1,1))]. 13627 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(13563(a,2),11291(a,1,1))]. 13628 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13563(a,1),11288(a,1,2))]. 13629 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(13563(a,2),11288(a,1,2))]. 13630 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(13563(a,1),11298(a,1,1))]. 13631 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13563(a,1),13410(a,2,2))]. 13632 a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. [para(13563(a,2),13497(a,1))]. 13633 a(x,y,K(z,y * x)) * u = u. [para(13614(a,2),11(a,1,1))]. 13634 K(x,L(y * z,y,z)) = K(x,y * z). [hyper(11295,a,13633,a)]. 13635 K(x,a(y * z,y,z)) = 1. [hyper(11024,a,13564,a),flip(a)]. 13636 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(240,a,13185,a,b,13564,a),flip(a)]. 13637 a(a(x,y,z),K(u,w),v5) = K(a(x,y,z),a(w,v5,u)). [hyper(240,a,47,a,b,13564,a(flip)),flip(a)]. 13638 a(x,y,K(z,a(u,w,v5))) = K(x,a(a(u,w,v5),z,y)). [para(47(a,1),13564(a,2,2))]. 13639 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(13564(a,2),4800(a,2,2)),flip(a)]. 13640 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(13564(a,2),4809(a,2,1)),flip(a)]. 13641 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(13564(a,2),5929(a,1,2))]. 13642 K(x,y) * K(z,a(x,u,y)) = K(x,L(y,u,z)). [para(13564(a,1),11257(a,1,2))]. 13643 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13564(a,1),13491(a,2,2))]. 13644 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(13564(a,2),13559(a,1,1))]. 13645 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(13562(a,1),13564(a,2,2))]. 13646 T(x,a(y * z,y,z)) = x. [hyper(37,a,13635,a)]. 13647 K(x * (y \ z),L(u,x \ 1,y)) = K((y * (x \ 1)) \ z,u). [hyper(11395,a,13574,a),flip(a)]. 13648 K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9061,a,13574,a)]. 13649 K((x \ 1) * y,z) = K(x \ y,z). [hyper(5432,a,13574,a),flip(a)]. 13650 K((1 / x) \ y,z) = K(x * y,z). [hyper(5431,a,13574,a)]. 13653 K(x * y,L(z,y,x)) = K(x * y,z). [hyper(240,a,11331,a(flip),b,13574,a(flip))]. 13658 x * (y * K(x * y,z)) = T(x * y,z). [para(13574(a,1),6052(a,1,2,2))]. 13659 (x * K(y * x,z)) * y = T(x * y,z). [para(13574(a,1),6185(a,1,1,2))]. 13660 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(13574(a,1),6186(a,1,1,2))]. 13663 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(13574(a,1),9345(a,1,1,2))]. 13664 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(7110,a,13577,a)]. 13665 T(x * K(y,z),x \ 1) = (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z). [hyper(240,a,3892,a,b,13577,a),flip(a)]. 13670 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(13577(a,1),585(a,1))]. 13677 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(13577(a,1),7098(a,1,1))]. 13678 (x \ K(y,z)) * T(z,y) = (x \ 1) * z. [para(13577(a,1),7117(a,1,1))]. 13680 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [para(13577(a,1),7567(a,1,1))]. 13681 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * (x \ K(u,w)). [para(13577(a,1),11340(a,2,2))]. 13682 K((x \ 1) \ y,z * u) = K(x * y,(z \ 1) \ u). [hyper(240,a,13574,a,b,13578,a),flip(a)]. 13683 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(240,a,10267,a,b,13578,a),flip(a)]. 13684 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(240,a,5300,a(flip),b,13578,a(flip))]. 13685 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(13578(a,1),4800(a,2,2))]. 13686 L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. [para(13578(a,1),9363(a,1,1))]. 13690 ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). [para(13582(a,1),4256(a,2,2))]. 13691 1 / (x * K(y,z)) = K(z,y) / x. [para(7090(a,1),13582(a,1,2)),flip(a)]. 13694 (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(x,x \ 1). [hyper(73,a,13583,a(flip),b,2974,a)]. 13696 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(13583(a,1),539(a,1))]. 13699 K(x,y * ((z \ 1) \ K(u,w))) = K(x,y * (z * K(u,w))). [para(13583(a,1),5309(a,1,2,2)),flip(a)]. 13701 K(x,y / (z \ 1)) = K(x,y * z). [hyper(240,a,5292,a(flip),b,13587,a(flip))]. 13704 K(x,(1 / y) \ z) = K(x,y * z). [hyper(240,a,5306,a(flip),b,13588,a(flip))]. 13705 K(x / (y \ 1),z) = K(x * y,z). [hyper(5426,a,13594,a),flip(a)]. 13706 K(x \ y,T(z,x)) = K(y * (x \ 1),z). [hyper(240,a,7606,a,b,13594,a),flip(a)]. 13707 K(x * (1 / y),z) = K(x / y,z). [hyper(240,a,5262,a,b,13594,a(flip)),flip(a)]. 13708 K(x / (1 / y),z) = K(x * y,z). [para(65(a,1),13594(a,1,1,2)),flip(a)]. 13709 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(13594(a,1),5426(a,1))]. 13710 (K(x / y,(y \ 1) \ 1) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(13594(a,1),5848(a,1,1,1))]. 13711 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(240,a,13562,a,b,13597,a),flip(a)]. 13712 a(x,y,K(z,a(u,w,v5))) = K(x,a(u,y,a(z,w,v5))). [para(13597(a,1),13564(a,1,3))]. 13713 K(a(x,y,z),u) = K(u,a(z,y,x)). [hyper(240,a,13530,a(flip),b,13598,a(flip)),flip(a)]. 13714 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(13598(a,2),4800(a,2,2)),flip(a)]. 13715 K(x,y) * K(x,a(y,z,u)) = K(x,L(y,z,u)). [para(13598(a,1),11257(a,1,2))]. 13716 a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). [para(13598(a,1),13491(a,2,2))]. 13717 K(x * (y * z),a(x,y,z)) = 1. [hyper(13513,a,13599,a),flip(a)]. 13719 T(x * (y * z),a(x,y,z)) = x * (y * z). [hyper(37,a,13717,a)]. 13720 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [hyper(21,a,13600,a)]. 13726 ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. [para(13650(a,1),4803(a,1,2))]. 13727 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(585,a,13664,a),flip(a)]. 13730 K(x,x \ K(y,z)) * K(z,y) = x \ ((x \ K(y,z)) \ 1). [para(13664(a,1),5055(a,1,2)),flip(a)]. 13732 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(7098(a,1),13664(a,1,1)),flip(a)]. 13735 K(T(x \ y,z),z) \ 1 = K(z,(x \ 1) * y). [hyper(240,a,4021,a,b,13684,a),flip(a)]. 13740 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13691(a,1),6302(a,1,2,1,2,2))]. 13746 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13727(a,1),10455(a,1,1,1,2))]. 13747 T(x,L(y,z,z \ 1)) != u | T(x,y) = u. [para(13584(a,2),4803(a,1))]. 13748 T(x,R(y,z,z \ 1)) = T(x,y). [hyper(240,a,4800,a,b,13591,a)]. 13751 R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). [para(13748(a,1),122(a,1,2))]. 13752 T(x,y * (z \ 1)) = T(x,y / z). [para(488(a,1),13748(a,1,2))]. 13753 T(x,T(y,z \ u) / (u \ z)) = T(x,((u \ z) \ 1) * y). [hyper(10311,a,13752,a),flip(a)]. 13754 T(x,y * (1 / z)) = T(x,y / z). [hyper(240,a,4409,a,b,13752,a(flip)),flip(a)]. 13755 T(x,y / (1 / z)) = T(x,y * z). [para(65(a,1),13752(a,1,2,2)),flip(a)]. 13756 T(x,(y * K(z \ 1,u)) / z) = T(x,y * T(z \ 1,u)). [para(5918(a,1),13752(a,1,2)),flip(a)]. 13758 T(x,y / (z \ 1)) = T(x,y * z). [para(62(a,1),13754(a,1,2,2)),flip(a)]. 13761 (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(401,a,13758,a(flip),b,11398,a),flip(a)]. 13762 K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). [hyper(11395,a,13634,a)]. 13763 K(x,L(L(y,z,u) * (y \ w),y \ w,L((y \ w) \ w,z,u))) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [para(605(a,1),13634(a,1,2,1))]. 13764 K(x * (y \ z),L(y,z,x)) = K(x * (y \ z),y). [hyper(11287,a,13653,a)]. 13765 (x * y) * K(x * y,z) = T(x * y,L(z,y,x)). [para(13653(a,1),4800(a,2,2)),flip(a)]. 13767 (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). [para(13572(a,1),5083(a,1,2,1))]. 13769 K((x / y) \ z,x) = K(x \ (y * z),x). [hyper(240,a,6315,a,b,13573,a(flip)),flip(a)]. 13770 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(240,a,13563,a(flip),b,13601,a(flip)),flip(a)]. 13771 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13601(a,1),11359(a,1))]. 13772 a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),u \ 1). [para(13604(a,1),13533(a,1,2))]. 13773 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(240,a,13563,a,b,13607,a)]. 13774 a(x,y,K(x \ z,u)) = a(z,y,K(u,x)). [hyper(240,a,13563,a,b,13610,a(flip)),flip(a)]. 13775 a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). [para(10013(a,1),13610(a,1,3))]. 13776 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(11257(a,1),13617(a,1)),flip(b)]. 13777 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(235(a,1),13636(a,1,2,1))]. 13780 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(13683(a,1),10296(a,1))]. 13782 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(13685(a,2),4803(a,1))]. 13785 T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). [hyper(240,a,11765,a,b,13714,a(flip)),flip(a)]. 13786 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(13747,a,4422,a),flip(a)]. 13787 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(2704(a,1),13747(a,1,2))]. 13788 T(x,L(y,z \ 1,z)) != u | T(x,y) = u. [para(3576(a,1),13747(a,1,2))]. 13789 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(4422(a,1),13747(a,1))]. 13791 T(x,(1 / y) * z) = T(x,y \ z). [hyper(240,a,4413,a,b,13786,a(flip)),flip(a)]. 13792 T(x,((1 / y) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(12862(a,2),13791(a,1,2))]. 13793 K((x * y) \ (y * z),x * y) = K(x \ z,x * y). [para(15(a,1),13769(a,1,1,1)),flip(a)]. 13794 a(x,y,K(z \ x,u)) = a(z,y,K(z \ x,u)). [para(14(a,1),13773(a,1,1))]. 13795 a(x,y,K(x \ z,u)) = a(x,y,K(z,u)). [hyper(240,a,13563,a(flip),b,13774,a)]. 13797 K(x,L(y,z \ 1,z)) != u | K(x,y) = u. [para(3576(a,1),13776(a,1,2))]. 13798 K(x,L(y,z,z \ x)) != u | K(x,y) = u. [para(11611(a,1),13776(a,1))]. 13799 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(12624(a,1),13776(a,1))]. 13800 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(11248(a,2),13797(a,1))]. 13801 K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. [para(13574(a,2),13797(a,1))]. 13802 K(x * y,L(z,x,y)) != u | K(x * y,z) = u. [para(13(a,1),13798(a,1,2,3))]. 13803 K((x * y) \ 1,z) != u | K(y \ (x \ 1),z) = u. [para(6264(a,1),13800(a,1))]. 13808 (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. [para(13727(a,1),13696(a,1,1))]. 13809 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [para(13719(a,1),665(a,1,2)),flip(a)]. 13810 a(x,y,K(z,z * u)) != w | a(z,y,K(u,x)) = w. [para(11430(a,2),13771(a,1))]. 13811 a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. [para(11436(a,2),13771(a,1))]. 13812 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(13491(a,1),13771(a,1))]. 13813 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13563(a,1),13771(a,1))]. 13814 K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. [para(13564(a,1),13771(a,1))]. 13818 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(10451(a,2),13780(a,1))]. 13819 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(13684(a,2),13780(a,1))]. 13820 T(x,(1 / y) \ z) != u | T(x,y * z) = u. [para(4415(a,2),13782(a,1))]. 13822 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5295(a,2),13799(a,1))]. 13823 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. [para(6760(a,2),13799(a,1))]. 13824 K(x,y * (z \ K(u \ z,u))) != w | K(x,y / (u * (z / u))) = w. [para(10243(a,1),13799(a,1,2,2))]. 13825 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(13809(a,2),16(a,1,1))]. 13826 a(x / (y * z),y,z) * x = ((x / (y * z)) * y) * z. [para(13809(a,2),253(a,1,1))]. 13829 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13597(a,2),13812(a,1))]. 13833 a(x,y,K(z,u \ 1)) != w | a(x,y,K(u,z)) = w. [para(13604(a,2),13813(a,1))]. 13834 a(x * y,z,K(y,u)) != w | a(u,z,K(x,y)) = w. [para(13773(a,2),13813(a,1))]. 13836 K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. [para(11309(a,1),13814(a,1))]. 13837 a(x,y,K(z,T(u,y))) * (x * (y * K(z,T(u,y)))) = (x * T(y,K(u,z))) * K(z,u). [hyper(240,a,10938,a,b,13825,a)]. 13838 a(x,y,T(z,y)) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. [hyper(240,a,10808,a,b,13825,a)]. 13839 a(x,y,K((z \ x) * y,z)) \ (K((z \ x) * y,z) * (x * y)) = x * (y * K((z \ x) * y,z)). [hyper(73,a,11650,a,b,13825,a)]. 13841 K(a(x,y,z),u) * (K(x,u) * (y * z)) = (K(x,u) * y) * z. [para(13561(a,1),13825(a,1,1))]. 13842 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(240,a,8519,a,b,13579,a(flip)),flip(a)]. 13843 K(x \ 1,T(x * y,z)) * T(y,z) = T((x \ 1) * (y / (x \ 1)),z). [para(13579(a,1),10640(a,1,1))]. 13844 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(240,a,47,a,b,13602,a)]. 13845 K(x,y) * K(y,L(x,z,u)) = a(y,y \ z,K(u,x)). [para(11316(a,1),13602(a,1,2))]. 13847 a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. [para(13606(a,1),13813(a,1))]. 13848 x * a(y,z,K(u,w)) != x * v5 | a(w,z,K(y,u)) = v5. [para(13608(a,2),19(a,1))]. 13851 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(13619(a,1),5471(a,1,2,2,2,1))]. 13852 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(13620(a,1),10949(a,1,2)),flip(b)]. 13855 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). [para(11421(a,1),13623(a,1,2))]. 13856 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(240,a,11248,a,b,13626,a)]. 13857 K(x,L(y,z,(u * w) \ u)) = a(x,z,K(w \ 1,y)) * K(x,y). [para(6018(a,1),13626(a,1,1,3)),flip(a)]. 13858 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). [para(13705(a,1),13626(a,1,1,3))]. 13859 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,z,y)). [hyper(81,a,13642,a)]. 13860 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,y \ z,y)). [hyper(73,a,11251,a(flip),b,13642,a)]. 13862 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [hyper(240,a,13643,a,b,13716,a)]. 13864 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(240,a,10711,a,b,13732,a(flip)),flip(a)]. 13865 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(13735(a,1),4029(a,1))]. 13866 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(13578(a,2),13865(a,1))]. 13867 a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). [hyper(240,a,13795,a(flip),b,13794,a)]. 13868 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(240,a,8316,a(flip),b,13856,a)]. 13869 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13856(a,1),20(a,1))]. 13870 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13856(a,2),8463(a,1))]. 13871 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7507(a,1),13862(a,1,3))]. 13872 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11104,a,13871,a)]. 13873 (x * y) * K(x * (z \ y),z) = x * (y * K(x * (z \ y),z)). [para(13764(a,1),11263(a,1,2))]. 13874 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(4803,a,13765,a),flip(a)]. 13875 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(13874(a,1),437(a,1,2)),flip(a)]. 13876 (x * y) / T(x * y,z) = K(L(z,y,x),x * y). [para(13874(a,1),4750(a,2,2)),flip(a)]. 13877 L(x,y,z) * T(z * y,x) = z * (y * x). [para(13875(a,2),16(a,1,1))]. 13881 L(x,y \ z,y) * T(z,x) = y * ((y \ z) * x). [para(14(a,1),13877(a,1,2,1))]. 13882 (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. [para(13877(a,1),299(a,1,1)),flip(b)]. 13884 a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. [para(13563(a,1),13810(a,1))]. 13887 K(x,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = w. [para(2850(a,1),13819(a,1,2,1))]. 13889 a(x \ 1,y,K(z,u)) != w | a(z,y,K(x,u)) = w. [para(13563(a,1),13833(a,1))]. 13890 a(x,y,K(z,u * x)) != w | a(z,y,K(u,x)) = w. [para(13563(a,2),13834(a,1))]. 13891 K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. [para(2597(a,1),13866(a,1,2,1))]. 13893 K(L(x,y,z),z * y) = K(x,z * y). [hyper(4833,a,13876,a),flip(a)]. 13894 K(L(x,y,z),z * y) != u | K(x,z * y) = u. [para(13876(a,1),4833(a,1))]. 13895 K(x,L(y * z,z,y)) = K(x,y * z). [hyper(11312,a,13893,a)]. 13896 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(13893(a,1),4909(a,1,1))]. 13898 T(x,L(y,z \ x,z)) = T(x,y). [hyper(709,a,13881,a)]. 13899 T(x,(y \ x) \ z) = T(x,x \ (y * z)). [para(454(a,1),13898(a,1,2)),flip(a)]. 13900 T(x,(x / y) \ z) = T(x,x \ (y * z)). [hyper(240,a,9527,a,b,13899,a(flip)),flip(a)]. 13901 T(x,x \ ((y \ x) * z)) = T(x,y \ z). [para(62(a,1),13900(a,1,2,1)),flip(a)]. 13902 L(x,y,T(z,(u \ z) * w)) = L(x,y,T(z,u \ w)). [para(13901(a,1),13003(a,1,3)),flip(a)]. 13904 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). [para(13530(a,2),13560(a,1,1))]. 13906 a(a(x,y,z),K(u,w),v5) = K(x,a(a(w,v5,u),y,z)). [hyper(240,a,13597,a(flip),b,13637,a)]. 13907 a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). [hyper(240,a,13564,a,b,13638,a)]. 13908 a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). [para(13564(a,2),13644(a,2,3))]. 13909 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4645,a(flip),b,13663,a)]. 13910 K(x * y,(z \ 1) \ (z \ u)) = K((x \ 1) \ y,u). [para(14(a,1),13682(a,1,2)),flip(a)]. 13911 K(x,a(a(y,z,u),w,v5)) = K(x,a(y,w,a(v5,z,u))). [hyper(240,a,13564,a(flip),b,13712,a(flip)),flip(a)]. 13912 K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * v6) = T(a(x,z,u),a(y,w,v5)) * v6. [para(13712(a,1),13535(a,1,1))]. 13913 R(x,y,y \ 1) * (x \ z) = (z / x) * R(x,y,y \ 1). [para(124(a,1),13751(a,1,2))]. 13914 K((1 / x) \ R(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [para(13751(a,2),13650(a,2,1))]. 13915 K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). [hyper(240,a,6329,a(flip),b,13762,a(flip)),flip(a)]. 13916 K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). [hyper(10138,a,13793,a)]. 13917 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(240,a,13602,a(flip),b,13845,a(flip))]. 13918 a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). [hyper(13813,a,13917,a)]. 13919 K(x,L(y,z \ u,z)) = K(x,y) * a(z,u,K(y,x)). [para(13917(a,1),11257(a,1,2)),flip(a)]. 13920 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(240,a,13563,a(flip),b,13918,a)]. 13921 a(x,x * y,K(z,u)) = a(u,y,K(x,z)). [para(13(a,1),13918(a,1,2)),flip(a)]. 13922 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(13918(a,2),13813(a,1))]. 13923 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),13920(a,1,2)),flip(a)]. 13925 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7491(a,2),13923(a,1,3))]. 13926 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [hyper(240,a,13623,a(flip),b,13855,a(flip))]. 13927 K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). [para(13926(a,1),5184(a,1,2,1)),flip(a)]. 13928 K(x,a(y,z \ u,z)) = K(x,a(y,u,z)). [hyper(240,a,13859,a(flip),b,13860,a(flip))]. 13929 T(x,a(y,z \ u,z)) = x * K(x,a(y,u,z)). [para(13928(a,1),4800(a,2,2))]. 13930 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(240,a,4800,a,b,13929,a)]. 13931 T(x,a(y,z * u,z)) = T(x,a(y,u,z)). [para(13(a,1),13930(a,1,2,2)),flip(a)]. 13932 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,T(u,y)),x) = w. [para(7611(a,1),13882(a,1,1,2))]. 13933 a(x,y,K(z,a(u,w,v5))) = a(x,z,a(y,w,K(v5,u))). [para(13564(a,2),13907(a,1,3)),flip(a)]. 13934 a(a(x,y,z),K(u,w),v5) = a(x,v5,a(u,y,K(z,w))). [hyper(240,a,13904,a(flip),b,13908,a(flip)),flip(a)]. 13935 K((x \ 1) \ (x \ y),z) = K(y,(u \ 1) \ (u \ z)). [para(14(a,1),13910(a,1,1)),flip(a)]. 13936 a(a(x,y,z),K(u,w),v5) = K(x,a(w,y,a(z,v5,u))). [hyper(240,a,13906,a,b,13911,a(flip)),flip(a)]. 13937 x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). [para(13915(a,1),263(a,1,2))]. 13938 K(L(x \ y,x,z / y),(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). [para(459(a,2),13915(a,1,1))]. 13939 K(x \ (y \ z),x * y) \ 1 = K(x * y,(x * y) \ z). [para(13915(a,1),4977(a,1,1))]. 13941 K(x \ (y \ z),x * y) * K((x * y) \ z,K(x,y)) = K((x * y) \ z,y * x). [para(13915(a,1),10396(a,1,1))]. 13942 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(240,a,11257,a(flip),b,13919,a)]. 13943 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(13919(a,2),11288(a,1))]. 13944 K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). [hyper(11394,a,13942,a)]. 13945 K((x * ((x \ y) / z)) \ y,u) = K(z,L(u,y,x)). [hyper(11393,a,13942,a)]. 13946 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11274,a,13942,a),flip(a)]. 13947 K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). [hyper(240,a,11320,a(flip),b,13942,a(flip))]. 13948 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(454(a,1),13942(a,1,2)),flip(a)]. 13949 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(10200(a,1),13942(a,1,2)),flip(a)]. 13950 K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). [hyper(11351,a,13946,a),flip(a)]. 13951 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(10098,a,13948,a)]. 13952 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7491(a,2),13925(a,2,3))]. 13953 K(L(x,y,x \ z),u) = K(L(x,y,z),u). [hyper(240,a,5184,a(flip),b,13927,a)]. 13954 K(L(x,y,x \ z),u) = K(x,L(u,y,z)). [hyper(240,a,11309,a(flip),b,13953,a)]. 13955 K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). [hyper(11312,a,13954,a)]. 13956 a(x,y,a(z,u,K(w,v5))) = a(x,z,a(y,u,K(w,v5))). [para(13564(a,2),13933(a,1,3))]. 13959 K(x,(y \ 1) \ (y \ L(z,u \ x,(u \ x) \ 1))) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [hyper(240,a,11262,a(flip),b,13935,a(flip))]. 13960 K(x,y) * a(z,u,K(x,y)) != w | K(x,L(y,u,z \ 1)) = w. [para(13609(a,1),13628(a,1,2))]. 13961 a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. [para(11325(a,1),13847(a,1))]. 13962 a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. [para(13619(a,2),13852(a,1))]. 13963 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(73,a,13896,a(flip),b,10164,a)]. 13965 T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. [para(13753(a,2),13789(a,1))]. 13966 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(5162,a,13767,a),flip(a)]. 13967 T(x,a(y * z,(y * z) \ y,z)) = T(x,z \ (((y * z) \ y) \ 1)). [hyper(240,a,6100,a,b,13966,a(flip)),flip(a)]. 13968 (x \ ((y * z) \ x)) * T(x,z \ (y \ 1)) = (y * z) \ x. [para(13966(a,1),3886(a,1,2))]. 13969 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(324(a,1),13801(a,1,2))]. 13971 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(5266(a,2),13969(a,1))]. 13975 ((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(468(a,1),13913(a,1,2)),flip(a)]. 13976 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [hyper(4999,a,13939,a),flip(a)]. 13977 x * K(y * z,y \ (z \ x)) = (y * z) * (x / (y * z)). [para(13976(a,1),4976(a,1,2))]. 13978 x * K(y * z,y \ (z \ x)) != u | (y * z) * (x / (y * z)) = u. [para(13976(a,1),5138(a,1,2))]. 13979 ((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(6149(a,1),13977(a,1,2,1)),flip(a)]. 13980 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(13566(a,1),299(a,1,1)),flip(b)]. 13981 ((T(x,y) * (K(z,x) * u)) * w) / a(z,T(x,y) * u,K(w,x)) = K(z,x) * ((T(x,y) * u) * w). [para(9554(a,2),13567(a,1,1,1))]. 13982 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),L(x * (y \ 1),y \ 1,x)). [hyper(240,a,6760,a,b,13647,a),flip(a)]. 13983 (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(3449(a,1),13710(a,1,1,1))]. 13984 (K(x \ y,x) / (x \ 1)) \ y = y / (1 / (x \ 1)). [para(4994(a,1),13983(a,1,1,1))]. 13985 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = (1 / (x \ 1)) \ L((x \ y) \ y,z,u). [para(5128(a,1),13984(a,1,1,1)),flip(a)]. 13986 T(x,y \ (a(z,u,z) * w)) = T(x,(a(z,u,z) / y) * w). [para(12562(a,1),13792(a,1,2,1)),flip(a)]. 13987 T(x,(a(y,z,y) / u) * w) = T(x,a(y,z,y) * (u \ w)). [para(12880(a,1),13986(a,1,2)),flip(a)]. 13988 T(x,(a(y,z,y) / u) * w) != v5 | T(x,u \ w) = v5. [para(13987(a,2),12729(a,1))]. 13990 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [hyper(240,a,13626,a(flip),b,13857,a)]. 13991 K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13857(a,2),13630(a,1))]. 13992 K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13062(a,2),13991(a,1,2))]. 13993 K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. [para(13949(a,1),13991(a,1))]. 13994 K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. [para(13858(a,1),13630(a,1))]. 13995 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,13864,a)]. 13996 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(240,a,13291,a,b,13995,a(flip)),flip(a)]. 13997 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(13732(a,2),13995(a,1,2))]. 13999 x * K(K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) != w | w = x. [para(13997(a,2),85(a,1,2))]. 14001 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(107(a,2),13868(a,2,2,2)),flip(a)]. 14002 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(7951(a,1),13868(a,1,1,3))]. 14003 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7507(a,1),13872(a,1,2))]. 14004 x * K(y * (z \ u),z) != y * (u * K(y * (z \ u),z)) | y * u = x. [para(13873(a,1),20(a,1)),flip(a)]. 14005 (x * (y * K(x * (z \ y),z))) * K(K(x * (z \ y),z),x * y) = K(x * (z \ y),z) * (x * y). [para(13873(a,1),98(a,1,1))]. 14006 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10141(a,1),13909(a,1,2))]. 14007 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),14006(a,1,2,1))]. 14009 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(148(a,1),14007(a,1,1)),flip(a)]. 14011 (x \ (((y * z) / y) * y)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(4120(a,2),14007(a,2,2))]. 14012 (x * T(y,z)) \ (y * x) = K(z,y) * K(y,x). [para(7133(a,1),14007(a,1,1)),flip(a)]. 14014 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(240,a,5929,a(flip),b,14009,a)]. 14015 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(14014(a,1),62(a,1,2)),flip(a)]. 14016 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(240,a,12206,a(flip),b,14003,a(flip)),flip(a)]. 14017 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10842(a,1),14016(a,1,1))]. 14018 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7507(a,1),14017(a,2,3))]. 14019 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(y,z,K(x,z \ u)). [hyper(240,a,13611,a(flip),b,13777,a)]. 14020 K(x,((y * ((y * z) / y)) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [para(4120(a,1),14019(a,1,2,1,1))]. 14021 K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(13990(a,1),13993(a,1))]. 14022 K(x,L((y * z) / u,u,z \ 1)) = K(x,L((y * z) / u,y,z \ 1)). [hyper(14021,a,11250,a(flip)),flip(a)]. 14024 ((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(13999,a,2983,a),flip(a)]. 14025 K(x,L(y * (z \ u),z \ u,z)) != w | K(x,(z * (y \ 1)) \ u) = w. [para(11248(a,1),13686(a,1))]. 14026 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(11883(a,1),13980(a,1))]. 14028 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11752(a,1),13996(a,1,1))]. 14029 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(14028(a,1),12394(a,1,2)),flip(a)]. 14030 (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(16(a,1),14011(a,1,1,2))]. 14032 (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). [para(4960(a,1),14030(a,1,2))]. 14033 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(240,a,12648,a(flip),b,14029,a)]. 14035 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5571(a,1),14033(a,1,2,1))]. 14036 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11752(a,1),14035(a,1,2))]. 14037 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(14036(a,1),65(a,1,1))]. 14038 (((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(14037(a,1),11602(a,1,1,1))]. 14039 R(K(x,y) * (T(y,x) / z),K(y,x),z) / K(y,x) = y / (K(y,x) * z). [para(5183(a,1),13529(a,1,1,1))]. 14040 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(13564(a,2),13844(a,1,1))]. 14041 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7487(a,1),13870(a,1,1,3))]. 14042 R(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(13514(a,1),14039(a,1,1,1))]. 14044 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(13530(a,2),14040(a,1,2))]. 14045 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(14041,a,14002,a),flip(a)]. 14046 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(65(a,1),14045(a,1,2,2,3)),flip(a)]. 14047 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(240,a,13934,a(flip),b,14044,a)]. 14048 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(13622,a,14047,a)]. 14049 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(240,a,13608,a,b,14047,a(flip)),flip(a)]. 14051 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(11309(a,1),14049(a,1,2,3))]. 14052 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(73,a,13956,a,b,14051,a)]. 14053 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). [para(12568(a,1),13595(a,2,2))]. 14054 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = x * (z / x). [hyper(240,a,4976,a(flip),b,14053,a)]. 14057 (x * (y \ 1)) * (z / R(x / y,y,y \ 1)) = (x / y) * (z / (x / y)). [para(488(a,1),14054(a,1,1))]. 14058 (x * (y \ 1)) * (z / (x * (y \ 1))) = (x / y) * (z / (x / y)). [para(488(a,1),14057(a,1,2,2))]. 14059 K((x / y) \ (z \ x),(x / y) * z) = K(z \ y,(x / y) * z). [hyper(13894,a,13938,a),flip(a)]. 14060 (((x / y) * z) \ x) * ((x / y) * z) = x * K(z \ y,(x / y) * z). [para(14059(a,1),13937(a,1,2)),flip(a)]. 14061 L(x \ y,x,z / y) * ((z / y) * x) = z * K(x \ y,(z / y) * x). [para(459(a,2),14060(a,1,1))]. 14062 K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(10955,a,13648,a)]. 14063 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = x \ L((x \ y) \ y,z,u). [hyper(240,a,319,a(flip),b,13985,a)]. 14065 L((x \ y) \ y,z,u) / x = x \ L((x \ y) \ y,z,u). [para(62(a,1),14063(a,1,2))]. 14066 K(x,a(T(y,z),z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). [para(13564(a,1),13837(a,1,1))]. 14067 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13920(a,1),14001(a,2,1))]. 14068 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(240,a,13868,a(flip),b,14067,a)]. 14069 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(107(a,1),14068(a,1,2,2))]. 14070 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(10199(a,2),14069(a,1,2,2))]. 14071 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). [para(13775(a,1),13538(a,2,2))]. 14072 K(x,L((y \ 1) \ (y \ z),u \ x,(u \ x) \ 1)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [para(1648(a,2),13959(a,1,2))]. 14073 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x * (y \ 1)). [hyper(240,a,13895,a(flip),b,13982,a)]. 14074 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x / y). [hyper(240,a,13587,a(flip),b,14073,a)]. 14075 K((x * (y \ 1)) \ z,x / y) = K(y * (x \ z),x / y). [hyper(13823,a,14074,a)]. 14076 K(x / (y * (z \ 1)),y / z) = K(z * (y \ x),y / z). [hyper(8060,a,14075,a)]. 14077 K(x,L((y \ 1) \ (y \ z),u \ x,u)) = K((((u \ x) \ 1) * (u \ 1)) \ 1,z). [hyper(240,a,11613,a(flip),b,14072,a(flip)),flip(a)]. 14078 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(240,a,11503,a(flip),b,14077,a(flip))]. 14080 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(240,a,5517,a(flip),b,14078,a(flip)),flip(a)]. 14082 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(73,a,14078,a(flip),b,6569,a(flip))]. 14083 (x \ y) * K(y,z) = x \ T(y,z). [hyper(13670,a,14082,a)]. 14084 (x \ y) \ (x \ T(y,z)) = K(y,z). [hyper(73,a,14082,a(flip),b,13583,a(flip))]. 14088 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(7110,a,14083,a)]. 14089 (x / y) \ T(x,z) = y * K(x,z). [hyper(585,a,14083,a),flip(a)]. 14091 K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). [hyper(182,a,14083,a,b,5178,a),flip(a)]. 14092 K(x,y \ z) * (y \ x) = y \ T(x,z / y). [hyper(240,a,8161,a,b,14083,a(flip)),flip(a)]. 14093 (x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x). [para(14083(a,1),28(a,2,2,2)),flip(a)]. 14095 (x \ y) \ (x \ T(y,z)) != u | K(y,z) = u. [para(14083(a,1),241(a,1,2)),flip(b)]. 14097 R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). [para(493(a,1),14083(a,1,1)),flip(a)]. 14098 (x * L(x \ 1,y,z)) \ T(x,u) = (L(1 / x,y,z) \ 1) * K(x,u). [para(2382(a,1),14083(a,1,1)),flip(a)]. 14099 T(x,x \ y) \ T(y,z) = T(x \ y,x) * K(y,z). [para(3938(a,1),14083(a,1,1)),flip(a)]. 14102 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(13564(a,2),14083(a,1,2))]. 14103 (x \ K(y,z)) \ T(x \ 1,u) = K(z,y) * K(x \ 1,u). [para(13677(a,1),14083(a,1,1)),flip(a)]. 14105 (T(x,y) / z) \ x = z * K(y,x). [hyper(585,a,14088,a),flip(a)]. 14107 (x \ y) * K(z,y * K(z,y)) = x \ (y * K(z,y)). [para(4777(a,1),14088(a,1,1,2))]. 14108 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(13520(a,1),14088(a,1,1)),flip(a)]. 14111 ((x * y) / ((1 / x) \ y)) \ T(x * y,z) = T((1 / x) \ y,z). [hyper(13726,a,14089,a(flip)),flip(a)]. 14113 T(x,y) * K(z * K(x,y),x / z) = ((x / z) \ T(x,y)) * (x / z). [para(14089(a,1),263(a,1,2,1))]. 14116 L(x,y,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). [para(14089(a,1),13046(a,1,3,1))]. 14118 x / (y * K(z,x)) = T(x,z) / y. [para(14105(a,1),62(a,1,2))]. 14119 K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). [para(14105(a,1),13948(a,1,2,1,1))]. 14122 T(x,y) / (z * T(x,y)) = x / (z * x). [para(7103(a,1),14118(a,1,2)),flip(a)]. 14124 ((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1) = y / (x * y). [hyper(240,a,5505,a,b,14122,a(flip)),flip(a)]. 14127 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14080(a,1),6420(a,2,1))]. 14128 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(240,a,4756,a(flip),b,14127,a)]. 14129 K(x,y) * (1 / z) = K(x,y) / z. [hyper(240,a,13515,a(flip),b,14127,a(flip)),flip(a)]. 14131 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(5191,a,14129,a)]. 14134 K(x,y) / (z \ 1) = K(x,y) * z. [para(62(a,1),14129(a,1,2)),flip(a)]. 14136 T(x,y) * (K(y,x) / z) = x * (1 / z). [para(14129(a,1),5082(a,1,2))]. 14137 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14129(a,1),6939(a,1,1))]. 14138 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(14129(a,1),7565(a,1,1))]. 14139 K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). [para(13571(a,1),14129(a,1,1)),flip(a)]. 14140 1 / (x \ K(y,z)) = K(z,y) * x. [para(62(a,1),14131(a,1,2)),flip(a)]. 14141 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(14131(a,1),5200(a,1,2)),flip(b)]. 14142 (K(x,y) * z) \ K(x,y) = z \ 1. [para(14134(a,1),65(a,1,1))]. 14143 (K(x,y) * z) \ K(x,y) != u | z \ 1 = u. [para(14134(a,1),250(a,1,1)),flip(b)]. 14144 (K(x,y) * z) * T(z \ 1,u) = K(x,y) * K(z \ 1,u). [para(14134(a,1),5928(a,1,1))]. 14146 K(x,y) * K(z \ 1,z * K(x,y)) = (z \ 1) * (K(x,y) * z). [para(14134(a,1),9021(a,1,2)),flip(a)]. 14147 (K(x,y) * z) \ 1 = z \ K(y,x). [para(14140(a,1),65(a,1,1))]. 14148 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(14140(a,1),250(a,1,1)),flip(b)]. 14149 a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). [para(14140(a,1),4712(a,1,2)),flip(a)]. 14150 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(14140(a,1),13708(a,1,1,2))]. 14151 T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). [para(14140(a,1),13791(a,1,2,1)),flip(a)]. 14152 T(x,(K(y,z) * u) \ w) != v5 | T(x,(u \ K(z,y)) * w) = v5. [para(14140(a,1),13820(a,1,2,1))]. 14154 K(x,y) / (z \ 1) != u | K(x,y) * z = u. [para(14142(a,1),298(a,1,2)),flip(b)]. 14155 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(5057(a,1),14142(a,1,1)),flip(a)]. 14156 ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. [para(5325(a,1),14142(a,1,1))]. 14157 ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. [para(5530(a,1),14142(a,1,1))]. 14158 (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). [para(14147(a,1),203(a,2,3))]. 14159 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ (1 / (K(x,y) * z)). [para(14147(a,1),4940(a,1,1)),flip(a)]. 14160 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(14147(a,2),5193(a,1))]. 14163 K(x,T(y,z \ K(u,w))) != v5 | K(x,T(y,K(w,u) * z)) = v5. [para(14147(a,1),8084(a,1,2,2))]. 14164 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(14147(a,1),13587(a,1,2,2)),flip(a)]. 14165 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(6630(a,1),14128(a,2,2))]. 14166 L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). [para(40(a,2),14136(a,1,1))]. 14167 (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1) = (x \ ((y * (1 / x)) \ z)) \ 1. [para(4581(a,1),14155(a,1,1)),flip(a)]. 14168 T(x,T((y \ z) \ K(y,u),w)) = T(x,T(z \ T(y,u),w)). [para(14155(a,1),9099(a,1,2,1))]. 14169 K(x * ((y \ z) \ K(y,u)),w) = K(x / (T(y,u) \ z),w). [para(14155(a,1),13594(a,1,1,2))]. 14170 K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. [para(14155(a,1),13799(a,1,2,2))]. 14172 K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. [para(4756(a,2),14141(a,1,2))]. 14174 T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. [para(5182(a,1),14148(a,1,1))]. 14175 ((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(401,a,11802,a(flip),b,14092,a),flip(a)]. 14176 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14137(a,1),8962(a,1,1))]. 14177 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13691(a,2),14137(a,1,1))]. 14178 L(x,x \ K(y,z),x) \ 1 = 1 / x. [hyper(12984,a,14139,a)]. 14179 L(x,x \ K(y,z),x) = 1 / (1 / x). [para(14178(a,1),62(a,1,2)),flip(a)]. 14181 x \ (y * K(z,y)) = (x \ y) * K(z,y). [para(4963(a,1),14107(a,1,2)),flip(a)]. 14182 (K(x,y) * z) \ x = z \ (x * K(y,x)). [hyper(240,a,14108,a,b,14181,a),flip(a)]. 14183 x \ ((y * z) / y) = (x \ z) * K(y,z). [para(4776(a,2),14181(a,1,2))]. 14184 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [para(4813(a,1),14181(a,1,2)),flip(a)]. 14187 ((x / y) * z) \ ((y \ x) * K(y,y \ x)) = ((y \ x) * z) \ (y \ x). [para(5354(a,1),14182(a,1,1)),flip(a)]. 14188 (x \ ((y * z) / y)) * y = (x \ z) * T(y,z). [para(14183(a,2),5918(a,1,1))]. 14189 (x \ ((y * z) / y)) * y != u | (x \ z) * T(y,z) = u. [para(14183(a,2),5950(a,1,1))]. 14191 (L(x \ 1,y,z) \ 1) * (x \ 1) = L(x \ 1,y,z) \ (1 / x). [hyper(240,a,4584,a(flip),b,14184,a(flip)),flip(a)]. 14192 R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). [para(14184(a,1),13193(a,1,3))]. 14193 a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). [para(14188(a,2),13132(a,1,2,1))]. 14194 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(240,a,8027,a(flip),b,14177,a(flip)),flip(a)]. 14195 (1 / K(x,x \ K(y,z))) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(4976(a,1),14194(a,1,2)),flip(a)]. 14196 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(14194(a,1),14129(a,1,2))]. 14197 K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. [para(14194(a,1),14141(a,1,2))]. 14198 (x * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. [para(4976(a,1),14160(a,1,1))]. 14199 (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). [hyper(14174,a,8151,a)]. 14200 ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). [para(14199(a,2),8151(a,1,1))]. 14201 T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. [para(14199(a,1),13664(a,1,1))]. 14202 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(7254,a,14201,a),flip(a)]. 14203 K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. [para(7104(a,1),14202(a,1,1)),flip(a)]. 14204 K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. [para(13577(a,1),14202(a,1,1)),flip(a)]. 14205 K(x / (K(y,z) * (u \ 1)),w) != v5 | K(x * (u * K(z,y)),w) = v5. [para(14202(a,1),13709(a,1,1,2))]. 14206 K((K(x,y) * (z \ 1)) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. [para(14202(a,1),13969(a,1,1,1))]. 14208 ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14203(a,1),14058(a,1,1))]. 14209 (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14196(a,2),5764(a,1,2))]. 14210 T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). [para(14200(a,1),13665(a,2,1))]. 14211 (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. [para(14093(a,2),11281(a,1))]. 14212 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(14097(a,1),10637(a,1,1))]. 14213 L((x \ y) \ 1,x \ y,x) \ (1 / (x \ y)) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(352(a,1),14191(a,1,1,1)),flip(a)]. 14214 K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(4980(a,1),14195(a,1,1))]. 14215 T(x * K(y,z),x \ 1) = K(y,z) * ((x \ 1) \ 1). [hyper(240,a,7574,a(flip),b,14210,a)]. 14216 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. [hyper(240,a,14204,a(flip),b,14215,a)]. 14217 ((x \ 1) \ K(y,z)) * (x \ 1) = x \ ((x \ K(z,y)) \ 1). [hyper(73,a,14216,a(flip),b,863,a),flip(a)]. 14218 x \ ((x \ K(y,z)) \ 1) = (x * K(z,y)) * (1 / x). [hyper(240,a,13690,a(flip),b,14217,a(flip))]. 14219 K(x,x \ K(y,z)) * K(z,y) = (x * K(z,y)) * (1 / x). [hyper(240,a,13730,a,b,14218,a(flip)),flip(a)]. 14220 L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). [para(8613(a,1),14166(a,1,2,1))]. 14221 K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). [hyper(14205,a,14150,a),flip(a)]. 14222 K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(14150(a,1),14205(a,1))]. 14223 K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). [para(9935(a,1),14221(a,2,1,2))]. 14224 (x * L(x \ 1,y,z)) \ T(x,u) = L(1 / x,y,z) \ K(x,u). [hyper(240,a,13577,a(flip),b,14098,a)]. 14225 (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(14224(a,1),11586(a,1,1))]. 14226 L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). [para(3998(a,1),14116(a,1,3))]. 14227 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). [para(4813(a,1),14187(a,1,2))]. 14228 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ (y / (x \ y)). [para(62(a,1),14227(a,1,1,1)),flip(a)]. 14229 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. [para(62(a,1),14228(a,2,2))]. 14230 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = ((y * (x \ 1)) \ y) \ ((x \ 1) \ 1). [para(2177(a,1),14229(a,1,1)),flip(a)]. 14231 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(z,z \ 1,x) * (1 / z)). [para(14220(a,1),11864(a,2,2))]. 14232 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ ((1 / z) * K(y,x)). [para(14194(a,1),14159(a,2,2))]. 14233 a(x,T(T((y * z) / y,y \ z),y),u) = a(x,T(y,z) * (y \ z),u). [hyper(240,a,13138,a(flip),b,14193,a(flip)),flip(a)]. 14234 a(x,T(y,z) * (y \ z),u) = a(x,T(z,y \ z),u). [para(212(a,1),14233(a,1,2)),flip(a)]. 14236 a(x,T(y,z \ y),u) = a(x,K(z,y) * y,u). [para(4780(a,1),14234(a,1,2)),flip(a)]. 14237 a(x,T(y,z \ y),u) = a(x,y * K(z,y),u). [para(4827(a,1),14234(a,1,2)),flip(a)]. 14238 K(K(x,y) * z,(K(x,y) * z) \ 1) = K(z,z \ 1). [hyper(240,a,13694,a(flip),b,14232,a)]. 14239 K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). [hyper(6171,a,14238,a)]. 14241 (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). [para(14147(a,1),14158(a,1,2))]. 14242 ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1) = R(x,K(y,z) * z,z \ K(z,y)). [hyper(240,a,8857,a,b,14241,a(flip)),flip(a)]. 14243 ((x \ y) \ 1) * ((y \ x) \ 1) = (x \ y) \ (1 / (y \ x)). [para(352(a,1),14213(a,1,1)),flip(a)]. 14244 ((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(401,a,9888,a,b,14243,a),flip(a)]. 14245 ((x * (y * K(z,y))) * K(y,z)) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). [para(3191(a,1),14242(a,1,1,1,2))]. 14246 R(x,K(y,z) * z,z \ K(z,y)) = (x * (T(z,y) * K(y,z))) * (z \ 1). [para(10937(a,1),14245(a,1,1)),flip(a)]. 14247 R(x,K(y,z) * z,z \ K(z,y)) = (x * z) * (z \ 1). [para(4759(a,1),14246(a,2,1,2))]. 14248 R(x,K(y,z) * z,z \ K(z,y)) = R(x,z,z \ 1). [hyper(240,a,203,a(flip),b,14247,a)]. 14249 R(x,y * K(z,y),y \ K(y,z)) = R(x,y,y \ 1). [para(3191(a,1),14248(a,1,2))]. 14250 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y,y \ 1). [para(14249(a,1),5216(a,2,2))]. 14251 a(x,y * K(z,y),(y * K(z,y)) \ 1) = a(x,y,y \ 1). [hyper(240,a,678,a(flip),b,14250,a)]. 14253 a(x,y * K(z,y),y \ K(y,z)) = a(x,y,y \ 1). [para(5119(a,1),14251(a,1,3))]. 14254 a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). [hyper(240,a,14237,a,b,14253,a(flip)),flip(a)]. 14255 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (1 / ((y * (x \ 1)) \ y)). [hyper(240,a,6740,a(flip),b,14230,a)]. 14256 (x * ((x \ 1) * ((y * (x \ 1)) \ y))) \ x = (x \ 1) \ (((y * (1 / x)) \ y) \ 1). [para(2553(a,1),14255(a,2,2))]. 14257 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (x * (x \ ((y * (1 / x)) \ y))) \ x. [para(4596(a,1),14256(a,1,1,2)),flip(a)]. 14258 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. [hyper(240,a,304,a(flip),b,14257,a)]. 14260 (K(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). [para(7563(a,1),14209(a,1,2))]. 14261 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10882(a,1),13746(a,1,1,1,2))]. 14262 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10189(a,1),14261(a,1,1,1)),flip(a)]. 14263 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2883(a,2),14262(a,1,2,2,1))]. 14264 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(65(a,1),14263(a,1,2,2))]. 14266 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10612(a,1),14264(a,1,2))]. 14267 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(14266(a,2),62(a,1,2))]. 14268 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6286(a,1),14165(a,1,1))]. 14269 (L(T(x,y),x \ 1,z) * (z \ (z * (K(y,x) / x)))) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(11386(a,1),14231(a,1,1,1))]. 14271 (L(T(x,y),x \ 1,z) * (K(y,x) / x)) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(13(a,1),14269(a,1,1,2))]. 14273 x / (L(y,y \ 1,z) * (1 / y)) = (L(y,y \ 1,z) * (1 / y)) \ x. [para(14220(a,1),14271(a,1,1)),flip(a)]. 14274 ((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(14273(a,1),9930(a,1,1))]. 14275 (x * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * (z \ y))) = K(x * (z \ y),z) * (x * y). [para(7488(a,1),14005(a,1,2))]. 14276 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). [para(13543(a,1),13557(a,2,1))]. 14277 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(L(1 / y,z,u) \ 1,x). [hyper(240,a,14103,a(flip),b,14225,a(flip))]. 14278 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K((1 / y) \ 1,L(x,z,u)). [para(11255(a,1),14277(a,2,2))]. 14279 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),14278(a,2,2,1))]. 14280 K(x,T(y * L(y \ 1,z,u),T(y,x))) = a(y,z,K(u,x)). [hyper(240,a,13602,a(flip),b,14279,a)]. 14282 K(x,T(y * L(y \ 1,z,u),y)) = a(y,z,K(u,x)). [hyper(240,a,7004,a(flip),b,14280,a(flip)),flip(a)]. 14283 K(x,y * L(y \ 1,z,u)) = a(y,z,K(u,x)). [para(1696(a,1),14282(a,1,2))]. 14284 K(x,a(y,z,u \ 1) \ 1) = a(u,z,K(y,x)). [hyper(13211,a,14283,a)]. 14285 a(x \ 1,y,K(z,u)) = K(u,a(z,y,x) \ 1). [para(4701(a,1),14284(a,1,2,1)),flip(a)]. 14286 K(x,a(y,z,u) \ 1) = a(y,z,K(u,x)). [hyper(13889,a,14285,a),flip(a)]. 14287 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14203(a,1),14208(a,1,2,2))]. 14288 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12358(a,1),14268(a,1,2))]. 14289 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(240,a,6305,a(flip),b,14288,a(flip)),flip(a)]. 14290 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(240,a,6624,a(flip),b,14289,a)]. 14291 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(240,a,11983,a(flip),b,14290,a(flip))]. 14292 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(14290(a,1),65(a,1,1))]. 14293 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = y \ (1 / ((z * y) \ z)). [hyper(240,a,398,a,b,14291,a(flip)),flip(a)]. 14294 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). [para(14291(a,1),6625(a,2,3))]. 14295 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (1 / ((y * x) \ y))) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(14291(a,1),11775(a,1,2,2))]. 14296 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(14292(a,1),4565(a,1,2,1))]. 14297 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(240,a,6624,a(flip),b,14296,a)]. 14298 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(14291(a,1),14297(a,1,1))]. 14299 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(240,a,11984,a,b,14298,a(flip)),flip(a)]. 14300 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6059(a,1),14299(a,1,1))]. 14301 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(240,a,5507,a(flip),b,14300,a(flip))]. 14302 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(240,a,9420,a(flip),b,14301,a(flip)),flip(a)]. 14303 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(14302(a,1),65(a,1,1))]. 14304 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(14303(a,1),2851(a,1,1))]. 14305 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(14304(a,1),6677(a,1,2,1))]. 14307 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(240,a,13842,a(flip),b,14305,a(flip))]. 14308 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),14307(a,1,2)),flip(a)]. 14309 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(240,a,6682,a(flip),b,14308,a)]. 14310 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(11049,a,14309,a(flip)),flip(a)]. 14311 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(240,a,8519,a(flip),b,14310,a)]. 14312 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),14311(a,1,2,1,1,1)),flip(a)]. 14313 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(8789,a,14312,a),flip(a)]. 14314 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(10315,a,14313,a)]. 14315 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(240,a,9356,a(flip),b,14313,a(flip)),flip(a)]. 14316 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(240,a,11537,a(flip),b,14314,a(flip))]. 14317 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),14315(a,1,2,1,1)),flip(a)]. 14318 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(8707,a,14317,a)]. 14319 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(14316(a,1),6354(a,1,1))]. 14320 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(240,a,8709,a(flip),b,14318,a(flip))]. 14321 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7302,a,14320,a)]. 14323 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(240,a,9819,a(flip),b,14321,a(flip))]. 14325 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(122(a,1),14323(a,1,2,1,1,2))]. 14326 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(240,a,8792,a(flip),b,14325,a(flip))]. 14327 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(8683,a,14326,a)]. 14328 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(240,a,5523,a(flip),b,14327,a)]. 14329 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),14328(a,2,2,1,1))]. 14330 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(240,a,11718,a(flip),b,14329,a),flip(a)]. 14332 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(14330(a,2),6354(a,1,1))]. 14333 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(240,a,6356,a(flip),b,14332,a(flip)),flip(a)]. 14334 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(240,a,6354,a(flip),b,14319,a(flip))]. 14335 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(240,a,13055,a(flip),b,14334,a(flip))]. 14336 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),14335(a,2,2,2))]. 14337 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(240,a,14333,a,b,14336,a(flip)),flip(a)]. 14339 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12600(a,1),14337(a,1,1))]. 14340 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12610,a,14339,a)]. 14341 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(240,a,12600,a(flip),b,14340,a)]. 14342 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(240,a,12639,a(flip),b,14341,a(flip))]. 14344 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(240,a,13059,a(flip),b,14342,a(flip))]. 14345 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(14344(a,2),4809(a,2,1)),flip(a)]. 14346 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4810,a,14345,a)]. 14347 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(240,a,12985,a,b,14346,a),flip(a)]. 14348 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(240,a,7052,a(flip),b,14347,a(flip)),flip(a)]. 14349 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(240,a,12645,a,b,14348,a(flip)),flip(a)]. 14351 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(3407(a,2),14348(a,2,2,1))]. 14352 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13559(a,1),14349(a,1,2))]. 14353 ((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(10725(a,1),14024(a,2,3))]. 14354 (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(10725(a,1),14353(a,1,1))]. 14355 (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(12596(a,1),14354(a,1,2))]. 14356 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(240,a,12165,a(flip),b,14355,a(flip)),flip(a)]. 14357 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5178(a,1),14356(a,1,2)),flip(a)]. 14358 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(240,a,5178,a(flip),b,14357,a)]. 14361 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). [para(14291(a,1),14293(a,1,2,3))]. 14362 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [hyper(240,a,14192,a(flip),b,14294,a)]. 14363 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). [para(14192(a,1),14361(a,1,2))]. 14364 ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [para(14291(a,1),14362(a,1,2))]. 14365 ((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(13975(a,2),764(a,1))]. 14366 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (((y * x) \ y) \ 1)) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(4457(a,1),14295(a,1,2))]. 14367 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(11700(a,1),14351(a,1,1))]. 14368 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),14367(a,1,1,2,1,2,1))]. 14369 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(9833(a,1),14368(a,1,1))]. 14370 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(240,a,10940,a(flip),b,14369,a(flip)),flip(a)]. 14372 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),14370(a,1,2,2,1)),flip(a)]. 14373 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(240,a,10473,a(flip),b,14372,a)]. 14375 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(240,a,14348,a(flip),b,14373,a)]. 14376 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),14375(a,2,2,1))]. 14377 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3407(a,1),14376(a,1,2,1))]. 14378 ((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(13704(a,1),13979(a,2,2))]. 14379 ((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(12781(a,1),14378(a,2,2))]. 14380 ((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(13707(a,1),14379(a,2,2))]. 14381 ((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),14380(a,2,2,1))]. 14382 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * ((y * x) \ z)). [para(9559(a,1),14381(a,2,2))]. 14383 ((x * y) * (1 / y)) * (z / ((1 / y) * (((x * y) \ x) \ x))) = z * K(x,y * ((x * y) \ z)). [para(6149(a,1),14382(a,1,1))]. 14384 ((x * y) * (1 / y)) * (z / ((x * y) * (1 / y))) = z * K(x,y * ((x * y) \ z)). [para(6149(a,1),14383(a,1,2,2))]. 14385 (x * (1 / y)) * (z / (((x / y) * y) * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). [para(16(a,1),14384(a,1,1,1))]. 14386 x * K(y / z,z * (((y / z) * z) \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). [para(16(a,1),14385(a,1,2,2,1)),flip(a)]. 14387 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (x \ z)). [para(16(a,1),14386(a,1,2,2,2,1)),flip(a)]. 14389 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(y \ x,(x \ z) * y). [para(10272(a,1),14387(a,2,2))]. 14390 (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(12648(a,1),14038(a,1,1))]. 14391 (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(14037(a,1),14390(a,1,2,2))]. 14392 (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(8276(a,1),14391(a,1,2))]. 14393 (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(5884(a,1),14392(a,1,2))]. 14394 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14358(a,1),14393(a,1,2)),flip(a)]. 14395 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(14037(a,1),14394(a,1,1,1,1))]. 14396 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12648(a,1),14395(a,1,1,1))]. 14397 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(14037(a,1),14396(a,1,1)),flip(a)]. 14398 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(14397(a,1),9349(a,1,1))]. 14399 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(9348(a,1),14398(a,1,2))]. 14400 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(240,a,9462,a(flip),b,14399,a(flip)),flip(a)]. 14401 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(4782(a,1),14400(a,1,2))]. 14402 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(240,a,12253,a(flip),b,14401,a(flip))]. 14404 (((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(14402(a,1),12449(a,1,1))]. 14405 ((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(678(a,1),14244(a,2,2,1))]. 14406 ((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(240,a,9884,a(flip),b,14405,a)]. 14408 (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(678(a,1),14406(a,1,1,1))]. 14409 (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(678(a,1),14408(a,1,2,1,2))]. 14410 (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(12465(a,1),14409(a,1,2,1))]. 14411 (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(9888(a,1),14410(a,1,2))]. 14412 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(5882(a,1),14404(a,1,1,1)),flip(a)]. 14413 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(5297(a,1),14412(a,2,2))]. 14414 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(5766(a,1),14413(a,2,2))]. 14415 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(10868(a,1),14414(a,2,2))]. 14416 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),14415(a,2,2,1))]. 14417 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(240,a,5929,a(flip),b,14416,a)]. 14419 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(240,a,8686,a(flip),b,14417,a)]. 14420 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5571(a,1),14419(a,1,1,1))]. 14421 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(14402(a,1),14420(a,1,1))]. 14422 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5882(a,1),14421(a,1,1,1))]. 14423 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(240,a,4420,a(flip),b,14422,a(flip)),flip(a)]. 14424 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4192(a,1),14423(a,2,1))]. 14425 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13170(a,1),14424(a,2,2))]. 14426 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13170(a,1),14425(a,1,1,1))]. 14427 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(240,a,14352,a(flip),b,14426,a)]. 14428 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12477(a,1),14427(a,1,1))]. 14429 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13631(a,2),14428(a,1,1))]. 14430 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4205,a,14429,a)]. 14431 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(240,a,13417,a(flip),b,14430,a(flip))]. 14432 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(240,a,14377,a(flip),b,14431,a(flip))]. 14433 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(10745(a,1),14432(a,1,2,1))]. 14434 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(240,a,13419,a(flip),b,14433,a(flip)),flip(a)]. 14435 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4752(a,2),14434(a,1,2,1,2))]. 14436 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(136(a,1),14435(a,1,2,1)),flip(a)]. 14437 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(240,a,13348,a(flip),b,14436,a(flip))]. 14438 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(73,a,14436,a(flip),b,4800,a(flip))]. 14439 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(238(a,1),14436(a,1,2)),flip(a)]. 14440 T(x,R((y * z) \ y,u,w)) = T(x,L(L(z \ 1,u,w),z,y)). [para(359(a,2),14436(a,2,2))]. 14441 T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,y / (w * K(u,z))). [para(7115(a,1),14436(a,1,2)),flip(a)]. 14442 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4860,a,14438,a),flip(a)]. 14443 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(14438(a,1),4860(a,1))]. 14444 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12598,a,14442,a)]. 14445 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(240,a,11248,a,b,14442,a),flip(a)]. 14446 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(240,a,12600,a,b,14442,a(flip)),flip(a)]. 14447 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(240,a,14212,a(flip),b,14442,a(flip))]. 14448 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(119(a,1),14442(a,1,2)),flip(a)]. 14449 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(238(a,1),14442(a,1,2)),flip(a)]. 14450 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(625(a,1),14442(a,1,2)),flip(a)]. 14451 K(x,L(T(y / z,z * u),z,u)) = K(x,(z * u) \ (y * u)). [para(850(a,1),14442(a,1,2)),flip(a)]. 14452 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(14442(a,1),480(a,1,2))]. 14454 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(14442(a,1),9429(a,1,2))]. 14455 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(240,a,13530,a,b,14444,a),flip(a)]. 14456 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(240,a,11248,a,b,14444,a)]. 14457 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(240,a,11001,a(flip),b,14444,a(flip))]. 14458 K(x,L(y \ 1,z,u)) = K(x,R(y,z,u) \ 1). [hyper(240,a,6424,a(flip),b,14444,a(flip))]. 14459 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(14444(a,1),118(a,1,1))]. 14460 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(14444(a,1),10048(a,1,1))]. 14462 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(491(a,1),14445(a,2,2))]. 14463 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(240,a,11309,a,b,14446,a)]. 14464 K((x * y) / (z * y),u) = K(x / z,L(u,z,y)). [para(119(a,1),14446(a,1,1))]. 14465 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(238(a,1),14446(a,1,1)),flip(a)]. 14466 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(240,a,6358,a(flip),b,14456,a(flip))]. 14468 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(14456(a,1),118(a,1,1))]. 14469 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(14456(a,1),148(a,1,1))]. 14470 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(14456(a,1),14014(a,1,1))]. 14472 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(238(a,1),14463(a,1,1)),flip(a)]. 14473 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(14463(a,1),8053(a,1))]. 14474 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(14463(a,1),10578(a,1))]. 14475 K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. [para(725(a,1),14443(a,1,2))]. 14476 L(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. [para(6271(a,1),14474(a,1))]. 14477 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(240,a,11261,a(flip),b,14458,a(flip))]. 14478 K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. [para(14458(a,2),6486(a,1))]. 14481 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(725(a,1),14477(a,1,2,1)),flip(a)]. 14483 T(x,L((y / z) / T(u,z),T(u,z),z)) = T(x,y / (u * ((u * z) / u))). [para(4120(a,1),14439(a,2,2,2))]. 14484 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,z / (w * u))) * v5). [para(14439(a,1),7171(a,1,2,1,2)),flip(a)]. 14485 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(14449(a,1),8616(a,2,2))]. 14486 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(401,a,10163,a,b,14459,a(flip)),flip(a)]. 14487 (K(x,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. [para(14459(a,1),20(a,1))]. 14489 K((x * y) / ((z \ 1) * y),u) = K(x * z,L(u,z \ 1,y)). [hyper(240,a,13705,a(flip),b,14464,a)]. 14490 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(240,a,11313,a(flip),b,14464,a),flip(a)]. 14491 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(240,a,7033,a(flip),b,14466,a(flip)),flip(a)]. 14492 (K(x,y) * z) * u != w * (z * u) | L(K(x,y),z,u) = w. [para(14468(a,1),20(a,1))]. 14494 (K(x,y) * z) * z = K(x,y) * (z * z). [para(13503(a,1),14468(a,1,1)),flip(a)]. 14495 K(x,y) * (z * z) = z * (z * K(x,y)). [hyper(240,a,12841,a(flip),b,14494,a(flip))]. 14496 (x * (x * K(y,z))) \ ((K(y,z) * x) * x) = a(K(y,z),x,x). [para(14495(a,1),24(a,2,1)),flip(a)]. 14498 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(5183(a,2),14472(a,2,1,2))]. 14499 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(6661(a,1),14472(a,2,1,2))]. 14500 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(13530(a,2),14455(a,2,1))]. 14501 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(463(a,1),14450(a,1,2)),flip(a)]. 14502 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(13943,a,14457,a)]. 14503 K(x,R(y,y \ z,u)) = K(x,L(((z * u) / u) / (y \ z),z * u,u)). [para(115(a,2),14502(a,2,2)),flip(a)]. 14504 K(x,L(T(y / z,u) / u,y,z)) = K(x,y / (T(u,y / z) * z)). [para(3954(a,2),14502(a,1,2,1))]. 14505 K(x,L((y / (z \ u)) / K(w,w \ z),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(9610(a,1),14502(a,2,2,2))]. 14506 x * (y * K(z,T(u,x * y))) = (K(z,u) * y) * T(x,y). [hyper(240,a,11272,a,b,14460,a(flip)),flip(a)]. 14507 L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). [para(4959(a,1),14462(a,1,1))]. 14508 (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). [para(7028(a,1),14506(a,1,2)),flip(a)]. 14509 T(x,L(L(y \ 1,z,u),y,w)) = T(x,L((w * y) \ w,z,u)). [hyper(240,a,14436,a(flip),b,14440,a(flip))]. 14510 K(x,L(T((y * (z * u)) / (y * z),(y * z) * u),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). [para(670(a,2),14451(a,2,2))]. 14511 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(8875(a,1),14489(a,1,1,1))]. 14513 (x * (x * K(y,z))) \ (K(y,z) * (x * x)) = a(K(y,z),x,x). [para(14494(a,1),14496(a,1,2))]. 14514 K(x,K(y,z * z)) = a(K(x,y),z,z). [hyper(13558,a,14513,a)]. 14515 K(x,K(y,z * z)) = 1. [hyper(240,a,13499,a(flip),b,14514,a)]. 14517 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13593(a,1),14452(a,1,2))]. 14518 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6161,a,14517,a)]. 14519 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(240,a,11648,a,b,14518,a(flip)),flip(a)]. 14520 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(73,a,14518,a(flip),b,11648,a),flip(a)]. 14522 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(6422,a,14519,a)]. 14523 ((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(6988(a,1),14519(a,1,1,1))]. 14524 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(4813(a,1),14522(a,1,1))]. 14525 a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. [para(14524(a,1),13826(a,1,1))]. 14526 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(240,a,108,a,b,14520,a)]. 14528 a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. [para(9596(a,1),14525(a,1,1,1))]. 14529 x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). [para(7611(a,1),14508(a,1,1)),flip(a)]. 14530 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6669,a,14470,a)]. 14531 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13708(a,1),14485(a,1,2))]. 14532 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(7094(a,1),14498(a,1,1,1))]. 14533 K(x,y / (T(z,y / u) * u)) = K(x,L(z \ (y / u),y,u)). [hyper(12783,a,14504,a),flip(a)]. 14534 K((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). [hyper(5991,a,14507,a)]. 14535 K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). [hyper(240,a,7672,a(flip),b,14534,a)]. 14536 K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). [hyper(5597,a,14535,a)]. 14537 x * K(y \ z,z \ (x * y)) != u | (z / y) * (x / (z / y)) = u. [para(14536(a,1),5138(a,1,2))]. 14538 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(240,a,9259,a,b,14530,a(flip)),flip(a)]. 14539 K(x,L(y / z,y,y \ u)) = K(x,u / (z * (y \ u))). [hyper(14478,a,11409,a),flip(a)]. 14540 K(x,R(y,y \ z,u)) = K(x,L(z / (y \ z),z * u,u)). [para(15(a,1),14503(a,2,2,1,1))]. 14541 K(x,R(y,y \ z,u)) = K(x,L(y,z * u,u)). [para(62(a,1),14540(a,2,2,1))]. 14542 K(x,L(y,y \ z,u)) = K(x,L(y,z * u,u)). [hyper(14443,a,14541,a)]. 14543 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [hyper(11287,a,14542,a),flip(a)]. 14544 K((x * y) \ (y \ z),L(u,x,y)) != w | K((y * (x * y)) \ z,u) = w. [para(14543(a,1),11395(a,1))]. 14545 T(x,y / (T(z,u) * u)) = T(x,y / (z * ((z * u) / z))). [hyper(240,a,14439,a(flip),b,14483,a(flip)),flip(a)]. 14547 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(240,a,6977,a(flip),b,14481,a)]. 14549 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(240,a,9467,a(flip),b,14547,a)]. 14550 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6168,a,14549,a),flip(a)]. 14551 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(240,a,12814,a(flip),b,14550,a)]. 14552 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(5764(a,1),14550(a,2,2,1))]. 14553 K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(7094(a,1),14505(a,1,2,1))]. 14554 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11789(a,1),14538(a,1,1))]. 14555 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7560(a,1),14554(a,1,1,2))]. 14556 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13307,a,14555,a)]. 14557 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7854(a,2),14556(a,1,2,2))]. 14558 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(10688(a,2),14557(a,1,2))]. 14559 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(7918(a,2),14558(a,1,2,2,2))]. 14560 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),14551(a,1,2,1,2))]. 14561 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(7042(a,2),14559(a,1,2,2))]. 14562 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(7451(a,1),14486(a,1,2,1,1))]. 14563 T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(13788,a,14437,a)]. 14564 T(x * (a(y,z,u) \ 1),x) = T(x * (1 / a(y,z,u)),a(y,z,u)). [hyper(240,a,2519,a(flip),b,14563,a)]. 14565 T(x * (a(y,z,u) \ 1),a(y,z,u)) = T(x * (a(y,z,u) \ 1),x). [para(12465(a,1),14564(a,2,1,2)),flip(a)]. 14566 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(11259(a,1),14499(a,1,1,1,1,2))]. 14567 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(7094(a,1),14566(a,1,1,1,1))]. 14568 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(11309(a,1),14567(a,1,1,1,1,2))]. 14569 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(7560(a,1),14511(a,1,1,1))]. 14570 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(13577(a,1),14569(a,1,1,2))]. 14571 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),14552(a,1,2,1,2))]. 14572 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5538(a,2),14561(a,1,2))]. 14573 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [hyper(240,a,12772,a,b,14572,a)]. 14574 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). [hyper(240,a,12767,a,b,14572,a)]. 14575 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(u,z) * y). [para(14572(a,1),14(a,1,2)),flip(a)]. 14576 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7560(a,1),14572(a,1,2,1,2))]. 14577 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * T(x,K(y,z))). [para(7562(a,1),14572(a,1,2,1,2))]. 14578 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,K(u \ 1,z) * x). [para(8002(a,1),14572(a,1,2,1,2))]. 14580 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(14575(a,2),241(a,1,2)),flip(b)]. 14581 T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(z,u) * y). [para(7560(a,1),14575(a,1,1,2))]. 14582 (x * y) \ T(z * T(x * y,K(u,u \ x)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(10187(a,1),14576(a,2,2))]. 14583 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(7578,a,14581,a)]. 14584 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(17,a,14575,a(flip),b,14583,a(flip))]. 14585 T(x,K(y,z * y) * u) = T(x,K(z,y) * u). [hyper(240,a,12746,a,b,14584,a),flip(a)]. 14586 T(x,K(y,y \ z) * u) = T(x,K(z,y) * u). [hyper(240,a,12772,a(flip),b,14584,a)]. 14587 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(73,a,14584,a,b,4800,a(flip))]. 14588 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(122(a,1),14584(a,1,2)),flip(a)]. 14589 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4815(a,1),14584(a,1,2)),flip(a)]. 14590 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5078(a,1),14584(a,1,2)),flip(a)]. 14591 T(x,K(y,z) * ((z * y) \ u)) = T(x,(y * z) \ u). [para(9603(a,1),14584(a,1,2)),flip(a)]. 14592 T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). [para(13510(a,1),14584(a,1,2)),flip(a)]. 14593 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4860,a,14587,a)]. 14594 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(14587(a,1),4860(a,1))]. 14595 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(12787,a,14593,a),flip(a)]. 14596 (x * T(y,K(x,K(z,u) * w))) \ (T(x,K(z,u) * w) * y) = K(x,K(u,z) * w). [hyper(240,a,8385,a,b,14593,a),flip(a)]. 14597 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5078(a,1),14593(a,1,2)),flip(a)]. 14598 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5183(a,2),14593(a,1,2))]. 14599 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7220(a,1),14593(a,1,2)),flip(a)]. 14600 K(x,K(y \ (z * u),u * z) * w) = K(x,K(u * z,y \ (u * z)) * w). [para(9520(a,1),14593(a,1,2,1)),flip(a)]. 14602 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). [hyper(240,a,14572,a,b,14589,a(flip)),flip(a)]. 14603 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5353(a,1),14589(a,1,2))]. 14604 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). [para(5325(a,1),14590(a,1,2)),flip(a)]. 14605 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5058(a,2),14597(a,1,2))]. 14606 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(177(a,1),14603(a,1,2,1)),flip(a)]. 14607 T(x,((y * K(z * y,z \ 1)) / (z * y)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5796(a,1),14603(a,1,2,1,1))]. 14608 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(10319,a,14606,a),flip(a)]. 14609 K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). [para(14604(a,2),8035(a,1,2))]. 14610 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4181(a,1),14605(a,1,2,1))]. 14611 K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. [para(354(a,1),14594(a,1,2))]. 14612 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7570(a,1),14588(a,1,2))]. 14613 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(14612(a,1),4750(a,2,2)),flip(a)]. 14614 T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). [para(7104(a,1),14612(a,1,2)),flip(a)]. 14615 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(14613(a,1),4833(a,1))]. 14616 T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). [para(6066(a,2),14614(a,1,2))]. 14618 K(x,y / ((z * u) / z)) = x \ T(x,y / T(u,z)). [hyper(73,a,14616,a(flip),b,4800,a(flip)),flip(a)]. 14620 K(x * K(y,y \ z),u) != w | K(x * K(z,y),u) = w. [para(12735(a,2),14615(a,1))]. 14621 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [para(10444(a,1),14591(a,1,2))]. 14622 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(10294,a,14608,a),flip(a)]. 14623 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(176(a,1),14622(a,1,2,2,1)),flip(a)]. 14624 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14623(a,1),4750(a,2,2))]. 14626 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(14618(a,2),4860(a,1))]. 14627 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(240,a,4750,a,b,14624,a)]. 14628 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1379(a,1),14627(a,2,1))]. 14629 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(240,a,13258,a(flip),b,14610,a(flip))]. 14631 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),14629(a,1,2,1,1)),flip(a)]. 14632 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [hyper(240,a,12802,a(flip),b,14631,a)]. 14633 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(177(a,1),14632(a,1,2,1,2)),flip(a)]. 14634 K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). [hyper(240,a,13259,a(flip),b,14633,a(flip)),flip(a)]. 14635 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(y * x) \ z). [para(14633(a,1),10354(a,2,2))]. 14636 T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. [para(14573(a,1),14580(a,1))]. 14637 T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. [para(14574(a,1),14580(a,1))]. 14640 T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. [para(6469(a,2),14637(a,1,2,1))]. 14641 T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. [para(11028(a,2),14637(a,1,2,1))]. 14642 T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. [para(14584(a,1),14640(a,1))]. 14643 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(12746(a,1),14642(a,1))]. 14644 T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. [para(5530(a,1),14643(a,1,2))]. 14645 T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. [para(12745(a,2),14643(a,1))]. 14646 T(x,K(y,z * y) * u) != w | T(x,K(y,z) * u) = w. [para(14585(a,2),14643(a,1))]. 14647 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(240,a,14588,a(flip),b,14577,a)]. 14648 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). [para(8002(a,1),14578(a,1,2))]. 14649 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [hyper(14580,a,14648,a),flip(a)]. 14650 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(73,a,14649,a(flip),b,4800,a(flip)),flip(a)]. 14651 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(240,a,4753,a,b,14650,a)]. 14652 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(14594,a,14651,a)]. 14653 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(5044(a,1),14651(a,1,2)),flip(a)]. 14654 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(14651(a,1),6718(a,1,1))]. 14655 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6111(a,1),14652(a,1,2,1)),flip(a)]. 14656 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(14652(a,1),6719(a,1,1))]. 14657 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(12787,a,14655,a),flip(a)]. 14658 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(240,a,14597,a(flip),b,14657,a(flip)),flip(a)]. 14659 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7220(a,1),14657(a,1,2))]. 14660 K(x,K(y,z \ y) * u) != w | K(x,K(y,z) * u) = w. [para(14657(a,2),14594(a,1))]. 14661 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5078(a,1),14658(a,2,2))]. 14662 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4839(a,1),14653(a,1,2,2)),flip(a)]. 14663 (T(x,y) * y) * (z / (T(x,y) * y)) != u | (y * x) * (z / (y * x)) = u. [para(14635(a,2),5138(a,1))]. 14664 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(240,a,14599,a(flip),b,14659,a)]. 14665 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9682(a,1),14664(a,1,2))]. 14666 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,14571,a(flip),b,14665,a(flip)),flip(a)]. 14667 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(5782(a,1),14665(a,1,2,2,2)),flip(a)]. 14668 K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(14600(a,2),14660(a,1))]. 14669 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(10260(a,1),14634(a,1,2,1,1))]. 14670 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(240,a,14633,a(flip),b,14669,a(flip))]. 14671 K(x,(((y \ z) * y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(14(a,1),14670(a,1,2,1,1,1)),flip(a)]. 14672 K(x,T(y \ (z * u),y / u) \ 1) = K(x,(T(z,y / u) * u) \ y). [hyper(6175,a,14671,a)]. 14673 K(x,T((y \ (z * u)) \ 1,y / u)) = K(x,(T(z,y / u) * u) \ y). [hyper(7300,a,14672,a)]. 14674 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9364,a,14654,a),flip(a)]. 14675 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5785(a,1),14674(a,1,2,1))]. 14676 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9364,a,14656,a),flip(a)]. 14677 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6301(a,1),14676(a,1,2,1))]. 14678 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(7498(a,1),14677(a,2,2))]. 14679 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1880(a,1),14628(a,1,1))]. 14680 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4790(a,1),14679(a,1,1,2)),flip(a)]. 14681 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4754(a,1),14680(a,1,1,2))]. 14682 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(14681(a,1),13677(a,1,1,2))]. 14683 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(7444,a,14682,a),flip(a)]. 14684 (x * y) \ T(z * T(x * y,K(x,u)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(7845(a,1),14582(a,1,2,1,2))]. 14685 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) * y). [para(7841(a,1),14684(a,1,2))]. 14686 T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). [hyper(240,a,14602,a(flip),b,14685,a(flip))]. 14687 K((x * (y / x)) * z,u) = u / T(u,T(y,x) * z). [para(14686(a,1),4750(a,2,2))]. 14688 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(240,a,4750,a,b,14687,a)]. 14689 K(T(x * y,y) * z,u) = K((y * x) * z,u). [para(15(a,1),14688(a,1,1,1,2)),flip(a)]. 14690 K(T((x \ y) * z,y \ x) * u,w) = K((z * (x \ y)) * u,w). [hyper(240,a,12749,a,b,14689,a(flip)),flip(a)]. 14691 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,14675,a(flip),b,14666,a(flip)),flip(a)]. 14692 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(240,a,13257,a(flip),b,14691,a(flip)),flip(a)]. 14693 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4800(a,2),14692(a,1,2,1))]. 14694 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(3919(a,1),14693(a,1,2,1))]. 14695 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(122(a,1),14694(a,1,2,2,1))]. 14696 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(122(a,1),14695(a,1,2,2,2,2))]. 14697 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7897(a,1),14696(a,2,2))]. 14699 T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5959(a,1),14607(a,1,2,1))]. 14700 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7629(a,1),14662(a,2,2,1))]. 14701 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7611(a,1),14700(a,2,2))]. 14702 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4839(a,1),14701(a,1,2,2,1,2))]. 14703 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(5041(a,1),14702(a,1,2))]. 14704 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(14703(a,1),4980(a,1,2)),flip(a)]. 14705 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(240,a,4980,a(flip),b,14704,a)]. 14706 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(14615,a,14705,a)]. 14707 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(240,a,10349,a(flip),b,14705,a(flip))]. 14708 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(10360,a,14706,a)]. 14709 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(240,a,14707,a(flip),b,14708,a)]. 14710 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(10606,a,14709,a)]. 14711 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(240,a,10533,a(flip),b,14710,a),flip(a)]. 14712 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4536(a,1),14711(a,1,1))]. 14713 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8061,a,14712,a),flip(a)]. 14714 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(240,a,9491,a,b,14713,a(flip)),flip(a)]. 14715 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12731,a,14714,a),flip(a)]. 14716 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12743,a,14715,a),flip(a)]. 14717 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). [hyper(240,a,10645,a,b,14716,a(flip)),flip(a)]. 14718 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4812(a,1),14716(a,1,1,2)),flip(a)]. 14719 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(14718(a,1),4980(a,1,2)),flip(a)]. 14720 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(240,a,4980,a(flip),b,14719,a)]. 14721 K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). [para(124(a,1),14720(a,1,2,2,1))]. 14722 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3972(a,1),14720(a,1,2,2,1))]. 14723 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4777(a,1),14720(a,1,2,2,1)),flip(a)]. 14724 T(x,y \ T(z \ u,z)) = x * K(x,y \ (u / z)). [para(14721(a,1),4800(a,2,2))]. 14725 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(6692,a,14723,a)]. 14726 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2920(a,2),14725(a,2,2,2))]. 14727 T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. [para(14724(a,2),4803(a,1))]. 14728 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(240,a,12812,a(flip),b,14722,a(flip)),flip(a)]. 14729 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3953(a,1),14728(a,1,2,2)),flip(a)]. 14730 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ T(y,z)). [hyper(240,a,11410,a,b,14729,a(flip)),flip(a)]. 14731 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(240,a,14697,a(flip),b,14729,a(flip))]. 14732 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(4120(a,2),14729(a,1,2,2)),flip(a)]. 14733 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(9019(a,1),14731(a,1,2,2,2))]. 14734 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(240,a,12812,a(flip),b,14732,a(flip))]. 14735 K(x \ (T(y,z) * z),u) = w / (K(u,x \ (z * y)) * w). [para(14734(a,1),5184(a,1,2,1)),flip(a)]. 14736 K(x \ (T(y,z) * z),u) != w | K(x \ (z * y),u) = w. [para(14735(a,2),5194(a,1))]. 14737 K(x \ T(y * z,z),u) = K(x \ (z * y),u). [hyper(14736,a,12764,a(flip)),flip(a)]. 14738 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [para(16(a,1),14737(a,1,1,2,1)),flip(a)]. 14739 K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). [hyper(240,a,13947,a(flip),b,14738,a(flip))]. 14741 K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). [hyper(11349,a,14730,a)]. 14742 K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). [hyper(13943,a,14741,a)]. 14743 K(x,y / (T(z,y / u) * u)) = K(x,(u * z) \ T(y,u)). [hyper(240,a,14533,a,b,14742,a(flip)),flip(a)]. 14744 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(9661(a,1),14742(a,2,2,1))]. 14745 K(x \ (y * (z * (u / z))),w) = K(x \ (y * T(u,z)),w). [hyper(240,a,13947,a(flip),b,14739,a(flip))]. 14746 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (u * z)),w). [para(15(a,1),14745(a,1,1,2,2,2)),flip(a)]. 14747 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * ((u \ 1) * ((z * u) / (u \ 1)))),w). [para(6096(a,1),14745(a,2,1,2,2)),flip(a)]. 14748 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(T(u \ x,u),z)). [hyper(240,a,10641,a(flip),b,14717,a)]. 14749 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(x / u,z)). [hyper(240,a,8296,a(flip),b,14748,a)]. 14750 K(x \ (y * T(z * K(y,z),u)),y \ x) = K((y \ x) \ z,T(x / y,u)). [para(8854(a,1),14749(a,1,1,2))]. 14751 K(x \ (y * (z * K(y,z))),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [hyper(10646,a,14750,a)]. 14752 K(x \ (T(y,z) * z),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [para(4828(a,1),14751(a,1,1,2))]. 14753 K((x \ y) \ z,T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). [hyper(14736,a,14752,a),flip(a)]. 14754 K(x \ (y * T(z,u)),x / y) = K(x \ (z * y),T(y \ x,u)). [hyper(10651,a,14753,a)]. 14755 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9699(a,1),14667(a,2,2))]. 14756 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7903(a,1),14755(a,1,2))]. 14757 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9280(a,1),14756(a,1,2)),flip(a)]. 14758 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(240,a,8029,a(flip),b,14757,a)]. 14761 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(240,a,14560,a(flip),b,14758,a(flip)),flip(a)]. 14762 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(3970(a,1),14761(a,1,2,2,1))]. 14763 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(7735(a,1),14678(a,1,2,2,2))]. 14764 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(7491(a,2),14763(a,1,2,2))]. 14766 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(10176(a,1),14764(a,1,2)),flip(a)]. 14767 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(240,a,6125,a(flip),b,14766,a)]. 14768 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(240,a,13258,a(flip),b,14767,a(flip)),flip(a)]. 14769 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6171,a,14768,a),flip(a)]. 14774 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(240,a,14683,a,b,14769,a(flip)),flip(a)]. 14775 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(240,a,14726,a(flip),b,14774,a(flip))]. 14776 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(240,a,14725,a(flip),b,14775,a(flip))]. 14777 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),14776(a,1,2,2,2)),flip(a)]. 14778 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8096(a,1),14777(a,1,2,2))]. 14780 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(9184(a,1),14762(a,1,2,1))]. 14781 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3970(a,1),14780(a,1,2,2,2,2))]. 14783 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(240,a,14661,a(flip),b,14781,a(flip)),flip(a)]. 14784 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12684(a,1),14783(a,2,2))]. 14785 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(240,a,14729,a(flip),b,14784,a(flip)),flip(a)]. 14786 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(240,a,6296,a(flip),b,14733,a(flip)),flip(a)]. 14787 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(10325(a,1),14786(a,1,2,2))]. 14788 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12791,a,14787,a)]. 14789 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(240,a,14629,a(flip),b,14788,a(flip))]. 14790 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8094(a,1),14789(a,1,2))]. 14791 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8099,a,14790,a),flip(a)]. 14792 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(5043(a,1),14791(a,1,2,1)),flip(a)]. 14793 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(7094(a,1),14744(a,1,2,1,2))]. 14794 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(7901(a,1),14792(a,2,2,2))]. 14795 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(8350(a,1),14794(a,2,2,2))]. 14796 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(240,a,14778,a(flip),b,14795,a)]. 14797 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(240,a,14677,a(flip),b,14796,a)]. 14798 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(240,a,13257,a(flip),b,14797,a)]. 14799 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(4800(a,2),14798(a,2,2,1))]. 14800 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(240,a,14785,a(flip),b,14799,a)]. 14801 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),14800(a,1,2,1,2))]. 14802 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(9135(a,1),14801(a,1,2))]. 14803 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(10260(a,1),14802(a,1,2)),flip(a)]. 14804 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),14803(a,1,2,1)),flip(a)]. 14805 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),14803(a,1,2,2)),flip(a)]. 14806 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),14804(a,1,2,1)),flip(a)]. 14807 K(x,T(y,K(z,u) * w)) = K(x,T(y,w * K(u,z))). [hyper(14163,a,14806,a)]. 14808 K(x \ (y * z),T(x / y,z * x)) = K(x \ (y * z),y \ x). [hyper(240,a,11208,a(flip),b,14806,a(flip))]. 14809 K(x * y,x) \ K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(73,a,14806,a(flip),b,7860,a)]. 14811 x * K(x,T(y,z * u)) = T(x,T(y,z \ u)). [para(14806(a,1),4800(a,2,2)),flip(a)]. 14812 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(14806(a,1),8099(a,1))]. 14814 K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,u) = w. [para(14806(a,1),10357(a,1))]. 14815 T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. [para(14811(a,1),4803(a,1))]. 14816 T(x,T(y \ z,z * y)) = T(x,y \ z). [hyper(14815,a,2923,a)]. 14817 T(x,T(((y \ z) \ u) \ K(y \ z,y),(z / y) \ u)) = T(x,((y \ z) \ u) \ K(y \ z,y)). [para(5325(a,1),14816(a,1,2,2))]. 14818 T(x,T((K(y,y \ z) * u) \ (y \ z),(z / y) * u)) = T(x,(K(y,y \ z) * u) \ (y \ z)). [para(5380(a,1),14816(a,1,2,2))]. 14819 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12826(a,1),14805(a,1,2))]. 14820 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(14647(a,2),14807(a,2,2)),flip(a)]. 14821 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(14812,a,14819,a)]. 14822 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(14821(a,1),11780(a,1,1))]. 14823 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11458,a,14822,a)]. 14824 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(7863,a,14823,a)]. 14825 K(x,K(y,z \ u)) = K(y,K(x,u / z)). [hyper(7773,a,14823,a)]. 14826 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7770,a,14823,a)]. 14827 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(240,a,7487,a,b,14823,a)]. 14828 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(14823(a,2),7532(a,1))]. 14831 K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). [hyper(240,a,14823,a(flip),b,14824,a(flip))]. 14833 K(x,T(K(y,z),u)) = K(x,K(y,z)). [para(6033(a,1),14824(a,1,2))]. 14834 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(7144(a,1),14824(a,1,2)),flip(a)]. 14835 T(x,K(y,T(z,u))) = K(y,K(z,x)) * x. [para(14824(a,1),7504(a,1,1)),flip(a)]. 14836 T(x,K(y,T(z,u))) = K(x,K(z,y)) * x. [para(14824(a,1),7531(a,1,1)),flip(a)]. 14837 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(10265(a,1),14824(a,1,2))]. 14838 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(14824(a,1),10393(a,1,1))]. 14839 K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). [para(14824(a,1),10395(a,1,1))]. 14841 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7461,a,14826,a)]. 14843 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),y)). [hyper(240,a,11474,a,b,14826,a(flip)),flip(a)]. 14847 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) / y). [para(14826(a,1),8171(a,1,2))]. 14848 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) \ y). [para(14826(a,1),8177(a,1,2))]. 14849 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7676(a,1),14826(a,1,2))]. 14851 K(x,K(y,z)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(14826(a,1),11467(a,1,1))]. 14854 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(6981(a,1),14827(a,1,2))]. 14855 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(14827(a,1),7773(a,1))]. 14856 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(10281(a,2),14827(a,1,2))]. 14857 K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). [para(14827(a,1),10396(a,1,2))]. 14858 K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). [para(13706(a,1),14827(a,1,2))]. 14860 K(K(x,y),K(z,u)) = 1. [hyper(74,a,14833,a(flip),b,7857,a),flip(a)]. 14861 K(x,K(y,K(z,u))) = 1. [hyper(74,a,14833,a(flip),b,7524,a),flip(a)]. 14862 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(14833(a,1),6988(a,1,2)),flip(a)]. 14863 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(14833(a,1),6989(a,1,2))]. 14864 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [para(14833(a,1),6990(a,1,2,2)),flip(a)]. 14865 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(14833(a,1),7661(a,1,1))]. 14868 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(14833(a,1),14506(a,1,2,2)),flip(a)]. 14869 T(K(x,y),K(z,u)) = K(x,y). [hyper(37,a,14860,a)]. 14873 T(x,K(y,K(z,u))) = x. [hyper(37,a,14861,a)]. 14875 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(10320,a,14873,a)]. 14876 K(x,T(y,K(z,u))) = K(x,y). [hyper(9897,a,14873,a)]. 14877 (x * y) * K(x,K(z,u)) = T(x,K(z,u)) * y. [hyper(8181,a,14873,a)]. 14878 T(x,T(y,K(z,u))) = T(x,y). [hyper(6912,a,14873,a)]. 14879 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(240,a,8907,a(flip),b,14873,a(flip))]. 14880 T(x / T(y,K(z,u)),y) = T(y,K(z,u)) \ x. [hyper(240,a,7642,a(flip),b,14873,a(flip)),flip(a)]. 14882 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(14873(a,1),5052(a,1,2)),flip(a)]. 14884 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(14873(a,1),10294(a,1,1))]. 14886 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(10285,a,14869,a),flip(a)]. 14888 K(T(x,K(y,z)),u) = K(x,u). [hyper(7255,a,14869,a)]. 14889 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(6221,a,14869,a),flip(a)]. 14893 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(14869(a,1),122(a,1,2))]. 14894 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(14869(a,1),231(a,1,2))]. 14902 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(14869(a,1),6221(a,1))]. 14904 K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y). [para(14869(a,1),7150(a,1,1))]. 14905 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(14869(a,1),7331(a,1,2)),flip(a)]. 14906 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(14869(a,1),7645(a,1))]. 14910 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(14869(a,1),10285(a,1))]. 14914 K(K(x,y) * (z * x),u) = K(z * T(x,y),u). [hyper(10355,a,14876,a)]. 14915 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(10346,a,14876,a),flip(a)]. 14918 K(x * K(y,z),T(y,K(u,w))) = K(x,y). [hyper(240,a,7742,a(flip),b,14876,a)]. 14920 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(240,a,14490,a(flip),b,14876,a(flip)),flip(a)]. 14921 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(240,a,10345,a(flip),b,14876,a(flip)),flip(a)]. 14923 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(6889(a,1),14876(a,1,2))]. 14925 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(14876(a,1),7782(a,1))]. 14927 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(7872(a,1),14876(a,1,2)),flip(a)]. 14930 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(8907(a,1),14876(a,1,2)),flip(a)]. 14931 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(14876(a,1),10297(a,1))]. 14932 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(10317(a,1),14876(a,1,2))]. 14933 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(14876(a,1),10338(a,1))]. 14935 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(14876(a,1),10922(a,1,1))]. 14940 T((x / y) * T(y,z),x / y) = T(x * K(y,z),y \ x). [hyper(240,a,6900,a(flip),b,14878,a(flip)),flip(a)]. 14941 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(6889(a,1),14878(a,1,2))]. 14944 T(x,K(y,z) \ u) = T(x,u * K(z,y)). [para(7872(a,1),14878(a,1,2)),flip(a)]. 14945 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(7873(a,1),14878(a,1,2))]. 14947 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(14878(a,1),9142(a,1))]. 14951 K(K(x,y) \ z,u) = K(z * K(y,x),u). [para(7872(a,1),14888(a,1,1)),flip(a)]. 14952 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(14888(a,1),7803(a,1))]. 14953 K(K(x,y),z * u) = K(x,K(y,u * z)). [hyper(10297,a,14841,a)]. 14954 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(14841(a,1),7661(a,1,1))]. 14955 K(x,K(y,z)) * (u / z) = u / T(z,K(x,y)). [para(14841(a,1),8132(a,1,1))]. 14956 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [hyper(10296,a,14923,a),flip(a)]. 14957 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8201,a,14923,a)]. 14958 K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)). [hyper(7796,a,14923,a),flip(a)]. 14962 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(240,a,7608,a(flip),b,14923,a)]. 14965 K(x,T(T(y * T(z,u),w),z)) = K(x,T(T(z,u) * y,w)). [hyper(240,a,10290,a(flip),b,14923,a(flip))]. 14968 K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. [para(14923(a,1),7778(a,1))]. 14969 K(x / T(y,z),T(u,y)) != w | K(T(y,z) \ x,u) = w. [para(14923(a,1),7783(a,1))]. 14971 K(x,T(y \ T(z,u),z)) != w | K(x,T(z,u) / y) = w. [para(14923(a,1),7800(a,1))]. 14981 (x * (y / x)) \ (K(x,x \ y) * (y * K(z * (x * (y / x)),u))) = K((x * (y / x)) * z,T(u,y)). [hyper(240,a,11696,a,b,14957,a(flip)),flip(a)]. 14983 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(14957(a,1),11703(a,1,2))]. 14984 T(K(x,y) * z,T(z,u)) = (z * (z * K(x,T(y,z)))) / z. [para(14957(a,1),12850(a,1,1,2,2)),flip(a)]. 14985 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5644(a,1),14906(a,1,2,2))]. 14986 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(6889(a,1),14906(a,1,2))]. 14988 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7042(a,2),14906(a,1))]. 14990 K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. [para(7873(a,1),14906(a,1,2))]. 14991 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(7876(a,1),14906(a,1,2))]. 14993 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(10317(a,1),14906(a,1,2))]. 14994 K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. [para(7054(a,2),14925(a,1,1))]. 14996 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(6889(a,1),14947(a,1,2))]. 14998 T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. [para(7876(a,1),14947(a,1,2))]. 15001 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(10317(a,1),14947(a,1,2))]. 15003 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(240,a,8325,a,b,14825,a(flip)),flip(a)]. 15004 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(14825(a,2),7489(a,1))]. 15005 K(x,K(y,z \ u)) * K(x,y / (u / z)) = K(x,(u / z) \ y). [para(14825(a,2),8145(a,1,1))]. 15006 K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. [para(14825(a,2),10392(a,1,1))]. 15008 T(x,K(y,T(z,u))) = x * K(z,K(y,T(x,w))). [para(14831(a,1),7493(a,1,2)),flip(a)]. 15013 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8079,a,14834,a)]. 15014 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(240,a,8727,a,b,14834,a),flip(a)]. 15016 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(240,a,11914,a,b,14834,a(flip)),flip(a)]. 15017 K(x,K(y,z \ u)) * K(x,(u / z) * y) = K(x,y * (u / z)). [para(14834(a,1),10395(a,1,1))]. 15018 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(13588(a,2),14834(a,2,2)),flip(a)]. 15020 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(240,a,7455,a(flip),b,14835,a)]. 15021 T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. [para(15020(a,1),7879(a,1,1))]. 15024 K(x,K(y,z * u)) * (u * z) = T(u * z,K(x,y)). [para(14837(a,1),7504(a,1,1))]. 15025 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(14837(a,1),7489(a,1))]. 15029 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(14854(a,2),7545(a,1))]. 15030 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(11252(a,1),14854(a,1,2)),flip(a)]. 15031 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(240,a,10316,a(flip),b,14856,a(flip)),flip(a)]. 15032 K(x,K(y,z)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). [para(14856(a,1),10393(a,1,1))]. 15033 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(8281,a,14862,a),flip(a)]. 15034 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7542,a,14862,a)]. 15035 (K(x,K(y,z)) * u) * K(x,K(y,z)) = u. [hyper(7541,a,14862,a)]. 15036 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7539,a,14862,a)]. 15037 K(x,K(y,z)) * (u \ x) = u \ T(x,K(y,z)). [hyper(240,a,14083,a(flip),b,14862,a)]. 15038 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(240,a,8318,a(flip),b,14862,a)]. 15039 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(240,a,7546,a(flip),b,14862,a)]. 15040 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (L(w,u,K(x,K(y,z))) * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(14862(a,1),441(a,2,3))]. 15041 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14862(a,2),441(a,2,3))]. 15043 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7487(a,1),14862(a,1,1))]. 15044 (K(x,K(y,z)) * u) * K(x,K(y,z)) != w | w = u. [para(14862(a,1),7541(a,1))]. 15045 T(x,y * K(z \ u,z)) = T(x,K(u,z) * y). [hyper(14636,a,14875,a),flip(a)]. 15046 T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). [hyper(240,a,14614,a(flip),b,14875,a)]. 15047 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(240,a,14572,a,b,14875,a(flip)),flip(a)]. 15048 T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). [hyper(240,a,14586,a(flip),b,14875,a(flip))]. 15049 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(14083(a,1),14875(a,2,2))]. 15050 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(14875(a,1),14583(a,2,2))]. 15051 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(14594,a,14886,a)]. 15052 K(x,y * K(z,z * u)) = K(x,K(z,u) * y). [hyper(240,a,12890,a,b,14886,a),flip(a)]. 15053 K(x,K(y,y \ z) * u) = K(x,u * K(z,y)). [hyper(240,a,14595,a,b,14886,a(flip)),flip(a)]. 15054 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [hyper(240,a,14597,a(flip),b,14886,a(flip))]. 15055 K(x,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). [para(10032(a,1),14886(a,2,2))]. 15056 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(14886(a,1),14594(a,1))]. 15057 K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(14886(a,1),14668(a,1))]. 15058 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(240,a,14501,a,b,14889,a),flip(a)]. 15061 (x * (K(y,z) * K(u,w))) * a(x,K(u,w),K(y,z)) = (x * K(u,w)) * K(y,z). [para(14893(a,1),94(a,1,1,2))]. 15063 K(x * K(y,z),x \ y) = K(x,T(x \ y,z)). [hyper(10639,a,14915,a),flip(a)]. 15064 K(x * K(y,z),u / x) = K(x * K(y,z),x \ u). [hyper(10356,a,14915,a),flip(a)]. 15065 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(14615,a,14915,a(flip)),flip(a)]. 15066 K(x * K(y,z),x \ K(z,y)) = K(x,x \ 1). [hyper(240,a,14239,a(flip),b,14915,a(flip))]. 15067 T(x,K(y,z)) * K(K(z,y) * x,u) = K(y,z) * T(x * K(z,y),u). [para(14915(a,2),7874(a,1,2))]. 15068 x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(14915(a,1),13977(a,1,2))]. 15069 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(14915(a,2),14615(a,1))]. 15070 K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). [para(10105(a,1),14927(a,2,2))]. 15071 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). [hyper(14475,a,14930,a)]. 15072 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(240,a,14491,a,b,14930,a),flip(a)]. 15073 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [hyper(240,a,11957,a,b,14930,a(flip)),flip(a)]. 15074 K(x,T((y \ (z * u)) \ 1,u \ y)) = K(x,(T(z,y / u) * u) \ y). [hyper(240,a,14673,a(flip),b,14930,a(flip))]. 15077 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,(w * u) \ z)) * v5). [para(14930(a,1),14484(a,2,2,1))]. 15078 K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). [hyper(7797,a,14932,a),flip(a)]. 15083 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(14953(a,1),7763(a,1))]. 15084 K(x / y,T(x,z) \ u) = K(y \ x,u / T(x,z)). [hyper(7796,a,14962,a),flip(a)]. 15086 K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. [para(14962(a,1),7796(a,1))]. 15088 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),15013(a,2,2,2))]. 15089 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [hyper(240,a,6881,a,b,15034,a)]. 15090 K(x,K(y,z)) * (u * T(x,K(y,z))) = u * x. [hyper(18,a,5929,a,b,15035,a)]. 15091 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(15036(a,1),442(a,1,2,2,2)),flip(a)]. 15094 K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). [para(10045(a,1),15051(a,2,2))]. 15095 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(240,a,14915,a,b,15065,a)]. 15096 K(x * K(y,y \ z),u) = K(K(z,y) * x,u). [hyper(240,a,12735,a,b,15065,a),flip(a)]. 15097 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(15065(a,2),5260(a,1))]. 15098 K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). [para(14083(a,1),15065(a,2,1))]. 15099 K(K(x * y,x) * z,u) = K(K(x,y) * z,u). [hyper(240,a,12736,a(flip),b,15095,a)]. 15100 K(K(x \ y,x) * (y * z),u) = K((x * (y / x)) * z,u). [para(10187(a,1),15095(a,1,1)),flip(a)]. 15101 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(6980(a,1),14828(a,1,2))]. 15102 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(10329(a,1),14828(a,1,2))]. 15106 K(T(x,y) \ z,u) != w | K(z / T(x,y),T(u,x)) = w. [para(7162(a,1),14986(a,1))]. 15107 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(7901(a,1),14986(a,1,2))]. 15108 K(x,T(y,(z \ u) * z)) != w | K(x,T(y,u)) = w. [para(10259(a,2),14986(a,1,2))]. 15110 T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. [para(7901(a,1),14996(a,1,2))]. 15113 K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. [para(4489(a,1),15097(a,1,1))]. 15114 K((x * (1 / y)) \ z,u) != w | K((x * (y \ 1)) \ z,u) = w. [para(4505(a,1),15097(a,1,1))]. 15116 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [hyper(73,a,14865,a(flip),b,7535,a),flip(a)]. 15117 T(x,K(y * (x * z),u)) = (T(x,K(u,z * y)) * z) / z. [para(14877(a,1),10462(a,1,1)),flip(a)]. 15118 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(5926(a,1),14882(a,1,2)),flip(a)]. 15119 x * T(L(y / x,z,u) * K(x,K(w,v5)),x) = T(x,K(w,v5)) * L(x \ y,z,u). [para(6886(a,2),14882(a,1,2))]. 15120 (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). [para(5929(a,1),14905(a,1,1))]. 15122 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(14914(a,1),11890(a,2,2))]. 15125 K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). [hyper(7797,a,14956,a)]. 15126 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(w,K((y * u) \ z,T(x,v5))). [para(14490(a,1),15008(a,1,2))]. 15127 T(x,K(y,z)) \ (u \ T(x,K(y,z))) = x \ (u \ x). [hyper(73,a,15037,a(flip),b,4780,a)]. 15128 T(x,y \ K(z \ u,z)) = T(x,K(u,z) * (1 / y)). [hyper(13787,a,15045,a)]. 15129 T(x,K(y,z) * (u * y)) = T(x,u * (z * (y / z))). [para(10105(a,1),15048(a,1,2)),flip(a)]. 15130 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [hyper(240,a,14886,a(flip),b,15053,a(flip)),flip(a)]. 15131 K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. [para(15073(a,1),7797(a,1))]. 15132 (x * T(y,K(z,u))) \ y = (x * y) \ T(y,K(z,u)). [para(15090(a,1),11937(a,1,1)),flip(a)]. 15133 K(x * K(y \ z,y),u) = K(K(z,y) * x,u). [hyper(14615,a,15096,a)]. 15134 K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). [para(7101(a,1),15096(a,1,1)),flip(a)]. 15135 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [hyper(240,a,15095,a,b,15099,a)]. 15137 K(K(x * (y * z),x * y) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(106(a,1),15135(a,1,1,1,1))]. 15144 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(14584(a,1),14884(a,1))]. 15145 (x * K(y,z)) * (1 / x) != u | K(y,z) * K(x,x \ K(z,y)) = u. [para(14219(a,1),14894(a,1))]. 15146 K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. [para(15051(a,2),14894(a,1,1))]. 15147 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(14593(a,1),14910(a,1))]. 15148 K(x,K(y \ 1,z) * u) != w | K(x,u * K(y,z)) = w. [para(14651(a,2),14910(a,1))]. 15150 K(x * K(y,z),u) != w | K(K(y \ 1,z) * x,u) = w. [para(14705(a,1),14933(a,1))]. 15151 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(15065(a,2),14933(a,1))]. 15153 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(13755(a,2),14993(a,1,2))]. 15154 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13588(a,2),15004(a,1,2))]. 15155 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(118(a,1),15083(a,1,2,2))]. 15157 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. [para(11957(a,2),15107(a,1))]. 15158 K(((x \ y) * x) * z,T(u,y)) = K(z * ((x \ y) * x),u). [hyper(15108,a,10329,a)]. 15159 K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). [hyper(15108,a,7607,a)]. 15166 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(14875(a,1),15144(a,1))]. 15167 K(x,y * K(z,u)) != w | K(x,y * K(u \ z,u)) = w. [para(15053(a,1),15147(a,1))]. 15168 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(14915(a,1),15151(a,1))]. 15171 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(75,a,14864,a,b,xx)]. 15173 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(240,a,6985,a,b,14954,a)]. 15174 T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). [para(15064(a,1),14113(a,1,2))]. 15175 K((x * (1 / y)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [para(13791(a,1),15078(a,1,2))]. 15176 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,(y * z) / T(x,y)). [hyper(240,a,12827,a,b,15084,a(flip)),flip(a)]. 15177 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(124(a,1),15089(a,2,2,2))]. 15178 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7491(a,2),15089(a,1,1))]. 15179 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7872(a,1),15116(a,1,1)),flip(a)]. 15180 (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. [para(15118(a,1),12853(a,1))]. 15181 T(x,y \ K(z \ u,z)) = T(x,K(u,z) / y). [hyper(240,a,13754,a(flip),b,15128,a)]. 15182 T(x,y \ K(z \ u,z)) = T(x,y \ K(u,z)). [hyper(240,a,14879,a(flip),b,15181,a)]. 15184 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(15173(a,2),19(a,1))]. 15185 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(14875(a,2),14935(a,2,2,1))]. 15186 K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. [para(8029(a,1),14969(a,1))]. 15187 K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. [para(14593(a,1),14990(a,1))]. 15189 K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. [para(14598(a,2),14991(a,1))]. 15191 T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. [para(14584(a,1),14998(a,1))]. 15192 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(15129(a,1),14998(a,1))]. 15193 K(x / T(y,z),T(y,y)) = K(y \ x,y). [hyper(15106,a,6760,a)]. 15194 K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. [para(14886(a,1),15148(a,1))]. 15195 K(x,y * K(z,u \ 1)) != w | K(x,y * K(u,z)) = w. [para(15051(a,1),15148(a,1))]. 15196 K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). [hyper(15150,a,15065,a(flip))]. 15197 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(14837(a,1),15154(a,1))]. 15199 K(x,K(y * z,u) * (w / ((y \ 1) \ z))) != v5 | K(x,w / T((y \ 1) \ z,u)) = v5. [para(13574(a,1),15187(a,1,2,1))]. 15200 T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(6833(a,1),15191(a,1,2,1))]. 15202 T(x,(y * z) * (u / (z * y))) != w | T(x,K(y,z) * T(u,z * y)) = w. [para(10159(a,1),15192(a,1,2))]. 15203 K(x,K(y,z)) * K(x,z * T(y,u)) != w | K(x,T(y,u) * z) = w. [para(14838(a,1),7541(a,1,2)),flip(b)]. 15204 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) * (y \ 1)). [hyper(240,a,13587,a,b,14847,a)]. 15205 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,z * u) / y). [para(12809(a,1),14847(a,1,1))]. 15206 K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(7954(a,1),14857(a,1,2))]. 15207 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(182,a,14864,a,b,14868,a)]. 15209 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(14998,a,15207,a)]. 15210 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(14884,a,15207,a)]. 15211 T(x,(K(y,z) * u) \ w) = T(x,(u * K(y,z)) \ w). [hyper(240,a,14591,a(flip),b,15207,a(flip))]. 15212 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(73,a,15207,a(flip),b,4800,a(flip)),flip(a)]. 15213 a(T(K(x,K(y,z)) * u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). [para(15207(a,1),4266(a,1,2))]. 15214 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(6207(a,1),15207(a,1,2))]. 15215 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7000(a,1),15207(a,1,2))]. 15216 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(8678(a,1),15207(a,1,2))]. 15217 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(10159(a,1),15207(a,1,2)),flip(a)]. 15218 T(x,y * K(z,K(u,w))) = K(x,y) * x. [hyper(240,a,4809,a(flip),b,15210,a)]. 15219 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(15210(a,1),4750(a,2,2))]. 15221 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(6889(a,1),15209(a,1,2,2))]. 15225 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(240,a,4753,a,b,15212,a)]. 15226 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(15212(a,2),4860(a,1))]. 15227 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(15187,a,15225,a)]. 15228 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(15148,a,15225,a)]. 15229 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(240,a,14598,a,b,15225,a(flip)),flip(a)]. 15231 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5480(a,1),15225(a,1,2))]. 15232 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(7000(a,1),15225(a,1,2))]. 15233 K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(9603(a,1),15225(a,1,2))]. 15234 K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). [para(10159(a,1),15225(a,1,2)),flip(a)]. 15235 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(15173(a,1),15225(a,1,2))]. 15236 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(8318(a,1),15228(a,1,2))]. 15238 T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. [para(15218(a,2),4810(a,1))]. 15239 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(240,a,4750,a,b,15219,a)]. 15240 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(15219(a,2),4833(a,1))]. 15241 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(14933,a,15239,a)]. 15242 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1327(a,1),15239(a,1,1))]. 15243 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(5474(a,1),15239(a,1,1))]. 15244 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(5926(a,1),15239(a,1,1)),flip(a)]. 15245 K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). [para(10045(a,1),15239(a,1,1)),flip(a)]. 15246 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(13909(a,1),15239(a,1,1)),flip(a)]. 15247 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(15033(a,1),15239(a,1,1))]. 15248 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9603(a,1),15241(a,1,1))]. 15249 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(8907(a,1),15227(a,1,2,2)),flip(a)]. 15250 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(8907(a,1),15231(a,1,2,2)),flip(a)]. 15251 K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). [para(6889(a,1),15242(a,1,1,2))]. 15253 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(240,a,14490,a,b,15244,a),flip(a)]. 15254 K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). [para(7872(a,1),15244(a,1,1,2)),flip(a)]. 15255 K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). [para(13680(a,1),15244(a,1,1,2))]. 15256 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5253(a,1),15226(a,1,2))]. 15257 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(5479(a,1),15226(a,1,2))]. 15258 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5480(a,1),15226(a,1,2))]. 15259 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7640(a,1),15226(a,1,2))]. 15260 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(7536(a,1),15226(a,1,2))]. 15261 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(14955(a,1),15226(a,1,2))]. 15262 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(15094(a,1),15226(a,1))]. 15263 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(15173(a,1),15226(a,1,2))]. 15266 T(x,y * (z * K(u,w))) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(10045(a,1),15238(a,1,2))]. 15267 T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. [para(10396(a,1),15238(a,1,2))]. 15268 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. [para(15033(a,1),15238(a,1,2))]. 15269 K(T(x,K(y,z)) * u,w) != v5 | K(x * u,w) = v5. [para(5474(a,1),15240(a,1,1))]. 15270 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(7099(a,1),15240(a,1,1))]. 15271 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(7546(a,1),15240(a,1,1))]. 15272 K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. [para(8318(a,1),15240(a,1,1))]. 15273 K(x * (y * K(z,u)),w) != v5 | K(x * (K(z,u) * y),w) = v5. [para(10045(a,1),15240(a,1,1))]. 15274 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(15033(a,1),15240(a,1,1))]. 15275 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(8318(a,1),15259(a,1,2))]. 15276 K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. [para(9930(a,1),15259(a,1,2))]. 15277 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10045(a,1),15259(a,1,2))]. 15278 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(240,a,14584,a,b,15215,a)]. 15279 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(15215(a,2),14643(a,1))]. 15280 T(x,T(y,z) * ((u \ z) * u)) = T(x,((u \ z) * u) * y). [hyper(10312,a,15216,a),flip(a)]. 15281 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [hyper(10308,a,15216,a),flip(a)]. 15283 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(240,a,14886,a(flip),b,15232,a)]. 15284 K(x,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. [para(15232(a,2),14910(a,1))]. 15285 K(x,y * K(z,u / w)) = K(x,y * K(z,w \ u)). [para(124(a,1),15235(a,1,2,2,2)),flip(a)]. 15286 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(7099(a,1),15236(a,1,2,2))]. 15287 K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). [para(8318(a,1),15236(a,1,2,2))]. 15288 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(15247(a,2),15069(a,1))]. 15289 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). [hyper(14884,a,15278,a)]. 15290 K(x / (K(y,T(z,u)) * w),T(v5,K(z,y) * w)) = K((K(y,T(z,u)) * w) \ x,v5). [para(15278(a,1),7162(a,1,2))]. 15291 T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * y). [hyper(240,a,12903,a,b,15281,a(flip)),flip(a)]. 15293 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(7417(a,1),15286(a,1,2,2))]. 15294 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). [para(15173(a,1),15286(a,1,2,2))]. 15295 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (u * K(z,T(y,v5)))). [para(11310(a,1),15289(a,1,2)),flip(a)]. 15296 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(15289(a,1),14935(a,2,2,1))]. 15297 K(x,y * T(z,y)) = K(x,z * y). [para(3927(a,1),15293(a,1,2)),flip(a)]. 15298 K(x,y * T(z,(u / w) \ 1)) = K(x,y * T(z,u \ w)). [para(8097(a,1),15293(a,1,2,2)),flip(a)]. 15299 K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. [para(38(a,1),15256(a,1,2,2))]. 15300 K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(13680(a,1),15256(a,1,2,2))]. 15301 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(6939(a,1),15257(a,1,2,1))]. 15302 K(x,(K(y,z) * u) / w) != v5 | K(x,(u * K(y,z)) / w) = v5. [para(7056(a,1),15257(a,1,2,1))]. 15303 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(7056(a,1),15258(a,1,2,2))]. 15304 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(9259(a,1),15260(a,1,2,1))]. 15305 T(x,K(y * z,u)) != w | T(x,K(u,z * y)) = w. [para(7560(a,1),15267(a,1))]. 15306 K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. [para(7056(a,1),15269(a,1,1,1))]. 15307 T(x,(y * K(z,u)) \ w) != v5 | T(x,(y \ K(u,z)) * w) = v5. [para(15211(a,1),14152(a,1))]. 15310 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(15250(a,1),12821(a,1))]. 15311 K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. [para(7607(a,1),15263(a,1,2,2))]. 15312 T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. [para(7607(a,1),15268(a,1,2,1))]. 15313 T(x,K(y * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(10329(a,1),15268(a,1,2,1))]. 15314 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(14584(a,1),15268(a,1))]. 15315 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [hyper(15272,a,15245,a(flip)),flip(a)]. 15316 K(x * (y \ T(z,K(u,w))),v5) != v6 | K(x * (y \ z),v5) = v6. [para(1327(a,1),15272(a,1,1,2))]. 15317 K(x * (K(y,K(z,u)) * w),v5) != v6 | K(x * w,v5) = v6. [para(7099(a,1),15272(a,1,1,2))]. 15318 K(x * K(y,z / u),w) != v5 | K(x * K(y,u \ z),w) = v5. [para(8171(a,1),15272(a,1,1,2))]. 15319 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(7000(a,1),15315(a,1,1,2))]. 15320 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(1329(a,1),15275(a,1,2,2))]. 15322 K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. [para(9930(a,1),15275(a,1,2,2))]. 15323 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(15033(a,1),15275(a,1,2,2))]. 15324 T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. [para(14875(a,1),15279(a,1))]. 15325 K(x * (T(y,K(z,u)) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. [para(7536(a,1),15317(a,1,1,2))]. 15328 L(x,y,T(z * K(u,w),u \ z)) != v5 | L(x,y,T(u,w) * (z / u)) = v5. [para(14940(a,1),13020(a,1,3))]. 15329 T(K(x,y) * z,T(z,u)) = (z * (K(x,y) * z)) / z. [para(6988(a,1),14984(a,2,1,2))]. 15331 T(K(x,y) * z,T(z,u)) = z * K(x,y). [hyper(240,a,12837,a(flip),b,15329,a)]. 15334 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(16(a,1),15047(a,1,2,1)),flip(a)]. 15335 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(15050(a,1),7562(a,1,1))]. 15337 K(x,K(y,z) * (u * y)) = K(x,u * ((z \ y) * z)). [hyper(12787,a,15055,a)]. 15338 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(14991,a,15337,a),flip(a)]. 15339 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(240,a,5310,a(flip),b,15058,a)]. 15340 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8239,a,15339,a)]. 15342 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [hyper(240,a,12815,a(flip),b,15070,a(flip)),flip(a)]. 15343 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [hyper(15189,a,15342,a),flip(a)]. 15344 K(x,y * T(T(z * u,w),u)) = K(x,y * T(u * z,w)). [para(4524(a,1),15343(a,1,2,2)),flip(a)]. 15345 K(((x \ y) * x) * z,u) = K((x * (y / x)) * z,u). [para(10166(a,1),15100(a,1,1))]. 15346 T(x,K(y * (x * z),u)) = T(x,K(u,z * y)). [hyper(240,a,15,a(flip),b,15117,a)]. 15347 T(x,K(y,(x * z) * u)) = T(x,K(y,z * u)). [hyper(15305,a,15346,a)]. 15349 (x * y) \ (T(x,K(z,y * u)) * y) = K(u * (x * y),K(x,z)). [para(15347(a,1),10450(a,1,2,1))]. 15350 K((x * (y / x)) * z,T(u,y)) = K(z * ((x \ y) * x),u). [hyper(240,a,15345,a(flip),b,15158,a(flip)),flip(a)]. 15351 K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). [hyper(13089,a,15159,a)]. 15352 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [hyper(14971,a,15351,a),flip(a)]. 15353 K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. [para(15351(a,1),14971(a,1))]. 15354 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,y * z) / u). [para(5043(a,1),15352(a,1,2,1))]. 15356 K(x / (y \ K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(14205,a,15255,a),flip(a)]. 15357 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(240,a,14570,a(flip),b,15356,a(flip))]. 15358 T(x,((y \ z) * y) * u) = T(x,T(z,y) * u). [hyper(240,a,15291,a(flip),b,15280,a(flip))]. 15359 T(x,((y * z) \ u) * (T(y,z) * z)) = T(x,T(u,y * z) * K(y,z)). [para(11085(a,1),15358(a,1,2))]. 15360 K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). [para(15033(a,1),15287(a,1,2,2,2))]. 15361 K(x,y * ((z / u) * K(w,T(u,v5)))) = K(x,y * (z / T(u,w))). [para(7104(a,1),15294(a,2,2,2))]. 15362 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(10133(a,2),15319(a,1,1,2))]. 15363 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [hyper(240,a,14944,a,b,15334,a(flip)),flip(a)]. 15364 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7546(a,2),15334(a,1,1))]. 15365 T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7229(a,2),15363(a,1,1))]. 15366 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(240,a,14834,a,b,14849,a)]. 15367 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(15029,a,15003,a)]. 15368 K(x \ y,y \ (x * (z / x))) != u | K(x \ y,z / T(y,x)) = u. [para(12819(a,2),15086(a,1))]. 15370 K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(15262,a,12924,a)]. 15371 K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. [para(14164(a,1),15276(a,1))]. 15373 K(x,y * T(z * u,K(w,v5))) = K(x,y * T(u * z,z)). [hyper(15299,a,15344,a),flip(a)]. 15374 K(x,y * T(z * u,u)) != w | K(x,y * (u * z)) = w. [para(15373(a,1),15256(a,1))]. 15375 K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. [para(5052(a,1),15320(a,1,2,2))]. 15376 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),15366(a,1,2,2,1)),flip(a)]. 15377 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),15367(a,1,2,1,1))]. 15378 K(x,x * y) * K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(5193,a,14809,a)]. 15379 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),14920(a,1,1,1,1))]. 15381 K(x,K(y,T(z,x) \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(73,a,9561,a(flip),b,15017,a)]. 15382 K((x * (y \ 1)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [hyper(15114,a,15175,a)]. 15383 K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. [para(15204(a,2),13799(a,1))]. 15384 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(240,a,14847,a(flip),b,15205,a(flip))]. 15385 K(x * (y * z),K(y,u)) = K(y,T(K(u,z * x),z)). [hyper(7398,a,15349,a),flip(a)]. 15386 K(x * (y * z),K(y,u)) = K(y,K(u,x * z)). [para(10266(a,1),15385(a,2,2))]. 15387 K(x,K(y,z * (x * u))) = K(x,K(y,z * u)). [hyper(7532,a,15386,a)]. 15388 K(x,K(y,z * (x \ u))) = K(x,K(y,z * u)). [para(14(a,1),15387(a,1,2,2,2)),flip(a)]. 15389 (x * (y * K(x * (z \ y),z))) * K(z,K(x * y,x * y)) = K(x * (z \ y),z) * (x * y). [para(15388(a,1),14275(a,1,2))]. 15390 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). [hyper(240,a,15384,a(flip),b,15354,a)]. 15391 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7193(a,1),15361(a,1,2,2))]. 15392 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(15391(a,1),4977(a,1,1)),flip(a)]. 15393 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(4928(a,2),15364(a,1,1,1))]. 15394 K(x,K(x * y,z * u)) = K(x,K(y,z \ u)). [hyper(7771,a,15378,a)]. 15395 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(7768,a,15394,a),flip(a)]. 15397 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(240,a,15013,a,b,15395,a(flip)),flip(a)]. 15398 K(x \ y,T(z,u)) \ K(z,K(u,x * y)) = K(z,x \ y). [para(15395(a,1),7933(a,1,2))]. 15399 K(x,K(y,z * u)) * K(x,y * (z \ u)) = K(x,(z \ u) * y). [para(15395(a,1),10393(a,1,1))]. 15400 K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). [hyper(240,a,8842,a(flip),b,15397,a)]. 15401 x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(15397(a,1),10401(a,1,2,1))]. 15402 (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). [para(15400(a,1),7454(a,1,2))]. 15403 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). [hyper(7481,a,15402,a)]. 15404 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). [hyper(240,a,7560,a,b,15403,a)]. 15405 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(6939(a,1),15404(a,1,1)),flip(a)]. 15406 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [hyper(240,a,4977,a(flip),b,15392,a)]. 15407 K(x * (y / T(z,T(u,w))),v5) != v6 | K(x * (y / T(z,u)),v5) = v6. [para(15392(a,2),4999(a,1))]. 15408 K(x * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). [hyper(240,a,12762,a(flip),b,15406,a(flip))]. 15409 K(x * ((y * z) / T(u,L(z,y,z) * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). [para(4180(a,1),15408(a,1,1,2,1))]. 15410 K(x,(y \ z) * u) / (x \ K(x,u * (y \ z))) = T(x,K(u,y * z)). [hyper(75,a,15399,a(flip),b,4780,a)]. 15412 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(7653(a,1),15071(a,2,2,1,1))]. 15414 K(x,y * (K(z,u) * (w \ 1))) = K(x,y * (w \ K(z,u))). [hyper(15300,a,xx),flip(a)]. 15415 K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,x)). [hyper(15368,a,14729,a)]. 15416 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ T(y * z,y)). [hyper(240,a,15176,a,b,15415,a(flip)),flip(a)]. 15417 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ (z * y)). [hyper(240,a,12812,a(flip),b,15416,a)]. 15418 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). [para(15417(a,1),12755(a,2,2))]. 15419 K(x,y * (z * (u * K(z,w)))) = K(x,y * (T(z,w) * u)). [hyper(15375,a,xx),flip(a)]. 15420 K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. [para(7507(a,1),15383(a,1,2))]. 15423 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(15260,a,14820,a)]. 15424 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8057,a,15423,a)]. 15425 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(15257,a,15424,a),flip(a)]. 15426 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(240,a,7610,a(flip),b,15425,a)]. 15427 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(15425(a,2),7715(a,1))]. 15428 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(14993,a,15426,a)]. 15429 K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). [hyper(10338,a,15426,a),flip(a)]. 15434 T(x,T(y,K(z,u) * w)) = x * K(x,T(y,w)). [para(15426(a,1),4800(a,2,2))]. 15437 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(15426(a,1),6989(a,1,2))]. 15438 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(9552(a,1),15426(a,1,2,2))]. 15443 K(x,T(y,(z * u) * K(w,v5))) = K(x,T(y,u * z)). [hyper(240,a,14932,a,b,15428,a)]. 15445 K(x,T(L(y,z,u),w * K(v5,v6))) = K(x,L(T(y,w),z,u)). [para(40(a,2),15428(a,2,2))]. 15447 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5953(a,1),15428(a,1,2,2))]. 15449 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(15428(a,1),7611(a,1,1))]. 15450 K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. [para(15428(a,1),7778(a,1))]. 15452 T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). [para(15428(a,1),9898(a,1,1,2))]. 15454 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(15428(a,1),14473(a,1))]. 15455 K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. [para(15428(a,1),15108(a,1))]. 15456 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(240,a,4800,a,b,15434,a)]. 15457 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [hyper(15001,a,15456,a)]. 15458 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) \ w)). [para(8876(a,1),15457(a,1,2,2))]. 15459 K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. [para(5078(a,1),15427(a,1,2,2))]. 15460 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [hyper(240,a,7465,a,b,15438,a)]. 15461 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,u * z)). [para(6661(a,1),15443(a,1,2,2))]. 15462 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7825,a,15447,a)]. 15464 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(9899,a,15452,a),flip(a)]. 15465 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(15267,a,15464,a)]. 15466 T(x,K(y,z * (u / w))) = T(x,K(y,z * (w \ u))). [para(6231(a,1),15464(a,1,2,2)),flip(a)]. 15468 T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). [para(14184(a,1),15464(a,1,2,2))]. 15469 T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). [hyper(7578,a,15465,a)]. 15470 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(15465(a,1),11459(a,2,2))]. 15471 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(15465(a,1),14572(a,1,2,1,2))]. 15472 (x * T(y,K(x,z))) \ (T(x,K(u,w) * z) * y) = K(x,K(w,u) * z). [para(15465(a,1),14596(a,1,1,2))]. 15473 T(x,K(y,T(z,u) * w)) = T(x,K(z * w,y)). [para(4783(a,1),15469(a,1,2,1)),flip(a)]. 15474 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(15473(a,1),14576(a,1,2,1,2))]. 15475 K(x / (y * (z * K(u,w))),T(v5,z * y)) = K((y * (z * K(u,w))) \ x,v5). [hyper(7783,a,15461,a),flip(a)]. 15476 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). [hyper(15459,a,14609,a)]. 15477 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [para(40(a,2),15445(a,1,2))]. 15479 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3454(a,1),15449(a,1,1))]. 15480 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [para(4813(a,1),15477(a,1,2,1,2))]. 15481 K(x,L(T(y,z * (u * K(w,v5))),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). [para(6661(a,1),15477(a,1,2,1,2))]. 15482 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [para(6988(a,1),15477(a,1,2,1,2))]. 15483 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) * w)). [hyper(14815,a,15458,a(flip)),flip(a)]. 15484 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(7826,a,15460,a)]. 15485 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(15154,a,15484,a)]. 15486 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(1127(a,2),15484(a,1,2,2,2))]. 15487 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(4774(a,1),15484(a,1,2,2,2))]. 15488 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(4981(a,1),15484(a,1,2,2)),flip(a)]. 15489 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4779(a,1),15484(a,1,2,2))]. 15490 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(4783(a,1),15484(a,1,2,2,2)),flip(a)]. 15491 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(4832(a,1),15484(a,1,2,2,2))]. 15492 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(5178(a,1),15484(a,1,2,2)),flip(a)]. 15493 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5371(a,2),15484(a,1,2,2))]. 15494 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(5380(a,1),15484(a,1,2,2))]. 15499 K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). [hyper(240,a,15395,a,b,15488,a(flip)),flip(a)]. 15500 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). [para(1327(a,1),15488(a,1,2,2))]. 15502 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6066(a,2),15488(a,1,2,2))]. 15503 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5953(a,1),15488(a,1,2,2))]. 15504 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6068(a,2),15488(a,1,2,2))]. 15505 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [para(7140(a,1),15488(a,1,2,2))]. 15506 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(7399(a,1),15488(a,1,2,2))]. 15507 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9298(a,1),15488(a,1,2,2)),flip(a)]. 15508 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(9930(a,1),15488(a,1,2,2))]. 15509 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(14184(a,1),15488(a,1,2,2))]. 15510 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(240,a,7491,a(flip),b,15492,a)]. 15511 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(240,a,15397,a,b,15492,a(flip)),flip(a)]. 15513 K(x,K(y,z)) * K(y,(K(u,w) * z) \ x) = K(y,x / (K(u,w) * z)). [para(15492(a,1),7941(a,1,1))]. 15514 K(x,K(y,z)) * K(x,(z \ K(u,w)) * y) = K(x,y * (z \ K(u,w))). [para(15499(a,1),10395(a,1,1))]. 15516 (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(15505(a,1),15178(a,1,1)),flip(a)]. 15518 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w)) = v5. [para(15510(a,2),7532(a,1))]. 15519 K(x,K(y,z)) * (x * K(u,w)) = T(x * K(u,w),K(y,z)). [para(15510(a,1),15024(a,1,1))]. 15520 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(240,a,7507,a,b,15511,a)]. 15522 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8459,a,15520,a)]. 15523 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8081,a,15520,a),flip(a)]. 15524 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7545,a,15520,a)]. 15525 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(15520(a,1),8081(a,1))]. 15526 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(15102,a,15523,a)]. 15528 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1326(a,1),15523(a,1,2,1))]. 15531 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(240,a,15523,a,b,15524,a)]. 15532 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8326,a,15526,a)]. 15535 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(15486(a,1),7941(a,1,1))]. 15536 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(15486(a,2),15083(a,1))]. 15537 K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) = K(x,K(y,R(T(w,z * u),z,u) * v5)). [para(966(a,1),15489(a,1,2,2,1)),flip(a)]. 15538 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). [para(15489(a,1),10393(a,1,1))]. 15539 K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). [para(15500(a,1),8147(a,1,1))]. 15540 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(240,a,15377,a(flip),b,15528,a(flip))]. 15541 K(x,K(y,T(z,u) \ w)) != v5 | K(x,K(y,z \ w)) = v5. [para(5078(a,1),15518(a,1,2,2))]. 15543 K(x,K(y,R(T(z,u),w,v5) * v6)) != v7 | K(x,K(y,R(z,w,v5) * v6)) = v7. [para(5102(a,1),15518(a,1,2,2))]. 15544 K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. [para(8132(a,1),15518(a,1,2,2))]. 15545 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(10159(a,1),15518(a,1,2,2))]. 15546 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(10052(a,1),15518(a,1,2,2))]. 15547 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). [para(15491(a,1),7941(a,1,1))]. 15548 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). [para(15494(a,1),10393(a,1,1))]. 15551 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(15503(a,2),8316(a,1,1))]. 15553 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1326(a,1),15507(a,1,2,2,1))]. 15555 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6233(a,1),15507(a,1,2,2,1))]. 15556 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(15507(a,2),15083(a,1))]. 15557 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8079,a,15508,a)]. 15558 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(240,a,8616,a(flip),b,15531,a(flip))]. 15560 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,7969,a,b,15557,a)]. 15561 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(15557(a,1),8079(a,1))]. 15562 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(15557(a,2),8079(a,1))]. 15563 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,15376,a(flip),b,15560,a)]. 15564 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(971(a,1),15560(a,1,2,2)),flip(a)]. 15565 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(15560(a,1),8079(a,1))]. 15566 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(240,a,15018,a(flip),b,15485,a)]. 15567 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8079,a,15566,a)]. 15569 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5253(a,1),15566(a,1,2,2,1))]. 15570 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6355(a,1),15567(a,1,2,2,2))]. 15571 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7641(a,1),15567(a,1,2,2,2)),flip(a)]. 15573 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(15571(a,1),15173(a,1,1))]. 15574 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(240,a,14837,a,b,15490,a)]. 15576 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(5240,a,15519,a),flip(a)]. 15577 T(x,K(y,z)) \ T(x * K(u,w),K(y,z)) = K(u,w). [hyper(73,a,15519,a(flip),b,4815,a(flip))]. 15578 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(5890,a,15576,a),flip(a)]. 15580 T(x,K(y,z)) * K(u,w) != v5 | T(x * K(u,w),K(y,z)) = v5. [para(15577(a,1),224(a,1,2)),flip(b)]. 15585 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(240,a,8317,a,b,15522,a)]. 15587 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(197(a,1),15553(a,1,2,2,1,1)),flip(a)]. 15588 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(240,a,15557,a(flip),b,15569,a(flip)),flip(a)]. 15589 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(124(a,1),15588(a,1,2,2,2,1)),flip(a)]. 15591 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(240,a,14069,a(flip),b,15540,a(flip)),flip(a)]. 15592 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(7576(a,1),15540(a,1,2,1))]. 15593 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(1327(a,1),15556(a,1,2,2,1))]. 15594 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(7104(a,1),15556(a,1,2,2,1))]. 15595 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(14837(a,1),15556(a,1))]. 15596 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8269(a,1),15595(a,1,2,2,2))]. 15599 ((1 / x) * K(y,z)) * K(u,x) != w | K(u,x) / (K(z,y) * x) = w. [para(15479(a,1),14197(a,1))]. 15600 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(802(a,1),15555(a,1,2,2,1,1)),flip(a)]. 15601 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(240,a,7969,a,b,15570,a)]. 15602 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(15083,a,15587,a)]. 15603 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(15561,a,15601,a)]. 15604 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(62(a,1),15602(a,1,2,2,2,1,2)),flip(a)]. 15605 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(15602(a,1),15083(a,1))]. 15607 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(15603(a,2),15561(a,1))]. 15609 K(x,((y \ z) * y) * u) = K(x,K(z,u)) * K(x,u * T(z,y)). [para(15338(a,1),15032(a,1,2)),flip(a)]. 15610 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(240,a,14839,a(flip),b,15609,a)]. 15611 K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. [para(15609(a,2),15203(a,1))]. 15612 T(x,K(y,z)) * K(K(y,z) * x,u) = K(z,y) * T(x * K(y,z),u). [para(7560(a,1),15067(a,1,1))]. 15613 K(x,(T(y,z / u) * u) \ z) = K(x,T((y * u) \ z,u \ z)). [hyper(10955,a,15074,a),flip(a)]. 15614 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(8178,a,15613,a)]. 15615 T(x,y) * K(z,T(z \ x,y)) = ((x / z) \ T(x,y)) * (x / z). [para(15063(a,1),15174(a,1,2))]. 15616 ((x / y) \ T(x,z)) * (x / y) = y * (T(x,z) / y). [hyper(10626,a,15615,a),flip(a)]. 15617 (x * K(y,z)) * (y / x) = x * (T(y,z) / x). [para(14089(a,1),15616(a,1,1))]. 15618 (x * K(y,z)) \ (x * (T(y,z) / x)) = y / x. [hyper(81,a,15617,a)]. 15619 L(x / y,K(x,z),y) = x / y. [hyper(13516,a,15618,a)]. 15620 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(14985,a,15253,a),flip(a)]. 15622 K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). [para(14529(a,1),15360(a,1,2,2))]. 15623 T(x,K(y \ z,u)) = T(x,K(u,y * z)). [hyper(240,a,10399,a(flip),b,15410,a(flip)),flip(a)]. 15624 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(7578,a,15623,a)]. 15625 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(240,a,15214,a,b,15624,a(flip)),flip(a)]. 15626 T(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. [para(15624(a,1),10294(a,1,1))]. 15627 T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. [para(15624(a,2),15267(a,1))]. 15628 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). [para(15625(a,1),10321(a,1,1))]. 15630 (x \ T(y,x)) * (z / (x \ T(y,x))) != u | (y / x) * (z / (y / x)) = u. [para(15418(a,2),14537(a,1))]. 15632 K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). [para(7399(a,1),15481(a,1,2,1,2,2))]. 15633 K(x,L(T(y,z * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [para(9199(a,1),15481(a,1,2,1,2,2))]. 15635 K(x / (y * (1 / z)),u) != w | K(x / (y * (z \ 1)),u) = w. [para(15382(a,1),15131(a,1))]. 15637 T(x,K(y,z) * T(u,z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(15202,a,xx)]. 15638 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4869(a,1),15607(a,1,2,2,2,2))]. 15640 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,(y * u) \ z)). [para(14823(a,1),15126(a,2,2))]. 15641 K(x,K(y,z \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [para(15506(a,1),15381(a,1,1))]. 15642 K(x,K(y,z \ u)) * K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(7540,a,15641,a)]. 15644 K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. [para(15642(a,1),15006(a,1))]. 15645 K(x / (y * (z * K(u,w))),T(v5,y * z)) = K((y * (z * K(u,w))) \ x,v5). [hyper(14993,a,15475,a)]. 15646 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,u))). [hyper(240,a,15043,a(flip),b,15535,a(flip)),flip(a)]. 15648 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(240,a,15585,a(flip),b,15558,a)]. 15650 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(240,a,8393,a(flip),b,15648,a)]. 15651 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(15525,a,15650,a)]. 15653 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(15184,a,15573,a),flip(a)]. 15654 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [para(15(a,1),15653(a,1,2,2)),flip(a)]. 15655 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(7104(a,1),15653(a,1,2,2,1))]. 15656 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(15654(a,1),7611(a,1,1))]. 15657 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8091,a,15655,a)]. 15658 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(14172,a,15656,a)]. 15659 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(240,a,14176,a,b,15658,a(flip)),flip(a)]. 15660 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(240,a,8265,a(flip),b,15657,a)]. 15661 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(124(a,1),15657(a,1,2,2,2,2)),flip(a)]. 15662 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15657(a,1),4946(a,1,1)),flip(a)]. 15663 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(15599,a,15659,a)]. 15664 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(15663(a,2),10842(a,2,2))]. 15665 K(x,(y * T(z,u \ 1)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(2920(a,1),15646(a,1,1,2,1,2))]. 15667 T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7451(a,1),15365(a,1,1,1,2))]. 15668 T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(15034(a,2),15667(a,1,1,1))]. 15669 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(345(a,1),15668(a,1,1))]. 15671 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u,y)). [hyper(240,a,15523,a(flip),b,14843,a)]. 15673 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) != w | K(y,K(z,u)) = w. [para(15671(a,2),7511(a,1))]. 15674 K(K(x,y) * z,T(z,u)) = K(x,K(y,z)). [hyper(15673,a,12845,a),flip(a)]. 15675 K(x,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(7540,a,14851,a)]. 15677 x * K(y * K(z,u),K(u,z) * (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(5183(a,1),15068(a,1,2,2))]. 15678 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(15465(a,1),15471(a,1,2)),flip(a)]. 15679 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(240,a,14572,a(flip),b,15678,a)]. 15680 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(15678(a,2),14580(a,1))]. 15682 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(15313,a,15679,a)]. 15683 T(x,K(y,K(z,u) * w) * v5) = T(x,K(w,y) * v5). [hyper(14643,a,15679,a)]. 15685 K(K(x * K(y,z),u) * w,v5) = (v5 * v6) / (T(v5,K(x,u) * w) * v6). [para(15682(a,1),5070(a,1,2,1)),flip(a)]. 15686 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),w) * v5). [para(6231(a,1),15682(a,1,2,1,1)),flip(a)]. 15687 T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. [para(15683(a,2),15313(a,1))]. 15688 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(240,a,5070,a(flip),b,15685,a)]. 15689 K(K(x,y * K(z,u)) * w,v5) = K(K(y,x) * w,v5). [hyper(15151,a,15688,a)]. 15690 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [para(6988(a,1),15688(a,1,1,1,1))]. 15691 K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). [hyper(240,a,14915,a(flip),b,15689,a)]. 15692 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(15069,a,15690,a)]. 15693 K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). [hyper(8088,a,15691,a),flip(a)]. 15694 K(x * K(y * T(z,u),w),v5) = K(K(w,y * z) * x,v5). [para(7103(a,1),15691(a,1,1,1,2)),flip(a)]. 15695 K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5). [hyper(240,a,15065,a(flip),b,15692,a)]. 15696 K(x * K(y,T(z,u)),w) = K(K(z,y) * x,w). [para(1127(a,2),15692(a,1,1,2,2))]. 15697 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(15695(a,2),15168(a,1))]. 15698 K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). [para(14905(a,1),15693(a,1,1))]. 15699 K(T(x,y) * K(z,u),w) != v5 | K(K(u,z) * x,T(w,y)) = v5. [para(15698(a,2),15168(a,1))]. 15700 K(x * K(y,T(z,u)),w) != v5 | K(K(z,y) * x,w) = v5. [para(1127(a,2),15697(a,1,1,2,2))]. 15701 K((x * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. [para(14688(a,2),15699(a,1))]. 15702 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(240,a,15520,a(flip),b,15014,a)]. 15703 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(15029,a,15702,a)]. 15705 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(240,a,14454,a(flip),b,15703,a(flip))]. 15706 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7545,a,15705,a)]. 15707 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(240,a,15031,a(flip),b,15706,a(flip))]. 15708 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(65(a,1),15707(a,1,2,2,1,2))]. 15709 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(240,a,11920,a(flip),b,15708,a(flip))]. 15710 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(240,a,15504,a(flip),b,15709,a(flip))]. 15711 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7489,a,15710,a)]. 15712 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(240,a,7487,a,b,15711,a)]. 15713 ((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(14287(a,2),15180(a,1))]. 15714 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(15682(a,1),15296(a,2,2,1))]. 15715 K(x,K(y,((z * u) \ ((z * w) * u)) * v5)) != v6 | K(x,K(y,R(w,z,u) * v5)) = v6. [para(15537(a,2),15543(a,1))]. 15716 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6008(a,1),15072(a,1,2,2))]. 15717 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7872(a,1),15179(a,1,2,2))]. 15718 K(x * (y \ T(L(z,u,z) * u,z)),w) = K(x * ((u * z) / T(y,z * u)),w). [para(12891(a,1),15409(a,1,1,2,2)),flip(a)]. 15719 K(x * ((y * z) / T(u,z * y)),w) = K(x * (u \ (y * z)),w). [para(4180(a,1),15718(a,1,1,2,2)),flip(a)]. 15721 K(x * ((K(y,z) * u) / T(w,((z * y) \ u) * (y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(10164(a,1),15719(a,1,1,2,1))]. 15722 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(7560(a,1),15470(a,2,2))]. 15725 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(7872(a,1),15516(a,1,2,2)),flip(a)]. 15726 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6287(a,1),15716(a,1,2)),flip(a)]. 15727 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(240,a,13,a(flip),b,15726,a)]. 15728 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5495,a,15727,a),flip(a)]. 15730 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(15727(a,1),5495(a,1))]. 15731 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(13374(a,1),15728(a,1,1,1,2,1,2))]. 15732 T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). [para(6939(a,1),15722(a,1,1,1))]. 15733 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). [hyper(240,a,15469,a(flip),b,15732,a(flip))]. 15735 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). [hyper(240,a,7560,a,b,15733,a)]. 15736 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(15735(a,1),8042(a,1,2,2))]. 15737 T(x,T(y \ T(z \ u,z),(u / z) * y)) = T(x,(K(z,z \ u) * y) \ (z \ u)). [para(13522(a,1),14818(a,1,2,1))]. 15738 (x * (y * K(x * (z \ y),z))) * K(z,1) = K(x * (z \ y),z) * (x * y). [para(132(a,1),15389(a,1,2,2))]. 15740 (x * (y * K(x * (z \ y),z))) * 1 = K(x * (z \ y),z) * (x * y). [para(152(a,1),15738(a,1,2))]. 15741 K(x * (y \ z),y) * (x * z) = x * (z * K(x * (y \ z),y)). [hyper(86,a,15740,a),flip(a)]. 15743 (x * (y * z)) / (y * (z * K(y * (x \ z),x))) != u | T(x,y * (x \ z)) = u. [para(15741(a,1),5162(a,1,2))]. 15744 x * (K(y,K(z,y \ u)) * K(z \ y,z * (u / y))) = x * K(z \ y,(u / y) * z). [para(7514(a,1),15401(a,1,2,1))]. 15745 x * (K(y,K(z,u)) * K(u \ y,u * (z / y))) = x * K(u \ y,(z / y) * u). [para(7586(a,1),15744(a,1,2,1))]. 15746 T(x,K(y,z)) * K(z \ y,z * (x / y)) = x * K(z \ y,(x / y) * z). [hyper(7497,a,15745,a)]. 15747 T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). [hyper(15580,a,15746,a)]. 15748 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(240,a,13643,a,b,15564,a)]. 15749 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(14854(a,1),15748(a,2,3))]. 15750 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(15544,a,15749,a)]. 15752 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),15600(a,1,2,2,1,1)),flip(a)]. 15753 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(15155,a,15752,a)]. 15755 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),15753(a,1,2,2,2))]. 15756 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(240,a,15185,a,b,15714,a)]. 15757 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(240,a,13575,a(flip),b,15756,a)]. 15758 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(121(a,1),15757(a,1,1,2,2,2))]. 15759 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(14476,a,15758,a)]. 15760 K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). [hyper(14931,a,15759,a)]. 15761 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). [para(6988(a,1),15760(a,1,2,1,2))]. 15762 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(15761(a,2),14931(a,1))]. 15763 K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). [hyper(15762,a,15051,a),flip(a)]. 15764 K(x,K(K(y,z) * u,w) * v5) != v6 | K(x,K(u,w) * v5) = v6. [para(14593(a,1),15762(a,1))]. 15766 K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(7611(a,1),15764(a,1,2,1,1))]. 15768 (x * (y / x)) \ ((x * (y / x)) * K(z * (x * (y / x)),u)) = K((x * (y / x)) * z,T(u,y)). [para(10187(a,1),14981(a,1,2))]. 15769 K((x * (y / x)) * z,T(u,y)) != w | K(z * (x * (y / x)),u) = w. [para(15768(a,1),241(a,1)),flip(b)]. 15770 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [hyper(15769,a,15350,a),flip(a)]. 15772 K(x * (y * ((y * z) / y)),u) = K(x * (z * y),u). [para(13(a,1),15770(a,1,1,2,1)),flip(a)]. 15775 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [para(177(a,1),15772(a,1,1,2,2)),flip(a)]. 15776 T(x,y * (T(z,u) * u)) = (x * w) / (K(y * (u * z),x) * w). [para(15775(a,1),5083(a,1,2,1)),flip(a)]. 15777 T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. [para(15776(a,2),5162(a,1))]. 15779 T(x,T(y,z * u) * K(z,u)) != w | T(x,((z * u) \ y) * (u * z)) = w. [para(15359(a,1),15777(a,1))]. 15780 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(240,a,4800,a,b,15122,a)]. 15781 T(T(x,y) * T(z,T(x,y)),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [para(4815(a,1),15780(a,1,1))]. 15782 T(x * T(y,z),T(u,y * T(x,T(y,z)))) = T(x * T(y,z),u). [para(122(a,1),15781(a,1,1))]. 15783 T(x * T(y,z),T(u,y * T(x,y))) = T(x * T(y,z),u). [para(15221(a,1),15782(a,1,2))]. 15784 T(x * T(y,z),T(u,x * y)) = T(x * T(y,z),u). [para(122(a,1),15783(a,1,2,2))]. 15786 T(x * T(y,z),T(u,x * y)) != w | T(x * T(y,z),u) = w. [para(15784(a,1),9142(a,1))]. 15787 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(15469(a,1),15405(a,2,2))]. 15788 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(7560(a,1),15787(a,2,2))]. 15790 T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). [para(6939(a,1),15788(a,1,1,1))]. 15791 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). [hyper(240,a,15469,a(flip),b,15790,a(flip))]. 15793 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). [hyper(240,a,7560,a,b,15791,a)]. 15794 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(14743(a,1),15614(a,1,1))]. 15795 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(8390(a,1),15664(a,1,1))]. 15796 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(15793(a,1),15736(a,1,2,1))]. 15797 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(14986,a,15796,a)]. 15799 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13395(a,1),15731(a,1,1,1))]. 15800 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(15730,a,15799,a),flip(a)]. 15801 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(240,a,15447,a,b,15800,a)]. 15802 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(240,a,15661,a,b,15801,a(flip)),flip(a)]. 15803 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(15153,a,15802,a),flip(a)]. 15804 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15803(a,1),15662(a,2,1))]. 15805 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(240,a,4946,a(flip),b,15804,a)]. 15806 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(15805(a,1),2447(a,1,1))]. 15807 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(240,a,10499,a(flip),b,15806,a(flip))]. 15809 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(15807(a,1),13431(a,1,1,1)),flip(a)]. 15810 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(240,a,13431,a(flip),b,15809,a)]. 15811 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(240,a,7142,a(flip),b,15810,a)]. 15812 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7302,a,15811,a)]. 15813 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(240,a,15657,a(flip),b,15812,a(flip)),flip(a)]. 15814 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(240,a,15660,a(flip),b,15813,a(flip))]. 15815 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(240,a,8265,a(flip),b,15814,a(flip)),flip(a)]. 15816 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(121(a,1),15815(a,1,2,2,1,1)),flip(a)]. 15819 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(240,a,15447,a(flip),b,15816,a(flip)),flip(a)]. 15820 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(240,a,7465,a,b,15819,a),flip(a)]. 15821 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,15462,a,b,15820,a),flip(a)]. 15822 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8079,a,15821,a)]. 15823 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(240,a,15504,a(flip),b,15821,a(flip))]. 15824 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(240,a,15502,a(flip),b,15821,a(flip))]. 15825 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15821(a,1),15551(a,1,1))]. 15826 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(15083,a,15824,a)]. 15827 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),15826(a,1,2,2,2,2)),flip(a)]. 15828 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8463,a,15825,a),flip(a)]. 15829 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(240,a,15591,a(flip),b,15828,a(flip))]. 15830 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(65(a,1),15828(a,1,2,1,2)),flip(a)]. 15831 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(15102,a,15830,a)]. 15832 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),15829(a,2,2,2,2))]. 15833 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(240,a,15560,a,b,15832,a)]. 15834 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(15832(a,2),15562(a,1))]. 15835 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(240,a,15831,a(flip),b,15833,a(flip)),flip(a)]. 15836 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13707(a,1),15833(a,1,2))]. 15837 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(15833(a,2),15562(a,1))]. 15839 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(240,a,15836,a(flip),b,15835,a(flip))]. 15840 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3754(a,2),15835(a,2,2,2,1))]. 15841 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13708(a,1),15840(a,1,2))]. 15842 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(15834,a,15841,a),flip(a)]. 15843 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,15822,a(flip),b,15842,a(flip)),flip(a)]. 15844 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(15594,a,15843,a)]. 15845 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(240,a,15604,a,b,15844,a(flip)),flip(a)]. 15847 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(240,a,15602,a(flip),b,15844,a(flip))]. 15848 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(15605,a,15845,a)]. 15849 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(15565,a,15847,a)]. 15850 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(240,a,15839,a,b,15847,a(flip)),flip(a)]. 15851 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(240,a,15088,a(flip),b,15847,a(flip))]. 15852 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(240,a,14531,a,b,15849,a(flip)),flip(a)]. 15853 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(11214(a,1),15849(a,1,2))]. 15854 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(14267(a,1),15849(a,1,2,2,2,1)),flip(a)]. 15855 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(15565,a,15850,a)]. 15856 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(240,a,14070,a(flip),b,15852,a(flip)),flip(a)]. 15857 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(15340(a,1),15853(a,1,2)),flip(a)]. 15858 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(240,a,15855,a(flip),b,15854,a)]. 15860 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(240,a,15848,a(flip),b,15858,a(flip)),flip(a)]. 15861 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(15562,a,15860,a)]. 15863 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(240,a,15589,a(flip),b,15860,a(flip)),flip(a)]. 15864 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8079,a,15863,a)]. 15865 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(122(a,1),15863(a,1,2,2,2)),flip(a)]. 15866 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(240,a,15750,a(flip),b,15864,a(flip))]. 15867 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(15025,a,15866,a)]. 15869 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(240,a,13952,a,b,15866,a)]. 15870 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(15866(a,1),7489(a,1))]. 15871 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),15867(a,1,2,2,2,2))]. 15872 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(15594,a,15865,a),flip(a)]. 15873 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(15638,a,15872,a)]. 15875 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(240,a,15030,a(flip),b,15873,a(flip))]. 15876 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),15869(a,2,2))]. 15877 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(240,a,7967,a(flip),b,15857,a)]. 15878 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(240,a,15826,a(flip),b,15877,a(flip))]. 15880 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(240,a,15822,a(flip),b,15878,a)]. 15881 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(15546,a,15880,a)]. 15882 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(202(a,1),15880(a,1,2,2,2))]. 15883 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(240,a,15493,a(flip),b,15882,a)]. 15885 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(240,a,15755,a(flip),b,15883,a(flip))]. 15887 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(118(a,1),15885(a,1,2,2)),flip(a)]. 15888 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(15545,a,15887,a)]. 15889 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(15536,a,15888,a),flip(a)]. 15890 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(15197,a,15888,a)]. 15891 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(15536,a,15889,a),flip(a)]. 15892 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(15596,a,15891,a),flip(a)]. 15893 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(15546,a,15891,a)]. 15894 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(240,a,15851,a(flip),b,15891,a(flip))]. 15895 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(240,a,15881,a(flip),b,15894,a(flip)),flip(a)]. 15896 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(240,a,15574,a(flip),b,15892,a)]. 15897 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(240,a,11916,a(flip),b,15890,a)]. 15898 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(240,a,15861,a(flip),b,15897,a)]. 15899 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8079,a,15898,a)]. 15900 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13477(a,1),15899(a,1,2)),flip(a)]. 15901 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5928(a,1),15896(a,1,2,2,2))]. 15902 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(15595,a,15901,a)]. 15904 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(240,a,15902,a(flip),b,15895,a(flip)),flip(a)]. 15905 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,15875,a(flip),b,15904,a(flip))]. 15906 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(240,a,14046,a(flip),b,15905,a(flip)),flip(a)]. 15907 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(240,a,13645,a,b,15900,a)]. 15908 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(15101,a,15592,a),flip(a)]. 15910 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(14446(a,1),15908(a,2,2))]. 15911 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(240,a,15651,a(flip),b,15910,a)]. 15912 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(15607,a,15911,a)]. 15915 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(240,a,15563,a(flip),b,15912,a(flip)),flip(a)]. 15916 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(240,a,15532,a(flip),b,15915,a(flip))]. 15917 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11361,a,15916,a)]. 15919 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14129(a,1),15916(a,1,2,2,2))]. 15920 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(240,a,13868,a,b,15917,a)]. 15921 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(240,a,15906,a(flip),b,15919,a)]. 15922 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(15921(a,1),15795(a,1,1)),flip(a)]. 15923 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13869,a,15920,a)]. 15924 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4818(a,1),15923(a,1,2))]. 15925 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4832(a,1),15923(a,1,2))]. 15926 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(240,a,11922,a(flip),b,15924,a(flip))]. 15927 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7491(a,2),15926(a,2,3))]. 15928 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11920(a,1),15927(a,2,3))]. 15929 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),15928(a,1,3,2,2))]. 15930 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7491(a,1),15929(a,1,3))]. 15931 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),15930(a,2,3,2,2))]. 15932 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7491(a,1),15931(a,2,3))]. 15933 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(65(a,1),15932(a,1,2,2))]. 15934 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7491(a,2),15933(a,1,3))]. 15935 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7491(a,2),15934(a,2,3))]. 15936 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(240,a,13862,a,b,15935,a(flip)),flip(a)]. 15937 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7507(a,1),15936(a,2,3))]. 15938 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(7506(a,1),15922(a,2,2))]. 15940 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(240,a,12206,a(flip),b,15938,a)]. 15941 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10842(a,1),15940(a,2,1))]. 15942 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(240,a,14018,a(flip),b,15941,a)]. 15943 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(15663(a,1),15942(a,1,2))]. 15944 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7506(a,1),15943(a,1,3))]. 15945 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11359,a,15944,a)]. 15946 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(132(a,1),15945(a,1,2,1))]. 15947 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(240,a,15907,a,b,15946,a(flip)),flip(a)]. 15948 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(240,a,15937,a(flip),b,15946,a(flip)),flip(a)]. 15949 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(240,a,13871,a,b,15948,a)]. 15950 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7491(a,1),15947(a,2,3))]. 15951 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(5451(a,1),15950(a,1,2,2,2,1))]. 15952 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(6559(a,1),15951(a,1,2))]. 15953 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(13740(a,1),15952(a,1,2))]. 15954 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(6006(a,1),15953(a,1,2,2,1))]. 15955 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(240,a,15893,a(flip),b,15954,a(flip)),flip(a)]. 15956 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(15556,a,15955,a)]. 15958 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(7130(a,1),15956(a,2,3,2))]. 15959 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(15488(a,1),15958(a,2,3))]. 15960 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(240,a,15871,a(flip),b,15959,a(flip)),flip(a)]. 15962 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(62(a,1),15960(a,1,3,2,1))]. 15963 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15827(a,1),15962(a,1,3))]. 15964 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7487(a,1),15963(a,1,3))]. 15965 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15712(a,1),15964(a,1,3))]. 15966 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(13922,a,15965,a),flip(a)]. 15967 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7507(a,1),15966(a,1,3))]. 15968 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(240,a,15925,a,b,15967,a(flip)),flip(a)]. 15969 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(240,a,15949,a(flip),b,15968,a(flip))]. 15970 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7487(a,1),15969(a,2,3))]. 15971 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(15870,a,15970,a)]. 15972 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7491(a,2),15971(a,2,3))]. 15973 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(240,a,15876,a(flip),b,15972,a(flip)),flip(a)]. 15974 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(7969(a,1),15973(a,1,3))]. 15975 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7507(a,1),15974(a,2,3))]. 15976 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(240,a,15970,a(flip),b,15975,a(flip))]. 15977 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15976(a,1),13856(a,1,1))]. 15978 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7487(a,1),15977(a,1,2))]. 15979 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14041,a,15978,a),flip(a)]. 15980 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8461,a,15979,a)]. 15981 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(240,a,15856,a(flip),b,15980,a)]. 15982 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(673(a,1),15980(a,1,2,2)),flip(a)]. 15983 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6318(a,1),15980(a,1,2)),flip(a)]. 15984 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(15837,a,15981,a)]. 15986 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(15983(a,2),7973(a,1))]. 15987 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(240,a,14834,a,b,15982,a)]. 15988 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(240,a,15984,a(flip),b,15987,a)]. 15989 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(240,a,15823,a(flip),b,15988,a)]. 15992 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(7675(a,1),15989(a,2,2))]. 15993 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,14826,a(flip),b,15992,a)]. 15996 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(240,a,14070,a(flip),b,15993,a(flip)),flip(a)]. 15997 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(15986,a,15996,a),flip(a)]. 16001 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6663(a,1),15997(a,1,2)),flip(a)]. 16003 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(240,a,7967,a(flip),b,16001,a)]. 16004 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(240,a,7955,a(flip),b,16001,a)]. 16006 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(16001(a,2),7979(a,1))]. 16008 K(x,K(L(y,z,u),w)) = K(x,K(y,w)). [hyper(8324,a,16003,a)]. 16016 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(16003(a,1),8318(a,1,2))]. 16018 K(x,K(y,(z / u) / w)) = K(x,K(y,z / (w * u))). [para(14449(a,1),16003(a,1,2)),flip(a)]. 16019 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(16003(a,1),15038(a,1,1))]. 16023 K(x,K(y,z)) * K(x,z * L(y,u,w)) = K(x,L(y,u,w) * z). [para(16004(a,1),10393(a,1,1))]. 16024 K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). [para(11318(a,1),16004(a,1,2))]. 16025 K(x,K(y \ (z * u),w)) = K(x,K(w,(z \ y) \ u)). [para(11320(a,1),16004(a,1,2))]. 16028 K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). [para(16008(a,1),7459(a,1,2))]. 16031 x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(16008(a,1),14562(a,1,2,1,1))]. 16032 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(8314(a,2),16006(a,1))]. 16039 (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). [hyper(240,a,14864,a,b,16016,a)]. 16040 a(x,y,K(z,K(u,w))) = 1. [hyper(74,a,16016,a(flip),b,13825,a),flip(a)]. 16042 a(K(x,y),z,K(u,w)) = 1. [hyper(13884,a,16040,a)]. 16043 a(K(x,K(y,z)),u,w) = 1. [hyper(13632,a,16040,a)]. 16047 K(K(x,y),a(z,u,w)) = 1. [hyper(240,a,13598,a(flip),b,16040,a(flip)),flip(a)]. 16049 K(x,a(y,z,K(u,w))) = 1. [hyper(240,a,13491,a(flip),b,16040,a(flip)),flip(a)]. 16051 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,16042,a)]. 16052 K(a(K(x,y),z,u),w) = 1. [hyper(240,a,13711,a(flip),b,16042,a(flip)),flip(a)]. 16053 K(a(x,y,K(z,u)),w) = 1. [hyper(240,a,13561,a(flip),b,16042,a(flip)),flip(a)]. 16057 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,16043,a)]. 16058 K(x,K(a(y,z,u),w)) = 1. [hyper(7767,a,16047,a)]. 16059 a(x,y,z) * (1 * K(u,w)) = K(u,w) * a(x,y,z). [para(16047(a,1),4872(a,1,2,1))]. 16060 T(x,a(y,z,K(u,w))) = x. [hyper(37,a,16049,a)]. 16061 x * K(y,a(z,u,K(w,v5))) != v6 | v6 = x. [para(16049(a,2),85(a,1,2))]. 16064 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(37,a,16052,a)]. 16067 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(37,a,16053,a)]. 16068 x * K(a(y,z,K(u,w)),v5) != v6 | v6 = x. [para(16053(a,2),85(a,1,2))]. 16069 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(10600,a,16057,a),flip(a)]. 16070 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6388,a,16057,a)]. 16071 L(x,y,K(z,K(u,w))) = (x * (K(v5,K(v6,v7)) * v8)) / (v8 * K(v5,K(v6,v7))). [hyper(240,a,15171,a,b,16057,a)]. 16072 (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) \ w). [hyper(240,a,235,a(flip),b,16057,a(flip)),flip(a)]. 16073 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(16057(a,1),106(a,1,2))]. 16074 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(16057(a,1),501(a,1,2))]. 16075 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))). [para(16057(a,1),440(a,1,2,2))]. 16076 (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))),u * K(x,K(y,z))). [para(16057(a,1),15040(a,1,2,2,1))]. 16080 T(x,K(a(y,z,u),w)) = x. [hyper(37,a,16058,a)]. 16082 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2125,a,16060,a),flip(a)]. 16084 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(16060(a,1),231(a,1,2))]. 16086 K(a(x,y,z),T(u,w)) = K(a(x,y,z),u). [hyper(9897,a,16080,a)]. 16087 K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). [hyper(7881,a,16080,a),flip(a)]. 16089 (a(x,y,z) * u) * T(w,u * a(x,y,z)) = w * (a(x,y,z) * u). [hyper(240,a,10369,a(flip),b,16080,a(flip)),flip(a)]. 16090 T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). [hyper(240,a,8907,a(flip),b,16080,a(flip))]. 16091 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(240,a,8158,a(flip),b,16080,a(flip)),flip(a)]. 16094 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(16080(a,1),14572(a,1,2,1,2))]. 16095 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11281,a,16051,a)]. 16096 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(8723,a,16051,a)]. 16099 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(16051(a,1),106(a,1,2))]. 16102 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(5644(a,1),16051(a,1,3))]. 16103 T(x,L(y,z,K(u,w))) = x * K(x,y). [para(16051(a,1),11267(a,1,2)),flip(a)]. 16105 T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. [para(16091(a,1),9142(a,1))]. 16106 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(z \ u) \ (w * K(y,y \ z))). [hyper(240,a,14793,a(flip),b,16095,a(flip)),flip(a)]. 16108 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(5196(a,1),16095(a,1,2))]. 16109 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6387(a,1),16095(a,1,2))]. 16110 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(15454,a,16096,a)]. 16111 K((x * K(y,L(z,u,w))) / (w * u),v5) = K(x / (w * (u * K(z,y))),v5). [hyper(240,a,14568,a(flip),b,16096,a(flip))]. 16113 L(x,y,K(z,u) * (w * z)) = L(x,y,w * T(z,u)). [para(7876(a,1),16070(a,1,3))]. 16114 L(x,y,T(z,u / w)) = L(x,y,T(z,w \ u)). [para(8907(a,1),16070(a,1,3)),flip(a)]. 16115 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(240,a,4800,a,b,16103,a)]. 16116 T(x,L(y,z,K(u,w))) != v5 | T(x,y) = v5. [para(16103(a,2),4803(a,1))]. 16117 T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). [hyper(240,a,14441,a(flip),b,16115,a(flip))]. 16120 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(98(a,1),16061(a,1)),flip(b)]. 16121 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(4800(a,2),16061(a,1))]. 16122 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(13715(a,1),16061(a,1)),flip(b)]. 16127 a(K(x,y),z,u) * w = w * a(K(x,y),z,u). [para(16064(a,1),122(a,1,2)),flip(a)]. 16128 T(a(x,y,K(z,u)),w) != v5 | a(x,y,K(z,u)) = v5. [para(4800(a,2),16068(a,1)),flip(b)]. 16131 K(a(x,y,z),u) != w | K(a(x,y,z),T(u,v5)) = w. [para(16086(a,1),6963(a,1))]. 16133 K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. [para(16086(a,2),13829(a,1))]. 16134 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(240,a,11264,a(flip),b,16102,a(flip))]. 16135 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(16102(a,1),106(a,1,2))]. 16136 T(x,y / a(z,u,w)) != v5 | T(x,a(z,u,w) \ y) = v5. [para(7901(a,1),16105(a,1))]. 16137 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(124(a,1),16109(a,1,2,3)),flip(a)]. 16140 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(5196(a,1),16122(a,1,2))]. 16141 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6387(a,1),16122(a,1,2))]. 16142 K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. [para(11254(a,1),16122(a,1))]. 16143 K((K(x,y) * z) \ u,w) != v5 | K(z \ (K(y,x) * u),w) = v5. [para(5196(a,1),16142(a,1,1))]. 16144 K(x \ (K(y,z) * u),w) != v5 | K((K(z,y) * x) \ u,w) = v5. [para(5195(a,1),16142(a,1,1))]. 16146 L(x,y,K(z * u,z) * w) = L(x,y,w * K(u,z)). [hyper(240,a,13030,a(flip),b,16069,a)]. 16148 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(13852,a,16082,a)]. 16149 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) = w. [hyper(13622,a,16082,a)]. 16150 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(13621,a,16082,a)]. 16152 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(240,a,13608,a,b,16082,a)]. 16153 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(240,a,13619,a,b,16082,a(flip)),flip(a)]. 16154 x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. [hyper(75,a,13620,a(flip),b,16082,a(flip))]. 16155 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). [para(16082(a,1),608(a,1,2,1))]. 16156 K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). [para(13564(a,1),16082(a,1,1))]. 16157 x * a(y,z,K(u,w)) != v5 | a(u,z,K(w,y)) * x = v5. [para(16082(a,1),13852(a,1))]. 16158 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(7026,a,16087,a)]. 16160 K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). [para(13597(a,2),16087(a,1,1))]. 16161 K(x,a(y,z,u)) * w = w * K(y,a(u,z,x)). [para(13599(a,1),16087(a,1,1))]. 16162 K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). [hyper(240,a,13597,a,b,16158,a)]. 16163 K(a(x,y,z),u) != w | K(x,a(u,y,z)) = w. [para(16162(a,1),4989(a,1))]. 16165 a(K(x,y),z,u) != w | K(x,a(y,z,u)) = w. [para(13561(a,2),16163(a,1))]. 16166 K(x,a(y,z,u)) != w | K(u,a(x,z,y)) = w. [para(13713(a,1),16163(a,1))]. 16170 K(x,T(a(y,z,u),w)) != v5 | K(x,a(T(y,w),z,u)) = v5. [para(13488(a,1),16165(a,1))]. 16171 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). [hyper(240,a,14226,a(flip),b,16114,a(flip))]. 16172 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(73,a,13720,a(flip),b,16127,a)]. 16174 K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). [hyper(11322,a,16137,a),flip(a)]. 16175 K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,14119,a(flip),b,16137,a(flip))]. 16176 K(x,L(y,z,(u * w) \ w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(16137(a,1),13992(a,1))]. 16177 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(16137(a,1),13994(a,1))]. 16179 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(73,a,318,a,b,16148,a)]. 16181 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. [para(16149(a,1),10949(a,1,2)),flip(b)]. 16182 x / a(y,z,K(u,w)) != v5 | a(w,z,K(u,y)) * x = v5. [para(16150(a,1),299(a,1,1)),flip(b)]. 16183 a(x,y,K(z,u)) * (w * K(x,u)) = w * L(K(x,u),y,z). [hyper(240,a,10766,a(flip),b,16152,a)]. 16184 (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(16152(a,2),10045(a,1,1,2))]. 16185 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(240,a,14052,a(flip),b,16153,a(flip))]. 16186 a(x,y,K(z,u)) * (w * a(u,y,K(z,x))) != v5 * v6 | v5 \ w = v6. [para(16153(a,1),376(a,1,2))]. 16188 K(x,a(y,z,u)) * (w * K(y,a(x,z,u))) = w. [hyper(5191,a,16160,a)]. 16189 K(x,y) \ (K(z,a(K(y,x) * u,w,v5)) * T(u,K(y,x))) = T(u * K(y,x),a(v5,w,z)). [hyper(73,a,16161,a,b,15612,a(flip))]. 16191 K(x,a(y,z,u)) * (w * a(x,z,u)) = w * T(a(x,z,u),y). [para(7103(a,1),16188(a,1,2))]. 16193 K(a(x,y,z),T(u,w)) != v5 | K(a(x,y,z),T(u,v6)) = v5. [para(16086(a,2),16131(a,1))]. 16194 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(16133,a,13530,a(flip)),flip(a)]. 16195 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(13530(a,2),16133(a,1))]. 16196 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(240,a,13563,a,b,16194,a)]. 16197 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(124(a,1),16194(a,1,3,2)),flip(a)]. 16198 ((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(16196(a,1),14523(a,1,2))]. 16199 a(x / y,z,K(u,w)) = a(u,z,K(w,y \ x)). [hyper(13813,a,16197,a)]. 16200 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [hyper(240,a,13563,a(flip),b,16199,a)]. 16201 a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). [para(16200(a,1),13627(a,1,1))]. 16202 K(x,L(y,z,(u \ w) \ w)) != v5 | K(x,L(y,z,u)) = v5. [para(123(a,1),16141(a,1,2,3))]. 16204 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) != w | a(x,u,K(y,z)) = w. [para(7027(a,2),16195(a,1))]. 16205 a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. [para(10329(a,1),16195(a,1,3))]. 16206 K(x,K(y,z / (u * w))) = K(x,K(y,u \ (z / w))). [hyper(14855,a,16018,a),flip(a)]. 16210 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(555,a,16019,a)]. 16211 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(240,a,14864,a,b,16019,a)]. 16212 K(x,K(y,z)) * (u * (x * w)) = u * (T(x,K(y,z)) * w). [para(14877(a,1),16019(a,2,2))]. 16214 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(16016(a,1),16019(a,2,2))]. 16215 K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). [hyper(7489,a,16024,a)]. 16216 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(16024(a,1),10636(a,1,1))]. 16218 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(16025(a,1),7545(a,1))]. 16219 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(240,a,15034,a,b,16039,a(flip)),flip(a)]. 16220 K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. [para(16039(a,1),15275(a,1,2,2))]. 16221 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(11(a,1),16059(a,1,2)),flip(a)]. 16223 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(7646,a,16221,a),flip(a)]. 16224 (x / a(y,z,u)) \ T(x,w) = K(x,w) * a(y,z,u). [hyper(240,a,14089,a,b,16221,a),flip(a)]. 16225 (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. [hyper(22,a,16221,a)]. 16226 K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). [hyper(18,a,10337,a,b,16221,a),flip(a)]. 16227 K(x,y / a(z,u,w)) = K(x,a(z,u,w) \ y). [hyper(18,a,7030,a,b,16221,a),flip(a)]. 16228 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [hyper(18,a,6196,a,b,16221,a),flip(a)]. 16229 L(K(x,y) * (a(z,u,w) \ v5),K(y,x),a(z,u,w)) = (K(y,x) * a(z,u,w)) \ v5. [para(16221(a,2),5202(a,2,1))]. 16231 a(a(x,y,z),K(u,w),v5) * (a(x,y,z) * (K(u,w) * v5)) = (K(u,w) * a(x,y,z)) * v5. [para(16221(a,2),13825(a,2,1))]. 16232 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * T(a(y,z,u),w),v6)). [hyper(240,a,14965,a(flip),b,16223,a(flip)),flip(a)]. 16235 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(16223(a,1),7780(a,1))]. 16236 K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. [para(16223(a,1),7783(a,1))]. 16237 K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). [para(16223(a,1),7899(a,1,1))]. 16238 K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. [para(16223(a,1),10296(a,1))]. 16239 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(16223(a,1),10297(a,1))]. 16240 K(a(x,y,z) / u,w) != v5 | K(u \ a(x,y,z),w) = v5. [para(7608(a,1),16235(a,1))]. 16241 L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). [para(16227(a,1),11248(a,1,1))]. 16242 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) != v5 | u \ w = v5. [para(16072(a,1),305(a,1))]. 16243 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(7538(a,2),16072(a,1,1))]. 16244 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(582,a,16073,a)]. 16245 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(240,a,16019,a(flip),b,16073,a)]. 16246 K(x,K(y,z)) * ((u * x) * w) = (u * T(x,K(y,z))) * w. [para(14865(a,1),16073(a,1,1)),flip(a)]. 16247 K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. [para(7417(a,1),16074(a,1,1)),flip(a)]. 16248 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(240,a,6990,a(flip),b,16099,a)]. 16251 K(x,y) * (K(z,u) * (w * K(y,x))) = T(K(z,u) * w,K(x,y)). [para(16099(a,1),7563(a,1,2))]. 16253 K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). [para(14129(a,1),16099(a,1,1)),flip(a)]. 16254 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(15303,a,16108,a(flip)),flip(a)]. 16255 L(x,y,(K(1 / z,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,u)). [hyper(240,a,6918,a,b,16113,a(flip)),flip(a)]. 16257 L(x,y,K(z * (L(u,w,v5) \ 1),z) * v6) = L(x,y,v6 * K(u \ 1,L(z,w,v5))). [para(11255(a,1),16146(a,2,3,2))]. 16258 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [hyper(14855,a,16206,a)]. 16259 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(7464(a,1),16210(a,1,2)),flip(a)]. 16260 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(16210(a,1),12830(a,1,1,2,1))]. 16261 x * (K(y,K(z,u)) * (x \ w)) = K(y,K(z,u)) * w. [hyper(310,a,16211,a),flip(a)]. 16262 (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). [hyper(17,a,16073,a(flip),b,16211,a)]. 16264 K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). [para(15173(a,1),16211(a,2,2))]. 16265 x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). [para(16211(a,1),16210(a,1,2))]. 16266 K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). [para(16215(a,1),13941(a,1,2))]. 16267 (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). [para(13546(a,1),16224(a,1,1))]. 16268 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(16247(a,1),15225(a,1,2))]. 16269 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). [para(8095(a,1),16268(a,1,2,1))]. 16270 T(x,K(((y \ z) * y) / (u * y),w)) = x * K(x,K(w,y \ (z / u))). [para(16258(a,1),15640(a,2,2))]. 16271 K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. [para(16259(a,1),15259(a,1,2))]. 16272 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(16259(a,1),15236(a,1,2,2))]. 16274 K(x,K(y,z)) * (u \ K(x,z * y)) = u \ K(x,y * z). [hyper(73,a,10395,a(flip),b,16261,a),flip(a)]. 16276 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(14862(a,1),16262(a,1,1))]. 16277 (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (K(y,K(z,u)) * v5). [para(16211(a,1),16262(a,1,1))]. 16278 L(x,K(y,K(z,u)),w) = x. [hyper(438,a,16276,a)]. 16279 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(73,a,58,a(flip),b,16276,a)]. 16280 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. [para(16276(a,1),449(a,1,1))]. 16281 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(16278(a,1),15091(a,1,1))]. 16282 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(16278(a,1),15041(a,1,2,2,1))]. 16283 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) * (x \ w). [hyper(240,a,7538,a(flip),b,16279,a)]. 16284 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(15034(a,2),16279(a,1,1))]. 16285 K(x,K(y,z)) * ((x * u) \ w) = (T(x,K(y,z)) * u) \ w. [para(14877(a,1),16283(a,1,1)),flip(a)]. 16286 (x * (y * K(z,K(u,w)))) \ v5 = K(z,K(u,w)) * ((x * y) \ v5). [para(16016(a,1),16283(a,1,1))]. 16287 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(16039(a,1),16283(a,1,1))]. 16288 K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). [hyper(240,a,16243,a(flip),b,16284,a(flip))]. 16289 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(16288(a,1),15229(a,1,2))]. 16290 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [para(5485(a,1),16289(a,1,2,2)),flip(a)]. 16291 K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * K(z,u)) * v5)). [para(10160(a,1),16289(a,1,2,2))]. 16292 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(15177(a,1),16289(a,1,2,2))]. 16294 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(16148(a,1),16084(a,1))]. 16295 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(16152(a,1),16084(a,1))]. 16297 T(x,y * (a(z,u,w) \ 1)) != v5 | T(x,a(z,u,w) \ y) = v5. [para(13752(a,2),16136(a,1))]. 16298 K(x,a(T(y,z),u,w)) = K(x,a(y,u,w)). [hyper(16170,a,16158,a)]. 16299 K(x,a(y,z,u)) * (x * (z * K(u,T(y,z)))) = (x * T(z,K(y,u))) * K(u,y). [para(16298(a,1),14066(a,1,1))]. 16305 K((x \ 1) * R(x,y,y \ 1),z) != u | K(a(x,y,y \ 1),T(z,w)) = u. [para(10347(a,1),16193(a,1))]. 16309 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,x)). [hyper(16240,a,11397,a)]. 16310 K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). [hyper(240,a,6987,a,b,16028,a)]. 16311 a(x,y,K(z,u)) * (w * K(x,u)) = w * K(x,L(u,y,z)). [para(11248(a,1),16183(a,2,2))]. 16312 T(x,K(y,z)) \ (u * (x * w)) = x \ (u * (T(x,K(y,z)) * w)). [hyper(73,a,16212,a(flip),b,7535,a),flip(a)]. 16314 T(x,K(y,z)) \ ((u * x) * w) = x \ ((u * T(x,K(y,z))) * w). [hyper(73,a,16246,a(flip),b,7535,a),flip(a)]. 16316 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(15437,a,16248,a)]. 16328 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). [para(16316(a,1),5184(a,1,2))]. 16329 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. [para(16316(a,1),5194(a,1,2))]. 16331 K(x,T(y,z)) * (K(u,w) * z) = K(u,w) * (z * K(x,y)). [para(7611(a,1),16316(a,1,2)),flip(a)]. 16334 K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). [hyper(14197,a,16253,a)]. 16336 K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(z,u))). [hyper(14170,a,16272,a)]. 16337 K(x,K(y,z)) * ((u \ K(x,z * y)) * w) = (u \ K(x,y * z)) * w. [para(16274(a,1),16073(a,1,1)),flip(a)]. 16338 K((T(x,K(y,z)) * u) \ w,v5) != v6 | K((x * u) \ w,v5) = v6. [para(16285(a,1),15270(a,1,1))]. 16339 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(1 / x,z). [hyper(240,a,7606,a(flip),b,16309,a)]. 16340 K(x \ a(y,x,x \ 1),L(z,x,y)) != u | K(x \ 1,z) = u. [para(16339(a,2),5406(a,1))]. 16341 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(u,K(x,w)). [hyper(5191,a,16310,a)]. 16342 (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (L(z,K(x,y),K(u,T(w,z))) * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(16331(a,1),441(a,1,1))]. 16343 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(x,K(u,w)). [hyper(240,a,7487,a,b,16341,a)]. 16344 K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). [hyper(240,a,11314,a(flip),b,16343,a(flip)),flip(a)]. 16345 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(16143,a,15248,a),flip(a)]. 16347 K((x * K(y,z)) \ u,w) != v5 | K(x \ (K(z,y) * u),w) = v5. [para(15248(a,1),16143(a,1))]. 16349 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(12178(a,2),16345(a,2,1,2)),flip(a)]. 16350 K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). [hyper(16176,a,13949,a),flip(a)]. 16351 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(16176,a,16350,a)]. 16352 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(14(a,1),16351(a,1,2,2)),flip(a)]. 16353 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,L(y,R(z,u,u \ 1),z \ 1)). [para(679(a,1),16351(a,1,2,2)),flip(a)]. 16354 K(x,L(y,z \ 1,(z \ 1) \ u)) = K(x,L(y,u,u * z)). [hyper(16177,a,13949,a),flip(a)]. 16355 K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). [para(14(a,1),16354(a,2,2,3))]. 16356 (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(16191(a,1),10344(a,1,1))]. 16357 K(((K(x,y) * (z * x)) * u) \ w,v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. [para(7876(a,1),16338(a,1,1,1,1))]. 16358 K((x * y) / (K(z,u) * y),w) != v5 | K(y \ (K(u,z) * (y * x)),w) = v5. [para(15379(a,2),16347(a,1))]. 16360 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(16080(a,1),16094(a,1,2)),flip(a)]. 16361 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(240,a,32,a,b,16360,a)]. 16363 T(x,y * K(a(z,u,w),v5)) = T(x,y). [hyper(15144,a,16361,a)]. 16364 T(x,y * T(z,a(u,w,v5))) = T(x,y * z). [hyper(14998,a,16361,a)]. 16365 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(13491(a,2),16361(a,1,2,1))]. 16366 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(13496(a,1),16361(a,1,2))]. 16367 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(16156(a,1),16361(a,1,2))]. 16368 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). [para(14007(a,1),16363(a,1,2))]. 16369 (a(x,y,K(z,u)) * w) * T(v5,w) != v6 | v5 * (a(x,y,K(z,u)) * w) = v6. [para(16365(a,1),231(a,1,2))]. 16370 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [para(10755(a,1),16365(a,1,2)),flip(a)]. 16371 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(11280(a,1),16365(a,1,2)),flip(a)]. 16373 T(x,K(y,L(z / u,w,v5))) = T(x,K(y,u \ z)). [hyper(240,a,15214,a(flip),b,16366,a)]. 16375 T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). [para(454(a,1),16366(a,1,2,2)),flip(a)]. 16377 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(73,a,16367,a(flip),b,4800,a(flip)),flip(a)]. 16378 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(11872(a,1),16367(a,1,2))]. 16379 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(16367(a,1),12847(a,1,1,1,1))]. 16381 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(16370(a,1),10748(a,1,1,1))]. 16382 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(240,a,4753,a,b,16377,a)]. 16383 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(16377(a,2),4860(a,1))]. 16384 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(16239,a,16382,a)]. 16385 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(94(a,1),16382(a,1,2))]. 16386 K(x * a(y,z,K(u,w)),v5) = 1 / K(v5,x). [para(16382(a,1),4980(a,1,2)),flip(a)]. 16387 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(11872(a,1),16382(a,1,2))]. 16388 K(x,y * K(z,a(u,w,v5))) = K(x,y). [para(13491(a,1),16382(a,1,2,2))]. 16389 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(11280(a,1),16384(a,1,2)),flip(a)]. 16390 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(240,a,4980,a(flip),b,16386,a)]. 16391 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(16386(a,2),4982(a,1))]. 16392 K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). [para(94(a,1),16390(a,1,1))]. 16394 K(x * K(y,a(z,u,w)),v5) = K(x,v5). [para(13491(a,1),16390(a,1,1,2))]. 16395 K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). [para(13566(a,1),16390(a,1,1))]. 16396 K(K(x,a(y,z,u)) * w,v5) = K(w,v5). [para(16156(a,2),16390(a,1,1))]. 16397 K(T(x,a(y,z,u)) \ w,v5) = K(x \ w,v5). [hyper(14994,a,16394,a),flip(a)]. 16398 K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). [para(11310(a,1),16394(a,1,1))]. 16399 K((a(x,y,z) * u) \ w,v5) = K((u * a(x,y,z)) \ w,v5). [para(9603(a,1),16396(a,1,1))]. 16400 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(94(a,1),16383(a,1,2))]. 16401 K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. [para(16156(a,2),16383(a,1,2))]. 16403 K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. [para(13641(a,1),16391(a,1,1))]. 16404 K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. [para(13566(a,1),16391(a,1,1))]. 16406 K(x,y * (a(z,u,w) * v5)) != v6 | K(x,y * (v5 * a(z,u,w))) = v6. [para(15094(a,1),16401(a,1))]. 16407 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [hyper(240,a,14572,a,b,16371,a)]. 16408 T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,u \ (z \ w)) * v5). [para(235(a,1),16371(a,1,2,1,2))]. 16409 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(11254(a,1),16371(a,1,2,1))]. 16410 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). [para(14449(a,1),16371(a,1,2,1)),flip(a)]. 16411 T(x,K(y,z / (u * w))) = T(x,K(y,u \ (z / w))). [para(14449(a,1),16373(a,1,2))]. 16412 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(94(a,1),16387(a,1,2,2))]. 16413 K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). [para(11872(a,1),16387(a,1,2,2))]. 16414 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [para(16082(a,2),16387(a,1,2,2))]. 16415 K(x * (y / T(z,a(u,w,v5))),v6) = K(x * (y / z),v6). [para(5926(a,1),16398(a,1,1,2)),flip(a)]. 16416 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(14884,a,16409,a)]. 16417 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(16416(a,1),4750(a,2,2))]. 16418 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(11310(a,1),16416(a,1,2)),flip(a)]. 16419 T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). [hyper(8026,a,16375,a)]. 16420 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). [hyper(15056,a,16385,a)]. 16421 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(14931,a,16385,a)]. 16422 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). [para(13577(a,1),16385(a,2,2,2))]. 16423 K(x * ((y / x) * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(15701,a,16392,a),flip(a)]. 16424 K(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). [hyper(15168,a,16392,a)]. 16425 K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). [hyper(14933,a,16392,a)]. 16426 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(14615,a,16392,a)]. 16428 K(K(x,y) * ((y \ z) * u),w) = K((T(y,x) \ z) * u,w). [para(5078(a,1),16395(a,1,1,1)),flip(a)]. 16429 T(x,y * ((z / y) * K(u,w))) = T(x,K(u,w) * T(z,y)). [hyper(15192,a,16418,a),flip(a)]. 16430 T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))). [para(14083(a,1),16418(a,2,2,2))]. 16431 T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). [para(14088(a,1),16418(a,2,2,2))]. 16432 K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). [hyper(14991,a,16420,a),flip(a)]. 16433 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(15277,a,16420,a(flip)),flip(a)]. 16434 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [para(4776(a,2),16432(a,1,2,2))]. 16435 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(4813(a,1),16432(a,1,2,2)),flip(a)]. 16436 K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). [para(3982(a,1),16435(a,1,2,2)),flip(a)]. 16437 K(x,y * (z * K(u * K(w,v5),v6))) = K(x,K(u,v6) * (y * z)). [hyper(15766,a,16421,a),flip(a)]. 16438 K(x,K(y,z) * (u * (w * K(z,y)))) = K(x,u * w). [para(7090(a,1),16421(a,2,2,2))]. 16439 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(16421(a,2),15277(a,1))]. 16440 K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). [hyper(240,a,16395,a,b,16424,a(flip)),flip(a)]. 16441 K(K(x,x \ y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [para(6231(a,1),16424(a,2,1,2))]. 16442 K(x * (y * K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(240,a,16424,a(flip),b,16425,a(flip))]. 16443 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w). [para(7104(a,1),16425(a,2,1,2))]. 16444 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(13577(a,1),16425(a,2,1,2))]. 16445 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(240,a,14447,a(flip),b,16426,a(flip))]. 16446 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(4815(a,1),16433(a,1,2)),flip(a)]. 16447 K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(16433(a,1),14594(a,1))]. 16448 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. [para(16433(a,2),15262(a,1))]. 16449 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(5380(a,1),16446(a,1,2)),flip(a)]. 16450 K(x,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). [para(6967(a,1),16446(a,1,2,2,1))]. 16451 K(x,T(y,z / u) * (z / u)) = K(x,T(u \ z,u) * y). [hyper(240,a,10293,a,b,16449,a),flip(a)]. 16452 K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). [para(3965(a,1),16449(a,1,2,1))]. 16453 K(x,y * (z / (z / u))) = K(x,y * T(u,z)). [hyper(240,a,12720,a(flip),b,16436,a)]. 16454 K(x,y * T((z \ 1) * u,L(u,z \ 1,z))) = K(x,y * (L(u,z \ 1,z) / z)). [para(403(a,1),16453(a,1,2,2,2)),flip(a)]. 16455 K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). [hyper(15306,a,16440,a)]. 16456 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5078(a,1),16440(a,1,1,1)),flip(a)]. 16457 K(x * ((y / z) * K(z,u)),w) = K(x * (y / T(z,u)),w). [para(7104(a,1),16442(a,1,1,2)),flip(a)]. 16458 K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). [para(14083(a,1),16442(a,1,1,2)),flip(a)]. 16459 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [hyper(240,a,12723,a(flip),b,16452,a(flip)),flip(a)]. 16461 K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). [hyper(240,a,12796,a(flip),b,16459,a(flip)),flip(a)]. 16462 K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). [para(65(a,1),16459(a,1,2,1,1)),flip(a)]. 16463 K(x,(T(y,y \ z) \ T(z,T(y,y \ z))) * u) = K(x,(y \ z) * u). [para(209(a,1),16461(a,2,2,1))]. 16464 K(x,T(T(y / z,y),u) * ((z \ y) \ w)) = K(x,K(y \ (z * u),z \ y) * w). [hyper(240,a,13235,a(flip),b,16462,a(flip))]. 16465 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(240,a,4750,a,b,16417,a)]. 16466 K(x * K(L(y,z,u),w),v5) != v6 | K(K(y,w) * x,v5) = v6. [para(16417(a,2),4833(a,1))]. 16467 K(x * K(y,L(z,u,w)),v5) = K(K(z,y) * x,v5). [hyper(14615,a,16465,a)]. 16469 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(y,z) * x,v5) = v6. [para(16467(a,2),15151(a,1))]. 16470 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). [hyper(15194,a,16422,a)]. 16471 K(K(x,y) * ((x \ z) * u),w) = K((T(x,y) \ z) * u,w). [hyper(15151,a,16428,a)]. 16472 T(x,K(y,z) * (u * (w \ T(z,v5)))) = T(x,u * (w \ T(T(z,v5),y))). [hyper(15314,a,16430,a)]. 16473 T(x,K(y,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). [hyper(14643,a,16430,a)]. 16474 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(16429(a,1),16443(a,2,1,2,2))]. 16475 K(x,T(y \ z,y) * u) != w | K(x,(z / y) * u) = w. [para(16451(a,1),10299(a,1))]. 16476 K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,z)),w). [hyper(15273,a,16457,a)]. 16477 K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(14915(a,2),16466(a,1))]. 16478 K(x * (y * K(z,L(u,w,v5))),v6) = K(K(z,u) * (x * y),v6). [hyper(16469,a,16392,a),flip(a)]. 16479 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(16469,a,14915,a(flip)),flip(a)]. 16480 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(14915(a,2),16469(a,1))]. 16481 K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). [para(11320(a,1),16479(a,1,1,1)),flip(a)]. 16482 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(15674(a,1),16471(a,1,1,1))]. 16483 T(x,K(y,z) * (u * (w \ T(y,v5)))) = T(x,u * (w \ T(T(y,v5),z))). [hyper(15279,a,16473,a)]. 16484 K(x * (y / T(z,T(u,w))),v5) = K(x * (K(z,u) * (y / z)),v5). [hyper(240,a,15406,a,b,16476,a),flip(a)]. 16485 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(10133(a,1),16476(a,1,1,2,2))]. 16486 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(z,y) * x,v5) = v6. [para(15065(a,1),16477(a,1))]. 16487 K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. [para(15137(a,2),16477(a,1))]. 16488 K(K(x,(y * z) \ u) * w,v5) != v6 | K(K(x,z \ (y \ u)) * w,v5) = v6. [para(235(a,1),16480(a,1,1,1,2))]. 16489 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(14886(a,2),16400(a,1))]. 16491 K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. [para(15429(a,2),16404(a,1))]. 16492 K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(16421(a,1),16448(a,1))]. 16493 K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). [hyper(15273,a,16478,a)]. 16495 K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. [para(16389(a,2),16489(a,1))]. 16496 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). [hyper(16492,a,12915,a)]. 16497 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(u,w))). [hyper(16492,a,16496,a(flip)),flip(a)]. 16498 K(x,y * (z * K(u * w,u))) = K(x,y * (z * K(u,w))). [para(13(a,1),16496(a,1,2,2,2,2)),flip(a)]. 16500 K(x,y * (z * K(u,u \ w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(16497(a,2),16492(a,1))]. 16502 L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). [hyper(15328,a,16171,a),flip(a)]. 16503 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. [para(16214(a,1),772(a,1,2))]. 16504 x \ ((a(y,z,u) * w) * T(x,w)) = T(K(x,w) * (a(y,z,u) * w),x). [hyper(401,a,16237,a(flip),b,6913,a),flip(a)]. 16505 K(x,a(y,z,u) \ w) * (w * x) = (a(y,z,u) * (a(y,z,u) \ w)) * T(x,a(y,z,u) \ w). [para(14(a,1),16237(a,1,2,1))]. 16506 K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. [para(16241(a,1),11281(a,1))]. 16507 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(8763,a,16251,a),flip(a)]. 16508 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). [para(16264(a,1),15207(a,1,2))]. 16509 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). [hyper(15266,a,16508,a(flip)),flip(a)]. 16510 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (K(y,z) * u)). [para(11272(a,1),16509(a,1,2))]. 16511 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(w,u) * z)). [hyper(240,a,15295,a(flip),b,16510,a(flip)),flip(a)]. 16512 T(x,y * (K(z,u) * (z \ w))) = T(x,y * (T(z,u) \ w)). [para(7399(a,1),16511(a,1,2,2)),flip(a)]. 16513 ((x * (y * (K(z,K(u,w)) * v5))) \ ((x * y) * v5)) * K(z,K(u,w)) = a(x,y,K(z,K(u,w)) * v5). [hyper(669,a,16265,a),flip(a)]. 16514 x \ (y * (K(z,K(u,w)) * v5)) != v6 | K(z,K(u,w)) * (x \ (y * v5)) = v6. [para(16265(a,2),14863(a,1))]. 16515 (x * (y * (K(z,K(u,w)) * v5))) \ v6 = K(z,K(u,w)) * ((x * (y * v5)) \ v6). [para(16039(a,1),16286(a,1,1,2))]. 16516 K(x,y / (T(z,T(u,w)) \ v5)) != v6 | K(x,y / (T(z,u) \ v5)) = v6. [para(16336(a,2),14170(a,1))]. 16517 K(x,L(y,(z \ u) \ 1,z * (z \ u))) = K(x,L(y,z,u)). [hyper(16177,a,16355,a)]. 16518 K(x,L(y,(z \ u) \ 1,u)) = K(x,L(y,z,u)). [para(14(a,1),16517(a,1,2,3))]. 16519 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,(w * u) \ z) * v5). [hyper(15312,a,16410,a(flip)),flip(a)]. 16520 K(x,y * ((z \ u) * (z * K(w,v5)))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(240,a,15370,a(flip),b,16412,a(flip))]. 16521 K(x,y * (z * K(u * K(w,v5),T(v6,v7)))) = K(x,(y * z) * K(u,v6)). [hyper(240,a,15283,a(flip),b,16437,a)]. 16522 K(x,y * (z \ K(u \ 1,w))) = K(x,y * (z \ K(u,w))). [hyper(240,a,16422,a(flip),b,16470,a(flip))]. 16523 K(x * (K(y,z) * (u / y)),w) != v5 | K(x * (u / T(y,z)),w) = v5. [para(16484(a,1),15407(a,1))]. 16524 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,u \ (w \ z)) * v5). [hyper(240,a,16408,a(flip),b,16519,a)]. 16525 T(x,K(y,z \ (u \ w)) * v5) != v6 | T(x,K(y,u \ (w / z)) * v5) = v6. [para(16524(a,1),15312(a,1))]. 16527 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(7560(a,1),16407(a,2,2))]. 16528 T(x,K(y,L(z,u,w)) * v5) != v6 | T(x,K(y,z) * v5) = v6. [para(16407(a,2),14580(a,1))]. 16530 T(x,(K(y,z) * u) * w) != v5 | T(x,K(y,z) * (u * w)) = v5. [para(14459(a,1),16528(a,1,2))]. 16531 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(16530,a,15217,a),flip(a)]. 16532 T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (y * w)) = v5. [para(14151(a,2),16530(a,1))]. 16534 T(x,K(y * z,y \ 1) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(240,a,14699,a(flip),b,16531,a(flip))]. 16535 T(x,K(y,z) * ((u / (y * z)) * w)) = T(x,(u / (z * y)) * w). [para(9930(a,1),16531(a,1,2,1)),flip(a)]. 16536 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ (y * z)) * w). [para(14007(a,1),16531(a,1,2,1)),flip(a)]. 16537 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ (T(y,z) * z)) * w). [para(14032(a,1),16531(a,1,2,1)),flip(a)]. 16538 K(x * ((y / z) * K(z,u)),w) != v5 | K(x * (y / T(z,u)),w) = v5. [para(15245(a,1),16523(a,1))]. 16539 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z \ 1)). [para(8008(a,1),16527(a,2,2,1,2))]. 16540 K(K(x,y) * (z * (u / y)),w) != v5 | K(z * (u / T(y,x)),w) = v5. [para(16424(a,2),16538(a,1))]. 16541 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(240,a,7629,a(flip),b,16110,a)]. 16542 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(16541(a,2),7780(a,1))]. 16544 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6650(a,1),16134(a,1,2,1))]. 16545 L(x,y,(K(z \ 1,u) * w) * (z \ 1)) = L(x,y,w * T(1 / z,u)). [para(3019(a,1),16255(a,1,3,1,1))]. 16546 T(x,K(((y \ z) * y) / (u * y),w)) = T(x,K(w,y \ (z / u))). [hyper(240,a,4800,a,b,16270,a)]. 16547 T(x,K(y,((z \ u) * z) / (w * z))) = T(x,K(y,z \ (u / w))). [hyper(7578,a,16546,a)]. 16548 T(x,K(y,z \ (((u \ w) * u) / u))) = T(x,K(y,u \ (w / z))). [hyper(240,a,16411,a(flip),b,16547,a(flip)),flip(a)]. 16549 T(x,K(y,z \ (u \ w))) = T(x,K(y,u \ (w / z))). [para(15(a,1),16548(a,1,2,2,2))]. 16550 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [para(15(a,1),16549(a,2,2,2,2))]. 16553 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(73,a,16550,a(flip),b,4800,a(flip)),flip(a)]. 16554 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(240,a,4753,a,b,16553,a)]. 16555 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(16(a,1),16554(a,1,2,2,2,2))]. 16556 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(240,a,15509,a(flip),b,16555,a)]. 16558 K(x,K(y,z \ (T(u,w) \ v5))) != v6 | K(x,K(y,u \ (z \ v5))) = v6. [para(16556(a,1),15541(a,1))]. 16559 K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * u. [hyper(240,a,10400,a(flip),b,16337,a(flip)),flip(a)]. 16560 K(K(x,y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [hyper(12733,a,16441,a)]. 16561 K(x,(T(y,y \ z) \ T(z,y)) * u) = K(x,(y \ z) * u). [para(4129(a,1),16463(a,1,2,1,2))]. 16562 K(x,(T(y \ z,y) * K(z,y)) * u) = K(x,(y \ z) * u). [para(14099(a,1),16561(a,1,2,1))]. 16563 K(x,T((y \ z) * K(z,y),y) * u) = K(x,(y \ z) * u). [para(6868(a,2),16562(a,1,2,1))]. 16564 K(x,T(y \ T(z,y),y) * u) = K(x,(y \ z) * u). [para(7093(a,1),16563(a,1,2,1,1))]. 16565 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [hyper(16475,a,16564,a)]. 16566 K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). [para(14184(a,1),16565(a,2,2))]. 16567 K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(16565(a,2),14931(a,1))]. 16568 K(x,(T(y \ z,u) / u) * K(z,y)) = K(x,u \ (z / y)). [hyper(240,a,15130,a(flip),b,16566,a(flip)),flip(a)]. 16569 K(x,K(y,z) * (u \ (z \ y))) = K(x,u \ (y / z)). [hyper(16567,a,16568,a)]. 16571 T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). [hyper(240,a,16431,a(flip),b,16472,a(flip))]. 16572 K(x,K(y,L(z,u,w)) * (v5 * v6)) = K(x,v5 * (v6 * K(y \ 1,z))). [hyper(16495,a,14651,a),flip(a)]. 16573 K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. [para(14459(a,1),16495(a,1,2))]. 16574 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(16573,a,15234,a),flip(a)]. 16575 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [hyper(16573,a,xx),flip(a)]. 16577 K(x,(y \ z) * (u * K(z,w))) = K(x,(y \ T(z,w)) * u). [para(14083(a,1),16574(a,1,2,1)),flip(a)]. 16578 K(x,(y * (K(z,y) * u)) * w) = K(x,(y * u) * (w * K(z,y))). [para(5166(a,1),16575(a,1,2,1))]. 16579 K(x,y * (z * K(u,w))) * K(x,K(K(u,w) * y,z)) = K(x,z * (K(u,w) * y)). [para(16575(a,1),10396(a,1,1))]. 16580 K(x,(K(y,z) * u) * (w \ 1)) = K(x,u * (w \ K(y,z))). [para(13577(a,1),16575(a,2,2,2))]. 16581 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(13799,a,16580,a)]. 16582 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(15302,a,16581,a)]. 16583 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(15371,a,16581,a(flip)),flip(a)]. 16584 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [hyper(15371,a,16582,a(flip)),flip(a)]. 16586 K(x,y / (z * K(u,w))) != v5 | K(x,(K(w,u) * y) / z) = v5. [para(16584(a,1),15301(a,1))]. 16587 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(16495,a,16572,a),flip(a)]. 16588 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(240,a,7445,a,b,16587,a(flip)),flip(a)]. 16589 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4800(a,2),16588(a,2,2,2))]. 16590 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(13799,a,16589,a)]. 16591 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(14626,a,16590,a)]. 16592 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(13818,a,16591,a),flip(a)]. 16593 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(12785,a,16592,a)]. 16594 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(16593(a,1),4809(a,2,1))]. 16595 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(240,a,4809,a,b,16594,a)]. 16596 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(240,a,14576,a,b,16595,a(flip)),flip(a)]. 16597 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(15304,a,16544,a)]. 16598 L(x,y,K(z \ 1,u) * (w * (z \ 1))) = L(x,y,w * T(1 / z,u)). [para(6913(a,1),16545(a,1,3))]. 16599 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(16597(a,1),7098(a,1,1,2))]. 16600 L(x,y,z * T(1 / u,w)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,16113,a(flip),b,16598,a(flip))]. 16601 L(x,y,K(z,K(u,w))) != v5 | v5 = x. [para(16071(a,2),299(a,1))]. 16603 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(16185(a,1),6178(a,1,1)),flip(a)]. 16604 a(x,y,K(z,u)) * (z * T(w,z)) = w * (a(x,y,K(z,u)) * z). [hyper(16369,a,13160,a),flip(a)]. 16605 a(x,y,K(z,u)) * (w * z) = w * (a(x,y,K(z,u)) * z). [hyper(544,a,16604,a)]. 16606 K(x,(y \ z) * (K(u,y \ z) * w)) = K(x,T(T(z / y,z),u) * w). [hyper(240,a,12758,a(flip),b,16450,a(flip)),flip(a)]. 16607 K(x,T(T(y / z,y),u) * w) = K(x,T(z \ y,u) * w). [hyper(240,a,16446,a(flip),b,16606,a(flip))]. 16608 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). [para(16067(a,1),16155(a,2,1))]. 16609 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = a(z,u,K(w,L(v5,x,y))). [hyper(240,a,14500,a,b,16608,a)]. 16611 (x * y) * a(z,u,K(w,L(v5,x,y))) = (x * a(z,u,K(w,v5))) * y. [para(16609(a,1),14(a,1,2))]. 16612 K(x,a(y,z,u)) * (x * (K(u,y) * z)) = (x * T(z,K(y,u))) * K(u,y). [para(6988(a,1),16299(a,1,2,2))]. 16614 T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(y,u))) * K(u,y). [hyper(5240,a,16612,a)]. 16615 T(x,a(y,z,u)) * (K(u,y) * z) = (x * T(z,K(u,y))) * K(u,y). [para(7560(a,1),16614(a,2,1,2))]. 16616 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(8003(a,1),16539(a,2,2))]. 16617 T(x,K(y,L(z \ 1,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(240,a,14572,a(flip),b,16616,a)]. 16618 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(16528,a,16617,a)]. 16619 L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,L(v5,u,w))). [para(6470(a,1),16257(a,1,3,1))]. 16620 K(x \ (y \ z),x * y) * K(x,K(y,x \ z)) = K((x * y) \ z,y * x). [para(7555(a,1),16266(a,1,2))]. 16621 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K((x * y) \ z,y * x). [para(7643(a,1),16620(a,1,2))]. 16622 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),y * x). [hyper(240,a,13762,a(flip),b,16621,a)]. 16623 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(7094(a,1),16292(a,1,2,2,1))]. 16624 K(x,K(y \ (z * u),z \ y) * w) = K(x,T(z \ y,u) * ((z \ y) \ w)). [hyper(240,a,16607,a(flip),b,16464,a(flip))]. 16625 K(x,K(y \ (z * u),z \ y) * w) = K(x,K(z \ y,u) * w). [para(4780(a,1),16624(a,2,2))]. 16626 K(x,y * K(z \ (u * w),u \ z)) = K(x,K(u \ z,w) * y). [hyper(14910,a,16625,a)]. 16627 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,z * (K(u,w) * y)). [para(15526(a,1),16579(a,1,2))]. 16628 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(u,w) * (z * y)). [hyper(16447,a,16627,a(flip)),flip(a)]. 16630 K(x,K(y,z)) * K(x,y * (z * K(u,w))) = K(x,K(u,w) * (z * y)). [hyper(14894,a,16628,a)]. 16631 K(x,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. [para(16628(a,2),16439(a,1))]. 16632 K(x,K(y,z * u)) * K(x,y * (z * (u * K(w,v5)))) = K(x,K(w,v5) * ((z * u) * y)). [para(16412(a,1),16630(a,1,2))]. 16633 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(14988,a,16599,a),flip(a)]. 16634 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(240,a,15620,a,b,16633,a(flip)),flip(a)]. 16635 x * (a(y,z,K(u,w)) * v5) = x * (a(w,z,K(y,u)) * v5). [hyper(16068,a,16184,a)]. 16636 (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(16635(a,1),24(a,2,1)),flip(a)]. 16638 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(14026,a,16198,a),flip(a)]. 16640 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(6988(a,1),16638(a,1,1))]. 16641 R(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [hyper(438,a,16640,a),flip(a)]. 16642 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,10049,a(flip),b,16641,a(flip)),flip(a)]. 16643 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(16641(a,1),7031(a,1,1))]. 16644 L(R(x,y,z),y * z,K(u,z \ 1)) = R(x,y,z * K(u,z \ 1)). [hyper(11470,a,16642,a),flip(a)]. 16646 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(y,z) \ u)) / u. [hyper(240,a,10117,a(flip),b,16642,a(flip))]. 16649 L(x / y,y,K(z \ x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [hyper(240,a,497,a(flip),b,16642,a(flip))]. 16650 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(16642(a,1),118(a,1,1))]. 16651 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(16642(a,1),468(a,1,1))]. 16655 L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(16642(a,1),5145(a,1,1))]. 16656 L(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(16642(a,1),6409(a,1))]. 16657 L(x * (y * z),a(x,y,z),K(y,T(x,z))) \ ((y * x) * z) = a(x,y,z) * (((x * y) * z) \ ((y * x) * z)). [para(16642(a,1),10123(a,1,1))]. 16658 R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). [para(13530(a,2),16642(a,1,3))]. 16659 R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). [para(13530(a,2),16658(a,2,3))]. 16661 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). [para(16643(a,1),13963(a,1,2))]. 16662 L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). [para(3197(a,1),16651(a,1,2))]. 16663 L(x,x \ (y \ z),K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(7311(a,2),16651(a,1,2))]. 16665 L(x / y,y,K(x,z)) = ((z \ x) * z) / (y * K(z \ x,z)). [hyper(240,a,13009,a(flip),b,16649,a(flip)),flip(a)]. 16666 ((x \ y) * x) / (z * K(x \ y,x)) = y / z. [hyper(240,a,13512,a(flip),b,16665,a(flip))]. 16668 (x * y) / (z * K(y \ (y * x),y)) = (y * x) / z. [para(13(a,1),16666(a,1,1,1))]. 16670 (x * y) / (z * K(x,y)) = (y * x) / z. [para(13(a,1),16668(a,1,2,2,1))]. 16672 (x * y) / (z \ T(x,y)) = (y * x) / (z \ x). [para(14083(a,1),16670(a,1,2))]. 16673 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. [para(5183(a,1),16646(a,2,1,2,2))]. 16674 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,K(z,y) * u))) / u. [para(6964(a,2),16673(a,2,1,2))]. 16675 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,u))) / u. [para(6813(a,1),16674(a,2,1,2,2))]. 16676 L(x / (K(y,z) * u),K(z,y) \ u,K(z,y)) = (x * K(z,T(y,u))) / u. [para(5183(a,1),16675(a,1,1,2))]. 16680 K(x,a(y,z,a(u,w,v5))) * (a(x,z,u) * (K(v5,y) * w)) = (K(v5,y) * a(x,z,u)) * w. [para(13936(a,1),16231(a,1,1))]. 16681 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,K(z,w) * ((z * u) * y)). [para(15419(a,1),16632(a,1,2))]. 16682 K(x,K(y,z) * ((y * u) * w)) = K(x,(T(y,z) * u) * w). [hyper(240,a,15538,a(flip),b,16681,a(flip))]. 16683 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [hyper(16448,a,16682,a)]. 16684 K(x,(y * (K(z,y) * u)) * w) = K(x,(T(y,z) * u) * w). [hyper(240,a,16578,a,b,16683,a(flip)),flip(a)]. 16685 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(4872(a,1),16684(a,1,2,1)),flip(a)]. 16686 K(x,(T(y \ z,y) * u) * w) = K(x,((z / y) * u) * w). [para(5380(a,1),16684(a,1,2,1)),flip(a)]. 16687 K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). [hyper(240,a,13587,a(flip),b,16685,a)]. 16688 K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). [para(124(a,1),16685(a,1,2,1,1))]. 16689 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [hyper(13799,a,16687,a)]. 16690 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(124(a,1),16689(a,1,2,1,1))]. 16691 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(15611,a,16688,a),flip(a)]. 16692 K(x,T(y,z * y) * u) = K(x,(((z \ 1) \ y) * (z \ 1)) * u). [para(4256(a,2),16691(a,1,2,1)),flip(a)]. 16693 K(x,(((y \ 1) \ z) * (y \ 1)) / u) = K(x,(z * K(y \ 1,y * z)) / u). [para(9021(a,1),16690(a,2,2,1))]. 16694 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,(T(z \ u,z) * w) * y). [hyper(240,a,15548,a,b,16686,a),flip(a)]. 16695 K(x,T(y,z \ 1) * u) = K(x,T(y,z * y) * u). [hyper(240,a,15610,a(flip),b,16692,a),flip(a)]. 16696 K(x,T(y,z \ 1) * u) = K(x,T(y,y * z) * u). [para(4192(a,1),16695(a,2,2,1))]. 16697 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(240,a,12722,a(flip),b,16696,a)]. 16698 K(x,(y * K(z \ 1,z * y)) / u) = K(x,T(y,z \ 1) / u). [hyper(15353,a,16693,a),flip(a)]. 16699 K(x,y * (z \ K(u \ 1,u * y))) = K(x,T(y,u \ 1) / z). [hyper(240,a,16582,a(flip),b,16698,a(flip)),flip(a)]. 16700 K(x,y * (z \ K(u,u * y))) = K(x,T(y,u \ 1) / z). [hyper(240,a,16522,a(flip),b,16699,a(flip)),flip(a)]. 16701 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u \ 1) / z). [para(6682(a,2),16700(a,1,2,2,2))]. 16702 T(a(x,y,z),a(u,w,v5)) * (K(v5,u) * w) = (K(v5,u) * a(x,y,z)) * w. [hyper(240,a,13912,a(flip),b,16680,a(flip)),flip(a)]. 16703 (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (K(w,v5) * a(x,y,z)) * u. [hyper(240,a,16615,a(flip),b,16702,a(flip)),flip(a)]. 16704 (a(x,y,z) * u) * K(w,T(v5,u)) = (K(w,v5) * a(x,y,z)) * u. [hyper(240,a,10848,a(flip),b,16703,a(flip)),flip(a)]. 16705 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). [hyper(17,a,15538,a,b,16694,a),flip(a)]. 16706 K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). [para(13(a,1),16705(a,1,2,2,1,1)),flip(a)]. 16707 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(16(a,1),16706(a,1,2,2)),flip(a)]. 16708 K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). [para(5371(a,1),16706(a,1,2,2))]. 16709 K(x,y * (z * (K(u,z) * (w / z)))) = K(x,y * ((T(z,u) \ w) * z)). [para(7257(a,1),16707(a,1,2,2,1)),flip(a)]. 16710 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). [para(8260(a,1),16707(a,1,2,2,1))]. 16711 K(x,y * ((z \ u) * (z * K(w,z)))) = K(x,y * (z * (u / T(z,w)))). [para(10826(a,1),16707(a,1,2,2))]. 16712 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(14459(a,1),16707(a,2,2,2))]. 16713 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(16707(a,1),15626(a,1,1,2))]. 16714 K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (T(z,u) * (w / z))). [hyper(240,a,16708,a(flip),b,16709,a(flip))]. 16715 K(x,y * (K(z,u) * T(w,u))) = K(x,y * (u * (w / T(u,z)))). [hyper(240,a,16520,a(flip),b,16711,a(flip)),flip(a)]. 16716 K(x,y * T(K(z,u) * w,u)) = K(x,y * (u * (w / T(u,z)))). [para(6875(a,2),16715(a,1,2,2))]. 16717 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * T(K(u,z) * w,z)). [hyper(240,a,16710,a,b,16716,a),flip(a)]. 16718 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * T(K(u,z) * w,z)). [hyper(240,a,16714,a(flip),b,16717,a(flip)),flip(a)]. 16719 x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). [para(11276(a,1),16031(a,1,2,2,1))]. 16721 x \ (K(y,K(z,u * x)) * (w / ((x * (T(u,x) * K(y,z))) \ w))) = T(K(y,z) * u,x). [para(16074(a,1),16719(a,1,2))]. 16722 x \ (K(y,K(z,u * x)) * (x * (T(u,x) * K(y,z)))) = T(K(y,z) * u,x). [para(62(a,1),16721(a,1,2,2))]. 16723 x \ (x * (T(y,x) * K(z,T(u,y * x)))) = T(K(z,u) * y,x). [para(16264(a,1),16722(a,1,2))]. 16724 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [hyper(242,a,16723,a)]. 16726 T(x,(y \ z) \ 1) \ T(K(u,w) * x,z \ y) = K(u,T(w,x * ((y \ z) \ 1))). [hyper(73,a,6086,a(flip),b,16724,a)]. 16728 T(x,y) \ T(K(z,u) * x,y) != w | K(z,T(u,x * y)) = w. [para(16724(a,1),241(a,1,2)),flip(b)]. 16729 T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). [para(14932(a,1),16724(a,1,2))]. 16731 (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(75,a,4513,a(flip),b,16729,a)]. 16735 T(x,y \ z) \ T(K(u,w) * x,y \ z) = K(u,T(w,x * ((z \ y) \ 1))). [para(6086(a,1),16726(a,1,1))]. 16736 K(x,T(y,z * ((u \ w) \ 1))) = K(x,T(y,z * (w \ u))). [hyper(16728,a,16735,a),flip(a)]. 16737 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w * (u \ z))). [hyper(15157,a,16736,a)]. 16738 K(x,T(y,z \ (u \ w))) = K(x,T(y,z * (w \ u))). [hyper(8085,a,16737,a)]. 16739 K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). [hyper(240,a,15476,a(flip),b,16737,a(flip)),flip(a)]. 16742 T(T(x,y),K(z,u)) / K(z,T(u,y * (x / K(z,u)))) = T(x / K(z,u),y). [para(7875(a,1),16731(a,1,1))]. 16743 T(T(x,y),K(z,u)) / K(z,T(u,y * (x * K(u,z)))) = T(x / K(z,u),y). [para(7094(a,1),16742(a,1,2,2,2,2))]. 16744 T(T(x,y),K(z,u)) / K(z,T(u,y * x)) = T(x / K(z,u),y). [para(7696(a,1),16743(a,1,2,2))]. 16745 T(T(x,y),K(z,u)) * K(u,T(z,y * x)) = T(x / K(z,u),y). [hyper(7250,a,16744,a)]. 16748 K(x,T(y,z * u)) * T(u,z) = T(u / K(y,x),z). [hyper(15021,a,16745,a)]. 16749 K(x,T(y,z * u)) * T(u,z) = T(u * K(x,y),z). [para(7094(a,1),16748(a,2,1))]. 16750 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(14833(a,1),16749(a,1,1)),flip(a)]. 16751 T(x,T(y * K(z,u),w)) = T(x,K(z,u) * T(y,w)). [para(16749(a,1),15215(a,1,2))]. 16752 T(K(x,y) * K(z,K(u,w)),v5) = K(z,K(u,w)) * K(x,T(y,v5)). [hyper(240,a,6985,a,b,16750,a)]. 16753 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(240,a,14862,a(flip),b,16750,a)]. 16755 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [para(14862(a,2),16750(a,1,1))]. 16756 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). [para(16750(a,2),16245(a,1,1))]. 16757 T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [hyper(240,a,14875,a(flip),b,16751,a)]. 16758 K(x,K(y,z)) \ T(u,w) = T(K(x,K(y,z)) \ u,w). [hyper(4548,a,16753,a)]. 16759 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(16753(a,2),7529(a,1,1))]. 16760 T(x * K(y,K(z,u)),w) \ v5 = K(y,K(z,u)) * (T(x,w) \ v5). [para(16753(a,2),16283(a,1,1))]. 16761 a(K(x,K(y,z)) * T(u,w),T(w,u),v5) = a(K(x,K(y,z)) * u,w,v5). [para(16755(a,1),15213(a,1,1))]. 16762 T(x,T(y,z * u) * K(z,u)) = T(x,(z * u) * (y / (u * z))). [hyper(10310,a,16757,a),flip(a)]. 16763 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [hyper(240,a,15669,a(flip),b,16758,a)]. 16764 T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u) = K(x \ (y * T(z,u)),x / y). [hyper(240,a,15675,a(flip),b,16752,a)]. 16765 T(x,y) * (z * K(x,K(u,w))) = T(T(x,K(u,w)),y) * z. [para(4800(a,2),16756(a,1,1,1)),flip(a)]. 16766 T(T(x,K(y,z)),z) * (y / x) = T(T(x,z),x \ y) * (x \ y). [hyper(240,a,8874,a(flip),b,16765,a(flip))]. 16767 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(15033(a,1),16759(a,1,1,1))]. 16768 T(x,((y * z) \ u) * (z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(15779,a,16762,a)]. 16769 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [hyper(240,a,15725,a(flip),b,16763,a(flip)),flip(a)]. 16770 T(T(x,y),x \ z) * (x \ z) = T(x,T(y,z)) * (z / x). [para(7575(a,1),16766(a,1,1)),flip(a)]. 16771 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * ((z \ w) * T(z,u))). [para(16770(a,1),16707(a,1,2,2))]. 16772 T(x,((y * z) \ u) * (z * y)) = T(x,K(y,z) * T(u,z * y)). [hyper(240,a,15637,a,b,16768,a)]. 16773 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [hyper(240,a,15717,a(flip),b,16769,a(flip)),flip(a)]. 16774 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(16772(a,1),15721(a,1,1,2,2))]. 16775 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7560(a,1),16773(a,2,2))]. 16776 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(16775(a,1),16623(a,1,2,2))]. 16777 a(K(x,K(y,z)) * T(u * w,v5),T(v5,u * w),v6) = a(u * (K(x,K(y,z)) * w),v5,v6). [para(16211(a,1),16761(a,2,1))]. 16778 K(x,y * T(K(z,u) * w,u)) = K(x,y * ((u \ w) * T(u,z))). [hyper(240,a,16718,a(flip),b,16771,a(flip)),flip(a)]. 16779 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [hyper(240,a,16290,a(flip),b,16776,a(flip))]. 16781 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),16779(a,2,2,2))]. 16782 K(x,y \ T(z,K(u,w) \ v5)) = K(x,y \ T(z,v5)). [hyper(240,a,15250,a(flip),b,16781,a(flip)),flip(a)]. 16783 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(5051(a,1),16782(a,1,2,2,2))]. 16784 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [hyper(12821,a,16783,a),flip(a)]. 16785 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(3924(a,1),16784(a,2,2,2))]. 16786 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(7113,a,16767,a),flip(a)]. 16787 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(6964(a,2),16786(a,1,2))]. 16788 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7250,a,16787,a),flip(a)]. 16789 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(240,a,11224,a,b,16788,a(flip)),flip(a)]. 16790 K(x \ (y * T(z,u)),x / y) = T(K(x \ (y * z),x / y),u). [para(10545(a,1),16764(a,1,1)),flip(a)]. 16791 K(x \ (y * T(z,u)),x / y) != w | K(x \ (y * z),T(x / y,u)) = w. [para(16790(a,2),7299(a,1))]. 16792 K(x \ (y * z),T(z \ x,u)) != w | K(x \ (z * y),T(x / z,u)) = w. [para(14754(a,1),16791(a,1))]. 16793 a(K(x,K(y,z)) * (u * w),v5,v6) = a(u * (K(x,K(y,z)) * w),v5,v6). [hyper(240,a,16761,a(flip),b,16777,a(flip)),flip(a)]. 16794 ((x * (K(y,K(z,u)) * w)) * (v5 * v6)) \ (((x * (K(y,K(z,u)) * w)) * v5) * v6) = a(K(y,K(z,u)) * (x * w),v5,v6). [hyper(240,a,24,a(flip),b,16793,a),flip(a)]. 16795 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(6938(a,1),16789(a,1,2,1))]. 16796 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(15173(a,1),16795(a,1,2,1))]. 16797 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5193,a,16796,a),flip(a)]. 16798 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(240,a,14983,a(flip),b,16797,a(flip)),flip(a)]. 16800 T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(240,a,16618,a(flip),b,16534,a(flip)),flip(a)]. 16801 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,T(R(1 / z,z,y),z * y) * u). [hyper(15313,a,16800,a)]. 16802 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ (1 * y)) * u). [para(492(a,1),16801(a,2,2,1))]. 16803 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ y) * u). [para(11(a,1),16802(a,2,2,1,2))]. 16804 T(x,K(y,z) * ((z / (y * z)) * u)) = T(x,((y * z) \ z) * u). [hyper(14645,a,16803,a)]. 16805 T(x,(y / (y * z)) * u) = T(x,((z * y) \ y) * u). [hyper(240,a,16535,a(flip),b,16804,a(flip)),flip(a)]. 16806 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7574(a,1),16381(a,1,1))]. 16808 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(7648(a,1),16806(a,2,2))]. 16809 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(240,a,6991,a(flip),b,16808,a)]. 16811 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(13603(a,1),16809(a,1,2))]. 16812 K((T(K(x,y) * z,T(z,u)) \ w) * v5,v6) = K(((K(x,y) * z) \ w) * v5,v6). [hyper(15270,a,16482,a),flip(a)]. 16814 K(((K(x,y) * z) \ u) * w,v5) = K(((z * K(x,y)) \ u) * w,v5). [para(15331(a,1),16812(a,1,1,1,1)),flip(a)]. 16815 K(x * ((y * K(z,u)) \ w),T(v5,(y * K(z,u)) \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(240,a,10330,a,b,16814,a),flip(a)]. 16816 K(((K(x,y) * (z * x)) \ u) * w,v5) = K(((z * T(x,y)) \ u) * w,v5). [para(5929(a,1),16814(a,2,1,1,1))]. 16817 K(((K(x \ y,x) * (z * x)) \ u) * w,v5) = K(((z * (y / (y / x))) \ u) * w,v5). [para(10806(a,1),16814(a,2,1,1,1))]. 16818 K(x,a(y,z,u) \ w) * (w * x) != v5 | w * T(x,a(y,z,u) \ w) = v5. [para(16505(a,2),541(a,1))]. 16819 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),16596(a,1,2,1,2))]. 16820 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(15271,a,16634,a)]. 16821 ((K(x,y) * z) * u) \ (K(x,y) * (z * u)) = a(u,z,K(x,y)). [hyper(16204,a,16661,a),flip(a)]. 16822 ((K(x,y) * z) * u) * a(u,z,K(x,y)) != w * v5 | w \ (K(x,y) * (z * u)) = v5. [para(16821(a,1),376(a,1,2))]. 16823 (K(x,y) * z) \ (K(x,y) * (z * u)) = T(u,a(y,z,x)). [hyper(16822,a,13641,a)]. 16824 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(449,a,16823,a)]. 16825 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(16823(a,1),449(a,1))]. 16827 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(240,a,13714,a,b,16824,a),flip(a)]. 16828 a(x,y,K(z,u)) * x = L(x,y,K(z,u)). [hyper(240,a,13640,a,b,16824,a),flip(a)]. 16829 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,13639,a,b,16824,a),flip(a)]. 16830 T(x * (a(y,z,u) \ 1),x) = L(x * (a(y,z,u) \ 1),z,K(u,y)). [hyper(240,a,14565,a(flip),b,16824,a),flip(a)]. 16831 L(x,y * z,K(y,u)) = T(x,a(u,z,y)). [hyper(240,a,13931,a(flip),b,16824,a)]. 16832 L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. [hyper(240,a,124,a(flip),b,16824,a)]. 16833 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(73,a,16824,a,b,13639,a)]. 16834 T(x,x * a(y,z,u)) = L(x,z,K(u,y)). [hyper(13344,a,16824,a(flip))]. 16835 a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z). [para(16824(a,2),122(a,1,2))]. 16836 L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. [para(16824(a,2),387(a,1))]. 16837 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(16824(a,2),14102(a,2,2))]. 16838 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(16824(a,1),15362(a,1,1,2,2))]. 16839 K(L(x,y,K(z,u)) \ w,v5) = K(x \ w,v5). [para(16824(a,2),16397(a,1,1,1))]. 16840 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(16294,a,16827,a)]. 16841 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(16157,a,16827,a)]. 16842 a(x,y,K(z,u)) * u = L(u,y,K(x,z)). [hyper(16120,a,16827,a)]. 16843 T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). [hyper(240,a,13410,a,b,16827,a(flip)),flip(a)]. 16845 L(x,y,K(z,u * x)) = x * a(z,y,K(u,x)). [para(11424(a,1),16827(a,1,2)),flip(a)]. 16846 T(L(x,y,K(z,u)),u) = T(x,L(u,y,z)). [para(16827(a,1),11766(a,1,1))]. 16847 (x \ y) * a(y,z,K(u,x)) = L(x \ y,z,K(u,x)). [para(13610(a,1),16827(a,1,2))]. 16848 L(x,y,K(y \ 1,z)) != u | u = x. [para(16827(a,1),13617(a,1))]. 16849 L(x,y * z,K(z,u)) = x * a(z,y,K(u,x)). [para(13770(a,1),16827(a,1,2)),flip(a)]. 16850 L(x,y * z,K(u,y)) = x * a(u,z,K(y,x)). [para(13923(a,1),16827(a,1,2)),flip(a)]. 16851 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(16827(a,1),16387(a,1,2,2))]. 16853 x * a(x,y,K(z,u)) = R(x,y,K(z,u)). [hyper(240,a,16642,a,b,16829,a)]. 16855 L(x,x \ y,K(z,u)) = x * a(x,y,K(z,u)). [para(13917(a,1),16829(a,1,2)),flip(a)]. 16856 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [hyper(240,a,16824,a,b,16831,a)]. 16857 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(16833(a,1),224(a,1,2)),flip(b)]. 16858 (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = T(a(x,y,z),L(u,z,x * y)). [para(16840(a,1),13536(a,1,2,2))]. 16860 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [para(16841(a,1),13160(a,1,1)),flip(a)]. 16861 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(16841(a,1),13493(a,1))]. 16862 a(R(x,y,z),u,K(w,v5)) * w = L(w,u,K(v5,L(x,y,z))). [para(14442(a,1),16841(a,2,3))]. 16863 a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). [para(16841(a,1),16605(a,2,2))]. 16864 a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). [para(16843(a,1),13345(a,1,2))]. 16865 L(x \ y,z,K(u,x)) = T(y / x,L(x,z,u)). [hyper(799,a,16846,a)]. 16866 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(240,a,40,a,b,16846,a(flip)),flip(a)]. 16867 L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). [para(16846(a,1),122(a,1,2)),flip(a)]. 16868 T(x,L(x \ 1,y,z)) = T(x,x \ 1). [para(12784(a,1),16846(a,1,1)),flip(a)]. 16870 L(x \ 1,y,z) * (T(x,x \ 1) * u) = L(1 / x,y,z) * (x * u). [para(16868(a,1),5567(a,1,2,1))]. 16871 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [para(16856(a,1),6389(a,1,1))]. 16872 T(x,L(y \ R(y,z,u),w,y)) = L(T(x,y \ R(y,z,u)),w,1). [para(3663(a,1),16866(a,1,3)),flip(a)]. 16873 L(a(x,y,z),u,K(w,y)) = T(a(x,y,z),L(y,u,w)). [para(13537(a,1),16866(a,1,1))]. 16874 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(16866(a,1),16095(a,1,2))]. 16875 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(16866(a,1),16115(a,1,2))]. 16876 K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. [para(16866(a,1),16122(a,1,2))]. 16880 K(x,T(y,(z / u) / w)) = K(x,T(y,z / (w * u))). [para(14439(a,1),16874(a,1,2)),flip(a)]. 16881 T(x,T(y,(z * u) \ w)) = T(x,T(y,u \ (z \ w))). [para(235(a,1),16875(a,1,2,2))]. 16882 x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. [para(13714(a,2),16825(a,1))]. 16883 T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(13785(a,2),16825(a,1))]. 16884 T(x,L(y \ R(y,z,u),y,z * u)) != w | L(x,z,K(u,y)) = w. [para(14526(a,1),16825(a,1,2))]. 16885 T(x * (a(y,z,u) \ 1),x) != w | L(x * (a(y,z,u) \ 1),z,K(u,y)) = w. [para(14565(a,1),16825(a,1))]. 16886 L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. [para(16831(a,2),16825(a,1))]. 16887 K(x \ (y * K(z,u)),w) = K((x \ y) * K(z,u),w). [para(16651(a,1),16839(a,1,1)),flip(a)]. 16888 K(x,y * ((z * K(u,T(w,v5))) / v5)) = K(x,y * (z / (K(w,u) * v5))). [para(16676(a,1),16851(a,1,2,2))]. 16889 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(16866(a,1),16851(a,1,2,2))]. 16890 L(x,y,K(z,u * x)) = L(x,y,K(z,u)). [hyper(240,a,16827,a(flip),b,16845,a)]. 16891 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u * L(x,y,z))). [hyper(6388,a,16890,a),flip(a)]. 16892 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u \ x)). [para(13684(a,1),16890(a,1,3)),flip(a)]. 16893 L(x,y * z,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,16827,a(flip),b,16849,a)]. 16894 L(R(x,y,z),y,K(z,u)) = R(x,y,T(z,u)). [hyper(16656,a,16893,a),flip(a)]. 16896 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(240,a,16827,a(flip),b,16850,a)]. 16897 L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(240,a,6561,a(flip),b,16896,a(flip))]. 16898 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [para(14(a,1),16896(a,1,2)),flip(a)]. 16899 L(x,(y * z) * u,K(w,R(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). [para(118(a,1),16896(a,1,2))]. 16900 L(x,y \ z,K(u,y)) = T(x,a(y,z,u)). [hyper(240,a,16824,a(flip),b,16898,a)]. 16901 T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). [hyper(16861,a,16900,a)]. 16902 T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). [hyper(240,a,13967,a(flip),b,16901,a(flip)),flip(a)]. 16903 L(x,x \ y,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,16829,a(flip),b,16855,a)]. 16904 L(x,x \ T(y,z),K(u,y)) = x. [hyper(240,a,6489,a(flip),b,16903,a)]. 16906 L(x,T(y,x),K(z,u)) = L(x,y * x,K(z,u)). [para(32(a,2),16903(a,1,2))]. 16908 (K(x,y) * z) / L(u,z,K(x,y)) = K(x,y) * (z / u). [para(16903(a,1),10133(a,1,2))]. 16909 L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(16903(a,1),16655(a,1,1))]. 16910 L(x,y \ z,K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(16903(a,1),16663(a,1,1))]. 16911 (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). [para(16904(a,1),10133(a,1,2))]. 16912 x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). [para(16904(a,1),16662(a,1,1))]. 16914 L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(16865(a,2),231(a,1,2))]. 16915 (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(16867(a,1),10163(a,1,2,1))]. 16916 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. [para(235(a,1),16876(a,1,2,2))]. 16917 L(x,y * x,K(z,u)) = L(x,y,K(z,u)). [hyper(240,a,10128,a(flip),b,16906,a(flip))]. 16919 a(x,y,K(z,u)) * z != w | L(z,y,K(u,x)) = w. [para(16152(a,2),16857(a,1))]. 16920 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(16853(a,1),16857(a,1))]. 16921 a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). [para(16864(a,1),14(a,1,2))]. 16923 x / a(y,z,x) = a(y,z,x) \ x. [para(7059(a,1),16864(a,1,2)),flip(a)]. 16924 (a(x,y,z) \ z) * a(x,y,z) = z. [para(16923(a,1),16(a,1,1))]. 16925 (a(x,y,z) \ z) \ z = a(x,y,z). [para(16923(a,1),65(a,1,1))]. 16926 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ ((a(x,y,z) \ z) * u). [para(16924(a,1),108(a,2,1))]. 16927 (x \ 1) * a(x,y,K(z,u)) != w | L(x \ 1,y,K(u,z)) = w. [para(13604(a,1),16882(a,1,2))]. 16928 K(x,y * T((z \ 1) * u,u)) = K(x,y * (L(u,z \ 1,z) / z)). [hyper(240,a,16454,a(flip),b,16889,a(flip))]. 16929 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(454(a,1),16889(a,1,2,2,2)),flip(a)]. 16930 L(L(x,y,z),y,K(u,z)) = L(x,y,z * K(z \ u,z)). [hyper(240,a,13009,a(flip),b,16897,a(flip)),flip(a)]. 16931 (x / a(y,z,u)) \ L(x,z,K(y,u)) = T(a(y,z,u),a(y,z,u) \ x). [hyper(73,a,16921,a(flip),b,3946,a)]. 16932 K(x / a(y,z,u),a(y,z,u)) = L(x,z,K(y,u)) \ x. [para(16921(a,1),102(a,1,1)),flip(a)]. 16933 (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). [hyper(16295,a,16837,a)]. 16934 (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). [hyper(16294,a,16837,a)]. 16935 a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). [hyper(16157,a,16837,a)]. 16936 L(x \ y,z,K(u,x)) = x \ L(y,z,K(u,x)). [hyper(240,a,16837,a(flip),b,16847,a(flip))]. 16937 x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). [para(32(a,2),16936(a,1,1)),flip(a)]. 16938 a(x,y,K(z,u)) * (x * w) = L(x,y,K(z,u)) * w. [hyper(13852,a,16860,a)]. 16939 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(73,a,7179,a(flip),b,16863,a)]. 16940 (a(x,y,K(z,u)) * (w * (v5 * z))) \ ((w * v5) * L(z,y,K(u,x))) = L(a(w,v5,z),w * (v5 * z),a(x,y,K(z,u))). [para(16863(a,1),460(a,1,2))]. 16941 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(13563(a,1),16863(a,1,1))]. 16942 L(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. [para(16873(a,2),13556(a,1))]. 16943 K(x,T(y,z / (u * w))) = K(x,T(y,u \ (z / w))). [hyper(15107,a,16880,a),flip(a)]. 16944 K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). [hyper(240,a,14915,a,b,16887,a)]. 16945 K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). [hyper(240,a,15246,a,b,16887,a(flip)),flip(a)]. 16946 K((x \ (y * z)) * K(z,u),w) = K(x \ (y * T(z,u)),w). [para(5929(a,1),16887(a,1,1,2)),flip(a)]. 16947 K((x \ (y * (z \ u))) * K(z,z \ u),w) = K(x \ (y * (u / z)),w). [para(7092(a,1),16887(a,1,1,2)),flip(a)]. 16948 x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). [para(13(a,1),16933(a,1,1)),flip(a)]. 16949 (x / y) \ L(x,z,K(u,w)) != v5 | y * a(u,z,K(w,x)) = v5. [para(16934(a,1),585(a,1))]. 16951 a(x,y,K(z,L(u,w,K(v5,v6)))) * a(u,w,K(v5,v6)) = u \ L(L(u,w,K(v5,v6)),y,K(x,z)). [para(16833(a,1),16935(a,1,2))]. 16952 x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). [hyper(240,a,16866,a(flip),b,16937,a)]. 16953 L(x * y,z,K(u,y)) = y * T(x,L(y,z,u)). [para(16952(a,1),14(a,1,2)),flip(a)]. 16954 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [hyper(16186,a,16938,a)]. 16955 L(x,y,K(z,u)) \ L(x,w,K(v5,v6)) = a(u,y,K(z,x)) * a(x,w,K(v5,v6)). [para(16954(a,1),16837(a,1,1)),flip(a)]. 16956 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(310,a,16941,a)]. 16957 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,(z * w) \ u)) = v5. [para(16943(a,1),15107(a,1))]. 16958 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(240,a,15246,a,b,16944,a(flip)),flip(a)]. 16959 K(K(x,y) * (z \ u),T(w,u)) != v5 | K((u * K(x,y)) / z,w) = v5. [para(16944(a,1),15450(a,1))]. 16960 K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). [hyper(16144,a,16945,a)]. 16961 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(240,a,16345,a,b,16945,a(flip)),flip(a)]. 16962 K(K(x,y) * (z \ (x * u)),w) = K(z \ (T(x,y) * u),w). [para(4815(a,1),16958(a,1,1,2)),flip(a)]. 16964 K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). [hyper(14206,a,16960,a),flip(a)]. 16965 K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). [hyper(240,a,15065,a,b,16960,a)]. 16966 K((K(x,L(y,z,u)) * w) \ v5,v6) = K(K(y,x) * (w \ v5),v6). [hyper(240,a,16465,a(flip),b,16960,a)]. 16968 K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). [hyper(240,a,15065,a,b,16961,a)]. 16970 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(5929(a,1),16961(a,1,1,1)),flip(a)]. 16971 K((x * ((y * z) / y)) \ u,w) = K(((x * z) \ u) * K(z,y),w). [para(10807(a,1),16961(a,1,1,1))]. 16972 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(13577(a,1),16961(a,1,1,1)),flip(a)]. 16973 K(((1 / x) \ y) * K(z,u),w) != v5 | K(((x \ 1) * K(u,z)) \ y,w) = v5. [para(16961(a,1),15113(a,1))]. 16974 K(K(x,y) * ((x * z) \ u),w) = K((T(x,y) * z) \ u,w). [para(4815(a,1),16965(a,1,1,1)),flip(a)]. 16975 K(K(x,y) * ((x / z) \ u),w) = K((T(x,y) / z) \ u,w). [para(13510(a,1),16965(a,1,1,1)),flip(a)]. 16976 K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. [para(16965(a,2),15069(a,1))]. 16978 K(K(x,x \ y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). [para(10105(a,1),16968(a,1,1,1)),flip(a)]. 16979 T(x,y \ (((z * y) \ z) \ 1)) = x. [hyper(240,a,13646,a(flip),b,16902,a)]. 16980 (x \ (((y * x) \ y) \ 1)) * z = z * (x \ (((y * x) \ y) \ 1)). [hyper(2125,a,16979,a),flip(a)]. 16982 T(x,(y \ z) \ ((z \ y) \ 1)) = x. [para(14(a,1),16979(a,1,2,2,1,1))]. 16983 (x \ (1 / ((y * x) \ y))) * z = z * (x \ (1 / ((y * x) \ y))). [para(16979(a,1),4458(a,1,2))]. 16984 x * ((y \ 1) / ((y * ((z * y) \ z)) * (y \ 1))) = (y \ (L(1 / y,y,z) \ 1)) * x. [para(16979(a,1),14366(a,1,2)),flip(a)]. 16985 (x \ (((y \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. [para(16982(a,1),13968(a,1,2))]. 16986 (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). [para(4774(a,1),16908(a,1,1))]. 16987 K(x / a(y,z,u),a(y,z,u)) = a(u,z,K(y,x)). [hyper(240,a,16954,a(flip),b,16932,a)]. 16988 K(a(x,y,z) \ u,a(x,y,z)) = a(z,y,K(x,u)). [hyper(16236,a,16987,a)]. 16989 K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). [hyper(13351,a,16988,a)]. 16990 (x / a(y,z,u)) \ (w * (a(y,z,u) \ x)) = T(a(u,z,K(y,x)) * w,a(y,z,u) \ x). [para(16988(a,1),6871(a,1,1,1)),flip(a)]. 16991 x * (a(y,z,K(u,x)) * (a(u,z,y) \ 1)) = T(x * (a(u,z,y) \ 1),x). [para(16989(a,1),8475(a,1,2,1))]. 16992 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(16989(a,1),13414(a,1,1))]. 16993 L(x / a(a(y,z,u),w,v5),v5,K(w,a(y,z,u))) != v6 | a(a(y,z,u),v5,w) \ x = v6. [para(47(a,1),16836(a,1,1,2))]. 16994 a(R(x,y,z),u,K(w,v5)) = a(L(x,y,z),u,K(w,v5)). [hyper(18,a,16841,a,b,16862,a)]. 16995 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(15168,a,16946,a)]. 16996 K((x \ (y * z)) * K(u,z),w) = K(x \ (y * T(z,u)),w). [hyper(14615,a,16946,a)]. 16997 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * T(y * T(z,v5),x)),v6). [hyper(240,a,15694,a(flip),b,16946,a(flip)),flip(a)]. 16998 x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). [para(16948(a,1),14(a,1,2))]. 16999 a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). [para(11325(a,1),16956(a,1,1))]. 17000 K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). [hyper(14933,a,16970,a)]. 17001 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(14615,a,16970,a)]. 17002 K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). [hyper(240,a,16964,a(flip),b,16972,a(flip))]. 17003 K((x \ K(y,z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(240,a,16455,a(flip),b,17002,a)]. 17004 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [para(9603(a,1),16974(a,1,1)),flip(a)]. 17005 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(17004(a,1),6889(a,1,2))]. 17006 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),16975(a,2,1,1,1))]. 17007 (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(16998(a,1),10163(a,1,2,1))]. 17008 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),z)). [para(10330(a,1),16998(a,1,2,2,3))]. 17009 x * L(x \ y,y,K(z,u)) = y * a(u,x,K(x \ y,z)). [hyper(16181,a,16999,a),flip(a)]. 17010 x * L(x \ y,y,K(x \ z,u)) = y * a(u,z,K(z \ x,x \ y)). [para(11438(a,2),17009(a,2,2))]. 17011 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(16916,a,15797,a)]. 17012 K(x,T(y,(z * u) \ w)) = K(x,T(y,z * (w \ u))). [hyper(16957,a,16739,a)]. 17013 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(240,a,16738,a,b,17012,a)]. 17014 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,w * (z \ u))) * v5). [para(17012(a,1),15077(a,2,2,1))]. 17015 K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(17013(a,1),8085(a,1))]. 17016 K(((K(x,y) * z) * u) \ w,v5) = K(K(y,x) * ((z * u) \ w),v5). [para(14459(a,1),16966(a,1,1,1))]. 17017 K(x,y) * ((y * x) / z) = (x * y) / z. [para(10190(a,1),16986(a,1,2)),flip(a)]. 17018 K((x * y) \ x,x * y) * (((x * y) * ((x * y) \ x)) / z) = (x * K(y \ 1,x * y)) / z. [para(5043(a,1),17017(a,2,1))]. 17019 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * ((w * K(z,u)) / v5)). [para(17017(a,1),15286(a,1,2,2)),flip(a)]. 17020 K(x,(y * a(z,u,w)) / v5) != v6 | K(x,(a(z,u,w) * y) / v5) = v6. [para(17017(a,1),16401(a,1,2))]. 17021 K(x,T(y,(z \ u) \ w)) != v5 | K(x,T(y,u \ (w * z))) = v5. [para(8035(a,1),17015(a,1))]. 17022 K(L(x,y,z),T(u,w \ (v5 * v6))) = K(x,L(T(u,(v6 \ w) \ v5),y,z)). [hyper(17021,a,11309,a)]. 17023 T(x,L(y \ R(y,z,u),w,y)) != v5 | T(x,y \ R(y,z,u)) = v5. [para(16872(a,2),327(a,1)),flip(b)]. 17024 L(x,y,T(z,u * L(x,y,z))) = L(x,y,T(z,u)). [hyper(6388,a,16891,a),flip(a)]. 17025 L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). [para(6086(a,1),17024(a,2,3))]. 17026 K((x * ((y * z) / y)) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(240,a,17001,a(flip),b,16971,a)]. 17027 K((x * T(T(y,z),z)) \ u,w) = K((x * y) \ u,w). [para(177(a,1),17026(a,1,1,1,2)),flip(a)]. 17028 K(x,(y * ((z * u) / z)) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(17026(a,1),5184(a,1,2,1)),flip(a)]. 17029 x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ x. [hyper(295,a,16983,a)]. 17031 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). [para(7142(a,1),17008(a,2,3))]. 17032 K(K(x,y) * (((z * y) * u) \ w),v5) = K(((z * T(y,x)) * u) \ w,v5). [hyper(16357,a,17016,a),flip(a)]. 17033 K(((K(x,y) * z) * u) \ w,v5) = K(K(x,y) * ((z * u) \ w),v5). [hyper(240,a,15095,a,b,17016,a)]. 17034 K(K(x,y) * (((z * x) * u) \ w),v5) != v6 | K(((z * T(x,y)) * u) \ w,v5) = v6. [para(17033(a,1),16357(a,1))]. 17035 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(10196(a,1),16909(a,1,1)),flip(a)]. 17036 T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ u)). [para(17035(a,1),15048(a,1,2))]. 17037 K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). [para(17035(a,1),16496(a,1,2,2))]. 17038 K(x,(y \ z) * (u \ K(w,w \ z))) = K(x,(y \ (w * (z / w))) / u). [para(17035(a,1),16582(a,1,2,1)),flip(a)]. 17039 T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)). [hyper(240,a,15049,a(flip),b,17036,a)]. 17040 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [para(14083(a,1),17037(a,2,2,2))]. 17041 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(13(a,1),17040(a,1,2,2)),flip(a)]. 17042 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(15(a,1),17040(a,1,2,2,2,2)),flip(a)]. 17043 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ (w * u))). [hyper(240,a,12917,a,b,17042,a(flip)),flip(a)]. 17044 K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). [hyper(15374,a,16928,a),flip(a)]. 17046 K(x,y * ((z \ 1) * (z * u))) = K(x,y * ((u * z) * (z \ 1))). [para(2137(a,1),17044(a,1,2,2))]. 17047 K(x,y * ((z \ 1) * (z * u))) = K(x,y * R(u,z,z \ 1)). [para(203(a,1),17046(a,2,2,2))]. 17048 K(x,y * R(z,u,u \ 1)) = K(x,y * L(z,u,u \ 1)). [hyper(240,a,5519,a(flip),b,17047,a(flip))]. 17049 K(x,(y \ 1) * L(z,u,u \ 1)) = K(x,y \ R(z,u,u \ 1)). [hyper(13865,a,17048,a),flip(a)]. 17050 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(73,a,17048,a(flip),b,10393,a)]. 17051 K(x,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. [para(17049(a,1),13865(a,1))]. 17052 L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). [para(13786(a,1),17025(a,1,3))]. 17053 L(x,(y * z) * u,K(w,L(y,z,u))) = L(x,z * u,K(w,R(y,z,u))). [para(14442(a,1),16899(a,1,3))]. 17054 K(x \ (y * T(z \ u,z)),w) = K(x \ (y * (u / z)),w). [hyper(240,a,16996,a(flip),b,16947,a(flip)),flip(a)]. 17055 K(x \ (y * (1 / z)),u) != w | K(x \ (y * (z \ 1)),u) = w. [para(16947(a,1),5260(a,1))]. 17056 K(x \ (y * ((z * u) / z)),w) = K(x \ (y * T(u,z)),w). [para(13(a,1),17054(a,1,1,2,2,1)),flip(a)]. 17057 K(x \ (y * T(T(z,u),u)),w) = K(x \ (y * z),w). [para(177(a,1),17056(a,1,1,2,2)),flip(a)]. 17058 K((x * (y * (z / y))) \ u,w) = K(K(y,z) * ((x * z) \ u),w). [hyper(12733,a,16978,a),flip(a)]. 17059 K((x * (y * (z / y))) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(240,a,17000,a(flip),b,17058,a)]. 17060 K(x,(y * (z * (u / z))) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(17059(a,1),5184(a,1,2,1)),flip(a)]. 17061 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(107(a,1),17010(a,1,2,3,1)),flip(a)]. 17062 x * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). [para(13606(a,2),17010(a,2,2))]. 17063 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u \ (w * z)),v5,v6)). [hyper(11312,a,17022,a),flip(a)]. 17064 K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. [para(17028(a,2),5194(a,1))]. 17065 K(K(x,y) * ((((z / T(y,x)) * y) * u) \ w),v5) = K((z * u) \ w,v5). [para(16(a,1),17032(a,2,1,1,1))]. 17066 K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). [hyper(240,a,16328,a(flip),b,17060,a)]. 17067 K(x,(y * (z * K(u \ 1,u * z))) \ w) = K(x,(y * T(z,L(u \ 1,u,z))) \ w). [para(10481(a,1),17066(a,1,2,1,2))]. 17068 x * L(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). [para(11253(a,2),17062(a,2,2,3))]. 17069 K(K(x,y) * (((z * K(x,y)) * u) \ w),v5) = K((z * u) \ w,v5). [para(7179(a,1),17065(a,1,1,2,1,1))]. 17070 K(K(x,y) * (((z * K(y,x)) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(15151,a,17069,a)]. 17071 x \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(13007(a,1),16910(a,1,1))]. 17072 T(x,(1 / y) * (K(z,u) * (z \ u))) = T(x,(y \ (z \ u)) * K(z,u)). [para(17071(a,1),13791(a,2,2))]. 17073 T(x,(y \ (z \ u)) * K(z,u)) = T(x,(1 / y) * (T(z,u) \ u)). [hyper(240,a,16512,a(flip),b,17072,a(flip))]. 17074 T(x,(y \ (z \ u)) * K(z,u)) = T(x,y \ (T(z,u) \ u)). [hyper(240,a,13791,a(flip),b,17073,a)]. 17075 T(x,(y \ (z \ u)) * K(u,z)) = T(x,y \ (T(z,u) \ u)). [hyper(15166,a,17074,a)]. 17076 K(K(x,y) * ((1 / z) \ u),w) != v5 | K(((z \ 1) * K(y,y \ x)) \ u,w) = v5. [para(15133(a,1),16973(a,1))]. 17077 K(K(x,T(y,z)) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [para(7142(a,1),17006(a,1,1,1))]. 17078 K(K(x,y) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [hyper(15274,a,17077,a)]. 17079 K(K(x,y) * ((T(x,z) / u) \ w),T(v5,w)) = K(w / (T(T(x,y),z) / u),v5). [hyper(240,a,7608,a(flip),b,17078,a)]. 17081 T(x,T(y,L((z / u) / w,w,u))) = T(x,T(y,w * (z \ u))). [hyper(240,a,7171,a(flip),b,17014,a)]. 17082 T(x,T(y,z / (u * w))) = T(x,T(y,u * (z \ w))). [para(14439(a,1),17081(a,1,2))]. 17083 T(x,T(y,(z * u) \ w)) = T(x,T(y,z * (w \ u))). [hyper(15110,a,17082,a)]. 17084 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (w \ u))). [hyper(14815,a,17083,a)]. 17085 T(x,T(y,z \ (u \ w))) = T(x,T(y,u * (w \ z))). [hyper(240,a,16881,a(flip),b,17083,a(flip)),flip(a)]. 17086 T(x,T(y,(z \ u) \ w)) = T(x,T(y,z * (u \ w))). [hyper(8082,a,17085,a)]. 17087 T(x,T(y,z * (u \ w))) != v5 | T(x,T(y,(z \ u) * w)) = v5. [para(17086(a,1),14815(a,1))]. 17088 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(14621(a,1),17005(a,1,1))]. 17089 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(6912,a,17088,a),flip(a)]. 17090 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(10309,a,17089,a),flip(a)]. 17091 T(x,y / (T(z,u) * u)) = T(x,y / (u * z)). [hyper(9143,a,17090,a),flip(a)]. 17092 (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). [para(9879(a,1),16915(a,1,1,1))]. 17095 (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). [para(16953(a,2),17092(a,1,2,1))]. 17096 a(x,y,K(z,u)) \ (w * K(v5,z)) = (w / T(L(z,y,K(u,x)),v5)) * z. [para(16095(a,1),16939(a,1,2,2))]. 17097 (x / T(L(y,z,K(u,w)),v5)) * y = a(y,z,K(w,u)) * (x * K(v5,y)). [hyper(13962,a,17096,a),flip(a)]. 17099 (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). [para(40(a,2),17097(a,1,1,2))]. 17100 (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / L(x \ 1,x,y)). [para(1627(a,1),16984(a,1,2,2)),flip(a)]. 17101 (x \ (L(1 / x,x,y) \ 1)) * z = z * (L(x \ 1,x,y) \ (x \ 1)). [para(6697(a,1),17100(a,2,2))]. 17102 (x \ (L(1 / x,x,y) \ 1)) * z = z * (x \ (L(1 / x,x,y) \ 1)). [para(6717(a,1),17101(a,2,2))]. 17103 T(x \ (L(1 / x,x,y) \ 1),z) = x \ (L(1 / x,x,y) \ 1). [hyper(182,a,17102,a,b,xx)]. 17105 T(L(x \ 1,x,y) \ (x \ 1),z) = x \ (L(1 / x,x,y) \ 1). [para(6717(a,2),17103(a,1,1))]. 17106 x \ L(L(x,y,K(z,u)),w,K(v5,v6)) = a(v5,w,K(v6,x)) * a(x,y,K(z,u)). [para(16095(a,1),16951(a,1,1,3)),flip(a)]. 17109 K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [para(13590(a,1),17050(a,1,1,2))]. 17110 K(x,K(y,z)) * K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [hyper(7540,a,17109,a)]. 17112 K(x,R(y,z,z \ 1) * u) = K(x,L(y,z,z \ 1) * u). [hyper(240,a,16023,a(flip),b,17110,a(flip))]. 17113 K(x,L(y,z,z \ 1) * (u \ 1)) = K(x,R(y,z,z \ 1) / u). [hyper(13799,a,17112,a),flip(a)]. 17114 K(x,R(y,z,z \ 1) / u) != w | K(x,L(y,z,z \ 1) / u) = w. [para(17113(a,1),13799(a,1))]. 17115 K(x,y * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(16366(a,1),16712(a,1,2,2,1))]. 17116 K(x,y * T((z * u) * K(w,L(v5,z,u)),K(w,v5))) = K(x,y * ((K(w,v5) * z) * u)). [para(9894(a,2),17115(a,1,2,2))]. 17118 K(x,y * T(z * (T(u,z) * K(w,v5)),K(w,v5))) = K(x,y * ((K(w,v5) * u) * z)). [para(11276(a,1),17116(a,1,2,2,1))]. 17119 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * ((K(w,v5) * u) * z)). [hyper(15256,a,17118,a)]. 17120 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(7560(a,1),16819(a,1,2))]. 17121 K(x \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / z. [para(6018(a,1),17018(a,1,1))]. 17122 (x * K(y \ 1,x * y)) / z = K(y \ 1,x * y) * (x / z). [para(14(a,1),17121(a,1,2,1)),flip(a)]. 17124 K(x,K(y \ 1,z * y) * (z / u)) = K(x,T(z,y) / u). [para(17122(a,1),15390(a,1,2))]. 17125 K(x,(y / z) * K(u,y * u)) = K(x,T(y,u) / z). [hyper(15148,a,17124,a)]. 17126 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(15335(a,1),17120(a,1,2))]. 17127 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(240,a,8695,a(flip),b,17126,a(flip)),flip(a)]. 17128 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(15578(a,2),17127(a,1,2))]. 17129 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(10337(a,1),17128(a,1,2,1))]. 17130 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(13660(a,1),17129(a,1,2))]. 17131 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5183(a,1),17130(a,1,2))]. 17132 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8240,a,17131,a)]. 17133 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(240,a,16798,a(flip),b,17132,a(flip)),flip(a)]. 17134 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5191,a,17133,a),flip(a)]. 17135 K(x,y) \ T(z * K(x,T(y,u \ w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [hyper(73,a,13786,a,b,17134,a(flip))]. 17136 K(x,y) \ T(z * K(x,T(y,(u \ w) \ 1)),w \ u) = T(z,((u \ w) \ 1) * K(x,y)). [hyper(73,a,6086,a(flip),b,17134,a(flip))]. 17137 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(17134(a,2),14015(a,2,2)),flip(a)]. 17138 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(13932,a,17137,a)]. 17139 K(x,y) \ T(z * K(x,T(y,u * w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [para(14806(a,1),17135(a,1,2,1,2))]. 17140 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,(u \ w) * K(x,y)). [para(13786(a,1),17139(a,1,2))]. 17141 K(x,y) \ T(z * K(x,T(y,u \ w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(6086(a,1),17136(a,1,2,1,2,2))]. 17142 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(14806(a,1),17141(a,1,2,1,2))]. 17143 T(x,((y \ z) \ 1) * K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(240,a,17140,a(flip),b,17142,a(flip))]. 17144 T(x,(y \ z) \ K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(13789,a,17143,a)]. 17145 (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). [para(16515(a,1),16513(a,1,1))]. 17147 K(x * ((K(y,T(z,u)) * w) / v5),v6) = K(x * (K(y,z) * (w / v5)),v6). [hyper(240,a,16415,a(flip),b,16838,a(flip)),flip(a)]. 17149 K(x * ((K(y,z) * u) / w),v5) = K(x * (K(y,z) * (u / w)),v5). [para(121(a,1),17147(a,1,1,2,1,1,2))]. 17150 (K(x,K(y,z)) * a(u,w,v5)) * K(x,K(y,z)) = a(u,w,K(x,K(y,z)) * v5). [para(24(a,2),17145(a,1,1,2))]. 17151 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [hyper(15044,a,17150,a)]. 17153 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(7583(a,1),16216(a,1,1))]. 17154 K(x,K(y,T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(7643(a,1),17153(a,1,1))]. 17155 K(x,K(y,z)) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(14826(a,1),17154(a,1,1))]. 17156 K(x,K(y,z)) * K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [hyper(7540,a,17155,a)]. 17158 T(K((x * y) \ z,x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [hyper(240,a,16752,a,b,17156,a(flip)),flip(a)]. 17159 T(K(x \ (y \ z),x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [para(13915(a,1),17158(a,1,1,1))]. 17160 K((x * y) \ T(z,u),y * x) = T(K(y \ (x \ z),y * x),u). [para(16622(a,1),17159(a,1,1)),flip(a)]. 17161 K((x * y) \ T(z,u),y * x) != w | K(y \ (x \ z),T(y * x,u)) = w. [para(17160(a,2),7299(a,1))]. 17162 K((x * y) \ z,T(x * y,u)) != w | K(x \ (y \ z),T(x * y,u)) = w. [para(10633(a,1),17161(a,1))]. 17163 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(16423(a,1),16474(a,1,1,1))]. 17164 K((x * (y / z)) * K(z,K(u,w) * v5),v6) = K(x * (y / T(z,K(w,u) * T(v5,v7))),v6). [hyper(15288,a,17163,a)]. 17165 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,K(v5,v6) * T(x,v7))),w). [hyper(15697,a,17164,a)]. 17167 K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. [para(17165(a,1),16540(a,1))]. 17168 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(11246(a,1),16485(a,1,1,2,1)),flip(a)]. 17169 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(K(u,w) * (x * (y * (z / u))),v5). [hyper(240,a,16493,a(flip),b,17168,a)]. 17171 K(K(x,y) * (z * (u * (w / x))),v5) = K(z * (u * (w / T(x,y))),v5). [para(11392(a,1),17169(a,1,1,2)),flip(a)]. 17172 K(x * (y * (z / T(u,z))),w) = K(x * (y * (u \ z)),w). [hyper(240,a,16560,a(flip),b,17171,a(flip))]. 17173 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(15455,a,17011,a)]. 17174 K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(14952,a,17173,a)]. 17175 K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. [para(17174(a,2),15261(a,1))]. 17176 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(16824(a,1),16260(a,1,1,2))]. 17177 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(16753(a,1),17176(a,1,1,2))]. 17178 K(x * T(y \ z,a(u,y,w)),v5) = K(x * ((K(w,u) * y) \ (K(w,T(u,v6)) * z)),v5). [hyper(15272,a,17177,a)]. 17179 K(x * ((K(y,z) * u) \ (K(y,T(z,w)) * v5)),v6) = K(x * (u \ v5),v6). [hyper(16403,a,17178,a),flip(a)]. 17180 K(x * ((K(y,z) * u) \ (K(y,z) * w)),v5) = K(x * (u \ w),v5). [para(121(a,1),17179(a,1,1,2,2,1,2))]. 17181 K(x * (T(y,K(z,u)) \ (K(u,z) * w)),v5) = K(x * ((y * K(z,u)) \ w),v5). [para(5182(a,1),17180(a,1,1,2,1))]. 17182 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * (y \ (K(u,z) * w)),v5) = v6. [para(17181(a,1),15325(a,1))]. 17183 K(x * (y \ ((z * u) * ((u * z) \ w))),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). [hyper(17167,a,16774,a),flip(a)]. 17184 K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ (K(y,z) * u)),v5). [para(10164(a,1),17183(a,1,1,2,2)),flip(a)]. 17185 K(x * (K(y,z) * (u / T(w,u))),v5) = K(x * (w \ (K(y,z) * u)),v5). [hyper(240,a,17149,a(flip),b,17184,a(flip)),flip(a)]. 17186 K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (y \ w)),v5). [hyper(240,a,17172,a(flip),b,17185,a(flip))]. 17187 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. [para(16390(a,1),17007(a,1,1,1))]. 17189 (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(16245(a,1),16076(a,1,2))]. 17190 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(16276(a,1),16282(a,1,2))]. 17191 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. [para(16282(a,1),16280(a,1))]. 17192 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). [para(16016(a,1),17189(a,1,2,2))]. 17193 L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [hyper(772,a,17190,a)]. 17194 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). [para(16057(a,1),17193(a,1,1)),flip(a)]. 17195 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [hyper(17191,a,17194,a),flip(a)]. 17196 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5 * K(z,K(u,w))). [para(14862(a,1),17195(a,1,2))]. 17197 (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). [para(16057(a,1),17192(a,2,2))]. 17198 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). [hyper(16503,a,17197,a)]. 17199 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(17198(a,1),16601(a,1)),flip(b)]. 17200 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [hyper(17199,a,17196,a(flip)),flip(a)]. 17201 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [hyper(17199,a,16069,a(flip)),flip(a)]. 17202 L(x,y,z * K(u,w)) != v5 | L(x,y,K(u,w) * z) = v5. [para(98(a,1),17199(a,1,3))]. 17204 L(x,y,K(z,T(u,w)) * v5) != v6 | L(x,y,K(z,u) * v5) = v6. [para(15033(a,1),17199(a,1,3))]. 17206 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(240,a,16281,a(flip),b,17200,a(flip)),flip(a)]. 17207 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(98(a,1),17200(a,1,2)),flip(a)]. 17209 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(6976(a,1),17200(a,1,2))]. 17213 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(6207(a,1),17201(a,1,3))]. 17214 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(6975(a,1),17201(a,1,3))]. 17215 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(240,a,17138,a(flip),b,17209,a(flip)),flip(a)]. 17216 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(7126,a,17215,a),flip(a)]. 17218 L(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(17215(a,1),14042(a,1,1))]. 17219 L(a(x,y,z),x * (y * z),K(z,y)) = a(x,y,T(z,y)). [hyper(11219,a,17214,a),flip(a)]. 17220 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). [hyper(240,a,17031,a,b,17214,a(flip)),flip(a)]. 17222 L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). [para(7217(a,2),17214(a,1,3))]. 17223 (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),K(z,T(u,y)) * y,x). [para(17214(a,1),7681(a,1,1)),flip(a)]. 17224 L(x,y,K(z / ((u \ w) \ w),T(u,u \ w))) = L(x,y,K(u \ 1,z)). [hyper(240,a,13065,a,b,17222,a(flip)),flip(a)]. 17225 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(263(a,1),17216(a,2,2))]. 17226 x * (T(K(y,z),x) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(17216(a,1),10202(a,1,2)),flip(a)]. 17227 (x / y) / K(x,z) = x / (K(x,z) * y). [para(15619(a,1),17218(a,1,1))]. 17228 x / (K(x,y) * z) = (x / z) * K(y,x). [hyper(7113,a,17227,a),flip(a)]. 17230 a(x,y,T(z,y)) = a(x,y,z). [hyper(16942,a,17219,a),flip(a)]. 17232 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(17230(a,1),668(a,1,2))]. 17233 a(x,y,z) * (x * (y * T(z,y))) = (x * (y * K(z,y))) * z. [para(17230(a,1),13838(a,1,1))]. 17234 (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). [hyper(1210,a,17232,a)]. 17235 (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. [hyper(889,a,17232,a),flip(a)]. 17236 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,y) = u. [para(17232(a,1),241(a,1,2)),flip(b)]. 17237 (a(x,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. [para(17232(a,1),889(a,1))]. 17238 (a(x,y,z) * u) * (a(x,y,z) \ 1) = T(u,a(x,y,z) \ 1). [hyper(240,a,129,a(flip),b,17234,a(flip)),flip(a)]. 17239 (a(x,y,z) * u) \ (w * u) = T(a(x,y,z) \ w,u). [para(14(a,1),17234(a,1,2,1))]. 17240 T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u. [para(55(a,1),17234(a,1,2)),flip(a)]. 17241 K(((a(x,y,z) * u) * (T(a(x,y,z) \ 1,u) / w)) \ u,v5) = K(w,L(v5,u,a(x,y,z) * u)). [para(17240(a,2),13945(a,1,1,1,2,1))]. 17242 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(16369,a,17235,a),flip(a)]. 17243 T(a(x,y,z) * (u * K(w,u)),w) = w \ ((a(x,y,z) * w) * u). [hyper(401,a,17235,a(flip),b,10808,a)]. 17244 (a(x,y,z) * u) * L(T(w,u),v5,v6) = (a(x,y,z) * L(w,v5,v6)) * u. [para(40(a,2),17235(a,1,2))]. 17245 (a(x,y,z) * u) * T(w,u) != u * v5 | T(a(x,y,z) * w,u) = v5. [para(17235(a,2),183(a,2)),flip(a)]. 17246 (x * (a(y,z,u) * w)) \ ((a(y,z,u) * x) * w) = K(a(y,z,u) * w,x) * K(x,w). [para(17235(a,1),9602(a,1,2))]. 17247 (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. [para(13544(a,1),17235(a,1,1))]. 17248 ((a(x,y,z) * u) * w) \ (u * (a(x,y,z) * w)) = K(w,u) * K(u,a(x,y,z) * w). [para(17235(a,1),14012(a,1,1))]. 17249 T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * x) * y). [para(17235(a,1),16504(a,1,2)),flip(a)]. 17250 K(((a(x,y,z) * T(u,w)) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). [para(17235(a,1),17027(a,1,1,1))]. 17251 K(x \ ((a(y,z,u) * T(w,v5)) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). [para(17235(a,1),17057(a,1,1,2))]. 17254 T(a(x,y,z) \ u,a(x,y,z) \ 1) = u * (a(x,y,z) \ 1). [hyper(240,a,129,a(flip),b,17239,a(flip))]. 17255 T(a(x,y,z) \ (u / w),w) = (a(x,y,z) * w) \ u. [para(16(a,1),17239(a,1,2)),flip(a)]. 17256 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(17239(a,1),10242(a,1,2)),flip(a)]. 17257 ((x * y) * z) \ (u * (x * (y * z))) = T(a(x,y,z) \ u,x * (y * z)). [para(13825(a,1),17239(a,1,1))]. 17258 K(a(x,y,z) \ (u / w),w) \ ((a(x,y,z) * w) \ u) = a(x,y,z) \ (u / w). [hyper(73,a,17255,a(flip),b,4809,a(flip))]. 17259 (a(x,y,z) \ (u / w)) * w = w * ((a(x,y,z) * w) \ u). [para(17255(a,1),122(a,1,2)),flip(a)]. 17263 a(x * K(y,z),z,y) != u | a(x,z,y) = u. [para(10991(a,1),17236(a,1))]. 17264 a(x,y,K(z,u)) * (w / (a(x,y,K(z,u)) * v5)) = w / v5. [hyper(75,a,16,a(flip),b,17242,a),flip(a)]. 17266 K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,u)) * w. [para(13626(a,1),17242(a,1,1)),flip(a)]. 17267 x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. [para(16841(a,1),17242(a,1,1)),flip(a)]. 17268 x * (a(y,z,K(u,x)) * w) = L(x,z,K(y,u)) * w. [para(16842(a,1),17242(a,1,1)),flip(a)]. 17269 (x * y) * (a(z,u,K(w,y)) * v5) = (x * L(y,u,K(z,w))) * v5. [para(16941(a,1),17242(a,1,1)),flip(a)]. 17270 L(x,y,K(z,u)) * T(w,a(u,y,K(x,z))) = x * (w * a(u,y,K(x,z))). [hyper(544,a,17267,a),flip(a)]. 17271 x * (a(y,z,K(x,u)) * (z * K(u,y))) = (x * z) * K(u,y). [hyper(240,a,16650,a(flip),b,17267,a)]. 17272 ((x * y) * (a(z,u,K(w,y)) * v5)) / (L(y,u,K(z,w)) * v5) = R(x,y,a(z,u,K(w,y)) * v5). [para(17268(a,1),30(a,2,2)),flip(a)]. 17273 (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). [hyper(14189,a,17259,a)]. 17274 T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). [para(17259(a,1),3997(a,1,2,2))]. 17275 x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). [para(16149(a,1),17264(a,1,2,2)),flip(a)]. 17276 K(x,y) \ T(L(x,z,u),y) = a(x,z,K(u,y)) * L(x,z,u). [hyper(73,a,11321,a(flip),b,17266,a)]. 17277 K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. [para(16082(a,1),17266(a,1,2))]. 17278 a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). [para(16840(a,1),17275(a,1,2)),flip(a)]. 17279 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [para(17278(a,1),16365(a,1,2))]. 17280 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(17278(a,1),16384(a,1,2))]. 17281 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(17278(a,1),16414(a,1,2,2))]. 17282 T(x,y / L(z,u,K(w,v5))) = T(x,a(v6,v7,K(v8,v9)) * (y / z)). [hyper(240,a,16365,a,b,17279,a)]. 17283 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y / (w \ (K(z,u) * v5))). [para(454(a,1),17280(a,1,2,2)),flip(a)]. 17284 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * (K(z,u) * (w / v5))). [para(501(a,1),17281(a,1,2,2)),flip(a)]. 17285 K(x,y * (z / ((K(u,w) * v5) \ v6))) = K(x,y * (z / (v5 \ (K(w,u) * v6)))). [para(5196(a,1),17281(a,1,2,2,2))]. 17286 (K(x,y) * z) \ (K(x,y) * ((z * u) * a(x,z,K(u,y)))) = u. [hyper(73,a,17277,a,b,14459,a(flip))]. 17287 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(11248(a,2),17277(a,2,1))]. 17290 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(17287(a,1),14469(a,1,2,1))]. 17292 a(x,y,z) * (x * (z * y)) = (x * (y * K(z,y))) * z. [para(122(a,1),17233(a,1,2,2))]. 17293 a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). [hyper(240,a,10808,a(flip),b,17292,a)]. 17294 a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) = (a(x,y,y \ 1) * z) * T(u,z). [hyper(13550,a,17293,a)]. 17295 (a(x,y,z) * (u * K(a(x,y,z) \ u,u))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [hyper(73,a,6475,a(flip),b,17238,a)]. 17296 T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = w. [para(17238(a,1),541(a,1))]. 17297 x * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. [hyper(240,a,9884,a(flip),b,17254,a(flip))]. 17298 K(a(x,y,z) \ 1,a(x,y,z) \ u) * (u * (a(x,y,z) \ 1)) = a(x,y,z) \ u. [para(17254(a,1),4769(a,1,2))]. 17299 (a(x,y,y \ 1) \ 1) * T(z,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ z. [hyper(232,a,17297,a)]. 17300 (a(x,y,y \ 1) \ z) \ (z * ((a(x,y,y \ 1) \ 1) * u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(17297(a,1),28(a,2,1)),flip(a)]. 17301 a(x,x \ y,(x \ y) \ 1) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). [para(677(a,1),17297(a,1,2,1)),flip(a)]. 17302 x \ ((a(x,y,y \ 1) * x) * z) = a(x,y,y \ 1) * z. [hyper(240,a,10811,a(flip),b,17243,a(flip))]. 17303 x \ (R(x,y,y \ 1) * z) = a(x,y,y \ 1) * z. [para(3662(a,1),17302(a,1,2,1))]. 17304 R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z. [hyper(1176,a,17303,a)]. 17305 R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z. [hyper(543,a,17303,a),flip(a)]. 17306 x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z. [para(17303(a,1),14(a,1,2))]. 17308 (x / y) * R(y,z,z \ 1) = a(y,z,z \ 1) * x. [hyper(240,a,13913,a(flip),b,17304,a(flip)),flip(a)]. 17309 a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. [hyper(73,a,1164,a(flip),b,17304,a(flip))]. 17310 L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. [hyper(644,a,17305,a)]. 17311 x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z. [hyper(240,a,1169,a(flip),b,17305,a(flip)),flip(a)]. 17312 R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. [para(17305(a,1),14(a,1,2))]. 17313 T(x,a(y,z,z \ 1) \ z) = T(x,z). [para(17305(a,1),6280(a,1,2))]. 17314 a(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z / x. [hyper(17,a,14054,a(flip),b,17306,a)]. 17315 (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(75,a,17306,a(flip),b,599,a(flip))]. 17316 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (R(x,u,u \ 1) * (x \ y)) * z. [hyper(14365,a,17308,a),flip(a)]. 17317 a(x,y,y \ 1) * (z * x) = z * R(x,y,y \ 1). [para(15(a,1),17308(a,1,1)),flip(a)]. 17318 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(17308(a,1),2364(a,2,2,2))]. 17319 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(z,u,u \ 1) * y). [para(17308(a,1),17048(a,1,2)),flip(a)]. 17320 (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. [hyper(259,a,1170,a(flip),b,17311,a(flip))]. 17321 (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(75,a,14144,a(flip),b,17312,a)]. 17322 (x * y) / R(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(73,a,15,a(flip),b,17314,a),flip(a)]. 17323 (x * y) \ (x * R(y,z,z \ 1)) = a(y,z,z \ 1). [hyper(73,a,17317,a(flip),b,13544,a(flip))]. 17325 (R(x,y,y \ 1) \ x) \ 1 = (a(x,y,y \ 1) \ 1) \ 1. [para(17320(a,1),14411(a,1,2)),flip(a)]. 17326 L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. [hyper(6556,a,17322,a)]. 17327 (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). [hyper(240,a,17311,a,b,17322,a)]. 17328 L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). [hyper(775,a,17323,a)]. 17329 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(10148(a,1),17310(a,1,3))]. 17330 (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). [hyper(240,a,12466,a(flip),b,17325,a)]. 17332 (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. [para(17330(a,1),539(a,1,1,2))]. 17333 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. [para(17326(a,1),6743(a,1,1))]. 17334 ((x * a(y,z,z \ 1)) * u) \ ((a(y,z,z \ 1) * u) * x) = K(u,x). [hyper(73,a,17247,a(flip),b,5929,a)]. 17336 T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. [para(17282(a,2),12729(a,1))]. 17337 K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). [hyper(240,a,17019,a(flip),b,17284,a(flip)),flip(a)]. 17338 K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). [hyper(240,a,16888,a(flip),b,17337,a(flip))]. 17340 L(x,y,K(z / ((u \ w) \ w),T(u,w))) = L(x,y,K(u \ 1,z)). [para(6957(a,1),17224(a,1,3))]. 17341 L(x,y,K(z / T(u,w),T(u,w))) = L(x,y,K(u \ 1,z)). [para(12714(a,1),17340(a,1,3))]. 17342 L(x,y,K(z \ 1,u)) = L(x,y,K(z \ u,z)). [para(15193(a,1),17341(a,1,3)),flip(a)]. 17343 L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [hyper(240,a,13009,a(flip),b,17342,a)]. 17344 T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,u)). [hyper(240,a,16866,a(flip),b,17343,a(flip)),flip(a)]. 17345 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3022(a,1),17343(a,1,3)),flip(a)]. 17346 L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ z)). [para(6019(a,1),17343(a,1,3))]. 17347 L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). [para(13572(a,1),17343(a,1,3))]. 17348 L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. [para(17343(a,1),16942(a,1))]. 17349 L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). [hyper(240,a,16892,a(flip),b,17345,a(flip)),flip(a)]. 17350 L(R(x,y,z),y * z,K(z,u)) = R(x,y,z * K(u,z \ 1)). [hyper(240,a,16644,a(flip),b,17345,a(flip))]. 17351 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). [para(6125(a,1),17345(a,1,3)),flip(a)]. 17352 L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u \ L(x,y,z))). [hyper(6388,a,17349,a),flip(a)]. 17353 (x / L(T(y,z),u,K(z,w))) * y = x * K(L(z,u,w \ 1),y). [para(17344(a,1),7179(a,1,1,2))]. 17354 (x \ y) \ (x \ L(T(y,z),u,K(z,w))) = K(y,L(z,u,w \ 1)). [para(17344(a,1),14084(a,1,2,2))]. 17355 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(240,a,12996,a(flip),b,17346,a)]. 17356 a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). [hyper(17348,a,10541,a)]. 17358 a(x,T(y,x),z) = a(x,y,z). [hyper(240,a,186,a(flip),b,17356,a),flip(a)]. 17359 a(x / y,y,z) = a(y \ x,y,z). [hyper(240,a,5800,a(flip),b,17358,a(flip)),flip(a)]. 17360 a(x \ (y * x),x,z) = a(y,x,z). [para(15(a,1),17359(a,1,1)),flip(a)]. 17361 R(x,y,z * K(u,z \ 1)) = R(x,y,T(z,u)). [hyper(16656,a,17350,a),flip(a)]. 17362 R(x,y,T(1 / z,u) \ 1) = R(x,y,T(z,u)). [para(7281(a,2),17361(a,1,3))]. 17363 R(x,y,T(z,u) \ 1) = R(x,y,T(z \ 1,u)). [para(62(a,1),17362(a,1,3,1,1))]. 17364 L(x \ R(x,y,T(z \ 1,u)),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). [para(17363(a,1),14526(a,2,1,2)),flip(a)]. 17365 L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,z)). [hyper(240,a,6561,a(flip),b,17352,a(flip))]. 17366 L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). [hyper(240,a,17052,a(flip),b,17365,a(flip))]. 17367 L(L(x,y,z),y,K(u,z)) = L(x,y,T(z,u \ z)). [hyper(240,a,16930,a,b,17366,a(flip)),flip(a)]. 17368 L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)). [hyper(240,a,16897,a(flip),b,17367,a(flip))]. 17369 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(L(u,y,z \ 1),x). [hyper(240,a,17099,a(flip),b,17353,a(flip)),flip(a)]. 17370 (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(8452(a,1),17354(a,1,2,2,3))]. 17371 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(u,L(x,y,z \ 1)). [para(11309(a,1),17369(a,2,2))]. 17372 x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). [para(17371(a,1),17271(a,1,2))]. 17373 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [hyper(73,a,93,a(flip),b,17372,a),flip(a)]. 17374 K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). [hyper(11338,a,17372,a(flip))]. 17376 K((x * y) \ z,L(u,x \ z,x \ 1)) = K(y \ (x \ z),u). [hyper(11270,a,17374,a)]. 17377 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(240,a,13947,a(flip),b,17374,a(flip)),flip(a)]. 17378 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [para(515(a,1),17374(a,1,2))]. 17380 T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. [para(17377(a,1),16528(a,1,2,1))]. 17381 K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(95(a,1),17378(a,1,2,1))]. 17383 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(16352(a,1),17373(a,1,2))]. 17385 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(17383(a,1),14502(a,2,2,2))]. 17386 K((x * y) \ z,L(u,z,x \ 1)) = K(y \ (x \ z),u). [hyper(240,a,16352,a(flip),b,17376,a(flip)),flip(a)]. 17387 K(L(x,y,y \ 1) \ ((y \ 1) * z),u) = K(x \ (y \ z),u). [hyper(240,a,11330,a,b,17386,a(flip)),flip(a)]. 17388 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = w / (K(y \ (z \ u),x) * w). [para(17387(a,1),5184(a,1,2,1)),flip(a)]. 17390 K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,u) * (z / v5))). [hyper(15323,a,17338,a),flip(a)]. 17391 K(x,y * (z / (u * K(w,v5)))) = K(x,y * (K(v5,w) * (z / u))). [hyper(15322,a,17390,a)]. 17393 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(240,a,16286,a(flip),b,17206,a(flip)),flip(a)]. 17394 x * ((y \ (z * ((y \ z) \ 1))) \ 1) = (y \ (z * ((y \ z) \ 1))) \ x. [para(677(a,1),17301(a,1,1)),flip(a)]. 17395 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(240,a,16328,a(flip),b,17388,a)]. 17396 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). [hyper(240,a,11334,a,b,17395,a(flip)),flip(a)]. 17397 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(678(a,1),17396(a,2,2,2))]. 17398 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(28(a,2),17393(a,1,2)),flip(a)]. 17399 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(240,a,14862,a(flip),b,17398,a)]. 17400 K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(17398(a,2),15225(a,1,2))]. 17401 K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). [para(16259(a,1),17400(a,1,2,1))]. 17402 L(K(x,K(y,z)) * u,w,v5) = L(u,w,v5) * K(x,K(y,z)). [para(14862(a,2),17399(a,1,1))]. 17403 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(17399(a,2),15393(a,1,1))]. 17404 x * T(L(K(x,K(y,z)) * (u / x),w,v5),x) = T(x,K(y,z)) * L(x \ u,w,v5). [para(17402(a,2),15119(a,1,2,1))]. 17405 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(240,a,15412,a(flip),b,17401,a(flip)),flip(a)]. 17406 T(x,(((a(y,z,u) * w) \ v5) * w) \ w) = T(x,(a(y,z,u) \ (v5 / w)) \ 1). [hyper(8351,a,17274,a)]. 17408 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) \ (y / v5)) \ 1). [hyper(240,a,9100,a(flip),b,17406,a(flip)),flip(a)]. 17409 K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). [para(8229(a,1),17258(a,1,1))]. 17410 (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. [para(9884(a,1),17299(a,1,2))]. 17411 (a(x,y,y \ 1) \ 1) \ z = a(x,y,y \ 1) * z. [hyper(73,a,13,a(flip),b,17410,a)]. 17412 (a(x,y,y \ 1) \ 1) \ z = z * a(x,y,y \ 1). [hyper(240,a,13544,a(flip),b,17411,a)]. 17413 a(x,1 / y,(1 / y) \ 1) * z = (a(x,1 / y,y) \ 1) \ z. [para(65(a,1),17411(a,1,1,1,3)),flip(a)]. 17414 (1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * z. [para(12465(a,2),17411(a,1,1))]. 17415 (R(x,y,y \ 1) \ x) \ z = a(x,y,y \ 1) * z. [hyper(17332,a,17414,a)]. 17418 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = (R(x,x \ y,(x \ y) \ 1) \ x) \ z. [para(95(a,2),17415(a,2,1)),flip(a)]. 17419 a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. [para(4712(a,1),17413(a,2,1,1))]. 17420 (a(x,y \ 1,y) \ 1) \ z = a(x,1 / y,y) * z. [para(65(a,1),17419(a,1,1,3)),flip(a)]. 17421 (a(x,y \ 1,y) \ 1) \ z = a(x,y \ 1,y) * z. [para(4712(a,1),17420(a,2,1))]. 17422 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. [para(17304(a,1),17316(a,2,1))]. 17423 a(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(18,a,118,a,b,17422,a)]. 17424 K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). [hyper(5193,a,17409,a)]. 17425 x * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(6964(a,2),17226(a,1,2,1))]. 17426 x * T(a(y,z,u) \ 1,a(y,z,u) \ x) = a(y,z,u) \ x. [hyper(16818,a,17298,a)]. 17427 x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. [para(9887(a,1),17426(a,1,2))]. 17428 x * T(L(y / T(x,K(z,u)),w,v5),x) = T(x,K(z,u)) * L(x \ y,w,v5). [para(15039(a,1),17404(a,1,2,1,1))]. 17429 x * L(T(y / T(x,K(z,u)),x),w,v5) = T(x,K(z,u)) * L(x \ y,w,v5). [para(40(a,2),17428(a,1,2))]. 17430 T(x,K(y,z)) * L(x \ u,w,v5) = x * L(T(x,K(y,z)) \ u,w,v5). [para(14880(a,1),17429(a,1,2,1)),flip(a)]. 17431 x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(16507(a,2),17425(a,1,2))]. 17432 (K(x,y) * z) * (u / (K(x,y) * z)) = z * T(u / T(z,K(x,y)),K(x,y)). [para(14955(a,1),17431(a,1,2,1)),flip(a)]. 17433 x * T(K(y,z) / T(x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [hyper(240,a,5764,a(flip),b,17432,a(flip))]. 17434 x * T(T(K(y,z) / x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [para(9072(a,1),17433(a,1,2,1))]. 17435 K(x,y) * K(K(x,y) * z,z \ 1) = z * (K(x,y) / z). [para(7562(a,1),17434(a,1,2)),flip(a)]. 17436 K(K(x,y) * z,z \ 1) = K(z,z \ K(x,y)). [hyper(17,a,4976,a,b,17435,a)]. 17438 K(x \ 1,K(y,z) * x) * K(z,y) = (x * (K(y,z) / x)) \ 1. [para(17435(a,1),13732(a,1,1)),flip(a)]. 17439 K(x,y) * K(K(x,y) * z,z \ 1) != u | z * (K(x,y) / z) = u. [para(17436(a,2),5138(a,1,2))]. 17440 K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. [hyper(15146,a,17438,a)]. 17441 (x * (K(y,z) / x)) \ 1 = (x \ 1) * (K(z,y) * x). [hyper(240,a,14146,a(flip),b,17440,a(flip))]. 17442 K(x \ K(y,z),x) * K(z,y) = (x \ 1) * (K(z,y) * x). [hyper(14198,a,17441,a)]. 17443 1 / (x * (K(y,z) / x)) = (x \ 1) * (K(z,y) * x). [hyper(240,a,14214,a(flip),b,17442,a(flip)),flip(a)]. 17444 (K(x,y) * z) * T(1 / z,K(x,y)) != u | z * (K(x,y) / z) = u. [para(14260(a,2),17439(a,1))]. 17445 a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). [hyper(13836,a,17381,a)]. 17446 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,y \ z,K(y,x)). [para(8966(a,1),17445(a,1,3)),flip(a)]. 17447 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(240,a,13918,a(flip),b,17446,a)]. 17449 K(x,K((y \ z) * u,y \ (z * u))) \ a(y,z,K(x,u)) = K(x,(y \ (z * u)) / ((y \ z) * u)). [hyper(73,a,17447,a(flip),b,8170,a)]. 17450 (a(x,y,z) * (u * a(z,y,K(x,u)))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [para(16989(a,1),17295(a,1,1,2,2))]. 17451 (a(x,y,z) * L(u,y,K(z,x))) \ R(u,a(x,y,z) \ 1,u) = a(x,y,z) \ 1. [para(16827(a,1),17450(a,1,1,2))]. 17452 (x * a(y,z,u)) \ R(x,a(y,z,u) \ 1,x) = a(y,z,u) \ 1. [para(16835(a,1),17451(a,1,1))]. 17454 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). [para(6992(a,1),17405(a,2,2))]. 17455 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). [hyper(17175,a,17454,a),flip(a)]. 17456 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). [para(121(a,1),17455(a,2,2,1,2,2))]. 17457 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,y / (z * K(w,u))). [hyper(240,a,16584,a(flip),b,17456,a)]. 17459 ((x * L(y,z,K(u,w))) * v5) / (L(y,z,K(u,w)) * v5) = R(x,y,a(u,z,K(w,y)) * v5). [para(17269(a,1),17272(a,1,1))]. 17461 R(x,y,a(z,u,K(w,y)) * v5) != v6 | R(x,L(y,u,K(z,w)),v5) = v6. [para(17459(a,1),483(a,1))]. 17462 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(17294(a,2),17237(a,1))]. 17463 (a(x,y,y \ 1) \ z) \ (z * (a(x,y,y \ 1) \ u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(17410(a,1),17300(a,1,2,2))]. 17464 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(5383(a,1),17403(a,1,1,1))]. 17465 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(7549(a,1),17464(a,1,1,1))]. 17466 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(240,a,40,a,b,17465,a(flip)),flip(a)]. 17467 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(15334(a,1),17466(a,1,1))]. 17468 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(17467(a,2),12635(a,2,2,2))]. 17469 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(7094(a,1),17225(a,1,1,1))]. 17470 (x * (y * K(z,u))) \ (x * (K(z,T(u,y)) * (y * w))) = L(L(w,y,K(z,u)),y * K(z,u),x). [para(7611(a,1),17223(a,2,2))]. 17472 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(16051(a,1),17290(a,1,1))]. 17473 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(16135(a,1),17472(a,1,2))]. 17474 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5193,a,17473,a)]. 17475 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(240,a,13618,a(flip),b,17474,a(flip))]. 17476 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(4803,a,17475,a),flip(a)]. 17477 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(16390(a,1),17476(a,1,2,2))]. 17478 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4800(a,2),17477(a,1,2)),flip(a)]. 17480 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(17478(a,2),13851(a,1,2,2))]. 17481 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,w / z))) = K(y,L((z * u) / w,v5,u \ 1)). [para(17355(a,1),17370(a,1,2,2))]. 17482 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). [para(17213(a,1),17481(a,1,2,2))]. 17483 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(16090(a,1),17256(a,2,2))]. 17484 (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(679(a,1),17315(a,1,1,2,2))]. 17485 (x * R(y,z,z \ 1)) / (y * a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). [para(122(a,1),17484(a,1,1))]. 17486 (x * R(y,z,z \ 1)) / R(y,z,z \ 1) = L(x,a(y,z,z \ 1),y). [para(679(a,1),17485(a,1,2))]. 17487 L(x,a(y,z,z \ 1),y) = x. [hyper(308,a,17486,a),flip(a)]. 17489 L(x,a(y,z \ 1,z),y) = x. [para(4701(a,1),17487(a,1,2))]. 17490 ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [hyper(240,a,13004,a,b,17489,a(flip)),flip(a)]. 17491 ((x * (x * a(x,y \ 1,y))) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(12477(a,1),17490(a,1,1,1,2))]. 17492 ((x * R(x,y \ 1,y)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(3580(a,1),17491(a,1,1,1,2))]. 17493 R(x,y \ 1,y) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(617(a,1),17492(a,1,1))]. 17494 R(x,y \ 1,y) \ (x * z) = a(x,y \ 1,y) \ z. [para(13340(a,1),17493(a,1,2,1))]. 17495 x * (R(x,y \ 1,y) \ z) = a(x,y \ 1,y) \ z. [hyper(240,a,1169,a(flip),b,17494,a(flip)),flip(a)]. 17496 L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ (1 / x). [hyper(240,a,3811,a(flip),b,17495,a(flip)),flip(a)]. 17497 (1 / x) \ L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ 1. [hyper(73,a,17496,a,b,17427,a)]. 17498 L(x \ 1,x,y * (x \ 1)) * x = a(y,x \ 1,x) \ 1. [hyper(1147,a,17497,a)]. 17499 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L((y \ 1) \ 1,y \ 1,x) * (y \ 1). [para(315(a,1),17498(a,1,1,3)),flip(a)]. 17500 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(17498(a,1),9603(a,1,2,1))]. 17501 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. [para(513(a,1),17418(a,2,1,1))]. 17502 ((x * ((y \ x) \ 1)) \ y) \ z = (y \ (x * ((y \ x) \ 1))) * z. [para(56(a,1),17501(a,1,1,1)),flip(a)]. 17503 (x \ (y * ((x \ y) \ 1))) \ 1 = (y * ((x \ y) \ 1)) \ x. [hyper(375,a,17502,a)]. 17504 (x \ (y * ((x \ y) \ 1))) \ z = z * ((y * ((x \ y) \ 1)) \ x). [para(17503(a,1),17394(a,1,2)),flip(a)]. 17505 x / (y \ (z * ((y \ z) \ 1))) = x * ((z * ((y \ z) \ 1)) \ y). [hyper(240,a,13554,a,b,17504,a(flip)),flip(a)]. 17506 x * ((y * (((y / z) \ y) \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. [para(65(a,1),17504(a,1,1,2,2,1)),flip(a)]. 17507 (x * (y \ (z * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. [hyper(523,a,17505,a)]. 17508 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. [para(65(a,1),17507(a,1,1,2,2,2,1)),flip(a)]. 17509 ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (y \ 1)) \ (x / y)). [para(65(a,1),17506(a,1,2,1,2,1)),flip(a)]. 17510 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((y \ x) \ (((y \ x) * y) * (y \ 1)))) \ z. [para(10184(a,2),17508(a,2,1,2))]. 17511 (x * a(y \ z,y,y \ 1)) \ x = (z * (((z / y) \ z) \ 1)) \ (z / y). [para(170(a,1),17510(a,2,1,2)),flip(a)]. 17512 a(x \ y,x,x \ 1) \ 1 = (y * (((y / x) \ y) \ 1)) \ (y / x). [hyper(14143,a,17511,a)]. 17513 a(x \ y,x,x \ 1) \ 1 = (y * (x \ 1)) \ (y / x). [para(65(a,1),17512(a,2,1,2,1))]. 17514 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(16988(a,1),17483(a,1,1))]. 17515 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(7094(a,1),17385(a,1,2,1,1))]. 17517 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(16150(a,1),17480(a,1,2,2,1)),flip(a)]. 17518 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(240,a,5033,a(flip),b,17517,a)]. 17520 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(240,a,16379,a(flip),b,17518,a(flip))]. 17522 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(240,a,12847,a(flip),b,17520,a(flip))]. 17523 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5597,a,17522,a)]. 17524 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(240,a,5486,a(flip),b,17523,a)]. 17525 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(16811(a,1),17524(a,1,1,2))]. 17526 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(240,a,16820,a(flip),b,17525,a(flip)),flip(a)]. 17528 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(16358,a,17526,a(flip)),flip(a)]. 17529 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),17528(a,2,1,2,2))]. 17530 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(240,a,16349,a,b,17529,a(flip)),flip(a)]. 17533 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(240,a,16345,a(flip),b,17530,a)]. 17534 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5178(a,1),17533(a,2,1,2))]. 17535 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4977(a,1),17534(a,1,1,2,1,2,1))]. 17536 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(10751(a,1),17535(a,1,1,2,1))]. 17537 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(13825(a,1),17536(a,1,1,2))]. 17538 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(16542,a,17537,a),flip(a)]. 17539 K(x \ (y * (z * K(u,w))),v5) = K(K(u,w) * (x \ (y * z)),v5). [hyper(240,a,16944,a(flip),b,17537,a(flip))]. 17540 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(189(a,1),17538(a,1,1))]. 17541 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7304,a,17540,a)]. 17542 K(L(x,K(y,z),u),w) = K(x,w). [hyper(14906,a,17541,a)]. 17543 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11312,a,17542,a)]. 17546 K(L(x,K(y,z),u),w) = v5 / (K(w,x) * v5). [hyper(240,a,5184,a,b,17542,a)]. 17549 a(x,K(y,z),K(u,w)) = 1. [hyper(72,a,17542,a,b,11300,a),flip(a)]. 17552 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(240,a,14532,a(flip),b,17542,a(flip)),flip(a)]. 17555 (x * (K(y,z) * K(u,w))) * 1 = (x * K(u,w)) * K(y,z). [para(17549(a,1),15061(a,1,2))]. 17556 L(x,K(y,z),K(u,w)) = 1 * x. [para(17549(a,1),16828(a,1,1)),flip(a)]. 17561 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(5202(a,1),17543(a,1,2))]. 17562 (K(x,y) * K(z,u)) * w = K(x,y) * (K(z,u) * w). [para(17543(a,1),14459(a,1,1)),flip(a)]. 17563 K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). [para(17216(a,1),17543(a,1,2))]. 17564 L(x,K(y,z),K(u,w)) = x. [hyper(240,a,11,a(flip),b,17556,a)]. 17567 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(71,a,17556,a(flip),b,16866,a(flip))]. 17570 L(x,K(y,z),K(u,w)) != v5 | v5 = x. [para(17556(a,2),76(a,1))]. 17577 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [para(17564(a,1),16871(a,1,1)),flip(a)]. 17578 (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). [para(17564(a,1),16908(a,1,2))]. 17580 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(5202(a,1),17567(a,1,2))]. 17581 T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). [para(17216(a,1),17567(a,1,2))]. 17585 L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). [hyper(240,a,13046,a(flip),b,17577,a(flip)),flip(a)]. 17586 K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. [para(17546(a,2),5194(a,1))]. 17587 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(11306(a,2),17586(a,1))]. 17588 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(11309(a,1),17586(a,1))]. 17589 K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),w) = v5. [para(17216(a,1),17586(a,1,1))]. 17590 K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. [para(6672(a,1),17587(a,1))]. 17591 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(5202(a,1),17588(a,1,2))]. 17595 ((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(17585(a,1),11994(a,1,2,1,2))]. 17597 K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). [hyper(240,a,14951,a,b,17552,a)]. 17598 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(240,a,15233,a,b,17561,a(flip)),flip(a)]. 17599 x * K(y * K(z,u),K(u,z) * (y \ x)) != w | (y * K(z,u)) * (x / (y * K(z,u))) = w. [para(17561(a,1),5138(a,1,2))]. 17600 K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(5929(a,1),17561(a,1,2,1)),flip(a)]. 17601 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [para(7104(a,1),17561(a,1,2,1)),flip(a)]. 17602 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(17561(a,1),10396(a,1,2,2))]. 17603 K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). [para(14083(a,1),17561(a,1,2,1)),flip(a)]. 17604 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(240,a,16316,a,b,17562,a)]. 17610 K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)). [hyper(15276,a,17563,a)]. 17611 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(240,a,14164,a(flip),b,17563,a(flip))]. 17612 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(240,a,17321,a(flip),b,17578,a(flip))]. 17613 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(15307,a,17580,a)]. 17614 T(x,(y * K(z,u)) \ w) = T(x,K(z,u) * (y \ w)). [hyper(240,a,14584,a,b,17580,a)]. 17615 K(x * ((y * K(z,u)) \ w),T(v5,K(u,z) * (y \ w))) = K(((K(z,u) * y) \ w) * x,v5). [para(17580(a,1),16815(a,1,2))]. 17616 T(x,(y / z) * K(u,T(w,z))) = T(x,y / (z * K(w,u))). [para(7640(a,1),17581(a,1,2,2)),flip(a)]. 17617 K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). [hyper(240,a,15254,a(flip),b,17597,a(flip)),flip(a)]. 17618 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(16140,a,17598,a)]. 17619 K(x,(K(y,z) * u) \ w) = K(x,K(y,z) * (u \ w)). [hyper(240,a,14593,a,b,17598,a)]. 17620 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(240,a,16254,a(flip),b,17598,a(flip)),flip(a)]. 17621 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(5078(a,1),17598(a,1,2,1)),flip(a)]. 17622 K(x,K(y,z) * ((K(y,z) * u) \ w)) = K(x,u \ w). [para(5178(a,1),17598(a,1,2,1)),flip(a)]. 17623 K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). [para(5327(a,2),17598(a,1,2,1))]. 17624 K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x / (K(w,u) * z)). [para(17598(a,1),15513(a,1,2))]. 17630 K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. [para(13715(a,1),17604(a,1,1)),flip(a)]. 17631 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(14931,a,17611,a)]. 17632 K(x,y * (K(z,u) * (w \ 1))) = K(x,(y / w) * K(z,u)). [hyper(240,a,15414,a,b,17611,a),flip(a)]. 17633 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u) / z). [hyper(240,a,17125,a(flip),b,17611,a(flip))]. 17634 K(x,(y * z) * (z \ K(u,w))) = K(x,y * K(u,w)). [para(15(a,1),17611(a,1,2,1)),flip(a)]. 17635 K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. [para(17611(a,1),14931(a,1))]. 17636 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [para(5929(a,1),17614(a,1,2,1)),flip(a)]. 17637 T(x,K(y \ z,y) * ((u * z) \ w)) = T(x,(u * ((y \ z) * y)) \ w). [para(10032(a,1),17614(a,1,2,1)),flip(a)]. 17638 K(x / (y * K(z,u)),w) = K(K(u,z) * (x / y),w). [para(5183(a,1),17617(a,2,1))]. 17640 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(14459(a,1),17618(a,1,2,2)),flip(a)]. 17641 K(x,y \ (z * K(u,w))) = K(x,K(w,u) * (y \ z)). [hyper(240,a,16254,a(flip),b,17619,a(flip)),flip(a)]. 17642 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [para(4815(a,1),17619(a,1,2,1)),flip(a)]. 17643 K(x,K(y,z) * ((z \ u) \ w)) = K(x,(T(z,y) \ u) \ w). [para(5078(a,1),17619(a,1,2,1)),flip(a)]. 17644 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(17619(a,2),14594(a,1))]. 17645 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(y,y \ z) * ((z \ u) \ w)). [hyper(240,a,16106,a,b,17620,a(flip)),flip(a)]. 17646 K(x,y \ T(z * K(u,w),u)) = K(x,K(u,w) * (y \ T(z,u))). [para(6877(a,2),17620(a,1,2,2))]. 17647 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(17620(a,1),13780(a,1))]. 17648 K(x,K(y,z) * (u \ (w \ y))) = K(x,u \ (w \ T(y,z))). [para(14083(a,1),17620(a,1,2,2)),flip(a)]. 17649 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(17424(a,1),17622(a,1,2,2,1))]. 17650 K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). [hyper(240,a,13699,a(flip),b,17631,a)]. 17651 K(x,y * (z \ K(z,u))) != w | K(x,y / T(z,u)) = w. [para(17631(a,1),15187(a,1))]. 17652 K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u). [hyper(240,a,16701,a(flip),b,17633,a(flip)),flip(a)]. 17653 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u) / w). [hyper(240,a,16269,a,b,17652,a(flip)),flip(a)]. 17654 K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),w). [hyper(240,a,15095,a,b,17638,a)]. 17656 K(x,K(y,z) * (u \ (w \ z))) = K(x,u \ (w \ T(z,y))). [para(14083(a,1),17641(a,1,2,2)),flip(a)]. 17658 K(K(x,y) * (z / (u / y)),w) = K(z / (u / T(y,x)),w). [para(7104(a,1),17654(a,1,1,2)),flip(a)]. 17660 K(x,y * (((1 / z) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(13650(a,1),17651(a,1,2,2,2))]. 17661 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [hyper(86,a,17555,a),flip(a)]. 17664 (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). [hyper(13808,a,17661,a)]. 17668 ((x * y) * (K(z,u) * K(w,v5))) / ((y * K(w,v5)) * K(z,u)) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [para(17661(a,1),475(a,1,1))]. 17672 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(17661(a,1),17469(a,1,1))]. 17673 K(x,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [hyper(14594,a,17600,a)]. 17674 K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,w)) \ u). [hyper(15147,a,17601,a)]. 17675 K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [hyper(14594,a,17601,a)]. 17676 K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). [hyper(14910,a,17603,a)]. 17677 K(x,K(y,T(z,u)) * ((w \ z) \ v5)) = K(x,(w \ T(z,y)) \ v5). [hyper(240,a,15232,a,b,17603,a(flip)),flip(a)]. 17678 T(x,y / (z * K(u,w))) = T(x,K(u,w) * (y / z)). [hyper(15324,a,17616,a),flip(a)]. 17680 T(x,y / (z * K(u,u \ w))) = T(x,K(w,u) * (y / z)). [hyper(240,a,14586,a(flip),b,17678,a)]. 17681 T(x,(y * K(z,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(240,a,16117,a,b,17678,a(flip)),flip(a)]. 17683 T(x,(y * K(z \ 1,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(240,a,16618,a(flip),b,17681,a)]. 17685 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(15147,a,17621,a)]. 17686 K(x,((y \ z) \ u) * K(y,w)) = K(x,(T(y,w) \ z) \ u). [hyper(14910,a,17621,a)]. 17687 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(17630(a,1),16401(a,1,2))]. 17688 K(x,(y / z) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(17632(a,1),15300(a,1))]. 17689 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(9610(a,1),17642(a,1,2,2,1))]. 17690 K(x,y \ (z \ T(u,z))) = K(x,y \ (u / z)). [hyper(240,a,16569,a(flip),b,17648,a(flip))]. 17692 K(x / (y / T(z,y)),u) = K(x / (z \ y),u). [hyper(240,a,15134,a(flip),b,17658,a(flip))]. 17693 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(16912(a,1),17692(a,2,1,2))]. 17694 K(x,K(y,T(z,u)) * ((w * y) \ v5)) = K(x,(w * T(y,z)) \ v5). [hyper(240,a,15232,a,b,17673,a(flip)),flip(a)]. 17695 K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). [para(7142(a,1),17675(a,1,2,1))]. 17696 T(x,y / (z * K(u,u \ z))) = T(x,y / T(z,u)). [hyper(240,a,15046,a(flip),b,17680,a)]. 17697 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [para(4976(a,1),17696(a,1,2,2))]. 17698 T(x,y / T(z * u,z)) = T(x,y / (T(z,u) * u)). [hyper(240,a,14545,a,b,17697,a(flip))]. 17699 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [hyper(240,a,17091,a(flip),b,17698,a)]. 17700 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). [para(16830(a,1),17699(a,1,2,2))]. 17701 T(x,(y * K(z \ 1,u)) / z) = T(x,y / T(z,u)). [hyper(240,a,14945,a(flip),b,17683,a)]. 17702 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [hyper(240,a,13756,a(flip),b,17701,a(flip)),flip(a)]. 17703 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(x * (1 / y)) \ x). [hyper(6304,a,17702,a),flip(a)]. 17704 K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). [para(17702(a,1),4750(a,2,2))]. 17705 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) \ 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). [para(17254(a,1),17702(a,2,2,2))]. 17706 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(240,a,4750,a,b,17704,a)]. 17707 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [hyper(5627,a,17706,a),flip(a)]. 17708 K(T(x \ 1,y) \ z,u) = K(z * T(x,y),T(u,x)). [hyper(15186,a,17707,a)]. 17709 K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). [hyper(240,a,14921,a(flip),b,17708,a)]. 17710 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(5629,a,17709,a),flip(a)]. 17711 K(T(x \ y,z) * u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(240,a,14062,a(flip),b,17709,a(flip))]. 17712 K(x,K(T(y / z,u) * w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(17709(a,1),12788(a,1,2,1))]. 17713 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x \ 1,y) \ (z \ u)). [para(17710(a,1),13977(a,1,2)),flip(a)]. 17714 K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(15167,a,17685,a)]. 17715 K((x / y) * K(T(z,u),w),T(v5,K(z,w) * y)) = K((K(w,T(z,u)) * y) \ x,v5). [hyper(17589,a,15290,a)]. 17716 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(17589,a,14150,a)]. 17717 K(x * (y \ K(z,L(u,w,v5))),v6) = K(K(u,z) * (x / y),v6). [hyper(16486,a,17716,a),flip(a)]. 17718 K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). [hyper(15318,a,17716,a)]. 17719 K(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). [hyper(15168,a,17716,a)]. 17720 K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). [hyper(240,a,14169,a(flip),b,17719,a)]. 17721 K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). [hyper(15151,a,17720,a)]. 17722 K(x * ((y \ z) \ K(u,y)),w) = K(x / (T(y,u) \ z),w). [hyper(240,a,17719,a(flip),b,17721,a(flip)),flip(a)]. 17723 K(x,y * ((z \ u) \ K(w,z))) = v5 / (K(y / (T(z,w) \ u),x) * v5). [para(17722(a,1),5184(a,1,2,1)),flip(a)]. 17724 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(17590,a,17620,a)]. 17725 K(x,K(y,z) * ((u * w) \ u)) = K(x,w \ K(y,z)). [para(13(a,1),17724(a,1,2,1)),flip(a)]. 17726 K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). [hyper(14611,a,17725,a)]. 17727 K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). [hyper(240,a,17618,a,b,17725,a(flip)),flip(a)]. 17728 K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). [hyper(240,a,17457,a(flip),b,17727,a(flip)),flip(a)]. 17729 K(x,(K(y,z) * u) / w) = K(x,(w / u) \ K(y,z)). [hyper(16586,a,17728,a)]. 17731 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,y \ z)). [para(5055(a,2),17729(a,1,2,1))]. 17732 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(z \ y,z)). [para(5379(a,2),17729(a,1,2,1))]. 17734 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(17563(a,2),17688(a,1))]. 17735 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(17610(a,2),17688(a,1))]. 17736 K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. [para(16583(a,2),17735(a,1))]. 17737 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(16584(a,2),17735(a,1))]. 17738 K(x,(y / z) \ K(u,w)) != v5 | K(x,z * (y \ K(u,w))) = v5. [para(17728(a,1),17735(a,1))]. 17739 K(x \ (y * (z * K(u,w))),v5) = K(K(w,u) * (x \ (y * z)),v5). [hyper(240,a,15095,a,b,17539,a)]. 17740 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). [para(9021(a,2),17539(a,1,1,2,2))]. 17741 K(x,y \ ((z \ u) * T(z,w))) = K(x,K(z,w) * (y \ T(u,z))). [hyper(240,a,12828,a(flip),b,17646,a(flip)),flip(a)]. 17742 K(x,K(y,T(T(z,u),w)) * ((v5 \ z) \ v6)) = K(x,(v5 \ T(z,T(y,w))) \ v6). [para(7142(a,1),17677(a,1,2,1))]. 17743 K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). [hyper(240,a,17673,a(flip),b,17694,a(flip)),flip(a)]. 17744 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [hyper(240,a,17685,a(flip),b,17714,a(flip)),flip(a)]. 17745 K(x * (y \ K(z,u / z)),w) = K((x / y) * K(u,z),w). [hyper(14620,a,17718,a),flip(a)]. 17746 K(x * (y \ K(z,u / z)),w) = K(x * (y \ K(u,z)),w). [hyper(240,a,17716,a(flip),b,17745,a)]. 17747 K(x * (y \ K(z,z \ u)),w) = K(x * (y \ K(u,z)),w). [para(4959(a,1),17746(a,1,1,2,2))]. 17748 K(x * (((y / z) \ 1) \ K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). [hyper(240,a,14223,a(flip),b,17747,a(flip))]. 17750 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(u \ (w * (T(y * z,x) * K(z,v5))),v6). [para(15120(a,1),17739(a,1,1,2,2)),flip(a)]. 17751 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(12855,a,17741,a),flip(a)]. 17752 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [hyper(240,a,17643,a(flip),b,17623,a),flip(a)]. 17753 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17744,a(flip),b,17752,a(flip))]. 17754 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(65(a,1),17753(a,1,2,1)),flip(a)]. 17755 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [hyper(240,a,16785,a(flip),b,17754,a(flip))]. 17756 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(15310,a,17755,a),flip(a)]. 17757 K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. [para(17755(a,1),15310(a,1))]. 17758 K(x,y / (T(z,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). [para(14941(a,1),17756(a,1,2,2,2))]. 17759 K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. [para(3924(a,2),17757(a,1,2,2))]. 17760 K(x,K(y,z)) * K(y,K(u,w) * (z \ x)) = K(y,x * (z \ K(u,w))). [hyper(240,a,14164,a(flip),b,17624,a)]. 17761 T(x,(y * ((z \ u) * z)) \ w) = T(x,K(u,z) * ((y * u) \ w)). [hyper(14636,a,17637,a),flip(a)]. 17762 T(x,(y * ((z \ u) * z)) \ w) = T(x,(y * T(u,z)) \ w). [hyper(240,a,17636,a(flip),b,17761,a)]. 17763 K(x,(y / T(z,T(u,w))) \ v5) = K(x,((y / z) \ v5) * K(u,z)). [hyper(15284,a,17695,a),flip(a)]. 17765 K(x,(y / T(z,T(u,w))) \ v5) = K(x,(y / T(z,u)) \ v5). [hyper(240,a,17674,a(flip),b,17763,a)]. 17766 K(T(1 \ (x / y),z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(240,a,9467,a(flip),b,17711,a)]. 17767 K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). [hyper(240,a,16328,a(flip),b,17723,a)]. 17768 K(x,y / (T(z,u) \ w)) != v5 | K(x,K(u,z) * (y / (z \ w))) = v5. [para(17767(a,1),17635(a,1))]. 17769 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(240,a,12811,a(flip),b,17731,a)]. 17770 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,u * (w \ K(y,z))). [hyper(17738,a,17769,a(flip)),flip(a)]. 17771 K(x,(K(y,y \ z) * u) / w) = K(x,u * (w \ K(y,z))). [para(5055(a,1),17770(a,1,2,1))]. 17772 K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). [hyper(17736,a,17771,a)]. 17773 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,u))). [hyper(240,a,17038,a(flip),b,17772,a(flip)),flip(a)]. 17774 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(240,a,12807,a(flip),b,17732,a)]. 17775 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,u * (w \ K(y,z))). [hyper(17738,a,17774,a(flip)),flip(a)]. 17776 K(x,(K(y \ z,y) * u) / w) = K(x,u * (w \ K(z,y))). [para(5379(a,1),17775(a,1,2,1))]. 17777 K(x,y * (z \ K(u \ w,u))) = K(x,y * (z \ K(w,u))). [hyper(17736,a,17776,a)]. 17778 K(x,y / (z * (u / z))) = K(x,y * (u \ K(u,z))). [hyper(13824,a,17777,a)]. 17779 K(x,y * (((z / u) \ w) \ K(z,u))) = K(x,y * (((u \ z) \ w) \ 1)). [para(14156(a,1),17777(a,1,2,2)),flip(a)]. 17780 K(x,y / (z * (u / z))) != w | K(x,y / T(u,z)) = w. [para(17778(a,2),17651(a,1))]. 17781 K(x * (y / ((z \ u) * z)),w) = K(x * ((y / u) * K(u,z)),w). [hyper(14222,a,17748,a),flip(a)]. 17782 K(x * (y / ((z \ u) * z)),w) = K(x * (y / T(u,z)),w). [hyper(240,a,16457,a(flip),b,17781,a)]. 17783 K(x * (T(y,T(z,u)) / T(z,u)),w) = K(x * (((u \ z) * u) \ y),w). [hyper(12793,a,17782,a),flip(a)]. 17784 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y * (z \ K(u,w))). [para(7487(a,1),17760(a,1,1))]. 17785 K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ w)) = v5. [para(17779(a,2),13799(a,1))]. 17786 K(x * (((y \ z) * y) \ u),w) = K(x * (T(z,y) \ u),w). [hyper(12792,a,17783,a),flip(a)]. 17787 K(x * (T(y,z) \ u),z \ y) = K(x * (y \ u),z \ y). [hyper(240,a,9668,a(flip),b,17786,a(flip))]. 17788 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [para(13(a,1),17786(a,1,1,2,1,1)),flip(a)]. 17789 K(x \ y,z * (T(y,x) \ u)) = w / (K(z * (y \ u),x \ y) * w). [para(17787(a,1),5184(a,1,2,1)),flip(a)]. 17790 K(x * (T(y * z,y) \ u),T(w,x)) = K(((z * y) \ u) * x,w). [hyper(240,a,10329,a(flip),b,17788,a)]. 17791 K((T(x * y,x) \ z) * u,w) = K(((y * x) \ z) * u,w). [hyper(10346,a,17790,a)]. 17792 K((((x \ y) * x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [para(14(a,1),17791(a,1,1,1,1,1)),flip(a)]. 17793 K(x,(T(y * z,y) \ u) * w) = v5 / (K(((z * y) \ u) * w,x) * v5). [para(17791(a,1),5184(a,1,2,1)),flip(a)]. 17794 K(((x \ y) * T(x,z)) \ u,w) = K((T(y,x) \ u) * K(z,x),w). [hyper(240,a,16970,a(flip),b,17792,a(flip)),flip(a)]. 17795 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(17,a,15514,a,b,17784,a),flip(a)]. 17796 x / (K(y,K(z,u) * (w \ v5)) * x) = K((w \ K(z,u)) * v5,y). [para(17795(a,1),5184(a,1,2,1))]. 17797 K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). [hyper(16329,a,17796,a),flip(a)]. 17798 K((x \ K(y,z)) * u,w) != v5 | K(K(y,z) * (x \ u),w) = v5. [para(17796(a,1),5194(a,1))]. 17799 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(x,y)),w). [hyper(10338,a,17797,a),flip(a)]. 17801 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(16959,a,17799,a)]. 17802 K(x * ((T(y,z) / u) \ K(y,w)),v5) = K(x / (T(T(y,w),z) / u),v5). [hyper(240,a,17079,a(flip),b,17799,a(flip))]. 17803 K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). [hyper(240,a,16111,a(flip),b,17801,a(flip))]. 17804 K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * ((1 / x) \ u),w) = v5. [para(13583(a,1),17798(a,1,1,1))]. 17805 K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). [hyper(17804,a,16455,a)]. 17806 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(17076,a,17805,a)]. 17807 K((x \ K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [para(13577(a,1),17806(a,1,1,1))]. 17808 K(x * (y * K(z,z \ u)),w) = K(x * (y * K(z,u)),w). [hyper(240,a,17003,a(flip),b,17807,a(flip)),flip(a)]. 17809 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(240,a,15357,a(flip),b,17808,a(flip)),flip(a)]. 17810 K(x \ y,z * (T(y,x) \ u)) = K(x \ y,z * (y \ u)). [hyper(240,a,16328,a(flip),b,17789,a)]. 17811 K(x,(T(y * z,y) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(240,a,16328,a(flip),b,17793,a)]. 17813 K(x,(((y * K(z * y,u)) * z) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). [para(13658(a,1),17811(a,1,2,1,1,1)),flip(a)]. 17814 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(17687,a,17640,a),flip(a)]. 17816 K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(u,w) * (y \ (z * v5))). [hyper(240,a,16291,a(flip),b,17814,a(flip)),flip(a)]. 17817 K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * ((w * K(y,z)) * v5)). [hyper(13780,a,17816,a),flip(a)]. 17818 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * ((z * v5) * K(u,w))). [hyper(17647,a,17817,a),flip(a)]. 17819 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). [hyper(240,a,16412,a(flip),b,17818,a)]. 17820 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * (u * (K(w,v5) * z))). [hyper(240,a,15622,a(flip),b,17819,a(flip))]. 17821 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). [hyper(240,a,17119,a(flip),b,17820,a(flip)),flip(a)]. 17822 K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))) = K(x,y * ((z / T(u,K(w,v5))) * v6)). [para(14955(a,1),17821(a,1,2,2,1)),flip(a)]. 17823 K(x / (y * (z * K(u,w))),v5) = K(K(u,w) * (x / (y * z)),v5). [hyper(240,a,17717,a(flip),b,17803,a(flip))]. 17825 K(K(x,y) * (z / (u * w)),T(v5,u * w)) = K((u * (w * K(x,y))) \ z,v5). [hyper(240,a,15645,a(flip),b,17823,a(flip))]. 17826 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,T(z,v6))). [hyper(15284,a,17742,a),flip(a)]. 17828 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(240,a,15235,a(flip),b,17826,a)]. 17829 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(240,a,17676,a(flip),b,17828,a)]. 17830 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(z \ u,z)). [para(10631(a,2),17828(a,1,2,1,2))]. 17831 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). [para(13526(a,2),17828(a,1,2,1,2))]. 17832 K(x,y / (T(z,u) \ T(w,T(z,u)))) = K(x,y / (w / T(z,T(u,v5)))). [hyper(16516,a,17758,a)]. 17833 K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). [hyper(17757,a,17832,a),flip(a)]. 17834 K(x / (y / T(z,T(u,w))),v5) = v6 / (K(v5,x / (y / T(z,u))) * v6). [para(17833(a,1),5184(a,1,2,1)),flip(a)]. 17835 K(x / (y / T(z,T(u,w))),v5) = K(x / (y / T(z,u)),v5). [hyper(240,a,16328,a(flip),b,17834,a)]. 17836 K(x / (y / T(z,T(u,w))),v5) != v6 | K(x / (y / T(z,u)),v5) = v6. [para(17834(a,2),5194(a,1))]. 17837 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(240,a,12892,a(flip),b,17830,a)]. 17838 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(240,a,17676,a(flip),b,17837,a)]. 17839 K(x,(y \ T(z / u,z)) \ w) = K(x,(y \ (u \ z)) \ w). [para(6314(a,1),17838(a,1,2,1,2)),flip(a)]. 17840 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(6096(a,2),17839(a,1,2,1))]. 17841 K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). [para(7142(a,1),17715(a,1,1,2))]. 17842 K(x,(T(T(y * z,u),y) \ w) * v5) = K(x,(T(z * y,u) \ w) * v5). [para(13659(a,1),17813(a,1,2,1,1)),flip(a)]. 17843 K(x,y * ((z / T(u,K(w,v5))) * v6)) != v7 | K(x,y * ((z / u) * v6)) = v7. [para(17822(a,1),16220(a,1))]. 17844 K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). [hyper(15700,a,17841,a),flip(a)]. 17845 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(T(y,v5),x),w). [hyper(16976,a,17844,a),flip(a)]. 17847 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(y,T(x,v5)),w). [para(7142(a,1),17845(a,2,1,2))]. 17848 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K(K(x,y) * (u \ z),w). [hyper(240,a,15696,a(flip),b,17847,a)]. 17849 K(K(x,y) * (z / u),T(w,u)) = K(K(x,y) * (u \ z),w). [hyper(15427,a,17848,a)]. 17851 K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) * ((x * y) \ w),v5). [hyper(240,a,17825,a(flip),b,17849,a(flip)),flip(a)]. 17852 x / (K(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ v5). [para(17851(a,1),5184(a,1,2,1))]. 17853 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) * ((y * z) \ v5)). [hyper(16329,a,17852,a),flip(a)]. 17854 K(x,K(y \ 1,y * z) * ((u * z) \ w)) = K(x,(u * T(z,L(y \ 1,y,z))) \ w). [hyper(240,a,17067,a(flip),b,17853,a(flip))]. 17855 K(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(5525(a,1),17660(a,1))]. 17856 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,((y * z) \ w) * K(u,u * z)). [hyper(15148,a,17854,a),flip(a)]. 17857 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,K(u,z) * ((y * z) \ w)). [hyper(240,a,15052,a(flip),b,17856,a)]. 17858 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,(y * T(z,u)) \ w). [hyper(240,a,17600,a(flip),b,17857,a)]. 17859 K(x,(y * T(z,u \ 1)) \ w) = K(x,(y * T(z,u)) \ w). [para(6099(a,1),17858(a,1,2,1,2))]. 17862 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(17859(a,1),15665(a,1,1))]. 17863 K(x,y / (z * T(u,1 / w))) = K(x,y / (z * T(u,w))). [hyper(240,a,15646,a(flip),b,17862,a(flip))]. 17864 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). [para(62(a,1),17863(a,1,2,2,2,2)),flip(a)]. 17865 K(x * ((y * K(z,u)) \ w),T(v5,y \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(15427,a,17615,a)]. 17866 K(x * (y \ (K(z,u) * w)),T(v5,y \ w)) = K(((K(u,z) * y) \ w) * x,v5). [hyper(17182,a,17865,a)]. 17868 K(x * (K(y,z) * (u \ w)),T(v5,u \ w)) = K(((K(z,y) * u) \ w) * x,v5). [hyper(240,a,17186,a(flip),b,17866,a(flip)),flip(a)]. 17869 K(((K(x,y) * z) \ u) * w,v5) = K(K(y,x) * ((z \ u) * w),v5). [hyper(16491,a,17868,a),flip(a)]. 17870 K(K(x,x \ y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(240,a,16817,a(flip),b,17869,a(flip))]. 17871 K(K(x,y) * (((z * y) \ u) * w),v5) = K(((z * T(y,x)) \ u) * w,v5). [hyper(240,a,16816,a(flip),b,17869,a(flip))]. 17872 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * T(x,y)) \ u) * w,v5). [hyper(15151,a,17871,a)]. 17873 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(12733,a,17870,a)]. 17874 K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y)) \ u) * w,v5). [hyper(240,a,17872,a(flip),b,17873,a(flip))]. 17875 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(z,y) * ((z \ u) \ w)). [hyper(240,a,14595,a(flip),b,17645,a)]. 17876 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17621,a(flip),b,17875,a)]. 17877 K(x,((y * (z / y)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(15258,a,17876,a)]. 17879 K(x,(T(y * z,y) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [hyper(240,a,14020,a(flip),b,17877,a(flip))]. 17880 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z * u,z) * (x \ (y * u)),w). [hyper(240,a,15196,a(flip),b,17740,a)]. 17881 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z,u) * (x \ (y * u)),w). [hyper(240,a,15099,a(flip),b,17880,a)]. 17882 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(x \ (y * T(u,z)),w). [hyper(240,a,16995,a(flip),b,17881,a)]. 17883 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (((z * u) \ z) \ z)),w). [hyper(240,a,14747,a,b,17882,a(flip))]. 17884 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * (u * z)),w). [hyper(240,a,14746,a(flip),b,17883,a(flip))]. 17885 K(x \ ((1 / y) * (y * z)),u) = K(x \ ((z * y) * (1 / y)),u). [para(6149(a,1),17884(a,1,1,2)),flip(a)]. 17886 K(x \ ((y * z) * (1 / z)),u) = K(x \ L(y,z,z \ 1),u). [para(2709(a,1),17885(a,1,1,2)),flip(a)]. 17887 K(x \ ((y * z) * (z \ 1)),u) = K(x \ L(y,z,z \ 1),u). [hyper(17055,a,17886,a)]. 17888 K(x \ R(y,z,z \ 1),u) = K(x \ L(y,z,z \ 1),u). [para(203(a,1),17887(a,1,1,2))]. 17889 K((1 / x) \ L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [hyper(240,a,13914,a(flip),b,17888,a(flip))]. 17890 K(R(x,y,y \ 1) * T(z,x),u) = K(z * L(x,y,y \ 1),u). [hyper(13971,a,17889,a),flip(a)]. 17891 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(13751(a,1),17890(a,1,1))]. 17892 K(a(x,y,y \ 1),T(z,u)) = K((x \ 1) * L(x,y,y \ 1),z). [hyper(16305,a,17891,a)]. 17893 K(a(x,y,y \ 1),T(z,u)) = K(x \ L(x,y,y \ 1),z). [hyper(240,a,13649,a(flip),b,17892,a)]. 17894 K(x \ L(x,y,y \ 1),z) = a(x,y,K(y \ 1,z)). [hyper(16133,a,17893,a),flip(a)]. 17895 K(x \ L(x,y,y \ 1),z) = 1. [hyper(240,a,10776,a(flip),b,17894,a)]. 17897 T(x * 1,y \ L(y,z,z \ 1)) = x. [para(17895(a,1),4777(a,1,1,2))]. 17898 T(x,y \ L(y,z,z \ 1)) = x. [para(12(a,1),17897(a,1,1))]. 17899 T(x,a(y \ 1,y,z) \ 1) = x. [hyper(240,a,13209,a,b,17898,a(flip)),flip(a)]. 17900 x * (a(y \ 1,y,z) \ 1) = a(y \ 1,y,z) \ x. [hyper(17296,a,17899,a)]. 17901 (a(x \ 1,x,y) \ 1) * z = z * (a(x \ 1,x,y) \ 1). [hyper(2125,a,17899,a),flip(a)]. 17902 (a(x \ 1,x,y) \ 1) * z = a(x \ 1,x,y) \ z. [hyper(240,a,17900,a(flip),b,17901,a)]. 17903 (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. [hyper(73,a,13,a(flip),b,17902,a)]. 17904 K(T(x / y,z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [para(51(a,1),17766(a,1,1,1,1))]. 17905 K(T(x / y,z) * u,T(y / x,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(9468,a,17904,a)]. 17906 K(T(x / y,z) * u,T(y / x,w)) = K((x / y) * u,T(y / x,w)). [para(51(a,1),17905(a,2,1,1))]. 17907 K((x / y) * z,T(y / x,u)) = K((y \ x) * z,T(y / x,u)). [hyper(240,a,12748,a(flip),b,17906,a(flip))]. 17908 K(T(x / y,z) * u,T(y / x,w)) = K((y \ x) * u,T(y / x,w)). [hyper(240,a,17906,a,b,17907,a(flip)),flip(a)]. 17909 K(x,K((y \ z) * u,T(y / z,w)) * v5) = K(x,K(u,T((z / y) \ 1,w)) * v5). [para(17908(a,1),17712(a,1,2,1))]. 17910 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,u / z)). [hyper(15284,a,17909,a),flip(a)]. 17913 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,z \ u)). [hyper(240,a,15285,a(flip),b,17910,a)]. 17914 K(x,K(y,T(z / u,w)) * v5) = K(x,v5 * K((z \ u) * y,u \ z)). [para(9467(a,1),17913(a,1,2,1))]. 17915 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,z / u)). [hyper(15284,a,17914,a),flip(a)]. 17916 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,u \ z)). [hyper(240,a,15285,a(flip),b,17915,a)]. 17917 K(x,K(y \ z,(z \ y) * u) * w) = K(x,w * K(u,y \ z)). [hyper(15056,a,17916,a)]. 17918 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,K(u,z) * ((y \ z) \ v6)). [hyper(240,a,15763,a(flip),b,17831,a)]. 17920 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,(y \ T(z,u)) \ v6). [hyper(240,a,17603,a(flip),b,17918,a)]. 17921 K(x,(y \ T(z,T(K(u,w) * v5,w))) \ v6) = K(x,(y \ T(z,v5)) \ v6). [para(13526(a,1),17920(a,1,2,1,2))]. 17922 K(x,(y \ T(z,K(u,w) * v5)) \ v6) = K(x,(y \ T(z,v5)) \ v6). [hyper(240,a,17829,a(flip),b,17921,a(flip)),flip(a)]. 17924 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,K(y,z \ u)) * K(x,(z \ T(u,v6)) \ y). [para(17922(a,1),15539(a,1,2)),flip(a)]. 17925 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,y / (z \ T(u,v6))). [hyper(240,a,15539,a(flip),b,17924,a)]. 17926 K(x,y / (z \ T(K(u,w) * v5,v5))) = K(x,y / (z \ (K(u,w) * v5))). [para(121(a,1),17925(a,1,2,2,2)),flip(a)]. 17927 K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ (v5 * K(u,w)))). [para(12835(a,1),17926(a,1,2,2,2)),flip(a)]. 17928 (K(x,y) * z) * (u / (K(x,y) * z)) = (z * K(x,y)) * (u / (z * K(x,y))). [hyper(17599,a,15677,a),flip(a)]. 17929 (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). [hyper(240,a,17432,a(flip),b,17928,a(flip))]. 17930 (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). [para(13582(a,1),17928(a,2,2))]. 17931 (K(x,y) * z) * ((K(x,y) / z) * K(y,x)) = (z * K(x,y)) * (1 / z). [para(16334(a,1),17930(a,1,2))]. 17932 (K(x,y) * z) * T(1 / z,K(x,y)) = (z * K(x,y)) * (1 / z). [para(14138(a,1),17931(a,1,2))]. 17933 (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). [hyper(17444,a,17932,a),flip(a)]. 17934 K(x,y) * K(z,z \ K(y,x)) = z * (K(x,y) / z). [hyper(15145,a,17933,a)]. 17935 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(17929(a,1),16434(a,1,2,2,1))]. 17936 K(K(x,y * z) * (u \ (w * (y * T(z,v5)))),v6) = K(K(z,v5) * (u \ (w * T(y * z,x))),v6). [hyper(240,a,17539,a(flip),b,17750,a)]. 17937 K(K(x,y) * (z \ (u * T(w * x,v5))),v6) = K(z \ (u * T(w * T(x,y),v5)),v6). [hyper(240,a,16997,a(flip),b,17936,a(flip))]. 17938 K(K(x,y) * (z \ T((u * x) * w,K(w,v5))),v6) = K(z \ (w * T(u * T(x,y),T(w,v5))),v6). [para(6178(a,2),17937(a,1,1,2,2))]. 17939 K(x \ (y * T(z * T(u,w),T(y,v5))),v6) = K(K(u,w) * (x \ ((z * u) * y)),v6). [hyper(15316,a,17938,a),flip(a)]. 17940 K(K(x,y) * (z \ ((u * x) * w)),v5) = K(z \ ((u * T(x,y)) * w),v5). [para(3927(a,1),17939(a,1,1,2)),flip(a)]. 17941 K(K(x,y) * (z \ ((u * y) * w)),v5) = K(z \ ((u * T(y,x)) * w),v5). [hyper(15151,a,17940,a)]. 17942 K(x \ (((y / z) * T(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). [para(16(a,1),17941(a,1,1,2,2,1)),flip(a)]. 17943 K(x \ ((y * K(z,u)) * w),v5) = K(K(u,z) * (x \ (y * w)),v5). [para(5928(a,1),17942(a,1,1,2,1))]. 17944 K(K(x,y) * (((z * K(y,x)) * u) \ (z * (u * w))),v5) = K(L(w,u,z * K(y,x)),v5). [para(28(a,2),17943(a,1,1)),flip(a)]. 17945 K(L(x,y,z * K(u,w)),v5) = K((z * y) \ (z * (y * x)),v5). [hyper(240,a,17070,a(flip),b,17944,a(flip))]. 17947 K(L(x,y,z * K(u,w)),v5) = K(L(x,y,z),v5). [para(28(a,2),17945(a,2,1))]. 17948 K(x,L(y,z,u * K(w,v5))) = K(L(x,z,u),y). [hyper(11312,a,17947,a)]. 17949 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(240,a,11309,a(flip),b,17948,a)]. 17950 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). [para(1327(a,1),17949(a,1,2,3))]. 17951 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(6988(a,1),17949(a,1,2,3))]. 17952 a(x,y,K(z * K(u,w),v5)) = K(v5,x) * K(x,L(v5,y,z)). [para(17949(a,1),13602(a,1,2)),flip(a)]. 17953 K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. [para(17949(a,1),13802(a,1))]. 17954 K(K(x,y) * z,a(u,w,v5)) = K(u,v5) \ K(u,L(v5,w,z)). [hyper(73,a,17951,a(flip),b,13642,a),flip(a)]. 17955 K(x,L((y * K(z,u)) \ w,u,y \ u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,16175,a(flip),b,17950,a(flip))]. 17956 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(240,a,13602,a(flip),b,17952,a)]. 17957 a(x,y,K(z * K(u,w),v5)) = a(v5,y,K(x,z)). [hyper(240,a,13563,a(flip),b,17956,a)]. 17958 a(x,y,K(T(z,u) \ w,v5)) = a(x,y,K(z \ w,v5)). [para(7399(a,1),17956(a,1,3,1))]. 17959 a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). [para(17956(a,1),11291(a,1,1))]. 17961 a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). [hyper(16205,a,17957,a)]. 17962 a(x * K(y,z),u,K(w,v5)) = a(w * v5,u,K(v5,x)). [hyper(13890,a,17957,a)]. 17964 L(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)) * x. [para(17961(a,1),16828(a,1,1)),flip(a)]. 17965 a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). [para(124(a,1),17958(a,1,3,1,1)),flip(a)]. 17966 a(x * K(y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(240,a,13607,a(flip),b,17962,a)]. 17967 L(x,y,K(z,u * K(w,v5))) = a(u,y,K(x,z)) * x. [para(17966(a,1),16841(a,1,1)),flip(a)]. 17969 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [hyper(240,a,16841,a(flip),b,17964,a)]. 17970 L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(u,z)). [hyper(240,a,17351,a(flip),b,17969,a(flip)),flip(a)]. 17973 L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). [para(14725(a,1),17970(a,1,3))]. 17974 L(x,y,K(z,u * K(w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(17967(a,2),16919(a,1))]. 17975 L(x,(y * K(z,u)) * w,K(v5,y)) = L(x,w,K(v5,y * K(z,u))). [hyper(17974,a,16896,a)]. 17976 K(K(x,y) * z,a(u,w,v5)) = K(z,a(u,w,v5)). [hyper(240,a,13859,a(flip),b,17954,a)]. 17977 K(x,a(K(y,z) * u,w,v5)) = K(u,a(v5,w,x)). [hyper(16166,a,17976,a)]. 17978 K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(y,x))) = T(z * K(y,x),a(u,w,v5)). [para(17977(a,1),16189(a,1,2,1))]. 17979 a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). [hyper(13771,a,17965,a)]. 17980 a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). [hyper(240,a,13563,a,b,17979,a)]. 17981 L(x,(y * K(z,u)) * w,K(v5,y)) != v6 | L(x,w,K(v5,y)) = v6. [para(17975(a,2),17974(a,1))]. 17982 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),y / x). [hyper(17953,a,16445,a),flip(a)]. 17983 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z \ u,z)). [para(6064(a,2),17959(a,2,2,1)),flip(a)]. 17985 K(x,y) \ (K(z,a(u,w,v5)) * T(z,K(x,y))) = T(z * K(y,x),a(u,w,v5)). [para(7560(a,1),17978(a,1,2,2))]. 17987 K(x,y) \ T(T(z,K(x,y)),a(u,w,v5)) = T(z * K(y,x),a(u,w,v5)). [para(14904(a,1),17985(a,1,2))]. 17988 K(x,y) * T(T(z,K(y,x)),a(u,w,v5)) = T(z * K(x,y),a(u,w,v5)). [hyper(5193,a,17987,a)]. 17989 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(7572,a,17988,a),flip(a)]. 17990 (T(x,a(y,z,u)) * K(w,v5)) / T(x,a(y,z,u)) = K(w,T(v5,a(y,z,u) * x)). [hyper(75,a,17989,a(flip),b,16749,a)]. 17991 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(16824(a,2),17989(a,2,1))]. 17992 L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = v6. [para(17991(a,1),16825(a,1))]. 17993 K(x,T(y,T(z,a(u,w,v5)))) = K(x,T(y,a(u,w,v5) * z)). [hyper(7593,a,17990,a)]. 17994 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(14986,a,17993,a),flip(a)]. 17995 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [hyper(14993,a,17994,a)]. 17996 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5)). [hyper(11312,a,17994,a)]. 17998 T(x,T(y,a(z,u,w) * v5)) = x * K(x,T(y,v5)). [para(17994(a,1),4800(a,2,2))]. 17999 (a(x,y,z) * u) * K(w,T(v5,u)) = K(w,v5) * (a(x,y,z) * u). [para(17994(a,1),6988(a,1,2))]. 18000 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [para(13825(a,1),17994(a,1,2,2))]. 18001 K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). [hyper(240,a,7552,a,b,17995,a)]. 18002 T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). [hyper(240,a,4800,a,b,17998,a)]. 18003 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) * v5) / y). [hyper(9187,a,18002,a),flip(a)]. 18004 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (u * w))). [para(13825(a,1),18002(a,1,2,2))]. 18005 K(L(x,y,z),T(u,w * (v5 * v6))) = K(x,L(T(u,(w * v5) * v6),y,z)). [hyper(11312,a,18000,a),flip(a)]. 18008 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (w * u))). [hyper(240,a,17084,a(flip),b,18004,a(flip)),flip(a)]. 18009 T(x,T(y,(z \ u) * w)) = T(x,T(y,z * (w * u))). [hyper(17087,a,18008,a)]. 18010 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,u * (w * z))). [hyper(240,a,15483,a,b,18009,a(flip)),flip(a)]. 18011 K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). [hyper(7865,a,18001,a)]. 18012 K(x * a(y,z,u),w) \ K(x,K(w,v5)) = K(w,T(x * a(y,z,u),v5)). [hyper(73,a,18011,a(flip),b,7512,a)]. 18013 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) != v8 | K(x,L(T(y,v5),v6,v7)) = v8. [para(17996(a,2),11312(a,1))]. 18014 (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). [hyper(240,a,16704,a(flip),b,17999,a(flip)),flip(a)]. 18015 L(K(x,y),a(z,u,w),v5) = K(x,y). [hyper(14492,a,18014,a)]. 18016 K(x,L(y,a(z,u,w),v5)) = K(x,y). [hyper(14487,a,18014,a)]. 18017 L(x,a(y,z,u),K(w,v5)) = x. [hyper(438,a,18014,a)]. 18018 (a(x,y,z) * K(u,w)) * v5 = K(u,w) * (a(x,y,z) * v5). [hyper(240,a,16225,a(flip),b,18014,a(flip)),flip(a)]. 18019 K(a(x,a(y,z,u),w),v5) = 1. [hyper(74,a,18014,a(flip),b,13841,a),flip(a)]. 18020 T(x,a(y,a(z,u,w),v5)) = x. [hyper(16861,a,18017,a)]. 18021 x / a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) \ x. [hyper(16836,a,18017,a),flip(a)]. 18022 a(x,a(y,z,u),w) * v5 = v5 * a(x,a(y,z,u),w). [para(18017(a,1),16835(a,1,2))]. 18023 a(x,y,z) * (((x * y) * z) \ ((y * x) * z)) = (x * (y * z)) \ ((y * x) * z). [para(18017(a,1),16657(a,1,1)),flip(a)]. 18024 T(a(x,a(y,z,u),w),v5) = a(x,a(y,z,u),w). [hyper(37,a,18019,a)]. 18025 a(x,a(y,z,u),w) * K(v5,a(x,a(y,z,u),w)) = 1 / (a(x,a(y,z,u),w) \ 1). [para(18019(a,1),5215(a,1,2,2)),flip(a)]. 18026 (a(x,a(y,z,u),w) \ v5) * a(x,a(y,z,u),w) = v5. [hyper(2123,a,18020,a)]. 18027 K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). [hyper(240,a,6672,a(flip),b,18015,a(flip))]. 18028 K((x * (a(y,z,u) * x)) \ w,v5) = K((a(y,z,u) * x) \ (x \ w),v5). [hyper(14544,a,18016,a)]. 18029 K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). [hyper(11348,a,18016,a)]. 18030 K(x,L(y,a(z,u,w),v5)) = (K(x,y) * v6) / v6. [hyper(240,a,15,a,b,18016,a)]. 18031 K(x,L(y,R(z,u,u \ 1),z \ 1)) = K(x,y). [hyper(240,a,16353,a(flip),b,18016,a(flip)),flip(a)]. 18032 K((x / y) / a(z,u,w),v5) = K(x / (a(z,u,w) * y),v5). [hyper(240,a,14465,a(flip),b,18016,a(flip))]. 18033 K(x,L(y,a(z,u,w),v5)) != v6 | K(x,y) = v6. [para(18030(a,2),299(a,1)),flip(b)]. 18034 K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. [para(235(a,1),18033(a,1,2))]. 18035 K((x * a(y,z,u)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ w),v5) = v6. [para(11318(a,1),18033(a,1))]. 18038 K(x,(y * z) \ R(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(240,a,17397,a(flip),b,18031,a(flip))]. 18040 K(x \ a(y,x,x \ 1),z) = K(x \ 1,z). [hyper(16340,a,18029,a),flip(a)]. 18041 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(240,a,13524,a(flip),b,18040,a)]. 18042 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(17245,a,18018,a)]. 18043 x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). [para(18027(a,1),4800(a,2,2)),flip(a)]. 18044 K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). [hyper(16236,a,18032,a),flip(a)]. 18045 K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). [hyper(240,a,14865,a,b,18042,a),flip(a)]. 18046 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(18044(a,2),14576(a,1,2,2))]. 18047 T(x,T(y,(z / u) \ w)) = T(x,T(y,u * (w * z))). [hyper(14996,a,18010,a)]. 18048 T(x,T(y,(z / u) * w)) = T(x,T(y,u * (w * z))). [hyper(14815,a,18047,a)]. 18050 T(x,T(((y \ z) \ u) \ K(y \ z,y),y * (u * z))) = T(x,((y \ z) \ u) \ K(y \ z,y)). [hyper(240,a,14817,a(flip),b,18047,a(flip))]. 18051 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(K(z,z \ u) * y) \ (z \ u)). [hyper(240,a,15737,a(flip),b,18048,a(flip))]. 18052 K(x,(y * z) \ L(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(17051,a,18038,a)]. 18054 K(x,y \ a(z,y,y \ 1)) = K(x,y \ 1). [para(398(a,1),18038(a,1,2)),flip(a)]. 18055 K(x,x \ 1) * a(y,x,x \ 1) = x * (a(y,x,x \ 1) / x). [para(18054(a,1),4818(a,1,1))]. 18056 a(x,y,y \ 1) * K(y,y \ 1) = y * (a(x,y,y \ 1) / y). [para(18054(a,1),4976(a,1,2))]. 18057 T(x,(y \ z) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(4803,a,18043,a),flip(a)]. 18058 T(x,K(y \ z,y) * ((z / y) \ a(u,w,v5))) = T(x,z \ (y * a(u,w,v5))). [hyper(14644,a,18057,a)]. 18059 K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). [hyper(18,a,7504,a,b,18045,a),flip(a)]. 18060 K(x,K(y,a(z,u,w) * v5)) = K(x,K(v5,y)). [hyper(240,a,7487,a,b,18059,a)]. 18061 T(x,K(y,a(z,u,w) * v5)) = x * K(v5,K(y,x)). [para(18059(a,1),7493(a,1,2)),flip(a)]. 18062 K(x,K(y,z * a(u,w,v5))) = K(x,K(z,y)). [hyper(15083,a,18060,a)]. 18063 K(x,K(y,z * a(u,w,v5))) = K(x,K(y,z)). [hyper(240,a,7507,a,b,18062,a)]. 18064 K(x,K(y,z * a(u,w,v5))) != v6 | K(x,K(y,z)) = v6. [para(18062(a,2),7545(a,1))]. 18065 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(94(a,1),18063(a,1,2,2))]. 18066 T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). [hyper(240,a,7454,a(flip),b,18061,a)]. 18067 T(x,K(y,a(z,u,w) * v5)) != v6 | T(x,K(y,v5)) = v6. [para(18061(a,2),7457(a,1))]. 18068 T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). [hyper(15267,a,18066,a)]. 18069 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,v5)). [hyper(240,a,15624,a,b,18066,a(flip)),flip(a)]. 18070 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / y). [para(18066(a,1),8910(a,1,1))]. 18071 T(x,K(y,z \ a(u,w,v5))) = T(x,K(y,z)). [hyper(240,a,15624,a,b,18068,a(flip)),flip(a)]. 18072 T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). [para(18068(a,1),15628(a,1,1))]. 18073 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(v5,y)). [hyper(240,a,7560,a,b,18069,a)]. 18074 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(z \ a(u,w,v5)) * y). [para(18071(a,1),10321(a,1,1))]. 18075 T(T(x,K(y,z)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). [para(18073(a,1),8911(a,1,1))]. 18076 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (u * w))) = v5. [para(94(a,1),18064(a,1,2,2))]. 18078 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (w * u))). [hyper(240,a,15487,a,b,18065,a)]. 18079 K(x,K(y,z * (u * w))) * K(x,y * ((z * u) \ w)) = K(x,((z * u) \ w) * y). [para(18065(a,1),15399(a,1,1))]. 18080 T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,z * (u * w))) = v5. [para(13825(a,1),18067(a,1,2,2))]. 18081 K(x,K(y,z * (a(u,w,v5) * v6))) = K(x,K(y,z * v6)). [hyper(18064,a,18078,a),flip(a)]. 18082 K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,w * u)). [para(14(a,1),18078(a,1,2,2,1)),flip(a)]. 18084 (a(x,y,y \ 1) \ y) \ T(y,y \ 1) = y * (a(x,y,y \ 1) / y). [hyper(240,a,16267,a,b,18055,a(flip)),flip(a)]. 18085 (x \ 1) * (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(18055(a,1),2765(a,1,2))]. 18086 (x * (a(y,x,x \ 1) / x)) \ 1 != z | a(y,x,x \ 1) \ K(x \ 1,x) = z. [para(18055(a,1),14148(a,1,1))]. 18087 K((a(x,y,z) * u) \ w,v5) = K(a(x,y,z) \ (u \ w),v5). [hyper(18035,a,16399,a(flip)),flip(a)]. 18088 K((a(x,y,z) * u) \ w,v5) != v6 | K(a(x,y,z) \ (u \ w),v5) = v6. [para(16399(a,2),18035(a,1))]. 18089 K((a(x,y,z) * (u \ 1)) \ 1,w) = K(a(x,y,z) \ u,w). [hyper(240,a,5267,a(flip),b,18087,a)]. 18090 K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) != v6 | K(w,L(v5,u,a(x,y,z))) = v6. [para(18087(a,1),11285(a,1))]. 18091 K((a(x,y,z) * (u \ 1)) \ K(w \ 1,w),v5) = K(a(x,y,z) \ u,v5). [hyper(6283,a,18089,a)]. 18092 K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [hyper(11312,a,18005,a),flip(a)]. 18093 K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,z * (u * w)),v5,v6)) = v7. [para(18005(a,1),11312(a,1))]. 18094 K((x * (a(y,z,u) * x)) \ w,v5) != v6 | K(a(y,z,u) \ (x \ (x \ w)),v5) = v6. [para(18028(a,2),18088(a,1))]. 18095 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = y * (a(x,y,y \ 1) / y). [hyper(646,a,18084,a)]. 18096 K(x,L(T((y * (z * u)) / (y * z),y * (z * u)),y * z,u)) = K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))). [hyper(240,a,14510,a(flip),b,18092,a(flip))]. 18097 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(4953(a,1),18092(a,1,2,1,2,1)),flip(a)]. 18098 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(13825(a,1),18092(a,1,2,1,2,1)),flip(a)]. 18099 L(x,x \ 1,x * y) \ x = x * (a(y,x,x \ 1) / x). [hyper(240,a,17333,a(flip),b,18095,a(flip)),flip(a)]. 18100 L(x,x \ 1,y * x) \ x = x * (a(y,x,x \ 1) / x). [para(10601(a,2),18099(a,1,1))]. 18101 L(x,x \ 1,y * x) \ 1 = a(y,x,x \ 1) / x. [hyper(1309,a,18100,a)]. 18102 a(x \ y,x,x \ 1) / x = L(x,x \ 1,y) \ 1. [para(10602(a,1),18101(a,1,1)),flip(a)]. 18103 (L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1). [para(18102(a,1),16(a,1,1))]. 18104 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(18102(a,1),13843(a,2,1,2))]. 18105 (L(x \ 1,(x \ 1) \ 1,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). [hyper(240,a,4703,a,b,18103,a)]. 18106 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(7226(a,2),18103(a,2,1)),flip(a)]. 18107 T(x,((y * (z / y)) / y) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [para(5329(a,1),18058(a,1,2))]. 18108 (x * (y * z)) \ ((y * x) * z) = a(x,y,z) * K(y,T(x,z)). [para(10072(a,1),18023(a,1,2)),flip(a)]. 18110 a(x,a(y,z,u),w) * K(a(y,z,u),T(x,w)) = K(a(y,z,u) * w,x) * K(x,w). [hyper(240,a,17246,a(flip),b,18108,a(flip))]. 18111 K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * T(u,v5)) \ w) * y). [para(15490(a,1),18079(a,1,1))]. 18112 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(16706(a,1),18079(a,1,1,2))]. 18113 a(x,a(y,z,u),w) * a(y,z,K(u,T(x,w))) = K(a(y,z,u) * w,x) * K(x,w). [para(13530(a,2),18110(a,1,2))]. 18114 K(a(x,y,z) * u,w) * K(w,u) = a(w,a(x,y,z),u) * a(x,y,K(z,w)). [para(16194(a,1),18113(a,1,2)),flip(a)]. 18116 K(x,K(y,z) * (u * (a(z,a(w,v5,v6),y) * a(w,v5,K(v6,z))))) = K(x,u * K(a(w,v5,v6) * y,z)). [para(18114(a,1),16438(a,1,2,2,2))]. 18117 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * (y \ T(z,u)),y / x). [hyper(240,a,16458,a(flip),b,17982,a)]. 18118 K(x * (y \ z),R(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [para(42(a,2),18117(a,1,2))]. 18119 K(x * (y \ z),L(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [hyper(14443,a,18118,a)]. 18120 K(x * (y \ T(z,u)),y / x) != w | K(x * (y \ z),T(y / x,u)) = w. [para(18119(a,1),13802(a,1))]. 18121 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,z)). [para(12892(a,1),17983(a,2,2))]. 18122 K(x,L((y * (z \ u)) / (u / z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [hyper(240,a,17959,a(flip),b,18121,a)]. 18123 K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(6064(a,1),18122(a,1,2,1))]. 18124 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [hyper(240,a,14553,a(flip),b,18123,a(flip))]. 18125 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = (L(x \ 1,x,y) \ 1) * (x \ 1). [para(2545(a,1),18105(a,1,1,1)),flip(a)]. 18126 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = L(x \ 1,x,y) \ (1 / x). [hyper(240,a,14191,a(flip),b,18125,a)]. 18127 a((x \ 1) \ y,x \ 1,x) = L(x \ 1,x,y) \ (1 / x). [para(65(a,1),18126(a,1,3))]. 18128 a((x \ 1) \ y,x \ 1,x) / (1 / x) = L(1 / x,x,y) \ 1. [hyper(75,a,18127,a,b,6730,a)]. 18129 L(1 / x,x,y * (x \ 1)) \ 1 = a(y,x \ 1,x) / (1 / x). [para(17360(a,1),18128(a,1,1)),flip(a)]. 18130 K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(153(a,1),18041(a,1,1,1,2))]. 18131 K((x \ 1) \ a(y,x \ 1,(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(153(a,1),18130(a,1,1,2,2,2))]. 18133 K((x \ 1) \ a(y,x \ 1,(x \ 1) \ 1),z) = K(K(u,1) * x,T(z,1)). [para(153(a,1),18131(a,1,1,2,3,1,2))]. 18136 K((x \ 1) \ a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). [para(4701(a,1),18133(a,1,1,2))]. 18137 K(K(x,1) * y,T(z,1)) = K(y * a(u,y \ 1,y),z). [hyper(13969,a,18136,a),flip(a)]. 18138 K(x * a(y,x \ 1,x),z) = K(x,T(z,1)). [hyper(15097,a,18137,a),flip(a)]. 18139 K(x * a(y,x \ 1,x),z) = K(x,z). [para(150(a,1),18138(a,2,2))]. 18140 K(x,T(y * a(z,y \ 1,y),u)) = K(y,x) \ K(y,K(x,u)). [para(18139(a,1),18012(a,1,1)),flip(a)]. 18141 K(x,T(y * a(z,y \ 1,y),u)) = K(x,y) * K(y,K(x,u)). [hyper(240,a,5183,a(flip),b,18140,a)]. 18142 K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). [hyper(240,a,7527,a(flip),b,18141,a)]. 18143 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(z \ u,z)). [hyper(240,a,14168,a(flip),b,18050,a(flip)),flip(a)]. 18144 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(u,z)). [hyper(240,a,15182,a(flip),b,18143,a)]. 18145 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(y \ (z \ u)) * K(u,z)). [hyper(240,a,17144,a(flip),b,18144,a)]. 18146 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,y \ (T(z,u) \ u)). [hyper(240,a,17075,a(flip),b,18145,a)]. 18147 T(x,(K(y,y \ z) * u) \ (y \ z)) = T(x,u \ (T(y,z) \ z)). [hyper(240,a,18051,a(flip),b,18146,a(flip)),flip(a)]. 18148 T(x,y \ T(z \ u,z)) = T(x,y \ (T(z,u) \ u)). [para(13522(a,1),18147(a,1,2))]. 18149 T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)). [hyper(14727,a,18148,a),flip(a)]. 18150 T(x,(1 / y) \ (z / u)) = T(x,y * (T(u,z) \ z)). [hyper(13820,a,18149,a),flip(a)]. 18151 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [hyper(13820,a,18150,a),flip(a)]. 18152 T(x,y * (L(z,u,K(w,v5)) \ a(v5,u,w))) = T(x,y * (a(v5,u,w) / z)). [para(16824(a,2),18151(a,1,2,2,1))]. 18153 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(240,a,18092,a(flip),b,18097,a)]. 18154 x * (K(y,z) * K(u,u \ K(z,y))) = x / ((u \ K(z,y)) * u). [hyper(17570,a,17672,a),flip(a)]. 18157 x / ((y \ K(z,u)) * y) = x * (y * (K(u,z) / y)). [para(17934(a,1),18154(a,1,2)),flip(a)]. 18158 1 / (x * (K(y,z) / x)) = (x \ K(z,y)) * x. [hyper(431,a,18157,a)]. 18159 (x \ 1) * (K(y,z) * x) = (x \ K(y,z)) * x. [hyper(240,a,17443,a(flip),b,18158,a(flip)),flip(a)]. 18160 K(x,y) * L(z,z \ K(x,y),z) = z * ((z \ 1) * (K(x,y) * z)). [para(18159(a,2),435(a,2,2))]. 18161 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) * (1 / (1 / x)). [para(14179(a,1),18160(a,1,2)),flip(a)]. 18162 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) / (1 / x). [hyper(240,a,14129,a(flip),b,18161,a)]. 18164 x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x). [para(18159(a,1),18162(a,1,2))]. 18165 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(240,a,18092,a(flip),b,18098,a)]. 18166 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(240,a,18092,a(flip),b,18165,a)]. 18167 K(x,L(T(y,(z * (u * w)) * v5),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(18013,a,18166,a)]. 18168 K(x,L(T(y,z * ((u * w) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(18093,a,18167,a)]. 18169 K(x,L(T(y,z * ((u \ w) * (u * v5))),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [hyper(240,a,15633,a(flip),b,18168,a(flip))]. 18170 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),18169(a,1,2,1,2,2,2))]. 18171 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(240,a,18153,a,b,18170,a(flip)),flip(a)]. 18172 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),18171(a,2,2,1,2,2))]. 18173 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(17613(a,1),18172(a,1,2,1))]. 18174 K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [hyper(240,a,15482,a(flip),b,18173,a(flip)),flip(a)]. 18175 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,w * (u \ z)),v5,v6)). [hyper(240,a,17063,a,b,18174,a(flip)),flip(a)]. 18177 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). [para(15492(a,1),17602(a,1,2))]. 18179 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(7451(a,1),17689(a,1,2,1))]. 18180 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(16751(a,2),17693(a,1,1,2,2))]. 18181 K(x,K(y,z) * (u * a(z,a(w,v5,v6),y))) = K(x,u * K(a(w,v5,v6) * y,z)). [hyper(240,a,16413,a(flip),b,18116,a(flip)),flip(a)]. 18183 K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(15226,a,18179,a),flip(a)]. 18185 K(x,(K(y,T(y \ z,u)) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [para(6211(a,1),18183(a,1,2,1,1))]. 18186 K(x,K(T(y \ z,u),y) * ((z \ w) \ v5)) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(17644,a,18185,a)]. 18187 K(x,((y \ z) \ u) * K(w \ y,w)) = K(x,(((w \ y) * w) \ z) \ u). [para(7640(a,1),18186(a,1,2))]. 18188 K(x,(((y \ z) * y) \ u) \ w) = K(x,((z \ u) \ w) * K(z,y)). [hyper(240,a,12892,a(flip),b,18187,a(flip))]. 18189 K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(240,a,17686,a(flip),b,18188,a)]. 18190 K(x,(T(y * z,y) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(13(a,1),18189(a,1,2,1,1,1)),flip(a)]. 18191 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) = a(T(z,y),y,K(x,y \ u)). [hyper(240,a,17879,a(flip),b,18190,a(flip))]. 18192 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(8312(a,1),18180(a,1,1,2,2))]. 18193 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(17836,a,18192,a)]. 18194 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(17836,a,18193,a)]. 18196 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [hyper(240,a,17654,a(flip),b,18194,a)]. 18198 K(x / (K(y,z) * (T(z,u) / T(w,z))),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [para(16911(a,1),18196(a,1,1,2))]. 18199 K(x * ((T(y,z) / T(u,y)) \ K(y,w)),v5) = K(K(w,y) * (x / (u \ T(y,z))),v5). [hyper(240,a,14150,a(flip),b,18198,a(flip)),flip(a)]. 18200 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(K(z,y) * (x / (w \ T(y,u))),v5). [hyper(240,a,17802,a(flip),b,18199,a(flip)),flip(a)]. 18201 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(134(a,1),18200(a,1,1,2,1,1)),flip(a)]. 18202 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(240,a,17835,a(flip),b,18201,a)]. 18204 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(1 * (x / (w \ T(T(y,z),u))),v5). [para(207(a,1),18202(a,1,1,1)),flip(a)]. 18205 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(x / (w \ T(T(y,z),u)),v5). [para(11(a,1),18204(a,2,1))]. 18207 K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (u \ T(T(y,x),w)),v5). [hyper(240,a,18200,a(flip),b,18205,a(flip)),flip(a)]. 18208 K(x * ((y \ T(z,u)) \ K(z,w)),v5) = K(x / (y \ T(T(z,w),u)),v5). [hyper(240,a,17719,a(flip),b,18207,a(flip)),flip(a)]. 18209 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(260,a,18208,a,b,4958,a(flip))]. 18210 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((y \ z) * (u * K(y,x)),w). [hyper(240,a,15243,a(flip),b,17809,a)]. 18212 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((T(y,x) \ z) * u,w). [hyper(240,a,16456,a(flip),b,18210,a)]. 18213 K(((x / (x / y)) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(16122,a,18212,a)]. 18215 K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). [para(62(a,1),18213(a,1,1,1,1,2)),flip(a)]. 18216 K(x,(T(y \ z,z) \ u) * w) = v5 / (K(((z / y) \ u) * w,x) * v5). [para(18215(a,1),5184(a,1,2,1)),flip(a)]. 18217 K(x,(T(y \ z,z) \ u) * w) = K(x,((z / y) \ u) * w). [hyper(240,a,16328,a(flip),b,18216,a)]. 18218 K(x,(T(y \ (z * y),z * y) \ u) * w) = K(x,(z \ u) * w). [para(15(a,1),18217(a,2,2,1,1))]. 18219 K(x,(T(T(y,z),y * z) \ u) * w) = K(x,(y \ u) * w). [para(32(a,2),18218(a,1,2,1,1,1))]. 18220 K(x,(T(T(y,z),z) \ u) * w) = K(x,(y \ u) * w). [hyper(240,a,12988,a(flip),b,18219,a(flip)),flip(a)]. 18221 K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(240,a,17842,a(flip),b,18220,a(flip)),flip(a)]. 18222 K(x,(T(a(y,z,y) \ u,y) \ w) * v5) = K(x,((y * (u / R(y,z,y))) \ w) * v5). [para(12124(a,1),18221(a,1,2,1,1,1))]. 18223 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(a(y,u,y) * (T(z,y) \ w)) * v5). [para(12945(a,1),18222(a,1,2,1)),flip(a)]. 18224 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,a(y,u,y) * ((T(z,y) \ w) * v5)). [para(12539(a,1),18223(a,2,2))]. 18225 K(x,((y * (z / R(y,u,y))) \ w) * v5) != v6 | K(x,(T(z,y) \ w) * v5) = v6. [para(18224(a,2),12740(a,1))]. 18226 K(x,y) * (1 / (a(K(x,y) * z,u,u \ 1) \ (z \ 1))) = R(K(x,y) * z,u,u \ 1). [para(11670(a,1),17612(a,1,2))]. 18227 K(x,y) / (a(K(x,y) * z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [hyper(14141,a,18226,a)]. 18228 ((x * y) * (K(z,u) * K(w,v5))) / (y * (K(z,u) * K(w,v5))) = R(R(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [para(17661(a,1),17668(a,1,2))]. 18229 R(R(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [hyper(483,a,18228,a),flip(a)]. 18230 R(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [para(16642(a,1),18229(a,1,1))]. 18231 L(L(x,y,K(z,u)),y * K(z,u),K(w,v5)) = R(x,y,K(w,v5) * K(z,u)). [hyper(16920,a,18230,a)]. 18232 L(L(x,y * K(z,u),K(w,v5)),y,K(z,u)) = R(x,y,K(w,v5) * K(z,u)). [hyper(240,a,45,a,b,18231,a(flip)),flip(a)]. 18233 K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(2646(a,1),17500(a,1,1))]. 18235 (x * L(x \ 1,x,y * (x \ 1))) \ z = K(x \ 1,x) * (a(y,x \ 1,x) * z). [para(17421(a,1),18233(a,1,2)),flip(a)]. 18236 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(11309(a,1),17515(a,1,2,1,1,2))]. 18237 K(x,(y * K(z,L(u,w,v5 \ 1))) / (v5 \ w)) = K(x,y / (v5 \ (w * K(u,z)))). [hyper(16122,a,18236,a)]. 18238 K(x,y * ((z \ u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(17737,a,18237,a)]. 18240 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),(1 / y) \ 1). [hyper(240,a,6091,a(flip),b,17703,a)]. 18242 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = T(K(y,z * T(u \ 1,w)),y). [para(65(a,1),18240(a,2,2))]. 18243 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). [hyper(240,a,3023,a(flip),b,18242,a)]. 18244 K((x * (1 / y)) \ x,z / T(u,w)) = K(y,z * T(u \ 1,w)). [hyper(4860,a,18243,a)]. 18245 K((1 / x) \ 1,y / T(z,u)) = K(x,y * T(z \ 1,u)). [hyper(6162,a,18244,a)]. 18246 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [hyper(8065,a,18245,a),flip(a)]. 18248 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(18246(a,1),15206(a,1,1))]. 18249 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(240,a,14848,a(flip),b,18248,a(flip))]. 18250 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(13887,a,18249,a),flip(a)]. 18251 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(240,a,16697,a(flip),b,18249,a(flip))]. 18252 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [hyper(240,a,13578,a,b,18250,a),flip(a)]. 18253 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x,y) * (z \ u)). [para(18250(a,1),17713(a,2,2))]. 18254 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(240,a,18249,a(flip),b,18251,a)]. 18255 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(240,a,17840,a(flip),b,18254,a(flip))]. 18256 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(240,a,14629,a(flip),b,18254,a(flip))]. 18257 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [hyper(240,a,13842,a(flip),b,18252,a)]. 18258 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(8212,a,18257,a),flip(a)]. 18259 K(x,T(x * y,z)) = K(x,x * T(y,z)). [hyper(10315,a,18258,a)]. 18260 K(x,T(x * (x \ (y * z)),x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). [para(1548(a,2),18259(a,2,2))]. 18261 K(x,((y \ 1) * (y * z)) \ u) = K(x,R(z,y,y \ 1) \ u). [para(732(a,1),18256(a,1,2,1)),flip(a)]. 18262 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(6376,a,18261,a),flip(a)]. 18263 x / (K(y,L(z,u,u \ 1) \ w) * x) = K(R(z,u,u \ 1) \ w,y). [para(18262(a,1),5184(a,1,2,1))]. 18264 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(16329,a,18263,a),flip(a)]. 18265 K(((x \ 1) * (x * y)) \ z,u) = K(R(y,x,x \ 1) \ z,u). [hyper(240,a,5718,a,b,18264,a),flip(a)]. 18266 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,y * x)). [hyper(7301,a,18265,a),flip(a)]. 18267 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,x)). [hyper(240,a,7154,a(flip),b,18266,a)]. 18268 ((x * y) * K(x,T(z,y))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(18267(a,1),6557(a,1,1,2))]. 18269 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,x / y)). [para(14(a,1),18260(a,1,2,1)),flip(a)]. 18270 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,y)). [hyper(240,a,8038,a(flip),b,18269,a)]. 18272 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,y * z). [hyper(240,a,10270,a(flip),b,18270,a)]. 18273 K(x,T(y,x / z) * z) = K(x,z * y). [hyper(15611,a,18272,a)]. 18274 K(x,(y * z) \ T(u,y)) * K(x,K(u,y * z)) = K(x,T((z * y) \ u,y \ u)). [para(18273(a,1),15794(a,1,2,2))]. 18275 K(x,T((y * z) \ u,z \ u)) = K(x,T(u,z) / (z * y)). [hyper(15420,a,18274,a),flip(a)]. 18276 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(5498(a,1),18275(a,2,2,2))]. 18277 (x * (y * K(x,T(z,y)))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(7328(a,1),18268(a,1,1))]. 18278 (x * (K(x,y) * z)) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). [para(6988(a,1),18277(a,1,1,2))]. 18279 T(((x * y) * (x \ 1)) \ (x * y),z) = (T(x,z) * y) / R(y,x,x \ 1). [para(4779(a,1),18278(a,1,1)),flip(a)]. 18280 (T(x,y) * z) / R(z,x,x \ 1) = T((x * z) / R(z,x,x \ 1),y). [para(6555(a,1),18279(a,1,1)),flip(a)]. 18281 (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). [para(17327(a,1),18280(a,2,1))]. 18282 T(x * (R(x,y,y \ 1) \ y),z) = a(x,y,y \ 1) \ T(y,z). [hyper(240,a,17322,a(flip),b,18281,a(flip))]. 18283 a(x,y,y \ 1) \ T(y,z) = T(a(x,y,y \ 1) \ y,z). [para(17311(a,1),18282(a,1,1)),flip(a)]. 18284 (T(x \ 1,y) * y) * (z / (T(x \ 1,y) * y)) = z * K(x \ T(y,x),T(x,y) * (y \ z)). [para(3924(a,1),18253(a,2,2,1))]. 18285 x * K(y \ T(z,y),T(y,z) * (z \ x)) = (z * (y \ 1)) * (x / (z * (y \ 1))). [hyper(14663,a,18284,a),flip(a)]. 18286 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(x / y,T(y,x) * (x \ z)). [para(12753(a,1),18285(a,1,2)),flip(a)]. 18287 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * T(y,x)). [para(15125(a,1),18286(a,2,2))]. 18288 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * y). [para(12768(a,1),18287(a,2,2))]. 18289 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [hyper(240,a,14058,a(flip),b,18288,a(flip))]. 18290 K(x / y,(x / y) \ z) = K(y \ x,(x \ z) * y). [hyper(17,a,4976,a,b,18289,a),flip(a)]. 18291 (x * (1 / y)) * (z / (x * (1 / y))) = (x / y) * (z / (x / y)). [hyper(240,a,14389,a,b,18289,a(flip)),flip(a)]. 18292 (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(5380(a,1),18289(a,1,2,2)),flip(a)]. 18293 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(x / y,(T(x,y) \ z) * y). [para(12753(a,1),18289(a,1,2)),flip(a)]. 18294 K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). [hyper(240,a,13392,a(flip),b,18290,a(flip)),flip(a)]. 18295 K(x / y,(x \ y) * z) = K(y \ x,(x \ z) * y). [hyper(240,a,11523,a,b,18294,a(flip)),flip(a)]. 18296 x * K(y / z,(y \ z) * x) = (y / z) * (x / (y / z)). [para(18295(a,2),18289(a,1,2))]. 18297 ((x / y) \ 1) * (z / ((x / y) \ 1)) = (y / x) * (z / (y / x)). [hyper(240,a,11522,a,b,18296,a(flip)),flip(a)]. 18298 K(x / (y * (1 / z)),y * (1 / z)) = ((y / z) * (x / (y / z))) \ x. [para(18291(a,1),102(a,1,1)),flip(a)]. 18299 ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = (T(y,z) / x) * (u / (T(y,z) / x)). [hyper(15713,a,18297,a)]. 18300 K(x / (y * (1 / z)),y * (1 / z)) = K((y / z) \ x,y / z). [hyper(240,a,5005,a(flip),b,18298,a)]. 18301 K(x / (y * (1 / z)),y * (1 / z)) = K(y \ (z * x),y / z). [hyper(240,a,10155,a(flip),b,18300,a)]. 18302 K(x / (y * (1 / z)),y / z) = K(y \ (z * x),y / z). [hyper(13822,a,18301,a)]. 18303 K(x / (y * (z \ 1)),y / z) = K(y \ (z * x),y / z). [hyper(15635,a,18302,a)]. 18304 K(x \ (y * z),x / y) = K(y * (x \ z),x / y). [hyper(240,a,14076,a(flip),b,18303,a(flip))]. 18305 K(x * (y \ T(z,u)),y / x) = K(y \ (z * x),T(x \ y,u)). [hyper(240,a,14754,a(flip),b,18304,a(flip))]. 18306 K(x \ (y * z),T(z \ x,u)) = K(z * (x \ y),T(x / z,u)). [hyper(18120,a,18305,a),flip(a)]. 18307 K(x \ (y * z),T(x / y,u)) = K(y * (x \ z),T(x / y,u)). [hyper(16792,a,18306,a)]. 18308 K(x * (y \ z),T(y / x,z * y)) = K(y \ (x * z),x \ y). [hyper(240,a,14808,a(flip),b,18307,a(flip))]. 18309 K(x \ (y * z),y \ x) = K((x \ z) * y,x / y). [hyper(14814,a,18308,a),flip(a)]. 18310 x * K((y \ x) * z,y / z) = ((z \ y) \ x) * (z \ y). [para(18309(a,1),10153(a,1,2))]. 18311 L(x,K((y \ z) * u,y / u),(u \ y) * (z / (u \ y))) = x. [para(18309(a,1),10227(a,1,2))]. 18312 K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). [para(18309(a,1),16626(a,1,2,2))]. 18313 x * K(y * (z \ x),y \ z) = ((y \ z) \ x) * (y \ z). [para(10336(a,2),18310(a,1,2))]. 18314 K((x \ y) * (y \ z),(x \ y) \ y) = z \ ((((x \ y) \ y) \ z) * T(x,x \ y)). [hyper(73,a,271,a,b,18313,a),flip(a)]. 18315 K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). [hyper(15311,a,18312,a)]. 18316 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (T(x,y) \ z)). [para(10269(a,1),18293(a,2,2))]. 18317 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (x \ z)). [para(17810(a,1),18316(a,2,2))]. 18318 K((x \ y) * (y \ z),(x \ y) \ y) = K(x \ z,T(x,y)). [hyper(240,a,10530,a(flip),b,18314,a)]. 18319 K((x \ y) * (y \ z),T(x,y)) = K(x \ z,T(x,y)). [hyper(7296,a,18318,a)]. 18320 K((x \ y) * (z \ x),z) = K(z \ y,T(z,x)). [hyper(10361,a,18319,a)]. 18321 K((x * (y \ z)) \ z,T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(240,a,13916,a(flip),b,18320,a(flip))]. 18322 K(x \ ((y \ z) \ z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(17162,a,18321,a)]. 18323 K(x \ T(y,z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(240,a,12739,a(flip),b,18322,a(flip)),flip(a)]. 18324 K(T(x,y) / z,z * (x \ y)) = K(z \ x,z * (x \ y)). [hyper(14968,a,18323,a)]. 18325 K(x \ T(y,z),(y \ z) * x) = K(x \ y,x * (y \ z)). [hyper(10286,a,18324,a)]. 18326 K(x \ T(y,z),(y \ T(z,u)) * x) = K(x \ y,x * (y \ T(z,u))). [hyper(240,a,15251,a(flip),b,18325,a(flip)),flip(a)]. 18327 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (y \ T(z,y))). [hyper(240,a,16461,a(flip),b,18326,a(flip)),flip(a)]. 18328 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (z / y)). [hyper(240,a,17041,a(flip),b,18327,a)]. 18329 (((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(5505(a,2),18299(a,2,1))]. 18330 K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [hyper(240,a,14629,a(flip),b,18255,a(flip))]. 18331 K(x,((((y / z) * u) \ (y / z)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [para(13521(a,1),18330(a,1,2,1,1))]. 18333 K(x,((((y \ z) * u) \ (y \ z)) \ (y \ z)) \ w) = K(x,(u * T(z / y,z)) \ w). [para(14227(a,1),18331(a,1,2,1,1))]. 18334 K(x,T((y \ z) * u,y \ z) \ w) = K(x,(u * T(z / y,z)) \ w). [hyper(12791,a,18333,a)]. 18335 K(x,(y * T(z / u,z)) \ w) = K(x,(y * (u \ z)) \ w). [hyper(12824,a,18334,a),flip(a)]. 18336 K(x,(y * T(T(z,u) / w,z)) \ v5) = K(x,(y * (w \ T(z,u))) \ v5). [hyper(240,a,17743,a(flip),b,18335,a(flip)),flip(a)]. 18337 K(x,(y * T(T(z,u) / w,T(z,v5))) \ v6) = K(x,(y * (w \ T(z,u))) \ v6). [hyper(240,a,17743,a,b,18336,a(flip)),flip(a)]. 18338 K(x,(y * T(T(z,u \ z) / u,T(z,w))) \ v5) = K(x,(y * ((z * (u \ z)) / z)) \ v5). [para(4127(a,1),18337(a,2,2,1,2))]. 18339 K(x,(y * ((z * (u \ z)) / z)) \ w) = K(x,(y * (z / u)) \ w). [para(8333(a,1),18338(a,1,2,1,2)),flip(a)]. 18340 K(x,(y * T(z \ u,u)) \ w) = K(x,(y * (u / z)) \ w). [hyper(17064,a,18339,a)]. 18341 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * T(u \ w,w))). [para(18340(a,1),15535(a,1,2))]. 18342 K(x,y / (z * T(u \ w,w))) = K(x,y / (z * (w / u))). [hyper(240,a,15547,a(flip),b,18341,a(flip))]. 18343 K(x,y / (z * T(u \ (w \ 1),w))) = K(x,y / (z * ((w \ 1) / u))). [hyper(240,a,17864,a(flip),b,18342,a(flip)),flip(a)]. 18344 K(x,y / (T(z,z \ (u \ 1)) \ 1)) = K(x,y / (u * ((z \ 1) / u))). [para(6586(a,2),18343(a,1,2,2))]. 18345 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,u \ (z \ 1))). [hyper(240,a,13701,a(flip),b,18344,a(flip))]. 18346 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,z \ 1)). [hyper(240,a,12757,a(flip),b,18345,a)]. 18347 K(x,y / ((z / u) * ((w \ 1) / (z / u)))) = K(x,y * T(w,z \ u)). [hyper(240,a,15298,a(flip),b,18346,a)]. 18348 K(x,y / T(z \ 1,u / w)) = K(x,y * T(z,u \ w)). [hyper(17780,a,18347,a)]. 18349 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(14091(a,1),17751(a,1,2))]. 18350 K(((x \ y) * T(x,y)) \ (z * T(x,y)),z \ y) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [hyper(14906,a,18349,a)]. 18352 K((T(x,y) \ (z * T(y,x))) * K(x,y),z \ x) = K((y \ x) \ z,z \ ((y \ x) * T(y,x))). [hyper(240,a,17794,a(flip),b,18350,a(flip)),flip(a)]. 18353 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * T(x,y)),z \ y). [hyper(14994,a,18352,a),flip(a)]. 18354 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),T(z \ y,y)). [hyper(240,a,10644,a(flip),b,18353,a)]. 18355 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),y / z). [hyper(240,a,7607,a(flip),b,18354,a)]. 18356 K((x \ y) \ z,K(x,y) * (z \ T(y,x))) = K(y \ (z * x),y / z). [hyper(240,a,17741,a(flip),b,18355,a(flip)),flip(a)]. 18357 K((x \ y) \ z,T(z \ y,K(y,x))) = K(y \ (z * x),y / z). [para(14091(a,1),18356(a,1,2))]. 18358 K((x \ y) \ z,z \ y) = K(y \ (z * x),y / z). [hyper(14906,a,18357,a)]. 18360 K(x,K(y,z * (u * w))) * K(x,y * ((z * ((v5 * u) / v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). [para(15490(a,1),18112(a,1,1))]. 18362 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),18276(a,1,2,1,1))]. 18363 K(x,T((y \ z) \ u,(y \ z) \ (u * z))) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [hyper(17021,a,18362,a)]. 18365 K(x,T(y,z \ (u \ z)) / ((u \ z) * K(u \ 1,z))) = K(x,T((u \ z) \ y,z)). [hyper(10961,a,18363,a),flip(a)]. 18366 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(z,u \ 1)) = K(x,T((u \ z) \ y,z)). [hyper(240,a,17610,a(flip),b,18365,a(flip)),flip(a)]. 18367 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(u,z)) = K(x,T((u \ z) \ y,z)). [hyper(15195,a,18366,a)]. 18368 K(x,T(y,z \ (u \ z)) * ((u \ z) \ K(u,z))) = K(x,T((u \ z) \ y,z)). [hyper(17688,a,18367,a)]. 18369 K(x,T(y,z \ (u \ z)) / (T(u,z) \ z)) = K(x,T((u \ z) \ y,z)). [hyper(14170,a,18368,a)]. 18370 K(x,T(y,z \ (u \ z)) / (z / u)) = K(x,T((u \ z) \ y,z)). [hyper(17759,a,18369,a)]. 18371 K(x,T((y \ z) \ u,z)) = K(x,T(u,y) / (z / y)). [hyper(240,a,17653,a(flip),b,18370,a(flip))]. 18373 K(x,(((y \ z) \ u) * w) / (K(z,(y \ z) \ u) * w)) = K(x,T(u,y) / (z / y)). [para(5083(a,2),18371(a,1,2))]. 18374 K(x,(((y \ z) \ u) * w) / (K(z,z \ (y * u)) * w)) = K(x,T(u,y) / (z / y)). [para(13951(a,1),18373(a,1,2,2,1))]. 18375 K(x,(((y \ z) \ u) * w) * (w \ K(z \ (y * u),z))) = K(x,T(u,y) / (z / y)). [hyper(17734,a,18374,a)]. 18376 K(x,(((y \ z) \ u) * w) * (w \ K(y * u,z))) = K(x,T(u,y) / (z / y)). [hyper(240,a,17777,a(flip),b,18375,a(flip)),flip(a)]. 18377 K(x,((y \ z) \ u) * K(y * u,z)) = K(x,T(u,y) / (z / y)). [hyper(240,a,17634,a(flip),b,18376,a(flip)),flip(a)]. 18378 K(x,(y \ T(z,y * u)) \ u) = K(x,T(u,y) / (z / y)). [hyper(240,a,17676,a(flip),b,18377,a(flip)),flip(a)]. 18379 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(17035(a,1),18378(a,1,2,1,2,2))]. 18380 (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(14108(a,1),18292(a,2,2,1))]. 18381 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(17039(a,1),18379(a,1,2,1,2))]. 18382 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(240,a,12811,a(flip),b,18381,a(flip))]. 18383 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(240,a,17724,a(flip),b,18382,a)]. 18384 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(240,a,17656,a(flip),b,18383,a)]. 18385 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [hyper(240,a,12818,a(flip),b,18384,a)]. 18386 K(x,K(y,T(y \ z,u \ z)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(6964(a,2),18385(a,1,2,1))]. 18387 K(x,K(y,T(y \ z,u)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(8336(a,1),18386(a,1,2,1))]. 18388 K(x,(y / (z \ u)) \ K(w,T(w \ u,z))) = K(x,(z \ T(u,w)) / y). [hyper(14902,a,18387,a)]. 18389 K(x,(y / (z \ u)) \ K(w,w \ u)) = K(x,(z \ T(u,w)) / y). [hyper(16271,a,18388,a)]. 18390 K(x,(y / (z \ u)) \ K(w,u)) = K(x,(z \ T(u,w)) / y). [hyper(240,a,12811,a(flip),b,18389,a(flip)),flip(a)]. 18391 K(x,(y \ z) * (u \ K(w,z))) = K(x,(y \ T(z,w)) / u). [hyper(17738,a,18390,a)]. 18392 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ T(u,z)) / w). [hyper(240,a,17773,a,b,18391,a(flip)),flip(a)]. 18393 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(K(y,x) * (z \ x),(y / x) * z). [para(15133(a,1),18380(a,2,2))]. 18394 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(z \ T(x,y),(y / x) * z). [para(15098(a,1),18393(a,2,2))]. 18395 ((x / y) * K(x \ z,x)) * (z / (x / (K(x,x \ z) * y))) = z * K(y \ T(x,z),(z / x) * y). [para(17228(a,1),18394(a,1,1))]. 18396 ((x / y) * K(x \ z,x)) * (z / ((x / y) * K(x \ z,x))) = z * K(y \ T(x,z),(z / x) * y). [para(17228(a,1),18395(a,1,2,2))]. 18397 (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(240,a,17929,a(flip),b,18396,a(flip)),flip(a)]. 18398 (x / y) * T(z / T(x / y,K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(7841(a,1),18397(a,1,2,1,2))]. 18399 (x / y) * T(T(z / (x / y),K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(8354(a,1),18398(a,1,2,1))]. 18400 (x / y) * T(T(z / (x / y),K(z,x)),K(z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(7841(a,1),18399(a,1,2))]. 18401 x * K(y \ T(z,x),(x / z) * y) = (z / y) * (x / (z / y)). [para(7562(a,1),18400(a,1,2)),flip(a)]. 18403 x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). [para(18328(a,1),18401(a,1,2))]. 18404 T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). [para(18403(a,1),15747(a,1,1))]. 18405 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * (K(z,K(u,w)) * y)) * v5) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),16794(a,1,1))]. 18406 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(16934(a,1),16992(a,1,2,2)),flip(a)]. 18407 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(16864(a,1),18406(a,2,2,2))]. 18408 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(16989(a,1),18407(a,1,2))]. 18409 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = w * (a(z,y,x) \ u). [hyper(16121,a,18408,a)]. 18411 x * T(a(y,z,u) \ w,a(y,z,u) \ x) = w * (a(y,z,u) \ x). [hyper(240,a,17514,a(flip),b,18409,a(flip)),flip(a)]. 18412 x * T(a(y,x,x \ 1) \ z,x) = z * (a(y,x,x \ 1) \ x). [para(17313(a,1),18411(a,1,2))]. 18413 (a(x,y,y \ 1) \ z) * y = z * (a(x,y,y \ 1) \ y). [hyper(231,a,18412,a)]. 18414 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(240,a,17273,a(flip),b,18413,a(flip))]. 18415 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,z,z \ 1) * z) \ (z * x)). [para(10942(a,1),18414(a,2,2,1,1))]. 18417 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((z * a(y,z,z \ 1)) \ (z * x)). [para(13544(a,1),18415(a,2,2,1))]. 18418 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(11309(a,1),17061(a,2,2,3))]. 18420 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * (K(z,K(u,w)) * v5)) * v6) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),18405(a,1,2,1))]. 18421 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(13942(a,1),18418(a,2,2,3))]. 18422 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(13944(a,1),18421(a,1,2,3))]. 18423 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(13609(a,1),18422(a,1,2))]. 18424 ((x * y) * (K(z,K(u,w)) * (v5 * v6))) \ (((x * y) * v5) * (K(z,K(u,w)) * v6)) = a(K(z,K(u,w)) * (x * y),v5,v6). [para(16277(a,1),18420(a,1,2))]. 18425 K(x,K(y,z)) * (((u * w) * (K(x,K(y,z)) * (v5 * v6))) \ (((u * w) * v5) * v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). [hyper(16514,a,18424,a)]. 18426 K(x,K(y,z)) * (K(x,K(y,z)) * (((u * w) * (v5 * v6)) \ (((u * w) * v5) * v6))) = a(K(x,K(y,z)) * (u * w),v5,v6). [para(16287(a,1),18425(a,1,2))]. 18427 K(x,K(y,z)) * (K(x,K(y,z)) * a(u * w,v5,v6)) = a(K(x,K(y,z)) * (u * w),v5,v6). [para(24(a,2),18426(a,1,2,2))]. 18428 a(K(x,K(y,z)) * (u * w),v5,v6) = a(u * w,v5,v6). [hyper(7541,a,18427,a)]. 18430 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(4774(a,1),18428(a,1,1)),flip(a)]. 18432 a(x * K(y,K(z,u)),w,v5) = a(x,w,v5). [para(15036(a,1),18428(a,1,1)),flip(a)]. 18433 a(x * K(y,K(z,u)),w,v5) = K(v6,K(v7,v8)) * (K(v6,K(v7,v8)) * a(x,w,v5)). [hyper(240,a,7537,a,b,18432,a)]. 18434 a(K(x,y) * z,y,x) = a(z,y,x). [hyper(17263,a,18430,a(flip)),flip(a)]. 18435 a(T(x,y) \ z,x,y) = a(x \ z,x,y). [para(5078(a,1),18434(a,1,1))]. 18436 a(x,y,z) * ((z * y) * x) = ((((z * y) * x) / (y * z)) * y) * z. [para(18434(a,1),14528(a,1,1))]. 18437 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). [hyper(240,a,11176,a(flip),b,18436,a)]. 18438 (x * y) * R(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [hyper(17462,a,18437,a),flip(a)]. 18440 a(x * K(y,K(z,u)),w,v5) != v6 | a(x,w,v5) = v6. [para(18433(a,2),5200(a,1)),flip(b)]. 18441 a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. [para(7470(a,1),18440(a,1,1))]. 18442 (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16219(a,2),16075(a,1,1))]. 18443 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(240,a,17391,a(flip),b,17935,a(flip)),flip(a)]. 18444 K(x,L(L(L(y,z,u),u * z,L(y,z,u)),u * z,y)) = K(x,L(a(u,z,y) \ y,a(u,z,y),u * (z * y))). [para(10603(a,1),18096(a,1,2,1))]. 18445 K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) = K(x,L(L(u,z,y),y * z,u)). [hyper(11289,a,18444,a),flip(a)]. 18446 K(x,L(a(y,z,u) \ u,a(y,z,u),y * (z * u))) != w | K(x,L(u,z,y)) = w. [para(18445(a,2),11352(a,1))]. 18447 K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). [hyper(18446,a,18016,a),flip(a)]. 18448 T(x,a(y,z,u) \ u) = x * K(x,L(u,z,y)). [para(18447(a,1),4800(a,2,2))]. 18449 (a(x,y,z) * K(u,L(z,y,x))) \ z = T(a(x,y,z) \ z,u). [para(18447(a,1),7200(a,1,1,2))]. 18450 T(x,a(y,z,u) \ u) = T(x,L(u,z,y)). [hyper(240,a,4800,a,b,18448,a)]. 18451 x * T(a(y,z,x) \ 1,L(x,z,y)) = a(y,z,x) \ x. [para(18450(a,1),17426(a,1,2))]. 18452 (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16219(a,2),18442(a,1,2,1))]. 18453 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(416(a,1),18443(a,1,2,2,2))]. 18454 (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(16244(a,2),18452(a,1,2))]. 18455 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(9180(a,1),18453(a,1,2,2,2,1))]. 18456 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). [hyper(16242,a,18454,a),flip(a)]. 18457 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). [hyper(240,a,24,a,b,18456,a)]. 18458 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [para(16057(a,1),18457(a,1,3))]. 18459 a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). [para(4774(a,1),18458(a,1,2)),flip(a)]. 18460 a(x,(y * z) * K(y,u),w) = a(x,T(y,u) * z,w). [para(4815(a,1),18459(a,1,2)),flip(a)]. 18461 a(x,K(y,z) * u,K(w,v5)) != v6 | a(w,u * K(y,z),K(v5,x)) = v6. [para(18459(a,2),13771(a,1))]. 18462 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(7570(a,1),18455(a,1,2,2))]. 18463 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (((u * (z / u)) / u) * K(v5,w))). [hyper(17843,a,18462,a),flip(a)]. 18464 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (T(z / u,u) * K(v5,w))). [hyper(240,a,16706,a(flip),b,18463,a)]. 18465 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * ((u \ z) * K(v5,w))). [para(124(a,1),18464(a,2,2,2,1))]. 18466 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) * K(w,u))). [para(124(a,1),18465(a,1,2,2))]. 18467 K(x,y * (((z * u) \ w) * K(v5,v5 \ u))) = K(x,y * ((z * ((v5 \ u) * v5)) \ w)). [para(10032(a,1),18466(a,1,2,2,1)),flip(a)]. 18468 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [para(10807(a,1),18466(a,1,2,2,1))]. 18469 K(x,y * ((z \ u) * K(w,v5))) * K(x,K(y,z \ u)) = K(x,((z * K(v5,w)) \ u) * y). [para(18466(a,1),18177(a,1,1))]. 18470 K(x,y * ((z * ((u \ w) * u)) \ v5)) != v6 | K(x,y * (((z * w) \ v5) * K(w,u))) = v6. [para(18467(a,1),16500(a,1))]. 18471 K(x,((y * K(z,u)) \ w) * v5) = K(x,(y \ w) * (K(u,z) * v5)). [hyper(16631,a,18469,a),flip(a)]. 18472 K(x,((y * z) \ u) * (K(w,z) * v5)) = K(x,((y * T(z,w)) \ u) * v5). [para(5929(a,1),18471(a,1,2,1,1)),flip(a)]. 18473 K(x,((y * z) \ u) * (K(w,w \ z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(10032(a,1),18471(a,1,2,1,1)),flip(a)]. 18475 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(10131(a,1),17318(a,1,1,1))]. 18476 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(106(a,1),17468(a,2,2))]. 18477 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(5653(a,1),18476(a,2,2,2))]. 18478 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(7965(a,1),18477(a,2,2,2))]. 18479 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(15016(a,1),18478(a,2,2,2))]. 18480 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(240,a,13,a(flip),b,18479,a)]. 18481 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(16032,a,18480,a)]. 18483 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(356(a,1),18481(a,1,2,2,2))]. 18484 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(15083,a,18483,a)]. 18485 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(62(a,1),18484(a,1,2,2,1,2)),flip(a)]. 18486 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(16558,a,18485,a),flip(a)]. 18487 K(x,K(y \ z,(z \ y) * u)) = K(x,K(u,y \ z)). [hyper(8078,a,18485,a),flip(a)]. 18488 T(x,K((y \ z) * u,T(z \ y,w))) = K(x,K(u,z \ y)) * x. [para(18487(a,1),14836(a,2,1))]. 18489 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(15593,a,18486,a),flip(a)]. 18490 K(x,K(y,(z \ u) * w)) = K(x,K(y,u * (z \ w))). [hyper(240,a,18485,a(flip),b,18489,a(flip)),flip(a)]. 18491 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(18489(a,1),7493(a,1,2))]. 18494 K(x,K(y,((z * u) * w) * ((z * w) \ v5))) != v6 | K(x,K(y,R(u,z,w) * v5)) = v6. [para(18490(a,1),15715(a,1))]. 18495 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,u * (w \ z))) = v5. [para(18491(a,1),7495(a,1))]. 18496 T(x,K(y,z \ (u * w))) = T(x,K(y,u * (z \ w))). [hyper(18495,a,16419,a),flip(a)]. 18497 T(x,K(y,(z \ u) \ w)) = T(x,K(y,z * (u \ w))). [hyper(18495,a,8006,a),flip(a)]. 18498 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). [hyper(15627,a,18496,a)]. 18499 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,(u \ w) \ v5)) = T(y,K((u \ w) \ v5,z) * x). [para(18497(a,1),14572(a,1,2,1,2))]. 18500 T(x,K(y,z * (u \ w))) != v5 | T(x,K(y,z * (w * u))) = v5. [para(18498(a,1),18080(a,1))]. 18501 T(x,K(y,z * (u / w))) = T(x,K(y,z * (u * w))). [hyper(18500,a,15466,a(flip)),flip(a)]. 18502 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w / v5))) = T(y,K(u * (w / v5),z) * x). [para(18501(a,1),14572(a,1,2,1,2))]. 18503 T(x,K((y \ z) * u,T(z \ y,w))) = T(x,K(u,z \ y)). [hyper(240,a,4809,a,b,18488,a)]. 18504 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(18503(a,1),15474(a,1,2,1,2))]. 18505 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,u * (w \ v5))) = T(y,K((u \ w) \ v5,z) * x). [para(18497(a,1),18499(a,1,2))]. 18506 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w * v5))) = T(y,K(u * (w / v5),z) * x). [para(18501(a,1),18502(a,1,2))]. 18507 T(x,K((y \ z) \ u,w) * v5) = T(x,K(y * (z \ u),w) * v5). [hyper(14580,a,18505,a),flip(a)]. 18508 T(x,K(y \ (z * u),w) * v5) = T(x,K(z * (y \ u),w) * v5). [hyper(17380,a,18507,a)]. 18509 T(x,K(y * (z \ u),u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(18508(a,1),14641(a,1))]. 18510 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (z * u),w) * v5). [hyper(14580,a,18506,a),flip(a)]. 18511 T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u * z),w) * v5). [hyper(240,a,15686,a(flip),b,18510,a(flip)),flip(a)]. 18512 T(x,K(y * (z * u),z) * w) = T(x,K(u \ y,z) * w). [hyper(18509,a,18511,a),flip(a)]. 18513 T(x,K(y \ z,u) * w) = T(x,K(z * y,u) * w). [hyper(240,a,12774,a(flip),b,18512,a(flip))]. 18514 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(15313,a,18513,a(flip)),flip(a)]. 18515 T(x,K(y * z,T(u,w)) * v5) = T(x,K(u,y \ z) * v5). [hyper(15279,a,18514,a),flip(a)]. 18516 T(x,K(y \ z,u) * (w * u)) = T(x,w * T(u,y * z)). [hyper(15191,a,18514,a(flip)),flip(a)]. 18517 T(x,K(y * z,u) * (u / w)) = T(x,T(u,y \ z) / w). [hyper(240,a,14592,a(flip),b,18514,a(flip))]. 18518 T(x,K(y \ z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(18514(a,2),15313(a,1))]. 18519 T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(15279,a,18515,a),flip(a)]. 18520 T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(18519(a,1),15200(a,1))]. 18521 T(x,y * T(z,u \ w)) = T(x,y * T(z,u * w)). [hyper(15191,a,18516,a)]. 18522 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w) * 1)) = T(x,y / (v5 * (a(z,u,w) \ 1))). [hyper(240,a,17705,a(flip),b,18521,a(flip))]. 18523 T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). [hyper(240,a,14592,a(flip),b,18517,a(flip))]. 18524 T(x,T(y,z * u) / (u \ z)) = T(x,(u \ z) \ y). [hyper(13965,a,18523,a),flip(a)]. 18525 T(x,T(y,z \ T(u,w)) / ((z \ u) \ K(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [para(15049(a,1),18524(a,1,2,1))]. 18527 T(x,y * T((a(z,u,w) \ v5) \ 1,a(z,u,w))) = T(x,y / (v5 * (a(z,u,w) \ 1))). [para(12(a,1),18522(a,1,2,2,2))]. 18528 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y * ((a(u,w,v5) \ z) \ 1)). [hyper(240,a,16364,a(flip),b,18527,a(flip))]. 18530 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). [hyper(240,a,13752,a(flip),b,18528,a)]. 18531 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(15468(a,1),18046(a,1,2,1,2))]. 18532 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(10131(a,1),18475(a,1,2))]. 18533 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(18069(a,1),18531(a,1,2,1,2))]. 18534 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(18044(a,1),18533(a,1,2,2))]. 18536 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(7560(a,1),18534(a,1,2))]. 18537 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(15468(a,1),18536(a,1,2))]. 18538 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(18069(a,1),18537(a,1,2)),flip(a)]. 18539 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v6 \ v5,y) * v7). [hyper(240,a,14572,a(flip),b,18538,a)]. 18542 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) != v8 | T(x,K(v5 * v6,y) * v7) = v8. [para(18539(a,2),18518(a,1))]. 18543 (x * ((y / z) * z)) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). [hyper(240,a,17328,a(flip),b,18532,a(flip))]. 18545 a(L(x,x \ y,z),u,u \ 1) = (z * y) \ (z * (a(x,u,u \ 1) * y)). [para(16(a,1),18543(a,1,1,2)),flip(a)]. 18546 L(T(a(x,y,y \ 1),z),z,u) = a(L(x,x \ z,u),y,y \ 1). [hyper(240,a,189,a(flip),b,18545,a),flip(a)]. 18547 a(L(x,x \ y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z). [para(13539(a,1),18546(a,1,1)),flip(a)]. 18549 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(15480(a,1),18209(a,1,2))]. 18550 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(17711(a,1),18504(a,1,2,2)),flip(a)]. 18552 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(18503(a,1),18550(a,2,2))]. 18553 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = T(x,K(y \ z,v5) * v6). [hyper(240,a,14572,a(flip),b,18552,a)]. 18555 T(x,K(T(y \ z,u) * w,z \ y) * v5) = T(x,K(z \ y,w) * v5). [hyper(15314,a,18553,a)]. 18556 T(x,K((y \ z) * u,z \ y) * w) = T(x,K(z \ y,u) * w). [para(121(a,1),18555(a,1,2,1,1,1))]. 18557 T(x,K(y * (z \ u),u \ z) * w) = T(x,K(u \ z,y) * w). [para(10353(a,1),18555(a,1,2,1))]. 18558 T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). [hyper(14643,a,18556,a)]. 18559 T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). [hyper(240,a,18511,a(flip),b,18557,a(flip)),flip(a)]. 18560 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). [hyper(18518,a,18558,a)]. 18561 T(x,K(y * (z * u),z \ u) * w) = T(x,K(u * z,y) * w). [hyper(240,a,18513,a(flip),b,18559,a)]. 18562 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). [hyper(240,a,18513,a(flip),b,18560,a)]. 18564 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(18175(a,1),18549(a,1,2))]. 18565 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(15632(a,1),18564(a,1,2))]. 18566 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(15632(a,1),18565(a,1,2))]. 18569 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(18208(a,1),18566(a,1,2))]. 18570 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(7113,a,18569,a)]. 18571 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(11309(a,1),18570(a,1,2))]. 18572 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(8186,a,18571,a)]. 18573 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),18572(a,1,2,2))]. 18574 K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))) = 1. [hyper(240,a,16344,a(flip),b,18573,a(flip)),flip(a)]. 18575 K(x,K(y / (z \ T(T(u,w),v5)),y * (u \ z))) = 1. [hyper(7769,a,18574,a)]. 18576 K(x,K((y \ T(T(z,u),w)) \ v5,(z \ y) * v5)) = 1. [para(10271(a,1),18575(a,1,2))]. 18577 K(x,K((y \ z) * u,(z \ T(T(y,w),v5)) \ u)) = 1. [hyper(7545,a,18576,a)]. 18578 K(x,K((y \ z) * u,T(T(y,w),v5) \ (z * u))) = 1. [hyper(16218,a,18577,a)]. 18579 K(x,K((y \ z) * u,y \ (z * u))) = 1. [para(5690(a,1),18578(a,1,2,2,1))]. 18580 K(x,(y \ (z * u)) / ((y \ z) * u)) = 1 \ a(y,z,K(x,u)). [para(18579(a,1),17449(a,1,1)),flip(a)]. 18581 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(240,a,51,a(flip),b,18580,a)]. 18583 K(x,(y \ (z * ((z * u) / z))) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [para(4120(a,1),18581(a,1,2,1,2))]. 18584 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [hyper(240,a,18392,a(flip),b,18583,a(flip)),flip(a)]. 18585 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(16067(a,1),16603(a,1,2,2)),flip(a)]. 18586 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(16060(a,1),18585(a,2,2))]. 18588 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(240,a,14048,a(flip),b,18586,a)]. 18590 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,v5,w))). [hyper(16128,a,18588,a)]. 18593 (x * y) * a(z,u,K(w,L(v5,y,x))) = (x * a(w,u,K(v5,z))) * y. [para(18590(a,1),16611(a,1,2))]. 18594 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(w,z,K(y,u))). [hyper(11873,a,18593,a),flip(a)]. 18595 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(y,z,K(u,w))). [para(13563(a,1),18594(a,1,1,2))]. 18596 (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(18594(a,1),16636(a,1,2))]. 18597 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = x * (y * a(v5,u,K(y * x,w))). [hyper(240,a,17187,a,b,18595,a(flip)),flip(a)]. 18598 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = L(x * y,u,K(w,v5)). [hyper(240,a,17220,a(flip),b,18597,a)]. 18599 L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). [hyper(240,a,17095,a(flip),b,18598,a(flip))]. 18600 a(x,a(y,z,K(u,w)),v5) = K(v5,a(w,z,K(y,u))). [hyper(10055,a,18596,a),flip(a)]. 18601 a(x,a(y,z,K(u,w)),v5) = 1. [hyper(240,a,16049,a(flip),b,18600,a)]. 18603 L(x,a(y,z,K(u,w)),v5) = x. [hyper(33,a,18601,a)]. 18604 x / (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) \ (x / v5). [para(18603(a,1),16179(a,1,2,2)),flip(a)]. 18605 x / (a(y,z,K(u,w)) * v5) != v6 | a(w,z,K(u,y)) * (x / v5) = v6. [para(18604(a,2),13962(a,1))]. 18606 ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(9607(a,1),17595(a,1,2,1,2))]. 18607 ((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),18606(a,1,2,1))]. 18609 (x / y) * (z * K(K(y \ 1,x) \ 1,z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(7591(a,1),18607(a,1,2)),flip(a)]. 18610 (x / y) * (z * K(K(x,y \ 1),z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(4977(a,1),18609(a,1,2,2,1))]. 18611 (x / y) * (z * K(x,K(y,z))) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(7950(a,1),18610(a,1,2,2))]. 18612 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * T(z,K(x,y)). [para(7503(a,1),18611(a,1,2)),flip(a)]. 18613 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) != u | T((x / y) * z,K(x,y)) = u. [para(18612(a,2),9979(a,1))]. 18614 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(2545(a,1),18106(a,2,1,1))]. 18615 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(352(a,1),18614(a,2,1,1))]. 18616 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (y \ x) \ (1 / (x \ y)). [hyper(240,a,14243,a(flip),b,18615,a)]. 18617 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(16394(a,1),16356(a,1,2)),flip(a)]. 18618 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(240,a,15120,a(flip),b,18617,a)]. 18620 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(13597(a,1),18618(a,2,2))]. 18621 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(16191(a,1),18620(a,1,1))]. 18622 T(x * a(y,z,u),w) * K(y,a(v5,z,u)) = T(x * T(a(y,z,u),v5),w). [hyper(15786,a,18621,a),flip(a)]. 18623 K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(y * a(z,u,w),v6)). [para(18622(a,1),16388(a,1,2))]. 18624 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * a(y,z,u),v6)). [hyper(240,a,16232,a,b,18623,a(flip)),flip(a)]. 18626 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(18624(a,1),15472(a,1,2,1,2,1)),flip(a)]. 18627 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(15278(a,1),18626(a,2,2,1))]. 18629 (K(x,y) * (z * K(u,w))) \ ((K(u,T(w,z)) * K(x,y)) * (z * v5)) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(17564(a,1),16342(a,1,2,2,1))]. 18630 (K(x,y) * (z * K(u,w))) \ (K(x,y) * (K(u,T(w,z)) * (z * v5))) = L(v5,L(z,K(x,y),K(u,T(w,z))),K(u,T(w,z)) * K(x,y)). [para(17604(a,1),18629(a,1,2))]. 18631 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y * K(w,v5),K(z,u)). [hyper(240,a,17470,a(flip),b,18630,a(flip))]. 18632 (((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(5924(a,1),18329(a,1,1,1)),flip(a)]. 18633 (((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(14199(a,1),18632(a,2,1))]. 18634 (((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(5924(a,1),18633(a,2,2,2,1))]. 18635 (((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(14199(a,1),18634(a,2,2,2))]. 18636 (((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(240,a,15118,a(flip),b,18635,a)]. 18638 (x / (y * x)) * (z / (T(x,u) / (y * T(x,u)))) = (y \ 1) * (z / (y \ 1)). [para(14124(a,1),18636(a,1,1))]. 18639 (x / (y * x)) * (z / (x / (y * x))) = (y \ 1) * (z / (y \ 1)). [para(14122(a,1),18638(a,1,2,2))]. 18641 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (x \ 1) * (z / (x \ 1)). [hyper(240,a,13403,a,b,18639,a(flip)),flip(a)]. 18644 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(4701(a,1),18104(a,1,1,2,1,2))]. 18645 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(18142(a,1),18644(a,1,1))]. 18646 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(3284(a,1),18645(a,1,1))]. 18649 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(4701(a,1),18646(a,1,2,1)),flip(a)]. 18650 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x). [para(13553(a,1),18649(a,2,2))]. 18652 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(5183(a,1),17329(a,1,1,1))]. 18653 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(18309(a,1),18652(a,1,1,1,1))]. 18654 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),18653(a,1,1,1))]. 18655 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(5183(a,1),18654(a,1,1))]. 18656 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(10269(a,1),18655(a,1,1,1))]. 18657 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),18656(a,1,1)),flip(a)]. 18658 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(5183(a,1),18657(a,2,2))]. 18659 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(18309(a,1),18658(a,2,2,1))]. 18660 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),18659(a,2,2))]. 18661 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(240,a,18311,a(flip),b,18660,a)]. 18663 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(5183(a,1),18661(a,1,1,3))]. 18664 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(18309(a,1),18663(a,1,1,3,1))]. 18665 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),18664(a,1,1,3))]. 18666 1 \ K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [para(17549(a,1),18665(a,1,1))]. 18667 K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [hyper(163,a,18666,a)]. 18669 x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). [para(18667(a,1),10148(a,1,2))]. 18670 (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). [hyper(240,a,18317,a,b,18669,a(flip)),flip(a)]. 18671 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K((x \ 1) \ y,x \ (y \ z)). [para(13684(a,1),18669(a,1,2)),flip(a)]. 18672 (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). [para(32(a,2),18670(a,2,1))]. 18673 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K(x * y,x \ (y \ z)). [para(13574(a,1),18671(a,2,2))]. 18674 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = (x * y) * (z / (x * y)). [hyper(240,a,13977,a(flip),b,18673,a)]. 18675 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) != u | (x * y) * (z / (x * y)) = u. [para(18673(a,2),13978(a,1))]. 18676 (((x \ (x / y)) \ 1) \ x) * (z / (((x \ (x / y)) \ 1) \ x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [para(5034(a,1),18674(a,2,2,2))]. 18677 (x \ T(x * y,x)) * (z / (T(y * x,x) / x)) = T(y,x) * (z / (x \ (y * x))). [para(4514(a,1),18672(a,1,1))]. 18678 (x \ T(x * y,x)) * (z / (x \ T(x * y,x))) = T(y,x) * (z / (x \ (y * x))). [para(4514(a,1),18677(a,1,2,2))]. 18679 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / (x \ (y * x))). [hyper(15630,a,18678,a)]. 18680 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / T(y,x)). [para(32(a,2),18679(a,2,2,2))]. 18681 ((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(4184(a,1),18680(a,2,1))]. 18682 ((x \ (x / y)) * x) * (z / ((x \ (x / y)) * x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [hyper(18675,a,18676,a)]. 18683 ((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(705(a,1),18681(a,1,1,1))]. 18684 ((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(12921(a,1),18683(a,1,1))]. 18685 ((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(705(a,1),18684(a,1,2,2,1))]. 18686 ((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(12921(a,1),18685(a,1,2,2))]. 18687 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = ((x * y) / x) * (z / ((x * y) / x)). [hyper(240,a,12914,a(flip),b,18686,a(flip))]. 18689 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = T(y,x) * (z / T(y,x)). [hyper(240,a,18680,a(flip),b,18687,a)]. 18690 ((x \ y) * x) * (z / ((x \ y) * x)) = T(y,x) * (z / T(y,x)). [para(4184(a,1),18689(a,1,2,2))]. 18691 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = T(x / y,x) * (z / T(x / y,x)). [hyper(240,a,18682,a(flip),b,18690,a(flip)),flip(a)]. 18692 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). [hyper(240,a,12852,a(flip),b,18691,a)]. 18693 ((x \ (x / y)) * x) * ((z / (x / y)) * K(x,y \ 1)) = (y \ x) * (z / (y \ x)). [para(9949(a,1),18692(a,1,2))]. 18694 T((x / y) * (z / (x / y)),K(x,y)) = (y \ x) * (z / (y \ x)). [hyper(18613,a,18693,a)]. 18695 x * K(y \ z,(x / z) * y) = (y \ z) * (x / (y \ z)). [hyper(240,a,18404,a(flip),b,18694,a(flip)),flip(a)]. 18696 L(x \ y,x,z / y) * ((z / y) * x) = (x \ y) * (z / (x \ y)). [hyper(240,a,14061,a,b,18695,a(flip)),flip(a)]. 18697 L(x,y,T(z,(z / u) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(18696(a,1),13012(a,1,3)),flip(a)]. 18698 L(x,y,T(z,(u \ z) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(9526(a,1),18697(a,1,3))]. 18699 L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,u \ z)). [hyper(240,a,13902,a(flip),b,18698,a(flip))]. 18700 ((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(11802(a,1),14175(a,2,1,2))]. 18701 ((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(17917(a,1),18700(a,2,1))]. 18702 ((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(15054(a,1),18701(a,2,1))]. 18703 ((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(11802(a,1),18702(a,2,2))]. 18704 ((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(240,a,18513,a(flip),b,18703,a)]. 18705 ((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(240,a,18562,a(flip),b,18704,a)]. 18706 ((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(5078(a,1),18705(a,2,2))]. 18707 ((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(240,a,6964,a,b,18706,a)]. 18708 ((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(240,a,8031,a(flip),b,18707,a)]. 18709 ((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(240,a,14923,a(flip),b,18708,a)]. 18711 ((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(240,a,14958,a(flip),b,18709,a)]. 18712 (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(11802(a,1),18711(a,1,1))]. 18713 (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(17678(a,1),18712(a,1,2,2,2))]. 18714 (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(18511(a,1),18713(a,1,2,2,2))]. 18715 (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(18561(a,1),18714(a,1,2,2,2))]. 18716 (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(14945(a,1),18715(a,1,2,2,2))]. 18717 K(x,L(y / T(z,u * w),z \ x,K(w \ u,(u \ w) * z))) = K(x,y / T(z,w \ u)). [hyper(14211,a,18716,a)]. 18718 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,w * u)) = v5. [para(18717(a,1),16122(a,1))]. 18719 K(x,y / T(z,u / w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(15249(a,2),18718(a,1))]. 18720 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,u \ w)). [hyper(18719,a,18348,a)]. 18721 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(240,a,16591,a(flip),b,18720,a(flip))]. 18722 K(x,y * T(z,u \ (w * v5))) = K(x,y * T(z,(w \ u) * v5)). [hyper(240,a,16929,a(flip),b,18721,a(flip)),flip(a)]. 18723 K(x,(y / z) * T(z,u * w)) = K(x,y * K(z,u \ w)). [para(5928(a,1),18721(a,1,2)),flip(a)]. 18724 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * ((z \ 1) * T(z,u \ w))). [para(6320(a,1),18721(a,1,2)),flip(a)]. 18726 K(x,K(y,z)) * K(x,z * T(y,u * w)) = K(x,T(y,u \ w) * z). [para(18721(a,1),14839(a,1,2))]. 18728 K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). [para(5928(a,1),18723(a,1,2)),flip(a)]. 18729 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). [hyper(240,a,16521,a,b,18728,a(flip)),flip(a)]. 18730 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(240,a,18721,a(flip),b,18722,a(flip))]. 18731 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * ((z \ 1) * T(z,(w \ u) * v5))). [para(6320(a,1),18730(a,1,2)),flip(a)]. 18732 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). [hyper(15203,a,18726,a),flip(a)]. 18733 x / (K(y,T(z,u * w) * v5) * x) = K(T(z,u \ w) * v5,y). [para(18732(a,1),5184(a,1,2,1))]. 18734 K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w). [hyper(16329,a,18733,a),flip(a)]. 18735 K(T((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * u,w). [hyper(240,a,14690,a(flip),b,18734,a(flip))]. 18736 K((x * (y \ z)) * (((y \ z) * x) \ u),w) = K(K((y \ z) * x,z * y) * u,w). [para(4780(a,1),18735(a,1,1)),flip(a)]. 18737 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z) * 1,z)). [hyper(240,a,16778,a,b,18724,a)]. 18738 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,y * (z * K(u,v6 * v7))). [hyper(240,a,16385,a(flip),b,18729,a)]. 18739 K(K((x \ y) * z,y * x) * u,w) = K(K(z,x \ y) * u,w). [para(10164(a,1),18736(a,1,1)),flip(a)]. 18740 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z),z)). [para(12(a,1),18737(a,2,2,2,1))]. 18741 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * K(u \ w,z)). [para(3189(a,1),18740(a,2,2,2))]. 18742 K(x,y * ((z \ 1) * T(z,u * w))) = K(x,y * K(u \ w,z)). [para(6320(a,1),18741(a,1,2))]. 18743 K(x,y * T(K(z * u,w) * 1,w)) = K(x,y * K(z \ u,w)). [hyper(240,a,16778,a,b,18742,a(flip)),flip(a)]. 18744 K(x,y * T(K(z * u,w),w)) = K(x,y * K(z \ u,w)). [para(12(a,1),18743(a,1,2,2,1))]. 18745 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). [para(3189(a,1),18744(a,1,2,2)),flip(a)]. 18746 K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). [hyper(240,a,17763,a,b,18745,a(flip)),flip(a)]. 18747 K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(18745(a,1),15057(a,1))]. 18748 K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). [para(14918(a,1),18738(a,1,2,2,2))]. 18749 K(x,y * ((z \ u) * K(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). [para(14083(a,1),18748(a,1,2,2)),flip(a)]. 18750 K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). [para(14083(a,1),18749(a,1,2,2)),flip(a)]. 18751 K(x,y * (z \ T(u * w,u * 1))) = K(x,y * (z \ (w * u))). [hyper(240,a,17043,a(flip),b,18750,a(flip))]. 18752 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [para(12(a,1),18751(a,1,2,2,2,2))]. 18753 K(x,y * (z \ ((u \ w) * u))) = K(x,y * (z \ T(w,u))). [para(14(a,1),18752(a,1,2,2,2,1)),flip(a)]. 18754 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) * (y \ 1)). [para(4953(a,1),18752(a,1,2)),flip(a)]. 18755 K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). [hyper(10299,a,18753,a),flip(a)]. 18756 K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). [para(12825(a,1),18755(a,1,2,1))]. 18757 K(x,(y \ ((z \ u) * z)) * w) = K(x,(y \ T(u,z)) * w). [hyper(10299,a,18756,a),flip(a)]. 18758 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (K(u \ z,u) * u)) * w). [para(4732(a,1),18757(a,1,2,1,2,1)),flip(a)]. 18759 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (u * K(u \ z,u))) * w). [para(3191(a,1),18758(a,2,2,1,2))]. 18760 K(x,(y \ T(z / (z / u),u)) * w) = K(x,((y \ u) * K(u \ z,u)) * w). [para(14181(a,1),18759(a,2,2,1))]. 18761 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). [hyper(240,a,16574,a(flip),b,18760,a)]. 18762 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z) * 1,z)). [hyper(240,a,16778,a,b,18731,a)]. 18763 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),18762(a,2,2,2,1))]. 18764 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * K((w \ u) * v5,z)). [para(3189(a,1),18763(a,2,2,2))]. 18765 K(x,y * ((z \ 1) * T(z,u * (w * v5)))) = K(x,y * K((w \ u) * v5,z)). [para(6320(a,1),18764(a,1,2))]. 18766 K(x,y * T(K(z * (u * w),v5) * 1,v5)) = K(x,y * K((u \ z) * w,v5)). [hyper(240,a,16778,a,b,18765,a(flip)),flip(a)]. 18767 K(x,y * T(K(z * (u * w),v5),v5)) = K(x,y * K((u \ z) * w,v5)). [para(12(a,1),18766(a,1,2,2,1))]. 18768 K(x,y * K((z \ u) * w,v5)) = K(x,y * K(u * (z * w),v5)). [para(3189(a,1),18767(a,1,2,2)),flip(a)]. 18769 K(x,y * K(z * (u * w),w \ u)) = K(x,K(w \ u,z) * y). [hyper(240,a,18315,a(flip),b,18768,a(flip))]. 18770 K(x,y * K(z * (u * w),w * u)) = K(x,K(w \ u,z) * y). [hyper(240,a,18728,a(flip),b,18769,a(flip)),flip(a)]. 18771 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(18747,a,18770,a),flip(a)]. 18773 K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). [hyper(240,a,17726,a(flip),b,18771,a(flip))]. 18774 K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). [hyper(240,a,17650,a(flip),b,18771,a(flip))]. 18775 x / (K(y,K(z * u,w) * v5) * x) = K(K(z \ u,w) * v5,y). [para(18771(a,1),5184(a,1,2,1))]. 18776 K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. [para(18775(a,1),5194(a,1))]. 18777 K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). [hyper(18776,a,16481,a),flip(a)]. 18778 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). [hyper(18776,a,18777,a),flip(a)]. 18779 K(K(x * (y * z),x * y) * u,w) = K(K(z,y \ x) * u,w). [hyper(240,a,18739,a(flip),b,18778,a(flip))]. 18780 K(K(x,y \ z) * u,w) = K(K(x,z * y) * u,w). [hyper(16487,a,18779,a),flip(a)]. 18781 K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(18779(a,1),16487(a,1))]. 18782 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,u * (z * y)) * w,v5). [hyper(16488,a,18780,a)]. 18783 K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). [hyper(240,a,16444,a(flip),b,18780,a(flip))]. 18784 (x * y) / (K(K(z,u * w) * v5,x) * y) = T(x,K(z,w \ u) * v5). [para(18780(a,1),5083(a,1,2,1))]. 18785 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y * u)) * w,v5). [hyper(18781,a,18782,a)]. 18786 (x * y) / (K(K(z,u * (w * v5)) * v6,x) * y) = T(x,K(z,(w \ u) * v5) * v6). [para(18785(a,1),5083(a,1,2,1))]. 18787 K(x,y \ K(z,u \ w)) = K(x,y \ K(z,u * w)). [hyper(240,a,17726,a(flip),b,18773,a(flip))]. 18788 K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). [hyper(240,a,17650,a(flip),b,18774,a(flip))]. 18789 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). [hyper(240,a,18761,a,b,18788,a(flip)),flip(a)]. 18790 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(240,a,16444,a(flip),b,18783,a(flip))]. 18791 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(5848(a,1),18790(a,1,1,2)),flip(a)]. 18792 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(5162,a,18784,a),flip(a)]. 18793 T(x,K(y,(z \ u) * w) * v5) != v6 | T(x,K(y,z \ (u / w)) * v5) = v6. [para(18792(a,1),16525(a,1))]. 18794 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u,z))). [hyper(240,a,16498,a(flip),b,18789,a)]. 18795 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ T(u,z)) * w). [hyper(240,a,16577,a(flip),b,18794,a)]. 18796 K(x,(y \ (z / (z / u))) * w) = K(x,(y \ T(u,z)) * w). [para(284(a,1),18795(a,1,2,1,2))]. 18797 T(x,K(y,(z \ u) * w) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(5162,a,18786,a),flip(a)]. 18798 T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(18793,a,18797,a)]. 18799 T(x,K(y,z * (a(u,w,v5) * v6)) * v7) = T(x,K(z * v6,y) * v7). [hyper(18542,a,18798,a),flip(a)]. 18800 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u * a(v6,v7,v8),w) * v5). [hyper(15687,a,18799,a),flip(a)]. 18801 T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(y,v5) * v6). [hyper(15680,a,18800,a),flip(a)]. 18802 T(x,K(a(y,z,u) * w,v5) * v6) = T(x,K(w,v5) * v6). [hyper(15313,a,18801,a)]. 18803 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(18801(a,1),18627(a,2,2,1))]. 18804 T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). [hyper(14643,a,18802,a)]. 18805 K(K(a(x,y,z) * u,w) * v5,v6) = (v6 * v7) / (T(v6,K(u,w) * v5) * v7). [para(18802(a,1),5070(a,1,2,1)),flip(a)]. 18806 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(18520,a,18804,a),flip(a)]. 18807 K(K(a(x,y,z) * u,w) * v5,v6) != v7 | K(K(u,w) * v5,v6) = v7. [para(18805(a,2),5089(a,1))]. 18808 K(K(x,y) * (((a(z,u,w) * x) * v5) \ v6),v7) = K((T(a(z,u,w) * x,y) * v5) \ v6,v7). [hyper(18807,a,16974,a)]. 18809 K(K(x,y) * (z \ ((a(u,w,v5) * x) * v6)),v7) = K(z \ (T(a(u,w,v5) * x,y) * v6),v7). [hyper(18807,a,16962,a)]. 18810 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(240,a,16483,a(flip),b,18806,a(flip)),flip(a)]. 18811 T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ v5)). [hyper(240,a,16571,a(flip),b,18810,a(flip))]. 18813 K((T(a(x,y,z) * u,w) * v5) \ v6,v7) = K(((a(x,y,z) * T(u,w)) * v5) \ v6,v7). [hyper(17034,a,18808,a),flip(a)]. 18814 K((T(a(x,y,z) * u,w) * w) \ v5,v6) = K(((a(x,y,z) * w) * u) \ v5,v6). [hyper(240,a,17250,a(flip),b,18813,a)]. 18815 K(((a(x,y,z) * u) * w) \ v5,v6) = K((u * (a(x,y,z) * w)) \ v5,v6). [hyper(240,a,17004,a(flip),b,18814,a(flip))]. 18816 K((x * (a(y,z,u) * (T(a(y,z,u) \ 1,x) / w))) \ x,v5) = K(w,L(v5,x,a(y,z,u) * x)). [hyper(240,a,17241,a(flip),b,18815,a(flip))]. 18817 K(x \ (T(a(y,z,u) * w,v5) * v6),v7) = K(x \ ((a(y,z,u) * T(w,v5)) * v6),v7). [hyper(240,a,17940,a(flip),b,18809,a(flip))]. 18818 K(x \ (T(a(y,z,u) * w,v5) * v5),v6) = K(x \ ((a(y,z,u) * v5) * w),v6). [hyper(240,a,17251,a(flip),b,18817,a)]. 18819 K(x \ ((a(y,z,u) * w) * v5),v6) != v7 | K(x \ (w * (a(y,z,u) * v5)),v6) = v7. [para(18818(a,1),14736(a,1))]. 18820 K((a(x,y,z) * (T(a(x,y,z) \ 1,u) / w)) \ 1,v5) = K(w,L(v5,u,a(x,y,z) * u)). [hyper(6162,a,18816,a)]. 18821 K((T(a(x,y,z) \ 1,u) / w) \ (a(x,y,z) \ 1),v5) = K(w,L(v5,u,a(x,y,z) * u)). [hyper(13803,a,18820,a)]. 18823 K(x * K(y,a(z,u,w) \ 1),v5) = K(x,L(v5,y,a(z,u,w) * y)). [para(14105(a,1),18821(a,1,1))]. 18824 K(x,L(y,z,a(u,w,v5) * z)) = K(x * a(u,w,K(v5,z)),y). [para(14286(a,1),18823(a,1,1,2)),flip(a)]. 18825 K(x,L(y,z,a(u,w,v5) * z)) = K(x,y). [hyper(240,a,16390,a(flip),b,18824,a)]. 18826 K(a(x,y,z) \ ((u / w) \ (a(x,y,z) * u)),v5) = K(w,L(L(v5,v6,a(v7,v8,v9) * v6),u,a(x,y,z))). [hyper(18090,a,18825,a),flip(a)]. 18828 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,a(y,z,u) * x) \ w,v5). [hyper(240,a,11323,a(flip),b,18825,a(flip)),flip(a)]. 18830 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(T(x,x * a(y,z,u)) \ w,v5). [para(4192(a,1),18828(a,2,1,1))]. 18831 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(L(x,z,K(u,y)) \ w,v5). [para(16834(a,1),18830(a,2,1,1))]. 18832 K((x * (a(y,z,u) * x)) \ ((a(y,z,u) * x) * w),v5) = K(x \ w,v5). [hyper(240,a,16839,a(flip),b,18831,a)]. 18833 K((x * (a(y,z,u) * x)) \ (x * (a(y,z,u) * w)),v5) = K(x \ w,v5). [hyper(18819,a,18832,a)]. 18835 K(a(x,y,z) \ (u \ (u \ (u * (a(x,y,z) * w)))),v5) = K(u \ w,v5). [hyper(18094,a,18833,a)]. 18836 K(a(x,y,z) \ (u \ (a(x,y,z) * w)),v5) = K(u \ w,v5). [para(13(a,1),18835(a,1,1,2,2))]. 18838 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = K(x,K(v7,v5) * v8). [hyper(240,a,15472,a(flip),b,18803,a)]. 18840 K(x,K(T(a(y,z,u),w) * v5,T(v6,v7)) * v8) = K(x,K(v6,v5) * v8). [para(7142(a,1),18838(a,1,2,1))]. 18841 K(x,K(y * a(z,u,w),T(v5,v6)) * v7) = K(x,K(v5,y) * v7). [para(10353(a,1),18840(a,1,2,1))]. 18842 K(x,y * K(z * a(u,w,v5),v6)) = K(x,K(v6,z) * y). [hyper(15284,a,18841,a)]. 18843 K(x * K(y * a(z,u,w),v5),v6) = v7 / (K(v6,K(v5,y) * x) * v7). [para(18842(a,1),5184(a,1,2,1)),flip(a)]. 18844 K(x * K(y * a(z,u,w),v5),v6) = K(K(v5,y) * x,v6). [hyper(240,a,16328,a(flip),b,18843,a)]. 18845 K(K(x,y) * z,u) != w | K(K(y * a(v5,v6,v7),x) * z,u) = w. [para(18844(a,1),14933(a,1))]. 18846 K(K(x * a(y,z,u),w) * (((v5 * w) \ v6) * v7),v8) = K(((v5 * (x / (x / w))) \ v6) * v7,v8). [hyper(18845,a,17873,a)]. 18847 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * (z / (z / y))) \ v6) * v7,v8). [hyper(240,a,17871,a(flip),b,18846,a(flip)),flip(a)]. 18848 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * T(y,z)) \ v6) * v7,v8). [hyper(240,a,17874,a(flip),b,18847,a)]. 18849 K((((a(x,y,z) * u) * T(w,u)) \ v5) * v6,v7) = K(((w * (a(x,y,z) * u)) \ v5) * v6,v7). [para(16089(a,1),18848(a,1,1,1,1)),flip(a)]. 18850 K((((a(x,y,z) * u) * w) \ v5) * v6,v7) = K(((u * (a(x,y,z) * w)) \ v5) * v6,v7). [para(17235(a,1),18849(a,1,1,1,1))]. 18851 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),18850(a,2,1,1))]. 18852 K(K(x,T(a(y,z,u),w)) * v5,v6) = K(a(x,a(y,z,u),w) * v5,v6). [para(10072(a,1),18851(a,1,1,1))]. 18853 K(a(x,a(y,z,u),w) * v5,v6) = K(K(x,a(y,z,u)) * v5,v6). [hyper(15274,a,18852,a),flip(a)]. 18855 K(a(x,a(y,z,u),w) * v5,v6) = K(v5,v6). [hyper(240,a,16396,a(flip),b,18853,a)]. 18857 T(x,a(y,a(z,u,w),v5) * v6) = (x * v7) / (K(v6,x) * v7). [para(18855(a,1),5083(a,1,2,1)),flip(a)]. 18858 T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). [hyper(240,a,5083,a(flip),b,18857,a)]. 18859 T(x,a(y,a(z,u,w),v5) \ v6) = T(x,v6). [para(14(a,1),18858(a,1,2)),flip(a)]. 18860 (a(x,a(y,z,u),w) * v5) * T(v6,v5) = v6 * (a(x,a(y,z,u),w) * v5). [para(18858(a,1),122(a,1,2))]. 18861 T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). [para(18022(a,1),18858(a,1,2))]. 18862 (a(x,a(y,z,u),w) * v5) * v6 = v5 * (a(x,a(y,z,u),w) * v6). [hyper(17237,a,18860,a)]. 18863 T(a(x,a(y,z,u),w) * v5,v6) = a(x,a(y,z,u),w) * T(v5,v6). [hyper(17245,a,18862,a)]. 18864 (a(x,a(y,z,u),w) * v5) \ v6 = a(x,a(y,z,u),w) \ (v5 \ v6). [hyper(73,a,58,a(flip),b,18862,a)]. 18865 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = T(R(a(z,a(u,w,v5),v6),y,x),x * y). [hyper(401,a,18862,a(flip),b,10048,a),flip(a)]. 18866 R(a(x,a(y,z,u),w),v5,v6) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. [hyper(73,a,18862,a(flip),b,118,a)]. 18867 (a(x,a(y,z,u),w) * (v5 * v6)) \ (v5 * (a(x,a(y,z,u),w) * v6)) = a(a(x,a(y,z,u),w),v5,v6). [hyper(73,a,18862,a(flip),b,94,a)]. 18870 (x * a(y,a(z,u,w),v5)) * v6 = x * (a(y,a(z,u,w),v5) * v6). [para(18022(a,1),18862(a,1,1))]. 18871 a(x,a(y,z,u),w) \ T(a(x,a(y,z,u),w) * v5,v6) = T(v5,v6). [hyper(73,a,18863,a,b,xx)]. 18872 (x * y) / (a(z,a(u,w,v5),v6) \ y) = x * a(z,a(u,w,v5),v6). [hyper(75,a,91,a(flip),b,18870,a)]. 18873 x / (a(y,a(z,u,w),v5) \ 1) = x * a(y,a(z,u,w),v5). [hyper(75,a,56,a(flip),b,18870,a)]. 18874 T(x / (a(y,a(z,u,w),v5) \ 1),1) = x * a(y,a(z,u,w),v5). [hyper(240,a,150,a,b,18873,a(flip)),flip(a)]. 18875 T(x / (x * a(y,a(z,u,w),v5)),x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. [para(18873(a,1),10147(a,1,1,2))]. 18876 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = (y * T(y \ v7,x)) \ v7. [para(18871(a,1),8493(a,1,1,2)),flip(a)]. 18877 T(x / (a(y,a(z,u,w),v5) \ 1),a(v6,a(v7,v8,v9),v10) \ 1) = x * a(y,a(z,u,w),v5). [hyper(240,a,18859,a,b,18874,a(flip)),flip(a)]. 18878 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = K(x,y \ v7). [hyper(240,a,7134,a(flip),b,18876,a)]. 18880 T((a(x,a(y,z,u),w) \ 1) * v5,a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ v5. [hyper(693,a,18877,a)]. 18881 (a(x,a(y,z,u),w) \ 1) \ v5 = v5 * a(x,a(y,z,u),w). [hyper(387,a,18877,a)]. 18882 x / (x * a(y,a(z,u,w),v5)) = a(y,a(z,u,w),v5) \ 1. [para(18881(a,1),62(a,1,2))]. 18883 T(a(x,a(y,z,u),w) \ 1,v5 * a(x,a(y,z,u),w)) = a(x,a(y,z,u),w) \ 1. [para(18882(a,1),18875(a,1,1))]. 18884 (a(x,a(y,z,u),w) \ 1) * v5 = a(x,a(y,z,u),w) \ v5. [hyper(240,a,18020,a(flip),b,18880,a(flip)),flip(a)]. 18886 R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (x * (a(y,a(z,u,w),v5) \ 1)) * v6. [para(18884(a,1),118(a,1,2))]. 18887 T(a(x,a(y,z,u),w) \ 1,v5) = a(x,a(y,z,u),w) \ 1. [hyper(240,a,18861,a(flip),b,18883,a(flip)),flip(a)]. 18889 ((x * a(y,z,u)) * w) \ (1 * (x * (a(y,z,u) * w))) = a(x,a(y,z,u),w) \ 1. [hyper(240,a,17257,a,b,18887,a(flip)),flip(a)]. 18890 x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [para(18887(a,1),17426(a,1,2))]. 18892 K(x,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). [para(18890(a,1),18878(a,1,2,1))]. 18893 ((x * a(y,z,u)) * w) \ (x * (a(y,z,u) * w)) = a(x,a(y,z,u),w) \ 1. [para(11(a,1),18889(a,1,2))]. 18894 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(T(a(z,a(u,w,v5),v6),x * y),y,x). [hyper(240,a,42,a,b,18865,a)]. 18895 (x * y) \ (y * (a(z,a(u,w,v5),v6) * T(x,y))) = R(a(z,a(u,w,v5),v6),y,x). [para(18024(a,1),18894(a,2,1))]. 18896 L(T(a(x,a(y,z,u),w),T(v5,v6)),v5,v6) = R(a(x,a(y,z,u),w),v6,v5). [hyper(240,a,10197,a(flip),b,18895,a(flip)),flip(a)]. 18898 R(a(x,a(y,z,u),w),v5,v6) = L(a(x,a(y,z,u),w),v6,v5). [para(18024(a,1),18896(a,1,1)),flip(a)]. 18900 L((x * y) \ (a(z,a(u,w,v5),v6) \ (x * (a(z,a(u,w,v5),v6) * y))),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [hyper(771,a,18867,a)]. 18901 a(x,a(y,z,u),w) \ ((v5 * v6) \ (v5 * (a(x,a(y,z,u),w) * v6))) = a(a(x,a(y,z,u),w),v5,v6). [hyper(240,a,18864,a(flip),b,18867,a(flip)),flip(a)]. 18902 a(x,a(y,z,u),w) \ L(T(a(x,a(y,z,u),w),v5),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). [para(189(a,1),18901(a,1,2))]. 18903 a(x,a(y,z,u),w) \ L(a(x,a(y,z,u),w),v5,v6) = a(a(x,a(y,z,u),w),v6,v5). [para(18024(a,1),18902(a,1,2,1))]. 18905 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) / y). [hyper(240,a,13587,a(flip),b,18754,a)]. 18906 K(x,(y \ K(z \ (u * w),y \ 1)) * (z \ (u * w))) = K(x,(z \ T(w * u,w)) / y). [para(12738(a,1),18905(a,1,2,1,2))]. 18907 K(x,(y \ T(z * u,z)) / w) = K(x,(y \ (u * z)) * (w \ 1)). [para(4953(a,1),18906(a,1,2)),flip(a)]. 18908 K(x,(y \ T(z * u,z)) / w) != v5 | K(x,(y \ (u * z)) / w) = v5. [para(18907(a,2),13799(a,1))]. 18909 K((x / y) \ x,z) = K(y,L(L(z,u,a(w,v5,v6) * u),x,a(v7,v8,v9))). [hyper(240,a,18836,a(flip),b,18826,a(flip)),flip(a)]. 18910 K(x,L(L(y,z,a(u,w,v5) * z),v6,a(v7,v8,v9))) = K(x,y). [hyper(8065,a,18909,a),flip(a)]. 18912 K(x,L(y,z,a(u,w,v5))) = K(x,y). [hyper(10099,a,18910,a)]. 18914 a(x,y,K(a(z,u,w),v5)) = 1. [hyper(74,a,18912,a,b,13625,a),flip(a)]. 18915 a(a(x,y,z),u,K(w,v5)) = 1. [hyper(74,a,18912,a,b,11277,a),flip(a)]. 18916 K(x,(a(y,z,u) \ w) \ v5) = K(x,w \ (a(y,z,u) * v5)). [hyper(240,a,13948,a(flip),b,18912,a(flip))]. 18917 a(x,y,K(z,a(u,w,v5))) = 1. [hyper(74,a,18912,a(flip),b,13627,a),flip(a)]. 18918 K(x,a(a(y,z,u),w,v5)) = 1. [hyper(74,a,18912,a(flip),b,13496,a),flip(a)]. 18919 K(x,a(y,z,a(u,w,v5))) = 1. [hyper(72,a,18912,a(flip),b,13715,a),flip(a)]. 18921 a(K(x,a(y,z,u)),w,v5) = 1. [hyper(240,a,13600,a,b,18914,a(flip)),flip(a)]. 18922 x * a(y,z,K(a(u,w,v5),v6)) != v7 | v7 = x. [para(18914(a,2),85(a,1,2))]. 18923 a(x,y,a(z,u,K(w,v5))) = 1. [para(13530(a,2),18914(a,1,3))]. 18924 a(a(x,y,z),K(u,w),v5) = 1. [hyper(240,a,47,a,b,18915,a(flip)),flip(a)]. 18926 a(a(x,y,K(z,u)),w,v5) = 1. [hyper(240,a,13644,a,b,18917,a(flip)),flip(a)]. 18929 T(x,a(a(y,z,u),w,v5)) = x. [hyper(37,a,18918,a)]. 18930 x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. [para(18918(a,2),85(a,1,2))]. 18933 L(x,y,K(z,a(u,w,v5))) = x. [hyper(33,a,18921,a)]. 18936 L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). [hyper(33,a,18923,a)]. 18942 L(x,K(y,z),a(u,w,v5)) = x. [hyper(33,a,18924,a)]. 18946 L(x,y,a(z,u,K(w,v5))) = x. [hyper(33,a,18926,a)]. 18947 x / a(a(y,z,u),w,v5) = a(a(y,z,u),v5,w) \ x. [hyper(16993,a,18933,a),flip(a)]. 18950 (K(x,y) * a(z,u,w)) \ v5 = K(y,x) * (a(z,u,w) \ v5). [hyper(240,a,16229,a(flip),b,18942,a(flip)),flip(a)]. 18951 (a(x,y,z) * K(u,w)) \ v5 = K(w,u) * (a(x,y,z) \ v5). [hyper(240,a,5202,a(flip),b,18942,a(flip)),flip(a)]. 18955 R(x,y,a(z,u,K(w,v5))) = x. [hyper(240,a,16659,a,b,18946,a(flip)),flip(a)]. 18956 (a(x,y,K(z,u)) * w) \ v5 = w \ (a(x,y,K(z,u)) \ v5). [hyper(240,a,235,a(flip),b,18946,a(flip)),flip(a)]. 18958 (a(x,y,K(z,u)) * w) / v5 = a(x,y,K(z,u)) * (w / v5). [para(18946(a,1),501(a,1,2))]. 18959 (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(18946(a,1),441(a,1,2,2,1))]. 18960 (((x * y) * z) * a(u,w,K(v5,v6))) / ((y * z) * a(u,w,K(v5,v6))) = R(x,y,z). [hyper(814,a,18955,a)]. 18963 (x \ 1) * a(y,z,K(u,w)) = x \ a(y,z,K(u,w)). [para(18955(a,1),393(a,1,1)),flip(a)]. 18964 L(a(x,y,z),u,K(w,v5)) = a(x,y,z). [hyper(18922,a,16840,a)]. 18966 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,y) = v6. [para(13623(a,1),18922(a,1)),flip(b)]. 18967 L(x,y,K(z,a(u,w,v5))) != v6 | v6 = x. [para(16827(a,1),18922(a,1))]. 18968 L(a(x,y,z),u,K(w,v5)) != v6 | a(x,y,z) = v6. [para(16840(a,1),18922(a,1)),flip(b)]. 18973 L(a(x,y,z) * K(u,a(x,y,z)),w,K(v5,v6)) * u = u * a(x,y,z). [para(18964(a,1),4843(a,2,2))]. 18974 L(a(x,y,z),u,T(w,v5)) = L(a(x,y,z),u,w). [para(18964(a,1),6389(a,1,1)),flip(a)]. 18975 a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). [para(18964(a,1),16651(a,1,1))]. 18976 T(a(x,y,z),L(u,w,v5)) = T(a(x,y,z),u). [para(18964(a,1),16846(a,1,1)),flip(a)]. 18977 a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). [para(18964(a,1),16835(a,1,2))]. 18978 L(x,y,a(z,u,K(w,v5))) != v6 | v6 = x. [para(13491(a,2),18967(a,1,3))]. 18979 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [hyper(240,a,11871,a,b,18936,a(flip)),flip(a)]. 18980 (x * (y * a(z,u,K(w,v5)))) * L(v6,a(z,u,K(w,v5)),x * y) = (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6). [para(18936(a,1),453(a,1,2,2))]. 18981 a(L(x,y,z) * u,w,K(v5,x)) = a(L(x,y,z),w,K(u,v5)). [hyper(13884,a,18979,a),flip(a)]. 18984 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,z)). [hyper(240,a,13563,a(flip),b,18979,a)]. 18985 a(x,y,K(L(z,u,w),v5)) = a(x,y,K(z,v5)). [para(11254(a,1),18979(a,1,3))]. 18987 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(13813,a,18984,a)]. 18989 a(x,y,K((z * u) \ (z * w),v5)) = a(v5,y,K(x,u \ w)). [para(11253(a,2),18984(a,1,3))]. 18991 K(x,L(y,z,L(u,w,v5))) = a(u,z,K(y,x)) * K(x,y). [para(18984(a,1),13627(a,1,1)),flip(a)]. 18992 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,w)). [hyper(240,a,11439,a,b,18985,a(flip)),flip(a)]. 18993 L(L(x,y,z),u,K(w,v5)) * T(v6,a(v5,u,K(L(x,y,z),w))) = L(x,y,z) * (v6 * a(v5,u,K(x,w))). [para(18985(a,1),17270(a,2,2,2))]. 18994 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,v6,v7))). [hyper(240,a,18979,a,b,18987,a)]. 18995 a(R(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(240,a,16994,a,b,18987,a(flip)),flip(a)]. 18997 R(x,y,z) * a(x,u,K(w,v5)) = L(R(x,y,z),u,K(w,v5)). [para(18995(a,1),16829(a,1,2))]. 19000 L(x \ 1,y,K(z,u)) = x \ a(x,y,K(u,z)). [hyper(16927,a,18963,a)]. 19001 T(x,L((y / a(z,u,K(w,v5))) / (v6 \ 1),v6 \ 1,a(z,u,K(w,v5)))) = T(x,y / (v6 \ a(z,u,K(w,v5)))). [para(18963(a,1),14439(a,2,2,2))]. 19002 a(x,y,K(z,u)) * ((w \ 1) * K(v5,v6)) = (w \ a(x,y,K(z,u))) * K(v5,v6). [para(18963(a,1),17475(a,1,1)),flip(a)]. 19003 x \ (R(x,y,z) * a(x,u,K(w,v5))) = R(x,y,z) * L(x \ 1,u,K(v5,w)). [para(19000(a,2),1163(a,2,2))]. 19004 L(a(x,y,z) \ 1,u,K(w,v5)) = a(x,y,z) \ 1. [para(18915(a,1),19000(a,2,2))]. 19005 T(a(x,y,z) \ 1,L(u,w,v5)) = T(a(x,y,z) \ 1,u). [para(19004(a,1),16846(a,1,1)),flip(a)]. 19006 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = K(v6,a(x,y,z)) * K(a(x,y,z),a(u,w,v5) * v6). [para(18977(a,1),17248(a,1,1,1))]. 19008 a(x,y,K(z,L(u \ 1,w,v5))) != v6 | a(u,y,K(z,L(x,v7,v8))) = v6. [para(18994(a,1),13811(a,1))]. 19009 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(240,a,11291,a(flip),b,18991,a)]. 19010 K(x,L(y,z,L(u,w,v5))) != v6 | K(x,L(y,z,u)) = v6. [para(18991(a,2),11298(a,1))]. 19011 K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). [hyper(240,a,13580,a(flip),b,19009,a)]. 19012 K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). [hyper(240,a,13571,a(flip),b,19009,a)]. 19013 K(x,L(L(y,z,u) * (y \ w),y \ w,(y \ w) \ w)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [hyper(240,a,13763,a(flip),b,19009,a(flip))]. 19014 K(x,L(y,z \ u,u \ z)) = K(x,y). [para(352(a,1),19011(a,1,2,3))]. 19015 K(x,((y \ z) * (z \ y)) \ u) = K(x,(z \ y) \ ((y \ z) \ u)). [para(235(a,1),19014(a,1,2))]. 19016 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [para(19012(a,1),13681(a,1,2))]. 19017 K(x,L(y,z,(u * w) \ v5)) != v6 | K(x,L(y,z,w \ (u \ v5))) = v6. [para(235(a,1),19010(a,1,2,3))]. 19018 x \ (x * T(a(y,z,u) \ 1,L(w,v5,v6))) = T(a(y,z,u) \ 1,w). [hyper(240,a,13,a,b,19005,a(flip)),flip(a)]. 19019 K(x,(a(y,z,u) \ (w \ 1)) \ v5) = K(x,w * (a(y,z,u) * v5)). [hyper(240,a,13578,a(flip),b,18916,a)]. 19022 K(x,y) * (a(z,u,w) \ x) = a(z,u,w) \ T(x,y). [hyper(240,a,13522,a(flip),b,18950,a(flip))]. 19023 K(L(x,y,z),u) * (a(z,y,x) \ x) = T(a(z,y,x) \ x,u). [hyper(240,a,18449,a(flip),b,18951,a(flip))]. 19024 (a(x,y,K(z,u)) * w) \ v5 = w \ (a(u,y,K(z,x)) * v5). [para(13619(a,1),18956(a,2,2))]. 19025 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). [para(18975(a,1),18916(a,1,2,1))]. 19026 a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). [hyper(240,a,18987,a(flip),b,18981,a)]. 19028 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,z)). [para(19026(a,1),14071(a,2,2))]. 19029 L((x \ y) \ y,z,u) * (((x \ y) \ y) \ K(x,x \ y)) = L((x \ y) \ y,z,u) / x. [hyper(240,a,6177,a(flip),b,19016,a(flip))]. 19032 K(x,L(y,z,u)) * (a(u,z,x) \ x) = T(a(u,z,x) \ x,y). [hyper(240,a,11314,a(flip),b,19023,a(flip)),flip(a)]. 19033 a(x,y,z) \ T(z,L(u,y,x)) = T(a(x,y,z) \ z,u). [hyper(240,a,19022,a(flip),b,19032,a(flip)),flip(a)]. 19034 K(x,((y * z) \ y) \ ((y \ (y * z)) \ u)) = K(x,(z * ((y * z) \ y)) \ u). [para(13(a,1),19015(a,1,2,1,1)),flip(a)]. 19035 K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(13(a,1),19015(a,1,2,1,2)),flip(a)]. 19036 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,(y \ 1) \ v7). [hyper(240,a,18892,a(flip),b,19019,a(flip))]. 19037 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,y * v7). [hyper(240,a,13578,a(flip),b,19036,a)]. 19038 K(x,y * (z * a(u,a(w,v5,v6),v7))) = K(x,y * z). [hyper(16406,a,19037,a)]. 19039 K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * y). [hyper(240,a,18181,a(flip),b,19038,a(flip)),flip(a)]. 19041 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,K(v6,z) * ((y / z) \ v8)). [hyper(240,a,18746,a,b,19039,a(flip)),flip(a)]. 19042 K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). [hyper(19017,a,16174,a)]. 19043 T(a(x,y,z) \ 1,z) = z \ (a(x,y,z) \ z). [para(18451(a,1),19018(a,1,2)),flip(a)]. 19044 x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. [hyper(240,a,13205,a(flip),b,19043,a(flip))]. 19045 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [para(19044(a,1),14(a,1,2))]. 19046 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = L(u,y,K(z,x)). [hyper(240,a,16840,a(flip),b,19028,a)]. 19048 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(19046(a,1),107(a,1,2,2)),flip(a)]. 19049 K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). [hyper(240,a,13955,a(flip),b,19042,a(flip))]. 19050 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / (x * (x \ y))) * x),z). [hyper(240,a,11327,a,b,19049,a),flip(a)]. 19051 L(a(x,y,z) * a(u,y,K(z,x)),w,K(v5,v6)) * u = u * a(x,y,z). [para(13564(a,2),18973(a,1,1,1,2))]. 19052 L(T(a(x,y,z),u \ 1),w,K(v5,v6)) * u = u * a(x,y,z). [para(13772(a,1),19051(a,1,1,1))]. 19053 T(a(x,y,z),u \ 1) * u = u * a(x,y,z). [para(329(a,1),19052(a,1,1))]. 19054 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / y) * x),z). [para(14(a,1),19050(a,2,1,2,1,2))]. 19055 K(((x / y) * z) / x,u) = K(x / ((x / z) * y),u). [hyper(240,a,11372,a(flip),b,19054,a(flip)),flip(a)]. 19056 x / (K(y / ((y / z) * u),w) * x) = K(w,((y / u) * z) / y). [para(19055(a,1),5184(a,1,2,1))]. 19057 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(16329,a,19056,a),flip(a)]. 19058 K(x,L(y / (z / u),y,y \ z)) = K(x,((z / (y \ z)) * u) / z). [hyper(240,a,14539,a,b,19057,a),flip(a)]. 19059 K(x,L(y / (z / u),y,y \ z)) = K(x,(y * u) / z). [para(62(a,1),19058(a,2,2,1,1))]. 19060 a((x / y) \ z,z,K(u,z \ x)) \ K(u,(z * y) / x) = K(u,z / (x / y)). [hyper(73,a,19059,a(flip),b,16201,a)]. 19062 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(13544(a,1),19059(a,2,2,1))]. 19064 a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). [para(13950(a,1),18992(a,1,3))]. 19065 a(x,y * ((y \ z) * x),K(u,L(w,v5,v6))) = a(w,z,K(x,u)). [hyper(19008,a,19064,a)]. 19067 x * L(x \ y,y,K(z,L(u,x,w))) = y * a(x \ y,x,K(z,u)). [para(19065(a,1),18423(a,1,2)),flip(a)]. 19068 x * a(y \ x,y,K(y \ z,u)) = x * a(x \ y,z,K((w * z) \ (w * y),u)). [hyper(240,a,17068,a(flip),b,19067,a(flip))]. 19070 (x \ a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x \ K(v5,v6)). [para(13577(a,1),19002(a,1,2)),flip(a)]. 19071 T(x,(y * K(z,u)) / (w \ a(v5,v6,K(v7,v8)))) = T(x,y / (a(v5,v6,K(v7,v8)) * (w \ K(u,z)))). [para(19070(a,1),16117(a,2,2,2))]. 19072 R(x,y,z) * L(x \ 1,u,K(w,v5)) = x \ L(R(x,y,z),u,K(v5,w)). [para(18997(a,1),19003(a,1,2)),flip(a)]. 19073 K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ (y \ u)). [para(13(a,1),19034(a,1,2,2,1)),flip(a)]. 19074 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(2597(a,2),19034(a,2,2,1,2))]. 19075 K(x,(((y * z) \ y) * z) \ u) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),19035(a,1,2,1)),flip(a)]. 19076 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,(y / T(z,v6)) \ v8). [hyper(240,a,17675,a(flip),b,19041,a)]. 19077 K(x,(y / T(z,a(u,w,v5) \ v6)) \ v7) = K(x,(y / T(z,v6)) \ v7). [hyper(240,a,17765,a(flip),b,19076,a(flip)),flip(a)]. 19078 a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). [para(17980(a,1),19060(a,1,1))]. 19079 a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [hyper(13962,a,19078,a)]. 19080 a(x,y,K(z \ (y * u),z / y)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(18358(a,1),19079(a,1,1,3))]. 19081 a(x,y,K(z \ (y * u),y \ z)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(16197(a,1),19080(a,1,1))]. 19082 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(11427(a,1),19081(a,1,1))]. 19083 (x * a(x,y,K(z,y \ u))) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(19082(a,1),7328(a,2,2))]. 19084 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(13544(a,2),19082(a,1,2,2,1))]. 19085 L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(16829(a,1),19083(a,1,1))]. 19086 L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [hyper(17992,a,19085,a)]. 19087 L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [para(4800(a,2),19086(a,1,1))]. 19088 L(T(x,(y * z) / u),y,K(z,y \ u)) = T(x,y / (u / z)). [hyper(240,a,4800,a,b,19087,a)]. 19089 K(x,L((y * z) / u,y,z \ 1)) = (w \ x) \ (w \ T(x,y / (u / z))). [para(19088(a,1),17482(a,1,2,2)),flip(a)]. 19090 K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. [para(19089(a,2),14095(a,1))]. 19091 K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). [hyper(19090,a,14022,a(flip)),flip(a)]. 19092 K(x,((y * z) * (z \ 1)) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(240,a,14448,a(flip),b,19091,a(flip)),flip(a)]. 19093 K(x,R(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [para(203(a,1),19092(a,1,2,1))]. 19094 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(17114,a,19093,a)]. 19095 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(73,a,19094,a(flip),b,8148,a)]. 19096 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,K(v6,v5) * (w \ (a(y,z,u) * v7))). [hyper(240,a,17561,a(flip),b,19025,a)]. 19098 x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). [para(18989(a,1),19068(a,2,2))]. 19099 K(x,K(y,z) * ((a(u,w,v5) \ v6) \ v7)) = K(x,K(y,z) * (v6 \ (a(u,w,v5) * v7))). [hyper(17591,a,19096,a)]. 19100 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(240,a,17649,a(flip),b,19099,a(flip))]. 19101 L((x \ y) \ y,z,u) * (((y / x) \ y) \ 1) = L((x \ y) \ y,z,u) / x. [para(14157(a,1),19029(a,1,2))]. 19102 L((x \ y) \ y,z,u) * (x \ 1) = L((x \ y) \ y,z,u) / x. [para(65(a,1),19101(a,1,2,1))]. 19103 L((x \ y) \ y,z,u) * (x \ 1) = x \ L((x \ y) \ y,z,u). [hyper(240,a,14065,a(flip),b,19102,a)]. 19104 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). [hyper(240,a,17499,a,b,19103,a(flip)),flip(a)]. 19105 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [hyper(240,a,4626,a(flip),b,19104,a)]. 19106 a(x / T(y,y \ 1),y,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [para(4711(a,1),19105(a,1,1))]. 19107 K(x,L(L(y,z,u) * (y \ w),y \ w,y)) = K(x,(y \ w) * L((y \ w) \ w,z,u)). [hyper(16202,a,19013,a)]. 19109 K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(y * (L(y,u,w) \ 1)) \ z). [hyper(14025,a,19107,a),flip(a)]. 19110 K(x,(y \ z) * L((y \ z) \ z,u,w)) = K(x,(L(y,u,w) \ y) \ z). [para(1304(a,1),19109(a,2,2,1))]. 19111 K(x,(L(y,z,u) \ y) \ w) = K(x,L(y,z,u) * (y \ w)). [para(605(a,1),19110(a,1,2)),flip(a)]. 19112 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). [para(3648(a,1),19111(a,1,2,1)),flip(a)]. 19113 L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. [para(16060(a,1),18993(a,1,2)),flip(a)]. 19114 R(x,a(y,a(z,u,w),v5) \ 1,v6) * (a(y,a(z,u,w),v5) \ v6) = (a(y,a(z,u,w),v5) \ x) * v6. [para(18890(a,1),18886(a,2,1))]. 19115 ((a(x,a(y,z,u),w) \ v5) * v6) / (a(x,a(y,z,u),w) \ v6) = R(v5,a(x,a(y,z,u),w) \ 1,v6). [hyper(90,a,19114,a)]. 19116 R(x,a(y,a(z,u,w),v5) \ 1,v6) = (a(y,a(z,u,w),v5) \ x) * a(y,a(z,u,w),v5). [hyper(240,a,18872,a(flip),b,19115,a(flip))]. 19118 R(x,a(y,a(z,u,w),v5) \ 1,v6) = x. [hyper(240,a,18026,a(flip),b,19116,a)]. 19120 (a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6). [para(19118(a,1),19114(a,1,1)),flip(a)]. 19121 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ R(a(y,a(z,u,w),v5),v6,v7)). [hyper(3980,a,19120,a)]. 19122 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(240,a,17601,a(flip),b,19100,a(flip)),flip(a)]. 19123 K(x,(y / T(z,z \ y)) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(240,a,19077,a(flip),b,19122,a(flip)),flip(a)]. 19125 K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(w \ v5) \ (a(y,z,u) * v6)). [para(209(a,1),19123(a,1,2,1)),flip(a)]. 19126 x * K(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). [para(19125(a,1),4800(a,2,2)),flip(a)]. 19127 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,(w \ v5) \ (a(y,z,u) * v6)). [hyper(4803,a,19126,a),flip(a)]. 19128 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(240,a,5272,a(flip),b,18791,a)]. 19129 T(x,L((a(y,z,K(u,w)) * v5) / (v6 \ 1),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(16154(a,1),19001(a,1,2,1,1))]. 19130 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)). [para(12625(a,1),19095(a,1,1)),flip(a)]. 19132 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) \ K(x,u / (y / z)). [para(14858(a,1),19130(a,2,1))]. 19134 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) * K(x,u / (y / z)). [hyper(240,a,7538,a(flip),b,19132,a)]. 19135 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(240,a,15005,a(flip),b,19134,a)]. 19136 K(x,(y * (z \ 1)) \ L(y,z,z \ 1)) = K(x,z). [para(65(a,1),19135(a,2,2))]. 19137 K(x,(y \ 1) \ a(z,y,y \ 1)) = K(x,y). [hyper(240,a,18052,a(flip),b,19136,a(flip)),flip(a)]. 19138 K(x,y * a(z,y,y \ 1)) = K(x,y). [hyper(13780,a,19137,a)]. 19139 T(x,y * a(z,y,y \ 1)) = x * K(x,y). [para(19138(a,1),4800(a,2,2))]. 19140 ((1 / x) \ a(y,x,x \ 1)) * K(x \ 1,x) = a(y,x,x \ 1) / (1 / x). [para(19138(a,1),9020(a,1,2))]. 19141 T(x,y * a(z,y,y \ 1)) = T(x,y). [hyper(240,a,4800,a,b,19139,a)]. 19142 (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. [para(19141(a,1),520(a,1,2))]. 19143 x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). [para(19141(a,1),3921(a,1,2,1))]. 19144 K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 1),y). [hyper(5090,a,19143,a)]. 19145 T(x * a(y,x,x \ 1),z) != u * w | u \ (T(x,z) * a(y,x,x \ 1)) = w. [para(19144(a,1),5104(a,1))]. 19146 a(x,y,y \ 1) / (y \ 1) = (1 / y) \ a(x,y,y \ 1). [hyper(18,a,6067,a,b,19140,a),flip(a)]. 19147 (1 / x) \ (T(1 / x,x) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [hyper(19145,a,754,a(flip))]. 19148 (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. [hyper(19142,a,17247,a)]. 19149 L(x,a(y,x,x \ 1),z) = x. [hyper(240,a,14276,a(flip),b,19148,a(flip)),flip(a)]. 19150 (a(x,y,y \ 1) * z) * y = z * (y * a(x,y,y \ 1)). [para(19148(a,1),14(a,1,2))]. 19151 (x * a(y,z,z \ 1)) * z = x * (z * a(y,z,z \ 1)). [para(13544(a,1),19150(a,1,1))]. 19152 (1 / x) \ ((x \ 1) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(124(a,1),19147(a,1,2,1))]. 19153 (1 / x) \ ((x \ 1) * a(y,1 / x,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(65(a,1),19152(a,1,2,2,3))]. 19154 (1 / x) \ ((x \ 1) * a(y,x \ 1,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(4712(a,1),19153(a,1,2,2))]. 19155 (x \ a(y,1 / x,(1 / x) \ 1)) * x = K(x \ 1,x) * a(y,x \ 1,x). [hyper(5579,a,19154,a),flip(a)]. 19156 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,x)) * x. [para(65(a,1),19155(a,1,1,2,3)),flip(a)]. 19157 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,x \ 1,x)) * x. [para(4712(a,1),19156(a,2,1,2))]. 19158 (((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(240,a,8857,a,b,19157,a),flip(a)]. 19159 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [hyper(240,a,18650,a,b,19157,a(flip)),flip(a)]. 19160 K(x \ 1,x) * (a(y,x \ 1,x) * z) = ((x \ a(y,x \ 1,x)) * x) * z. [para(19157(a,1),3562(a,1,1)),flip(a)]. 19161 (x * L(x \ 1,x,y * (x \ 1))) \ z = ((x \ a(y,x \ 1,x)) * x) * z. [hyper(240,a,18235,a,b,19160,a(flip)),flip(a)]. 19162 ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y)) \ z. [para(10602(a,1),19161(a,1,1,2)),flip(a)]. 19163 T((x \ 1) * (L(x \ 1,x,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(2545(a,1),19159(a,1,1,2,1))]. 19164 T(L(x \ 1,x,y) \ (x \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(1304(a,1),19163(a,1,1))]. 19165 (x \ a((x \ 1) \ y,x \ 1,x)) * x = x \ (L(1 / x,x,y) \ 1). [hyper(240,a,17105,a(flip),b,19164,a(flip))]. 19166 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = (x \ a(y,x \ 1,x)) * x. [para(17360(a,1),19165(a,1,1,2)),flip(a)]. 19167 (x \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. [para(19165(a,1),19162(a,1,1))]. 19168 x * (y \ (L(1 / y,y,z) \ 1)) = (y * L(y \ 1,y,z)) \ x. [hyper(240,a,17102,a(flip),b,19167,a(flip)),flip(a)]. 19169 x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. [para(18129(a,1),19166(a,1,2))]. 19170 (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(19169(a,1),864(a,1,2,1))]. 19171 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(14134(a,1),19128(a,2,1,2))]. 19172 K(x * ((K(y,y \ K(z,u \ w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(17436(a,1),19171(a,1,1,2,1,1))]. 19173 K(x * ((K(y,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(18787(a,1),19172(a,1,1,2,1,1))]. 19174 K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). [para(17664(a,1),19173(a,1,1,2))]. 19175 K(x * (y * ((y \ K(z,u * w)) * y)),v5) = K(x * (K(z,w \ u) * y),v5). [para(16559(a,1),19174(a,1,1,2,2))]. 19176 K(x * (K(y,z * u) / (1 / w)),v5) = K(x * (K(y,u \ z) * w),v5). [para(18164(a,1),19175(a,1,1,2))]. 19177 K(x * (K(y,z * u) / (w \ 1)),v5) = K(x * (K(y,u \ z) * w),v5). [hyper(5849,a,19176,a)]. 19178 K(x * (K(y,z \ u) * w),v5) = K(x * (K(y,u * z) * w),v5). [para(14134(a,1),19177(a,1,1,2)),flip(a)]. 19179 x / (K(y * (K(z,u * w) * v5),v6) * x) = K(v6,y * (K(z,w \ u) * v5)). [para(19178(a,1),5184(a,1,2,1))]. 19180 K(x,y * (K(z,u \ w) * v5)) = K(x,y * (K(z,w * u) * v5)). [hyper(16329,a,19179,a),flip(a)]. 19181 K(x,((y * z) \ u) * (K(w,z * w) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [hyper(240,a,18473,a(flip),b,19180,a(flip))]. 19182 K(x,((y * z) \ u) * (K(w,w * z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(6682(a,1),19181(a,1,2,2,1))]. 19183 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,u) * v5)). [hyper(240,a,12916,a(flip),b,19182,a(flip))]. 19184 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(240,a,18472,a(flip),b,19183,a)]. 19185 K(x,((y * T(z,u)) \ w) * T(v5,(y * ((u \ z) * u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [hyper(240,a,15297,a(flip),b,19184,a(flip))]. 19186 K(x,((y * T(z,u)) \ w) * T(v5,(y * T(z,u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(17762(a,1),19185(a,1,2,2))]. 19187 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(240,a,15297,a(flip),b,19186,a(flip))]. 19188 K(x,y * (((z * u) \ w) * K(u,v5))) = K(x,y * ((z * T(u,v5)) \ w)). [hyper(18470,a,19187,a)]. 19189 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(240,a,18468,a,b,19188,a(flip)),flip(a)]. 19190 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,K(v5,y * (u * w))) * K(x,v5 * ((y * T(u,z)) \ w)). [para(19189(a,1),18360(a,1,2)),flip(a)]. 19191 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(240,a,18111,a(flip),b,19190,a)]. 19192 K(x,((y * ((y * z) / R(y,u,y))) \ w) * v5) = K(x,((L(y,u,y) * T(z,y)) \ w) * v5). [para(12905(a,1),19191(a,1,2,1,1))]. 19193 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,(T(y * u,y) \ w) * v5). [hyper(18225,a,19192,a),flip(a)]. 19194 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,((u * y) \ w) * v5). [hyper(240,a,17811,a(flip),b,19193,a)]. 19195 K(x,((y * L(z,u,z)) \ w) * v5) = K(x,((y * z) \ w) * v5). [para(9128(a,1),19194(a,1,2,1,1))]. 19196 K(x,((y * L(z / y,u,z / y)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(10188(a,1),19195(a,2,2,1))]. 19197 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(6935(a,1),19196(a,1,2,1,1,2))]. 19198 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ T(y,z)) * w). [hyper(240,a,18796,a(flip),b,19197,a)]. 19199 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(y / z) * w). [hyper(240,a,16461,a(flip),b,19198,a)]. 19200 T(x,L(a(y,z,K(u,w)) * (v5 / (v6 \ 1)),v6 \ 1,a(w,z,K(u,y)))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(18958(a,1),19129(a,1,2,1))]. 19201 T(x,a(y,z,K(u,w)) * (v5 / (v6 \ 1))) = T(x,v5 / (v6 \ a(w,z,K(u,y)))). [para(18946(a,1),19200(a,1,2))]. 19202 T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y / (z \ 1)). [hyper(240,a,16365,a(flip),b,19201,a(flip))]. 19205 T(x,y / (z \ a(u,w,K(v5,v6)))) = T(x,y * z). [hyper(240,a,13758,a(flip),b,19202,a)]. 19206 T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,(y * K(v8,v7)) * v6). [hyper(240,a,19071,a(flip),b,19205,a(flip)),flip(a)]. 19208 T(x,y / (a(z,u,K(w,v5)) * (v6 \ K(v7,v8)))) = T(x,K(v8,v7) * (y * v6)). [hyper(240,a,16531,a(flip),b,19206,a)]. 19209 T(x,y / (z \ K(u,w))) = T(x,K(w,u) * (y * z)). [para(7344(a,1),19208(a,1,2,2))]. 19210 T(x,K(y,z) * (T(u,w \ T(z,y)) * (w \ z))) = T(x,((w \ z) \ K(z,y)) \ u). [hyper(240,a,18525,a(flip),b,19209,a(flip))]. 19211 T(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [hyper(240,a,16473,a(flip),b,19210,a(flip)),flip(a)]. 19212 T(x,((y \ z) \ K(z,u)) \ w) = T(x,(y \ T(z,u)) * w). [hyper(10308,a,19211,a),flip(a)]. 19213 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). [hyper(16532,a,19212,a)]. 19214 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ T(z * y,y)) * w). [hyper(14646,a,19213,a)]. 19215 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ T(y * z,z)) * w). [hyper(14642,a,19213,a)]. 19216 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (u * z)) * w). [hyper(240,a,16536,a(flip),b,19214,a(flip))]. 19217 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (T(z,u) * u)) * w). [hyper(240,a,16537,a(flip),b,19215,a(flip))]. 19218 T(T(x,K(y,z * (u * w))),(z \ T(w * u,u)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(16713,a,19217,a(flip)),flip(a)]. 19219 T(T(x,K(y,z * (u * w))),(z \ (u * w)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(240,a,19216,a(flip),b,19218,a(flip)),flip(a)]. 19220 T(x,y * (z \ (T(u,w) * w))) = T(x,y * (z \ (w * u))). [hyper(15626,a,19219,a),flip(a)]. 19221 T(x,y * (((z * u) * w) \ (T(w,z * (u * w)) * (z * (u * w))))) = T(x,y * L(w,u,z)). [para(1616(a,2),19220(a,2,2,2))]. 19222 T(x,y * ((a(z,u,w) * v5) \ (v5 * v6))) = T(x,y * T(a(z,u,w) \ T(v6,v5),v5)). [para(17239(a,1),19220(a,1,2,2)),flip(a)]. 19223 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),19222(a,1,2,2,2)),flip(a)]. 19224 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). [hyper(240,a,18811,a(flip),b,19223,a(flip))]. 19226 T(x,y * T(a(z,u,w) \ T(w,z * (u * w)),z * (u * w))) = T(x,y * L(w,u,z)). [para(17257(a,1),19221(a,1,2,2))]. 19227 T(x,y * (a(z,u,w) \ w)) = T(x,y * L(w,u,z)). [hyper(240,a,18811,a(flip),b,19226,a(flip)),flip(a)]. 19229 (x * y) * (L(a(z,u,K(w,v5)),y,x) * v6) = (x * (y * a(z,u,K(w,v5)))) * v6. [para(18603(a,1),18980(a,1,2)),flip(a)]. 19230 (x * (y * a(z,u,K(w,v5)))) * v6 = (x * y) * (a(z,u,K(w,v5)) * v6). [para(18936(a,1),19229(a,1,2,1)),flip(a)]. 19231 (x * (a(y,z,K(u,w)) * v5)) * v6 = (x * v5) * (a(y,z,K(u,w)) * v6). [para(16082(a,2),19230(a,1,1,2))]. 19233 (x * y) * a(z,u,K(w,v5)) = x * (a(z,u,K(w,v5)) * y). [hyper(14004,a,19231,a)]. 19234 a(x,y,K(z,u)) * (w * v5) = w * (a(x,y,K(z,u)) * v5). [hyper(18,a,17242,a,b,19231,a),flip(a)]. 19235 K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. [para(19233(a,1),16383(a,1,2))]. 19236 (K(x,y) * z) \ (K(x,y) * (z * (a(x,z,K(u,y)) * u))) = u. [para(19233(a,1),17286(a,1,2,2))]. 19237 ((x * y) * (a(z,u,K(w,v5)) * v6)) / ((y * v6) * a(z,u,K(w,v5))) = R(x,y,v6). [para(19233(a,1),18960(a,1,1))]. 19238 x \ (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x \ v5). [hyper(555,a,19234,a)]. 19240 a(x,y,K(z,u)) * (w * (v5 * z)) = w * (v5 * L(z,y,K(u,x))). [para(16863(a,1),19234(a,2,2))]. 19242 (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). [hyper(240,a,19024,a,b,19238,a(flip)),flip(a)]. 19243 x \ ((a(y,z,K(u,w)) * v5) * L(v6,v5,a(y,z,K(u,w)))) = a(y,z,K(u,w)) * (x \ (v5 * v6)). [para(106(a,2),19238(a,1,2))]. 19244 (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). [para(16152(a,1),19242(a,1,1))]. 19245 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. [para(16828(a,1),19242(a,1,1)),flip(a)]. 19246 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [para(16842(a,1),19242(a,1,1)),flip(a)]. 19247 (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. [hyper(240,a,16148,a(flip),b,19245,a(flip)),flip(a)]. 19248 a(x,y,K(z,u)) * (L(u,w,v5) \ v6) = L(L(u,w,v5),y,K(z,x)) \ v6. [para(18979(a,1),19245(a,1,1))]. 19249 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [hyper(16927,a,19247,a)]. 19251 T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). [para(19247(a,1),16378(a,1,2,2))]. 19253 L(x \ 1,y * x,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(16917(a,1),19249(a,2,1))]. 19254 L(x \ 1,y * x,K(z,u)) = L(x \ 1,y,K(z,u)). [hyper(240,a,19249,a,b,19253,a)]. 19255 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(19254(a,1),5738(a,1,1,1))]. 19256 T(x,y * (a(z,u,w) / v5)) = T(x,y * (v5 \ a(z,u,w))). [hyper(240,a,18152,a(flip),b,19251,a(flip)),flip(a)]. 19257 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(19244(a,1),14164(a,2,2,2))]. 19259 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(a(u,w,v5) / z) * y). [hyper(240,a,18072,a(flip),b,19256,a(flip))]. 19260 L(a(x,y,K(z,u)) * z,y,K(x,u)) = z. [hyper(449,a,19236,a)]. 19261 L(L(x,y,K(z,u)),y,K(u,z)) = x. [para(16841(a,1),19260(a,1,1))]. 19262 T(L(x,y,K(z,u)),a(z,y,u)) = x. [hyper(16861,a,19261,a)]. 19263 K(x,y) * (z * L(u,z,K(y,x))) = (K(x,y) * z) * u. [para(19261(a,1),106(a,1,2)),flip(a)]. 19264 L(T(x,L(y,z,u)),z,K(y,u)) = T(x,y). [para(16866(a,1),19261(a,1,1))]. 19265 L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. [para(19261(a,1),16835(a,1,2)),flip(a)]. 19266 (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). [para(19262(a,1),177(a,1,1,2))]. 19267 T(x,L(y,z,a(u,w,v5))) = T(x,y). [hyper(18967,a,19264,a),flip(a)]. 19268 L(T(x,L((y * z) \ y,u,w)),z,K(L(z \ 1,u,w),y)) = T(x,L(z \ 1,u,w)). [para(359(a,1),19264(a,1,1,2))]. 19271 T(x,(a(y,z,u) \ w) \ v5) = T(x,w \ (a(y,z,u) * v5)). [para(454(a,1),19267(a,1,2)),flip(a)]. 19272 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(19265(a,2),14502(a,2,2,2))]. 19273 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(19265(a,1),16998(a,1,2,2,3,1))]. 19274 L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. [para(19266(a,1),815(a,1,1,1))]. 19275 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(19263(a,1),389(a,2,1))]. 19276 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,z / (a(u,w,v5) \ y)). [hyper(240,a,18075,a(flip),b,19271,a(flip))]. 19277 L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = (x * (y * L(z,w,K(v5,u)))) \ ((x * y) * L(z,w,K(v5,u))). [para(19240(a,1),16940(a,1,1)),flip(a)]. 19278 L(L(x,y,z),u,K(w,v5)) \ x = L(x,y,z) \ L(x,u,K(v5,w)). [hyper(17,a,16935,a,b,19248,a),flip(a)]. 19279 T(x,(a(y,z,u) / w) * v5) = T(x,(w \ a(y,z,u)) * v5). [hyper(240,a,18074,a(flip),b,19259,a(flip))]. 19280 T(x,(y \ a(z,u,z)) * w) != v5 | T(x,y \ w) = v5. [para(19279(a,1),13988(a,1))]. 19281 T(x,(y \ a(z,u,z)) * (a(w,v5,v6) \ (v7 \ v8))) = T(x,y \ ((a(w,v5,v6) * v7) \ v8)). [hyper(19280,a,19224,a),flip(a)]. 19282 T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). [hyper(240,a,18070,a(flip),b,19276,a(flip)),flip(a)]. 19283 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,v5 / (a(z,u,w) \ y)). [hyper(240,a,18003,a,b,19282,a(flip)),flip(a)]. 19284 T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,v5 / (a(y,z,u) \ w)). [hyper(240,a,17408,a(flip),b,19283,a(flip)),flip(a)]. 19285 T(x,y / (a(z,u,w) \ v5)) != v6 | T(x,(v5 / y) \ a(z,u,w)) = v6. [para(19284(a,1),6088(a,1))]. 19286 T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. [para(18530(a,2),19285(a,1))]. 19287 ((x * y) * (a(z,u,K(w,v5)) * v6)) / (y * (a(z,u,K(w,v5)) * v6)) = R(x,y,v6). [para(19233(a,1),19237(a,1,2))]. 19288 R(x,y,a(z,u,K(w,v5)) * v6) = R(x,y,v6). [hyper(483,a,19287,a)]. 19289 R(x,L(y,z,K(u,w)),v5) = R(x,y,v5). [hyper(17461,a,19288,a)]. 19290 R(x,y,L(z,u,K(w,v5))) = R(x,y,z). [para(16828(a,1),19288(a,1,3))]. 19292 R(R(x,y,z),u,a(w,v5,K(v6,v7))) = R(x,y,L(z,v8,K(v9,v10))). [hyper(240,a,18955,a,b,19290,a),flip(a)]. 19293 R(x,y,L(z,u,K(w,v5))) != v6 | R(x,y,z) = v6. [para(19292(a,1),342(a,1)),flip(b)]. 19294 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(16506,a,19272,a)]. 19295 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (L(y,u,K(z,w)) * a(z,u,w))). [hyper(240,a,14742,a(flip),b,19294,a(flip)),flip(a)]. 19296 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (a(z,u,w) * y)). [para(19265(a,1),19295(a,2,2,2))]. 19297 K(x,a(y,z,u) \ (w \ T(v5,w))) = K(x,v5 / (a(y,z,u) * w)). [hyper(18034,a,19296,a)]. 19298 K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)). [hyper(240,a,17690,a(flip),b,19297,a(flip))]. 19299 T(x,y \ ((a(z,u,w) * v5) \ v6)) != v7 | T(x,y \ (a(z,u,w) \ (v5 \ v6))) = v7. [para(19281(a,1),19280(a,1))]. 19300 x \ ((a(y,z,K(u,w)) * v5) * v6) = a(y,z,K(u,w)) * (x \ (v5 * v6)). [para(18946(a,1),19243(a,1,2,2))]. 19301 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y / (K(w,L(v5,u,z)) * v6)). [para(17277(a,1),19257(a,1,2,2)),flip(a)]. 19302 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(L(v5,u,z),w))). [hyper(240,a,14164,a(flip),b,19301,a)]. 19303 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(v5,L(w,u,z)))). [para(11309(a,1),19302(a,2,2,2,2))]. 19304 K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(u,w))) = v7. [para(19303(a,1),19235(a,1))]. 19305 K(x,y / (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) \ K(v5,w))). [hyper(19304,a,18238,a),flip(a)]. 19306 K(x,y / (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) \ K(w,u))). [hyper(240,a,17927,a,b,19305,a(flip)),flip(a)]. 19307 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y * ((w \ v5) \ K(u,z))). [hyper(240,a,17283,a,b,19306,a(flip)),flip(a)]. 19308 K(x,y * (((z / u) \ w) \ K(z,v5))) = K(x,y / ((T(z,v5) / u) \ w)). [para(13511(a,1),19307(a,1,2,2,1)),flip(a)]. 19309 K(x,y / ((T(z,u) / u) \ w)) = K(x,y / ((u \ z) \ w)). [hyper(17785,a,19308,a),flip(a)]. 19310 K(x,y / ((z / T(u,z)) \ w)) = K(x,y / ((u \ z) \ w)). [para(3954(a,1),19309(a,1,2,2,1))]. 19311 L(a(x,y,z),x * (y * z),a(u,w,K(z,v5))) = a(x,y,L(z,w,K(v5,u))). [hyper(240,a,24,a,b,19277,a)]. 19312 a(x,y,L(z,u,K(w,v5))) = a(x,y,z). [hyper(18978,a,19311,a)]. 19315 (K(x,y) * (T(y,z) * (u * w))) \ ((T(y,z) * (K(x,y) * u)) * L(w,u,K(x,y))) = a(T(y,z),K(x,y) * u,w). [hyper(240,a,9564,a,b,19312,a(flip)),flip(a)]. 19316 a(T(x,y),K(y,x) * z,u) = (x * (z * u)) \ ((x * z) * L(u,z,K(y,x))). [hyper(240,a,11538,a(flip),b,19312,a(flip))]. 19318 1 * K(x,(a(y,z,z \ 1) * u) / w) = K(x,u / (w / a(y,z,z \ 1))). [para(18914(a,1),19084(a,1,1))]. 19321 K(x,(y * a(z,u,u \ 1)) / w) = K(x,a(z,u,u \ 1) / (w / y)). [hyper(18033,a,19062,a),flip(a)]. 19323 K(x,(y * a(z,u,u \ 1)) / w) = K(x,(w / y) \ a(z,u,u \ 1)). [hyper(240,a,16228,a(flip),b,19321,a)]. 19324 K(x,(a(y,z,z \ 1) * u) / w) = K(x,(w / u) \ a(y,z,z \ 1)). [hyper(17020,a,19323,a)]. 19325 1 * K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). [para(19324(a,1),19318(a,1,2))]. 19326 K(x,y / (z / a(u,w,w \ 1))) = K(x,(z / y) \ a(u,w,w \ 1)). [hyper(77,a,19325,a),flip(a)]. 19327 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,(w / y) \ a(z,u,u \ 1)). [para(13546(a,1),19326(a,1,2,2))]. 19328 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(19265(a,1),19273(a,2,1))]. 19329 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(13563(a,2),19328(a,1,2,2))]. 19330 K(x,a(y,z,u)) * K(a(y,z,u),a(w,v5,v6) * x) = a(a(y,z,u),a(w,v5,v6),x) \ 1. [hyper(240,a,18893,a(flip),b,19006,a(flip))]. 19331 a(x,y,K(z,u)) * K(a(u,y,z),a(w,v5,v6) * x) = a(a(u,y,z),a(w,v5,v6),x) \ 1. [para(13564(a,2),19330(a,1,1))]. 19332 a(x,y,K(z,u)) * a(u,y,K(z,a(w,v5,v6) * x)) = a(a(u,y,z),a(w,v5,v6),x) \ 1. [para(13530(a,2),19331(a,1,2))]. 19333 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(19249(a,2),19275(a,1,1,1))]. 19334 (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(16082(a,1),18959(a,2,3))]. 19335 (a(x,y,K(z,u)) * (w * v5)) \ (w * (a(x,y,K(z,u)) * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(17242(a,1),18959(a,1,2))]. 19336 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(240,a,13260,a(flip),b,19074,a)]. 19337 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(z * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(150(a,1),19336(a,2,2,1,1))]. 19338 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(2303(a,1),19337(a,2,2,1))]. 19339 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(240,a,19075,a(flip),b,19338,a)]. 19340 K(x,((y * ((z \ 1) \ 1)) \ y) \ (((z \ 1) \ 1) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),19339(a,1,2,2,1))]. 19341 K(x,((y * ((z \ 1) \ 1)) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(240,a,5520,a(flip),b,19340,a(flip)),flip(a)]. 19343 K(x,((y * z) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(13891,a,19341,a)]. 19344 K(x,(y * ((z * y) \ z)) \ u) = K(x,y \ (((z * y) \ z) \ u)). [hyper(240,a,19073,a,b,19343,a(flip)),flip(a)]. 19345 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(240,a,19300,a(flip),b,19334,a(flip)),flip(a)]. 19346 (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(16863(a,1),19335(a,1,1))]. 19347 (a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * (a(x,y,K(z,u)) * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(19234(a,1),19335(a,1,2,2))]. 19348 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(16860(a,1),19346(a,1,2,2)),flip(a)]. 19349 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(240,a,28,a,b,19348,a)]. 19350 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(19242(a,1),19345(a,1,2))]. 19351 a(x,y,K(z,u)) * ((w * v5) \ (w * (v5 * (a(u,y,K(z,x)) * v6)))) = L(v6,L(v5,w,a(u,y,K(z,x))),a(u,y,K(z,x)) * w). [hyper(240,a,19242,a(flip),b,19347,a(flip)),flip(a)]. 19352 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),19350(a,1,2,2)),flip(a)]. 19353 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = L(x,y,z). [hyper(240,a,13620,a(flip),b,19352,a)]. 19355 L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = L(x,y,z). [para(16082(a,2),19353(a,1,3))]. 19356 L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). [para(18946(a,1),19353(a,1,2))]. 19357 L(x,y,(z * u) * K(w,v5)) = L(x,y,z * (u * K(w,v5))). [para(94(a,1),19356(a,1,3))]. 19358 L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). [para(11257(a,1),19356(a,1,3))]. 19359 L(x,y,K(L(z,u,w),v5)) = L(x,y,K(z,v5)). [para(11300(a,1),19356(a,1,3)),flip(a)]. 19360 L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). [para(16082(a,2),19356(a,1,3))]. 19361 L(L(x,y,K(z,u)),w,a(v5,v6,K(v7,v8))) = L(x,y,K(z,L(u,v9,v10))). [hyper(240,a,18946,a,b,19358,a),flip(a)]. 19362 L(x,y,z) * L(u,w,K(v5,L(x,y,z))) = L(L(x,y,z) * u,w,K(v5,x)). [hyper(240,a,18599,a(flip),b,19358,a(flip)),flip(a)]. 19363 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,R(y,z,u))). [hyper(240,a,17053,a(flip),b,19358,a(flip))]. 19364 L(T(x,L((y * z) \ y,u,w)),z,K(z \ 1,y)) = T(x,L(z \ 1,u,w)). [hyper(240,a,19268,a(flip),b,19359,a(flip))]. 19365 L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. [para(19359(a,1),3877(a,1))]. 19366 L(x,y,z * K(u,L(w,v5,v6))) = L(x,y,z * K(u,w)). [para(16311(a,1),19360(a,1,3))]. 19367 L(x,y,K(z,L(u,w,v5)) * v6) = L(x,y,v6 * K(z,u)). [hyper(17202,a,19366,a)]. 19368 L(x,y,K(L(z,u,w) \ v5,v5) * v6) = L(x,y,v6 * K(z \ 1,v5)). [hyper(240,a,16619,a,b,19366,a(flip)),flip(a)]. 19370 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,L(y,z,u))). [para(14442(a,1),19363(a,2,3))]. 19371 L(x,(y * z) * u,K(w,y)) = L(x,z * u,K(w,y)). [hyper(240,a,19358,a(flip),b,19370,a)]. 19372 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(17981,a,19371,a),flip(a)]. 19373 L(L(x,y,z * u),u * y,K(u,z)) = L(x,y,u * z). [hyper(10600,a,19371,a),flip(a)]. 19376 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(240,a,19255,a(flip),b,19372,a(flip))]. 19377 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(240,a,17207,a(flip),b,19372,a(flip)),flip(a)]. 19378 T(x,L(y,K(z,u) * w,v5)) = L(T(x,y),w,K(v5,y)). [hyper(240,a,16866,a(flip),b,19372,a(flip)),flip(a)]. 19379 L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). [para(5253(a,1),19372(a,1,2))]. 19380 a(x,K(y,z) * u,K(w,v5)) * a(v5,v6,K(v7,v8)) = v5 \ L(L(v5,v6,K(v7,v8)),u,K(x,w)). [para(19372(a,1),17106(a,1,2)),flip(a)]. 19381 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = L(L(x,y,K(w,v5)),y,K(z,u)). [hyper(240,a,18631,a,b,19377,a(flip)),flip(a)]. 19382 L(L(x,y,K(z,u)),y,K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). [para(19377(a,1),18232(a,1,1))]. 19383 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). [hyper(240,a,16866,a(flip),b,19378,a)]. 19385 T(x,L(y,z * u,w)) = T(x,L(y,u * z,w)). [para(4774(a,1),19383(a,1,2,2))]. 19386 T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). [para(4832(a,1),19383(a,1,2,2))]. 19387 T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). [para(5057(a,1),19383(a,1,2,2)),flip(a)]. 19388 L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). [para(16824(a,2),19379(a,1,2,2))]. 19389 L(L(x,y,z * u),y,K(u,z)) = L(x,y,u * z). [hyper(16886,a,19373,a)]. 19390 L(L(x,y,a(z,a(u,w,v5),v6) * a(u,w,K(v5,z))),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). [para(18114(a,1),19389(a,1,1,3))]. 19392 L(x,L(y,z,K(u,w)),v5) = L(x,y,v5). [hyper(240,a,19349,a(flip),b,19355,a(flip)),flip(a)]. 19395 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(19392(a,1),19333(a,1,1))]. 19396 L(x,y,K(z,L(u,w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(19361(a,1),330(a,1)),flip(b)]. 19398 L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. [para(11318(a,1),19396(a,1,3))]. 19400 L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,K(L(u,w,v5) \ v6,L(u,w,v5)) * z). [para(10739(a,1),19368(a,1,3)),flip(a)]. 19401 L(L(x,y,z) * u,w,K(v5,x)) = L(x,y,z) * L(u,w,K(v5,x)). [para(19358(a,1),19362(a,1,2)),flip(a)]. 19402 L(L(x,y,z) * (x \ u),y,K(z,x)) = (u / x) * L(x,y,z). [hyper(16914,a,19401,a(flip)),flip(a)]. 19404 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(19401(a,2),19048(a,2,2))]. 19406 K(x,L(y,z,u) * (y \ w)) = K(x,(w / y) * L(y,z,u)). [para(19402(a,1),16095(a,1,2)),flip(a)]. 19407 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). [hyper(240,a,19112,a(flip),b,19406,a(flip))]. 19408 K(x,a(y \ 1,y,z) \ u) = K(x,a(z,y,y \ 1) * u). [hyper(240,a,17319,a(flip),b,19407,a(flip))]. 19409 T(x,L((y * z) \ y,u,w)) = T(x,L(z \ 1,u,w)). [hyper(16848,a,19364,a),flip(a)]. 19411 T(x,L(L(y \ 1,z,u),y,w)) = T(x,L(y \ 1,z,u)). [hyper(240,a,14509,a,b,19409,a(flip)),flip(a)]. 19413 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u \ 1,z,y)). [hyper(240,a,11451,a(flip),b,19411,a(flip)),flip(a)]. 19414 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(9175,a,19413,a),flip(a)]. 19416 (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(240,a,13761,a,b,19414,a),flip(a)]. 19417 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(18,a,17106,a(flip),b,19380,a)]. 19418 a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). [hyper(18461,a,19417,a)]. 19419 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [para(1127(a,2),19417(a,1,2))]. 19423 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,z,K(x,u)). [hyper(240,a,18584,a,b,19419,a(flip)),flip(a)]. 19426 a(x,T(y,z) * u,K(w,v5)) = a(v5,y * u,K(x,w)). [hyper(240,a,18460,a(flip),b,19418,a(flip)),flip(a)]. 19427 K(x,L(y,z * K(u,w),v5)) = K(x,y) * a(y,z,K(x,v5)). [para(19418(a,1),13623(a,1,2)),flip(a)]. 19428 ((T(x,y) * (K(z,x) * u)) * w) / a(x,x * u,K(z,w)) = K(z,x) * ((T(x,y) * u) * w). [para(19426(a,1),13981(a,1,2))]. 19430 K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. [para(19427(a,2),13629(a,1))]. 19431 K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. [para(4813(a,1),19430(a,1,2,2))]. 19432 K(x,(y \ (z * u)) / ((y \ T(u,z)) * z)) = a(y,u,K(x,z)). [hyper(18908,a,19423,a)]. 19435 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ y. [para(5178(a,1),19376(a,2,1))]. 19437 ((T(x,y) * (K(z,x) * u)) * w) / a(w,u,K(x,z)) = K(z,x) * ((T(x,y) * u) * w). [para(13921(a,1),19428(a,1,2))]. 19439 a(x,y,K(z,u)) * ((T(z,w) * (K(x,z) * y)) * u) = K(x,z) * ((T(z,w) * y) * u). [hyper(16182,a,19437,a)]. 19440 (T(x,y) * (K(z,x) * u)) * L(w,u,K(z,x)) = K(z,x) * ((T(x,y) * u) * w). [hyper(240,a,16941,a(flip),b,19439,a(flip)),flip(a)]. 19441 (K(x,y) * (T(y,z) * (u * w))) \ (K(x,y) * ((T(y,z) * u) * w)) = a(T(y,z),K(x,y) * u,w). [para(19440(a,1),19315(a,1,2))]. 19443 L(x,L(y,K(z,u),K(w,T(v5,y))),K(w,T(v5,y)) * K(z,u)) = R(x,y,K(w,v5) * K(z,u)). [hyper(240,a,19382,a(flip),b,19381,a)]. 19444 L(x,y,K(z,T(u,y)) * K(w,v5)) = R(x,y,K(z,u) * K(w,v5)). [hyper(240,a,19392,a(flip),b,19443,a(flip)),flip(a)]. 19445 R(x,y,K(z,u) * K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(17204,a,19444,a),flip(a)]. 19447 L(L(x,y,K(z,u)),y,K(w,v5)) = L(x,y,K(z,u) * K(w,v5)). [hyper(240,a,19382,a,b,19445,a(flip)),flip(a)]. 19448 L(x,y,K(z,u)) \ L(x,y,K(w,v5)) = L(x,y,K(z,u) * K(v5,w)) \ x. [para(19447(a,1),19278(a,1,1)),flip(a)]. 19449 a(x,y,K(z,u)) * a(u,y,K(w,v5)) = L(u,y,K(z,x) * K(v5,w)) \ u. [hyper(240,a,16955,a(flip),b,19448,a(flip)),flip(a)]. 19450 L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) \ x = a(a(x,y,z),a(w,v5,v6),u) \ 1. [hyper(240,a,19332,a(flip),b,19449,a(flip))]. 19451 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(240,a,16936,a,b,19404,a)]. 19452 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(1299(a,1),19451(a,2,1))]. 19453 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = (x / y) * L(y,z,u). [hyper(240,a,19402,a(flip),b,19452,a)]. 19454 L(a(T(x,y),z,u),T(x,y) * (z * u),K(w,x)) = a(T(x,y),K(w,x) * z,u). [hyper(774,a,19441,a)]. 19455 a(T(x,y),K(z,x) * u,w) = a(T(x,y),u,w). [hyper(18968,a,19454,a),flip(a)]. 19457 (x * (y * z)) \ ((x * y) * L(z,y,K(u,x))) = a(T(x,u),y,z). [hyper(240,a,19316,a(flip),b,19455,a(flip)),flip(a)]. 19460 T(a(x,y,z),L(u,z,x * y)) = a(T(x,u),y,z). [hyper(240,a,16858,a(flip),b,19457,a(flip)),flip(a)]. 19461 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(13541,a,19460,a),flip(a)]. 19462 a(T(x,y),z,u) = T(a(x,z,u),y). [hyper(240,a,18976,a(flip),b,19460,a(flip))]. 19463 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(19460(a,1),16128(a,1))]. 19465 (x / a(y,z,u)) \ L(x,z,K(y,u)) = a(T(y,a(y,z,u) \ x),z,u). [hyper(240,a,16931,a,b,19462,a),flip(a)]. 19466 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,u),y,z). [hyper(240,a,13533,a,b,19462,a),flip(a)]. 19467 x * a(T(y,x),z,u) = a(y,z,u) * x. [para(19462(a,2),122(a,1,2))]. 19469 a(T(x,y \ 1),z,u) * y = y * a(x,z,u). [para(19462(a,2),19053(a,1,1))]. 19470 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(40(a,2),19461(a,1,1))]. 19471 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(124(a,1),19461(a,1,1)),flip(a)]. 19472 a(T(x,a(y,z,u)),w,v5) = a(x,w,v5). [hyper(17,a,18977,a,b,19467,a)]. 19473 a(T(T(x,y),y \ 1),z,u) = a(x,z,u). [hyper(18,a,19467,a(flip),b,19469,a)]. 19474 T(a(T(x,y \ 1),z,u) \ w,y) = (y * a(x,z,u)) \ (w * y). [para(19469(a,1),17239(a,1,1)),flip(a)]. 19475 a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). [para(115(a,2),19471(a,1,1))]. 19476 a(T(x,x \ 1) \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(19471(a,1),19106(a,1,1))]. 19477 a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. [para(13100(a,1),19463(a,1))]. 19478 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. [para(18191(a,2),19463(a,1))]. 19480 a(x,y,K(z,u)) * (a(z,y,x) \ w) = a(T(z,u),y,x) \ w. [para(19466(a,1),19244(a,1,1)),flip(a)]. 19481 a(L(x,x \ y,z),u,u \ 1) = a((z * (x \ y)) \ (z * y),u,u \ 1). [para(281(a,1),19470(a,1,1)),flip(a)]. 19482 T(x * (a(y,z,u) \ 1),x) = x * (a(T(y,x),z,u) \ 1). [para(19480(a,1),16991(a,1,2)),flip(a)]. 19483 a(T(x,a(x,y,z) \ u),y,z) = a(x,y,z) * a(x,y,K(z,u)). [hyper(16949,a,19465,a),flip(a)]. 19484 a(T(x,a(x,y,z) \ u),y,z) = a(T(x,u),y,z). [hyper(240,a,19466,a(flip),b,19483,a)]. 19485 a(x \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(18435(a,1),19476(a,1,1))]. 19486 (x * (y \ 1)) \ (x / y) = L(y,y \ 1,x) * (1 / y). [hyper(240,a,17513,a(flip),b,19485,a(flip)),flip(a)]. 19487 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(7226(a,2),19485(a,1,1,1))]. 19488 (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). [para(19485(a,1),17412(a,1,1))]. 19489 ((x * (1 / y)) \ x) * (1 / y) = (x * (y \ 1)) \ (x / y). [para(2541(a,1),19486(a,2,1)),flip(a)]. 19490 T((x * (y \ 1)) / (x / y),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(19486(a,1),8100(a,1,2))]. 19491 (x * (y \ 1)) \ (x / y) = y \ ((x * (y \ 1)) \ x). [hyper(240,a,5783,a(flip),b,19489,a(flip))]. 19492 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,y \ 1,z)). [para(19488(a,1),14274(a,1,1))]. 19493 a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(240,a,17423,a(flip),b,19475,a(flip))]. 19494 a((x * (y \ z)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,x). [hyper(240,a,18547,a(flip),b,19481,a(flip))]. 19495 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(5566(a,1),19494(a,1,1,1))]. 19496 T((x / y) \ (x * (y \ 1)),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(3671(a,1),19490(a,1,1))]. 19497 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),y \ 1) = x / ((1 / y) * L(y,y \ 1,z)). [para(3451(a,1),19492(a,1,2))]. 19498 T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [hyper(240,a,4424,a(flip),b,19496,a(flip)),flip(a)]. 19499 (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [hyper(240,a,13206,a(flip),b,19498,a(flip))]. 19501 (((x / y) \ (x * (y \ 1))) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [para(3671(a,1),19499(a,1,1,1))]. 19502 (1 * ((x * (y \ 1)) \ (x / y))) \ 1 = (x / y) \ (x * (y \ 1)). [para(17509(a,1),19501(a,1,1))]. 19503 (1 * (x \ ((y * (x \ 1)) \ y))) \ 1 = (y / x) \ (y * (x \ 1)). [para(19491(a,1),19502(a,1,1,2))]. 19504 (x \ ((y * (x \ 1)) \ y)) \ 1 = (y / x) \ (y * (x \ 1)). [para(11(a,1),19503(a,1,1))]. 19505 x * (a(y \ z,y,y \ 1) * K(y,y \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). [hyper(5588,a,19497,a)]. 19506 x * (y * (a(y \ z,y,y \ 1) / y)) = x / ((1 / y) * L(y,y \ 1,z)). [para(18056(a,1),19505(a,1,2))]. 19507 x / ((1 / y) * L(y,y \ 1,z)) = x * (y * (L(y,y \ 1,z) \ 1)). [para(18102(a,1),19506(a,1,2,2)),flip(a)]. 19508 x / ((1 / y) * L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(1304(a,1),19507(a,2,2))]. 19509 x / (y \ L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(4632(a,1),19508(a,1,2))]. 19510 (x \ L(x,x \ 1,y)) \ z = z * (L(x,x \ 1,y) \ x). [hyper(13207,a,19509,a)]. 19511 (x * (L(y,y \ 1,z) \ y)) \ x = y \ L(y,y \ 1,z). [para(19509(a,1),65(a,1,1))]. 19512 (x * (y * (a(z,y,y \ 1) / y))) \ x = y \ L(y,y \ 1,z * y). [para(18100(a,1),19511(a,1,1,2))]. 19513 (x * (a(y,x,x \ 1) / x)) \ 1 = x \ L(x,x \ 1,y * x). [hyper(14143,a,19512,a)]. 19514 a(x,y,y \ 1) \ K(y \ 1,y) = y \ L(y,y \ 1,x * y). [hyper(18086,a,19513,a)]. 19515 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(19514(a,1),13647(a,1,1,2))]. 19516 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(240,a,19388,a(flip),b,19395,a(flip)),flip(a)]. 19519 ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ z. [hyper(240,a,19435,a(flip),b,19516,a(flip))]. 19521 (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(240,a,9321,a(flip),b,19416,a)]. 19522 (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(150(a,1),19521(a,2,2,1))]. 19523 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(240,a,3061,a(flip),b,19522,a)]. 19524 K(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(4860,a,19523,a)]. 19526 K((x \ 1) \ 1,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). [hyper(11283,a,19524,a)]. 19527 K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(19526(a,1),5427(a,1))]. 19528 K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). [hyper(19527,a,14502,a)]. 19529 K(x,y / (((z \ u) * z) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(240,a,18124,a(flip),b,19528,a(flip)),flip(a)]. 19530 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(4977(a,1),19529(a,2,2,2,1))]. 19531 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (T(u,z) \ w)). [para(5078(a,1),19530(a,2,2,2))]. 19532 K(x,y / (T(z * u,z) \ w)) = K(x,y / ((u * z) \ w)). [para(13(a,1),19531(a,1,2,2,1,1)),flip(a)]. 19533 K(x,K(y,y * z) * (u / ((y * z) \ w))) = K(x,u / ((z * y) \ w)). [hyper(17768,a,19532,a)]. 19534 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(14953(a,1),19533(a,1,2,1))]. 19535 K(x,K(y,K(z,u)) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(7703(a,1),19534(a,1,2,1,2))]. 19536 K(x,K(y,K(z,u)) * (w / (u \ (K(z,y) * v5)))) = K(x,w / ((u * K(y,z)) \ v5)). [hyper(240,a,17285,a(flip),b,19535,a(flip)),flip(a)]. 19539 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y / (z \ (K(w,u) * v5))). [hyper(15226,a,19536,a),flip(a)]. 19541 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(u,w))). [hyper(240,a,19306,a(flip),b,19539,a)]. 19542 K(x,y * (((z \ 1) \ u) \ K(w,v5))) = K(x,y / ((z \ K(w,v5)) \ u)). [para(13577(a,1),19541(a,1,2,2,1)),flip(a)]. 19543 K(x,K(y,z) * (u / ((w \ 1) \ v5))) = K(x,u / ((w \ K(y,z)) \ v5)). [hyper(17635,a,19542,a)]. 19544 K(x,y / ((z \ K(z * u,w)) \ u)) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(19542(a,1),17855(a,1))]. 19545 K(x,y / ((z \ K(z * u,w)) \ u)) = K(x,y / T((z \ 1) \ u,w)). [hyper(15199,a,19543,a),flip(a)]. 19546 K(x,y / T((1 / z) \ u,w)) = K(x,y / T((z \ 1) \ u,w)). [hyper(19544,a,19545,a)]. 19547 L(x,L(y,z,a(u,w,K(v5,v6))),a(u,w,K(v5,v6)) * z) = a(v6,w,K(v5,u)) * L(a(u,w,K(v5,v6)) * x,y,z). [para(28(a,2),19351(a,1,2)),flip(a)]. 19548 a(x,y,K(z,u)) * L(a(u,y,K(z,x)) * w,v5,v6) = L(w,v5,v6). [hyper(240,a,19355,a(flip),b,19547,a(flip))]. 19549 L(a(x,y,K(z,u)) * w,v5,v6) = a(x,y,K(z,u)) * L(w,v5,v6). [hyper(13622,a,19548,a),flip(a)]. 19551 L(a(x,y,K(z,u)) * x,y,z) = K(x,u) \ T(L(x,y,z),u). [hyper(240,a,17276,a,b,19549,a)]. 19552 L(L(x,y,K(z,u)),y,z) = K(x,u) \ T(L(x,y,z),u). [para(16828(a,1),19551(a,1,1))]. 19553 L(L(x,y,K(z,u)),y,z) = K(x,u) \ L(T(x,u),y,z). [para(40(a,2),19552(a,2,2))]. 19554 L(L(x,y,K(z,u)),y,z) = K(u,x) * L(T(x,u),y,z). [hyper(240,a,5183,a(flip),b,19553,a)]. 19555 T(K(x,y) * L(y,z,u),x) = L(L(y,z,K(u,x)),z,u). [hyper(240,a,6873,a,b,19554,a),flip(a)]. 19556 T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). [hyper(240,a,16871,a(flip),b,19555,a)]. 19557 T(K(x,y) * L(y,z,T(x,u) / (x / u)),x) = L(y,z,x / (x / u)). [para(4126(a,1),19556(a,2,3))]. 19558 L(T(x,y),z,u) \ T(x,y) = L(x,z,T(u,y)) \ x. [para(19556(a,1),13525(a,1,1)),flip(a)]. 19559 T(K(x,y) * L(y,z,T(x,u) * (u / x)),x) = L(y,z,x / (x / u)). [para(16502(a,1),19557(a,1,1,2))]. 19560 L(x,y,T(T(z,u) * (u / z),z)) = L(x,y,z / (z / u)). [hyper(240,a,19556,a(flip),b,19559,a(flip)),flip(a)]. 19561 L(x,y,z / (z / u)) = L(x,y,z * (u / z)). [para(5213(a,1),19560(a,1,3)),flip(a)]. 19562 K((a(x,y,y \ 1) * (z \ 1)) \ K(y \ 1,y),u) = K(z * (y \ L(y,y \ 1,x * y)),u). [hyper(18966,a,19515,a),flip(a)]. 19564 K(x * (y \ L(y,y \ 1,z * y)),u) = K(a(z,y,y \ 1) \ x,u). [hyper(240,a,18091,a(flip),b,19562,a(flip))]. 19566 K(a(x,y,y \ 1) \ z,y) = K(z,y). [hyper(240,a,11044,a(flip),b,19564,a(flip))]. 19567 K(a(x,y,y \ 1) * z,y) = K(z,y). [hyper(8063,a,19566,a),flip(a)]. 19568 K(x,a(y,x,x \ 1) * z) = u / (K(z,x) * u). [para(19567(a,1),5184(a,1,2,1)),flip(a)]. 19569 K(x,a(y,x,x \ 1) * z) = K(x,z). [hyper(240,a,16328,a(flip),b,19568,a)]. 19570 K(x,y * a(z,x,x \ 1)) = K(x,y). [hyper(16238,a,19569,a)]. 19571 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(19570(a,1),13896(a,1,1)),flip(a)]. 19572 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(13544(a,1),19571(a,2,2,2))]. 19573 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(240,a,5166,a(flip),b,19572,a)]. 19574 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * T(x * a(y,x,x \ 1),z). [para(19144(a,1),19573(a,2,2))]. 19575 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = (x * a(y,x,x \ 1)) * z. [hyper(240,a,122,a(flip),b,19574,a)]. 19576 (x * a(y,x,x \ 1)) * z = x * (z * a(y,x,x \ 1)). [para(19149(a,1),19575(a,1,1)),flip(a)]. 19577 (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(73,a,9151,a,b,19576,a)]. 19578 (x * a(y,x,x \ 1)) \ (z * 1) = a(y,x,x \ 1) \ (x \ z). [para(13542(a,1),19577(a,1,2,2))]. 19579 (x * a(y,x,x \ 1)) \ z = a(y,x,x \ 1) \ (x \ z). [para(12(a,1),19578(a,1,2))]. 19581 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ (z \ (z * x))). [para(19579(a,1),18417(a,2,2))]. 19582 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(13(a,1),19581(a,2,2,2))]. 19583 x * (a(y,z,z \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(10942(a,1),19582(a,1,2,1))]. 19585 x * T(a(y,z,z \ 1) \ z,x) = z * (a(y,z,z \ 1) \ x). [para(18283(a,1),19583(a,1,2))]. 19586 (a(x,y,y \ 1) \ y) * z = y * (a(x,y,y \ 1) \ z). [hyper(231,a,19585,a)]. 19587 (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(73,a,12115,a,b,19586,a)]. 19588 (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(13136(a,1),19587(a,1,1,1))]. 19589 (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(13130(a,1),19588(a,1,1,1))]. 19592 (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(13136(a,1),19589(a,1,2,2,2,1))]. 19593 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,y,y \ 1) \ u))) = u. [para(13130(a,1),19592(a,1,2,2,2,1))]. 19595 (a(x,y,y \ 1) \ R(y,z,y)) \ (R(y,z,y) * (a(x,y,y \ 1) \ u)) = u. [para(12115(a,1),19593(a,1,2))]. 19597 L(x,a(y,z,z \ 1) \ 1,R(z,u,z)) = x. [hyper(240,a,17463,a(flip),b,19595,a(flip)),flip(a)]. 19598 L(x,a(y,z,z \ 1) \ 1,z) = x. [hyper(13017,a,19597,a)]. 19599 L(x,L(y,y \ 1,z) * (1 / y),y) = x. [para(19106(a,1),19598(a,1,2))]. 19600 L(x,L(y,y \ 1,z) * (y \ 1),y) = x. [hyper(240,a,4671,a(flip),b,19599,a(flip)),flip(a)]. 19601 L(x,y \ L(y,y \ 1,z),y) = x. [para(1071(a,1),19600(a,1,2))]. 19602 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(401,a,13283,a(flip),b,19601,a(flip)),flip(a)]. 19603 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(19510(a,1),19602(a,2,1))]. 19604 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [hyper(240,a,12083,a(flip),b,19603,a)]. 19606 a(x,y,x) \ ((z * (L(z,z \ 1,u) \ w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [para(1303(a,1),19604(a,1,2,1))]. 19607 x * (L(y,y \ 1,z) \ y) = y * (L(y,y \ 1,z) \ x). [hyper(240,a,16172,a(flip),b,19606,a(flip))]. 19608 (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(240,a,13678,a,b,19607,a),flip(a)]. 19609 x * (L(y,y \ 1,x) \ y) = y * T(x * (1 / y),y). [para(6282(a,1),19607(a,2,2))]. 19610 x * (L(y,y \ 1,x) \ y) = (x * (1 / y)) * y. [hyper(240,a,122,a(flip),b,19609,a)]. 19611 x * (L(y,y \ 1,x) \ y) = R(x,y \ 1,y). [hyper(240,a,2518,a(flip),b,19610,a)]. 19612 L(x,x \ 1,y) \ x = a(y,x \ 1,x). [hyper(17,a,3580,a,b,19611,a)]. 19613 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * (a(y,a(z,u,w),v5) \ L(a(y,a(z,u,w),v5),v7,v6)). [para(18898(a,1),19121(a,2,2,2))]. 19614 L(x,y,(z * a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6)) * K(u \ 1,v6)) = L(x,y,z * K(L(u,w,v5) \ v6,u)). [hyper(240,a,19367,a(flip),b,19400,a)]. 19616 L(x,y,z * (a(L(u,w,v5) \ v6,L(u,w,v5),L(u,w,v5) \ v6) * K(u \ 1,v6))) = L(x,y,z * K(L(u,w,v5) \ v6,u)). [hyper(240,a,19357,a(flip),b,19614,a(flip)),flip(a)]. 19617 L(x,y,z * K(L(u,w,v5) \ v6,u)) = L(x,y,z * K(u \ 1,v6)). [hyper(13021,a,19616,a),flip(a)]. 19618 L(x,y,z * K(u \ 1,w)) = L(x,y,z * K(w,u)). [hyper(240,a,13042,a(flip),b,19617,a(flip))]. 19619 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,T(w,u))). [para(7222(a,1),19618(a,1,3)),flip(a)]. 19620 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(1 / u,w)). [para(6896(a,1),19619(a,2,3,2))]. 19621 L(x,y,(z * (1 / u)) * K(w,u)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,16600,a(flip),b,19620,a)]. 19622 L(x,y,z * (1 / T(u,w))) = L(x,y,z * T(u \ 1,w)). [para(7192(a,1),19621(a,1,3))]. 19623 L(x,y,z * (T(u,w) \ 1)) = L(x,y,z * T(u \ 1,w)). [hyper(240,a,3808,a(flip),b,19622,a(flip)),flip(a)]. 19624 R(x / (x / a(y,a(z,u,w),v5)),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). [para(18903(a,1),19613(a,2,2))]. 19625 R(x / (a(y,a(z,u,w),v5) \ x),v6,v7) * (a(y,a(z,u,w),v5) \ x) = x * a(a(y,a(z,u,w),v5),v6,v7). [para(18021(a,1),19624(a,1,1,1,2))]. 19626 R(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v5,v6). [para(62(a,1),19625(a,1,1,1))]. 19628 L(a(x,a(y,z,u),w),v5,v6) * (a(x,a(y,z,u),w) \ v7) = v7 * a(a(x,a(y,z,u),w),v6,v5). [para(18898(a,1),19626(a,1,1))]. 19629 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(4711(a,1),19170(a,1,2,1,1,2)),flip(a)]. 19630 L(L(x,y,a(z,a(u,w,v5),v6)),y,K(K(z,v6),K(a(u,w,v5) * v6,z))) = L(x,y,K(z,v6) * K(a(u,w,v5) * v6,z)). [para(19356(a,1),19390(a,1,1))]. 19631 L(x,y,K(z,u) * K(a(w,v5,v6) * u,z)) = L(x,y,a(z,a(w,v5,v6),u)). [hyper(16601,a,19630,a)]. 19634 L(x,y,a(z,a(u,w,v5),v6)) \ x = a(a(x,y,z),a(u,w,v5),v6) \ 1. [para(19631(a,1),19450(a,1,1))]. 19635 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(19487(a,1),17410(a,1,1)),flip(a)]. 19636 (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(2545(a,1),19608(a,2,2,1))]. 19637 (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(6717(a,1),19636(a,2,2))]. 19638 (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(240,a,19168,a(flip),b,19637,a)]. 19639 (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(2545(a,1),19638(a,1,1,2,2,1))]. 19640 (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(2545(a,1),19639(a,1,2,1,1))]. 19641 (x \ 1) * (L(x \ 1,x,y) \ z) = (x * L(x \ 1,x,y)) \ z. [hyper(240,a,13678,a(flip),b,19640,a(flip)),flip(a)]. 19642 ((x * L(x \ 1,x,y)) \ z) / (1 / x) = z / L(1 / x,x,y). [para(19641(a,1),6637(a,1,1))]. 19643 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(2545(a,1),19635(a,2,1,1))]. 19644 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (1 / ((x \ y) \ 1))) * z. [para(352(a,1),19643(a,2,1,1))]. 19645 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (x \ y)) * z. [para(62(a,1),19644(a,2,1,2))]. 19647 ((x \ y) \ (1 / (y \ x))) \ z = ((x \ y) * (y \ x)) * z. [para(18616(a,1),19645(a,1,1))]. 19648 ((x \ y) \ (1 / (y \ x))) * z = ((x \ y) * (y \ x)) \ z. [hyper(309,a,19647,a),flip(a)]. 19649 x \ (((y \ z) * (z \ y)) \ x) = (y \ z) \ (1 / (z \ y)). [hyper(18,a,16985,a,b,19648,a),flip(a)]. 19650 x * ((y \ z) \ (1 / (z \ y))) = ((y \ z) * (z \ y)) \ x. [para(19649(a,1),14(a,1,2))]. 19652 ((x \ (x * y)) * ((x * y) \ x)) \ z = z * (y \ (1 / ((x * y) \ x))). [para(13(a,1),19650(a,1,2,1)),flip(a)]. 19653 (((x * y) \ x) * (x \ (x * y))) \ z = z * (((x * y) \ x) \ (1 / y)). [para(13(a,1),19650(a,1,2,2,2)),flip(a)]. 19654 (((x * y) \ x) * (x \ (x * y))) \ z = z * (y \ (((x * y) \ x) \ 1)). [para(6738(a,1),19650(a,1,2)),flip(a)]. 19655 x * (y \ (1 / ((z * y) \ z))) = (y * ((z * y) \ z)) \ x. [para(13(a,1),19652(a,1,1,1)),flip(a)]. 19656 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * ((y \ 1) \ (((x * (1 / y)) \ x) \ 1)). [para(2553(a,1),19652(a,2,2,2))]. 19657 (x \ (1 / ((y * x) \ y))) * z = (x * ((y * x) \ y)) \ z. [hyper(240,a,16983,a,b,19655,a(flip)),flip(a)]. 19658 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = (y * ((z * y) \ z)) \ ((y * ((z * y) \ z)) * x). [hyper(240,a,14364,a(flip),b,19655,a(flip)),flip(a)]. 19660 (((x * (y \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(62(a,1),19653(a,2,2,2))]. 19661 x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * y) \ x. [para(13(a,1),19654(a,1,1,2)),flip(a)]. 19662 (x \ (((y * x) \ y) \ 1)) * z = (((y * x) \ y) * x) \ z. [hyper(240,a,16980,a,b,19661,a(flip)),flip(a)]. 19663 (((x * (y \ 1)) \ x) * (y \ 1)) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(13(a,1),19660(a,1,1,2))]. 19665 (x \ ((y * (x \ 1)) \ y)) \ z = z * (((y * (x \ 1)) \ y) \ x). [para(1153(a,1),19663(a,1,1))]. 19666 ((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)). [hyper(71,a,19665,a(flip),b,19504,a(flip)),flip(a)]. 19668 (x \ ((y * (x \ 1)) \ y)) \ z = z * ((y / x) \ (y * (x \ 1))). [para(19666(a,1),19665(a,2,2))]. 19669 K(x,x \ 1) * ((y / x) \ (y * (x \ 1))) = (x \ ((y * (1 / x)) \ y)) \ 1. [hyper(240,a,14167,a(flip),b,19668,a(flip))]. 19670 (x / y) \ (x * (y \ K(y,y \ 1))) = (y \ ((x * (1 / y)) \ x)) \ 1. [hyper(240,a,4579,a(flip),b,19669,a(flip)),flip(a)]. 19671 (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (1 / x)). [para(1442(a,1),19670(a,1,2,2)),flip(a)]. 19672 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). [para(14258(a,1),19656(a,2,2))]. 19673 ((x \ 1) * ((y * (x \ 1)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(13(a,1),19672(a,1,1,1))]. 19675 (x \ ((y * (1 / x)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(4596(a,1),19673(a,1,1))]. 19676 ((x * (1 / y)) \ x) \ y = (x / y) \ (x * (1 / y)). [hyper(71,a,19675,a(flip),b,19671,a(flip)),flip(a)]. 19678 (x / (1 / y)) \ (x * (1 / (1 / y))) = y \ (1 / ((x * y) \ x)). [hyper(240,a,6741,a(flip),b,19676,a(flip))]. 19679 L(x,x \ 1,y) \ x = (y / x) \ (y * (1 / x)). [para(2541(a,2),19676(a,1,1))]. 19680 (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). [hyper(240,a,19612,a(flip),b,19679,a(flip))]. 19681 a(x,(1 / y) \ 1,1 / y) = y \ (1 / ((x * y) \ x)). [hyper(240,a,19680,a(flip),b,19678,a(flip)),flip(a)]. 19682 x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1). [hyper(240,a,9068,a(flip),b,19681,a(flip))]. 19683 a(x,x \ y,(x \ y) \ 1) = (x \ y) \ (1 / (y \ x)). [para(14(a,1),19682(a,1,2,2,1)),flip(a)]. 19684 x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1). [para(2295(a,2),19682(a,1,2))]. 19685 (x \ 1) \ a(y,x,x \ 1) = L(x \ 1,x,y) \ 1. [para(19682(a,1),6742(a,1,2))]. 19686 (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. [para(19682(a,1),19657(a,1,1)),flip(a)]. 19687 (x * L(x \ 1,x,y)) \ z = z * a(y,x,x \ 1). [para(19684(a,1),19168(a,1,2)),flip(a)]. 19688 a(x,y,y \ 1) * (L(1 / y,y,x) * z) = L(y \ z,y,(x * y) \ x). [hyper(240,a,11811,a(flip),b,19686,a(flip))]. 19689 K(x,y \ (((z * y) \ z) \ u)) = K(x,a(z,y,y \ 1) * u). [para(19686(a,1),19344(a,1,2)),flip(a)]. 19690 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(19685(a,1),19310(a,2,2,2,1))]. 19691 (x * a(y,z,z \ 1)) / (1 / z) = x / L(1 / z,z,y). [para(19687(a,1),19642(a,1,1))]. 19692 (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). [hyper(240,a,677,a(flip),b,19683,a(flip))]. 19693 (x * y) \ (x * (((x * y) \ x) \ 1)) = y \ (((x * y) \ x) \ 1). [hyper(240,a,6738,a(flip),b,19692,a(flip))]. 19694 K(x,(((y * z) \ y) * z) \ u) = K(x,a(y,z,z \ 1) * u). [hyper(240,a,19075,a,b,19689,a(flip)),flip(a)]. 19695 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. [hyper(240,a,13,a(flip),b,19658,a)]. 19697 (x * (y * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). [para(19695(a,1),14363(a,1,2))]. 19699 x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). [para(19697(a,1),62(a,1,2))]. 19701 (x \ (1 / ((y * x) \ y))) \ z = z * (x * ((y * x) \ y)). [hyper(240,a,17029,a(flip),b,19699,a(flip)),flip(a)]. 19702 x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. [para(19682(a,1),19701(a,1,1)),flip(a)]. 19703 a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x). [hyper(240,a,834,a(flip),b,19702,a(flip))]. 19704 a(K(x,y) * z,u,u \ 1) \ w = w * (u * ((z * u) \ z)). [para(19519(a,1),19702(a,1,2,2)),flip(a)]. 19705 ((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(19703(a,1),117(a,1,1,2))]. 19706 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(19703(a,1),490(a,1,3))]. 19707 a(K(x,y) * z,u,u \ 1) \ w = a(z,u,u \ 1) \ w. [hyper(240,a,19702,a(flip),b,19704,a)]. 19708 K(x,y) / (a(z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [para(19707(a,1),18227(a,1,2))]. 19709 K(x,y) / (R(z,u,u \ 1) \ 1) = R(K(x,y) * z,u,u \ 1). [para(17309(a,1),19708(a,1,2))]. 19711 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(14154,a,19709,a),flip(a)]. 19712 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(19711(a,2),17323(a,1,2))]. 19713 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(680,a,19712,a)]. 19714 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(18441,a,19713,a)]. 19715 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [para(17373(a,1),19714(a,1,1))]. 19716 a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). [para(6233(a,1),19715(a,1,1,2))]. 19717 a(x \ (K(y,z) * u),w,w \ 1) = a(x \ u,w,w \ 1). [para(6988(a,1),19715(a,1,1,2))]. 19718 a(x \ (y * (z * u)),w,w \ 1) = a(x \ (y * (u * z)),w,w \ 1). [para(7121(a,1),19715(a,1,1,2))]. 19719 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(240,a,19495,a(flip),b,19716,a(flip))]. 19720 a(x \ (K(y,z) * (u * w)),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(240,a,19717,a(flip),b,19718,a)]. 19721 a(x \ ((y / (y / z)) * u),w,w \ 1) = a(x \ (u * z),w,w \ 1). [para(5373(a,1),19720(a,1,1,2))]. 19722 a(((x \ y) * z) \ ((u / (u / z)) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(240,a,19493,a(flip),b,19721,a)]. 19723 a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(240,a,19716,a(flip),b,19722,a(flip)),flip(a)]. 19724 a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). [para(65(a,1),19723(a,1,1,2,1))]. 19725 K(x,y / ((a(z,u,u \ 1) / (u \ 1)) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(13543(a,1),19690(a,1,2,2,1,2))]. 19727 ((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(1620,a,19705,a)]. 19728 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(13546(a,1),19706(a,1,1))]. 19729 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(19691(a,1),19727(a,1,1)),flip(a)]. 19730 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = x. [hyper(240,a,16,a(flip),b,19729,a)]. 19732 R(x,a(y,z,z \ 1),L(1 / z,z,y)) = x. [para(19703(a,1),19730(a,1,3))]. 19733 (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z) = a(y,z,z \ 1) \ x. [hyper(240,a,19732,a(flip),b,19728,a(flip))]. 19735 (x * L(1 / y,y,z)) / (1 / y) = a(z,y,y \ 1) \ x. [para(19703(a,1),19733(a,1,1,2))]. 19736 (x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x. [hyper(1620,a,19735,a)]. 19737 (x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x. [hyper(4718,a,19736,a)]. 19738 (x / (y \ 1)) * ((z * y) \ z) = a(z,y,y \ 1) \ x. [hyper(240,a,354,a(flip),b,19737,a(flip)),flip(a)]. 19739 a(x,y,y \ 1) \ ((y \ 1) * z) = L(y \ 1,y,x) * z. [hyper(6381,a,19738,a),flip(a)]. 19740 a(x,y,y \ 1) * (L(y \ 1,y,x) * z) = (y \ 1) * z. [para(19739(a,1),14(a,1,2))]. 19741 (L(x \ 1,x,y) * z) * a(y,x,x \ 1) = (x \ 1) * z. [para(19739(a,1),13545(a,1,1))]. 19742 a(x,y,y \ 1) * (L(y \ 1,y,x) * (T(y,y \ 1) * z)) = (1 / y) * (y * z). [hyper(240,a,5563,a(flip),b,19740,a)]. 19743 (((x * y) \ x) * z) * a(x,y,y \ 1) = (y \ 1) * z. [para(171(a,1),19741(a,1,1,1))]. 19744 (x * ((y * z) \ y)) * a(y,z,z \ 1) = (z \ 1) * T(x,z \ 1). [para(6097(a,1),19743(a,1,1))]. 19745 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(19743(a,2),12710(a,1,2))]. 19746 (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). [hyper(240,a,122,a(flip),b,19744,a)]. 19747 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(19746(a,2),12778(a,1,2))]. 19748 a(x,y,y \ 1) * (L(1 / y,y,x) * (y * z)) = (1 / y) * (y * z). [para(16870(a,1),19742(a,1,2))]. 19749 L(x \ (x * y),x,(z * x) \ z) = (1 / x) * (x * y). [hyper(240,a,19688,a(flip),b,19748,a(flip)),flip(a)]. 19750 L(x,y,(z * y) \ z) = (1 / y) * (y * x). [para(13(a,1),19749(a,1,1))]. 19751 L(x,y,(z * y) \ z) = L(x,y,y \ 1). [hyper(240,a,2709,a(flip),b,19750,a)]. 19753 L(x,y,(z * y) \ z) != u | L(x,y,y \ 1) = u. [para(19750(a,2),2719(a,1))]. 19754 L(x,y,y \ 1) \ x = (x / (y * x)) * y. [para(19751(a,1),13063(a,1,1))]. 19755 (x / (y * x)) * y = a(y \ 1,y,x). [hyper(3650,a,19754,a),flip(a)]. 19757 L(x \ ((y / (x * y)) \ z),x,y / (x * y)) = a(x \ 1,x,y) \ z. [para(19755(a,1),235(a,2,1))]. 19758 L(x \ ((y / (x * y)) \ z),x,(y * x) \ y) = a(x \ 1,x,y) \ z. [hyper(240,a,13062,a(flip),b,19757,a(flip)),flip(a)]. 19759 L(x \ ((y / (x * y)) \ z),x,x \ 1) = a(x \ 1,x,y) \ z. [hyper(19753,a,19758,a)]. 19760 (1 / x) * ((y / (x * y)) \ z) = a(x \ 1,x,y) \ z. [hyper(2717,a,19759,a)]. 19762 (x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,x,y) \ z. [hyper(240,a,4600,a,b,19760,a(flip)),flip(a)]. 19763 (a(x \ 1,x,y) \ z) / (x \ 1) = z / R(x \ 1,x,y). [para(19760(a,1),11654(a,1,1))]. 19764 x \ (x * (y / R(z \ 1,z,u))) = (a(z \ 1,z,u) \ y) / (z \ 1). [hyper(240,a,13,a,b,19763,a),flip(a)]. 19765 (a(x \ 1,x,y) \ z) / (x \ 1) != u | z / R(x \ 1,x,y) = u. [para(19764(a,1),241(a,1)),flip(b)]. 19766 R(x \ 1,x,y) \ ((x \ 1) * (z / (x \ 1))) = (a(x \ 1,x,y) \ z) / (x \ 1). [para(18641(a,1),19764(a,1,2))]. 19767 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = R(x \ 1,x,y) \ ((x \ 1) * z). [para(15(a,1),19766(a,1,2,2)),flip(a)]. 19768 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = (x \ 1) * (R(x \ 1,x,y) \ z). [hyper(240,a,1169,a(flip),b,19767,a)]. 19769 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = a(x \ 1,x,y) \ z. [hyper(240,a,19762,a(flip),b,19768,a)]. 19770 (x * (y \ 1)) / R(y \ 1,y,z) = a(y \ 1,y,z) \ x. [hyper(19765,a,19769,a)]. 19771 a(x \ 1,x,y) \ ((1 / x) \ y) = x * y. [hyper(240,a,4339,a(flip),b,19770,a(flip))]. 19772 (x * y) / ((1 / x) \ y) = a(x \ 1,x,y) \ 1. [hyper(75,a,19771,a(flip),b,17902,a)]. 19773 (a(x \ 1,x,y) \ 1) \ T(x * y,z) = T((1 / x) \ y,z). [para(19772(a,1),14111(a,1,1))]. 19774 a(x \ 1,x,y) * T(x * y,z) = T((1 / x) \ y,z). [hyper(240,a,17903,a(flip),b,19773,a(flip)),flip(a)]. 19775 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((1 / y) \ z,w)). [para(19774(a,1),19298(a,1,2,2)),flip(a)]. 19776 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((y \ 1) \ z,w)). [hyper(240,a,19546,a(flip),b,19775,a)]. 19777 K(x,a(y,z,z \ 1) * (u / T(z * y,w))) = K(x,u / T((z \ 1) \ y,w)). [hyper(240,a,19408,a(flip),b,19776,a(flip)),flip(a)]. 19778 K(x,(y / T(z * u,w)) * a(u,z,z \ 1)) = K(x,y / T((z \ 1) \ u,w)). [hyper(16238,a,19777,a)]. 19779 K(x,(y / T(z * u,x)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(240,a,7704,a(flip),b,19778,a)]. 19780 K(x,(y / (z * u)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(15644,a,19779,a)]. 19781 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),z \ 1)) = K(x,(z \ 1) * w). [para(13135(a,1),19745(a,1,2,2))]. 19782 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) = K(x,(z \ 1) * w). [para(13131(a,1),19781(a,1,2,2))]. 19785 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) != v5 | K(x,z \ w) = v5. [para(19782(a,2),13865(a,1))]. 19786 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),u \ 1)) = K(x,y * (u \ 1)). [para(13135(a,1),19747(a,1,2,2))]. 19787 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) = K(x,y * (u \ 1)). [para(13131(a,1),19786(a,1,2,2))]. 19790 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) != v5 | K(x,y / u) = v5. [para(19787(a,2),13799(a,1))]. 19791 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),19719(a,1,1,2,1)),flip(a)]. 19792 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a(((x \ z) * u) \ (u * z),y,y \ 1). [hyper(240,a,13117,a(flip),b,19791,a)]. 19794 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = R(a(x,y,y \ 1),z,u). [hyper(240,a,19724,a(flip),b,19792,a)]. 19795 L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))) = R(a(x,y,y \ 1),z,u). [hyper(240,a,19561,a(flip),b,19794,a(flip)),flip(a)]. 19796 L(a(x,y,y \ 1),z,T(u,z \ x)) = R(a(x,y,y \ 1),z,u). [hyper(240,a,18699,a(flip),b,19795,a(flip)),flip(a)]. 19797 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [hyper(240,a,18974,a(flip),b,19796,a(flip))]. 19799 (x * y) * L(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [para(19797(a,1),18438(a,1,2))]. 19801 (a(x,y,y \ 1) * z) * u = z * (u * a(x,y,y \ 1)). [hyper(230,a,19799,a),flip(a)]. 19804 ((x * a(y,z,z \ 1)) * u) \ (u * (x * a(y,z,z \ 1))) = K(u,x). [para(19801(a,1),17334(a,1,2))]. 19805 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(269,a,19804,a)]. 19806 K(x,y * ((z * L(u,w,u)) \ z)) = K(x,y / u). [hyper(19790,a,19805,a),flip(a)]. 19807 K(x,((y * L(z,u,z)) \ y) * w) = K(x,z \ w). [hyper(19785,a,19805,a),flip(a)]. 19808 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(16239,a,19805,a)]. 19811 K(x,y / ((z \ 1) \ u)) = K(x,y / (z * u)). [hyper(240,a,19780,a(flip),b,19805,a(flip)),flip(a)]. 19820 K(x,y * ((z * u) \ z)) = K(x,y / u). [hyper(240,a,12913,a(flip),b,19806,a(flip)),flip(a)]. 19821 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(14(a,1),19820(a,1,2,2,1)),flip(a)]. 19822 K(x,((y * z) \ y) * u) = K(x,z \ u). [hyper(240,a,19195,a(flip),b,19807,a(flip)),flip(a)]. 19824 K(x,L(y / z,u,z \ y) \ w) = K(x,(z / y) * w). [hyper(240,a,19199,a(flip),b,19822,a(flip))]. 19825 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(14(a,1),19822(a,1,2,1,1)),flip(a)]. 19828 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) != w | a(u,z,K(x,z \ y)) = w. [para(19825(a,1),19478(a,1))]. 19830 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(240,a,12726,a(flip),b,19824,a(flip)),flip(a)]. 19833 K(x,(y / z) \ a(u,w,v5)) != v6 | K(x,a(u,w,v5) * (z / y)) = v6. [para(19830(a,2),16239(a,1))]. 19834 K(x,y / (a(z,u,u \ 1) \ w)) != v5 | K(x,a(z,u,u \ 1) * (y / w)) = v5. [para(19327(a,2),19833(a,1))]. 19835 (((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(5571(a,1),19158(a,2,1,1))]. 19836 (((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(13574(a,1),19835(a,2,1))]. 19837 (((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(15066(a,1),19836(a,2,1))]. 19838 (((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(14149(a,1),19837(a,2,2))]. 19840 (((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(14236(a,2),19838(a,2,2))]. 19841 (((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(14254(a,1),19840(a,2,2))]. 19842 (((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(240,a,18055,a(flip),b,19841,a)]. 19844 (((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(14149(a,1),19842(a,1,1,1,2))]. 19845 (((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(14236(a,2),19844(a,1,1,1,2))]. 19846 (((x \ K(x,y)) \ a(z,x,x \ 1)) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14254(a,1),19845(a,1,1,1,2))]. 19847 ((x \ 1) \ a(y,x,x \ 1)) * (x \ 1) = x * (a(y,x,x \ 1) / x). [para(4578(a,1),19846(a,1,1))]. 19849 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(19847(a,1),19629(a,2,2,1))]. 19850 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * (x * (a(y,x,x \ 1) / x)). [para(13547(a,1),19849(a,2,2))]. 19851 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [hyper(240,a,18085,a(flip),b,19850,a)]. 19853 x \ T(x * (a(y,x,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [para(4711(a,1),19851(a,1,2,1,2,1))]. 19854 x \ T(x * (a(y,x,x \ 1) / x),z) = (1 / x) * a(y,x,x \ 1). [para(62(a,1),19853(a,1,2,1,2,2))]. 19855 x \ (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(121(a,1),19854(a,1,2))]. 19856 (1 / x) * a(y,x,x \ 1) = a(y,x,x \ 1) / x. [hyper(242,a,19855,a),flip(a)]. 19858 (1 / x) * (x * a(y,x,x \ 1)) = (a(y,x,x \ 1) / x) * x. [para(19856(a,1),19151(a,1,1)),flip(a)]. 19859 (1 / x) \ a(y,x,x \ 1) = x * a(y,x,x \ 1). [hyper(73,a,16,a(flip),b,19858,a)]. 19860 a(x,y,y \ 1) / (y \ 1) = y * a(x,y,y \ 1). [hyper(240,a,19146,a,b,19859,a(flip)),flip(a)]. 19862 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / ((z * a(u,z,z \ 1)) \ w)). [para(19860(a,1),19725(a,1,2,2,1)),flip(a)]. 19863 K(x,y / (a(z,u,u \ 1) \ (u \ w))) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(19579(a,1),19862(a,2,2,2)),flip(a)]. 19864 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,a(u,z,z \ 1) * (y / (z \ w))). [hyper(19834,a,19863,a),flip(a)]. 19865 K(x,a(y,y \ z,(y \ z) \ 1) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(454(a,1),19864(a,1,2,2,1,1)),flip(a)]. 19866 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(95(a,2),19865(a,1,2,1))]. 19867 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),19866(a,2,2,2,1,1,2))]. 19868 K(x,(y \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(56(a,1),19867(a,1,2,1,1))]. 19869 K(x,((y * z) \ (y * (((y * z) \ y) \ 1))) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(13(a,1),19868(a,2,2,2,1,1))]. 19870 K(x,(y \ (((z * y) \ z) \ 1)) * (u / (((z * y) \ z) \ w))) = K(x,u / ((y \ 1) \ w)). [para(19693(a,1),19869(a,1,2,1))]. 19871 K(x,(((y * z) \ y) * z) \ (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(19662(a,1),19870(a,1,2))]. 19872 K(x,a(y,z,z \ 1) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [hyper(240,a,19694,a(flip),b,19871,a(flip)),flip(a)]. 19873 K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). [hyper(240,a,19808,a(flip),b,19872,a(flip)),flip(a)]. 19874 K(x,y / (((z * u) \ z) \ w)) = K(x,y / (u * w)). [hyper(240,a,19811,a(flip),b,19873,a)]. 19876 K(x,y / ((z \ u) \ w)) = K(x,y / ((u \ z) * w)). [para(14(a,1),19874(a,1,2,2,1,1))]. 19877 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(240,a,19821,a(flip),b,19876,a(flip))]. 19878 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(y,u,K(x,z)). [hyper(240,a,19432,a(flip),b,19877,a(flip))]. 19879 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(19828,a,19878,a)]. 19880 a(x,y,K(y \ z,u)) = a(y,x,K(u,z)). [hyper(13961,a,19879,a)]. 19881 a(x,y,K(y \ z,u)) = a(z,x,K(y,u)). [hyper(240,a,13563,a(flip),b,19880,a)]. 19882 x * a(y,z,K(x \ u,z \ u)) = x * a(u,u \ x,K(y,z)). [para(19880(a,1),19098(a,1,2)),flip(a)]. 19883 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(13813,a,19881,a)]. 19884 L(L(x,y,z),u,K(u \ w,v5)) * v6 = L(x,y,z) * (v6 * a(w,x,K(u,v5))). [para(19883(a,1),19113(a,1,2,2)),flip(a)]. 19885 x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). [para(13917(a,1),19882(a,2,2))]. 19886 x * a(y,z,K(x \ y,u)) = x * a(y,x,K(z,u)). [para(19879(a,1),19885(a,1,2))]. 19887 x * a(y,x,K(z,u)) = x * a(x,z,K(y,u)). [para(13867(a,1),19886(a,1,2)),flip(a)]. 19888 a(x,y,K(z,u)) = a(u,x,K(z,y)). [hyper(13848,a,19887,a),flip(a)]. 19889 x * a(y,x,K(z,u)) = L(x,z,K(y,u)). [hyper(240,a,16829,a(flip),b,19887,a)]. 19891 a(x,y,K(z * u,w)) = a(w,x,K(u * z,y)). [hyper(16205,a,19888,a)]. 19893 K(x,y) * a(z,u,K(x,y)) = K(x,L(y,z,u)). [para(19888(a,2),13624(a,1,2))]. 19894 x * a(y,x,K(z,u)) = L(x,y,K(u,z)). [para(19888(a,2),16827(a,1,2))]. 19895 L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. [para(19889(a,1),18922(a,1))]. 19897 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(240,a,19889,a(flip),b,19894,a(flip))]. 19898 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(240,a,16866,a(flip),b,19897,a)]. 19899 L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). [hyper(240,a,12996,a(flip),b,19897,a)]. 19900 T(x,L(y,z \ T(u,w),v5)) = L(T(x,y),v5,K(u \ z,y)). [hyper(240,a,17973,a(flip),b,19898,a(flip))]. 19901 T(x,L(y,z \ K(u,w),v5)) = L(T(x,y),v5,K(z,y)). [hyper(240,a,17970,a(flip),b,19898,a(flip))]. 19902 T(x,L(y,z,a(u,w,v5))) != v6 | T(x,y) = v6. [para(19898(a,1),19895(a,1)),flip(b)]. 19903 a(x,y,K(z * y,u)) = a(y,x,K(u,z)). [hyper(240,a,13612,a(flip),b,19891,a)]. 19904 a(x,y,K(z,z \ y)) \ (K((z \ y) * x,z) * (y * x)) = y * (x * K((z \ y) * x,z)). [para(19903(a,1),13839(a,1,1))]. 19905 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(13960,a,19893,a)]. 19906 K(x,L(y,z \ 1,u)) = K(x,L(y,u,z)). [hyper(16202,a,19905,a),flip(a)]. 19907 K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). [hyper(240,a,17378,a(flip),b,19905,a(flip))]. 19908 K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). [hyper(240,a,16518,a(flip),b,19906,a(flip))]. 19909 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(240,a,17955,a(flip),b,19908,a(flip))]. 19910 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(240,a,13949,a(flip),b,19908,a(flip)),flip(a)]. 19911 T(x,L(y,z,u \ z)) = x * K(x,L(y,u,z)). [para(19908(a,1),4800(a,2,2))]. 19912 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [para(19910(a,1),4800(a,2,2))]. 19913 T(x,L(y,z,u \ z)) = T(x,L(y,u,z)). [hyper(240,a,4800,a,b,19911,a)]. 19915 T(x,L(y,z,z \ u)) != w | T(x,L(y,z,u)) = w. [para(19912(a,2),4803(a,1))]. 19916 K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(10782(a,1),19907(a,1,2,1,1))]. 19917 T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). [hyper(240,a,16866,a(flip),b,19901,a)]. 19918 T(x,L(y \ R(y,z,u),y,w)) = T(x,y \ R(y,z,u)). [hyper(17023,a,19917,a),flip(a)]. 19919 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(132(a,1),19917(a,1,2,2,2))]. 19920 T(x,L((y / z) / (u \ 1),z,u)) = T(x,y / ((u \ 1) * z)). [hyper(240,a,14439,a(flip),b,19919,a(flip))]. 19921 T(x,y \ R(y,z,u)) = L(x,z,K(u,y)). [hyper(16884,a,19918,a),flip(a)]. 19922 T(K(x,T(y \ R(y,z,u),w)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). [hyper(401,a,19921,a(flip),b,7165,a)]. 19923 T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). [hyper(240,a,16866,a(flip),b,19900,a)]. 19924 T(x,(y / z) / (a(u,w,v5) \ 1)) = T(x,y / ((a(u,w,v5) \ 1) * z)). [hyper(19902,a,19920,a)]. 19925 T(x,y / ((a(z,u,w) \ 1) * v5)) = T(x,(y / v5) * a(z,u,w)). [hyper(240,a,13758,a(flip),b,19924,a(flip))]. 19926 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,(y / z) * a(u,w,v5)). [hyper(240,a,17700,a,b,19925,a(flip)),flip(a)]. 19927 L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v6,K(v5,w)) * u. [para(19899(a,1),19884(a,1,1)),flip(a)]. 19928 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,(y / z) * a(u,w,v5)). [hyper(17336,a,19926,a)]. 19929 T(x,(y / z) \ a(u,w,v5)) = T(x,(z / y) * a(u,w,v5)). [hyper(19286,a,19928,a)]. 19931 T(x,(y / (y * (z / y))) * a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(240,a,18107,a(flip),b,19929,a(flip))]. 19932 T(x,(((y / z) * z) \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). [hyper(240,a,16805,a(flip),b,19931,a(flip)),flip(a)]. 19933 T(x,y \ (z * a(u,w,v5))) = T(x,(y \ z) * a(u,w,v5)). [para(16(a,1),19932(a,1,2,1,1)),flip(a)]. 19934 T(x,y \ (a(z,u,w) * v5)) = T(x,(y \ v5) * a(z,u,w)). [hyper(240,a,16368,a,b,19933,a(flip)),flip(a)]. 19935 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,((w \ v5) \ v6) * a(y,z,u)). [hyper(240,a,19127,a,b,19934,a(flip)),flip(a)]. 19936 T(x,(y \ (a(z,u,w) \ v5)) * a(z,u,w)) = T(x,y \ v5). [para(14(a,1),19934(a,1,2,2)),flip(a)]. 19937 1 \ (K((x \ y) * z,x) * (y * z)) = y * (z * K((x \ y) * z,x)). [para(10022(a,1),19904(a,1,1))]. 19939 1 \ ((x * y) * K((z \ x) * y,z)) = x * (y * K((z \ x) * y,z)). [para(11650(a,1),19937(a,1,2))]. 19940 (x * y) * K((z \ x) * y,z) = x * (y * K((z \ x) * y,z)). [hyper(163,a,19939,a)]. 19941 (x * (y * z)) / (y * (z * K((x \ y) * z,x))) = T(x,(x \ y) * z). [para(19940(a,1),11652(a,1,2))]. 19942 (x * (y * z)) / (y * (z * K(y * (x \ z),x))) = T(x,(x \ y) * z). [para(12584(a,1),19941(a,1,2,2,2))]. 19943 T(x,(x \ y) * z) = T(x,y * (x \ z)). [hyper(15743,a,19942,a),flip(a)]. 19944 T(x,(x \ y) * z) != u | T(x,y * (x \ z)) = u. [para(19942(a,1),15743(a,1))]. 19945 T(x,L(x,y,z) * (x \ u)) = T(x,u * (x \ L(x,y,z))). [hyper(240,a,7808,a,b,19943,a(flip)),flip(a)]. 19946 T(x,(x \ y) * (a(z,u,x) \ x)) = T(x,y * (a(z,u,x) \ 1)). [para(19044(a,1),19943(a,2,2,2))]. 19947 T(x,(x \ y) * L(x,z,u)) = T(x,y * (a(u,z,x) \ 1)). [hyper(240,a,19227,a(flip),b,19946,a(flip)),flip(a)]. 19948 T(x,y * (a(z,u,x) \ 1)) = T(x,y * (x \ L(x,u,z))). [hyper(19944,a,19947,a),flip(a)]. 19949 T(x,y * (x \ L(x,z,u))) = T(x,a(u,z,x) \ y). [hyper(16297,a,19948,a),flip(a)]. 19950 T(x,L(x,y,z) * (x \ u)) = T(x,a(z,y,x) \ u). [hyper(240,a,19945,a,b,19949,a(flip)),flip(a)]. 19951 T(x,a(y,z,x) \ u) = T(x,u). [hyper(240,a,10985,a(flip),b,19950,a(flip))]. 19953 T(x,a(y,z,x) * u) = T(x,u). [para(13(a,1),19951(a,1,2)),flip(a)]. 19954 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = T(a(x,y,z),a(x,y,z) \ u) \ T(z,u). [para(19951(a,1),5770(a,1,2)),flip(a)]. 19955 (a(x,y,z) * u) * L(T(z,u),w,v5) = L(z,w,v5) * (a(x,y,z) * u). [para(19953(a,1),192(a,1,2,1))]. 19956 (a(x,y,z) * L(z,u,w)) \ (L(z,u,w) * (a(x,y,z) * v5)) = v5. [hyper(73,a,19955,a(flip),b,17244,a(flip))]. 19958 L(K(L(x,y,z),a(u,w,x)) * v5,a(u,w,x),L(x,y,z)) = v5. [hyper(240,a,10217,a(flip),b,19956,a(flip)),flip(a)]. 19959 L(a(L(x,y,z),u,K(x,w)) * v5,a(w,u,x),L(x,y,z)) = v5. [para(13564(a,2),19958(a,1,1,1))]. 19960 L(a(x,y,K(x,z)) * u,a(z,y,x),L(x,w,v5)) = u. [para(18987(a,1),19959(a,1,1,1))]. 19961 L(x,a(y,z,u),L(u,w,v5)) = x. [para(7344(a,1),19960(a,1,1))]. 19964 K(x,L((y * K(z,u)) \ w,y / u,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(17368(a,2),19916(a,1,2))]. 19965 K(x,L((y * K(z,u)) \ w,u \ y,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(19431,a,19964,a)]. 19966 K(x,L((y * K(z,u)) \ w,u \ y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(16141,a,19965,a)]. 19967 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(13943,a,19966,a)]. 19969 K(x,(y * K(z,y)) \ ((u / y) \ w)) = K(x,y \ ((T(y,z) / u) * w)). [hyper(240,a,19909,a(flip),b,19967,a(flip))]. 19970 K(x,K(y,z) * (y \ ((u / y) \ w))) = K(x,y \ ((T(y,z) / u) * w)). [hyper(17591,a,19969,a)]. 19971 K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,y \ ((w / y) \ v5)). [hyper(15226,a,19970,a),flip(a)]. 19972 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [para(1398(a,1),19971(a,1,2,2,1,1)),flip(a)]. 19973 x * K(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). [para(19972(a,1),4800(a,2,2)),flip(a)]. 19974 T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). [hyper(4803,a,19973,a),flip(a)]. 19975 T(x,(y \ z) \ (((y \ z) / z) * u)) = T(x,(y \ z) \ (y \ u)). [para(62(a,1),19974(a,1,2,2,1)),flip(a)]. 19976 T(x,L(y,z,z \ (u \ z))) = T(x,(u \ z) \ (u \ (z * y))). [para(10211(a,1),19975(a,1,2))]. 19977 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,z,y \ z)). [hyper(19915,a,19976,a),flip(a)]. 19978 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,y,z)). [hyper(240,a,19913,a(flip),b,19977,a)]. 19980 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(19299,a,19978,a)]. 19981 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(240,a,19935,a(flip),b,19980,a(flip)),flip(a)]. 19982 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,(v5 \ v6) \ (v5 \ (v6 * y))). [hyper(240,a,19936,a(flip),b,19981,a(flip))]. 19984 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,L(y,v5,v6)). [hyper(240,a,19978,a(flip),b,19982,a)]. 19985 T(x,L(y,z * a(u,w,v5),v6)) = T(x,L(y,z,v6)). [hyper(240,a,19385,a,b,19984,a(flip)),flip(a)]. 19986 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,a(x,y,z) \ u),y,z) \ T(z,u). [para(19462(a,2),19954(a,2,1))]. 19987 a(x,y,z) \ ((u / a(x,y,z)) \ (z * (a(x,y,z) \ u))) = a(T(x,u),y,z) \ T(z,u). [para(19484(a,1),19986(a,2,1))]. 19988 a(x,y,z) \ T(a(z,y,K(x,u)) * z,a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). [para(16990(a,1),19987(a,1,2))]. 19989 a(x,y,z) \ T(L(z,y,K(x,u)),a(x,y,z) \ u) = a(T(x,u),y,z) \ T(z,u). [para(16828(a,1),19988(a,1,2,1))]. 19990 a(x,y,z) \ L(T(z,a(x,y,z) \ u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). [para(40(a,2),19989(a,1,2))]. 19991 a(x,y,z) \ L(T(z,u),y,K(x,u)) = a(T(x,u),y,z) \ T(z,u). [para(19951(a,1),19990(a,1,2,1))]. 19992 a(T(x,y),z,u) \ T(u,y) = a(x,z,u) \ T(u,L(y,z,x)). [para(16866(a,1),19991(a,1,2)),flip(a)]. 19994 a(T(x,y),z,u) \ T(u,y) = T(a(x,z,u) \ u,y). [hyper(240,a,19033,a(flip),b,19992,a)]. 19995 a(T(T(x,y \ 1),y),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). [hyper(240,a,19474,a(flip),b,19994,a)]. 19996 a(T(T(x,y),y \ 1),z,u) \ T(u,y) = (y * a(x,z,u)) \ (u * y). [para(38(a,1),19995(a,1,1,1))]. 19997 (x * a(y,z,u)) \ (u * x) = a(y,z,u) \ T(u,x). [para(19473(a,1),19996(a,1,1)),flip(a)]. 19998 (x * y) / (a(z,u,x) \ T(x,y)) = y * a(z,u,x). [para(19997(a,1),62(a,1,2))]. 20000 (x * y) / (a(z,u,y) \ y) = x * a(z,u,y). [hyper(240,a,16672,a(flip),b,19998,a(flip)),flip(a)]. 20001 (x * a(y,z,u)) \ (x * u) = a(y,z,u) \ u. [para(20000(a,1),65(a,1,1))]. 20002 ((x * y) * z) \ ((x * (y * z)) * z) = a(x,y,z) \ z. [para(94(a,1),20001(a,1,1))]. 20003 L(x,y,z) = a(z,y,x) \ x. [hyper(1622,a,20002,a)]. 20006 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(73,a,20003,a,b,19045,a),flip(a)]. 20007 a(x,y,z) * L(z,y,x) = z. [para(20003(a,2),14(a,1,2))]. 20010 a(x,y,z) \ T(z,u) = L(z,y,x) * K(z,u). [para(20003(a,2),14083(a,1,1)),flip(a)]. 20012 a(x,y,z) = L(z,y,x) \ z. [para(20003(a,2),16925(a,1,1)),flip(a)]. 20013 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = z \ (L(z,y,x) * u). [para(20003(a,2),16926(a,2,2,1))]. 20014 (x * y) / L(y,z,u) = x * a(u,z,y). [para(20003(a,2),20000(a,1,2))]. 20016 K(x,K(y,z * L(u,w,v5))) = K(x,K(y,z * u)). [para(20007(a,1),18081(a,1,2,2,2)),flip(a)]. 20017 L(T(x,y),z,u) \ T(x,y) = a(T(u,y),z,x). [hyper(240,a,19558,a,b,20012,a),flip(a)]. 20018 a(a(x,y,z),a(u,w,v5),v6) \ 1 = a(a(z,a(u,w,v5),v6),y,x). [hyper(240,a,19634,a(flip),b,20012,a),flip(a)]. 20024 L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). [para(20012(a,2),19453(a,1,1,2))]. 20025 a(x,y,z \ 1) \ 1 = z * L(z \ 1,y,x). [hyper(240,a,4631,a(flip),b,20006,a)]. 20026 (a(x,y,z) \ 1) * u = (z \ L(z,y,x)) * u. [hyper(22,a,20006,a)]. 20027 T(x * (a(y,z,u) \ 1),x) = L(x * (u \ L(u,z,y)),z,K(u,y)). [para(20006(a,1),16830(a,2,1,2))]. 20028 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). [para(20006(a,1),17347(a,1,3,1,2))]. 20031 (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). [para(7179(a,1),20014(a,1,1))]. 20032 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(20010(a,2),7115(a,2,2))]. 20033 a(T(x,y),z,u) = a(x,z,T(u,y)). [hyper(240,a,20012,a,b,20017,a(flip))]. 20034 T(x * (a(y,z,u) \ 1),x) = x * (a(y,z,T(u,x)) \ 1). [para(20033(a,1),19482(a,2,2,1))]. 20035 a(x,y,(z \ u) \ 1) \ 1 = z \ (u * L(u \ z,y,x)). [hyper(240,a,1673,a(flip),b,20025,a)]. 20037 K(x,K(y,z * ((u * w) \ v5))) = K(x,K(y,z * (w \ (u \ v5)))). [para(235(a,1),20016(a,1,2,2,2))]. 20038 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,(x \ (u * T(x,K(y,z)))) \ 1) \ 1. [hyper(240,a,16314,a,b,20035,a),flip(a)]. 20039 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = 1 / a(a(z,a(u,w,v5),v6),y,x). [para(20018(a,1),18025(a,2,2))]. 20040 K(x,K(y,((z * u) * w) * (w \ (z \ v5)))) = K(x,K(y,R(u,z,w) * v5)). [hyper(18494,a,20037,a),flip(a)]. 20041 L(x * (a(y,z,u) \ 1),z,K(u,y)) = L(x * (u \ L(u,z,y)),z,K(u,y)). [hyper(16885,a,20027,a)]. 20042 L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ z) = L(z,y,x) * (z \ u). [hyper(240,a,1299,a(flip),b,20013,a)]. 20043 L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). [para(20012(a,2),20024(a,1,2))]. 20044 (x / y) * L(y,z,u) = x / a(u,z,y). [hyper(240,a,19961,a(flip),b,20043,a(flip))]. 20048 K(x,K(y,(z * u) * (w * (w \ (z \ v5))))) = K(x,K(y,R(u,z,w) * v5)). [hyper(18076,a,20040,a)]. 20049 L(a(x,y,z) \ u,a(x,y,z),L(z,y,x)) = L(z,y,x) * (z \ u). [para(20003(a,2),20042(a,1,3))]. 20050 L(x,y,z) * (x \ u) = a(z,y,x) \ u. [hyper(240,a,19961,a(flip),b,20049,a(flip))]. 20052 a(x,y,a(z,a(u,w,v5),v6)) \ v7 = v7 * a(a(z,a(u,w,v5),v6),x,y). [hyper(240,a,19628,a(flip),b,20050,a(flip))]. 20055 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * K(v8,a(v5,v6,a(x,a(y,z,u),w)))),a(a(x,a(y,z,u),w),v5,v6)). [hyper(10821,a,20052,a),flip(a)]. 20056 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,(u * z) * (u \ v5))). [para(14(a,1),20048(a,1,2,2,2)),flip(a)]. 20057 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,u * (z * (u \ v5)))). [hyper(240,a,18065,a(flip),b,20056,a)]. 20059 K(x,K(y,R(z,u,w) * v5)) = K(x,K(y,v5 * z)). [hyper(240,a,18082,a(flip),b,20057,a)]. 20060 K(x,K(y,z * R(u,w,v5))) = K(x,K(y,z * u)). [hyper(15083,a,20059,a)]. 20062 K(x \ R(y,z,u),T(w,v5)) \ K(w,K(v5,x * y)) = K(w,x \ R(y,z,u)). [para(20060(a,1),15398(a,1,2))]. 20063 K(x \ R(x,y,z),T(u,w)) \ 1 = K(u,x \ R(x,y,z)). [para(14515(a,1),20062(a,1,2))]. 20064 K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). [hyper(7167,a,20063,a)]. 20065 T(K(x,y \ R(y,z,u)),T(x,w)) = T(x,w) \ L(T(x,w),z,K(u,y)). [para(20064(a,1),19922(a,1,1))]. 20066 K(x,y \ R(y,z,u)) = T(x,w) \ L(T(x,w),z,K(u,y)). [hyper(5437,a,20065,a)]. 20068 K(x,y \ R(y,z,u)) = a(T(x,w),z,K(u,y)). [hyper(240,a,16833,a(flip),b,20066,a)]. 20070 K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). [hyper(240,a,19472,a(flip),b,20068,a)]. 20071 ((x \ R(x,y,z)) * u) / (a(w,y,K(z,x)) * u) = T(x \ R(x,y,z),w). [para(20070(a,1),5083(a,1,2,1))]. 20072 a(x,y,K(z,u)) * (((x \ R(x,y,z)) * w) / w) = T(x \ R(x,y,z),u). [hyper(18605,a,20071,a)]. 20073 a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). [para(15(a,1),20072(a,1,2))]. 20074 L(x,y,K(z,u)) \ R(x,y,u) = T(x \ R(x,y,u),z). [hyper(240,a,19246,a(flip),b,20073,a(flip)),flip(a)]. 20075 R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x,y,K(u,z)) \ 1) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). [para(20074(a,1),627(a,1,1))]. 20077 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(20031(a,1),20032(a,1,1))]. 20078 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(16920,a,20077,a)]. 20079 x / (a(y,z,u) \ T(u,w)) = (x / T(u,w)) * a(y,z,u). [hyper(19365,a,20078,a)]. 20080 x / (L(y,z,u) * K(y,w)) = (x / T(y,w)) * a(u,z,y). [para(20010(a,1),20079(a,1,2))]. 20081 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(20080(a,1),19386(a,1,2,2)),flip(a)]. 20082 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,v6 / T(z,v5),v7)). [hyper(240,a,19985,a(flip),b,20081,a)]. 20084 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,T(z,v5) \ v6,v7)). [hyper(240,a,19386,a(flip),b,20082,a)]. 20085 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,z \ v6,v7)). [hyper(240,a,19387,a(flip),b,20084,a)]. 20087 T(x,L(y,L(z,u,w) \ v5,v6)) = T(x,L(y,z \ v5,v6)). [para(136(a,1),20085(a,1,2,2,1))]. 20088 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,L(z,v5,v6) \ T(u,z),w)). [para(3924(a,2),20087(a,2,2,2)),flip(a)]. 20089 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,w,u \ L(z,v5,v6))). [hyper(240,a,19923,a(flip),b,20088,a)]. 20091 T(x,L(y,z,u \ L(w,v5,v6))) = T(x,L(y,w \ u,z)). [hyper(240,a,19387,a(flip),b,20089,a(flip))]. 20092 T(x * K(y,x),L(y,z \ u,w)) = L(x,w,K(u \ L(z,v5,v6),y)). [hyper(16883,a,20091,a),flip(a)]. 20094 L(x,y,K(z \ L(u,w,v5),v6)) = L(x,u \ z,K(y,v6)). [hyper(16883,a,20092,a),flip(a)]. 20095 L(x,y,K((z * u) \ L(z,w,v5),v6)) = L(x,u,K(y,v6)). [para(13(a,1),20094(a,2,2))]. 20096 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,z,K(y,v6)). [hyper(19398,a,20095,a)]. 20097 L(x,y,K(z,a(u,w,v5) * v6)) = L(x,v6,K(y,z)). [hyper(240,a,20028,a(flip),b,20096,a(flip)),flip(a)]. 20099 L(x,y,K(a(z,u,w) * v5,v6)) = L(x,v5,K(v6,y)). [hyper(240,a,19897,a,b,20097,a(flip)),flip(a)]. 20100 L(x,y,K(z * a(u,w,v5),v6)) = L(x,z,K(v6,y)). [para(16226(a,1),20099(a,1,3))]. 20101 a(x * a(y,z,u),w,K(v5,v6)) = v6 \ L(v6,x,K(v5,w)). [hyper(73,a,20100,a(flip),b,16827,a),flip(a)]. 20102 a(x * a(y,z,u),w,K(v5,v6)) = a(v6,x,K(v5,w)). [hyper(240,a,16833,a(flip),b,20101,a)]. 20103 a(a(x,y,z) * u,w,K(v5,v6)) = a(v6,u,K(v5,w)). [hyper(19477,a,20102,a)]. 20104 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(20103(a,1),19329(a,1,2,2))]. 20105 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(240,a,19927,a(flip),b,20104,a(flip)),flip(a)]. 20107 L(a(x,y,z) * u,w,K(v5,v6)) = a(x,y,z) * L(u,w,K(v5,v6)). [hyper(19274,a,20105,a),flip(a)]. 20108 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y) \ 1. [hyper(240,a,18947,a(flip),b,20039,a)]. 20109 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u * K(x,K(y,z)),x) \ 1) \ 1. [para(5921(a,1),20038(a,2,1,3,1))]. 20110 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,K(x,K(y,z)) * (T(u,x) \ 1)) \ 1. [para(16760(a,1),20109(a,2,1,3))]. 20111 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u,x) \ 1) \ 1. [para(17151(a,1),20110(a,2,1))]. 20113 R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),L(x \ 1,y,K(u,z))) = T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))). [para(19249(a,2),20075(a,1,3))]. 20114 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),L(x,y,K(u,z)),x \ 1). [hyper(19293,a,20113,a),flip(a)]. 20116 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = R(T(x \ R(x,y,z),u),x,x \ 1). [hyper(240,a,19289,a(flip),b,20114,a)]. 20118 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(R(x,y,z) * (x \ 1),x),u). [hyper(240,a,733,a(flip),b,20116,a)]. 20119 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(T(x \ R(x,y,z),x),u). [para(1087(a,1),20118(a,2,1,1))]. 20120 T(R(x,y,z) * (L(x,y,K(u,z)) \ 1),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(3657(a,1),20119(a,2,1))]. 20121 T(R(x,y,z) * L(x \ 1,y,K(u,z)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(19249(a,2),20120(a,1,1,2))]. 20122 T(x \ L(R(x,y,z),y,K(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(19072(a,1),20121(a,1,1))]. 20123 T(x \ R(x,y,T(z,u)),L(x,y,K(u,z))) = T(x \ R(x,y,z),u). [para(16894(a,1),20122(a,1,1,2))]. 20124 T(x \ R(x,y,T(z,u)),x) = T(x \ R(x,y,z),u). [hyper(16116,a,20123,a)]. 20125 x \ R(x,y,T(z,u)) = T(x \ R(x,y,z),u). [hyper(3658,a,20124,a)]. 20127 L(T(x \ R(x,y,z),u),x,y * T(z,u)) = a(x,y,T(z,u)). [para(20125(a,1),14526(a,2,1)),flip(a)]. 20128 L(T(x \ R(x,y,z \ 1),u),x,y * (T(z,u) \ 1)) = a(x,y,T(z,u) \ 1). [para(20125(a,1),17364(a,1,1))]. 20129 L(T(x \ R(x,y,z \ 1),u),x,y * T(z \ 1,u)) = a(x,y,T(z,u) \ 1). [hyper(240,a,19623,a(flip),b,20128,a(flip)),flip(a)]. 20130 a(x,y,T(z,u) \ 1) = a(x,y,T(z \ 1,u)). [hyper(240,a,20127,a(flip),b,20129,a(flip))]. 20131 T(x,K(y,z)) \ ((u * x) * L((u * T(x,K(y,z))) \ x,w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. [para(20130(a,1),20111(a,2,1))]. 20132 T(x,K(y,z)) \ ((u * x) * L((u * x) \ T(x,K(y,z)),w,v5)) = a(v5,w,T(u \ 1,x)) \ 1. [para(15132(a,1),20131(a,1,2,2,1))]. 20133 T(x,K(y,z)) \ (u * (x * L(x \ (u \ T(x,K(y,z))),w,v5))) = a(v5,w,T(u \ 1,x)) \ 1. [para(941(a,1),20132(a,1,2))]. 20134 x \ (y * (T(x,K(z,u)) * L(x \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. [hyper(240,a,16312,a(flip),b,20133,a(flip)),flip(a)]. 20135 x \ (y * (x * L(T(x,K(z,u)) \ (y \ T(x,K(z,u))),w,v5))) = a(v5,w,T(y \ 1,x)) \ 1. [para(17430(a,1),20134(a,1,2,2))]. 20136 x \ (y * (x * L(x \ (y \ x),z,u))) = a(u,z,T(y \ 1,x)) \ 1. [para(15127(a,1),20135(a,1,2,2,2,1))]. 20137 x \ ((y * L(y \ 1,z,u)) * x) = a(u,z,T(y \ 1,x)) \ 1. [para(1712(a,1),20136(a,1,2))]. 20138 T(x * L(x \ 1,y,z),u) = a(z,y,T(x \ 1,u)) \ 1. [hyper(254,a,20137,a)]. 20139 L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T((1 / x) \ 1,u)) \ 1. [hyper(3583,a,20138,a)]. 20140 L(T(x \ L((1 / x) \ 1,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. [para(65(a,1),20139(a,2,1,3,1))]. 20141 L(T(x \ L(x,y,z),u),x,x \ 1) = a(z,y,T(x,u)) \ 1. [para(65(a,1),20140(a,1,1,1,2,1))]. 20142 T((1 / x) * L(x,y,z),u) = a(z,y,T(x,u)) \ 1. [hyper(240,a,2711,a(flip),b,20141,a(flip)),flip(a)]. 20143 a(x,y,T(z,u)) \ 1 = T(1 / a(x,y,z),u). [para(20044(a,1),20142(a,1,1)),flip(a)]. 20144 a(x,y,T(z,u)) \ 1 = T(a(x,y,z) \ 1,u). [para(12465(a,1),20143(a,2,1))]. 20145 T(x * (a(y,z,u) \ 1),x) = x * T(a(y,z,u) \ 1,x). [para(20144(a,1),20034(a,2,2))]. 20146 R(x,a(y,z,u) \ 1,x) = x. [hyper(1180,a,20145,a)]. 20147 T(x * (a(y,z,u) \ 1),x) = (a(y,z,u) \ 1) * x. [hyper(240,a,122,a(flip),b,20145,a)]. 20148 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [para(20146(a,1),17452(a,1,2))]. 20150 x / (a(y,z,u) \ 1) = x * a(y,z,u). [para(20148(a,1),62(a,1,2))]. 20152 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(306,a,20150,a),flip(a)]. 20156 L(x * (y \ L(y,z,u)),z,K(y,u)) = L(x / a(u,z,y),z,K(y,u)). [para(20152(a,1),20041(a,1,1)),flip(a)]. 20157 L(x * (y \ L(y,z,u)),z,K(y,u)) = (a(u,z,y) \ 1) * x. [hyper(240,a,20027,a(flip),b,20147,a(flip)),flip(a)]. 20158 L(x * (y \ L(y,z,u)),z,K(y,u)) = a(u,z,y) \ x. [hyper(240,a,16832,a(flip),b,20156,a)]. 20160 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(240,a,20157,a(flip),b,20158,a(flip)),flip(a)]. 20164 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [hyper(240,a,20026,a(flip),b,20160,a(flip)),flip(a)]. 20167 (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(73,a,17249,a,b,20164,a)]. 20168 (x \ L(x,y,z)) \ u = a(z,y,x) * u. [hyper(73,a,13,a(flip),b,20164,a)]. 20171 (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(13530(a,2),20167(a,1,2,1,1))]. 20172 (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(16941(a,1),20171(a,1,2,1))]. 20173 (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(20107(a,2),20172(a,1,2,1))]. 20174 (x \ L(x,y,z)) \ (a(u,w,v5) * v6) = (a(u,w,v5) * a(z,y,x)) * v6. [para(19262(a,1),20173(a,1,2))]. 20175 (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). [hyper(240,a,20168,a(flip),b,20174,a(flip))]. 20177 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(K(a(u,w,v5),a(x,y,z)),(a(x,y,z) * a(u,w,v5)) * v6). [hyper(401,a,20175,a(flip),b,10159,a),flip(a)]. 20180 (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) != v7 | a(a(x,y,z),a(u,w,v5),v6) = v7. [para(20175(a,1),669(a,1,2))]. 20182 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(a(a(u,w,v5),y,K(z,x)),(a(x,y,z) * a(u,w,v5)) * v6). [para(13564(a,2),20177(a,2,1))]. 20183 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = T(1,(a(x,y,z) * a(u,w,v5)) * v6). [para(18915(a,1),20182(a,2,1))]. 20184 ((a(x,y,z) * a(u,w,v5)) * v6) \ (a(x,y,z) * (a(u,w,v5) * v6)) = 1. [hyper(240,a,153,a(flip),b,20183,a)]. 20187 (a(x,y,z) * (a(u,w,v5) * v6)) \ (a(u,w,v5) * (a(x,y,z) * v6)) = 1. [para(20175(a,1),20184(a,1,1))]. 20188 a(a(x,y,z),a(u,w,v5),v6) = 1. [hyper(20180,a,20187,a)]. 20190 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * (a(v5,v6,a(x,a(y,z,u),w)) * 1),a(a(x,a(y,z,u),w),v5,v6)). [para(18919(a,1),20055(a,2,1,2,2))]. 20191 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = T(v7 * a(v5,v6,a(x,a(y,z,u),w)),a(a(x,a(y,z,u),w),v5,v6)). [para(12(a,1),20190(a,2,1,2))]. 20193 a(a(x,a(y,z,u),w),v5,v6) \ T(v7 * K(v8,a(v5,v6,a(x,a(y,z,u),w))),a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [hyper(240,a,18929,a(flip),b,20191,a)]. 20195 a(a(x,a(y,z,u),w),v5,v6) \ T(v7,a(v5,v6,a(x,a(y,z,u),w))) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(136(a,1),20193(a,1,2,1))]. 20196 a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,K(a(x,a(y,z,u),w),v5)) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(16824(a,2),20195(a,1,2))]. 20197 a(a(x,a(y,z,u),w),v5,v6) \ L(v7,v6,1) = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(18019(a,1),20196(a,1,2,3))]. 20198 a(a(x,a(y,z,u),w),v5,v6) \ v7 = v7 * a(v5,v6,a(x,a(y,z,u),w)). [para(324(a,1),20197(a,1,2))]. 20200 a(a(x,y,z),a(u,w,v5),v6) * K(v7,a(a(x,y,z),a(u,w,v5),v6)) = a(x,y,a(z,a(u,w,v5),v6)). [hyper(71,a,20198,a(flip),b,20108,a)]. 20202 a(a(x,y,z),a(u,w,v5),v6) = a(x,y,a(z,a(u,w,v5),v6)). [hyper(18930,a,20200,a),flip(a)]. 20203 a(x,y,a(z,a(u,w,v5),v6)) = 1. [hyper(240,a,20188,a(flip),b,20202,a(flip))]. 20205 L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). [hyper(33,a,20203,a)]. 20206 R(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). [hyper(240,a,18898,a,b,20205,a(flip)),flip(a)]. 20208 a(x,a(y,z,u),w) \ (v5 * (a(x,a(y,z,u),w) * v6)) = v5 * v6. [para(20206(a,1),18866(a,1,1))]. 20209 L((x * y) \ (x * y),x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [para(20208(a,1),18900(a,1,1,2))]. 20211 L(1,x * y,a(z,a(u,w,v5),v6)) = a(a(z,a(u,w,v5),v6),x,y). [para(53(a,1),20209(a,1,1))]. 20213 a(a(x,a(y,z,u),w),v5,v6) = 1. [hyper(333,a,20211,a),flip(a)]. 20214 $F # answer("nil3 25, aa2-Nl"). [resolve(20213,a,48,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=18178. Generated=691775025. Kept=20195. proofs=1. Usable=18178. Sos=2015. Demods=0. Limbo=0, Disabled=31. Hints=25710. Kept_by_rule=0, Deleted_by_rule=690790068. Forward_subsumed=964762. Back_subsumed=1. Sos_limit_deleted=0. Sos_displaced=0. Sos_removed=0. New_demodulators=0 (0 lex), Back_demodulated=0. Back_unit_deleted=0. Demod_attempts=0. Demod_rewrites=0. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=1154122. Nonunit_bsub_feature_tests=536. Megabytes=85.21. User_CPU=7190.29, System_CPU=324.73, Wall_clock=7516. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 14064 exit (max_proofs) ------  Process 14064 exit (max_proofs) Wed Dec 2 23:09:01 2020