% ******************************************************************** % AIM: UFlex => middle Bol % % Extra assumption: % % (((x / u) * (v \ y)) / u) * (v \ x) % = (x / u) * (v \ ((y / u) * (v \ x))) # label("UFlex"). % % Goal: % % x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). % ******************************************************************** 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). % loop axioms 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. % associator (right associated * a = left associated) (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). % commutator ( (x * y) * K(y,x) = y * x ) (x * y) \ (y * x) = K(y,x) # label("commutator"). % inner mappings % L(u,x,y) = u L(x) L(y) L(yx)^{-1} (y * x) \ (y * (x * u)) = L(u,x,y). % R(u,x,y) = u R(x) R(y) R(xy)^{-1} ((u * x) * y) / (x * y) = R(u,x,y). % T(u,x) = u R(x) L(x)^{-1} x \ (u * x) = T(u,x). % abelian inner mapping group 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). % extra assumption for this special case (((x / u) * (v \ y)) / u) * (v \ x) = (x / u) * (v \ ((y / u) * (v \ x))) # label("UFlex"). end_of_list. formulas(goals). x * ((y * z) \ x) = (x / z) * (y \ x) # label("middle Bol"). end_of_list. % ********************* % AIM: Auxiliary Lemmas % ********************* formulas(assumptions). % cancellation laws (long form) x * y != u | x * z != u | y = z # label("*-Cancellation 1"). y * x != u | z * x != u | y = z # label("*-Cancellation 2"). x / y != u | x / z != u | y = z # label("/-Cancellation 1"). y / x != u | z / x != u | y = z # label("/-Cancellation 2"). x \ y != u | x \ z != u | y = z # label("\-Cancellation 1"). y \ x != u | z \ x != u | y = z # label("\-Cancellation 2"). T(x,y) != u | T(z,y) != u | x = z # label("T-Cancellation 1"). L(z,x,y) != u | L(w,x,y) != u | z = w # label("L-Cancellation 1"). R(z,x,y) != u | R(w,x,y) != u | z = w # label("R-Cancellation 1"). % cancellation laws (short form) x * y != x * z | y = z # label("*-Cancellation 3"). y * x != z * x | y = z # label("*-Cancellation 4"). x / y != x / z | y = z # label("/-Cancellation 3"). y / x != z / x | y = z # label("/-Cancellation 4"). x \ y != x \ z | y = z # label("\-Cancellation 3"). y \ x != z \ x | y = z # label("\-Cancellation 4"). T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). L(z,x,y) != L(w,x,y) | z = w # label("L-Cancellation 2"). R(z,x,y) != R(w,x,y) | z = w # label("R-Cancellation 2"). % compatibility a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). T(x,y) != x | T(y,x) = y # label("Compat 3"). T(x,y) != x | K(x,y) = 1 # label("Compat 4"). K(x,y) != 1 | T(x,y) = x # label("Compat 5"). % sometimes helpful for demodulation-free proofs x != y | x * z = y * z # label("Aux 1"). x != y | z * x = z * y # label("Aux 2"). x != y | x / z = y / z # label("Aux 3"). x != y | z / x = z / y # label("Aux 4"). x != y | x \ z = y \ z # label("Aux 5"). x != y | z \ x = z \ y # label("Aux 6"). x != y | y != z | x = z # label("Transitivity ="). end_of_list. % % Hints extracted from previously found proofs. % formulas(hints). x * ((y * z) \ x) = (x / z) * (y \ x). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). a(x,y,z) = (x * (y * z)) \ ((x * y) * z). (x * y) \ (y * x) = K(y,x). K(x,y) = (y * x) \ (x * y). (x * y) \ (x * (y * z)) = L(z,y,x). L(x,y,z) = (z * y) \ (z * (y * x)). ((x * y) * z) / (y * z) = R(x,y,z). R(x,y,z) = ((x * y) * z) / (y * z). x \ (y * x) = T(y,x). T(x,y) = y \ (x * y). T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). L(T(x,y),z,u) = T(L(x,z,u),y). T(R(x,y,z),u) = R(T(x,u),y,z). R(T(x,y),z,u) = T(R(x,z,u),y). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). (((x / y) * (z \ u)) / y) * (z \ x) = (x / y) * (z \ ((u / y) * (z \ x))). x * y != z | x * u != z | y = u. x * y != z | u * y != z | x = u. x / y != z | x / u != z | y = u. x / y != z | u / y != z | x = u. x \ y != z | x \ u != z | y = u. x \ y != z | u \ y != z | x = u. T(x,y) != z | T(u,y) != z | x = u. L(x,y,z) != u | L(w,y,z) != u | x = w. R(x,y,z) != u | R(w,y,z) != u | x = w. x * y != x * z | y = z. x * y != z * y | x = z. x / y != x / z | y = z. x / y != z / y | x = z. x \ y != x \ z | y = z. x \ y != z \ y | x = z. T(x,y) != T(z,y) | x = z. L(x,y,z) != L(u,y,z) | x = u. R(x,y,z) != R(u,y,z) | x = u. a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. x != y | x * z = y * z. x != y | z * x = z * y. x != y | x / z = y / z. x != y | x \ z = y \ z. x != y | z \ x = z \ y. x != y | y != z | x = z. (c1 / c3) * (c2 \ c1) != c1 * ((c2 * c3) \ c1). 1 \ x = x. x \ x = 1. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. 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 * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,y,y \ z) = (x * z) \ ((x * y) * (y \ z)). (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). a(x,y,(x * y) \ z) = (x * (y * ((x * y) \ z))) \ z. (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). (x * y) * L(z,y,x) = x * (y * z). L(x,y \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * y). L(x,y,z / y) = z \ ((z / y) * (y * x)). x \ ((x / y) * (y * z)) = L(z,y,x / y). L(x,y / x,z) = (z * (y / x)) \ (z * y). L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). T(x,1) = 1 \ x. T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. T(T(x,y),z) = y \ (T(x,z) * y). x \ (T(y,z) * x) = T(T(y,x),z). x != y | 1 * z != y | x = z. 1 * x != y | z != y | x = z. x != y | x * z != y | 1 = z. 1 * x != y | x = y. x != y * z | y \ x = z. x * y != z | x \ z = y. x * (x \ (y * z)) != y * u | z = u. x * 1 != y | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x != y / z | x * z = y. x / y != z | z * y = x. R(x,y,z) != u / (y * z) | (x * y) * z = u. x != y \ z | y * x = z. x \ y != z | x * z = y. T(x,y) != y \ z | x * y = z. a(x,y,z) != u \ ((x * y) * z) | x * (y * z) = u. x \ ((y * z) * u) != a(y,z,u) | y * (z * u) = x. (T(x,y) / z) * z != T(u,y) | x = u. T(x,y) != (T(z,y) / u) * u | z = x. T(T(x,y),z) != T(u,y) | T(x,z) = u. R(T(x,y),z,u) != T(w,y) | R(x,z,u) = w. T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. L(R(x,y,z),u,w) != R(v5,y,z) | L(x,u,w) = v5. R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. R(R(x,y,z),u,w) != R(v5,y,z) | R(x,u,w) = v5. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. x * (y * (y \ z)) = x * z. x * (y \ (y * z)) = x * z. ((x / y) * y) / z = x / z. (x * (x \ y)) / z = y / z. ((x * y) / y) \ z = x \ z. (x * (x \ y)) \ z = y \ z. x \ (y * 1) = x \ y. x != y | (x / z) * z = y. (x / y) * y = (x * z) / z. (x * y) / y = (x / z) * z. (x / y) * y = 1 * x. x != y | z * (z \ x) = y. x * (x \ y) = z \ (z * y). x \ (x * y) = z * (z \ y). x * (x \ y) = y * 1. ((1 / x) * x) \ y = y. (x * y) \ (y * x) != z | K(y,x) = z. K(x,x) = 1. x * (y \ y) = x. x / (y * (y \ 1)) = x. ((x * (y \ z)) / 1) * (y \ x) = (x / 1) * (y \ ((z / 1) * (y \ x))). (x / 1) * (y \ ((z / 1) * (y \ x))) = ((x * (y \ z)) / 1) * (y \ x). x / 1 != y | x = y. R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x. T(x,R(x,y,z)) = x. L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x. T(x,L(x,y,z)) = x. T(x,y) != T(T(z,y),u) | T(z,u) = x. T(x,T(x,y)) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). R(x,y,z) = T(R(x,y,z),x). T(R(x,y,z),x) = R(x,y,z). x * K(y,y) = x. ((x * y) * z) / u != R(x,y,z) | y * z = u. x * y = R(z,x,y) \ ((z * x) * y). R(x,y,z) \ ((x * y) * z) = y * z. x / y != ((x / z) * u) / u | z = y. x = (((y / x) * z) / z) \ y. (((x / y) * z) / z) \ x = y. ((x * y) * z) / a(x,y,z) = x * (y * z). (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. x != y / z | x \ y = z. x / y != z | z \ x = y. x / (y / ((z \ x) \ y)) = z. ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. ((x / (y / z)) \ x) * z = y. ((x / (y / z)) \ x) \ y = z. x != y \ z | z / x = y. x \ y != z | y / z = x. 1 \ x != y | T(x,1) = y. T(x,1) = x. T(1,x) = 1. T(x,1) != y | x = y. x * (y \ y) != z | x = z. K(x,T(x,y)) = 1. x * K(y,y) != z | x = z. (x * (x \ 1)) * y != z | y = z. ((1 / x) * x) * y != z | y = z. x * (y * (y \ 1)) != z | x = z. K(x,L(x,y,z)) = 1. R(x,x \ 1,y) = y / ((x \ 1) * y). x != y | x * (z * (z \ 1)) = y. x * (y * (y \ 1)) = z * (z \ x). x * (x \ y) = y * (z * (z \ 1)). L(x \ 1,x,y) = (y * x) \ y. R(1 / x,x,y) = y / (x * y). x * y != z | y * T(x,y) = z. (x \ y) * T(x,x \ y) = y. (x * T(y,x)) * z = (y * x) * z. x * y != ((x * z) / u) * u | z = y. x = T((y * x) / y,y). T((x * y) / x,x) = y. (x * T(y,x)) / x = y. x * (y * (y \ T(z,x))) = z * x. a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,y,T(z,x * y)) = (x * (y * T(z,x * y))) \ (z * (x * y)). (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,y,T(z,y)) = ((x * y) * T(z,y)) / (z * y). ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). 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 != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. L(x,y,z) * x = x * L(x,y,z). x \ y != z | T(y / x,x) = z. T(x / (x / y),x / y) = y. T(x / y,y) = z * (z \ (y \ x)). T(R(x,y,z),y * z) = (y * z) \ ((x * y) * z). (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). L(x \ y,z,u) = T(L(y / x,z,u),x). T(L(x / y,z,u),y) = L(y \ x,z,u). R(x \ y,z,u) = T(R(y / x,z,u),x). T(R(x / y,z,u),y) = R(y \ x,z,u). x \ y != T(z,x) | y / x = z. T(x,y) != y \ z | z / y = x. (x / y) * y != z | x = z. x \ (y * (y \ x)) = 1. x * 1 != y * z | y \ x = z. x * (x \ y) != z | y = z. (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. a(1 / (x * y),x,y) = ((1 / (x * y)) * x) * y. ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). x / T(y,y \ x) = y \ x. T(x,y) = (z * T(T(x,z),y)) / z. (x * T(T(y,x),z)) / x = T(y,z). T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). x != T(y,z) | (z * x) / z = y. T(x,y) != z | (y * z) / y = x. (x * T(T(y,z),x)) / x != T(u,z) | y = u. T(x,y) != (z * T(T(u,y),z)) / z | u = x. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * T(y,x) != z | y * x = z. (x * y) * L(z,y,x) != u | x * (y * z) = u. x \ ((x * y) * L(z,y,x)) = y * z. L(x \ (y \ z),x,y) = (y * x) \ z. x * (y * (y \ z)) = u * (u \ (x * z)). x * (x \ (y * z)) = y * (u * (u \ z)). (R(x,y,z) * (y * z)) / z = x * y. R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * z = ((x * z) / u) * u. ((x * y) / z) * z = ((x / u) * u) * y. x * K(y \ x,y) = (y \ x) * y. (x * y) / T(y * x,K(x,y)) = K(x,y). T(x / y,(x / y) \ x) = y \ x. x != y | z != y | x = z. x * y != (z * (z \ x)) * u | y = u. (x * (x \ y)) * z != y * u | u = z. x / y != z / ((x / u) \ z) | u = y. x = ((y * (y \ z)) / x) \ z. ((x * (x \ y)) / z) \ y = z. (x / y) * y != z / u | x * u = z. x / y != (z / u) * u | z * y = x. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | x = z. x / (y \ x) != z | y = z. (x * T(y,x)) / x != z | y = z. x / T(y,y \ x) != z | y \ x = z. x * (x \ y) != z \ u | z * y = u. x \ y != z * (z \ u) | x * u = y. x \ (x * y) != z | y = z. x * (y * (y \ z)) != u | x * z = u. (x / y) \ x != z | y = z. x \ (y * x) != z | T(y,x) = z. x \ (y * 1) != z | x \ y = z. x / T(y,y \ x) != z \ x | y = z. x \ y != y / T(z,z \ y) | z = x. R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). x != (y * (y \ z)) \ u | z \ u = x. x \ y = L((y \ x) \ 1,y \ x,y). L((x \ y) \ 1,x \ y,x) = y \ x. x / L(y \ 1,y,x) = x * y. L(x \ 1,x,y / x) = y \ (y / x). L(T(x \ 1,y),x,z) = T((z * x) \ z,y). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. x * (y * (y \ 1)) != z * u | z \ x = u. x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. T(T(x,y),z) != u | T(T(x,z),y) = u. (x * R(T(y,x),z,u)) * w = (R(y,z,u) * x) * w. L(x \ T(y,z),x,z) = (z * x) \ (y * z). x * T(T(y,x),z) != u * x | T(y,z) = u. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). T(x / y,y) != z | y \ x = z. T(x,x \ y) != z | (x \ y) \ y = z. (x * T(x \ y,z)) / x = T(y / x,z). (x * T(y,z)) / x = T((x * y) / x,z). T((x * y) / x,z) = (x * T(y,z)) / x. T(x,y) != T(z,u) | x = T((y * z) / y,u). T(x,y) != T(z,u) | T((y * z) / y,u) = x. (x \ y) * x != y * z | K(x \ y,x) = z. x \ ((y \ x) * y) != z | K(y \ x,y) = z. K(x \ y,x) \ ((x \ y) * x) != z | T(y,K(x \ y,x)) = z. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). (x * (x \ y)) * z != u | y * z = u. x * L(y,z \ x,z) = z * ((z \ x) * y). x * L(y,z,x / z) = (x / z) * (z * y). a(x,y * z,L(u,z,y)) = (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)). (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). a(x,y,L(z,y,x)) = (x * (y * L(z,y,x))) \ (x * (y * z)). (x * (y * L(z,y,x))) \ (x * (y * z)) = a(x,y,L(z,y,x)). L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). R(x,y,L(z,y,x)) = (x * (y * z)) / (y * L(z,y,x)). (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). x * (y * 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)) / T(x * y,L(z,y,x)) = L(z,y,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. x != ((1 / y) * y) \ z | z = x. (1 / x) * y = L(x \ y,x,1 / x). L(x \ y,x,1 / x) = (1 / x) * y. x \ (y * z) = L((y \ x) \ z,y \ x,y). L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ y,x,z / x) = z \ ((z / x) * y). L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L((x * y) \ (x * z),u,w) = L(L(y \ z,u,w),y,x). L(L(x \ y,z,u),x,w) = L((w * x) \ (w * y),z,u). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ 1,x,y) != z | (y * x) \ y = z. L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). x * ((1 / y) * y) != z | x = z. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). x * y != z * (u * (u \ 1)) | x \ z = y. (x * y) \ R(x,y,y \ 1) = y \ 1. R(x,y / z,z) * y = (x * (y / z)) * z. L(x,y,R(z,y,x)) = (R(z,y,x) * y) \ ((z * y) * x). (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. x != (y * (y \ z)) / u | z / u = x. x / (y * (z \ x)) = R(z / y,y,z \ x). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,z) \ (x * z) = y * 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(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). R(x,x \ y,z) \ (y * z) = (x \ y) * z. R(x,x \ 1,y) \ y = (x \ 1) * y. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. ((x / y) * y) / z != u | x / z = u. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. (x * y) / L(z,y / z,x) = x * (y / z). x \ (y * L(z,x \ y,x)) = (x \ y) * z. x \ L(y,x \ 1,x) = (x \ 1) * y. L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). R(x,1 / y,y) / y = x * (1 / y). x * ((x \ y) * z) != y * u | u = L(z,x \ y,x). x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. (x * T(y,x)) * z != u | (y * x) * z = u. x * (y \ (y * z)) != u | x * z = u. x \ (y * (x / y)) != z | K(y,x / y) = z. L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). T(1 / (x / y),y / x) = 1 / (x / y). R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. (x * y) / (z * y) != u | R(x / z,z,y) = u. (x \ 1) * y != z \ y | R(x,x \ 1,y) = z. x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. (x \ 1) * y != x \ z | L(y,x \ 1,x) = z. x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x \ 1,x). L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * L(T(T(y,x),z),u,w) = L(T(y,z),u,w) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). x != R(y,z,u) * (z * u) | (y * z) * u = x. (x * y) * z = (y * z) * R(T(x,y * z),y,z). (x * y) * R(T(z,x * y),x,y) = (z * x) * y. x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T((x * y) / (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). x * (y * (y \ z)) != u * w | u \ (x * z) = w. ((x / y) * y) * z != u * w | (x * z) / w = u. T((x * y) / (y * x),z) * (y * x) = (y * x) * T(K(x,y),z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T((x * y) / x,z) != u / x | x * T(y,z) = u. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. T((x * y) / x,z) * x != u | x * T(y,z) = u. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * y) / a(x / z,z,y) = (x / z) * (z * y). x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). x * L(y,z \ x,z) != u | z * ((z \ x) * y) = u. x \ ((y \ x) * (((y \ x) \ x) * z)) = L(z,T(y,y \ x),y \ x). L(x,T(y,y \ z),y \ z) = z \ ((y \ z) * (((y \ z) \ z) * x)). x / ((y \ z) * (z \ x)) = R(y,y \ z,z \ x). R(x,x \ y,y \ z) = z / ((x \ y) * (y \ z)). (x * (x \ y)) / z != u | y / z = u. x / a(y,z,(y * z) \ x) = y * (z * ((y * z) \ x)). T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). L(T(x,y),y,x) != z | T(x,x * y) = z. L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. T(L(x,y,x),y) = T(x,x * y). T((x * y) / x,y * x) = L(y,x,y). T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). x * T(x \ (y * x),z) != u | T(y,z) * x = u. L(x,y \ z,y) * z = y * ((y \ z) * T(x,z)). x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). L(x \ (y * z),u,w) = L(L((y \ x) \ z,u,w),y \ x,y). L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. 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). L(R(x,L(x,y,z) \ u,w),y,z) \ (u * w) = (L(x,y,z) \ u) * w. T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T(R(x \ y,x,z),u) = T(T((y * z) / (x * z),u),x). T(T((x * y) / (z * y),u),z) = T(R(z \ x,z,y),u). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. (x * y) \ (x * z) != u | L(y \ z,y,x) = u. (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. ((x * y) * T(z,y)) / (z * y) != u | R(x,y,T(z,y)) = u. L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. R(x / y,z,u) != w / y | y * R(y \ x,z,u) = w. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. 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 / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). x != T(R(y,z,u),w) | R(T(y,w),z,u) = x. R(T(x,y * z),y,z) = (y * z) \ ((x * y) * z). (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). R((x * y) \ x,y,y \ 1) = L(T(1 * (y \ 1),y),y,x). x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). T((x * (y * z)) \ ((x * y) * u),w) = L(T(L(z,y,x) \ u,w),L(z,y,x),x * y). L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * u),w). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. 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). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). (x * y) \ (z * y) = R(T(z / x,x * y),x,y). R(T(x / y,y * z),y,z) = (y * z) \ (x * z). R(T(x / y,z),y,y \ z) = (y * (y \ z)) \ (x * (y \ z)). (x * (x \ y)) \ (z * (x \ y)) = R(T(z / x,y),x,x \ y). (x * (y * (x * y))) / (x * y) = L(x * y,y,x). (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. (x * ((x \ y) * (y \ z))) \ z = a(x,x \ y,(x * (x \ y)) \ z). a(x,x \ y,(x * (x \ y)) \ z) = (x * ((x \ y) * (y \ z))) \ z. (x * (y * L(y,z,u))) \ ((x * L(y,z,u)) * y) = a(x,L(y,z,u),T(y,L(y,z,u))). (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). L(L(L(x,y,z) \ u,w,v5),L(x,y,z),z * y) = L((z * (y * x)) \ ((z * y) * u),w,v5). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. 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). T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). 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). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. R(T(x \ y,z),x,u) = T(T((y * u) / (x * u),z),x). T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. 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). 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). T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ (T(x,y) * z) = T(x,y) * (x \ z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. x * y != z * (u * (u \ w)) | x \ (z * w) = y. T(x,y) \ (x * z) = x * (T(x,y) \ z). T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). x \ (T(x,y) \ x) = T(x,y) \ 1. (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. 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)) = T(x,z) * (x \ T(y,T(x,z))). T(x,y) * (x \ T(z,T(x,y))) = x \ (z * T(x,y)). T(x,y) * z != x * u | T(x,y) * (x \ z) = u. L(x,y \ T(y,z),y) = y * (T(y,z) \ ((y \ T(y,z)) * x)). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). T(x,y) \ (x \ z) != u | x \ (T(x,y) \ z) = u. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. T(x,y) \ 1 != (T(x,y) \ x) / z | T(x,T(x,y) \ 1) = z. (T(x,y) \ x) / z != T(x,y) \ 1 | T(x,T(x,y) \ 1) = z. (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. R(x,y,z) * (x \ 1) = x \ R(x,y,z). a(R(x,y,z),x \ 1,u) = (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u). (R(x,y,z) * ((x \ 1) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). (x / y) * ((y \ x) * z) != (y \ x) * u | (x / y) * z = u. (x \ y) * z != (y / x) * ((x \ y) * u) | (y / x) * u = z. (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). K(x \ (x / y),x) = y * T(y \ 1,x). x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). L((x * y) / z,u,w) * z = (L(x / (z / y),u,w) * (z / y)) * y. (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (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). T(R(x,y,T(x,y)),z) * (x * y) != u | (x * y) * T(T(x,y),z) = u. (x * y) * T(T(x,y),z) = (T(x,z) * y) * T(x,y). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). (x * (x \ y)) \ z != u | y \ z = u. x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. (x * T(y,z)) * y = (x * y) * T(y,z). x != ((y / z) * z) * u | y * u = x. x * T(y,z) = ((x / y) * T(y,z)) * y. ((x / y) * T(y,z)) * y = x * T(y,z). (x * T(y,z)) / y = (x / y) * T(y,z). T((x / y) * T(y,z),y) = y \ (x * T(y,z)). x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. ((x * y) / x) / T(x,y) = y / x. x * ((x \ y) * T((x \ y) \ 1,z)) = 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 \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),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. x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). x != T(y / z,u) * z | z * T(z \ y,u) = x. x * T(x \ (y * z),u) = (T(y / (x / z),u) * (x / z)) * z. (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. x * T(x \ y,z) = (T(1 / (x / y),z) * (x / y)) * y. (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). 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 * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. (x / y) * T((x / y) \ z,u) = (x * T(x \ (z * y),u)) / y. (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). T(x * L(x \ 1,y,z),x \ u) = (x \ u) \ (u * L(u \ (x \ u),y,z)). ((x \ y) * (y \ x)) * ((x \ y) \ z) = z * L(z \ ((x \ y) \ z),x \ y,x). x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. L((x \ y) \ (x \ (z * (x \ y))),x \ y,x) * y = (x * T(x \ z,y)) * (x \ y). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). 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) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). (x / 1) * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x). x * (y \ ((z / 1) * (y \ x))) = (x * (y \ z)) * (y \ x). x * (y \ (z * (y \ x))) = (x * (y \ z)) * (y \ x). (x * (y \ z)) * (y \ x) = x * (y \ (z * (y \ x))). ((x * y) * (x \ z)) * y = (x * y) * (x \ (z * (x \ (x * y)))). (x * y) * (x \ (z * (x \ (x * y)))) = ((x * y) * (x \ z)) * y. (x * y) * (1 \ x) = x * (1 \ (y * (1 \ x))). x * (1 \ (y * (1 \ x))) = (x * y) * (1 \ x). x * (1 \ (y * (1 \ x))) = (x * y) * x. x * (1 \ (y * x)) = (x * y) * x. x * (y * x) = (x * y) * x. (x * y) * x = x * (y * x). R(x,y,x) = x. L(x,y,x) = x. T(x * y,x) = y * x. x * y != (z * (z \ 1)) * x | 1 = y. 1 = (x \ 1) * x. (x \ 1) * x = 1. (x * (y * x)) * z != (x * y) * x | 1 = z. 1 = a(x,y,x). a(x,y,x) = 1. a(x * y,x,z) = ((x * y) * (x * z)) \ ((x * (y * x)) * z). ((x * y) * (x * z)) \ ((x * (y * x)) * z) = a(x * y,x,z). (x * y) * x != x * z | y * x = z. x * (y * x) != z * x | x * y = z. (x * (y * x)) \ ((x * y) * z) != u | L(x \ z,x,x * y) = u. R(x,y,R(x,z,u)) = x. R(x,y,L(x,z,u)) = x. R(x,y,T(x,z)) = x. L(x,y,z) * (u * x) = (L(x,y,z) * u) * x. (L(x,y,z) * u) * x = L(x,y,z) * (u * x). x != y | R(y,z,y) = x. R(x,y,x) = L(x,z,x). L(x,y,L(x,z,u)) = x. L(x,y,R(x,z,u)) = x. L(T(x,y),z,x) = T(x,y). R(x,y,z) = L(R(x,y,z),u,x). L(R(x,y,z),u,x) = R(x,y,z). L(x,y,z) = L(L(x,y,z),u,x). L(L(x,y,z),u,x) = L(x,y,z). T(x,y) = T(x,x * y). T(x,x * y) = T(x,y). (x * y) / x = x * (y / x). x * a(y,z,y) = x. a(x,y,x) \ z = z. T(x,a(y,z,y)) = x. 1 / x = x \ 1. (x \ 1) \ 1 = x. ((x / (y / z)) \ x) * u != y | z = u. x = 1 / (1 / x). 1 / (1 / x) = x. 1 * x != (y \ 1) * y | 1 = x. 1 = K(x \ 1,x). K(x \ 1,x) = 1. T(x \ 1,x) = x \ 1. (x \ 1) \ 1 != y | x = y. L(x,y / x,y \ 1) = ((y \ 1) * (y / x)) \ 1. x != y | L(y,z,y) = x. L(x \ 1,y,x \ 1) = 1 / x. x \ 1 != y | y \ 1 = x. (1 / x) * (x * y) = L(y,x,x \ 1). x * ((x \ 1) * y) = L(y,1 / x,x). x \ L(y,1 / x,x) = (x \ 1) * y. R(x,y \ 1,y) / y = x * (1 / y). L(x \ 1,y,z) * x = x * L(x \ 1,y,z). R(x,y,x) = (x \ 1) \ 1. R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). (x \ 1) * R(x,y,z) = x \ R(x,y,z). L(x,y,x) = 1 / (1 / x). x \ 1 != y | 1 / x = y. T(x,K(y \ 1,y)) = x. K(x,x \ 1) = 1. x != 1 | a(y,z,y) = x. a(x,y,x) = K(z,z \ 1). K(x,x \ 1) = a(y,z,y). T(x,K(y,y \ 1)) = x. 1 / x = x \ K(y,y \ 1). x \ K(y,y \ 1) = 1 / x. R(x / y,z,y \ x) = x / y. x != x * y | a(z,u,z) = y. x * y != x | a(z,u,z) = y. L(x,y,x) = a(z,u,z) \ x. x != y * a(z,u,z) | y = x. x = a(y,z,y) \ (x * a(u,w,u)). a(x,y,x) \ (z * a(u,w,u)) = z. a(x,y,x) * z = z * a(x,y,x). (x * a(y,z,y)) / x = a(y,z,y). x != y | y * a(z,u,z) = x. (x * y) * a(z,u,z) = T(y * x,y). T(x * y,x) = (y * x) * a(z,u,z). x != y * z | z * T(y,z) = x. x * T(y,x) = T(x * y,x). T(x * y,x) = x * T(y,x). x != (y / z) * z | y = x. x = T(y * (x / y),y). T(x * (y / x),x) = y. x != y * (y \ z) | z = x. x = T((y \ x) * y,y \ x). T((x \ y) * x,x \ y) = y. x = y * (T(x,y) / y). x * (T(y,x) / x) = y. T(x,y) = (y \ x) * y. T(x * y,z) = T(T(y * x,z),y). T(T(x * y,z),x) = T(y * x,z). x * y != T(z,y) | y * x = z. T(x,y) != z * y | y * z = x. T(x * y,y) = T(x,y) * y. T(x * (y * z),x * y) = L(z,y,x) * (x * y). T(x * y,z) != u | T(T(y * x,z),y) = u. T(R(x,y,z) * u,u) = R(T(x,u),y,z) * u. R(x,y,x) = R(x,z,R(x,u,w)). R(x,y,R(x,z,u)) = R(x,w,x). x \ (y * R(x,z,u)) = (x \ y) * R(x,z,u). x \ L(x,y,z) = (x \ 1) * L(x,y,z). (x \ 1) * L(x,y,z) = x \ L(x,y,z). x \ (y * L(x,z,u)) = (x \ y) * L(x,z,u). a(L(x,y,z),u,x) = 1. L(T(x,y),z,L(x,u,w)) = T(x,y). L(x,y,z) = L(L(x,y,z),u,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = L(x,y,z). 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,z) * u) / x = L(x,y,z) * (u / x). L(x,y,z) \ (u * x) = (L(x,y,z) \ u) * x. L(x,y,x) = L(x,z,R(x,u,w)). L(x,y,R(x,z,u)) = L(x,w,x). R(x,y,z) \ x = (R(x,y,z) \ 1) * x. (R(x,y,z) \ 1) * x = R(x,y,z) \ x. x != y | R(x,z,x) = y. R(T(x,x * y),z,T(x,x * y)) = T(x,y). T(x,y) = T(x,x \ y). T(x,x \ y) = T(x,y). T(x * y,x) != z | y * x = z. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). T((x * y) / x,z) = x * (T(y,z) / x). x != T(y,z) | z * (x / z) = y. T(x,y) != z | y * (z / y) = x. (x * y) / x != z | x * (y / x) = z. x \ y = T(y,x) / x. T(x,y) / y = y \ x. x \ y != z | T(y,x) / x = z. T(R(x,y,z),x) != u | R(x,y,z) = u. R(x,y,z) = (x \ R(x,y,z)) * x. (x \ R(x,y,z)) * x = R(x,y,z). T(L(x,y,z),x) != u | L(x,y,z) = u. L(x,y,z) = (x \ L(x,y,z)) * x. (x \ L(x,y,z)) * x = L(x,y,z). T(T(x,y),x) != z | T(x,y) = z. T(x,y) = (x \ T(x,y)) * x. (x \ T(x,y)) * x = T(x,y). T(x,L(x,y,z)) != u | x = u. x = (L(x,y,z) \ x) * L(x,y,z). (L(x,y,z) \ x) * L(x,y,z) = x. (x \ y) \ T(y,x) = x. x * y != T(z / u,u) | x \ (u \ z) = y. (x \ (y / x)) \ (x \ y) = x. T(x \ y,x) = x \ T(y,x). T(x,y) != z * y | y \ x = z. T(x,(y \ x) * y) = x. L(x \ 1,x,x \ y) = T(y,x) \ (x \ y). (T(x,y) * z) / a(y \ x,y,z) = (y \ x) * (y * z). ((x \ y) * z) \ T(y,x) != u | L(z \ x,z,x \ y) = u. ((x \ y) * z) \ (T(y,x) * (x \ z)) = a(x \ y,x,x \ z). (x \ y) \ y = T(x,y). T(x,y) = (x \ y) \ y. x != T(y,T(y,z)) | y = x. x = T(x,x \ T(x,y)). T(x,x \ T(x,y)) = x. T(x / y,(x / y) \ x) != z | y \ x = z. x \ y = T(y / x,y). T(x / y,x) = y \ x. (x \ y) * T(x,y) = y. x / T(y,x) = y \ x. (x \ y) * R(T(x,y),z,u) = R(x,z,u) * (x \ y). (x \ y) * a(z,u,z) = T(y,x) / x. T(x,y) / y = (y \ x) * a(z,u,z). L(T(x,y),z,u) / y = y \ L(x,z,u). R(T(x,y),z,u) / y = y \ R(x,z,u). x / T(x,y) = T(x,y) \ x. x / R(x,y,z) = R(x,y,z) \ x. x / L(x,y,z) = L(x,y,z) \ x. (x \ y) / x = x \ (y / x). T(x,y) / x = x \ T(x,y). (x \ y) * x != z | T(y,x) = z. L(x,y,z) / x = x \ L(x,y,z). R(x,y,z) / x = x \ R(x,y,z). T(x,y) / (x * y) = (x * y) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. T(x \ y,y) = T(x,y) \ y. L(x \ y,z,x \ y) = T(y / x,y). x * ((y \ x) / x) = x / y. (x \ y) / y = y \ (y / x). (x \ (x / y)) \ (y \ x) = x. (x \ y) \ y != z | T(x,y) = z. (x \ ((y \ x) * y)) * x = (y \ x) * y. x != (y \ z) \ z | T(y,z) = x. T(x,y) = y / T(x \ y,y). x / T(y \ x,x) = T(y,x). x != y \ z | T(z,y) / y = x. T(x,y) / y = x / T(y,x). x / L(T(y,x),z,u) = L(y,z,u) \ x. x / (x \ y) = (y / x) \ x. x / (y * x) = (x * y) \ x. x / y = (x * (y / x)) \ x. (x * (y / x)) \ x = x / y. T(x,y) != z | T(x,x * y) = z. L(x \ y,z,y / x) = T(y / x,y). R(x,1 / y,y) != z | (x * (1 / y)) * y = z. (x * (1 / x)) * x = (x \ 1) \ 1. (x * R(y,z,u)) / x != w | R((x * y) / x,z,u) = w. R((x * y) / x,z,u) = x * (R(y,z,u) / x). ((x * L(x \ 1,y,z)) * (x \ u)) / u = u * (L(u \ (x \ u),y,z) / u). x * (1 / x) = K(y,y \ 1). K(x,x \ 1) = y * (1 / y). T(T(x,y),y \ x) = x. T(T(x,y \ x),y) = x. T(x \ y,x \ (y / x)) = y / x. (x * y) / x = T(y,x \ y). T(x,y \ x) = (y * x) / y. T(x,y) != T(z,u \ x) | T(T(x,u),y) = z. T(x,y \ z) != T(z,u) | T(T(z,y),u) = x. x * L(y,z,u) = L(T(y,x \ y),z,u) * x. L(T(x,y \ x),z,u) * y = y * L(x,z,u). T(x,y \ z) != z | T(z,y) = x. T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). x * (y / x) = T(y,x \ y). T(x,y \ x) = y * (x / y). (x * y) / x != z | T(y,x \ y) = z. L(x,T(y,x),z) = (z * T(y,x)) \ (z * T(y * x,x)). (x * T(y,z)) \ (x * T(y * z,z)) = L(z,T(y,z),x). (R(T(x,y),y,z) * y) \ (T(x * y,y) * z) = L(z,y,R(T(x,y),y,z)). L(x,y,y \ T(y,z)) = T(y,z) \ ((y \ T(y,z)) * (y * x)). T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). T(x \ L(x,y,z),x) = x \ L(x,y,z). R(T(x / y,T(z,y)),y,T(y \ z,y)) = T(z,y) \ (x * (y \ T(z,y))). T(x \ (x / y),x) = x \ (y \ x). x * (y / x) = x / (x / y). x / (x / y) = x * (y / x). T(T(x \ (x / y),z),x) = T(x \ (y \ x),z). (a(x,y,z) \ ((x * y) * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). T(x,(y * x) / y) = x. ((x * y) / x) / y = y \ ((x * y) / x). T(x,y \ x) = T(x,x / y). T(x,x / y) = T(x,y \ x). T(x,T(y,x)) = T(x,y). x != T(y * z,y) | z * y = x. x * y = T(y * x,T(y,y * x)). T(x * y,T(x,x * y)) = y * x. L(T(x,y),z,u) = T(L(x,z,u),T(y,x)). T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T(x,(x \ y) * x) = T(x,y). T(x \ y,y) = T(x \ y,T(y,x)). T(x \ y,T(y,x)) = T(x \ y,y). T(x * y,y) = x * ((x * y) / x). T((x * y) * z,(y * z) \ ((x * y) * z)) = (y * z) * R(x,y,z). T(x,y \ x) \ (y * z) != u | L((x / y) \ z,x / y,y) = u. x / (x / y) = x * ((y * (x / y)) \ y). x * ((y * (x / y)) \ y) = x / (x / y). T(x,x / (x * y)) = T(x,x / (y * x)). T(x,x / (y * x)) = T(x,x / (x * y)). x != T(y,y \ z) | T(y,z) = x. T(x,y) = T(x,y / x). T(x,y / x) = T(x,y). x != T(y,y \ z) | (y \ z) \ z = x. (x \ y) \ y = T(x,y / x). T(x,y / x) = (x \ y) \ y. T(x,y) = T(x,y * x). T(x,y * x) = T(x,y). T(x,y) != z | (x \ y) \ y = z. (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). L((x \ y) \ y,z,u) = T(L(x,z,u),y / x). T(L(x,y,z),u / x) = L((x \ u) \ u,y,z). x != R(y,z,y) | y = x. x = L(R(x,y,x),z,x). L(R(x,y,x),z,x) = x. x * (y * T(R(x,z,u),x * y)) = R(x,z,u) * (x * y). L(R(x,y,z),u,w) != v5 | R(L(x,u,w),y,z) = v5. R(L(x,y,x),z,x) = x. x \ ((x * y) * x) = y * R(x,z,x). (x * (y * x)) / x = L(x,z,x) * y. (x * y) / L(x,z,u) = x * (y / L(x,z,u)). (x * y) * L(L(x,z,u),w,v5) != v6 | x * (y * L(L(x,z,u),w,v5)) = v6. x != y * K(z,z \ 1) | K(z,z \ 1) * y = x. x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,v5,v6)). x \ y != z | T(y / x,y) = z. T(x,x \ y) != z | T(x,y) = z. T(x,y) != z | (y \ x) * y = z. T(x * (y * z),x * y) != u | L(z,y,x) * (x * y) = u. T(L(x,y \ 1,y),y) != z | ((y \ 1) * x) * y = z. a(x,y,x) * z = z * a(u,w,u). x != a(y,z,y) \ u | x * a(w,v5,w) = u. a(x,y,x) \ z != u | u * a(w,v5,w) = z. (x \ T(x * y,z)) * x = T(y * x,z). T(T(L(x,y \ 1,y),z),y) = T(((y \ 1) * x) * y,z). x / T(y * x,z) = T(x * y,z) \ x. T(x \ T(x * y,z),x) = x \ T(y * x,z). (L(x,y,z) * u) / T(x,w) = L(x,y,z) * (u / T(x,w)). L(x,y,z) / x != u | x \ L(x,y,z) = u. R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). x != (y * z) \ y | y / (z * y) = x. x / (y * x) = T(x,y) / (x * y). T(x,y) / (x * y) = x / (y * x). x \ y != L(y,z,y) | a(u,w,u) = x. a(x,y,x) = L(z,u,z) \ z. T(x * y,T(x,y)) = y * x. T(x * y,y) != z | T(x,y) * y = z. T(x,y) * y = x * ((x * y) / x). (x \ 1) * T((x \ 1) \ y,y) = x \ (x * ((x * y) / x)). x \ (x * ((x * y) / x)) = (x \ 1) * T((x \ 1) \ y,y). T(x * y,y) \ x = x / (x * y). T(x,y) = T(y,x) \ (y * x). T(x,y) \ (x * y) = T(y,x). T(x,y) * T(y,x) = x * y. T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. x * (T(x,y) \ y) = T(y,x). T(x,x \ y) \ y = T(x \ y,x). T(x,y) * (x \ T(y,x)) = y. a(x,T(y,z),T(z,y)) = (x * (y * z)) \ ((x * T(y,z)) * T(z,y)). (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). R(x,T(y,z),T(z,y)) = ((x * T(y,z)) * T(z,y)) / (y * z). ((x * T(y,z)) * T(z,y)) / (y * z) = R(x,T(y,z),T(z,y)). x * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). x != T(y,z) | T(y,T(z,y)) = x. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). x * T(x \ y,y) = T(y,x). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). x != y \ T(z,y) | T(y \ z,y) = x. T(x \ y,x) = T(x,y) \ y. T((x * y) \ x,x * y) = (y * x) \ x. x \ (T(x,y) * y) = (x * y) / x. T(T(x,y) * y,x) = x * y. (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). x * y != y * z | (y \ x) * y = z. x * y != z * x | (x \ z) * x = y. (x \ 1) * (x * y) = L(y,x,x \ 1). T(x * (1 / y),y) = y \ R(x,y \ 1,y). x \ R(y,x \ 1,x) = T(y * (1 / x),x). x != y * a(z,u,z) | a(w,v5,w) * y = x. a(x,y,x) * (z * u) = T(u * z,u). T(x * y,x) = a(z,u,z) * (y * x). T(x * y,x) / x = y * a(z,u,z). T(x * y,x) = y * R(x,z,x). x * R(y,z,y) = T(y * x,y). x != T(y * z,y) | (z * y) * a(u,w,u) = x. (x * y) * a(z,u,z) = x * R(y,w,y). (x \ 1) * y = L(x \ y,x,x \ 1). L(x \ y,x,x \ 1) = (x \ 1) * y. x != L(L(y,z,u),w,y) | L(y,z,u) = x. L(x \ 1,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). x != L(T(y,z),u,y) | T(y,z) = x. T(x \ 1,y) = (x \ 1) * (x * T(x \ 1,y)). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). L(x,y,y \ 1) / (y * x) = y \ 1. (x \ 1) \ L(y,x,x \ 1) = x * y. a(x \ 1,x,y) = L(y,x,x \ 1) \ (((x \ 1) * x) * y). L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). L(x,y * z,y \ 1) = L(z,y,y \ 1) \ ((y \ 1) * ((y * z) * x)). L(x,y,y \ 1) \ ((y \ 1) * ((y * x) * z)) = L(z,y * x,y \ 1). (x \ 1) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (y \ 1) * (x * y). L(x,y,y \ 1) \ ((y \ 1) * (y * (x * z))) = L(L(z,x,y),y * x,y \ 1). T(x * y,x) != z | y * R(x,u,x) = z. x * R(y,z,y) = a(u,w,u) * (x * y). a(x,y,x) * (z * u) = z * R(u,w,u). x * y != T(z * x,z) | R(z,u,z) = y. R(x,y,x) = a(z,u,z) * x. L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. (x \ 1) * (x * y) != z | L(y,x,x \ 1) = z. (x \ 1) \ L(L(y,x,x \ 1),z,u) = x * L(y,z,u). ((x \ 1) * L((x \ 1) \ 1,y,z)) * (x * u) = L(u,x,x \ 1) * L(L(u,x,x \ 1) \ ((x \ 1) \ L(u,x,x \ 1)),y,z). L(x,y,y \ 1) * L(L(x,y,y \ 1) \ ((y \ 1) \ L(x,y,y \ 1)),z,u) = ((y \ 1) * L((y \ 1) \ 1,z,u)) * (y * x). (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) != w | a(x \ 1,R(x,y,z),u) = w. ((x \ 1) * (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u) != w | a(x \ 1,L(x,y,z),u) = w. (1 / x) * L(x,y,z) = x \ L(x,y,z). L(x,y,z) \ L(x,u,w) = (L(x,y,z) \ 1) * L(x,u,w). (L(x,y,z) \ 1) * L(x,u,w) = L(x,y,z) \ L(x,u,w). L(x,y,L(y,z,u) \ 1) = (L(y,z,u) \ y) \ ((L(y,z,u) \ 1) * (y * x)). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * (x * u)) = L(u,x,L(x,y,z) \ 1). L(x \ y,x,L(x,z,u) \ 1) = (L(x,z,u) \ x) \ ((L(x,z,u) \ 1) * y). (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * u) = L(x \ u,x,L(x,y,z) \ 1). (x * (L(y,z,u) \ y)) \ ((x * (L(y,z,u) \ 1)) * y) != w | a(x,L(y,z,u) \ 1,y) = w. x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). T(x * (y / x),z) = x * (T(y,z) / 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. L(x \ y,z,u) / y = y \ L(y / x,z,u). R((x \ y) * x,z,u) / x = x \ R(y,z,u). K(x \ y,x) * y = (x \ y) * x. K(x \ y,x) \ ((x \ y) * x) = y. T(x,K(y \ x,y)) = x. T(x * y,K(y,x)) = x * y. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). x / ((y \ x) * y) = K(y,y \ x). K(x,y) * (y * x) = x * y. K(x,y) * (y * x) != z | x * y = z. T(K(x,y),z) * (y * x) = (y * x) * T(K(x,y),z). x * y != z * (y * x) | K(x,y) = z. x * (y * z) != z * y | K(z,y) = x. K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). x / T(x,y) = K(y,y \ x). K(x,x \ y) = y / T(y,x). T(x,y) / L(x,z,u) = L(x,z,u) \ T(x,y). x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. x / L((y \ x) \ x,z,u) = L(y,z,u) \ x. x / L(y \ x,z,u) = L(x / y,z,u) \ x. x / L(y,z,u) = L(T(y,x \ y),z,u) \ x. L(T(x,y \ x),z,u) \ y = y / L(x,z,u). x * (((y * x) / y) / x) = (y * x) / y. x != L(T(y,z),u,w) | T(L(y,u,w),z) = x. T(L(x,y,z),u) = T(L(x,y,z),T(u,x)). T(L(x,y,z),T(u,x)) = T(L(x,y,z),u). x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. x / T(y,z) = T(x * (y / x),z) \ x. T(x * (y / x),z) \ x = x / T(y,z). x * a(y,z,y) = (x / u) * R(u,w,u). (x / y) * R(y,z,y) = x * a(u,w,u). (x * y) * a(z,u,z) = x * (a(w,v5,w) * y). a(x,y,x) * (z * u) = z * (a(w,v5,w) * u). x \ T(x * (y / x),z) = T(y,z) / x. T(x * (1 / x),y) = x * (1 / x). x * (y * (T(z,x) / y)) = (y * (z / y)) * x. x \ T(x * (y / x),z) != u | T(y,z) / x = u. T(x * (1 / x),y) != z * (1 / x) | x = z. T(x,y) * T(L(y,z,u),x) = L(y,z,u) * T(x,y). T((x \ y) * x,z) / x = x \ T(y,z). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. T((x \ y) * x,z) / x != u | x \ T(y,z) = u. T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. T(x / (x / y),z) \ x = x / T(y,z). L(T(x,y) / z,z,y) = (y * z) \ ((z * (x / z)) * y). (x * y) \ ((y * (z / y)) * x) = L(T(z,x) / y,y,x). (T(x / y,z) \ x) \ x = T(y \ x,z). x = T(y / (y / x),x \ y). T(x / (x / y),y \ x) = y. x / (x / T(y,z)) = T(x / (x / y),z). T(x / (x / y),z) = x / (x / T(y,z)). x != T(y,x \ z) | z / (z / x) = y. T(x,y \ z) != y | z / (z / y) = x. (T(x,y) \ z) \ z = T((x \ z) \ z,y). T((x \ y) \ y,z) = (T(x,z) \ y) \ y. T(x / (x / (y / z)),z) = x / (x / (z \ y)). T(x / (x / y),z) \ x != u | x / T(y,z) = u. T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. L(x \ 1,x,x \ (y / x)) = (x \ y) \ (x \ (y / x)). T(x,y) / ((y \ 1) * (x * y)) = L(T(x,y),y,y \ 1) \ T(x,y). L(T(x,y),y,y \ 1) \ T(x,y) = T(x,y) / ((y \ 1) * (x * y)). (x * L(y,z,u)) * y = L(y,z,u) * (T(x,L(y,z,u)) * y). L(x,y,z) * (T(u,L(x,y,z)) * x) = (u * L(x,y,z)) * x. (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). x * y != z | (x \ 1) \ L(y,x,x \ 1) = z. (L(x \ 1,y,z) \ 1) \ L(x,L(x \ 1,y,z),L(x \ 1,y,z) \ 1) = x * L(x \ 1,y,z). x \ (y * (z * x)) = (x \ (y * z)) * L(x,z,y). (x \ (y * z)) * L(x,z,y) = x \ (y * (z * x)). R(x * (y / x),z,u) = x * (R(y,z,u) / x). (x * y) / L(y,z,u) = y * (T(x,y) / L(y,z,u)). x * (T(y,x) / L(x,z,u)) = (y * x) / L(x,z,u). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). (x \ 1) * T(y,x \ y) != z | L(y / x,x,x \ 1) = z. (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(x * (y / x),z,u)) * x = L(y,z,u). x * (L(y,z,u) / x) != w | L(x * (y / x),z,u) = w. (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. x / y != z \ x | T(z,z \ x) = y. T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). (L(x,y,z) \ u) \ u = L((x \ u) \ u,y,z). L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. x / T(L(y,z,u),x / y) = L(y,z,u) \ x. x / (x / L(y \ x,z,u)) = L(x / y,z,u). (x \ y) / ((x * z) \ y) = L((x \ y) / z,z,x) \ (x \ y). L((x \ y) / z,z,x) \ (x \ y) = (x \ y) / ((x * z) \ y). (x * y) * a(z,u,z) = x * (y * a(w,v5,w)). x \ (a(y,z,y) * u) = a(w,v5,w) * (x \ u). x \ a(y,z,y) = a(u,w,u) * (x \ 1). a(x,y,x) \ (z * u) = z * (a(w,v5,w) \ u). a(x,y,x) * (z * u) = z * (u * a(w,v5,w)). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). (x * (y / (y / (x \ z)))) / x = y / (y / (z / x)). x * (((x \ y) \ z) \ z) = (((y / x) \ z) \ z) * x. (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). ((x * y) / x) * (y \ x) = T(x,y). T(x,y) = ((x * y) / x) * (y \ x). T(x,y) / (y \ x) = (x * y) / x. T(x,x / y) / y = (x * (x / y)) / x. x / y != (z * (u / y)) / z | y * ((z * (y \ u)) / z) = x. x * ((y * (x \ y)) / y) = T(y,y / x). T(x,y \ x) / y = (x * (x / y)) / x. (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). (x \ L(x * y,z,u)) * x = L(y * x,z,u). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). L(x,y,z) = (L(x,y,z) \ L(x,u,w)) \ L(x,u,w). (L(x,y,z) \ L(x,u,w)) \ L(x,u,w) = L(x,y,z). x \ y != y / T(z,u) | T(y / (y / z),u) = x. T(x / (x / L(y,z,u)),x / y) = L(y,z,u). x / (x / L(y,z,u)) = L(x / (x / y),z,u). L(x / (x / y),z,u) = x / (x / L(y,z,u)). R(x,y,a(z,u,z)) = x. L(a(x,y,x),z,u) = a(w,v5,w). R(R(x,y,z),y * z,u) != w | (((x * y) * z) * u) / ((y * z) * u) = w. (((x * y) * z) * a(u,w,u)) / ((y * z) * a(u,w,u)) = R(x,y,z). R(x,y,K(z,z \ 1)) = x. x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1). (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). ((x \ 1) * (x * y)) * x = L(y * x,1 / x,x). (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. 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 \ K(z,z \ 1) | 1 / y = x. 1 / x = (x \ 1) * K(y,y \ 1). (x \ 1) * K(y,y \ 1) = 1 / x. K(x,x \ 1) * (y \ 1) = 1 / y. (1 / x) / L(y,(x \ 1) / y,K(z,z \ 1)) = K(z,z \ 1) * ((x \ 1) / y). L(x,y,((z \ 1) * (z / x)) \ 1) = x. R(L(x,y,z),u,w) != v5 | L(R(x,u,w),y,z) = v5. L(R(x,y,z),u,x) = L(R(x,y,z),w,R(x,v5,v6)). L(R(x,y,z),u,R(x,w,v5)) = L(R(x,y,z),v6,x). (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. x != L(y,1 / z,z) | z * ((z \ 1) * y) = x. x * ((x \ 1) * (y * x)) = ((x \ 1) * (x * y)) * x. ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). a(x,y,x) = L(R(z,u,w),v5,z) \ R(z,u,w). T(x,y) * T(R(y,z,u),x) = R(y,z,u) * T(x,y). T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). (x \ 1) \ L(x \ 1,y,z) != u | x * L(x \ 1,y,z) = u. a(x,y * K(z \ 1,z),u) = (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u). (x * ((y * K(z \ 1,z)) * u)) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). K(x,x \ 1) * (y * z) = y * (z * K(x,x \ 1)). L(K(x,x \ 1),y,z) = K(x,x \ 1). (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). K(x,x \ 1) * (y * (z \ 1)) = y * (1 / z). x * K(y,y \ 1) = z * (1 / (1 / (z \ x))). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). T(L(T(x,y),z \ 1,z),z) = T(((z \ 1) * x) * z,y). (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). T(x,L(x,y,z) \ u) = T(x,x \ u). T(x,y) = T(x,L(x,z,u) \ y). T(x,L(x,y,z) \ u) = T(x,u). T(x,L(x,y,z) \ u) != w | T(x,u) = w. T(x,x * (L(x,y,z) \ u)) = T(x,u). T(x,x * y) = T(x,L(x,z,u) * y). T(x,L(x,y,z) * u) = T(x,x * u). x \ T(y,y / (x * y)) = y * ((x \ y) / y). ((x \ 1) * T(y,z)) * x = T(((x \ 1) * y) * x,z). T(((x \ 1) * y) * x,z) = ((x \ 1) * T(y,z)) * x. x != (y * T(z,y)) * u | (z * y) * u = x. (x * (y \ 1)) * y = T(((y \ 1) * x) * y,y \ 1). T(((x \ 1) * y) * x,x \ 1) = (y * (x \ 1)) * x. T(x * y,y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). T(x * y,y \ 1) / y = ((y \ 1) \ x) * (y \ 1). T(x,y \ 1) / y = ((y \ 1) \ (x / y)) * (y \ 1). ((x \ 1) \ (y / x)) * (x \ 1) = T(y,x \ 1) / x. x * (y * R(T(x,x * y),z,u)) = R(x,z,u) * (x * y). x != y * T(y \ z,z) | T(z,y) = x. T(x,y \ 1) = y \ (y * ((y * x) / y)). x \ (x * ((x * y) / x)) = T(y,x \ 1). (x * y) / x = T(y,x \ 1). T(x,y \ 1) = (y * x) / y. x != (y * z) / y | T(z,y \ z) = x. T(x,y \ x) = T(x,y \ 1). T(x,y \ 1) = T(x,y \ x). x != (y * z) / y | y * (z / y) = x. x * (y / x) = T(y,x \ 1). T(x,y \ 1) = y * (x / y). x != (y * T(z,y)) / y | z = x. x = T(T(x,y),y \ 1). T(T(x,y),y \ 1) = x. x / y = T(y \ x,y \ 1). T(x \ y,x \ 1) = y / x. x = T(T(x,y \ 1),y). T(T(x,y \ 1),y) = x. T(x,y \ 1) * y = y * x. (x \ 1) * y = T(y * (x \ 1),x). T(x * (y \ 1),y) = (y \ 1) * x. x / (y \ 1) = T((y \ 1) \ x,y). T((x \ 1) \ y,x) = y / (x \ 1). (x \ 1) * y = T(y,x) * (x \ 1). T(x,y) * (y \ 1) = (y \ 1) * x. x != T(y,z) | T(x,z \ 1) = y. T(x,y) != z | T(z,y \ 1) = x. T(x * y,y \ 1) = y * x. x / (y \ 1) = (y \ 1) \ T(x,y). (x \ 1) \ T(y,x) = y / (x \ 1). T(x \ y,y \ 1) = y / x. T(x,(y \ 1) \ 1) = T(x,y). (x * y) / x != z | T(y,x \ 1) = z. x / y = y \ T(x,y \ 1). x \ T(y,x \ 1) = y / x. x / y = T(y,x \ 1) \ x. T(x,y \ 1) \ y = y / x. x != T(y,z) | T(y,y \ z) = x. T(x,x \ (y \ x)) = T(x,y \ 1). x != y | (z / y) \ z = x. (x / T(y,z \ y)) \ x = T(y,z \ 1). (x \ 1) * T(y,x \ y) = y * (x \ 1). (x \ (y \ x)) * T(x,y \ 1) = y \ x. x != y * (z / y) | y / (y / z) = x. x / (x / y) = T(y,x \ 1). T(x,y \ 1) = y / (y / x). T((x * y) * z,(y * z) \ 1) = (y * z) * R(x,y,z). (x \ 1) * (y / x) = (x \ y) * (x \ 1). (x \ 1) * L(y / x,z,u) = L(x \ y,z,u) * (x \ 1). L(x \ y,z,u) * (x \ 1) = (x \ 1) * L(y / x,z,u). T((x \ 1) \ (x \ y),x \ 1) = (x \ 1) \ (y / x). a(T(x,(y * z) \ 1),y,z) = ((y * z) * x) \ ((T(x,(y * z) \ 1) * y) * z). ((x * y) * z) \ ((T(z,(x * y) \ 1) * x) * y) = a(T(z,(x * y) \ 1),x,y). T(x \ 1,x * y) = T(x \ 1,y * x). T(x \ 1,y * x) = T(x \ 1,x * y). T((x * y) \ x,z) != u | L(T(y \ 1,z),y,x) = u. L(T(x \ 1,y \ 1),x,y) = y / (y * x). (x \ 1) * (x / y) = (y \ x) * (x \ 1). T(x,y \ 1) = T(x,1 / y). T(x,1 / y) = T(x,y \ 1). T(x,R(y,z,y)) = T(x,y). x != T(y / z,z) | z \ y = x. x \ y = T(y / x,R(x,z,x)). T(x / y,R(y,z,y)) = y \ x. T(x,L(y,z,y)) = T(x,y). x * T(y,L(x,z,x)) = y * x. T(x,a(y,z,y) \ u) = T(x,u). T(x,T(y / z,y)) = T(x,z \ y). x != y / z | y * ((z \ y) / y) = x. x * ((y \ x) / x) = y \ T(x,y \ 1). x \ T(y,x \ 1) = y * ((x \ y) / y). x \ ((x \ 1) \ (y * (x \ 1))) = y / x. (1 / x) * T(y,x \ 1) = y * (1 / x). R(x,y,x) * (x \ z) = (z / x) * R(x,y,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,y) = T(x,y * a(z,u,z)). T(x,y * a(z,u,z)) = T(x,y). T(x,y * (a(z,u,z) \ w)) = T(x,y * w). T(x,T(y * z,y)) = T(x,z * y). T(x,T(y,z) / z) = T(x,z \ y). T(x * ((y * (z \ 1)) / x),z) = x * (((z \ 1) * y) / x). T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,T(y,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = T(x,T(z,y)). T(x,y \ x) != z | T(x,y \ 1) = z. x != y \ (z * y) | T(z,y) = x. T(x,y) = ((x * y) \ (y \ (x * y))) * T(x * y,y \ 1). ((x * y) \ (y \ (x * y))) * T(x * y,y \ 1) = T(x,y). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x \ 1) * (x \ L(x * (y / x),z,u)) = (x \ L(y,z,u)) * (x \ 1). x * ((y \ 1) * (y / z)) = x * ((z \ y) * (y \ 1)). R(x,x \ y,y \ 1) = 1 / ((y \ 1) * (y / x)). L(x,y / x,y \ 1) = ((x \ y) * (y \ 1)) \ 1. x \ y != z * ((x \ z) / z) | T(z,z / (x * z)) = y. T(x,x / (y * x)) = T(x,y \ 1). T(x,x / (y * x)) != z | T(x,x / (x * y)) = z. T(x,x / (x * y)) = T(x,y \ 1). T(x,y * L(z,u,z)) = T(x,y * z). T(x,y * T(z / u,z)) = T(x,y * (u \ z)). x != (y / z) * R(z,u,z) | y * a(w,v5,w) = x. x * a(y,z,y) = R(u,w,u) * (u \ x). R(x,y,x) * (x \ z) = z * a(u,w,u). R(x,y,x) * z = (x * z) * a(u,w,u). x * y != (x * z) * a(u,w,u) | a(v5,v6,v5) * z = y. a(x,y,x) * z = u \ (R(u,w,u) * z). x \ (R(x,y,x) * z) = a(u,w,u) * z. (R(x,y,x) * z) / (x * z) = a(u,w,u). a(x,y,x) = (R(z,u,z) * w) / (z * w). x \ y = a(z,u,z) * (R(x,w,x) \ y). a(x,y,x) * (R(z,u,z) \ w) = z \ w. a(x,y,x) = (R(R(z,u,w),v5,R(z,u,w)) * (u * w)) / ((z * u) * w). R(a(x,y,x),z * u,w) = ((R(z,v5,z) * u) * w) / ((z * u) * w). x != 1 / y | y \ 1 = x. ((x \ 1) * (x / y)) \ 1 = R(y,y \ x,x \ 1). R(x,x \ y,y \ 1) = ((y \ 1) * (y / x)) \ 1. x != ((y \ 1) * (y / z)) \ 1 | L(z,y / z,y \ 1) = x. L(x,y / x,y \ 1) = R(x,x \ y,y \ 1). R(x,x \ y,y \ 1) = L(x,y / x,y \ 1). ((((x \ 1) * (x / y)) \ 1) \ 1) * y = R(y,y \ x,x \ 1) \ y. R(x,x \ y,y \ 1) \ x = ((((y \ 1) * (y / x)) \ 1) \ 1) * x. L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). L(x / y,y,y \ 1) = x * (y \ 1). L(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = L(x,y,y \ 1). L(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x,y,y \ 1) = L(x,y,y \ 1). L(x,y,y \ 1) / (y \ 1) = x * y. (x * 1) \ L(x,y,y \ 1) = a(x,y,y \ 1). (1 * (x \ (y * x))) * (x \ 1) = 1 * (x \ L(y,x,x \ 1)). L(x \ 1,y,z) \ L(u,x,x \ 1) = (L(x \ 1,y,z) \ (u * x)) * (x \ 1). (L(x \ 1,y,z) \ (u * x)) * (x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). x != L(y,z,z \ 1) | (z \ 1) * (z * y) = x. (x \ 1) * (x * y) = R(y,x,x \ 1). (x * y) * (y \ 1) != z | L(x,y,y \ 1) = z. x \ L(x,y,y \ 1) = a(x,y,y \ 1). x * a(x,y,y \ 1) = L(x,y,y \ 1). L(x \ y,z,u) \ L(((x \ 1) * x) \ ((x \ 1) * y),z,u) = a(L(x \ y,z,u),x,x \ 1). x != L(y,z,z \ 1) | R(y,z,z \ 1) = x. R(x,y,y \ 1) = x * a(x,y,y \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x \ L(x,y,y \ 1) != z | a(x,y,y \ 1) = z. x \ (y * L(y \ x,z,z \ 1)) != u | L(a(y \ x,z,z \ 1),y \ x,y) = u. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. x * T(x \ y,z) = T(y * (x \ 1),z) / (x \ 1). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). (x \ 1) \ T(y,z) = x * T(x \ ((x \ 1) \ y),z). x * T(x \ ((x \ 1) \ y),z) = (x \ 1) \ T(y,z). 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). 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. R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. x * ((((y \ 1) * (y / x)) \ 1) \ 1) = R(x,x \ y,y \ 1) \ x. R(x,x \ y,y \ 1) \ x = x * ((((y \ 1) * (y / x)) \ 1) \ 1). (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). T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u). R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). ((x * y) \ T(x,y)) * T(x * y,y \ 1) = T(x,y). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. (x * L(y,z,u)) * y != L(y,z,u) * w | T(x,L(y,z,u)) * y = w. L(x,y,z) * u != (w * L(x,y,z)) * x | T(w,L(x,y,z)) * x = u. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). (1 * T(x,y)) * (y \ 1) = 1 * (y \ L(x,y,y \ 1)). 1 * (x \ L(y,x,x \ 1)) = (1 * T(y,x)) * (x \ 1). 1 * (x \ L(y,x,x \ 1)) = T(y,x) * (x \ 1). x != T(y,z) * (z \ 1) | z \ L(y,z,z \ 1) = x. x \ L(y,x,x \ 1) = (x \ 1) * y. L(x,y \ 1,y) = L(x,y,y \ 1). x * y = L((x \ 1) \ y,x,x \ 1). L((x \ 1) \ y,x,x \ 1) = x * y. x * ((x \ 1) * y) = L(y,x,x \ 1). x * ((x \ 1) * y) != z | L(y,x,x \ 1) = z. x \ (((x \ 1) * x) \ y) = (x \ 1) * (x \ ((x \ 1) \ y)). (x \ 1) * (x \ ((x \ 1) \ y)) = x \ (((x \ 1) * x) \ y). T(L(x,y,y \ 1),y) = ((y \ 1) * x) * y. T((x \ 1) * y,x \ 1) = L(y,x,x \ 1) / x. x \ L(y,x,x \ 1) != z | (x \ 1) * y = z. L(x * y,z,u) = L(L((x \ 1) \ y,z,u),x,x \ 1). L(L((x \ 1) \ y,z,u),x,x \ 1) = L(x * y,z,u). L(x * (y \ z),x \ 1,y) = L((y * (x \ 1)) \ z,x,x \ 1). L((x * (y \ 1)) \ z,y,y \ 1) = L(y * (x \ z),y \ 1,x). (x \ 1) \ (x * y) = x * ((x \ 1) \ y). L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. L(x,y,y \ 1) \ (1 * x) = a(y,y \ 1,x). L(x,y,y \ 1) \ (1 * x) != z | a(y,y \ 1,x) = z. T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. L(T(x,y),y,y \ 1) = ((y \ 1) * x) * y. L(T(x,y),y,y \ 1) != z | (y \ 1) * (x * y) = z. (x \ 1) * (y * x) = ((x \ 1) * y) * x. ((x \ 1) * y) * x = (x \ 1) * (y * x). R(x \ 1,y,x) = x \ 1. L(x,y,x \ 1) = x. ((x \ 1) * T(y,z)) * x != u | T(((x \ 1) * y) * x,z) = u. T(((x \ 1) * y) * x,z) = (x \ 1) * (T(y,z) * x). L(x,y,L(x,z,u) \ 1) = x. L(x,y,z) = L(L(x,y,z),u,x \ 1). L(L(x,y,z),u,x \ 1) = L(x,y,z). (x * (y \ 1)) * L(y,z,u) = (y \ 1) * (T(x,y \ 1) * L(y,z,u)). (x \ 1) * (T(y,x \ 1) * L(x,z,u)) = (y * (x \ 1)) * L(x,z,u). L(x \ 1,y,x) = x \ 1. L(x \ 1,y,z) * (u * x) = (L(x \ 1,y,z) * u) * x. (L(x \ 1,y,z) * u) * x = L(x \ 1,y,z) * (u * x). L(T(x \ 1,y),z,x) = T(x \ 1,y). L(x \ 1,y,z) = L(L(x \ 1,y,z),u,x). L(L(x \ 1,y,z),u,x) = L(x \ 1,y,z). (x * y) * (x \ 1) = x * (y * (x \ 1)). (x * y) * (x \ 1) != z | x * (y * (x \ 1)) = z. (L(x,y,z) \ 1) * (u * T(x,(L(x,y,z) \ 1) * u)) = x * ((L(x,y,z) \ 1) * u). L(x,y,z) / (x \ 1) = L(x,y,z) * x. L(T(T(x \ 1,y),z),u,x) = T(T(x \ 1,y),z). R(x,y,x \ 1) = x. R(x,y,L(x,z,u) \ 1) = x. L(x,y,z) * (u * (x \ 1)) = (L(x,y,z) * u) * (x \ 1). (L(x,y,z) * u) * (x \ 1) = L(x,y,z) * (u * (x \ 1)). x * (y * (L(x,z,u) \ 1)) = (x * y) * (L(x,z,u) \ 1). (x * y) * (L(x,z,u) \ 1) = x * (y * (L(x,z,u) \ 1)). x != L(y,z,u) * y | y * L(y,z,u) = x. 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) \ x,z,y) = L(y \ 1,y,x). L(L(T(x * y,x) \ y,T(x * y,x),x),z,x) = L(x \ 1,x,x * y). L(x,y,y \ 1) \ (1 * x) != z | a(y \ 1,y,x) = z. a(x \ 1,x,y) = a(x,x \ 1,y). L(x,y,y \ 1) \ x = a(y,y \ 1,x). x * (y \ 1) = L(x,y,y \ 1) / y. L(x,y,y \ 1) / y = x * (y \ 1). x * y = L(x / (y \ 1),y,y \ 1). L(x / (y \ 1),y,y \ 1) = x * y. (x * (y \ 1)) * y = L(x,y,y \ 1). L(L(x,y,y \ 1),z,u) / y = L(x,z,u) * (y \ 1). R(x * (y * (x \ 1)),z,u) = x * (R(L(y,x,x \ 1),z,u) / x). x * (R(L(y,x,x \ 1),z,u) / x) = R(x * (y * (x \ 1)),z,u). L(x * (y * (x \ 1)),z,u) = x * (L(L(y,x,x \ 1),z,u) / x). x * (L(L(y,x,x \ 1),z,u) / x) = L(x * (y * (x \ 1)),z,u). (x * (y \ 1)) / y = (x / y) * (y \ 1). x != L(y,z,z \ 1) | L(y,z \ 1,z) = x. L(x,y \ 1,y) = (x * (y \ 1)) * y. (x * (y \ 1)) * y = L(x,y \ 1,y). (x * y) * L(T(T(x \ 1,z),u),w,v5) = x * (y * L(T(T(x \ 1,z),u),w,v5)). T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. 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). L(x,y,y \ 1) \ x != z | a(y,y \ 1,x) = z. a(x \ 1,x,y) != z | a(x,x \ 1,y) = z. (x \ 1) * (x \ ((x \ 1) \ y)) = x \ (1 \ y). (x \ 1) * (x \ ((x \ 1) \ y)) = x \ y. (x \ 1) \ (x \ y) = x \ ((x \ 1) \ y). T(x \ 1,x \ y) = (x \ ((x \ 1) \ y)) \ (x \ y). (x \ ((x \ 1) \ y)) \ (x \ y) = T(x \ 1,x \ y). T(x \ ((x \ 1) \ y),x \ 1) = (x \ 1) \ (y / x). (x / y) / (y \ 1) = y \ ((y \ 1) \ x). T(x \ y,x \ 1) != z | y / x = z. ((x \ 1) \ y) / x = (x \ 1) \ (y / x). (x \ ((x \ 1) \ y)) \ (y / x) = x \ 1. L(x,y,L(x \ 1,z,u)) = x. L(x \ y,z,y \ x) = x \ y. L(x,y,z \ (z / x)) = x. L(x \ 1,y,z) \ (u * x) = (L(x \ 1,y,z) \ u) * x. L(x \ 1,y,L(x,z,u)) = x \ 1. L(L(x,y,z) \ 1,u,L(L(x,w,v5),y,z)) = L(x,y,z) \ 1. L(L(x,y,z) \ 1,u,x) = L(x,y,z) \ 1. (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) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. L(x,y,z) * (x \ 1) = x \ L(x,y,z). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. x \ 1 != L(x,y,z) \ u | x \ L(x,y,z) = u. L(x,y,z) \ u != x \ 1 | x \ L(x,y,z) = u. (x * y) * (x \ (z * y)) = ((x * y) * (x \ z)) * y. ((x * y) * (x \ z)) * y = (x * y) * (x \ (z * y)). T((x * y) * (x \ z),y) = y \ ((x * y) * (x \ (z * y))). x \ ((y * x) * (y \ (z * x))) = T((y * x) * (y \ z),x). T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). T((x * y) * z,R(T(x,y * z),y,z)) = (y * z) * R(x,y,z). ((x \ 1) * (y * x)) \ T(y,x) = T(y,x) / ((x \ 1) * (y * x)). T(x,y) / ((y \ 1) * (x * y)) = ((y \ 1) * (x * y)) \ T(x,y). ((x * y) * (z * a(u,w,u))) / ((y * z) * a(v5,v6,v5)) = R(x,y,z). R(x,x \ y,y \ 1) \ x = ((y \ 1) * (y / x)) * x. R(x,x \ y,y \ 1) \ x = x * ((y \ 1) * (y / x)). R(x,x \ y,y \ 1) \ x != z | ((y \ 1) * (y / x)) * x = z. ((x \ 1) * (x / y)) * y = y * ((x \ 1) * (x / y)). L(x,y / x,y \ 1) \ x = x * ((y \ 1) * (y / x)). L(x,(y \ 1) * (y / x),((y \ 1) * (y / x)) \ 1) / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1. ((x \ y) * (y \ 1)) * x = x * ((y \ 1) * (y / x)). (((x \ y) * (y \ 1)) \ 1) \ x = x * ((y \ 1) * (y / x)). x * (L(R(y,z,u),x,x \ 1) / x) = R(x * (y * (x \ 1)),z,u). x * (L(y,z,u) * (x \ 1)) = L(x * (y * (x \ 1)),z,u). L(x * (y * (x \ 1)),z,u) = x * (L(y,z,u) * (x \ 1)). ((x * y) * (z * a(u,w,u))) / (y * (z * a(v5,v6,v5))) = R(x,y,z). x * (R(y,z,u) * (x \ 1)) = R(x * (y * (x \ 1)),z,u). R(x * (y * (x \ 1)),z,u) = x * (R(y,z,u) * (x \ 1)). x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). R(x,y,z * a(u,w,u)) = R(x,y,z). (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 * 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) \ x) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). (x \ y) * L((x \ y) \ 1,z,z \ 1) = x \ (y * R(y \ x,z,z \ 1)). 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) \ x) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). ((x \ y) \ (x \ (y / x))) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). x != L(y / z,u,w) * z | z * L(z \ y,u,w) = x. x * L(x \ (y * z),u,w) = (L(y / (x / z),u,w) * (x / z)) * z. (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. x != R(y / z,u,w) * z | z * R(z \ y,u,w) = x. x * R(x \ y,z,u) = (R(1 / (x / y),z,u) * (x / y)) * y. (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (x / (y * x)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). (x * (y * 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 \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). (x \ 1) * ((x \ 1) * L((x \ 1) \ (y / x),z,u)) = (x \ L(y,z,u)) * (x \ 1). a(x,y,x) = ((R(z,u,R(z,w,v5)) * w) * v5) / ((z * w) * v5). a(x,y,x) = ((R(z,u,z) * w) * v5) / ((z * w) * v5). x != ((R(y,z,y) * u) * w) / ((y * u) * w) | R(a(v5,v6,v5),y * u,w) = x. R(a(x,y,x),z * u,w) = a(v5,v6,v5). R(a(x,y,x),z,u) = a(w,v5,w). a(x,y,x) * (z * u) = (a(w,v5,w) * z) * u. a(x,y,x) \ (z * u) = (a(w,v5,w) \ z) * u. (a(x,y,x) * z) \ (a(u,w,u) * v5) = z \ v5. L(x,y,a(z,u,z)) = x. a(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(v5,v6,v5) * z) * u) * w) = a(a(v5,v6,v5) * z,u,w). L(x,y,a(z,u,z) * w) = (a(v5,v6,v5) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(w,v5,w) * z) * (u * v6)) = L(v6,u,a(w,v5,w) * z). R(a(x,y,x) * z,u,w) = ((a(v5,v6,v5) * (z * u)) * w) / (u * w). a(x,y,x) * (z * u) = (z * a(w,v5,w)) * u. a(x,y,x) * ((z \ 1) * u) = (z \ a(w,v5,w)) * u. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). L(x,y,1) = x. L(x,y,K(z,z \ 1)) = x. L(x,y,1) != z | x = z. L(x,y,K(z \ 1,z)) = x. L(x,y,K(z \ 1,z)) != u | x = u. K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). L(x \ y,x,z) != u | (z * x) \ (z * y) = u. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. a(x,y,x) \ (z * u) = L(z,w,z) * u. (L(x,y,x) * z) * a(u,w,u) = x * z. a(x,y,x) \ z = L(u,w,u) * (u \ z). x * a(y,z,y) = u * (L(u,w,u) \ x). x * (L(x,y,x) \ z) != u | z * a(w,v5,w) = u. x != y * (L(y,z,y) \ u) | (u / L(y,z,y)) * y = x. (x / L(y,z,y)) * y = x * a(u,w,u). x \ (a(y,z,y) * u) = (a(w,v5,w) \ x) \ u. (a(x,y,x) \ z) \ u = z \ (a(w,v5,w) * u). (a(x,y,x) * z) \ ((a(u,w,u) * v5) * v6) = z \ (v5 * v6). a(x,y,x) * (z * u) != w | z * (a(v5,v6,v5) * u) = w. x * (a(y,z,y) * u) = (x * a(w,v5,w)) * u. (x * a(y,z,y)) * u = x * (a(w,v5,w) * u). x != y \ (a(z,u,z) * w) | a(v5,v6,v5) * (y \ w) = x. a(x,y,x) * (z \ u) = (a(w,v5,w) \ z) \ u. (a(x,y,x) \ z) \ u = a(w,v5,w) * (z \ u). (x * a(y,z,y)) \ (x * (a(u,w,u) * v5)) = v5. x / (a(y,z,y) * (u \ x)) = a(w,v5,w) \ u. a(x,y,x) \ z = u / (a(w,v5,w) * (z \ u)). (x * a(y,z,y)) \ u = a(w,v5,w) \ (x \ u). a(x,y,x) \ (z \ u) = (z * a(w,v5,w)) \ u. a(x,y,x) \ (z / u) = z / (a(w,v5,w) * u). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). R(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | a(y,z,y) * (u / w) = x. a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(v5,v6,v5) * z,u,w). R(a(x,y,x) * z,u,w) = a(v5,v6,v5) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,u,w) = a(v5,v6,v5) * R(z,u,w). a(x,y,x) \ R(a(z,u,z) * w,v5,v6) = R(w,v5,v6). R(x,y,z) * a(u,w,u) = R(x * a(u,w,u),y,z). R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). R(T(x * y,x) / x,z,u) = R(y,z,u) * a(w,v5,w). x != y * a(z,u,z) | T(w * y,w) / w = x. T(x * R(y,z,u),x) / x = R(T(w * y,w) / w,z,u). R(T(x * y,x) / x,z,u) = T(w * R(y,z,u),w) / w. R(T(x,y) / y,z,u) = T(w * R(y \ x,z,u),w) / w. x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x != y * ((z * (y \ 1)) / z) | z \ T(z,y \ 1) = x. x \ T(x,y \ 1) = K(x,(x / y) / x). K(x,(x / y) / x) = x \ T(x,y \ 1). (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. (x / (y * x)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). x != (y * (z * u)) \ ((y * z) * u) | a(y,z,u) = x. a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). L(L(x,y,z) \ x,L(x,y,z),z * y) != u | a(z,y,x) = u. a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). a(x,y,R(x,z,u)) = L(a(w,v5,w),L(R(x,z,u),y,x),x * y). L(a(x,y,x),L(R(z,u,w),v5,z),z * v5) = a(z,v5,R(z,u,w)). L(L(x,y,z) \ x,(z * y) \ (z * (y * x)),z * y) != u | a(z,y,x) = u. L(a(x,y,x),z,u) != w | a(v5,v6,v5) = w. a(x,y,x) = a(z,u,R(z,w,v5)). a(x,y,R(x,z,u)) = a(w,v5,w). T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))). (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). T(R(x,y,z) * y,y) \ (T(x * y,y) * z) = L(z,y,R(T(x,y),y,z)). L(L((x * y) \ x,T(y * x,y),y),z,y) = L(y \ 1,y,y * x). L(L(x \ 1,x,y),z,x) = L(x \ 1,x,x * y). L(L(x \ 1,y,z),u,x) != w | L(x \ 1,y,z) = w. L(x \ 1,x,y) = L(x \ 1,x,x * y). L(x \ 1,x,x * y) = L(x \ 1,x,y). L(x \ 1,x,y) = L(x \ 1,x,x \ y). L(x \ 1,x,x \ y) = L(x \ 1,x,y). L(x \ 1,x,x \ (y / x)) != z | (x \ y) \ (x \ (y / x)) = z. (x \ y) \ (x \ (y / x)) = L(x \ 1,x,y / x). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). (x * y) * ((z * ((x * y) \ y)) / z) != u | (x * ((z * (x \ 1)) / z)) * y = u. (x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y). T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). x != K(y,(y / z) / y) | y \ T(y,z \ 1) = x. x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). x != y * (L(z,u,w) / y) | L(y * (z / y),u,w) = x. L(x * ((x \ (y \ x)) / x),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. (L(x,y,z) \ x) \ (L(x,y,z) \ L(x,u,w)) = L(x \ L(x,u,w),x,L(x,y,z) \ 1). L(x * (x \ ((y \ x) / x)),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. L(x * (x \ (x \ (x / y))),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. L(x \ (x / y),z,u) = ((y * L(y \ 1,z,u)) * (y \ x)) / x. ((x * L(x \ 1,y,z)) * (x \ u)) / u = L(u \ (u / x),y,z). (L(x / y,z,u) * y) * w = (y * w) * L((y * w) \ (x * w),z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. L(x,y,z) * T(u * x,L(x,y,z)) = (u * L(x,y,z)) * x. (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). (x * y) / L(y,z,u) != w | y * (T(x,y) / L(y,z,u)) = w. x * (T(y,x) / L(x,z,u)) = (y / L(x,z,u)) * x. x / L(y,z,u) = ((x / y) / L(y,z,u)) * y. ((x / y) / L(y,z,u)) * y = x / L(y,z,u). (x * L(y,z,u)) * T(y,w) = (x * T(x \ (x * y),w)) * L(y,z,u). (x * T(x \ (x * y),z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). (x / L(y,z,y)) * y != u | x * a(w,v5,w) = u. (x / y) * a(z,u,z) = x / L(y,w,y). x / L(y,z,y) = (x / y) * a(u,w,u). ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). L(x,L(x,y,z),u) = ((u * L(x,y,z)) * x) \ ((u * (x * L(x,y,z))) * x). ((x * L(y,z,u)) * y) \ ((x * (y * L(y,z,u))) * y) = L(y,L(y,z,u),x). L(x,x \ 1,y) = L(y,x,x \ 1) \ ((y * ((x \ 1) * x)) * x). L(x,y,y \ 1) \ ((x * ((y \ 1) * y)) * y) = L(y,y \ 1,x). ((x * y) / z) * L(z,y,x) != u | (x * (y * z)) / z = u. L(x,x \ 1,y) = ((y / x) * (x \ 1)) \ ((y * ((x \ 1) * x)) / x). ((x / y) * (y \ 1)) \ ((x * ((y \ 1) * y)) / y) = L(y,y \ 1,x). T(x / L(y,z,u),y) = T(x,y) / L(y,z,u). L(x,y,z) * T(u,x) = T(L(x,y,z) * u,x). T(L(x,y,z) * u,x) = L(x,y,z) * T(u,x). T(T(x,y) / L(x,z,u),x) = T(x,y) / L(x,z,u). L(T(x / L(y,z,u),y),L(y,z,u),L(y,z,u) \ 1) = T(x,y) * (L(y,z,u) \ 1). x != L(y,z,u) * T(w,y) | (L(y,z,u) * (y \ w)) * y = x. (L(x,y,z) * (x \ u)) * x = T(L(x,y,z) * u,x). T(x * ((x \ L(y,z,u)) * w),y) = L(y,z,u) * T(L(w,x \ L(y,z,u),x),y). L(x,y,z) * T(L(u,w \ L(x,y,z),w),x) = T(w * ((w \ L(x,y,z)) * u),x). T(L(x,y,z) \ T(x,u),x) = T(x,u) / L(x,y,z). x * y != T(z,y) | y \ z = x. x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. a(L(x,y,z),x,u) = (x * (L(x,y,z) * u)) \ ((L(x,y,z) * x) * u). (x * (L(x,y,z) * u)) \ ((L(x,y,z) * x) * u) = a(L(x,y,z),x,u). a(x,y,L(y,z,u) \ 1) = (x * (L(y,z,u) \ y)) \ ((x * y) * (L(y,z,u) \ 1)). (x * (L(y,z,u) \ y)) \ ((x * y) * (L(y,z,u) \ 1)) = a(x,y,L(y,z,u) \ 1). (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). (L(x,y,z) \ x) \ (x * ((L(x,y,z) \ 1) * u)) != w | L(u,L(x,y,z) \ 1,x) = w. L(L(x,y,z) \ 1,x,x \ 1) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). L(x,y,z) \ u = x * (L(x,y,z) \ (x \ u)). x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. L(x / y,z,u) \ x = (x / y) * (L(x / y,z,u) \ y). (x / y) * (L(x / y,z,u) \ y) = L(x / y,z,u) \ x. L(x \ y,z,u) \ T(y,x) = (x \ y) * (L(x \ y,z,u) \ x). (x \ y) * (L(x \ y,z,u) \ x) = L(x \ y,z,u) \ T(y,x). L(x * (L(x,y,z) \ u),L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * (x * u)). (x \ y) * a(z,u,z) = L(x,w,x) \ y. L(x,y,x) \ z = (x \ z) * a(u,w,u). 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) \ (x \ u)) != w | L(x,y,z) \ u = w. x != T(y,z) / L(y,u,w) | L(y,u,w) \ T(y,z) = x. L(x,y,z) \ T(x,u) = T(L(x,y,z) \ T(x,u),x). T(L(x,y,z) \ T(x,u),x) = L(x,y,z) \ T(x,u). T(x,L(y,z,u)) * y = T(x * y,L(y,z,u)). T(x * y,L(y,z,u)) = T(x,L(y,z,u)) * y. T(T(x * y,L(x,z,u)),x) = T(y,L(x,z,u)) * x. x * T(y,L(x,z,u)) = T(x * y,L(x,z,u)). T(x * y,L(x,z,u)) = x * T(y,L(x,z,u)). T(x,L(y \ 1,z,u)) * y = T(x * y,L(y \ 1,z,u)). T(x * y,L(y \ 1,z,u)) = T(x,L(y \ 1,z,u)) * y. L(x,y,y \ 1) \ ((x * 1) * y) = L(y,y \ 1,x). L(x,y,y \ 1) \ (x * y) = L(y,y \ 1,x). L(x,y,z) \ (x * u) != w | x * (L(x,y,z) \ u) = w. x * (L(x,y,y \ 1) \ y) = L(y,y \ 1,x). ((x / y) * (y \ 1)) \ ((x * 1) / y) = L(y,y \ 1,x). ((x / y) * (y \ 1)) \ (x / y) = L(y,y \ 1,x). x * (y * ((x * y) \ (z * y))) = (x * L(x \ z,y,x)) * y. (x * L(x \ y,z,x)) * z = x * (z * ((x * z) \ (y * z))). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. ((x * y) * z) * L(L(z,y,x),u,w) = ((x * y) * L((x * y) \ (x * (y * z)),u,w)) * z. ((x * y) * L((x * y) \ (x * (y * z)),u,w)) * z = ((x * y) * z) * L(L(z,y,x),u,w). (x * (y * ((x * y) \ (z * y)))) / y != u | x * L(x \ z,y,x) = u. (T(x,y) * L(T(x,y) \ z,y,T(x,y))) * y = T(x,y) * (y * (T(x * y,y) \ (z * y))). (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * (L(x,y,z) * u)) \ ((x * L(x,y,z)) * u) = a(L(x,y,z),x,u). T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y. (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). (x \ 1) * (L(y,x,x \ 1) * L(L(y,x,x \ 1) \ (x * y),z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). a(x,L(x,y,z),u) = a(L(x,y,z),x,u). a(L(x,y,z),x,u) = a(x,L(x,y,z),u). 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 * y) * L(y,z,u)) \ ((x * (y * L(y,z,u))) * y) = L(y,L(y,z,u),x). (R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). R(x,y,R(x,z,u)) = ((y * R(x,z,u)) * T(x,y)) / (y * R(x,z,u)). ((x * R(y,z,u)) * T(y,x)) / (x * R(y,z,u)) = R(y,x,R(y,z,u)). (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. L(x,y,y \ 1) \ L(x * z,y,y \ 1) = L(L(z,x,y),y * x,y \ 1). (1 / x) / y = K(z,z \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((y \ 1) / z) = (1 / y) / z. ((L(x \ 1,y,z) \ u) * x) * (x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). L(L(x \ 1,y,z) \ u,x,x \ 1) = L(x \ 1,y,z) \ L(u,x,x \ 1). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x != (y * z) * R((y * z) \ z,u,w) | (y * R(y \ 1,u,w)) * z = x. (x * R(x \ 1,y,z)) * u = u * (T(x,u) * R(T(x,u) \ 1,y,z)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x. 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). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). x * (y * L(y \ (x \ (y * z)),u,w)) = y * (T(x,y) * L(T(x,y) \ z,u,w)). x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (x * (y * z)) \ ((x * y) * z). T((x * (y * z)) \ ((x * y) * z),x) = (x * (y * z)) \ ((x * y) * z). T(a(x,y,z),x) = (x * (y * z)) \ ((x * y) * z). (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),x). a(x,y,z) = T(a(x,y,z),x). T(a(x,y,z),x) = a(x,y,z). T(x,a(x,y,z)) = x. x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). x / a(x,y,z) = a(x,y,z) \ x. a(x \ 1,y,z) \ x = x / a(x \ 1,y,z). x / a(x \ 1,y,z) = a(x \ 1,y,z) \ x. a(x,y,z) * x != u | x * a(x,y,z) = u. R(x,y,z) / a(x,u,w) = a(x,u,w) \ R(x,y,z). (a(x,y,z) \ 1) \ x = x / (a(x,y,z) \ 1). x / (a(x,y,z) \ 1) = (a(x,y,z) \ 1) \ x. a(x,y,z) * (x * T(u,x * a(x,y,z))) = L(u,x,a(x,y,z)) * (a(x,y,z) * x). (a(x,y,z) * (x * u)) \ ((x * a(x,y,z)) * u) != w | a(a(x,y,z),x,u) = w. (x \ 1) * ((x \ 1) * L(((x \ 1) \ y) / x,z,u)) = (x \ L(y,z,u)) * (x \ 1). (a(x,y,x) * z) \ ((a(u,w,u) * v5) * v6) != v7 | z \ (v5 * v6) = v7. (x * y) \ (x * (y * z)) = L(z,y,a(u,w,u) * x). L(x,y,a(z,u,z) * w) = (w * y) \ (w * (y * x)). x != (y * z) \ (y * (z * u)) | L(u,z,y) = x. L(x,y,z) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,1 / (1 / z)) = L(x,y,z). L(x,y,z) = L(x,y,(z \ 1) \ 1). L(x,y,(z \ 1) \ 1) = L(x,y,z). L(x,y,z) * L(T(u,x),w \ L(x,y,z),w) = T(w * ((w \ L(x,y,z)) * u),x). T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w). (x \ 1) * (L(x \ ((x \ 1) \ y),z,u) * (x \ 1)) = (x \ L(y,z,u)) * (x \ 1). x * ((x \ L(y,z,u)) * T(w,y)) = T(x * ((x \ L(y,z,u)) * w),y). T(x * ((x \ L(y,z,u)) * w),y) = x * ((x \ L(y,z,u)) * T(w,y)). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). T(x * L(x \ y,z,u),w) = T(x,w) * L(T(x,w) \ T(y,w),z,u). T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ x),z). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). (x \ 1) * L(x \ ((x \ 1) \ y),z,u) = x \ L(y,z,u). ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. T(x,x / (x * y)) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x != T(y,y / (y * z)) | T(y,z \ 1) = x. T(x,y \ 1) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,y \ 1). T(x,y \ 1) / y = x * ((x / y) / x). (x * ((x / y) / x)) \ T(x,y \ 1) = y. T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). x * ((y * (((x / 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 * L(y,z,u))) \ ((x * y) * L(y,z,u)) = a(x,L(y,z,u),T(y,L(y,z,u))). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) != u | T((1 / (z * x)) * z,y) = u. T((1 / (x * y)) * x,y) = R((1 / (x * y)) * x,y,y \ 1). R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. ((x * (x \ y)) \ (z * (x \ y))) * y = (x * T(x \ z,y)) * (x \ y). (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). ((x * y) * T((x * y) \ x,z)) * z = (x * y) * ((z \ L(y \ z,y,x)) * z). x != (y * z) * ((u \ L(w,z,y)) * u) | y * (z * ((u \ w) * u)) = x. x * (y * ((z \ (y \ z)) * z)) = ((x * y) * T((x * y) \ x,z)) * z. ((x * y) * T((x * y) \ x,z)) * z = x * (y * ((z \ (y \ z)) * z)). (x * (y * T(y \ 1,z))) * z = x * (y * ((z \ (y \ z)) * z)). (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | y \ ((z \ (y * u)) * z) = x. x \ ((y \ (x * y)) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. x \ (T(x,y) * y) = ((x \ 1) * T((x \ 1) \ 1,y)) * y. ((x \ 1) * T((x \ 1) \ 1,y)) * y = x \ (T(x,y) * y). x != y \ (T(y,z) * z) | (y * z) / y = x. (x * y) / x = ((x \ 1) * T((x \ 1) \ 1,y)) * y. ((x \ 1) * T((x \ 1) \ 1,y)) * y = (x * y) / x. (x \ T(x,y)) * y = (x * y) / x. ((x * y) / x) / y = x \ T(x,y). x * (y \ T(y,x)) = (y * x) / y. x = T(x,y) * (y \ T(y,T(x,y))). T(x,y) * (y \ T(y,T(x,y))) = x. T(x,y) * (y \ T(y,x)) = x. T(x,y) \ x = y \ T(y,x). x * (T(y,x) \ y) = T(x,y). T(x,y) \ x != z | y \ T(y,x) = z. T(L(x,y,x),z) \ L(x,y,x) = z \ T(z,x). x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). T(x * (T(x,y) \ x),y) = x. T(x,x * y) \ L(x,y,x) = y \ T(y,x). L(T(x / y,z),y,y \ 1) != u | T(x * (y \ 1),z) = u. T(x * (L(y,z,u) \ 1),y) = T(x,y) * (L(y,z,u) \ 1). a(x,y,z) * (x * T(u,x * a(x,y,z))) = L(u,x,a(x,y,z)) * (x * a(x,y,z)). a(x,y,L(y,z,u)) = a(x,L(y,z,u),T(y,L(y,z,u))). a(x,L(y,z,u),T(y,L(y,z,u))) = a(x,y,L(y,z,u)). a(x,L(y,z,u),y) = a(x,y,L(y,z,u)). (a(x,y,x) * (z * (u * w))) \ ((a(v5,v6,v5) * (z * u)) * w) = a(a(v7,v8,v7) * z,u,w). a(a(x,y,x) * z,u,w) = (a(v5,v6,v5) * (z * (u * w))) \ ((a(v7,v8,v7) * (z * u)) * w). ((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 != (a(y,z,y) * u) \ ((a(w,v5,w) * v6) * v7) | u \ (v6 * v7) = x. (x * (y * z)) \ ((x * y) * z) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = (z * (u * w)) \ ((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(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(L(x,y,x),z,u) = a(x,z,u). a(1 / x,y,z) = a(x \ 1,y,z). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). ((x * y) * L(L(z,y,x),u,w)) * z = ((x * y) * z) * L(L(z,y,x),u,w). (x * (y * L(z,u,w))) * z = ((x * y) * z) * L(L(z,y,x),u,w). ((x * y) * z) * L(L(z,y,x),u,w) = (x * (y * L(z,u,w))) * z. L(x \ y,z,u) \ L(1 \ ((x \ 1) * y),z,u) = a(L(x \ y,z,u),x,x \ 1). a(L(x \ y,z,u),x,x \ 1) = L(x \ y,z,u) \ L(1 \ ((x \ 1) * y),z,u). a(L(x \ y,z,u),x,x \ 1) = L(x \ y,z,u) \ L((x \ 1) * y,z,u). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) != w | T(x \ L(x,z,u),y * x) = w. 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). x / (x * ((y \ 1) * (y / x))) = ((y \ 1) * (y / x)) \ 1. (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,u \ 1) = L(x * R(x \ 1,u,u \ 1),y,z). (x \ 1) * R(L(x \ 1,y,x) \ 1,z,u) = L((x \ 1) * R((x \ 1) \ 1,z,u),y,x). L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(L(x \ 1,u,x) \ 1,y,z). L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = L((x \ 1) * R((x \ 1) \ 1,y,z),u,x). L((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). L(x \ R(x,y,z),u,x) = x \ R(x,y,z). a(x,y,x \ R(x,z,u)) = 1. x != y * (z * ((y * (z \ (y \ u))) / y)) | (y * ((u / z) / y)) * z = x. (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = (x * (R(u / z,z,u \ y) / x)) * (z * (u \ y)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). (x * ((y / z) / x)) * z != u | z * (x * ((z \ y) / x)) = u. (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = T(x,z \ 1) * (x \ y). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) != u | x * ((x \ T(x,z \ 1)) * (x \ y)) = u. 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. x * ((T(y,x) \ y) * z) = T(x,y) * z. L(x,y,y \ T(y,z)) = x. x * y != T(x,z) * (z * x) | x * z = y. x * y = (T(y,x) \ y) * (y * x). (T(x,y) \ x) * (x * y) = y * x. K(x,y) = T(y,x) \ y. x != T(y,z) \ y | y / T(y,z) = x. x / T(x,y) = K(y,x). K(x,y) = y / T(y,x). x != T(y,z) \ y | y * (T(y,z) \ 1) = x. x * (T(x,y) \ 1) = K(y,x). K(x,y) = y * (T(y,x) \ 1). x != T(y,z) \ y | z \ T(z,y) = x. x \ T(x,y) = K(x,y). K(x,y) = x \ T(x,y). T(x,y) * K(y,x) = x. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. K(x,y) != z | x \ T(x,y) = z. x * (K(x,y) * z) = T(x,y) * z. x != y / T(y,z) | K(z,z \ y) = x. K(x,x \ y) = K(x,y). K(x,y) * T(y,x) = y. K(x,y) != y / z | T(y,x) = z. K(x * (L(x,y,z) \ u),x) = x / T(x,u). x != y \ T(y,z) | T(z,z * y) \ L(z,y,z) = x. T(x,x * y) \ L(x,y,x) = K(y,x). K(x,y) = T(y,y * x) \ L(y,x,y). x != y \ T(y,T(z,u) \ 1) | T(y \ T(y,z \ 1),u) = x. T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). x != y \ T(y,z \ 1) | z * ((y * (z \ 1)) / y) = x. x * ((y * (x \ 1)) / y) = K(y,x \ 1). x != y \ T(y,z) | T(y,z) / y = x. T(x,y) / x = K(x,y). K(x,y) = T(x,y) / x. K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). x * K(x,y) != z | T(x,y) = z. x * (y * K(y,x)) = y * x. T(x,K(x,y)) = x. K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,L(x,y,z) * u) = x \ T(x,x * u). K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. T(x,y) * K(y,T(x,y)) = x. L(x,K(y,z),y) = x. L(x,y,K(y,z)) = x. T(K(x,y),x) = K(x,y). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T((x \ y) * x,K(y,z)) = (x \ y) * x. L(x,K(y,z),y) != u | x = u. L(x,1,y) = x. x != y | z \ (z * y) = x. x \ (x * y) = L(y,1,z). L(x,1,y) = z \ (z * x). a(x,1,y) = 1. L(x,1,y) != z | x = z. L(x,K(y \ 1,y),z) = x. L(x,K(y,y \ 1),z) = x. L(x,y,K(y,z)) != u | x = u. T(x,y) \ x != z | K(y,x) = z. (x \ y) * x = y * K(y,x). (x \ 1) * y != T(x \ 1,z) | x * T(x \ 1,z) = y. x * T(x \ 1,y) = K(x \ 1,y). R(x,y,K(y,z)) = ((x * y) * K(y,z)) / T(y,z). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | K(x,y) = z. T(x,y \ 1) = x * K(y,x). x / (x / y) = y * K(y \ x,y). x * (y / x) = y * K(x,y). x * K(y,x) = y * (x / y). x / y = (y \ x) * K(y,y \ x). (x \ y) * K(x,x \ y) = y / x. T(x,y) != z | T(z,y \ z) = x. T(x,y \ x) = x * K(y,x). T(x,y / z) != z | y / (y / z) = x. x / (x / y) = y * K(x / y,y). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). x != T(y,z) | x * K(z,x) = y. T(x,y) != z | z * K(y,z) = x. x * y = (y * K(x,y)) * x. (x * K(y,x)) * y = y * x. (x * y) / x != z | y * K(x,y) = z. x * R(y,z,u) = R(y * K(x,y),z,u) * x. R(x * K(y,x),z,u) * y = y * R(x,z,u). T(x / (x / (y * K(z,y))),z) = x / (x / y). K(x,y) = K(x,x * y). K(x,x * y) = K(x,y). K(x,y / x) * (x \ y) = y / x. x / T(x,y) != z | K(y,x) = z. K(x,y) * x != z | T(x,y) = z. x * (K(y,x) * y) = y * x. (x * T(y,z)) * a(x,K(y,z),y) = (x * K(y,z)) * y. T(x,y) = (K(z,K(x,y)) * T(K(x,y),z)) * x. (K(x,K(y,z)) * T(K(y,z),x)) * y = T(y,z). T(K(x,y),x \ 1) = K(x,y). K(x \ 1,y) * x = x * K(x \ 1,y). T(x / y,x) != z | y \ x = z. L(R(x,y,z),u,x) != w | R(x,y,z) = w. x != y | x * a(z,u,z) = y. K(x,x * y) * a(z,u,z) = K(x,y). x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). x / y = (x / (K(z,z \ 1) * y)) * K(z,z \ 1). (x / (K(y,y \ 1) * z)) * K(y,y \ 1) = x / z. L(x,T(y,z) \ 1,y) = K(z,y) \ (y * ((T(y,z) \ 1) * x)). K(x,y) \ (y * ((T(y,x) \ 1) * z)) = L(z,T(y,x) \ 1,y). 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 * R(y,z,u)) * T(y,x)) / (x * R(y,z,u)) != w | R(y,x,R(y,z,u)) = w. R(x,y,R(x,z,u)) = T(x,y) * K(y * R(x,z,u),T(x,y)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). x \ ((y * x) / y) = K(y,x). K(x,y) = y \ ((x * y) / x). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. T(x * K(x \ y,x),y) = L(x,x \ y,x). x * K(y,x) != z | T(x,y \ x) = z. x * K(y,x) != z | T(x,y \ 1) = z. T(x,y \ x) = K(y,x) * x. T(K(x,y) * y,x) = y. T(x,y) * z != x | K(y,x) = z. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). K(x,x \ (y * x)) = K(x,y). K(x,T(T(y,x),z)) = K(x,T(y,z)). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). K(x,y * x) = K(x,x * y). K(x,(y \ x) \ x) = K(x,y). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x,y) = K(x,T(y,x \ y)). K(x,T(y,x \ y)) = K(x,y). (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. K(x \ y,x) = K(y,x). K(x,y) = K(y * x,y). K(x * y,x) = K(y,x). K(L(x,y,z),z * y) = K(z * (y * x),z * y). K(x * (y * z),x * y) = K(L(z,y,x),x * y). K(x,y) * a(z,u,z) = K(y * x,y). K(x * y,x) = K(y,x) * a(z,u,z). x != y | a(z,u,z) \ x = y. a(x,y,x) \ K(z * u,z) = K(u,z). L(x,y * z,K(z,y)) = x. K(x,y) * ((y * x) * z) = (K(x,y) * (y * x)) * z. (K(x,y) * (y * x)) * z = K(x,y) * ((y * x) * z). x * y != T(x,z) | K(x,z) = y. K(x,y \ 1) = K(y,x). x != K(y,z \ 1) | K(z,y) = x. K(x,y) = K(x \ 1,y \ 1). K(x \ 1,y \ 1) = K(x,y). K(x,y) = K(y \ 1,x). K(x \ 1,y) = K(y,x). T(x,K(y,x)) = x. L(x,K(y,z),z) = x. L(x,y,K(z,y)) = x. L(x,y,K(z,y \ 1)) = x. T(T(x,y),K(z,x)) = T(x,y). L(x,y,K(z,y)) != u | x = u. K(x,y) * y != z | y * K(x,y) = z. T(x \ 1,K(x,y)) = x \ 1. x * (K(y,x) * z) = (x * K(y,x)) * z. (x * K(y,x)) * z = x * (K(y,x) * z). (x * K(y,x)) * z != x * u | K(y,x) * z = u. L(x,K(y,z),y \ z) = x. K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). x != K(y,z) | T(z,y) \ z = x. T(x,y) \ x = K(x \ 1,y). K(x \ 1,y) = T(x,y) \ x. K(x,y) != z | K(y,x \ 1) = z. K(x,(y \ 1) \ 1) = K(x,y). L(x,K(y,z),z \ 1) != u | x = u. L(x,y,K(y \ 1,z)) = x. K(x,y \ 1) * (y * z) = (K(x,y \ 1) * y) * z. (K(x,y \ 1) * y) * z = K(x,y \ 1) * (y * z). L(x,K(y,z),y \ z) != u | x = u. K(x \ 1,y) * (x * z) = (K(x \ 1,y) * x) * z. (K(x \ 1,y) * x) * z = K(x \ 1,y) * (x * z). L(x,y,K(y \ 1,z)) != u | x = u. x * K(y,y \ x) = y * (x / y). K(x,y \ x) = K(y,x). x != K(y,z) | K(y,y \ z) = x. K(x,x \ y) = K(y,x \ y). K(x,y \ x) = K(y,y \ x). a(x,y * K(z,y),z) = (x * (z * y)) \ ((x * (y * K(z,y))) * z). (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). T(x,y \ 1) != z | T(x,1 / y) = z. T(K(x,y),1 / x) = K(x,y). x * K(y,x) != z | (y * x) / y = z. (K(x,y) * z) \ T(y,x \ y) != u | L(z \ y,z,K(x,y)) = u. K(x,x \ y) != z | K(x,y) = z. K(x,y * x) = K(x,y). K(x,y) = K(x,y / x). K(x,y / x) = K(x,y). (x * (y / x)) / x = K(x,x \ y) * (y / x). K(x,x \ y) * (y / x) = (x * (y / x)) / x. K(x,y \ x) != z | K(y,x) = z. K(x \ y,y) = K(y,x). K(x,y) = K(y,y / x). K(x,x / y) = K(y,x). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). K(R(x,y,x),z) = K(x,z). K(L(x,y,x),z) = K(x,z). K(R(x,y,R(x,z,u)),w) = K(x,w). K(a(x,y,x) * z,u) = K(z,u). K(a(x,y,x) \ z,u) = K(z,u). K(x \ (x * y),z) = K(y,z). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,R(y,z,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,L(y,z,y)) = K(x,y). K(x,a(y,z,y) * u) = K(x,u). K(x,a(y,z,y) \ u) = K(x,u). K(x,T(y / z,y)) = K(x,z \ y). K(x,y) != z | K(y \ x,y) = z. K((x \ y) \ y,x \ y) = K(x,x \ y). K((x / y) \ x,z) = K(y,z). K(x \ y,z) = K(T(y,x) / x,z). K(T(x,y) / y,z) = K(y \ x,z). x * K((1 / y) \ x,y \ 1) = ((1 / y) \ x) * (1 / y). K(x \ 1,y) != z | K(y,x) = z. K(K(x,x \ 1) * y,z) = K(y,z). K(T(x * y,x),z) = K(y * x,z). K(x * (a(y,z,y) \ u),w) = K(x * u,w). K(x,T(y * z,y)) = K(x,z * y). 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 * a(u,w,u))) = K(x,y * z). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,(y * a(z,u,z)) * w) = K(x,y * w). K(x,(a(y,z,y) * u) / w) = K(x,u / w). K(x,(y * a(z,u,z)) \ w) = K(x,y \ w). K(x,(y \ 1) \ 1) != z | K(x,y) = z. K(x \ 1,y \ 1) != z | K(x,y) = z. K(x,y) != z | K(y \ 1,x) = z. K(x,y) != z | K(x,x * y) = z. K(x,L(y \ z,y,x / y)) != u | K(x,(x / y) * z) = u. x \ (T(x,y) * z) = K(x,y) * z. x * y != T(x,z) * K(z,x) | 1 = y. 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 1. (x / y) * z != T(x / y,u) * x | y * T(y \ x,u) = z. x * T(x \ y,z) = K(y / x,z) * y. K(x / y,z) * x = y * T(y \ x,z). x * y != T(x,z) * (u * x) | T(x,z) * T(u,x) = y. T(x,y) * T(z,x) = K(x,y) * (z * x). K(x,y) * (z * x) = T(x,y) * T(z,x). x * y != T(x,z) * u | T(x,z) * (x \ u) = y. T(x,y) * (x \ z) = K(x,y) * z. x * y != T(x,z) * (x * u) | T(x,z) * u = y. T(x,y) * z = K(x,y) * (x * z). K(x,y) * (x * z) = T(x,y) * z. T(x,y) * z != x * u | K(x,y) * z = u. x * (K(y,x) * z) = T(x,y \ x) * z. T(x,y \ x) * z = x * (K(y,x) * z). 1 / K(x,y) = K(y,x). K(x,y) \ 1 = K(y,x). x / (K(y,z) * K(z,y)) != u | x = u. K(x,y) \ 1 != z | K(y,x) = z. T(x,K(y,z)) = (K(z,y) * x) / K(z,y). (K(x,y) * z) / K(x,y) = T(z,K(y,x)). T(T(x,K(y,z)),K(z,y)) = x. T(x,K(y,z)) = K(z,y) * (x / K(z,y)). K(x,y) * (z / K(x,y)) = T(z,K(y,x)). T(x * K(y,z),K(z,y)) = K(y,z) * x. K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). K(K(x,y),z) != u | K(z,K(y,x)) = u. x != T(y,K(z,u)) | T(x,K(u,z)) = y. T(x,K(y,z)) != u | T(u,K(z,y)) = x. K(x,y) * T(z,u) = T(T(z,K(y,x)),u) * K(x,y). T(T(x,K(y,z)),u) * K(z,y) = K(z,y) * T(x,u). K(x \ (x / y),x) = K(y \ 1,x). x != K(y \ 1,z) | K(1 / y,z) = x. K(1 / x,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(1 / x,y). x \ K(x \ 1,y) = T(x \ 1,y). L(x,T(y \ 1,z),y) = K(y \ 1,z) \ (y * (T(y \ 1,z) * x)). K(x \ 1,y) \ (x * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),x). x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). (x \ y) * K(x,y) = y / x. x * y != z / (z / x) | K(x \ z,x) = y. K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). (x * (y / x)) \ x = y \ (x * K(y / x,x)). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. x != K(y \ z,y) | K(z,y) = x. K(x,y) = K(x / y,y). K(x / y,y) = K(x,y). x * K(x / y,y) = (y \ x) * y. K(x,y) = K(x * y,y). K(x * y,y) = K(x,y). x != K(y,z) | K(z * y,z) = x. K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). K(x,y) * (x \ y) = y / x. R(K(x,y),x \ y,z) * ((x \ y) * z) = (y / x) * z. L(T(K(x,y),x \ y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). (x * y) * L(K(z,z \ y),y,x) = x * (z * (y / z)). K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x / T(y,x),z) = K(y \ x,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. T(x,y) \ (K(x,y) * z) = x \ z. x * y != z * 1 | x \ z = y. T(x,y) \ K(x,y) = x \ 1. L(x \ y,T(x,z),u) = (u * T(x,z)) \ (u * (K(x,z) * y)). (x * T(y,z)) \ (x * (K(y,z) * u)) = L(y \ u,T(y,z),x). T(x,y) \ (K(x,y) * z) != u | x \ z = u. K(x,y) * (x * z) != u | T(x,y) * z = u. T(x \ y,z) * x = K(x \ y,z) * T(y,x). K(x \ y,z) * T(y,x) = T(x \ y,z) * x. T(x,y) * K(x,z) = K(x,y) * T(x,z). K(x,y) * T(x,z) = T(x,y) * K(x,z). T(x * y,x) * ((x * y) \ z) = K(y,x) * z. x \ (K(x,y) * z) = K(x,y) * (x \ z). (T(x,y) * z) / (x * z) = K(x,y). K(x,x \ y) * (x * z) = ((x \ y) \ y) * z. T(x,y) * (x \ z) != u | K(x,y) * z = u. (x * K(y,z)) \ (x * (T(y,z) * u)) != w | L(y * u,K(y,z),x) = w. ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). K(K(x,y),z) * (x * y) = T(K(x,y),z) * (y * x). K(x,y) * T(x * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x \ (x / L(y,z,u)),x) != w | L(y * T(y \ 1,x),z,u) = w. L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x / y) * K(y \ 1,x) = (x \ (x / y)) * x. (x \ (x / y)) * x = (x / y) * K(y \ 1,x). (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. K(1 / x,y) / x = T(1 / x,y). x \ K(y,x) = T(x \ 1,y). T(x \ 1,y) = x \ K(y,x). x != y \ K(z,y) | T(y,z) \ 1 = x. T(x,y) \ 1 = T(x \ 1,y). T(x \ 1,y) = T(x,y) \ 1. T(x \ 1,y \ x) = x \ K(x,y). T(x \ 1,y) \ 1 = T(x,y). T(L(x,y,z) \ 1,u) = L(T(x,u),y,z) \ 1. T(x \ 1,y) != z \ 1 | T(x,y) = z. (T(x,y) * (T(x \ 1,y) * z)) \ (1 * z) = a(T(x,y),T(x,y) \ 1,z). T((x / y) \ 1,x) = (y \ x) \ 1. T(x \ 1,y) * R(T(x,y),z,u) = T(x,y) \ R(T(x,y),z,u). T(x \ 1,y) * L(T(x,y),z,u) = T(x,y) \ L(T(x,y),z,u). T((x \ y) \ 1,x \ 1) = (y / x) \ 1. T(x \ 1,y) * (T(x,y) / z) = (z \ T(x,y)) * (T(x,y) \ 1). L(x,T(y \ 1,z),T(y,z)) = L(x,T(y,z),T(y,z) \ 1). T(x,y) * R(T(x \ 1,y),z,u) = T(x * R(x \ 1,z,u),y). T(x,y) * L(T(x \ 1,y),z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ 1 != z | T(x \ 1,y) = z. L(x,y,T(z,u) \ 1) = L(x,y,T(z \ 1,u)). L(x,y,T(z \ 1,u)) = L(x,y,T(z,u) \ 1). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * y)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x,y) * (T(x * y,y) \ z) = (x * y) \ z. R(T(x,y) / x,x,z) = K(x,y). K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. R(K(x,y),x,z) = K(x,y). T(x,y) != z | T(x,T(y,x)) = z. T(x \ 1,T(y \ x,x \ 1)) = x \ K(x,y). (x \ K(x,y)) \ 1 = T(x,y \ x). x * ((y \ x) \ 1) = ((x / y) \ 1) * x. ((x / y) \ 1) * x = x * ((y \ x) \ 1). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). x * T(y,T(x,z)) = K(x,z) \ (y * T(x,z)). K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). T(x,x * y) * K(y,x) = L(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)). R(x,y,K(z,u)) = R(x,y,K(z,z * u)). R(x,y,K(z,z * u)) = R(x,y,K(z,u)). K(x,y) * z = K(x,x * y) * (a(u,w,u) * z). K(x,x * y) * (a(z,u,z) * w) = K(x,y) * w. a(x,y,x) * K(z,u) = K(u * z,u). K(x * y,x) = a(z,u,z) * K(y,x). K(x * y,x) * z = K(y,x) * (a(u,w,u) * z). L(x,y,K(z,u)) = L(x,y,K(u * z,u)). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). 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 \ 1) != z | K(x,1 / y) = z. K(x,R(y,z,y)) != u | K(x,y) = u. K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. K(x,L(y,z,y)) != u | K(x,y) = u. K(x,a(y,z,y) \ u) != w | K(x,u) = w. K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,y \ 1) != z | K(y,x) = z. K((x \ 1) \ 1,y) != z | K(x,y) = z. K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x * y,x) != z | K(y * x,x) = z. K(x * y,y) = a(z,u,z) * K(x,y). K(x \ 1,y) != z | K(1 / x,y) = z. a(K(x * y,y),z,u) = a(K(x,y),z,u). x \ K(y,x \ 1) = (y * (x \ 1)) / y. (x / y) * ((z * ((x / y) \ 1)) / z) != u | (x * ((z * (x \ y)) / z)) / y = u. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z. K(x,L(T(T(y,x),z),u,w)) = K(x,L(T(y,z),u,w)). R(x,K(y,x),z) = x. ((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. R(x,1,y) = x. T(x,y) * (K(z,x) * u) = (T(x,y) * K(z,x)) * u. (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). R(x,K(x,y),z) = x. R(x,1,y) != z | x = z. R(T(x,y),K(x,z),u) = T(x,y). R(x,x \ T(x,y),z) = x. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). K(x,T(1 / y,z)) = K(x,T(y,z) \ 1). (x * T(x \ y,z)) / y = K(y / x,z). K(x,y) * z = (x \ z) * T((x \ z) \ z,y). (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. x != T(y,z) * u | y * (K(y,z) * u) = x. x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). x != T(y,z) * T(R(z,u,w),y) | R(z,u,w) * T(y,z) = x. R(x,y,z) * T(u,x) = K(u,x) * (R(x,y,z) * u). K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). x != T(y,z) * T(L(z,u,w),y) | L(z,u,w) * T(y,z) = x. L(x,y,z) * T(u,x) = K(u,x) * (L(x,y,z) * u). K(x,y) * (L(y,z,u) * x) = L(y,z,u) * T(x,y). T(T(x,K(y,z)),K(z,y)) != u | x = u. T(x,K(y,z)) != u | K(z,y) * (x / K(z,y)) = u. T(x,K(y,z)) != u | (K(z,y) * x) / K(z,y) = u. T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. T(T(x,y),K(x,z)) != u | T(x,y) = u. K(x,y) * T(K(y,x) * z,u) = T(z * K(y,x),u) * K(x,y). T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). x != T(y,z) * K(y,u) | K(y,u) * T(y,z) = x. K(x,y) * T(x,z) = K(x,z) * T(x,y). ((x / y) \ 1) \ y = y / ((y \ x) \ 1). x / ((x \ y) \ 1) = ((y / x) \ 1) \ x. (((x / y) \ 1) * x) * (y \ x) = L(x,(y \ x) \ 1,y \ x). x != (y * z) / y | z * K(y,z) = x. (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). (x \ K(y,x \ 1)) * y = y * (x \ 1). x \ K(y * x,x \ 1) = R(y,x,x \ 1) / (y * x). R(x,y,y \ 1) / (x * y) = y \ K(x * y,y \ 1). (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). ((x * y) / x) * (x * z) = y * (T(x,y) * z). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ 1). (x * (y * T(y \ (x \ z),u))) / z = K(z / (x * y),u). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). (x \ K(x,y)) * y = y * (x \ 1). T(x \ K(x,y),y) = x \ 1. x != y / T(y,z) | K(z,y) = x. K(x,y) = K(y * (L(y,z,u) \ x),y). K(x * (L(x,y,z) \ u),x) = K(u,x). K(x * y,x) = K(L(x,z,u) * y,x). K(L(x,y,z) * u,x) = K(x * u,x). K(L(x,y,z) \ u,x) = K(x \ u,x). x != y \ T(y,z) | K(y,z) = x. K(x,x * y) = K(x,L(x,z,u) * y). K(x,L(x,y,z) * u) = K(x,x * u). K(x * K(y,z),u) = K(x * K(z * y,z),u). K(x * K(y * z,y),u) = K(x * K(z,y),u). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * ((z \ 1) * v5)). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). K(x,y * (z / L(u,w,u))) = K(x,y * (z / u)). K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). K(x,(y / L(z,u,z)) * w) = K(x,(y / z) * w). K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). 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,T(y * z,y) \ u) = K(x,(z * y) \ u). 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) * (L(x,z,u) \ x) != w | T(x,y) * (L(x,z,u) \ 1) = w. K(x,y) * T(x * L(x \ z,u,w),x) != v5 | T(x,y) * L(x \ T(z,x),u,w) = v5. T(x,y) * z != u | K(x,y) * (x * z) = u. T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. K(x,x / y) != z | K(x,y \ x) = z. T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). K(x,T(y,z)) = T(K(x,y),z). K(x,y \ z) = T(K(x,z / y),z). T(K(x,y / z),y) = K(x,z \ y). x != T(y,z) | z * T(z \ y,y) = x. x * T(x \ K(y,z),K(y,z)) = K(y,T(z,x)). x != T(y,z) | y * K(y,z) = x. K(x,y) * K(K(x,y),z) = K(x,T(y,z)). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). K(x,T(y,z / y)) = T(K(x,y),z). K(x,T(y,z)) * (y * x) = (y * x) * T(K(x,y),z). x * T(K(x,y),z) != u | T(x,T(y,z)) = u. K(x,y \ z) != T(u,z) | K(x,z / y) = u. T(x,y) != K(z,u \ y) | K(z,y / u) = x. L(x,K(y,T(z,u)),u) = (K(y,z) * u) \ (u * (K(y,T(z,u)) * x)). (K(x,y) * z) \ (z * (K(x,T(y,z)) * u)) = L(u,K(x,T(y,z)),z). x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). (x * (y * L(K(z,T(u,y)),y,x))) \ (x * (K(z,u) * y)) = a(x,y,L(K(z,T(u,y)),y,x)). x * K(y,z * x) = K(y,x * z) * x. K(x,y * z) * y = y * K(x,z * y). K(x,y) * K(z,x) = K(z,x) * K(x,y). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). K(x,T(T(y,z),u * y)) = T(K(x,T(y,u)),z). T(K(x,y),K(z,x)) = K(x,y). T(K(x,y),K(x,z)) = K(x,y). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * L(K(y,z),u,w) = L(K(y,z),u,w) * K(x,y). L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). K(x,x \ y) * K(z,K(y,x)) = K(x,T(x \ y,z)). T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. (K(x,K(y,z)) * K(y,T(z,x))) * y = T(y,z). K(x,L(y,z,u)) = L(y,z,u) \ L(y * K(x,y),z,u). L(x,y,z) \ L(x * K(u,x),y,z) = K(u,L(x,y,z)). ((x * K(y,y \ z)) * (z / y)) / a(x,K(y,y \ z),z / y) = x * ((y * (z / y)) / y). (x * y) * T(L(z,y,x),u) = (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u). (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = (x * y) * T(L(z,y,x),u). x * T(x \ y,z) = y * K(z,y \ x). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x \ T(x * y,z) = y * K(z,y \ (x \ 1)). x != y * T(y \ z,u) | z * K((z \ y) \ 1,u) = x. x * K((x \ y) \ 1,z) = K((y / x) \ 1,z) * x. K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). x != (y \ 1) * T((y \ 1) \ (y \ z),u) | y \ T(z,u) = x. x \ T(y,z) = K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y). K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). x * y != z * T(z \ y,u) | K(y / z,u) = x. K(x / y,z) = K((y / x) \ 1,z). K((x / y) \ 1,z) = K(y / x,z). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). K(1 / (x / y),z) = K(y / x,z). K(x,y / z) = K(z / y,x). K(x / y,z) = K(z,y / x). K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). K(x / y,z) != u | K(z,y / x) = u. K(x * ((y / z) \ 1),x) = K(z / y,x) * a(u,w,u). K(x,y / z) = K(x \ 1,z / y). K(x \ 1,y / z) = K(x,z / y). K(x,(y / z) \ 1) = K(x,z / y). K((x * y) \ x,z) = K(y \ 1,z). x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). K(x / (y * x),z) != u | K(1 / y,z) = u. K(x,y / z) != u | K(z / y,x) = u. K(x,1 / (y / z)) = K(x,z / y). K(x,y \ 1) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,z \ 1). K(x \ y,z) = K((y \ x) \ 1,z). K((x \ y) \ 1,z) = K(y \ x,z). x * K(y \ 1,x * y) = ((x * y) \ x) * (x * y). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x,y / (z * y)) != u | K(x,1 / z) = u. K(1 / (x \ y),z) = K(y \ x,z). K(x,y \ z) = K(z \ y,x). K(x \ y,z) = K(z,y \ x). K(x \ 1,y) != z | K((u * x) \ u,y) = z. K((x * (y \ z)) \ x,u) = K(z \ y,u). K(x \ 1,x) != y | 1 = y. 1 = K(x \ y,y \ x). K(x \ y,y \ x) = 1. K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(x \ y,z) != u | K(z,y \ x) = u. x * T(x \ y,z) = y * K(x \ y,z). T(x \ y,y \ x) = x \ y. K(x,y \ z) = K(x \ 1,z \ y). K(x \ 1,y \ z) = K(x,z \ y). K(x,(y \ z) \ 1) = K(x,z \ y). K((x / y) \ x,z) != u | K(y,z) = u. K(x,y) = K(y,z \ (z / x)). K(x,y \ (y / z)) = K(z,x). T(x \ y,z) = (x \ y) * K(z,y \ x). (x \ y) * K(z,y \ x) = T(x \ y,z). T(x,y \ z) = K(z \ y,x) * x. K(x \ y,z) * z = T(z,y \ x). T(x,(y \ z) \ 1) = x * K(x,z \ y). K(x \ y,x) != z | K(y,x) = z. K(x \ 1,y \ z) != u | K(x,z \ y) = u. (x \ y) * T(y \ x,z) = T(y \ x,z) * (x \ y). T(x \ y,z) * (y \ x) = (y \ x) * T(x \ y,z). (x \ y) * L(y \ x,z,u) = L(y \ x,z,u) * (x \ y). L(x \ y,z,u) * (y \ x) = (y \ x) * L(x \ y,z,u). (x \ y) * L(y \ x,z,u) != w | L(y \ x,z,u) * (x \ y) = w. (x \ y) * K(z,y \ x) = K(z,y \ x) * (x \ y). K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). K(x,y) != z | K(y * x,y) = z. K((x \ (x / y)) * z,x \ (x / y)) = K(y,z). (x / y) * T((x / y) \ x,z) = x * K(y,z). K(x,y \ z) != u | K(z \ y,x) = u. K(x,1 / (y \ z)) = K(x,z \ y). K(x,((y * z) \ y) \ 1) = K(x,z). T(T(x,y \ z),z \ y) = x. T(x,(y \ z) \ 1) = T(x,z \ y). x / (y \ z) = T((y \ z) \ x,z \ y). T((x \ y) \ z,y \ x) = z / (x \ y). x != T(y,z \ u) | T(x,u \ z) = y. T(x,y \ z) != u | T(u,z \ y) = x. (x \ y) * z = T(z,y \ x) * (x \ y). T(x,y \ z) * (z \ y) = (z \ y) * x. K(x / (y \ z),u) = K((y \ z) \ T(x,z \ y),u). K((x \ y) \ T(z,y \ x),u) = K(z / (x \ y),u). x != K(y,y \ z) | K(y,z / y) = x. K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). 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,y \ 1) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,z \ 1). 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)). ((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). 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). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). x != T(y,z \ 1) | T(y,1 / z) = x. T(x,1 / y) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,1 / z). x != T(y / (y / z),z \ y) | z = x. x = T(1 / (1 / x),y \ (y / x)). T(1 / (1 / x),y \ (y / x)) = x. (x \ (x / y)) * y = (1 / (1 / y)) * (x \ (x / y)). (1 / (1 / x)) * (y \ (y / x)) = (y \ (y / x)) * x. K(x,(y / z) \ 1) != u | K(x,z / y) = u. K(a(x,y,(x * y) \ z),u) != w | K(u,z \ (x * (y * ((x * y) \ z)))) = w. K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. K(x,y) != z | K(x,x \ y) = z. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). x * T(x \ y,z) != u | K(y / x,z) * y = u. K(x / y,z) * x = x * K(y \ x,z). x \ (y * T(y \ x,z)) = K(y \ x,z). (x * K(y \ x,z)) / y = T(x / y,z). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. T(x \ y,x \ 1) = y / (1 \ x). (x * (y \ z)) * (z \ y) = (z \ y) * ((y \ z) * x). (x / ((y \ z) \ 1)) * (z \ y) = (z \ y) * (((y \ z) \ 1) \ x). T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x. (x \ 1) * (((y * x) \ y) \ y) = (y * x) * (x \ 1). T(K(x / y,z),x) = K(y \ x,z). x * K(y \ x,z) != u | y * T(y \ x,z) = u. x \ (y * (z * T(z \ (y \ x),u))) = K((y * z) \ x,u). T(x,K(y \ x,z)) \ (y * T(y \ x,z)) = T(x \ (y * T(y \ x,z)),x). K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. K(x,y \ z) * T(y,z) = T(z \ y,x) * z. (x * y) * ((y * x) \ z) = K(x,y) * z. (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x * y,z) * (K(x,y) * u) = T(x * y,z) * ((y * x) \ u). x != ((y \ 1) * (y / z)) * z | z * ((y \ 1) * (y / z)) = x. x * ((y \ 1) * (y / x)) = K(y \ 1,y / x) * (((y / x) * (y \ 1)) * x). K(x \ 1,x / y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). (x * (L(y,z,u) \ y)) \ (K(x,y) * ((y * x) * (L(y,z,u) \ 1))) = a(x,y,L(y,z,u) \ 1). x \ ((x * y) * z) = K(x,y) * (x \ ((y * x) * z)). K(x,y) * (x \ ((y * x) * z)) = x \ ((x * y) * z). (x * y) \ z != (y * x) \ (K(y,x) * u) | u = z. x = K(y,z) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. T(x * y,(y * x) \ z) != u | T(x * y,K(x,y) * z) = u. (x * y) \ y = (y * x) \ T(y,x). (x * y) \ T(x,y) = (y * x) \ x. K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. T(x,K(y,z)) = K(z,y) * (x * K(y,z)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). x / (K(y,z) * x) = K(z,y). K(x,x \ 1) * (y * (z \ 1)) != u | y * (1 / z) = u. K(x \ 1,x) * (1 / y) = y \ 1. K(x,y) * z != K(x,T(y,u)) | K(u,K(y,x)) = z. K(x,K(y,z)) = K(y,z) * K(z,T(y,x)). K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,y) * z != x \ u | T(x,y) \ u = z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. K(x,y) * z != T(x,y) * u | x * u = z. x * y = K(z,x) * (T(x,z) * y). K(x,y) * (T(y,x) * z) = y * z. K(x / y,z) * u != y * T(y \ x,z) | x = u. x = K(y,x / z) * (z * T(z \ x,y)). K(x,y / z) * (z * T(z \ y,x)) = y. x * y != L(z,u,x) * (x * u) | u * T(z,x * u) = y. x * T(y,K(z,u) * x) = K(u,z) * (L(y,x,K(z,u)) * (K(z,u) * x)). K(x,y) * (L(z,u,K(y,x)) * (K(y,x) * u)) = u * T(z,K(y,x) * u). K(x,y) * z != u * K(x,T(y,u)) | u = z. x = K(y,z) * (x * K(z,T(y,x))). K(x,y) * (z * K(y,T(x,z))) = z. K(x,y) * z != K(y * x,y) | a(u,w,u) = z. a(x,y,x) = K(z,u) * K(z * u,z). K(x,y) * z != (x * y) / x | y = z. x = K(x,y) * ((y * x) / y). K(x,y) * ((y * x) / y) = x. x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. x / (K(y,z) * x) != u | K(z,y) = u. K(x,y) \ z != u | K(y,x) * z = u. L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. T(x,K(y,z)) = (K(z,y) * x) * K(y,z). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). K(x \ 1,x) * ((y * (1 / y)) * z) = z. T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. x * y = T(x,z) * (K(z,x) * y). T(x,y) * (K(y,x) * z) = x * z. T(x,y) \ z = x \ (K(y,x) * z). x \ (K(y,x) * z) = T(x,y) \ z. x != K(y,z) * a(u,w,u) | K(z * y,z) = x. K(x * y,x) = K(x,y) \ a(z,u,z). K(x,y) \ z != u | x * (T(x,y) \ z) = u. x * (T(x,y) \ z) = K(y,x) * z. x \ y != z | y / T(x,y) = z. x / T(K(y,z),x) = K(z,y) * x. K(x,y) * (K(y,x) * z) != u | z = u. K(x,y) * (z * K(y,x)) != u | T(z,K(y,x)) = u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. T(K(x,y) \ z,K(y,x)) = z * K(y,x). T(K(x,y),z) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = T(K(y,x),z). (K(x,y) * z) * K(y,x) != u | T(z,K(y,x)) = u. T(K(x,y),z) \ u = K(T(y,z),x) * u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. x / (y * x) != z | (x * y) \ x = z. (x * K(y,z)) \ x = K(z,y). (x * y) / (T(x,z) * y) = K(z,x). x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). x / K(y,z) = x * K(z,y). (x * K(y,z)) * K(z,y) = x. x / K(y,z) != u | x * K(z,y) = u. ((x * y) / x) \ y = K(y,x). K(x,y) = ((y * x) / y) \ x. (x * T(x \ y,z)) \ y = K(z,(y \ x) \ 1). (x * T(x \ y,z)) \ y = K(z,x \ y). ((x * K(y,z)) \ x) \ u = K(y,z) * u. x * K(y,z) != u | u * K(z,y) = x. (x * K(y,z)) \ x != u | K(z,y) = u. R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). x * K(y,z) != K(y,z) * K(z,u) | K(z,u) = x. K(x,y) = (K(z,x) * K(x,y)) * K(x,z). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). x * K(y,T(z,u)) != K(y,z) * u | u = x. x = (K(y,z) * x) * K(T(z,x),y). (K(x,y) * z) * K(T(y,z),x) = z. x * K(y,y \ z) != z / y | y \ z = x. x \ y = (y / x) * K(x \ y,x). (x / y) * K(y \ x,y) = y \ x. x * K(y,z) != K(y,u) * T(y,z) | T(y,u) = x. T(x,y) = (K(x,y) * T(x,z)) * K(z,x). (K(x,y) * T(x,z)) * K(z,x) = T(x,y). (x * y) * a(x,y * K(z,u),K(u,z)) = (x * (y * K(z,u))) * K(u,z). (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. (x \ (y * K(x,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 * K(y,x))) * y. K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). ((x * y) \ y) * T(y * x,x \ 1) = T(y,x). (x \ 1) * y = K(z \ 1,z) * ((1 / x) * y). K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. K(x,y) * z = T(y,x) \ (y * z). T(x,y) \ (x * z) = K(y,x) * z. x != T(y,z) \ K(y,z) | y \ 1 = x. x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. K(x,y) * z != u | z * K(x,T(y,z)) = u. (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. K(x,y) * T(z,y) = T(y,x) \ (z * y). T(x,y) \ (z * x) = K(y,x) * T(z,x). K(x,y / z) * z = T(y / z,x) \ y. T(x / y,z) \ x = K(z,x / y) * y. T(K(x,y),z) * (T(y,x) \ u) = K(x,y) * (T(K(x,y),z) * (y \ u)). K(x,y) * (T(K(x,y),z) * (y \ u)) = T(K(x,y),z) * (T(y,x) \ u). K(x,x * y) * ((x * y) \ z) = (y * x) \ z. K(x,y \ z) * T(y,z) = T(y \ z,x) \ z. K(x,T(y,y \ z)) * T(y \ z,y) = T(T(y,y \ z),x) \ z. K(x,y) * (x \ z) = T(x,y \ x) \ z. T(x,y \ x) \ z = K(x,y) * (x \ z). K(x,y) * (K(y,z) * u) = T(y,x) \ (T(y,z) * u). T(x,y) \ (T(x,z) * u) = K(y,x) * (K(x,z) * u). K(x,y) * (K(y,z) * (y \ u)) = T(y,x) \ (K(y,z) * u). K(x,y * K(y \ x,y)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. K(x,y) * K(z \ y,u) = T(y,x) \ (z * T(z \ y,u)). T(x,y) \ (z * T(z \ x,u)) = K(y,x) * K(z \ x,u). R(K(x,y),T(y,x) * z,u) = ((y * z) * u) / ((T(y,x) * z) * u). x * (y * z) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = x * (y * z). (x * y) / T(T(x,z),K(z,x) * y) = K(z,x) * y. K(x,y) * (y * z) = y * (K(x,y) * z). x \ (K(x,y) * z) = T(x,y \ x) \ z. T(x,y \ x) \ z = x \ (K(x,y) * z). x \ (x / y) = T(x,y) \ (y \ x). T(x,y) \ (y \ x) = x \ (x / y). T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. x != y * (T(y,z) * u) | T(y,z) * (y * u) = x. T(K(x,y),z) * (K(x,y) * u) = y * (T(y,x) \ (T(K(x,y),z) * u)). x * (T(x,y) \ (T(K(y,x),z) * u)) = T(K(y,x),z) * (K(y,x) * u). x \ (K(y,x) * z) != u | T(x,y) \ z = u. x * (K(y,x) * (x \ z)) = K(y,x) * z. K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). x / K(y,T(z,x)) = K(z,y) * x. x != T(K(y,z),u) | K(y,T(z,u)) = x. K(x,T(y,z)) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = K(y,T(x,z)). L(T(K(x,y),z) \ u,(K(y,x) * z) \ z,K(y,x) * z) = z \ ((K(y,x) * z) * u). (x \ 1) / (x \ K(x,y)) = K(y,x). T(x,y) \ (y \ x) != z | L(y \ 1,y,y \ x) = z. L(x \ 1,x,x \ y) = y \ (y / x). (K(x,y) * z) * K(y,T(x,z)) = z. x * K(T(y,x),z) = K(y,z) * x. (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. (K(x,y) * z) * u != z | K(T(y,z),x) = u. K(T(x,y),z) = K(x,T(z,y)). x != K(y,T(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = K(T(x,z),y). K(T(x,y),z) = T(K(x,z),y). x != K(y,T(z / u,z)) | K(y,u \ z) = x. K(x,y \ z) = K(T(x,z),z / y). K(T(x,y),y / z) = K(x,z \ y). K(T(x * y,x),z) != u | K(y * x,z) = u. K(x * y,z) = K(y * x,T(z,y)). K(x * y,T(z,x)) = K(y * x,z). K(x,y) != z | y / T(y,x) = z. x / T(x,T(y,z)) = K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). K(T(x,y),y) = K(x,y). K(x,y) = K(x,T(y,L(x,z,u))). K(x,T(y,L(x,z,u))) = K(x,y). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(T(x,y),z) = K(x,T(z,x * y)). K(x,T(y,x * z)) = K(T(x,z),y). K((x \ y) * x,z) = K(y,T(z,x)). K((x \ y) \ y,z) = K(x,T(z,y)). K(L(x,y,z) * (z * y),u) = K(z * (y * x),T(u,z * y)). K(x * (y * z),T(u,x * y)) = K(L(z,y,x) * (x * y),u). T(T(x,y),z) = T(x,y) * K(x,T(z,y)). T(x,y) * K(x,T(z,y)) = T(T(x,y),z). T(x,T(y,z)) = x * K(T(x,z),y). x * K(T(x,y),z) = T(x,T(z,y)). T(T(x,y),z) = K(x,T(z,y)) * T(x,y). K(x,T(y,z)) * T(x,z) = T(T(x,z),y). K(x,T(y,z)) * (K(y,T(x,z)) * u) = u. K(x,T(y,z)) \ u = K(y,T(x,z)) * u. K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. x \ (K(y,T(x,z)) * u) = T(x,T(y,z)) \ u. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). K(T(x,y),z) = T(K(x,z),x * y). T(K(x,y),x * z) = K(T(x,z),y). T(T(x,y),z) = T(K(x,z),y) * T(x,y). T(K(x,y),z) * T(x,z) = T(T(x,z),y). K(x,T(y * z,y)) != u | K(x,z * y) = u. 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)). T(x,L(y,z,u)) * K(y,x) = T(x * K(y,x),L(y,z,u)). T(x * K(y,x),L(y,z,u)) = T(x,L(y,z,u)) * K(y,x). x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). K((x \ y) * z,u) = K(z * (x \ y),T(u,y \ x)). K(x * (y \ z),T(u,z \ y)) = K((y \ z) * x,u). K(x,T(y,z)) != u | K(T(x,z),y) = u. K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). x != K(T(y,z),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x,y \ (z \ y)) = K(z,T(x,y)). x * T(K(x,y),x * z) = T(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,x \ z)). K(x,T(y,x \ z)) = K(x,T(y,z)). x != K(y,z) | K(z,y \ 1) = x. K(T(x,y),z \ 1) = K(x,y \ (z \ y)). a(x,y,x) != z | a(u,w,R(u,v5,v6)) = z. a(x,y,R(x,z,u)) = K(w,v5) * K(w * v5,w). a(x,y,x) = K(z,z \ u) * K(u,z). a(x,y,x) != K(z,u) * w | K(z * u,z) = w. K(x,K(y,z)) * u != w | K(x,K(z,y)) * w = u. T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. K(x * y,x) != z \ a(u,w,u) | K(x,y) = z. K(x,y) * z != u | K(y,x) \ z = u. K(x,y) * (y \ z) != u | T(y,x) \ z = u. x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. L(x \ 1,x,x \ y) != z | L(x \ 1,x,y) = z. L(x \ 1,x,y) = y \ (y / x). (x * y) \ x = x \ (x / y). x != y \ (y / z) | L(z \ 1,z,y / z) = x. L(x \ 1,x,y / x) = L(x \ 1,x,y). L(x \ 1,x,x \ y) != z | y \ (y / x) = z. x \ (x / y) = (y \ x) \ ((y \ x) / y). (x \ y) \ ((x \ y) / x) = y \ (y / x). L(x \ 1,x,y) * z = (y \ (y / x)) * z. x * L(y \ 1,y,x) = x / y. L(x \ (x / y),z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L(u \ (u / x),y,z). L((x \ y) \ 1,x \ y,y) = y \ x. (x * y) * R(x \ (x / y),z,u) = x * (y * R(y \ 1,z,u)). (x * y) * L(x \ (x / y),z,u) = x * (y * L(y \ 1,z,u)). L(x,x \ 1,y) = y \ (y / (x \ 1)). T(L(x \ 1,x,y),y) = y \ (x \ y). L(x \ 1,x,L(x,y,z) * u) = (L(x,y,z) * u) \ (L(x,y,z) * (u / x)). (L(x,y,z) * u) \ (L(x,y,z) * (u / x)) = L(x \ 1,x,L(x,y,z) * u). L(x \ (x / y),z,y) = L(y \ 1,y,x). (x * y) \ x != z | x / (y * x) = z. x / (y * x) = x \ (x / y). (x * y) \ x != z | T(x,y) / (x * y) = z. T(x,y) / (x * y) = x \ (x / y). ((x / y) * (y \ 1)) \ (x / y) != z | L(y,y \ 1,x) = z. L(x,x \ 1,y) = (y / x) \ ((y / x) / (x \ 1)). (x / y) \ ((x / y) / (y \ 1)) = L(y,y \ 1,x). x * ((x * y) \ x) = x / y. x / a(x,y,x \ (x / y)) = x * (y * ((x * y) \ x)). (x \ (x / y)) * R(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). (x \ (x / y)) * L(((x * y) \ x) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). (x \ (x / y)) * (y * x) = x. x * (x / (y * x)) = x / y. x / (x * a(x,y,z)) = x \ (x / a(x,y,z)). (x \ (x / y)) * R((x / (y * x)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). (x \ (x / y)) * L((x / (y * x)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). x * (y \ x) = x / (x \ y). x / (x \ y) = x * (y \ x). (x \ y) * ((y \ x) * x) = x. x / y != x * z | x / (y * x) = z. x != y * (z \ (z * u)) | y * u = x. (x * y) * y = (x * y) / ((x * y) \ x). (x * y) / ((x * y) \ x) = (x * y) * y. x / (x \ y) != z | (y / x) \ x = z. (x / y) \ y = y * (x \ y). (x \ y) \ x = (y \ x) * x. L(x,y \ x,x \ y) = ((x \ y) * (y \ x)) \ x. ((x \ y) * (y \ x)) \ x = L(x,y \ x,x \ y). x / (x * (y \ x)) = y / x. ((x * y) / y) \ z != u | x \ z = u. x \ y = y * ((x * y) \ y). x * ((y * x) \ x) = y \ x. x / (x * y) = (x / y) / x. (x / y) / x = x / (x * y). x \ (y \ x) = (y * x) \ x. (x * y) \ y = y \ (x \ y). (x * y) * (y \ (x \ y)) = y. ((x \ y) / x) / (x \ y) = (x \ y) / T(y,x). (x * y) \ y != z | T((y * x) \ y,y * x) = z. T((x * y) \ x,x * y) = x \ (y \ x). x \ (y \ x) = (y \ x) \ (y \ (y \ x)). (x \ y) \ (x \ (x \ y)) = y \ (x \ y). T(x,y * x) != z | (x \ (y \ x)) * (y * x) = z. x * y != x / L(z \ 1,z,x) | z = y. x = L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y). L(L(x \ 1,x,y) \ 1,L(x \ 1,x,y),y) = x. x * L(y,y \ 1,x) = x / (y \ 1). (x \ (x / y)) * (x * y) = T(x,y). T(x,y) = (x \ (x / y)) * (x * y). T(K(x,y),z) != u | K(T(x,z),y) = u. a(x,y,x) * K(z,u) = K(z,z \ u). K(x,x \ y) = a(z,u,z) * K(x,y). a(x,y,x) != z * K(u,w) | K(w,w \ u) = z. L(x,y,z) != z \ R(z,u,w) | z \ R(z,u,w) = x. x \ R(x,y,z) = (R(x,y,z) \ x) \ 1. (R(x,y,z) \ x) \ 1 = x \ R(x,y,z). x \ y != L(z,y \ x,x) | (y \ x) \ 1 = z. L(x,y \ z,z) != z \ y | (y \ z) \ 1 = x. L(x \ 1,x,y) * y = x \ y. L(T(x \ 1,y),x,y) = y \ (x \ y). L(x,x \ 1,y) * y = (x \ 1) \ y. (x \ y) * (y \ 1) = L(L(x \ 1,x,y),y,y \ 1). L(L(x \ 1,x,y),y,y \ 1) = (x \ y) * (y \ 1). (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (x \ 1))). (x \ 1) \ (x \ y) = L(x \ 1,x,y) * ((x \ 1) \ y). L(x \ 1,x,y) * ((x \ 1) \ y) = (x \ 1) \ (x \ y). (x \ 1) * K(x,y) = x \ K(x,y). L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). a(K(x,x \ y),z,u) = a(K(x,y),z,u). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,K(y,z \ y)) = K(x,K(z,y)). K(x,K(y,z \ y)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). L(x \ (y \ x),z,u) = L(L(T(y \ 1,x),z,u),y,x). L(L(T(x \ 1,y),z,u),x,y) = L(y \ (x \ y),z,u). L(T(x,y),x \ 1,y) = y \ ((x \ 1) \ y). (x \ y) * (y \ x) = ((x \ y) \ 1) \ (y \ x). ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). x \ ((x \ 1) \ y) = L(x,x \ 1,y) * (x \ y). L(x,x \ 1,y) * (x \ y) = x \ ((x \ 1) \ y). L(x \ (y * K(z,u)),x,K(u,z)) = (K(u,z) * x) \ T(y,K(z,u)). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x,(y * z) / (y * u)) * (y * (u * T(u \ z,x))) = y * z. K(x,y / (x / z)) * (((x \ (y * z)) * x) / z) = y. K(x \ 1,x) * (K(y,y \ 1) * z) = z. K(x \ 1,x) * ((y \ 1) \ 1) = y. (K(x \ 1,x) * y) \ z = y \ ((u * (1 / u)) * z). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (((x \ (y * z)) * x) / z) \ y = K(x,(x / z) \ y). T(L(x,y,z) * (L(x,y,z) \ u),x) \ u = K(x,L(x,y,z) \ u). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != K(y,z / u) * u | u * K(y,u \ z) = x. x * K(y,x \ z) = T(z / x,y) \ z. T(x / y,z) \ x = y * K(z,y \ x). ((x * y) / x) \ z = K(y,x) * (y \ z). (x * K(y,x)) \ z = K(x,y) * (x \ z). x * (y * z) != T(x,y) * u | T(y,x) * z = u. T(x,y) * z != x * (y * u) | T(y,x) * u = z. T(x,y) * (y * z) = x * (y * (K(x,y) * z)). x * (y * (K(x,y) * z)) = T(x,y) * (y * z). x != y * (K(z,y) * u) | ((z * y) / z) * u = x. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. K(x,y) * T(y,z) = y * (K(x,y) * K(y,z)). x * (K(y,x) * K(x,z)) = K(y,x) * T(x,z). L((x / y) \ z,x / y,y) = x \ (K(x,y) * (y * z)). (x * K(y,x)) \ z = x \ (K(x,y) * z). K(x,y) * (K(z,x) * u) = T(x,y) * (K(z,x) * (x \ u)). T(x,y) * (K(z,x) * (x \ u)) = K(x,y) * (K(z,x) * u). T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). x != T(T(y,z),u) | T(T(y,u),z) = x. T(T(x,y),z) = K(x,T(y,z)) * T(x,z). K(x,T(y,z)) * T(x,z) = T(T(x,y),z). a(x,y,x) = K(z,T(u,w)) * K(u,T(z,w)). T(x,T(y,x * z)) = T(x,T(y,z)). K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,y \ 1) = K(x,R(x,z,u) \ (y \ R(x,z,u))). K(x,R(x,y,z) \ (u \ R(x,y,z))) = K(x,u \ 1). L(x \ 1,x,y / x) != z | (x \ y) \ (x \ (y / x)) = z. (x \ y) \ (x \ (y / x)) = L(x \ 1,x,y). L(T(x \ (x / y),z),u,y) = T(L(y \ 1,y,x),z). (x * y) / (x \ (x / y)) = (x * y) * y. T(x \ (x / y),x * y) = x \ (y \ x). L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). x != K(y,K(z,u \ z)) | K(y,K(u,z)) = 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 \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x \ 1,x) * (y * K(z,z \ 1)) = y. x != y * K(z,y \ u) | u * T(u \ y,z) = x. x * T(x \ y,z) = T(x / y,z) \ x. T(x / y,z) \ x = x * T(x \ y,z). x \ (T(y / x,z) \ y) = K(z,x \ y). (x * K(y,x \ z)) \ z = T(x \ z,y). (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * (z * y) = ((x * y) / x) * T(z,y). ((x * y) / x) * T(z,y) = K(x,y) * (z * y). x != y \ (z * 1) | y \ z = x. x \ K(x,y) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ K(x,y). ((x * y) / x) \ 1 = y \ K(y,x). T(T(x,y),z) * K(z,x) = T(x,T(y,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). L(x,y,K(z \ u,u)) = L(x,y,K(z \ 1,u)). L(x,y,K(z \ 1,u)) = L(x,y,K(z \ u,u)). x / T(y,z) = x * T(x \ (x / y),z). x * T(x \ (x / y),z) = x / T(y,z). K(x,T(y \ 1,z)) != u | K(x,z \ (y \ z)) = u. K(x,y \ (z \ y)) = K(x,(z * y) \ y). K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,z)) = K(x,y \ z). x \ (x / T(y,z)) = T(x \ (x / y),z). T(x \ (x / y),z) = x \ (x / T(y,z)). x != K(y,z \ u) | K(y,(u \ z) \ 1) = x. K(x,(y \ z) \ 1) = K(x,T((z / y) \ 1,y)). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). T(x \ (x / L(y,z,u)),w) = x \ (x / L(T(y,w),z,u)). T(T(x \ (x / y),z),x) = x \ (T(y,z) \ x). x \ y != z | T(x,u) \ (K(x,u) * y) = z. T(K(x,y),z) != u | K(x,T(y,z)) = u. K(x,y) * K(K(x,y),z) != u | K(x,T(y,z)) = u. K(x * y,z) != u | K(y * x,T(z,y)) = u. K(T(x,x \ y),z) != u | K(x,T(z,y)) = u. K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. K(x,y * z) * K(z,y) != u | T(y * z,x) \ (z * y) = u. K(x,y) != z | T(y,x) \ y = z. x = L(y \ 1,y,z) \ ((z \ (z / y)) * x). L(x \ 1,x,y) \ ((y \ (y / x)) * z) = z. a(x,y,x) != K(z,T(u,w)) * v5 | K(u,T(z,w)) = v5. L(x \ 1,x,y) * L(((x \ y) \ (x \ (y / x))) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). L(x \ 1,x,y) \ y = x * y. L(x,x \ 1,y) \ y = (x \ 1) * y. T(x \ 1,x * y) = T(x \ 1,y). T(x \ 1,y) = T(x \ 1,x \ y). T(x \ 1,x \ y) = T(x \ 1,y). (x * y) * L(T(T(x \ 1,y),z),u,w) = L(T(x \ 1,z),u,w) * (x * y). T(x \ 1,x \ y) != z | (x \ ((x \ 1) \ y)) \ (x \ y) = z. (x \ ((x \ 1) \ y)) \ (x \ y) = T(x \ 1,y). R(x,x \ 1,y) = L(x,x \ 1,y). T(x,y) * T(L(x,z,u) \ 1,y) = L(T(x,y),z,u) \ T(x,y). K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). T(x \ 1,x / y) = x \ K(x,y). T((x \ 1) * (x / y),x \ K(x,y)) = (x / y) * (x \ 1). (x \ y) * (K(x,y) * z) = (y / x) * z. (x / y) * z = K(y,x) * ((y \ x) * z). K(x,y) * ((x \ y) * z) = (y / x) * z. (x \ y) * (x * y) = (y / x) * (y * x). (x / y) * (x * y) = (y \ x) * (y * x). K(x,y) * ((x / y) * z) = (y \ x) * z. (x / y) * z != K(y,x) * u | (y \ x) * z = u. K(x,y) * z != (y / x) * u | (x \ y) * u = z. (x / y) * z != u * ((y \ x) * z) | K(y,x) = u. x * ((y \ z) * u) != (z / y) * u | K(y,z) = x. ((x / y) * z) \ (K(y,x) * ((y \ x) * (z * u))) = L(L(u,z,y \ x),(y \ x) * z,K(y,x)). x \ ((x / y) * z) = T(x,y) \ ((y \ x) * z). T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z). T(x,y) \ ((y \ x) * z) != u | x \ ((x / y) * z) = u. (x * (y / x)) * (x * z) = y * (T(x,y) * z). K(x,T(1 / (y * z),y)) != u | K(x,1 / (z * y)) = u. K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,y \ T(z,u)) = K(x,y \ ((u \ z) * u)). K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). K(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). K(x,T(y,z) / u) = K(x,((z \ y) * z) / u). K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). K(x,T(((y / z) \ 1) * y,y) / u) = K(x,(((z \ y) \ 1) * y) / u). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). K(x,T(y * z,z) \ u) = K(x,(T(y,z) * z) \ u). K(x,T(y,z)) / z = T(K(x,y) / z,K(x,y)). T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. K(x,T(T(y,z),u)) = K(x,T(T(y,u),z * y)). K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). x * K(y,x \ (z \ 1)) != z \ u | T(z * x,y) = u. x \ y != z * K(u,z \ (x \ 1)) | T(x * z,u) = y. K(x,y \ (y / z)) != u | K(z,x) = u. K(x,(y \ (y / x)) * z) = K(x,z). (x / y) * T(y,z) = x * K(y,z). x != 1 * y | y = x. K(x,y) = (1 / x) * T(x,y). (x / y) * T(y,z) != u | (x * T(y,z)) / y = u. (x * T(y,z)) / y = x * K(y,z). ((x / T(y,z)) / y) * T(y,z) != u | x / y = u. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * T(y,z) = (x * y) * K(y,z). (x * y) * K(y,z) = x * T(y,z). R(x,y,z) * T(y * z,u) = ((x * y) * z) * K(y * z,u). ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). (x * (y * z)) * T(a(x,y,z),u) = ((x * y) * z) * K(a(x,y,z),u). ((x * y) * z) * K(a(x,y,z),u) = (x * (y * z)) * T(a(x,y,z),u). (x * K(y,z)) * y = x * T(y,z). T(x * K(y,z),y) = y \ (x * T(y,z)). ((x / (y * z)) * T(y,z)) \ (x * K(y * z,z)) = L(z,T(y,z),x / (y * z)). ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). (x * K(y,z)) * L(y,u,w) = ((x / y) * L(y,u,w)) * T(y,z). ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). (x * T(K(y,z),u)) * K(z,y) = x * K(K(y,z),u). x / y != z | y * T(z,y) = x. x * T(y * K(x,z),x) = y * T(x,z). x * K(y,z) != u / y | x * T(y,z) = u. x / y != z * K(y,u) | z * T(y,u) = x. K(1 / x,y) / (x \ 1) = x * K(x \ 1,y). (x * K(y,z)) / y = (x / y) * K(y,z). K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. (x / y) * K(z,y) = x / T(y,z). (x / (y \ z)) * K(z / y,y) = x / (z / y). (x * T(y,z)) * K(z,y) = x * y. x != y * T(z,u * y) | u \ (L(z,y,u) * (u * y)) = x. x \ (L(y,z,x) * (x * z)) = (z * y) * K(y,x * z). (x * y) \ (x * T(y,z)) = K(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 * K(y,z)) / a(x / (u * y),u * y,K(y,z)) = (x / (u * y)) * (u * T(y,z)). (x * (y * z)) * K(z,y) = x * T(y * z,y). (x * y) * K(z,y) = x * T(y,z \ y). T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). (x * (y \ z)) * K(u,z \ y) = x * T(y \ z,u). (K(x,K(y,z)) * K(y,T(z,x))) * y != u | T(y,z) = u. T(x,y) = K(z,K(x,y)) * T(x,T(y,z)). K(x,K(y,z)) * T(y,T(z,x)) = T(y,z). L(x,y * K(x,z),u) = (u * (y * K(x,z))) \ (u * (y * T(x,z))). (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). x * T(y,z) != u * y | x * K(y,z) = u. (x * T(y,z)) \ ((x * K(y,z)) * (y * u)) != w | L(u,y,x * K(y,z)) = w. L(x \ L(y,K(x,z),u),x,u * K(x,z)) = (u * T(x,z)) \ (u * (K(x,z) * y)). (x * K(y,z)) * (z * y) = x * T(z * y,z). (x * K(y,z)) * z = x * T(z,y \ 1). (x * K(y,z)) * z = x * T(z,y \ z). x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. (x * T(y,z)) \ y = y \ ((x * K(y,z)) \ y). x \ ((y * K(x,z)) \ x) = (y * T(x,z)) \ x. x * K(y,z) = (x * z) / T(z,y). (x * y) / T(y,z) = x * K(z,y). R(x,y,z) * K(u,y * z) = ((x * y) * z) / T(y * z,u). ((x * y) * z) / T(y * z,u) = R(x,y,z) * K(u,y * z). (x / y) * K(y,z) = x / T(y,z \ y). x / T(y,z \ y) = (x / y) * K(y,z). (x * (y \ x)) * K(z,x \ y) = x / T(x \ y,z). (x * K(y,z)) / z = x / T(z,y). x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). K(x,y) = (1 / T(y,x)) * y. (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. T(x,y) \ x = (1 / T(x,y)) * x. (1 / T(x,y)) * x = T(x,y) \ x. (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. L(x \ T(x,y),x,z) = K(x,y). (x * y) * K(y,z) != u | x * T(y,z) = u. L(K(x,y),x,z) = K(x,y). a(x,y,K(y,z)) = 1. a(x,y,1) = 1. a(x,y,K(z,y)) = 1. L(K(x,y),y,z) = K(x,y). a(x,y,K(y \ 1,z)) = 1. x * T(T(y,z),u) != (T(y,u) * z) * T(y,z) | y * z = x. x * y = (T(x,z) * y) * K(z,T(x,y)). (T(x,y) * z) * K(y,T(x,z)) = x * z. x * y != z * T(y,u) | x * K(u,y) = z. x * T(y,z) != u * y | u * K(z,y) = x. (x \ y) / T(y,z) = L(x \ 1,x,y) * K(z,y). L(x \ 1,x,y) * K(z,y) = (x \ y) / T(y,z). T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. (T(x,y) \ x) / x = 1 / T(x,y). x != 1 / y | (y \ 1) * K(z,z \ 1) = x. (T(x,y) \ 1) * K(z,z \ 1) = (T(x,y) \ x) / x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(z,z \ 1). x != y \ (z * T(y,u)) | T(y,u) * (y \ T(z,T(y,u))) = x. T(x,y) * (x \ T(z,T(x,y))) = T(z * K(x,y),x). x * T(y,z) != u | (x * K(y,z)) * y = u. (x * T(y,z \ y)) * z = (x * y) * T(z,y). (x * K(y,z)) * z = x * (z * K(y,z)). (x * K(y,z)) \ (x * T(z,y \ z)) = z. ((x / y) * K(y,z)) \ x = T(y,z \ 1). x / (y * K(z,y)) = (x / y) * K(y,z). (T(x,y) * z) * T(y,x) = (T(z,T(x,y) \ 1) * x) * y. (T(x,T(y,z) \ 1) * y) * z = (T(y,z) * x) * T(z,y). ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). T((x * y) / T(z,y),z) = z \ (x * T(y,z)). (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. (x \ y) * K(y,z) != u | L(x \ 1,x,y) * T(y,z) = u. T(x,K(y,(x \ z) \ 1)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. K(x \ 1,x) \ ((y \ 1) * z) = (1 / y) * z. K(x \ 1,x) * y != z | (u * (1 / u)) * z = y. (x * (1 / x)) * ((y \ 1) * z) = (1 / y) * z. (x \ y) * K(z,T(x,y)) = T(x,z) \ y. (x \ y) * K(T(z,y),x) = T(x,z) \ y. K(x,y) * ((x * y) \ z) = (y * x) \ z. K(x,y) * z = (y * x) \ ((x * y) * z). (x * y) \ ((y * x) * z) = K(y,x) * z. x * ((y * x) \ z) = T(x,y) * ((x * y) \ z). T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). 1 * (((x \ y) * (y \ x)) \ z) = ((y \ x) * (x \ y)) \ z. K(x,y) * K(y,z) = (y * x) \ (x * T(y,z)). (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) * (K(y,x) * z) = (y * x) * z. (x * T(y,z)) \ (y * x) = K(T(y,z),x) * K(z,T(y,x)). K(T(x,y),z) * K(y,T(x,z)) = (z * T(x,y)) \ (x * z). (x * y) * ((y * x) / y) = (y * x) * x. K(x,y \ z) * T(y,z) != u | T(z \ y,x) * z = u. T(x \ y,z) * x = T(y \ x,z) \ x. T(x \ y,z) \ y = T(y \ x,z) * y. K(x,T(y,z)) * (T(y,x) \ u) = T(T(y,x),T(x,z)) \ u. K(x,y) * (T(y,T(z,u)) \ w) = T(y,x) \ (K(z,T(y,u)) * w). T(x,y) \ (K(z,T(x,u)) * w) = K(y,x) * (T(x,T(z,u)) \ w). K(x,L(x,y,z) * u) != w | K(x,x * u) = w. K(x,x * y) = K(x,y * L(x,z,u)). K(x,y * L(x,z,u)) = K(x,x * y). x != K(y,y * z) | K(y,z) = x. K(x,y) = K(x,y * L(x,z,u)). K(x,y * L(x,z,u)) = K(x,y). K(x,y * (z * x)) = K(x,y * z). (x \ (y * (z * x))) * K(x,y * z) = (y * (z * x)) / x. K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). K(L(x,y,z) * u,x) != w | K(x * u,x) = w. K(x * y,x) = K(y * L(x,z,u),x). K(x * L(y,z,u),y) = K(y * x,y). x != K(L(y,z,u) \ w,y) | K(y \ w,y) = x. K(x \ y,x) = K(y / L(x,z,u),x). K(x / L(y,z,u),y) = K(y \ x,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). K(x * y,z) = K(z \ (x * (y * z)),z). K(x \ (y * (z * x)),x) = K(y * z,x). K(x * (y * z),z) = K(x * y,z). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K(x * (y \ 1),y) = K(y \ x,y). x * K(x * (1 / y),y) = (y \ x) * y. x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). x / (x * a(x,y,z)) = x \ (a(x,y,z) \ x). (x \ (y / x)) / (x \ y) = (x \ y) / T(y,x). ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z) = (((x * y) * z) \ (x * (y * z))) * ((x * (y * z)) \ ((x * y) * z)). (((x * y) * z) \ (x * (y * z))) * ((x * (y * z)) \ ((x * y) * z)) = ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z). K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) = K(y * x,K(y,z)). K(x * y,K(x,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). x * (y * ((x * y) \ z)) = T(x,y) * (y * (T(x * y,y) \ z)). T(x,y) * (y * (T(x * y,y) \ z)) = x * (y * ((x * y) \ z)). x * (y * ((y * x) \ z)) = T(x,y) * (y * ((x * y) \ z)). T(x,y) * (y * ((x * y) \ z)) = x * (y * ((y * x) \ z)). x \ (K(y,x) * T(x,z)) = K(y,x) * K(x,z). K(x \ 1,x) * y != z | K(u,u \ 1) * z = y. K(x,x \ 1) * ((1 / y) \ z) = (y \ 1) \ z. K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). (x / y) \ K(y,y \ x) = (y \ x) \ 1. K((1 / x) * y,z) = K((x \ 1) * y,z). K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). x != L(y,z,K(u \ w,w)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,y,K(u \ 1,z)). L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). 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)). K(x,T((y / z) \ 1,z)) != u | K(x,y \ z) = u. T(T(x \ (x / y),z),x) != u | T(x \ (y \ x),z) = u. T(x \ (y \ x),z) = x \ (T(y,z) \ x). T(x \ (y \ x),K(z,y)) = x \ (y \ x). (x * (T(y,x) * z)) \ ((y * ((x / y) * y)) * z) = a(y * (x / y),y,z). K(x,y * T(z,u)) = K(x,y * ((z \ u) \ u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x,T(y,z) * u) = K(x,((y \ z) \ z) * u). K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). K(x,y \ z) = K(x,T(z,y) / y). K(x,T(y,z) / z) = K(x,z \ y). K(x,y / z) = K(x,z \ T(y,z \ 1)). K(x,y \ T(z,y \ 1)) = K(x,z / y). K(x,y / (z \ u)) = K(x,(z \ u) \ T(y,u \ z)). K(x,(y \ z) \ T(u,z \ y)) = K(x,u / (y \ z)). T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). K(1 / x,y) / (x \ 1) = x * K(1 / x,y). K(x,y) \ (z * T(x,y)) != u | x * T(z,T(x,y)) = u. x * T(y,T(x,z)) = T(y * x,K(x,z)). T(x * y,K(y,z)) = y * T(x,T(y,z)). x != y * T(z,u) | (y * z) * K(z,u) = x. (x * y) * K(y,T(x,z)) = T(y * x,K(x,z)). L(x,T(y,T(z,u)),z) = T(y * z,K(z,u)) \ (z * (T(y,T(z,u)) * x)). T(x * y,K(y,z)) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,T(y,z)),y). T(x * (y \ 1),K(y \ 1,z \ y)) = (y \ 1) * T(x,y \ K(y,z)). (x * (y * z)) * K(z,y) = x * (z * y). (x * K(y,z)) / (y * z) = x / (z * y). x * K(y,z) = (x / (z * y)) * (y * z). (x / (y * z)) * (z * y) = x * K(z,y). x * (y * z) != (x * (z * y)) * u | K(y,z) = u. (x * (y * z)) * u != x * (z * y) | K(z,y) = u. T(x / (y * z),z * y) != u | (z * y) \ (x * K(z,y)) = u. (x * T(y,z)) / (y * z) = (x * y) / (z * y). (x * K(y,z)) * (z * y) = x * (y * z). (x * (y * z)) / (z * y) = x * K(y,z). (x * (y * z)) / (z * y) != u | x * K(y,z) = u. (K(x,y) / x) * (y * x) = (1 / x) * (x * y). x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). (x / y) * K(y / z,z) = x / (z * (y / z)). (x / (y * z)) * z = (x / (z * y)) * T(z,y). (x / (y * z)) * T(y,z) = (x / (z * y)) * y. (x / (y * z)) * y = (x / (z * y)) * T(y,z \ 1). (x / (y * z)) * T(z,y \ 1) = (x / (z * y)) * z. (x * (y * K(z,y))) * z = (x * y) * T(z,y). K(x \ 1,x) * ((1 / y) * z) != u | (y \ 1) * z = u. x != (1 / y) * (y * z) | L(z,y,y \ 1) = x. L(x,y,y \ 1) = (z * (1 / z)) * ((y \ 1) * (y * x)). (x * (1 / x)) * ((y \ 1) * (y * z)) = L(z,y,y \ 1). x != K(y,((z * u) \ z) \ 1) | K(y,u) = x. K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,((y * z) \ y) \ 1). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). K(x,x \ 1) * (y * ((1 / z) \ u)) = y * ((z \ 1) \ u). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K(x,y * (z \ u)) = K(x,y * T(u / z,u)). K(x,y * T(z / u,z)) = K(x,y * (u \ z)). K(x,T(y * (1 / z),z) * u) = K(x,T(y * (1 / z),y) * u). R(x,y,T(z,y)) = ((x * y) * z) / (y * z). ((x * y) * z) / (y * z) = R(x,y,T(z,y)). x != ((y * z) * u) / (z * u) | R(y,z,u) = x. R(x,y,z) = ((x * y) * T(z,y)) / (z * y). R(x,y,z) = R(x,y,T(z,y)). R(x,y,T(z,y)) = R(x,y,z). R(x,y,T(z,y)) != u | R(x,y,z) = u. R(T(x / y,T(z,y)),y,T(y \ z,y)) != u | T(z,y) \ (x * (y \ T(z,y))) = u. T(x,y) \ (z * (y \ T(x,y))) = R(T(z / y,T(x,y)),y,y \ x). R(T(x / y,T(z,y)),y,y \ z) = T(z,y) \ (x * (y \ T(z,y))). R(x,y,y \ z) = R(x,y,z / y). R(x,y,z / y) = R(x,y,y \ z). R(x,T(y,z),T(z,y)) = R(x,T(y,z),z). R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. (x * (y / x)) \ (z * (y / x)) = R(T(z / x,x * (y / x)),x,x \ y). R(T(x / y,y * (z / y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)). R(x,y,z) * (z * y) = (x * y) * T(z,y). L(x,y,y \ 1) = (K(y,x) / y) * (x * y). (K(x,y) / x) * (y * x) = L(y,x,x \ 1). (x * (y / z)) * z = (x * (z \ y)) * T(z,z \ y). (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. (x * T(y,z)) / T(y,z) = R(x,y,K(y,z)). x = R(x,y,K(y,z)). R(x,y,K(y,z)) = x. R(x,y \ z,K(u,z \ y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). (x * y) \ (T(R(z * K(x,z),x,y),u) \ ((x * z) * y)) = K(u,(x * y) \ ((x * z) * y)). K(x * y,x) * (K(x,y) * z) = a(u,w,u) * z. K(x,x * y) * (z * a(u,w,u)) = K(x,y) * z. K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * (a(w,v5,w) * u). K(a(x,y,z),x * (y * z)) * (a(u,w,u) * v5) = K((x * y) * z,x * (y * z)) * v5. K(x,y * (z * (u / z))) = K(x,y * ((z * u) / z)). K(x,y * ((z * u) / z)) = K(x,y * (z * (u / z))). K(x,y * (z / T(u / w,u))) = K(x,y * (z / (w \ u))). K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). K(x,((y * (z * y)) / y) \ u) = K(x,(y * z) \ u). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x * K(y,x \ z) != u | z * T(z \ x,y) = u. L(x \ y,y \ x,z) = L(z \ (z / (y \ x)),y \ x,y). L(x \ (x / (y \ z)),y \ z,y) = L(z \ y,y \ z,x). L(x \ 1,x,y) = L(y \ (y / x),z,L(x,u,w)). L(x \ (x / y),z,L(y,u,w)) = L(y \ 1,y,x). L(L(x \ 1,x,y),x,z) = L(z \ (z / x),x,x \ y). L(x \ (x / y),y,y \ z) = L(L(y \ 1,y,z),y,x). (x / y) \ (y \ ((y \ 1) \ x)) = L(y,y \ 1,x). (x \ (y \ x)) * (y * x) = T(x,y). T(x,y) = (x \ (y \ x)) * (y * x). a(x \ (y \ x),y,x) = T(x,y) \ (((x \ (y \ x)) * y) * x). T(x,y) \ (((x \ (y \ x)) * y) * x) = a(x \ (y \ x),y,x). 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,T(y,z),z) = u. R(x,T(y,z),z) = R(x,y,z). R(x,y \ z,y) = R(x,z / y,y). R(x,y / z,z) = R(x,z \ y,z). x != R(y,z,u) | R(y,z,T(u,z)) = x. R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). R(x,y \ z,y) * z = (x * (z / y)) * y. R(x,y / z,z) != u | R(x,z \ y,z) = u. x / (y * z) != u | (x / (z * y)) * K(z,y) = u. (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y * K(z \ 1,z),u). (x * K(y \ 1,y)) * ((z \ 1) \ 1) = x * z. (x * y) / ((y \ 1) \ 1) = x * K(z \ 1,z). x / ((y \ 1) \ 1) = (x / y) * K(z \ 1,z). (x / y) * K(z \ 1,z) = x / ((y \ 1) \ 1). (x / ((y \ 1) \ 1)) * K(z,z \ 1) = x / y. (x / y) * K(z,z \ 1) = x / (1 / (1 / y)). x * K(y,y \ 1) != z | u * (1 / (1 / (u \ x))) = z. x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)). K(x \ 1,x) * (y / z) = y / (K(u,u \ 1) * z). x / (K(y,y \ 1) * z) = K(u \ 1,u) * (x / z). (x * K(x \ 1,y)) * z = K(x \ 1,y) * (x * z). (K(x,y) * (T(z,u) * w)) * a(K(x,y),T(z,u),w) = (T(T(z,K(y,x)),u) * K(x,y)) * w. K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x \ 1,y),z,x) = K(x \ 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(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). (x * (y * K(x \ 1,z))) / (y * K(x \ 1,z)) = R(x,y,L(K(x \ 1,z),y,x)). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). L(x,y,x) * z = T(x,x * y) * (K(y,x) * z). T(x,x * y) * (K(y,x) * z) = L(x,y,x) * z. K(x,y) * z != u | K(x,x * y) * (z * a(w,v5,w)) = u. K(x,x * y) * ((R(y,z,u) * x) * a(w,v5,w)) = R(y,z,u) * T(x,y). (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). K(x,x * y) * ((L(y,z,u) * x) * a(w,v5,w)) = L(y,z,u) * T(x,y). K(x,T(y,z)) * (y * x) = (y * x) * K(x,T(y,z)). K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,z * u)). (x / (y * x)) * L(z,(y * x) \ x,K(y * x,y \ 1)) = K(y * x,y \ 1) * (((y * x) \ x) * z). x != y * T(z,u \ z) | (y * K(u,z)) * z = x. ((x \ y) * K(z,y \ x)) * (y \ x) = T(y \ x,z \ (y \ x)) * (x \ y). T(x \ y,z \ (x \ y)) * (y \ x) = ((y \ x) * K(z,x \ y)) * (x \ y). (x / y) * (x \ y) = (x \ y) * T(y \ x,y \ 1). (x \ y) * T(y \ x,y \ 1) = (x / y) * (x \ y). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). x * (y \ (y / x)) = (y \ (y / x)) * x. (x \ (x / y)) * y = y * (x \ (x / y)). L(x \ (x / y),y,y \ 1) \ L((x \ (x / y)) * z,y,y \ 1) = L(L(z,x \ (x / y),y),(x \ (x / y)) * y,y \ 1). R(x,y \ z,z \ y) \ ((z \ y) * ((y \ z) * x)) = (y \ z) * (z \ y). x != (y * z) * (z \ 1) | R(y,z,z \ 1) = x. R(x,y,y \ 1) = (y \ 1) * (((x * y) \ x) \ x). (x \ 1) * (((y * x) \ y) \ y) = R(y,x,x \ 1). K(x,y) * (x \ z) != u | ((y * x) / y) \ z = u. ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). K(x,y) * T((y * x) * (y \ z),x) = x \ ((x * y) * (y \ (z * x))). (x / (((y \ (x * z)) * y) / z)) \ u = K(y,x / (y / z)) \ u. ((((x \ (y * z)) * x) / z) \ y) \ 1 != u | K((x / z) \ y,x) = u. x != T(L(y,z,u),w) | L(T(y,w),z,u) = x. L(T(x \ 1,y),x,z) = L(T(z \ (z / x),y),u,x). L(T(x \ (x / y),z),u,y) = L(T(y \ 1,z),y,x). (x * K(y,T(z,u))) * K(z,y) = x * K(K(y,z),u). x * T(x \ y,z) != u | y * K(z,y \ x) = u. (x * (y * ((x * y) \ z))) * T(a(x,y,(x * y) \ z),u) != w | z * K(u,z \ (x * (y * ((x * y) \ z)))) = w. (x * (y \ z)) * K(u,z \ y) != w | x * T(y \ z,u) = w. x * T(y \ x,z) = x / T(x \ y,z). x / T(x \ y,z) = x * T(y \ x,z). x * K(y,y \ 1) != z / u | z / ((u \ 1) \ 1) = x. (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. T(x,T(x,y) \ 1) = (x \ 1) \ 1. (T(x,y) \ 1) * ((x \ 1) \ 1) = x * (T(x,y) \ 1). T(x * K(y,z),y) != u | K(y,z) * T(x,T(y,z)) = u. x * y != z * K(u,y) | z / T(y,u) = x. x / T(y \ 1,x * y) = (y \ 1) \ x. ((x \ 1) \ y) \ y = T(x \ 1,y * x). T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. 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 * ((z \ y) / y)) \ T(u,T(y,z \ 1) \ z)) = K(x,u / (z \ T(y,z \ 1))). (x * (y / z)) * K(z \ y,z) = x * (z \ y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). K(x,y * ((z * (u \ z)) / z)) = K(x,y * (z / u)). K(x,((y * z) / y) \ u) = K(x,(y * (z / y)) \ u). K(x,T(y * z,z \ 1) \ u) = K(x,(z * y) \ u). (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). a(x,y,K(z \ 1,z) * u) = (x * (K(z \ 1,z) * (y * u))) \ ((x * y) * (K(z \ 1,z) * u)). (x * (K(y \ 1,y) * (z * u))) \ ((x * z) * (K(y \ 1,y) * u)) = a(x,z,K(y \ 1,y) * u). (x * (K(y \ 1,y) * z)) \ u = (x * z) \ ((w * (1 / w)) * u). x \ (y / (1 / (1 / z))) = 1 / (1 / (x \ (y / z))). 1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))). (x / (1 / (1 / y))) / z = 1 / (1 / ((x / y) / z)). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,y / ((1 / z) / u)) = K(x,y / ((z \ 1) / u)). K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). ((x \ 1) * K(x,y)) * z = K((x \ 1) \ 1,y) * ((x \ 1) * z). K((x \ 1) \ 1,y) * ((x \ 1) * z) = ((x \ 1) * K(x,y)) * z. x != (y * z) * K(z,T(y,u)) | T(z * y,K(y,u)) = x. T(x * y,K(y,z)) = K(x,T(y,z)) * (y * x). K(x,T(y,z)) * (y * x) = T(x * y,K(y,z)). (x \ y) * (x / y) = (x / y) * (x \ y). (x / y) * (x \ y) = (x \ y) * (x / y). (((x \ y) * (x / y)) / y) * (x \ x) = (x / y) * (x \ ((y / y) * (x \ x))). T(x,K(y,z)) \ ((K(z,y) * x) * u) = x \ ((x * K(z,y)) * u). x != y * (T(y,z) \ 1) | K(z,y) = x. K(x,y) = (T(y,x) \ 1) * ((y \ 1) \ 1). K(x,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,L(x,y,z)). K(x,y * ((z * u) / z)) != w | K(x,y * (z * (u / z))) = w. K(x,y * (z * ((u \ z) / z))) = K(x,y * (z / u)). K(x,T(((y * z) \ y) * (y * z),K(z \ 1,y * z) \ 1) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). x \ y = K(z \ 1,z) * (x \ ((u * (1 / u)) * y)). K(x \ 1,x) * (y \ ((z * (1 / z)) * u)) = y \ u. x \ (y * (K(z \ 1,z) * u)) = K(z \ 1,z) * (x \ (y * u)). (x / (1 / y)) / z = 1 / (1 / ((x / (y \ 1)) / z)). 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. K(x,(y * ((z \ y) / y)) * (u \ 1)) = K(x,(u \ K(y * ((z \ y) / y),u \ 1)) * (y / z)). K(x,(y \ K(z * ((u \ z) / z),y \ 1)) * (z / u)) = K(x,(z * ((u \ z) / z)) * (y \ 1)). ((x / (1 / y)) / z) \ 1 = 1 / ((x / (y \ 1)) / z). 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. (x * T(y,z)) * u != (x * K(y,z)) * y | 1 = u. 1 = a(x,K(y,z),y). a(x,K(y,z),y) = 1. L(x,K(x,y),z) = x. a(x,K(y,z),z) = 1. (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). L(x,K(y,x),z) = x. a(x,K(y,z \ u),u / z) = 1. K(x,y) = R(K(x,y),x \ y,z). R(K(x,y),x \ y,z) = K(x,y). R(K(x,R(y,x \ 1,x)),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,x)). R(x / y,K(z,y),K(z,y) \ 1) / (x / T(y,z)) = K(z,y) \ K((x / y) * K(z,y),K(z,y) \ 1). K(L(x \ y,z,u) \ 1,w) != v5 | L(K(y \ x,w),z,u) = v5. 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) = 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(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). L(K(x,y),y,z) != u | K(x,y) = u. K((x \ y) \ z,z) = K(y \ (x * z),z). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,1,z) | y = x. K(x,y) = K(L(x,1 / x,z),y). K(L(x,1 / x,y),z) = K(x,z). 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). K(x,y) = L(K(x,y),z,x \ 1). L(K(x,y),z,x \ 1) = K(x,y). K(L(x,1 / x,y),z) != u | K(x,z) = u. L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. K(L(x,y * K(x,z),u),w) = L(K(x,w),y * T(x,z),u). L(K(x,y),z * T(x,u),w) = K(L(x,z * K(x,u),w),y). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). K(L(x,x \ 1,y),z) != u | K(x,z) = u. x != (y \ 1) \ (y \ z) | y \ ((y \ 1) \ z) = x. x \ ((x \ 1) \ y) = L(x \ 1,x,y) * ((x \ 1) \ y). L(x \ 1,x,y) * ((x \ 1) \ y) = x \ ((x \ 1) \ y). L((x / y) \ z,x / y,y) = x \ (y * (K(x,y) * z)). x \ (L(y,z,x) * (x * z)) != (z * y) * u | K(y,x * z) = u. a(x,y,z) = a(x,T(y,z),T(z,y)). a(x,T(y,z),T(z,y)) = a(x,y,z). K(x,x \ 1) \ ((1 / y) * z) != u | (y \ 1) * z = u. K(x,x \ 1) * ((y \ 1) * (y * z)) = L(z,y,y \ 1). L(x,y / z,z) = y \ (z * (K(y,z) * ((y / z) * x))). x \ (y * (K(x,y) * ((x / y) * z))) = L(z,x / y,y). x \ (y * ((y \ x) * z)) = L(z,x / y,y). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). L((x / y) \ z,x / y,y) != u | x \ (y * (K(x,y) * z)) = u. x \ (y * (K(x,y) * z)) = L((x / y) \ z,y \ x,y). L((x / y) \ z,y \ x,y) = x \ (y * (K(x,y) * z)). L(x,(y * z) / y,y) = L(x,z,y). L(x,y,z) = L(x,z \ (y * z),z). L(x,y \ (z * y),y) = L(x,z,y). L(x,y,y \ z) = L(x,(y \ z) \ z,y \ z). L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). L(x,y \ (y / z),y) = L(x,y \ (z \ y),y). L(x,y,z) = L(x,T(y,z),z). L(x,T(y,z),z) = L(x,y,z). x != y | L(y,z * u,K(u,z)) = x. L(L(x,y,z),u * w,K(w,u)) = L(x,T(y,z),z). L(T(x,y) \ z,T(x,y),y) != u | (x * y) \ (y * z) = u. (x * y) \ (y * z) = L(T(x,y) \ z,x,y). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). L(x,(y / z) \ 1,z \ 1) = L(x,(z \ y) \ 1,z \ 1). L(x,K(y,T(z,u)),u) = L(x,K(y,z),u). x != y \ (z * L(z \ y,u,w)) | (y \ z) * L((y \ z) \ 1,u,w) = x. ((x * y) \ y) * L(((x * y) \ y) \ 1,z,u) = L(T(x,y) \ L(y \ (x * y),z,u),x,y). L(T(x,y) \ L(y \ (x * y),z,u),x,y) = ((x * y) \ y) * L(((x * y) \ y) \ 1,z,u). x != y \ (z * R(z \ y,u,w)) | (y \ z) * R((y \ z) \ 1,u,w) = x. ((x * y) \ y) * R(((x * y) \ y) \ 1,z,u) = L(T(x,y) \ R(y \ (x * y),z,u),x,y). L(T(x,y) \ R(y \ (x * y),z,u),x,y) = ((x * y) \ y) * R(((x * y) \ y) \ 1,z,u). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). L(K(x,y) * z,y,x) = (y * x) \ (x * (y * z)). (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). (x * y) * L(z,x,y) = y * (T(x,y) * z). (x * y) * L(z,x,y) != u | y * (T(x,y) * z) = u. x * (y * L(z,x,y)) = y * (T(x,y) * L(z,y,x)). x * (T(y,x) * L(z,x,y)) = y * (x * L(z,y,x)). x != y * (T(z,y) * u) | ((z * y) / z) * (z * u) = x. ((x * y) / x) * (x * z) = (x * y) * L(z,x,y). L(x,y,y \ 1) = (y \ 1) * (T(y,y \ 1) * x). (x \ 1) * (T(x,x \ 1) * y) = L(y,x,x \ 1). (x \ 1) * (T(x,x \ 1) * y) != z | L(y,x,x \ 1) = z. (x * (T(y,x) * z)) / z = ((y * x) / z) * L(z,y,x). ((x * y) / z) * L(z,x,y) = (y * (T(x,y) * z)) / z. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. (x / y) \ (x * z) = L((x \ (x / y)) \ z,x \ (y \ x),x). L((x \ (x / y)) \ z,x \ (y \ x),x) = (x / y) \ (x * z). L(x,T(y,z),z) != u | L(x,y,z) = u. L(x,y \ (z * y),y) != u | L(x,z,y) = u. L(x,(y \ z) \ z,y \ z) != u | L(x,y,y \ z) = u. L(x,y,z) != u | L(L(x,y,z),w,x \ 1) = u. L(x,K(y,T(z,u)),u) != w | L(x,K(y,z),u) = w. x * y != (x / z) * (z * u) | L(u,z,x / z) = y. L(x,y,(y * z) / y) = L(x,y,z). L(x,y,z / y) = L(x,y,y \ z). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x \ T(y,z),x,z) != u | (z * x) \ (y * z) = u. (T(x,y) * y) \ (z * T(x,y)) = L(y \ T(z,T(x,y)),y,x). L(x,y,R(T(z,y),u,w)) = L(x,y,R(z,u,w)). (T(x,y) * L(T(x,y) \ z,y,x)) * y = T(x,y) * (y * (T(x * y,y) \ (z * y))). T(x,y) * (y * (T(x * y,y) \ (z * y))) = (T(x,y) * L(T(x,y) \ z,y,x)) * y. L(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). L(x,y \ z,u) = L(x,y \ z,T(u,z \ y)). L(x,y \ z,T(u,z \ y)) = L(x,y \ z,u). L(x,y,z / y) != u | z \ ((z / y) * (y * x)) = u. x \ ((x / y) * (y * z)) = L(z,y,y \ x). L(x \ y,x,z / x) != u | z \ ((z / x) * y) = u. x \ ((x / y) * z) = L(y \ z,y,y \ x). L(x \ y,x,x \ z) = z \ ((z / x) * y). x * L(y,z,z \ x) = (x / z) * (z * y). x * L(y,z,z \ x) != u | (x / z) * (z * y) = u. T((x / y) * z,x) = L(y \ z,y,y \ x) * x. L(x \ y,x,x \ z) * z = T((z / x) * y,z). x \ ((x / y) * (y * z)) != u | L(z,y,y \ x) = u. ((x / y) * (y * z)) \ x = x \ (x / L(z,y,y \ x)). x \ (x / L(y,z,z \ x)) = ((x / z) * (z * y)) \ x. L(x,y,R(T(z,y),y,x)) != u | T(R(z,y,x) * y,y) \ (T(z * y,y) * x) = u. T(R(x,y,z) * y,y) \ (T(x * y,y) * z) = L(z,y,R(x,y,z)). L(x,y \ (z \ y),T(y,z)) = L(x,y \ (z \ y),y). L(x,y,y \ 1) * K(y,z) = (y \ 1) * ((T(y,y \ 1) * x) * K(y,z)). (x \ 1) * ((T(x,x \ 1) * y) * K(x,z)) = L(y,x,x \ 1) * K(x,z). T(x * (y * L(z,x,y)),y) = (T(x,y) * L(z,y,x)) * y. L(x,y,z / y) != u | L(x,y,y \ z) = u. L(x \ (x / y),z,y) != u | L(y \ 1,y,x) = u. L(T(x,y) \ 1,T(x,y),z) = L(z \ (z / T(x,y)),x \ (y \ x),x). L(x \ (x / T(y,z)),y \ (z \ y),y) = L(T(y,z) \ 1,T(y,z),x). L((x \ (x / y)) \ z,x \ (y \ x),x) = (y \ x) \ (x * (K(y \ x,x) * z)). x * K(x * y,y \ 1) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,x \ 1). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). x * K((x \ y) \ 1,z) != u | K((y / x) \ 1,z) * x = u. K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). x \ (y * (z \ T(z * (y \ x),u))) = K((y * (z \ 1)) \ x,u). K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). x \ y != K(z,u) | y * K(u,z) = x. x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). T(x,x * y) * (K(y,x) * z) != u | L(x,y,x) * z = u. L(x,y,x) * (x \ z) = K(x,x * y) * (K(y,x) * z). K(x,x * y) * (K(y,x) * z) = L(x,y,x) * (x \ z). x != L(y,z,y) * (y \ u) | a(w,v5,w) \ u = x. a(x,y,x) \ z = K(u,u * w) * (K(w,u) * z). x * y != a(z,u,z) \ (x * w) | a(v5,v6,v5) \ w = y. a(x,y,x) \ z = K(u,w) * (K(w,w * u) * z). (T(x,T(y \ 1,z)) * y) * z = (T(y,z) * x) * T(z,y). ((x \ y) * (y \ x)) \ z = ((y \ x) * (x \ y)) \ z. x != ((y \ z) * (z \ y)) \ u | ((z \ y) * (y \ z)) \ u = x. ((x \ y) * (y \ x)) \ y = L(y,x \ y,y \ x). (x * ((x \ y) \ (x \ (y / x)))) \ (x \ y) = L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))). L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * ((x \ y) \ (x \ (y / x)))) \ (x \ y). T(((x \ y) * (y \ x)) \ z,((y \ x) * (x \ y)) \ 1) = z / ((y \ x) * (x \ y)). K(x,T(y,z)) * K(z,T(x,y)) = (y * T(x,z)) \ (x * y). T(x,y) * (y * (x \ (x / y))) = x * (y * ((y * x) \ x)). K(x * ((y \ 1) \ z),u) = K(x * ((1 / y) \ z),u). K(x * ((1 / y) \ z),u) = K(x * ((y \ 1) \ z),u). K(x,y * (z * ((z / T(u / w,u)) / z))) = K(x,y * (T(z,T(u / w,u) \ 1) / (w \ u))). K(x,y * (T(z,T(u / w,u) \ 1) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). L(x \ (x / T(y,z)),z \ (y * z),z) = L((y * z) \ z,z \ (y * z),x). T(x,y) * (y * (x \ (x / y))) = x * (y * (x \ (y \ x))). T(x,y) * (y \ (x \ y)) = x * (y \ (y / x)). x != y * (z \ (z / y)) | (z \ (z / y)) * y = x. (x \ (x / y)) * y = T(y,x) * (x \ (y \ x)). T(x,y) * (y \ (x \ y)) = (y \ (y / x)) * x. T(x,y) * (y \ (x \ y)) = ((x \ y) / y) * x. K(x,y) * (x * (y \ (x \ y))) = ((x \ y) / y) * x. K(x,y \ x) * (y * (x \ (y \ x))) = ((y \ x) / x) * y. (x \ (y \ x)) * y = y * (x \ (y \ x)). K(x,y) * (x * ((T(x,y) \ 1) * z)) = L(z,T(x,y) \ 1,x). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(x * R(y,z,u),y) * T(y,x) = R(y,x,R(y,z,u)). x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). K(x,T(y,z)) = K(R(x,z,R(x,u,w)),T(y,z * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). T(x,y) \ ((y * (x \ (y \ x))) * x) = a(x \ (y \ x),y,x). K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * L(z / u,u,u \ 1)). K(x,y * L(z / u,u,u \ 1)) = K(x,y * (L(z,u \ 1,u) / u)). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). L(x,T(y \ 1,z),T(y,z)) = L(x,T(y,z) \ 1,y). L(x,T(y \ 1,z),T(y,z)) = L(x,T(y \ 1,z),y). L(x,T(y \ 1,z),T(y,z)) != u | L(x,T(y,z),T(y,z) \ 1) = u. L(x,T(y,z),T(y,z) \ 1) = L(x,T(y \ 1,z),y). L(x,y,T(z,u) \ 1) != w | L(x,y,T(z \ 1,u)) = w. L(x,T(y,z),T(y \ 1,z)) = L(x,T(y \ 1,z),y). K(x,y) * K(y,z) != u | (y * x) \ (x * T(y,z)) = u. (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). K(R(x,y,R(x,z,u)),w) != v5 | K(x,w) = v5. K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). T(x \ 1,y) * (T(x,y) / z) = (z \ T(x,y)) * T(x \ 1,y). T(x \ 1,y) * R(T((x \ 1) \ 1,x * y),z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),x * y). T(x,(x \ 1) * y) * L(T(x \ 1,y),z,u) = T(x * L(x \ 1,z,u),(x \ 1) * y). T(x \ 1,y) * L(T((x \ 1) \ 1,x * y),z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). (x / (((y / z) \ y) \ 1)) * L(z \ 1,z,y) = (y \ (y / z)) * ((((y / z) \ y) \ 1) \ x). (x \ (x / y)) * ((((x / y) \ x) \ 1) \ z) = (z / (((x / y) \ x) \ 1)) * L(y \ 1,y,x). L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. K(x,T(y,z)) * T(y \ z,y) = T(T(y,y \ z),x) \ z. x != (y / z) * (z * u) | y * L(u,z,z \ y) = x. x * L(R(y \ 1,z,u),y,y \ x) = ((x / y) * y) * R((x / y) \ ((x / y) / y),z,u). ((x / y) * y) * R((x / y) \ ((x / y) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). (x / T(y,z)) * L(x \ (x / T(x \ (x / y),z)),u,w) = x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)). x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x / T(x \ (x / y),z)),u,w). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). (T(x,y) * K(L(x,z,u) \ 1,y)) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). ((x / y) * L(y,z,u)) * T(y,w) != v5 | (x * L(y,z,u)) * K(y,w) = v5. (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). x != (y * K(z,u)) * L(z,w,v5) | y * (K(z,u) * L(z,w,v5)) = x. x * (K(y,z) * L(y,u,w)) = (x * L(y,u,w)) * K(y,z). (x * L(y,z,u)) * K(y,w) = x * (K(y,w) * L(y,z,u)). (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,y). K(x,T(y * (1 / z),z) * u) = K(x,((1 / z) * y) * u). K(x,T(y * (1 / z),z) * u) = K(x,((z \ 1) * y) * u). K(x,T(y * (1 / z),z) * u) != w | K(x,((1 / z) * y) * u) = w. K(x,((1 / y) * z) * u) = K(x,((y \ 1) * z) * u). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). K(x,y \ (z * K(u \ 1,z * u))) = K(x,y \ T(z,u)). K(x,y \ (z * K(u \ 1,z * u))) != w | K(x,y \ T(z,z * u)) = w. K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). K(x,y \ (z * K(((u \ w) \ 1) \ 1,z * ((u \ w) \ 1)))) = K(x,y \ T(z,w \ u)). K(x,y \ T(z,u)) = K(x,y \ T(z,z \ u)). K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). K(x,y \ (z \ T(u,z \ 1))) = K(x,y \ T(u * ((u / z) / u),T(u,z \ 1))). K(x,y \ T(z * ((z / u) / z),T(z,u \ 1))) = K(x,y \ (u \ T(z,u \ 1))). (x / y) \ K(y,y \ x) != z | (y \ x) \ 1 = z. ((((x \ (y * z)) * x) / z) \ y) \ 1 = K(x,y / (x / z)) \ K(((x \ (y * z)) * x) / z,(((x \ (y * z)) * x) / z) \ y). K(x,y / (x / z)) \ K(((x \ (y * z)) * x) / z,(((x \ (y * z)) * x) / z) \ y) = ((((x \ (y * z)) * x) / z) \ y) \ 1. (x * ((x / K(y,z / (y / u))) / x)) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). K((x \ 1) \ 1,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. K(x,y) * ((y \ K(y,x)) * z) = (y \ 1) * z. K(x,y) \ ((x \ K(x,y)) * z) = (x \ 1) * z. K(x,y) * (z * (y \ K(y,x))) = (y \ 1) * T(z,y \ K(y,x)). x \ ((y \ x) * (((y \ x) \ x) * z)) != u | L(z,T(y,y \ x),y \ x) = u. L(x,T(y,y \ K(y,z)),y \ K(y,z)) = (y \ 1) * (((y \ K(y,z)) \ K(y,z)) * x). a(x,y,K(z \ 1,z) * u) = (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u). (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) = a(x,y,K(z \ 1,z) * u). K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). a(x,y,T(z,y)) = a(x,y * K(z,y),z). a(x,y * K(z,y),z) = a(x,y,T(z,y)). K(x,y \ 1) * (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). (K(x,y) * z) \ (z * u) = L(K(y,T(x,z)) * u,K(x,T(y,z)),z). L(K(x,T(y,z)) * u,K(y,T(x,z)),z) = (K(y,x) * z) \ (z * u). T(x,y) \ x = K(y,L(y,z,u) \ x). K(x,L(x,y,z) \ u) = T(u,x) \ u. x != T(y,z) \ y | K(z,y) = x. K(x,y) = K(x,L(x,z,u) \ y). K(x,L(x,y,z) \ u) = K(x,u). (x * (y * K(z,u))) \ (x * (y * T(u,z \ 1))) = L(u,y * K(u,z \ 1),x). K(x,y) * (x * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),x). L(x,T(y \ 1,z),y) != u | T(y,z) * (T(y \ 1,z) * x) = u. L(K(x,T(y,z)) * u,K(y,x),z) = (K(y,x) * z) \ (z * u). (R(T(x,y),z,u) * K(x,w)) * v5 != v6 | (K(x,w) * R(T(x,y),z,u)) * 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) * (T(K(x,y),z) * (y \ u)) = K(x,T(y,z)) * (T(y,x) \ u). x * (T(x,y) \ (K(y,T(x,z)) * u)) = T(K(y,x),z) * (K(y,x) * u). T(x * (y \ 1),K(y,y \ z)) = (y \ 1) * T(x,y \ K(y,z)). T(x * (y \ 1),K(y,z)) = (y \ 1) * T(x,y \ K(y,z)). (x \ 1) * T(y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)). (x \ 1) * T(y,x \ K(x,z)) != u | K(z,x) * (y * (x \ K(x,z))) = u. K(x,y) * (z * (y \ K(y,x))) = T(z * (y \ 1),K(y,x)). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != K(y,(z / u) \ 1) | K(y,u / z) = x. K(x,y / (z * x)) = (z * (x * ((z \ y) / x))) / y. (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. L(x \ (x / T(y,z)),y \ (z \ y),y) = L(T(y \ 1,z),T(y,z),x). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),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 * (L(z,u \ 1,u) / u)) != w | K(x,y * L(z / u,u,u \ 1)) = w. K(x,y * L(z / u,u,u \ 1)) = K(x,y * (z * (u \ 1))). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). x != K(y,T(z,u)) * (T(z,y) \ w) | T(T(z,y),T(y,u)) \ w = x. T(T(x,y),T(y,z)) \ u = K(y,x) * (T(K(y,x),z) * (x \ u)). K(x,y) * (T(K(x,y),z) * (y \ u)) = T(T(y,x),T(x,z)) \ u. K(x,y) * (K(x,T(y,z)) * (y \ u)) = T(T(y,x),T(x,z)) \ u. K(x,y) * (T(y,T(x,z)) \ u) = T(T(y,x),T(x,z)) \ u. x * (K(y,x) * (T(x,T(y,z)) \ u)) = T(K(y,x),z) * (K(y,x) * u). L(T(x \ (x / y),z),y \ (z \ y),y) = L(T(y \ 1,z),T(y,z),x). T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. (x \ y) * (y \ x) = T((x \ y) * (y \ x),z). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). T((x \ y) * (y \ x),z) * u != (x \ y) * (y \ x) | 1 = u. 1 = K(x,(y \ z) * (z \ y)). K(x,(y \ z) * (z \ y)) = 1. T(x,(y \ z) * (z \ y)) = x. K(x,y * ((z * y) \ z)) = 1. T(x,((y \ z) * (z \ y)) \ 1) = x. K(x * ((y * x) \ y),z) = 1. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). x \ ((x * y) * (y \ (y * ((x * y) \ x)))) = K(((x * y) * (y \ 1)) \ x,z). K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * (y \ (y * ((x * y) \ x)))). x * (T(T(x,y),T(y,z)) \ u) = T(K(y,x),z) * (K(y,x) * u). T(K(x,y),z) * (K(x,y) * u) = y * (T(T(y,x),T(x,z)) \ u). T(x,y) * (x * z) != u | x * (T(x,y) * z) = u. K(x,y) * (T(K(x,y),z) * u) = y * (T(T(y,x),T(x,z)) \ u). L(T(x \ (x / y),z),u,y) != w | L(T(y \ 1,z),y,x) = w. L(T(x \ 1,y),x,z) = L(T(x \ 1,y),T(x,y),z). L(T(x \ 1,y),T(x,y),z) = L(T(x \ 1,y),x,z). L(L(T(x \ 1,y),x,z),x,y) = L(y \ (x \ y),T(x,y),z). L(L(T(x \ 1,y),z,u),x,y) != w | L(y \ (x \ y),z,u) = w. L(x \ (y \ x),y,z) = L(x \ (y \ x),T(y,x),z). L(x \ (y \ x),T(y,x),z) = L(x \ (y \ x),y,z). (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). a(x * (y / x),x,z) != u | a(y,T(x,y),z) = u. K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(x,y). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(x,y). (x / y) \ ((y \ x) * ((x \ y) * (x / y))) = (x \ y) * (y \ x). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(x,y,T(z,u)) = L(L(x,y,z),z * y,K(z,u)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. K(x,y / x) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). K(x,y) * (((x / y) * (x \ 1)) * y) = y * ((x \ 1) * (x / y)). L(x \ (x / y),x,L(y,z,u)) = L(y \ 1,y,L(y,z,u) * x). L(x \ (x / y),z,L(y,u,w)) != v5 | L(y \ 1,y,x) = v5. L(x \ 1,x,y) = L(x \ 1,x,L(x,z,u) * y). L(x \ 1,x,L(x,y,z) * u) = L(x \ 1,x,u). L(x \ 1,x,y) = L(x \ 1,x,L(x,z,u) \ y). L(x \ 1,x,L(x,y,z) \ u) = L(x \ 1,x,u). (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * R(y,z,u)). (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * y) \ (x * L(y,z,u)). (x * y) * L(T(T(x \ 1,z),u),w,v5) != v6 | x * (y * L(T(T(x \ 1,z),u),w,v5)) = v6. x * (y * L(T(T(x \ 1,y),z),u,w)) = L(T(x \ 1,z),u,w) * (x * y). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). T(x \ y,z \ (x \ y)) * (y \ x) = T(y \ x,z) * (x \ y). x != T(y \ z,u) * (z \ y) | (z \ y) * T(y \ z,u) = x. (x \ y) * T(y \ x,z) = T(x \ y,z \ (x \ y)) * (y \ x). T(x \ y,z \ (x \ y)) * (y \ x) = (x \ y) * T(y \ x,z). T(x \ y,z \ 1) * (y \ x) = (x \ y) * T(y \ x,z). T(x \ y,z) * (y \ x) != u | (y \ x) * T(x \ y,z) = u. (x \ y) * T(y \ x,z \ 1) = (y \ x) * T(x \ y,z). (x \ y) * (x / y) = (y \ x) * T(x \ y,x). (x \ y) * T(y \ x,y) = (y \ x) * (y / x). ((x \ y) * (x / y)) / y = (x / y) * (x \ ((y / y) * (x \ x))). (x / y) * (x \ ((y / y) * (x \ x))) = ((x \ y) * (x / y)) / y. (x / y) * (x \ (1 * (x \ x))) = ((x \ y) * (x / y)) / y. ((x \ y) * (x / y)) / y = (x / y) * (x \ (1 * (x \ x))). ((x \ y) * (x / y)) / y = (x / y) * (x \ 1). ((x / y) * (x \ 1)) * y = (x \ y) * (x / y). T((x / y) * (x \ 1),y) != z | y \ ((x \ y) * (x / y)) = z. K(x,y) * ((x \ y) * (x / y)) = y * ((x \ 1) * (x / y)). (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). L(T(x \ (x / y),z),z \ (y * z),z) = L((y * z) \ z,z \ (y * z),x). K(((x * y) * (y \ 1)) \ x,z) = x \ ((x * y) * ((x * y) \ x)). x != y \ (z * (z \ y)) | 1 = x. 1 = K(((x * y) * (y \ 1)) \ x,z). K(((x * y) * (y \ 1)) \ x,z) = 1. K(L(x,y,y \ 1) \ x,z) = 1. K(a(x,x \ 1,y),z) = 1. T(a(x,x \ 1,y),z) = a(x,x \ 1,y). x / a(y,y \ 1,z) != u | a(y,y \ 1,z) \ x = u. (x \ y) * R((x \ y) \ 1,z,u) != w | x \ (y * R(y \ x,z,u)) = w. x \ ((x / y) * R((x / y) \ x,z,u)) = (x * y) \ (x * R(y,z,u)). x \ ((x / y) * R(y,z,u)) = (x * y) \ (x * R(y,z,u)). (x * y) \ (x * R(y,z,u)) = x \ ((x / y) * R(y,z,u)). (x \ y) * L((x \ y) \ 1,z,u) != w | x \ (y * L(y \ x,z,u)) = w. x \ ((x / y) * L((x / y) \ x,z,u)) = (x * y) \ (x * L(y,z,u)). x \ ((x / y) * L(y,z,u)) = (x * y) \ (x * L(y,z,u)). (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). T(x * L(y,z,u),x * y) / (x * y) = x \ ((x / y) * L(y,z,u)). L(x \ L(x,y,z),x,u) = u \ ((u / x) * L(x,y,z)). L(x \ ((x / y) * L(y,z,u)),x * y,w) = (w * (x * y)) \ (w * (x * L(y,z,u))). (x \ ((x / y) * L(y,z,u))) * (x * y) != w | T(x * L(y,z,u),x * y) = w. x != y \ ((y / z) * u) | L(z \ u,z,z \ y) = x. L(x \ L(x,y,z),x,x \ u) = L(x \ L(x,y,z),x,u). x * L(y \ L(y,z,u),y,x) = (x / y) * L(y,z,u). L(x \ L(x,y,z),x,u) != u \ w | (u / x) * L(x,y,z) = w. x * (y * T(y \ L(y,z,u),x * y)) = (x \ ((x / y) * L(y,z,u))) * (x * y). (x \ ((x / y) * L(y,z,u))) * (x * y) = x * (y * T(y \ L(y,z,u),x * y)). L(x \ L(x,y,z),x,z * y) = (z * y) \ ((z * (y * x)) / x). (x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x) = L(x \ L(x,y,z),x,u) \ T(L(x,y,z),x). K(L(x \ L(x,y,z),x,u),w) != v5 | K(w,((u / x) * L(x,y,z)) \ u) = v5. ((x / y) * L(y,z,u)) / (y \ L(y,z,u)) = (x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x). (x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x) = ((x / y) * L(y,z,u)) / (y \ L(y,z,u)). ((x / y) * L(y,z,u)) \ x = x \ (x / L(y \ L(y,z,u),y,x)). x \ (x / L(y \ L(y,z,u),y,x)) = ((x / y) * L(y,z,u)) \ x. L(T(x \ L(x,y,z),u),x,x \ w) = T(L(x \ L(x,y,z),x,w),u). L(x \ L(y,z,u),x,u * z) != w | ((u * z) * x) \ (u * (z * y)) = w. ((x * y) * z) \ (x * (y * z)) = (x * y) \ ((x * (y * z)) / z). L(((x * y) \ ((x * (y * z)) / z)) \ 1,((x * y) * z) \ (x * (y * z)),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). L(T(x \ L(x,y,z),u),x,w) = L(T(x \ L(x,y,z),u),x,x \ w). L(T(x \ L(x,y,z),u),x,x \ w) = L(T(x \ L(x,y,z),u),x,w). x \ (x / L(T(y \ L(y,z,u),w),y,x)) = ((x / y) * (y * T(y \ L(y,z,u),w))) \ x. ((x / y) * (y * T(y \ L(y,z,u),w))) \ x = x \ (x / L(T(y \ L(y,z,u),w),y,x)). x * (L(T(x \ 1,y),z,u) * w) = L(T(x \ 1,y),z,u) * (x * w). L(T(x \ 1,y),z,u) * (x * w) = x * (L(T(x \ 1,y),z,u) * w). L(1 / (x \ 1),y,z) * ((x \ 1) * u) = (x \ 1) * (L(T((x \ 1) \ 1,x),y,z) * u). (x \ 1) * (L(T((x \ 1) \ 1,x),y,z) * u) = L(1 / (x \ 1),y,z) * ((x \ 1) * u). (x \ (y \ x)) * (y * z) = y * (L(T(y \ 1,x),y,x) * z). x * (L(T(x \ 1,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). a(x \ (y \ x),y,z) = (y * ((x \ (y \ x)) * z)) \ (((x \ (y \ x)) * y) * z). (x * ((y \ (x \ y)) * z)) \ (((y \ (x \ y)) * x) * z) = a(y \ (x \ y),x,z). L(T(x \ (x / y),z),y,z) = L((y * z) \ z,z \ (y * z),x). L(T(x \ (x / y),z),y,z) = L(z \ (y \ z),z \ (y * z),x). L(T(x \ (x / y),z),y,z) = L(z \ (y \ z),T(y,z),x). L(T(x \ (x * (y \ x)),z),x \ y,z) = L(z \ ((x \ y) \ z),T(x \ y,z),x). ((x / (y * z)) * z) \ (x * K(z * y,y)) = L(y,T(z,y),x / (z * y)). ((x / (y * z)) * z) \ (x * K(z,y)) = L(y,T(z,y),x / (z * y)). L(x,T(y,x),z / (y * x)) = ((z / (x * y)) * y) \ (z * K(y,x)). L((x \ (x / y)) \ z,x \ (y \ x),x) != u | (x / y) \ (x * z) = u. (x / y) \ (x * z) = (y \ x) \ (x * (K(y \ x,x) * z)). (x \ y) \ (y * (K(x \ y,y) * z)) = (y / x) \ (y * z). (x \ y) \ (y * (K(y,x) * z)) = (y / x) \ (y * z). (x \ y) \ (T(y,x) * z) = (y / x) \ (y * z). x != ((y * z) / z) \ u | y \ u = x. x \ ((x * y) * z) = (y \ (x * y)) \ (T(x * y,y) * z). (x \ (y * x)) \ (T(y * x,x) * z) = y \ ((y * x) * z). T(x,y) \ (T(x * y,y) * z) = x \ ((x * y) * z). a(x,y,z) = ((y * z) * x) \ (R(x,y,z) * T(y * z,x)). a(x,y,z) != ((y * z) * x) \ u | R(x,y,z) * T(y * z,x) = u. ((x * y) * z) \ u != a(z,x,y) | R(z,x,y) * T(x * y,z) = u. (x * ((y \ (x \ y)) * z)) \ ((x * (y \ (x \ y))) * z) = a(y \ (x \ y),x,z). a(x,y \ (x \ y),z) = a(y \ (x \ y),x,z). a(x \ (y \ x),y,z) = a(y,x \ (y \ x),z). (x \ (x / y)) * R((x \ (x / y)) \ 1,z,u) = (x * R(T(y,x),z,u)) / (y * x). (x \ (x / y)) * L((x \ (x / y)) \ 1,z,u) = (x * L(T(y,x),z,u)) / (y * x). x != (y * T(z,u)) \ (y * (K(z,u) * w)) | L(z \ w,T(z,u),y) = x. L(x \ y,T(x,z),u) = L(x \ L(y,K(x,z),u),x,u * K(x,z)). L(x \ L(y,K(x,z),u),x,u * K(x,z)) = L(x \ y,T(x,z),u). x = R(x,y,L(K(x \ 1,z),y,x)). R(x,y,L(K(x \ 1,z),y,x)) = x. R(x,y,K(x \ 1,z)) = x. R(x,y,K(x,z)) = x. R(T(x,y),z,K(x,u)) = T(x,y). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). x \ (y * K(x,z)) = (x \ y) * K(x,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)). T(x,y) \ (z * K(x,u)) = (T(x,y) \ z) * K(x,u). (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. a(x * y,z,K(y,x)) = 1. a(x,y,K(z,x)) = 1. L(K(x,y),z,y) = K(x,y). L(K(x,y),z,y * x) = K(x,y). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,z),z) = K(x,z). L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w. K(x \ (y * z),y) = K((y \ x) \ z,y). K((x \ y) \ z,x) = K(y \ (x * z),x). (x * y) * K(z,x) = x * (y * K(z,x)). 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). 1 / K(x,y) = K(y,L(x,z,y)). K(x,L(y,z,x)) = 1 / K(y,x). ((x * y) * z) * K(y,x) = (x * y) * (z * K(y,x)). x != 1 / K(y,z) | K(z,y) = x. K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). 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). x != y * K(y,z) | T(y,z) = x. T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). T(x,L(y,z,x)) != u | T(x,y) = u. T(x,L(L(y,z,x),u,w)) = T(x,L(y,u,w)). L(x,y,z) * T(z,x) = z * L(x,y,z). T(x,T((x * y) \ z,u)) = T(x,T(y \ (x \ z),u)). T(x * K(y,z),y) / y = (y \ x) * K(y,z). T(x / T(y,z),y) = (y \ x) * K(z,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). L(x,y,z) * T(u,x) != w | T(L(x,y,z) * u,x) = w. T(L(x,y,z) * z,x) = z * L(x,y,z). x != (y \ z) * K(T(u,z),y) | T(y,u) \ z = x. T(x,y) \ z = T(z / T(x,T(y,z)),x). T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / (y * z),z * y) = ((z * y) \ x) * K(z,z * y). ((x * y) \ z) * K(x,x * y) = T(z / (y * x),x * y). (x \ y) * T(x,z) = T(y * K(x,z),x). T(x * K(y,z),y) = (y \ x) * T(y,z). x != L(K(y,z),u * y,w) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = K(L(x,y,z),L(u,w,x)). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). L(K(x,y),z,T(x,u)) = K(x,y). (x \ 1) * (T(x,x \ 1) * (y * K(x,z))) = L(y,x,x \ 1) * K(x,z). ((x * y) \ z) * K(x,y) = T(z / (y * x),x * y). T(x / (y * z),z * y) = ((z * y) \ x) * K(z,y). (x * y) \ (z * K(x,y)) = ((x * y) \ z) * K(x,y). L(x,y,y \ 1) * K(y,z) != u | L(x * K(y,z),y,y \ 1) = u. T(x,((y \ z) * (z \ y)) \ 1) != u | x = u. ((x \ y) * (y \ x)) \ z = z / ((y \ x) * (x \ y)). x / ((y \ z) * (z \ y)) = ((z \ y) * (y \ z)) \ x. (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 | K(y * R(x,z,u),x) * K(x,y) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). K(R(x,y,z) * u,x) * K(x,u) = a(x,u,R(x,y,z)). K(x,y) * K(R(x,z,u) * y,x) = a(x,y,R(x,z,u)). K(x,y) * z != a(u,w,R(u,v5,v6)) | K(x * y,x) = z. K(x * y,x) = K(R(x,z,u) * y,x). K(R(x,y,z) * u,x) = K(x * u,x). x != K(y * z,y) | K(z,y) = x. K(x,y) = K(R(y,z,u) * x,y). K(R(x,y,z) * u,x) = K(u,x). K((x * y) * z,x) = K(y * z,x). T(R(x,y,z) * u,x) = (R(x,y,z) * u) * K(u,x). (R(x,y,z) * u) * K(u,x) = T(R(x,y,z) * u,x). T((x * y) * z,K(y * z,x)) = (x * y) * z. R(x,y,z) * T(u,x) = T(R(x,y,z) * u,x). T(R(x,y,z) * u,x) = R(x,y,z) * T(u,x). L(T(x \ y,z),y \ x,z) = L(z \ ((y \ x) \ z),T(y \ x,z),y). L(x \ ((y \ z) \ x),T(y \ z,x),y) = L(T(z \ y,x),y \ z,x). L(x \ (y \ x),T(y,x),z) != u | L(x \ (y \ x),y,z) = u. L(x \ ((y \ z) \ x),y \ z,y) = L(T(z \ y,x),y \ z,x). ((x \ y) * (y \ x)) * ((x \ y) \ z) = z * L(T(y \ x,z),x \ y,z). x != y * L(T(z,y),u,w) | L(z,u,w) * y = x. L(x \ y,y \ x,z) * z = ((y \ x) * (x \ y)) * ((y \ x) \ z). x \ ((x / y) * R((x / y) \ x,z,u)) = (x * R(T(y,x),z,u)) / (y * x). x \ ((x / y) * R(y,z,u)) = (x * R(T(y,x),z,u)) / (y * x). (x * R(T(y,x),z,u)) / (y * x) = x \ ((x / y) * R(y,z,u)). (R(x,y,z) * u) / (x * u) = u \ ((u / x) * R(x,y,z)). x \ ((x / y) * L((x / y) \ x,z,u)) = (x * L(T(y,x),z,u)) / (y * x). x \ ((x / y) * L(y,z,u)) = (x * L(T(y,x),z,u)) / (y * x). (x * L(T(y,x),z,u)) / (y * x) = x \ ((x / y) * L(y,z,u)). (L(x,y,z) * u) / (x * u) = u \ ((u / x) * L(x,y,z)). (x \ ((x \ 1) \ y)) / ((x \ 1) * ((x \ 1) \ y)) = ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)). ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / ((x \ 1) * ((x \ 1) \ y)). L(K(x,T(y,x \ y)) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). x != (y * z) * T(L(u,z,y),w) | y * (z * T(u,w)) = x. x * (y * T(z,u)) = (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u). (x * (y * z)) * K(((x * (y * z)) \ (x * y)) \ 1,u) = x * (y * T(z,u)). (x * (y * z)) * K((x * y) \ (x * (y * z)),u) = x * (y * T(z,u)). (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). K(x,y) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,y). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). K(x,y) = K(x,L(y,x,z)). K(x,L(y,x,z)) = K(x,y). K(x,(y * x) \ z) = K(x,x \ (y \ z)). K(x \ y,y \ (x * z)) = K(x \ y,(x \ y) \ z). K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). K(x,y) * (L(y,x,z) * x) = x * L(y,x,z). K(x,(y * x) \ z) != u | K(x,y \ z) = u. K(x,y) * (L(y,z,u) * x) != w | L(y,z,u) * T(x,y) = w. L(x,y,z) * T(y,x) = y * L(x,y,z). T(x,L(y,x,z)) = T(x,y). T(L(x,y,z) * 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)). (x * L(y,x,z)) / y = y \ (L(y,x,z) * x). (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. (x / y) * L(y,x,z) = y \ (L(y,x,z) * x). x \ (L(x,y,z) * y) = (y / x) * L(x,y,z). L(x,y,z) * (x \ y) = (y / x) * L(x,y,z). K(x \ y,z) = K(x \ y,y \ (x * z)). K(x \ y,y \ (x * z)) = K(x \ y,z). K(K(x \ y,z),(y \ (x * T(x \ y,z))) \ u) = K(y \ (x * T(x \ y,z)),(x * T(x \ y,z)) \ (y * u)). K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),(x \ (y * T(y \ x,z))) \ u). x != K(y \ z,u) | K(u,z \ y) = x. K(x,y \ z) = K(z \ y,y \ (z * x)). K(x \ y,y \ (x * z)) = K(z,y \ x). K(x,y \ z) * (y \ (z * x)) = T(y \ (z * x),y \ z). ((x \ y) \ z) \ z = T(x \ y,y \ (x * z)). T(x \ y,y \ (x * z)) = ((x \ y) \ z) \ z. K(x,((y \ x) \ z) \ z) = K(x,T(y \ x,y * z)). K(x,T(y \ x,y * z)) = K(x,((y \ x) \ z) \ z). x != K(y,(z \ u) \ u) | K(y,T(z,u)) = x. 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)). L(T(K(x,y),z) \ u,T(K(x,y),z),K(y,x) * z) = z \ ((K(y,x) * z) * u). L(K(T(x,y),z) * u,T(K(z,x),y),K(x,z) * y) = y \ ((K(x,z) * y) * u). L(K(x,T(y,z)) * u,T(K(y,x),z),K(x,y) * z) = z \ ((K(x,y) * z) * u). L(K(x,T(y,z)) * u,K(y,T(x,z)),K(x,y) * z) = z \ ((K(x,y) * z) * u). x != (T(y,z) * L(u,z,y)) * z | T(y * (z * L(u,y,z)),z) = x. T(x * (y * L(T(x,y) \ z,x,y)),y) = T(x,y) * (y * (T(x * y,y) \ (z * y))). (T(x,y) * K(y,L(x,z,u))) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). L(K(x,y) \ z,T(K(x,y),x \ y),x \ y) = (y / x) \ ((x \ y) * z). L(K(x,y) * z,T(K(y,x),y \ x),y \ x) = (x / y) \ ((y \ x) * z). L(K(x,y) * z,K(y,x),y \ x) = (x / y) \ ((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) * ((x \ y) * (x / y))) != z | (x \ y) * (y \ x) = z. (x \ y) * (y \ x) = K(x,y) * ((x \ y) * (x / y)). K(x,y) * ((x \ y) * (x / y)) = (x \ y) * (y \ x). K(x,y) * ((x \ y) * (x / y)) != z | y * ((x \ 1) * (x / y)) = z. x * ((y \ 1) * (y / x)) = (y \ x) * (x \ y). x * ((y \ 1) * (y / z)) != u | x * ((z \ y) * (y \ 1)) = u. x * ((x \ y) * (y \ 1)) = (y \ x) * (x \ y). x / ((y \ x) * (x \ y)) = ((y \ 1) * (y / x)) \ 1. ((x \ 1) * (x / y)) \ 1 = y / ((x \ y) * (y \ x)). x != y / ((z \ u) * (u \ z)) | ((u \ z) * (z \ u)) \ y = x. ((x \ y) * (y \ x)) \ x = ((y \ 1) * (y / x)) \ 1. ((x \ 1) * (x / y)) \ 1 = ((y \ x) * (x \ y)) \ y. x != ((y \ z) * (z \ y)) \ y | L(y,z \ y,y \ z) = x. L(x,y \ x,x \ y) = ((y \ 1) * (y / x)) \ 1. L(x,y \ x,x \ y) = ((x \ y) * (y \ 1)) \ 1. L(x \ y,x,(x \ y) \ (x \ (y / x))) = (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1. (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,(x \ y) \ (x \ (y / x))). T(x * (y * ((x * y) \ (y * z))),y) = T(x,y) * (y * (T(x * y,y) \ (z * y))). T(x,y) * (y * (T(x * y,y) \ (z * y))) = T(x * (y * ((x * y) \ (y * z))),y). (T(x,y) * (y * (T(x * y,y) \ (z * y)))) / y = y \ (x * (y * ((x * y) \ (y * z)))). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). K(a(x,y,z),x * (y * z)) * (1 * u) = K((x * y) * z,x * (y * z)) * u. K(a(x,y,z),x * (y * z)) * u = K((x * y) * z,x * (y * z)) * u. K((x * y) * z,x * (y * z)) * u = K(a(x,y,z),x * (y * z)) * u. K(x,(y * ((z \ y) / y)) \ T(u,z / y)) = K(x,u / (z \ T(y,z \ 1))). (x \ 1) * (L(T((x \ 1) \ 1,x),y,z) * u) = L(x,y,z) * ((x \ 1) * u). (x \ 1) * (L(T(x,x),y,z) * u) = L(x,y,z) * ((x \ 1) * u). (x \ 1) * (L(x,y,z) * u) = L(x,y,z) * ((x \ 1) * u). L(x,y,z) * ((x \ 1) * u) = (x \ 1) * (L(x,y,z) * u). (x * (y * ((x * y) \ (z * y)))) / y = y \ (x * (y * ((x * y) \ (y * z)))). x * L(x \ y,z,x) = z \ (x * (z * ((x * z) \ (z * y)))). x \ (y * (x * ((y * x) \ (x * z)))) = y * L(y \ z,x,y). (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 * K(y,y \ z)) * (z / y)) / 1 = x * ((y * (z / y)) / y). (x * K(y,y \ z)) * (z / y) = x * ((y * (z / y)) / y). (x * y) \ (R(T(z * K(x,z),u),x,y) \ ((x * z) * y)) = K(u,(x * y) \ ((x * z) * y)). L(T(x,y) \ L(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * L(((x * y) \ y) \ 1,z,u). L(T(x,y) \ R(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * R(((x * y) \ y) \ 1,z,u). (x \ (x / y)) * ((((x / y) \ x) \ 1) \ z) = (z / (y \ 1)) * L(y \ 1,y,x). (x \ (x / y)) * ((y \ 1) \ z) = (z / (y \ 1)) * L(y \ 1,y,x). (x \ (x / y)) * z != u | L(y \ 1,y,x) * z = u. L(x \ 1,x,y) * ((x \ 1) \ z) = (z / (x \ 1)) * L(x \ 1,x,y). x * R((x / y) \ ((x / y) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). x != y \ (y / L(T(z,u),w,v5)) | T(y \ (y / L(z,w,v5)),u) = x. T(x \ (x / L(y \ L(y,z,u),y,x)),w) = ((x / y) * (y * T(y \ L(y,z,u),w))) \ x. (x * y) * K(z,(x * y) \ ((x * u) * y)) != w | R(T(u * K(x,u),z),x,y) \ ((x * u) * y) = w. L(T(x,y) \ L(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * L((y \ (x \ y)) \ 1,z,u). L(T(x,y) \ R(y \ (x * y),z,u),x,y) = (y \ (x \ y)) * R((y \ (x \ y)) \ 1,z,u). T(((x / y) * L(y,z,u)) \ x,w) = ((x / y) * (y * T(y \ L(y,z,u),w))) \ x. ((x / y) * (y * T(y \ L(y,z,u),w))) \ x = T(((x / y) * L(y,z,u)) \ x,w). x != (y \ z) * L((y \ z) \ 1,u,w) | y \ (z * L(z \ y,u,w)) = x. x \ ((y \ x) * L((y \ x) \ x,z,u)) = L(T(y,x) \ L(x \ (y * x),z,u),y,x). L(T(x,y) \ L(y \ (x * y),z,u),x,y) = y \ ((x \ y) * L((x \ y) \ y,z,u)). L(T(x,y) \ L(y \ (x * y),z,u),x,y) = y \ (L(x,z,u) * (x \ y)). L(T(x,y) \ L(T(x,y),z,u),x,y) = y \ (L(x,z,u) * (x \ y)). L(T(x,y) \ z,x,y) != u | (x * y) \ (y * z) = u. (x * y) \ (y * L(T(x,y),z,u)) = y \ (L(x,z,u) * (x \ y)). (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). ((x \ 1) * y) \ (x \ y) = y \ (L(x \ 1,x,y) * ((x \ 1) \ y)). x \ (L(y \ 1,y,x) * ((y \ 1) \ x)) = ((y \ 1) * x) \ (y \ x). (x * y) \ ((x \ 1) \ y) = y \ (L(x,x \ 1,y) * (x \ y)). x \ (L(y,y \ 1,x) * (y \ x)) = (y * x) \ ((y \ 1) \ x). x \ (y \ ((y \ 1) \ x)) = (y * x) \ ((y \ 1) \ x). (x * y) \ ((x \ 1) \ y) = y \ (x \ ((x \ 1) \ y)). x \ (y \ ((y \ 1) \ x)) = ((y \ 1) * x) \ (y \ x). ((x \ 1) * y) \ (x \ y) = y \ (x \ ((x \ 1) \ y)). (x \ y) / (y \ (x \ ((x \ 1) \ y))) = (x \ 1) * y. ((x \ 1) * (x * y)) \ y = (x * y) \ (x \ ((x \ 1) \ (x * y))). (x * y) \ (x \ ((x \ 1) \ (x * y))) = ((x \ 1) * (x * y)) \ y. (x * y) \ (x \ ((x \ 1) \ (x * y))) = L(y,x,x \ 1) \ y. x != L(y,z,z \ 1) \ y | a(z,z \ 1,y) = x. a(x,x \ 1,y) = (x * y) \ (x \ ((x \ 1) \ (x * y))). (x * y) \ (x \ ((x \ 1) \ (x * y))) = a(x,x \ 1,y). (x * y) \ (x \ ((x \ 1) \ (x * y))) != z | a(x,x \ 1,y) = z. (x * y) \ (x \ (x * ((x \ 1) \ y))) = a(x,x \ 1,y). (x * y) \ ((x \ 1) \ y) = a(x,x \ 1,y). (x * y) * a(x,x \ 1,y) = (x \ 1) \ y. (x * y) \ ((x \ 1) \ y) != z | y \ (x \ ((x \ 1) \ y)) = z. x \ (y \ ((y \ 1) \ x)) = a(y,y \ 1,x). (x \ ((x \ 1) \ y)) / a(x,x \ 1,y) = y. x \ (y \ ((y \ 1) \ x)) != z | ((y \ 1) * x) \ (y \ x) = z. ((x \ 1) * y) \ (x \ y) = a(x,x \ 1,y). a(x,x \ 1,y) = a(x,x \ 1,x * y). a(x,x \ 1,x * y) = a(x,x \ 1,y). (x \ y) / a(x,x \ 1,y) = (x \ 1) * y. a(x,x \ 1,y) = a(x,x \ 1,x \ y). a(x,x \ 1,x \ y) = a(x,x \ 1,y). a(1 / x,x,(1 / x) \ y) = a(1 / x,(1 / x) \ 1,y). a(1 / x,(1 / x) \ 1,y) = a(1 / x,x,(1 / x) \ y). a(x,x \ 1,y) \ (x \ ((x \ 1) \ y)) = y. a(x,x \ 1,y) \ (x \ y) = (x \ 1) * y. (x \ ((x \ 1) \ y)) / y != z | a(x,x \ 1,y) = z. x != a(1 / y,z,u) | a(y \ 1,z,u) = x. a(x \ 1,x,(1 / x) \ y) = a(1 / x,(1 / x) \ 1,y). a(x \ 1,x,(x \ 1) \ y) = a(1 / x,(1 / x) \ 1,y). a(x,x \ 1,(x \ 1) \ y) = a(1 / x,(1 / x) \ 1,y). a(1 / x,(1 / x) \ 1,y) = a(x,x \ 1,(x \ 1) \ y). a(1 / x,y,z) != u | a(x \ 1,y,z) = u. a(x \ 1,(1 / x) \ 1,y) = a(x,x \ 1,(x \ 1) \ y). a(x \ 1,x,y) = a(x,x \ 1,(x \ 1) \ y). a(x,x \ 1,(x \ 1) \ y) = a(x \ 1,x,y). x != a(y \ 1,y,z) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = a(x,x \ 1,(x \ 1) \ y). a(x,x \ 1,(x \ 1) \ y) = a(x,x \ 1,y). a(x,x \ 1,y) = a(x,x \ 1,(x \ 1) * y). a(x,x \ 1,(x \ 1) * y) = a(x,x \ 1,y). a(x,x \ 1,((x \ 1) \ 1) * ((y * ((x \ 1) \ 1)) \ z)) = a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)). a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,((x \ 1) \ 1) * ((y * ((x \ 1) \ 1)) \ z)). a(x,x \ 1,x * y) != z | a(x,x \ 1,y) = z. x != (y \ z) * R((y \ z) \ 1,u,w) | y \ (z * R(z \ y,u,w)) = x. x \ ((y \ x) * R((y \ x) \ x,z,u)) = L(T(y,x) \ R(x \ (y * x),z,u),y,x). L(T(x,y) \ R(y \ (x * y),z,u),x,y) = y \ ((x \ y) * R((x \ y) \ y,z,u)). L(T(x,y) \ R(y \ (x * y),z,u),x,y) = y \ (R(x,z,u) * (x \ y)). L(T(x,y) \ R(T(x,y),z,u),x,y) = y \ (R(x,z,u) * (x \ y)). (x * y) \ (y * R(T(x,y),z,u)) = y \ (R(x,z,u) * (x \ y)). (x * y) \ (R(x,z,u) * y) = y \ (R(x,z,u) * (x \ y)). (x * y) \ (R(x,z,u) * y) != y \ w | R(x,z,u) * (x \ y) = w. (x * (L(y,z,u) \ y)) \ (K(x,y) * (y * (x * (L(y,z,u) \ 1)))) = a(x,y,L(y,z,u) \ 1). (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = ((y \ z) * K(y,x)) * y. ((x / y) * z) \ ((x / y) * (z * u)) = L(L(u,z,y \ x),(y \ x) * z,K(y,x)). L(L(x,y,z \ u),(z \ u) * y,K(z,u)) = ((u / z) * y) \ ((u / z) * (y * x)). L(x,y,z / u) = L(L(x,y,u \ z),(u \ z) * y,K(u,z)). L(L(x,y,z \ u),(z \ u) * y,K(z,u)) = L(x,y,u / z). L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(z,y \ z)) = L(x,y,(y \ z) / z). L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(y,z)) = L(x,y,(y \ z) / z). L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(y,z)) = L(x,y,z \ (z / y)). K(x,y * (T(z,T((u / w) \ 1,u)) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). (x * (L(y,z,u) \ y)) \ (y * (K(x,y) * (x * (L(y,z,u) \ 1)))) = a(x,y,L(y,z,u) \ 1). x != (y * K(z,u)) * z | y * T(z,u) = x. (x \ y) * T(x,z) = (((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) * T(y,x). (K(x,y) * ((((x * y) / x) \ z) * y)) * (((x * y) / x) \ y) = (y \ z) * T(y,x). (K(x,y) * ((((x * y) / x) \ z) * y)) * K(y,x) = (y \ z) * T(y,x). T((((x * y) / x) \ z) * y,K(y,x)) = (y \ z) * T(y,x). (x * (L(y,z,u) \ y)) \ (y * (T(x,y) * (L(y,z,u) \ 1))) = a(x,y,L(y,z,u) \ 1). (x * (L(y,z,u) \ y)) \ (y * T(x * (L(y,z,u) \ 1),y)) = a(x,y,L(y,z,u) \ 1). (x * (L(y,z,u) \ y)) \ ((x * (L(y,z,u) \ 1)) * y) = a(x,y,L(y,z,u) \ 1). a(x,L(y,z,u) \ 1,y) = a(x,y,L(y,z,u) \ 1). x \ (y * (K(z \ 1,z) * u)) != w | K(z \ 1,z) * (x \ (y * u)) = w. K(x \ 1,x) * ((y * (K(x \ 1,x) * (z * u))) \ ((y * z) * u)) = a(y,z,K(x \ 1,x) * u). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). x != a(y,z,y) * K(u,w) | K(w * u,w) = x. K(x * y,x) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). (x * (y * (K(z \ 1,z) * u))) \ ((x * (K(z \ 1,z) * y)) * u) != w | a(x,y * K(z \ 1,z),u) = w. a(x,y * K(z \ 1,z),u) = a(x,y,K(z \ 1,z) * u). a(x,K(y \ 1,y) * z,u) = a(x,z,K(y \ 1,y) * u). (((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)). (L(x \ 1,x,y) * ((x \ (y / x)) \ 1)) \ 1 = L(x \ y,x,L(x \ 1,x,y)). K(x \ 1,x) * ((y * (z * u)) \ ((w * (1 / w)) * ((y * z) * u))) = a(y,z,K(x \ 1,x) * u). K(x \ 1,x) * (y \ ((z * (1 / z)) * u)) != w | y \ u = w. (x * (y * z)) \ ((x * y) * z) = a(x,y,K(u \ 1,u) * z). a(x,y,K(z \ 1,z) * u) = (x * (y * u)) \ ((x * y) * u). a(x,y,z) = a(x,y,K(u \ 1,u) * z). a(x,y,K(z \ 1,z) * u) = a(x,y,u). a(x,y,K(z \ 1,z) * u) != w | a(x,y,u) = w. a(x,y,K(z \ 1,z) * u) != w | a(x,K(z \ 1,z) * y,u) = w. a(x,K(y \ 1,y) * z,u) = a(x,z,u). a(x,y,z) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). a(x,y \ 1,z) = a(x,1 / y,z). a(x,1 / y,z) = a(x,y \ 1,z). T(x \ 1,y) * R(T(x,x * y),z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),x * y). T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * R(T(x,x * u),y,z). T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * R(T(x,u),y,z). T(x \ 1,y) * L(T(x,x * y),z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * L(T(x,x * u),y,z). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ 1,u) * L(T(x,u),y,z). (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)). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) != z | y \ 1 = z. x \ 1 = (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y). (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. (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. L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = (x \ y) \ ((x \ (y / x)) * L(x,z,u)). R(x / y,K(z,y),K(y,z)) / (x / T(y,z)) = K(z,y) \ K((x / y) * K(z,y),K(z,y) \ 1). K(x,y) \ K((z / y) * K(x,y),K(x,y) \ 1) = R(z / y,K(x,y),K(y,x)) / (z / T(y,x)). (x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x) = L(x \ L(x,y,z),x,u) \ L(x,y,z). K(x,T(((y * z) \ y) * (y * z),K(y * z,z \ 1)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). K(x,T(((y * z) \ y) * (y * z),K(z,y * z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). (x * ((x * K(y / (z / u),z)) / x)) \ T(x,(y / (((z \ (y * u)) * z) / u)) \ 1) = K(z,y / (z / u)). L(x \ y,(x \ (y / x)) \ (x \ y),(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y). L(x \ y,x,(x \ y) \ (x \ (y / x))) = (x * L(x \ 1,x,y)) \ (x \ y). L(x \ y,x,L(x \ 1,x,y)) = (x * L(x \ 1,x,y)) \ (x \ y). (x * L(x \ 1,x,y)) \ (x \ y) = L(x \ y,x,L(x \ 1,x,y)). K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),K(y \ x,z) \ u). K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(K(y \ x,z),K(z,y \ x) * u). ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = (x \ ((x \ 1) \ y)) / y. a(x,x \ 1,y) = ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)). ((x \ 1) \ y) \ ((((x \ 1) \ y) / (x \ 1)) * L(x \ 1,x,y)) = a(x,x \ 1,y). ((x \ 1) \ y) \ (((x \ 1) \ (y / (x \ 1))) * L(x \ 1,x,y)) = a(x,x \ 1,y). a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,x * ((y * ((x \ 1) \ 1)) \ z)). a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,x * ((y * x) \ z)). x != a(y,y \ 1,y * z) | a(y,y \ 1,z) = x. a(x,x \ 1,(y * x) \ z) = a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)). a(x,x \ 1,L((x \ 1) * (y \ z),(x \ 1) \ 1,y)) = a(x,x \ 1,(y * x) \ z). a(x,x \ 1,L((x \ 1) * (y \ z),x,y)) = a(x,x \ 1,(y * x) \ z). (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),(x * y) \ (x * (y * z))). T(a(x,y,z),(x * y) \ (x * (y * z))) = (x * (y * z)) \ ((x * y) * z). a(x,y,z) = T(a(x,y,z),(x * y) \ (x * (y * z))). T(a(x,y,z),(x * y) \ (x * (y * z))) = a(x,y,z). T(a(x,y,z),L(z,y,x)) = a(x,y,z). T(L(x,y,z),a(z,y,x)) = L(x,y,z). T(x,a(y,z,x)) = x. T(a(x,y,z),z) = a(x,y,z). a(x,y,z) * z = z * a(x,y,z). a(x,y,z) / z = z \ a(x,y,z). L(x \ y,x,a(z,u,x)) = (x * a(z,u,x)) \ (a(z,u,x) * y). (x * a(y,z,x)) \ (a(y,z,x) * u) = L(x \ u,x,a(y,z,x)). a(x,y,z) != T(u,z) | a(x,y,z) = u. T(x,y) != a(z,u,y) | a(z,u,y) = x. L(x \ 1,x,a(y,z,x)) = a(y,z,x) \ (x \ a(y,z,x)). a(x,y,z) \ (z \ a(x,y,z)) = L(z \ 1,z,a(x,y,z)). (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). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). x != ((y * (z / u)) / y) * u | u * ((y * (u \ z)) / y) = x. ((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u) = (((u * (1 / R(x,y,z))) / u) * R(x,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | (y * ((u * (y \ w)) / u)) * z = x. ((x * y) * ((z * ((x * y) \ y)) / z)) * u = (((z * (1 / R(x,y,u))) / z) * R(x,y,u)) * (y * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. x * (y * z) != (u * y) * z | R(u,y,z) = x. R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). R(K(x,y),x,z) != u | K(x,y) = u. K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). R(K(x,y),z,u) = K(x,R(y \ 1,z,u) \ 1). K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). R(K(x,y / z),u,w) = K(x,R(z / y,u,w) \ 1). K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. 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,x / (y / z)) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,x / (z / y)). x != K(y,y / z) | K(y,z \ y) = x. K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,y) = R(K(x,y),z,y). R(K(x,y),z,y) = 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)). R(x,x \ y,z) != u | (y * z) / ((x \ y) * z) = u. (x * y) / ((K(z,y) \ x) * y) = K(z,y). K(x,R(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. L(x,K(y,x) \ z,K(y,x)) = (((z * x) / ((K(y,x) \ z) * x)) * (K(y,x) \ z)) \ (z * x). (((x * y) / ((K(z,y) \ x) * y)) * (K(z,y) \ x)) \ (x * y) = L(y,K(z,y) \ x,K(z,y)). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). R(K(x,(y / z) / (u * x)),y / z,z) != w | ((u * (x * ((u \ (y / z)) / x))) * z) / y = w. ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). x * ((y * z) * u) != (K(z,y) * (y * z)) * u | K(z,y) = x. K(x,y) = K(x,R(y,x,z)). K(x,R(y,x,z)) = K(x,y). T(x,R(y,x,z)) = x * K(x,y). T(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = T(x,y). T(x,(y * z) / (x * z)) = T(x,y / x). x != T(y,z / y) | T(y,y \ z) = x. T(x,x \ y) = T(x,(y * z) / (x * z)). T(x,(y * z) / (x * z)) = T(x,x \ y). T(x,y / (x * z)) = T(x,x \ (y / z)). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),R(x,y,z) \ u). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). x != K(y,z / (u * z)) | K(y,1 / u) = x. K(x,1 / (y * x)) = K(x,z / ((y * z) * x)). K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). K(x,y / ((z * y) * x)) != u | K(x,1 / (z * x)) = u. K(x,y / (z * x)) = K(x,1 / ((z / y) * x)). K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). K(x,((x * y) * z) / ((u * y) * z)) = K(x,R(u / x,x * y,z) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5. R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). (K(x,y) * (K(x,y) \ z)) \ (z * y) = L(y,K(x,y) \ z,K(x,y)). x \ (x * y) = L(y,K(z,y) \ x,K(z,y)). L(x,K(y,x) \ z,K(y,x)) = z \ (z * x). x != y \ (y * z) | z = x. x = L(x,K(y,x) \ z,K(y,x)). L(x,K(y,x) \ z,K(y,x)) = x. L(x,y,K(z,x)) = x. L(x,y,T(z,L(x,y,z))) = L(x,y,z). L(x,y,K(z,L(x,u,w))) = x. L(x,y,K(z \ 1,u)) != w | L(x,y,K(u,z)) = w. L(x,y,K(x,z)) = x. (K(x,y) * z) / y = K(x,y) * (z / y). (R(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,R(x,K(y,z),u * z)). L(x * y,z,K(x,y)) = x * y. K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). (K(x,y) * z) * x = K(x,y) * (z * x). (K(x,y) * z) / x = K(x,y) * (z / x). L(x,y,T(z,L(L(x,y,z),u,w))) = L(x,y,z). L(x,y,T(z,x)) = L(x,y,z). L(x,y,L(T(z,x),u,w)) = L(x,y,L(z,u,w)). L(x,y,x \ z) = L(x,y,z / x). L(x,y,z / x) = L(x,y,x \ z). L(x,y,L(x \ z,u,w)) = L(x,y,L(z / x,u,w)). L(x,y,L(z / x,u,w)) = L(x,y,L(x \ z,u,w)). L(x,y,R(x \ z,u,w)) = L(x,y,R(z / x,u,w)). L(x,y,R(z / x,u,w)) = L(x,y,R(x \ z,u,w)). L(x,y,R(T(z,x * u),x,u)) = L(x,y,(x * u) \ ((x * z) * u)). L(x,y,(x * z) \ ((x * u) * z)) = L(x,y,R(T(u,x * z),x,z)). L(x,y,z * x) = L(x,y,x * z). R(K(x,y),z,x) = K(x,y). x != K(y,z) * (u * y) | T(y,z) * T(u,y) = x. T(x,y) * T(z,x) = (K(x,y) * z) * x. (K(x,y) * z) * x = T(x,y) * T(z,x). x * T(K(x,y) * z,x) = K(x,y) * (z * x). x * ((y * z) * u) != (K(w,y) * (y * z)) * u | K(w,R(y,z,u)) = x. K(x,R(y,z,x)) = K(x,y). (x \ y) * x = K(x,z) * ((T(x,z) \ y) * x). K(x,y) * ((T(x,y) \ z) * x) = (x \ z) * x. R(K(x,(y / z) / u),z \ y,z) != w | K(x,y / (u * z)) = w. K(x,y / (z * x)) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,y / (z * x)). R(K(x,y / (z / u)),y,u) != w | K(x,(y * u) / z) = w. K(x,(y * x) / z) = K(x,y / (z / x)). R(K(x,y),T(y * (1 / x),x),z) = K(x,R(y,x \ 1,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. L(x,y,T(z,L(x,u,w))) = L(x,y,z). x * y != K(x,z) * (u * x) | K(x,z) * T(u,x) = y. K(x,y) * T(z,x) = T(K(x,y) * z,x). T(K(x,y) * z,x) = K(x,y) * T(z,x). x != K(y,z) * T((z * y) * (z \ u),y) | y \ ((y * z) * (z \ (u * y))) = x. x \ ((x * y) * (y \ (z * x))) = T(K(x,y) * ((y * x) * (y \ z)),x). T(K(x,y) * ((y * x) * (y \ z)),x) = x \ ((x * y) * (y \ (z * x))). x != K(y \ z,y) * T(u,y \ z) | (z / y) \ (u * (y \ z)) = x. (x / y) \ (z * (y \ x)) = T(K(y \ x,y) * z,y \ x). T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). T(x,y) = K(y,z) * T(K(y,z) \ x,y). K(x,y) * T(K(x,y) \ z,x) = T(z,x). T(K(x,y) * (x / z),x) = K(x,y) * (z \ x). T(T(x,y) * z,x) = K(x,y) * T(x * z,x). K(x,y) * T(x * z,x) = T(T(x,y) * z,x). T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). K(x,y) * T(z,y) = T(K(y,x) \ z,y). T(K(x,y) \ z,x) = K(y,x) * T(z,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 * T(x \ y,z)) / y = K(y / (x * K(z,u)),z). K(x / (y * K(z,u)),z) = (y * T(y \ x,z)) / x. x \ (y * T(y \ x,z)) = K((y * K(z,u)) \ x,z). K((x * K(y,z)) \ u,y) = u \ (x * T(x \ u,y)). T(K(x,y) * z,y) = K(x,y) * T(z,y). K(x,y) * T(z,T(x,y)) = T(z,x) * K(x,y). x != T(T(y,z),u) * K(u,y) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(T(x,y) * K(z,x),z). T(T(x,y) * K(z,x),z) = T(x,T(y,z)). T(K(x,y) * K(z,u),z) = K(x,T(y,z)) * K(z,u). T(x * K(y,L(x,z,u)),y) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). x != K(y,z) * T(u,z) | T(z,y) \ (u * z) = x. T(x,y) \ (z * x) = T(K(y,x) * z,x). T(K(x,y) * z,y) = T(y,x) \ (z * y). T(K((x \ y) \ y,z) * u,z) = K(x,T(z,y)) * T(u,z). (x \ y) * T(K(x,x \ y) * z,x \ y) = (y / x) * T(z,x \ y). x * T(y,T(z,x)) = T(y,z) * T(x,y). T(x,y) * T(z,x) = z * T(x,T(y,z)). x != T(y,z) \ ((z * (y \ (z \ y))) * y) | a(y \ (z \ y),z,y) = x. a(x \ (y \ x),y,x) = T(K(y,x) * (y * (x \ (y \ x))),x). T(K(x,y) * (x * (y \ (x \ y))),y) = a(y \ (x \ y),x,y). K(x,y) * (z * x) = z * T(x,T(y,z)). K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). x \ ((y \ x) * y) = K(T(y,z) \ x,y). K(T(x,y) \ z,x) = z \ ((x \ z) * x). x != y \ ((z \ y) * z) | K(z \ y,z) = x. K(x \ y,x) = K(T(x,z) \ y,x). K(T(x,y) \ z,x) = K(x \ z,x). K(x \ (x * y),z) != u | K(y,z) = u. K(x,y) = K(y \ (T(y,z) * x),y). K(x \ (T(x,y) * z),x) = K(z,x). K(T(x,y) * z,x) = K(z,x). K(K(x,y) * z,x) = K(z,x). K(x * y,T(x,z)) = K(y,T(x,z)). K(K(x,y) * z,y) = K(z,y). K(K(x,y \ 1) * z,y) = K(z,y). K((x * y) * z,x) = K((y * x) * z,x). K((x * y) * z,y) = K((y * x) * z,y). K(T(x,y) \ z,y) = K(x \ z,y). K(x * y,z) = K(T(x,z) * y,z). K(T(x,y) * z,y) = K(x * z,y). K(x \ y,z) = K(x \ T(y,z),z). K(x \ T(y,z),z) = K(x \ y,z). K(x * K(y,z),z) = K(x,z). K(x * T(y,z),z) = K(x * y,z). K(x * K(y,z),y) = K(x,y). K(x * K(y \ 1,z),y) = K(x,y). K(x * K(y \ z,u),z \ y) = K(x,z \ y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). a(x,y,x) = K(z * u,T(z,w)) * K(z,T(u,w)). T(K(x,y \ 1) * z,y) = (K(x,y \ 1) * z) * K(z,y). (K(x,y \ 1) * z) * K(z,y) = T(K(x,y \ 1) * z,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 * y)),y) = K(x \ z,y). K(x \ (y * z),z) = K(x \ (z * y),z). K(x \ ((y \ z) * y),y) = K(x \ z,y). K(x * (1 / ((y * z) \ y)),z) = K((1 / ((y * z) \ y)) * x,z). K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). x != K(y,z) | z / T(z,y) = x. x / T(x,y) = K(y * K(x \ 1,z),x). K(x * K(y \ 1,z),y) = y / T(y,x). a(x,y,x) = K(z,z \ (u \ (z * w))) * K(u \ (w * z),z). T(x,y * K(x \ 1,z)) = T(x,y). T(x,y * K(z,x)) = T(x,y). T(x,y * K(x,z)) = T(x,y). T(x,y) = T(x,K(x,z) * y). T(x,K(x,y) * z) = T(x,z). T(x,K(y,x) * z) = T(x,z). T(x,y / (z / x)) = T(x,y / (x \ z)). T(x,y * (x \ z)) = T(x,y * (z / x)). T(x,y * (z / x)) = T(x,y * (x \ z)). K(T(x,y),z) = K(x,T(z,y * K(x,u))). K(x,T(y,z * K(x,u))) = K(T(x,z),y). T(x,T(y,x) \ z) = T(x,y \ z). x * K(x,y) = T(x,K(x,z) * y). T(x,K(x,y) * z) = x * K(x,z). T(x,K(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(T(x,y),z) = T(T(x,z),K(u,x) * y). T(T(x,y),K(z,x) * u) = T(T(x,u),y). T(T(x,y),K(z,x) * u) = T(T(x,y),u). K(x,K(x,y) * z) = K(x,z). T(x,K(x,y) * z) != u | T(x,z) = u. K(x,K(y,x) * z) = K(x,z). K(x,x \ y) = K(x,T(x,z) \ y). K(x,T(x,y) \ z) = K(x,x \ z). K(x,(x * y) * z) = K(x,(y * x) * z). K(x,(y * x) * z) = K(x,(x * y) * z). K(x,T(y,x) \ z) = K(x,y \ z). K(x,y * z) = K(x,T(y,x) * z). K(x,T(y,x) * z) = K(x,y * z). K(x,T(y,z)) = K(x,T(y,T(z,x))). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,(y * x) \ z) = K(x,(x * y) \ z). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,y * z) = K(x,y * (K(u,x) * z)). K(x,y * (K(z,x) * u)) = K(x,y * u). K(x,y * K(z,x)) = K(x,y). K(x,T(y,x) / z) = K(x,y / z). K(x,y * K(x,z)) = K(x,y). K(x \ y,z * K(y \ x,u)) = K(x \ y,z). K(x,y / z) = K(x,y / T(z,x)). K(x,y / T(z,x)) = K(x,y / z). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y / (x * z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / (x * (z / x))) = K(x,y / z). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). x != K(y,y \ z) | K(y,z) = x. K(x,y) = K(x,T(x,z) \ y). K(x,T(x,y) \ z) = K(x,z). K(x,y) = K(y,T(y,z) / x). K(x,T(x,y) / z) = K(z,x). K(x / T(y,z),y) = K(x,y). K(x,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x,y). ((x * T(y,z)) \ y) * K(x,y) = y / (x * T(y,z)). K(x,((y \ x) \ x) \ z) = K(x,y \ z). K(x,y \ z) = K(x,T(y,x \ 1) \ z). K(x,T(y,x \ 1) \ z) = K(x,y \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ (x \ (z * x))) = K(x,y \ z). K(x,(x \ y) / z) = K(x,(y / x) / z). K(x,(y / x) / z) = K(x,(x \ y) / z). K(x,y / ((x \ z) * x)) = K(x,y / z). K(x,T(y,z)) = K(x,T(y,z * K(x,u))). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). (x * y) / T(T(x,y),z) = K(z,x) * y. T(T(x,y),T(z,x) / u) = T(T(x,y),z / u). x != K(y,(y * z) \ u) | K(y,z \ (y \ u)) = x. K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,(x * y) \ z) != u | K(x,y \ z) = u. K(T(x,y),z * (T(x,T(u,y)) \ w)) = K(T(x,y),z * (x \ w)). K(x,y / (z / x)) != u | K(x,(y * x) / z) = u. K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,y / ((z * u) * x)) != w | K(x,y / ((z * x) * u)) = w. K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(T(x,y),K(z,x) * u) = K(x,T(u,y)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). x != K(y,z \ (y * u)) | K(y,(y \ z) \ u) = x. K(x,(x \ y) \ z) = K(x,y \ (z * x)). K(x,(y / x) / z) != u | K(x,y / (z * x)) = u. 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 * (u / x))) = K(x,T(y,z * (x \ u))). (K(x,y) * z) \ (y * z) = T(T(y,z),x). (K(x,y) * z) * K(u,T(T(y,z),x)) = (y * z) / T(T(T(y,z),x),u). K(x,(y * x) \ z) != u | (y * ((x \ (y \ z)) * x)) \ z = u. (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). K(x,(y * x) \ z) != u | K(x,x \ (y \ z)) = u. K(x,x \ (y \ z)) = K(x,y \ (x \ z)). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). K(T(x,y),T(x,z) \ u) = K(x,T(x \ u,y)). x != K(y,z / ((y \ u) * y)) | K(y,z / u) = x. K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,T(y \ (T(x,z) \ u),z)) = K(T(x,z),T(x,z) \ (y \ u)). K(T(x,y),T(x,y) \ (z \ u)) = K(x,T(z \ (T(x,y) \ u),y)). K(x,(x \ y) \ (x \ z)) != u | K(x,y \ z) = u. K(x,y \ z) = K(x,x \ ((x \ y) \ z)). K(x,x \ ((x \ y) \ z)) = K(x,y \ z). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). x / K(y,y \ (z \ u)) = x * K(z \ (y \ u),y). K(x,y / (x \ z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,y \ (x * z)) = K(x,y \ z). x != K(y,z) | K(y,y * z) = x. K(x,x * (y \ z)) = K(x,y \ (x * z)). K(x,y \ (x * z)) = K(x,x * (y \ z)). K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. K(x,y \ (z * x)) = K(x,y \ z). K(x,y \ (x * z)) != u | K(x,x * (y \ z)) = u. x != K(y,z \ u) | K(u \ z,y) = x. K(x \ y,z) = K(z,y \ (x * z)). K(x,y \ (z * x)) = K(z \ y,x). K(x,x * (y \ z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,x * (y \ z)). K(x,x \ (y * x)) != z | K(x,y) = z. x != K(y,z) | K(z,y \ z) = x. K(x,(y \ z) \ x) = K(x,z \ (y * x)). K(x,y \ (z * x)) != u | K(x,y \ z) = 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) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). K(x,(y \ L(y,z,u)) \ x) != w | K(x,(x / L(y,z,u)) * y) = w. K(x,(x / L(y,z,u)) * y) = K(x,L(y,z,u) \ (y * x)). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). K(x,T(y,z) \ x) = K(x,(y * z) \ (z * x)). K(x,(y * z) \ (z * x)) = K(x,T(y,z) \ x). K(x,y / (x \ z)) != u | K(x,(y * x) / z) = u. K(x,(y * x) / z) = K(x,(z / y) \ x). K(T(x,x \ y),z / T(x \ y,x)) = K(T(x,x \ y),(y / z) \ T(x,x \ y)). K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(T(x,x \ y),z / T(x \ y,x)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). K(x,x * y) * T(x * L(y,z,u),x) != w | L(y,z,u) * T(x,y) = w. 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). K(x,x * y) * T(x * R(y,z,u),x) != w | R(y,z,u) * T(x,y) = w. R(x,y,z) * T(u,x) = T(T(u,u * x) * R(x,y,z),u). T(T(x,x * y) * R(y,z,u),x) = R(y,z,u) * T(x,y). K(x,y) * T(x * R(x \ z,u,w),x) != v5 | T(x,y) * R(x \ T(z,x),u,w) = v5. T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). K(x,y) * (z * x) = T(T(x,y) * z,x). T(T(x,y) * z,x) = K(x,y) * (z * x). T((x \ 1) * y,x \ K(x,z)) = K(x \ K(x,z),z) * (y * (x \ K(x,z))). K(x \ K(x,y),y) * (z * (x \ K(x,y))) = T((x \ 1) * z,x \ K(x,y)). T(x,T(y,z)) = T(T(x,K(y,z)),y). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). K(x,y) * z != T(T(u,K(y,x)),w) * K(x,y) | T(u,w) = z. T(x,y) = T(T(x,K(z,y)),T(y,z)). T(T(x,K(y,z)),T(z,y)) = T(x,z). T(x \ (y \ x),K(x,z)) = T(x \ (x / y),T(x,z)). T(x \ (x / y),T(x,z)) = T(x \ (y \ x),K(x,z)). L(x,T(y,T(z,u)),z) = L(x,T(y,K(z,u)),z). L(x,T(y,K(z,u)),z) = L(x,T(y,T(z,u)),z). L(x,T(y,K(z,u)),z) = (T(y,K(z,u)) * z) \ (z * (T(y,T(z,u)) * x)). (T(x,K(y,z)) * y) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,K(y,z)),y). x != T(y,T(z / u,z)) | T(y,u \ z) = x. T(x,y \ z) = T(T(x,z / y),K(z / y,z)). T(T(x,y / z),K(y / z,y)) = T(x,z \ y). T(T(x,y),K(y,z)) != u | T(x,y) * K(x,K(y,z)) = u. T(x,y) * K(x,K(y,z)) = T(x,T(y,z)). K(x * (y \ z),z \ y) = K(x * (z / y),z \ y). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). K(x \ y,z * (y \ x)) = K(x \ y,z * (x / y)). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). T(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). x != L(y,T(z,T(u,w)),u) | T(z * u,K(u,w)) \ (u * (T(z,T(u,w)) * y)) = x. T(x * y,K(y,z)) \ (y * (T(x,T(y,z)) * u)) = L(u,T(x,K(y,z)),y). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,T(x * y,z)) = K(x,T(y,z)). K(x,x \ T(x * y,z)) = K(x,T(y,z)). K(x * y,T((z * x) * y,u)) = K(x * y,T(R(T(z,x * y),x,y),u)). K(x * y,T(R(T(z,x * y),x,y),u)) = K(x * y,T((z * x) * y,u)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). K(x,T(x \ y,z)) = K(x,x \ T(y,z)). x != K(y,z \ T(u * w,u)) | K(y,z \ (w * u)) = x. K(x,x \ (y * z)) = K(x,T(x \ (z * y),z)). K(x,T(x \ (y * z),y)) = K(x,x \ (z * y)). T(x,x \ T(y,z)) = x * K(x,T(x \ y,z)). x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). T(x,x \ T(y,z)) != u | T(x,T(x \ y,z)) = u. x != (y * T(y \ z,u)) / z | K(z / y,u) = x. 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) = K(x / (K(u,z) * y),z). K(x / (K(y,z) * u),z) = K(x / u,z). x / (K(y / z,u) * x) = K(u,y / (K(w,u) * z)). K(x,y / (K(z,x) * u)) = w / (K(y / u,x) * w). x != y \ (z * T(z \ y,u)) | K(z \ y,u) = x. K(x \ y,z) = K((x * K(z,u)) \ y,z). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((x * K(y,z)) \ u,z) = K(x \ u,z). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). (x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z). K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u != w | K(z,(x * (y * z)) \ u) = w. K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). x * K(y \ (z \ u),y) = x * K(z \ (y \ u),y). x * K(y \ (z \ u),z) = x * K(z \ (y \ u),z). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). x != y / (K(z,u) * y) | K(u,z) = x. 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 / (K(z,x) * u)) != w | K(x,y / u) = w. K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). x != (y * K(z,u)) \ y | K(u,z) = x. 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(y,x) * z) \ u) = K(x,z \ u). K(x,(y * (z * x)) \ u) = K(x,(y * (x * z)) \ 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(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). x * y != z * ((u \ (z \ x)) * u) | K((z * u) \ x,u) = y. K((x * y) \ z,y) = K(x \ (y \ z),y). x != K(y \ (z \ (u * z)),z) | K(y \ u,z) = x. K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. K(x,y / (x * (z * u))) = K(x,y / ((x * z) * u)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ 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 * z) \ u) = K(x,(y * (K(x,w) * z)) \ u). K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). K(x,y / ((z * x) * u)) != w | K(x,y / ((z * u) * x)) = w. K(x,y / (((x \ z) * u) * x)) = K(x,y / (z * u)). K(x,y \ z) = K(x,(y * (x \ 1)) \ (x \ z)). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * (x \ 1)) \ z) != u | K(x,((x \ 1) * y) \ z) = u. K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) != u | K(x,L(y,x \ 1,x) \ z) = u. K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). T(K((x \ y) \ y,x \ y) * z,(x \ y) \ y) = x \ (z * ((x \ y) \ y)). T(K(x,T(y,z)) * u,y) = K(x,T(y,z)) * T(u,y). x != K(y,T(z,u)) * T(z \ u,z) | T(T(z,z \ u),y) \ u = x. T(T(x,x \ y),z) \ y = T(K(z,T(x,y)) * (x \ y),x). T(K(x,T(y,z)) * (y \ z),y) = T(T(y,y \ z),x) \ z. K(x,y \ 1) * T(z,y) = T(K(x,y \ 1) * z,y). T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). 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)). T(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,y / (x * (z * u))). x != T(y,z / (y * u)) | T(y,y \ (z / u)) = x. 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). T(T(x,T(y,z)) \ z,x) = T(T(x,x \ z),y) \ z. T(T(x,y) * (y \ (x \ y)),y) = a(y \ (x \ y),x,y). T(x * (y \ (y / x)),y) = a(y \ (x \ y),x,y). x != a(y \ (z \ y),z,u) | a(z,y \ (z \ y),u) = x. a(x,y \ (x \ y),y) = T(x * (y \ (y / x)),y). T(x * (y \ (y / x)),y) = a(x,y \ (x \ y),y). a(x,y \ (x \ y),y) = x * (y \ (y / x)). a(x,y,x) = K(z,u \ w) * K(u \ (w * z),z). K(x * (y \ z),x) = K(y \ (z * x),x). K(x \ (y * z),z) = K(z * (x \ y),z). K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K((x \ y) \ z,z) = K(z * (y \ x),z). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. K(x \ y,z) = K(z * (x \ (z \ y)),z). K(x * (y \ (x \ z)),x) = K(y \ z,x). K(x \ (y * z),z) != u | K(x \ (z * y),z) = u. K(x \ (y * z),y) = K(y * (x \ z),y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). K(x * ((y / z) \ 1),x) != u | K(z / y,x) * a(w,v5,w) = u. K(x / y,z) * a(u,w,u) = K((y / x) \ z,z). K((x / y) \ z,z) = K(y / x,z) * a(u,w,u). K(x,K(y \ z,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = K(x,K(y \ z,z) * u). K(x * K(y \ z,u),w) = K(x * K(y \ (u \ z),u),w). K(x * K(y \ (z \ u),z),w) = K(x * K(y \ u,z),w). K(x * (y / z),x) = K((z / y) \ x,x). K((x / y) \ z,z) = K(z * (y / x),z). K(x,y / z) * K((z / y) \ x,x) = a(u,w,u). a(x,y,x) = K(z,u / w) * K((w / u) \ z,z). a(x,y,x) != K(z,u / w) * v5 | K((w / u) \ z,z) = v5. K(x,K(y \ 1,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) = K(x,K(z,y \ 1) * u). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). K(T(x,y),z * (T(x,u) \ w)) = K(T(x,y),z * (x \ w)). K(x,T(y * (T(x,z) \ u),w)) = K(T(x,w),y * (x \ u)). K(x,T(y * (T(x,z) \ u),w)) != v5 | K(x,T(y * (x \ u),w)) = v5. K(T(x,y),T(x,z) \ u) != w | K(x,T(x \ u,y)) = w. K(x,T(x \ (y \ z),u)) = K(x,T(y \ (T(x,u) \ z),u)). K(x,T(y \ (T(x,z) \ u),z)) = K(x,T(x \ (y \ u),z)). x != K(y * (1 / z),u) | K(y * (z \ 1),u) = x. K(x * (((y * z) \ y) \ 1),z) = K((((y * z) \ y) \ 1) * x,z). K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). x != R(y * K(z,y),u,w) \ R(y,u,w) | K(R(y,u,w),z) = x. K(R(x,y,z),u) = K(R(x,y,z),u * K(x,w)). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). T((x * y) * (y \ z),x) = x \ ((x * y) * (y \ (z * x))). x \ ((x * y) * (y \ (z * x))) = T((x * y) * (y \ z),x). (K(x,x \ y) * z) * (x \ y) = (y / x) * T(z,x \ y). x != T(y,z) * L(y \ T(z,y),u,w) | T(y * L(y \ z,u,w),z) = x. T(x * L(x \ y,z,u),y) = T(T(x,y) * L(x \ y,z,u),x). T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y). T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | T(y * R(z,u,w),y * z) = x. T(x * R(y,z,u),x * y) = T(T(x,x * y) * R(x \ (x * y),z,u),x). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). x \ (y * (T(z,T(y,u)) * w)) != L(w,T(z,K(y,u)),y) | T(z,K(y,u)) * y = x. T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. x = T(x,K(1 / x,y)). T(x,K(1 / x,y)) = x. T(x * y,K(y,z)) != u | K(x,T(y,z)) * (y * x) = u. K(x,T(y,z)) * (y * x) = T(x,K(y,z)) * y. T(x,K(1 / R(x,y,z),u)) = x. T(x,K(1 / R(x,y,z),u)) * w = x * w. T(K(x,y),z) * (y * x) = T(x,K(y,z)) * y. x != T(y,z) * u | K(y,z) * (y * u) = x. K(x,K(y,z)) * (x * y) = T(K(x,y),z) * (y * x). x * (y * z) != T(K(y,z),u) * (z * y) | K(K(y,z),u) = x. K(K(x,y),z) = K(x,K(y,z)). K(x \ y,K(z,u)) = K(z,K(u,y \ x)). K(x,K(y,z)) = K(z,K(y,x)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. T(x * T(K(y,z),u),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. (x * K(y,T(z,u))) * K(z,y) = x * K(y,K(z,u)). T(x,y) * K(K(x,y),z) = T(x,T(y,z)). x != K(y,K(z,u)) | K(z * y,K(z,u)) = x. K(x * y,K(x,z)) = K(z,K(x,y)). x != K(y,K(z,u)) | K(y,K(u,z \ u)) = x. K(x,K(y,z \ y)) = K(y,K(z,x)). x != K(y,K(z,u)) | K(y,K(z,z \ u)) = x. K(x,K(y,y \ z)) = K(z,K(y,x)). x != K(y,K(z,u)) | K(z,u) * K(u,T(z,y)) = x. K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). x != K(y,K(z \ u,w)) | K(y,K(w,u \ z)) = x. K(x,K(y,z \ u)) = K(y,K(u \ z,x)). K(x,K(y \ z,u)) = K(u,K(x,z \ y)). x != K(y,K(z,u \ 1)) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(y \ 1,K(z,x)). K(x \ 1,K(y,z)) = K(z,K(x,y)). T(x,K(y,z)) = K(z,K(y,x)) * x. K(x,K(y,z)) * z = T(z,K(y,x)). K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). (x * y) * K(z,K(u,y)) = x * T(y,K(u,z)). K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,K(y,K(y,z) * u)) = K(u,K(y,x)). K(x,K(y,T(y,z) \ u)) = K(u,K(y,x)). K(K(x,y),z) = K(y,K(z,x)). K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(z,K(x,y)). K(x,K(y,z)) = K(y,K(x,z)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). K(x,K(y,z)) * (y \ u) = T(y,K(z,x)) \ u. K(x,K(y,z)) * u != w | K(y,K(z,x)) * w = u. K(x,K(y,z)) * (y \ u) != w | T(y,K(z,x)) \ u = w. x != K(y,K(z,u)) | K(K(u,y),z) = x. K(K(x,y),z) = K(z,K(x,y)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). x != K(y,K(z,u)) | K(K(u,z),y) = x. K(K(x,y),z) = K(y,K(x,z)). x != K(y,K(z,z \ u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(y,K(y \ x,z)). K(x,K(x \ y,z)) = K(y,K(x,z)). x != K(y,K(z,u \ z)) | K(z,K(u,y)) = x. 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 \ 1,K(z,u)) | K(z,K(u,y)) = x. K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). x != K(y \ z,K(y,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(y,K(z,y \ x)). K(x,K(y,x \ z)) = K(z,K(x,y)). x != K(y,z) | y \ T(y,z) = x. x \ T(x,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(z,y)). T(x,K(y,z)) = x * K(y,K(z,x)). x * K(y,K(z,x)) = T(x,K(y,z)). T(x,K(y,z)) = K(z,K(x,y)) * x. K(x,K(y,z)) * y = T(y,K(z,x)). T(x,K(y,z)) = K(y,K(z,x)) * x. K(x,K(y,z)) * z = T(z,K(x,y)). K(x,K(y,z)) = K(z,K(x,z * y)). K(x,K(y,x * z)) = K(y,K(z,x)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). K(x,K(y,z)) * K(x,z) = K(x,T(z,y)). (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). K(x,K(y,z)) * u != w | K(z,K(y,x)) * w = u. x != K(y,K(z,u)) | K(y,K(z,u * z)) = x. K(x,K(y,z * y)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(z,y \ x)). K(x,K(y,z \ x)) = K(x,K(z,y)). x != K(y,K(z,u * z)) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(y,K(x,z * y)). K(x,K(y,z * x)) = K(y,K(x,z)). x * K(y,K(z,u)) = x * K(z,K(y,u)). T(x,K(y,z)) = x * K(y,K(x,z)). x * K(y,K(x,z)) = T(x,K(y,z)). T(x,K(y,z)) = K(y,K(x,z)) * x. K(x,K(y,z)) * y = T(y,K(x,z)). (x * K(y,z)) / x = K(y,z) * K(y,K(x,z)). (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). K(x,K(y,z)) = K(y,K(x,K(y,u) * z)). K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). K(K(x,y),z) * u != K(z,K(x,y)) | 1 = u. 1 = K(x,K(y,z)) * K(x,K(y,z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. T(x,K(y,z)) = x * K(K(y,z),x). x * K(K(y,z),x) = T(x,K(y,z)). K(x \ 1,K(y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) != u | K(x,K(z,y)) = u. K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. K(x,y) != z | K(x * y,y) = z. K(K(x,y) * z,z) = K(y,K(x,z)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). K(x,K(y,z)) != u | K(K(y,z),x) = u. K(x,K(y,z / u)) = K(x,K(y,u / z)). x != K(y,K(z,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). T(x,K(y,x \ z)) = K(z,K(x,y)) * x. x \ T(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. T(x,K(y,z)) = T(x,K(z,y)). x * T(y,K(x,z)) = T(x,K(z,y)) * y. T(x,K(y,z)) * z = x * T(z,K(x,y)). K(x,y) * (z * K(y,x)) = T(z,K(x,y)). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). K(x,y) * z = T(z * K(x,y),K(x,y)). T(x * K(y,z),K(y,z)) = K(y,z) * x. (K(x,y) * z) / K(x,y) = T(z,K(x,y)). K(x,y) * (z / K(x,y)) = T(z,K(x,y)). x = T(T(x,K(y,z)),K(y,z)). T(T(x,K(y,z)),K(y,z)) = x. x \ K(y,z) = T(K(y,z) / x,K(z,y)). T(K(x,y) / z,K(y,x)) = z \ K(x,y). x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(x,x * K(y,z)) = T(x,K(z,y)). x != T(T(y,z),K(z,u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). T(x,K(y,z)) * u = T(x,K(z,y)) * u. K(x,y) * T(z,K(y,x)) = z * K(x,y). T(x,K(y,y \ z)) = T(x,K(z,y)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y,z * y)) = T(x,K(z,y)). T(T(x,K(y,z)),T(y,z)) = T(x,y). T(x * y,K(y,z)) = T(x,K(z,y)) * y. T(x,y) != T(z * y,u) | T(y * z,u) = x. T(K(x,y) * z,u) = T(T(z * K(x,y),u),K(x,y)). T(T(x * K(y,z),u),K(y,z)) = T(K(y,z) * x,u). T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. x != K(y,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(x,K(z,x * y)). K(x,K(y,x * z)) = K(x,K(z,y)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y * x,z)) = K(x,K(z,y)). K((x * y) * z,K(u,R(T(x,y * z),y,z))) = K((x * y) * z,K(y * z,u)). a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). T(T(x,K(y,z)),K(x * K(z,y),u)) = T(x,T(x * K(z,y),u)). T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). T(T(x,(y \ z) \ 1),K(u,z \ y)) = T(x,T((y \ z) \ 1,u)). T(x,K(y,z \ (y \ u))) = T(x,K(z \ u,y)). T(x,K(y,x \ z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. K(x,T(((y * z) \ y) * (y * z),K(y,z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). T(T(x / y,z),y) != u | T(y \ x,z) = u. T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). K(K(x,y),z) != u | K(x,K(y,z)) = u. K(x,y) * K(y,T(x,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. T(x,K(y,y \ z)) != u | T(x,K(z,y)) = u. K(x \ y,K(z,u)) != w | K(u,K(y \ x,z)) = w. K(x,y) \ K(x,T(y,z)) = K(x,K(y,z)). K(x,y) \ K(x,T(y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) * (K(y,u) * x) = T(K(y,u) * x,K(y,z)). K(x,K(y,T(x,z) \ u)) = K(u,K(x,y)). K(x,T(y,z)) * T(K(z,x),y) = K(x,y) * K(z,x). T(K(x,y),z) = K(x,K(z,y)) * K(x,y). K(x,K(y,z)) * K(x,z) = T(K(x,z),y). R(x / (y / K(z,K(u,w))),y / K(z,K(u,w)),K(z,K(u,w))) = (x * K(u,K(z,w))) / y. 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)). (x * K(y,z)) / x = K(y,T(z,x)). T(K(x,y),z \ 1) = K(x,T(y,z)). T(K(x,T(y,z)),z) = K(x,y). K(x,T(y,z)) * z = z * K(x,y). R(K(x,T(y,z)),z,u) = ((z * K(x,y)) * u) / (z * u). ((x * K(y,z)) * u) / (x * u) = R(K(y,T(z,x)),x,u). K(x,T(T(y,z),z)) = K(x,y). K(T(x,y),T(z,y)) = K(x,z). K(x,y / z) = K(x,T(z \ y,y)). K(x,T(y \ z,z)) = K(x,z / y). T(K(x / y,z),x) != u | K(y \ x,z) = u. K(x \ y,T(z,y)) = K(y / x,z). (x * K(y,z)) / x != u | K(y,T(z,x)) = u. K(x,y) / z = z \ K(x,T(y,z)). x \ K(y,T(z,x)) = K(y,z) / x. T(K(T(x,y),z),y) = K(x,z). K(x,y) * T(x,z) = T(T(x,z),T(y,z)). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). K(L(x,y,z),T(u,w)) != v5 | K(L(T(x,w),y,z),u) = v5. K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(x,T(T(y * z,y),u)) != w | K(x,T(z * y,u)) = w. K(x,T(y * z,z)) = K(x,z * y). K((x * y) / x,T(z,x)) != u | K(y,z) = 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(z,y)) != u | K(y \ x,z) = u. K(x \ y,T(z,x)) = K(y / x,z). K(x * y,T(z,x)) != u | K(y * x,z) = u. K(x * y,T(z,y)) = K(y * x,z). K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). K(x,T(y \ z,y)) = K(x,z / y). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(x,T(y,z)) = K(x,z * (y / z)). K(x,y * (z / y)) = K(x,T(z,y)). K(x,T(y,z \ 1)) = K(x,T(y,z)). K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). K(x,T(y,z)) = K(x,y * K(z,y)). K(x,y * K(z,y)) = K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). K(T(x,y),z) * (y * K(z,x)) = y. K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),y \ z) = K(x,z / y). K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * y,T(z,x)) = K(T(x,y) * y,z). K(T(x,y) * y,z) = K(x * y,T(z,x)). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). K(x,T(y,z)) = K(K(z,x) * x,y). K(K(x,y) * y,z) = K(y,T(z,x)). L(x,T(y,z),K(y,u)) != w | x = w. x * K(y,z) = K(T(y,x),z) * x. K(T(x,y),z) * y = y * K(x,z). K(x,T(y,z)) * (z * K(y,x)) = z. L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). K(K(x,y) * z,T(x,u)) = K(z,T(x,u)). T(K(x \ y,z),y) = K(y / x,z). K(x,y \ z) * y = y * K(x,z / y). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). T(K(x,y),z) * (z / y) = (z / y) * K(x,y). K(x,T(T(y,z),u)) * (K(w,y) * z) = (K(w,y) * z) * K(x,T(y,u)). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,T(y,z) \ z) = K(x,z / y). K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. K(x \ (y * z),T(z,y)) = K((y * z) / x,z). K(x \ y,T(T(z,y),u)) = K(y / x,T(z,u)). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). x * K(x / y,z) = K(y \ x,z) * x. K(x \ y,z) * y = y * K(y / x,z). K(x,T(y,z) * z) = K(x,z * y). x \ K(y,x * z) = K(y,z * x) / x. K(x,y * z) / z = z \ K(x,z * y). x != K(y / z,u) | K(u,z / y) = x. K(x,y / z) = K(y \ z,T(x,y)). K(x \ y,T(z,x)) = K(z,x / y). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). a(x,y,x) = K(T(z,u),T(z,u) \ (u \ w)) * K(w / u,z). K(x * (y * z),T(z,y)) = K((y * z) * x,z). K((x * (y / z)) * z,T(u,y)) = K(y * R(x,y / z,z),u). K(x,T((x * y) \ z,y)) = K(x,z / (x * y)). x != K(y,(z * y) / u) | K(y,(u / z) \ y) = x. K(x,(y / z) \ x) = K(x,T(y \ (z * x),y)). K(x,T(y \ (z * x),y)) = K(x,(y / z) \ x). K(x,T(y * (L(y,z,u) \ w),L(y,z,u))) = K(x,(y * w) / L(y,z,u)). K(x,y \ (z \ y)) = K(x,y / (y * z)). K(x,y / (y * z)) = K(x,y \ (z \ y)). K(x,L((y \ z) / u,u,y)) = K(x,T((y * u) \ z,u)). 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,y \ x)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. K(x * T(y / x,z),u) = K(y * K(x \ y,z),T(u,x)). K(x * K(y \ x,z),T(u,y)) = K(y * T(x / y,z),u). K(x,T(T(y,z),z)) != u | K(x,y) = u. K(x * K(y,x),z) = K(x,T(T(T(z,u),u),y)). x / T(x,y * K(z,y)) = K(y,T(x,z)). (K(x,y) * T(x,z)) \ (u * K(x,y)) != w | T(x,z) \ T(u,K(x,y)) = w. x / (x * K(y,z)) = K(z,T(y,x)). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). K(x,L(y \ z,u,w) * y) = K(x,y * L(z / y,u,w)). K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). x != K(y,K(z,u)) * z | T(z,K(u,y)) = x. T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). x * T(y,K(x,z)) = T(x,z) * (y * K(z,x)). T(x,y) * (z * K(y,x)) = x * T(z,K(x,y)). T(x,K(y,z)) * y = K(y,z) * ((x * K(z,y)) * y). K(x,y) * ((z * K(y,x)) * x) = T(z,K(x,y)) * x. ((x * y) * z) * K(y,x) = T((y * x) * z,K(x,y)). T((x * y) * z,K(y,x)) = ((y * x) * z) * K(x,y). ((x * y) \ z) * K(x,y) = T((y * x) \ z,K(y,x)). T((x * y) \ z,K(x,y)) = ((y * x) \ z) * K(y,x). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). (x * K(y,z)) * T(x,K(y,z)) = (K(y,z) * x) * x. T(x * y,K(z,y)) = T(x,K(z,y)) * y. x != T(y,K(z,u)) * u | y * T(u,K(y,z)) = x. x * T(y,K(x,z)) = T(x * y,K(y,z)). T(x * y,K(y,z)) = x * T(y,K(x,z)). T(x,K(y,z)) * z != u | T(x * z,K(y,z)) = u. K(x,K(y,z)) = K(x,K(y,z * K(u,x))). K(x,K(y,z * K(u,x))) = K(x,K(y,z)). K(x,T(T(y,z),z)) * (T(y,z) \ u) = (K(y,x) * T(y,z)) \ u. x != K(y,T(z,y \ u)) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). K(x,T(y \ z,u \ y)) != w | K(x,T(y \ z,u \ z)) = w. K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). K(x,T(y,z)) = K(x,T(y,x / z)). K(x,T(y,x / z)) = K(x,T(y,z)). (x \ y) * K(y,T(z,x)) != u | K(y,z) * (x \ y) = u. x != K(y * z,T(u,y)) | K(z * y,u) = x. K(x * y,z) = K(T(y,x) * x,z). K(T(x,y) * y,z) = K(y * x,z). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). K(x \ y,T(x,z)) = K(T(x,u) \ y,T(x,z)). K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). (x * K(y,1 / x)) * z = K(y,x \ 1) * (x * z). R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). T(T(x,y),K(z,y)) * z = x * (z * K(x,y)). K(x \ (y * z),y) * z = z * K(z / (y \ x),y). x != K(y,z \ (u \ z)) | K(y,T(u \ 1,z)) = x. K(x,T(y \ 1,z)) = K(x,z / (z * y)). x / y != K(z,T(x,u)) | T(x,T(z,u)) = y. T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,T(z,y)). T(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = T(x,y). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,y * (z / y)) = T(x,T(z,y)). T(x,y / z) = T(x,T(z \ y,z)). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(y * z,z)) = T(x,z * y). K(x,T(y,z)) * (z * x) = z * T(x,y). K(((x * y) / x) / T(z,T(y,x)),u) = K(z \ ((x * y) / x),u). K(x,(((y * z) / y) / T(u,T(z,y))) * w) = K(x,(u \ ((y * z) / y)) * w). T(x,T(y,T(z,u)) / (u * (z / u))) = T(x,(u * (z / u)) \ y). R(T(x / y,T(z,y)),y,y \ z) = (y * (z / y)) \ (x * (z / y)). T(x,T(y,x * z)) != u | T(x,T(y,z)) = u. T(x,T((x * y) \ z,y)) = T(x,z / (x * y)). T(x,y \ T(z,y)) = T(x,z / y). T(x,T(y,z) * z) = T(x,z * y). T(x * (y * z),K(y,y * z)) = T(x,K(y,z)) * (y * z). K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). K(x,T(1 / y,z)) = K(x,z / (z * y)). K(x,1 / (y * z)) = K(x,z / (z * (z * y))). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). (K(x,K(y,z)) * ((z * u) * w)) * a(K(x,K(y,z)),z * u,w) = (T(z,K(x,y)) * u) * w. K(x,y) * K(x,K(z,y)) != u | K(x,T(y,z)) = u. x != T(y,T(z * u,z)) | T(y,u * z) = x. 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((x * y) \ z,K(x,y)) = T(z / (x * y),y * x). T(x / (y * z),z * y) = T((y * z) \ x,K(y,z)). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. x \ T(x,K(y \ z,u)) = K(u,K(y \ (u \ z),x)). K(x,K(y \ (x \ z),u)) = u \ T(u,K(y \ z,x)). (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. x * T(y,K(x,z)) = T(x * y,K(x,z)). T(x * y,K(x,z)) = x * T(y,K(x,z)). x != y * T(z,K(y,u)) | T(y * z,K(z,u)) = x. T(x * y,K(y,z)) = T(x * y,K(x,z)). T(x * (x \ y),K(x \ y,z)) = T(y,K(x,z)). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). x * K(y,L(z,u,w)) != v5 | K(y,L(T(z,x),u,w)) * x = v5. x != (y / z) * K(u,z) | y / T(z,u) = x. x / T(y,z) = T(K(z,y),x) * (x / y). T(K(x,y),z) * (z / y) = z / T(y,x). K(x,T(y,z)) * (z / y) = z / T(y,x). K(x,y) * (z / y) = z / T(y,T(x,z)). x / T(y,T(z,x)) = K(z,y) * (x / y). x * K((y * x) / z,y) = K(z \ (y * x),y) * x. K(x \ (y * z),y) * z = z * K((y * z) / x,y). K(T(x,y) \ z,T(x,u)) = K(z / T(x,y),T(x,u)). K(x / T(y,z),T(y,u)) = K(T(y,z) \ x,T(y,u)). K(x * ((1 / y) \ z),T(T(z,y),z \ ((1 / y) \ z))) = K(((z \ ((1 / y) \ z)) * T(z,y)) * x,T(z,y)). K(x,T((T(x,y) * y) \ z,(x * y) / x)) = K(x,z / (x * ((x * y) / x))). K(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(x,T(y,z)) = K(x,T(T(T(y,u),u),z)). K(x,T(T(T(y,z),z),u)) = K(x,T(y,u)). K(x,T(T(y * z,y),u)) = K(x,T(T(y,z) * z,u)). x != y * T(z,K(y,u)) | T(y * z,K(y,u)) = x. T(x * y,K(x,z)) = T(x,z) * (y * K(z,x)). T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). K(x,T(x \ (y * z),z)) = K(x,T(x \ (y * z),y)). T(x,T((x * y) \ z,u)) != w | T(x,T(y \ (x \ z),u)) = w. T(x,T(y \ (x \ z),y)) = T(x,z / (x * y)). T(x,K(y \ x,z)) = T(x,K(y,z)). T(x,K(y,z)) \ (y * T(y \ x,z)) = T(x \ (y * T(y \ x,z)),x). T(x \ (y * T(y \ x,z)),x) = T(x,K(y,z)) \ (y * T(y \ x,z)). K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). K(x,L(T(y,z),u,w)) = K(x,L(z * (y / z),u,w)). K(x,L(y * (z / y),u,w)) = K(x,L(T(z,y),u,w)). K(x,L(T(y \ z,z),u,w)) = K(x,L(z / y,u,w)). T(x,T(y \ z,y)) != u | T(x,z / y) = u. T(x,(x \ y) / z) = T(x,y / (x * z)). T(x,x \ (y / z)) = T(x,(x \ y) / z). T(x,(x \ y) / z) = T(x,x \ (y / z)). K(x * y,x) * K(z,K(x,y)) != u | K(x * y,T(x,z)) = u. T(x,T(y * z,y)) != u | T(x,z * y) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x,y) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = K(x,u). K(L(x,x \ K(y,x),z),u) = K(x,u). T(x * K(y,K(z,u)),K(y,z)) = K(z,y) * (x * K(y,T(z,u))). K(x,K(y,z)) * (u * K(x,y)) = K(x,T(y,z)) * T(u,K(y,x)). K(x,T(y,z)) * K(z,T(x,y)) = K(x,y) * K(z,x). K(x,K(y,y \ z)) = K(y \ z,x) * K(x,z / y). K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). K(x,y) * (z * (x * K(y,x))) = T(z,K(x,y)) * x. x != ((y * z) * u) * K(z,y) | (y * z) * (u * K(z,y)) = x. (x * y) * (z * K(y,x)) = T((y * x) * z,K(x,y)). T((x * y) * z,K(y,x)) = (y * x) * (z * K(x,y)). x != ((y * z) \ u) * K(y,z) | (y * z) \ (u * K(y,z)) = x. (x * y) \ (z * K(x,y)) = T((y * x) \ z,K(y,x)). T((x * y) \ z,K(x,y)) = (y * x) \ (z * K(y,x)). (x * K(y,x \ 1)) * z = K(y,x \ 1) * (x * z). K(T((x * y) \ z,K(x,y)) * (y * x),u) = K((y * x) * (z / (x * y)),u). x != y \ T(y,K(z,u)) | K(z,K(u,y)) = x. K(x \ y,K(z,u)) = K(z,K(x \ (z \ y),u)). K(x,K(y \ (x \ z),u)) = K(y \ z,K(x,u)). K(x,K(y \ (x \ z),u)) != w | K(y \ z,K(x,u)) = w. K(x,K(y \ (K(x,z) * u),w)) = K(y \ (T(x,z) * u),K(x,w)). K(x \ (T(y,z) * u),K(y,w)) = K(y,K(x \ (K(y,z) * u),w)). x * y != K(z \ (u * x),u) * x | K(x / (u \ z),u) = y. K(x / (y \ z),y) = K((y * x) / z,y). K((x * y) / z,x) = K(y / (x \ z),x). x != K(T(y,z) \ u,T(y,w)) | K(y \ u,T(y,w)) = x. K(x \ y,T(x,z)) = K(y / T(x,u),T(x,z)). K(x / T(y,z),T(y,u)) = K(y \ x,T(y,u)). K(x,T(y * z,u)) = K(x,T(T(z,y) * y,u)). K(x,T(T(y,z) * z,u)) = K(x,T(z * y,u)). x != K(y,T(y \ (z * u),z)) | K(y,y \ (u * z)) = x. K(x,x \ (y * z)) = K(x,T(x \ (z * y),y)). K(x,T(x \ (y * z),z)) = K(x,x \ (z * y)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). K(x,T(y,z)) * K(z,T(x,y)) != u | (y * T(x,z)) \ (x * y) = u. (x * T(y,z)) \ (y * x) = K(y,x) * K(z,y). K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). K(x,y) * (z * ((y * x) / y)) = T(z,K(x,y)) * x. K(x \ y,x) * (z * (y / x)) = T(z,K(x \ y,x)) * (x \ y). T(x,K(y \ z,y)) * (y \ z) = K(y \ z,y) * (x * (z / y)). x != K(y,K(z,z \ u)) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(x,z / y) * K(y \ z,x). K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y,z \ u)) * K(x,(u \ z) / y) = K(x,y \ (u \ z)). K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(y / x,x)) * (y / x). K(x,T((y \ 1) * z,y)) != u | K(x,z * (y \ 1)) = u. K(x,(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,z)) * (K(y,u) * x) != w | K(y,u) * T(x,K(y,z)) = w. K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(x,u)). T(T(x,K(y,z)),K(y,u)) = K(y,K(x,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). x != K(L(T(y,z),u,w),T(v5,z)) | K(L(y,u,w),v5) = x. K(L(x,y,z),u) = L(K(x,u),y * T(x,w),z). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). L(K(x,y),x * z,u) = K(L(x,z,u),y). L(K(x,y),z,u) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = L(K(x,u),y,z). K(L(x,x \ K(y,x),z),u) != w | K(x,u) = w. K(x,y) = L(K(x,y),K(z,x),u). L(K(x,y),K(z,x),u) = K(x,y). 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)). R(x,K(y,z),K(z,u)) = x. R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. x / (K(y,z) * K(z,u)) = (x * K(u,z)) / K(y,z). (x * K(y,z)) / K(u,z) = x / (K(u,z) * K(z,y)). R(x,L(K(y,z),u,w),K(z,v5)) = x. K(x,y) \ K((z / y) * K(x,y),K(x,y) \ 1) = (z / y) / (z / T(y,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). (x * K(y,z)) * K(z,u) = x / (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) = (x * K(u,z)) * K(z,y). x != (y * K(z,u)) * K(u,w) | y * (K(z,u) * K(u,w)) = x. x * (K(y,z) * K(z,u)) = x / (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). x * K(K(y,z) * K(z,u),x) = ((K(y,z) * K(z,u)) * x) * (K(z,y) * K(u,z)). ((K(x,y) * K(y,z)) * u) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). x != K(T(y,z),R(T(u,z),w,v5)) | K(y,R(u,w,v5)) = x. K(x,R(y,z,u)) = R(K(x,y),T(y,w) * z,u). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),T(y,x) * z,u) != w | ((y * z) * u) / ((T(y,x) * z) * u) = w. ((x * y) * z) / ((T(x,u) * y) * z) = K(u,R(x,y,z)). R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). R(K(x,y),z * y,u) = K(x,R(y,z,u)). (x * R(K(y,z),u,w)) \ x = K(R(z,T(z,v5) \ u,w),y). K(R(x,T(x,y) \ z,u),w) = (v5 * R(K(w,x),z,u)) \ v5. x / y != K(z,u) | K(u,z) * x = y. K(R(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). R(K(x,y),x * z,u) = K(R(x,z,u),y). R(K(x,y \ x),x * z,u) != w | K(x,((x * z) * u) / ((y * z) * u)) = w. K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). R(K(x,y),z,u) = K(R(x,x \ z,u),y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). K(x,y) = R(K(x,y),z,R(x,u,w)). R(K(x,y),z,R(x,u,w)) = K(x,y). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). (x * 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. K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). K(x,K(y,R(x,z,u)) * w) = K(x,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)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). K((x * y) / z,u) = R(K(x / (z / y),u),x,y). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = (w * R(K(y,x),z,u)) \ w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. K(x,y) * (T(x,z) * u) = (K(x,y) * T(x,z)) * u. (K(x,y) * T(x,z)) * u = K(x,y) * (T(x,z) * u). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). (K(x,y) * T(x,z)) * u = K(x,z) * (T(x,y) * u). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). x != y * (z * (z \ u)) | y * u = x. K(x,y) * z = (K(x,u) * T(x,y)) * (T(x,u) \ z). (K(x,y) * T(x,z)) * (T(x,y) \ u) = K(x,z) * u. K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). (K(x,y) * T(x,z)) * u != w | K(x,y) * (T(x,z) * u) = w. K(x,y) * (T(x,z) * (T(x,y) \ u)) = K(x,z) * u. K(x,y) * (K(y,z) * u) = T(y,z) * (T(y,x) \ u). T(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. K(x,y) * (T(x,z) \ u) = K(z,x) * (K(x,y) * (x \ u)). K(x,y) * (K(y,z) * (y \ u)) = K(y,z) * (T(y,x) \ u). T(x * (y * z),K(y,z)) = T(x,K(y,z)) * (y * z). T(T(x,y * z) * (y * z),K(y,z)) = T(x,z * y) * (y * z). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). T(x * K(L(y,z,u),w),K(w,v5)) \ T(x,K(w,v5)) = K(w,L(y,z * K(y,v6),u)). K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). 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). K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). x != (y * R(K(z,u),w,v5)) \ y | R(K(u,z),w,v5) = x. R(K(x,y),z,u) = K(R(x,T(x,w) \ z,u),y). K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). x != K(R(y,y \ z,u),w) | R(K(y,w),z,u) = x. R(K(x,y),z,u) = R(K(x,y),K(x,w) * z,u). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),T(z,x),u). R(K(x,y),T(z,x),u) = R(K(x,y),z,u). R(K(x,y),T(y * (1 / x),x),z) != u | K(x,R(y,x \ 1,x)) = u. K(x,R(y,x \ 1,x)) = R(K(x,y),y * (1 / x),z). R(K(x,y),y * (1 / x),z) = K(x,R(y,x \ 1,x)). R(K(x,y),y * (x \ 1),z) = K(x,R(y,x \ 1,x)). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,x \ 1,z)) = K(x,R(y,x \ 1,x)). x != K(y,R(z,u,y)) | K(y,z) = x. K(x,y) = K(x,R(y,x \ 1,z)). K(x,R(y,x \ 1,z)) = K(x,y). x \ K(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)). T(x \ 1,R(y,(x \ 1) \ 1,z)) = x \ K(x \ 1,y). x != y \ K(y \ 1,z) | T(y \ 1,z) = x. T(x \ 1,y) = T(x \ 1,R(y,(x \ 1) \ 1,z)). T(x \ 1,R(y,(x \ 1) \ 1,z)) = T(x \ 1,y). T(x \ 1,R(y,x,z)) = T(x \ 1,y). T(x \ 1,y) * R(T(x \ 1,R(y,x,z)) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),R(y,x,z)). K(x,y / (z / R(x,u,w))) != v5 | K(x,(y * R(x,u,w)) / z) = v5. K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,z)) = v5. K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y \ z,z)) != u | K(x,z / y) = 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,y) * (K(y,z) * (y \ u)) != w | T(y,x) \ (K(y,z) * u) = w. T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). a(x,y,x) = K(z,T(z \ (u \ w),u)) * K(w / u,z). K(x,x \ (y / z)) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). K(x,(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). T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = 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)). T(x,T(y \ 1,z)) = T(x,T(u \ (u / y),z)). T(x,T(y \ (y / z),u)) = T(x,T(z \ 1,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)). K(x,y) * (T(y,z) \ u) = (K(y,x) * T(y,z)) \ u. (K(x,y) * T(x,z)) \ u = K(y,x) * (T(x,z) \ u). (K(x,y) * T(x,z)) \ u = K(z,x) * (T(x,y) \ u). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). 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,K(y,z) * u,w)) = K(x,R(y,u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. K(R(x,y,z),u) = K(R(x,K(x,w) * y,z),u). K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). x != K(y,z) * T(u,K(w,y)) | T(K(y,z) * u,K(w,y)) = x. T(K(x,T(y,z)) * u,K(y,x)) = K(x,K(y,z)) * (u * K(x,y)). T(x,K(y,z)) * (z \ y) = K(z \ y,z) * (x * (y / z)). K(x \ y,x) * (z * (y / x)) = T(z,K(y,x)) * (x \ y). (K(x,x \ y) * z) * (x \ y) = K(x \ y,x) * ((z * K(x,x \ y)) * (y / x)). K(x \ y,x) * ((z * K(x,x \ y)) * (y / x)) = (K(x,x \ y) * z) * (x \ y). (x \ y) \ (T(z,K(y,x)) * (x \ y)) = K(x \ y,x) * ((x \ y) \ (z * (y / x))). K(x \ y,x) * ((x \ y) \ (z * (y / x))) = (x \ y) \ (T(z,K(y,x)) * (x \ y)). (T(x,K(y,z)) * (z \ y)) * K(z,z \ y) = T(x * (y / z),K(z,z \ y)). K(x,y \ (z \ u)) != w * K(x,(z \ u) / y) | K(x,K(y,u \ z)) = w. x * K(y,(z \ u) / w) != K(y,w \ (z \ u)) | K(y,K(w,u \ z)) = x. K(x,T(y,z * u) * (u * z)) = K(x,T((u * z) * y,K(u,z))). K(x,T((y * z) * u,K(y,z))) = K(x,T(u,z * y) * (y * z)). K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,T(x,z)) * u,w) * K(x,y). R(T(x / y,T(z,y)),y,y \ z) != u | T(z,y) \ (x * (y \ T(z,y))) = u. T(x,y) \ (z * (y \ T(x,y))) = (y * (x / y)) \ (z * (x / y)). (x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * (x \ T(y,x))). (x * (y / x)) \ (z * (y / x)) = T(y,x) \ (z * T(x \ y,x)). (T(x,y) * ((y \ x) / T(x,y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). K(R(x,x \ y,z),u) != w | R(K(x,u),y,z) = w. R(K(x,y \ x),z,u) = K(x,(z * u) / ((y * (x \ z)) * u)). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). T(x * K(y,T(z,u)),K(u,K(y,z))) = K(y,K(z,u)) * (x * K(y,z)). x != T(y,z) \ (u * T(u \ y,w)) | K(z,y) * K(u \ y,w) = x. K(K(x,y),z) * K(x \ z,y) = T(z \ (x * T(x \ z,y)),z). T(x \ (y * T(y \ x,z)),x) = K(K(y,z),x) * K(y \ x,z). T(x \ (y * T(y \ x,z)),x) = K(y,K(z,x)) * K(y \ x,z). T(K(x \ y,z),y) = K(x,K(z,y)) * K(x \ y,z). K(x,K(y,z)) * K(x \ z,y) = T(K(x \ z,y),z). x != T(K(y \ z,u),z) | K(z / y,u) = x. K(x / y,z) = K(y,K(z,x)) * K(y \ x,z). K(x,K(y,z)) * K(x \ z,y) = K(z / x,y). K(x,K(y,z)) * K(y \ z,x) = K(z / y,x). K(x / y,z) \ K(z,K(y,x)) = K(z,y \ x). K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). (x * K(y,z)) \ (x * R(K(y,u),w,v5)) != v6 | K(z,y) * R(K(y,u),w,v5) = v6. 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)). x != y * K(z,K(u,w)) | y * K(u,K(z,w)) = x. K(x,K(y,z)) * K(x,K(y,u)) = T(T(x,K(y,u)),K(y,z)) \ x. T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). K(x * y,R(T(T(z,x * y),u),x,y)) = K(x * y,T((z * x) * y,u)). K(x,T(y,x)) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. K(x,y) * ((y * K(y \ x,y)) \ z) = L(y,y \ x,y) \ z. K(x,y) * (K(y,y \ x) * (y \ z)) = L(y,y \ x,y) \ z. K(x,y) * (K(y,z) * (y \ u)) != w | K(y,z) * (T(y,x) \ u) = w. K(x,x \ y) * (T(x,y) \ z) = L(x,x \ y,x) \ z. T(x,y) \ T(z,K(x,u)) = K(u,x) * (T(x,y) \ (z * K(x,u))). K(x,y) * (T(y,z) \ (u * K(y,x))) = T(y,z) \ T(u,K(y,x)). K(x,y) * ((T(y,z) \ u) * K(y,x)) = T(y,z) \ T(u,K(y,x)). T(T(x,y) \ z,K(x,u)) = T(x,y) \ T(z,K(x,u)). a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). x != L(K(y,z),u,w) * K(v5,y) | K(v5,y) * L(K(y,z),u,w) = x. K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). a(x,y,K(z,u)) = K(z,u) * L(K(u,z),y * K(z,u),x). K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). K(x,K(y,x) \ y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)). T(K(x,x \ y) * z,(x \ y) \ y) = x \ (z * ((x \ y) \ y)). T(x,(y \ z) \ z) != u | T(x,T(y,z)) = u. T(K(x,x \ y) * z,T(x,y)) = x \ (z * ((x \ y) \ y)). K(x,(T(y,z) \ (K(y,y \ z) * u)) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). T(T(x,x * y) * L(y,z,u),x) != w | L(y,z,u) * T(x,y) = w. 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). T(x * L(x \ y,z,u),y) = L(x \ y,z,u) * T(x,x \ y). L(x \ y,z,u) * T(x,x \ y) = T(x * L(x \ y,z,u),y). K(x * L(y,z,u),x * y) = (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)). (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). (L(x,y,z) * T(u,x)) \ (u * L(x,y,z)) != w | K(u * x,u * L(x,y,z)) = w. K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) != w | R(y,z,u) * T(x,y) = w. R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). ((x * R(y,z,u)) / (T(x,y) * R(y,z,u))) * K(T(x,y),R(y,z,u)) = K(x * y,x * R(y,z,u)). K(x,T((T(x,y) * y) \ z,T(y,x))) = K(x,z / (x * ((x * y) / x))). K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. K(x,T((T(x,y) * y) \ z,y)) = K(x,z / (x * ((x * y) / x))). K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(x \ y,x)) * (y / x). K(x,y) \ K(z / T(y,x),K(x,y) \ 1) = (z / y) / (z / T(y,x)). K(x,y) \ K(z / T(y,x),K(y,x)) = (z / y) / (z / T(y,x)). K(x,y) \ K(y,K(x,z / T(y,x))) = (z / y) / (z / T(y,x)). K(x,y) \ K(y,K(x,z / y)) = (z / y) / (z / T(y,x)). (x * (y \ z)) * K(y,y \ z) != u | x * (z / y) = u. T(x,K(y,z)) * (y / z) = T(x * (y / z),K(z,z \ y)). T(x * (y / z),K(z,z \ y)) = T(x,K(y,z)) * (y / z). T(x * (y / z),K(y,z)) = T(x,K(y,z)) * (y / z). K(x,K(x,y) * y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)). x != T(y,K(z,u)) * w | T(y,K(u,z)) * w = x. T(x,K(y,y \ z)) * (z / y) = K(y \ z,y) * (x * ((y * (z / y)) / y)). K(x \ y,x) * (z * ((x * (y / x)) / x)) = T(z,K(x,x \ y)) * (y / x). K(x,y) * (z * (y \ K(y,x))) = T((y \ 1) * z,y \ K(y,x)). T((x \ 1) * y,x \ K(x,z)) = K(z,x) * (y * (x \ K(x,z))). x != K(y,z) * (u * (z \ K(z,y))) | T(u * (z \ 1),K(z,y)) = x. T(x * (y \ 1),K(y,z)) = T((y \ 1) * x,y \ K(y,z)). T((x \ 1) * y,x \ K(x,z)) = T(y * (x \ 1),K(x,z)). T((x \ 1) * (x / y),x \ K(x,y)) != z | (x / y) * (x \ 1) = z. (x / y) * (x \ 1) = T((x / y) * (x \ 1),K(x,y)). T((x / y) * (x \ 1),K(x,y)) = (x / y) * (x \ 1). 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. T(x,R(x,y,z) \ u) = T(x,x \ u). K(x,R(x,y,z) \ u) = x \ T(x,x \ u). K(x,x \ y) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,R(x,y,z) \ (u \ R(x,y,z))) != w | K(x,u \ 1) = w. K(x,y \ 1) = K(x,x \ (y \ R(x,z,u))). K(x,x \ (y \ R(x,z,u))) = K(x,y \ 1). K(x,(x \ y) * z) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,(x \ y) * z). K(x,x \ ((x \ y) \ z)) != u | K(x,y \ z) = u. K(x,y \ R(x,z,u)) = K(x,(x \ y) \ 1). K(x,y \ R(x,z,u)) != w | K(x,y \ x) = w. R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). R(x \ 1,x,y) != z | y / (((x \ 1) \ 1) * y) = z. x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. K(x,T(y / T(x \ z,x),x \ z)) = K(T(x,x \ z),(z / y) \ T(x,x \ z)). K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,T(z / T(x \ y,x),x \ y)). T(x,K(y,z)) / (z * T(z \ x,y)) = (x * (x / (z * T(z \ x,y)))) / x. T(x,K(y,z)) / (z * T(z \ x,y)) = (x * K(y,(z / x) \ 1)) / x. x != (y * K(z,u)) / y | K(z,T(u,y)) = x. K(x,T((y / z) \ 1,z)) = T(z,K(x,y)) / (y * T(y \ z,x)). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,T((z / x) \ 1,x)). x != K(y,T((z / u) \ 1,u)) | K(y,(u \ z) \ 1) = x. K(x,(y \ z) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ z) \ 1). K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = 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). x != T(y * K(z,u),K(u,w)) \ T(y,K(u,w)) | K(u,z) = x. K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). K(x \ y,x) * (z * ((x * (y / x)) / x)) = (K(x,x \ y) * z) * (x \ y). K(x \ y,x) * (z * ((x * (y / x)) / x)) != u | T(z,K(x,x \ y)) * (y / x) = u. T(x,K(y,y \ z)) * (z / y) = (K(y,y \ z) * x) * (y \ z). T(x,K(y,z)) * (y / z) = (K(z,z \ y) * x) * (z \ y). (K(x,x \ y) * z) * (x \ y) = T(z,K(y,x)) * (y / x). x != T(y,K(z,u)) * (z / u) | T(y * (z / u),K(z,u)) = x. T(x * (y / z),K(y,z)) = (K(z,z \ y) * x) * (z \ y). (K(x,x \ y) * z) * (x \ y) = T(z * (y / x),K(y,x)). (K(x,x \ y) * z) * (x \ y) != u | (y / x) * T(z,x \ y) = u. (x / y) * T(z,y \ x) = T(z * (x / y),K(x,y)). T(x * (y / z),K(y,z)) = (y / z) * T(x,z \ y). T(T(x,K(y,z)),z \ y) = K(z \ y,z) * ((z \ y) \ (x * (y / z))). K(x \ y,x) * ((x \ y) \ (z * (y / x))) = T(T(z,K(y,x)),x \ y). K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. (x / y) \ (z * (x / y)) = T(T(z,K(x,y)),y \ x). T(T(x,K(y,z)),z \ y) = (y / z) \ (x * (y / z)). T(x,y / z) = T(T(x,K(y,z)),z \ y). T(T(x,K(y,z)),z \ y) = T(x,y / z). K(x,(K(y,y \ z) * (T(y,z) \ u)) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). K(x,L(y,z,u)) * K(y,x) != w | K(x * y,x * L(y,z,u)) = w. K(x,(L(y,y \ z,y) \ u) * T(y,z)) = K(x,y \ (u * ((y \ z) \ z))). K(x,(L(y,z,y) \ u) * w) != v5 | K(x,(y \ u) * w) = v5. K(x,(y \ z) * T(y,u)) = K(x,y \ (z * ((y \ u) \ u))). K(x,y \ (z * ((y \ u) \ u))) = K(x,(y \ z) * T(y,u)). K(x,y \ (z * ((y \ u) \ u))) = K(x,T(z * K(y,u),y)). K(x,y \ (z * ((y \ u) \ u))) != w | K(x,(y \ z) * T(y,u)) = w. K(x,(y \ z) * T(y,u)) = K(x,T(z * K(y,u),y)). K(x,T(y * K(z,u),z)) = K(x,(z \ y) * T(z,u)). K(x,(((y * z) \ y) * (y * z)) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). K(x,(K(y \ 1,z * y) * z) \ u) = K(x,(((z * y) \ z) * (z * y)) \ u). x != K(y,((z \ u) * z) \ w) | K(y,T(u,z) \ w) = x. K(x,T(y,y * z) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,z * y) \ u). x != K(y,T(z,z * u) \ w) | K(y,T(z,u) \ w) = x. K(x,T(y,z) \ u) = K(x,(K(z \ 1,y * z) * y) \ u). K(x,(K(y \ 1,z * y) * z) \ u) = K(x,T(z,y) \ u). K(x,(y * K(z \ 1,z * y)) \ u) = K(x,T(y,z) \ u). R(x / (y * K(K(z,u),w)),y / K(w,K(z,u)),K(w,K(z,u))) = (x * K(z,K(w,u))) / y. R(x / (y * K(z,K(u,w))),y / K(w,K(z,u)),K(w,K(z,u))) = (x * K(z,K(w,u))) / y. K(x,y) = R(K(x,y),R(T(x,z),u,w),v5). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y),R(x,z,u),w) = K(x,y). K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). K(x,y) * K(T(y,x),R(x,z,u)) = K(y * x,y * R(x,z,u)). K(x,y) * K(y,T(R(x,z,u),x)) = K(y * x,y * R(x,z,u)). K(x,y) * K(y,R(x,z,u)) = K(y * x,y * R(x,z,u)). K(x * y,x * R(y,z,u)) = K(y,x) * K(x,R(y,z,u)). T(x \ 1,y) * R(T(x \ 1,y) \ 1,z,u) = T((x \ 1) * R((x \ 1) \ 1,z,u),R(y,x,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ 1,u) * R(T(x \ 1,u) \ 1,y,z). x != T(y,z) * R(T(y,z) \ 1,u,w) | T(y * R(y \ 1,u,w),z) = x. T((x \ 1) * R((x \ 1) \ 1,y,z),u) = T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T((x \ 1) * R((x \ 1) \ 1,y,z),u). T((x \ 1) * R((x \ 1) \ 1,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). T(x \ R(x,y,z),R(u,x,w)) = T(x \ R(x,y,z),u). K(R(x,y,z),y \ R(y,u,w)) = (y \ R(y,u,w)) / T(y \ R(y,u,w),x). K(R(x,y,z),y \ R(y,u,w)) != v5 | K(x,y \ R(y,u,w)) = v5. K(x,y / ((z * (K(u,x) * w)) * v5)) != v6 | K(x,y / ((z * w) * v5)) = v6. 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)). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). x != K(y,K(z,u)) * (K(y,z) * w) | K(y,T(z,u)) * w = x. K(x,T(y,z)) * T(u * K(y,x),w) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). T(K(x,y) * z,u) * K(y,T(x,T(w,T(K(x,y) * z,u)))) = K(y,T(x,w)) * T(z * K(x,y),u). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). L(x * L(x \ 1,y,z),u,w) = L(x,u,w) * L(L(x,u,w) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) != w | (x \ y) \ ((x \ (y / x)) * L(x,z,u)) = w. (x \ y) \ ((x \ (y / x)) * L(x,z,u)) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,y). L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = (x \ u) \ ((x \ (u / x)) * L(x,y,z)). L(1 / x,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). x * L(L(x,y,x) \ 1,z,u) = L(x * L(x \ 1,z,u),y,x). L(x * L(x \ 1,y,z),u,x) = x * L(L(x,u,x) \ 1,y,z). L(x,y,z) * L(L(x,y,z) \ 1,u,1 / x) = L(x * T(1 / x,1),y,z). (x / (x * y)) * L(L(T(y \ 1,x \ 1),y,x) \ 1,z,u) = L(T(y \ 1,x \ 1) * L(T(y \ 1,x \ 1) \ 1,z,u),y,x). L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y / (y * x)) * L(L(T(x \ 1,y \ 1),x,y) \ 1,z,u). L(x \ 1,x,y) * L(L(y \ (y / x),z,x) \ 1,u,w) = L((y \ (y / x)) * L((y \ (y / x)) \ 1,u,w),z,x). L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(x \ (x / y),w,y) \ 1,z,u). L(x \ 1,x,y) * L(L(x \ 1,x,L(x,z,u) \ y) \ 1,w,v5) = L((x \ 1) * L((x \ 1) \ 1,w,v5),x,L(x,z,u) \ y). L(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). x != (y * z) * L(u,z,y) | y * (z * u) = x. x * (y * ((x * y) \ 1)) = L((x * y) * L((x * y) \ 1,y,x),z,x * y). L((x * y) * L((x * y) \ 1,y,x),z,x * y) = x * (y * ((x * y) \ 1)). a(x,y,x * L(x \ 1,z,u)) = 1. a(x,y,z * ((z \ x) * (x \ 1))) = 1. a(x,y,(x \ z) * (z \ x)) = 1. a(x,y,L(z \ 1,z,x) * ((x / z) \ x)) = 1. a(x,y,L(z \ 1,z,x) * z) = 1. a(x,y,z * L(z \ 1,z,x)) = 1. L(x * L(x \ 1,x,y),z,y) = x * L(x \ 1,x,y). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(u,u \ 1),y,z). L(K(x,x \ 1),y,z) = L(u,y,z) * ((1 / u) * (L(u,y,z) \ u)). L(K(x,x \ 1),y,z) != u | K(x,x \ 1) = u. K(x,x \ 1) = L(y,z,u) * ((1 / y) * (L(y,z,u) \ y)). L(x * (y * ((x * y) \ 1)),z,x * y) = x * (y * ((x * y) \ 1)). L(x \ L(x,y,z),x,u) = (x \ u) \ ((x \ (u / x)) * L(x,y,z)). (x \ y) \ ((x \ (y / x)) * L(x,z,u)) = L(x \ L(x,z,u),x,y). ((x \ 1) \ y) \ (((x \ 1) \ (y / (x \ 1))) * L(x \ 1,x,y)) != z | a(x,x \ 1,y) = z. a(x,x \ 1,y) = L((x \ 1) \ L(x \ 1,x,y),x \ 1,y). L((x \ 1) \ L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y). L(x * L(x \ 1,x,y),x \ 1,y) = a(x,x \ 1,y). L(x * L(x \ 1,x,y),z,y) != u | x * L(x \ 1,x,y) = u. x * L(x \ 1,x,y) = a(x,x \ 1,y). L(x \ 1,y,z) * L(L(1 / x,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). L(x \ 1,y,z) * L(L(x \ 1,y,z) \ 1,u,w) = L((1 / x) * L(x,u,w),y,z). L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(y \ 1,y,x) \ 1,z,u). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). (x \ 1) * R(R(x \ 1,y,x) \ 1,z,u) = R((x \ 1) * R((x \ 1) \ 1,z,u),y,x). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R(R(x \ 1,u,x) \ 1,y,z). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = (x \ 1) * R((x \ 1) \ 1,y,z). x \ R(x,y,z) = R((x \ 1) * R((x \ 1) \ 1,y,z),u,x). R((x \ 1) * R((x \ 1) \ 1,y,z),u,x) = x \ R(x,y,z). R(x \ R(x,y,z),u,x) = x \ R(x,y,z). (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. x * ((y * z) * ((u * ((y * z) \ y)) / u)) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). K(x,L(K(y,z \ 1),u,w)) = K(x,K(y,L(z,u,w))). K(x,y) != z | (u * K(y,x)) \ u = z. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). K(x,L(y \ 1,z,u) \ 1) != w | L(K(y,x),z,u) \ 1 = w. L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). L(K(x,y),z,u) * w = L(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. K(x,L(y,z / y,u)) = L(K(x,y),z,u). K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. K(x,L(y,z / T(y,u),w)) = L(K(T(x,u),T(y,u)),z,w). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. K(L(x,y,K(z,u)),u) = K(x,u). K(L(x \ y,x,K(z,u)),u) != w | K(x \ (K(z,u) * y),u) = w. K(x \ (K(y,z) * u),z) = K(x \ u,z). L(K(x,y),z,K(u,x)) != w | K(x,y) = w. K(x,y) = K(x,L(y,z,K(u,x))). K(x,L(y,z,K(u,x))) = K(x,y). L(K(x,y),z,x \ 1) != u | K(x,y) = u. K(x,y) = K(x,L(y,z,x \ 1)). K(x,L(y,z,x \ 1)) = K(x,y). K(x,L(y,z,K(x,u))) = K(x,y). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). K(x \ y,y) = K(x \ T(y,z),y). K(x \ T(y,z),y) = K(x \ y,y). K(x \ 1,y) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x \ 1,y). 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),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). x != K(y,(z * y) \ u) | K(y,z \ (y \ u)) = x. K(x,y \ (x \ (y * z))) = L(K(x,x \ z),z,y). L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). L(K(x,y \ z),z,u) != w | K(x,L(y \ z,y,u)) = w. K(x,L(y \ z,y,u)) = K(x,(u * y) \ (u * z)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). 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). (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). K(x,L(y \ (z * u),y,z \ 1)) = K(x,((z \ 1) * y) \ L(u,z,z \ 1)). K(x,L(y \ (((z * u) \ z) \ z),y,u \ 1)) = K(x,((u \ 1) * y) \ R(z,u,u \ 1)). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(y,L(K(z,x),u,w)). K(x,L(K(y,z),u,w)) = K(z,K(x,L(y,u,w))). K(x,L(K(y,z),u,w)) != v5 | K(z,K(x,L(y,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,(K(y,x) * z) \ u) != w | K(x,z \ u) = w. K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,y \ (z * (1 / u))) = K(x,y \ (z * (u \ 1))). K(x,y \ T(x,z)) = K(x,y \ x). K(x,y \ (z * u)) = K(x,y \ (T(z,x) * u)). K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). K(x,y \ 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 \ z) = K(x,y \ (z * K(u,x))). K(x,y \ (z * K(u,x))) = K(x,y \ z). K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). K(x,y \ (z * (x \ u))) = K(x,y \ (z * (u / x))). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * (z / x))) \ (y * (x \ z))). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,y \ (z * u)) = K(x,y \ (z * (K(x,w) * u))). K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). K(x,K(y,(z * u) \ w)) = K(u \ (z \ w),K(x,L(y,z \ w,z))). K(x \ (y \ z),K(u,L(w,y \ z,y))) = K(u,K(w,(y * x) \ z)). (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). x / L(K(y,z),u,w) = x * L(K(z,y),u,w). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). x / L(L(K(y,z),u,w),K(v5,y),v6) = x * L(K(z,y),u,w). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). (x * L(K(y,z),u,w)) * K(z,y) = x * a(w,u,K(z,y)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) != v5 | K(z,y) = v5. K(x,y) = L(K(x,T(y,L(y,z,u))),L(y,z,u),w). L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,y). L(K(x,y),L(y,z,u),w) = K(x,y). L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ L(z,u,w),z). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). K(x * L(y,z,u),y) != w | K(y * x,y) = w. 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) | K(z \ y,y) = x. K(x \ y,y) = K(x \ L(y,z,u),y). K(x \ L(y,z,u),y) = K(x \ y,y). L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) * K(y,x) = a(u,(z / T(y,w)) * y,K(y,x)). a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). K(x,y) * K(y,L(x,z,u)) = a(u,x * z,K(x,y)). 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))). x * K(y,z) != u | x / K(z,y) = u. (x * L(K(y,z),u,w)) / K(y,z) = x * a(w,u,K(z,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) | K(u * (z \ y),u) = x. K(x * (y \ z),x) = K(y \ (z * L(x,u,w)),x). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). (1 * L(K(x,y),z,u)) / K(x,y) != w | a(u,z,K(y,x)) = w. K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(x,y \ R(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). (x / (K(y,z) * L(K(z,u),w,v5))) * K(y,z) = x * L(K(u,z),w,v5). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). T(x,K(y,z)) \ T(y,u) = T(x \ T(y,u),K(z,y)). T(x \ T(y,z),K(u,y)) = T(x,K(y,u)) \ T(y,z). x != L(K(y,z),u,w) * K(z,y) | a(w,u,K(z,y)) = x. a(x,y,K(z,u)) = a(x,(y / T(z,w)) * z,K(z,u)). a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). a(x,y / z,K(y,u)) = a(x,z \ y,K(y,u)). a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). a(x,T(y,K(z,u)),K(z,u)) != w | a(x,y,T(K(z,u),y)) = w. a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). a(x,y,K(z,T(u,y))) = a(x,y,K(z,u)). a(x,y \ 1,K(z,T(u,y))) = a(x,y \ 1,K(z,u)). a(x,y \ z,K(z,T(u,y))) = a(x,y \ z,K(z,u)). x != K(y * ((z * y) \ u),y) | K(z \ u,y) = x. K(x \ (y * z),u) = K(x \ (u \ (y * (z * u))),u). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). x != K(y,(z * (y * u)) \ w) | K(y,(z * u) \ (y \ w)) = x. K(x,(y * z) \ (x \ u)) = L(K(x,z \ (x \ (y \ u))),y \ u,y). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. K(x,(y * z) \ u) = K(x,(y * T(z,x \ 1)) \ u). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * z) \ u) = K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). x != K(y,(z * (y \ u)) \ w) | K(y,(z * (u / y)) \ w) = x. K(x,(y * (z / x)) \ u) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). x != K(y,z) | K((y \ 1) \ 1,z) = x. K((x \ 1) \ 1,(y * (z / x)) \ u) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). (x * L(K(y,z),u,w)) / K(y,z) = x / a(w,u,K(y,z)). a(x,y,K(z,u)) = 1 / a(x,y,K(u,z)). 1 / a(x,y,K(z,u)) = a(x,y,K(u,z)). (x * L(K(y,z),u,w)) / K(y,z) != v5 | x * a(w,u,K(z,y)) = v5. x * a(y,z,K(u,w)) = x / a(y,z,K(w,u)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). 1 / a(x,y,K(z,u)) != w | a(x,y,K(u,z)) = w. 1 / a(x,y,K(z,u)) = a(x,y,K(u,u \ z)). a(x,y,K(z,z \ u)) = 1 / a(x,y,K(u,z)). x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). 1 / x != a(y,z,K(u,w)) | a(y,z,K(w,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,u)) = a(x,y,K(z \ 1,u)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. 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. a(x,y,K(z,z \ u)) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,u \ z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z \ u,u)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. L(K(x,y \ (x \ (z \ u))),z \ u,z) != w | K(x,(z * y) \ (x \ u)) = w. K(x,(y * z) \ (x \ u)) = K(x,(y * (z / (x \ 1))) \ u). K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,(y * ((x \ 1) * z)) \ (x \ u)). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,y \ (x \ (z * x))) != u | K(x,y \ z) = u. K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != K(L(L(y,z,u),w,v5),u) | K(L(y,w,v5),u) = x. K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). K(x,L(L(y,z,K(x,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,L(y,K(x,z) * u,w)) = K(x,(w * (K(x,z) * u)) \ (w * (u * y))). K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). K(x,(y * (K(x,z) * u)) \ w) != v5 | K(x,(y * u) \ w) = v5. K(x,(y * z) \ (y * (z * u))) = K(x,L(u,K(x,w) * z,y)). K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | K(z,y) = x. K(L(x,y,z),u) = K(L(x,K(u,w) * y,z),u). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). L(x,K(y,L(z,u,w)),z) = x. a(x,y,K(z,L(x,u,w))) = 1. K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). K(L(x,T(y,z),u),z) != w | K(L(x,y,u),z) = w. K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. 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 * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) != w | K(x,(y * z) \ (u * x)) = w. K(x,(y * z) \ (u * x)) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ z)) \ u) != w | L(K(x,z \ ((y \ u) * x)),y \ u,y) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * z) \ (u * x)) \ 1 = K((y * (z / x)) \ u,x). K(x,K(y,(z * u) \ (y * y))) = K(x,K(z * (u / y),y)). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * y) \ z,u) = K((x * (u * y)) \ (z * u),u). K((x * (y * z)) \ (u * y),y) = K((x * z) \ u,y). (K((x * y) \ (z * u),u) * w) \ w = K(u,T((x * (u \ y)) \ z,w)). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) != w | K(L(u,y * z,x),y) = w. K(L(x,y * z,u),y) = K((u * z) \ (y \ (u * ((z * x) * y))),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). 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). K(x,K(y,(z * u) \ y)) = K(x,K(z * (u / y),y)). K(x,K(y * (z / u),u)) = K(x,K(u,(y * z) \ u)). K(x,K(y * z,u)) = K(x,K(y * (z / u),u)). K(x,K(y * (z / u),u)) = K(x,K(y * z,u)). K(x,y) * K(x,K(z * u,y)) = K(x,T(y,z * (u / y))). x != K(y,1 / (z \ u)) | K(y,u \ z) = x. K(x \ y,z \ u) = K((x * (u \ z)) \ ((1 / (u \ z)) \ y),1 / (u \ z)). K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). K(x,T(y,z * u)) = K(x,T(y,z * (u / y))). K(x,T(y,z * (u / y))) = K(x,T(y,z * u)). K(x,T(y,z * (y \ u))) = K(x,T(y,z * u)). x / (K(y,T(z,u * w)) * x) = K(T(z,u * (z \ w)),y). K(T(x,y * (x \ z)),u) = w / (K(u,T(x,y * z)) * w). K(T(x,y * z),u) = K(T(x,y * (x \ z)),u). K(T(x,y * (x \ z)),u) = K(T(x,y * z),u). K(x,T(y,z * u)) = K(T(x,z * (x \ u)),y). K(T(x,y * (x \ z)),u) = K(x,T(u,y * z)). K(T(x,y * (x \ z)),u) != w | K(x,T(u,y * z)) = w. K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(T(x,y),y \ z) != u | K(x,z / y) = u. K(x,y / (z * (x \ u))) = K(x,T((z * (x \ u)) \ y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). K(x,T(y,z * (x \ u))) != w | K(x,T(y,z * (u / x))) = w. K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). K(x \ (y \ (z * (u * y))),y) != w | K(x \ (z * u),y) = w. 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(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. L(K(x,y),z,u) = K(x,L(y,z,u)). K(L(x,y,z),u) = K(x,L(u,x * y,z)). K(x,L(y,x * z,u)) = K(L(x,z,u),y). K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). x != K(y,L(K(z,u),w,v5)) | K(y,K(u,L(z,w,v5))) = x. K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),u,w). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). L(K(x,y / z),y,u) != w | K(x,L(y / z,z,u)) = w. K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). L(K(x,y),y * z,u) != w | K(x,L(y,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)). L(K(x,y \ z),z,u) != w | K(x,(u * y) \ (u * z)) = w. K(x,(y * z) \ (y * u)) = K(x,L(z \ u,u,y)). K(x,L(y \ z,z,u)) = K(x,(u * y) \ (u * z)). K(x,L(y \ z,y,u)) = K(x,L(y \ z,z,u)). K(x,L(y \ z,z,u)) = K(x,L(y \ z,y,u)). K(L(x,y,z),u) = K(x,L(u,y * x,z)). K(x,L(y,z * x,u)) = K(L(x,z,u),y). K(x,y) = K(x,L(y,y,z)). K(x,L(y,y,z)) = K(x,y). L(x,y,z) != u | (z * y) \ (z * (y * x)) = u. (x * y) \ (x * (y * K(z,u))) = K(z,L(u,y,x)). L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). x * K(y,L(z,u \ x,u)) = u * ((u \ x) * K(y,z)). x * L(K(y,T(z,x)),u,w) = K(y,L(z,u,w)) * x. (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). x * K(y,L(z,u,u \ x)) != w | (x / u) * (u * K(y,z)) = w. K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). (x * (K(y,z) * u)) * K(z,L(T(y,u),u,x)) = x * u. T(x,L(y,y,z)) = x * K(x,y). T(x,y) = T(x,L(y,y,z)). T(x,L(y,y,z)) = T(x,y). T(x,L(y,y \ z,u)) = x * K(x,L(y,z,u)). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). L(K(x,y),z,T(x,u)) != w | K(x,y) = w. K(x,T(y,z)) = K(x,T(L(y,u,T(x,w)),z)). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. x \ (y * (K(z,u) * (y \ x))) = K(z,T(L(u,y \ x,y),y \ x)). K(x,T(L(y,z \ u,z),z \ u)) = u \ (z * (K(x,y) * (z \ u))). K(x,T((T(x,y) * z) \ u,w)) = K(x,T(z \ (T(x,y) \ u),w)). K(x,y) * K(y,L(x,z,u)) != w | a(u,x * z,K(x,y)) = w. a(x,y * z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). a(x,y,K(z,u)) = a(x,z \ y,K(z,u)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,T(y,z \ 1) / z,K((z \ 1) \ (y / z),u)) = a(x,z \ 1,K((z \ 1) \ (y / z),u)). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,T((y \ z) \ 1,z),K(((y \ z) \ 1) \ y,u)) = a(x,y,K(((y \ z) \ 1) \ y,u)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. a(x,y * z,K(z,u)) = a(x,y,K(z,u)). x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). a(x,y,K(z,u)) != w | K(u * z,u * L(z,y,x)) = w. (x * K(y,z)) / a(x / (u * y),u,K(y,z)) = (x / (u * y)) * (u * T(y,z)). K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). T(x,L(y,z,u)) = T(x,L(y,y \ z,u)). T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(x,L(K(y,z),u,w)) = K(y,K(z,L(x,u,w))). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). x * K(y,z) != a(u,w,K(y,z)) | K(z,L(y,w,u)) = x. K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). x * K(y,z) != a(u,w,K(y,z)) | L(K(z,y),w,u) = x. L(K(x,y),z,u) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(y,L(x \ 1,z,u)). K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)). K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)). K(L(x,y,z),u) != w | K(x,L(u,y * x,z)) = w. K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(L(x,y,z),u) != w | K(x,L(u,x * y,z)) = w. K(x,L(y,x * z,u)) = K(x,L(y,z,u)). K(x,T(y,z) / z) != u | K(x,z \ y) = u. K(L(x,y,z),u \ w) = K(x,L(T(w,u) / u,y,z)). K(x,L(T(y,z) / z,u,w)) = K(L(x,u,w),z \ y). 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 \ 1) * y,z) = K(x \ y,L(z,x,x \ 1)). K(x \ y,L(z,x,x \ 1)) = K((x \ 1) * y,z). K(x,L(y * z,z,y)) * (y * (z * x)) = L(x,z,y) * (y * z). T(L(x,y,z),u) = K(x,L(u,y,z)) * L(x,y,z). K(x,L(y,z,u)) * L(x,z,u) = T(L(x,z,u),y). (L(x,y,z) \ u) * K(x,L(u,y,z)) = u / L(x,y,z). K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. K(x,L(y,z,u)) * w != v5 | K(y,L(x,z,u)) * v5 = w. (x * (y * z)) * K(z,L(u,y,x)) = x * (y * T(z,u)). x != K(L(y,1 / y,z),u) | K(y,u) = x. K(x,y) = L(K(x,y),1 / x,z). L(K(x,y),1 / x,z) = K(x,y). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. L(K(1 / (x \ (y / z)),u),x \ (y / (1 / (1 / z))),w) = K(1 / (x \ (y / z)),u). x * K(y,L(x,z,u)) != w | T(x,L(y \ 1,z,u)) = w. K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. K(x,y) * K(L(y,z,u),x) != w | K(x * L(y,z,u),x * y) = w. K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. a(x,y * z,K(u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y / u,K(z,u)). a(x,y / z,K(u,z)) = a(x,y,K(u,z)). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,x \ z,x)). K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),L(w,K(y,x) * u,K(x,y))). K(x \ (K(y,z) * u),L(w,K(y,z) * u,K(z,y))) = K((K(z,y) * x) \ u,w). K(x,L((y * z) \ u,u,(y * z) \ z)) = K(x,(z * K(y \ 1,y * z)) \ (((y * z) \ z) * u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. x * (y * K(z,u)) != (x * y) * w | K(z,L(u,y,x)) = w. (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. (x * y) \ (x * (y * K(z,u))) != w | K(z,L(u,y,x)) = w. (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). T(x,y) * K(z,L(u,y,y \ x)) = (y \ x) * (y * K(z,u)). T(x,y \ 1) * K(z,L(u,x / y,y)) = y * ((x / y) * K(z,u)). (x * (y * K(z,u))) \ ((x * y) * T(L(u,y,x),z \ L(u,y,x))) = L(u,y,x). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). K(x * (y * K(z,u)),z) = K(x * y,z). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). K(x * (T(y,z) \ u),z) = K(x * (y \ u),z). K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. L(T(x,y),z,u) = K(x,L(y,z,u)) * L(x,z,u). K(x,L(y,z,u)) * L(x,z,u) = L(T(x,y),z,u). K(x,y) * L(x,x,z) = L(T(x,y),x,z). T(x,y) \ L(T(x,y),x,z) = x \ L(x,x,z). L(x \ L(x,x,y),x,z) = z \ (L(x,x,y) * (x \ z)). (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) = a(x,u,L(K(y,T(z,u)),u,x)). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). T(x,L(y,z,u)) * K(y,x) != w | T(x * K(y,x),L(y,z,u)) = w. T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x. K(x,L(y \ z,u,w)) = K(x,L(T(z,y) / y,u,w)). K(x,L(T(y,z) / z,u,w)) = K(x,L(z \ y,u,w)). (x * K(y,z)) * K(u,y) != w | K(u,y) * (T(x,K(y,u)) * K(y,z)) = w. K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). T(x,K(y,z)) * K(u,y) = (K(z,y) * x) * (K(y,z) * K(u,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(y,x)) * K(u,y). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). K(x,L(y / T(z,y),u,w)) = K(x,L(z \ y,u,w)). K(x,L(T(y,z),u,w)) = K(x,L((y \ z) \ z,u,w)). K(x,L((y \ z) \ z,u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,z * u),z,u)) * (z * u) = u * (T(z,u) * K(x,y)). x * K(y,L(z,u * y,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). K(K(x,y) * (z \ u),L(w,z \ u,z)) = K((z * K(y,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). (x / y) * L(y,y,z) = L(y,y,z) * (y \ x). L(x,x,y) * (x \ z) = (z / x) * L(x,x,y). K(x,L(y \ z,y,u)) != w | K(x,L(y \ z,z,u)) = w. K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(z,y),u,w)) = v5. K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. K(x \ 1,L(y,z,u)) != w | K(y,L(x,z,u)) = w. K(x * (y * z),x * y) != u | K(z,L(x * y,y,x)) = u. K(x,(K(y,z) * u) \ T(w,K(z,y))) != v5 | K(x,L(u \ (w * K(z,y)),w * K(z,y),K(y,z))) = v5. K(x,K(y,L(z,u,w))) != v5 | K(y,L(K(z,x),u,w)) = v5. K(x,(x / L(y,z,u)) * y) != w | K(x,y * (L(y,z,u) \ x)) = w. 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)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). L(x,y,a(z,u,K(y,w))) != v5 | x = v5. a(x,y,a(z,u,K(y,w))) = 1. x / (a(y,z,K(u,w)) * x) != v5 | K(u * (L(w,z,y) \ w),u) = v5. x != K(y,T(z \ (T(y,u) \ w),u)) | K(y,T(y \ (z \ w),u)) = x. K(x,T(x \ (y \ z),u)) = K(x,T((T(x,u) * y) \ z,u)). K(x,T((T(x,y) * z) \ u,y)) = K(x,T(x \ (z \ u),y)). K(x,T((T(x,y) * y) \ z,y)) != u | K(x,z / (x * ((x * y) / x))) = u. K(x,y / (x * ((x * z) / x))) = K(x,T(x \ (z \ y),z)). K(x,T(x \ (y \ z),y)) = K(x,z / (x * ((x * y) / x))). x != K(y,z / (y * (u / y))) | K(y,z / u) = x. 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,T(x \ (y \ z),y)) != u | K(x,x \ (z / y)) = u. K(x,x \ (y / z)) = K(x,y / (x * z)). K(x,y / (x * z)) = K(x,x \ (y / z)). K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,y / (z * x)) != u | K(x,(x \ y) / z) = u. K(x,(x \ y) / z) = K(x,x \ (y / z)). K(x,y / (((x \ z) * u) * x)) != w | K(x,y / (z * u)) = w. K(x,y / (z * u)) = K(x,x \ (y / ((x \ z) * u))). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). K(x,(y * z) / (z * x)) = K(x,x \ y). K(x,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). x != K(y,z) | K(y,R(z,y,u)) = x. K(x,R(x \ y,x,z)) = K(x,(y * u) / (u * x)). a(x,y,x) = K(z,u / w) * K((z * u) / w,z). K(x,(y * z) / (z * x)) != u | K(x,x \ y) = u. K((x / y) \ z,z) = K((z * y) / x,z). K((x * y) / z,x) = K((z / y) \ x,x). K((x * y) / z,x) != u | K(y / (x \ z),x) = u. K(x / (y \ z),y) = K((z / x) \ y,y). K(x,x \ ((x * y) / z)) != u | K(x,y / z) = u. K(x,y / ((x \ z) * u)) = K(x,(x * y) / (z * u)). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,((y * z) / u) \ x) = K(x,u / ((x \ y) * z)). K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x). x != T(y,K(z,u)) * K(w,z) | T(y * K(w,z),K(z,u)) = x. T(x * K(y,z),K(z,u)) = (K(u,z) * x) * (K(z,u) * K(y,z)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). T(x,y \ 1) * K(z,L(u,y \ x,y)) = y * ((x / y) * K(z,u)). K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). K(x * y,x) != z | K(y,x) = z. K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). K(x,y \ L(y,z,u)) = a(u,z,K(y,x)). K(L(x,y,y \ 1) \ x,z) != u | 1 = u. 1 = a(x \ 1,x,K(y,z)). a(x \ 1,x,K(y,z)) = 1. a(x,y,K(L(y,z,u) \ y,w)) = 1. L(K(x,y),z,z \ 1) = K(x,y). K(x,L(y,z,z \ 1)) = K(x,y). L(K(x,y),z \ 1,z) = K(x,y). (x \ 1) \ K(y,z) = x * K(y,z). K(x,y) / (z \ 1) = K(x,y) * z. x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). K(x,y) / z = K(x,y) * (z \ 1). K(x,y) * (z \ 1) = K(x,y) / z. K(x \ y,L(z,x,x \ 1)) != u | K((x \ 1) * y,z) = u. K((x \ 1) * y,z) = K(x \ y,z). K(x,L(y / z,z,z \ 1)) != u | K(x,y * (z \ 1)) = u. K(x,y * (z \ 1)) = K(x,y / z). K(x,L(L(y,z,z \ 1),u,w)) = K(x,L(y,u,w)). K(x,L(y,z \ 1,z)) = K(x,y). K(x,(y \ 1) * z) = K(x,y \ z). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,T(y * (z \ 1),u)) = K(x,T(y / z,u)). K(x,y * z) = K(x,y / (z \ 1)). K(x,y / (z \ 1)) = K(x,y * z). T(x,L(y,z,z \ 1)) = x * K(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(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. x * y != (z \ 1) \ y | L(z,z \ 1,y) = x. L(x,x \ 1,K(y,z)) = x. x * K(y,z) != u \ K(y,z) | x \ 1 = u. x \ K(y,z) != u * K(y,z) | u \ 1 = x. (1 / x) \ K(y,z) = x * K(y,z). x / y != x * (z / x) | x / z = y. K(x,y) / z = (z / K(x,y)) \ 1. (x / K(y,z)) \ 1 = K(y,z) / x. K(x,y) / z = K(x,y) * (1 / z). K(x,y) * (1 / z) = K(x,y) / z. K(x,y) / T(z,u) = K(x,y) * (K(u,z) / z). K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). (x \ K(y,z)) * K(z,y) = x \ 1. T(x \ K(y,z),K(z,y)) = K(y,z) * (x \ 1). K(x,y) * (z \ K(y,x)) = T(z \ 1,K(y,x)). T(x,y \ K(x,z)) = T(x,y \ 1). K(x,y) * (K(y,x) / z) = z \ 1. (K(x,y) / z) * K(u,L(w,z \ 1,K(x,y))) = K(x,y) * ((z \ 1) * K(u,w)). K(x,y \ z) = K((z \ 1) * y,x). K((x \ 1) * y,z) = K(z,y \ x). K((x \ 1) * y,z) != u | K((1 / x) * y,z) = u. K((1 / x) * y,z) = K(x \ y,z). K((((x * y) \ x) \ 1) * z,y) != u | K(z * (((x * y) \ x) \ 1),y) = u. K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). K(x,y) = K(z \ ((z \ 1) \ x),y). K(x \ ((x \ 1) \ y),z) = K(y,z). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). x != K(y,z / y) | K(y,y \ z) = x. K(x,x \ y) = K(x,y * (x \ 1)). K(x,y * (x \ 1)) = K(x,x \ y). K(x,(y * ((z \ y) / y)) * (u \ 1)) != w | K(x,(u \ K(y * ((z \ y) / y),u \ 1)) * (y / z)) = w. K(x,(y \ K(z * ((u \ z) / z),y \ 1)) * (z / u)) = K(x,(z * ((u \ z) / z)) / y). K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. K(x,y * (1 / z)) = K(x,y / z). K(x,y * z) = K(x,y / (1 / z)). K(x,y / (1 / z)) = K(x,y * z). T(x,y * (z \ 1)) = x * K(x,y / z). T(x,(y \ 1) * z) = x * K(x,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). x != K(y,z) | L(K(y,z),u \ 1,u) = x. L(K(x,y * z),u \ 1,u) = K(x,(y \ 1) \ z). K(x,T(y \ 1,y) \ z) = K(x,y * z). (x * K(y,z)) \ 1 = K(z,y) / x. K(x,y) * (K(y,x) / z) = 1 / z. (1 / x) * K(y,1 / x) = K(y,1 / x) / x. T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). (x * y) * (K(y,x) / z) = (y * x) * (1 / z). T(K(x,y) / z,K(y,x)) = (1 / z) * K(x,y). ((x / y) \ x) * z != u | y * z = u. x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). L(x,T(y,y \ 1),y \ K(y,z)) = (y \ 1) * (((y \ K(y,z)) \ K(y,z)) * x). (x \ 1) * (((x \ K(x,y)) \ K(x,y)) * z) = L(z,T(x,x \ 1),x \ K(x,y)). K(x,y) * z = (z \ K(y,x)) \ 1. (x \ K(y,z)) \ 1 = K(z,y) * x. K(x * y,z) = K(z,y \ (x \ 1)). K(x,y \ (z \ 1)) = K(z * y,x). K((x \ 1) * y,z) != u | K(x \ y,z) = u. K(x * (y * z),T(u,x * y)) != w | K(L(z,y,x) * (x * y),u) = w. K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * x),T(u,(1 / z) * y)). K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * T(x,(1 / z) * y)),u). K(x / y,z) = K(x * (y \ 1),z). K(x * (y \ 1),z) = K(x / y,z). K(x \ (y * z),y) != u | K(y * (x \ z),y) = u. K(x * ((y \ 1) \ z),x) = K(y * (x * z),x). K((x \ K(x,y)) \ z,u) = K(((y * x) / y) * z,u). K(T(x \ 1,y) \ z,u) = K((x * K(y,x \ 1)) * z,u). K((x * K(y,x \ 1)) * z,u) = K(T(x \ 1,y) \ z,u). x * K(y,x * (y \ 1)) = y * (x / y). K(x,((1 / y) * z) * u) != w | K(x,((y \ 1) * z) * u) = w. K(x,((y \ 1) * z) * (1 / u)) = K(x,((1 / y) * z) / u). 1 / (x * K(y,z)) = K(z,y) / x. (K(x,y) / z) * K(u,w) = (z * K(y,x)) \ K(u,w). (x * K(y,z)) \ K(u,w) = (K(z,y) / x) * K(u,w). (K(x,y) * z) \ 1 = (z \ 1) * K(y,x). (K(x,y) * z) \ 1 = z \ K(y,x). K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). x \ T(x * y,z) = y * K(x * y,z). K(x,K(y * z,u)) = K(x,K(z \ (y \ 1),u)). K(x,K(y \ (z \ 1),u)) = K(x,K(z * y,u)). K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. K(x * (1 / y),z) = K(x / y,z). K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). K(x * y,z) = K(x / (y \ 1),z). K(x / (y \ 1),z) = K(x * y,z). 1 / (x * K(y,z \ 1)) = K(1 / z,y) / x. T(1 / (K(x,y) / x),y) = 1 / (1 / x). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(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). T(x,y) = T(x,L(y,z,z \ 1)). T(x,L(y,z,z \ 1)) = T(x,y). T(x,L(y,z,z \ 1)) != u | T(x,y) = u. L(x,y,y \ 1) * T(z,x) = z * L(x,y,y \ 1). T(x,L(y,z \ 1,z)) = T(x,y). T(x,(y \ 1) * z) = T(x,y \ z). T(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,y * (z \ 1)) = T(x,y / z). T(x,y * z) = T(x,y / (z \ 1)). T(x,y / (z \ 1)) = T(x,y * z). T(x,T(y * z,u)) = T(x,T((y \ 1) \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T(y * z,u)). T(x,(y \ a(z,u,z)) * w) = T(x,y \ w). T(x,(1 / y) * z) = T(x,y \ z). (L(x,y,z) \ 1) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ 1) * u). T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). K(x,T(y,z \ u) * ((z \ 1) * u)) = K(x,((z \ 1) * u) * y). T(x,(y \ 1) \ T(T(z,y),u)) = T(x,T(z,u) * y). T(x,(y \ 1) * z) != u | T(x,y \ z) = u. T(x,y \ (z \ 1)) = T(x,(y \ 1) / z). T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). T(x,y * z) = T(x,y / (1 / z)). T(x,y / (1 / z)) = T(x,y * z). T(x,y * (z \ a(u,w,u))) = T(x,y / z). T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). T(x,y * ((z \ K(u,w)) * K(w,u))) = T(x,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))). T(x,(x \ y) / z) != u | T(x,x \ (y / z)) = u. T(x,x \ (y / (z \ 1))) = T(x,(x \ y) * z). T(x,y * (z \ 1)) != u | T(x,y / z) = u. K(x,T((y \ z) \ 1,y \ z) \ u) = K(x,T(u,z \ y) * (y \ z)). x * K(1 / y,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). (x * y) \ 1 = ((T(x,z) * y) \ 1) * K(x,z). ((T(x,y) * z) \ 1) * K(x,y) = (x * z) \ 1. T(x,y) / (z \ x) = z * K((z \ x) * z,y). T(x,y) / z = (x / z) * K(z * (x / z),y). (x / y) * K(y * (x / y),z) = T(x,z) / y. x \ T(y,z) = (x \ y) * K(x * (x \ y),z). (x \ y) * K(x * (x \ y),z) = x \ T(y,z). L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z). T(x * K(y * x,z),y) = y \ T(x * y,z). x \ (L(y,z,x) * (x * z)) = (z * y) * K(x * (z * y),x * z). x \ T(x * y,z) = y * K(z,(x * y) \ 1). (x \ T(x * y,z)) \ y = K(z,x * y). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). T(x,(y \ 1) / T(z,u)) = T(x,y \ T(z \ 1,u)). K(x * (y \ 1),x) != z | K(y \ x,x) = z. T(x,y * (z \ a(u,w,u))) != v5 | T(x,y / z) = v5. T(x,(y \ 1) / z) != u | T(x,y \ (z \ 1)) = u. K(x / y,x) != z | K(y \ x,x) = z. K(x,T(y * z,u)) = K(x,T(y / (z \ 1),u)). K(x,T(y / (z \ 1),u)) = K(x,T(y * z,u)). K(x,T(y \ z,u)) = K(x,T((1 / y) * z,u)). K(x,T((1 / y) * 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(x,T(T(y \ 1,z) \ u,w)) = K(x,T(T(y,z) * u,w)). x != y * 1 | y = x. K(a(x,y,z),u) = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u). K(L(x,y,z) \ x,u) != w | a(z,y,K(x,u)) = w. a(x,y,K(z,u)) = K(a(x,y,z),u). x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x. L(K(a(x,y,z),u),w,v5) = a(x,y,K(z,L(u,w,v5))). a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). K(x * a(y,z,u),x) = a(y,z,K(u,x)). T(K(a(x,y,z),u),w) = a(x,y,K(z,T(u,w))). a(x,y,K(z,T(u,w))) = T(K(a(x,y,z),u),w). a(x,y,K(z,y)) != u | 1 = u. 1 = K(a(x,y,z),y). K(a(x,y,z),y) = 1. a(x,y,K(y,z)) != u | 1 = u. 1 = K(a(x,y,y),z). K(a(x,y,y),z) = 1. K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K((z * u) \ y,x)). a(x,y,K(z,u)) * (u * a(x,y,z)) = a(x,y,z) * u. a(x,y,K(z,u)) * (u * a(x,y,z)) != w | a(x,y,z) * u = w. x * a(y,z,K(u,x)) != w | T(x,a(y,z,u) \ x) = w. a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. (x * (y * a(z,u,w))) * a(z,u,K(w,y)) = x * (a(z,u,w) * y). ((x * y) * z) * a(x,y,K(z,u)) = (x * (y * z)) * T(a(x,y,z),u). (x * y) * a(z,u,K(w,x)) = x * (y * K(a(z,u,w),x)). T(x / T(y,a(z,u,w)),y) = (y \ x) * a(z,u,K(w,y)). T(a(x,y,z),y) = a(x,y,z). T(a(x,y,y),z) = a(x,y,y). x * a(y,x,z) = a(y,x,z) * x. a(x,y,z) * y = y * a(x,y,z). x / a(y,x,z) = a(y,x,z) \ x. T(x,a(y,z,z)) = x. x * a(y,z,z) = a(y,z,z) * x. a(x,y,y) * z = z * a(x,y,y). (a(x,y,y) \ z) * a(x,y,y) = z. x / a(y,z,z) = a(y,z,z) \ x. x / a(y,z,z) != u | a(y,z,z) \ x = u. T(x,a(y,z,z)) != u | x = u. x != a(y,z,z) \ u | u / a(y,z,z) = x. a(x,y,y) \ z != u | z / a(x,y,y) = u. a(x,y,y) * z != u | z * a(x,y,y) = u. x / (a(y,x,z) * x) = x \ (a(y,x,z) \ x). x * (a(y,z,z) * u) = x * (u * a(y,z,z)). x != a(y,z,K(u,w)) | K(w * (L(u,z,y) \ u),w) = x. K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x). x * K(y / x,x) != z | y / (y / x) = z. x / (x / (1 / y)) = K(x / (1 / y),1 / y) / y. K(x / (1 / y),1 / y) / y = x / (x / (1 / y)). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). 1 / (x \ K(y,x \ 1)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,x \ 1)). T(x,y * T(1 / z,u)) = T(x,y / T(z,u)). T(x,y) / (z \ x) = z * K(x,T(y,z)). x != y * K(z,T(u,y)) | K(z,u) * y = x. K(x,y) * z = T(x,y) / (z \ x). T(x,y) / (z \ x) = K(x,y) * z. T(x,y) / z = K(x,y) * (x / z). K(x,y) * (x / z) = T(x,y) / z. T(x,y) / (K(z,u) * x) = K(x,y) * K(u,z). T(x,y) / T(z \ 1,x * z) = K(x,y) * ((z \ 1) \ x). K(x,y) * (T(y,x) / z) = y / z. x * (K(y,x) * (y / L(x,z,u))) = (y / L(x,z,u)) * x. x * (T(x,y) / z) = T(x,y) * (x / z). T(x,y) * (x / z) = x * (T(x,y) / z). T(x,y) \ (T(x,y) / z) = x \ (x / z). T(x,y) * (T(y,x) / z) = x * (y / z). K(x,y) * (T(x,y) / z) = T(T(x,y),y) / z. T(T(x,y) / z,x) = K(x,y) * (z \ x). T(T(x,y) / z,K(y,x)) = (x / z) * K(x,y). K(x,y) * z = y / (z \ T(y,x)). x / (y \ T(x,z)) = K(z,x) * y. K(x,y / x) * ((x \ y) / z) = (y / x) / z. (K(x,y) * z) \ y = z \ T(y,x). x / (y \ T(x,(z * x) / u)) = K(u \ (z * x),T(x,z)) * y. x / (y \ T(x,z)) != u | K(z,x) * y = u. ((x / y) * z) \ x = ((y \ x) * z) \ T(x,y). ((x \ y) * z) \ T(y,x) = ((y / x) * z) \ y. (x * K(y,z)) \ z = T(x,K(z,y)) \ T(z,y). T(x,K(y,z)) \ T(y,z) = (x * K(z,y)) \ y. (x \ y) \ (T(y / x,x) / z) = (y / x) \ ((y / x) / z). T(x,y) * (L(x,z,u) \ 1) = T(T(x,y) / L(x,z,u),x). T(T(x,y) / L(x,z,u),x) = T(x,y) * (L(x,z,u) \ 1). x * T(T(x,y) / z,x) = T(x,y) * (z \ x). (x / y) * K(x,T(z,y)) = T(x,z) / y. a(x,T(y,z) / u,K(y,w)) = a(x,y / u,K(y,w)). (x \ y) * K(y,z) = x \ T(y,z). K(x,y) * (z \ x) = z \ T(x,T(y,z)). x \ T(y,T(z,x)) = K(y,z) * (x \ y). L(x \ 1,x,y) * T(y,z) = x \ T(y,z). (x \ T(y,z)) * K(z,y) = x \ y. x != y \ T(z,u) | (K(u,z) * y) \ z = x. (K(x,y) * z) \ y = (z \ y) * K(y,x). (x \ y) \ (x \ T(y,z)) = K(y,z). T(x,y) * K(x * y,z) = y \ T(x * y,z). (x \ T(y,z)) * L(u,K(y,z),x \ y) = (x \ y) * (K(y,z) * u). (x \ (y * (z * u))) * K(y * (z * u),y * z) = x \ (L(u,z,y) * (y * z)). (x \ y) * K(z,y) = x \ T(y,z \ y). x \ T(y,z \ y) = (x \ y) * K(z,y). T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y). x * K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,x). (x \ (y \ z)) * K(y,z / y) = x \ (z / y). R(x \ T(y,z),K(z,y),K(z,y) \ 1) / (x \ y) = K(z,y) \ K((x \ T(y,z)) * K(z,y),K(z,y) \ 1). K(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = R(z \ T(y,x),K(x,y),K(x,y) \ 1) / (z \ y). (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ T(y,z),y)). x / (y * K(z,x)) = T(x,z) / y. ((x * y) / z) \ (y * x) = z * K(y,y * x). x / y = T(x,z) / (y * K(x,z)). T(x,y) / (z * K(x,y)) = x / z. x / (y / z) = T(x,z) / (y / T(z,x)). T(x,y) / (z / T(y,x)) = x / (z / y). x / (y * (z * x)) = T(x,z) / (y * (x * z)). T(x,y) / (z * (x * y)) = x / (z * (y * x)). x / (y * K(x * K(z,x),z)) = (x * K(z,x)) / y. K(x,y) * (y / z) = y / (z * K(y,x)). x / (y * K(x,z)) = K(z,x) * (x / y). x != y * K(z,u) | y / K(u,z) = x. (x \ y) / K(z,y) = (K(z,y) * x) \ y. L(x \ y,x,K(z,y)) = ((K(z,y) * x) \ y) * K(z,y). x \ (y * K(z,y)) = (x \ y) * K(z,y). K(x,(y / T(z,u)) \ T(T(u,z),(y / T(z,u)) \ 1)) = K(x,u / (y / z)). x \ (y * K(x / y,y)) != z | (y * (x / y)) \ y = z. (x * (y / x)) \ x = (y \ x) * K(y / x,x). (x \ y) * K(x / y,y) = (y * (x / y)) \ y. x * y != z \ y | L(z \ 1,z,y) = x. L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). (x \ T(y,z)) * (T(y,z) \ 1) = L(L(x \ 1,x,y),T(y,z),T(y,z) \ 1). L(L(x \ 1,x,y),T(y,z),T(y,z) \ 1) = (x \ T(y,z)) * (T(y,z) \ 1). T(x,y) / L(z \ 1,z,x) = T(x,y) * z. L(x \ 1,x,y) * L(L(x \ 1,x,T(y,z)) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),x,T(y,z)). (T(x,y) * z) \ x = L(z \ 1,z,x) * K(y,x). L(x \ 1,x,y) * K(z,y) = (T(y,z) * x) \ y. T(((x / y) \ 1) * K(x * ((x / y) \ 1),x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). T(x * K(x * y,z),T(y,x)) = T(y,x) \ T(x * T(y,x),z). x \ T(x * y,z) = y * K(z,L(y \ (x \ 1),y,x)). x * K(y,L(x \ (z \ 1),x,z)) = z \ T(z * x,y). a(x,y,K(z,u)) = K(z,a(x,y,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). T(x,a(y,z,u)) = x * a(y,z,K(x,u)). x * a(y,z,K(x,u)) = T(x,a(y,z,u)). T(x,a(y,z,u)) = a(y,z,K(x,u)) * x. a(x,y,K(z,u)) * z = T(z,a(x,y,u)). x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. a(x,y,K(z,u)) * (z * w) = T(z,a(x,y,u)) * w. a(x,y,K(z,u)) * (z * w) != v5 | T(z,a(x,y,u)) * w = v5. (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. (x \ K(y,z)) * a(u,w,K(x \ 1,y)) = T(x \ K(y,z),a(u,w,y)). x * a(y,z,K(x,u)) = T(x,a(y,z / u,u)). T(x,a(y,z / u,u)) = x * a(y,z,K(x,u)). x / (x * a(y,x,z)) = x \ (a(y,x,z) \ x). T(x,y * (z * ((1 / u) / z))) = T(x,y / T(u,z \ 1)). (K(x,y) * K(z,u)) * K((K(u,z) * x) \ T(x,y),K(u,z) * x) = (K(u,z) * x) \ T(x,y). L(x \ y,x,y \ z) = ((z / y) * x) \ z. (x \ (y * (z * x))) \ T(y * z,x) = (((y * z) / x) * L(x,z,y)) \ (y * z). ((x / y) * z) \ x != u | L(z \ y,z,y \ x) = u. x / L(y \ z,y,z \ x) = (x / z) * y. L(x,y,(y * x) \ z) = ((z / (y * x)) * y) \ z. T((x / y) * z,x) = L(z \ y,z,y \ x) \ x. L(x \ y,x,y \ z) \ z = T((z / y) * x,z). x / L(y,z,(z * y) \ x) = (x / (z * y)) * z. T(x,K(y,z)) \ T(y,u) != w | T(x \ T(y,u),K(z,y)) = w. T(x \ T(y,z),K(z,y)) = (x * K(z,y)) \ y. (T(x,y) / z) * x = T(x,y) * (z \ x). T(x,T(y,z) \ 1) * y = T(y,z) * ((T(y,z) / x) \ y). T(x,y) * ((T(x,y) / z) \ x) = T(z,T(x,y) \ 1) * x. x != y \ T(z * y,u) | T(z * K(y * z,u),y) = x. T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). (x \ (y \ z)) * K(y,z) = x \ (z / y). ((x * y) / z) \ (y * x) = z * K(y,x). x != a(y,z,u) * y | y * a(y,z,u) = x. K(x,y) * a(K(x,y),z,u) = ((y * x) / a(K(x,y),z,u)) \ (x * y). ((x * y) / a(K(y,x),z,u)) \ (y * x) = K(y,x) * a(K(y,x),z,u). (x * y) / (z * K(x,y)) = (y * x) / z. R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). x \ (y * z) = (x \ (z * y)) * K(y,z). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) / (z \ T(x,y)) = (y * x) / (z \ x). T(x,y) / ((y \ 1) * (x * y)) != z | ((y \ 1) * (x * y)) \ T(x,y) = z. ((x \ 1) * (y * x)) \ T(y,x) = y / ((x \ 1) * (x * y)). T(x \ T(y,z),K(z,y)) != u | K(y,z) * (x \ y) = u. K(x,y) * (z \ x) = (z * K(y,x)) \ x. (x * K(y,z)) \ z = K(z,y) * (x \ z). (x \ K(y,z)) \ z = K(z,y) * ((x \ 1) \ z). K(x,y) * ((z \ 1) \ x) = (z \ K(y,x)) \ x. K(x,L((y \ 1) * z,u,w)) = K(x,L(y \ z,u,w)). K(x,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). K(x,L(y / (z \ 1),u,w)) = K(x,L(y * z,u,w)). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,K(y,(z \ 1) \ u)) != w | K(x,K(y,z * u)) = w. K(x,T(y \ 1,y) \ z) != u | K(x,y * z) = u. K(x,T(y,z) \ u) != w | K(x,T(y \ 1,z) * u) = w. K(x,T(y / (z \ 1),z)) != u | K(x,z * y) = u. K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. K(x,(y \ K(z,u)) \ w) != v5 | K(x,(K(u,z) * y) * w) = v5. L(x \ 1,x,y) * K(z,y) != u | (x \ y) / T(y,z) = u. (x \ y) / T(y,z) = (T(y,z) * x) \ y. (x \ y) / T(y,x) != z | (x \ (y / x)) / (x \ y) = z. (x \ (y / x)) / (x \ y) = (T(y,x) * x) \ y. (T(x,y) * ((T(x,y) * y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). (x \ (y / x)) / (x \ y) = T(y * x,x) \ y. x != T(y * z,z) \ y | y / (y * z) = x. x / (x * y) = (y \ (x / y)) / (y \ x). (x \ (y / x)) / (x \ y) = y / (y * x). T(x,a(y,z / u,u)) != w | T(x,a(y,z,u)) = w. x != ((y / (z * u)) * z) \ y | L(u,z,y / (z * u)) = x. L(x,y,z / (y * x)) = L(x,y,(y * x) \ z). L(x,y,(y * x) \ (z * K(y,x))) = ((z / (x * y)) * y) \ (z * K(y,x)). x / L(y,T(z,y \ 1),(y * z) \ x) = (x / (T(z,y \ 1) * y)) * T(z,y \ 1). (((x / (y * z)) * y) * z) \ (x * z) = L(z,y,(y * z) \ x). K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,T(y,z) * z) != u | K(x,z * y) = u. K(x,T(T(y,z),u) * z) != w | K(x,z * T(y,u)) = w. K(x,K(((y * z) / y) * (x \ u),w)) = K((z \ K(z,y)) \ u,K(x,w)). K((x \ K(x,y)) \ z,K(u,w)) = K(u,K(((y * x) / y) * (u \ z),w)). K(x,(K(y * z,y) * u) \ w) = K(x,(u \ K(y,z)) * w). K(x,y / z) = K(x,y * (z \ K(x,u))). K(x,y * (z \ K(x,u))) = K(x,y / z). K(x,y / (a(z,u,z) * w)) = K(x,y * ((K(v5,v6) * w) \ K(v5,v5 * v6))). K(x,y * (z \ K(x,u))) != w | K(x,y / z) = w. K(x,y * (T(z / u,z) \ w)) != v5 | K(x,y * ((u \ z) \ w)) = v5. K(x,y * ((z \ u) \ K(x,w))) = K(x,y / T(u / z,u)). K(x,y / T(z / u,z)) = K(x,y * ((u \ z) \ K(x,w))). K(x,y * (z \ 1)) != u | K(x,y / z) = u. K(x,y * (1 / z)) != u | K(x,y / z) = u. K(x,y * T(z \ 1,u)) != w | K(x,y / T(z,u)) = w. L(x \ y,z,u) * T(x,x \ y) != w | T(x * L(x \ y,z,u),y) = w. T(x * L(x \ y,z,z \ 1),y) = x * L(x \ y,z,z \ 1). T(x \ 1,T((x \ 1) \ T(y,x),z)) = T(x \ 1,T(y,z) * x). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). K(x,y \ ((z \ u) * (w / (z \ u)))) = K(x,y \ T(w,u \ z)). T(x,y \ (T(z,u) \ 1)) = T(x,y \ T(z \ 1,u)). T(x,y \ T(z \ 1,u)) = T(x,y \ (T(z,u) \ 1)). a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). x != K(y * z,y) | K(y,z) \ a(u,w,u) = x. K(x,a(y,z,u)) \ a(w,v5,w) = K(x * (L(u,z,y) \ u),x). K(x * (L(y,z,u) \ y),x) = K(x,a(u,z,y)) \ a(w,v5,w). K(x * y,1 / y) / y = x / (x / (1 / y)). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. x * K(1 / x,y) = 1 / (x \ K(y,x \ 1)). 1 / (x \ K(y,x \ 1)) = 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 != a(y,z / u,K(z,w)) | a(y,u \ z,K(z,w)) = x. a(x,y \ z,K(z,u)) = a(x,T(z,w) / y,K(z,u)). a(x,T(y,z) / u,K(y,w)) = a(x,u \ y,K(y,w)). x / (y * K(x,z)) = (x * K(z,x)) / y. (x * K(y,x)) / z = x / (z * K(x,y)). x != y / (z * K(y,u)) | K(u,y) * (y / z) = x. K(x,y) * (y / z) = (y * K(x,y)) / z. (x * K(y,x)) / z = K(y,x) * (x / z). (x / (x / y)) / z = K(y \ x,y) * (y / z). K(x,(y / (y / z)) / u) = K(x,K(y,z) * (z / u)). T(K(x,y) * K(z * K(x,y),u),z) = K(x,T(y,z)) * K(K(x,y) * z,u). K(x,(y * (z / y)) / u) = K(x,K(y,z) * (z / u)). L(x * K(T(y,z) * x,z),T(y,z),z) = (y * z) \ ((T(y,z) * x) * z). L(x \ y,x,K(z,y)) / K(z,y) = (K(z,y) * x) \ y. x * K(L(y,x,z),x \ (z \ 1)) = z \ T(z * x,y). x != (y * z) * K(z,u) | y * T(z,u) = x. x * T(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,x). R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). R(L(x,y,z),x,u) \ (u * (x * L(x,y,z))) = x * T(u,L(x,y,z) * x). (x * (y * (x * z))) / (x * (z * T(y,x * z))) = R(x,z,y). R(x,y,z) = (x * (z * (x * y))) / (x * (y * T(z,x * y))). R(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,a(x,y,z) * x). x / K(y,z) != (K(y,z) * u) \ z | u \ z = x. x \ y = L(x \ y,x,K(z,y)). L(x \ y,x,K(z,y)) = x \ y. L(x \ y,x,K(y,z)) = x \ y. L(x \ (y * z),x,K(z,y)) = x \ (y * z). L(x \ (y * z),x,K(z,y)) != u | (K(z,y) * x) \ (z * y) = u. (K(x,y) * z) \ (x * y) = z \ (y * x). a(x,y,z) = (K(z,x * y) * (x * (y * z))) \ (z * (x * y)). (x * y) / (z \ (y * x)) = K(x,y) * z. (((x * y) / x) * z) \ (x * y) = (y * z) \ (y * x). (x * L(y,x,z)) \ (x * y) = (L(y,x,z) * x) \ (y * x). (L(x,y,z) * y) \ (x * y) = (y * L(x,y,z)) \ (y * x). (x * y) / z = K(x,y) * ((y * x) / z). K(x,y) * ((y * x) / z) = (x * y) / z. ((x * y) / z) / x = K(x,y) * (((y * x) / z) / x). K(x,y) * (((y * x) / z) / x) = ((x * y) / z) / x. T(x * y,L(z,y,x)) = T(x * y,z). T(x * y,(x * y) \ z) = T(x * y,y \ (x \ z)). (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). T(T(x * y,z),x) = T(y * x,L(z,y,x)). T(x * y,L(z,x,y)) = T(T(y * x,z),y). K(x * y,L(z,y,x)) = (x * y) \ T(x * y,z). (x * y) \ T(x * y,z) = K(x * y,L(z,y,x)). L(x,y,z) * T(z * y,x) = z * (y * x). L(x,y,z) \ (z * (y * x)) != u | T(z * y,x) = u. L(x,y,z) * (z * y) = (z * (y * x)) * K(x,z * y). (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). L(x,K(y,T(z,x)),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). L(a(x,y,y),z,u) = (u * (a(x,y,y) * z)) / T(u * z,a(x,y,y)). (x * (a(y,z,z) * u)) / T(x * u,a(y,z,z)) = L(a(y,z,z),u,x). x != T(T(y * z,u),y) | T(z * y,u) = x. T(x * y,z) = T(x * y,L(z,x,y)). T(x * y,L(z,x,y)) = T(x * y,z). T((x / y) * (x \ 1),((x \ 1) * (x / y)) \ 1) = T((x / y) * (x \ 1),y). L(x,y,y \ z) * T((z / y) * y,x) = (z / y) * (y * x). K(x * y,z) = K(x * y,L(z,y,x)). K(x * y,L(z,y,x)) = K(x * y,z). K(x * y,z) * u != K(x * y,L(z,y,x)) | 1 = u. 1 = a(x,y,K(z,x * y)). a(x,y,K(z,x * y)) = 1. K(x,L(y,z,x / z)) = K((x / z) * z,y). K((x * y) * z,(x * y) * L(z,y,x)) = 1. K(x,L(y,z,x / z)) = K(x,y). K(x,(x / y) * z) = K(x,y \ z). K(x,L(y,z \ x,z)) = K(x,y). K(x,x \ ((x / y) * z)) = K(x,y \ z). K(x * y,L(z,x,y)) = K(x * y,z). K(x,x \ (y * z)) = K(x,(y \ x) \ z). K(x,(y \ x) \ z) = K(x,x \ (y * z)). K(x,T(x \ (y * z),u)) = K(x,T((y \ x) \ z,u)). K(x,T((y \ x) \ z,u)) = K(x,T(x \ (y * z),u)). K(x,(x / y) * z) != u | K(x,x * (y \ z)) = u. K(x,K(y,(y / z) * u)) != w | K(y,K(x,z \ u)) = w. K(x,x \ (y * (x / z))) = K(x,z \ T(y,x / z)). K(x,y \ T(z,x / y)) = K(x,x \ (z * (x / y))). K(x,((y \ x) \ x) \ z) != u | K(x,y \ z) = u. K(x,y \ z) = K(x,x \ ((y \ x) * z)). K(x,x \ ((y \ x) * z)) = K(x,y \ z). K(x,x \ (y * z)) = K(x,(x / y) \ z). K(x,(x / y) \ z) = K(x,x \ (y * z)). x / (K(y,z \ u) * x) = K(y \ ((z \ y) * u),y). K(x \ ((y \ x) * z),x) = u / (K(x,y \ z) * u). K(x * (x \ ((y \ x) * z)),x) * K(u,K(x,y \ z)) = K(x * (x \ ((y \ x) * z)),T(x,u)). K((x * y) * z,x * (y * z)) = 1. 1 * x = K(a(y,z,u),y * (z * u)) * x. K(a(x,y,z),x * (y * z)) * u = 1 * u. x != K(a(y,z,u),y * (z * u)) * w | w = x. ((x * y) * z) / (x * (y * z)) = a(x,y,z). a(x,y,z) = ((x * y) * z) / (x * (y * z)). x != ((y * z) * u) / (y * (z * u)) | R(y \ R(y,z,u),y,z * u) = x. R(x \ R(x,y,z),x,y * z) = a(x,y,z). a(x,y,z) = R(x \ R(x,y,z),x,y * z). a(x,y,z) \ ((x * y) * z) = x * (y * z). a(x,y,z) * (x * (y * z)) = (x * y) * z. a(x,x \ y,z) = (y * z) / (x * ((x \ y) * z)). (x * y) / (z * ((z \ x) * y)) = a(z,z \ x,y). a(x,y,y \ z) = ((x * y) * (y \ z)) / (x * z). ((x * y) * (y \ z)) / (x * z) = a(x,y,y \ z). a(x,y,(x * y) \ z) \ z = x * (y * ((x * y) \ z)). a(a(x,y,z),x,u) = ((x * a(x,y,z)) * u) / (a(x,y,z) * (x * u)). ((x * a(x,y,z)) * u) / (a(x,y,z) * (x * u)) = a(a(x,y,z),x,u). a(x,y,z) * K(x,y * z) = ((x * y) * z) / ((y * z) * x). ((x * y) * z) / ((y * z) * x) = a(x,y,z) * K(x,y * z). ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. T((x * (y * z)) * a(x,y,z),u) / a(x,y,z) = a(x,y,z) \ T((x * y) * z,u). (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). T(a(x,y,z),u) * (x * (y * z)) = K(a(x,y,z),u) * ((x * y) * z). K(a(x,y,z),u) * ((x * y) * z) = T(a(x,y,z),u) * (x * (y * z)). a(x,y,y \ z) * (x * z) = (x * y) * (y \ z). a(x,x \ y,y \ z) \ z = x * ((x \ y) * (y \ z)). a(K(x,T(y,z)),z,z \ u) * (K(x,T(y,z)) * u) = (z * K(x,y)) * (z \ u). T(x * y,z) = T(x * y,y \ (x \ z)). T(x * y,y \ (x \ z)) = T(x * y,z). L(L(x,y,z),u,w) \ (z * (y * L(x,u,w))) != v5 | T(z * y,L(x,u,w)) = v5. K(x,y / (z \ x)) = K(x,T(x \ (z * y),y)). K(x,T(x \ (y * z),z)) = K(x,z / (y \ x)). K(x,T(x \ (y * z),z)) != u | K(x,x \ (z * y)) = u. K(x,x \ (y * z)) = K(x,y / (z \ x)). K(x,y / (z \ x)) = K(x,x \ (y * z)). K(x,y / z) = K(x,x \ (y * (x / z))). K(x,x \ (y * (x / z))) = K(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 \ x) * z),x) != u | K(y \ z,x) = u. K(x \ (y \ x),x) = K(y \ 1,x). K(x \ (y * z),x) = K((x / y) \ z,x). K((x / y) \ z,x) = K(x \ (y * z),x). (K(x \ 1,y) * z) \ (y * z) = T(T(y,z),y \ (x \ y)). T(T(x,y),x \ (z \ x)) = (K(z \ 1,x) * y) \ (x * y). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. K((x \ y) \ z,y) = K(y \ (x * z),y). K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. K(x * ((y \ x) \ z),x) = K(x \ (y * (z * x)),x). K(x \ (y * (z * x)),x) = K(x * ((y \ x) \ z),x). K((x \ y) \ T(z,y \ x),u) != w | K(z / (x \ y),u) = w. K(x / (y \ z),z) = K(z \ (y * T(x,z \ y)),z). K(x \ (y * T(z,x \ y)),x) = K(z / (y \ x),x). R(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. K(x \ (y * (z * x)),x) != u | K(y * z,x) = u. K(x * y,z) = K(z * ((x \ z) \ y),z). K(x * ((y \ x) \ z),x) = K(y * z,x). K(x * (T(y,x) \ z),x) = K((y \ x) * z,x). K(x * (T(y,z) \ u),z) != w | K(x * (y \ u),z) = w. K(x * (y \ z),x) = K((y \ x) * z,x). K((x \ y) * z,y) = K(y * (x \ z),y). ((x \ (x / y)) * (z * y)) * K(y,z) = L(y,z,x \ (x / y)) * ((x \ (x / y)) * z). L(x,y,z \ (z / x)) * ((z \ (z / x)) * y) = ((z \ (z / x)) * (y * x)) * K(x,y). (x * (y * a(z,u,w))) * a(z,u,K(w,x * y)) = L(a(z,u,w),y,x) * (x * y). x * (y * ((x * y) \ z)) != u \ z | a(x,y,(x * y) \ z) = u. x \ y != z * (u * ((z * u) \ y)) | a(z,u,(z * u) \ y) = x. x * (a(K(x,y),z,(K(x,y) * z) \ u) \ u) = T(x,y) * (z * ((K(x,y) * z) \ u)). x != y * ((y \ z) * u) | z * L(u,y \ z,y) = x. x * L(x \ y,z \ x,z) = a(z,z \ x,x \ y) \ y. a(x,x \ y,y \ z) \ z = y * L(y \ z,x \ y,x). x * (a(K(x,y),K(x,y) \ z,z \ u) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). T(a(x,x \ y,y \ z),u) * (x * ((x \ y) * (y \ z))) != w | K(a(x,x \ y,y \ z),u) * z = w. K(x * (((y * z) \ y) \ 1),z) != u | K(z * x,z) = u. K(x * y,x) = K(((z * x) \ z) \ y,x). K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). K(K(x,y \ 1) * (y * z),u) = K(T(y \ 1,x) \ z,u). K(x,((y \ 1) * z) / u) = K(x,((1 / y) * z) / u). K(x,((1 / y) * z) / u) = K(x,((y \ 1) * z) / u). K(x,L(y,z,z \ 1) / u) = K(x,((z \ 1) * (z * y)) / u). K(x,((y \ 1) * (y * z)) / u) = K(x,L(z,y,y \ 1) / u). (x * y) * a(z,u,K(w,x)) = x * (y * a(z,u,K(w,x))). x != K(y,z) * ((u \ 1) \ y) | (u \ K(z,y)) \ y = x. (x \ K(y,z)) \ z = T(z,y) / T(x \ 1,z * x). T(x,y) / T(z \ 1,x * z) = (z \ K(y,x)) \ x. (x \ y) \ ((x \ y) / z) = (y / x) \ ((y / x) / z). (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). (x / y) \ (y \ ((y \ 1) \ x)) = (y \ x) \ ((y \ x) / (y \ 1)). x * R((y \ x) \ ((y \ x) / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). T(L(x,y,z) \ T(x,u),x) = T(x,u) * (L(x,y,z) \ 1). T(x,y) * ((T(x,y) / z) \ x) = T(z,T(x \ 1,y)) * x. ((x \ 1) * (y * x)) \ T(y,x) = y / L(y,x,x \ 1). x != y / L(y,z,u) | L(y,z,u) \ y = x. L(x,y,y \ 1) \ x = ((y \ 1) * (x * y)) \ T(x,y). ((x \ 1) * (y * x)) \ T(y,x) = L(y,x,x \ 1) \ y. a(x,x \ 1,y) = ((x \ 1) * (y * x)) \ T(y,x). ((x \ 1) * (y * x)) \ T(y,x) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ (K((x \ 1) * (y * x),z) * T(y,x)) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ T(T(y,z),x) = a(x,x \ 1,T(y,z)). K(x,(y \ K(z,z * u)) * w) = K(x,(y \ K(z,u)) * w). x != K(y,z * (u \ K(y,w))) | K(y,z / u) = x. K(x,y / (z \ u)) = K(x,y / T(u / z,u)). K(x,y / T(z / u,z)) = K(x,y / (u \ z)). K(x,y / T(z,u * z)) = K(x,y / (T(u,z) \ (u * z))). K(x,y / (T(z,u) \ (z * u))) = K(x,y / T(u,z * u)). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). x != (y / z) * K(z / u,u) | y / (u * (z / u)) = x. x / (x * (y / x)) = 1 / ((x * ((x / y) \ 1)) / x). 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. x != (K(y,z) * u) \ (z * u) | T(T(z,u),y) = x. T(T(x,y),z \ 1) = T(T(x,y),x \ (z \ x)). T(T(x,y),x \ (z \ x)) = T(T(x,y),z \ 1). K(x * ((1 / y) \ z),T(T(z,y),(1 / y) \ 1)) = K(((z \ ((1 / y) \ z)) * T(z,y)) * x,T(z,y)). K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),T(T(x,y),(1 / y) \ 1)). a(x,x \ y,y \ z) \ z != u | x * ((x \ y) * (y \ z)) = u. T(L(x,y,z) \ T(x,u),x) != w | L(x,y,z) \ T(x,u) = w. L(x,y,z) \ T(x,u) = T(x,u) * (L(x,y,z) \ 1). T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). T(x,y) * (z * K(y,x)) = T(z,T(x \ 1,y)) * x. T(x,T(y \ 1,z)) * y = T(y,z) * (x * K(z,y)). x != T(y,z) * (u * K(z,y)) | T(y * u,K(y,z)) = x. T(x * y,K(x,z)) = T(y,T(x \ 1,z)) * x. T(x,T(y \ 1,z)) * y = T(y * x,K(y,z)). T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). K(x,y / T(z,u)) = K(x,y / T(z,u * z)). K(x,y / T(z,u * z)) = K(x,y / T(z,u)). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). R(x,y,z) = (x * (z * (x * y))) / (L(z,y,x) * (x * y)). L(x,y,y \ z) * T(z,x) = (z / y) * (y * x). ((x / y) * (y * z)) / x = L(z,y,y \ x) * K(x,z). L(x,y,y \ z) * K(z,x) = ((z / y) * (y * x)) / z. T(((x * y) * z) * (a(z,x,y) * K(z,x * y)),u) \ ((x * y) * z) = ((x * y) * z) / T((z * x) * y,u). K(x,R(y,z,z \ 1) / u) = K(x,L(y,z,z \ 1) / u). (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(x \ y,y)). (x \ y) / (x \ T(y,z)) = K(z,y) * K(z,K(y,x \ y)). (x \ y) / (x \ T(y,z)) = K(z,y) * K(y,K(x,z)). x != K(y,z) * K(z,K(u,y)) | K(y,T(z,u)) = x. K(x,T(y,z)) = (z \ y) / (z \ T(y,x)). (x \ y) / (x \ T(y,z)) = K(z,T(y,x)). T(x,T((y \ 1) \ z,u)) != w | T(x,T(y * z,u)) = w. T(x \ 1,T(x * T(y,x),z)) = T(x \ 1,T(y,z) * x). T(x \ 1,T(y * x,z)) = T(x \ 1,T(y,z) * x). x != ((y * z) * u) \ (y * (z * u)) | (y * z) \ ((y * (z * u)) / u) = x. (x * y) \ ((x * (y * z)) / z) = (x * (y * z)) / ((x * y) * z). (x * (y * z)) / ((x * y) * z) = (x * y) \ ((x * (y * z)) / z). (x * y) / z != u | (y * x) / (z * K(y,x)) = u. ((x * y) * z) / (((z * x) * y) * K(x * y,z)) = ((z * x) * y) \ (z * (x * y)). x != y \ (y / (z \ 1)) | L(z,z \ 1,y) = x. L(x,x \ 1,x \ y) = (y / x) \ (x \ ((x \ 1) \ y)). (x / y) \ (y \ ((y \ 1) \ x)) = L(y,y \ 1,y \ x). (x / y) \ (y \ ((y \ 1) \ x)) != z | L(y,y \ 1,x) = z. L(x,x \ 1,y) = L(x,x \ 1,x \ y). L(x,x \ 1,x \ y) = L(x,x \ 1,y). L(x,x \ 1,y) = L(x,x \ 1,x * y). L(x,x \ 1,x * y) = L(x,x \ 1,y). L(T(x,y),x \ 1,x * z) = T(L(x,x \ 1,z),y). ((x * y) * (x \ 1)) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L(x,z,u)). L(T(x,y),x \ 1,z) = L(T(x,y),x \ 1,x * z). L(T(x,y),x \ 1,x * z) = L(T(x,y),x \ 1,z). L(T(x,y),x \ 1,x * z) = T(z * (L(z,x,x \ 1) \ x),y). T(x * (L(x,y,y \ 1) \ y),z) = L(T(y,z),y \ 1,y * x). 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)). (L(x,y,y \ 1) \ y) * x = L(T(y,x),y \ 1,y * x). L(T(x,y),x \ 1,x * y) = (L(y,x,x \ 1) \ x) * y. L(T(x,y),x \ 1,x * z) != u | L(T(x,y),x \ 1,z) = u. L(T(x,y),x \ 1,y) = (L(y,x,x \ 1) \ x) * y. (L(x,y,y \ 1) \ y) * x = L(T(y,x),y \ 1,x). x != L(T(y,z),y \ 1,z) | z \ ((y \ 1) \ z) = x. x \ ((y \ 1) \ x) = (L(x,y,y \ 1) \ y) * x. (L(x,y,y \ 1) \ y) * x = x \ ((y \ 1) \ x). K(x,y * z) = K(y * (z * x),y * z). K(x * (y * z),x * y) = K(z,x * y). K(x,L(y * z,z,y)) = K(x,y * z). K(x,L(y,z,u)) != w | (u * z) \ (u * (z * K(x,y))) = w. (x * y) \ (x * (y * K(z,x * y))) = K(z,x * y). K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. K((x * y) \ z,x * (x \ z)) = K(y \ (x \ z),x * (x \ z)). K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). x \ y != K(z,x) | (z * x) / z = y. (x * (y * z)) / x = y * (z * K(x,y * z)). K(x * (y * K(z,x * y)),u) = K(x * y,T(u,z)). K(x,y * (z * K(u,y * z))) = K(x,T(y * z,u)). K(L(x \ 1,y,z),x * u) * (x * (u * L(x \ 1,y,z))) = L(x \ 1,y,z) * (x * u). (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). a(x,y,z) = (L(z,y,x) * (x * y)) \ (z * (x * y)). x != (L(y,z,u) * (u * z)) \ (y * (u * z)) | a(u,z,T(y,u * z)) = x. a(x,y,T(z,x * y)) = a(x,y,z). a(x,x \ y,T(z,y)) = a(x,x \ y,z). a(x,y,x \ (y \ x)) = a(x,y,x \ (x / y)). a(x,y,x \ (x / y)) = a(x,y,x \ (y \ x)). x / a(x,y,x \ (y \ x)) = x * (y * ((x * y) \ x)). x / a(x,y,z) != u | a(x,y,z) \ x = u. a(x,y,x \ (y \ x)) \ x = x * (y * ((x * y) \ x)). a(x,y,x \ (y \ x)) \ x = x * (y * (x \ (x / y))). K((x * y) \ z,z) = K(y \ (x \ z),x * (x \ z)). K(x \ (y \ z),y * (y \ z)) = K((y * x) \ z,z). K(x \ (y \ z),z) = K((y * x) \ z,z). K((x * y) \ z,z) = K(y \ (x \ z),z). K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K(x,y \ (z * u))). K(x,T((y * z) \ (u * x),w)) = K(x,T((y * (x \ z)) \ u,w)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = 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,T(y \ (z * x),y)) != 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)). K(x,T(y,z \ u) * (u \ z)) != w | K(x,(u \ z) * y) = w. (x * y) * T(z,a(x,y,u)) = (x * (y * z)) * T(a(x,y,z),u). (x * (y * z)) * T(a(x,y,z),u) = (x * y) * T(z,a(x,y,u)). x * K(y,x \ (z * (u * ((z * u) \ x)))) = (z * u) * T((z * u) \ x,a(z,u,y)). (x * y) * T((x * y) \ z,a(x,y,u)) = z * K(u,z \ (x * (y * ((x * y) \ z)))). (x \ K(y,z)) * a(u,w,K(y,x)) = T(x \ K(y,z),a(u,w,y)). (x \ y) * a(z,u,K(w,x)) != v5 | T(y / T(x,a(z,u,w)),x) = v5. T(K(x,y) / T(z,a(u,w,x)),z) = T(z \ K(x,y),a(u,w,x)). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). (x * (a(y,z,z) * u)) / (x * u) = L(a(y,z,z),u,x). a(x,y,K(z,u)) * ((x * y) * z) = T(a(x,y,z),u) * (x * (y * z)). x * K(L(y,z,(z * y) \ x),u) = (x / (z * y)) * (z * T(y,u)). x * K(y,L(z,u,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). x * K(L(T(y,z),z,(y * z) \ x),u) = (x / (z * T(y,z))) * (z * T(T(y,z),u)). (x / (y * T(z,y))) * (y * T(T(z,y),u)) = x * K(L(T(z,y),y,(z * y) \ x),u). L(x,y,T((x * y) \ z,K(x,y))) = ((z / (x * y)) * y) \ (z * K(y,x)). K(x,a(y,z,y) \ (u / w)) = K(x,u * ((K(v5,v6) * w) \ K(v5,v5 * v6))). L(x * K(y * x,z),T(y,z),z) = (y * z) \ ((T(y,z) * x) * z). L(x * K(y * x,z),y,z) = (y * z) \ ((T(y,z) * x) * z). L(x * K(y * x,z),y,z) != u | (z * y) \ ((y * x) * z) = u. (x * y) \ ((y * z) * x) = (y * x) \ ((T(y,x) * z) * x). (x * y) \ ((T(x,y) * z) * y) = (y * x) \ ((x * z) * y). (x * y) \ (L(x,z \ y,z) * (z * (z \ y))) = ((z * (z \ y)) * x) \ (z * ((z \ y) * x)). K(x,y * ((K(z,u) * w) \ K(z,z * u))) != v5 | K(x,y / w) = v5. K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). K(x,(y / T(z,u)) \ T(T(u,z),T(z,u) / y)) = K(x,u / (y / z)). K(x,(y / T(z,u)) \ T(T(u,z),z / y)) = K(x,u / (y / z)). L(L(x \ 1,x,y),T(y,z),T(y,z) \ 1) = (x \ T(y,z)) * T(y \ 1,z). T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z * K(y,x))) * K(T(z,K(y,x)),u). L(R(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,L(x,z,u) * x). R(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,x * a(x,y,z)). T((x / y) * (x \ 1),K(x / y,x \ 1) * 1) = T((x / y) * (x \ 1),y). L(L(x \ 1,x,y),T(y,z),T(y \ 1,z)) = (x \ T(y,z)) * T(y \ 1,z). L(R(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,x * L(x,z,u)). T((x / y) * (x \ 1),K(x,x / y) * 1) = T((x / y) * (x \ 1),y). T((x / y) * (x \ 1),K(y,x) * 1) = T((x / y) * (x \ 1),y). T((x / y) * (x \ 1),K(y,x)) = T((x / y) * (x \ 1),y). T((x / y) * (x \ 1),K(x,y)) = T((x / y) * (x \ 1),y). T((x / y) * (x \ 1),K(x,y)) != z | (x / y) * (x \ 1) = z. (x / y) * (x \ 1) = T((x / y) * (x \ 1),y). T((x / y) * (x \ 1),y) = (x / y) * (x \ 1). x \ ((y \ x) * (y / x)) = (y / x) * (y \ 1). T(x,y) \ ((y \ T(x,y)) * (x \ y)) = (y / T(x,y)) * (y \ 1). T(x,y) \ (T(y \ x,y) * (x \ y)) = (y / T(x,y)) * (y \ 1). T(x,y) \ ((x \ y) * T(y \ x,y)) = (y / T(x,y)) * (y \ 1). T(x,y) \ ((y \ x) * (y / x)) = (y / T(x,y)) * (y \ 1). T(x,y) \ ((y \ x) * (y / x)) = (x \ y) * (y \ 1). T(x \ y,y) \ ((y \ (x \ y)) * x) = ((x \ y) \ y) * (y \ 1). T(x \ y,x \ (y / x)) \ (x * ((x \ (y / x)) / (x \ y))) = ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1). T(x \ y,y) \ (x * (y \ (x \ y))) = ((x \ y) \ y) * (y \ 1). T(x \ y,y) \ (x * (y \ (x \ y))) = T(x,y) * (y \ 1). x != T(y,z) * (z \ 1) | (z \ 1) * y = x. (x \ 1) * y = T(y \ x,x) \ (y * (x \ (y \ x))). T(x \ y,y) \ (x * (y \ (x \ y))) = (y \ 1) * x. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * y) \ (u * x)) = w. 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)). K(x,(y * (z * (u / x))) \ (z * (x \ u))) != w | K(x,(z * (u / x)) \ (y \ (z * (u / x)))) = w. K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). (x * (y * K(z,u))) \ ((x * y) * T(L(u,y,x),z \ 1)) = L(u,y,x). (x * (y * K(z,u))) \ (x * (y * T(u,z \ 1))) = L(u,y,x). (x * (y * K(z,u))) \ (x * (y * T(u,z \ 1))) != w | L(u,y * K(u,z \ 1),x) = w. L(x,y * K(x,z \ 1),u) = L(x,y,u). L(x,y * K(z,x),u) = L(x,y,u). L(x,T(y,x),z) = L(x,y,z). L(T(x,y),x,z) = L(T(x,y),T(x,y),z). L(T(x,y),T(x,y),z) = L(T(x,y),x,z). L(x,K(y,T(z,x)),u) = L(x,K(y,z),u). L(x,K(y,x) * z,u) = L(x,z,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,K(y,T(z,x)),u) != w | (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x) = w. (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,u),x). (x \ 1) * (T(x,x \ K(x,y)) * z) = L(z,T(x,x \ 1),x \ K(x,y)). (x \ 1) * (T(x,x \ 1) * y) = L(y,T(x,x \ 1),x \ K(x,z)). L(x,T(y,y \ 1),y \ K(y,z)) = (y \ 1) * (T(y,y \ 1) * x). x != (y \ 1) * (T(y,y \ 1) * z) | L(z,y,y \ 1) = x. L(x,y,y \ 1) = L(x,T(y,y \ 1),y \ K(y,z)). L(x,T(y,y \ 1),y \ K(y,z)) = L(x,y,y \ 1). L(x,T(y,y \ 1),z) != u | L(x,y,z) = u. L(x,y,y \ K(y,z)) = L(x,y,y \ 1). K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * x),T(u,z \ y)). K(L(x,y,1 / z) * ((1 / z) * y),u) = K(z \ (y * T(x,z \ y)),u). K(L(x,y,1 / z) * ((1 / z) * y),u) != w | K(z \ (y * x),T(u,z \ y)) = w. K(x \ (y * z),T(u,x \ y)) = K(x \ (y * T(z,x \ y)),u). K(x \ (y * T(z,x \ y)),u) = K(x \ (y * z),T(u,x \ y)). K(x \ (y * T(z,x \ y)),x) != u | K(z / (y \ x),x) = u. K(x / (y \ z),z) = K(z \ (y * x),T(z,z \ y)). K(x \ (y * z),T(x,x \ y)) = K(z / (y \ x),x). K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x \ (y * z),T(x,y)) = K(z / (y \ x),x). (L(x,y,z) \ 1) * (u * T(x,u)) = x * ((L(x,y,z) \ 1) * u). (L(x,y,z) \ 1) * (x * u) = x * ((L(x,y,z) \ 1) * u). (L(x,y,z) \ x) \ (x * ((L(x,y,z) \ 1) * u)) = L(u,x,L(x,y,z) \ 1). L(x,L(y,z,u) \ 1,y) = L(x,y,L(y,z,u) \ 1). (x \ (y * (z * u))) * K(u,y * z) = x \ (L(u,z,y) * (y * z)). (x \ (y * (z * x))) * K(x,y * z) != u | (y * (z * x)) / x = u. (x * (y * z)) / z = z \ (L(z,y,x) * (x * y)). x \ (L(x,y,z) * (z * y)) = (z * (y * x)) / x. L(x,y,z) * (x \ (z * y)) = (z * (y * x)) / x. L(x,y \ z,y) * (x \ z) = (y * ((y \ z) * x)) / x. L(x,T(y,z),z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x. L(x,y,z) * (x \ (y * z)) = (z * (T(y,z) * x)) / x. (x \ (y * (z * x))) \ T(y * z,x) = ((y * (z * x)) / x) \ (y * z). x * R(x \ (x / y),z,u) = x * L(R(y \ 1,z,u),y,y \ x). x != y * L(z,u,u \ y) | (y / u) * (u * z) = x. (x / y) * (y * R(y \ 1,z,u)) = x * R(x \ (x / y),z,u). (a(x,y,y) \ z) * (a(x,y,y) * R(a(x,y,y) \ 1,u,w)) = z * R(z \ (z / a(x,y,y)),u,w). R(K(x,(y / (z / u)) \ x),u \ z,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). K(x,(y * z) / ((u * (x \ y)) * z)) != w | R(K(x,u \ x),y,z) = w. R(K(x,y \ x),z,u) = K(x,(((y * z) * u) / (z * u)) \ x). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). ((x * y) * z) / (R(z,x,y) * T(x * y,z)) = ((z * x) * y) \ (z * (x * y)). ((x * y) * z) / T(R(z,x,y) * (x * y),z) = ((z * x) * y) \ (z * (x * y)). ((x * y) * z) / T((z * x) * y,z) = ((z * x) * y) \ (z * (x * y)). L(K((x / y) \ z,u),z \ (x / (1 / (1 / y))),w) = K(1 / (z \ (x / y)),u). L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). x != K(1 / (y \ z),u) | K(z \ y,u) = x. K((x / y) \ x,z) = L(K(y,z),x \ (x / y),u). L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). x != K((y / z) \ y,u) | K(z,u) = x. K(x,y) = L(K(x,y),z \ (z / x),u). L(K(x,y),z \ (z / x),u) = K(x,y). T(K(x,y),z \ (z / x)) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). K(x,(y * z) \ y) != u | K(z,x) = u. x != T(y,z \ (z / u)) | T(y,1 / u) = x. T(K(x,y),1 / x) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). x != T(K(y,z),1 / y) | K(y,z) = x. K(x,y) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = K(y,z). x / L(y,T(z,y \ 1),(y * z) \ x) = (x / (y * z)) * T(z,y \ 1). (((x / (y * z)) * T(z,y \ 1)) * y) \ (x * y) = L(y,T(z,y \ 1),(y * z) \ x). T((x * y) * z,u) / a(x,y,z) = a(x,y,z) \ T((x * y) * z,u). x != (y * (z * u)) * K(u,z) | y * (u * z) = x. (x \ (x / y)) * (y * z) = L(y,z,x \ (x / y)) * ((x \ (x / y)) * z). L(x,y,z \ (z / x)) * ((z \ (z / x)) * y) = (z \ (z / x)) * (x * y). x * ((y \ (y / x)) * z) = (y \ (y / x)) * (x * z). (x \ (x / y)) * (y * z) = y * ((x \ (x / y)) * z). L(x,y,z \ (z / y)) = ((z \ (z / y)) * y) \ (y * ((z \ (z / y)) * x)). ((x \ (x / y)) * y) \ (y * ((x \ (x / y)) * z)) = L(z,y,x \ (x / y)). (x * (y \ (y / x))) \ (x * ((y \ (y / x)) * z)) = L(z,x,y \ (y / x)). L(x,y \ (y / z),z) = L(x,z,y \ (y / z)). x * (a(K(x,y),K(y,x) * z,z \ u) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). T((x \ 1) * (y * x),z) \ (K(z,(y * x) \ x) * T(y,x)) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ (K(z,x \ (y \ x)) * T(y,x)) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ (K(y,T(z,x)) * T(y,x)) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ T(T(y,z),x) = a(x,x \ 1,y). T((x \ 1) * (y * x),z) \ T(T(y,z),x) != u | a(x,x \ 1,T(y,z)) = u. a(x,x \ 1,T(y,z)) = a(x,x \ 1,y). a(x,x \ 1,L(T(y,z),u,w)) = a(x,x \ 1,L(y,u,w)). a(x,x \ 1,y \ z) = a(x,x \ 1,z / y). a(x,x \ 1,y / z) = a(x,x \ 1,z \ y). a(x,x \ 1,y * z) = a(x,x \ 1,z * y). a(x,x \ 1,y \ K(z,y)) = a(x,x \ 1,y \ 1). a(x,x \ 1,y) != z | L(y,x,x \ 1) \ y = z. L(x / y,z,z \ 1) \ (x / y) = a(z,z \ 1,y \ x). a(x,x \ 1,y) = a(x,x \ 1,y * x). a(x,x \ 1,y * x) = a(x,x \ 1,y). a(x,x \ 1,y * x) != z | a(x,x \ 1,y) = z. a(T(x,y \ 1),T(x,y \ 1) \ 1,z / L(y,T(x,y \ 1),(y * x) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). a(x,x \ 1,L(y \ K(y,z),u,w)) = a(x,x \ 1,L(y \ 1,u,w)). (x * (y \ 1)) \ (x / y) = a(y,y \ 1,y \ x). a(x,x \ 1,x \ y) = (y * (x \ 1)) \ (y / x). (x * y) \ (x / (y \ 1)) = a(y,y \ 1,(y \ 1) \ x). a(x,x \ 1,(x \ 1) \ y) = (y * x) \ (y / (x \ 1)). a(x,x \ 1,x \ y) != z | a(x,x \ 1,y) = z. a(x,x \ 1,y) = (y * (x \ 1)) \ (y / x). (x * (y \ 1)) \ (x / y) = a(y,y \ 1,x). (x * ((y \ x) \ 1)) \ y = a(y \ x,(y \ x) \ 1,x). a(x \ y,(x \ y) \ 1,y) = (y * ((x \ y) \ 1)) \ x. a(x,x \ 1,(x \ 1) \ y) != z | a(x,x \ 1,y) = z. a(x,x \ 1,y) = (y * x) \ (y / (x \ 1)). (x * y) \ (x / (y \ 1)) = a(y,y \ 1,x). (x * y) * a(y,y \ 1,x) = x / (y \ 1). (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * ((x \ 1) * L(x,z,u)). x * (y * T(y \ (x \ z),a(x,y,u))) = z * K(u,z \ (x * (y * ((x * y) \ z)))). x * K(y,x \ (z * (u * ((z * u) \ x)))) = z * (u * T(u \ (z \ x),a(z,u,y))). (x / (y * T(z,y))) * (y * T(T(z,y),u)) = x * K(L(z,y,(z * y) \ x),T(u,y)). (((x / (y * z)) * y) * z) \ (x * z) = L(z,T(y,z \ 1),(z * y) \ x). (((x / (y * z)) * y) * z) \ (x * z) != u | L(z,y,(y * z) \ x) = u. L(x,y,(y * x) \ z) = L(x,T(y,x \ 1),(x * y) \ z). L(x,T(y,x \ 1),(x * y) \ z) = L(x,y,(y * x) \ z). (x * (y * (x \ 1))) * L(L(x,x \ 1,y),z,u) = (x * y) * (x \ L(x,z,u)). x * ((y * (x \ 1)) * L(L(x,x \ 1,y),z,u)) = (x * y) * (x \ L(x,z,u)). x * (y * ((x \ 1) * L(x,z,u))) = (x * y) * (x \ L(x,z,u)). x * (y * (x \ L(x,z,u))) = (x * y) * (x \ L(x,z,u)). (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). R(x,y,x \ L(x,z,u)) = x. L(x \ L(x,y,z),u,x) = x \ L(x,y,z). L(x,y,z) \ (u * (x \ L(x,w,v5))) = (L(x,y,z) \ u) * (x \ L(x,w,v5)). x * ((x \ L(x,y,z)) * u) = (x * u) * T(x \ L(x,y,z),u). (x * y) * T(x \ L(x,z,u),y) = x * ((x \ L(x,z,u)) * y). (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). L(x,L(y,z,u) \ 1,y) != w | L(x,y,L(y,z,u) \ 1) = w. L(x \ L(x,y,z),x,L(x,u,w) \ 1) = x \ L(x,y,z). (x * y) / (x \ L(x,z,u)) = x * (y / (x \ L(x,z,u))). (x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)). L(x \ L(x,y,z),x,u) = L((u * x) \ (u * L(x,y,z)),w,x). L((x * y) \ (x * L(y,z,u)),w,y) = L(y \ L(y,z,u),y,x). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. a(x,x \ 1,y) \ 1 = y \ L(y,x,x \ 1). (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1 = L((x \ 1) \ y,z,u) \ L(L((x \ 1) \ y,z,u),x,x \ 1). L((x \ 1) \ y,z,u) \ L(L((x \ 1) \ y,z,u),x,x \ 1) = (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1. T(x,(y \ L(y,z,u)) * w) = T(x,(L(y,z,u) \ y) \ w). T(x,(L(y,z,u) \ y) \ w) = T(x,(y \ L(y,z,u)) * w). x != L(y,z,u) \ y | y * (L(y,z,u) \ 1) = x. x * (L(x,y,z) \ 1) = (x \ L(x,y,z)) \ 1. (x \ L(x,y,z)) \ 1 = x * (L(x,y,z) \ 1). L(x,y,z) \ x != u \ 1 | x \ L(x,y,z) = u. (L(x,y,z) \ x) \ 1 != u | x \ L(x,y,z) = u. x != y \ L(y,z,z \ 1) | a(y,z,z \ 1) = x. a(x,y,y \ 1) = a(y,y \ 1,x) \ 1. a(x,x \ 1,y) \ 1 = a(y,x,x \ 1). a(x,x \ 1,y) \ 1 != z | a(y,x,x \ 1) = z. a(x,y,y \ 1) \ 1 = a(y,y \ 1,x). a(x,y,y \ 1) \ 1 != z | a(y,y \ 1,x) = z. a(x,x \ 1,y) != z \ 1 | a(y,x,x \ 1) = z. (x * ((L(x,y,z) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) != w | a(x,L(x,y,z) \ 1,u) = w. L(x \ L(x,y,z),x,L(x,u,w) \ 1) != v5 | (L(x,u,w) \ x) \ (L(x,u,w) \ L(x,y,z)) = v5. (L(x,y,z) \ x) \ (L(x,y,z) \ L(x,u,w)) = x \ L(x,u,w). L(x \ ((x / y) * L(y,z,u)),w,y) = L(y \ L(y,z,u),y,x). ((L(x,y,z) \ x) \ 1) \ L(((L(x,y,z) \ x) \ 1) * (L(x,y,z) \ L(x,u,w)),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). R(x,y,L(x \ L(x,z,u),w,v5)) = x. (x * y) * L(x \ L(x,z,u),w,v5) != x * v6 | y * L(x \ L(x,z,u),w,v5) = v6. L(x,y,z) \ (u * L(x \ L(x,w,v5),v6,v7)) = (L(x,y,z) \ u) * L(x \ L(x,w,v5),v6,v7). (x / (y * z)) * (z * T(T(y,z),u)) = x * K(L(y,z,(y * z) \ x),T(u,z)). x * K(L(y,z,(y * z) \ x),T(u,z)) = (x / (y * z)) * (z * T(T(y,z),u)). x * K(L(y,z,(y * z) \ x),T(u,z)) = (x / (y * z)) * (T(y,u) * z). x * K(y,L(T(z,u),u,(y * u) \ x)) = (x / (y * u)) * (T(y,z) * u). a(x,T((y \ z) \ 1,z),K((y \ z) * y,u)) = a(x,y,K(((y \ z) \ 1) \ y,u)). a(x,T((y \ z) \ 1,z),K(z,T(u,y))) = a(x,y,K(((y \ z) \ 1) \ y,u)). K(x,(y \ K(z / u,y \ 1)) * (z / u)) = K(x,(z * ((u \ z) / z)) / y). K(x,(y * ((z \ y) / y)) / u) = K(x,(u \ K(y / z,u \ 1)) * (y / z)). K(x,(y * ((z \ y) / y)) / u) = K(x,(y / z) * (u \ 1)). K(x,(y * ((z \ y) / y)) / u) != w | K(x,(y / z) / u) = w. K(x,(y * (z / y)) / u) != w | K(x,(y / (y / z)) / u) = w. K(x,(y \ T(z,y \ 1)) / u) != w | K(x,(z / y) / u) = w. 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). K(((x * y) \ x) \ (y \ z),y) != u | K(z,y) = u. K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). K((((x * y) \ x) \ 1) \ z,y) != u | K(z * ((x * y) \ x),y) = u. K(x * ((y * z) \ y),z) = K(z \ x,z). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). x != K(y * (z \ u),u \ z) | K(y * (u / z),u \ z) = x. K(x * (y / z),y \ z) = K((y \ z) \ x,y \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x * K(x * (y / z),y \ z) != u | ((1 / (z \ y)) \ x) * (1 / (z \ y)) = u. ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). K(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))) | K(y,T(z,u * w)) = x. K(x,T(y \ 1,z * u)) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ (z * u)) = K(x,y \ ((z * (x \ u)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). K(x,x \ (y * z)) != u | K(x,(x \ y) * z) = u. K(x,(x \ y) * z) = K(x,y * (x \ z)). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). K(x,T((T(x,y) \ z) * u,y)) = K(T(x,y),z * (T(x,y) \ u)). K(T(x,y),z * (T(x,y) \ u)) = K(x,T((T(x,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 \ 1,L(x * y,z,u)) * (x * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). (x * y) \ (L(x,z \ y,z) * y) = ((z * (z \ y)) * x) \ (z * ((z \ y) * x)). ((x * (x \ y)) * z) \ (x * ((x \ y) * z)) = (z * y) \ (L(z,x \ y,x) * y). (x * y) \ (z * ((z \ x) * y)) = (y * x) \ (L(y,z \ x,z) * x). (x * y) \ (L(x,z \ y,z) * y) = (y * x) \ (z * ((z \ y) * x)). (x * y) \ (L(x,z,u) * y) != w | y \ (L(x,z,u) * (x \ y)) = w. x \ (L(y,z \ x,z) * (y \ x)) = (x * y) \ (z * ((z \ x) * y)). x \ ((y * ((y \ x) * z)) / z) = (x * z) \ (y * ((y \ x) * z)). (x * y) \ (z * ((z \ x) * y)) = x \ ((z * ((z \ x) * y)) / y). K(x * y,L(x,z,u)) * (x * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). a(x,T(y,z \ 1) / z,K(z * (y / z),u)) = a(x,z \ 1,K((z \ 1) \ (y / z),u)). a(x,T(y,z \ 1) / z,K(y,T(u,z))) = a(x,z \ 1,K((z \ 1) \ (y / z),u)). a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,T(z,y \ 1) / y,K(z,T(u,y))). x != a(y,T(z,u) / w,K(z,v5)) | a(y,w \ z,K(z,v5)) = x. a(x,y \ z,K(z,T(u,y))) = a(x,y \ 1,K((y \ 1) \ (z / y),u)). a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,y \ z,K(z,T(u,y))). x != a(y,z \ u,K(u,T(w,z))) | a(y,z \ u,K(u,w)) = x. a(x,y \ z,K(z,u)) = a(x,y \ 1,K((y \ 1) \ (z / y),u)). a(x,y \ 1,K((y \ 1) \ (z / y),u)) = a(x,y \ z,K(z,u)). a(x,y \ 1,K(y * (z / y),u)) = a(x,y \ z,K(z,u)). a(x,y \ 1,K(z,T(u,y))) = a(x,y \ z,K(z,u)). a(x,y \ 1,K(z,T(u,y))) != w | a(x,y \ 1,K(z,u)) = w. a(x,y \ 1,K(z,u)) = a(x,y \ z,K(z,u)). a(x,y \ 1,z) != u | a(x,1 / y,z) = u. a(x,1 / y,K(z,u)) = a(x,y \ z,K(z,u)). a(x,y \ z,K(z,u)) = a(x,1 / y,K(z,u)). a(x,y \ z,K(z,u)) != w | a(x,z / y,K(z,u)) = w. a(x,y / z,K(y,u)) = a(x,1 / z,K(y,u)). a(x,1 / y,K(z,u)) = a(x,z / y,K(z,u)). 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))). T(((x / y) \ 1) * K((x / y) \ x,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). T(((x / y) \ 1) * K(y,x / y),x) = x \ (((x / y) \ 1) * (y * (x / y))). T(((x / y) \ 1) * K(y,y \ x),x) = x \ (((x / y) \ 1) * (y * (x / y))). T((x / y) \ K(y,y \ x),x) = x \ (((x / y) \ 1) * (y * (x / y))). x \ (((x / y) \ 1) * (y * (x / y))) = T((x / y) \ K(y,y \ x),x). x \ (((x / y) \ 1) * (y * (x / y))) = T((y \ x) \ 1,x). x \ y != T(z,x) | z * x = y. ((x \ y) \ 1) * y = ((y / x) \ 1) * (x * (y / x)). ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. K((x \ y) * z,y) * K(u,K(y,x \ z)) = K(y * (y \ ((x \ y) * z)),T(y,u)). K(x * (x \ ((y \ x) * z)),T(x,u)) = K((y \ x) * z,x) * K(u,K(x,y \ z)). K((x \ y) * z,T(y,u)) = K((x \ y) * z,y) * K(u,K(y,x \ z)). K((x \ y) * z,y) * K(u,K(y,x \ z)) = K((x \ y) * z,T(y,u)). K(x * (y \ z),x) * K(u,K(x,y \ z)) = K((y \ x) * z,T(x,u)). K((x \ y) * z,T(y,u)) != w | K(y * (x \ z),T(y,u)) = w. x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6) = x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)). L(x,y,z) \ L(x \ L(x,u,w),v5,v6) = (L(x,y,z) \ 1) * L(x \ L(x,u,w),v5,v6). (L(x,y,z) \ 1) * L(x \ L(x,u,w),v5,v6) = L(x,y,z) \ L(x \ L(x,u,w),v5,v6). K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),T(T(x,y),y)). x != K(y,T(T(z,u),u)) | K(y,z) = x. K(x * ((1 / y) \ z),z) = K(((z \ ((1 / y) \ z)) * T(z,y)) * x,T(z,y)). K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((1 / y) \ x),x). x != K(y * ((1 / z) \ u),w) | K(y * ((z \ 1) \ u),w) = x. K(x * ((y \ 1) \ z),z) = K(((z \ ((1 / y) \ z)) * T(z,y)) * x,T(z,y)). K(((x \ ((1 / y) \ x)) * T(x,y)) * z,T(x,y)) = K(z * ((y \ 1) \ x),x). K(((1 / x) \ y) * z,T(y,x)) = K(z * ((x \ 1) \ y),y). K(((x \ 1) \ y) * z,T(y,x)) = K(z * ((x \ 1) \ y),y). K(x * ((y \ 1) \ z),T(x,y)) = K(z * ((y \ 1) \ x),x). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. (a(x,y,y) \ z) * (a(x,y,y) * R(a(x,y,y) \ 1,u,w)) = z * R(z \ (a(x,y,y) \ z),u,w). R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. K(R(x \ y,z,u),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(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = R(z \ T(y,x),K(x,y),K(y,x)) / (z \ y). K(x,y) \ K((z \ T(y,x)) * K(x,y),K(x,y) \ 1) = (z \ T(y,x)) / (z \ y). K(x,y) \ K(z \ y,K(x,y) \ 1) = (z \ T(y,x)) / (z \ y). K(x,y) \ K(z \ y,K(y,x)) = (z \ T(y,x)) / (z \ y). K(x,y) \ K(y,K(z \ y,x)) = (z \ T(y,x)) / (z \ y). K(x,y) \ K(y,K(z,x)) = (z \ T(y,x)) / (z \ y). K(x,y) * K(x,K(z,y)) = (z \ T(x,y)) / (z \ x). (x \ T(y,z)) / (x \ y) = K(y,z) * K(y,K(x,z)). x != K(y,z) * K(y,K(u,z)) | K(y,T(z,u)) = x. K(x,T(y,z)) = (z \ T(x,y)) / (z \ x). (x \ T(y,z)) / (x \ y) = K(y,T(z,x)). K((x * K(y,T(z,u))) * (u \ y),T(w,u \ T(y,z))) = K((u \ T(y,z)) * R(x,(u \ T(y,z)) / (u \ y),u \ y),w). K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((u * K(y,T(z,x))) * (x \ y),T(w,x \ T(y,z))). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,T(y,w)). L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z). T(T((x * (y * z)) * a(x,y,z),K(y * z,x)),u) \ ((y * z) * x) = ((y * z) * x) / T((x * y) * z,u). 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)) | K(R(y,z,u),w) = x. K(R(x,y,z),u) = K(R(w \ (w * x),y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))). 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). T(T((x * y) * z,K(y * z,x)),u) \ ((y * z) * x) = ((y * z) * x) / T((x * y) * z,u). T((x * y) * z,u) \ ((y * z) * x) = ((y * z) * x) / T((x * y) * z,u). ((x * y) * z) / T((z * x) * y,u) = T((z * x) * y,u) \ ((x * y) * z). ((x * y) * z) / T((z * x) * y,z) != u | ((z * x) * y) \ (z * (x * y)) = u. ((x * y) * z) \ (x * (y * z)) = T((x * y) * z,x) \ ((y * z) * x). T((x * y) * z,x) \ ((y * z) * x) = ((x * y) * z) \ (x * (y * z)). (x * y) \ ((x * (y * z)) / z) = T((x * y) * z,x) \ ((y * z) * x). T((x * y) * z,x) \ ((y * z) * x) = (x * y) \ ((x * (y * z)) / z). T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z)) * K(T(z,K(y,x)),u). (x / y) \ (y * ((y \ (x / y)) / (y \ x))) = ((y \ x) \ (y \ (x / y))) * ((y \ (x / y)) \ 1). ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * ((x \ (y / x)) / (x \ y))). ((x \ y) \ (x \ (y / x))) * ((x \ (y / x)) \ 1) = (y / x) \ (x * (y / (y * x))). L(x \ 1,x,y) * ((x \ (y / x)) \ 1) = (y / x) \ (x * (y / (y * x))). (x / y) \ (y * (x / (x * y))) = L(y \ 1,y,x) * ((y \ (x / y)) \ 1). L((x \ 1) \ y,z,u) \ L(x * y,z,u) = (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1. (L(x * y,z,u) \ L((x \ 1) \ y,z,u)) \ 1 = L((x \ 1) \ y,z,u) \ L(x * y,z,u). (T(x,y) * (T(x * y,y) \ x)) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). (T(x,y) * (x / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). (x * (T(x,y) / (x * y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). (x * (x \ (x / y))) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y * (y \ (y / x))) \ (z * ((x \ y) / T(y,x))). (x / y) \ (z * ((y \ x) / T(x,y))) = T(y \ x,x) \ (z * T(T(x,y) \ (y \ x),T(x,y))). T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((x \ y) / T(y,x))). T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * ((T(y,x) * x) \ y)). T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (T(y * x,x) \ y)). T(x \ y,y) \ (z * T(T(y,x) \ (x \ y),T(y,x))) = (y / x) \ (z * (y / (y * x))). T(x \ y,y) \ (z * T(y \ (y / x),T(y,x))) = (y / x) \ (z * (y / (y * x))). T(x \ y,y) \ (z * T(y \ (x \ y),K(y,x))) = (y / x) \ (z * (y / (y * x))). T(x \ y,y) \ (z * (y \ (x \ y))) = (y / x) \ (z * (y / (y * x))). T(x \ y,y) \ (x * (y \ (x \ y))) != z | (y \ 1) * x = z. (x \ 1) * y = (x / y) \ (y * (x / (x * y))). (x / y) \ (y * (x / (x * y))) = (x \ 1) * y. (x / y) \ (y * (x / (x * y))) != z | L(y \ 1,y,x) * ((y \ (x / y)) \ 1) = z. L(x \ 1,x,y) * ((x \ (y / x)) \ 1) = (y \ 1) * x. ((x \ 1) * y) \ 1 = L(y \ x,y,L(y \ 1,y,x)). L(x \ y,x,L(x \ 1,x,y)) = ((y \ 1) * x) \ 1. L(x \ y,x,L(x \ 1,x,y)) != z | (x * L(x \ 1,x,y)) \ (x \ y) = z. (x * L(x \ 1,x,y)) \ (x \ y) = ((y \ 1) * x) \ 1. a(x,x \ 1,y) \ (x \ y) = ((y \ 1) * x) \ 1. a(x,x \ 1,y) \ (x \ y) != z | (x \ 1) * y = z. (x \ 1) * y = ((y \ 1) * x) \ 1. ((x \ 1) * y) \ 1 = (y \ 1) * x. L(x \ ((y \ 1) \ 1),x,y \ 1) = (x \ 1) * y. x != (y \ 1) * (y * z) | L(z,y,y \ 1) = x. L(x,y,y \ 1) = (((y * x) \ 1) * y) \ 1. (((x * y) \ 1) * x) \ 1 = L(y,x,x \ 1). (x * y) \ 1 = (y \ 1) * (x \ 1). (x \ 1) * (y \ 1) = (y * x) \ 1. T(x,y \ 1) * K(z,L(u,y \ 1,(y \ 1) \ x)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). ((x \ 1) * y) \ K(z,u) = ((y \ 1) * x) * K(z,u). ((x \ K(y,z)) * u) \ 1 = (u \ 1) * (K(z,y) * x). T(x,((y \ 1) * z) * u) = T(x,((z \ 1) * y) \ u). T(x,((y \ 1) * z) \ u) = T(x,((z \ 1) * y) * u). ((L(x,y,z) \ x) * u) \ 1 = (u \ 1) * (x \ L(x,y,z)). (((x \ 1) * y) * z) \ 1 = (z \ 1) * ((y \ 1) * x). (x \ 1) \ ((y * x) \ 1) = y \ 1. (R(x,y,z) \ 1) * x != u | R(x,y,z) \ x = u. R(x \ 1,y,z) \ (x \ 1) = (x * R(x \ 1,y,z)) \ 1. (x * R(x \ 1,y,z)) \ 1 = R(x \ 1,y,z) \ (x \ 1). a(x \ 1,y \ 1,z) = ((x \ 1) * ((y \ 1) * z)) \ (((y * x) \ 1) * z). ((x \ 1) * ((y \ 1) * z)) \ (((y * x) \ 1) * z) = a(x \ 1,y \ 1,z). R(x,y \ 1,z \ 1) = ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1). ((x * (y \ 1)) * (z \ 1)) / ((z * y) \ 1) = R(x,y \ 1,z \ 1). x * (y \ 1) = (y * (x \ 1)) \ 1. (x * (y \ 1)) \ 1 = y * (x \ 1). x * ((y * x) \ 1) = L(y \ 1,x,x \ 1). L(x \ 1,y,y \ 1) = y * ((x * y) \ 1). K(x \ 1,y \ ((x * z) \ 1)) = K(x \ 1,y \ (z \ 1)). (K(x,y) / z) * (u \ 1) = (u * (z * K(y,x))) \ 1. (x * (y * K(z,u))) \ 1 = (K(u,z) / y) * (x \ 1). (K(x,y) * z) * (u \ 1) = (u * (z \ K(y,x))) \ 1. (x * (y \ K(z,u))) \ 1 = (K(u,z) * y) * (x \ 1). T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). ((x \ 1) * ((y \ 1) * z)) / (((y * x) \ 1) * z) = (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)). (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = ((x \ 1) * ((y \ 1) * z)) / (((y * x) \ 1) * z). a(x,y,y \ 1) * (z \ 1) = (z * a(y,y \ 1,x)) \ 1. (x * a(y,y \ 1,z)) \ 1 = a(z,y,y \ 1) * (x \ 1). x != y \ 1 | 1 / y = x. 1 / x = (y \ 1) \ ((x * y) \ 1). (x \ 1) \ ((y * x) \ 1) = 1 / y. (x \ 1) \ (y \ 1) = (y / x) \ 1. x != (y * z) * (z \ 1) | L(y,z,z \ 1) = x. L(x,y,y \ 1) = (y * ((x * y) \ 1)) \ 1. (x * ((y * x) \ 1)) \ 1 = L(y,x,x \ 1). ((x \ 1) * T((x \ 1) \ y,z)) \ 1 = x * (T(y / (x \ 1),z) \ 1). (x * (y \ 1)) \ 1 != z | y * (x \ 1) = z. (x * ((y \ x) \ 1)) \ y = y * ((x \ 1) * (x / y)). (x * (y \ 1)) * (z \ 1) = (z * (y * (x \ 1))) \ 1. (x * (y * (z \ 1))) \ 1 = (z * (y \ 1)) * (x \ 1). (x \ 1) \ (1 / (y * x)) = 1 / y. (x \ 1) * T((y / x) \ 1,z) = x \ T(x * (y \ 1),z). x \ (y \ 1) = (y / (x \ 1)) \ 1. (x / (y \ 1)) \ 1 = y \ (x \ 1). (x \ 1) \ y = ((y \ 1) / x) \ 1. ((x \ 1) / y) \ 1 = (y \ 1) \ x. (R(x,y,z) \ 1) \ (x \ 1) = (R(x,y,z) \ x) \ 1. (x \ 1) \ (y * (z \ 1)) = ((z * (y \ 1)) / x) \ 1. ((x * (y \ 1)) / z) \ 1 = (z \ 1) \ (y * (x \ 1)). (1 / x) \ (1 / (y * x)) = 1 / y. (x \ (y \ 1)) \ 1 = y / (x \ 1). (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). (x \ ((x \ 1) \ y)) \ 1 = x \ ((y / x) \ 1). K(x,y) / (z \ (u \ 1)) = K(x,y) * (u / (z \ 1)). ((x \ 1) \ y) \ 1 = (y \ 1) / x. (x \ 1) * (((((y \ 1) / (x \ 1)) \ 1) / y) \ 1) = x \ ((y \ 1) \ ((y \ 1) / (x \ 1))). (1 / x) * (1 / y) = 1 / (y * x). (x \ y) \ 1 = (y \ 1) / (x \ 1). (x \ 1) / (y \ 1) = (y \ x) \ 1. (x \ (y * (z \ 1))) \ 1 = (z * (y \ 1)) / (x \ 1). (x * (y \ 1)) / (z \ 1) = (z \ (y * (x \ 1))) \ 1. (((x \ 1) \ 1) * R(x \ 1,y,z)) \ 1 = (R(x \ 1,y,z) \ 1) / x. (((x \ 1) * y) \ z) \ 1 = (z \ 1) / ((y \ 1) * x). (x \ 1) / ((y \ 1) * z) = (((z \ 1) * y) \ x) \ 1. ((x * (y \ 1)) \ z) \ 1 = (z \ 1) / (y * (x \ 1)). (x \ 1) / (y * (z \ 1)) = ((z * (y \ 1)) \ x) \ 1. (1 / x) * K(y,z) = 1 / (K(z,y) * x). 1 / (K(x,y) * z) = (1 / z) * K(y,x). x != (L(y,z,u) \ y) \ 1 | y \ L(y,z,u) = x. x \ L(x,y,z) = (x \ 1) / (L(x,y,z) \ 1). (x \ 1) / (L(x,y,z) \ 1) = x \ L(x,y,z). x / (y \ 1) != z | (x * y) * a(y,y \ 1,x) = z. ((x \ 1) * y) * a(y,y \ 1,x \ 1) = (y \ x) \ 1. T((x * y) * z,(y * z) \ 1) != u | (y * z) * R(x,y,z) = u. (x * y) * R(z,x,y) = T((z * x) * y,y \ (x \ 1)). T((x * y) * z,z \ (y \ 1)) = (y * z) * R(x,y,z). T(x,y \ (z \ 1)) * (z * y) = (z * y) * x. ((x * y) * z) \ ((T(z,y \ (x \ 1)) * x) * y) = a(T(z,(x * y) \ 1),x,y). K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). (x \ 1) / (y * ((x * y) \ 1)) = L(x \ 1,y,y \ 1) \ (x \ 1). L(x \ 1,y,y \ 1) \ (x \ 1) = (x \ 1) / (y * ((x * y) \ 1)). (x \ 1) \ (y * ((x * y) \ 1)) = x * L(x \ 1,y,y \ 1). (x \ y) * (z * (((x \ y) * z) \ 1)) = x \ (y * R(y \ x,z,z \ 1)). (x * ((L(x,y,z) * x) \ 1)) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). L(x,y,z) * (u * ((L(x,y,z) * u) \ 1)) = L(x * R(x \ 1,u,u \ 1),y,z). x != L(y,z,T(u,w) \ 1) | L(y,z,T(u \ 1,w)) = x. L(x,T(y,z),T(y \ 1,z)) = (T(y,z) * ((x * T(y,z)) \ 1)) \ 1. (T(x,y) * ((z * T(x,y)) \ 1)) \ 1 = L(z,T(x,y),T(x \ 1,y)). x \ 1 != L(y,z,z \ 1) | ((z * y) \ 1) * z = x. ((x * y) \ 1) * x = x * ((y * x) \ 1). (L(x,y,y \ 1) / z) \ 1 = (z \ 1) \ (y * ((x * y) \ 1)). (x \ 1) \ (y * ((z * y) \ 1)) = (L(z,y,y \ 1) / x) \ 1. (((T(x,y) * z) \ 1) * K(x,y)) * x = T(x,y) * ((z * T(x,y)) \ 1). (x * (y \ K(z,u))) \ 1 != w | (K(u,z) * y) * (x \ 1) = w. (x * (y * (z \ 1))) \ 1 != u | (z * (y \ 1)) * (x \ 1) = u. x * ((x * L(x,y,z)) \ 1) = L(x,y,z) \ 1. (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. (T(x,y \ (z \ 1)) * z) * y = (z * y) * R(x,z,y). L(x \ y,x,y \ 1) = (x \ 1) * y. L(L(x \ y,x,y \ 1),z,(x \ y) \ 1) = (x \ 1) * y. ((x \ 1) * y) * L((y \ 1) * x,z,u) = (x \ 1) * (y * L(y \ x,z,u)). L(K(L(x,y,z),u),L(x,y,z),L(T(x,u),y,z) \ 1) = (L(x,y,z) \ 1) * L(T(x,u),y,z). L(K(x,L(y,z,u)),L(y,z,u),L(y * K(x,y),z,u) \ 1) = (L(y,z,u) \ 1) * L(y * K(x,y),z,u). (((x \ 1) * y) \ (x \ y)) \ 1 = (x \ y) \ L(x \ y,x,y \ 1). (x \ y) \ L(x \ y,x,y \ 1) = (((x \ 1) * y) \ (x \ y)) \ 1. ((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * (L(x \ y,x,y \ 1) \ 1). (x \ y) * (L(x \ y,x,y \ 1) \ 1) = ((x \ y) \ ((x \ 1) * y)) \ 1. (x * (y \ K(z,u))) \ 1 = ((K(z,u) \ 1) * y) * (x \ 1). ((K(x,y) \ 1) * z) * (u \ 1) = (u * (z \ K(x,y))) \ 1. (x * ((y \ x) \ 1)) \ y != z | a(y \ x,(y \ x) \ 1,x) = z. a(x \ y,(x \ y) \ 1,y) = x * ((y \ 1) * (y / x)). ((x \ 1) * ((y \ 1) * z)) / ((u \ 1) * w) = (((w \ 1) * u) \ (((z \ 1) * y) * x)) \ 1. K(x \ 1,(x * y) * R(z,x,y)) = K(x \ 1,T((z * x) * y,y)). (L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x)) \ 1 = (L(x \ L(x,y,z),u,w) \ 1) * (x \ L(x,y,z)). K(x,((x * y) \ 1) \ z) = K(x \ 1,z \ (y \ 1)). K(x \ 1,y \ (z \ 1)) = K(x,((x * z) \ 1) \ y). K(x,((x * y) \ 1) \ z) != u | K(x,(y \ 1) \ z) = u. K(x,(y \ 1) \ z) = K(x,(x * y) * z). K(x,y * z) = K(x,(x * y) * z). K(x,(x * y) * z) = K(x,y * z). K(x,(x * y) * z) != u | K(x,(y * x) * z) = u. K(x,(y * x) * z) = K(x,y * z). T(x,(x * y) * z) = x * K(x,y * z). T(x,y * z) = T(x,(x * y) * z). T(x,(x * y) * z) = T(x,y * z). T(x,y * z) = T(x,(x \ y) * z). T(x,(x \ y) * z) = T(x,y * z). T(x,1 * y) * L(T(x \ 1,y),z,u) = T(x * L(x \ 1,z,u),(x \ 1) * y). T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x,1 * u) * L(T(x \ 1,u),y,z). (x \ 1) * T((R(x,y,z) / x) \ 1,u) = x \ T(R(x,y,z) \ x,u). L((x \ 1) * y,z,(x \ y) \ 1) = (x \ 1) * y. (x \ y) \ ((x \ 1) * y) != z | ((x \ y) \ 1) * ((x \ 1) * y) = z. (x \ 1) \ (y * ((x * y) \ 1)) != z | x * L(x \ 1,y,y \ 1) = z. x * L(x \ 1,y,y \ 1) = (L(x,y,y \ 1) / x) \ 1. (L(x,y,y \ 1) / x) \ 1 = x * L(x \ 1,y,y \ 1). (L(x,y,y \ 1) / x) \ 1 = x * (y * ((x * y) \ 1)). (x \ L(x,y,y \ 1)) \ 1 = x * (y * ((x * y) \ 1)). a(x,y,y \ 1) \ 1 = x * (y * ((x * y) \ 1)). x * (y * ((x * y) \ 1)) = a(x,y,y \ 1) \ 1. x != a(y,z,z \ 1) \ 1 | a(z,z \ 1,y) = x. a(x,x \ 1,y) = y * (x * ((y * x) \ 1)). x * (y * ((x * y) \ 1)) = a(y,y \ 1,x). a(x,y,(x * y) \ 1) = a(x,y,y \ 1). x * (y * ((x * y) \ 1)) != z | a(y,y \ 1,x) = z. a(x,x \ y,y \ 1) = a(x,x \ y,(x \ y) \ 1). a(x,x \ y,(x \ y) \ 1) = a(x,x \ y,y \ 1). a(x,x \ y,(x \ y) \ 1) != z | x \ (y * ((x \ y) \ 1)) = z. x \ (y * ((x \ y) \ 1)) = a(x,x \ y,y \ 1). (x * (y \ 1)) / (z \ 1) != u | (z \ (y * (x \ 1))) \ 1 = u. ((x * y) \ (x * ((z * (y \ 1)) \ 1))) \ 1 = R(z,y \ 1,x \ 1). x != (y \ 1) / (z * (u \ 1)) | ((u * (z \ 1)) \ y) \ 1 = x. (((x * y) * (y \ 1)) \ x) \ 1 = L(x \ 1,y,y \ 1) \ (x \ 1). L(x \ 1,y,y \ 1) \ (x \ 1) = (((x * y) * (y \ 1)) \ x) \ 1. (x \ y) \ ((x \ 1) * y) = (((x \ 1) * y) \ (x \ y)) \ 1. (((x \ 1) * y) \ (x \ y)) \ 1 = (x \ y) \ ((x \ 1) * y). a(x,x \ 1,y) \ 1 = (x \ y) \ ((x \ 1) * y). (x \ y) \ ((x \ 1) * y) = a(x,x \ 1,y) \ 1. x != a(y,y \ 1,z) \ 1 | a(z,y,y \ 1) = x. a(x,y,y \ 1) = (y \ x) \ ((y \ 1) * x). (x \ y) \ ((x \ 1) * y) = a(y,x,x \ 1). (x \ y) * a(y,x,x \ 1) = (x \ 1) * y. (x \ ((x \ 1) \ y)) \ y = a((x \ 1) \ y,x,x \ 1). a((x \ 1) \ y,x,x \ 1) = (x \ ((x \ 1) \ y)) \ y. L(a(x,y,y \ 1),y \ x,y) = x \ (y * ((y \ 1) * x)). L(a(x,y,y \ 1),y \ x,y) = x \ L(x,y,y \ 1). L(a(x,y,y \ 1),y \ x,y) != z | a(x,y,y \ 1) = z. K((x * y) * R(z,x,y),x) = K(x \ 1,T((z * x) * y,y)). K(x \ 1,T((y * x) * z,z)) = K((x * z) * R(y,x,z),x). x != K((y * z) * u,y) | K(z * u,y) = x. K(x * R(y,z,x),z) = K(z \ 1,T((y * z) * x,x)). K(x \ 1,T((y * x) * z,z)) = K(z * R(y,x,z),x). K(x \ 1,y * (z * x)) = K(y * R(z,x,y),x). K(x * (y * z),z) = K(x * R(y,z,x),z). K(x * R(y,z,x),z) = K(x * (y * z),z). x != K(y * (z * u),u) | K(y * z,u) = x. K(x * y,z) = K(x * R(y,z,x),z). K(x * R(y,z,x),z) = K(x * y,z). ((x \ y) \ 1) * ((x \ 1) * y) = a(y,x,x \ 1). (x \ 1) * ((y \ 1) * (y * x)) = a(y * x,y,y \ 1). a(x * y,x,x \ 1) = (y \ 1) * ((x \ 1) * (x * y)). a(x * y,x,x \ 1) = (y \ 1) * L(y,x,x \ 1). x != (y \ 1) * L(y,z,u) | y \ L(y,z,u) = x. x \ L(x,y,y \ 1) = a(y * x,y,y \ 1). a(x * y,x,x \ 1) = y \ L(y,x,x \ 1). a(x,y,y \ 1) = a(y * x,y,y \ 1). a(x * y,x,x \ 1) = a(y,x,x \ 1). a(x * y,x,x \ 1) != z | a(y,x,x \ 1) = z. a(x,y,y \ 1) = a(y \ x,y,y \ 1). a(x \ y,x,x \ 1) = a(y,x,x \ 1). a(T(x,y),y \ x,(y \ x) \ 1) = a(y,y \ x,(y \ x) \ 1). a(x * ((y * x) \ z),T(x,y),T(x,y) \ 1) != u | a((x * y) \ z,T(x,y),T(x,y) \ 1) = u. x != a(y,y \ z,(y \ z) \ 1) | y \ (z * ((y \ z) \ 1)) = x. x \ (y * ((x \ y) \ 1)) = a(T(y,x),x \ y,(x \ y) \ 1). a(T(x,y),y \ x,(y \ x) \ 1) = y \ (x * ((y \ x) \ 1)). ((x * y) \ (x * (y * (z \ 1)))) \ 1 = R(z,y \ 1,x \ 1). L(x \ 1,y,z) \ 1 = R(x,y \ 1,z \ 1). R(x,y \ 1,z \ 1) = L(x \ 1,y,z) \ 1. R(x,x \ 1,y) != z | L(x,x \ 1,y) = z. L(x,x \ 1,y \ 1) = L(x \ 1,x,y) \ 1. R(x \ 1,y \ 1,z \ 1) = L(x,y,z) \ 1. T(x,R(y,z \ 1,u \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. R(x,y \ 1,z \ 1) \ L(x,L(x \ 1,y,z),L(x \ 1,y,z) \ 1) = x * L(x \ 1,y,z). R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x \ 1,x,u) \ 1. L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L((1 / x) * L(x,u,w),y,z). L(x \ y,(x \ y) \ 1,x \ 1) = (y \ x) \ 1. L(x,x \ 1,y \ 1) = (y \ (y / x)) \ 1. L(L(x,x \ 1,y \ 1),L(x \ 1,x,y),y) = x. L((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x,x \ 1,u \ 1),y,z). R(x \ 1,y,z \ 1) = L(x,y \ 1,z) \ 1. R(x \ 1,y \ 1,z) = L(x,y,z \ 1) \ 1. (L(x,y,z) \ 1) * ((x \ 1) * u) = (x \ 1) * (R(x \ 1,y \ 1,z \ 1) * u). (x \ 1) * (R(x \ 1,y \ 1,z \ 1) * u) = (L(x,y,z) \ 1) * ((x \ 1) * u). L(x,y,z) * (L(L(x,y,z),u,w) \ 1) = L(x * R(x \ 1,u \ 1,w \ 1),y,z). L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(x,u,w) * (L(L(x,u,w),y,z) \ 1). T(R(x \ 1,y \ 1,z \ 1) * u,x \ 1) = (L(x,y,z) \ 1) * T(u,x \ 1). R(x,y,z) * (L(R(x,y,z),u,w) \ 1) = R(x * R(x \ 1,u \ 1,w \ 1),y,z). R(x * R(x \ 1,y \ 1,z \ 1),u,w) = R(x,u,w) * (L(R(x,u,w),y,z) \ 1). R(x \ 1,y,z \ 1) != u \ 1 | L(x,y \ 1,z) = u. R(x \ 1,y \ 1,z) \ 1 = L(x,y,z \ 1). ((x * y) \ 1) * x = R(y \ 1,x \ 1,x). R(x \ 1,y \ 1,y) = ((y * x) \ 1) * y. R(x \ 1,y,z) \ 1 = L(x,y \ 1,z \ 1). L(x,y \ 1,z \ 1) = R(x \ 1,y,z) \ 1. L(x,y,z \ 1) \ 1 != u | R(x \ 1,y \ 1,z) = u. K(x,L(y,z,u \ 1)) = R(K(x,y),z \ 1,u). R(K(x,y),z \ 1,u) = K(x,L(y,z,u \ 1)). R(x,y \ 1,y) = ((y * (x \ 1)) \ 1) * y. ((x * (y \ 1)) \ 1) * x = R(y,x \ 1,x). ((x * y) \ 1) * x != z | x * ((y * x) \ 1) = z. x * (((y \ 1) * x) \ 1) = R(y,x \ 1,x). x * ((x \ 1) * y) = R(y,x \ 1,x). L(x,y,y \ 1) = R(x,y \ 1,y). R(x,y \ 1,y) = L(x,y,y \ 1). x \ 1 != L(y,y \ 1,z \ 1) | L(y \ 1,y,z) = x. L(x \ 1,x,y) = R(x \ 1,x,y). R(x \ 1,x,y) = L(x \ 1,x,y). L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ 1. L(a(x,y,y \ 1),z \ 1,u \ 1) = R(a(y,y \ 1,x),z,u) \ 1. L((x \ 1) * y,z \ 1,u \ 1) = R((y \ 1) * x,z,u) \ 1. L(x \ 1,y \ 1,T(z \ 1,u)) = R(x,y,T(z,u)) \ 1. L(x \ 1,x,y) != z | L(x \ 1,x,x * y) = z. L((x \ 1) \ 1,x \ 1,(x \ 1) * (y \ 1)) = R(x \ 1,x,y) \ 1. L(x,y,(z \ 1) \ 1) != u | L(x,y,z) = u. L(x \ 1,y \ 1,z) = R(x,y,z \ 1) \ 1. ((R(x,y,z) \ 1) \ 1) * ((x \ 1) * u) = (x \ 1) * ((L(x \ 1,y \ 1,z \ 1) \ 1) * u). (x \ 1) * ((L(x \ 1,y \ 1,z \ 1) \ 1) * u) = ((R(x,y,z) \ 1) \ 1) * ((x \ 1) * u). L(x \ 1,y \ 1,z \ 1) \ (x \ 1) = (R(x,y,z) \ x) \ 1. x \ 1 != L(y \ 1,z \ 1,u \ 1) | R(y,z,u) = x. R(x,y,z) = R(x,y,(z \ 1) \ 1). R(x,y,(z \ 1) \ 1) = R(x,y,z). L(x,y,z) = L(L(L(x,x \ 1,u \ 1),y,z),L(x \ 1,x,u),u). L(L(L(x,x \ 1,y \ 1),z,u),L(x \ 1,x,y),y) = L(x,z,u). x != L(y \ 1,z,u) \ 1 | R(y,z \ 1,u \ 1) = x. R(x,x \ 1,y \ 1) = R(x,x \ 1,(L(x,z,u) \ y) \ 1). R(x,x \ 1,(L(x,y,z) \ u) \ 1) = R(x,x \ 1,u \ 1). (x \ 1) \ L(x \ 1,y \ 1,z \ 1) = R(x,y,z) \ x. (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. (x \ 1) \ (y \ 1) != z | (y / x) \ 1 = z. (R(x,y,z) / x) \ 1 = R(x,y,z) \ x. L(x \ 1,y,y \ 1) \ (x \ 1) = (L(x,y,y \ 1) \ x) \ 1. L(x \ 1,y,y \ 1) \ (x \ 1) = a(y,y \ 1,x) \ 1. a(x,x \ 1,y \ 1) = a(x,x \ 1,y) \ 1. a(x \ 1,y,y \ 1) = a(y,y \ 1,x). a(x,y,y \ 1) = a(y,y \ 1,x \ 1). a(x,x \ 1,y \ 1) = a(y,x,x \ 1). a(x,x \ 1,y \ 1) != z | a(y,x,x \ 1) = z. a(x,y,y \ 1) != z | (y \ x) \ ((y \ 1) * x) = z. (x \ (y \ 1)) \ ((x \ 1) * (y \ 1)) = a(x,x \ 1,y). a(x,x \ 1,y \ 1) != z | a(x,x \ 1,y \ K(u,y)) = z. a(x,x \ 1,y \ K(z,y)) = a(y,x,x \ 1). ((x \ 1) * y) * a(x,y,y \ 1) = (y \ x) \ 1. a(1 / x,x,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). a(x,x \ 1,T(y \ 1,z)) != u | a(T(y,z),x,x \ 1) = u. a(x,x \ 1,y \ K(z,y)) != u | a(y,x,x \ 1) = u. ((x \ 1) * y) \ ((y \ x) \ 1) = a(x,y,y \ 1). (x \ (y \ 1)) \ ((y * x) \ 1) = a(x,x \ 1,y). a(x,x \ 1,y) != z \ ((y * x) \ 1) | x \ (y \ 1) = z. a(x \ 1,x,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). a(x,x \ 1,a(x,y,z)) != u \ ((x * a(x,y,z)) \ 1) | x \ (a(x,y,z) \ 1) = u. a(x,x \ 1,y \ K(z,y)) = a(y,1 / x,(1 / x) \ 1). a(x,y,y \ 1) = a(x,1 / y,(1 / y) \ 1). a(x,1 / y,(1 / y) \ 1) = a(x,y,y \ 1). a(x,1 / y,z) != u | a(x,y \ 1,z) = u. a(x,y \ 1,(1 / y) \ 1) = a(x,y,y \ 1). a(x,y \ 1,(y \ 1) \ 1) = a(x,y,y \ 1). a(T(x,y),z,z \ 1) = a(z,z \ 1,x \ 1). x != a(y,y \ 1,z \ 1) | a(z,y,y \ 1) = x. a(x,y,y \ 1) = a(T(x,z),y,y \ 1). a(T(x,y),z,z \ 1) = a(x,z,z \ 1). a(x \ y,z,z \ 1) = a(z,z \ 1,(y / x) \ 1). a(x,x \ 1,(y / z) \ 1) = a(z \ y,x,x \ 1). a(T(x,y),z,z \ 1) != u | a(x,z,z \ 1) = u. a(x \ y,z,z \ 1) = a(y / x,z,z \ 1). a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). a(R(x \ y,x,z),u,u \ 1) = a((y * z) / (x * z),u,u \ 1). x \ (y * ((x \ y) \ 1)) != z | a(y,x \ y,(x \ y) \ 1) = z. a(x,y \ x,(y \ x) \ 1) = a(y,y \ x,x \ 1). x != a(y / z,u,u \ 1) | a(z \ y,u,u \ 1) = x. a((x * y) \ (z * y),u,u \ 1) = a(R(x \ z,x,y),u,u \ 1). a(R(x \ y,x,z),u,u \ 1) = a((x * z) \ (y * z),u,u \ 1). (x \ T(x * y,z)) \ 1 = x * (T(y / (x \ 1),z) \ 1). x * (T(y / (x \ 1),z) \ 1) = (x \ T(x * y,z)) \ 1. x * T((y / (x \ 1)) \ 1,z) = (x \ T(x * y,z)) \ 1. x * T(x \ (y \ 1),z) = (x \ T(x * y,z)) \ 1. (x \ T(x * y,z)) \ 1 = x * T(x \ (y \ 1),z). (x \ 1) * (y * T(y \ (z \ 1),u)) = ((y \ T(y * z,u)) * x) \ 1. (x * R(x \ 1,y,z)) \ 1 = (R(x \ 1,y,z) \ 1) / x. (R(x \ 1,y,z) \ 1) / x = (x * R(x \ 1,y,z)) \ 1. L(x,y \ 1,z \ 1) / x = (x * R(x \ 1,y,z)) \ 1. x \ L(x,y \ 1,z \ 1) = (x * R(x \ 1,y,z)) \ 1. (x * R(x \ 1,y,z)) \ 1 = x \ L(x,y \ 1,z \ 1). (x * R(x \ 1,y,z)) \ 1 != u | R(x \ 1,y,z) \ (x \ 1) = u. R(x \ 1,y,z) \ (x \ 1) = x \ L(x,y \ 1,z \ 1). x \ 1 != y \ L(y,z,u) | L(y,z,u) \ y = x. L(x,y \ 1,z \ 1) \ x = x * R(x \ 1,y,z). R(x * R(x \ 1,y,z),u \ 1,w \ 1) = L(x \ L(x,y \ 1,z \ 1),u,w) \ 1. x * R(x \ 1,y,z) != u \ x | L(x,y \ 1,z \ 1) = u. x \ y != y * R(y \ 1,z,u) | L(y,z \ 1,u \ 1) = x. L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T(x \ 1,y) * R(T(x,y),z,u). ((x * y) \ 1) * x = T(x,z) * ((y * T(x,z)) \ 1). T(x,y) * ((z * T(x,y)) \ 1) = ((x * z) \ 1) * x. x != ((y * z) \ 1) * y | y * ((z * y) \ 1) = x. x * ((y * x) \ 1) = T(x,z) * ((y * T(x,z)) \ 1). T(x,y) * ((z * T(x,y)) \ 1) = x * ((z * x) \ 1). (x * ((y * x) \ 1)) \ 1 = L(y,T(x,z),T(x \ 1,z)). L(x,T(y,z),T(y \ 1,z)) = (y * ((x * y) \ 1)) \ 1. x != (y * ((z * y) \ 1)) \ 1 | L(z,y,y \ 1) = x. L(x,y,y \ 1) = L(x,T(y,z),T(y \ 1,z)). L(x,T(y,z),T(y \ 1,z)) = L(x,y,y \ 1). L(L(x \ 1,x,y),T(y,z),T(y \ 1,z)) != u | (x \ T(y,z)) * T(y \ 1,z) = u. (x \ T(y,z)) * T(y \ 1,z) = L(L(x \ 1,x,y),y,y \ 1). L(L(x \ 1,x,y),y,y \ 1) = (x \ T(y,z)) * T(y \ 1,z). L(x,T(y,z),T(y \ 1,z)) != u | L(x,T(y \ 1,z),y) = u. L(x,T(y \ 1,z),y) = L(x,y,y \ 1). T(x,y) * (T(x \ 1,y) * z) = L(z,x,x \ 1). L(x,y,y \ 1) \ (1 * x) = a(T(y,z),T(y,z) \ 1,x). a(T(x,y),T(x,y) \ 1,z) = L(z,x,x \ 1) \ (1 * z). x != L(y,z,z \ 1) \ (1 * y) | a(z,z \ 1,y) = x. a(x,x \ 1,y) = a(T(x,z),T(x,z) \ 1,y). a(T(x,y),T(x,y) \ 1,z) = a(x,x \ 1,z). a(T(x,y),T(x,y) \ 1,z) != u | a(x,x \ 1,z) = u. a(x,T(y,z),T(y,z) \ 1) = a(y,y \ 1,x \ K(u,x)). a(T(x,y),T(x \ 1,y),z) = a(x,x \ 1,z). x != a(y,y \ 1,z \ K(u,z)) | a(z,y,y \ 1) = x. a(x,y,y \ 1) = a(x,T(y,z),T(y,z) \ 1). a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). a(x,T(y,z),T(y,z) \ 1) != u | a(x,y,y \ 1) = u. a(x,T(y,z),T(y \ 1,z)) = a(x,y,y \ 1). a(x,K(y,z) * u,T((u * K(y,z)) \ 1,K(y,z))) = a(x,u * K(y,z),(u * K(y,z)) \ 1). L(L(x \ 1,x,y),y,y \ 1) != z | (x \ y) * (y \ 1) = z. (x \ y) * (y \ 1) = (x \ T(y,z)) * T(y \ 1,z). (x \ T(y,z)) * T(y \ 1,z) = (x \ y) * (y \ 1). (x \ T(y,z)) * T(y \ 1,z) != u | T(y \ 1,z) * (T(y,z) / x) = u. T(x \ 1,y) * (T(x,y) / z) = (z \ x) * (x \ 1). (x \ 1) * T(R(x,y,z) \ x,u) = x \ T(R(x,y,z) \ x,u). L(x,x \ 1,(x \ 1) * (y \ 1)) = R(x \ 1,x,y) \ 1. L(x,x \ 1,(y * x) \ 1) = R(x \ 1,x,y) \ 1. x != R(y \ 1,z,u) \ 1 | L(y,z \ 1,u \ 1) = x. L(x,x \ 1,y \ 1) = L(x,x \ 1,(y * x) \ 1). L(x,x \ 1,(y * x) \ 1) = L(x,x \ 1,y \ 1). (x \ 1) * (y * T(y \ (((z * (u \ 1)) / y) \ 1),u)) = ((y \ (y * (((u \ 1) * z) / y))) * x) \ 1. ((x \ 1) * ((L(x,y,z) \ 1) * u)) \ (((x * L(x,y,z)) \ 1) * u) = a(x \ 1,L(x,y,z) \ 1,u). ((L(x,y,z) \ 1) * (((x \ 1) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). (((L(x,y,z) \ 1) \ 1) * ((x \ 1) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). ((x \ 1) * ((y * z) \ 1)) \ (((z * x) \ 1) * (y \ 1)) = a(x \ 1,z \ 1,y \ 1). a(x,x \ 1,y \ z) = y \ (z * R(z \ y,x,x \ 1)). x \ (y * R(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). x \ (y * L(y \ x,z,z \ 1)) = a(z,z \ 1,x \ y). L(a(x \ y,z,z \ 1),x \ y,x) = a(z,z \ 1,y \ x). L(a(x,y,y \ 1),y \ x,y) = a(y,y \ 1,x \ y). a(x,x \ 1,y \ x) != z | a(y,x,x \ 1) = z. (x \ y) * (((x \ 1) * y) \ 1) = ((x \ y) \ ((x \ 1) * y)) \ 1. ((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * (((x \ 1) * y) \ 1). ((x \ y) \ ((x \ 1) * y)) \ 1 = (x \ y) * ((y \ 1) * x). a(x,y,y \ 1) \ 1 = (y \ x) * ((x \ 1) * y). (x \ y) * ((y \ 1) * x) = a(y,x,x \ 1) \ 1. a(x,x \ 1,y) = (x \ y) * ((y \ 1) * x). (x \ y) * ((y \ 1) * x) = a(x,x \ 1,y). (x \ y) \ a(x,x \ 1,y) = (y \ 1) * x. (x \ ((x \ 1) \ y)) * (((x \ y) \ 1) * (x \ 1)) = a(x \ 1,(x \ 1) \ 1,x \ y). (x \ ((y / z) \ 1)) \ a(z \ y,x,x \ 1) = (((y / z) \ 1) \ 1) * x. (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = (((y / x) \ 1) \ 1) * x. (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = (y / x) * x. x = (y \ ((x / y) \ 1)) \ a(x,y,y \ 1). (x \ ((y / x) \ 1)) \ a(y,x,x \ 1) = y. (((x \ y) \ 1) * (x \ 1)) * L(((x \ 1) \ 1) * (x \ y),z,u) = ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)). ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,(x * y) \ 1),x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(T(z,y \ (x \ 1)),x,y). a(x,x \ 1,L(y,z,u)) = L(y * R(y \ 1,x,x \ 1),z,u). L(x * R(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). L(x * L(x \ 1,y,y \ 1),z,u) = a(y,y \ 1,L(x,z,u)). L(x * (y * ((x * y) \ 1)),z,u) = a(y,y \ 1,L(x,z,u)). L(x * (y * ((x * y) \ 1)),z,x * y) != u | x * (y * ((x * y) \ 1)) = u. x * (y * ((x * y) \ 1)) = a(y,y \ 1,L(x,z,x * y)). a(x,x \ 1,L(y,z,y * x)) = y * (x * ((y * x) \ 1)). L(a(x,x \ 1,y),z,u) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,L(y,z,u)) = L(a(x,x \ 1,y),z,u). a(x,x \ 1,L((x \ 1) * y,z,u)) = L(a(x,x \ 1,y),z,u). R(a(x,x \ 1,y) \ 1,z,u \ 1) = a(x,x \ 1,L(y,z \ 1,u)) \ 1. a(x,x \ 1,L(y \ 1,z,u)) = L(a(y,x,x \ 1),z,u). a(x,x \ 1,L(y,z,y * x)) != u | a(x,x \ 1,y) = u. a(x,x \ 1,L(y \ 1,z,u)) != w | a(x,x \ 1,L(y \ K(y,v5),z,u)) = w. a(x,x \ 1,L(y \ K(y,z),u,w)) = L(a(y,x,x \ 1),u,w). a(x,x \ 1,R(y,z,u) \ 1) = L(a(y,x,x \ 1),z \ 1,u \ 1). L(a(x,y,y \ 1),z \ 1,u \ 1) = a(y,y \ 1,R(x,z,u) \ 1). x != L(a(y,y \ 1,z),u,w) | a(y,y \ 1,L(z,u,w)) = x. a(x,x \ 1,L(y,z,u)) = a(x,x \ 1,L((x \ 1) * y,z,u)). a(x,x \ 1,L((x \ 1) * y,z,u)) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,L((x \ 1) * (y \ z),x,y)) != u | a(x,x \ 1,(y * x) \ z) = u. a(x,x \ 1,(y * x) \ z) = a(x,x \ 1,L(y \ z,x,y)). a(x,x \ 1,L(y \ z,x,y)) = a(x,x \ 1,(y * x) \ z). L(a(x,y,y \ 1),z \ 1,u \ 1) != w | R(a(y,y \ 1,x),z,u) \ 1 = w. R(a(x,x \ 1,y),z,u) \ 1 = a(x,x \ 1,R(y,z,u) \ 1). a(x,x \ 1,R(y,z,u) \ 1) = R(a(x,x \ 1,y),z,u) \ 1. a(R(x,y,z),u,u \ 1) = R(a(u,u \ 1,x),y,z) \ 1. R(a(x,x \ 1,y),z,u) \ 1 = a(R(y,z,u),x,x \ 1). R(x,y,z \ 1) \ 1 != u | L(x \ 1,y \ 1,z) = u. L(a(x,x \ 1,y) \ 1,z \ 1,u) = a(R(y,z,u \ 1),x,x \ 1). R(a(x,x \ 1,y),z,u) \ 1 = a(R(x \ y,z,u),x,x \ 1). a(R(x \ y,z,u),x,x \ 1) = R(a(x,x \ 1,y),z,u) \ 1. x != R(a(y,y \ 1,z),u,w) \ 1 | a(R(z,u,w),y,y \ 1) = x. a(R(x,y,z),u,u \ 1) = a(R(u \ x,y,z),u,u \ 1). a(R(x \ y,z,u),x,x \ 1) = a(R(y,z,u),x,x \ 1). a(R(x \ y,x,z),u,u \ 1) != w | a((x * z) \ (y * z),u,u \ 1) = w. a((x * y) \ (z * y),x,x \ 1) = a(R(z,x,y),x,x \ 1). L(a(x,y,y \ 1),z \ 1,u) = a(R(x,z,u \ 1),y,y \ 1). a(R(x,y,z \ 1),u,u \ 1) = L(a(x,u,u \ 1),y \ 1,z). a(L(x,y \ 1,z),u,u \ 1) = R(a(u,u \ 1,x) \ 1,y,z \ 1). R(a(x,x \ 1,y) \ 1,z,u \ 1) = a(L(y,z \ 1,u),x,x \ 1). R(a(x,y,y \ 1),z,u \ 1) = a(L(x,z \ 1,u),y,y \ 1). a(L(x,y \ 1,z),u,u \ 1) = R(a(x,u,u \ 1),y,z \ 1). T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x,u) * L(T(x \ 1,u),y,z). x != T(y,z) * L(T(y \ 1,z),u,w) | T(y * L(y \ 1,u,w),z) = x. T(x * L(x \ 1,y,z),u) = T(x * L(x \ 1,y,z),(x \ 1) * u). T(x * L(x \ 1,y,z),(x \ 1) * u) = T(x * L(x \ 1,y,z),u). T(x * L(x \ 1,y,z),x \ u) = T(x * L(x \ 1,y,z),u). T(x * L(x \ 1,y,z),x \ u) != w | (x \ u) \ (u * L(u \ (x \ u),y,z)) = w. (x \ y) \ (y * L(y \ (x \ y),z,u)) = T(x * L(x \ 1,z,u),y). (x \ y) * T(x * L(x \ 1,z,u),y) = (x * L(x \ 1,z,u)) * (x \ y). x \ ((y \ x) * L((y \ x) \ ((x \ (x / y)) \ (y \ x)),z,u)) = T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x). x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x) = ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)). ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x). (x * y) * T((x \ 1) * L((x \ 1) \ 1,z,u),L(y,x,x \ 1)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * ((x \ 1) \ L(y,x,x \ 1)). ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T((x \ 1) * L((x \ 1) \ 1,y,z),L(u,x,x \ 1)). (x \ 1) * ((L(x,y,z) \ 1) * u) = (L(x,y,z) \ 1) * ((x \ 1) * u). (L(x,y,z) \ 1) * ((x \ 1) * u) = (x \ 1) * ((L(x,y,z) \ 1) * u). (L(x,y,z) \ 1) \ ((x \ 1) * u) = (x \ 1) * ((L(x,y,z) \ 1) \ u). ((x \ 1) * ((L(x,y,z) \ 1) * u)) \ (((x * L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,x \ 1,u). T((L(x,y,z) \ 1) * u,x \ 1) = (L(x,y,z) \ 1) * T(u,x \ 1). T(x,y \ 1) * L(y,z,u) = T(x * L(y,z,u),y \ 1). T(x * L(y,z,u),y \ 1) = T(x,y \ 1) * L(y,z,u). L(x,y,z) \ T(u,x \ 1) = T(L(x,y,z) \ u,x \ 1). T(L(x,y,z) \ u,x \ 1) = L(x,y,z) \ T(u,x \ 1). (x \ 1) * T(y * L(x,z,u),x \ 1) = (y * (x \ 1)) * L(x,z,u). (x * L(y,z,u)) * (y \ 1) = (x * (y \ 1)) * L(y,z,u). (x * L(y * (z * ((y * z) \ 1)),u,w)) * a(y,z,(y * z) \ 1) = (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w). (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * L(y * (z * ((y * z) \ 1)),u,w)) * a(y,z,(y * z) \ 1). (x * L(a(y,z,(y * z) \ 1),u,w)) * (y * (z * ((y * z) \ 1))) = (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w). (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * L(a(y,z,(y * z) \ 1),u,w)) * (y * (z * ((y * z) \ 1))). x != y * (L(y,z,u) \ 1) | L(y,z,u) \ y = x. L(L(x,y,z),u,w) \ L(x,y,z) = L(x * R(x \ 1,u \ 1,w \ 1),y,z). L(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(L(x,u,w),y,z) \ L(x,u,w). L(x * (L(x,y,z) \ 1),u,w) = L(L(x,u,w),y,z) \ L(x,u,w). L(L(x,y,z),u,w) \ L(x,y,z) = L(x * (L(x,u,w) \ 1),y,z). L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z). L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,y,z) \ x,u,w). L(x,y,z) \ L(x,u,L(x,w,v5)) = L(L(x,y,z) \ x,u,L(x,w,v5)). L(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ L(x,u,L(x,w,v5)). L(L((x \ 1) \ y,z,u),x,x \ 1) \ L((x \ 1) \ y,z,u) = L((x * y) \ ((x \ 1) \ y),z,u). L(L(x,y,z) \ x,u,w) \ 1 = L(x,u,w) \ L(L(x,u,w),y,z). L(x,y,z) \ L(L(x,y,z),u,w) = L(L(x,u,w) \ x,y,z) \ 1. L(x,y,z) * (L(L(x,u,w) \ x,y,z) \ 1) = L(L(x,y,z),u,w). L(x \ 1,y,z) \ L(u \ (u / x),y,z) = L(L(x \ 1,x,u) \ (x \ 1),y,z) \ 1. L(L(x \ 1,x,y) \ (x \ 1),z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). L(L(x,x \ 1,y \ 1),z,u) \ L(L(L(x,x \ 1,y \ 1),z,u),L(x \ 1,x,y),y) = L(x \ L(x,x \ 1,y \ 1),z,u) \ 1. L(x,y,z) \ L(L(x,y,z),u,w) != v5 | L(L(x,u,w) \ x,y,z) \ 1 = v5. L(L(x,y,z) \ x,u,L(x,w,v5)) = L(x,y,z) \ x. L(x,y,L(z,u,z)) != w | L(x,y,z) = w. L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x. (L(x,y,z) * (L(x,y,z) \ x)) * u = L(x,y,z) * (u * ((L(x,y,z) * u) \ (x * u))). L(x,y,z) * (u * ((L(x,y,z) * u) \ (x * u))) = (L(x,y,z) * (L(x,y,z) \ x)) * u. a(x,y,x * y) = L(x * y,y,x) \ (x * y). L(x * y,y,x) \ (x * y) = a(x,y,x * y). a(x,y,x * y) \ 1 = (x * y) \ L(x * y,y,x). (x * y) \ L(x * y,y,x) = a(x,y,x * y) \ 1. a(x,y,x * y) \ 1 != z | (x * y) \ L(x * y,y,x) = z. x \ L((y * x) * (x \ (y \ x)),x \ (y \ x),y * x) = a(y * x,x \ (y \ x),(y * x) * (x \ (y \ x))) \ 1. a(x * y,y \ (x \ y),(x * y) * (y \ (x \ y))) \ 1 = y \ L((x * y) * (y \ (x \ y)),y \ (x \ y),x * y). L(R(x,y,z),u,w) \ R(x,y,z) = R(x * R(x \ 1,u \ 1,w \ 1),y,z). R(x * R(x \ 1,y \ 1,z \ 1),u,w) = L(R(x,u,w),y,z) \ R(x,u,w). R(x * (L(x,y,z) \ 1),u,w) = L(R(x,u,w),y,z) \ R(x,u,w). L(R(x,y,z),u,w) \ R(x,y,z) = R(x * (L(x,u,w) \ 1),y,z). L(R(x,y,z),u,w) \ R(x,y,z) = R(L(x,u,w) \ x,y,z). L(L(x,x \ 1,y),z,u) \ R(x,x \ 1,y) = R(L(x,z,u) \ x,x \ 1,y). L(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = R(L(x,z,u) \ x,x \ 1,y). L(L(x,y,z),u,w) \ L(x,y,z) != v5 | L(L(x,u,w) \ x,y,z) = v5. L(L(x,y,z) \ x,x \ 1,u) = R(L(x,y,z) \ x,x \ 1,u). R(L(x,y,z) \ x,x \ 1,u) = L(L(x,y,z) \ x,x \ 1,u). R((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u) = L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u). L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u). (((x * y) * z) \ 1) \ (((y * z) \ 1) * (x \ 1)) = a(z \ 1,y \ 1,x \ 1). (((x * y) * z) \ 1) \ ((x * (y * z)) \ 1) = a(z \ 1,y \ 1,x \ 1). ((x * (y * z)) / ((x * y) * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). ((x * y) \ ((x * (y * z)) / z)) \ 1 = a(z \ 1,y \ 1,x \ 1). ((x * y) \ L(x * y,y,x)) \ 1 = a((x * y) \ 1,y \ 1,x \ 1). a((x * y) \ 1,y \ 1,x \ 1) = ((x * y) \ L(x * y,y,x)) \ 1. L(x \ L(x,y,z),x,z * y) \ 1 = a(x \ 1,y \ 1,z \ 1). (x * a(y \ 1,z \ 1,u \ 1)) \ 1 = ((u * z) \ ((u * (z * y)) / y)) * (x \ 1). ((x * y) \ ((x * (y * z)) / z)) * (u \ 1) = (u * a(z \ 1,y \ 1,x \ 1)) \ 1. L(x \ L(x,T(y,z),z),x,y * z) \ 1 = a(x \ 1,T(y,z) \ 1,z \ 1). a((x * y) \ 1,y \ 1,x \ 1) = (a(x,y,x * y) \ 1) \ 1. x != (y \ 1) \ 1 | y = x. a(x,y,x * y) = a((x * y) \ 1,y \ 1,x \ 1). a((x * y) \ 1,y \ 1,x \ 1) = a(x,y,x * y). L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,T(y,z) \ 1,z \ 1). L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,T(y \ 1,z),z \ 1). (x \ ((x \ 1) \ y)) * ((x * (x \ y)) \ 1) = a(x \ 1,(x \ 1) \ 1,x \ y). (x \ ((x \ 1) \ y)) * (y \ 1) = a(x \ 1,(x \ 1) \ 1,x \ y). a(x \ 1,(x \ 1) \ 1,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). a(x \ 1,x,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). a(x,x \ 1,x \ y) = (x \ ((x \ 1) \ y)) * (y \ 1). a(x,x \ 1,y) = (x \ ((x \ 1) \ y)) * (y \ 1). (x \ ((x \ 1) \ y)) * (y \ 1) = a(x,x \ 1,y). (x \ ((x \ 1) \ y)) \ a(x,x \ 1,y) = y \ 1. K(x \ 1,y \ ((x * a(z \ 1,u \ 1,w \ 1)) \ 1)) != v5 | K(x \ 1,y \ ((w * u) \ ((w * (u * z)) / z))) = v5. (x \ 1) * (((((x \ y) \ 1) \ 1) / y) \ 1) = x \ ((y \ 1) \ ((y \ 1) / (x \ 1))). (x \ 1) * (((x \ y) / y) \ 1) = x \ ((y \ 1) \ ((y \ 1) / (x \ 1))). x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x \ 1) * (((x \ y) / y) \ 1). x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x \ 1) * ((y \ (y / x)) \ 1). x != (y \ 1) * (z \ 1) | (z * y) \ 1 = x. ((x \ (x / y)) * y) \ 1 = y \ ((x \ 1) \ ((x \ 1) / (y \ 1))). x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = ((y \ (y / x)) * x) \ 1. x \ ((y \ 1) \ ((y \ 1) / (x \ 1))) = (x * (y \ (y / x))) \ 1. x \ ((y \ 1) \ ((x \ y) \ 1)) = (x * (y \ (y / x))) \ 1. x \ (((x \ y) / y) \ 1) = (x * (y \ (y / x))) \ 1. (x * (y \ (y / x))) \ 1 = x \ (((x \ y) / y) \ 1). (x * (y \ (y / x))) \ 1 = x \ ((y \ (y / x)) \ 1). ((x \ (x / y)) * ((x * y) \ ((x * y) * y))) \ 1 = (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1). (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = ((x \ (x / y)) * ((x * y) \ ((x * y) * y))) \ 1. x != T(y \ 1,z) * R(T(y,z),u,w) | T(y,z) \ R(T(y,z),u,w) = x. T(x,y) \ R(T(x,y),z,u) = L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y). L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T(x,y) \ R(T(x,y),z,u). x != (y * (y \ z)) * u | z * u = x. x * y = L(x,z,u) * (y * ((L(x,z,u) * y) \ (x * y))). L(x,y,z) * (u * ((L(x,y,z) * u) \ (x * u))) = x * u. L(x,y,z) \ (x * u) = u * ((L(x,y,z) * u) \ (x * u)). x * ((L(y,z,u) * x) \ (y * x)) = L(y,z,u) \ (y * x). x != L(y,z,u) \ (y * w) | y * (L(y,z,u) \ w) = x. x * (L(x,y,z) \ u) = u * ((L(x,y,z) * u) \ (x * u)). x * ((L(y,z,u) * x) \ (y * x)) = y * (L(y,z,u) \ x). x \ (y * (L(y,z,u) \ x)) = (L(y,z,u) * x) \ (y * x). (L(x,y,z) * u) \ (x * u) = u \ (x * (L(x,y,z) \ u)). (x * y) * a(x,y,z) = z * (L(z,y,x) \ (x * y)). x * (L(x,y,z) \ (z * y)) = (z * y) * a(z,y,x). (L(x,y,z) * y) \ (x * y) != u | (y * L(x,y,z)) \ (y * x) = u. (x * L(y,x,z)) \ (x * y) = x \ (y * (L(y,x,z) \ x)). (L(x,y,z) * (x \ u)) \ u = (x \ u) \ (x * (L(x,y,z) \ (x \ u))). (x \ y) \ (x * (L(x,z,u) \ (x \ y))) = (L(x,z,u) * (x \ y)) \ y. (L(x / y,z,u) * y) \ x = y \ ((x / y) * (L(x / y,z,u) \ y)). x \ ((y / x) * (L(y / x,z,u) \ x)) = (L(y / x,z,u) * x) \ y. (x * L(y,z,u)) \ (T(y,x \ y) * x) = x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)). x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (T(y,x \ y) * x). (x \ y) \ (L(x,z,u) \ y) = (L(x,z,u) * (x \ y)) \ y. (L(x,y,z) * (x \ u)) \ u = (x \ u) \ (L(x,y,z) \ u). x \ ((y / x) * (L(y / x,z,u) \ x)) = (x * L(x \ y,z,u)) \ y. x \ (L(y / x,z,u) \ y) = (x * L(x \ y,z,u)) \ y. (x * L(x \ y,z,u)) \ y = x \ (L(y / x,z,u) \ y). (x * ((y * x) \ z)) \ (y \ z) = x \ (L((y \ z) / x,x,y) \ (y \ z)). x \ (L((y \ z) / x,x,y) \ (y \ z)) = (x * ((y * x) \ z)) \ (y \ z). L(K(x,y),x,z) != u | K(x,y) = u. K(L(x,y,z),u) = (L(x,y,z) \ 1) * L(T(x,u),y,z). (L(x,y,z) \ 1) * L(T(x,u),y,z) = K(L(x,y,z),u). (x \ 1) * ((L(x \ 1,y \ 1,z \ 1) \ 1) * u) = R(x,y,z) * ((x \ 1) * u). (x \ 1) * (((R(x,y,z) \ 1) \ 1) * u) = R(x,y,z) * ((x \ 1) * u). (x \ 1) * (R(x,y,z) * u) = R(x,y,z) * ((x \ 1) * u). R(x,y,z) * ((x \ 1) * u) = (x \ 1) * (R(x,y,z) * u). ((x \ 1) * (R(x,y,z) * u)) \ ((x \ R(x,y,z)) * u) = a(R(x,y,z),x \ 1,u). a(x \ 1,R(x,y,z),u) = a(R(x,y,z),x \ 1,u). a(R(x,y,z),x \ 1,u) = a(x \ 1,R(x,y,z),u). a(x,K(y,z) * u,T(K(z,y) / u,K(y,z))) = a(x,u * K(y,z),(u * K(y,z)) \ 1). a(x,K(y,z) * u,u \ K(z,y)) = a(x,u * K(y,z),(u * K(y,z)) \ 1). a(x,y * K(z,u),(y * K(z,u)) \ 1) = a(x,K(z,u) * y,y \ K(u,z)). a(x,y * K(z,u),K(u,z) / y) = a(x,K(z,u) * y,y \ K(u,z)). a(x,K(y,z) * u,u \ K(z,y)) = a(x,u * K(y,z),K(z,y) / u). x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (y * (K(x,y) * x)). x \ (T(y,x \ y) * (L(T(y,x \ y),z,u) \ x)) = (x * L(y,z,u)) \ (x * y). x \ (T(y,x \ y) * (x / L(y,z,u))) = (x * L(y,z,u)) \ (x * y). x \ (y * (K(x,y) * (x / L(y,z,u)))) = (x * L(y,z,u)) \ (x * y). x \ ((x / L(y,z,u)) * y) = (x * L(y,z,u)) \ (x * y). (x * L(y,z,u)) \ (x * y) = x \ ((x / L(y,z,u)) * y). ((x / y) * L(y,z,u)) \ x = (x / y) \ (((x / y) / L(y,z,u)) * y). (x / y) \ (((x / y) / L(y,z,u)) * y) = ((x / y) * L(y,z,u)) \ x. (x / y) \ (x / L(y,z,u)) = ((x / y) * L(y,z,u)) \ x. ((x / y) * L(y,z,u)) \ x = (x / y) \ (x / L(y,z,u)). a((x * y) \ z,T(x,y),T(x,y) \ 1) = a(x * ((y * x) \ z),x,x \ 1). x != a(y * z,y,y \ 1) | a(z,y,y \ 1) = x. a((x * y) \ z,y,y \ 1) = a((y * x) \ z,T(y,x),T(y,x) \ 1). a((x * y) \ z,T(x,y),T(x,y) \ 1) = a((y * x) \ z,x,x \ 1). a((x * y) \ z,y,y \ 1) != u | a((y * x) \ z,y,y \ 1) = u. R(x,y \ 1,z \ 1) \ L(x,L(x \ 1,y,z),R(x,y \ 1,z \ 1)) = x * L(x \ 1,y,z). R(x,y \ 1,z \ 1) \ x = x * L(x \ 1,y,z). R(L(x \ 1,y,z),u \ 1,w \ 1) \ L(x \ 1,y,z) = L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w). (x \ 1) * (y * T(y \ ((y \ 1) \ (z * (u \ 1))),z)) = ((y \ (y * (((z \ 1) * u) / y))) * x) \ 1. ((x \ 1) * ((L(x,y,z) \ 1) * u)) \ (((x * L(x,y,z)) \ 1) * u) != w | a(x \ 1,L(x,y,z) \ 1,u) = w. a(x \ 1,L(x,y,z) \ 1,u) = a(L(x,y,z) \ 1,x \ 1,u). a(L(x,y,z) \ 1,x \ 1,u) = a(x \ 1,L(x,y,z) \ 1,u). L(x * y,z,u) \ L((x \ 1) \ y,z,u) = L((x * y) \ ((x \ 1) \ y),z,u). L(x * y,z,u) \ L((x \ 1) \ y,z,u) = L(a(x,x \ 1,y),z,u). a(x,x \ 1,L(y,z,u)) = L(x * y,z,u) \ L((x \ 1) \ y,z,u). L(x * y,z,u) \ L((x \ 1) \ y,z,u) = a(x,x \ 1,L(y,z,u)). a(x,x \ 1,L(y,z,u)) \ 1 = L((x \ 1) \ y,z,u) \ L(x * y,z,u). L((x \ 1) \ y,z,u) \ L(x * y,z,u) = a(x,x \ 1,L(y,z,u)) \ 1. a(L(x,y,z),u,u \ 1) = L((u \ 1) \ x,y,z) \ L(u * x,y,z). L((x \ 1) \ y,z,u) \ L(x * y,z,u) = a(L(y,z,u),x,x \ 1). L(x \ y,z,u) \ L((x \ 1) * y,z,u) = a(L(y,z,u),x \ 1,(x \ 1) \ 1). x != a(y,z \ 1,(z \ 1) \ 1) | a(y,z,z \ 1) = x. a(L(x,y,z),u,u \ 1) = L(u \ x,y,z) \ L((u \ 1) * x,y,z). L(x \ y,z,u) \ L((x \ 1) * y,z,u) = a(L(y,z,u),x,x \ 1). L(x \ y,z,u) \ L((x \ 1) * y,z,u) != w | a(L(x \ y,z,u),x,x \ 1) = w. a(L(x \ y,z,u),x,x \ 1) = a(L(y,z,u),x,x \ 1). (x \ 1) * ((y \ 1) \ T(z * (u \ 1),z)) = ((y \ (y * (((z \ 1) * u) / y))) * x) \ 1. ((x \ (x * (((y \ 1) * z) / x))) * u) \ 1 = (u \ 1) * ((x \ 1) \ T(y * (z \ 1),y)). ((x \ (x * (((y \ 1) * z) / x))) * u) \ 1 = (u \ 1) * ((x \ 1) \ ((z \ 1) * y)). ((((x \ 1) * y) / z) * u) \ 1 = (u \ 1) * ((z \ 1) \ ((y \ 1) * x)). (x \ 1) * ((y \ 1) \ ((z \ 1) * u)) = ((((u \ 1) * z) / y) * x) \ 1. x != ((y \ 1) * ((z \ 1) * u)) / ((w \ 1) * v5) | (((v5 \ 1) * w) \ (((u \ 1) * z) * y)) \ 1 = x. (((x \ 1) * (y * z)) \ (((x \ 1) * y) * z)) \ 1 = (((z \ 1) * (y \ 1)) * x) \ ((z \ 1) * ((y \ 1) * x)). (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = (((z \ 1) * (y * x)) \ (((z \ 1) * y) * x)) \ 1. (x * ((x * L(x,y,z)) \ 1)) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). K(x,L(y,z,u)) = (L(y,z,u) \ 1) * L(y * K(x,y),z,u). (L(x,y,z) \ 1) * L(x * K(u,x),y,z) = K(u,L(x,y,z)). (L(x,y,z) \ 1) * L(T(x,u \ x),y,z) = K(u,L(x,y,z)). (L(x,y,z) \ 1) * L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. K(L(x,y,z),u \ x) = K(u,L(x,y,z)). K(x,L(y,z,u)) = K(y * x,L(y,z,u)). K(x * y,L(x,z,u)) = K(y,L(x,z,u)). K(x,L(y \ x,z,u)) = K(y,L(x,z,u)). K(L(x \ 1,y,z),(x / u) \ 1) = K(u \ 1,L(x \ 1,y,z)). K(x,L(y,z,u)) * (y * (x * L(y \ 1,z,u))) = L(y \ 1,z,u) * (y * x). T(x,L(y \ x,z,u)) = x * K(y,L(x,z,u)). T(x,L(y \ x,z,u)) = K(y,L(x,z,u)) * x. x * (K(y,L(x,z,u)) * w) = T(x,L(y \ x,z,u)) * w. T(x,L(y \ x,z,u)) * w = x * (K(y,L(x,z,u)) * w). K(x,L(y,z,u)) * (y * w) = T(y,L(x \ y,z,u)) * w. T(x,L(y \ x,z,u)) * w = K(y,L(x,z,u)) * (x * w). T(x,L(y \ 1,z,u)) = T(x,L(y \ x,z,u)). T(T(x,L(y \ x,z,u)),y) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). (x * K(L(y \ z,u,w),z)) / z = x / (K(y,L(z,u,w)) * z). (x / T(y,L(z \ y,u,w))) \ x = T(y,L(z \ 1,u,w)). T(x,L(y \ x,z,u)) * w != v5 | x * (K(y,L(x,z,u)) * w) = v5. x * (K(y,L(x,z,u)) * w) = K(y,L(x,z,u)) * (x * w). K(x,L(y,z,u)) * (y * w) = y * (K(x,L(y,z,u)) * w). K(x / y,L(x \ 1,z,u)) = K(y \ 1,L(x \ 1,z,u)). K(x \ 1,L(y \ 1,z,u)) = K(y / x,L(y \ 1,z,u)). K(x \ 1,L(y,z,u)) = K(x / y,L(x \ 1,z,u)). K(x / y,L(x \ 1,z,u)) = K(x \ 1,L(y,z,u)). K(x,L(x / y,z,u)) = K(x \ 1,L(y,z,u)). K(x \ 1,L(y,z,u)) = K(x,L(x / y,z,u)). K(x,L(y,z,u)) = K(y,L(y / x,z,u)). K(x,L(x / y,z,u)) = K(y,L(x,z,u)). K(x,L(y,z,u)) = K(y \ x,L(x,z,u)). K(x \ y,L(y,z,u)) = K(y,L(x,z,u)). (x * K(y \ z,L(z,u,w))) / z = x / (K(y,L(z,u,w)) * z). (x * K(y,L(z,u,w))) / y = x / (K(z,L(y,u,w)) * y). (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. (x / y) * K(y,L(z,u,w)) = x / (K(z,L(y,u,w)) * y). x / (K(y,L(z,u,w)) * z) = (x / z) * K(z,L(y,u,w)). x / T(y,L(z \ y,u,w)) = (x / y) * K(y,L(z,u,w)). ((x / y) * K(y,L(z,u,w))) \ x = T(y,L(z \ 1,u,w)). ((x / y) * K(y,z)) \ x != u | T(y,z \ 1) = u. T(x,L(y,z,u) \ 1) = T(x,L(y \ 1,z,u)). T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). T(x * y,L(z,y,x)) != u | T(x * y,z) = u. T(x * y,z \ 1) = T(x * y,L(z,y,x) \ 1). T(x * y,L(z,y,x) \ 1) = T(x * y,z \ 1). T(x * (x \ y),(y \ (x * z)) \ 1) = T(x * (x \ y),((x \ y) \ z) \ 1). T(x * (x \ y),((x \ y) \ z) \ 1) = T(x * (x \ y),(y \ (x * z)) \ 1). L(x,y,z) \ T(z * y,x \ 1) = (z * y) / L(x,y,z). L(x,y,z) \ T(u,x \ 1) != w | T(L(x,y,z) \ u,x \ 1) = w. T(L(x,y,z) \ (z * y),x \ 1) = (z * y) / L(x,y,z). ((x * y) / L(z,y,x)) * z = z * (L(z,y,x) \ (x * y)). x != y * (L(y,z,u) \ (u * z)) | (u * z) * a(u,z,y) = x. (x * y) * a(x,y,z) = ((x * y) / L(z,y,x)) * z. ((x * y) / L(z,y,x)) * z = (x * y) * a(x,y,z). ((x * y) * a(x,y,z)) \ ((x * y) * z) = L(z,y,x). L(x,y,z) = ((z * y) * a(z,y,x)) \ ((z * y) * x). T(x * (x \ y),((x \ y) \ z) \ 1) = T(y,(y \ (x * z)) \ 1). x != T(y,(z \ u) \ 1) | T(y,u \ z) = x. T(x,(y * z) \ x) = T(y * (y \ x),((y \ x) \ z) \ 1). T(x * (x \ y),((x \ y) \ z) \ 1) = T(y,(x * z) \ y). T(x,((y \ x) \ z) \ 1) = T(x,(y * z) \ x). T(x,y \ (z \ x)) = T(x,(z * y) \ x). T(x,(y * z) \ x) = T(x,z \ (y \ x)). T(T(x,y * z),z \ (y \ x)) = x. T(x,(y \ x) \ z) = T(x,y * z). T(x,y \ z) = T(x,(x / y) * z). T(x,(x / y) * z) = T(x,y \ z). T(x,(x / y) * z) != u | T(x,(y \ x) * z) = u. T(x,(y \ x) * z) = T(x,y \ z). K(x,L(y,z,u)) * (y * w) != v5 | y * (K(x,L(y,z,u)) * w) = v5. x * (K(y,L(x,z,u)) * (y * L(x \ 1,z,u))) = L(x \ 1,z,u) * (x * y). T(T(x,y),L(y \ x,z,u)) * (L(x,z,u) \ 1) = L(T(x,y),z,u) \ T(x,y). x * (T(y,L(x,z,u)) * L(x \ 1,z,u)) = L(x \ 1,z,u) * (x * y). L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R(x \ R(x,y,z),(x \ 1) \ 1,u). L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). L((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). L(x \ R(x,y,z),(x \ 1) \ 1,u) = R(x \ R(x,y,z),x,u). L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. L(x \ R(x,y,z),x,u) = R(x \ R(x,y,z),x,u). R(x \ R(x,y,z),x,u) = L(x \ R(x,y,z),x,u). a(x,y,z) = L(x \ R(x,y,z),x,y * z). L(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. x != L(y \ z,y,u) | (u * y) \ (u * z) = x. ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). a(x,y / z,z) = L(x \ R(x,y / z,z),x,y). L(x \ R(x,y / z,z),x,y) = a(x,y / z,z). L(T(x \ R(x,y,z),u),x,y * z) = T(a(x,y,z),u). R(a(x,y,z),u,w) = L(R(x \ R(x,y,z),u,w),x,y * z). L(R(x \ R(x,y,z),u,w),x,y * z) = R(a(x,y,z),u,w). L(a(x,y,z),u,w) = L(L(x \ R(x,y,z),u,w),x,y * z). L(L(x \ R(x,y,z),u,w),x,y * z) = L(a(x,y,z),u,w). a(x,T(y,z),z) = L(x \ R(x,T(y,z),z),x,T(y * z,z)). L(x \ R(x,T(y,z),z),x,T(y * z,z)) = a(x,T(y,z),z). L(x \ R(x,y \ z,y),x,z) = a(x,z / y,y). x != ((y * z) * u) \ ((y * z) * R(u,y,z)) | a(T(u,z \ (y \ 1)),y,z) = x. a(T(x,y \ (z \ 1)),z,y) = a(x,z,y). x != (y * z) \ (y * R(z,u,w)) | y \ ((y / z) * R(z,u,w)) = x. (x * y) \ (((x * y) / z) * R(z,x,y)) = a(z,x,y). a(x,y,z) = (y * z) \ (((y * z) / x) * R(x,y,z)). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. a(x,K(y,T(z,u)),u) = ((u * K(y,z)) * x) \ ((K(y,T(z,u)) * u) * R(x,K(y,T(z,u)),u)). ((x * K(y,z)) * u) \ ((K(y,T(z,x)) * x) * R(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). a(x,y,z) = a(T(x,(y \ 1) \ z),y,z). a(T(x,(y \ 1) \ z),y,z) = a(x,y,z). a(T(x,y * z),y,z) = a(x,y,z). a((x * y) \ (z \ (x * y)),x,y) = a(L(z \ 1,z,x * y),x,y). a(L(x \ 1,x,y * z),y,z) = a((y * z) \ (x \ (y * z)),y,z). K(x,y) * a(K(x,y),z,u) != w | R(K(x,y),z,u) = w. K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). (x * y) \ (R(z,x,y) * T(x * y,z)) = R(z,x,y). x != y * R(y \ z,u,w) | R(z / y,u,w) * y = x. R(x / (y * z),y,z) * (y * z) = ((y * z) * ((y * z) \ x)) * a((y * z) \ x,y,z). ((x * y) * ((x * y) \ z)) * a((x * y) \ z,x,y) = R(z / (x * y),x,y) * (x * y). x != (y * z) * R((y * z) \ (y * u),w,v5) | y * (z * R(z \ u,w,v5)) = x. x * (y * R(y \ z,x,y)) = ((x * y) * ((x * y) \ (x * z))) * a((x * y) \ (x * z),x,y). ((x * y) * ((x * y) \ (x * z))) * a((x * y) \ (x * z),x,y) = x * (y * R(y \ z,x,y)). K(x,y) * K(y,R(x,z,u)) != w | K(y * x,y * R(x,z,u)) = w. K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). (x * y) \ T(R(z,x,y) * (x * y),z) = R(z,x,y). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). (x * y) \ T((z * x) * y,z) = R(z,x,y). R(x,y,z) = (y * z) \ T((x * y) * z,x). L(R(x,y,z),y * z,x) = (x * (y * z)) \ (((x * y) * z) * x). (x * (y * z)) \ (((x * y) * z) * x) = L(R(x,y,z),y * z,x). 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(x,y),z * y,u). K(x,x * y) != z | K(x,y) = z. K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). L(x \ R(x,y,z),x,y * z) = R(a(x,y,z),u,x). R(a(x,y,z),u,x) = L(x \ R(x,y,z),x,y * z). L(L(x \ R(x,y,z),x,u),x,y * z) = R(a(x,y,z),x,u). x != L(y \ R(y,z,u),y,z * u) | a(y,z,u) = x. a(x,y,z) = R(a(x,y,z),u,x). R(a(x,y,z),u,x) = a(x,y,z). a(x,y,z) * (u * x) = (a(x,y,z) * u) * x. (a(x,y,z) * u) * x = a(x,y,z) * (u * x). (x * a(y,z,u)) * y = a(y,z,u) * (T(x,a(y,z,u)) * y). a(x,y,z) * (T(u,a(x,y,z)) * x) = (u * a(x,y,z)) * x. L(x,y,a(x,z,u)) = x. (a(x,y,z) * (u * x)) * w != (a(x,y,z) * u) * x | 1 = w. 1 = a(a(x,y,z),u,x). a(a(x,y,z),u,x) = 1. R(x,y,z) = L(R(x,y,z),u,a(x,w,v5)). L(R(x,y,z),u,a(x,w,v5)) = R(x,y,z). a(a(x,y,z),u,R(x,w,v5)) = 1. L(x \ R(x,y,z),x,y * z) = L(a(x,y,z),u,x). L(a(x,y,z),u,x) = L(x \ R(x,y,z),x,y * z). a(x,y,z) = L(a(x,y,z),u,x). L(a(x,y,z),u,x) = a(x,y,z). L(a(x,y,z),u,x) != w | a(x,y,z) = w. L(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,L(u,w,v5))) = v6. a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). a(x,y,a(x,z,u)) = 1. (x * y) * a(x,z,u) = x * (y * a(x,z,u)). (x * y) * a(x,z,u) != w | x * (y * a(x,z,u)) = w. x * a(x,y,z) = x / (a(x,y,z) \ 1). x / (a(x,y,z) \ 1) = x * a(x,y,z). x != 1 | y \ y = x. x \ x = a(y,z,a(y,u,w)). a(x,y,a(x,z,u)) = w \ w. x \ (a(x,y,z) \ 1) = (x * a(x,y,z)) \ 1. (x * a(x,y,z)) \ 1 = x \ (a(x,y,z) \ 1). x \ (a(x,y,z) \ 1) = (a(x,y,z) * x) \ 1. (a(x,y,z) * x) \ 1 = x \ (a(x,y,z) \ 1). x / (a(x,y,z) \ 1) != u | (a(x,y,z) \ 1) \ x = u. (a(x,y,z) \ 1) \ x = x * a(x,y,z). x / (x * a(x,y,z)) = a(x,y,z) \ 1. (x * a(x,y,z)) \ 1 = (x \ 1) / a(x,y,z). (x \ 1) / a(x,y,z) = (x * a(x,y,z)) \ 1. x / (x * a(x,y,z)) != u | x \ (a(x,y,z) \ x) = u. x \ (a(x,y,z) \ x) = a(x,y,z) \ 1. x * (a(x,y,z) \ 1) = a(x,y,z) \ x. x * y != a(x,z,x \ (z \ x)) \ x | z * (x \ (x / z)) = y. x * (y \ (y / x)) = a(y,x,y \ (x \ y)) \ 1. a(x,y,x \ (y \ x)) \ 1 = y * (x \ (x / y)). x \ (a(x,y,z) \ x) != u | a(x,y,z) \ 1 = u. a(x,y,z) \ R(a(x,y,z) * (a(x,y,z) \ x),u,w) = R(x,u,w) * (a(x,y,z) \ 1). x * a(y,x,x \ 1) = a(x,x \ 1,y) \ x. a(x,x \ 1,y) \ x = x * a(y,x,x \ 1). (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. (x * y) * z = x * ((y * z) * a(x,y,z)). x * ((y * z) * a(x,y,z)) = (x * y) * z. L(x,y,z) = (z * (y * a(z,y,x))) \ ((z * y) * x). x \ ((x * y) * z) = (y * z) * a(x,y,z). (x * y) * z != ((x * y) * u) * a(u,x,y) | R(u,x,y) = z. R(x,y,z) = (x * a(x,y,z)) * a(y * z,x,a(x,y,z)). x * y != (x * z) * L(u,z,x) | z * u = y. x * y = (x * L(y,x,z)) * a(z,x,L(y,x,z)). (x * L(y,x,z)) * a(z,x,L(y,x,z)) = x * y. (x \ ((x * y) * z)) / a(x,y,z) = y * z. (x * y) \ (z \ ((z * x) * y)) = a(z,x,y). a(x,y,z) = (y * z) \ (x \ ((x * y) * z)). x \ (y * z) = ((x \ y) * z) * a(x,x \ y,z). ((x \ y) * z) * a(x,x \ y,z) = x \ (y * z). (x * y) \ (z \ ((z * x) * y)) != u | a(z,x,y) = u. R(x,y,z) \ ((x \ R(x,y,z)) * u) = ((x \ 1) * u) * a(R(x,y,z),x \ 1,u). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(L(x,y,z) \ 1,x,u). x \ ((K(y,z) * x) * u) = (K(y,T(z,x)) * u) * a(x,K(y,T(z,x)),u). (K(x,T(y,z)) * u) * a(z,K(x,T(y,z)),u) = z \ ((K(x,y) * z) * u). K(x,y) * (z \ ((z * y) * x)) = (x * y) * a(z,y,x). x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,K(y,z),T(z,y) * u). (x * y) \ (z \ ((z * y) * x)) = K(y,x) * a(z,y,x). K(x,(y * x) * a(z,y,x)) = K(x,z \ (z * y)). K(x,y \ (y * z)) = K(x,(z * x) * a(y,z,x)). (x * y) / a(z,x,L(y,x,z)) = x * L(y,x,z). L(a(x,y,z),a(x,y,z) \ 1,(x \ ((x * y) * z)) \ 1) = ((x \ ((x * y) * z)) \ (y * z)) \ 1. x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ x). (x * y) \ z != a(u,x,y) | ((x * y) / u) * R(u,x,y) = z. ((x * y) / z) * R(z,x,y) = z \ ((z * x) * y). a(x,x \ y,z) = ((x \ y) * z) \ (x \ (y * z)). ((x \ y) * z) \ (x \ (y * z)) = a(x,x \ y,z). a(x,y,(x * y) \ z) = (y * ((x * y) \ z)) \ (x \ z). (x * ((y * x) \ z)) \ (y \ z) = a(y,x,(y * x) \ z). a(x / y,y,z) = (y * z) \ ((x / y) \ (x * z)). (x * y) \ ((z / x) \ (z * y)) = a(z / x,x,y). a(x,T(y,x),z) = (T(y,x) * z) \ (x \ ((y * x) * z)). (T(x,y) * z) \ (y \ ((x * y) * z)) = a(y,T(x,y),z). a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z). a(x \ y,x,z) = (x * z) \ ((x \ y) \ (T(y,x) * z)). (x * y) \ ((x \ z) \ (T(z,x) * y)) = a(x \ z,x,y). a(T(x,y),y,z) = (y * z) \ (T(x,y) \ (T(x * y,y) * z)). (x * y) \ (T(z,x) \ (T(z * x,x) * y)) = a(T(z,x),x,y). T(a(x,y,z),x \ ((x * y) * z)) = T(y * z,x \ ((x * y) * z)) \ (x \ ((x * y) * z)). T(x * y,z \ ((z * x) * y)) \ (z \ ((z * x) * y)) = T(a(z,x,y),z \ ((z * x) * y)). a(x,y,z) * (y * z) != u | T(x \ ((x * y) * z),y * z) = u. (x * y) * T(a(z,x,y),z \ ((z * x) * y)) = T(z \ ((z * x) * y),x * y). a(x * y,x \ z,y) = ((x \ z) * y) \ ((x * y) \ ((x * y) * (x \ (z * y)))). ((x \ y) * z) \ ((x * z) \ ((x * z) * (x \ (y * z)))) = a(x * z,x \ y,z). a(x,y,L(z \ 1,z,y)) = (y / z) \ (x \ ((x * y) * L(z \ 1,z,y))). (x / y) \ (z \ ((z * x) * L(y \ 1,y,x))) = a(z,x,L(y \ 1,y,x)). (L(x,y,z) * a(x,L(x,y,z),u)) \ 1 = L(x,y,z) \ (a(L(x,y,z),x,u) \ 1). x * (a(x \ 1,y,z) \ 1) = (x \ 1) \ (a(x \ 1,y,z) \ 1). (x \ 1) \ (a(x \ 1,y,z) \ 1) = x * (a(x \ 1,y,z) \ 1). x != (y * a(y,z,u)) \ 1 | y \ (a(y,z,u) \ 1) = x. x \ (a(x,y,z) \ 1) = (x \ 1) / a(x,y,z). (x \ 1) / a(x,y,z) = x \ (a(x,y,z) \ 1). x / a(x \ 1,y,z) = (x \ 1) \ (a(x \ 1,y,z) \ 1). (x \ 1) \ (a(x \ 1,y,z) \ 1) = x / a(x \ 1,y,z). x * (y \ (y / x)) != z \ 1 | a(y,x,y \ (x \ y)) = z. x \ 1 != y * (z \ (z / y)) | a(z,y,z \ (y \ z)) = x. x * y != (x * z) * a(x,u,w) | z * a(x,u,w) = y. L(x,y,y) * a(y,y,L(x,y,y)) = x. T(x * L(y,x,z),a(z,x,L(y,x,z))) = a(z,x,L(y,x,z)) \ (x * y). K(L(x,y,z),y) * (y * x) = (L(x,y,z) * y) * a(z,y,L(x,y,z)). (L(x,y,z) * y) * a(z,y,L(x,y,z)) = K(L(x,y,z),y) * (y * x). x != T(y,z) \ (K(y,z) * u) | y \ u = x. x \ y = ((T(x,z) \ K(x,z)) * y) * a(T(x,z),T(x,z) \ K(x,z),y). ((T(x,y) \ K(x,y)) * z) * a(T(x,y),T(x,y) \ K(x,y),z) = x \ z. ((x \ y) * z) \ (x \ (y * z)) != u | a(x,x \ y,z) = u. K(x,y \ z) * (y \ (z * x)) = (x * (y \ z)) * a(y,y \ z,x). (x * (y \ z)) * a(y,y \ z,x) = K(x,y \ z) * (y \ (z * x)). ((x * L(x \ 1,y,z)) * (x \ u)) * a(x,x \ u,T(x * L(x \ 1,y,z),u)) = x \ (u * T(x * L(x \ 1,y,z),u)). x != K(y,(z * y) * u) | K(y,z * u) = x. K(x,y * a(z,y,x)) = K(x,z \ (z * y)). K(x,y \ (y * z)) = K(x,z * a(y,z,x)). K(x,y) = K(x,y * a(z,y,x)). K(x,y * a(z,y,x)) = K(x,y). (T(x,y) \ z) / a(u,K(y,x),L(x \ z,K(y,x),u)) = K(y,x) * L(x \ z,K(y,x),u). ((x * y) * z) * R(L(z \ 1,z,x * y),x,y) = L(z \ 1,z,x * y) \ ((L(z \ 1,z,x * y) * x) * y). L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = ((y * z) * x) * R(L(x \ 1,x,y * z),y,z). ((x / y) / z) * R(z,x,L(y \ 1,y,x)) = z \ ((z * x) * L(y \ 1,y,x)). x \ (x \ (y * ((y \ x) * x))) = a(x,x \ y,(y \ x) * x). T(x,y) \ (x \ ((x / y) * (x * y))) = a(x,x \ (x / y),x * y). x != (y * L(z,y,u)) \ (y * z) | y \ (z * (L(z,y,u) \ y)) = x. x \ (y * (L(y,x,z) \ x)) = a(z,x,L(y,x,z)). a(x,y,L(z,y,x)) = y \ (z * (L(z,y,x) \ y)). T(x,a(y,z,L(u,z,y)) \ 1) != w | T(x,(z * u) \ (z * L(u,z,y))) = w. T(x / (y * (L(y,x,z) \ x)),u) \ x = x * T(a(z,x,L(y,x,z)),u). a(x,y,L(y \ L(y,z,u),y,x)) = y \ ((y \ L(y,z,u)) * ((x \ ((x / y) * L(y,z,u))) \ y)). x \ ((x \ L(x,y,z)) * ((u \ ((u / x) * L(x,y,z))) \ x)) = a(u,x,L(x \ L(x,y,z),x,u)). L(x,y,T(z,y)) != u | L(x,y,z) = u. L(x,y,z) = (T(z,y) * (y * a(T(z,y),y,x))) \ ((T(z,y) * y) * x). x \ (y \ ((y * z) * (z \ x))) != u | a(y,z,z \ x) = u. (x \ L(x,y,z)) \ (u \ ((u * (x \ 1)) * L(x,y,z))) != w | a(u,x \ 1,L(x,y,z)) = w. ((x * y) * a(z,y,x)) \ (x * y) = (z \ ((z * y) * x)) \ (y * x). (x \ ((x * y) * z)) \ (y * z) = ((z * y) * a(x,y,z)) \ (z * y). (x * ((y * x) \ z)) \ (y \ z) != u | x \ (L((y \ z) / x,x,y) \ (y \ z)) = u. x \ (L((y \ z) / x,x,y) \ (y \ z)) = a(y,x,(y * x) \ z). (x * y) \ ((z / x) \ (z * y)) = a(x \ z,x,y). (x * y) \ ((z / x) \ (z * y)) != u | a(z / x,x,y) = u. a(x / y,y,z) = a(y \ x,y,z). x \ ((y / z) \ (y * (z \ x))) = a(z \ y,z,z \ x). a(x \ y,x,x \ z) = z \ ((y / x) \ (y * (x \ z))). a(x,y,x * y) != z | a((x * y) \ 1,y \ 1,x \ 1) = z. a(((x / y) * y) \ 1,y \ 1,(x / y) \ 1) = a(y \ x,y,(x / y) * y). a(x,y,y \ z) != u | (x * z) \ ((x * y) * (y \ z)) = u. ((x / y) * z) \ (((x / y) * y) * (y \ z)) = a(y \ x,y,y \ z). (x * a(x,y,z)) \ R(x,y,z) = a(y * z,x,a(x,y,z)). (a(x \ 1,y,z) / x) \ 1 = x / a(x \ 1,y,z). x != y / a(y \ 1,z,u) | a(y \ 1,z,u) \ y = x. a(x \ 1,y,z) \ x = (a(x \ 1,y,z) / x) \ 1. (a(x \ 1,y,z) / x) \ 1 = a(x \ 1,y,z) \ x. ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) != w | a(x,x \ L(x,y,z),u) = w. (x * a(x,y,z)) * a(y * z,x,a(x,y,z)) != u | R(x,y,z) = u. T(a(x * y,z,a(z,x,y)),u) \ R(z,x,y) = T(R(z,x,y) \ (z * a(z,x,y)),u) * R(z,x,y). T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = T(a(y * z,x,a(x,y,z)),u) \ R(x,y,z). L(x \ R(x,y,z),x,T(y * z,z)) = a(x,T(y,z),z). L(L(x \ R(x,y,z),u,w),x,y * z) != v5 | L(a(x,y,z),u,w) = v5. L(a(x,y,z),x,u) = R(a(x,y,z),x,u). R(a(x,y,z),x,u) = L(a(x,y,z),x,u). L(a(x,y,z),x,u) \ (u * (x * a(x,y,z))) = x * T(u,x * a(x,y,z)). (x * y) \ (z \ ((z * x) * y)) = a(T(z,x),x,y). a(x,y,z) = a(T(x,y),y,z). a(T(x,y),y,z) = a(x,y,z). a(x,y,z) = a(y * (x / y),y,z). a(x * (y / x),x,z) = a(y,x,z). a(x \ y,y,z) = a(y / x,y,z). a(x / y,x,z) = a(y \ x,x,z). a(x,T(y,x),z) = a(x,y,z). a(x,T(y,x),z) != u | (T(y,x) * z) \ (x \ ((y * x) * z)) = u. (T(x,y) * z) \ (y \ ((x * y) * z)) = a(y,x,z). a(x,y,z) = (T(y,x) * z) \ (x \ ((y * x) * z)). a(x,x \ y,z) = a(x,y / x,z). a(x,y / x,z) = a(x,x \ y,z). a(x,y \ x,z) = a(x,x / y,z). a(x,x / y,z) = a(x,y \ x,z). a(x,x \ (y \ x),z) = a(x,x \ (x / y),z). a(x,x \ (x / y),z) = a(x,x \ (y \ x),z). a(x * y,x \ (y \ x),z) = a(x * y,x \ (x / y),z). a(x * y,x \ (x / y),z) = a(x * y,x \ (y \ x),z). x != a(y,z,y * z) | a((y * z) \ 1,z \ 1,y \ 1) = x. a((x * (x \ y)) \ 1,(x \ y) \ 1,x \ 1) = a(x,y / x,x * (x \ y)). a(x,y / z,z) != u | L(x \ R(x,z \ y,z),x,y) = u. L(x \ R(x,y \ x,y),x,x) = a(x,y \ x,y). (T(x,y) * z) * a(y,x,z) = y \ ((x * y) * z). L(x \ R(x,y,z),u,x) != w | x \ R(x,y,z) = w. x \ R(x,y \ x,y) = a(x,y \ x,y). (T(K(x,y),T(x,y) \ z) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). (T(K(x,y),x / z) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). x \ L(x,y \ x,y) = a(x,x \ y,(y \ x) * x). a(x,x \ y,(y \ x) * x) = x \ L(x,y \ x,y). (x * (y * z)) \ (((x * y) * z) * x) != u | R(x,y,z) = u. (a(x \ 1,y,z) / x) \ 1 = x * (a(x \ 1,y,z) \ 1). (a(x \ 1,y,z) / x) \ 1 != u | a(x \ 1,y,z) \ x = u. a(x \ 1,y,z) \ x = x * (a(x \ 1,y,z) \ 1). x * (a(x \ 1,y,z) \ 1) = a(x \ 1,y,z) \ x. x \ ((y \ z) / ((y * x) \ z)) = a(y,x,(y * x) \ z). x \ ((y \ ((y * x) * z)) / z) = a(y,x,(y * x) \ ((y * x) * z)). a(x,y,(x * y) \ ((x * y) * z)) = y \ ((x \ ((x * y) * z)) / z). a(x,y,z) != u | (y * z) \ (x \ ((x * y) * z)) = u. (x * y) \ (L(z \ 1,z,x * y) \ ((L(z \ 1,z,x * y) * x) * y)) = a((x * y) \ (z \ (x * y)),x,y). x != K(y,z \ u) * (z \ (u * y)) | T(z \ (u * y),z \ u) = x. T(x \ (y * z),x \ y) = (z * (x \ y)) * a(x,x \ y,z). (x * (y \ z)) * a(y,y \ z,x) = T(y \ (z * x),y \ z). T(x,y) \ (x \ ((y \ x) * (y * x))) = a(x,x \ (x / y),x * y). x != (y * z) \ y | y \ (y / z) = x. (x * y) \ ((x * y) / a(z,y,x)) = (z \ ((z * y) * x)) \ (y * x). (x \ ((x * y) * z)) \ (y * z) = (z * y) \ ((z * y) / a(x,y,z)). ((x / y) * z) \ (x * (y \ z)) = a(y \ x,y,y \ z). a(x \ y,x,x \ z) = ((y / x) * z) \ (y * (x \ z)). a(x,y,z) = y \ ((x \ ((x * y) * z)) / z). x * a(y,x,z) = (y \ ((y * x) * z)) / z. (x \ ((x * y) * z)) / z = y * a(x,y,z). a(x,x \ y,z) = (x \ y) \ ((x \ (y * z)) / z). (x \ y) \ ((x \ (y * z)) / z) = a(x,x \ y,z). ((x * y) \ ((x * y) * R(z,x,y))) / a(z,x,y) = z * a(x * y,z,a(z,x,y)). (x \ L(x,y,z)) \ ((L(x,y,z) * (x \ u)) / u) = a(x,x \ L(x,y,z),u). x \ (T(x,y) \ ((y \ x) * (y * x))) = a(x,x \ (x / y),x * y). x \ (x \ ((x / y) * (y * x))) = a(x,x \ (x / y),x * y). x \ L(x,y,y \ x) = a(x,x \ (x / y),x * y). a(x,x \ (x / y),x * y) = x \ L(x,y,y \ x). a(x,x \ (x / y),z) != u | a(x,x \ (y \ x),z) = u. a(x,x \ (y \ x),x * y) = x \ L(x,y,y \ x). (L(x,y,z) * y) * a(z,y,L(x,y,z)) = K(x,y) * (y * x). (L(x,y,z) * y) * a(z,y,L(x,y,z)) != u | x * y = u. L(x,y,z) = (T(z,y) * (y * a(z,y,x))) \ ((T(z,y) * y) * x). L(x,y,z) = (T(z,y) * (y * a(z,y,x))) \ (T(z * y,y) * x). ((x \ 1) * y) * a(T(x,z),T(x,z) \ K(x,z),y) = x \ y. ((x \ 1) * y) * a(T(x,z),x \ 1,y) = x \ y. ((x \ y) \ 1) * ((x \ 1) * y) = ((x \ 1) * y) * ((a(T(x,z),x \ 1,y) * ((x \ 1) * y)) \ 1). ((x \ 1) * y) * ((a(T(x,z),x \ 1,y) * ((x \ 1) * y)) \ 1) = ((x \ y) \ 1) * ((x \ 1) * y). a(x \ 1,y \ 1,(x / y) \ 1) = a(y \ x,y,(x / y) * y). T(x * y,a(y,z,u)) = y * T(x,y * a(y,z,u)). x * T(y,x * a(x,z,u)) = T(y * x,a(x,z,u)). a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x / y,y * (y \ x)). a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x / y,x). x != a(y,z / y,u) | a(y,y \ z,u) = x. a(x,x \ y,y) = a(y \ 1,(x \ y) \ 1,x \ 1). a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,y \ x,x). T(x \ ((x * y) * z),y * z) != (y * z) * u | T(a(x,y,z),x \ ((x * y) * z)) = u. ((x \ y) * z) \ (x \ (y * z)) = a(x * z,x \ y,z). a(x,x \ y,z) = a(x * z,x \ y,z). a(x * y,x \ z,y) = a(x,x \ z,y). a(x * y,z,y) = a(x,x \ (x * z),y). a(x * y,z,y) = a(x,z,y). a(x,y,z) = a(x / z,y,z). a(x / y,z,y) = a(x,z,y). a(T(x,y),z,y) = a(y \ x,z,y). a(x * y,z,a(x,u,y)) = 1. a(x / y,y,z) != u | a(y \ x,y,z) = u. a(x \ y,x,x) = a(y,x,x). a(x * y,z,a(x,y,L(y,u,w))) = 1. (x \ ((x * y) * L(z \ 1,z,y))) * x = (((y / z) / x) * x) * R(x,y,L(z \ 1,z,y)). (((x / y) / z) * z) * R(z,x,L(y \ 1,y,x)) = (z \ ((z * x) * L(y \ 1,y,x))) * z. R(x,y,z) \ ((x \ R(x,y,z)) * u) = ((x \ 1) * u) * a(x \ 1,R(x,y,z),u). (L(x,y,z) * a(x,L(x,y,z),u)) \ 1 = L(x,y,z) \ (a(x,L(x,y,z),u) \ 1). R(x,y,z) / a(x,y,z) = x * a(y * z,x,a(x,y,z)). x * a(y * z,x,a(x,y,z)) = R(x,y,z) / a(x,y,z). x != R(y,z,u) / a(y,w,v5) | a(y,w,v5) \ R(y,z,u) = x. a(x,y,z) \ R(x,y,z) = x * a(y * z,x,a(x,y,z)). x * a(y * z,x,a(x,y,z)) = a(x,y,z) \ R(x,y,z). x / (a(x,y,z) \ R(x,y,z)) = x \ (a(y * z,x,a(x,y,z)) \ x). x \ (a(y * z,x,a(x,y,z)) \ x) = x / (a(x,y,z) \ R(x,y,z)). x != (y * z) * a(y,u,w) | y * (z * a(y,u,w)) = x. (x \ 1) * (y * a(x \ 1,R(x,z,u),y)) = R(x,z,u) \ ((x \ R(x,z,u)) * y). R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * (u * a(x \ 1,R(x,y,z),u)). (K(x,T(y,x / z)) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). (K(x,T(y,z)) * u) * a(x / z,K(x,y),u) = (x / z) \ ((T(x,y) / z) * u). ((x / (y * z)) * y) * z = ((y * z) * ((y * z) \ x)) * a((y * z) \ x,y,z). ((x * y) * ((x * y) \ z)) * a((x * y) \ z,x,y) = ((z / (x * y)) * x) * y. a(x,y,z) \ R(x,u,w) = R(x,u,w) * (a(x,y,z) \ 1). R(x,y,z) * (a(x,u,w) \ 1) = a(x,u,w) \ R(x,y,z). (a(x,y,z) \ R(x,u,w)) \ 1 != v5 | a(x,y,z) * (R(x,u,w) \ 1) = v5. T(a(x,y,z),x \ ((x * y) * z)) != u \ (x \ ((x * y) * z)) | T(y * z,x \ ((x * y) * z)) = u. x != (y \ z) * y | T(z,y) = x. T((x * y) * L(z \ 1,z,y),x) = (((y / z) / x) * x) * R(x,y,L(z \ 1,z,y)). (((x / y) / z) * z) * R(z,x,L(y \ 1,y,x)) = T((z * x) * L(y \ 1,y,x),z). (x / y) * R(z,x,L(y \ 1,y,x)) = T((z * x) * L(y \ 1,y,x),z). T((x * y) * L(z \ 1,z,y),x) = (y / z) * R(x,y,L(z \ 1,z,y)). T((x * y) * (z \ y),x) = (y / (y \ z)) * R(x,y,L((y \ z) \ 1,y \ z,y)). ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z) = (x / y) \ (((x / y) / z) * R(z,x,L(y \ 1,y,x))). (x / y) \ (((x / y) / z) * R(z,x,L(y \ 1,y,x))) = ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z). T((x * y) * T(z,y),x) = (y / (y \ (z \ y))) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). ((x * K(y,z)) * u) \ ((x * K(y,z)) * R(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). ((x * y) * ((x * y) \ z)) * a((x * y) \ z,x,y) != u | ((z / (x * y)) * x) * y = u. (((x * y) / (x * z)) * x) * z = x * (z * R(z \ y,x,z)). (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). ((x * K(y,x)) * x) * y = x * (y * R(y \ (y * x),x,y)). x * (y * R(y \ (y * x),x,y)) = ((x * K(y,x)) * x) * y. (x * (y * R(z,x,y))) \ ((x * (y * z)) * y) = L(y,x,(x * y) \ (x * (y * z))). x * (y * R(y \ (y * x),x,y)) = (x * T(x,y \ x)) * y. x != (y * T(z,u \ z)) * u | (y * z) * T(u,z) = x. (x * x) * T(y,x) = x * (y * R(y \ (y * x),x,y)). x * (y * R(y \ (y * x),x,y)) = (x * x) * T(y,x). x * (y * R(x,x,y)) = (x * x) * T(y,x). x * y != (x * z) * u | (z * u) * a(x,z,u) = y. (x * T(y,x)) * a(x,x,T(y,x)) = y * R(x,x,y). (x * y) * a(y,y,T(x,y)) = x * R(y,y,x). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). (x * (y * R(z,x,y))) \ ((x * (y * z)) * y) = L(y,x,L(z,y,x)). (x * y) \ z != u | (y * x) \ (K(y,x) * z) = u. ((x * R(y,z,x)) * z) \ (K(x * R(y,z,x),z) * ((z * (x * y)) * x)) = L(x,z,L(y,x,z)). ((x * R(y,z,x)) * z) \ (K(x * y,z) * ((z * (x * y)) * x)) = L(x,z,L(y,x,z)). ((x * R(y,z,x)) * z) \ (((x * y) * z) * x) = L(x,z,L(y,x,z)). x != L(y,z,L(u,w,u)) | L(y,z,u) = x. L(x,y,y) = ((x * R(y,y,x)) * y) \ (((x * y) * y) * x). ((x * R(y,y,x)) * y) \ (((x * y) * y) * x) = L(x,y,y). ((x * y) * R(y,y,x)) \ (((x * y) * y) * x) = L(x,y,y). x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)) = a(u,x,L(x \ L(x,y,z),x,u)). a(x,y,L(y \ L(y,z,u),y,x)) = y \ (L(y \ L(y,z,u),y,x) \ L(y,z,u)). x * T(a(y,x,L(x \ L(x,z,u),x,y)),w) != v5 | (L(x \ L(x,z,u),x,y) \ L(x,z,u)) * K(w,(L(x \ L(x,z,u),x,y) \ L(x,z,u)) \ x) = v5. a(x,y,K(L(y \ L(y,z,u),y,x),w)) = K(y \ (L(y \ L(y,z,u),y,x) \ L(y,z,u)),w). K(x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)),w) = a(u,x,K(L(x \ L(x,y,z),x,u),w)). R(x \ (L(x \ L(x,y,z),x,u) \ L(x,y,z)),w,u) = a(u,x,L(x \ L(x,y,z),x,u)). K(x,(L(y \ L(y,z,u),y,w) \ L(y,z,u)) \ y) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). (K(x,T(y,T(x,y) \ z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). x != ((y \ z) \ 1) * ((y \ 1) * z) | a(z,y,y \ 1) = x. a(x,y,y \ 1) = ((y \ 1) * x) * ((a(T(y,z),y \ 1,x) * ((y \ 1) * x)) \ 1). ((x \ 1) * y) * ((a(T(x,z),x \ 1,y) * ((x \ 1) * y)) \ 1) = a(y,x,x \ 1). ((x \ 1) * y) * ((a(x,x \ 1,y) * ((x \ 1) * y)) \ 1) = a(y,x,x \ 1). (K(x,T(y,x \ z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). (K(x,T(y,z)) * u) * a(T(x,y) \ z,K(x,y),u) = (T(x,y) \ z) \ ((x \ z) * u). T((x * y) * T(z,y),x) = (y * ((z \ y) \ y)) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). T((x * y) * T(z,y),x) = (y * T(z,y)) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). (x * y) * R(z,y,L((y \ (x \ y)) \ 1,y \ (x \ y),y)) = T((z * y) * T(x,y),z). T((x * y) * T(z,y),x) = (z * y) * R(x,y,L((y \ (z \ y)) \ 1,y \ (z \ y),y)). T((x * y) * T(z,y),x) = (z * y) * R(x,y,(z \ y) \ y). T((x * y) * T(z,y),x) = (z * y) * R(x,y,T(z,y)). T((x * y) * T(z,y),x) = (z * y) * R(x,y,z). T((x * a(y,z,z)) * T(u,x),a(y,z,z)) = (u * x) * R(a(y,z,z),x,u). (x * a(y,z,z)) * T(u,x) = (u * x) * R(a(y,z,z),x,u). (x * y) * R(a(z,u,u),y,x) = (y * a(z,u,u)) * T(x,y). (((x \ 1) * (y \ 1)) * z) \ ((x \ 1) * ((y \ 1) * z)) = a(z \ 1,y,x) \ 1. (((x * y) \ 1) * z) \ ((y \ 1) * ((x \ 1) * z)) = a(z \ 1,x,y) \ 1. (L(x,y,z) \ 1) \ ((x \ 1) * ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). (L(x,y,z) \ 1) \ ((x \ 1) * u) != w | (x \ 1) * ((L(x,y,z) \ 1) \ u) = w. (x \ 1) * ((L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u)) = L(u,x * (L(x,y,z) \ 1),x \ 1). (x \ 1) * ((L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u)) = L(u,L(x,y,z) \ x,x \ 1). L(x \ ((x / y) * L((x / y) \ x,z,u)),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). L(x \ ((x / y) * L(y,z,u)),w,y) = L(y \ 1,y,x) * L(L(y,y \ 1,x \ 1),z,u). L(x \ ((x / y) * L(y,z,u)),w,y) != v5 | L(y \ L(y,z,u),y,x) = v5. L(x \ L(x,y,z),x,u) = L(x \ 1,x,u) * L(L(x,x \ 1,u \ 1),y,z). L(x \ 1,x,y) * L(L(x,x \ 1,y \ 1),z,u) = L(x \ L(x,z,u),x,y). L(x \ 1,x,y) * L(L(x,x \ 1,y \ 1),z,u) != w | L((x \ 1) * L((x \ 1) \ 1,z,u),x,T(y,v5)) = w. L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). (x / y) \ (z \ ((z * x) * L(y \ 1,y,x))) = ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z). ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z) = (x / y) \ (z \ ((z * x) * L(y \ 1,y,x))). x != (y / z) \ (u \ ((u * y) * L(z \ 1,z,y))) | a(u,y,L(z \ 1,z,y)) = x. a(x,y,L(z \ 1,z,y)) = ((y / z) * x) \ T((x * y) * L(z \ 1,z,y),x). ((x / y) * z) \ T((z * x) * L(y \ 1,y,x),z) = a(z,x,L(y \ 1,y,x)). ((x / (x \ (x / y))) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). ((L(x,y,z) \ 1) * (x * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). (x * ((L(x,y,z) \ 1) * u)) \ (((x \ L(x,y,z)) \ 1) * u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). a(x,L(x,y,z) \ 1,u) = a(L(x,y,z) \ 1,(x \ 1) \ 1,u). a(L(x,y,z) \ 1,(x \ 1) \ 1,u) = a(x,L(x,y,z) \ 1,u). a(L(x,y,z) \ 1,x,u) = a(x,L(x,y,z) \ 1,u). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(x,L(x,y,z) \ 1,u). (L(x,y,z) * ((x \ 1) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). ((x \ 1) * (L(x,y,z) * u)) \ (((L(x,y,z) \ x) \ 1) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). ((x \ 1) * (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). a(x \ 1,L(x,y,z),u) = a((L(x,y,z) \ 1) \ 1,x \ 1,u). a((L(x,y,z) \ 1) \ 1,x \ 1,u) = a(x \ 1,L(x,y,z),u). a(L(x,y,z),x \ 1,u) = a(x \ 1,L(x,y,z),u). (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = ((x \ (x / y)) * y) \ 1. (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = (y * (x \ (x / y))) \ 1. x != (y * (z \ (z / y))) \ 1 | y \ ((z \ (z / y)) \ 1) = x. x \ ((y \ (y / x)) \ 1) = (y \ (y / x)) \ (((y * x) \ ((y * x) / (y \ (y / x)))) \ 1). (x \ (x / y)) \ (((x * y) \ ((x * y) / (x \ (x / y)))) \ 1) = y \ ((x \ (x / y)) \ 1). (x \ (x / y)) \ (((x * y) \ ((x * y) * y)) \ 1) = y \ ((x \ (x / y)) \ 1). (x \ (x / y)) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). L(R(x \ 1,y \ 1,z \ 1),u,w) \ L(x \ 1,u,w) = L(x \ 1,u,w) * L(R(x,u \ 1,w \ 1),y,z). x != (y * z) * R(L(u,z,y),w,v5) | y * (z * R(u,w,v5)) = x. (x * y) * (z * R(z \ 1,x,y)) = L(z \ 1,z,x * y) \ ((L(z \ 1,z,x * y) * x) * y). L(x \ 1,x,y * z) \ ((L(x \ 1,x,y * z) * y) * z) = (y * z) * (x * R(x \ 1,y,z)). (x * y) \ ((x * y) * (z * R(z \ 1,x,y))) = a((x * y) \ (z \ (x * y)),x,y). x * R(x \ 1,y,z) = a((y * z) \ (x \ (y * z)),y,z). a((x * y) \ (z \ (x * y)),x,y) = z * R(z \ 1,x,y). x != L(y,z,u) * R(L(y,z,u) \ 1,w,v5) | L(y * R(y \ 1,w,v5),z,u) = x. L(x * R(x \ 1,y,z),u,w) = a((y * z) \ (L(x,u,w) \ (y * z)),y,z). a((x * y) \ ((z * (u * ((z * u) \ 1))) \ (x * y)),x,y) = (z * (u * ((z * u) \ 1))) * R(a(z,u,(z * u) \ 1),x,y). L(R(a(x,y,y) \ 1,z,u) * a(x,y,y),w,v5) = a((z * u) \ (L(a(x,y,y),w,v5) \ (z * u)),z,u). L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w) = L(x \ 1,u,w) * L(R(x,u \ 1,w \ 1),y,z). L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) = L(L(x,u,w) \ 1,y,z) \ L(x \ 1,y,z). L(x \ 1,y,z) * L(R(x,y \ 1,z \ 1),u,w) != v5 | L((1 / x) * L(x,u,w),y,z) = v5. L((1 / x) * L(x,y,z),u,w) = L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w). L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w) = L((1 / x) * L(x,y,z),u,w). L(L(x,y,z) \ 1,u,w) \ L(x \ 1,u,w) = L(x \ L(x,y,z),u,w). a(x * y,y \ (x \ y),(x * y) * (y \ (x \ y))) \ 1 = y \ L(y,y \ (x \ y),x * y). a(x * y,y \ (x \ y),y) \ 1 = y \ L(y,y \ (x \ y),x * y). K((x * a(y \ 1,z \ 1,u \ 1)) * w,x \ 1) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. K(x,(x * a(y \ 1,z \ 1,u \ 1)) * w) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. K(x,a(y \ 1,z \ 1,u \ 1) * w) != v5 | K(x \ 1,w \ ((u * z) \ ((u * (z * y)) / y))) = v5. (((x * y) * z) \ (x * (y * z))) * a(x,y,z) = ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z). ((((x * y) * z) \ (x * (y * z))) \ 1) \ a(x,y,z) = (((x * y) * z) \ (x * (y * z))) * a(x,y,z). (((x * y) \ ((x * (y * z)) / z)) \ 1) \ a(x,y,z) = (((x * y) * z) \ (x * (y * z))) * a(x,y,z). (((x * y) \ ((x * (y * z)) / z)) \ 1) \ a(x,y,z) = ((x * y) \ ((x * (y * z)) / z)) * a(x,y,z). a(x \ 1,y \ 1,z \ 1) \ a(z,y,x) = ((z * y) \ ((z * (y * x)) / x)) * a(z,y,x). ((x * y) \ ((x * (y * z)) / z)) * a(x,y,z) = a(z \ 1,y \ 1,x \ 1) \ a(x,y,z). ((x * y) \ ((x * (y * z)) / z)) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = a(x,y,z). T((x * y) \ ((x * (y * z)) / z),a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). L(((x * y) \ ((x * (y * z)) / z)) \ 1,(x * y) \ ((x * (y * z)) / z),x * (y * z)) = (x * (y * z)) \ ((x * y) * z). a(x,y,z) = L(((x * y) \ ((x * (y * z)) / z)) \ 1,(x * y) \ ((x * (y * z)) / z),x * (y * z)). a(x,y,z) = L(a(z \ 1,y \ 1,x \ 1),(x * y) \ ((x * (y * z)) / z),x * (y * z)). L(a(x \ 1,y \ 1,z \ 1),(z * y) \ ((z * (y * x)) / x),z * (y * x)) = a(z,y,x). (a(x,y,z) \ u) * K(a(z \ 1,y \ 1,x \ 1),L(u,(x * y) \ ((x * (y * z)) / z),x * (y * z))) = u / L(a(z \ 1,y \ 1,x \ 1),(x * y) \ ((x * (y * z)) / z),x * (y * z)). L(L(x \ 1,x,1),x,y) \ L((y \ (y / x)) * z,x,x \ 1) = L(L(z,y \ (y / x),x),(y \ (y / x)) * x,x \ 1). L(L(x,y \ (y / z),z),(y \ (y / z)) * z,z \ 1) = L(L(z \ 1,z,1),z,y) \ L((y \ (y / z)) * x,z,z \ 1). L(L(x,y \ (y / z),z),(y \ (y / z)) * z,z \ 1) = L(z \ 1,z,y) \ L((y \ (y / z)) * x,z,z \ 1). L(L(x,y,z \ (z / y)),(z \ (z / y)) * y,y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). L(L(x,y,z \ (z / y)),y * (z \ (z / y)),y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x * T((x / y) \ x,z)),u,w). K(x,x \ 1) \ ((1 / ((L(y,z,u) \ y) * L(y,z,u))) * (L(y,z,u) \ y)) = L(y,z,u) \ 1. K(x,x \ 1) \ ((1 / y) * (L(y,z,u) \ y)) = L(y,z,u) \ 1. (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. ((x * (x \ y)) \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u) = ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)). (x \ 1) * L(((y \ 1) \ 1) * (y \ x),z,u) = ((y \ x) \ 1) * ((y \ 1) * L(y \ ((y \ 1) \ x),z,u)). ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(((x \ 1) \ 1) * (x \ y),z,u). ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(x * (x \ y),z,u). ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = (y \ 1) * L(y,z,u). x \ L(x,y,z) = ((u \ x) \ 1) * ((u \ 1) * L(u \ ((u \ 1) \ x),y,z)). ((x \ y) \ 1) * ((x \ 1) * L(x \ ((x \ 1) \ y),z,u)) = y \ L(y,z,u). ((x \ y) \ 1) * (x \ L(y,z,u)) = y \ L(y,z,u). ((x * y) \ 1) * ((x \ 1) \ L(L(y,x,x \ 1),z,u)) = L(y,x,x \ 1) \ L(L(y,x,x \ 1),z,u). ((x * y) \ 1) * (x * L(y,z,u)) = L(y,x,x \ 1) \ L(L(y,x,x \ 1),z,u). L(x,y,y \ 1) \ L(L(x,y,y \ 1),z,u) = ((y * x) \ 1) * (y * L(x,z,u)). L(L(x,y,z) \ x,u,u \ 1) \ 1 = ((u * x) \ 1) * (u * L(x,y,z)). R((L(x,y,z) \ x) \ 1,u \ 1,u) = ((u * x) \ 1) * (u * L(x,y,z)). R(x \ L(x,y,z),u \ 1,u) = ((u * x) \ 1) * (u * L(x,y,z)). ((x * y) \ 1) * (x * L(y,z,u)) = R(y \ L(y,z,u),x \ 1,x). x != R(y,z \ 1,z) | L(y,z,z \ 1) = x. L(x \ L(x,y,z),u,u \ 1) = ((u * x) \ 1) * (u * L(x,y,z)). ((x * y) \ 1) * (x * L(y,z,u)) = L(y \ L(y,z,u),x,x \ 1). x \ ((y \ x) * L((y \ x) \ x,z,u)) = T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x). T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x) = x \ ((y \ x) * L((y \ x) \ x,z,u)). T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),y \ x) = x \ (L(y,z,u) * (y \ x)). ((x * L(x \ 1,y,z)) * (x \ u)) * a(x,x \ u,x * L(x \ 1,y,z)) = x \ (u * T(x * L(x \ 1,y,z),u)). ((x * L(x \ 1,y,z)) * (x \ u)) * 1 = x \ (u * T(x * L(x \ 1,y,z),u)). x \ (y * T(x * L(x \ 1,z,u),y)) = ((x * L(x \ 1,z,u)) * (x \ y)) * 1. (x * L(x \ 1,y,z)) * (x \ u) = x \ (u * T(x * L(x \ 1,y,z),u)). x \ (y * T(x * L(x \ 1,z,u),y)) = (x * L(x \ 1,z,u)) * (x \ y). x \ ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x \ u). a(x,L(x \ 1,y,z),u) = L(x \ 1,y,z) \ (((x * L(x \ 1,y,z)) * (x \ u)) / u). L(x \ 1,y,z) \ (((x * L(x \ 1,y,z)) * (x \ u)) / u) = a(x,L(x \ 1,y,z),u). L(x \ 1,y,z) \ L(u \ (u / x),y,z) = a(x,L(x \ 1,y,z),u). x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(x \ (x * T(y,z)),u,w). x * (T(x \ (x / y),z) * L(T(x \ (x / y),z) \ 1,u,w)) = (x / T(y,z)) * L(T(y,z),u,w). x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u),w) = (x / T(y,w)) * L(T(y,w),z,u). (x / T(y,z)) * L(T(y,z),u,w) = x * T((x \ (x / y)) * L((x \ (x / y)) \ 1,u,w),z). (x / T(y,z)) * L(T(y,z),u,w) = x * T(x \ ((x / y) * L((x / y) \ x,u,w)),z). (x / T(y,z)) * L(T(y,z),u,w) = x * T(x \ ((x / y) * L(y,u,w)),z). x \ ((x / T(y,z)) * L(T(y,z),u,w)) = T(x \ ((x / y) * L(y,u,w)),z). x \ ((x / T(y,z)) * L(T(y,z),u,w)) != v5 | T(x \ ((x / y) * L(y,u,w)),z) = v5. x * T(x \ ((x / y) * L(y,z,u)),w) != v5 | (x / T(y,w)) * L(T(y,w),z,u) = v5. L(x,y,y \ 1) * L(L(x,y,y \ 1) \ ((y \ 1) \ L(x,y,y \ 1)),z,u) = (y \ L(y,z,u)) * (y * x). L(x,y,y \ 1) * L(L(x,y,y \ 1) \ (y * x),z,u) = (y \ L(y,z,u)) * (y * x). L(x,y,y \ 1) * L((L(x,y,y \ 1) \ y) * x,z,u) = (y \ L(y,z,u)) * (y * x). L(x,y,y \ 1) * L(x \ ((y \ 1) \ x),z,u) = (y \ L(y,z,u)) * (y * x). (x \ 1) * (L(y,x,x \ 1) * L((L(y,x,x \ 1) \ x) * y,z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,L(x,w,v5) \ y). L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x \ 1,x,v5) \ 1,y,z). L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(R(x,x \ 1,v5 \ 1),y,z). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). x != K((y \ z) \ z,u) | K(y,T(u,z)) = x. K(x,T(y \ (R(x,z,u) * w),w)) = K(T(x,R(x,z,u) * (x \ w)),(R(x,z,u) \ y) \ w). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x != K(y,T(z \ (R(y,u,w) * v5),v5)) | K(y,(R(y,u,w) * v5) / z) = x. 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) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). K(x,y / (R(x,z,u) \ w)) != v5 | K(x,(y * R(x,z,u)) / w) = v5. K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w. K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) != v7 | K(R(x,y,z),u) = v7. K(R(x,y,z),u) = K(x,R(R(x / u,u,L(K(w,x),v5,v6)),y,z) \ x). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). K(x,R(R(x / y,z,u),w,v5) \ x) != v6 | R(R(K(x,y),z,u),w,v5) = v6. R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u) = K(x,R(u,y,z)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). K(x,y \ R(y,z,u)) = K(x,R(y \ R(y,z,u),y,w)). K(x,R(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. a(K(x,y),z * y,u) = a(K(x,y),z,u). K(x,a(y,z,u)) = K(x,y \ R(y,z,u)). K(x,y \ R(y,z,u)) = K(x,a(y,z,u)). K(x,y \ R(y,z,u)) != w | a(K(x,y),z * y,u) = w. a(K(x,y),z * y,u) = K(x,a(y,z,u)). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | a(K(y,z),u,w) = x. a(K(x,y),z,u) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = a(K(x,y),z,u). K(x,x * a(y,z,u)) != w | a(y,z,K(x,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)). x != a(y,z,K(u,z)) | 1 = x. 1 = a(K(x,y),z,z). a(K(x,y),z,z) = 1. a(K(x,y),z,u) != w | a(K(x * y,y),z,u) = w. a(K(x * y,y),z,u) = a(y,z,K(x,u)). a(K(x,x \ y),z,u) != w | a(K(x,y),z,u) = w. a(K(x,y),z,u) = a(x \ y,z,K(x,u)). a(x \ y,z,K(x,u)) = a(K(x,y),z,u). a(K(x,L(y,z,u)),w,v5) = a(L(y,y * z,u),w,K(x,v5)). a(L(x,x * y,z),u,K(w,v5)) = a(K(w,L(x,y,z)),u,v5). a(K(x,x \ (y / z)),u,w) = a(y / (z * x),u,K(x,w)). a(K(x,x \ (y * z)),u,w) = a((y \ x) \ z,u,K(x,w)). L(x,x,K(y,z)) = x. a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. a(x,y,K(z * x,u)) = a(x,y,K(z,u)). x != a(K(y,z),u,w) | a(z,u,K(y,w)) = x. a(x,y,K(z,u)) = a(z \ x,y,K(z,u)). a(x \ y,z,K(x,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) = a(x,y,K(z / x,u)). a(x,y,K(z / x,u)) = a(x,y,K(z,u)). a(x,y,K(z \ x,u)) = a(x,y,K(z \ 1,u)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ x,u)). a(x,y,K(z / x,u)) = a(z,y,K(z / x,u)). a(x,y,K(z \ x,u)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,x \ u)) != w | a(x,y,K(z,u)) = w. a(x \ (y / z),u,K(x,w)) = a(y / (z * x),u,K(x,w)). a(x / (y * z),u,K(z,w)) = a(z \ (x / y),u,K(z,w)). a(x \ (y * z),u,K(x,w)) = a((y \ x) \ z,u,K(x,w)). a((x \ y) \ z,u,K(y,w)) = a(y \ (x * z),u,K(y,w)). (x \ 1) * (L(y,x,x \ 1) * L(y \ ((x \ 1) \ y),z,u)) = ((x \ 1) * L((x \ 1) \ 1,z,u)) * L(y,x,x \ 1). (x \ 1) * (L(y,x,x \ 1) * L(y \ ((x \ 1) \ y),z,u)) = (x \ L(x,z,u)) * L(y,x,x \ 1). (x \ 1) * ((x \ L(x,y,z)) * (x * u)) = (x \ L(x,y,z)) * L(u,x,x \ 1). L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y / (y * x)) * L((y / (y * x)) \ 1,z,u). x != (y / z) * L((y / z) \ 1,u,w) | (y * L(y \ z,u,w)) / z = x. (x * L(x \ (x * y),z,u)) / (x * y) = L(T(y \ 1,x \ 1) * L(T(y \ 1,x \ 1) \ 1,z,u),y,x). L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y * L(y \ (y * x),z,u)) / (y * x). L(T(x \ 1,y \ 1) * L(T(x \ 1,y \ 1) \ 1,z,u),x,y) = (y * L(x,z,u)) / (y * x). L(T(x \ 1,y \ 1) * L(T(x,y \ 1),z,u),x,y) = (y * L(x,z,u)) / (y * x). a(T(x,y \ 1),T(x \ 1,y \ 1),z / L(y,T(x,y \ 1),(y * x) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). a(T(x,y \ 1),T(x \ 1,y \ 1),z / L(y,x,(x * y) \ z)) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). a(T(x,y \ 1),T(x \ 1,y \ 1),(z / (x * y)) * x) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). a(T(x,y),T(x \ 1,y),z) != u | a(x,x \ 1,z) = u. a(x,x \ 1,(y / (x * z)) * x) = a(T(x,z \ 1),T(x,z \ 1) \ 1,y / (z * x)). a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,(z / (x * y)) * x). x != a(y,y \ 1,z * y) | a(y,y \ 1,z) = x. a(x,x \ 1,y / (x * z)) = a(T(x,z \ 1),T(x,z \ 1) \ 1,y / (z * x)). a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,z / (x * y)). x != a(y,y \ 1,z / u) | a(y,y \ 1,u \ z) = x. a(x,x \ 1,(x * y) \ z) = a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)). a(T(x,y \ 1),T(x,y \ 1) \ 1,z / (y * x)) = a(x,x \ 1,(x * y) \ z). a(x,x \ 1,y / (z * x)) = a(x,x \ 1,(x * z) \ y). a(x,x \ 1,y / z) != u | a(x,x \ 1,z \ y) = u. a(x,x \ 1,(y * x) \ z) = a(x,x \ 1,(x * y) \ z). (x \ L(x,y,z)) \ L(((L(x,y,z) \ x) \ 1) * (L(x,y,z) \ L(x,u,w)),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). (x \ L(x,y,z)) \ L(x \ L(x,u,w),v5,v6) = (L(x,y,z) \ x) * L(x \ L(x,u,w),v5,v6). (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,w,v5))) = (L(x,y,z) \ x) * L(x \ L(x,w,v5),x,u). x != (L(y,z,u) \ y) * L(y \ L(y,w,v5),v6,v7) | y * (L(y,z,u) \ L(y \ L(y,w,v5),v6,v7)) = x. x * (L(x,y,z) \ L(x \ L(x,u,w),x,v5)) = (x \ L(x,y,z)) \ (v5 \ ((v5 / x) * L(x,u,w))). (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,w,v5))) = x * (L(x,y,z) \ L(x \ L(x,w,v5),x,u)). ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T(x \ L(x,y,z),L(u,x,x \ 1)). ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = (x * u) * T(x \ L(x,y,z),u). x != (y * z) * T(y \ L(y,u,w),z) | y * ((y \ L(y,u,w)) * z) = x. x * ((x \ L(x,y,z)) * u) = ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)). ((x \ 1) * L((x \ 1) \ 1,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = x * ((x \ L(x,y,z)) * u). (x \ L(x,y,z)) * ((x \ 1) \ L(u,x,x \ 1)) = x * ((x \ L(x,y,z)) * u). (x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u). x \ ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * (x \ u). (x \ L(x,y,z)) * u = x * ((x \ L(x,y,z)) * (x \ u)). x * ((x \ L(x,y,z)) * (x \ u)) = (x \ L(x,y,z)) * u. (x \ L(x,y,z)) \ (x * u) = x * ((x \ L(x,y,z)) \ u). a(x \ L(x,y,z),x,u) = (x * ((x \ L(x,y,z)) * u)) \ (((x \ L(x,y,z)) * x) * u). (x * ((x \ L(x,y,z)) * u)) \ (((x \ L(x,y,z)) * x) * u) = a(x \ L(x,y,z),x,u). L(x,y,y \ L(y,z,u)) = ((y \ L(y,z,u)) * y) \ (y * ((y \ L(y,z,u)) * x)). ((x \ L(x,y,z)) * x) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). (x \ L(x,y,z)) * (u * x) = x * ((x \ L(x,y,z)) * T(u,x)). x * ((x \ L(x,y,z)) * T(u,x)) = (x \ L(x,y,z)) * (u * x). (x \ 1) * (x * ((x \ L(x,y,z)) * u)) = (x \ L(x,y,z)) * L(u,x,x \ 1). x \ (a(x,y,y \ 1) * z) = (x \ L(x,y,y \ 1)) * (x \ z). (x \ L(x,y,y \ 1)) * (x \ z) = x \ (a(x,y,y \ 1) * z). x \ ((x \ L(x,y,z)) * L(u,x,x \ 1)) = (x \ L(x,y,z)) * ((x \ 1) * u). ((x \ L(x,y,z)) * u) \ (L(x,y,z) * (x \ u)) = a(x,x \ L(x,y,z),x \ u). (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u) = a(x,x \ L(x,y,z),x \ u). (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u) = L(x,y,z) \ ((x * ((x \ L(x,y,z)) * (x \ u))) / (x \ u)). L(x,y,z) \ ((x * ((x \ L(x,y,z)) * (x \ u))) / (x \ u)) = (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u). x * ((x \ L(y,z,u)) * T(w,y)) != v5 | T(x * ((x \ L(y,z,u)) * w),y) = v5. T(x * ((x \ L(x,y,z)) * u),x) = (x \ L(x,y,z)) * (u * x). a(x,y,y \ 1) * (x \ z) = x \ (a(x,y,y \ 1) * z). x \ (a(x,y,y \ 1) * z) = a(x,y,y \ 1) * (x \ z). ((x \ L(x,y,z)) * u) * x = (x \ L(x,y,z)) * (u * x). L((x \ L(x,y,z)) * u,x,x \ 1) = (x \ L(x,y,z)) * L(u,x,x \ 1). x \ L((x \ L(x,y,z)) * u,x,x \ 1) = (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 \ 1) * ((x \ L(x,y,z)) * (u \ 1))) \ 1 = (u * ((x \ 1) \ 1)) * ((x \ L(x,y,z)) \ 1). L(x,y,z) \ (x * ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). L(x,y \ L(y,z,u),y) = L(x,y,y \ L(y,z,u)). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x,x \ L(x,y,z)). a(x,x \ L(x,y,z),u) = a(x,x \ L(x,y,z),x \ u). a(x,x \ L(x,y,z),x \ u) = a(x,x \ L(x,y,z),u). x != a(y,y \ L(y,z,u),y \ w) | a(y,y \ L(y,z,u),w) = x. a(x,x \ L(x,y,z),u) = (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u). (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u) = a(x,x \ L(x,y,z),u). (x * ((x \ L(x,y,z)) * u)) \ (L(x,y,z) * u) = a(x \ L(x,y,z),x,u). a(x,x \ L(x,y,z),u) = a(x \ L(x,y,z),x,u). a(x \ L(x,y,z),x,u) = a(x,x \ L(x,y,z),u). a((x \ L(x,y,z)) * u,w,a(x,x \ L(x,y,z),u)) = 1. x * 1 = a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u). a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u) = x * 1. x = a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u). a(x,x \ L(x,y,z),u) \ R(x,x \ L(x,y,z),u) = x. (x * ((y \ L(y,z,u)) \ 1)) * ((y \ 1) \ 1) = (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1). (x * (L(y,z,u) \ y)) * ((y \ 1) \ 1) = (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1). (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * ((y \ 1) \ 1). (x * ((y \ 1) \ 1)) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * y. (x * y) * ((y \ L(y,z,u)) \ 1) = (x * (L(y,z,u) \ y)) * y. (x * y) * (L(y,z,u) \ y) = (x * (L(y,z,u) \ y)) * y. (x * (L(y,z,u) \ y)) * y = (x * y) * (L(y,z,u) \ y). (x * (L(y,z,u) \ y)) \ ((x * y) * (L(y,z,u) \ y)) = y. x \ (y * z) != u | (K(z,y) * x) \ (z * y) = u. (K(L(x,y,z) \ x,u * x) * (u * (L(x,y,z) \ x))) \ ((L(x,y,z) \ x) * (u * x)) = x. (a(x,y,K(z,u * z)) * (u * (L(z,y,x) \ z))) \ ((L(z,y,x) \ z) * (u * z)) = z. (a(x,y,K(z,u)) * (u * (L(z,y,x) \ z))) \ ((L(z,y,x) \ z) * (u * z)) = z. L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)) = (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u). (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u) = L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)). L(L(x,x \ 1,y \ 1),z,u) \ L(x,z,u) = L(x \ L(x,x \ 1,y \ 1),z,u) \ 1. L(L(x,y,z),u,w) \ L(x,u,w) != v5 | L(L(x,y,z) \ x,u,w) = v5. L(L(x,x \ 1,y \ 1) \ x,z,u) = L(x \ L(x,x \ 1,y \ 1),z,u) \ 1. L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(L(x,x \ 1,y \ 1) \ x,z,u). L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(x * R(x \ 1,x,y),z,u). L(x \ L(x,x \ 1,y \ 1),z,u) \ 1 = L(x * L(x \ 1,x,y),z,u). L(x \ L(x,y \ 1,z \ 1),u,w) \ 1 != v5 | R(x * R(x \ 1,y,z),u \ 1,w \ 1) = v5. R(x * R(x \ 1,x,y),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). R(x * L(x \ 1,x,y),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). ((x * ((x / y) \ x)) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). ((x * y) * z) \ T((z * x) * L((x \ (x / y)) \ 1,x \ (y \ x),x),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). ((x * y) * z) \ T((z * x) * ((x / y) \ (x * 1)),z) = a(z,x,L((x \ (x / y)) \ 1,x \ (x / y),x)). a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * ((y / z) \ (y * 1)),x). a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * ((y / z) \ y),x). a(x,y,L((y \ (y / z)) \ 1,y \ (y / z),y)) = ((y * z) * x) \ T((x * y) * z,x). a(x,y,(y / z) \ y) = ((y * z) * x) \ T((x * y) * z,x). a(x,y,z) = ((y * z) * x) \ T((x * y) * z,x). T((x * y) * z,x) / a(x,y,z) = (y * z) * x. a(x,y,y \ z) = (z * x) \ T((x * y) * (y \ z),x). (x * y) \ T((y * z) * (z \ x),y) = a(y,z,z \ x). a(T(x,y),z,T(y,x)) = ((z * y) * x) \ T((T(x,y) * z) * T(y,x),T(x,y)). ((x * y) * z) \ T((T(z,y) * x) * T(y,z),T(z,y)) = a(T(z,y),x,T(y,z)). T((x * y) * z,u) / a(x,y,z) != w | a(x,y,z) \ T((x * y) * z,u) = w. a(x,y,z) \ T((x * y) * z,x) = (y * z) * x. ((x * y) * z) \ T((z * x) * y,z) != u | a(z,x,y) = u. x \ T((y * z) * (z \ (x / y)),y) = a(y,z,z \ (x / y)). x \ (y \ ((y * z) * (z \ ((x / y) * y)))) = a(y,z,z \ (x / y)). x \ (y \ ((y * z) * (z \ x))) = a(y,z,z \ (x / y)). a(x,y,y \ z) = a(x,y,y \ (z / x)). a(x,y,y \ (z / x)) = a(x,y,y \ z). a(x,y,y \ 1) = a(x,y,y \ x). a(x,y,y \ (x \ z)) = a(x,y,y \ T(z,x)). a(x,y,y \ T(z,x)) = a(x,y,y \ (x \ z)). a(x,y,y \ 1) = a(y * x,y,y \ (y * x)). a(x * y,x,x \ (x * y)) = a(y,x,x \ 1). a(x,y \ x,(y \ x) \ 1) != z | a(y,y \ x,x \ 1) = z. a(x,x \ y,y \ 1) = a(y,x \ y,(x \ y) \ y). a(x,y \ x,(y \ x) \ x) = a(y,y \ x,x \ 1). a(x,y \ 1,(y \ 1) \ 1) != z | a(x,y,y \ 1) = z. a(x,y,y \ 1) = a(x,y \ 1,(y \ 1) \ x). a(x,y \ 1,(y \ 1) \ x) = a(x,y,y \ 1). a(T(x,y) / z,T(x,y),T(x,y) \ 1) = a(T(x,y) / z,T(x,y),x \ (x / z)). a(x * y,x,y) = a(y,x,x \ 1). a(x * y,z,y) != u | a(x,z,y) = u. a(x,x,y) = a(y,x,x \ 1). a(x,y,y \ 1) = a(y,y,x). a((x * y) \ z,x,x \ 1) = a(x,x,(y * x) \ z). a(x,y,y \ 1) = a(y,y,T(x,z)). a(x,y,y \ 1) != z | a(x,y,(x * y) \ 1) = z. a(x,y,(x * y) \ 1) = a(y,y,x). a(x,y,y \ 1) != z | x \ L(x,y,y \ 1) = z. x \ L(x,y,y \ 1) = a(y,y,x). a(x,y,y \ 1) != z | a(x,y,y \ x) = z. a(x,y,y \ x) = a(y,y,x). a(L(x \ y,z,u),x,x \ 1) != w | a(L(y,z,u),x,x \ 1) = w. a(L(x,y,z),u,u \ 1) = a(u,u,L(u \ x,y,z)). a(x \ 1,y,y \ 1) != z | a(y,y \ 1,x) = z. a(x,x \ 1,y) = a(x,x,y \ 1). a(x \ y,x,x \ 1) != z | a(y,x,x \ 1) = z. a(x,y,y \ 1) = a(y,y,y \ x). a(x,x,y) \ 1 = a(x,x \ 1,y). a(x,x \ 1,y) = a(x,x,y) \ 1. (x \ y) * a(x,x,y) = (x \ 1) * y. (x \ ((y / x) \ 1)) \ a(x,x,y) = y. a(x,x \ 1,L(y \ K(y,z),u,w)) = L(a(x,x,y),u,w). a(R(x,y,z \ 1),u,u \ 1) = L(a(u,u,x),y \ 1,z). a(L(x,y \ 1,z),u,u \ 1) = R(a(u,u,x),y,z \ 1). a(x,x \ 1,y) \ x = x * a(x,x,y). a(x,y,y \ 1) != z | a(y,y,x) = z. a(x,x,y) = a(x,x,T(y,z)). a(x,x,T(y,z)) = a(x,x,y). a(x,x,y \ z) = a(x,x,z / y). a(x,x,y / z) = a(x,x,z \ y). a(x,x,R(y \ z,u,w)) = a(x,x,R(z / y,u,w)). a(x,x,R(y / z,u,w)) = a(x,x,R(z \ y,u,w)). a(x,x,R(y \ z,y,u)) = a(x,x,(z * u) / (y * u)). (x * y) * a(y,y,x) = x * R(y,y,x). (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * L(a(z,z,y),u,w)) * (y * (z * ((y * z) \ 1))). a(x,x,y) != z | a(y,x,x \ 1) = z. a(x,x \ 1,y) = a(x,x,L(y,z,y * x) \ 1). a(x,x,L(y,z,y * x) \ 1) = a(x,x \ 1,y). a(x,y,y \ 1) = a(y,y,(x \ y) \ 1). a(x,x,(y \ x) \ 1) = a(y,x,x \ 1). a(x,x \ 1,y) = a(x,x,(y * x) \ 1). a(x,x,(y * x) \ 1) = a(x,x \ 1,y). a(x,x \ 1,y) != z | y * (x * ((y * x) \ 1)) = z. x * (y * ((x * y) \ 1)) = a(y,y,x \ 1). a(x,x \ 1,y) != z | x * L(x \ 1,x,y) = z. x * L(x \ 1,x,y) = a(x,x,y \ 1). L(x,y,y \ 1) \ x = a(y,y,x \ 1). a(x,x \ 1,(y * x) \ z) != u | a(x,x \ 1,(x * y) \ z) = u. a(x,x \ 1,(x * y) \ z) = a(x,x,((y * x) \ z) \ 1). a(x,x \ 1,L(y \ z,x,y)) != u | a(x,x \ 1,(y * x) \ z) = u. a(x,x \ 1,(y * x) \ z) = a(x,x,L(y \ z,x,y) \ 1). a(x,x,L(y \ z,x,y) \ 1) = a(x,x \ 1,(y * x) \ z). (x * y) * a(x,x,y \ 1) = (x \ 1) \ y. (x \ y) \ a(x,x,y \ 1) = (y \ 1) * x. a(x,x \ 1,L(y,z,u)) = L(a(x,x,y \ 1),z,u). (x \ ((x \ 1) \ y)) \ a(x,x,y \ 1) = y \ 1. a(x,x,y) = a(x,x,x \ y). a(x,x,x \ y) = a(x,x,y). a(x,x,y) = a(x,x,x * y). a(x,x,x * y) = a(x,x,y). a(x,x \ 1,y) != z | a(x,x,y \ 1) = z. a(x,x,y \ 1) = a(x,x,y) \ 1. a(x,x,(K(y,z) * u) / z) = a(x,x,T(z,y) \ u). (x \ 1) * a(y,y,z \ 1) = (a(y,y,z) * x) \ 1. a(x,x,x \ y) != z | a(y,x,x \ 1) = z. (x * y) * a(y,y,x) != x * z | R(y,y,x) = z. x != a(y,z,z \ 1) | a(z,z,y) = x. a(x,x,y) = a(x,x,(y \ x) \ 1). a(x,x,(y \ x) \ 1) = a(x,x,y). x != a(y,y \ 1,z) | a(y,y,z \ 1) = x. a(x,x,y \ 1) = a(x,x,(y * x) \ 1). a(x,x,(y * x) \ 1) = a(x,x,y \ 1). x \ a(x,x,y \ 1) = L(x \ 1,x,y). x * (y \ (y / x)) = a(x,x,y \ 1). (x \ y) * (y \ x) = a(x \ y,x \ y,y \ 1). a(x \ y,x \ y,y \ 1) = (x \ y) * (y \ x). R(a(x,x,y \ 1),z \ 1,u \ 1) = L(x * L(x \ 1,x,y),z,u). x != a(y,y,z \ 1) | a(y,y,z) \ 1 = x. a(x,x,y) \ 1 = x * (y \ (y / x)). x * (y \ (y / x)) = a(x,x,y) \ 1. a(x,y,x \ (y \ x)) = a(y,y,x). a(x,x,y) \ y = y * (x * (y \ (y / x))). x * (y * (x \ (x / y))) = a(y,y,x) \ x. a(x,x,y \ 1) != z | a(x,x \ 1,y) = z. a(x \ y,x \ y,y \ 1) = a(x \ y,x \ y,x \ 1). x \ (a(x,x,y) \ 1) = L(x \ 1,x,y). x * (y * a(x,x,y \ 1)) = (x \ 1) \ y. x * a(y,y,x \ 1) = a(y,y,x) \ x. x * (a(x,x,y) \ y) = (x \ 1) \ y. a(x,x,y) = a(y,x \ 1,(x \ 1) \ y). a(x,y \ 1,(y \ 1) \ x) = a(y,y,x). x != a(y \ 1,z,z \ 1) | a(z,z \ 1,y) = x. a(x,x \ 1,y) = a(y \ 1,x \ 1,(x \ 1) \ (y \ 1)). a(x \ 1,y \ 1,(y \ 1) \ (x \ 1)) = a(y,y \ 1,x). a(x,y,y \ x) != z | a(y,y,x) = z. a(x \ 1,x \ 1,y) = a(x,x,y). a(x,y \ x,T(y,x)) = a(y,y \ x,x \ 1). a(x,x,(x * y) \ z) = a(x,x,(y * x) \ z). a(x,x,(y * x) \ z) = a(x,x,(x * y) \ z). a(x,x,L(y,z,u)) = a(x,x,L(x \ y,z,u)). a(x,x,L(x \ y,z,u)) = a(x,x,L(y,z,u)). a(x,x,K(y,z) * (u / z)) = a(x,x,T(z,y) \ u). a(x,x,K(y,K(z,u)) * (w / K(y,u))) = a(x,x,T(K(y,u),z) \ w). x != a(y,y,z / u) | a(y,y,u \ z) = x. a(x,x,(y * z) \ (u * z)) = a(x,x,R(y \ u,y,z)). a(x,x,R(y \ z,y,u)) = a(x,x,(y * u) \ (z * u)). a(x,x,R(y,z,u)) = a(x,x,(z * u) \ ((z * y) * u)). a(x,x,(y * z) \ ((y * u) * z)) = a(x,x,R(u,y,z)). a(x,x,T(y * z,z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,T(y,z),z)). a(x,x,L(y \ K(y,z),u,w) \ 1) = L(a(x,x,y),u,w). a(x \ 1,y \ 1,(x / y) \ 1) = a(y,y \ 1,x). a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,T(K(y,u),z) \ w). a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,K(T(u,z),y) * w). a(x,x,K(y,K(z,u)) * (w * K(u,y))) = a(x,x,K(u,T(y,z)) * w). a(x,x,T(y * z,z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,y,z)). ((x * y) * z) \ T(T((z * x) * y,K(z,y)),T(z,y)) = a(T(z,y),x,T(y,z)). ((x * y) * z) \ T((z * x) * y,z) = a(T(z,y),x,T(y,z)). a(x,y,z) = a(T(x,z),y,T(z,x)). a(T(x,y),z,T(y,x)) = a(x,z,y). a(T(x,y),z,T(y,x)) != u | a(x,z,y) = u. a(x,y,z) != u | y \ ((x \ ((x * y) * z)) / z) = u. x \ ((T(y,z) \ ((T(y,z) * x) * T(z,y))) / T(z,y)) = a(y,x,z). a(x,y,z) = y \ ((T(x,z) \ ((T(x,z) * y) * T(z,x))) / T(z,x)). a(x,y,z) = y \ ((T(x,z) \ T((x * y) * z,K(x,z))) / T(z,x)). a(x,y,z) = y \ (T(T(x,z) \ ((x * y) * z),K(x,z)) / T(z,x)). a(x,y,z) = y \ (T(((x * y) * z) / T(x,z),x) / T(z,x)). a(x,y,z) = y \ ((x \ ((x * y) * T(z,x))) / T(z,x)). x != y \ ((z \ ((z * y) * u)) / u) | a(z,y,u) = x. a(x,y,T(z,x)) = a(x,y,z). a(x,y \ x,T(y,x)) != z | a(y,y \ x,x \ 1) = z. a(x,x \ y,y \ 1) = a(y,x \ y,x). a(T(x,y),z,T(y,x)) = a(T(x,y),z,y). a(x \ 1,y,(z / x) \ 1) = a(x \ 1,y,(x \ z) \ 1). a(x,y,K(z \ x,u)) = a(x,y,K(x / z,u)). a(x,y,K(x / z,u)) = a(x,y,K(z \ x,u)). a(x,y \ x,y) \ T((y * (y \ x)) * (x \ 1),y) = ((y \ x) * (x \ 1)) * y. a(x,y,z) = a(T(x,z),y,z). a(T(x,y),z,y) = a(x,z,y). a(T(x,y),z,y) != u | a(y \ x,z,y) = u. a(x \ y,z,x) = a(y,z,x). a(x,x,y) != z | a(y,x,x \ y) = z. a(x,x \ y,(x \ y) \ x) = a(y,x \ y,x). a((x \ 1) \ y,x,x \ 1) != z | (x \ ((x \ 1) \ y)) \ y = z. (x \ ((x \ 1) \ y)) \ y = a(y,x,x \ 1). a(x,y,z) = a(z * x,y,z). a(x * y,z,x) = a(y,z,x). a(x \ (y * (x * ((y * x) \ (x * z)))),u,y) = a(L(y \ z,x,y),u,y). ((x \ 1) * y) \ (a(y,x,x \ 1) * z) = a((x \ 1) * y,x,x \ 1) * (((x \ 1) * y) \ z). a((x \ 1) * y,x,x \ 1) * (((x \ 1) * y) \ z) = ((x \ 1) * y) \ (a(y,x,x \ 1) * z). a(x,y,K(x / z,u)) != w | a(z,y,K(x / z,u)) = w. a(x,y,K(z / x,u)) = a(z,y,K(x \ z,u)). a(x,y,K(z \ x,u)) = a(z,y,K(x / z,u)). a(x,x \ y,(y \ x) * x) = a(y,x \ y,x). x != a(y,z,K(u / y,w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(z,y,K(x \ z,u)). a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). a(x,y,K(z,u)) = a(u,y,K(x,z)). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x,y,K(z,u)) = a(u,y,K(x,u \ z)). a(x,y,K(z,x \ u)) = a(z,y,K(u,x)). a(x,y,K(z,u)) = a(z,y,K(x,u \ z)). a(x,y,K(z,u \ x)) = a(z,y,K(x,u)). x != a(y,z,K(u,w)) | a(K(u,y),z,w) = x. a(K(x,y),z,u) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | K(w,L(u,z,y)) * K(u,w) = x. K(x,L(y,z,u)) * K(y,x) = a(y,z,K(x,u)). x != a(y,z,K(u,w)) | a(y,z,K(w \ u,w)) = x. a(x,y,K(z \ u,z)) = a(u,y,K(z,x)). x != a(y,z,K(u,w)) | K(u,a(y,z,w)) = x. K(x,a(y,z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = K(x,a(u,y,z)). x != a(y,z,K(u,w)) | K(a(y,z,u),w) = x. K(a(x,y,z),u) = a(z,y,K(u,x)). a(x,y,K(z,u)) = K(a(u,y,x),z). x != a(y,z * u,K(w,u)) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(z,y * u,K(u,x)). a(x,y * z,K(z,u)) = a(u,y,K(x,z)). a(x,y,K(z,u)) != w | a(K(z,x),y,u) = w. a(K(x,y),z,u) = a(u,z,K(y,x)). a(x,y,K(z,u)) != w | K(z,a(x,y,u)) = w. K(x,a(y,z,u)) = a(u,z,K(y,x)). a(x,y,K(z,u)) = K(u,a(z,y,x)). a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. a(x,y,K(z,u)) = a(u,z \ y,K(x,z)). a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). a(x,y,K(z * u,z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,u)) = a(u,y,K(x,u * z)). a(x,y,K(z,x * u)) = a(z,y,K(u,x)). x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). a(x,y,K(z,u)) = a(z \ 1,y,K(x,u)). a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). a(x,y,K(z,u)) = a(u,y,K(x,z * u)). a(x,y,K(z,u * x)) = a(z,y,K(u,x)). a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ u)). a(x,y,K(z,u \ w)) = a(T(u,z) \ w,y,K(x,z)). a(T(x,y) \ z,u,K(w,y)) = a(w,u,K(y,x \ z)). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(u,z))). x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. a(x,y,K(x \ z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z,u \ x)) != w | a(z,y,K(x,u)) = w. a(x,y,K(z,x \ u)) != w | a(z,y,K(u,x)) = w. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). x * a(y,z,K(u,x)) = T(x,a(u,z,y)). x * a(x,y,K(z,u)) = T(x,a(u,y,z)). x * a(y,z,K(u,x)) != w | T(x,a(u,z,y)) = w. x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. a(x,y,K(z,u)) * (u * w) = T(u,a(z,y,x)) * w. (x * y) * a(z,u,K(w,y)) = x * T(y,a(w,u,z)). (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). a(x,y,K(z,u)) * (u * w) != v5 | T(u,a(z,y,x)) * w = v5. a(x,y,K(z,u)) * (x * w) != v5 | T(x,a(u,y,z)) * w = v5. (x * y) * a(y,z,K(u,w)) != v5 | x * T(y,a(w,z,u)) = v5. (K(x,y) * (T(z,u) * w)) * a(x,T(z,u),K(w,y)) = (T(T(z,K(y,x)),u) * K(x,y)) * w. ((x * y) / a(y,z,K(u,x))) \ (y * x) = K(y,x) * a(K(y,x),z,u). a(x,y,K(y \ z,T(u,y))) * (K(x,T(u,y)) * z) = (y * K(x,u)) * (y \ z). x * (a(x,y,K((K(x,z) * y) \ u,z)) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). x * (a(x,K(y,x) * z,K(z \ u,y)) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). x != K(y,a(z,u,w)) | K(y,L(w,u,z) \ w) = x. K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). a(x,y \ z,K(u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,y \ z,K(u,y)). 1 = K(a(x,x,y),z). K(a(x,x,y),z) = 1. (x / y) * a(z,u,K(y,w)) = x / T(y,a(w,u,z)). K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. a(a(x,x,y),z,K(u,w)) = 1. T(a(x,x,y),z) = a(x,x,y). x \ x = a(a(y,y,z),u,K(w,v5)). a(a(x,x,y),z,K(u,w)) = v5 \ v5. x != a(y,y,z) | a(y,y,T(z,u)) = x. a(x,x,T(y,z)) = T(a(x,x,y),u). T(a(x,x,y),z) = a(x,x,T(y,u)). T(x,a(y,y,z)) = x. x * a(y,y,z) = a(y,y,z) * x. a(x,x,y) * z = z * a(x,x,y). x / a(y,y,z) != u | a(y,y,z) \ x = u. a(x,x,y) / z = z \ a(x,x,y). (L(a(x,x,y),z,u) \ 1) * (w * a(x,x,y)) = a(x,x,y) * ((L(a(x,x,y),z,u) \ 1) * w). x != a(y,y,z) \ u | u / a(y,y,z) = x. a(x,x,y) \ z != u | z / a(x,x,y) = u. a(x,x,y) * z != u | z * a(x,x,y) = u. x != y * a(z,z,u) | a(z,z,u) \ x = y. x * a(y,y,z) != u | a(y,y,z) \ u = x. L(a(x,x,y),z,z \ u) * u = (u / z) * (z * a(x,x,y)). K(x,y) * a(K(x,y),z,u) = L(K(x,y),z,u). K(x,y) * ((z * u) * a(u,z,K(y,x))) = (K(x,y) * z) * u. a(x,y,K(z,u)) * u != w | T(u,a(z,y,x)) = w. a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). a(x,x,y) * (z * K(u,w)) = (a(x,x,y) * z) * K(u,w). (a(x,x,y) * z) * K(u,w) = a(x,x,y) * (z * K(u,w)). a(x,x,T(y,z)) != u | a(x,x,y) = u. x * R(x \ 1,y,z) != u | a((y * z) \ (x \ (y * z)),y,z) = u. a((x * y) \ (a(z,z,u) \ (x * y)),x,y) = R(a(z,z,u) \ 1,x,y) * a(z,z,u). x * (y * R(y \ (x \ y),z,u)) != w | (x * R(x \ 1,z,u)) * y = w. (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * R(w \ (a(x,x,y) \ w),z,u)) * a(x,x,y). (x * R(x \ (a(y,y,z) \ x),u,w)) * a(y,y,z) = (a(y,y,z) * R(a(y,y,z) \ 1,u,w)) * x. ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = (z * a(x,x,y)) \ ((z * (a(x,x,y) * u)) / u). R(x,a(y,y,z),u) = (a(y,y,z) * u) \ T((a(y,y,z) * x) * u,x). (a(x,x,y) * z) \ T((a(x,x,y) * u) * z,u) = R(u,a(x,x,y),z). (x * a(y,y,z)) * a(a(y,y,z),u,w) = a(y,y,z) * (x * a(a(y,y,z),u,w)). a(x,x,L(T(y,z),u,w)) != v5 | a(x,x,L(y,u,w)) = v5. a(x,x,y / z) != u | a(x,x,z \ y) = u. a(x,y * K(z,u),K(u,z) / y) != w | a(y * K(z,u),y * K(z,u),x) = w. a(R(x,y,z),y,y \ 1) != u | a(y,y,(y * z) \ (x * z)) = u. a(x,x,x \ y) != z | a(x,x,y) = z. a(x,x,(y \ x) \ 1) != z | a(x,x,y) = z. a(x,y \ 1,(y \ 1) \ x) != z | a(y,y,x) = z. L(a(x,x,y),z \ 1,u) != w | a(x,x,R(y,z,u \ 1)) = w. R(a(x,x,y),z,u \ 1) != w | a(x,x,L(y,z \ 1,u)) = w. a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z \ y,u)) = a(u,z,K(x,z \ y)). x != a(y,z,K(u,w)) | a(w,z,K(y,u)) = x. a(x,y,K(z,u)) = a(x,u \ y,K(z,u)). a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). x * a(x,y,K(z,u)) = T(x,a(u,z \ y,z)). T(x,a(y,z \ u,z)) = x * a(x,u,K(z,y)). a(x,y,K(z,u)) = a(x,y,K(z,x * u)). a(x,y,K(z,x * u)) = a(x,y,K(z,u)). (x * (y * a(x,z,u))) * a(u,z,K(y,x)) = L(a(x,z,u),y,x) * (x * y). K(x,L(y,z,u \ 1)) * a(x,z,K(u,y)) = K(x,y). T(x,a(y,z,u) \ x) = T(x,a(u,z,y)). T(T(x,a(y,z,u)),y) = T(x,L(y,z,u)). x * a(x,y \ z,K(u,y)) = T(x,(y * ((y \ z) * u)) \ (z * u)). T(x,(y * ((y \ z) * u)) \ (z * u)) = x * a(x,y \ z,K(u,y)). x * a(x,y,K(z,L(u,w,v5))) = T(x,a(u,y,L(z,w,v5))). K(x \ L(x,y,z),u) = a(u,y,K(x,z)). K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). a(x,y,K(z,u)) != w | K(z \ L(z,y,u),x) = w. L(x,y,z) * a(u,y,K(x,z)) != w | x * T(x \ L(x,y,z),u) = w. T(x,a(y,z,u) \ 1) = T(x,a(u,z,y)). T(T(x,a(y,z,u)),a(u,z,y)) = x. T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). T(x,y) != T(z * u,L(y,z,u)) | z * u = x. x * y = T(x * y,a(z,x,y)). T(x * y,a(z,x,y)) = x * y. T(x * L(y,x,z),a(z,x,L(y,x,z))) != u | a(z,x,L(y,x,z)) \ (x * y) = u. a(x,y,L(z,y,x)) \ (y * z) = y * L(z,y,x). a(x,y,z) * (y * z) = (y * z) * a(x,y,z). T(x,(y * z) \ (y * L(z,y,u))) = T(x,a(L(z,y,u),y,u)). T(x,a(L(y,z,u),z,u)) = T(x,(z * y) \ (z * L(y,z,u))). T(T(x,y),a(y,z,u)) = T(x,L(y,z / u,u)). a(x,y,K(z \ u,z)) != w | a(u,y,K(z,x)) = w. (x \ 1) \ (a(x \ 1,x \ 1,y) \ 1) != z | a(x \ 1,x \ 1,y) \ x = z. a(x,x,L(y,z,y * x) \ 1) != u | a(x,x,y \ 1) = u. L(a(x,x,y \ 1),z,u) != w | a(x,x,L(y,z,u) \ 1) = w. a(x,x,((y * x) \ z) \ 1) != u | a(x,x,((x * y) \ z) \ 1) = u. a(x,x,L(y \ z,x,y) \ 1) != u | a(x,x,((y * x) \ z) \ 1) = u. a(x,y,K(z,u \ w)) != v5 | a(z,y,K(x,w \ u)) = v5. a(L(x,x * y,z),u,K(w,v5)) != v6 | a(L(x,y,z),u,K(w,v5)) = v6. a(x,x \ y,(y \ x) * x) != z | x \ L(x,y \ x,y) = z. x \ L(x,y \ x,y) = a(y,x \ y,x). (x * y) \ L(x * y,y,x) = a(x,(x * y) \ x,x * y). a(x,(x * y) \ x,x * y) = (x * y) \ L(x * y,y,x). x \ L(x,(y * x) \ x,y * x) = a(y * x,T(y,x),x). (x \ 1) \ L(x \ 1,(x / y) \ 1,y \ 1) = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). 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))). (T(x,y) * z) / a(y \ x,y,z) != u | (y \ x) * (y * z) = u. (x \ y) * (x * K(z,u)) = (T(y,x) * K(z,u)) * a(u,x,K(z,x \ y)). (T(x,y) * K(z,u)) * a(u,y,K(z,y \ x)) = (y \ x) * (y * K(z,u)). x \ (L(y,a(z,u,K(w,v5)),x) * (x * a(z,u,K(w,v5)))) = a(v5,u,K(w,z)) \ T(y,x * a(z,u,K(w,v5))). R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = L(a(u,y,K(z,x)) * 1,w,v5) \ 1. K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). K(x,y) * a(x,z,K(y,u \ w)) = K(x,L(y,z,w \ u)). K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(x,L(K(y,z),u,w \ 1)). K(x,K(y,z)) * a(K(z,x),u,K(w,y)) = K(K(z,x),L(y,u,w)). K(x,L(y,z,u \ 1)) * a(x,w,K(u,y)) = K(x,L(L(y,z,u \ 1),w,u)). K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,z,a(u,w,v5))). K(x,y) * a(x,z,1) = K(x,L(y,z,a(u,w,w))). K(x,L(y,z,a(u,w,w))) = K(x,y) * a(x,z,1). K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,y \ ((u \ y) * w))). K(x,L(y,z,y \ ((u \ y) * w))) = K(x,y) * a(x,z,K(u \ w,y)). x != K(y,L(z,u,w)) | K(y,L(z,z \ u,w)) = x. K(x,L(y,y \ z,u)) = K(x,y) * a(y,z,K(x,u)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,y \ z,u)). K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,w \ (w / u))). K(x,L(y,z,u \ (u / w))) = K(x,y) * a(y,z,K(w,x)). a(x,y,K(z,u)) * K(x,L(z,y,u)) = K(x,z). L(K(x,y),z,u) = a(x,z,K(u,y)) * K(x,y). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). x != K(y,L(K(z,u),w,v5)) | K(z,K(u,L(y,w,v5))) = x. K(x,K(y,L(z,u,w))) = a(z,u,K(w,K(x,y))) * K(z,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). K(x,K(y,L(z,u,w))) = a(K(x,y),u,K(z,w)) * K(z,K(x,y)). a(K(x,y),z,K(u,w)) * K(u,K(x,y)) = K(x,K(y,L(u,z,w))). a(x,y,K(z,u \ (z \ w))) * K(z,x) = K(z,L(x,y,(z * u) \ w)). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,x * u)). R(K(x,y),z,u) = L(K(x,y),z,u). x != L(K(a(y,z,u),w),v5,v6) | a(y,z,K(u,L(w,v5,v6))) = x. a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). x != L(K(y,z),u,w) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = R(K(x,u),y,z). R(K(x,y),z,u) = K(L(x,z,u),y). x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,L(y,z,u)). R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w. K((x * y) / z,u) = L(K(x / (z / y),u),x,y). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). K(R(x,y,z),u) = K(L(x,y,z),u). K(x,(y * z) / (u * z)) = K(x,L(y / u,y,z)). K(x,L(y / z,y,u)) = K(x,(y * u) / (z * u)). R(K(x,T(y,z)),z,u) != w | ((z * K(x,y)) * u) / (z * u) = w. ((x * K(y,z)) * u) / (x * u) = K(y,L(T(z,x),x,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,u)) = K(x,L(y,z,u)). K(R(x,y,z),u) = K(x,L(u,y,z)). R(K(x,y),z \ 1,u) != w | K(x,L(y,z,u \ 1)) = w. K(x,L(y,z,u \ 1)) = K(x,L(y,z \ 1,u)). K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). K((x * y) / z,u) = K(x / (z / y),L(u,x,y)). K(x / (y / z),L(u,x,z)) = K((x * z) / y,u). K(x,y / (z * u)) = K(x,L((y / u) / z,u \ y,u)). K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). R(K(x,(y / z) / u),y / z,z) != w | K(x,y / (u * z)) = w. K(x,y / (z * u)) = K(x,L((y / u) / z,y / u,u)). K(x,L((y / z) / u,y / z,z)) = K(x,y / (u * z)). 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). R(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. x != K(y,L(z \ u,z,w)) | K(y,(w * z) \ (w * u)) = x. K(x,(y * z) \ (y * u)) = K(x,R(z \ u,z,y)). K(x,R(y \ z,y,u)) = K(x,(u * y) \ (u * z)). x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). K(x * y,R(T(T(z,x * y),u),x,y)) != w | K(x * y,T((z * x) * y,u)) = w. K(x * y,T((z * x) * y,u)) = K(x * y,L(T(T(z,x * y),u),x,y)). K(x * y,L(T(T(z,x * y),u),x,y)) = K(x * y,T((z * x) * y,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 * y) * z,K(u,L(T(x,y * z),y,z))) = K((x * y) * z,K(y * z,u)). x \ y != K(x,z) | T(x,z) = y. T(x,R(y,z,u)) = T(x,L(y,z,u)). K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. T((x * y) * z,R(T(x,y * z),y,z)) != u | (y * z) * R(x,y,z) = u. (x * y) * R(z,x,y) = T((z * x) * y,L(T(z,x * y),x,y)). T((x * y) * z,L(T(x,y * z),y,z)) = (y * z) * R(x,y,z). T(x,(y * z) / u) = T(x,L(y / (u / z),u / z,z)). T(x,L(y / (z / u),z / u,u)) = T(x,(y * u) / z). K(x,T(y,L(z,u,w)) * R(z,u,w)) != v5 | K(x,R(z,u,w) * y) = v5. T(x,L(y,z \ 1,u \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(w,K(u,x))) = v5. a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). a(x,y,K(z \ y,T(T(u,w),v5))) = a(T(T(u,v5),w * u),z,K(x,z \ y)). a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(w,v5,K(u \ v5,T(T(x,z),y))). x != y * a(y,z,K(u,w)) | T(y,a(w,z,u)) = x. 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)). T(x \ ((x * y) * z),y * z) = (y * z) * a(x,y,z). K(x,a(y,z,x) * z) * ((z * x) * a(y,z,x)) = L(x,z,a(y,z,x)) * (a(y,z,x) * z). ((x \ 1) * y) * ((((x \ 1) * y) * a(x,x \ 1,y)) \ 1) = a(y,x,x \ 1). T(T(x,y),a(y,z,u)) != w | T(x,L(y,z,u)) = w. T(x,L(y,z,u)) = T(x,L(y,z / u,u)). T(x,L(y,z / u,u)) = T(x,L(y,z,u)). T(x,L(y,z \ u,z)) = T(x,L(y,u,z)). K(x,L(y,z \ u,z)) = x \ T(x,L(y,u,z)). x != a(y,1 / z,K(u,K(w,v5))) | a(y,v5 / z,K(u,K(w,v5))) = x. 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))). x != a(y,z,K(u,K(w,v5))) | K(u,K(v5,L(w,z,y))) * K(u,K(w,v5)) = x. K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). L(K(x,y),z,u) / K(x,y) = a(x,z,K(u,y)). a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. (K(x,y) / z) * K(u,L(w,z,K(x,y) \ 1)) = K(x,y) * ((z \ 1) * K(u,w)). T(x,y \ 1) * K(z,L(u,y,((y \ 1) \ x) \ 1)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). K(x,L(y,z,u)) = K(x,L(y,u \ z,u)). K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u)) = K(x,L(y,u * z,u)). K(x,L(y,z * u,z)) = K(x,L(y,u,z)). K(x,L(y,(z \ u) * z,z \ 1)) = K(x,L(y,T((z \ 1) * u,z),z \ 1)). K(x,L(y,T((z \ 1) * u,z),z \ 1)) = K(x,L(y,(z \ u) * z,z \ 1)). K(x,L(y,z,u)) = K(x,L(y,z * u,u)). K(x,L(y,z * u,u)) = K(x,L(y,z,u)). K(x,L(y,z,z \ u)) = K(x,L(y,u,z \ u)). K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). K(x \ (y \ z),K(u,L(w,z,y))) = K(u,K(w,(y * x) \ z)). x * K(y,L(z,x,u)) = u * ((u \ x) * K(y,z)). T(x,y \ 1) * K(z,L(u,x,y)) = y * ((x / y) * K(z,u)). K(x,L(y,y,z)) != u | K(x,y) = u. K(x,y) = K(x,L(y,z,z \ y)). K(x,L(y,z,z \ y)) = K(x,y). K(x,L(y \ z,u,y \ u)) = K(x,u \ ((u / y) * z)). x * K(y,L(z,x,u \ x)) = (x / u) * (u * K(y,z)). (x / y) * (y * K(z,u)) = x * K(z,L(u,x,y \ x)). a(x \ 1,x \ 1,y) != z | a(x,x,y) = z. a(x,x \ y,y \ (x * z)) \ ((x \ y) * ((x \ y) \ z)) = (x \ y) * L((x \ y) \ z,x \ y,x). a(x,L(x,y,z),L(u,x,L(x,y,z))) \ (x * u) = x * L(u,x,L(x,y,z)). a(x * y,z,a(z,x,y)) \ (z * (z \ R(z,x,y))) = z * L(z \ R(z,x,y),z,x * y). K(x,L(y,z,a(u,w,w))) = K(x,y) * 1. K(x,y) = K(x,L(y,z,a(u,w,w))). K(x,L(y,z,a(u,w,w))) = K(x,y). T(x,L(y,z,a(u,w,w))) = x * K(x,y). T(x,y) = T(x,L(y,z,a(u,w,w))). T(x,L(y,z,a(u,w,w))) = T(x,y). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,L(y * z,y,u)) = K(x,(y * u) / ((z \ 1) * u)). K(x,L(y / z,y,u)) * (z * u) = (z * u) * K(x,(z * u) \ (y * u)). K(x / y,L(z,x,u)) = K((x * u) / (y * u),z). K((x * y) / (z * y),u) = K(x / z,L(u,x,y)). K(L(x,y,z),u) * ((K(u,x) * y) * z) = y * z. K(x,L(T(y,z * u),z,u)) * (z * u) != w | u * (T(z,u) * K(x,y)) = w. x * (T(y,x) * K(z,u)) = (K(z,T(u,y * x)) * y) * x. (K(x,T(y,z * u)) * z) * u = u * (T(z,u) * K(x,y)). K(x,y) * (K(y,z) * u) = (K(x,y) * K(y,z)) * u. (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). K(x,L(y / z,y,u)) * (z * u) = (K(x,y / z) * z) * u. K(x,K(y,L(z,u,w))) * (u * w) = (K(z,K(x,y)) * u) * w. K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z \ u)) = w. K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / (z * (z \ u))). K(x,(y * (z \ u)) / (z * (z \ u))) = K(x,L(y / z,u,z \ u)). K(x,L((y \ z) / u,u,y)) != w | K(x,T((y * u) \ z,u)) = w. K(x,T((y * z) \ u,z)) = K(x,((y \ u) * y) / (z * y)). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x \ (y * K(z,L(u,y,x))) = (x \ y) * K(z,u). x != K(y,L(z,u,u \ z)) | K(y,z) = x. K(x / y,z) = K((x * (x \ z)) / (y * (x \ z)),z). K((x * (x \ y)) / (z * (x \ y)),y) = K(x / z,y). K(L(x,y,z),T(u,y)) * ((y * K(u,x)) * z) = y * z. R(x,y,K(z,u)) = T(x,a(u,y,z)). K(x,y) * z != K(x,L(y,u,w)) | a(y,u,K(x,w)) = z. a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = 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)). 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 / (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). a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). K(x / (y * (z \ x)),x) = K(z / y,x). K((x * (y \ z)) \ z,z) = K(y / x,z). K((x * y) \ z,z) != u | K(y \ (x \ z),z) = u. K((x \ y) \ (z \ y),y) = K(x / z,y). K((x \ y) \ z,y) != u | K(y \ (x * z),y) = u. K(x \ (y * (z \ x)),x) = K(y / z,x). K(x \ (y \ z),z) = K((x \ z) / y,z). K((x \ y) / z,y) = K(x \ (z \ y),y). K(x \ (y * z),x) = K(y / (x / z),x). K(x / (y / z),y) = K(y \ (x * z),y). K(x / (y \ 1),z) != u | K(x * y,z) = u. K((x \ y) * z,y) = K(x \ ((z \ 1) \ y),y). K(x \ ((y \ 1) \ z),z) = K((x \ z) * y,z). (x * ((x * K(y \ (z * u),y)) / x)) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). K((x \ 1) \ y,z) != u | K(x * y,z) = u. K(x * ((y \ 1) \ z),z) = K(((x \ 1) \ z) * y,z). K(((x \ 1) \ y) * z,y) = K(x * ((z \ 1) \ y),y). K(L(x,y,z),u) = K(L(x,y,x \ z),u). K(L(x,y,x \ z),u) = K(L(x,y,z),u). K(x,L(y,z,u)) = K(L(x,z,x \ u),y). K(L(x,y,x \ z),u) = K(x,L(u,y,z)). K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). x != R(a(y,z,K(u,w)),v5,v6) | K(y,L(a(w,z,u),v5,v6)) = x. K(x,L(a(y,z,u),w,v5)) = a(x,z,K(u,L(y,w,v5))). a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) / (K(x,y) * K(z,x))). K((x \ y) * z,y) != u | K(y * (x \ z),y) = u. K(x * ((y \ 1) \ z),x) = K(y * ((z \ 1) \ x),x). K(x * ((y \ 1) \ z),z) = K(z * ((x \ 1) \ y),z). x != K(y,L(z,y,u)) | K(y,z) = x. K(x,a(y,z,u)) = a(x,z,K(u,L(y,x,w))). a(x,y,K(z,L(u,x,w))) = K(x,a(u,y,z)). a(x,y,K(z,L(u,x,w))) != v5 | a(x,y,K(z,u)) = v5. x != K(y * ((z \ 1) \ u),y) | K(z * (y * u),y) = x. K(x * (y * z),y) = K(x * ((z \ 1) \ y),y). K(x * ((y \ 1) \ z),z) = K(x * (z * y),z). a(x,x,L(y / z,u,w)) != v5 | a(x,x,L(z \ y,u,w)) = v5. K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). K(x,L(y / z,u,y \ u)) = K(x,u / (z * (y \ u))). K(x,L(y / (y / z),u,w)) != v5 | K(x,T(L(z,u,w),y)) = v5. K(x,T(L(y,z / u,u),z / u)) = K(x,z / (((z / u) / y) * u)). K(x,y) * (T(z,u) * w) = K(L(z,w,K(x,T(y,T(z,u) * w))),u) * ((z * w) * K(x,T(y,T(z,u) * w))). K(L(x,y,K(z,T(u,T(x,w) * y))),w) * ((x * y) * K(z,T(u,T(x,w) * y))) = K(z,u) * (T(x,w) * y). K(L(x,K(y,T(z,x)),u),w) * ((K(y,z) * x) * u) = (T(x,w) * K(y,T(z,x))) * u. T(x,y / (z / x)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,y / (z / x)). x != T(y,z / (u / y)) | T(y,z / (y \ u)) = x. T(x,y / (x \ z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,y / (x \ z)). x / (y \ T(x,z / (x \ u))) = K(u \ (z * x),T(x,z)) * y. T(a(x,y,z),x \ ((x * y) * z)) = a(x,y,z). x != a(y,z,u) | (z * u) \ (y \ ((y * z) * u)) = x. (x * y) \ (z \ ((z * x) * y)) = T(a(z,x,y),z \ ((z * x) * y)). T(a(x,y,z),x \ ((x * y) * z)) = (y * z) \ (x \ ((x * y) * z)). (x / y) * (K(z,u) * y) = x * K(z,L(T(u,y),x,y \ x)). x * K(y,L(T(z,u),x,u \ x)) = (x / u) * (K(y,z) * u). a(x,y,K(y * z,u)) * K(x,(y * u) / ((z \ 1) * u)) = K(x,y * z). K(x,L(T(y,z),z,u)) * ((z * K(y,x)) * u) = z * u. K(x,L(y / T(z,y),u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. K(x,L(y \ z,u,z \ u)) = K(x,u / (T(y,z) * (z \ u))). K(x,y / (T(z,u) * (u \ y))) = K(x,L(z \ u,y,u \ y)). K(x,L(T(y,z),z,(z * K(y,x)) \ u)) * u = z * ((z * K(y,x)) \ u). K(x,T(y * z,u)) = K(x,T((y * K(w,x)) * z,u)). K(x,T((y * K(z,x)) * u,w)) = K(x,T(y * u,w)). 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,T((T(x,y) \ z) * u,w)) = K(x,T((x \ z) * u,w)). K(x,y \ ((z / ((u \ 1) \ 1)) * w)) = K(x,y \ ((z / u) * w)). K(x,L(y,z,a(u,u,w))) = K(x,y). T(x,a(L(y,z,u),w,v5)) = T(x,a(y,w,L(v5,z,u))). x != (y * z) \ L(y * z,z,y) | a(y,z,y * z) \ 1 = x. a(x,y,x * y) \ 1 = a(x,(x * y) \ x,x * y). a(x,(x * y) \ x,x * y) = a(x,y,x * y) \ 1. a(x,x \ (x / y),x * y) = a(x,y,x * y) \ 1. a(x,x \ (y \ x),x * y) = a(x,y,x * y) \ 1. x \ L(x,x \ (y \ x),y * x) = a(y * x,T(y,x),x). K(x,y) * a(x,z,K(y,u)) != w | K(x,L(y,z,u \ 1)) = w. K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,(w * u) \ w)). K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). K(x,L(y,z,(z * u) \ z)) = K(x,L(y,z * u,u \ 1)). K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,(z * u) \ z)). K(x,L(y / z,u,y \ u)) != w | K(x,u / (z * (y \ u))) = w. K(x,y / (z * ((y * u) \ y))) = K(x,L((y * u) / z,y,u \ 1)). K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * ((y * z) \ y))). K(x,(((y * z) \ y) * u) \ w) = K(x,L(u \ (((y * z) \ y) \ w),u,z \ 1)). K(x,L(y \ (((z * u) \ z) \ w),y,u \ 1)) = K(x,(((z * u) \ z) * y) \ w). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). T(x,(K(y,T(z,u * (w \ a(v5,v6,v5)))) * u) * (w \ a(v5,v6,v5))) = T(x,w \ (T(u,w \ a(v5,v6,v5)) * K(y,z))). K(x,T(y,z \ (T(u,z \ 1) * K(w,v5))) * ((z \ 1) * (T(u,z \ 1) * K(w,v5)))) = K(x,((K(w,T(v5,u * (z \ 1))) * u) * (z \ 1)) * y). T(K(x,T(y,z)) * (z / u),u) = T(z / u,u) * K(x,y). T(K(x,y) * z,u) = T(z,u) * K(x,T(y,z * u)). T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). x \ T(K(y,z) * x,u) = K(x,u) * K(y,T(z,x * u)). K(x,y) * K(z,T(u,x * y)) = x \ T(K(z,u) * x,y). K(x,T(y / ((z * u) * ((z * u) \ u)),z * u)) = K(x,(u * K(z \ 1,z * u)) \ (((z * u) \ u) * (y / ((z * u) \ u)))). K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / ((z * y) \ y)))) = K(x,T(u / ((z * y) * ((z * y) \ y)),z * y)). x != K(y,((z \ u) * z) / w) | K(y,T(u,z) / w) = x. K(x,T(y,z) / (u * z)) = K(x,T((z * u) \ y,u)). K(x,T((y * z) \ u,z)) = K(x,T(u,y) / (z * y)). K(x,T(T(y,z) \ u,T(y * z,z \ 1))) = K(x,T(u,(z * y) \ y) / (T(y * z,z \ 1) * ((z * y) \ y))). K(x,T(y,(z * u) \ u) / (T(u * z,z \ 1) * ((z * u) \ u))) = K(x,T(T(u,z) \ y,T(u * z,z \ 1))). K(x,T((T(x,y) \ z) * u,y)) != w | K(T(x,y),z * (T(x,y) \ u)) = w. K(T(x,y),z * (T(x,y) \ u)) = K(x,T((x \ z) * u,y)). x != K(y,L(z,u,(w * v5) \ w)) | K(y,L(z,u,v5 \ 1)) = x. K(x,L(y,z,u \ 1)) = K(x,L(y,z * u,u \ 1)). K(x,L(y,z * u,u \ 1)) = K(x,L(y,z,u \ 1)). K(x / y,L(z,x,u)) != w | K((x * u) / (y * u),z) = w. K(((x * y) * (y \ 1)) / (z * (y \ 1)),u) = K((x * y) / z,L(u,x,y \ 1)). T(K(x,T(y,z)) * (z / u),u) = (u \ z) * K(x,y). (x * ((x \ y) * K(z,u))) / x = K(z,T(u,y)) * (y / x). K(x,T(y * (T(x,z) \ u),z)) = K(x,T((x \ y) * u,z)). (x * K(y,L(z,x,u))) / u = K(y,T(z,x)) * (x / u). (K(x,L(y,z,u)) * z) / u = K(x,T(T(y,z),z)) * (z / u). K(x,T(y * (x \ z),u)) = K(x,T((x \ y) * z,u)). K(x,T((x \ y) * z,u)) = K(x,T(y * (x \ z),u)). x / (K(y,T(z * (y \ u),w)) * x) = K(T((y \ z) * u,w),y). x != a(y,z \ u,K(w,z)) | a(w,u,K(z,y)) = x. a(x,y,K(z,u)) = K(u,((z \ y) * x) \ (z \ (y * x))). K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,z,K(y,x)). K(x,(y \ (z * u)) / T((y \ z) * u,((y \ z) * u) \ (y \ (z * u)))) = a(u,z,K(y,x)). T(x,((y \ z) * u) \ (y \ (z * u))) = x * a(u,z,K(y,x)). K(x,y) * (z * T(u,a(x,z,y))) = (K(x,y) * z) * u. L(T(x,a(y,z,u)),z,K(y,u)) = x. K(x,y) * (z * u) = (K(x,y) * z) * T(u,a(y,z,x)). (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). 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. L(x,y,K(z,u)) = T(x,a(u,y,z)). x != T(y,a(z,u,w)) | R(y,u,K(w,z)) = x. R(x,y,K(z,u)) = L(x,y,K(z,u)). x != T(y,a(z,u,w)) | y * a(y,u,K(w,z)) = x. x * a(x,y,K(z,u)) = L(x,y,K(z,u)). x != T(y,a(z,u,w)) | y * a(w,u,K(z,y)) = x. x * a(y,z,K(u,x)) = L(x,z,K(y,u)). x != T(y,a(z,u,w)) | y * a(z,u,K(y,w)) = x. x * a(y,z,K(x,u)) = L(x,z,K(u,y)). x != T(y,a(z,u \ w,u)) | T(y,a(z,w,u)) = x. T(x,a(y,z,u)) = L(x,u \ z,K(u,y)). L(x,y \ z,K(y,u)) = T(x,a(u,z,y)). x != T(y * z,a(u,y,z)) | y * z = x. x * y = L(x * y,x,K(y,z)). L(x * y,x,K(y,z)) = x * y. x != T(T(y,z),a(z,u,w)) | T(y,L(z,u,w)) = x. 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)). a(x,y,z) \ u = L(u / a(x,y,z),y,K(z,x)). L(x / a(y,z,u),z,K(u,y)) = a(y,z,u) \ x. (x * y) * a(z,u,K(y,w)) = x * L(y,u,K(w,z)). a(L(x,y,K(z,u)),w,w \ 1) = a(x,w,w \ 1). a(x,x,L(y,z,K(u,w))) = a(x,x,y). L(L(x,y,K(z,u)),y,K(u,z)) = x. x != L(y * (z \ u),y \ 1,z) | L((z * (y \ 1)) \ u,y,y \ 1) = x. L((K(x,y) * (z \ 1)) \ u,z,z \ 1) = R(z * (K(x,y) \ u),z \ 1,K(x,y)). R(x * (K(y,z) \ u),x \ 1,K(y,z)) = L((K(y,z) * (x \ 1)) \ u,x,x \ 1). R(x,y,K(z,u)) != w | R(x,y,K(z,z * u)) = w. R(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). x \ L(x,y,K(z,u)) = a(u,y,K(x,z)). x * K(L(x,y,z) \ x,u) = L(x,y,K(u,z)). x != T(y,a(z,u,w)) | L(y,u,K(w,z)) = x. L(x,y,K(z,u)) = L(x,z \ y,K(z,u)). L(x,y \ z,K(y,u)) = L(x,z,K(y,u)). L(x,y,K(z,u)) = T(T(x,u \ 1),L(u,y,z)). T(T(x,y \ 1),L(y,z,u)) = L(x,z,K(u,y)). x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. L(x,y,K(z,u)) = L(x,z * y,K(z,u)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). L(x,y,T(z,u)) = L(L(x,y,z),y,K(z,u)). L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,y) = L(x,y,T(y,z)). L(x,y,T(y,z)) = L(x,y,y). L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5. L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). L(x,y,K(z,u)) != w | L(w,y,K(u,z)) = x. L(L(x,y,T(z,u)),y,K(u,z)) = L(x,y,z). L(x,y,T(z,u)) != L(w,y,K(z,u)) | L(x,y,z) = w. L(x,y,y \ (z * y)) != u | L(x,y,z) = u. L(x,y,R(T(z,y),u,w)) != v5 | L(x,y,R(z,u,w)) = v5. L(x,x \ 1,y) = L(x,x \ 1,T(y,z)). L(x,x \ 1,T(y,z)) = L(x,x \ 1,y). L(x,x,y) = L(x,x,T(y,z)). L(x,x,T(y,z)) = L(x,x,y). L(x,x,y * z) = L(x,x,z * y). L(x,x,(y \ z) \ 1) = L(x,x,(z / y) \ 1). L(x,x,(y / z) \ 1) = L(x,x,(z \ y) \ 1). L(x,x,(y * z) * L(z,u,w)) = L(x,x,z * (y * L(z,u,w))). L(L(x,x \ 1,y),z,u) \ L(x,x \ 1,T(y,w)) = L(L(x,z,u) \ x,x \ 1,T(y,w)). L(x,y,T(z,u)) \ L(x,y,z) = a(z,y,K(L(x,y,T(z,u)),u)). a(x,y,K(L(z,y,T(x,u)),u)) = L(z,y,T(x,u)) \ L(z,y,x). L(x,y,z) * T(L(x,y,z) \ x,u) = L(x,y,K(u,z)). x != L(y * z,y,K(z,u)) | y * z = x. x * y = T(T(x * y,z \ 1),L(z,x,y)). T(T(x * y,z \ 1),L(z,x,y)) = x * y. T(x \ (T(y,z \ 1) \ x),L(z,u,w)) = x \ (L(y,u,K(w,z)) \ x). x != y * z | R(u,y,z) \ ((u * y) * z) = x. R(x,y,z) \ ((x * y) * z) = T(T(y * z,u \ 1),L(u,y,z)). T(T(x * y,z \ 1),L(z,x,y)) = R(u,x,y) \ ((u * x) * y). (x \ y) * a(y,x,z) = a(y,x,z) * (x \ y). a(x,y,z) * (y \ x) = (y \ x) * a(x,y,z). a((K(x,y) * z) \ u,w,w \ 1) = a(z \ (K(y,x) * u),w,w \ 1). T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. K(x,y) * (z * u) = ((K(x,y) * z) * u) * a(y,z,K(u,x)). ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). L(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). x * (x * K(y,z)) = (x * x) * K(y,z). (x * x) * K(y,z) = x * (x * K(y,z)). K(x,L(y,z,z)) = K(x,y). (x * (x * K(y,z))) / T(x * x,K(y,z)) = K(y,z). ((x * K(y,z)) * T(x,x * K(y,z))) / T(x * x,K(y,z)) = K(y,z). L(x,y,z) \ L(x,y,K(u,z)) = T(L(x,y,z) \ x,u). a(x,x,L(y \ 1,(z \ 1) \ 1,u)) = L(x * L(x \ 1,x,y),z,u). L(x * L(x \ 1,x,y),z,u) = a(x,x,L(y \ 1,(z \ 1) \ 1,u)). a(x,x,L(y,z \ 1,u \ 1)) = R(a(x,x,y),z,u). T(x,a(L(y,z,u),w,v5)) != v6 | T(x,a(y,w,L(v5,z,u))) = v6. T(x,a(y,z,L(u,z,u))) = T(x,(z * y) \ (z * L(y,z,u))). K(x,L(y / z,y,u)) * (z * u) = (z * K(x,z \ y)) * u. (x / (K(y,z) \ u)) * u = x * K(y,L(T(z,K(y,z) \ u),x,(K(y,z) \ u) \ x)). x * K(y,L(T(z,K(y,z) \ u),x,(K(y,z) \ u) \ x)) = (x / (K(y,z) \ u)) * u. (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). K(x,(K(y,z) * (u / w)) \ 1) = K(x,w / (K(y,L(z,u,w)) * u)). K(x,y / (K(z,L(u,w,y)) * w)) = K(x,(K(z,u) * (w / y)) \ 1). x != y * a(z,u,K(w,y)) | L(y,u,K(z,w)) = x. L(x,y,K(z,u)) = T(x,((u \ y) * z) \ (u \ (y * z))). T(x,((y \ z) * u) \ (y \ (z * u))) = L(x,z,K(u,y)). T(x,a(y,z,u)) = T(x,(z * y) \ (z * L(y,z,u))). T(x,(y * z) \ (y * L(z,y,u))) = T(x,a(z,y,u)). a(x,x,R(y,x,z)) != u | a(x,x,(x * z) \ (y * z)) = u. K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(K(z,x),L(y,u,w)). K(x,y) * a(x,z,a(u,w,K(w \ v5,y))) = K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))). K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,y) * a(x,z,a(u,w,K(w \ v5,y))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). a(K(x,y),z,K(u,w)) * K(u,K(x,y)) = K(x,K(y,L(u,z * w,w))). K(x,K(y,L(z,u * w,w))) = a(K(x,y),u,K(z,w)) * K(z,K(x,y)). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). K(x / (y \ z),y) * u = K(z \ (x * y),T(y,x)) * u. K(x \ (y * z),T(z,y)) * u = K(y / (z \ x),z) * u. K((x * y) / z,y) * u = K(x / (y \ z),y) * u. K((x * y) / z,y) = K(x / (y \ z),y). x != K(y / (z \ u),z) | K((u / y) \ z,z) = x. K((x / y) \ z,z) = K((y * z) / x,z). K((x * y) / z,y) = K((z / x) \ y,y). x != K((y / z) \ u,u) | K(u * (z / y),u) = x. K(x * (y / z),x) = K((y * x) / z,x). K((x * y) / z,y) = K(y * (x / z),y). K(x,y \ ((z / (T(u \ 1,K(u,w)) \ 1)) * v5)) = K(x,y \ ((z / u) * v5)). K(T(x * (y \ z),u),y) = K(T((y \ x) * z,u),y). K(T((x \ y) * z,u),x) = K(T(y * (x \ z),u),x). K(x * (y \ z),T(y,u)) = K(T((y \ x) * z,u),y). K(T((x \ y) * z,u),x) = K(y * (x \ z),T(x,u)). K((x \ y) * z,T(x,u)) = K(y * (x \ z),T(x,u)). L(x,x,y * z) != u | L(x,x,z * y) = u. L(x,x,L(y,z,u) * (w * y)) = L(x,x,y * (w * L(y,z,u))). a(x,y,K(z,L(u,y,T(x,u)))) = L(z,y,T(x,u)) \ L(z,y,x). T(x,L(y,z,u)) != w | T(x,R(y,z,u)) = w. T(T(x * y,z \ 1),R(z,x,y)) = R(u,x,y) \ ((u * x) * y). x != K(K(y,z),u) | K(y,K(z,u)) = x. K(x,K(y,L(z,u,w))) = K(y,K(z,x)) * a(y,u,K(x,K(w,z))). K(x,K(y,z)) * a(x,u,K(z,K(w,y))) = K(z,K(x,L(y,u,w))). x * K(y,K(z,u)) != w | x * K(z,K(y,u)) = w. a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = K(z,K(w,L(x,y,u))). a(x,y,K(z,L(u,y,x))) = L(z,y,T(x,u)) \ L(z,y,x). L(x,y,T(z,u)) \ L(x,y,z) = a(z,y,K(x,L(u,y,z))). x != a(y,z,K(u,L(w,v5,y))) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = L(z,y,T(x,u)) \ L(z,y,x). L(x,y,T(z,u)) \ L(x,y,z) = a(z,y,K(x,u)). a(x,y,K(z,u)) \ L(z,y,x) = L(z,y,T(x,u)). T(x * y,z \ 1) * R(z,x,y) = (z * x) * y. T(x * y,a(z,u,u) \ 1) * R(a(z,u,u),x,y) = (x * a(z,u,u)) * y. T(x,(y * ((y \ z) * u)) \ (z * u)) = x * a(x,z,K(u,y)). T(x,a(y,z,u)) = T(x,(y * ((y \ z) * u)) \ (z * u)). T(x,(y * ((y \ z) * u)) \ (z * u)) = T(x,a(y,z,u)). T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). K(x,(y * (z \ u)) / u) = K(x,L(y / z,u,z \ u)). K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). T(x * y,z \ ((z * x) * y)) = x * y. (x * y) / (z \ ((z * x) * y)) = (z \ ((z * x) * y)) \ (x * y). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). K(x,y) * ((z * u) * K(y,T(x,u))) = u * T(z,K(y,x) * u). K(x,y) * (z * K(y,T(x,u))) != w | T(z * K(y,K(x,u)),K(y,x)) = w. T((x * y) * K(z,K(u,y)),K(z,u)) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) != w | T(y,K(u,z) * x) = w. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. T(x,K(y,z) * u) = T(x,K(z,y) * u). ((K(x,y) * z) / K(x,y)) \ T(u * T((K(x,y) * z) / K(x,y),K(y,x)),K(y,x)) = T(u,T(K(x,y),z) * z). K(K(x,y) * z,u) = u / T(u,K(y,x) * z). x / T(x,K(y,z) * u) = K(K(z,y) * u,x). K(x,K(y,z) * u) = x \ T(x,K(z,y) * u). x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). K(K(x,y) * z,u) = K(K(y,x) * z,u). K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. x != K(y * z,T(u,z)) | K(z * y,u) = x. K(x * K(y,z),u) = K(K(z,y) * x,T(u,x)). K(K(x,y) * z,T(u,z)) = K(z * K(y,x),u). K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. K(x,y) = K(x,K(z,u) * (K(z,u) * y)). K(x,K(y,z) * (K(y,z) * u)) = K(x,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,y * (T(T(y,z),z) \ u)) = K(x,u). K(x,y * z) = K(x,T(T(y,u),u) * z). K(x,T(T(y,z),z) * u) = K(x,y * u). K(x,T(y \ z,y) * u) = K(x,(z / y) * u). K(x,T(y,z) * u) = K(x,(z * (y / z)) * u). K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). K(x,T(y \ z,z) * u) = K(x,(z / y) * u). K(x * y,T(z,y)) != u | K(y * x,z) = u. K(x * K(y,z),u) = K(x * K(z,y),u). K(x * T(y,z),u) = K((x * y) * K(z,y),u). K((x * y) * K(z,y),u) = K(x * T(y,z),u). K(x \ T(y,z),u) = K((x \ y) * K(z,y),u). K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). K(x,T(y,z) * u) != w | K(x,(z * (y / z)) * u) = w. K(x,(y * ((z \ y) / y)) * u) = K(x,(y / z) * u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x,((y * z) / y) \ u) != w | K(x,(y * (z / y)) \ u) = w. K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). K(x,((y * (z * y)) / y) \ u) != w | K(x,(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) = 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,T(y * z,z) \ u) != w | K(x,(T(y,z) * z) \ u) = w. K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). K(x,y \ z) = K(x,y \ T(T(z,u),u)). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). K(x,(y * z) \ (y * (u / y))) != w | K(x,T(u / (z * y),z)) = w. K(x,T(y / (z * u),z)) = K(x,(u * z) \ T(y,u)). K(x,K(y,y * z) * u) != w | K(x,K(z,y) * u) = w. K(x,T(y / ((z / T(u,z)) * T(u,z)),z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). x \ T(y * T(x,K(z,L(u,w,v5))),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. K(x,y * (z \ K(L(u,z,y),w))) = K(x,(K(w,u) * (z / y)) \ 1). T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. ((x * y) * a(x,z,K(u,y))) \ (y * x) = K(y,x) * a(K(y,x),z,u). K(x,K(y,z)) * a(x,u,K(z,K(w,y))) != v5 | K(z,K(x,L(y,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(y,L(K(z,x),u,w \ 1)). K(x,L(K(y,z),u,w \ 1)) = K(z,K(x,L(y,u,w))). 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))). x != K(y,z) * a(y,u,K(w,z)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u \ w)) = K(x,L(y,z,y \ ((u \ y) * w))). K(x,L(y,z,y \ ((u \ y) * w))) = K(x,L(y,z,u \ w)). K(x,L(y,z,y \ u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,(u \ y) * w)) = K(x,L(y,z,u \ w)). K(x,L(y * z,u,T(y,z) * w)) = K(x,L(y * z,u,z \ w)). K(x,L(y,z,u \ (x \ w))) = K(x,L(y,z,(x * u) \ w)). K(x,L(y,z,(x * u) \ w)) = K(x,L(y,z,u \ (x \ w))). x * K(y,L(T(z,u),u,u \ (y \ x))) = (x / (y * u)) * (T(y,z) * u). T(T(x \ (y \ x),z \ 1),L(z,u,w)) = x \ (L(y,u,K(w,z)) \ x). ((x * K(y,z)) * T(x,K(y,z))) / T(x * x,K(y,z)) = K(y,z). ((K(x,y) * z) * z) / T(z * z,K(x,y)) = K(x,y). ((x * y) * z) / T(y * z,u) != w | R(x,y,z) * K(u,y * z) = w. R(K(x,y),z,z) * K(K(x,y),z * z) = K(x,y). K(x,L(y,z,z)) * K(K(x,y),z * z) = K(x,y). K(x,y) * K(K(x,y),z * z) = K(x,y). K(x,T(y,z * z)) = K(x,y). K(x,y) * ((z * z) * x) = (z * z) * T(x,y). L(x * L(x \ 1,x,y),z,u) = a(x,x,L(y \ 1,z,u)). L(a(x,x,y \ 1),z,u) = a(x,x,L(y \ 1,z,u)). a(x,x,L(y \ 1,z,u)) = L(a(x,x,y \ 1),z,u). a(x,x,L(y,z,u) \ 1) = a(x,x,L(y \ 1,z,u)). a(x,x,L(y \ 1,z,u)) = a(x,x,L(y,z,u) \ 1). x != a(y,y,L(z \ K(z,u),w,v5) \ 1) | L(a(y,y,z),w,v5) = x. L(a(x,x,y),z,u) = a(x,x,L((y \ K(y,w)) \ 1,z,u)). a(x,x,L((y \ K(y,z)) \ 1,u,w)) = L(a(x,x,y),u,w). a(x,x,((y * x) \ z) \ 1) = a(x,x,L((y \ z) \ 1,x,y)). a(x,x,L((y \ z) \ 1,x,y)) = a(x,x,((y * x) \ z) \ 1). a(x,x,L(y \ 1,z,y * x)) != u | a(x,x,y \ 1) = u. a(x,x,L(T(y,z \ y),u,w)) = L(a(x,x,y),u,w). a(x,x,L(y,z,u)) = L(a(x,x,y),z,u). L(a(x,x,y),z,u) != w | a(x,x,L(y,z,u)) = w. x != L(a(y,z,u),y,w) | R(a(y,z,u),y,w) = x. R(a(x,x,y),x,z) = a(x,x,L(y,x,z)). a(x,x,L(y,x,z)) = R(a(x,x,y),x,z). x != L(a(y,z,u),w,y) | a(y,z,u) = x. a(x,x,y) = a(x,x,L(y,z,x)). a(x,x,L(y,z,x)) = a(x,x,y). a(x,x,R(y,z,u \ 1)) = a(x,x,L(y,z \ 1,u)). L(a(x,x,y) \ a(x,x,L(y,z,u)),w,a(x,x,y)) = a(x,x,y) \ L(a(x,x,y),z,u). a(x,x,(x * y) \ z) = a(x,x,y \ (x \ z)). a(x,x,L(x \ (y \ x),z,u)) = a(x,x,L(T(y \ 1,x),z,u)). a(x,x,L(T(y \ 1,x),z,u)) = a(x,x,L(x \ (y \ x),z,u)). L(x,y,y) * a(y,y,x) = x. a(x,x,y) \ y = L(y,x,x). L(x,y,y) \ x = a(y,y,x). x * L(y,x,x) = (x \ 1) \ y. L(a(x,x,y),L(y,x,x),L(y,x,x) \ z) * z = T((z / L(y,x,x)) * y,z). x \ ((x \ 1) \ y) = L(y,x,x). x * y != (x \ 1) \ L(z,x,x \ 1) | z = y. x = L(L(x,y,y \ 1),y,y). L(L(x,y,y \ 1),y,y) = x. (L(x,y,y \ 1) \ x) * (L(x,y,y \ 1) * z) = L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z). L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = (L(x,y,y \ 1) \ x) * (L(x,y,y \ 1) * z). L(x,y,y) \ (x / y) = y \ 1. L(x,y,y) \ (y \ x) = T(y \ 1,x). L(x,y,y) \ 1 = y \ ((x / y) \ 1). x \ ((y / x) \ 1) = L(y,x,x) \ 1. (L(x,y,y) \ 1) \ a(y,y,x) = x. a(x,x,L(y,x \ 1,z)) = a(x,x,L(y,x,z \ 1)). a(x,x,(x * y) \ z) != u | a(x,x,(y * x) \ z) = u. a(x,x,(y * x) \ z) = a(x,x,y \ (x \ z)). L(x * L(x \ 1,x,y),z,u) != w | a(x,x,L(y \ 1,z,u)) = w. a(x,x,R(y,z,u)) = a(x,x,L(y,z \ 1,u \ 1)). a(x,x,L(y,z \ 1,u \ 1)) = a(x,x,R(y,z,u)). a(x,x,L(y,z \ 1,u \ 1)) != w | R(a(x,x,y),z,u) = w. R(a(x,x,y),z,u) = a(x,x,R(y,z,u)). a(x,x,R(y,z,u)) = R(a(x,x,y),z,u). a(x,x,L(y,z,u \ 1)) = a(x,x,R(y,z \ 1,u)). a(x,x,R(y,z \ 1,u)) = a(x,x,L(y,z,u \ 1)). a(x,x,R(y,z,u) \ 1) = a(x,x,R(y \ 1,z,u)). a(x,x,R(y \ 1,z,u)) = a(x,x,R(y,z,u) \ 1). x != R(a(y,y,z),y,u) | a(y,y,L(z,y,u)) = x. a(x,x,L(y,x,z)) = a(x,x,R(y,x,z)). a(x,x,R(y,x,z)) = a(x,x,L(y,x,z)). a(x,x,(x * y) \ (z * y)) = a(x,x,L(z,x,y)). a(x,x,(x * y) \ z) != u | a(x,x,y \ (x \ z)) = u. a(x,x,y \ (x \ (z * y))) = a(x,x,L(z,x,y)). x != a(y,y,L(y \ z,u,w)) | a(y,y,L(z,u,w)) = x. a(x,x,L(y \ x,z,u)) = a(x,x,L(T(y \ 1,x),z,u)). a(x,x,L(T(y \ 1,x),z,u)) = a(x,x,L(y \ x,z,u)). a(x,x,L(y \ 1,z,u)) = a(x,x,L(y \ x,z,u)). a(x,x,y \ z) = a(x,x,L((z \ y) \ x,z \ y,z)). a(x,x,L((y \ z) \ x,y \ z,y)) = a(x,x,z \ y). a(x,x,L(K(y,z) / u,w,v5)) = a(x,x,L((u * K(z,y)) \ x,w,v5)). a(x,x,L((y * K(z,u)) \ x,w,v5)) = a(x,x,L(K(u,z) / y,w,v5)). a(x,x,y \ (z * x)) = a(x,x,y \ z). a(x,x,y \ x) = a(x,x,y \ 1). a(x,x,y \ 1) = a(x,x,y \ x). x != a(y,y,z) | a(y,y,y \ z) = x. a(x,x,x \ (y \ x)) = a(x,x,y \ 1). a(x,x,T(L(y,z,u) \ 1,w)) = a(x,x,L(T(y,w),z,u) \ x). x != a(y,y,z \ 1) | a(y,y \ 1,z) = x. a(x,x \ 1,y) = a(x,x,x \ (y \ x)). a(x,x,x \ (y \ x)) = a(x,x \ 1,y). a(x,x,y \ 1) != z | a(x,x,y \ x) = z. a(x \ y,y,y \ 1) = a(y,y \ 1,x). a(x,x,L(y,z,u) \ 1) = a(x,x,L(T(y,w),z,u) \ x). a(x,x,L(T(y,z),u,w) \ x) = a(x,x,L(y,u,w) \ 1). x != a(y,y,L(z,u,w) \ 1) | a(y,y,L(z \ 1,u,w)) = x. a(x,x,L(y \ 1,z,u)) = a(x,x,L(T(y,w),z,u) \ x). a(x,x,L(T(y,z),u,w) \ x) = a(x,x,L(y \ 1,u,w)). x != a(K(y,z),u,K(w,v5)) * K(w,K(y,z)) | K(y,K(z,L(w,u,v5))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u * w,w))). K(x,K(y,L(z,u * w,w))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u / w,w))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). T(T(x,y \ 1),L(y,z,u)) != w | L(x,z,K(u,y)) = w. L(x \ (y \ x),z,K(u,w)) = x \ (L(y,z,K(u,w)) \ x). a(x,x,L((y * K(z,u)) \ x,w,v5)) != v6 | a(x,x,L(y \ K(u,z),w,v5)) = v6. K(x,L(T(T(y,x),z),u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. K(x * y,L(T(z,u),x,y)) = K(x * y,T((z * x) * y,u)). K(x * y,T((z * x) * y,u)) = K(x * y,L(T(z,u),x,y)). x != K(y * z,L(u,y,z)) | K(y * z,u) = x. K(x * y,T(z,u)) = K(x * y,T((z * x) * y,u)). K(x * y,T((z * x) * y,u)) = K(x * y,T(z,u)). K(x,L(y / z,y,u)) * (z * u) != w | (z * K(x,z \ y)) * u = w. (x * K(y,x \ z)) * u = (x * u) * K(y,(x * u) \ (z * u)). (x * y) * K(z,(x * y) \ (u * y)) = (x * K(z,x \ u)) * y. R(T(x * K(y,x),z),y,u) \ ((y * x) * u) = (y * K(z,y \ (y * x))) * u. x != K(y,T(z,y) * u) | K(y,z * u) = x. K(x,y * z) = a(x,T(y,x),K(T(y,x) * z,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)). a(x,T(y,x),K(T(y,x) * z,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). a(x,y \ z,K((y \ z) * u,T(y,w))) * K(x,T((((w * y) / w) \ z) * y,K(y,w)) / ((u \ 1) * T(y,w))) = K(x,(y \ z) * u). R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = L(a(u,y,K(z,x)),w,v5) \ 1. R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(u,y,K(z,L(x,w,v5))) \ 1. x != a(y,z,K(u,w)) \ v5 | a(w,z,K(u,y)) * v5 = x. a(L(x,y,z),u,K(w,v5)) * 1 = R(a(x,u,K(w,v5)),y \ 1,z \ 1). R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(L(x,w,v5),y,K(z,u)) * 1. a(L(x,y,z),u,K(w,v5)) = R(a(x,u,K(w,v5)),y \ 1,z \ 1). R(a(x,y,K(z,u)),w \ 1,v5 \ 1) = a(L(x,w,v5),y,K(z,u)). R(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,L(u,w,v5))) = v6. a(x,y,K(z,L(u,w \ 1,v5 \ 1))) = a(L(x,w,v5),y,K(z,u)). a(x,y,K(z,L(u,w,(v5 \ 1) \ 1))) = a(L(x,w,v5),y,K(z,u)). a(x,y,K(z,L(u,w,v5))) = a(L(x,w,v5),y,K(z,u)). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,x * y,z))). a(x,y,K(z,L(u,x * w,v5))) = a(L(x,w,v5),y,K(z,u)). K(x \ L(x,y,z),L(u,w,v5)) = a(u,y,K(x,L(z,w,v5))). x != a(L(y,z,u),w,K(v5,v6)) | a(y,w,K(v5,L(v6,z,u))) = x. a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,L(u,x * w,v5))). a(x,y,K(z,L(u,x * w,v5))) = a(x,y,K(z,L(u,w,v5))). K(L(x \ L(x,y,z),u,w),v5) = a(v5,y,K(x,L(z,u,w))). K(x,((y / z) * L(z,u,w)) \ y) = a(x,u,K(z,L(w,z,y))). K(x,((y / z) * L(z,u,w)) \ y) = a(x,u,K(z,w)). ((x / y) * L(y,z,u)) * a(w,z,K(y,u)) != v5 | x * T(x \ ((x / y) * L(y,z,u)),w) = v5. K(x,L(y,z,u \ 1)) * a(x,z,K(u,y)) != w | K(x,y) = w. 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). K(x,L(L(y,z,u),z,u \ 1)) = K(x,y). K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). K(x,L(y \ (z * u),z \ y,z \ 1)) = K(x,(z \ y) \ u). (x * y) * K(z,u) = x * (y * K(z,L(u,y,x \ 1))). x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,(K(x,y) / x) \ 1))) = L(y,x,x \ 1) * K(z,u). ((x \ 1) * y) * ((x \ (1 * y)) \ 1) = a(y,x,x \ 1). ((x \ 1) * y) * ((x \ y) \ 1) = a(y,x,x \ 1). ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(y / x,y,y \ 1). ((T(x,y) \ 1) * (T(x,y) / z)) * ((x \ (x / z)) \ 1) = a(T(x,y) / z,T(x,y),T(x,y) \ 1). a(T(x,y) / z,T(x,y),T(x,y) \ 1) = ((T(x,y) \ 1) * (T(x,y) / z)) * ((x \ (x / z)) \ 1). x != a(y / z,y,u) | a(z \ y,y,u) = x. a(x \ y,y,y \ 1) = ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1). ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(x \ y,y,y \ 1). x != a(y \ z,z,z \ 1) | a(z,z \ 1,y) = x. a(x,x \ 1,y) = ((y \ x) * (x \ 1)) * ((x \ (x / y)) \ 1). ((x \ y) * (y \ 1)) * ((y \ (y / x)) \ 1) = a(y,y \ 1,x). x != K(y,L(z,u * w,w \ 1)) | K(y,L(z,u,w \ 1)) = x. K(x,L(y,z \ u,z \ 1)) = K(x,L(y,T((z \ 1) * u,z),z \ 1)). K(x,L(y,T((z \ 1) * u,z),z \ 1)) = K(x,L(y,z \ u,z \ 1)). x != K(y,z \ ((z / u) * w)) | K(y,L(u \ w,z,u \ z)) = x. K(x,L(y \ z,u,y \ u)) = K(x,u \ ((u / (T(y \ 1,K(y,w)) \ 1)) * z)). K(x,y \ ((y / (T(z \ 1,K(z,u)) \ 1)) * w)) = K(x,L(z \ w,y,z \ y)). T(x * y,a(z,z,u)) * R(a(u,z,z),x,y) = (x * a(u,z,z)) * y. (x * y) * R(a(z,u,u),x,y) = (x * a(z,u,u)) * y. a(x,y \ x,y) \ T(x * (x \ 1),y) = ((y \ x) * (x \ 1)) * y. a(x,y \ x,y) \ T(1,y) = ((y \ x) * (x \ 1)) * y. a(x,y \ x,y) \ 1 = ((y \ x) * (x \ 1)) * y. ((x \ y) * (y \ 1)) * x = a(y,x \ y,x) \ 1. a(x,y,K(z,y / u)) * (K(x,T(z,y)) * u) = (y * K(x,z)) * (y \ u). (K(x,y) / z) * K(u,L(w,z,K(y,x))) = K(x,y) * ((z \ 1) * K(u,w)). (K(x,y) / z) * K(u,L(w,z,K(y,x))) = K(x,y) * (z \ K(u,w)). K(x,L(y \ (((z * u) \ z) \ z),y,u \ 1)) != w | K(x,((u \ 1) * y) \ R(z,u,u \ 1)) = w. K(x,((y \ 1) * z) \ R(u,y,y \ 1)) = K(x,(((u * y) \ u) * z) \ u). K(x,(((y * z) \ y) * u) \ y) = K(x,((z \ 1) * u) \ R(y,z,z \ 1)). x != K(y,z \ R(u,w,w \ 1)) | K(y,z \ L(u,w,w \ 1)) = x. K(x,((y \ 1) * z) \ L(u,y,y \ 1)) = K(x,(((u * y) \ u) * z) \ u). K(x,(((y * z) \ y) * u) \ y) = K(x,((z \ 1) * u) \ L(y,z,z \ 1)). K(R(x,y,y \ 1) / (z * (y \ 1)),u) = K((x * y) / z,L(u,x,y \ 1)). x / (K((y * z) / u,L(w,y,z \ 1)) * x) = K(w,R(y,z,z \ 1) / (u * (z \ 1))). K(x,R(y,z,z \ 1) / (u * (z \ 1))) = w / (K((y * z) / u,L(x,y,z \ 1)) * w). L(a(x,x,y),z,z \ u) * u != w | (u / z) * (z * a(x,x,y)) = w. (x / L(y,z,z)) * (L(y,z,z) * a(z,z,y)) = T((x / L(y,z,z)) * y,x). T((x / L(y,z,z)) * y,x) = (x / L(y,z,z)) * (L(y,z,z) * a(z,z,y)). T((x / L(y,z,z)) * y,x) = (x / L(y,z,z)) * y. R(T(x * K(y,x),z),y,u) \ ((y * x) * u) = (y * K(z,x)) * u. (x * y) \ ((x * K(z,u)) * y) = K(z,(x * y) \ ((x * u) * y)). K(x,(y * z) \ ((y * u) * z)) = (y * z) \ ((y * K(x,u)) * z). (((((x * K(y,z)) * u) / (x * u)) \ 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)) = L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)). x != K(y,L(z \ u,w,v5)) | K(y,L((z \ 1) * u,w,v5)) = x. K(x,L((y \ 1) * z,u,y \ u)) = K(x,u \ ((u / (T(y \ 1,K(y,w)) \ 1)) * z)). K(x,y \ ((y / (T(z \ 1,K(z,u)) \ 1)) * w)) = K(x,L((z \ 1) * w,y,z \ y)). a(T(x,y) / z,T(x,y),x \ (x / z)) != u | a(T(x,y),T(x,y),T(x,y) / z) = u. (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). T(T(x,K(y,z)),K(y,u)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). R(x * (K(y,z) \ u),x \ 1,K(y,z)) = L((K(y,z) / x) \ u,x,x \ 1). R(x * (K(y,z) * u),x \ 1,K(z,y)) = L((K(z,y) / x) \ u,x,x \ 1). L(x * (K(y,z) * u),x \ 1,K(z,y)) = L((K(z,y) / x) \ u,x,x \ 1). L((K(x,y) / z) \ u,z,z \ 1) = L(z * (K(y,x) * u),z \ 1,K(x,y)). x * (a(x,y,K(z,u \ (K(x,z) * y))) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). x * (a(x,K(y,x) * z,K(y,u \ z)) \ u) = T(x,y) * ((K(x,y) \ z) * (z \ u)). x * K(y,L(T(z,u),x,(K(y,z) \ u) \ x)) = (x / (K(y,z) \ u)) * u. x * K(y,L(T(z,u),x,(K(z,y) * u) \ x)) = (x / (K(y,z) \ u)) * u. K(x,y \ ((y / ((z \ 1) \ 1)) * u)) = K(x,L((z \ 1) * u,y,z \ y)). K(x,L((y \ 1) * z,u,y \ u)) = K(x,u \ ((u / ((y \ 1) \ 1)) * z)). a(x \ T(y,z),T(y,z),y \ (y / x)) != u | a(T(y,z),T(y,z),T(y,z) / x) = u. (x \ 1) \ L(x \ 1,(y \ x) \ 1,y \ 1) = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,y \ x)). L(a(x,x,y) \ a(x,x,L(y,z,u)),w,a(x,x,y)) = a(x,x,y) \ a(x,x,L(y,z,u)). K(L(x,y,z \ 1),(y * z) / u) = K(x,R(y,z,z \ 1) / (u * (z \ 1))). K(x,L((y * z) / u,y,z \ 1)) = K(x,R(y,z,z \ 1) / (u * (z \ 1))). x != K(y,R(z,u,u \ 1) / w) | K(y,L(z,u,u \ 1) / w) = x. K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,L((y * z) / u,y,z \ 1)). K(x,L((y * z) / u,y,z \ 1)) = K(x,L(y,z,z \ 1) / (u * (z \ 1))). (x \ 1) \ (R(x,y \ x,y) \ 1) = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (y \ 1) \ (R(y,x \ y,x) \ 1). x != (y \ 1) \ (z \ 1) | (z / y) \ 1 = x. (R(x,y \ x,y) / x) \ 1 = a(y \ 1,(x \ 1) \ (y \ 1),x \ 1). a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (R(y,x \ y,x) / y) \ 1. a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = (y \ R(y,x \ y,x)) \ 1. a(x \ 1,(y \ 1) \ (x \ 1),y \ 1) = a(y,x \ y,x) \ 1. a(x \ 1,(x / y) \ 1,y \ 1) = a(y,x \ y,x) \ 1. K(x,y * a(z,y,x)) * ((y * x) * a(z,y,x)) = L(x,y,a(z,y,x)) * (a(z,y,x) * y). a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * L(z \ R(z,x,y),z,x * y). a(x * y,z,a(z,x,y)) \ R(z,x,y) = z * a(z,x,y). K(x,(y \ (z * u)) / L((y \ z) * u,z,K(u,y))) = a(u,z,K(y,x)). L(L(x,x \ 1,y),z,u) \ L(x,x \ 1,y) = L(L(x,z,u) \ x,x \ 1,T(y,w)). L(L(x,y,z) \ x,x \ 1,T(u,w)) = L(L(x,x \ 1,u),y,z) \ L(x,x \ 1,u). x != L(L(y,z,u),w,v5) \ L(y,z,u) | L(L(y,w,v5) \ y,z,u) = x. L(L(x,y,z) \ x,x \ 1,u) = L(L(x,y,z) \ x,x \ 1,T(u,w)). L(L(x,y,z) \ x,x \ 1,T(u,w)) = L(L(x,y,z) \ x,x \ 1,u). L((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,T(u,w)) = L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u). L(L(x \ 1,y \ 1,z \ 1) \ (x \ 1),(x \ 1) \ 1,u) = L((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,T(u,w)). K(x,y) * ((y * x) * a(z,y,x)) = L(x,y,a(z,y,x)) * (a(z,y,x) * y). L(x,y,a(z,y,x)) * (a(z,y,x) * y) = K(x,y) * ((y * x) * a(z,y,x)). x != K(y,z) * ((z * y) * u) | (y * z) * u = x. (x * y) * a(z,y,x) = L(x,y,a(z,y,x)) * (a(z,y,x) * y). L(x,y,a(z,y,x)) * (a(z,y,x) * y) = (x * y) * a(z,y,x). L(x,y,a(z,y,x)) * (y * a(z,y,x)) = (x * y) * a(z,y,x). a(x,y,y \ 1) * (((y \ 1) * x) \ z) = ((y \ 1) * x) \ (a(x,y,y \ 1) * z). ((x \ 1) * y) \ (a(y,x,x \ 1) * z) = a(y,x,x \ 1) * (((x \ 1) * y) \ z). ((x \ 1) * y) \ (a(x,x,y) * z) = a(y,x,x \ 1) * (((x \ 1) * y) \ z). a(x,y,y \ 1) * (((y \ 1) * x) \ z) = ((y \ 1) * x) \ (a(y,y,x) * z). a(x,x,y) * (((x \ 1) * y) \ z) = ((x \ 1) * y) \ (a(x,x,y) * z). ((x \ 1) * y) \ (a(x,x,y) * z) = a(x,x,y) * (((x \ 1) * y) \ z). K(x,T(y / z,z / T(u,z))) = K(x,(u * (z / u)) \ T(y,T(u,z))). K(x,T(y / z,u \ z)) = K(x,(u * (z / u)) \ T(y,T(u,z))). K(x,(y * (z / y)) \ T(u,T(y,z))) = K(x,T(u / z,y \ z)). K(x,(y * (z / y)) \ u) != w | K(x,T(z,y) \ u) = w. K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). T(x,y \ 1) * K(z,L(u,y,(x \ 1) / y)) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * (((K(z,u) \ 1) * y) \ 1). T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * ((K(u,z) * y) \ 1). T(x,y \ 1) * K(z,L(u,y,y \ (x \ 1))) = ((y \ 1) \ x) * (y \ K(z,u)). a(T(x,y) / z,T(x,y),T(x,y) \ 1) = (T(x \ 1,y) * (T(x,y) / z)) * ((x \ (x / z)) \ 1). a(T(x,y) / z,T(x,y),T(x,y) \ 1) = ((z \ x) * (x \ 1)) * ((x \ (x / z)) \ 1). x != ((y \ z) * (z \ 1)) * ((z \ (z / y)) \ 1) | a(z,z \ 1,y) = x. a(x,x \ 1,y) = a(T(x,z) / y,T(x,z),T(x,z) \ 1). a(T(x,y) / z,T(x,y),T(x,y) \ 1) = a(x,x \ 1,z). a(T(x,y) / z,T(x,y),T(x,y) \ 1) != u | a(T(x,y) / z,T(x,y),x \ (x / z)) = u. a(T(x,y) / z,T(x,y),x \ (x / z)) = a(x,x \ 1,z). a(x / y,x,z) != u | a(y \ x,x,z) = u. a(x \ T(y,z),T(y,z),y \ (y / x)) = a(y,y \ 1,x). a(x,x,y \ 1) = a(y \ T(x,z),T(x,z),x \ (x / y)). a(x \ T(y,z),T(y,z),y \ (y / x)) = a(y,y,x \ 1). a(x,x \ y,y \ (x * z)) \ z = (x \ y) * L((x \ y) \ z,x \ y,x). a(x,x \ y,y \ (x * z)) \ z = (x \ y) * (y \ (x * z)). (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,x * K(y,x)))) = L(y,x,x \ 1) * K(z,u). (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,T(x,y \ x)))) = L(y,x,x \ 1) * K(z,u). (x * K(y \ (z * u),T(y,x))) \ T(x,(z / (((y \ (z * u)) * y) / u)) \ 1) = K(y,z / (y / u)). (K(x \ (y * z),x) * u) \ T(u,(y / (((x \ (y * z)) * x) / z)) \ 1) = K(x,y / (x / z)). (K(x \ (y * z),x) * u) \ T(u,K(x,y / (x / z)) \ 1) = K(x,y / (x / z)). (K(x \ (y * z),x) * u) \ T(u,K(y / (x / z),x) * 1) = K(x,y / (x / z)). (K(x \ (y * z),x) * u) \ T(u,K(x \ (y * z),x) * 1) = K(x,y / (x / z)). (K(x \ (y * z),x) * u) \ T(u,K(x \ (y * z),x)) = K(x,y / (x / z)). (K(x \ (y * z),x) * u) \ T(u,K(y * z,x)) = K(x,y / (x / z)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) * (K(x,z) * K(y,x))). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(x,z)) * K(y,x)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * T(u,K(x,z))) * K(y,x)). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * T(T(u,K(x,z)),K(x,y)). x != (K(y,z) * K(u,y)) * w | K(u,y) * (K(y,z) * w) = x. K(x,y) * (K(y,z) * T(T(u,K(y,x)),K(y,z))) = T(K(y,z) * K(x,y),u) * u. T(K(x,y) * K(z,x),u) * u = K(z,x) * (K(x,y) * T(T(u,K(x,z)),K(x,y))). T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). x != K(y,z) * (T(u,K(z,y)) * K(z,w)) | u * (K(z,w) * K(y,z)) = x. x * (K(y,z) * K(u,y)) = T(K(y,z) * K(u,y),x) * x. T(K(x,y) * K(z,x),u) * u = u * (K(x,y) * K(z,x)). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). K(x,K(y,z) * K(u,y)) = (K(y,z) * K(u,y)) \ T(K(y,z) * K(u,y),x). (K(x,y) * K(z,x)) \ T(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). T(x,K(y,z) * K(u,y)) = x * K(K(y,z) * K(u,y),x). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). x \ T(x,K(y,z) * K(u,y)) = K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) != w | T(T(x,K(z,u)),K(z,y)) = w. T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * 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). K(x,T(y,(z * u) \ u) / (T(u * z,z \ 1) * ((z * u) \ u))) = K(x,T(T(u,z) \ y,z * u)). K(x,T(y,z \ (u \ z)) / (T(z * u,u \ 1) * ((u * z) \ z))) = K(x,T(T(z,u) \ y,u * z)). K(x,T(y,z \ (u \ z)) / (K(z * u,u \ 1) * (K(z,u) * z))) = K(x,T(T(z,u) \ y,u * z)). K(x,T(y,z \ (u \ z)) / (K(z * u,u \ 1) * T(z,u))) = K(x,T(T(z,u) \ y,u * z)). K(x,T(y,z \ (u \ z)) / T(K(z * u,u \ 1) * z,u)) = K(x,T(T(z,u) \ y,u * z)). K(x,T(y,z \ (u \ z)) / T(z * K(u * z,u \ 1),u)) = K(x,T(T(z,u) \ y,u * z)). K(x,T(y,z \ (u \ z)) / (u \ T(z * u,u \ 1))) = K(x,T(T(z,u) \ y,u * z)). T(x,K(y,z)) \ T(u * T((K(y,z) * x) / K(y,z),K(z,y)),K(z,y)) = T(u,T(K(y,z),x) * x). T(x,K(y,z)) \ T(u * T(T(x,K(y,z)),K(z,y)),K(z,y)) = T(u,T(K(y,z),x) * x). T(x,K(y,z)) \ T(u * x,K(z,y)) = T(u,T(K(y,z),x) * x). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,T(K(y,z),x) * x). x != T(y,T(z,u) * u) | T(y,u * z) = x. T(x,y * K(z,u)) = T(y,K(z,u)) \ T(x * y,K(z,u)). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). K(x,T(y \ 1,K(z,u)) * T(w * y,K(z,u))) = K(x,T(w,y * K(z,u))). L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w) = L((R(x,y,T(z,u)) \ x) \ 1,(x \ 1) \ 1,T(w,v5)). T(x,(K(y,T(z,u / w)) * u) * (w \ a(v5,v6,v5))) = T(x,w \ (T(u,w \ a(v5,v6,v5)) * K(y,z))). K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * (u / ((z * y) \ y)))) = K(x,T(u / y,z * y)). K(x,y \ ((z \ u) * (w / (z \ u)))) != v5 | K(x,y \ T(w,u \ z)) = v5. K(x,(y * K(z \ 1,z * y)) \ T(u,y \ (z * y))) = K(x,T(u / y,z * y)). K(x,(y * K(z \ 1,z * y)) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). K(x,(y * K(z \ 1,z * y)) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z * y)). K(x,T(y,z) \ T(u,T(z,y))) != w | K(x,T(u / y,z \ y)) = w. K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. K(x,T(y,z \ u)) = K(x,T(y,u * z)). K(x,T(y,z)) = K(x,T(y,(u / z) * u)). K(x,T(y,(z / u) * z)) = K(x,T(y,u)). K(x,y) * K(y,T(x,z * u)) = K(y,K(x,z \ u)). K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,(y * z) * u) = K(x,T(u * (y * z),z * y)). K(x,T(y * (z * u),u * z)) = K(x,(z * u) * y). K((x * y) * z,u) = K(z * (x * y),T(u,y * x)). K(x * (y * z),T(u,z * y)) = K((y * z) * x,u). x != K(y,T(z \ u,u)) | K(y,u / z) = x. K(x,(y * z) / u) = K(x,T(u \ (y * z),z * y)). K(x,T(y \ (z * u),u * z)) = K(x,(z * u) / y). 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)) != w | K(x,K(y,z * u)) = w. K(x,K(y,z \ u)) = K(x,K(y,u * z)). K(x,K(y,z * u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,z * u)) = K(x,K(y,u * z)). K(x,K(y,z \ u)) = K(y,K(x,u * (x / z))). K(x,K(y,z * (y / u))) = K(y,K(x,u \ z)). K(x,K(y * z,u)) = K(x,K(u,z * y)). K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,K(y,z * u)) != w | K(x,K(u * z,y)) = w. x != K(y,K(z,u)) | K(y,K(u,z)) = x. K(x,K(y * z,u)) = K(x,K(z * y,u)). K(x,K(y,z)) = K(x,K(z,(u \ y) * u)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. K(x,K(y * z,u)) != w | K(x,K(u,z * y)) = w. K(x,K(y \ z,u)) = K(x,K(z * (y \ 1),u)). K(x,K(y * (z \ 1),u)) = K(x,K(z \ y,u)). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(T(y,z),u)) = K(x,K(y,u)). K(x,K(y,z)) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(y,z)) = K(y,K(z,T(x,u))). K(x,K(y,T(z,u))) = K(z,K(x,y)). x != K(y,K(z,u)) | K(u,K(y,z)) = x. K(x,K(y,z)) = K(y,K(x,T(z,u))). K(x,K(y,T(z,u))) = K(y,K(x,z)). K(x,K(y,z / u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). x * K(y,K(z,u)) = K(y,K(u,z)) * x. K(x,K(y,z)) * u = u * K(x,K(z,y)). K(x,K(y,T(z,u))) != w | K(z,K(x,y)) = w. K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = 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(T(y,z),L(u,w,v5))) != v6 | K(x,K(u,L(y,w,v5))) = v6. 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)) * K(x,T(z,u) / y) = K(x,y \ T(z,u)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,K(y,z \ u)) = K(u / z,K(x,y)). K(x / y,K(z,u)) = K(z,K(u,y \ x)). x * K(y,K(z,u)) = K(z,K(u,y)) * x. K(x,K(y,z)) * u = u * K(z,K(x,y)). K(x,K(y,z)) * K(z,T(x,u) \ y) = K(z,y / T(x,u)). K(x,K(y \ z,u)) = K(z / y,K(x,u)). K(x / y,K(z,u)) = K(z,K(y \ x,u)). x * K(y,K(z,u)) = K(z,K(y,u)) * x. K(x,K(y,z)) * u = u * K(y,K(x,z)). K(x,K(y,z)) * K(y,x / T(z,u)) = K(y,T(z,u) \ x). K(x,K(y,z)) * u != K(x,T(K(y,z),w)) | 1 = u. 1 = K(K(x,y),K(z,u)). K(K(x,y),K(z,u)) = 1. x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). T(K(x,y),K(z,u)) = K(x,y). K(x,T(y,K(z,u))) = K(x,y). K(T(x,K(y,z)),u) = K(x,u). T(K(x,y),z) != u | (K(y,x) * z) \ z = u. (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). K(x,y) * K(z,u) = K(z,u) * K(x,y). T(K(x,y) * z,K(z,u)) = K(x,y) * z. T(x * K(y,z),K(x,u)) = x * K(y,z). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(x,T((y * z) * u,K(y,z))) != w | K(x,T(u,z * y) * (y * z)) = w. K(x,T(y,z * u) * (u * z)) = K(x,(u * z) * y). K(x,T(L(T(y,z),u,w),z)) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z,u)) = K(x,L(T(y,K(w,v5)),z,u)). K(x,L(T(y,K(z,u)),w,v5)) = K(x,L(y,w,v5)). K(K(x,y) * z,u) = K(z * K(x,y),u). K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)). K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u / z)). K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). K(x,T(y / T(z,u),z)) = K(x,T(z,u) \ y). K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. K(K(x,y) * (z * x),u) = K(z * T(x,y),u). T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = K(x,T(y,z)) * K(z,u). T(x,y) * K(z,T(u,x)) = K(z,u) * T(x,y). K(x,T(y,z)) * T(z,u) = T(z,u) * K(x,y). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). K(x,y) \ K(y,K(x,y \ z)) = (z / y) / (z / T(y,x)). K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. K(x,K(y \ z,u)) * K(x,(z / y) / u) = K(x,u \ (z / y)). 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 \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,K(y,z)) * K(x,y \ z) != u | K(x,z / y) = u. K(x,y / z) = K(x,z \ y) * K(x,K(y,z)). K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). K(x,K(x \ y,z)) * u = u * K(x,K(z,y)). x * K(y,K(z,u)) != w | K(z,K(u,y)) * w = x. T(x,K(y,K(z,u))) = x. K(x,K(y,L(z,u,w))) * (u * w) != v5 | (K(z,K(x,y)) * u) * w = v5. (K(x,K(y,z)) * u) * w = (u * w) * K(y,K(z,L(x,u,w))). (x * y) * K(z,K(u,L(w,x,y))) = (K(w,K(z,u)) * x) * y. K(x,K(y,z)) * K(y,z \ x) != u | K(y,x / z) = u. K(x,y / z) = K(x,z \ y) * K(y,K(x,z)). K(x,y \ z) * K(z,K(x,y)) = K(x,z / y). K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(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. K(x,y) * z != T(u,x) * K(x,y) | T(u,T(x,y)) = z. T(x,T(y,K(z,u))) = T(x,y). (x * K(y,K(z,u))) * w != x * (v5 * K(y,K(z,u))) | L(v5,K(y,K(z,u)),x) = w. (x \ y) * K(z,K(u,x)) != w | T(x,K(z,u)) \ y = w. (x * y) * K(z,K(u,L(w,y,x))) = x * (K(z,K(u,w)) * y). T(x,K(y,z) * u) = T(x,u * K(y,z)). T(x * K(y,T(z,u)),K(u,K(y,z))) != w | K(y,K(z,u)) * (x * K(y,z)) = w. K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). T((x * y) \ z,K(x,y)) != u | ((y * x) \ z) * K(y,x) = u. ((K(x,y) * z) \ u) * K(K(x,y),z) = (z * K(x,y)) \ u. K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). T(x,K(y,z)) / T(u,x) = u \ T(x,K(y,z)). T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). T(K(x,y) / T(z,u),z) = T(z,u) \ K(x,y). T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. T(x,K(y,z) * (u \ 1)) = T(x,u \ K(y,z)). T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). K(x / y,K(z,u)) != w | K(y \ x,K(z,u)) = w. K(x,y) != (K(y,x) * K(z,u)) \ w | K(z,u) = w. (K(x,y) * K(z,u)) \ w != K(y,x) | K(z,u) = w. T(T(x,K(y,z)),K(x / K(y,z),u)) = K(y,z) * (x / K(y,z)). T(x * K(y,z),T(u,x)) = T(x * K(y,z),u). K(x,K(y,z) * u) = K(x,u * K(z,z * y)). K(x,y * K(z,z * u)) = K(x,K(u,z) * y). K(x,K(y,z) * u) = K(x,u * K(z,y)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). K(x,y * K(z,u)) * K(w,v5) = K(w,v5) * K(x,K(z,u) * y). K(K(x,y) * z,u) = K(z * K(y,x),u). T(K(x,y) * K(K(x,y) * z,u),z) = z \ T(K(x,y) * z,u). x != K(((y \ z) * y) / u,T(w,y \ z)) | z \ (y * ((y \ z) * K((u / y) \ (y \ z),w))) = x. x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x != K(y,T(L(z,u \ w,u),u \ w)) | w \ (u * (K(y,z) * (u \ w))) = x. x \ (y * (K(z,u) * (y \ x))) = K(z,T(L(u,y \ x,y),x / y)). K(x,T(L(y,z \ u,z),u / z)) = u \ (z * (K(x,y) * (z \ u))). T(x,(K(y,T(z,u \ w)) * w) * (u \ a(v5,v6,v5))) = T(x,u \ (T(w,u \ a(v5,v6,v5)) * K(y,z))). T(x,K(y,z) * u) = T(x,u * K(z,y)). T(x,K(y,z) * u) = T(x,u * K(z,y \ 1)). T(x,y * K(z,u \ 1)) = T(x,K(u,z) * y). x != K(y,K(z,u) * w) | y \ T(y,K(u,z) * w) = x. x \ T(x,K(y,z) * K(u,w)) = K(x,K(w,u) * K(z,y)). K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). K(x,K(y \ z,u)) * K(x,(z * (y \ 1)) / u) = K(x,u \ (z * (y \ 1))). K(x,L(T(y,T(z,u)),w,v5)) = K(x,L(T(y,z),w,v5)). K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u / z),w,v5)). K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) = K(x,v5 * T(u * K(y,z),w)). L(x,K(y,z) * u,K(u,w)) = (K(y,z) * T(u,w)) \ (K(u,w) * ((K(y,z) * u) * x)). (K(x,y) * T(z,u)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(w,K(x,y) * z,K(z,u)). (K(x,y) * T(z,u)) \ (K(z,u) * (K(x,y) * (z * w))) = L(L(w,z,K(x,y)),K(x,y) * z,K(z,u)). K(x,T(y / T(x \ z,x),x \ z)) != u | K(T(x,x \ z),(z / y) \ T(x,x \ z)) = u. K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,T(x \ y,x) \ z). K(K(x,y) * z,z) != u | K(y,K(x,z)) = u. K(x,K(y,z * y)) = K(z * T(y,x),z * y). K(x * T(y,z),x * y) = K(z,K(y,x * y)). K(K(K(x,y) * z,u) * (K(y,x) * (K(x,y) * z)),w) = K(T(z * K(x,y),u) * K(y,x),w). R(K(x,T(y,z)),T(z,u),(T(z,u) * K(x,y)) \ w) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). K(x,y \ (z * u)) * K(x,K(T(z,x) * u,y)) = K(x,(T(z,x) * u) / y). K(x \ y,K(x,z)) * u = u * K(x,K(z,y)). K(x,(y / z) \ u) * K(u,K(x,z \ y)) = K(x,u / (y / z)). T(x,(y \ z) * y) = T(x,(T(y,u) \ z) * T(y,u)). T(x,(T(y,z) \ u) * T(y,z)) = T(x,(y \ u) * y). T(K(x,y) / T(z,a(u,w,x)),z) != v5 | T(z \ K(x,y),a(u,w,x)) = v5. T(x \ K(y,z),a(u,w,y)) = T(x,a(u,w,y)) \ K(y,z). T(x * K(x * y,z),T(y,x)) != u | T(y,x) \ T(x * T(y,x),z) = u. T(x,y) \ T(y * T(x,y),z) = T(y * K(y * x,z),x). x / T(x * K(y,z),u) = K(u,x * K(y,z)) * (x / (x * K(y,z))). K(x,y * K(z,u)) * (y / (y * K(z,u))) = y / T(y * K(z,u),x). K(x,R(y,z,K(u,u * w)) \ ((y * z) * K(u,u * w))) = K(x,K(w,u) * z). x != K(y,K(z,u * z)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(z * T(x,y),z * x). K(x * T(y,z),x * y) = K(y,K(z,x)). K(x * T(x \ y,z),y) = K(x \ y,K(z,x)). K(T(x,y) * z,z * T(x,z)) = K(T(x,z),K(y,z)). K(x,K(y,z)) * K(x,y) != u | K(x,T(y,z)) = u. K(x \ y,T(x,z)) = K(x \ y,x) * K(x,K(z,y)). K(x \ y,x) * K(x,K(z,y)) = K(x \ y,T(x,z)). K(x,K(x \ y,z)) = K(x * T(x \ y,z),y). K(x * T(x \ y,z),y) = K(x,K(x \ y,z)). x != K(y,K(y \ z,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(y * T(y \ x,z),x). K(x * T(x \ y,z),y) = K(y,K(x,z)). K((x * y) * T(R(T(z,x * y),x,y),u),(z * x) * y) = K((z * x) * y,K(x * y,u)). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. x * K(y,K(z,u)) != w | K(z,K(u,y)) * x = w. K(x,K(y,z)) * u != w | u * K(y,K(x,z)) = w. T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. T(x,K(y * K(z,u),w) * v5) != v6 | T(x,v5 * K(K(u,z) * y,w)) = v6. K(x,T((y * z) * T(u,z),z * u)) = K(x,(u * z) * R(y,z,u)). K(x * K(y,z),T(u,z * y)) = K((y * z) * (x / (z * y)),u). K((x * y) * (z / (y * x)),u) = K(z * K(x,y),T(u,y * x)). K(x,T(y \ (z * (u / z)),u)) = K(x,(z * (u / z)) / y). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). K(x,T(y,z) * (u * (z / u))) = K(x,(u * (z / u)) * y). K(x,T(y,z \ u) * (u * (z \ 1))) = K(x,(u * (z \ 1)) * y). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,L(T(y,z),T(z,u),w)) * ((T(z,u) * K(y,x)) * w) = T(z,u) * w. x != T(y,(z \ u) * z) | T(y,T(u,z)) = x. T(x,T(y,z)) = T(x,(T(z,u) \ y) * T(z,u)). T(x,(T(y,z) \ u) * T(y,z)) = T(x,T(u,y)). T(x,(y \ z) * T(y,u)) = T(x,T(K(y,u) * z,y)). T(x,T(K(y,z) * u,y)) = T(x,(y \ u) * T(y,z)). K(T(x,y) * z,x * z) = K(T(x,z),K(y,z)). K(x,K(T(y,x),z)) = K(T(y,z) * x,y * x). K(T(x,y) * z,x * z) = K(z,K(T(x,z),y)). K(T(x,y) * z,x * z) = K(z,K(x,T(y,z))). x != K(y,K(z,T(u,w))) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(T(x,z) * y,x * y). K(T(x,y) * z,x * z) = K(x,K(z,y)). K(T(R(x,y,z),u) * (y * z),(x * y) * z) = K(R(x,y,z),K(y * z,u)). K(x \ (y * z),x) * K(x,K(y,z)) = K(x \ (y * z),T(x,y)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). K(x,K(y,z)) * K(z,T(x,u) / y) = K(z,y \ T(x,u)). K(x,K(y \ z,u)) * K(u,T(x,w) \ (z / y)) = K(u,(z / y) / T(x,w)). K(x \ y,K(z,x)) * K(z,(x \ y) / T(x,u)) = K(z,x \ (T(x,u) \ y)). K(x,y) \ K(z,K(y,x)) = (z / y) / (z / T(y,x)). K(x,y) * K(z,K(x,y)) = (z / x) / (z / T(x,y)). (x / y) / (x / T(y,z)) = K(y,z) * K(x,K(y,z)). x != K(y,z) * K(u,K(y,z)) | K(y,T(z,u)) = x. K(x,T(y,z)) = (z / x) / (z / T(x,y)). (x / y) / (x / T(y,z)) = K(y,T(z,x)). T(x,T((y / z) \ K(z,T(u,y)),w)) = T(x,T((y / T(z,u)) \ 1,w)). ((K(x,y) * z) \ u) * K(x,K(y,z)) = (z * K(x,y)) \ u. x \ (y * x) = T(y,K(K(z,u),w) * x). T(x,K(K(y,z),u) * w) = w \ (x * w). T(x,y) = T(x,K(K(z,u),w) * y). T(x,K(K(y,z),u) * w) = T(x,w). T(x,y * K(z,K(u,w))) = T(x,y). T(x,T(y,K(z,u)) \ w) = T(x,y \ w). T(x,y / T(z,K(u,w))) = T(x,y / z). T(x,y / z) = T(x,T(y,K(u,w)) / z). T(x,T(y,K(z,u)) / w) = T(x,y / w). x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). K(x * K(y,K(z,u)),w) = w / T(w,x). T(x,K(y,T(z,u))) = T(x,K(y,z)). T(x,y * T(z,K(u,w))) = T(x,y * z). T(x,K(y,z \ u)) = T(x,K(y,u / z)). T(x,K(y,z / u)) = T(x,K(y,u \ z)). T(x,y \ (z * K(u,w))) = T(x,y \ (K(u,w) * z)). T(x,y \ (K(z,u) * w)) = T(x,y \ (w * K(z,u))). T(x,T(y * K(z,K(u,w)),v5)) = T(x,T(y,v5)). T(T(x * y,z),x) != u | T(y * x,z) = u. T(x * K(y,T(z,u)),w) = T(T(K(y,T(z,u)) * x,w),K(y,z)). T(T(K(x,T(y,z)) * u,w),K(x,y)) = T(u * K(x,T(y,z)),w). T(x,(y * K(z,u)) \ w) = T(x,(K(u,z) \ y) \ w). T(x,(K(y,z) \ u) \ w) = T(x,(u * K(z,y)) \ w). T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)). T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). K(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = K(x,w). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. K(x,y / T(z,K(u,w))) = K(x,y / z). K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. K(x,y * T(z,K(u,w))) = K(x,y * z). K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x,y * K(z,K(u,w))) = K(x,y). K(x,K(y,z) * (y \ u)) != w | K(x,T(y,z) \ u) = w. K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,T(y,K(z,u)) * w) = K(x,y * w). K(x,(y * K(z,u)) * w) = K(x,(K(z,u) * y) * w). K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). K(x,(K(y,z) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). K(x,y \ T(z,K(u,w))) = K(x,y \ z). K(x,T(y,K(z,u)) / w) = K(x,y / w). K(x,y * z) = K(x,(K(K(u,w),v5) * y) * z). K(x,(K(K(y,z),u) * w) * v5) = K(x,w * v5). K(x,y * (z * K(u,w))) = K(x,y * (K(u,w) * z)). K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). K(x,y / (K(z,u) * w)) = K(x,y / (w * K(z,u))). K(x,y * (z * T(u,K(w,v5)))) = K(x,y * (z * u)). K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). K(x,y \ (z * K(u,w))) = K(x,y \ (K(u,w) * z)). K(x,y \ (K(z,u) * w)) = K(x,y \ (w * K(z,u))). K(x,y) = K(x * K(z,K(u,w)),y). K(x * K(y,K(z,u)),w) = K(x,w). K(K(x,K(y,z)) * u,w) = K(u,w). ((x * K(y,K(z,u))) \ w) * (K(x,(x * K(y,K(z,u))) \ w) * v5) = (w / (x * K(y,K(z,u)))) * v5. K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). K(T(x,K(y,z)) * u,w) = K(x * u,w). K((x * K(y,z)) * u,w) = K((K(y,z) * x) * u,w). K((K(x,y) * z) * u,w) = K((z * K(x,y)) * u,w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). T(x,y * T(z / u,z)) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ K(u,w))) = T(x,y * (K(u,w) / z)). T(x,y * (K(z,u) / w)) = T(x,y * (w \ K(z,u))). K(x,y / T(z,T(u,w))) = K(x,y / T(z,u)). K(x,T(y \ 1,K(z,u)) * T(w * y,K(z,u))) != v5 | K(x,T(w,y * K(z,u))) = v5. K(x,T(y,z * K(u,w))) = K(x,T(z \ 1,K(u,w)) * (y * z)). K(x,T(y \ 1,K(z,u)) * (w * y)) = K(x,T(w,y * K(z,u))). K(x,y * T(z * K(u,w),v5)) = K(x,y * T(K(u,w) * z,v5)). K(x,y * T(K(z,u) * w,v5)) = K(x,y * T(w * K(z,u),v5)). K(x,y * (K(z,u) * (w * z))) = K(x,y * (w * T(z,u))). K(x,y * T(z,u \ w)) = K(x,y * T(z,w / u)). K(x,y * T(z,u / w)) = K(x,y * T(z,w \ u)). K(x,y * ((z / u) * K(z,w))) = K(x,y * (T(z,w) / u)). K(x,y * (K(z,u) * (w \ z))) = K(x,y * (w \ T(z,u))). K(x,T(y \ 1,K(z,u)) * w) = K(x,y \ w). K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). K(x,T(y,T(z,u)) * w) = K(x,T(y,z) * w). K(x,y * (z * K(y,u))) = K(x,T(y,u) * z). K(x,L(y \ (z * K(u,w)),z * K(u,w),K(w,u))) = K(x,(K(w,u) * y) \ z). K(x,y \ T(z,T(u,w))) = K(x,y \ T(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,T(y,T(z,u)) / w) = K(x,T(y,z) / w). K(T((x * y) \ z,K(x,y)) * (y * x),u) != w | K((y * x) * (z / (x * y)),u) = w. K((x * y) * (z / (y * x)),u) = K(((y * x) \ z) * (x * y),u). K(((x * y) \ z) * (y * x),u) = K((y * x) * (z / (x * y)),u). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. K(x,K(y,T(z,u)) * w) != v5 | K(x,K(y,z) * w) = v5. K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. T(x,T(y \ K(z,K(u,w)),v5)) = T(x,T(y \ 1,v5)). 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 / T(y,T(z,u)),w) = w / T(w,x / T(y,z)). T(x,T(y,T(z,u)) / (u * (z / u))) != w | T(x,(u * (z / u)) \ y) = w. T(x,(y * (z / y)) \ u) = T(x,T(u,z) / (y * (z / y))). T(x,T(y,z) / (u * (z / u))) = T(x,(u * (z / u)) \ y). T(x,T(y,z) / z) != u | T(x,z \ y) = u. 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). K(x,K(y,z \ u) * w) = K(x,K(y,u / z) * w). K(x,K(y,z / u) * w) = K(x,K(y,u \ z) * w). K(x,((K(y,z) * u) * w) * v5) = K(x,((u * K(y,z)) * w) * v5). K(x,(y / T(z,K(u,w))) * v5) = K(x,(y / z) * v5). K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). K(x,y * (z \ (u * K(w,v5)))) = K(x,y * (z \ (K(w,v5) * u))). K(x,y * (z \ (K(u,w) * v5))) = K(x,y * (z \ (v5 * K(u,w)))). K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). K(x,(K(y,z) * (u \ K(z,y))) * w) = K(x,u \ w). K(x,T(y,z) \ z) != u | K(x,z / y) = u. K(x,T(y,z) / u) = K(x,T(u,y) \ T(y,z)). K(x,T(y,z) \ T(z,u)) = K(x,T(z,u) / y). K(x,T(T(y,T(z,u)) * w,v5)) = K((x \ v5) \ v5,T(y,z) * w). K((x \ y) \ y,T(z,u) * w) = K(x,T(T(z,T(u,v5)) * w,y)). K(x,y * (z * K(y,z))) != u | K(x,z * y) = u. K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,u)). K(x,y \ T(z * ((z / u) / z),T(z,u \ 1))) != w | K(x,y \ (u \ T(z,u \ 1))) = w. K(x,y \ (z \ T(u,z \ 1))) = K(x,y \ T(u * ((u / z) / u),u)). K(x,y \ T(z * ((z / u) / z),z)) = K(x,y \ (u \ T(z,u \ 1))). K(x,T(y,z) \ u) = K(x,T(u,y) / T(y,z)). K(x,T(y,z) / T(z,u)) = K(x,T(z,u) \ y). T(x,y / T(z * u,z)) = T(x,y / T(z * u,u \ 1)). T(x,y / T(z * u,u \ 1)) = T(x,y / T(z * u,z)). K(x,(y \ z) / T(y,u)) = K(x,T(y,u) \ (z / y)). K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. K(x,y * (K(z,u) * (w * z))) != v5 | K(x,y * (w * T(z,u))) = v5. K(x,y * ((z / u) * K(z,w))) != v5 | K(x,y * (T(z,w) / u)) = v5. K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. K(x,T(y,z / (1 / 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 | K(x,y * K(z,y)) = u. K(x,(K(y,z) * (u / z)) * w) = K(x,(u / T(z,y)) * w). K(x,(y \ K(z,u)) * w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(y \ K(u,z)) * w). K(x,y * (K(z,T(T(u,w),v5)) * (K(v5,u) * w))) = K(x,y * ((u * w) / T(T(T(u,w),v5),z))). K(x,y * ((K(z,u) * w) * v5)) = K(x,y * ((w * v5) * K(z,L(u,w,v5)))). K(x,y * ((z * u) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). 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(w,u))). K(x,y * (z * T(u,K(w,v5)))) = K(x,y * T(u * z,z \ 1)). K(x,y * T(z * u,u \ 1)) = K(x,y * (u * T(z,K(w,v5)))). K(x,y * (z * T(u,T(w,v5)))) = K(x,y * (z * T(u,w))). K(x,y * (z * ((u / w) * K(u,v5)))) = K(x,y * (z * (T(u,v5) / w))). K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * v5) * K(z,L(u,w,v5)))). K(x,y \ ((z * u) * K(w,L(v5,z,u)))) = K(x,y \ ((K(w,v5) * z) * u)). x != T(y,z * (u \ K(w,v5))) | T(y,z / (K(v5,w) * u)) = x. T(x,y / (K(z,u) * w)) = T(x,y * (K(u,z) / w)). K(x,(y / T(z,u)) \ T(T(u,z),z / y)) != w | K(x,u / (y / z)) = w. K(x,y / (z / u)) = K(x,(z / T(u,y)) \ T(T(y,u),z \ u)). K(x,(y / T(z,u)) \ T(T(u,z),y \ z)) = K(x,u / (y / z)). K(x,y \ T(z,x / y)) != u | K(x,x \ (z * (x / y))) = u. K(x,x \ (y * (x / z))) = K(x,z \ T(y,z \ x)). K(x,y \ T(z,y \ x)) = K(x,x \ (z * (x / y))). K(x,(y * ((z \ y) / y)) \ T(u,z / y)) != w | K(x,u / (z \ T(y,z \ 1))) = w. K(x,y / (z \ T(u,z \ 1))) = K(x,(u * ((z \ u) / u)) \ T(y,u \ z)). K(x,(y * ((z \ y) / y)) \ T(u,y \ z)) = K(x,u / (z \ T(y,z \ 1))). K(x / T(y,z),u) = K(x / T(y,T(z,w)),u). K(x / T(y,T(z,u)),w) = K(x / T(y,z),w). K(((x * y) / x) / T(z,T(y,x)),u) != w | K(z \ ((x * y) / x),u) = w. K(x \ ((y * z) / y),u) = K(((y * z) / y) / T(x,z),u). K(((x * y) / x) / T(z,y),u) = K(z \ ((x * y) / x),u). K(x,(y / z) / u) = K(x,K(z,z \ y) * ((z \ y) / u)). K(x,K(y,y \ z) * ((y \ z) / u)) = K(x,(z / y) / u). K(x,(y / T(z,T(u,w))) * v5) = K(x,(y / T(z,u)) * v5). K(x,T(y,z \ u)) = K(x,T(u,z) \ T(y * u,z)). K(x,T(y,z) \ T(u * y,z)) = K(x,T(u,z \ y)). K(x,T(R(T(y * z,y) / y,u,w),v5 \ v6)) = K(x,T(v6,v5) \ T(T(v6 * R(z,u,w),v6),v5)). K(x,T(y / (T(z,u) \ 1),w \ T(z \ 1,u))) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,L(y,K(z,u),w)) = K(x,(w \ K(u,z)) * (w * (K(z,u) * y))). K(x,(y \ K(z,u)) * (y * (K(u,z) * w))) = K(x,L(w,K(u,z),y)). K(x,y / (z * u)) = K(x,y * ((z * T(u,w)) \ K(u,w))). K(x,y * ((z * T(u,w)) \ K(u,w))) = K(x,y / (z * u)). K(x,T(y,z) / u) = K(x,y * (u \ K(y,z))). K(x,y * (z \ K(y,u))) = K(x,T(y,u) / z). K(x,y / (z \ T(u * z,w))) = K(x,y * (T(u,z) \ K(w,u * z))). K(x,y * (T(z,u) \ K(w,z * u))) = K(x,y / (u \ T(z * u,w))). K(x,y * (z \ K(y,(u * w) \ w))) = K(x,T(y,T(u \ 1,w)) / z). T(T(x,y * (z \ K(y,u))),K(w,T(y,u) / z)) = T(x,T(y * (z \ K(y,u)),w)). x != K(y,y \ (z * (y / u))) | K(y,z / u) = x. K(x,y / z) = K(x,z \ T(y,z \ x)). K(x,y \ T(z,y \ x)) = K(x,z / y). K(x,T(y,(z \ 1) \ x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). K(x,T(y,z) \ T(u * y,z)) != w | K(x,T(u,y * z)) = w. K(x,y * (z \ (u * K(w,v5)))) != v6 | K(x,y * (z \ (K(w,v5) * u))) = v6. K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. x \ T(x,K(y,z) * K(u,y)) != w | K(K(u,y) * K(y,z),x) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). K(K(x,y) * K(y,z),u) != w | K(u,K(y,x)) * K(u,K(y,z)) = w. K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). T(x \ K(y,z),a(u,w,y)) = L(x,w,K(y,u)) \ K(y,z). T(x,y) \ T(x * y,z) = T(y * K(y * x,z),x). T(x * K(x * y,z),y) = T(y,x) \ T(y * x,z). K(x,T(y \ (z * (u / z)),u)) = K(x,((y * (z * (u / z))) / y) / T(y,z * (u / z))). K(x,((y * (z * (u / z))) / y) / T(y,z * (u / z))) = K(x,T(y \ (z * (u / z)),u)). K(x,y * (z * ((u \ z) / z))) != w | K(x,y * (z / u)) = w. K(x,T(y,z \ u) * (u / z)) = K(x,(u * ((z \ u) / u)) * y). x != K(y,z \ T(u,w)) | K(y,z \ ((u \ w) \ w)) = x. K(x,y \ ((z \ u) \ u)) = K(z,K(y,x)) * K(x,T(z,u) / y). K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. K(x,y * (K(z,u) * (w * (z / u)))) = K(x,y * (w * T(z / u,u))). K(x,y * (K(z * u,u \ 1) * (w * (z * u)))) = K(x,y * (w * (((z * u) \ z) \ z))). K(x,y * T(T(z,u) / w,z)) = K(x,y * (w \ T(z,u))). K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (K(u,w) * z)). x != T(y,z / T(u * w,u)) | T(y,z / (w * u)) = x. T(x,y / (z * u)) = T(x,y / T(u * z,z \ 1)). T(x,y / T(z * u,u \ 1)) = T(x,y / (u * z)). T(x,y / T(z,u \ 1)) = T(x,y / (u * (z / u))). K(x,(K(y,z) * (u / z)) * w) = K(x,(u / T(z,z \ y)) * w). K(x,(y / T(z,z \ u)) * w) = K(x,(K(u,z) * (y / z)) * w). K(x,y * (K(T(z,u),w) * (v5 * T(z,u)))) = K(x,y * (T(T(z,u),w) * T(v5,z))). K(x,K(y,z) * (z / u)) != w | K(x,(y * (z / y)) / u) = w. K(x,(y * ((y \ z) / y)) / u) = K(x,(z / y) / u). K(x,(((y * z) / y) / T(u,T(z,y))) * w) != v5 | K(x,(u \ ((y * z) / y)) * w) = v5. K(x,(y \ ((z * u) / z)) * w) = K(x,(((z * u) / z) / T(y,u)) * w). K(x,(((y * z) / y) / T(u,z)) * w) = K(x,(u \ ((y * z) / y)) * w). x != K(y,K(z,u) * K(w,z)) | K(K(z,u) * K(w,z),y) = x. K(K(x,y) * K(z,x),u) = K(u,K(x,y)) * K(u,K(x,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). L(x \ K(y,z),u,K(y,w)) = L(x,u,K(y,w)) \ K(y,z). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) != v5 | a(z,u,K(x,K(w,y))) = v5. a(x,y,K(z,K(u,w))) = K(K(w,L(x,y,u)) * K(x,w),z). K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). x != K(y,K(z,u \ w)) | K(y,K(z,w / u)) = x. K(x,K(y,(z * u) / (z * w))) = K(x,K(y,L(u / w,w,z))). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). K(x * (y * K(z,T(u,w))),v5) = K(x * (y * K(z,u)),v5). K(x * (K(y,T(z * y,u)) * w),v5) = K(x * (K(y,y * z) * w),v5). K(x,(K(y,z) * u) * T(w,u)) = K(x,w * (u * K(y,z))). K(x,y * (z * (K(u,w) * (v5 \ 1)))) != v6 | K(x,y * (z * (v5 \ K(u,w)))) = v6. K(x,y * (K(z \ 1,u) * w)) != v5 | K(x,y * (w * K(u,z))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(y,(w * (z * u)) / (w * u))). K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). T(T(x,K(y,z)),K(x * K(z,y),u)) = K(y,z) * (x / K(y,z)). x != K(y \ (z * u),T(y,z)) | K(u / (z \ y),y) = x. K(x / (y \ z),z) = K(z \ (y * x),z) * K(z,K(y,x)). K(x \ (y * z),x) * K(x,K(y,z)) = K(z / (y \ x),x). T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). K(x,T(y \ 1,K(z,u)) * w) != v5 | K(x,y \ w) = v5. K(x,y \ (z * y)) = K(x,T(z,y * K(u,w))). K(x,T(y,z * K(u,w))) = K(x,z \ (y * z)). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y \ (z * u),u * z)) != w | K(x,(z * u) / y) = w. K(x,(K(y,z) * u) / w) = K(x,T(w \ (K(y,z) * u),u)). K(x,T(y \ (K(z,u) * w),w)) = K(x,(K(z,u) * w) / y). K(x,T(y,(z / u) * z)) != w | K(x,T(y,u)) = w. 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))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,T(z,w) * u)). K(x,T(y,T(z,u) * w)) = K(x,T(y,z * w)). K(x,T(y,T(z,u) \ w)) = K(x,T(y,z \ w)). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). (x * K(y,z)) \ K(u,T(w,x)) = K(u,w) / (x * K(y,z)). K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,z * u)). K(x,T(y,z \ (u * w))) = K(x,T(y,z \ (w * u))). K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x,y / (K(z,u) * w)) = K(x,T((K(z,u) * w) \ y,w)). K(x,T((K(y,z) * u) \ w,u)) = K(x,w / (K(y,z) * u)). x * K(y,T(z,K(u,w) * x)) = K(y,z) * x. K(x,y) * K(y,T(x,z)) = K(x,K(y,K(u,w) * z)). K(x,K(y,K(z,u) * w)) = K(x,y) * K(y,T(x,w)). K(x,T(y,z * u)) = K(x,T(y,(z * K(w,v5)) * u)). K(x,T(y,(z * K(u,w)) * v5)) = K(x,T(y,z * v5)). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). K(x,T(y,z \ T(u,w))) = K(x,T(y,u \ z)). x * T(K(y,z),K(u,w) * x) = K(y,z) * x. K((x * K(y,T(z,u))) * (u \ y),T(w,u \ T(y,z))) != v5 | K((u \ T(y,z)) * R(x,(u \ T(y,z)) / (u \ y),u \ y),w) = v5. K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((u * K(y,T(z,x))) * (x \ y),T(w,y \ x)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). K(x,y) \ K(x,T(y,z / (u \ w))) != v5 | K(x,K(y,z / (w / u))) = v5. K(x,T(y,z * (T(u,w) \ v5))) = K(x,T(y,z * (u \ v5))). K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,T(y,z * (u * w))). x != K(y,z) * K(z,T(y,u)) | K(y,K(z,u)) = x. 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(u,w))) = K(x,K(y,z)). K(x,K(y,z \ K(u,w))) = K(x,K(y,z)). K(x,K(K(y,z) * u,w)) = K(x,K(w,u)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). K(x,K(y,z)) * K(K(u,w) * z,y) = K(K(u,w) * z,T(y,x)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). K(x,K(y,z * u)) = K(x,K(y,z * (K(w,v5) * u))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,z / T(u,w))) = 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,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). K(x,K(y,z * (u \ 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)) * y = T(y,K(x,z * K(u,w))). T(x,K(y,z * K(u,w))) = K(y,K(x,z)) * x. K(x,K(y \ K(z,u),w)) = K(x,K(w,y)). K(x \ K(y,z),K(u,w)) = K(w,K(u,x)). K(x,K(y,z)) = K(x,K(K(u,w) * y,z)). K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). K(x,K(y \ T(z,u),w)) = K(x,K(w,z \ y)). 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(T(y,z) * u,w)) = K(x,K(y * u,w)). K(x,K((y / z) * u,w)) = K(x,K((z \ y) * u,w)). K(x,K(y,z)) = K(y,K(x * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(y,K(x,w)). K(x,K(y * (z * u),w)) = K(x,K(y * (u * z),w)). K(x,K(y * K(z,u),w)) = K(x,K(y,L(w,y * K(z,u),v5))). K(x,K(y,L(z,y * K(u,w),v5))) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,z)) * K(y,z / (x * K(u,w))) = K(y,(x * K(u,w)) \ z). K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. x != K(y,K(z,u / w)) | K(y,K(z,w / u)) = x. K(x,K(y,z / u)) = K(x,K(y,u / T(z,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,u / z)). x != K(y,K(z,u)) * z | T(z,K(y,u)) = x. T(x,K(y,z)) = T(x,K(y,z * K(u,w))). T(x,K(y,z * K(u,w))) = T(x,K(y,z)). T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). T(x,K(y,z * (u * K(w,v5)))) = T(x,K(y,z * u)). T(x,K(y,z * u)) = T(x,K(y,z * (K(w,v5) * u))). T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). T(T(x,K(y,z)),T(K(u,w) * z,y)) = T(x,K(u,w) * z). K(x,K(y \ (z * u),w)) = K(x,K(w,(u * z) \ y)). K(x,K(y,L(z,u,w))) = K(x,K(y,(w * u) / (w * (u * z)))). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,z / (u * w))) = K(x,K(y,(w * u) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. K(x,K(T(y,z) / u,w)) != v5 | K(x,K(y / u,w)) = v5. K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. K(x * K(y,z),T(u,x * w)) != v5 | K(x * K(y,z),T(u,w)) = v5. K(x,K(y,(K(z,u) * w) * v5)) = K(x,K(y,v5 * w)). K(x,K(y * (K(z,u) * w),v5)) = K(x,K(v5,y * w)). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z * ((w \ u) / v5))). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). 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 * u) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,w \ (u * z))). x != K(y,K(z,(u * (w * v5)) / (u * v5))) | K(y,K(z,L(w,v5,u))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,((z * u) * w) / (w * u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,z * u)) * K(y,(z * (u * K(w,v5))) \ x) = K(y,x / (z * (u * K(w,v5)))). K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). K(x,K(y,z * (u \ (w / v5)))) = K(x,K(y,z * (u \ (v5 \ w)))). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). K(x,K((y * z) * u,w)) = K(x,K(w,u * (z * y))). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,K(((y * z) / y) * (x \ u),w)) != v5 | K((z \ K(z,y)) \ u,K(x,w)) = v5. K((x \ K(x,y)) \ z,K(u,w)) = K(u,K((y \ (y * x)) * (u \ z),w)). K(x,K(y * L(z,u,u \ 1),w)) = K(x,K(y * ((T(u,u \ 1) * z) * (u \ 1)),w)). K(x,K(y * ((T(z,z \ 1) * u) * (z \ 1)),w)) = K(x,K(y * L(u,z,z \ 1),w)). T(T(x,K(y,z * u)),(z * (K(w,v5) * u)) \ y) = T(x,y / (z * (K(w,v5) * u))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. K(x,K(y,(z * u) * w)) = K(x,K(y,w * (T(z,v5) * u))). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). K(x,K(y,z \ u)) = K(x,K(y,u * (z \ K(w,v5)))). K(x,K(y,z * (u \ K(w,v5)))) = K(x,K(y,u \ z)). K(x,K(y * ((T(z,u) * w) * v5),v6)) = K(x,K(v6,y * ((z * w) * v5))). K(x,K(y,z / u)) != w | K(x,K(y,z / T(u,v5))) = w. K(x,K(y,(z * u) / T(w,v5))) = K(x,K(y,w \ (u * z))). x != K(y,K(z,u * w)) | K(y,K(z,u * (K(v5,v6) * w))) = x. K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,(v5 * K(v6,v7)) * z)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * (K(v6,v7) * z))). K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,z / u)) = K(x,K(y,z * (u \ K(w,v5)))). K(x,K(y,z * (u \ K(w,v5)))) = K(x,K(y,z / u)). K(x,K(y,z / (u * K(w,v5)))) = K(x,K(y,z / u)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z / (u * (v5 / w)))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). K(x,K(y,z / (u * w))) = K(x,K(y,z / (u * (K(v5,v6) * w)))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). K(x,K(y,z / u)) = K(x,K(y,(z * K(w,v5)) / u)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,z / v5)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / ((u * w) / u))) != v5 | K(x,K(y,z / w)) = v5. (x * K(T(y \ (K(z,u) * w),w),v5)) \ x = K(v5,(K(z,u) * w) / y). T(x,T(y \ (K(z,u) * w),w)) = x * K(x,(K(z,u) * w) / y). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). K(x,((K(y,z) * u) \ w) * K(u,(K(y,z) * u) \ w)) = K(x,w / (K(y,z) * u)). K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). K(x,T(y,z)) / T(z,u) != w | ((1 / z) * K(x,y)) * K(u,z) = w. ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). T(x,T(K(y,z) * u,w)) = T(T(x,K(u,w)),K(y,z) * u). T(T(x,K(y,z)),K(u,w) * y) = T(x,T(K(u,w) * y,z)). T(T(x,K(y,z \ u)),T(K(w,v5) * (u / z),y)) = T(x,K(w,v5) * (u / z)). K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = K(x,K(y,a(w,z,z \ u))). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). T(x,y) != T(z,T(y,u)) | T(z,K(y,u)) = x. T(x,K(K(y,z) * u,w)) = T(x,K(u,w)). T(T(x,K(y,z)),z \ (K(u,w) * y)) = T(x,(K(u,w) * y) / 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))). x != K(y,K(z * K(u,w),v5)) | K(y,K(z,v5)) = x. K(x,K(y,z)) = K(x,K(y,L(z,y * K(u,w),v5))). K(x,K(y,L(z,y * K(u,w),v5))) = K(x,K(y,z)). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,K((y * z) * u,w)) != v5 | K(x,K(w,u * (z * y))) = v5. K(x,y * T(K(z,u) * w,z)) = K(x,y * ((z \ w) * T(z,u))). K(x,y * (T(z,u) * K(w,v5))) = K(x,y * T(z * K(w,T(v5,z * u)),u)). K(x,y * T(z * K(u,T(w,z * v5)),v5)) = K(x,y * (T(z,v5) * K(u,w))). x != K((y * z) * (u / (z * y)),w) | K(u * K(y,z),T(w,z * y)) = x. K(x * K(y,z),T(u,z * y)) = K(((z * y) \ x) * (y * z),u). K(((x * y) \ z) * (y * x),u) = K(z * K(y,x),T(u,x * y)). K(x,T(T(y,T(z,u)) * w,v5)) != v6 | K(x,T(T(y,z) * w,v5)) = v6. x != K(y,z * (u * T(w,K(v5,v6)))) | K(y,z * (u * w)) = x. K(x,y * (z * u)) = K(x,y * T(u * z,z \ 1)). K(x,y * T(z * u,u \ 1)) = K(x,y * (u * z)). x != K(y,(z * ((u \ z) / z)) * w) | K(y,(z / u) * w) = x. K(x,(y / z) * u) = K(x,T(u,z \ y) * (y / z)). K(x,T(y,z \ u) * (u / z)) = K(x,(u / z) * y). K(x,y \ ((z \ u) \ u)) = K(z,K(y,x)) * K(x,((z \ u) \ u) / y). K(x,K(y,z)) * K(z,((x \ u) \ u) / y) = K(z,y \ ((x \ u) \ u)). x != K(y,(K(z,u) * (w / u)) * v5) | K(y,(w / T(u,z)) * v5) = x. K(x,(y / T(z,u)) * w) = K(x,(y / T(z,z \ u)) * w). K(x,(y / T(z,z \ u)) * w) = K(x,(y / T(z,u)) * w). K(x,(y / ((z \ u) \ u)) * w) = K(x,(y / T(z,u)) * w). K(x,(y / ((z \ u) \ u)) / w) = K(x,(y / T(z,u)) * (w \ K(x,v5))). x != K(y,z) * (u / K(y,z)) | T(u,K(z,y)) = x. T(x,K(y,z)) = T(T(x,K(z,y)),K(x * K(y,z),u)). T(T(x,K(y,z)),K(x * K(z,y),u)) = T(x,K(z,y)). T(T(x,K(y,z)),K(x * K(z,y),u)) != w | T(x,T(x * K(z,y),u)) = w. T(x,T(x * K(y,z),u)) = T(x,K(y,z)). K(x,T(y,(z * (u * K(w,v5))) * v6)) = K(x,T(y,v6 * (z * u))). K(x,K(y,z)) * K(K(u,w) * x,z) = K(K(u,w) * x,T(z,y)). K(x,K(y,z * ((u / w) / v5))) != v6 | K(x,K(y,((w \ u) / v5) * z)) = v6. K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,(z * (u * K(w,v5))) * v6)) = K(x,K(y,v6 * (K(v7,v8) * (z * u)))). T(x,T(y \ (K(z,u) * w),w)) != v5 | T(x,(K(z,u) * w) / y) = v5. K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. K(x,y) / (K(z,u) * y) = ((1 / y) * K(u,z)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). ((1 / x) * K(y,z)) * K(u,x) != w | (K(u,x) / x) * K(y,z) = w. (K(x,y) / y) * K(z,u) = K(x,y) / (K(u,z) * y). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). K(x,T(y,(z * u) * w)) = K(x,T(y,w * (u * z))). x * K(y,z) != K(y,T(z,u)) | K(y,K(u,z)) = x. K(K(x,y) * z,K(u,w)) = K(z,K(u,w)). K(K(x,y),K(z,u) * w) = K(w,K(x,y)). K(T(x,y) * z,K(u,w)) = K(x * z,K(u,w)). K(x \ y,K(z,u)) = K(T(x,w) \ y,K(z,u)). K(T(x,y) \ z,K(u,w)) = K(x \ z,K(u,w)). K(K(x,y) * z,K(u,w)) != v5 | K(u,K(w,z)) = v5. K(K(x \ y,z),K(z,x \ y) * u) != w | K(y \ (x * T(x \ y,z)),(x * T(x \ y,z)) \ (y * u)) = w. K(x \ (y * T(y \ x,z)),(y * T(y \ x,z)) \ (x * u)) = K(u,K(y \ x,z)). K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,T(L(y,z / u,u),z / u)) = z \ (u * (K(x,y) * (u \ z))). K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (K(u,w) * z)) = v6. K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,T(L(y,z / u,u),z / u)) != w | K(x,z / (((z / u) / y) * u)) = w. K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). x != (y / z) \ (y * (K(z,u) * (y \ (y / z)))) | K(z,u) = x. K(x,y) = K(x,(z / x) / ((((z / x) / z) / y) * z)). K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). K(x,1 / ((y / z) * x)) != u | K(x,z / (y * x)) = u. K(x,y / (((z / x) / z) * x)) = K(x,y). K(x,x \ y) = K(x,y * ((z / x) / z)). K(x,y * ((z / x) / z)) = K(x,x \ y). K(x \ y,z * (x / y)) = K(x \ y,(x \ y) \ z). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x * K(y \ z,x * (y / z)) != u | (1 / (z \ y)) * (x / (1 / (z \ y))) = u. (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). x != K(y,T(z,y) \ u) | K(y,z \ u) = x. K(x,(x \ y) \ z) = K(T(x,x \ y),(y / z) \ T(x,x \ y)). K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,(x \ y) \ z). x != K(y,(y \ z) \ u) | K(y,z \ (y * u)) = x. K(x,y \ (x * z)) = K(T(x,x \ y),(y / z) \ T(x,x \ y)). K(T(x,x \ y),(y / z) \ T(x,x \ y)) = K(x,y \ (x * z)). K(x,T((y / z) \ T(x,x \ y),y)) = K(x,y \ (x * z)). K(x,y * K(z,u)) * K(u,T(z,y)) = y / T(y * K(z,u),x). K(x,y * K(z,u)) * K(w,v5) != v6 | K(w,v5) * K(x,K(z,u) * y) = v6. K(x,T(y,z)) * K(u,K(y,x) * z) = z / T(z * K(y,x),u). K(x,y \ (z / u)) = K(x,y \ (u \ T(z,u \ 1))). K(x,y \ (z \ T(u,z \ 1))) = K(x,y \ (u / z)). K(x,y * (K(z,T(u,w)) \ K(v5,K(z,u) * w))) = K(x,y / (w \ T(K(z,u) * w,v5))). K(x,y * (z \ K(y,u))) != w | K(x,T(y,u) / z) = w. K(x,T(y,(z * u) \ u) / w) = K(x,T(y,T(z \ 1,u)) / w). K(x,T(y,T(z \ 1,u)) / w) = K(x,T(y,(z * u) \ u) / w). K(x,T(y,T(z \ 1,u)) / w) = K(x,T(y,u \ (z \ u)) / w). K(x,T(y,T(z,u)) / w) != v5 | K(x,T(y,z) / w) = v5. K(x,T(y,z \ 1) / u) = K(x,T(y,w \ (z \ w)) / u). K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). K(x,T(y,z \ (u \ z)) / (u \ T(z * u,u \ 1))) != w | K(x,T(T(z,u) \ y,u * z)) = w. K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / (z \ T(y * z,z \ 1))). K(x,y * (K(z,u) * (w * (z / u)))) = K(x,y * (w * (u \ z))). K(x,y * (((z * u) / z) / T(w,u))) = K(x,(w \ ((z * u) / z)) * (y * K(((z * u) / z) / T(w,u),y))). K(x,(y \ ((z * u) / z)) * (w * K(((z * u) / z) / T(y,u),w))) = K(x,w * (((z * u) / z) / T(y,u))). K(x * (y * K(z,u * z)),w) = K(x * (K(z,z * u) * y),w). K(x * (K(y,y * z) * u),w) = K(x * (u * K(y,z * y)),w). K((x \ K(x,y)) \ z,K(u,w)) = K(u,K(x * (u \ z),w)). (x * K(y \ (K(z,u) * w),T(v5,w))) \ x = K(v5,(K(z,u) * w) / y). K(x,K(y,z \ (u \ z))) = K(u,K(y,x)). K(x,(y / T(z,u)) / w) = K(x,(y / ((z \ u) \ u)) / w). K(x,(y / ((z \ u) \ u)) / w) = K(x,(y / T(z,u)) / w). K(x,(y \ z) / u) = K(x,(z / T(y,z)) / u). K(x,(y / T(z,y)) / u) = K(x,(z \ y) / u). K(x,y \ (z * (T(u,z) * K(w,v5)))) = K(x,y \ ((K(w,v5) * u) * z)). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / u)). K(x,y \ (z * u)) * K(x,K(z * u,y)) = K(x,(T(z,x) * u) / y). K(x,y \ z) * K(x,K(z,y)) != u | K(x,z / y) = u. K(x,(y * z) / u) = K(x,(T(y,x) * z) / u). K(x,(T(y,x) * z) / u) = K(x,(y * z) / u). K((T(x,y) * z) * u,(x * z) * u) = K(R(x,z,u),K(z * u,y)). K(x * y,K(R(z,x,y),u)) = K((T(z,u) * x) * y,(z * x) * y). K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(R(x,z,u),y)). K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(L(x,z,u),y)). K(x,K(y,z)) * K(z,T(y,u) \ (x / y)) = K(z,(x / y) / T(y,u)). K(x,K(x \ y,z)) * K(z,(x \ y) / T(x,u)) = K(z,x \ (T(x,u) \ y)). K(x,(y / z) \ T(u,y \ z)) = K(x,u / (z \ T(y,z \ 1))). K(x,(y / z) \ T(u,y \ z)) = K(x,u / (y / z)). K(x,(y / z) \ T(u,y \ z)) != w | K(x,u / (z \ T(y,z \ 1))) = w. K(x,y / (z \ T(u,z \ 1))) = K(x,y / (u / z)). K(x,y / (z \ u)) = K(x,y / (T(u,z) / z)). K(x,y / (T(z,u) / u)) = K(x,y / (u \ z)). K(x,y / (z / T(u,z))) = K(x,y / (u \ 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). K(x * y,K(z,u * w)) * K(z,(u * T(w,v5)) \ (T(x,v6) * y)) = K(z,(T(x,v6) * y) / (u * T(w,v5))). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | K(y,T(z,v5)) = x. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),z / (u / T(w,v7)))). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. T(T(x,K(y,y \ z)),(y \ z) * K(u,w)) = T(x,K(u,T(w,z)) * (z / y)). K(x,K(y,(z * (u * K(w,v5))) * v6)) = K(x,K(y,v6 * (u * z))). K(x,K(y,z)) * K(z,(y \ x) / T(y,u)) = K(z,y \ (T(y,u) \ x)). K(x,K(y,z)) * K(z,T(y,u) \ (x / y)) = K(z,y \ (T(y,u) \ x)). K(x,K(y,z)) * K(z,T(y,u) \ (x / y)) != w | K(z,(x / y) / T(y,u)) = w. K(x,(y / z) / T(z,u)) = K(x,z \ (T(z,u) \ y)). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(T(x,K(y,z)),(z \ y) * K(u,w)) = T(x,K(u,T(w,y)) * (y / z)). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). T(K(x,T(y,z)) * u,w) * K(y,x) != v5 | K(y,x) * T(K(x,K(y,z)) * (u * K(x,y)),w) = v5. K(x,y) * T(K(y,K(x,z)) * (u * K(y,x)),w) = T(K(y,x) * u,w) * K(x,T(y,z)). K(x,L(y,z,K(u,w)) \ ((y * z) * K(u,u * w))) = K(x,K(w,u) * z). K(x,L(y \ (z * K(u,w)),z * K(u,w),K(w,u))) != v5 | K(x,(y \ K(u,w)) * z) = v5. K(x,y * (z * (K(u,w) / v5))) != v6 | K(x,y * (z * (v5 \ K(u,w)))) = v6. x != K(y,K(z,a(u,w,v5))) | a(z,w,K(y,K(v5,u))) = x. a(x,y,K(z,K(y \ u,w))) = K(z,K(x,((y \ u) * (w * y)) / T(w * u,v5))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = a(y,z,K(x,K(z \ u,w))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,v5))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(K(y,T(z,u)) * w,v5) * (v6 * (w * K(y,T(z,u))))) = K(x,v6 * T(T(K(y,T(z,u)) * w,v5),K(y,z))). K(x,y * (K(z,T(u,w)) * (v5 * T(z,w)))) = K(x,y * (T(T(z,w),u) * T(v5,z))). K(x,y * (T(T(z,u),w) * T(v5,z))) != v6 | K(x,y * (v5 * T(T(z,u),w))) = v6. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u * K(w,v5),z) * x). T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). x != y \ T(z * T(y,K(u,w)),K(u,w)) | T(z,K(w,u) * y) = x. T(x,K(y,z) * u) = T(x,K(y * K(w,v5),z) * u). T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). T(x,y * K(K(z,u) * w,v5)) = T(x,K(w,v5) * y). T(x * K(y,z),u) = T(x * K(y,z),K(x,w) * u). T(x * K(y,z),K(x,u) * w) = T(x * K(y,z),w). x != T(y,K(z,u) * w) | T(y,w * K(z,u)) = x. T(x,y * K(z,u)) = T(x,y * K(K(w,v5) * z,u)). T(x,y * K(K(z,u) * w,v5)) = T(x,y * K(w,v5)). T(x,y * K(z,T(u,w))) = T(x,K(z,u) * y). T(x,y * K(z,u)) = T(x,K(z,T(u,w)) * y). T(x,K(y,T(z,u)) * w) = T(x,w * K(y,z)). T(x,K(y,z) * (u \ y)) != w | T(x,u \ T(y,z)) = w. T(x * K(y,z),u \ T(x,w)) = T(x * K(y,z),u \ x). (x \ y) \ (x \ T(y,z * K(u,w))) = K(y,z * K(K(v5,v6) * u,w)). K(x,y * K(K(z,u) * w,v5)) = (v6 \ x) \ (v6 \ T(x,y * K(w,v5))). K(x * K(y,z),u \ T(x,w)) = (x * K(y,z)) \ T(x * K(y,z),u \ x). x != (y \ z) \ (y \ T(z,u)) | K(z,u) = x. K(x,y * K(z,u)) = K(x,y * K(K(w,v5) * z,u)). K(x,y * K(K(z,u) * w,v5)) = K(x,y * K(w,v5)). K(x,y * K(K(z,u) * y,w)) = K(x,T(y,w)). K(x,(y / K(z,u)) * K(y * K(K(z,u),K(z,u) \ y),w)) = K(x,T(y / K(z,u),w)). K(x * K(y,z),u \ x) = K(x * K(y,z),u \ T(x,w)). K(x * K(y,z),u \ T(x,w)) = K(x * K(y,z),u \ x). x != K(y * K(z,y),u) | K(y,T(u,z)) = x. K(x,T(y \ x,z)) = K(x * K(z,x),y \ T(x,u)). K(x * K(y,x),z \ T(x,u)) = K(x,T(z \ x,y)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T((y / z) \ T(x,x \ y),y)) != u | K(x,y \ (x * z)) = u. K(x,y \ (x * z)) = K(x,T((y / z) \ x,y)). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). K(x,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 \ y) * x)) = K(x,T(z \ x,y)). K(x,(y * z) \ (z * x)) = K(x,T(y \ x,y * z)). K(x,T(y \ x,y * z)) = K(x,(y * z) \ (z * x)). K(x,T(y \ x,y * z)) != u | K(x,T(y \ x,z)) = u. K(x,T(y \ x,z)) = K(x,(y * z) \ (z * x)). K(x,(y * z) \ (z * x)) = K(x,T(y \ x,z)). K(x,(y * z) \ (z * x)) != u | K(x,T(y,z) \ x) = u. K(x,T(y,z) \ x) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(K(x \ y,z),(x * T(x \ y,z)) \ (y * u)) = K(u,K(x \ y,z)). K(x \ y,K(z,(x * T(x \ y,z)) \ (y * u))) = K(u,K(x \ y,z)). x != K(y,z / (u \ T(w,u \ 1))) | K(y,z / (w / u)) = x. K(x,T(y,z \ 1) / ((u * z) / z)) = K(x,T(T(u,z) \ y,z * u)). K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / ((y * z) / z)). K(x,T(T(y,z) \ u,z * y)) = K(x,T(u,z \ 1) / y). K(x,K(y * ((T(z,u) * w) * v5),v6)) != v7 | K(x,K(v6,y * ((z * w) * v5))) = v7. K(x,K(y,z * ((u * w) * (u \ 1)))) = K(x,K(z * L(w,u,u \ 1),y)). x != K(y,T(z,u)) * K(u,w) | T(K(y,z) * K(u,w),u) = x. T(K(x,y) * K(z,u),z) = T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)). T(K(x,y) * K((z * K(y,x)) * K(x,y),u),z * K(y,x)) = T(K(x,y) * K(z,u),z). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K((x * (y / x)) \ z,u) = K(((x \ z) * x) / y,T(u,z / x)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). K(x,T(y / (T(z,u) \ 1),T(z \ 1,u) * w)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,T(y,z * x) / T(z \ 1,T(y,(z \ 1) \ x) * z)) = K(x,y / (z \ 1)). K(x,T(y,z * x) / T(z \ 1,T(y,z * x) * z)) = K(x,y / (z \ 1)). K(x,T(y,z * x) / T(z \ 1,T(y * z,z * x))) = K(x,y / (z \ 1)). K(x,y / T(z,T(u,w))) != v5 | K(x,y / T(z,u)) = v5. K(x,T(y,z * x) / T(z \ 1,y * z)) = K(x,y / (z \ 1)). K(x,(y \ K(y * x,z)) \ z) = K(x,z / (y \ 1)). K(x,(K(y,z * x) * z) * y) = K(x,y / (z \ 1)). K(x,(y * K(z,x * y)) * z) = K(x,z / (y \ 1)). K(x,y * T(z,x * y)) = K(x,z / (y \ 1)). x != K(y,z / (u \ 1)) | K(y,z * u) = x. K(x,y * z) = K(x,z * T(y,x * z)). K(x,y * T(z,x * y)) = K(x,z * y). T(x,y * T(z,x * y)) = x * K(x,z * y). T(x,y * z) = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = T(x,z * y). T(x,K(y,z) * u) != w | u \ T(x * T(u,K(y,z)),K(y,z)) = w. T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(z,u)) = T(y,x * K(z,u)). x != K(y,T(z \ (u * (w / u)),w)) | K(y,(u * (w / u)) / z) = x. K(x,(y * (z / y)) / u) = K(x,((u * (y * (z / y))) / u) / T(u,y * (z / y))). K(x,((y * (z * (u / z))) / y) / T(y,z * (u / z))) = K(x,(z * (u / z)) / y). K(x,((y * (z * (u / z))) / y) / T(y,T(u,z))) = K(x,(z * (u / z)) / y). K(x,((y * (z * (u / z))) / y) / T(y,u)) = K(x,(z * (u / z)) / y). K(x,(y / z) / T(z,u)) != w | K(x,z \ (T(z,u) \ y)) = w. K(x,y \ (T(y,z) \ (y * (u * (z / u))))) = K(x,(u * (z / u)) / y). K(x,y \ (K(z,y) * (u * (z / u)))) = K(x,(u * (z / u)) / y). K(x,T(y,z) \ (u * (z / u))) = K(x,(u * (z / u)) / y). K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. K(x,T(y,z) \ T(z,u)) = K(x,(u * (z / u)) / y). K(x,T(y,z) \ T(z,u)) != w | K(x,T(z,u) / y) = 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 / (y / z)) / u) = K(x,T(z,y) / u). K(x,(y * ((y \ z) / y)) / u) != w | K(x,(z / y) / u) = w. K(x,(y / z) / u) = K(x,T(z \ y,z) / u). K(x,T(y \ z,y) / u) = K(x,(z / y) / u). K(x,(y * z) / u) = K(x,T(z * y,y) / u). K(x,T(y * z,z) / u) = K(x,(z * y) / u). K(x,T(y \ z,z) / u) != w | K(x,(z / y) / u) = w. K(x,(y \ T(z,y)) / u) = K(x,(z / y) / u). K(x,T(((y / z) \ 1) * y,y) / u) != w | K(x,(((z \ y) \ 1) * y) / u) = w. K(x,(((y \ z) \ 1) * z) / u) = K(x,(z * ((z / y) \ 1)) / u). K(x,y * (z * T(u * w,w \ 1))) = K(x,y * (z * (((u * w) \ u) \ u))). K(x,y * (z * T(u * (w * K(v5,v6)),K(v5,L(v6,w,u)) \ 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). K(x,K(y * z,u)) * K(u,(y * (z * K(w,v5))) \ x) = K(u,x / (y * (z * K(w,v5)))). K(x,y * (K(z,T(u,w)) * K(v5,K(u,z) * w))) = K(x,y / (w \ T(K(u,z) * w,v5))). K(x,y * (K(z,T(T(u,w * v5),w)) \ K(v5,K(z,T(u,w * v5)) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). T(K(x,y) * z,u) * K(y,T(x,w)) != v5 | K(y,T(x,w)) * T(z * K(x,y),u) = v5. K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). K(x,(y * K(z,u)) * K(y * K(K(u,z),K(u,z) \ y),w)) = K(x,T(y / K(u,z),w)). T(K(x,y) * K(z,u),z * K(y,x)) = T(K(x,y) * K(z,u),z). K(x,T(y / (T(z,u) \ 1),T(z,u) \ w)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,T(y / (T(z,u) \ 1),w * T(z,u))) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,T(y,z * T(u,w))) != v5 | K(x,T(y,z * u)) = v5. K(x,T(y / (T(z,u) \ 1),w * z)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,T(y / (z \ 1),u)) != w | K(x,T(y * z,u)) = w. K(x,T(y * T(z,u),w * z)) = K(x,T(T(z,u) \ 1,w) \ T(y,w)). K(x,T(y * z,u * y)) = K(x,T(T(y,z) \ 1,u) \ T(z,u)). x != K(y,T(z \ 1,u) \ w) | K(y,T(z,u) * w) = x. K(x,T(T(y,z),u) * T(z,u)) = K(x,T(y * z,u * y)). K(x,T(y * z,u * y)) = K(x,T(T(y,z),u) * T(z,u)). K(x,y * (z / T(z * K(u,w),v5))) = K(x,y / (z \ T(K(u,w) * z,v5))). K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y * (z / T(z * K(u,w),v5))). K(x,(y * K(z,u)) * K(y * K(K(u,z),K(z,u) * y),w)) = K(x,T(y / K(u,z),w)). K(x,(y * K(z,u)) * K(y * K(u,K(z,K(z,u) * y)),w)) = K(x,T(y / K(u,z),w)). K(x,(y * K(z,u)) * K(y,w)) = K(x,T(y / K(u,z),w)). K(x,y * (K(z,u) * K(y,w))) = K(x,T(y / K(u,z),w)). K(x,y * (z * K(y,u))) != w | K(x,T(y,u) * z) = w. 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)). K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). T(x,T(y,z) * K(u,w)) = x * K(x,T(y * K(u,w),z)). x * K(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). K((x * y) * R(T(T(z,x * y),u),x,y),(z * x) * y) = K((z * x) * y,K(x * y,u)). K(R(T(x,y),z,u) * (z * u),(x * z) * u) = K((x * z) * u,K(z * u,y)). K((T(x,y) * z) * u,(x * z) * u) = K((x * z) * u,K(z * u,y)). K(K(K(x,y) * z,u) * z,w) = K(T(z * K(x,y),u) * K(y,x),w). K(T(x * K(y,z),u) * K(z,y),w) = K(K(K(y,z) * x,u) * x,w). x != K(K(y,z) * u,w) | K(u * K(y,z),w) = x. K(x * K(K(y,z) * x,u),w) = K(T(x * K(y,z),u) * K(z,y),w). K(T(x * K(y,z),u) * K(z,y),w) = K(x * K(K(y,z) * x,u),w). K(K(x,y) * T(K(y,x) * z,u),w) = K(z * K(K(y,x) * z,u),w). K(x,R(T(T(y * z,y) / y,u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),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)). K(x,L(T(T(y * z,y) / y,u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),u)). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,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,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). K(x,T(y,z)) * T(u * K(y,x),w) != v5 | K(x,y) * T(u * K(y,T(x,z)),w) = v5. K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). R(x,K(y,z),u) = (u * (x * K(y,z))) / T(u * K(y,T(z,x)),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,u),x) = w. L(x,K(y,z),u) = R(x,K(y,z),u). R(x,K(y,z),u) = L(x,K(y,z),u). R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. 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). R(x,y,z) != u | ((x * y) * z) / (y * z) = u. ((x * K(y,z)) * u) / (K(y,z) * u) = L(x,K(y,z),u). L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. (L(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,R(x,K(y,z),u * z)). ((x * K(y,z)) * u) \ ((x * K(y,z)) * L(u,K(y,T(z,x)),x)) = a(u,K(y,T(z,x)),x). (x / (y \ 1)) * K(y,z) = x / (K(z,y) * (y \ 1)). x / (K(y,z) * (z \ 1)) = (x / (z \ 1)) * K(z,y). L((x / (y \ z)) * K(K(y,u),w),K(w,K(y,u)),y \ z) = x / (T(y,K(u,w)) \ z). x / (T(y,z) \ 1) = (x / (y \ 1)) * K(y,z). (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). x * K(y,y \ x) != z | y * (x / y) = z. x * ((y / (x \ 1)) / x) = y / (T(x,x \ (y / (x \ 1))) \ 1). x / (T(y,y \ (x / (y \ 1))) \ 1) = y * ((x / (y \ 1)) / y). ((x * K(y,z)) * (K(z,y) * u)) / u = L(x,K(y,z),K(z,y) * u). (x * K(y,z)) * u != w * (K(y,z) * u) | L(x,K(y,z),u) = w. x / (T(y,(y \ x) * y) \ 1) = y * ((x / (y \ 1)) / y). x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). K(x,T(T(T(y,T(z,u \ 1)) \ 1,u) \ z,u * (T(y,T(z,u \ 1)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). L((x / (y \ z)) * K(y,K(u,w)),K(w,K(y,u)),y \ z) = x / (T(y,K(u,w)) \ z). ((x * K(y,z)) * u) \ ((x * K(y,z)) * L(u,K(y,z),x)) = a(u,K(y,T(z,x)),x). ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,T(z,x)),x). K(x,L(T(y \ (y * z),u \ w),v5,v6)) = K(x,T(w,u) \ T(T(w * R(z,v5,v6),w),u)). K(x,L(T(y,z \ u),w,v5)) = K(x,T(u,z) \ T(T(u * R(y,w,v5),u),z)). K(x,T(y,z) \ T(T(y * R(u,w,v5),y),z)) = K(x,L(T(u,z \ y),w,v5)). K(x,T(y,z) \ T(R(u,w,v5) * y,z)) = K(x,L(T(u,z \ y),w,v5)). K(x,T(R(y,z,u),w * v5)) = K(x,L(T(y,v5 \ w),z,u)). K(x,L(T(y,z \ u),w,v5)) = K(x,T(R(y,w,v5),u * z)). K(x,L(T(y,z \ u),w,v5)) = K(x,R(T(y,u * z),w,v5)). K(x,R(T(y,z * u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,u * z),w,v5)). K(x,L(T(y,z \ u),w,v5)) != v6 | K(x,L(T(y,u / z),w,v5)) = v6. K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,z * u),w,v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * 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)). T(x,(K(y,T(z,u \ w)) * w) / u) = T(x,u \ (T(w,u \ a(v5,v6,v5)) * K(y,z))). T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,(K(v5,T(v6,y \ z)) * z) / y). 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,L(T(y,z),T(z,u),(T(z,u) * K(x,y)) \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). K(x,(y \ ((z * u) / z)) * (w * K(y \ ((z * u) / z),w))) = K(x,w * (((z * u) / z) / T(y,u))). K(x,y * (z \ ((u * w) / u))) = K(x,y * (((u * w) / u) / T(z,w))). K(x,y * (((z * u) / z) / T(w,u))) = K(x,y * (w \ ((z * u) / z))). K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,T(z,v6))))) = K(x,v5 * T(T(K(y,T(z,v6)) * u,w),K(y,z))). K(x,y * (K(z,T(T(u,w),w * v5)) \ K(v5,K(z,T(u,w * v5)) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). K(x,y * (K(z,T(T(u,w),w * v5)) \ K(v5,K(z,u) * w))) = K(x,y / (w \ (T(w,v5) * K(z,u)))). K(x,y * (K(T(z,u),T(w,u * v5)) * K(v5,K(w,z) * u))) = K(x,y / (u \ (T(u,v5) * K(w,z)))). K(x,y * (K(z,T(T(u,w),w * v5)) * K(v5,K(u,z) * w))) = K(x,y / (w \ (T(w,v5) * K(u,z)))). K(x,y * (K(z,T(u,w)) * K(v5,K(u,z) * w))) = K(x,y / (w \ (T(w,v5) * K(u,z)))). K(x,y * (z / T(z * K(u,w),v5))) = K(x,y / (z \ (T(z,v5) * K(u,w)))). K(x,y / (z \ (T(z,u) * K(w,v5)))) = K(x,y * (z / T(z * K(w,v5),u))). K(x,y / (K(z,u) * K(w,v5))) = K(x,y * (z / T(z * K(w,v5),u))). K(x,y * (z / T(z * K(u,w),v5))) = K(x,y / (K(z,v5) * K(u,w))). x != K(y,z / (u * K(w,v5))) | K(y,z * (u \ K(v5,w))) = x. K(x,y * (K(z,u) \ K(w,v5))) = K(x,y * (z / T(z * K(v5,w),u))). K(x,y * (z / T(z * K(u,w),v5))) = K(x,y * (K(z,v5) \ K(w,u))). K(x,y * (z / T(z * K(u,w),v5))) = K(x,y * (K(v5,z) * K(w,u))). K(x,y * (z / T(z * K(u,w),v5))) != v6 | K(x,y / (z \ T(K(u,w) * z,v5))) = v6. K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y * (K(v5,z) * K(w,u))). x != K(y * (z \ u),T(w,u \ z)) | K((z \ u) * y,w) = x. K((x \ y) * (z * K(y,T(u,x))),w) = K((x \ T(y,u)) * R(z,(x \ T(y,u)) / (x \ y),x \ y),w). K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ y) * (u * K(y,T(z,x))),w). x != K(y * (z * K(u,T(w,v5))),v6) | K(y * (z * K(u,w)),v6) = x. K((x \ y) * (z * K(y,u)),w) = K((x \ T(y,u)) * R(z,(x \ T(y,u)) / (x \ y),x \ y),w). K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ y) * (u * K(y,z)),w). (L(x,K(y,z),u * z) * (K(y,z) * u)) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,L(x,K(y,z),u * z)). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K(1 / x,T(y,z / (u \ w))) = K(1 / x,T(y,z / (1 / (w \ u)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). x != K(y,T(z,u / (w \ v5))) | K(y,T(z,u / (v5 / w))) = x. K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,z / (1 / (u \ w)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). K(x,T(y,z / (u / (w \ v5)))) != v6 | K(x,T(y,z / (u / (v5 / w)))) = v6. K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). K(1 / x,T(y,(z / u) * w)) = K(1 / x,T(y,w / (u / z))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. x != K(1 / y,z) / y | T(1 / y,z) = x. T(1 / x,T(y,(z / u) * w)) = T(1 / x,T(y,w / (u / T(z,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). T(T(x / (x / L(y,z,u)),w),x / y) != v5 | T(L(y,z,u),w) = v5. T(L(x,y,z),T(u,(w / v5) * v6)) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | K(w,L(y,z,u)) = x. K(T(x,(y / z) * u),L(w,v5,v6)) = K(T(x,u / (z / T(y,v7))),L(w,v5,v6)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(x,T(L(y,z,u),(w / v5) * v6)) = K(T(x,v6 / (v5 / T(w,v7))),L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(y,z / (u / T(w,v5)))) != v6 | K(x,T(y,z / (u / w))) = v6. K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) != v8 | K(x,T(y,w / (v5 / v6))) = v8. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),(T(w,v7) / u) * z)). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(L(y,z,T(x,u)),w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). K(x,T(y,z / (u / w))) != v5 | K(x,T(y,z / (w \ u))) = v5. K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,y) \ K(x,T(y,z / (u \ w))) = K(x,K(y,(u / w) * z)). K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,z / u)) = K(x,K(y,(w / (w * u)) * z)). 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,(u / z) * w)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). K(x,K(y,z * (u / w))) = K(x,K(y,z / (u \ w))). K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). K(x,K((y / z) * u,L(w,v5,v6))) = K(x,K(u / (y \ z),L(w,v5,v6))). K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). K(x,K(y / (z \ u),L(w,u,z))) != v5 | K(x,K(w,(y * z) / u)) = v5. K(x,K(y,(z * u) / w)) = K(x,K((u / w) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / 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))). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,(w * u) / v5)) = x. K(x,K(y,(z * u) / w)) = K(x,K((z / w) * u,L(y,w,z))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,v5 \ (w * u))) = x. K(x,K(y,z \ (u * w))) = K(x,K((u / z) * w,L(y,z,u))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,z \ (y * u))). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. K(x,K((y / z) * u,w)) != v5 | K(x,K((z \ y) * u,w)) = v5. K(x,K((y \ z) * u,L(w,y,z))) = K(x,K(w,y \ (z * u))). K(x,K(y * (z \ 1),u)) != w | K(x,K(z \ y,u)) = w. K(x,K(y \ (z \ u),L(w,z,u))) = K(x,K(w,z \ (u * (y \ 1)))). K(x,K(y,L(z \ (u \ w),u,w))) = K(x,K(y,u \ (w * (z \ 1)))). K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K((z / v5) / w,L(y,v5,z))). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * (1 / u)) / z)) = v5. K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(z * ((v5 / u) / v5)) / w)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K(y,(z * u) / w)) = K(x,K(y,(T(z,u) / (1 / u)) / w)). K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). K(x,K(y,(z / u) / w)) != v5 | K(x,K(y,(u / z) * w)) = v5. K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z * ((u / (u / w)) / v5))) != v6 | K(x,K(y,(w / v5) * z)) = v6. K(x,K(y,(z / u) * w)) = K(x,K(y,(u * (1 / z)) / w)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). K(x,K(y,(z * (1 / u)) / w)) != v5 | K(x,K(y,(z * ((v6 / u) / v6)) / w)) = v5. K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). K(x,K(y,(z * u) / (z * (u * w)))) != v5 | K(x,K(y,L(w,u,z))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(y,(u / w) * (w * ((1 / u) * z)))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). K(x,K(y,z / ((1 / u) * w))) != v5 | K(x,K((z / w) * u,L(y,z / w,w))) = v5. K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,L(z,u / w,w))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,1 / (z * ((1 / u) * w)))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). x != K(y,K(z,u / (((w / v5) / w) * v6))) | K(y,K(z,(v5 / v6) * u)) = x. K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) != v6 | K(x,K(y,(w * u) / v5)) = v6. K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). K(x,K(y,(z * (u / w)) / v5)) != v6 | K(x,K(y,v5 / ((w \ u) * z))) = v6. K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,((w / v5) / T(u,w \ v5)) * z)). K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) != v5 | a(y,z,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y / w) / (u * y)) * (u * w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). x != a(y,z,K(u,K(w,v5))) | a(y,v5 * z,K(u,K(w,v5))) = x. a(x,(y / z) * z,K(u,K(w,y / z))) = K(u,K(x,((z / y) / (w * z)) * (w * y))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (u \ w)))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(z,(w * u) * ((y / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). K(x,K(y,(z * (u * K(w,v5))) * ((w / u) / z))) = K(x,K(T(w,v5),L(y,u * K(w,v5),z))). K(x,K(T(y,z),L(u,w * K(y,z),v5))) = K(x,K(u,(v5 * (w * K(y,z))) * ((y / w) / v5))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). K(x,K(y,L(z,u * K(z,w),v5))) = K(x,K(y,(v5 * (u * K(z,w))) * ((z / u) / v5))). K(x,K(y,(z * (u * K(w,v5))) * ((w / u) / z))) = K(x,K(y,L(w,u * K(w,v5),z))). K(x,K(y,z * (u / w))) != v5 | K(x,K(y,z * (w \ u))) = v5. K(x,K(y,(z * (u * K(w,v5))) * (z \ (w / u)))) = K(x,K(y,L(w,u * K(w,v5),z))). K(x,K(y,(z * (u * K(w,v5))) * (z \ (w / u)))) = K(x,K(y,L(w,u,z))). K(x,K(y,z * (u \ (w / v5)))) != v6 | K(x,K(y,z * (u \ (v5 \ w)))) = v6. K(x,K(y,(z * (u * K(w,v5))) * (z \ (u \ w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,(z * (u * K(w,v5))) * v6)) != v7 | K(x,K(y,v6 * (u * z))) = v7. K(x,K(y,(z \ (u \ w)) * (u * z))) = K(x,K(y,L(w,u,z))). K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,(u / z) * w)) = v5. K(x,K(y,((z \ u) / w) * (z * w))) = K(x,K(y,L(u,z,w))). x != K(y,K(z,1 / u)) | K(y,K(z,u)) = x. K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). K(x,K(y,z * (u / (u * w)))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,(z / u) / w)) = K(x,K(y,w * ((1 / z) * u))). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). x != K(y,K(z,(u / w) / v5)) | K(y,K(z,(w / u) * v5)) = x. K(x,K(y,(z / u) * w)) = K(x,K(y,w * ((1 / u) * z))). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). x != K(y,K(z,((u * w) / u) * v5)) | K(y,K(z,w * v5)) = x. K(x,K(y,z * u)) = K(x,K(y,u * L(z,w,1 / w))). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) != v6 | K(x,K(y,(((1 / v5) * w) * z) * u)) = v6. K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,R(u / z,w,v5) * (w * v5))). K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) != v5 | K(x,K(y,L(w,1 / z,u))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(y,(u / w) * ((z / u) * w))). K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. K(x,K(y,z * (u * w))) = K(x,K(y,z * (((w / (1 / v5)) / v5) * u))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). K(x,K(y,z * (u * (1 / w)))) != v5 | K(x,K(y,(u / w) * z)) = v5. K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). x != K(y,K(z,u * (T(w,v5) * v6))) | K(y,K(z,(w * v6) * u)) = x. K(x,K(y,(z * u) * w)) = K(x,K(y,w * (((u / (1 / v5)) / v5) * T(z,v6)))). K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). x != K(y,K(z,u * (1 / w))) | K(y,K(z,u / w)) = x. K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,(w * ((1 / u) * z)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). x != K(y,K(z,((u / w) * v5) / v6)) | K(y,K(z,((w / u) / v5) * v6)) = x. K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * ((1 / z) * u)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). K(x,K(y,a(z,1 / u,w))) = K(x,K(y,((u / w) / z) * ((z * (1 / u)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u / (1 / w)))) != v5 | K(x,K(y,(w * u) * z)) = v5. K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,1 / w))). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,1 / w))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,a(u,w,v5))) | a(y,w,K(z,K(u,v5))) = x. a(x,1 / y,K(z,K(u,w))) = K(x,K(z,((y / w) / u) * ((u * (1 / y)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). K(x,K(R(y,K(z,u),w),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). x != K(y,K(z,L(u,K(w,v5),v6))) | K(y,K(z,u)) = x. K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * (K(u,w) * v5)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,((z * u) * w) / (w * u))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) != v7 | K(x,K(w,L(y,v5,v6))) = v7. K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,K(v5,v6) * u,w))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). x != K(y,K(z,L(u,w,v5))) | L(K(u,K(y,z)),w,v5) = x. L(K(x,K(y,z)),u,w) = L(K(x,K(y,z)),K(v5,v6) * u,w). L(K(x,K(y,z)),K(u,w) * v5,v6) = L(K(x,K(y,z)),v5,v6). L(K(x,K(y,z)),u,w) / K(x,K(y,z)) = a(x,K(v5,v6) * u,K(w,K(y,z))). a(x,K(y,z) * u,K(w,K(v5,v6))) = L(K(x,K(v5,v6)),u,w) / K(x,K(v5,v6)). x != K(y,K(z,L(u,1 / w,v5))) | K(y,K(u,L(z,w,v5))) = x. K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,K(v5,v6) / u,w))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(y,L(z,u,w))) * K(K(y,z),x) = a(w,K(v5,u) / (K(z,y) * u),K(K(y,z),x)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). x != L(K(y,z),u,w) / K(y,z) | a(y,u,K(w,z)) = x. a(x,y,K(z,K(u,w))) = a(x,K(v5,v6) * y,K(z,K(u,w))). 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,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). x != K(y,K(z,u)) * K(y,K(z,w)) | K(K(z,u) * K(w,z),y) = x. K(K(x,L(y,z,u)) * K(y,x),w) = a(u,K(v5,z) / (K(y,x) * z),K(K(x,y),w)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | a(u,z,K(v5,K(w,y))) = x. a(x,y,K(z,K(u,w))) = a(w,K(v5,y) / (K(x,u) * y),K(K(u,x),z)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). a(x,1 / y,K(z,K(u,w))) != v5 | K(x,K(z,((y / w) / u) * ((u * (1 / y)) * w))) = v5. K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). a(x,1 / y,K(z,K(u,w))) != v5 | a(w,u / y,K(z,K(u,x))) = v5. a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). x != a(y,z,K(u,K(w,v5))) | a(w,z,K(u,K(y,v5))) = x. a(x,y,K(z,K(u,w))) = a(u,x / y,K(z,K(x,w))). a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). K(x,K(y,((z / u) / w) * ((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,T(T(T(y,T(z,u)) \ 1,u) \ z,u * (T(y,T(z,u \ 1)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u * (T(y,T(z,u)) \ 1))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u / T(y,T(z,u)))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,u / T(y,z))) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,T(y,z) \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. K(x,T(T(T(y,T(z,u)) \ 1,u) \ z,y \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(y \ 1,z) \ u,w)) != v5 | K(x,T(T(y,z) * u,w)) = v5. K(x,T(T(T(y,T(z,u)),u) * z,y \ u)) = K(x,y * ((T(z,u \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,z),T(u,z)) * u,y \ z)) = K(x,y * ((T(u,z \ 1) / (y \ 1)) / y)). K(x,T(T(T(y,z),u) * u,y \ z)) = K(x,y * ((T(u,z \ 1) / (y \ 1)) / y)). K(x,T(T(y,z) * z,u)) != w | K(x,T(z * y,u)) = w. K(x,T(y * T(z,u),z \ u)) = K(x,z * ((T(y,u \ 1) / (z \ 1)) / z)). x != K(y,z * (u / z)) | K(y,T(u,z)) = x. K(x,T(T(y,z \ 1) / (u \ 1),u)) = K(x,T(y * T(u,z),u \ z)). K(x,y * T(z,u \ 1)) = K(x,T(z * T(y,u),y \ u)). K(x,T(y * T(z,u),z \ u)) = K(x,z * T(y,u \ 1)). K(x,T(y * T(z,u),u * z)) = K(x,z * T(y,u \ 1)). K(x,T((y * z) * T(u,z),z * u)) != w | K(x,(u * z) * R(y,z,u)) = w. K(x,(y * z) * R(u,z,y)) = K(x,y * T(u * z,z \ 1)). x != K(y,z * T(u * w,w \ 1)) | K(y,z * (w * u)) = x. K(x,y * (z * u)) = K(x,(y * z) * R(u,z,y)). K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). K(x,(y * (y \ z)) * R(T(u,z),y \ z,y)) = K(x,L(u,y \ z,y) * z). K(x,T((y * z) * T(u,z),y)) = K(x,u * (z * y)). x != K(y,z * (u * w)) | K(y,(z * u) * R(w,u,z)) = x. K(x,(y * z) * R(u,z,y)) = K(x,T((u * z) * T(y,z),u)). K(x,T((y * z) * T(u,z),y)) = K(x,(u * z) * R(y,z,u)). x / (K(y,z * (u * w)) * x) = K(T((w * u) * T(z,u),w),y). K(T((x * y) * T(z,y),x),u) = w / (K(u,z * (y * x)) * w). K(x,T((y * z) * T(u,z),y)) = K(x,(u * z) * R(y,z,T(u,z))). K(x * (y * z),u) = K(T((z * y) * T(x,y),z),u). K(T((x * y) * T(z,y),x),u) = K(z * (y * x),u). K((x * y) * T(z,y),T(u,x)) = K(z * (y * x),u). K((x * y) * R(z,y,x),u) = K(x * (y * z),u). K((((x * y) \ z) * y) * (z / (y * ((x * y) \ z))),u) = K(((x * y) \ z) * (y * x),u). K(x,T((T(y,z) / u) * T(w,y / u),K(y,z))) = K(x,(w * (y / u)) * R(K(y,z),y / u,T(w,y / u))). K(x,y * R(T(z,y),u \ y,u)) = K(x,L(z,u \ y,u) * y). K(x,R(y,z \ u,z) * u) = K(x,L(y,z \ u,z) * u). K(x,(y * (z / u)) * u) = K(x,L(y,u \ z,u) * z). K(x,L(y,z \ u,z) * u) = K(x,(y * (u / z)) * z). x / (K(y,(z * (u / w)) * w) * x) = K(L(z,w \ u,w) * u,y). K(L(x,y \ z,y) * z,u) = w / (K(u,(x * (z / y)) * y) * w). K(L(x,y \ z,y) * z,u) != w | K((x * (z / y)) * y,u) = w. K((x * y) * (z / (y * x)),u) != w | K(z * K(x,y),T(u,y * x)) = w. K(x * K((y * z) \ x,z),T(u,z * ((y * z) \ x))) = K(((y * z) \ x) * (z * y),u). K(x * K(y \ (z \ x),z),T(u,z * ((y * z) \ x))) = K(((y * z) \ x) * (z * y),u). K(x,(T(y,z) / u) * T(w,y / u)) = K(x,(w * (y / u)) * R(K(y,z),y / u,T(w,y / u))). K(x,(y * (z / u)) * R(K(z,w),z / u,T(y,z / u))) = K(x,(T(z,w) / u) * T(y,z / u)). x != K(y,z * T(u,w / v5)) | K(y,z * T(u,v5 \ w)) = x. K(x,(T(y,z) / u) * T(w,u \ y)) = K(x,(w * (y / u)) * R(K(y,z),y / u,T(w,y / u))). K(x,(y * (z / u)) * R(K(z,w),z / u,T(y,z / u))) = K(x,(T(z,w) / u) * T(y,u \ z)). K(x,(y * (z / u)) * K(z,L(w,z / u,T(y,z / u)))) = K(x,(T(z,w) / u) * T(y,u \ z)). K(x,(y * (z / u)) * K(z,L(w,z / u,y))) = K(x,(T(z,w) / u) * T(y,u \ z)). K(x,y * ((z / u) * K(z,w))) = K(x,(T(z,w) / u) * T(y,u \ z)). K(x,(T(y,z) / u) * T(w,u \ y)) = K(x,w * ((y / u) * K(y,z))). K(x,(T(y,z) / u) * T(w,u \ y)) != v5 | K(x,w * (T(y,z) / u)) = v5. (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * a(z,z,L(y,u,w))) * (y * (z * ((y * z) \ 1))). a(x,y \ z,K(z * (y \ u),T(y,w))) * K(x,T((((w * y) / w) \ z) * y,K(y,w)) / ((u \ 1) * T(y,w))) = K(x,(y \ z) * u). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,z * (((1 / u) * w) * v5))) != v6 | K(x,K(y,z * ((w / u) * v5))) = v6. K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). K(x,K(y,((z / u) * w) * ((u / w) / z))) != v5 | a(x,u,K(y,K(z / u,w / u))) = v5. a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,z \ w))) = a(w,y \ z,K(x,K(u,z))). a(x,y,K(z,K(u,y \ w))) = a(w,z \ y,K(x,K(u,y))). a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,z \ x))). a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,z \ x))). a(x,y \ z,K(u,K(w,v5))) != v6 | a(x,z / y,K(u,K(w,v5))) = v6. a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,y \ x))). a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. a(x,y,K(z,K(u,w))) = a(z,x,K(y,K(w,x \ u))). a(x,y,K(z,K(u,y \ w))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,y \ w))) = a(y,z,K(w,K(x,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) != v5 | a(y,u,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). a(x,y,K(z,K(u,w / y))) != v5 | a(y,z,K(w,K(x,u))) = v5. a(x,y,K(z,K(u,w))) = a(z,u,K(y,K(x,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). (x * y) * K(z,K(u,L(w,x,y))) = x * (y * K(z,K(w,u))). x != K(y \ (z \ u),K(w,L(v5,u,z))) | K(w,K(v5,(z * y) \ u)) = x. K(x,K(y,(z * u) \ w)) = K(y,K(x,L(u \ (z \ w),z,w))). K(x,K(y,L(z \ (u \ w),u,w))) = K(y,K(x,(u * z) \ w)). x != K(y,K((z / u) * w,L(v5,z,u))) | K(y,K(v5,(w / u) * z)) = x. K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,u,w))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). (x * y) * K(z,K(u,L(w,x,y))) != v5 | (K(w,K(z,u)) * x) * y = v5. (K(x,K(y,z)) * u) * w = u * (w * K(y,K(x,z))). (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). L(x,K(y,K(z,u)),w) = x. (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). L((x / (y \ z)) * K(y,K(u,w)),K(w,K(y,u)),y \ z) != v5 | x / (T(y,K(u,w)) \ z) = v5. x / (T(y,K(z,u)) \ w) = (x / (y \ w)) * K(y,K(z,u)). (x / (y \ z)) * K(y,K(u,w)) = x / (T(y,K(u,w)) \ z). R(x * K(y,K(z,u)),w,v5) = ((x * (K(y,K(z,u)) * w)) * v5) / (w * v5). ((x * (K(y,K(z,u)) * w)) * v5) / (w * v5) = R(x * K(y,K(z,u)),w,v5). K(x,y / (T(z,K(u,w)) \ v5)) = K(x,y / (z \ v5)). K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y / (T(z,u) \ v5)). K(x,y / T(K(z,u) * K(K(z,u) * w,v5),w)) = K(x,y / (w \ T(w * K(z,u),v5))). K(x,K(y,L(z \ (u \ w),u,w))) != v5 | K(x,K(y,u \ (w * (z \ 1)))) = v5. K(x,K(y,z \ (u * (w \ 1)))) = K(y,K(x,(z * w) \ u)). K(x,K(y,(z * (u \ 1)) \ w)) = K(y,K(x,(w * u) \ z)). x != K(y,K(z,u \ w)) | K(z,K(w \ u,y)) = x. K(x,K(y \ (z * u),w)) = K(x,K(w,(y * (u \ 1)) \ z)). K(x,K(y,(z * (u \ 1)) \ w)) = K(x,K(z \ (w * u),y)). K(x,K(y,z * (u * (w \ 1)))) = K(x,K(u \ (z * w),y)). x != K(y,K(z \ (u * w),v5)) | K(y,K(v5,(w * u) \ z)) = x. K(x,K(y,(z * u) \ w)) = K(x,K(y,u * (w * (z \ 1)))). K(x,K(y,z * (u * (w \ 1)))) = K(x,K(y,(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,(u / z) * w)). x != K(y,K(z,(u / w) * v5)) | K(y,K(z,v5 * (u * (1 / w)))) = x. K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,w \ (u * z))). K(x,K(y,z * (u * (w \ 1)))) = K(x,K(y,w \ (u * z))). K(x,K(y,z * (u * (w \ 1)))) != v5 | K(x,K(y,(w * z) \ u)) = v5. K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w * u))). K(x,K(y,(z * u) \ w)) = K(y,K(x,z \ (w * u))). x != K(y,K(z,u \ w)) | K(y,K(z,u * w)) = x. K(x,K(y,z * (u * w))) = K(y,K(x,(z * w) \ u)). K(x,K(y,(z * u) \ w)) = K(y,K(x,z * (w * u))). K(x,K(y,(z * u) * w)) = K(y,K(x,z * (w * u))). K(x,K(y,z * u)) = K(y,K(x,(z / w) * (u * w))). K(x,K(y,(z / u) * (w * u))) = K(y,K(x,z * w)). K(x,K(y,((z \ u) / w) * (z * w))) != v5 | K(x,K(y,L(u,z,w))) = v5. K(x,K(y,L(z,u,w))) = K(y,K(x,(u \ z) * u)). x != K(y,K(z,(u \ w) * u)) | K(y,K(w,z)) = x. K(x,K(y,z)) = K(z,K(x,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(y,K(z,x)). K(x,L(K(y,z),u,w)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,z)). K(x \ (y \ z),K(u,L(w,z,y))) != v5 | K(u,K(w,(y * x) \ z)) = v5. K(x,K(y,(z * u) \ w)) = K(x,K(y,u \ (z \ w))). K(x,K(y,z)) * u != K(z,K(x,L(y,w,v5))) | 1 = u. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. K(x,K(y,z)) * (u * w) = (K(y,K(z,x)) * u) * w. (K(x,K(y,z)) * u) * w = K(z,K(x,y)) * (u * w). a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. a(K(x,K(y,z)),u,w) = 1. L(K(x,K(y,z)),u,w) = K(x,K(y,z)). a(x,y,K(z,K(u,w))) * v5 = v5. L(x,y,K(z,K(u,w))) = x. (K(x,K(y,z)) * ((z * u) * w)) * 1 = (T(z,K(x,y)) * u) * w. L(x,y,T(z,K(u,w))) = L(x,y,z). L(T(x,a(y,z,u)),z,K(y,u)) != w | x = w. x = T(x,a(y,z,K(u,w))). T(x,a(y,z,K(u,w))) = x. 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). L(x,y,K(z,K(u,w))) != v5 | x = v5. K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. (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)))). x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). L(x,y,T(z,K(u,w))) != v5 | L(x,y,z) = v5. x * (y * K(z,K(u,w))) = (x * y) * K(z,K(u,w)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). T(x,L(y,z,K(u,w))) = T(x,y). T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. x != y * a(z,u,K(w,v5)) | a(z,u,K(w,v5)) * y = x. x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. T(x,K(a(y,z,u),w)) = x. x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). K(x,L(y,z,K(u,w))) = K(x,y). a(x,y,z) * K(u,w) = K(u,w) * a(x,y,z). K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). T(x,y \ (K(z,u) * w)) = T(x,(K(z,u) \ y) \ w). T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(y,z) * w)). K(x,(y \ K(z,u)) * w) = K(x,y \ (w * K(z,u))). K(x,y \ (z * K(u,w))) = K(x,(y \ K(u,w)) * z). K(L(x,y,K(z,u)),w) = K(x,w). K(x \ (K(y,z) * u),L(w,K(y,z) * u,K(z,y))) != v5 | K((K(z,y) * x) \ u,w) = v5. K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). (K(x,y) / z) * K(u,w) = K(x,y) * (z \ K(u,w)). K(x,y) * ((x * z) * K(u,T(w,T(x,y) * z))) = K(u,w) * (T(x,y) * z). L(x,y,T((x * y) \ z,K(x,y))) != u | ((z / (x * y)) * y) \ (z * K(y,x)) = u. ((x / (y * z)) * z) \ (x * K(z,y)) = L(y,z,(y * z) \ x). 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,T(u,w))) = L(x,y,T(z,u)). R(x,y,K(z,K(u,w))) != v5 | x = 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))) = K(x,K(y,(u \ z) \ w)). K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). K(x,K(L(y,z,u),w)) = K(x,K(w,y)). K((x * y) * z,K(u,L(T(x,y * z),y,z))) != w | K((x * y) * z,K(y * z,u)) = w. K((x * y) * z,K(y * z,u)) = K((x * y) * z,K(u,T(x,y * z))). K((x * y) * z,K(u,T(x,y * z))) = K((x * y) * z,K(y * z,u)). x * K(y,K(x,z)) = T(x,K(y,L(z,u,w))). T(x,K(y,L(z,u,w))) = x * K(y,K(x,z)). K(x,K(y,z)) * K(x,L(z,u,w)) = T(K(x,L(z,u,w)),y). K(x,K((y * z) \ u,w)) = K(x,K(z \ (y \ u),w)). K(x \ (y * z),K(u,w)) = K((y \ x) \ z,K(u,w)). K((x \ y) \ z,K(u,w)) = K(y \ (x * z),K(u,w)). (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. K(x,L(y,z,u) * w) = K(x,T(w * L(y,z,u),y)). K(x,T(y * L(z,u,w),z)) = K(x,L(z,u,w) * y). K(x,T(y * (L(y,z,u) \ w),L(y,z,u))) != v5 | K(x,(y * w) / L(y,z,u)) = v5. K(x,(y * z) / L(y,u,w)) = K(x,T(y * (L(y,u,w) \ z),y)). K(x,T(y * (L(y,z,u) \ w),y)) = K(x,(y * w) / L(y,z,u)). K(x,T(y,(z * u) \ w)) = K(x,T(y,u \ (z \ w))). K(x,T(y,z \ (u * w))) = K(x,T(y,(u \ z) \ w)). K(x,T(y,(z \ u) \ w)) = K(x,T(y,u \ (z * w))). K(x * y,K(L(z,x,y),u)) != w | K((T(z,u) * x) * y,(z * x) * y) = w. K((T(x,y) * z) * u,(x * z) * u) = K(z * u,K(y,x)). T(K(a(x,y,z),u),w) = a(x,y,K(z,u)). K(x,y) * (z * a(u,w,K(v5,v6))) = (K(x,y) * z) * a(u,w,K(v5,v6)). (K(x,y) * z) * a(u,w,K(v5,v6)) = K(x,y) * (z * a(u,w,K(v5,v6))). K(x,L(y,z,u)) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,T(u,w))) = K(x,L(y,z,u)). (K(x,y) / x) * ((y * x) * K(z,L(u,y * x,x))) = L(y,x,x \ 1) * K(z,u). T(K(a(x,y,z),u),w) != v5 | a(x,y,K(z,T(u,w))) = v5. a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). x != a(y,z,K(u,w)) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = a(u,y,K(x,T(z,w))). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z \ u,w)) = a(x,y,K(u / z,w)). a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). x * a(x,y,K(z,u)) = T(x,a(T(u,w),y,z)). T(x,a(T(y,z),u,w)) = x * a(x,u,K(w,y)). a(x,y,K(z,T(u,w))) != v5 | a(z,y,K(u,x)) = v5. a(x,y,K(z \ y,T(T(u,w),v5))) != v6 | a(T(T(u,v5),w * u),z,K(x,z \ y)) = v6. a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(u \ v5,v5,K(T(x,z),w)). a(x,T((y \ z) \ 1,z),K(z,T(u,y))) != w | a(x,y,K(((y \ z) \ 1) \ y,u)) = w. a(x,y,K(((y \ z) \ 1) \ y,u)) = a(z,T((y \ z) \ 1,z),K(u,x)). a(x,T((y \ x) \ 1,x),K(z,u)) = a(u,y,K(((y \ x) \ 1) \ y,z)). a(x,y,K(z,u * w)) = a(z,y,K(w * u,x)). a(x,y,K(z * u,w)) = a(w,y,K(x,u * z)). a(x,y,K(z * u,w)) = a(u * z,y,K(w,x)). a(x * y,z,K(u,w)) = a(w,z,K(y * x,u)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. L(x,y,K(z,u) * w) != v5 | L(x,y,w * K(z,u)) = v5. x != y * K(z,K(y,u)) | T(y,K(z,u)) = x. T(x,K(y,z)) = T(x,K(y,L(z,u,w))). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). T(x,K((y * z) \ u,w)) = x * K(z \ (y \ u),K(x,w)). x * K(y \ (z \ u),K(x,w)) = T(x,K((z * y) \ u,w)). x \ T(y * T(x,K(z,u)),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). K(x,K((y * z) \ u,w)) != v5 | K(x,K(z \ (y \ u),w)) = v5. K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. T(x,a(y,z,u)) * w = (x * w) * a(x,z,K(u,y)). (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. T(x,a(y,z,u)) * w = (x * w) * a(u,z,K(y,x)). (x * y) * a(z,u,K(w,x)) = T(x,a(w,u,z)) * y. T(x,a(y,z,u)) * w = (x * w) * a(y,z,K(x,u)). (x * y) * a(z,u,K(x,w)) = T(x,a(z,u,w)) * y. x != y * a(z,u,K(w,v5)) | y / a(v5,u,K(w,z)) = x. x / a(y,z,K(u,w)) = a(w,z,K(u,y)) * x. x != (y / z) * a(u,w,K(z,v5)) | y / T(z,a(v5,w,u)) = x. x / T(y,a(z,u,w)) = a(w,u,K(y,z)) * (x / y). a(x,y,K(z,u)) * (w / z) = w / T(z,a(u,y,x)). x != (y * z) * a(u,w,K(v5,z)) | y * T(z,a(v5,w,u)) = x. x * T(y,a(z,u,w)) = a(w,u,K(z,y)) * (x * y). a(x,y,K(z,u)) * (w * u) = w * T(u,a(z,y,x)). x != (y * z) * a(u,w,K(z,v5)) | y * T(z,a(u,w,v5)) = x. x * T(y,a(z,u,w)) = a(z,u,K(y,w)) * (x * y). a(x,y,K(z,u)) * (w * z) = w * T(z,a(x,y,u)). a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) \ w = v5. a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). a(x,y,K(z,u)) * w = w * a(K(u,z),y,x). K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. (x * y) * a(x,z,K(u,w)) != v5 | T(x,a(w,z,u)) * y = v5. x != K(y,L(z,u,w)) | a(z,u,K(y,w)) * K(y,z) = x. a(x,y,K(z,u \ w)) * K(z,x) = K(z,L(x,y,w / u)). a(x,y,K(z,u \ y)) * (K(x,T(z,y)) * u) = (y * K(x,z)) * (y \ u). T(x,a(y,z,u)) = T(x,a(T(y,w),z,u)). T(x,a(T(y,z),u,w)) = T(x,a(y,u,w)). T(a(T(x,y),z,u) * w,a(x,z,u)) != v5 | w * a(T(x,y),z,u) = v5. a(x,y,K(z * u,w)) != v5 | a(u * z,y,K(w,x)) = v5. a(x,y,K(z * u,w)) != v5 | a(w,y,K(x,u * z)) = v5. (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. a(x,y,K(z,u)) \ L(z,y,x) != w | L(z,y,T(x,u)) = w. L(x,y,T(z,u)) = L(x,y,z) * a(u,y,K(x,z)). L(x,y,z) * a(u,y,K(x,z)) = L(x,y,T(z,u)). a(x,y,K(z,u * x)) * w = w * a(K(x,u),y,z). a(x,y,K(z,u / w)) != v5 | a(x,y,K(z,w \ u)) = v5. a(T(x,y),z,K(u,w)) != v5 | a(u,z,K(w,x)) = v5. x * T(x \ L(x,y,z),u) = L(x,y,T(z,u)). x != L(y \ 1,z \ 1,T(u \ 1,w)) | R(y,z,T(u,w)) \ 1 = x. R(x,y,T(z,u)) \ 1 = (x \ 1) * T((x \ 1) \ L(x \ 1,y \ 1,z \ 1),u). (x \ 1) * T((x \ 1) \ L(x \ 1,y \ 1,z \ 1),u) = R(x,y,T(z,u)) \ 1. x \ L(x,y,T(z,u)) = T(x \ L(x,y,z),u). T(x \ L(x,y,z),u) = x \ L(x,y,T(z,u)). ((x / y) * L(y,z,T(u,w))) \ x = T(((x / y) * L(y,z,u)) \ x,w). T(((x / y) * L(y,z,u)) \ x,w) = ((x / y) * L(y,z,T(u,w))) \ x. (x * (y * (y \ L(y,z,u)))) * K(y \ L(y,z,u),L(w,y,x)) = x * L(y,z,T(u,w)). x * T(x \ L(x,y,z),u) != w | L(x,y,T(z,u)) = w. x / L(T(y \ L(y,z,u),w),y,L(y,z,T(u,w)) \ x) = (x / L(y,z,T(u,w))) * y. T(x \ L(x,x,y),z) = x \ L(x,x,y). x \ L(x,x,y) != z | T(x \ L(x,x,y),u) = z. K(x \ y,K(z,(x * T(x \ y,z)) \ (y * u))) != w | K(u,K(x \ y,z)) = w. K(x,K(y \ z,u)) = K(y \ z,K(u,T(y \ z,u) \ (y \ (z * x)))). K(x \ y,K(z,T(x \ y,z) \ (x \ (y * u)))) = K(u,K(x \ y,z)). (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. (K(x,K(y,z)) * u) \ w = u \ (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). (x * y) * K(z,K(u,w)) = x * (K(z,K(w,u)) * y). K(x,L(y,z,K(u,w)) \ ((y * z) * K(u,u * w))) != v5 | K(x,K(w,u) * z) = v5. K(x,K(y,z) * u) = K(x,(L(w,u,K(z,y)) \ K(z,z * y)) * (w * u)). K(x,(L(y,z,K(u,w)) \ K(u,u * w)) * (y * z)) = K(x,K(w,u) * z). K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(x / (K(y,z) * u),w) = K(u \ (K(z,y) * x),T(w,x)). K(x \ (K(y,z) * u),T(w,u)) = K(u / (K(z,y) * x),w). (K(x,y) * K(z,u)) * K(x \ (K(z,u) * T(x,y)),K(u,z) * x) = (K(u,z) * x) \ T(x,y). (K(x,y) * z) * K(u,T(y,w)) != v5 | K(u,T(T(y,z),w)) * (K(x,y) * z) = v5. K(x,T(T(y,z),u)) * (K(w,y) * z) = K(w,y) * (z * K(x,T(y,u))). (K(x,y) * z) * K(u,T(T(y,z),x)) != w | (y * z) / T(T(T(y,z),x),u) = w. (x * y) / T(T(T(x,y),z),u) = K(z,x) * (y * K(u,T(T(x,y),z))). K(x,y) * (z * K(u,T(T(y,z),x))) = (y * z) / T(T(T(y,z),x),u). (K(x,y) / z) * K(u,w) != v5 | (z * K(y,x)) \ K(u,w) = v5. (x * K(y,z)) \ K(u,w) = K(z,y) * (x \ K(u,w)). K(x,K(y,z \ x)) != u | K(x,K(z,y)) = u. K(x,K(y \ z,u)) = K(x,K(u,z \ (y * x))). K(x,K(y,z \ (u * x))) = K(x,K(u \ z,y)). K(x,K(y,z \ (u * w))) * K(x,y \ ((u \ z) \ w)) = K(x,((u \ z) \ w) / y). K((x \ K(x,y)) \ z,K(u,w)) != v5 | K(u,K(x * (u \ z),w)) = v5. K(x,K(y * (x \ z),u)) = K(K(y,w) \ (y * z),K(x,u)). K(K(x,y) \ (x * z),K(u,w)) = K(u,K(x * (u \ z),w)). K(x,T(y * ((y \ z) * u),u)) = K(x,L(u,y \ z,y) * z). K(x,T(y,z * (u * w))) = K(x,T(y,w \ (u \ z))). K(x,T(y,z \ (u \ w))) = K(x,T(y,w * (u * z))). K(x,T(y,z \ (u * w))) != v5 | K(x,T(y,z \ (w * u))) = v5. K(x,T(y,(z * u) \ (w * v5))) = K(x,T(y,u \ (z \ (v5 * w)))). K(x,T(y,(z \ T(u * z,w)) \ v5)) = K(x,T(y,K(u * z,w) \ (T(u,z) \ v5))). K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,(u \ T(z * u,w)) \ v5)). K(x,T(y,z * (u \ w))) = K(x,T(y,w \ (u * z))). K(x,T(y,z \ (u * w))) = K(x,T(y,w * (u \ z))). K(x,T(y,z \ T(u,w))) != v5 | K(x,T(y,u \ z)) = v5. K(x,T(y,z \ (u \ w))) = K(x,T(y,w \ (u * T(z,v5)))). K(x,T(y,z \ (u * T(w,v5)))) = K(x,T(y,w \ (u \ z))). (T(x,a(y,z,u)) * y) \ (y * x) = K(y,x) * a(K(y,x),z,u). (x * y) * a(z,u,K(x,w)) = L(x,u,K(w,z)) * y. a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). a(x,y,K(z,u)) * ((x * y) * z) != w | T(a(x,y,z),u) * (x * (y * z)) = w. T(a(x,y,z),u) * (x * (y * z)) = (x * y) * T(z,a(x,y,u)). K(a(x,y,z),u * x) * w = w * a(K(x,u),y,z). x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). a(x,y,z * K(u,K(w,v5))) = (x * (K(u,K(w,v5)) * (y * z))) \ ((x * y) * (z * K(u,K(w,v5)))). (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * w) = u * (K(z,K(y,x)) * w). (x * K(y,z)) \ K(u,T(w,x)) != v5 | K(u,w) / (x * K(y,z)) = v5. K(x,y) / (z * K(u,w)) = K(w,u) * (z \ K(x,T(y,z))). K(x,y) * (z \ K(u,T(w,z))) = K(u,w) / (z * K(y,x)). (x * a(y,z,K(u,w))) \ K(v5,v6) = K(a(w,z,u),y) * (x \ K(v5,v6)). K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))). K(x,T(y,(z * u) * w)) = K(x,T(y,u * (z \ w))). T(x * y,a(y,z,u)) \ (y * x) = K(y,x) * a(K(y,x),z,u). x != y * K(z,K(u,w)) | K(u,K(z,w)) * y = x. K(x,K(y,z)) * (u \ w) = u \ (K(y,K(x,z)) * w). x \ (K(y,K(z,u)) * w) = K(z,K(y,u)) * (x \ w). x \ (K(y,K(z,u)) * w) != v5 | (K(y,K(z,u)) * x) \ w = v5. (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). (x * (K(y,K(z,u)) * w)) * v5 = K(y,K(u,z)) * ((x * w) * v5). K(x,T(y,(z \ u) * a(z,w,w \ 1))) = K(x,T(y,u * R(z,w,w \ 1))). K(x,T(y,(z * u) * w)) != v5 | K(x,T(y,w * (u * z))) = v5. K(x,T(y,z * (u * w))) = K(x,T(y,u * (w \ z))). K(x,T(y,z * (u \ w))) = K(x,T(y,w * (z * u))). x \ K(y,T(z,u)) = K(u,K(y,z)) * (x \ K(y,z)). K(x,K(y,z)) * (u \ K(y,z)) = u \ K(y,T(z,x)). x != y * K(z,K(u,w)) | K(z,K(w,u)) * y = x. 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,y * ((K(z,K(u,w)) * v5) \ v6)) = K(x,y * (v5 \ v6)). (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). K(x,T(y,(z * u) * ((u \ 1) \ w))) = K(x,T(y,w * R(z,u,u \ 1))). K(x \ K(y,T(z,u)),w) = K(x \ K(y,z),w). K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). (x * K(y,K(z,u))) \ w = K(y,K(u,z)) * (x \ w). (K(x,K(y,z)) * (u \ w)) * (K(u,(u * K(x,K(z,y))) \ w) * v5) = (w / (u * K(x,K(z,y)))) * v5. x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. K(x,L(y,z,u \ 1)) != w | a(x,z,K(y,u)) * K(x,y) = w. K(x,y) * a(x,z,K(y,u \ w)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,y) * a(x,z,a(u,w,K(v5,y))) != v6 | K(x,L(y,z,a(u,w,v5))) = v6. K(x,K(y,z)) * K(z,L(x,u,w)) = T(K(z,L(x,u,w)),y). K((T(x,y) * z) * u,(x * z) * u) != w | K((x * z) * u,K(z * u,y)) = w. K((x * y) * z,K(y * z,u)) = K(y * z,K(u,x)). x * y != T(x,K(z,u)) | K(z,K(u,x)) = y. K((x * y) \ z,K(u,w)) = K(y \ (x \ z),K(w,u)). K(x,K(y \ (z \ u),w)) = K((z * y) \ u,K(w,(y \ (z \ u)) \ x)). K((x * y) \ z,K(u,(y \ (x \ z)) \ w)) = K(w,K(y \ (x \ z),u)). K(T(x * y,K(y,z)) \ u,K(w,v5)) = K(y \ (T(x,K(y,z)) \ u),K(v5,w)). K((x * (y * K(x,z))) \ u,K(w,v5)) = K(y \ (T(T(x,z),K(y,z)) \ u),K(v5,w)). a(x,y,K(z,z \ (u \ w))) * K(z,x) = K(z,L(x,y,w / (u * z))). K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. (x * K(y / (K(z,u) * w),v5)) \ x = K(v5,(K(u,z) * y) / w). K(K(x,y) * (y * z),K(u,w)) = K(u,K(y * (u \ z),w)). K(x,T(y,z \ (u * w))) = K(x,T(y,u \ (w \ z))). 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,w \ ((z \ 1) * u))). K(x,T(y,z \ ((u \ 1) * w))) = K(x,T(y,u * (w \ z))). K(x,y) * (K(z,u) / w) = K(z,u) / (w * K(y,x)). K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). 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(x,y * (z \ K(u,T(w,v5)))) = x * K(x,y * (z \ K(u,w))). K(x,K(y,z)) * K(z,L(x,u,w)) = T(K(z,T(L(T(x,v5),u,w),v5)),y). T(K(x,T(L(T(y,z),u,w),z)),v5) = K(y,K(v5,x)) * K(x,L(y,u,w)). K(x,K(y,z * u)) = K(x,K(z * (x \ u),y)). K(x,K(y * (x \ z),u)) = K(x,K(u,y * z)). K(x,K(y,(x \ z) * u)) = K(x,K(y,u * z)). K(x,K(y,z * u)) = K(x,K(y,u * (x * z))). K(x,K(y,z * (x * u))) = K(x,K(y,u * z)). K(K(x,y) / x,K(z,u * L(y,x,x \ 1))) = K(K(x,y) / x,K(z,(y * x) * u)). K(x,T(y,z \ (u * w))) != v5 | K(x,T(y,w * (u \ z))) = v5. K(x,T(y,z * ((u \ 1) \ w))) = K(x,T(y,u * (z \ w))). ((x / (y * z)) * z) \ (x * K(z,y)) != u | L(y,T(z,y),x / (z * y)) = u. L(x,T(y,x),z / (y * x)) = L(x,y,(x * y) \ z). L(x,T(y,x),z) != u | L(x,y,z) = u. L(x,y,z / (y * x)) = L(x,y,(x * y) \ z). L(x,y,z / (y * x)) != u | L(x,y,(y * x) \ z) = u. L(x,y,(y * x) \ z) = L(x,y,(x * y) \ z). L(x,y,L(T(z,y) / x,x,y)) = L(x,y,(x * y) \ ((x * (z / x)) * y)). L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,L(T(z,y) / x,x,y)). K(x \ (y \ z),K(u,w)) != v5 | K(u,K(w,z \ (y * x))) = v5. x / (K(y,L(z,u \ w,u) * w) * x) = K(T(u * ((u \ w) * z),z),y). K(T(x * ((x \ y) * z),z),u) = w / (K(u,L(z,x \ y,x) * y) * w). K(x,K(y,z)) * ((z * u) * w) = (T(z,K(x,y)) * u) * w. ((T(x,K(y,z)) * u) * w) \ (K(y,K(z,x)) * ((x * u) * (w * v5))) = L(L(v5,w,x * u),(x * u) * w,K(y,K(z,x))). x \ (y * x) = T(y,K(z,a(u,w,v5)) * x). T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). T(x,y) = T(x,K(z,a(u,w,v5)) * y). T(x,K(y,a(z,u,w)) * v5) = T(x,v5). T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. T(x,y * K(a(z,u,w),v5)) = T(x,y). T(x,y * a(z,u,K(w,v5))) = T(x,y). L(x,a(y,z,K(u,w)),v5) * (v5 * a(y,z,K(u,w))) = T(v5 * (a(y,z,K(u,w)) * x),v5). K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). K(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = K(x,y). K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). T(x,K(y,z)) / ((z * a(u,w,K(v5,v6))) * T((z * a(u,w,K(v5,v6))) \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). K(x,y \ (z * K(u,w))) = K(x,(y \ z) * K(u,w)). K(x,y * L(z,u,K(w,v5))) = K(x,y * z). K(x,K(y,z) * (u * w)) = K(x,(K(y,z) * u) * w). K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). K(x,L(y,z,K(u,w)) * v5) = K(x,y * v5). 1 / K(x,y) = K(a(z,u,K(w,v5)) * y,x). K(a(x,y,K(z,u)) * w,v5) = 1 / K(v5,w). K(x,K(a(y,z,u),w) * v5) = K(x,v5). K(x,y / L(z,u,K(w,v5))) = K(x,y / z). K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. K(x,y * (z * K(a(u,w,v5),v6))) = K(x,y * z). K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (w \ (K(u,z) * v5))). K(x,T(y,L(z,u,w)) * v5) = K(x,T(y,z) * v5). K(x,y) = K(a(z,u,K(w,v5)) * x,y). K(a(x,y,K(z,u)) * w,v5) = K(w,v5). K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). K(x,(y \ (z * u)) / L((y \ z) * u,z,K(u,y))) != w | a(u,z,K(y,x)) = w. a(x,y,K(z,u)) = K(u,(z \ (y * x)) / ((z \ y) * x)). K(x,(y \ (z * u)) / ((y \ z) * u)) = a(u,z,K(y,x)). T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. T(x,(a(y,z,u) * w) \ v5) != v6 | T(x,(w * a(y,z,u)) \ v5) = v6. K(x,y * (z * (u * w))) = K(x,y * (z * (u * T(w,a(v5,v6,v7))))). K(x,y * (z * (u * T(w,a(v5,v6,v7))))) = K(x,y * (z * (u * w))). K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). K(x,R(y,z,u) * w) = K(x,T(w,y) * R(y,z,u)). K(x,T(y,z) * R(z,u,w)) = K(x,R(z,u,w) * y). K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). K(x,(y * z) * K(u,w)) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y \ (K(z,u) * w)) = K(x,(y \ w) * K(z,u)). x != K(y,z * K(u,w)) | K(y,K(u,w) * z) = x. K(x,K(y,z) * (u \ w)) = K(x,u \ (w * K(y,z))). K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(w,L(v5,u,z))). K(x,(y \ (z * u)) * K(w,L(v5,u,z))) = K(x,y \ (z * (u * K(w,v5)))). K(x,y \ (z * K(u,w))) != v5 | K(x,K(u,w) * (y \ z)) = v5. K(x,(K(y,z) * u) * w) != v5 | K(x,(u * K(y,z)) * w) = v5. K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (y * w)). K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). K(x * (y * K(z,u)),w) != v5 | K(K(z,u) * (x * y),w) = v5. K(x,T(K(y,z) * u,w) * R(K(y,z),v5,v6)) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). x != K(y,z * (u * K(w,v5))) | K(y,z * (K(w,v5) * u)) = x. K(x,y * (K(z,u) * w)) = K(x,K(z,u) * (y * w)). K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). K(x,K(y,z) * (u * w)) != v5 | K(x,(K(y,z) * u) * w) = v5. K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). 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 \ (K(y,z) * w)). K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). 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. x != K(y,K(z,u) * (w * v5)) | K(y,w * (v5 * K(z,u))) = x. K(x,y * (z * K(u,w))) = K(x,(y * K(u,w)) * z). K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). K(K(x,y) * (z * u),w) = K(z * (u * K(x,y * x)),w). K(x * (y * K(z,u * z)),w) = K(K(z,u) * (x * y),w). K(x,y \ (z * (u * K(w,v5)))) * K(K(w,v5) * (z * u),K(x,y)) = K(x,(z * (u * K(w,v5))) / y). x != K(y,z * (K(u,T(w,v5)) * (v6 * T(u,v5)))) | K(y,z * (T(T(u,v5),w) * T(v6,u))) = x. K(x,y * (T(T(z,u),w) * T(v5,z))) = K(x,K(z,T(w,u)) * (y * (v5 * T(z,u)))). K(x,K(y,T(z,u)) * (w * (v5 * T(y,u)))) = K(x,w * (T(T(y,u),z) * T(v5,y))). K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,(K(y,z) * u) * T(w,u)) != v5 | K(x,w * (u * K(y,z))) = v5. K(x,y * (z * K(u,w))) = K(x,z * (T(y,z) * K(u,w))). K(x,y * (T(z,y) * K(u,w))) = K(x,z * (y * K(u,w))). K(x * (y / x),z) != u | K(y,T(z,x)) = u. K(x,T((K(y,z) * u) * w,v5)) = K(v5 * (x / v5),u * (w * K(y,z))). K(x * (y / x),z * (u * K(w,v5))) = K(y,T((K(w,v5) * z) * u,x)). T(T(x,K(y,z * (u * K(w,v5)))),((K(w,v5) * z) * u) \ y) = T(x,y / ((K(w,v5) * z) * u)). K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(y,L(z,u,w)))). K(x,(y * z) * (u * K(w,L(v5,y,z)))) = K(x,((K(w,v5) * y) * z) * u). x * (a(x,y,K(z,K(x,z) * (u \ y))) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). x != K(y,z * ((u / w) * K(u,v5))) | K(y,z * (T(u,v5) / w)) = x. K(x,y * (T(z,u) / w)) = K(x,(y * K(z,u)) * (z / w)). K(x,(y * K(z,u)) * (z / w)) = K(x,y * (T(z,u) / w)). 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)) * (z / w)) != v5 | K(x,y * (T(z,u) / w)) = v5. K(x,K(y,z \ 1) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) * (u * (w \ 1))) = K(x,u * (w \ K(z,y \ 1))). 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)). x / (K(y,z \ (u * T(w,v5))) * x) = K(K(w,v5) * (z \ (u * w)),y). K(K(x,y) * (z \ (u * x)),w) = v5 / (K(w,z \ (u * T(x,y))) * v5). K(x,y \ (z * (u * K(w,v5)))) = K(x,y \ (z * (K(w,v5) * u))). K(x,y \ (z * (K(u,w) * v5))) = K(x,y \ (z * (v5 * K(u,w)))). K(x * (y * K(z,u * z)),w) != v5 | K(x * (K(z,z * u) * y),w) = v5. K(x * (K(y,y * z) * u),w) = K(K(y,z) * (x * u),w). K(x,(y / z) * (z / u)) = K(x,(z \ y) * (T(z,y) / u)). K(x,(y \ z) * (T(y,z) / u)) = K(x,(z / y) * (y / u)). K(x,(y * z) * u) = K(x,(y * T(z,K(w,v5))) * u). K(x,(y * T(z,K(u,w))) * v5) = K(x,(y * z) * v5). K(x,y * (T(z,y) * K(u,w))) != v5 | K(x,z * (y * K(u,w))) = v5. K(x,y * ((z * u) * K(u,w))) = K(x,(z * T(u,w)) * T(y,z * u)). K(x,(y * T(z,u)) * T(w,y * z)) = K(x,w * ((y * z) * K(z,u))). K(x,(y * z) * (u * K(z,T(w * K(v5,v6),v5)))) = K(x,(y * T(z,(v5 \ w) * T(v5,v6))) * 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 * T(z,T(u,w))) * v5) = K(x,(y * T(z,u)) * v5). K(x * (K(y,z \ y) * u),w) = K(K(y,z \ 1) * (x * u),w). K(K(x,y \ 1) * (z * u),w) = K(z * (K(x,y \ x) * u),w). K(x,T(T(y,T(z,u)),w) * v5) = K(x,(K(y,T(w,T(z,u))) * T(y,z)) * v5). K(x,(K(y,T(z,T(u,w))) * T(y,u)) * v5) = K(x,T(T(y,T(u,w)),z) * v5). K(x,(y * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. K(x,(L(y,z,u) \ w) * y) = K(x,(y * w) / L(y,z,u)). K(x,(y * z) / L(y,u,w)) = K(x,(L(y,u,w) \ z) * y). K(x,y * (z / L(y,u,w))) = K(x,(L(y,u,w) \ z) * y). K(x,(L(y,z,u) \ w) * y) = K(x,y * (w / L(y,z,u))). K(a(x,x \ y,y \ z),u) * z = (x * (x \ y)) * T(y \ z,a(x,x \ y,u)). x \ (y * z) != K(y,z) * a(K(y,z),u,w) | T(z,a(y,u,w)) * y = x. T(x,a(y,z,u)) * y = T(x * y,a(y,z,u)). T(x * y,a(y,z,u)) = T(x,a(y,z,u)) * y. K(x,y * (z * (u * K(w,T(v5,v6))))) = K(x,y * (z * (u * K(w,v5)))). R(x,K(y,K(z,u)) * w,v5) = (K(y,K(u,z)) * ((x * w) * v5)) / ((K(y,K(z,u)) * w) * v5). (K(x,K(y,z)) * ((u * w) * v5)) / ((K(x,K(z,y)) * w) * v5) = R(u,K(x,K(z,y)) * w,v5). K(x / (K(y,z) * u),w) = K((K(z,y) * x) / u,w). K((K(x,y) * z) / u,w) = K(z / (K(y,x) * u),w). K(x,y / (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 / (K(z,u) * w),v5) | K(y * (w \ K(u,z)),v5) = x. K(x * (y \ K(z,u)),w) = K((K(z,u) * x) / y,w). K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). T(x,T(y \ (K(z,u) * w),w)) = x * K(x,w / (K(u,z) * y)). K(x / (1 / y),z) != u | K(x * y,z) = u. K((K(x,y) * z) * u,w) = K(z * ((1 / u) \ K(x,y)),w). K(x * ((1 / y) \ K(z,u)),w) = K((K(z,u) * x) * y,w). K(x * (y * K(z,u)),w) = K((K(z,u) * x) * y,w). K((K(x,y) * z) * u,w) = K(z * (u * K(x,y)),w). K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. K((x * K(y,z)) * u,w) = K(x * (u * K(y,z)),w). K((x \ T(y,z)) * u,w) = K((x \ y) * (u * K(y,z)),w). K((x \ y) * (z * K(y,u)),w) = K((x \ T(y,u)) * z,w). K((x \ (y * z)) * u,w) = K((x \ (z * y)) * (u * K(y,z)),w). K((x \ (y * z)) * (u * K(z,y)),w) = K((x \ (z * y)) * u,w). K(K(x,y) * ((z \ x) * u),w) = K((z \ T(x,y)) * u,w). K((x \ y) * (z * K(y,u)),w) != v5 | K((x \ T(y,u)) * R(z,(x \ T(y,u)) / (x \ y),x \ y),w) = v5. K((x \ T(y,z)) * R(u,(x \ T(y,z)) / (x \ y),x \ y),w) = K((x \ T(y,z)) * u,w). K((x \ (y * z)) * (u * K(z,y)),w) = K((x \ T(y * z,y)) * u,w). K(K(x,y) * ((z \ y) * u),w) = K((z \ T(y,x)) * u,w). T(x,y * (z \ K(u,w))) = T(x,y * (z \ K(u,T(w,v5)))). T(x,y * (z \ K(u,T(w,v5)))) = T(x,y * (z \ K(u,w))). T(x,T(y \ K(z,T(u,w)),v5)) = T(x,K(y \ K(z,T(u,w)),v5) * (y \ K(z,u))). T(x,K(y \ K(z,T(u,w)),v5) * (y \ K(z,u))) = T(x,T(y \ K(z,T(u,w)),v5)). a(x,y,K(z,u * (w \ (K(v5,v6) * v7)))) * K(z,x) = K(z,L(x,y,u * ((K(v6,v5) * w) \ v7))). K(x,y * (K(z,u) * (w \ v5))) = K(x,y * (w \ (v5 * K(z,u)))). K(x,y * (z \ (u * K(w,v5)))) = K(x,y * (K(w,v5) * (z \ u))). K(x,K(y,z) * (u * (w \ 1))) != v5 | K(x,u * (w \ K(y,z))) = v5. K(x,y * (z \ K(u,w))) = K(x,y * (z \ K(w,u \ 1))). K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(w,u))). K(K(x,y) * (z * u),w) = K(z * (K(y,x \ y) * u),w). K(x * (K(y,z \ y) * u),w) = K(K(z,y) * (x * u),w). T(x,y / (K(z,u) * w)) = T(x,T(w \ (K(u,z) * y),y)). T(x,T(y \ (K(z,u) * w),w)) = T(x,w / (K(u,z) * y)). T(x,(K(y,z) * u) / w) = T(x,u / (K(z,y) * w)). x != T(y,z / (K(u,w) * v5)) | T(y,z * (v5 \ K(w,u))) = x. T(x,y * (z \ K(u,w))) = T(x,(K(u,w) * y) / z). T(x,(K(y,z) * u) / w) = T(x,u * (w \ K(y,z))). T(x,(K(y,T(z,u \ w)) * w) / u) != v5 | T(x,u \ (T(w,u \ a(v6,v7,v6)) * K(y,z))) = v5. T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,z / (K(T(v6,y \ z),v5) * y)). T(x,T(y,z) / u) = T(x,y * (u \ K(y,z))). T(x,y * (z \ K(y,u))) = T(x,T(y,u) / z). T(T(x,T(y,z) / u),K(w,T(y,z) / u)) = T(x,T(y * (u \ K(y,z)),w)). K(x,y * (z \ (K(u,w) * v5))) = K(x,y * (K(u,w) * (z \ v5))). K(x,y * (z \ (u * K(w,v5)))) != v6 | K(x,y * ((z \ u) * K(w,v5))) = v6. K(x,y * (z \ (K(u,w) * v5))) != v6 | K(x,y * ((K(w,u) * z) \ v5)) = v6. K(x,y * ((K(z,u) * w) \ v5)) = K(x,y * (K(u,z) * (w \ v5))). K(x,T(y * (z \ (K(u,w) * v5)),v6)) = K(v6 * (x / v6),y * (K(u,w) * (z \ v5))). K(x * (y / x),z * (K(u,w) * (v5 \ v6))) = K(y,T(z * (v5 \ (K(u,w) * v6)),x)). K(x,y / z) = K(x,y * (K(u,w) * (z \ K(w,w * u)))). K(x,y * (K(z,u) * (w \ K(u,u * z)))) = K(x,y / w). K(x,y * (K(z,u) * (w \ K(u,u * z)))) != v5 | K(x,y / w) = v5. K(x,L(y,z,(u \ w) \ 1)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,y * (z * (K(u,w) * (v5 * v6)))) = K(x,y * (z * ((K(u,w) * v5) * v6))). K(x,y * (z * ((K(u,w) * v5) * v6))) = K(x,y * (z * (K(u,w) * (v5 * v6)))). K(x,K((x * y) * z,u)) = K((x * y) * z,K(y * z,u)). K((x * y) * z,K(y * z,u)) = K(x,K((x * y) * z,u)). K((x * y) * z,K(y * z,u)) != w | K(y * z,K(u,x)) = w. K(x * y,K(z,u)) = K(u,K((u * x) * y,z)). K(x,K((x * y) * z,u)) = K(y * z,K(u,x)). K(x,K(y,z * (u * x))) = K(u * z,K(y,x)). K(x,K((y * x) * z,u)) = K(y * z,K(u,x)). a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(u \ v5,v5,K(x,T(w,z))). a(x,T(y,x),z) != u | a(x,y,z) = u. a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K(((y \ x) \ 1) \ y,z)). a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K((y \ x) * y,z)). a(x,(y \ x) \ 1,K(z,u)) = a(u,y,K(x,T(z,y))). x != a(y,z,K(u,T(w,v5))) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = a(x,(y \ x) \ 1,K(z,u)). a(x,(y \ x) \ 1,K(z,u)) = a(x,y,K(z,u)). x != ((y / z) * L(z,u,w)) \ y | (y / z) \ (y / L(z,u,w)) = x. (x / y) \ (x / L(y,z,T(u,w))) = T(((x / y) * L(y,z,u)) \ x,w). T(((x / y) * L(y,z,u)) \ x,w) = (x / y) \ (x / L(y,z,T(u,w))). K(x,K(y,T(x,z) \ u)) != w | K(u,K(x,y)) = w. K(x \ (y * z),K(x \ y,u)) = K(z,K(x \ y,u)). K(x \ y,K(x \ (y * z),u)) = K(z,K(x \ y,u)). K(x,y * (K(z,u) * (w * K(v5,T(u,z))))) = K(x,y * ((u * w) / T(T(T(u,w),z),v5))). K(x,y * ((z * u) / T(T(T(z,u),w),v5))) = K(x,y * (K(w,z) * (u * K(v5,T(z,w))))). K(x,y) * (K(z,T(y,x)) * u) = (y * u) / T(T(T(y,u),x),z). (x * y) / T(T(T(x,y),z),u) = K(z,x) * (K(u,T(x,z)) * y). x != K(y,z) * (K(u,T(z,y)) * w) | z * (T(T(z,y),u) \ w) = x. x * (T(T(x,y),z) \ u) = (x * u) / T(T(T(x,u),y),z). (x * y) / T(T(T(x,y),z),u) = x * (T(T(x,z),u) \ y). (x * a(y,z,K(u,w))) \ K(v5,v6) = a(w,z,K(u,y)) * (x \ K(v5,v6)). K((x * y) \ z,K(u,(x \ z) \ (y * w))) = K(w,K(y \ (x \ z),u)). K(x,L(y,z,x \ (u \ w))) = K(x,L(y,z,w / (u * x))). K(x,L(y,z,u / (w * x))) = K(x,L(y,z,x \ (w \ u))). K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). x * K(y,L(z,u,y \ (u \ x))) = (x / (u * y)) * (u * T(y,z)). x * K(y,L(z,u,u \ x)) = (x / (u * y)) * (u * T(y,z)). (x / (y * z)) * (y * T(z,u)) = x * K(z,L(u,y,y \ x)). (x / (y * z)) * (y * T(z,u)) != w | (x / y) * (y * K(z,u)) = w. T(K(x,T(y,z)),z) != u | K(x,y) = u. K(x,L(T(y,z),u,w)) = K(y,K(z,x)) * K(x,L(y,u,w)). K(x,K(y,z)) * K(z,L(x,u,w)) = K(z,L(T(x,y),u,w)). K(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(T(z,x),u,w)). K(x,K(y,z)) * K(z,L(y,u,w)) = K(z,L(T(y,x),u,w)). K(x,L(T(y,z),u,w)) * K(L(y,u,w),x) = K(z,K(x,y)). K(x * y,K(x,z)) * K(x,L(z,u,w)) = K(x,L(T(z,y),u,w)). K(x,L(T(y,z),u,w)) * K(y,L(x,u,w)) = K(z,K(x,y)). x != K(y / z,K(u,w)) | K(u,K(z \ y,w)) = x. K(x,K(y \ z,u)) = K(x,L(T(u,z / y),w,v5)) * K(u,L(x,w,v5)). K(x,L(T(y,z / u),w,v5)) * K(y,L(x,w,v5)) = K(x,K(u \ z,y)). K(x,K(x * y,z)) * K(x,L(z,u,w)) = K(x,L(T(z,y),u,w)). x * K(y,L(z,u,w)) != K(y,L(T(z,v5),u,w)) | K(v5,K(z,y)) = x. K(x,K(y,z)) = K(z,K(z * x,y)). K(x,K(x * y,z)) = K(y,K(z,x)). K(x,T(y * (z * K(u,w)),v5)) = K(x,T((K(u,w) * y) * z,v5)). K(x,T((K(y,z) * u) * w,v5)) = K(x,T(u * (w * K(y,z)),v5)). K(x,T((K(y,z) / u) * w,v5)) = K(x,T((1 / u) * (w * K(y,z)),v5)). K(x,T((1 / y) * (z * K(u,w)),v5)) = K(x,T((K(u,w) / y) * z,v5)). K(x \ (y * T(z,u)),w) = K(K(z,u) * (x \ (y * z)),w). K(K(x,y) * (z \ (u * x)),w) = K(z \ (u * T(x,y)),w). K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. K(x \ (y * z),T(z,u)) = K(x \ (y * T(z,w)),T(z,u)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (y * z),T(z,w)). K(T(x,y) * (z \ u),T(x,y)) = K(z \ (u * x),T(x,y)). K(T(x,y) * z,T(x,u)) != w | K(x * z,T(x,u)) = w. K(x * (y \ z),T(x,u)) = K(y \ (z * x),T(x,u)). K(x \ (y * z),T(z,u)) = K(z * (x \ y),T(z,u)). K(x * (y * z),T(z,u)) = K(z * ((x \ 1) \ y),T(z,u)). K(x * ((y \ 1) \ z),T(x,u)) = K(y * (z * x),T(x,u)). K(x * ((y \ 1) \ z),T(x,y)) != u | K(z * ((y \ 1) \ x),x) = u. K(x * ((y \ 1) \ z),z) = K(y * (x * z),T(z,y)). K((x * y) * z,y) = K(x * ((z \ 1) \ y),y). K(x * ((y \ 1) \ z),z) = K((x * z) * y,z). K(x * ((y \ 1) \ z),z) != u | K(x * (z * y),z) = u. K(x * (y * z),y) = K((x * y) * z,y). K((x * y) * z,y) = K(x * (y * z),y). K((x * y) * z,y) != u | K((y * x) * z,y) = u. K((x * y) * z,x) = K(y * (x * z),x). x / (K(y * (z * u),z) * x) = K(z,(z * y) * u). K(x,y * (x * z)) = K(x,(x * y) * z). K(x,(x * y) * z) = K(x,y * (x * z)). K(x,(y * x) * z) = K(x,y * (x * z)). K(x,((y \ 1) * z) * u) != w | K(x,T(u,y \ z) * ((y \ 1) * z)) = w. K(x,T(y,z \ x) * ((z \ 1) * x)) = K(x,(z \ 1) * (x * y)). x != K(y,(z \ 1) * u) | K(y,z \ u) = x. K(x,y \ (x * z)) = K(x,T(z,y \ x) * ((y \ 1) * x)). K(x,T(y,z \ x) * ((z \ 1) * x)) = K(x,z \ (x * y)). K(x,T(y,z \ x) * ((z \ 1) * x)) != u | K(x,x * (z \ y)) = u. K(x,(y * T(z,u)) * T(w,y * z)) = K(x,w * (y * T(z,u))). K(x,y * T(z,(y / T(u,w)) * u)) = K(x,z * ((y / T(u,w)) * T(u,w))). K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,T(z,v6))))) != v7 | K(x,v5 * T(T(K(y,T(z,v6)) * u,w),K(y,z))) = v7. K(x,y * T(T(K(z,T(u,w)) * v5,v6),K(z,u))) = K(x,K(K(z,u) * v5,v6) * (y * (v5 * K(z,u)))). K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) = K(x,v5 * T(T(K(y,T(z,v6)) * u,w),K(y,z))). K(x,y * (z * T(K(u,w) * v5,v6))) = K(x,y * (z * (T(v5,v6) * K(u,w)))). K((x \ (y * z)) * (u * K(z,y)),w) != v5 | K((x \ (z * y)) * u,w) = v5. K((x \ (y * z)) * u,w) = K((x \ T(z * y,z)) * u,w). K((x \ T(y * z,y)) * u,w) = K((x \ (z * y)) * u,w). a(x,y,K(z,u \ y)) = a(T(T(x,w),v5 * x),u,K(z,u \ y)). a(T(T(x,y),z * x),u,K(w,u \ v5)) = a(x,v5,K(w,u \ v5)). a(x,y,K(y \ z,T(u,w))) = a(u,z,K(x,y \ z)). a(x,y,K(y \ z,u)) = a(u,z,K(x,y \ z)). a(x \ y,x,K(z,u)) = a(z,y,K(u,x \ y)). T((x / y) \ (x / L(y,z,u)),w) = (x / y) \ (x / L(y,z,T(u,w))). K((x * y) \ 1,K(z,x * (y * u))) = K(u,K(y \ (x \ 1),z)). K(x * y,K(z,x * (y * u))) = K(u,K(y \ (x \ 1),z)). x != K(y,K(z \ (u \ 1),w)) | K(y,K(u * z,w)) = x. K(x,K(y * z,u)) = K(y * z,K(u,y * (z * x))). K(x * y,K(z,x * (y * u))) = K(u,K(x * y,z)). x != K(y,K((z * u) \ w,v5)) | K(y,K(u \ (z \ w),v5)) = x. K(x,K(y \ (z \ u),w)) = K(x,L(T(w,u / (z * y)),v5,v6)) * K(w,L(x,v5,v6)). K(x,L(T(y,z / (u * w)),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w \ (u \ z),y)). K(x,T((1 / y) * z,u)) != w | K(x,T(y \ z,u)) = w. K(x,T(y \ (z * K(u,w)),v5)) = K(x,T((K(u,w) / y) * z,v5)). (K(x,K(y,z)) * ((u * w) * v5)) / (w * v5) = R(u * K(x,K(z,y)),w,v5). K(x,(y \ K(z,z * u)) * w) != v5 | K(x,(y \ K(z,u)) * w) = v5. K(x,(L(y,z,K(u,w)) \ K(u,w)) * (y * z)) = K(x,K(w,u) * z). K(x,L(y \ K(z,u),w,K(z,u)) * (y * w)) = K(x,K(u,z) * w). K(x,L(y,z,K(u,w)) * v5) != v6 | K(x,y * v5) = v6. K(x,(y \ K(z,u)) * (y * w)) = K(x,K(u,z) * w). x != K(y,K(z,u) * (K(z,u) * w)) | K(y,w) = x. K(x,y) = K(x,(z \ K(u,w)) * (z * (K(w,u) * y))). K(x,(y \ K(z,u)) * (y * (K(u,z) * w))) = K(x,w). K(x,(y \ K(z,u)) * (y * (K(u,z) * w))) != v5 | K(x,L(w,K(u,z),y)) = v5. K(x,L(y,K(z,u),w)) = K(x,y). K(L(x,K(y,z),u),w) = K(x,w). K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(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) * x) * w) = (T(x,y) * K(z,T(u,x))) * w. (T(x,y) * K(z,T(u,x))) * w = K(x,y) * ((K(z,u) * x) * w). K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). x != K(y,K(z,u) * (w \ v5)) | K(y,w \ (K(z,u) * v5)) = x. K(x,y \ (K(z,u) * w)) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,y \ (K(u,z) * w)). K(x,(y * K(z,u)) \ w) != v5 | K(y,K(x,w)) * K(x,w / (y * K(z,u))) = v5. K(x,K(y,z)) * K(y,z / (x * K(u,w))) = K(y,K(w,u) * (x \ z)). L(x,K(y,z),K(u,w)) = x. K(x,y) * (z * (K(u,w) * K(y,x))) = T(z * K(u,w),K(y,x)). (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). (K(x,y) * (z * K(u,w))) * K(v5,v6) = (K(x,y) * z) * (K(u,w) * K(v5,v6)). L(T(x,y),z,K(u,y)) != w | T(x,L(y,z,u)) = w. T(x,L(y,K(z,u),w)) = T(x,y). L(x,K(y,z),K(u,w)) != v5 | x = v5. T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). K(x,y) * (K(z,u) * (K(z,u) * x)) = (K(z,u) * K(z,u)) * T(x,y). x != K(y,K(z,u) * w) | K(y,w * K(z,u)) = x. K(x,(y \ z) * K(u,w)) = K(x,(K(w,u) * y) \ z). K(x,(K(y,z) * u) \ w) = K(x,(u \ w) * K(z,y)). K(x,y \ (K(z,u) * w)) != v5 | K(x,(y \ w) * K(z,u)) = v5. K(x,((K(y,z) * u) \ w) * K(v5,v6)) = K(x,K(z,y) * (u \ (K(v5,v6) * 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,(K(y,z) * u) \ w) != v5 | K(x,(u \ w) * K(z,y)) = v5. K(x,((K(y,z) * u) \ w) * K(u,K(z,y) * (u \ w))) = K(x,w / (K(y,z) * u)). 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)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). T(x,(y * K(z,u)) \ w) != v5 | T(x,(K(u,z) \ y) \ w) = v5. T(x,(K(y,z) \ u) \ w) = T(x,K(y,z) * (u \ w)). T(x,(y * (z * K(u,w))) \ v5) = T(x,K(L(w,z,y),u) * ((y * z) \ v5)). T(x,K(L(y,z,u),w) * ((u * z) \ v5)) = T(x,(u * (z * K(w,y))) \ v5). K(x,(y * z) \ u) = K(x,(((K(w,v5) * y) * z) \ u) * K(w,L(v5,y,z))). K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) = K(x,(u * w) \ v5). K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. T(x,(K(y,z) \ u) \ w) != v5 | T(x,u \ (K(y,z) * w)) = v5. T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). T(T(x,K(y,z)),z \ (K(u,w) * y)) != v5 | T(x,(K(u,w) * y) / z) = v5. T(x,(K(y,z) * u) / w) = T(T(x,K(u,w)),K(y,z) * (w \ u)). T(T(x,K(y,z)),K(u,w) * (z \ y)) = T(x,(K(u,w) * y) / z). T(x,y \ (K(z,u) * w)) != v5 | T(x,y \ (w * K(z,u))) = v5. T(x,y \ (z * K(u,w))) = T(x,K(u,w) * (y \ z)). x / (K(y,(T(z,u) \ w) \ v5) * x) = K(K(z,u) * ((z \ w) \ v5),y). K(K(x,y) * ((x \ z) \ u),w) = v5 / (K(w,(T(x,y) \ z) \ u) * v5). K(x,(y * z) \ (z * u)) = K(x,(y * T(z,w)) \ (T(z,w) * u)). K(x,(y * T(z,u)) \ (T(z,u) * w)) = K(x,(y * z) \ (z * w)). K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. (K(x,y) * T(z,u)) * w = K(z,u) * ((K(x,y) * z) * w). K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. (K(x,y) * T(z,u)) \ ((K(x,y) * T(z,u)) * w) = L(w,K(x,y) * z,K(z,u)). x != T(y,(K(z,u) * w) / v5) | T(y,w * (v5 \ K(z,u))) = x. T(x,y * (z \ K(u,w))) = T(T(x,K(y,z)),K(u,w) * (z \ y)). T(T(x,K(y,z)),K(u,w) * (z \ y)) = T(x,y * (z \ K(u,w))). K(x * y,K(z,u * x)) * K(z,(u * x) \ (x * y)) = K(z,(T(x,w) * y) / (u * T(x,w))). K(x,(T(y,z) * u) / (w * T(y,z))) = K(y * u,K(x,w * y)) * K(x,(w * y) \ (y * u)). T(T(x,K(y,z)),(z \ y) * K(u,w)) = T(x,y * (z \ K(u,w))). T(T(x,K(y,z)),(z \ y) * K(u,w)) != v5 | T(x,K(u,T(w,y)) * (y / z)) = v5. T(x,K(y,T(z,u)) * (u / w)) = T(x,u * (w \ K(y,z))). T(x,K(y,T(z,u)) * w) != v5 | T(x,w * K(y,z)) = v5. T(x,(y / z) * K(u,w)) = T(x,y * (z \ K(u,w))). K((x / y) * K(z,u),w) = w / T(w,x * (y \ K(z,u))). x / T(x,y * (z \ K(u,w))) = K((y / z) * K(u,w),x). K(x,(y / z) * K(u,w)) = x \ T(x,y * (z \ K(u,w))). x \ T(x,y * (z \ K(u,w))) = K(x,(y / z) * K(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(K(x,y) * (z / u),w) = K(z * (u \ K(x,y)),w). K(K(x,y) * z,u) = K((z * w) * (w \ K(x,y)),u). K((x * y) * (y \ K(z,u)),w) = K(K(z,u) * x,w). K(x * (y \ K(z,u)),w) != v5 | K(x / (K(u,z) * y),w) = v5. K((x * y) / (K(z,u) * y),w) = K(K(u,z) * x,w). x != K(y,z) | T(K(y,T(z,u)),u) = x. T(K(K(x,y) * z,T(u,w)),w) = K((z * v5) / (K(y,x) * v5),u). K(x,y * (z \ K(u,w))) = K(x,(y / z) * K(u,w)). K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). K(x,y / z) = K(x,y * (z \ K(u,K(w,v5)))). K(x,y * (z \ K(u,K(w,v5)))) = K(x,y / z). K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). K(x,y * (z \ K(u,K(w,v5)))) != v6 | K(x,y / z) = v6. K(x,(y * (K(z,u) * w)) * v5) != v6 | K(x,(y * (w * K(z,u))) * v5) = v6. K(x,(y * (z * K(u,w))) * (v5 \ K(v6,K(v7,v8)))) = K(x,(y * (K(u,w) * z)) / v5). K(x,y * ((z * T(u,w)) \ K(u,w))) != v5 | K(x,y / (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 / (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)))). T(x,y / (z * T(u,K(w,v5)))) = x * K(x,y / (z * u)). T(x,y / (z * u)) = T(x,y / (z * T(u,K(w,v5)))). T(x,y / (z * T(u,K(w,v5)))) = T(x,y / (z * u)). T(x,y / (z * (K(u,w) * (v5 \ 1)))) = T(x,y / (z * (v5 \ K(u,w)))). T(K(x,K(y,z)) * K(K(u,w) * z,y),x) = K((z * v5) / (K(w,u) * v5),y). K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) = K(x,y / (z * K(w,u))). K(x,y) * (z * (T(T(z,u),u) \ x)) = (K(u,z) * K(u,z)) * T(x,y). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). K((T(x,y) \ z) \ u,w) = K(K(x,y) * ((x \ z) \ u),w). K(K(x,y) * ((x \ z) \ u),w) = K((T(x,y) \ z) \ u,w). K(K(x,y) * ((x \ (T(x,y) * z)) \ u),w) = K(z \ u,w). K(K(x,y) * ((K(x,y) * z) \ u),w) = K(z \ u,w). K(K(x,y) * ((T(y,x) \ z) \ u),w) = K((y \ z) \ u,w). K(x,K(y,z) * (u \ w)) * K(w,K(x,u)) = K(x,w / (u * K(z,y))). x != (K(y,z) * K(u,w)) * v5 | K(y,z) * (K(u,w) * v5) = x. K(x,y) * (K(x,y) * T(z,u)) = K(z,u) * (y * (T(T(y,x),x) \ z)). K(x,y) * (z * (T(T(z,u),u) \ x)) = K(u,z) * (K(u,z) * T(x,y)). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(y,z) * a(u,w,K(v5,v6))). x != K(y,z / (u * K(w,v5))) | K(y,z / (K(w,v5) * u)) = x. K(x,y / (K(z,u) * w)) = K(x,K(u,z) * (w \ y)) * K(y,K(x,w)). K(x,K(y,z) * (u \ w)) * K(w,K(x,u)) = K(x,w / (K(z,y) * u)). x != K(y,z) * (K(y,z) * u) | z * (T(T(z,y),y) \ u) = x. x * (T(T(x,y),y) \ T(z,u)) = K(z,u) * (x * (T(T(x,y),y) \ z)). K(x,y) * (z * (T(T(z,u),u) \ x)) = z * (T(T(z,u),u) \ T(x,y)). K(x,K(y,z)) * K(x,z / (K(u,w) * y)) = K(x,K(w,u) * (y \ z)). K(x,K(y,z)) * K(x,z * (y \ K(u,w))) = K(x,K(u,w) * (y \ z)). K(x,K(y,z)) * K(z,K(u,w) * (y \ x)) = K(z,x * (y \ K(u,w))). K(x,(y \ z) * K(u,w)) = K(x,K(y,z)) * K(x,z * (y \ K(u,w))). K(x,K(y,z)) * K(x,z * (y \ K(u,w))) = K(x,(y \ z) * K(u,w)). K(x,(y \ z) * K(u,w)) \ K(x,K(y,z)) = K(z * (y \ K(u,w)),x). K((x \ y) * K(z,u),w) * K(w,K(x,y)) = K(y * (x \ K(z,u)),w). x != K(y * (z \ K(u,w)),v5) | K(y / (K(w,u) * z),v5) = x. K(x / (K(y,z) * u),w) = K((u \ x) * K(z,y),w) * K(w,K(u,x)). K((x \ y) * K(z,u),w) * K(w,K(x,y)) = K(y / (K(u,z) * x),w). K(x,K(y,z)) * K((x \ y) * K(u,w),z) = K(y / (K(w,u) * x),z). K(x,K(y,z)) * K(K(u,w) * (x \ y),z) = K(y / (K(w,u) * x),z). K(x,K(y * x,z)) * K(K(u,w) * T(y,x),z) = K((y * x) / (K(w,u) * x),z). K(x,T(y,z * ((u \ 1) \ w))) != v5 | K(x,T(y,u * (z \ w))) = v5. K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * R(u,z,z \ 1))). K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,w * ((u * w) \ z))). x != L(y,z,L(u / y,w,v5)) | L(y,z,L(y \ u,w,v5)) = x. L(x,y,L(x \ T(z,y),x,y)) = L(x,y,(x * y) \ ((x * (z / x)) * y)). L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,L(x \ T(z,y),x,y)). K(L(x,y \ z,y) * z,u) = K(T(y * ((y \ z) * x),x),u). K(T(x * ((x \ y) * z),z),u) = K(L(z,x \ y,x) * y,u). K(x * ((x \ y) * z),T(u,z)) = K(L(z,x \ y,x) * y,u). K(L(x,y \ z,y) * z,u) = K(y * ((y \ z) * x),T(u,x)). K((x * (y / z)) * z,u) = K(z * ((z \ y) * x),T(u,x)). K(x * ((x \ y) * z),T(u,z)) = K((z * (y / x)) * x,u). K(L(x,T(y,z),z) * (y * z),u) = K(z * ((z \ (y * z)) * x),T(u,x)). K(x * ((x \ (y * x)) * z),T(u,z)) = K((z * y) * x,u). K(x * (T(y,x) * z),T(u,z)) = K((z * y) * x,u). L(x,y,(x * y) \ ((x * (z / x)) * y)) = L(x,y,(y * x) \ (z * y)). K(L(x,T(y,z),z) * (y * z),u) = K(z * (T(y,z) * x),T(u,x)). K(L(x,y,z) * (y * z),u) = K(z * (T(y,z) * x),T(u,x)). x != K(y * (T(z,y) * u),T(w,u)) | K((u * z) * y,w) = x. K((x * y) * z,u) = K(L(x,y,z) * (y * z),u). K(L(x,y,z) * (y * z),u) = K((x * y) * z,u). K(x,y) * ((x * z) * K(u,T(w,x * z))) = K(u,w) * (T(x,y) * z). K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). (K(x,y) * T(z,u)) \ (K(x,y) * (T(z,u) * w)) = L(L(w,z,K(x,y)),K(x,y) * z,K(z,u)). L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) = (K(z,u) * T(y,w)) \ (K(z,u) * (T(y,w) * x)). x \ T(y * T(x,K(z,u)),K(L(z,w,v5),u)) = T(y,R(K(u,z),w,v5) * x). K(T(x,y) \ z,K(u,w)) != v5 | K(x \ z,K(u,w)) = v5. K((x * y) \ z,K(u,w)) = K(y \ (T(x,K(y,v5)) \ z),K(w,u)). K(x \ (T(y,K(x,z)) \ u),K(w,v5)) = K((y * x) \ u,K(v5,w)). x != K((y * z) \ u,K(w,v5)) | K(z \ (y \ u),K(v5,w)) = x. K(x \ (y \ z),K(u,w)) = K(x \ (T(y,K(x,v5)) \ z),K(u,w)). K(x \ (T(y,K(x,z)) \ u),K(w,v5)) = K(x \ (y \ u),K(w,v5)). K(x,(K(y,T(z,u)) * T(y,u)) * w) = K(x,T(T(y,T(u,v5)),z) * w). K(x,T(T(y,T(z,u)),w) * v5) = K(x,(K(y,T(w,z)) * T(y,z)) * v5). K(x,T(T(y,T(z,u)),w) * v5) = K(x,T(T(y,z),w) * v5). K(x,T(y,z) * T(u,w)) = K(x,T(T(u,y),w) * T(y,z)). K(x,T(T(y,z),u) * T(z,w)) = K(x,T(z,w) * T(y,u)). K(x,T(T(y,z),u) * T(z,u)) != w | K(x,T(y * z,u * y)) = w. K(x,T(y * z,u * y)) = K(x,T(z,u) * T(y,u)). x != K(y,T(z \ u,z) * w) | K(y,(u / z) * w) = x. K(x,(y / z) * T(u,z)) = K(x,T(u * (z \ y),z * u)). K(x,T(y * (z \ u),z * y)) = K(x,(u / z) * T(y,z)). K(x,T((y \ 1) * z,L(u,y,y \ 1))) = K(x,T(z,u * y) * T(y \ 1,u * y)). K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T((u \ 1) * y,L(z,u,u \ 1))). K(x,T((K(y,z) / u) * (K(z,y) \ w),K(z,y) * (K(y,z) / u))) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). T(x,T(T(y,z) / u,w)) = T(x,T(y * (u \ K(y,z)),w)). T(x,T(y * (z \ K(y,u)),w)) = T(x,T(T(y,u) / z,w)). K(x,y * T(z,y * K(u,w))) = K(x,z * ((y / T(w,u)) * T(w,u))). K(x,y * T(z,y * K(u,w))) = K(x,z * y). K(x,(y * z) * T(u,y * (z * K(w,v5)))) = K(x,u * (y * z)). K(x,(y * (z \ K(u,w))) * T(v5,y / z)) = K(x,v5 * (y * (z \ K(u,w)))). (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. K(x,y) * ((z * K(u,w)) * K(v5,v6)) = (K(x,y) * z) * (K(u,w) * K(v5,v6)). (K(x,y) * z) * (K(u,w) * K(v5,v6)) = K(x,y) * ((z * K(u,w)) * K(v5,v6)). T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. K(x,K(y,z)) * K(K(u,w) * z,T(y,x)) = K((z * v5) / (K(w,u) * v5),y). K((x * y) / (K(z,u) * y),w) = K(v5,K(w,x)) * K(K(u,z) * x,T(w,v5)). x \ T(y * T(x,K(z,u)),K(u,L(z,w,v5))) = T(y,R(K(u,z),w,v5) * x). K(x,y * T(z,u / w)) != v5 | K(x,y * T(z,w \ u)) = v5. K(x,(y * (z \ K(u,w))) * T(v5,z \ y)) = K(x,v5 * (y * (z \ K(u,w)))). (K(x,y) * z) * (K(u,w) * K(v5,v6)) = K(x,y) * (z * (K(u,w) * K(v5,v6))). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,R(K(u,z),w,v5) * x). T(x,R(K(y,z),u,w) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). x != y \ T(z * T(y,K(u,w)),K(w,u)) | T(z,K(w,u) * y) = x. T(x,K(y,z) * u) = T(x,R(K(y,z),w,v5) * u). T(x,R(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). T(x,K(L(y,z,u),w) * ((u * z) \ v5)) != v6 | T(x,(u * (z * K(w,y))) \ v5) = v6. T(x,(y * (z * K(u,w))) \ v5) = T(x,K(w,u) * ((y * z) \ v5)). K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,L(z,v5,v6)))). K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,K(u,w) * (y * z)). K(x,K(y,z) * u) = K(x,u * K(y,L(z,w,v5))). K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). K(x,y * K(z,L(u,w,v5))) != v6 | K(x,K(z,u) * y) = v6. x != K(y,K(z,u) * w) | K(y,w * K(u,z)) = x. K(x,y * K(z,u)) = K(x,y * K(u,L(z,w,v5))). K(x,y * K(z,L(u,w,v5))) = K(x,y * K(u,z)). K(x,(y \ (z * u)) * K(w,L(v5,u,z))) != v6 | K(x,y \ (z * (u * K(w,v5)))) = v6. K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). K(x,(((K(y,z) * u) * w) \ v5) * K(y,L(z,u,w))) != v6 | K(x,(u * w) \ v5) = v6. K(x,(y * z) \ u) = K(x,(((K(w,v5) * y) * z) \ u) * K(v5,w)). K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) = K(x,(u * w) \ v5). K(x,y \ (z * (u * K(w,v5)))) = K(x,(y \ (z * u)) * K(v5,w)). K(x,y * K(L(z,u,w),v5)) != v6 | K(x,K(z,v5) * y) = v6. K(x,y * (z * K(u,w))) = K(x,y * (z * K(u,L(w,v5,v6)))). K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (z * K(u,w))). K(x,y * (z * (u * T(w,v5)))) = K(x,K(w,v5) * (y * (z * (u * w)))). K(x,K(y,z) * (u * (w * (v5 * y)))) = K(x,u * (w * (v5 * T(y,z)))). K(x,(y * z) * (u * K(w,L(v5,y,z)))) != v6 | K(x,((K(w,v5) * y) * z) * u) = v6. K(x,((K(y,z) * u) * w) * v5) = K(x,(u * w) * (v5 * K(y,z))). K(x,y * ((z * u) * K(w,L(v5,z,u)))) != v6 | K(x,y * ((K(w,v5) * z) * u)) = v6. K(x,y * ((K(z,u) * w) * v5)) = K(x,y * ((w * v5) * K(z,u))). K(x,y \ (z * (u * K(w,v5)))) != v6 | K(x,y \ (z * (K(w,v5) * u))) = v6. K(x,y \ (z * (K(u,w) * v5))) = K(x,K(u,w) * (y \ (z * v5))). K(x,y \ (z * (T(u,z) * K(w,v5)))) != v6 | K(x,y \ ((K(w,v5) * u) * z)) = v6. K(x,y \ ((K(z,u) * w) * v5)) = K(x,(y \ (v5 * T(w,v5))) * K(u,z)). K(x,(y \ (z * T(u,z))) * K(w,v5)) = K(x,y \ ((K(v5,w) * u) * z)). K(x,((K(y,z) * u) * w) * v5) != v6 | K(x,((u * K(y,z)) * w) * v5) = v6. K(x,((y * K(z,u)) * w) * v5) = K(x,(y * w) * (v5 * K(z,u))). 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,a(y,z,K(u,w) * v5)) = K(x,K(u,w) * ((y * (z * (K(u,w) * v5))) \ ((y * z) * v5))). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) = K(x,a(u,w,K(y,z) * v5)). K(x,y \ (z * (u * w))) = K(x,K(v5,L(T(v6,u),u,w)) * (y \ (z * ((u * K(v6,v5)) * w)))). K(x,K(y,L(T(z,u),u,w)) * (v5 \ (v6 * ((u * K(z,y)) * w)))) = K(x,v5 \ (v6 * (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 * K(v5,v6))) = K(x,(y * w) * (K(v5,v6) * K(z,u))). K(x,y * (T(T(y,z),T(z,u)) \ (w * (v5 * z)))) = K(x,T(K(z,y),u) * (w * (v5 * T(z,y)))). 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,L(y,z,K(u,w) * v5)) = K(x,(((K(u,w) * v5) * z) \ (v5 * (z * y))) * K(w,u)). K(x,(((K(y,z) * u) * w) \ (u * (w * v5))) * K(z,y)) = K(x,L(v5,w,K(y,z) * u)). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (K(w,v5) * u))). K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * ((K(w,v5) * z) * u)) = v6. K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). K(x,y * ((z * K(u,w)) * K(v5,v6))) = K(x,(y * z) * (K(u,w) * K(v5,v6))). K(x,(y * z) * (K(u,w) * K(v5,v6))) = K(x,y * ((z * K(u,w)) * K(v5,v6))). K(x,(y * z) * (K(u,w) * K(v5,v6))) = K(x,y * (z * (K(u,w) * K(v5,v6)))). L(x,K(y,z) * u,K(u,w)) != v5 | x = v5. (K(x,y) / x) * ((y * x) * K(z,L(u,y,x))) = L(y,x,x \ 1) * K(z,u). (K(x,y) / x) * (x * (T(y,x) * K(z,u))) = L(y,x,x \ 1) * K(z,u). (x / y) * (y * z) != u | L(z,y,y \ x) * T((x / y) * y,z) = u. L(T(x,y) * K(z,u),y,y \ K(y,x)) * T((K(y,x) / y) * y,T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). (x \ 1) * T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ 1. (x \ 1) * T(R(x,y,z) \ x,u) != w | x \ T(R(x,y,z) \ x,u) = w. x \ T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ 1. x \ y != R(x,z,u) \ 1 | R(x,z,u) \ x = y. R(x,y,T(z,u)) \ x = T(R(x,y,z) \ x,u). T(R(x,y,z) \ x,u) = R(x,y,T(z,u)) \ x. L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w) = L(T(R(x,y,z) \ x,u) \ 1,(x \ 1) \ 1,T(w,v5)). L(T(R(x,y,z) \ x,u) \ 1,(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). K(x,K(y,z \ u)) * K(x,y \ ((y \ z) \ u)) = K(x,((y \ z) \ u) / y). K(x,K(y,z \ u)) * K(x,y \ ((y \ y) \ ((z \ y) * u))) = K(x,((y \ y) \ ((z \ y) * u)) / y). x != K(y,T(z,(u \ w) \ v5)) | K(y,T(z,w \ (u * v5))) = x. K(x,T(y,T(z * u,w) \ (u * v5))) = K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))). K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,T(z * u,w) \ (u * v5))). K((x * y) \ z,K(u,w)) != v5 | K(y \ (x \ z),K(w,u)) = v5. K((x * K(y,z)) \ (y \ u),K(w,v5)) = K(x \ (T(T(y,z),K(x,z)) \ u),K(w,v5)). K(x,K(y,z) * (u * (w * T(y,v5)))) = K(x,u * (T(T(y,v5),z) * T(w,y))). K(x,K(y,z) * (u * (w * T(y,v5)))) != v6 | K(x,u * (w * T(T(y,v5),z))) = v6. x * T(x \ y,a(z,z \ x,u)) = K(a(z,z \ x,x \ y),u) * y. K(a(x,x \ y,y \ z),u) * z = y * T(y \ z,a(x,x \ y,u)). K(a(x,x \ y,y \ z),u) * z = y * T(y \ z,a(x,y,u)). a(x,x \ y,K(y \ z,u)) * z = y * T(y \ z,a(x,y,u)). a(x,x \ y,K(z,u \ y)) * u = y * T(y \ u,a(x,y,z)). a(x,y,K(z,u \ y)) * u = y * T(y \ u,a(x,y,z)). T(x,K(y \ K(z,u),w) * (y \ K(z,u))) = T(x,T(y \ K(z,T(u,v5)),w)). T(x,T(y \ K(z,T(u,w)),v5)) = T(x,K(y \ K(z,u),v5) * (y \ K(z,u))). T(x,T(y \ K(z,T(u,w)),v5)) = T(x,T(y \ K(z,u),v5)). T(x,T((y / z) \ K(z,T(u,y)),w)) != v5 | T(x,T((y / T(z,u)) \ 1,w)) = v5. T(x,T((y / T(z,u)) \ 1,w)) = T(x,T((y / z) \ K(z,u),w)). x != T(y,T(z \ K(u,K(w,v5)),v6)) | T(y,T(z \ 1,v6)) = x. T(x,T((y / z) \ 1,u)) = T(x,T((y / T(z,K(w,v5))) \ 1,u)). T(x,T((y / T(z,K(u,w))) \ 1,v5)) = T(x,T((y / z) \ 1,v5)). K(x,T(y * (K(z,u) * (w \ v5)),v6)) = K(x,T(y * (w \ (K(z,u) * v5)),v6)). K(x,T(y * (z \ (K(u,w) * v5)),v6)) = K(x,T(y * (K(u,w) * (z \ v5)),v6)). K(x,L(T(y,z / (u * (w \ 1))),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w * (u \ z),y)). K(x,((K(y,z) * u) \ w) * K(v5,v6)) != v7 | K(x,K(z,y) * (u \ (K(v5,v6) * w))) = v7. K(x,K(y,z) * (u \ (K(u,K(y,z) * (u \ w)) * w))) = K(x,w / (K(z,y) * u)). K(x,(y * (z * K(u,w))) / v5) = K(x,(y * (K(u,w) * z)) / v5). K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * (w * K(z,u))) / v5). K(x,K(y,z)) * K(K(u,w) * T(z,x),y) = K((z * x) / (K(w,u) * x),y). K(x,K(y,z)) * u != K((z * w) / (K(v5,v6) * w),y) | K(K(v6,v5) * z,T(y,x)) = u. K(K(x,y) * z,T(u,w)) = K(K(x,y) * T(z,w),u). K(K(x,y) * T(z,u),w) = K(K(x,y) * z,T(w,u)). K(K(x,y) * T(K(y,x) * z,u),w) = K(z,T(w,u)). K(K(x,y) * T(K(y,x) * z,u),w) != v5 | K(z * K(K(y,x) * z,u),w) = v5. K(x * K(K(y,z) * x,u),w) = K(x,T(w,u)). K(x * K(K(y,z) * x,u),K(w,v5) * (v6 \ v7)) = K(x,T(v6 \ (v7 * K(w,v5)),u)). x != K(y,T(z,T(u,w) \ v5)) | K(y,T(z,u \ v5)) = x. K(x,T(y,(z * u) \ (u * w))) = K(x,T(y,K(z * u,v5) \ (T(z,u) \ w))). K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,(z * u) \ (u * v5))). x != K(y,T(z,(u * w) \ v5)) | K(y,T(z,w \ (u \ v5))) = x. K(x,T(y,z \ (u \ (z * w)))) = K(x,T(y,K(u * z,v5) \ (T(u,z) \ w))). K(x,T(y,K(z * u,w) \ (T(z,u) \ v5))) = K(x,T(y,u \ (z \ (u * v5)))). K(x,T(y,K(z,u * w) * (T(u,w) \ v5))) = K(x,T(y,w \ (u \ (w * v5)))). K(x,T(y,z * (T(u,w) \ v5))) != v6 | K(x,T(y,z * (u \ v5))) = v6. K(x,T(y,K(z,u * w) * (u \ v5))) = K(x,T(y,w \ (u \ (w * v5)))). K(x,T(y,z \ (u \ (z * w)))) = K(x,T(y,K(v5,u * z) * (u \ w))). x != K(y,T(z,K(u,w) * v5)) | K(y,T(z,v5)) = x. K(x,T(y,z \ u)) = K(x,T(y,w \ (z \ (w * u)))). K(x,T(y,z \ (u \ (z * w)))) = K(x,T(y,u \ w)). K(x,T(y,z \ (u \ (w * v5)))) != v6 | K(x,T(y,(u * z) \ (v5 * w))) = v6. K(x,T(y,(z * u) \ (w * u))) = K(x,T(y,z \ w)). K(x,T(y,(z * (u \ w)) \ w)) = K(x,T(y,z \ u)). K(x,T(y * (z \ u),u)) = K(x,T(y * (z \ u),y \ z)). K(x,T(y * (z \ u),y \ z)) = K(x,T(y * (z \ u),u)). K(x,T(y * (z \ u),z * y)) = K(x,T(y * (z \ u),u)). K(x,T(y * T(z,u),u * y)) = K(x,T(y * (u \ (z * u)),z * u)). K(x,T(y * T(z,u),u * y)) = K(x,T(y * T(z,u),z * u)). x != K(y,T(z,u * w)) | K(y,T(z,w * u)) = x. K(x,T(y * T(z,u),u * z)) = K(x,T(y * T(z,u),u * y)). x / (K(y,T(z * T(u,w),w * z)) * x) = K(T(z * T(u,w),u * w),y). K(T(x * T(y,z),y * z),u) = w / (K(u,T(x * T(y,z),z * x)) * w). K(x,T(y * T(z,u),u * z)) != w | K(x,z * T(y,u \ 1)) = w. K(x,y * T(z,u \ 1)) = K(x,T(z * T(y,u),u * z)). K(x,T(y * T(z,u),u * y)) = K(x,z * T(y,u \ 1)). K(T(x * T(y,z),y * z),u) = w / (K(u,y * T(x,z \ 1)) * w). K(x * T(y,z \ 1),u) = K(T(y * T(x,z),x * z),u). K(T(x * T(y,z),y * z),u) = K(y * T(x,z \ 1),u). K(x * T(y,z),T(u,y * z)) = K(y * T(x,z \ 1),u). K(K(x,y) \ (z \ (x \ u)),K(w,v5)) = K(z \ (T(T(x,y),K(z,y)) \ u),K(v5,w)). K(x,y * (z \ (K(u,w) * v5))) != v6 | K(x,y * (z \ (v5 * K(u,w)))) = v6. K(x,K(y,z) * (u \ (w * K(u,K(y,z) * (u \ w))))) = K(x,w / (K(z,y) * u)). K(x * K(K(y,z) * x,u),w) != v5 | K(x,T(w,u)) = v5. K(x,T(K(y,z) * (u \ w),v5)) = K(x,T(u \ (w * K(y,z)),v5)). K(x,T(y \ (z * K(u,w)),v5)) = K(x,T(K(u,w) * (y \ z),v5)). K(x,T(y \ (z * K(u,w)),v5)) != v6 | K(x,T((K(u,w) / y) * z,v5)) = v6. K(x,T((K(y,z) / u) * w,v5)) = K(x,T(K(y,z) * (u \ w),v5)). K(K(x,y) * (z \ (y \ u)),K(w,v5)) = K(z \ (T(T(y,x),K(z,x)) \ u),K(v5,w)). K(x \ (T(T(y,z),K(x,z)) \ u),K(w,v5)) = K(K(z,y) * (x \ (y \ u)),K(v5,w)). K(x,K(y,z) * ((u \ w) * K(u,K(y,z) * (u \ w)))) = K(x,w / (K(z,y) * u)). K(x \ (T(y,K(x,z)) \ u),K(w,v5)) != v6 | K(x \ (y \ u),K(w,v5)) = v6. K(x \ (T(y,z) \ u),K(w,v5)) = K(K(z,y) * (x \ (y \ u)),K(v5,w)). K(K(x,y) * (z \ (y \ u)),K(w,v5)) = K(z \ (T(y,x) \ u),K(v5,w)). K(K(x,y) * z,K(u,w)) != v5 | K(z,K(u,w)) = v5. K(x \ (y \ z),K(u,w)) = K(x \ (T(y,v5) \ z),K(w,u)). K(x \ (T(y,z) \ u),K(w,v5)) = K(x \ (y \ u),K(v5,w)). K(x,K((T(y,z) \ u) \ w,v5)) = K(w \ (y \ u),K(x,v5)). K(x,K((y \ z) \ u,w)) != v5 | K(x,K(z \ (y * u),w)) = v5. K(x,K(y \ (T(z,u) * w),v5)) = K(w \ (z \ y),K(x,v5)). K(x,K(y \ (T(z,u) * w),v5)) != v6 | K(x,K(v5,y \ (z * w))) = v6. K(x,y * (z * K(u,y * z))) != w | K(x,T(y * z,u)) = w. K(x,T(K(y,z) * (u \ w),u)) = K(x,w / (K(z,y) * u)). x != K(y,z / (K(u,w) * v5)) | K(y,z * (v5 \ K(w,u))) = x. K(x,y * (z \ K(u,w))) = K(x,T(K(u,w) * (z \ y),z)). K(x,T(K(y,z) * (u \ w),u)) = K(x,w * (u \ K(y,z))). K(x,T(K(y,z) * u,w)) = K(x,(w * u) * (w \ K(y,z))). K(x,(y * z) * (y \ K(u,w))) = K(x,T(K(u,w) * z,y)). K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. K(x,K(y,z) * ((u * w) / u)) = K(x,T(K(y,z) * w,u)). K(x,K(y,z) * (u * (w / u))) = K(x,T(K(y,z) * w,u)). K(x \ K(x,y),K(z,u * L(y,x,x \ 1))) = K(K(x,y) / x,K(z,(y * x) * u)). x * (a(x,y,K(z,u \ y)) \ u) = T(x,z) * (y * ((K(x,z) * y) \ u)). T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (a(x,z,K(y,u \ z)) \ u). T(x,y \ (T(z,y \ a(u,w,u)) * K(v5,v6))) = T(x,z / (K(v6,T(v5,y \ z)) * y)). x != K(y,T(z,L(u,w,v5))) | K(y,T(z,u)) = x. K(x,T((y \ 1) * z,u)) = K(x,T(z,u * y) * T(y \ 1,u * y)). K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T((u \ 1) * y,z)). x != K(y,T((z \ 1) * u,w)) | K(y,T(z \ u,w)) = x. K(x,T(y \ z,u)) = K(x,T(z,u * y) * T(y \ 1,u * y)). K(x,T(y,z * u) * T(u \ 1,z * u)) = K(x,T(u \ y,z)). K(x,T(y,z * u) / T(u,z * u)) = K(x,T(u \ y,z)). K(x,y / T(z,u * z)) != w | K(x,y / T(z,u)) = w. K(x,T(y,z * u) / T(u,z)) = K(x,T(u \ y,z)). K(x,((y * z) / u) / T(z,y)) = K(x,T(z \ (u \ (y * z)),y)). K(x,T(y \ (z \ (u * y)),u)) = K(x,((u * y) / z) / T(y,u)). x != K(y,z / T(u,w)) | K(y,K(u,w) * (z / u)) = x. K(x,K(y,z) * (((z * y) / u) / y)) = K(x,T(y \ (u \ (z * y)),z)). K(x,((y * z) / u) / y) = K(x,T(y \ (u \ (z * y)),z)). K(x,T(y \ (z \ (u * y)),u)) = K(x,((y * u) / z) / y). K(x,(((K(y,z) * u) * w) \ v5) * K(z,y)) != v6 | K(x,(u * w) \ v5) = v6. K(x,(y * z) \ (y * (z * u))) = K(x,L(u,z,K(w,v5) * y)). K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). K(x,L(y,z,T(u,w) * v5)) = K(x,L(y,z,u * v5)). K(x,L(y,z,u \ w)) = K(x,L(y,z,T(u,v5) \ w)). K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). K(x,L(y * z,u,T(y,z) * w)) != v5 | K(x,L(y * z,u,z \ w)) = v5. K(x,L(y * z,u,z \ w)) = K(x,L(y * z,u,y * w)). x != K(y,L(z,u,w)) | a(y,u,K(w,z)) * K(y,z) = x. a(x,y,K(z \ u,w)) * K(x,w) = K(x,L(w,y,T(z,v5) \ u)). K(x,L(y,z,T(u,w) \ v5)) = a(x,z,K(u \ v5,y)) * K(x,y). K(x,L(y / z,u,z \ u)) != w | K(x,(y * (z \ u)) / u) = w. K(x,(y * (T(z,u) \ w)) / w) = K(x,L(y / T(z,u),w,z \ w)). K(x,L(y / T(z,u),w,z \ w)) = K(x,(y * (T(z,u) \ w)) / w). K(x,L(y,z,((u \ w) \ w) \ v5)) = K(x,L(y,z,u \ v5)). K(x,L(((y \ z) \ 1) * z,u,(y * (z / y)) \ w)) = K(x,L(((z / y) \ 1) * (y * (z / y)),u,((z / y) \ 1) * w)). K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,(z * (y / z)) \ w)). K(x,L(y,z,u \ (w \ u))) = K(x,L(y,z,w \ 1)). K(x,L((y \ 1) * z,u,y \ u)) != w | K(x,u \ ((u / ((y \ 1) \ 1)) * z)) = w. K(x,y \ ((y / ((((z \ u) \ u) \ 1) \ 1)) * w)) = K(x,L((((z \ u) \ u) \ 1) * w,y,z \ y)). K(x,L((((y \ z) \ z) \ 1) * u,w,y \ w)) = K(x,w \ ((w / ((((y \ z) \ z) \ 1) \ 1)) * u)). K(x,L(y,z,(u * w) \ w)) = K(x,L(y,z,u \ 1)). K(x,L((y * z) \ u,u,(y * z) \ z)) != w | K(x,(z * K(y \ 1,y * z)) \ (((y * z) \ z) * u)) = w. K(x,(y * K(z \ 1,z * y)) \ (((z * y) \ y) * u)) = K(x,L((z * y) \ u,u,z \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,(z * K(y \ 1,y * z)) \ (((y * z) \ z) * u)). K(x,L(y,z,T(u \ 1,w) \ v5)) = a(x,z,K(u * v5,y)) * K(x,y). K(x,L(y,z,T(u,w) \ v5)) != v6 | K(x,L(y,z,u \ v5)) = v6. K(x,L(y,z,((u \ w) \ w) \ v5)) != v6 | K(x,L(y,z,u \ v5)) = v6. K(x,L(y,z,(u / w) \ v5)) != v6 | K(x,L(y,z,(w \ u) \ v5)) = v6. K(x,L(y \ z,u,y \ u)) = K(x,(z * (T(y,z) \ u)) / u). K(x,L(y \ z,u,y \ u)) != w | K(x,u \ ((u / y) * z)) = w. K(x,y \ ((y / z) * u)) = K(x,(u * (T(z,u) \ y)) / y). K(x,(y * (T(z,y) \ u)) / u) = K(x,u \ ((u / z) * y)). x != a(y,z,K(u,w)) * K(y,w) | K(y,L(w,z,u)) = x. K(x,L(y,z,u * w)) = K(x,L(y,z,T(u \ 1,v5) \ w)). K(x,L(y,z,T(u \ 1,w) \ v5)) = K(x,L(y,z,u * v5)). K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,u * w)). K(x,L(y,z,(u \ 1) * w)) != v5 | K(x,L(y,z,u \ w)) = v5. K(x \ K(y,z),K(u,w)) != v5 | K(w,K(u,x)) = v5. K(x * L(y,z,z \ 1),K(u,z)) = K(K(z,y) / z,K(u,(y * z) * x)). K(K(x,y) / x,K(z,(y * x) * u)) = K(u * L(y,x,x \ 1),K(z,x)). K(x,K(y * L(z,x,x \ 1),u)) = K(K(x,z) / x,K(u,(z * x) * y)). K(K(x,y) / x,K(z,(y * x) * u)) = K(x,K(u * L(y,x,x \ 1),z)). K(x \ K(x,y),K(z,(y * x) * u)) = K(x,K(u * L(y,x,x \ 1),z)). K((x * y) * z,K(u,y)) = K(y,K(z * L(x,y,y \ 1),u)). K(x,K(y * L(z,x,x \ 1),u)) = K((z * x) * y,K(u,x)). K(x,K((y * x) * z,u)) = K(x,K(z * L(y,x,x \ 1),u)). K(x,K(y * L(z,x,x \ 1),u)) = K(x,K((z * x) * y,u)). x != K(y,K((z * y) * u,w)) | K(z * u,K(w,y)) = x. K(x * y,K(z,u)) = K(u,K(y * L(x,u,u \ 1),z)). K(x,K(y * L(z,x,x \ 1),u)) = K(z * y,K(u,x)). T(x,y \ (T(z,y \ 1) * K(u,w))) = T(x,z / (K(w,T(u,y \ z)) * y)). T(x,y \ (z * K(u,w))) != v5 | T(x,K(u,w) * (y \ z)) = v5. T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w / (K(z,T(y,u \ w)) * u)). T(x,y / (K(z,T(u,w \ y)) * w)) = T(x,K(u,z) * (w \ T(y,w \ 1))). T(x,y / (K(z,u) * w)) != v5 | T(x,y * (K(u,z) / w)) = v5. T(x,y * (K(T(z,u \ y),w) / u)) = T(x,K(z,w) * (u \ T(y,u \ 1))). T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (K(T(y,u \ w),z) / u)). T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (K(y,T(z,u \ w)) / u)). x != T(y,z * (K(u,w) / v5)) | T(y,z * (v5 \ K(u,w))) = x. T(x,y * (z \ K(u,T(w,z \ y)))) = T(x,K(u,w) * (z \ T(y,z \ 1))). T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (u \ K(y,T(z,u \ w)))). x != T(y,z * (u \ K(w,T(v5,v6)))) | T(y,z * (u \ K(w,v5))) = x. T(x,y * (z \ K(u,w))) = T(x,K(u,w) * (z \ T(y,z \ 1))). T(x,K(y,z) * (u \ T(w,u \ 1))) = T(x,w * (u \ K(y,z))). K(x,y / (z \ T(K(u,w) * z,v5))) = K(x,y / (z \ T(z * K(u,w),v5))). K(x,y / (z \ T(K(u,w) * z,v5))) != v6 | K(x,y * (K(v5,z) * K(w,u))) = v6. K(x,y * (K(z,u) * K(w,v5))) = K(x,y / (u \ T(u * K(v5,w),z))). K(x,y / (z \ T(z * K(u,w),v5))) = K(x,y * (K(v5,z) * K(w,u))). (x * L(y,z,u)) * K(y \ L(y,z,u),L(w,y,x)) = x * L(y,z,T(u,w)). (x * L(y,z,u)) * a(w,z,K(y,L(u,y,x))) = x * L(y,z,T(u,w)). (x * L(y,z,u)) * a(w,z,K(y,u)) = x * L(y,z,T(u,w)). x * T(x \ ((x / y) * L(y,z,u)),w) = (x / y) * L(y,z,T(u,w)). (x / T(y,z)) * L(T(y,z),u,w) = (x / y) * L(y,u,T(w,z)). (x * (y * T(z,u))) / T(z,u) = ((x * y) / z) * L(z,y,T(x,u)). (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = ((x * y) / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x). (a(x,y,K(z,u)) * w) * v5 = L(w,a(x,y,K(z,u)),v5) * (v5 * a(x,y,K(z,u))). L(x,a(y,z,K(u,w)),v5) * (v5 * a(y,z,K(u,w))) = (a(y,z,K(u,w)) * x) * v5. x \ ((a(y,z,K(u,w)) * v5) * x) = a(w,z,K(u,y)) \ T(v5,x * a(y,z,K(u,w))). a(x,y,K(z,u)) \ T(w,v5 * a(u,y,K(z,x))) = v5 \ ((a(u,y,K(z,x)) * w) * v5). T(a(x,y,K(z,u)) * w,v5) = a(u,y,K(z,x)) \ T(w,v5 * a(x,y,K(z,u))). a(x,y,K(z,u)) \ T(w,v5 * a(u,y,K(z,x))) = T(a(u,y,K(z,x)) * w,v5). a(x,y,K(z,u)) \ T(w,v5) = T(a(u,y,K(z,x)) * w,v5). T(a(x,y,K(z,u)) * w,v5) = a(u,y,K(z,x)) \ T(w,v5). a(x,y,K(z,u)) * T(w,v5) = T(a(x,y,K(z,u)) * w,v5). T(a(x,y,K(z,u)) * w,v5) = a(x,y,K(z,u)) * T(w,v5). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). x != K(y,z * (u * (w * K(v5,T(v6,v7))))) | K(y,z * (u * (w * K(v5,v6)))) = x. K(x,y * (K(z,u) * (w * K(v5,u)))) = K(x,y * ((u * w) / T(T(T(u,w),z),v5))). K(x,y * ((z * u) / T(T(T(z,u),w),v5))) = K(x,y * (K(w,z) * (u * K(v5,z)))). K(x,y * (z * (T(T(z,u),w) \ v5))) = K(x,y * (K(u,z) * (v5 * K(w,z)))). K(x,y * (K(z,u) * (w * K(v5,u)))) = K(x,y * (u * (T(T(u,z),v5) \ w))). K(x,L(T(y,z * (u * (w \ 1))),v5,v6)) * K(y,L(x,v5,v6)) = K(x,K(w * (u \ z),y)). K(x,L(T(y,z),u,w)) * K(y,L(x,u,w)) != v5 | K(z,K(x,y)) = v5. K(x * (y * (z \ 1)),K(u,w)) = K(u,K(z * (y \ x),w)). K(x,K(y,z * (u * (w \ 1)))) = K(x,K(w * (u \ z),y)). K(x,K(y,z * ((u * w) * (u \ 1)))) != v5 | K(x,K(z * L(w,u,u \ 1),y)) = v5. K(x,K(y * L(z,u,u \ 1),w)) = K(x,K(u * ((u * z) \ y),w)). K(x,K(y * L(z,x,x \ 1),u)) != w | K(z * y,K(u,x)) = w. K(x * y,K(z,u)) = K(u,K(u * ((u * x) \ y),z)). K(x,K(x * ((x * y) \ z),u)) = K(y * z,K(u,x)). K(x,K(x * y,z)) != u | K(y,K(z,x)) = u. K((x * y) \ z,K(u,x)) = K(y * z,K(u,x)). K(x,K((x * y) \ z,u)) = K(y * z,K(u,x)). K(x,K(y \ (x \ z),u)) = K(y * z,K(u,x)). K(x \ y,K(z,u)) = K(x * y,K(u,z)). K(x \ y,K(x \ (y * z),u)) != w | K(z,K(x \ y,u)) = w. K(x,K(y \ z,u)) = K(y * z,K(u,y \ (z * x))). K(x * y,K(z,x \ (y * u))) = K(u,K(x \ y,z)). K(x * y,K(z,x * (y * u))) = K(u,K(x \ y,z)). K(x * y,K(z,x * (y * u))) != w | K(u,K(x * y,z)) = w. K(x,K(y * z,u)) = K(x,K(y \ z,u)). K(x,K(y \ z,u)) = K(x,K(y * z,u)). K(x,K(y * z,u)) * K(x,(z / y) / u) = K(x,u \ (z / y)). K(x,K(y * z,u)) * K(x,(z * (y \ 1)) / u) = K(x,u \ (z * (y \ 1))). K(x,K(y,z * u)) * K(x,(u / z) / y) = K(x,y \ (u / z)). K(x,K(y,z * u)) * K(x,(u * (z \ 1)) / y) = K(x,y \ (u * (z \ 1))). (K(x,K(y,z)) * ((u * w) * v5)) / (K(y,K(x,z)) * (w * v5)) = R(u,K(x,K(z,y)) * w,v5). K((x \ T(y,z)) * R(u,K(y,T(z,x)),x \ y),w) = K((x \ T(y,z)) * u,w). K((x \ T(y,z)) * L(u,K(y,T(z,x)),x \ y),w) = K((x \ T(y,z)) * u,w). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ ((u * w) * v5))) != v6 | a(x,w,K(K(y,z) * v5,u)) = v6. K(x,K(y,T(z,u)) * (w \ (v5 * ((u * K(z,y)) * v6)))) = K(x,w \ (v5 * (u * v6))). K(x,K(y,z) * (u \ (w * ((v5 * K(z,y)) * v6)))) = K(x,u \ (w * (v5 * v6))). x != K(y,(z * K(u,w)) \ v5) | K(y,z \ (K(w,u) * v5)) = x. K(x,y \ (K(z * y,z \ 1) * (((z * y) \ y) * u))) = K(x,L((z * y) \ u,u,z \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (K(y * z,y \ 1) * (((y * z) \ z) * u))). (K(x,y) * K(z,u)) * K(T(K(z,u) * K(x,y),x),K(u,z) * x) = (K(u,z) * x) \ T(x,y). K(x,T(K(y,z) * u,w) * K(y,L(z,v5,v6))) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). T(T(x,K(y,z * u)),((K(w,v5) * z) * u) \ y) = T(x,y / ((K(w,v5) * z) * u)). K(x,(y * z) * (K(z,u * K(w,v5)) * v6)) = K(x,(y * T(z,(w \ u) * T(w,v5))) * v6). K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * z) * (K(z,w * K(u,v5)) * v6)). x != K(y,K(z,u)) * K(z,u \ y) | K(z,y / u) = x. K(x,(y * z) / (u * y)) = K(x,(T(y,w) * z) / (u * T(y,w))). K(x,(T(y,z) * u) / (w * T(y,z))) = K(x,(y * u) / (w * y)). L(x,T(y,z),K(u,w)) = L(L(x,y,K(u,w)),K(u,w) * y,K(y,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) = L(x,T(y,w),K(z,u)). L(x,y,K(z,u)) = L(x,T(y,w),K(z,u)). L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). x != L(y,z,K(z \ 1,u)) | y = x. x = L(x,T(y,z),K(y \ 1,u)). L(x,T(y,z),K(y \ 1,u)) = x. L(x,T(y \ z,u),K(z \ y,w)) = x. L(x,T((y * z) \ z,u),K(T(y,z),w)) = x. L(x,T((y * z) \ z,u),K(y,w)) = x. L(x,(y * z) \ z,K(y,u)) = x. L(x,y,K(z,u)) != w | L(x,y,K(u,z \ 1)) = w. L(x,(y * z) \ z,K(u,y \ 1)) = x. (x / (y * x)) * z = K(y * x,y \ 1) * (((y * x) \ x) * z). K(x * y,x \ 1) * (((x * y) \ y) * z) = (y / (x * y)) * z. K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ ((z / (y * z)) * u)). K(x,y * (T(z,T(u,w)) \ v5)) != v6 | K(x,y * (T(z,u) \ v5)) = v6. K(x,y * (T(T(y,z),z) \ (u * (w * z)))) = K(x,T(K(z,y),v5) * (u * (w * T(z,y)))). K(x,T(K(y,z),u) * (w * (v5 * T(y,z)))) = K(x,z * (T(T(z,y),y) \ (w * (v5 * y)))). K(x,K(y,T(z,u)) * (w * (v5 * T(y,z)))) = K(x,z * (T(T(z,y),y) \ (w * (v5 * y)))). K(x,y * (z * T(T(u,w),T(w,v5)))) = K(x,w * (T(T(w,u),u) \ (y * (z * u)))). K(x,y * (T(T(y,z),z) \ (u * (w * z)))) = K(x,u * (w * T(T(z,y),T(y,v5)))). x != K(y,z * (u * T(w,T(v5,v6)))) | K(y,z * (u * T(w,v5))) = x. K(x,y * (z * T(T(u,w),w))) = K(x,w * (T(T(w,u),u) \ (y * (z * u)))). K(x,y * (T(T(y,z),z) \ (u * (w * z)))) = K(x,u * (w * T(T(z,y),y))). K(x,y * (T(T(y,z),z) \ u)) != w | K(x,u) = w. K(x,y * (z * u)) = K(x,y * (z * T(T(u,w),w))). K(x,y * (z * T(T(u,w),w))) = K(x,y * (z * u)). K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). K(x,y * (z * T(u,w))) = K(x,y * (z * ((w * u) / w))). K(x,y * (z * ((u * w) / u))) = K(x,y * (z * T(w,u))). K(x,y * T(z * u,u)) = K(x,y * (u * z)). K(x,y * T(z,u)) = K(x,y * (u * (z / u))). K(x,y * (z * (u / z))) = K(x,y * T(u,z)). K(x,K(y,z) * (u * (w / u))) != v5 | K(x,T(K(y,z) * w,u)) = v5. K(x,T(K(y,z) * u,w)) = K(x,K(y,z) * T(u,w)). T(x,y * (z * (u / z))) = x * K(x,y * T(u,z)). T(x,y * T(z,u)) = T(x,y * (u * (z / u))). T(x,y * (z * (u / z))) = T(x,y * T(u,z)). T(x,y * (z * ((1 / u) / z))) != w | T(x,y / T(u,z \ 1)) = w. T(x,y / T(z,u \ 1)) = T(x,y * T(1 / z,u)). x != T(y,z * T(1 / u,w)) | T(y,z / T(u,w)) = x. T(x,y / T(z,u)) = T(x,y / T(z,u \ 1)). T(x,y / T(z,u \ 1)) = T(x,y / T(z,u)). T(x,y / T(z,u \ 1)) != w | T(x,y / (u * (z / u))) = w. T(x,y / (z * (u / z))) = T(x,y / T(u,z)). T(x,T(y,z) / (u * (z / u))) != w | T(x,(u * (z / u)) \ y) = w. T(x,(y * (z / y)) \ u) = T(x,T(u,z) / T(z,y)). x != T(y,T(z,u) / T(u,w)) | T(y,T(u,w) \ z) = x. 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(x,T(z * y,y) \ u). T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). K(x,y * ((((z * u) / z) / w) * K(w \ 1,(z * u) / z))) = K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))). K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(w \ 1,(z * u) / z))). (K(x,y) * K(z,u)) * K(K(z,u) * K(x,y),T(K(u,z) * x,x)) = (K(u,z) * x) \ T(x,y). K(x,K(y,z) * T(K(y,z) * u,w)) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,K(y,z) * T(K(y,z) * v5,v6)). x != K(y,K(z,u) * T(w,v5)) | K(y,T(K(z,u) * w,v5)) = x. K(x,T(K(y,z) * (K(y,z) * u),w)) = K(x,R(K(y,z),v5,v6) * T(u * K(y,z),w)). K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,T(K(y,z) * (K(y,z) * v5),v6)). K(x,R(K(y,z),u,w) * T(v5 * K(y,z),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). K(x,K(y,L(z,u,w)) * T(v5 * K(y,z),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). K(x,K(y,z) * T(u,w)) != v5 | K(x,T(K(y,z) * u,w)) = v5. K(x,T(K(y,L(z,u,w)) * (v5 * K(y,z)),v6)) = K(x,T(z * (T(T(z,y),y) \ v5),v6)). K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,T(z * (T(T(z,y),y) \ u),w)). (K(x,y) * K(z,u)) * K(K(z,u) * K(x,y),x * K(u,z)) = (K(u,z) * x) \ T(x,y). K(K(x,y),K(z,u)) * T(K(z,u) * K(x,y),x * K(u,z)) = (K(u,z) * x) \ T(x,y). 1 * T(K(x,y) * K(z,u),z * K(y,x)) = (K(y,x) * z) \ T(z,u). T(K(x,y) * K(z,u),z * K(y,x)) = (K(y,x) * z) \ T(z,u). T(K(x,y) * K(z,u),z * K(y,x)) != w | T(K(x,y) * K(z,u),z) = w. T(K(x,y) * K(z,u),z) = (K(y,x) * z) \ T(z,u). x != (K(y \ (z * u),y) * w) \ T(w,K(z * u,y)) | K(y,z / (y / u)) = x. K(x,y / (x / z)) = T(K(x,x \ (y * z)) * K(u,K(y * z,x)),u). T(K(x,x \ (y * z)) * K(u,K(y * z,x)),u) = K(x,y / (x / z)). T(K(x,T(x \ (y * z),u)),u) = K(x,y / (x / z)). K(x,x \ (y * z)) = K(x,y / (x / z)). K(x,y / (x / z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,(((x \ (y * z)) * x) / z) \ y) = ((((x \ (y * z)) * x) / z) \ y) \ 1. x \ (y * (z * K(u,K(w,v5)))) != v6 | (x \ (y * z)) * K(u,K(w,v5)) = v6. ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). K(x,L((y \ 1) * z,u,w)) != v5 | K(x,L(y \ z,u,w)) = v5. K(x,L(((y \ z) \ z) \ u,w,y \ w)) = K(x,w \ ((w / ((((y \ z) \ z) \ 1) \ 1)) * u)). K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. K(x,L(T(y \ z,z),u,y \ u)) = K(x,u \ ((u / ((((y \ z) \ z) \ 1) \ 1)) * z)). K(x,L(T(y \ z,z),u,w)) != v5 | K(x,L(z / y,u,w)) = v5. K(x,L(y / z,u,z \ u)) = K(x,u \ ((u / ((((z \ y) \ y) \ 1) \ 1)) * y)). K(x,(y * (z \ u)) / u) = K(x,u \ ((u / ((((z \ y) \ y) \ 1) \ 1)) * y)). K(x,y \ ((y / ((((z \ u) \ u) \ 1) \ 1)) * u)) = K(x,(u * (z \ y)) / y). K(x,y \ ((z / ((u \ 1) \ 1)) * w)) != v5 | K(x,y \ ((z / u) * w)) = v5. K(x,y \ ((y / ((z \ u) \ u)) * u)) = K(x,(u * (z \ y)) / y). (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). a(x,y,z) * 1 = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. a(x,y,z) = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,y,z). a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). a(x,y,K(z,K(u,w)) * K(v5 \ (v6 \ v7),v5)) = a(x,y,K(v6 \ (v5 \ v7),v5)). a(x,y,K(z \ (u \ w),z)) = a(x,y,K(u \ (z \ w),z)). a(x,y,K(z \ (u \ w),u)) = a(x,y,K(u \ (z \ w),u)). x != a(y,z,K(u \ w,u)) | a(w,z,K(u,y)) = x. a(x \ y,z,K(u,w)) = a(w,z,K(x \ (u \ y),u)). a(x,y,K(z \ (u \ w),u)) = a(z \ w,y,K(u,x)). a(x,y,K(z \ (T(T(u,u \ (z \ w)),v5) \ w),T(T(u,u \ (z \ w)),v5))) = a(x,y,K(T(T(u,T(v5,z \ w)) \ (z \ w),u),T(T(u,u \ (z \ w)),v5))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(x,y,K(w \ (T(T(z,z \ (w \ v5)),u) \ v5),T(T(z,z \ (w \ v5)),u))). a(x,y,K(K(z,u \ 1) * (u * (w \ v5)),w)) = a(x,y,K(w \ (T(u \ 1,z) \ v5),w)). a(x,y,K(y \ (z \ u),z)) != w | K(x,((z * y) \ u) \ (y \ (z \ u))) = w. K(x,((y * z) \ u) \ (z \ (y \ u))) = a(z \ u,z,K(y,x)). a(x,y,K(z \ (u * (z \ w)),z)) = a((u \ z) \ w,y,K(z,x)). x != a((y \ z) \ u,w,K(z,v5)) | a(z \ (y * u),w,K(z,v5)) = x. a(x \ (y * z),u,K(x,w)) = a(w,u,K(x \ (y * (x \ z)),x)). a(x,y,K(z \ (u * (z \ w)),z)) = a(z \ (u * w),y,K(z,x)). x != a(y \ z,u,K(y,w)) | a(z,u,K(y,w)) = x. a(x * y,z,K(u,w)) = a(w,z,K(u \ (x * (u \ y)),u)). a(x,y,K(z \ (u * (z \ w)),z)) = a(u * w,y,K(z,x)). a(x * (y \ z),u,K(y,w)) = a(x * z,u,K(y,w)). (K(x,K(y,z)) * (u \ w)) * (K(u,K(x,K(y,z)) * (u \ w)) * v5) = (w / (u * K(x,K(z,y)))) * v5. K(x,K(y,z) * (u \ (w * v5))) * K(K(y,z) * (w * v5),K(x,u)) = K(x,(w * (v5 * K(y,z))) / u). K(x,K(K(y,z) * u,w) * (v5 * (u * K(y,z)))) != v6 | K(x,v5 * T(u * K(y,z),w)) = v6. K(x,y * T(z * K(u,w),v5)) = K(x,y * T(T(K(u,T(w,v6)) * z,v5),K(u,w))). K(x,y * T(T(K(z,T(u,w)) * v5,v6),K(z,u))) = K(x,y * T(v5 * K(z,u),v6)). K(x,y * T(z * K(u,T(w,v5)),v6)) = K(x,y * T(z * K(u,w),v6)). K(x,y * T(z * K(u,T(w,z * v5)),v5)) != v6 | K(x,y * (T(z,v5) * K(u,w))) = v6. K(x,y * (T(z,u) * K(w,v5))) = 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(u,w))). K(x,y * (K(z,u) * T(w,v5))) = K(x,y * T(w * K(z,u),v5)). K(x,y * T(z * K(u,w),v5)) = K(x,y * (K(u,w) * T(z,v5))). K(x,T(y,z) * (K(u,w) * K(v5,v6))) = K(x,K(v5,v6) * T(y * K(u,w),z)). K(x,T(K(y,z) * (u * K(w,v5)),v6)) = K(x,T(u,v6) * (K(w,v5) * K(y,z))). K(x,K(y,z \ u)) * K(x,y \ (1 \ ((z \ y) * u))) = K(x,((y \ y) \ ((z \ y) * u)) / y). K(x,((y \ y) \ ((z \ y) * u)) / y) = K(x,K(y,z \ u)) * K(x,y \ (1 \ ((z \ y) * u))). K(x,((y \ y) \ ((z \ y) * u)) / y) = K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)). K(x,(1 \ ((y \ z) * u)) / z) = K(x,K(z,y \ u)) * K(x,z \ ((y \ z) * u)). K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,(1 \ ((z \ y) * u)) / y). K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,((z \ y) * u) / y). (K(x,K(y,z)) * (u \ w)) * (K(u,u \ w) * v5) = (w / (u * K(x,K(z,y)))) * v5. (K(x,K(y,z)) * u) * w != v5 | K(z,K(x,y)) * (u * w) = v5. K(x,K(y,z)) * ((u \ w) * (K(u,u \ w) * v5)) = (w / (u * K(y,K(x,z)))) * v5. K(x,K(y,z)) * ((u / w) * v5) = (u / (w * K(y,K(x,z)))) * v5. (x / (y * K(z,K(u,w)))) * v5 = K(u,K(z,w)) * ((x / y) * v5). x * K(y,K(z,u)) != K(z,K(u,y)) * w | w = x. (x / y) * K(z,K(u,w)) = x / (y * K(w,K(u,z))). x / (y * K(z,K(u,w))) = (x / y) * K(w,K(u,z)). R((x / y) * K(z,K(u,w)),y / K(z,K(w,u)),K(z,K(w,u))) = (x * K(w,K(z,u))) / y. x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(y,u)). (K(x,K(y,z)) * ((u * w) * v5)) / (K(y,K(x,z)) * (w * v5)) != v6 | R(u,K(x,K(z,y)) * w,v5) = v6. R(x,K(y,K(z,u)) * w,v5) = ((K(y,K(u,z)) * ((x * w) * v5)) / (w * v5)) * K(y,K(u,z)). ((K(x,K(y,z)) * ((u * w) * v5)) / (w * v5)) * K(x,K(y,z)) = R(u,K(x,K(z,y)) * w,v5). (x / y) * K(z,K(u,w)) = (x * K(w,K(z,u))) / y. (x * K(y,K(z,u))) / w = (x / w) * K(z,K(u,y)). (K(x,K(y,z)) * u) / w = (u / w) * K(x,K(y,z)). (K(x,K(y,z)) * ((u * w) * v5)) / (w * v5) != v6 | R(u * K(x,K(z,y)),w,v5) = v6. R(x * K(y,K(z,u)),w,v5) = (((x * w) * v5) / (w * v5)) * K(y,K(u,z)). (((x * y) * z) / (y * z)) * K(u,K(w,v5)) = R(x * K(u,K(v5,w)),y,z). R(x,y,z) * K(u,K(w,v5)) = R(x * K(u,K(v5,w)),y,z). R(x * K(y,K(z,u)),w,v5) = R(x,w,v5) * K(y,K(u,z)). R(x * K(y,K(z,u)),w,v5) * K(y,K(u,z)) = R(x,K(y,K(z,u)) * w,v5). R(x,y,z) * K(u,K(w,v5)) != v6 | R(x * K(u,K(v5,w)),y,z) = v6. R((x * K(y,K(z,u))) * K(y,K(z,u)),w,v5) = R(x,K(y,K(z,u)) * w,v5). R(x * (K(y,K(z,u)) * K(y,K(z,u))),w,v5) = R(x,K(y,K(z,u)) * w,v5). R(x * 1,y,z) = R(x,K(u,K(w,v5)) * y,z). R(x,K(y,K(z,u)) * w,v5) = R(x * 1,w,v5). R(x,K(y,K(z,u)) * w,v5) = R(x,w,v5). R(x,K(y,T(z,u)),w) = R(x,K(y,z),w). R(x,K(y,z),u) != w | L(x,K(y,z),u) = w. L(x,K(y,T(z,u)),w) = R(x,K(y,z),w). x != R(y,K(z,u),w) | L(y,K(z,u),w) = x. L(x,K(y,z),u) = L(x,K(y,T(z,w)),u). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). x != L(y,z,K(u,w) * v5) | L(y,z,v5 * K(u,w)) = x. L(x,K(y,z),u * K(w,v5)) = L(x,K(y,T(z,v6)),K(w,v5) * u). L(x,K(y,T(z,u)),K(w,v5) * v6) = L(x,K(y,z),v6 * K(w,v5)). K((x \ T(y,z)) * L(u,K(y,z),x \ y),w) = K((x \ T(y,z)) * u,w). L(K(x,T(y,z)) * u,K(y,T(x,z)),K(x,y) * z) != w | z \ ((K(x,y) * z) * u) = w. x \ ((K(y,z) * x) * u) = L(K(y,T(z,x)) * u,K(z,y),x * K(y,z)). L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) = z \ ((K(x,y) * z) * u). K((x \ y) * (K(y,z) * u),w) = K((x \ T(y,z)) * u,w). K((x \ y) * (a(z,u,z) \ w),v5) = K((x \ T(y,v6)) * (K(v6,v6 * y) * w),v5). K((x \ T(y,z)) * (K(z,z * y) * u),w) = K((x \ y) * (a(v5,v6,v5) \ u),w). x != K(y * (a(z,u,z) \ w),v5) | K(y * w,v5) = x. K((x \ y) * z,u) = K((x \ T(y,w)) * (K(w,w * y) * z),u). K((x \ T(y,z)) * (K(z,z * y) * u),w) = K((x \ y) * u,w). K(x * (K(y,y * z) * u),w) != v5 | K(K(y,z) * (x * u),w) = v5. K(K(x,y) * ((z \ T(y,x)) * u),w) = K((z \ y) * u,w). K(x,K(y,z) * (u \ (w * v5))) * K(w * v5,K(x,u)) = K(x,(w * (v5 * K(y,z))) / u). K(x,K(y,z) * (u \ w)) * K(w,K(x,u)) != v5 | K(x,w / (K(z,y) * u)) = v5. K(x,(y * z) / (K(u,w) * v5)) = K(x,(y * (z * K(w,u))) / v5). K(x,(y * (z * K(u,w))) / v5) = K(x,(y * z) / (K(w,u) * v5)). K(x,(y * z) * (u \ K(w,v5))) = K(x,(y * (z * K(w,v5))) / u). K(x,(y * (z * K(u,w))) / v5) = K(x,(y * z) * (v5 \ K(u,w))). K(x,(y * (z * K(u,w))) / v5) != v6 | K(x,(y * (K(u,w) * z)) / v5) = v6. K(x,(y * (K(z,u) * w)) / v5) = K(x,(y * w) * (v5 \ K(z,u))). K(x,(y * T(z,u)) / w) = K(x,(y * z) * (w \ K(z,u))). K(x,(y * z) * (u \ K(z,w))) = K(x,(y * T(z,w)) / u). K(x,(y * z) / (u * z)) = K(x,(y * T(z,w)) / (u * T(z,w))). K(x,(y * T(z,u)) / (w * T(z,u))) = K(x,(y * z) / (w * z)). K(x,(y * (K(z,u) * w)) / (v5 \ T(v5 * K(z,u),v6))) = K(x,(y * w) * K(v6,v5 * K(z,u))). K(x,y / (z \ T(z * K(u,w),v5))) != v6 | K(x,y * (K(v5,z) * K(w,u))) = v6. K(x,(y * (K(z,u) * w)) * (K(v5,v6) * K(u,z))) = K(x,(y * w) * K(v5,v6 * K(z,u))). K(x,(y * z) * (K(u,w) * K(v5,v6))) != v7 | K(x,y * (z * (K(u,w) * K(v5,v6)))) = v7. K(x,y * ((K(z,u) * w) * (K(v5,v6) * K(u,z)))) = K(x,(y * w) * K(v5,v6 * K(z,u))). K(x,y * (K(z,u) * (w * (K(v5,v6) * K(u,z))))) = K(x,(y * w) * K(v5,v6 * K(z,u))). K(x,y * T(z * K(u,w),K(v5,v6))) = K(x,(y * z) * K(u,w * K(v6,v5))). K(x,(y * z) * K(u,w * K(v5,v6))) = K(x,y * T(z * K(u,w),K(v6,v5))). x != K(y,z * T(u,K(w,v5))) | K(y,z * u) = x. K(x,y * (z * K(u,w))) = K(x,(y * z) * K(u,w * K(v5,v6))). K(x,(y * z) * K(u,w * K(v5,v6))) = K(x,y * (z * K(u,w))). K(x,y * (K(z,u * K(w,v5)) * v6)) = K(x,y * (v6 * K(z,u))). K(x,(y * z) * (K(z,u * K(w,v5)) * v6)) != v7 | K(x,(y * T(z,(w \ u) * T(w,v5))) * v6) = v7. K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * z) * (v6 * K(z,w))). x != K(y,(z * u) * (w * K(u,v5))) | K(y,(z * T(u,v5)) * w) = x. K(x,(y * T(z,u)) * w) = K(x,(y * T(z,(v5 \ u) * T(v5,v6))) * w). K(x,(y * T(z,(u \ w) * T(u,v5))) * v6) = K(x,(y * T(z,w)) * v6). K(x,(y * T(z,T(K(u,w) * v5,u))) * v6) = K(x,(y * T(z,v5)) * v6). K(x,(y * T(z,T(u,w))) * v5) != v6 | K(x,(y * T(z,u)) * v5) = v6. K(x,(y * T(z,K(u,w) * v5)) * v6) = K(x,(y * T(z,v5)) * v6). K(x,T((K(y,z) / u) * (K(y,z) * w),K(z,y) * (K(y,z) / u))) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). K(x,T((K(y,z) / u) * (K(y,z) * w),1 / u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. K(x,T((K(y,z) / u) * (K(y,z) * w),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). K(x,T((K(y,z) / u) * w,v5)) != v6 | K(x,T(K(y,z) * (u \ w),v5)) = v6. K(x,T(K(y,z) * (u \ (K(y,z) * w)),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). K(x,T(y * (z \ (K(u,w) * v5)),v6)) != v7 | K(x,T(y * (K(u,w) * (z \ v5)),v6)) = v7. K(x,T(K(y,z) * (K(y,z) * (u \ w)),u)) = K(x,(w / K(z,y)) * ((1 / u) * K(y,z))). K(x,T(y * (T(T(y,z),z) \ (u \ w)),u)) = K(x,(w / K(y,z)) * ((1 / u) * K(z,y))). (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)))). ((T(x,K(y,z)) * u) * w) \ ((T(x,K(y,z)) * u) * (w * v5)) = L(L(v5,w,x * u),(x * u) * w,K(y,K(z,x))). L(L(x,y,z * u),(z * u) * y,K(w,K(v5,z))) = ((T(z,K(w,v5)) * u) * y) \ ((T(z,K(w,v5)) * u) * (y * x)). L(x,y,T(z,K(u,w)) * v5) = L(L(x,y,z * v5),(z * v5) * y,K(u,K(w,z))). L(L(x,y,z * u),(z * u) * y,K(w,K(v5,z))) = L(x,y,T(z,K(w,v5)) * u). L(x,y,z * u) = L(x,y,T(z,K(w,v5)) * u). L(x,y,T(z,K(u,w)) * v5) = L(x,y,z * v5). L(x,y,z) = L(x,y,u * (T(u,K(w,v5)) \ z)). L(x,y,z * (T(z,K(u,w)) \ v5)) = L(x,y,v5). L(x,y,K(K(z,u),w) * v5) = L(x,y,v5). L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). L(T(x,y) * K(z,u),y,y \ 1) * T((K(y,x) / y) * y,T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * K(z,u),y,y \ 1) * T(K(y,x),T(x,y) * K(z,u)) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * K(z,u),y,y \ 1) * T(K(y,x),T(x * K(z,u),y)) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * K(z,u),y,y \ 1) * K(y,T(x,T(x * K(z,u),y))) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * K(z,u),y,y \ 1) * K(y,T(x,K(z,u))) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * K(z,u),y,y \ 1) * K(y,x) = L(x,y,y \ 1) * K(z,u). L((T(x,y) * K(z,u)) * K(y,x),y,y \ 1) = L(x,y,y \ 1) * K(z,u). L(T(x,y) * (K(z,u) * K(y,x)),y,y \ 1) = L(x,y,y \ 1) * K(z,u). L(T(x * K(y,z),K(x,u)),u,u \ 1) = L(x,u,u \ 1) * K(y,z). L(x * K(y,z),u,u \ 1) = L(x,u,u \ 1) * K(y,z). T(L(x * K(y,z),u,u \ 1),K(y,z)) = K(y,z) * L(x,u,u \ 1). L(T(x * K(y,z),K(y,z)),u,u \ 1) = K(y,z) * L(x,u,u \ 1). L(K(x,y) * z,u,u \ 1) = K(x,y) * L(z,u,u \ 1). L(x,y,y \ 1) / L(K(z,u) * x,y,y \ 1) = K(u,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)))). (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) \ (K(x,K(y,z)) \ w) != v5 | u \ w = v5. (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,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)))) = a(x,w,v5). a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). a(x,K(y,T(z,u)),w) = a(x,K(y,z),w). a(x,K(y,T(z,u)),u) != w | ((u * K(y,z)) * x) \ (u * (K(y,z) * x)) = w. ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(u,w,K(v5,v6)) \ (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). x != ((y * z) / u) * L(u,z,y) | (y * (z * u)) / u = x. (x * (y * (y \ L(y,z,u)))) / (y \ L(y,z,u)) = (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w). (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = (x * (y * (y \ L(y,z,u)))) / (y \ L(y,z,u)). (x * (y * T(y \ L(y,z,u),w))) / T(y \ L(y,z,u),w) = (x * L(y,z,u)) / (y \ L(y,z,u)). (x * L(y,z,T(u,w))) / T(y \ L(y,z,u),w) = (x * L(y,z,u)) / (y \ L(y,z,u)). T(x,K(y,z)) / (z * (a(u,w,K(v5,v6)) * T(a(v6,w,K(v5,u)) * (z \ x),y))) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). T(x,K(y,z)) / (z * T((a(u,w,K(v5,v6)) * (z \ x)) * a(v6,w,K(v5,u)),y)) = K(y,(x \ (z * a(v6,w,K(v5,u)))) \ 1). T(x,K(y,z)) / (z * T(z \ x,y)) = K(y,(x \ (z * a(u,w,K(v5,v6)))) \ 1). K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = T(y,K(x,z)) / (z * T(z \ y,x)). x != T(y,K(z,u)) / (u * T(u \ y,z)) | K(z,(y \ u) \ 1) = x. K(x,(y \ z) \ 1) = K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1). K(x,(y \ (z * a(u,w,K(v5,v6)))) \ 1) = K(x,(y \ z) \ 1). K(x,(y \ (a(z,u,K(w,v5)) * v6)) \ 1) = K(x,(y \ v6) \ 1). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(v6 \ v5) \ 1). x != K(y,(z \ u) \ 1) | K(y,u \ z) = x. K(x,y \ z) = K(x,(a(u,w,K(v5,v6)) * y) \ z). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). K(x,((y * (z * K(u,w))) * K(w,u)) \ v5) = K(x,(y * z) \ v5). K(x,K(y,z) * ((u * (w * K(y,z))) \ v5)) = K(x,(u * w) \ v5). K(x,K(y,z) * ((u * w) \ v5)) = K(x,(u * (w * K(z,y))) \ v5). K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y * z) \ v5)). K(x,K(y,L(z,u,w)) * ((v5 * (w * (u * K(y,z)))) \ v6)) = K(x,(v5 * (w * u)) \ v6). K(x,K(y,z) * ((u * (w \ z)) \ v5)) = K(x,(u * (w \ T(z,y))) \ v5). K(x,L(y,z * K(u,w),v5)) = K(x,K(w,u) * ((v5 * z) \ (v5 * ((z * K(u,w)) * y)))). K(x,K(y,z) * ((u * w) \ (u * ((w * K(z,y)) * v5)))) = K(x,L(v5,w * K(z,y),u)). K(x,(y * (z / u)) \ w) = K(x,K(z,u) * ((y * (u \ z)) \ w)). K(x,K(y,z) * ((u * (z \ y)) \ w)) = K(x,(u * (y / z)) \ w). K(x,K(y * z,u)) * K(u,K(w,v5) * ((y * z) \ x)) = K(u,x / (y * (z * K(v5,w)))). K(x,K(y,z) * ((u * (w \ y)) \ v5)) = K(x,(u * (w \ T(y,z))) \ v5). K(x,K(y,z) * ((u * (z \ y)) \ w)) != v5 | K(x,(u * (y / z)) \ w) = v5. K(x,(y * (z / u)) \ w) = K(x,(y * (u \ T(z,u))) \ w). K(x,(y * (z \ T(u,z))) \ w) = K(x,(y * (u / z)) \ w). K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. K(x,((y \ T(z,y)) * u) \ w) = K(x,(T(u,y \ T(z,y)) * (z / y)) \ w). K(x,(T(y,z \ T(u,z)) * (u / z)) \ w) = K(x,((z \ T(u,z)) * y) \ w). K(x,(T(y,z / u) * (z / u)) \ w) = K(x,((u \ T(z,u)) * y) \ w). K(x,((y / z) * u) \ w) = K(x,((z \ T(y,z)) * u) \ w). K(x,((y \ T(z,y)) * u) \ w) = K(x,((z / y) * u) \ w). K(x,((T(y,z) \ z) * u) \ w) = K(x,((z / y) * u) \ w). K(x,K(y,z) * ((u * (w * (v5 * K(y,z)))) \ v6)) = K(x,(u * (w * v5)) \ v6). K(x,K(y,T(z,u)) * ((w * (v5 * (K(y,z) * u))) \ v6)) = K(x,(w * (v5 * u)) \ v6). K(x,K(y,z) * (((K(u,w) * v5) * (v6 * K(y,z))) \ v7)) = K(x,(K(u,L(w,v5,v6 * K(y,z))) * (v5 * v6)) \ v7). K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,K(v5,v6) * (((K(y,z) * u) * (w * K(v5,v6))) \ v7)). K(x,K(y,z) * ((u * (w * (K(y,z) * v5))) \ v6)) = K(x,(u * (w * v5)) \ v6). a(x,y,K(K(z,u) * w,v5)) = K(x,(v5 * (y * w)) \ ((v5 * y) * w)). K(x,(y * (z * u)) \ ((y * z) * u)) = a(x,z,K(K(w,v5) * u,y)). K(x,K(y,z) * ((u * w) \ v5)) = K(x,(u * (K(z,y) * w)) \ v5). K(x,(y * (K(z,u) * w)) \ v5) = K(x,K(u,z) * ((y * w) \ v5)). x != K(y,K(z,u) * ((w * v5) \ v6)) | K(y,(w * (v5 * K(u,z))) \ v6) = x. K(x,(y * (z * K(u,w))) \ v5) = K(x,(y * (K(u,w) * z)) \ v5). K(x,(y * (K(z,u) * w)) \ v5) = K(x,(y * (w * K(z,u))) \ v5). T(x,(y * (K(z,u) * w)) \ v5) = x * K(x,(y * (w * K(z,u))) \ v5). x * K(x,(y * (z * K(u,w))) \ v5) = T(x,(y * (K(u,w) * z)) \ v5). K(x,a(y,z,u)) = a(x,z,K(K(w,v5) * u,y)). a(x,y,K(K(z,u) * w,v5)) = K(x,a(v5,y,w)). x != K(y,a(z,u,w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y,K(K(w,v5) * z,u)). a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). a(x,y,K(K(z,u) * w,v5)) != v6 | a(x,y,K(w,v5)) = v6. a(x * K(y,z),u,K(w,v5)) = a(v5,u,K(x,w)). a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). a(x,y,K((z / u) * w,v5)) = a(x,y,K((u \ z) * w,v5)). a(x,y,K(z * T(u,w),v5)) = a(x,y,K(z * u,v5)). a(x,y,K(K(z,u) * w,v5 / (T(v6,v7) \ v8))) = a(x,y,K(w,v5 / (T(v6,T(v7,v9)) \ v8))). a(x,y,K(z,u)) != w | a(x,y,K(K(v5,v6) * z,u)) = w. a(x,y,K(z \ (K(u,w) * v5),v6)) * K(x,v6) = K(x,L(v6,y,K(v7,v8) * ((K(w,u) * z) \ v5))). K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K(v7 \ (K(v6,v5) * v8),y)) * K(x,y). a(x,y,K(z \ (u / w),v5)) = a(x,y,K(z \ (w \ u),v5)). a(x,y,K(z,T(u,w) * v5)) = a(z,y,K(v5 * u,x)). a(T(x,y) * z,u,K(w,v5)) = a(v5,u,K(z * x,w)). a(x,y,K(T(z,u) * w,v5)) = a(x,y,K(w * z,v5)). a(T((x \ y) \ z,u) * K(x,w),v5,K(v6,v7)) = a(v7,v5,K((T(x,w) \ y) \ z,v6)). a(x,T(y,x),K(z * y,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). a(K(x,y) * z,u,K(w,v5)) != v6 | a(v5,u,K(z,w)) = v6. a(x,y,K(z \ (T(u \ 1,w) \ v5),z)) != v6 | a(x,y,K(u * (z \ v5),z)) = v6. a(x,y,K((z / u) * w,T(T(v5,v6),v7))) = a(x,y,K((u \ z) * w,T(T(v5,v7),v6 * v5))). a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a(x,y,K((u / z) * w,T(T(v5,v7),v6))). a(x,y,K(z,u \ (w / v5))) = a(z,y,K(u \ (v5 \ w),x)). a(x,y,K(z \ (u \ w),v5)) = a(v5,y,K(x,z \ (w / u))). a(x,y,K(z,u \ (w \ v5))) = a(x,y,K(z,u \ (v5 / w))). a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). a(x \ (y / z),u,K(w,v5)) = a(K(v6,v7) * w,u,K(v5,x \ (z \ y))). a(K(x,y) * z,u,K(w,v5 \ (v6 \ v7))) = a(v5 \ (v7 / v6),u,K(z,w)). T(x,(y * (z * K(u,w))) \ v5) = T(x,(y * (K(u,w) * z)) \ v5). T(x,(y * (K(z,u) * w)) \ v5) = T(x,(y * (w * K(z,u))) \ v5). x != T(y,(z * (u * K(w,v5))) \ v6) | T(y,K(v5,w) * ((z * u) \ v6)) = x. T(x,K(y,z) * ((u * w) \ v5)) = T(x,(u * (K(z,y) * w)) \ v5). T(x,(y * (K(z,u) * w)) \ v5) = T(x,K(u,z) * ((y * w) \ v5)). T(T(x,K(y,z * u)),(z * (K(w,v5) * u)) \ y) != v6 | T(x,y / (z * (K(w,v5) * u))) = v6. T(x,y / (z * (K(u,w) * v5))) = T(T(x,K(y,z * v5)),K(w,u) * ((z * v5) \ y)). T(T(x,K(y,z * u)),K(w,v5) * ((z * u) \ y)) = T(x,y / (z * (K(v5,w) * u))). a(x \ (y \ z),u,K(w,v5)) = a(x \ (z / y),u,K(w,v5)). a(x \ (y / z),u,K(w,v5)) = a(x \ (z \ y),u,K(w,v5)). a(x \ (y / z),u,K(x,w)) != v5 | a(y / (z * x),u,K(x,w)) = v5. a(x / (y * z),u,K(z,w)) = a(z \ (y \ x),u,K(z,w)). a(x * K(y,z),u,K(w,v5)) != v6 | a(v5,u,K(x,w)) = v6. a(x,y,K(T((z \ u) \ w,v5),v6)) = a(x,y,K((T(z,v7) \ u) \ w,v6)). a(x,y,K((z \ u) \ w,T(v5,v6))) = a(x,y,K((T(z,v7) \ u) \ w,v5)). a(x,y,K((T(z,u) \ w) \ v5,v6)) = a(x,y,K((z \ w) \ v5,T(v6,v7))). a((x \ y) \ z,u,K(w,v5)) = a(v5,u,K((T(x,v6) \ y) \ z,w)). a(x,y,K((T(z,u) \ w) \ v5,v6)) = a((z \ w) \ v5,y,K(v6,x)). a(T(x,y) * z,u,K(w,v5)) != v6 | a(v5,u,K(z * x,w)) = v6. a(x,y,K(z * u,(T(w,v5) \ v6) \ v7)) = a((w \ v6) \ v7,y,K(x,T(u,v8) * z)). a((x \ y) \ z,u,K(w,T(v5,v6) * v7)) = a(w,u,K(v7 * v5,(T(x,v8) \ y) \ z)). T(T(x,K(y,z)),K(u,w) * (z \ y)) != v5 | T(x,y * (z \ K(u,w))) = v5. T(x,y * ((z * u) \ K(w,v5))) = T(x,y / (z * (K(v5,w) * u))). T(x,y / (z * (K(u,w) * v5))) = T(x,y * ((z * v5) \ K(w,u))). T(x,y / (z * (K(u,w) * (v5 \ 1)))) != v6 | T(x,y / (z * (v5 \ K(u,w)))) = v6. T(x,y / (z * (u \ K(w,v5)))) = T(x,y * ((z * (u \ 1)) \ K(v5,w))). T(x,y * ((z * (u \ 1)) \ K(w,v5))) = T(x,y / (z * (u \ K(v5,w)))). T(x,y / ((K(z,u) * w) * y)) = T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))). T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))) = T(x,y / ((K(z,u) * w) * y)). a(x,y,K(z,T(u,w) * v5)) != v6 | a(z,y,K(v5 * u,x)) = v6. a(x,y,K(z * u,(w \ v5) \ v6)) = a(x,y,K(z * u,(T(w,v7) \ v5) \ v6)). a(x,y,K(z * u,(T(w,v5) \ v6) \ v7)) = a(x,y,K(z * u,(w \ v6) \ v7)). K(x,K(y,z) * (u \ (w * ((v5 * K(z,y)) * v6)))) != v7 | K(x,u \ (w * (v5 * v6))) = v7. K(x,(y * z) \ (y * (z * u))) = K(x,L(u,z * K(w,v5),y)). K(x,L(y,z * K(u,w),v5)) = K(x,(v5 * z) \ (v5 * (z * y))). K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). K(x,L(y,x,z)) != u | K(x,y) = u. K(x * K(y,z),u) = K(x * K(y,z),L(u,x,w)). K(x * K(y,z),L(u,x,w)) = K(x * K(y,z),u). K(x,L(y,z,u)) = K(x,L(y,T(z,w),u)). K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). K(x,L(y,z * (u * K(w,v5)),v6)) = K(x,L(y,z * u,v6)). K(x,L(y,T((z \ 1) * u,z),z \ 1)) != w | K(x,L(y,z \ u,z \ 1)) = w. K(x,L(y,z \ u,z \ 1)) = K(x,L(y,(z \ 1) * u,z \ 1)). K(x,L(y,(z \ 1) * u,z \ 1)) = K(x,L(y,z \ u,z \ 1)). K(x,L(T(y,z),z,u)) * ((T(z,w) * K(y,x)) * u) = T(z,w) * u. K(x,L(y,z,u)) * K(y,x) = a(y,K(w,v5) * z,K(x,u)). a(x,K(y,z) * u,K(w,v5)) = K(w,L(x,u,v5)) * K(x,w). K(K(x,y) * z,L(u,z,w)) = K(z * K(x,y),u). K(K(x,y) * (z \ u),L(w,z \ u,z)) != v5 | K((z * K(y,x)) \ u,w) = v5. K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). 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 \ u) * K(y,z),w). K(x \ (T(y,z) * u),K(y,w)) = K(y,K((x \ u) * K(y,z),w)). x != K(y,L(z,u,w)) * K(z,y) | a(z,u,K(y,w)) = x. a(x,y,K(z,u)) = a(x,K(w,v5) * y,K(z,u)). a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). K(x,L(y,z * u,z)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u \ 1)) = K(x,L(y,u \ z,u \ 1)). K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L(y \ (z * u),z \ y,z \ 1)) != w | K(x,(z \ y) \ u) = w. K(x,(y \ z) \ u) = K(x,L(z \ (y * u),z,y \ 1)). K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). K(x,L(y,z,u \ 1)) = K(x,L(y,u * z,u \ 1)). K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,L((y * z) \ u,z,y \ 1)). K(x,L(y \ z,z,u)) != w | K(x,L(y \ z,y,u)) = 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)). K(x,L(y \ (z * u),y,z \ 1)) != w | K(x,((z \ 1) * y) \ L(u,z,z \ 1)) = w. K(x,((y \ 1) * z) \ L(u,y,y \ 1)) = K(x,(y \ z) \ u). K(x,L(T(y,z \ 1) \ (z * u),T(y,z \ 1),z \ 1)) = K(x,(y / z) \ u). K(x,((y \ 1) * z) \ L(u,y,y \ 1)) != w | K(x,(((u * y) \ u) * z) \ u) = w. K(x,(((y * z) \ y) * u) \ y) = K(x,(z \ u) \ y). K(x,((y / (z * y)) * u) \ y) = K(x,(z \ u) \ y). K(x,((y / z) * u) \ y) = K(x,((z / y) \ u) \ y). K(x,((y / z) \ u) \ z) = K(x,((z / y) * u) \ z). K(x,(((y * z) \ y) * T(u,z \ 1)) \ y) = K(x,(u / z) \ y). x != K(y,K(z * K(u,w),v5)) | K(z,K(y,v5)) = x. K(x \ y,K(z,u)) = K(x \ (T(z,w) * y),K(z,u)). K(x \ (T(y,z) * u),K(y,w)) = K(x \ u,K(y,w)). K(x,K(y \ (T(x,z) * u),w)) = K(y \ u,K(x,w)). K(x,K(y,z \ (x * u))) = K(z \ u,K(x,y)). K(x,(y * ((z * u) \ z)) \ z) = K(x,(y / u) \ z). K(x,((T(y,z) \ z) * u) \ w) != v5 | K(x,((z / y) * u) \ w) = v5. K(x,((y / z) * ((u * w) \ u)) \ u) = K(x,((T(z,y) \ y) / w) \ u). K(x,((T(y,z) \ z) / u) \ w) = K(x,((z / y) * ((w * u) \ w)) \ w). K(T(x,y),L(z,y,u)) * (T(y,w) * u) = (T(y,w) * K(x,z)) * u. K(x,T(L(y,z,u),z)) * (T(z,w) * u) = (T(z,w) * K(x,y)) * u. K(x,L(T(y,z),z,u)) * (T(z,w) * u) = (T(z,w) * K(x,y)) * u. x != K(y,L((z * u) \ w,u,z \ 1)) | K(y,u \ (z \ w)) = x. 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) \ u,u,y \ 1)) != w | K(x,z \ ((z / (y * z)) * u)) = w. K(x,y \ ((y / (z * y)) * u)) = K(x,y \ (z \ u)). K(x,y \ ((y / T(z,y)) * u)) = K(x,y \ ((y \ z) \ u)). K(x,y \ ((z \ y) * u)) = K(x,y \ ((y \ z) \ u)). K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). K(x,y \ (z \ T(u,z \ 1))) != w | K(x,y \ (u / z)) = w. K(x,y \ (z / (y \ u))) = K(x,y \ ((u \ y) * T(z,(y \ u) \ 1))). K(x,y \ ((z \ y) * T(u,(y \ z) \ 1))) = K(x,y \ (u / (y \ z))). K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) = K(x,((y \ z) \ u) / y). x != K(y,L(z \ (u * w),z,u \ 1)) | K(y,(u \ z) \ w) = x. K(x,(y \ z) \ u) = K(x,L(z \ (y * u),u,y \ 1)). K(x,L(y \ (z * u),u,z \ 1)) = K(x,(z \ y) \ u). x != K(y,((z / u) \ w) \ u) | K(y,((u / z) * w) \ u) = x. K(x,((y / z) * u) \ y) = K(x,L(u \ ((z / y) * y),y,(z / y) \ 1)). K(x,L(y \ ((z / u) * u),u,(z / u) \ 1)) = K(x,((u / z) * y) \ u). x != K(y,(z * ((u * w) \ u)) \ u) | K(y,(z / w) \ u) = x. K(x,((y / z) / u) \ w) = K(x,((T(z,y) \ y) / u) \ w). K(x,((T(y,z) \ z) / u) \ w) = K(x,((z / y) / u) \ w). K(x,y \ ((z \ y) * T(u,z \ y))) = K(x,y \ (u / (y \ z))). K(x,y \ (z * (u \ y))) = K(x,y \ (z / (y \ u))). K(x,y \ (z / (y \ u))) = K(x,y \ (z * (u \ y))). K(x,L(y \ z,u,(z / u) \ 1)) = K(x,((u / z) * y) \ u). K(x,L(y \ z,u,(u \ z) \ 1)) = K(x,((u / z) * y) \ u). K(x,L(y \ z,u,z \ u)) = K(x,((u / z) * y) \ u). K(x,L(y \ z,u,z \ u)) != w | K(x,u / (T(y,z) * (z \ u))) = w. K(x,y / (T(z,u) * (u \ y))) = K(x,((y / u) * z) \ y). K(x,K(y,z \ u)) * K(x,y \ ((z \ y) * u)) != w | K(x,((z \ y) * u) / y) = 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)) / z) = K(x,((u \ z) * T(y,(z \ u) \ 1)) / z). K(x,((y \ z) * T(u,(z \ y) \ 1)) / z) = K(x,(u / (z \ y)) / z). K(x,((y \ z) * T(u,y \ z)) / z) = K(x,(u / (z \ y)) / z). K(x,(y * (z \ u)) / u) = K(x,(y / (u \ z)) / u). K(x,(y / (z \ u)) / z) = K(x,(y * (u \ z)) / z). K(x,(y / (z \ (z * u))) / z) = K(x,(y * L(u \ 1,u,z)) / z). K(x,(y / z) / u) = K(x,(y * L(z \ 1,z,u)) / u). K(x,(y * L(z \ 1,z,u)) / u) = K(x,(y / z) / u). K(x,(y * (z \ 1)) \ ((z \ 1) * (z * u))) = K(x,(y / z) \ u). K(x,y \ ((z \ 1) * (z * u))) != w | K(x,y \ L(u,z,z \ 1)) = w. K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,y * (z \ 1))) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). a(x,y,K(z * y,u)) * K(x,(T(y,x) * u) / ((z \ 1) * u)) = K(x,y * z). a(x,y,K(z * y,u)) * K(x,(y * u) / ((z \ 1) * u)) = K(x,y * z). a(x,(y \ z) \ 1,K(u * ((y \ z) \ 1),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). K(x,K(y,z)) * K(z,K(u,w) * (y \ x)) != v5 | K(z,x * (y \ K(u,w))) = v5. K(x,y * ((z * u) \ K(w,v5))) = K(x,y / (z * (u * K(v5,w)))). K(x,y / (z * (u * K(w,v5)))) = K(x,y * ((z * u) \ K(v5,w))). K(x,y / (z * (u * K(w,v5)))) != v6 | K(x,y / (z * (K(w,v5) * u))) = v6. K(x,y / (z * (K(u,w) * v5))) = K(x,y * ((z * v5) \ K(w,u))). K(x,y / (z * L(K(u,w),v5,v6))) = K(x,y * ((z * a(v6,v5,K(w,u))) \ K(w,u))). K(x,y * ((z * a(u,w,K(v5,v6))) \ K(v5,v6))) = K(x,y / (z * L(K(v6,v5),w,u))). K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(w,z)))) = K(x,y / (v6 * L(K(z,w),u,v5))). K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. K(x,y * (z \ K(u,w))) = K(x,y / (z * L(K(w,u),v5,v6))). K(x,y / (z * L(K(u,w),v5,v6))) = K(x,y * (z \ K(w,u))). K(x,y / (z * K(u,L(w,v5,v6)))) = K(x,y * (z \ K(w,u))). K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. K(x,y * (z \ K(L(u,w,v5),v6))) = K(x,y * (z \ K(u,v6))). K(x,y * (z \ K(L(u,z,y),w))) != v5 | K(x,(K(w,u) * (z / y)) \ 1) = v5. K(x,(K(y,z) * (u / w)) \ 1) = K(x,w * (u \ K(z,y))). K(x,(y / z) \ K(u,w)) = K(x,z * (y \ K(u,w))). T(T(x,(y / z) \ K(u,w)),K(v5,z * (y \ K(u,w)))) = T(x,T((y / z) \ K(u,w),v5)). a(x,y,K(K(z,u) * w,(T(v5,v6) \ v7) \ v8)) = a(x,y,K(w,v8 / (T(v5,T(v6,v9)) \ v7))). a((x / y) * z,u,K(T(w,v5),v6)) = a(v6,u,K((y \ x) * z,T(T(w,v7),v5 * w))). a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a((u / z) * w,y,K(T(v5,v7),x)). a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a((u / z) * w,y,K(v5,T(x,v7))). a(x,y,K(z,(u / w) * v5)) = a(z,y,K((w \ u) * v5,T(T(x,v6),v7 * x))). a(x,y,K((z \ u) * w,T(T(v5,v6),v7 * v5))) = a(v5,y,K(x,(u / z) * w)). a((x \ y) * z,u,K(T(w,v5),v6)) = a(w,u,K(v6,(y / x) * z)). a((x \ y) * z,u,K(w,T(v5,v6))) = a(w,u,K(v5,(y / x) * z)). a(x,y,K(z,(u \ w) * v5)) = a(x,y,K(z,(w / u) * v5)). a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,(w \ u) * v5)). a(x,y,K(z * u,(T(w,v5) \ v6) \ v7)) != v8 | a(x,y,K(z * u,(w \ v6) \ v7)) = v8. a(x,y,K(K(z,u) * w,(v5 \ v6) \ v7)) = a(x,y,K(w,v7 / (T(v5,T(v8,v9)) \ v6))). a(x,y,K(z,(u \ w) \ v5)) = a(x,y,K(z,v5 / (T(u,T(v6,v7)) \ w))). a(x,y,K(z,u / (T(w,T(v5,v6)) \ v7))) = a(x,y,K(z,(w \ v7) \ u)). a(x,y,K(z,u / (T(w,v5) \ v6))) = a(x,y,K(z,(w \ v6) \ u)). a(x,y,K(z,(T(u,w) \ v5) \ v6)) = a(x,y,K(z,(u \ v5) \ v6)). x != a(y,z,K(u,w \ v5)) | a(u,z,K(y,v5 \ w)) = x. a(x,y,K(z,u \ (w \ v5))) = a(z,y,K(x,(T(w,v6) \ v5) \ u)). a(x,y,K(z,(T(u,w) \ v5) \ v6)) = a(z,y,K(x,v6 \ (u \ v5))). a(x,y,K(z,(u / w) \ v5)) = a(x,y,K(z,(w \ u) \ v5)). a(x,y,K(z,u \ (T(w,v5) \ v6))) = a(x,y,K(z,u \ (w \ v6))). a(x,y,K(z \ (T(u,w) \ v5),v6)) = a(v6,y,K(x,z \ (u \ v5))). a(x,y,K(z * (u \ w),u)) = a(u,y,K(x,u \ ((z \ 1) \ w))). a(x,y,K(z,x \ ((u \ 1) \ w))) = a(z,y,K(u * (x \ w),x)). a(x,y,K(z,(u \ 1) \ w)) = a(z,y,K(u * (x \ w),x)). a(x,y,K(z * (u \ w),u)) = a(u,y,K(x,(z \ 1) \ w)). a(x,y,K(z * (u \ w),u)) = a(u,y,K(x,z * w)). K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K((v7 \ v8) * K(v6,v5),y)) * K(x,y). K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = a(x,z,K(v7 \ v8,y)) * K(x,y). K(x,L(y,z,u \ w)) = K(x,L(y,z,K(v5,v6) * ((K(v7,v8) * u) \ w))). K(x,L(y,z,K(u,w) * ((K(v5,v6) * v7) \ v8))) = K(x,L(y,z,v7 \ v8)). K(x,L(y,z,K(u,w) * v5)) != v6 | K(x,L(y,z,v5)) = v6. K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v5 \ v6)). K(x,L(y,z,(u * K(w,v5)) \ v6)) = K(x,L(y,z,u \ v6)). x * K(y,L(T(z,u),x,u \ x)) = (x / (K(y,z) \ u)) * u. K(x,L(y,z,(u * (w \ v5)) \ v6)) = K(x,L(y,z,(u * (v5 / w)) \ v6)). K(x,L(y,z,(u * (w / v5)) \ v6)) = K(x,L(y,z,(u * (v5 \ w)) \ v6)). K(x,L(T(y,z),z,z \ u)) * u = z * ((z * K(y,x)) \ u). K(x,L(T(y,z),T(z,u),T(z,u) \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). x * K(y,L(T(z,u),x,u \ x)) != w | (x / u) * (K(y,z) * u) = w. (x / y) * (K(z,u) * y) = (x / (K(z,u) \ y)) * y. (x / (K(y,z) \ u)) * u = (x / u) * (K(y,z) * u). (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). L(x,K(y,z),u) * u = (((x * K(y,z)) * u) / u) * (K(z,y) * u). (((x * K(y,z)) * u) / u) * (K(z,y) * u) = L(x,K(y,z),u) * u. (x * K(y,z)) * (K(z,y) * u) = L(x,K(y,z),u) * u. L(x,K(y,z),u) * u = (x * K(y,z)) * (K(z,y) * u). ((x * K(y,z)) * (K(z,y) * u)) / u = L(x,K(y,z),u). ((x * K(y,z)) * (K(z,y) * u)) / u != w | L(x,K(y,z),K(z,y) * u) = w. L(x,K(y,z),K(z,y) * u) = L(x,K(y,z),u). L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). L(K(x,T(y,z)) * u,K(y,x),z * K(x,y)) != w | z \ ((K(x,y) * z) * u) = w. x \ ((K(y,z) * x) * u) = L(K(y,T(z,x)) * u,K(z,y),x). L(K(x,T(y,z)) * u,K(y,x),z) = z \ ((K(x,y) * z) * u). L(K(x,T(y,z)) * u,K(y,x),z) != w | (K(y,x) * z) \ (z * u) = w. (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). (K(x,y) * z) \ (T(z,u) * w) = z \ ((K(y,x) * z) * (K(z,u) * w)). x \ ((K(y,z) * x) * (K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). (x \ ((K(y,z) * x) * u)) * K(z,K(y,x)) = (x * K(z,y)) \ (x * u). K(x,L(((y \ z) \ 1) * z,u,(y * (z / y)) \ w)) != v5 | K(x,L(((z / y) \ 1) * (y * (z / y)),u,((z / y) \ 1) * w)) = v5. K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,(z * (z \ y)) \ w)). x \ ((K(y,z) * (x * (K(x,u) * w))) * a(K(y,z),x,K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). T(x,K(y,z)) \ ((K(z,y) * x) * u) = (x * K(y,z)) \ (x * u). T(x,K(y,z)) \ ((K(z,y) * x) * u) != w | x \ ((x * K(z,y)) * u) = w. x \ ((x * K(y,z)) * u) = (x * K(z,y)) \ (x * u). (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). L(x * y,K(x,z),u) = u \ ((u * K(z,x)) * (T(x,z) * y)). x \ ((x * K(y,z)) * (T(z,y) * u)) = L(z * u,K(z,y),x). (x * (y \ (y * K(z,u)))) * (y \ x) = x * ((y * K(u,z)) \ (y * (y \ x))). ((K(x,y) \ z) * K(y,x)) \ ((K(x,y) \ z) * u) = (K(x,y) \ z) \ (T(z,K(x,y)) * u). (x * K(y,z)) * (u \ x) = x * ((u * K(z,y)) \ (u * (u \ x))). x * ((y * K(z,u)) \ (y * (y \ x))) = (x * K(u,z)) * (y \ x). x * ((y * K(z,u)) \ x) = (x * K(u,z)) * (y \ x). (x * K(y,z)) * (u \ x) = x * ((u * K(z,y)) \ x). K(x,y) * (z \ y) = (z * K(y,x)) \ y. (x * K(y,z)) \ y = K(z,y) * (x \ y). x \ (K(y,x) * (z \ x)) = (z * T(x,y)) \ x. T(x,y) \ (z \ x) = (z * T(x,y)) \ x. (x * T(y,z)) \ y = T(y,z) \ (x \ y). (T(x,y) \ (z \ x)) * K(z,x) = x / (z * T(x,y)). (x \ (y \ z)) * K(y,z) != u | x \ (z / y) = u. T(x,y) \ (x / z) = x / (z * T(x,y)). x / (y * T(x,z)) = T(x,z) \ (x / y). T(x,y) / (z * x) = T(T(x,y),y \ x) \ (T(x,y) / z). T(T(x,y),y \ x) \ (T(x,y) / z) = T(x,y) / (z * x). x \ (T(x,y) / z) = T(x,y) / (z * x). T(x,y) / (z * x) = x \ (T(x,y) / z). ((K(x,y) * z) * K(x,y)) \ ((K(y,x) \ z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). (K(x,y) * (z * K(x,y))) \ ((K(y,x) \ z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). (K(x,y) * (z * K(x,y))) \ ((K(x,y) * z) * u) = (K(y,x) \ z) \ (T(z,K(y,x)) * u). L(K(x,y) \ z,K(x,y),K(x,y) * u) = (K(y,x) \ u) \ (T(u,K(y,x)) * z). L(K(x,y) * z,K(y,x),K(y,x) * u) = (K(x,y) \ u) \ (T(u,K(x,y)) * z). L(K(x,y) * z,K(y,x),K(y,x) * u) = (K(y,x) * u) \ (T(u,K(x,y)) * z). K(x,L(T(y,z),T(z,u),z \ w)) \ w = T(z,u) * ((K(x,T(y,z)) * T(z,u)) \ w). K(x,L(T(y,z),z,z \ u)) \ u = T(z,w) * ((K(x,T(y,z)) * T(z,w)) \ u). K(L(T(x,y),y,y \ z),u) * z = T(y,w) * ((K(u,T(x,y)) * T(y,w)) \ z). T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(L(T(u,x),x,x \ w),z) * w. T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(T(u,x),L(z,x,x \ w)) * w. T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(u,T(L(z,x,x \ w),x)) * w. T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = K(u,L(T(z,x),x,x \ w)) * w. x != K(y,L(T(z,u),u,u \ w)) * w | u * ((u * K(z,y)) \ w) = x. x * ((x * K(y,z)) \ u) = T(x,w) * ((K(y,T(z,x)) * T(x,w)) \ u). T(x,y) * ((K(z,T(u,x)) * T(x,y)) \ w) = x * ((x * K(z,u)) \ w). T(x,y) * ((T(x,y) * K(z,u)) \ w) = x * ((x * K(z,u)) \ w). K(x,y) * ((T(x,y) * K(z,u)) \ w) = (x * K(z,u)) \ w. x \ ((K(y,z) * (T(x,u) * w)) * a(K(y,z),x,K(x,u) * w)) = (K(z,y) * x) \ (T(x,u) * w). x \ ((K(y,z) * (T(x,u) * w)) * a(y,x,K(K(x,u) * w,z))) = (K(z,y) * x) \ (T(x,u) * w). K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,y / z)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). K(x,(y / z) \ u) * K(L(u,z,z \ 1),K(x,z \ y)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). K(x,(y / z) \ u) * K(u,L(K(x,z \ y),z,z \ 1)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). K(x,(y / z) \ u) * K(u,K(x,z \ y)) = K(x,L(u,z,z \ 1) / (y * (z \ 1))). K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,(u / z) \ y) * K(y,K(x,z \ u)). x != K(y,(z / u) \ w) * K(w,K(y,u \ z)) | K(y,w / (z / u)) = x. K(x,y / (z / u)) = K(x,L(y,u,u \ 1) / (z * (u \ 1))). K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). K(x,L(y,z,z \ 1) / (u * (z \ 1))) != w | K(x,L((y * z) / u,y,z \ 1)) = w. K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u / z)). K(x,((y \ 1) * z) / (u * (y \ 1))) = K(x,(y \ z) / (u / y)). K(x,L(y,z,z \ 1) / ((z \ 1) * u)) = K(x,y / (T(u,z) / z)). a(x,y,K((y * z) / u,z)) * K(x,(y * z) / u) = K(x,y / (u / z)). K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u * ((y * z) \ y))) = w. K(x,y / (z * ((y * u) \ y))) = K(x,y / (z / u)). x != K(y,z / (T(u,w) / w)) | K(y,z / (w \ u)) = x. K(x,y / (z \ u)) = K(x,L(y,z,z \ 1) / ((z \ 1) * u)). K(x,L(y,z,z \ 1) / ((z \ 1) * u)) = K(x,y / (z \ u)). a(x,y,K(z * (y / u),z)) * K(x,(y * z) / u) = K(x,y / (u / z)). a(x,y,K(y / z,u)) * K(x,(y * u) / z) = K(x,y / (z / u)). a(x,y,K(z \ y,u)) * K(x,(y * u) / z) = K(x,y / (z / u)). a(x,y,K(z,u \ y)) * K(z,(y * x) / u) = K(z,y / (u / x)). a(x,y,K((z / T(u,z)) \ y,w)) * K(x,(y * w) / (u \ z)) = K(x,y / ((z / T(u,z)) / w)). a(x,y,K(z,(u \ w) \ y)) * K(z,(y * x) / (w / u)) = K(z,y / ((w / u) / x)). a(x,y,K(z,((u / w) \ 1) \ y)) * K(z,(y * x) / T(1 / (u / w),w / u)) = K(z,y / ((1 / (u / w)) / x)). a(x,y,K((z \ u) \ y,w)) * K(x,(y * w) / (z \ u)) = K(x,y / ((u / T(z,u)) / w)). a(x,y,K(z \ y,u)) * K(x,(y * u) / z) != w | K(x,y / (z / u)) = w. K(x,y / ((z \ u) / w)) = K(x,y / ((u / T(z,u)) / w)). K(x,y / ((z / T(u,z)) / w)) = K(x,y / ((u \ z) / w)). x != K(y,K(z,u) * ((w * (v5 * K(z,u))) \ v6)) | K(y,(w * v5) \ v6) = x. K(x,((K(y,z) * u) * w) \ v5) = K(x,(K(y,L(z,u,w * K(v6,v7))) * (u * w)) \ v5). K(x,(K(y,L(z,u,w * K(v5,v6))) * (u * w)) \ v7) = K(x,((K(y,z) * u) * w) \ v7). K(x,((y * z) \ u) * K(L(w,y,z * K(v5,v6)),v7)) = K(x,((K(v7,w) * y) * z) \ u). K(x,K(y,z) * ((u * w) \ v5)) = K(x,((K(z,y) * u) * w) \ v5). K(x,((K(y,z) * u) * w) \ v5) = K(x,K(z,y) * ((u * w) \ v5)). T(x,((K(y,z) * u) * w) \ v5) = x * K(x,K(z,y) * ((u * w) \ v5)). x * K(x,K(y,z) * ((u * w) \ v5)) = T(x,((K(z,y) * u) * w) \ v5). T(x,K(y,z) * ((u * w) \ v5)) = T(x,((K(z,y) * u) * w) \ v5). T(x,((K(y,z) * u) * w) \ v5) = T(x,K(z,y) * ((u * w) \ v5)). T(T(x,K(y,z * u)),((K(w,v5) * z) * u) \ y) != v6 | T(x,y / ((K(w,v5) * z) * u)) = v6. T(x,y / ((K(z,u) * w) * v5)) = T(T(x,K(y,w * v5)),K(u,z) * ((w * v5) \ y)). T(T(x,K(y,z * u)),K(w,v5) * ((z * u) \ y)) = T(x,y / ((K(v5,w) * z) * u)). T(x,y * ((z * u) \ K(w,v5))) = T(x,y / ((K(v5,w) * z) * u)). T(x,y / ((K(z,u) * w) * v5)) = T(x,y * ((w * v5) \ K(u,z))). T(x,y / ((K(z,u) * w) * y)) != v5 | T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))) = v5. T(x,T(y,K(z,u) * w) * ((y * w) \ K(u,z))) = T(x,y * ((w * y) \ K(u,z))). T(x,T(y,z \ K(u,w)) * ((y * (z \ 1)) \ K(w,u))) = T(x,y * (((z \ 1) * y) \ K(w,u))). T(x,y * ((z * (u \ 1)) \ K(w,v5))) != v6 | T(x,y / (z * (u \ K(v5,w)))) = v6. T(x,T(y,z \ K(u,w)) / (y * (z \ K(u,w)))) = T(x,y * (((z \ 1) * y) \ K(w,u))). T(x,y / ((z \ K(u,w)) * y)) = T(x,y * (((z \ 1) * y) \ K(w,u))). T(x,y * (((z \ 1) * y) \ K(u,w))) = T(x,y / ((z \ K(w,u)) * y)). T(x,y * ((z * y) \ K(u,w))) = T(x,y / (((z \ 1) \ K(w,u)) * y)). T(x,y / (((z \ 1) \ K(u,w)) * y)) = T(x,y * ((z * y) \ K(w,u))). T(x,y / (z * y)) != u | T(x,z \ 1) = u. T(x,((y \ 1) \ K(z,u)) \ 1) = T(x,w * ((y * w) \ K(u,z))). T(x,K(y,z) * (u \ 1)) = T(x,w * ((u * w) \ K(y,z))). T(x,y * ((z * y) \ K(u,w))) = T(x,K(u,w) * (z \ 1)). x != T(y,K(z,u) * (w \ 1)) | T(y,w \ K(z,u)) = x. T(x,y \ K(z,u)) = T(x,w * ((y * w) \ K(z,u))). T(x,y * ((z * y) \ K(u,w))) = T(x,z \ K(u,w)). T(x,y * (z \ K(u,w))) = T(x,(z / y) \ K(u,w)). T(x,(y / z) \ K(u,w)) = T(x,z * (y \ K(u,w))). T(T(x,y * (z \ K(u,w))),K(v5,y * (z \ K(u,w)))) = T(x,T((z / y) \ K(u,w),v5)). T(x,T(y * (z \ K(u,w)),v5)) = T(x,T((z / y) \ K(u,w),v5)). T(x,T((y / z) \ K(u,w),v5)) = T(x,T(z * (y \ K(u,w)),v5)). T(x,T((y / z) \ K(z,u),w)) != v5 | T(x,T((y / T(z,u)) \ 1,w)) = v5. T(x,T((y / T(z,u)) \ 1,w)) = T(x,T(z * (y \ K(z,u)),w)). x != T(y,T(z * (u \ K(z,w)),v5)) | T(y,T(T(z,w) / u,v5)) = x. T(x,T(T(y,z) / u,w)) = T(x,T((u / T(y,z)) \ 1,w)). T(x,T((y / T(z,u)) \ 1,w)) = T(x,T(T(z,u) / y,w)). T(x,T((y / T(z,K(u,w))) \ 1,v5)) != v6 | T(x,T((y / z) \ 1,v5)) = v6. T(x,T((y / z) \ 1,u)) = T(x,T(T(z,K(w,v5)) / y,u)). T(x,T(T(y,K(z,u)) / w,v5)) = T(x,T((w / y) \ 1,v5)). 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)). K(x,y * (T(z,T(u / w,w)) / (u \ w))) = K(x,y * (z * ((z / T(w / u,w)) / z))). K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * (z * ((z / T(u / w,u)) / z))). x != K(y,z * (u * (w / u))) | K(y,z * T(w,u)) = x. K(x,y * T(z / T(u / w,u),z)) = K(x,y * (T(z,u \ w) / (w \ u))). K(x,y * T(z / u,z)) != w | K(x,y * (u \ z)) = w. K(x,y * (T(z / u,z) \ w)) = K(x,y * (T(w,z \ u) / (u \ z))). K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * (T(u / w,u) \ z)). x != K(y,z * (T(u / w,u) \ v5)) | K(y,z * ((w \ u) \ v5)) = x. K(x,y * ((z \ u) \ w)) = K(x,y * (T(w,u \ z) / (z \ u))). K(x,y * (T(z,u \ w) / (w \ u))) = K(x,y * ((w \ u) \ z)). a(x,y,K(z,(u / w) * y)) * K(z,(y * x) / T(1 / (u / w),w / u)) = K(z,y / ((1 / (u / w)) / x)). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / T(1 / (w / u),u / w)) = K(z,y / ((1 / (w / u)) / x)). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / (1 / (w / u))) = K(z,y / ((1 / (w / u)) / x)). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / ((1 / (w / u)) / x)). x != K(y,z / ((1 / u) / w)) | K(y,z / ((u \ 1) / w)) = x. K(x,y / (((z / u) \ 1) / w)) = a(w,y,K(x,(u \ z) * y)) * K(x,(y * w) * (z / u)). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / (((w / u) \ 1) / x)). K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(((z \ y) \ 1) * y,u,y \ w)). x != K(y,L((z \ 1) * u,w,v5)) | K(y,L(z \ u,w,v5)) = x. K(x,L((y \ z) \ z,u,z \ w)) = K(x,L(((z / y) \ 1) * (y * (z / y)),u,((z / y) \ 1) * w)). K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L((z \ y) \ y,u,y \ w)). x != K(y,L((z \ u) \ u,w,v5)) | K(y,L(T(z,u),w,v5)) = x. K(x,L(T(y,z),u,z \ w)) = K(x,L(((z / y) \ 1) * (y * (z / y)),u,((z / y) \ 1) * w)). K(x,L(((y / z) \ 1) * (z * (y / z)),u,((y / z) \ 1) * w)) = K(x,L(T(z,y),u,y \ w)). K(x,L(((y \ z) \ 1) * z,u,((z / y) \ 1) * w)) = K(x,L(T(y,z),u,z \ w)). K(x,L(((y \ z) \ 1) * z,u,(z / y) \ w)) = K(x,L(T(y,z),u,z \ w)). K(x,L(((y \ z) \ 1) * z,u,(y \ z) \ w)) = K(x,L(T(y,z),u,z \ w)). K(x,L((y \ z) \ z,u,(y \ z) \ w)) = K(x,L(T(y,z),u,z \ w)). K(x,y \ ((y / (z \ u)) * u)) = K(x,L(T(z,u),y,u \ y)). K(x,y \ ((y / ((z \ u) \ u)) * u)) != w | K(x,(u * (z \ y)) / y) = w. K(x,(y * (z \ u)) / u) = K(x,L(T(z \ y,y),u,y \ u)). K(x,L(T(y \ z,z),u,z \ u)) = K(x,(z * (y \ u)) / u). K(x,L(y / z,u,y \ u)) = K(x,(y * (z \ u)) / u). K(x,y / (z * (u \ y))) = K(x,(u * (z \ y)) / y). K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). K(x,(y * (T(z,y) \ u)) / u) != w | K(x,u \ ((u / z) * y)) = w. K(x,y \ ((y / z) * u)) = K(x,y / (T(z,u) * (u \ y))). K(x,y / (T(z,u) * (u \ y))) = K(x,y \ ((y / z) * u)). K(x,y / (T(z,u) * (u \ y))) != w | K(x,((y / u) * z) \ y) = w. K(x,((y / z) * u) \ y) = K(x,y \ ((y / u) * z)). K(x,((y / z) * ((u * w) \ u)) \ u) != v5 | K(x,((T(z,y) \ y) / w) \ u) = v5. K(x,((T(y,z) \ z) / u) \ z) = K(x,z \ ((z / ((z * u) \ z)) * y)). K(x,y \ ((y / ((y * z) \ y)) * u)) = K(x,((T(u,y) \ y) / z) \ y). K(x,((y / (z * y)) * u) \ y) != w | K(x,(z \ u) \ y) = w. K(x,(y \ z) \ u) = K(x,u \ ((u / z) * (y * u))). K(x,y \ ((y / z) * (u * y))) = K(x,(u \ z) \ y). K(x,T(((y / z) * u) \ y,w)) = T(K(x,y \ ((y / u) * z)),w). K(x,y \ ((y / (z * y)) * u)) != w | K(x,y \ (z \ u)) = w. K(x,y \ (z \ (u * y))) = K(x,(u \ (z * y)) \ y). K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). x / (K(y,z \ (u \ (w * z))) * x) = K((w \ (u * z)) \ z,y). K(x,T(y \ ((y / z) * u),w)) = K(x,T(((y / u) * z) \ y,w)). K(x,T(((y / z) * u) \ y,w)) = K(x,T(y \ ((y / u) * z),w)). K((x \ (y * z)) \ z,u) != w | K(z \ (y \ (x * z)),u) = w. K(x,y / ((y / z) * u)) = K(x,T(y \ ((y / u) * z),y)). K(x,T(y \ ((y / z) * u),y)) = K(x,y / ((y / u) * z)). K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). x != K(y,z / (u * ((z * w) \ z))) | K(y,z / (u / w)) = x. K(x,y / ((y / z) / u)) = K(x,((y / ((y * u) \ y)) * z) / y). K(x,((y / ((y * z) \ y)) * u) / y) = K(x,y / ((y / u) / z)). K(x,((y * z) * u) / y) = K(x,y / ((y / u) / z)). K(x,((y * z) * L(u \ 1,u,y)) / y) = K(x,y / ((y * u) / z)). K(x,(y * L(z \ 1,z,u)) / u) != w | K(x,(y / z) / u) = w. K(x,((y * z) / u) / y) = K(x,y / ((y * u) / z)). K(x,y \ ((y * z) * u)) = K(x,((T(u,y) \ y) / z) \ y). K(x,((T(y,z) \ z) / u) \ z) = K(x,z \ ((z * u) * y)). K(x,((T(y,z) \ z) / u) \ w) != v5 | K(x,((z / y) / u) \ w) = v5. K(x,((y / z) / u) \ y) = K(x,y \ ((y * u) * z)). K(x,(y / z) \ u) = K(x,u \ ((u * z) * (y \ u))). K(x,y \ ((y * z) * (u \ y))) = K(x,(u / z) \ y). K(x,y \ (z * (u \ y))) != w | K(x,y \ (z / (y \ u))) = w. K(x,y \ ((y * z) / (y \ u))) = K(x,(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)). L(T((R(x,y,z) \ x) \ 1,u),(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(w \ 1,T(u,z)))). x != K(y,z * (u * K(w,T(v5,v6)))) | K(y,z * (K(w,v5) * u)) = x. K(x,y * (K(z \ 1,u) * (((w * u) / w) / z))) = K(x,y * ((((w * u) / w) \ (((w * u) / w) / z)) * T(u,w))). K(x,y * ((((z * u) / z) / w) * K(u,w))) = K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))). K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * ((((z * u) / z) / w) * K(u,w))). K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * (((z * u) / z) / T(w,u))). x != K(y,z * (((u * w) / u) / T(v5,w))) | K(y,z * (v5 \ ((u * w) / u))) = x. K(x,y * (z \ ((u * w) / u))) = K(x,y * ((((u * w) / u) \ (((u * w) / u) / z)) * T(w,u))). K(x,y * ((((z * u) / z) \ (((z * u) / z) / w)) * T(u,z))) = K(x,y * (w \ ((z * u) / z))). K(x,y * (((z \ (z * u)) \ ((z \ (z * u)) / w)) * T(u,z))) = K(x,y * (w \ ((z * u) / z))). K(x,y * ((z \ ((u \ (u * z)) / w)) * T(z,u))) = K(x,y * (w \ ((u * z) / u))). K(x,y * ((z \ (z / u)) * T(z,w))) = K(x,y * (u \ ((w * z) / w))). K(x,y * (z \ ((u * w) / u))) = K(x,y * ((w \ (w / z)) * T(w,u))). x != K(y,z * ((u \ w) * T(u,v5))) | K(y,z * T(K(u,v5) * w,u)) = x. K(x,y * T(K(z,u) * (z / w),z)) = K(x,y * (w \ ((u * z) / u))). K(x,y * T(T(z,u) / w,z)) = K(x,y * (w \ ((u * z) / u))). K(x,y * T(T(z,u) / w,z)) != v5 | K(x,y * (w \ T(z,u))) = v5. K(x,y * (z \ T(u,w))) = K(x,y * (z \ ((w * u) / w))). K(x,y * (z \ ((u * w) / u))) = K(x,y * (z \ T(w,u))). K(x,y * (z \ T(u,w \ 1))) = K(x,y * (z \ T(u,w))). K(x,y * (z \ T(u * w,w \ 1))) = K(x,y * (z \ (T(u,w) * w))). K(x,y * (z \ (u * w))) = K(x,y * (z \ (T(w,u) * u))). K(x,y * (z \ (T(u,w) * w))) = K(x,y * (z \ (w * u))). K(x,(y \ (T(z,u) * u)) * w) = K(x,T(w,(T(z,u) * u) \ y) * (y \ (u * z))). K(x,T(y,(T(z,u) * u) \ w) * (w \ (u * z))) = K(x,(w \ (T(z,u) * u)) * y). K(x,T(y,(z * u) \ w) * (w \ (z * u))) = K(x,(w \ (T(u,z) * z)) * y). K(x,(y \ (T(z,u) * u)) * w) != v5 | K(x,(y \ (u * z)) * w) = v5. K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,K(x,(x / z) \ y)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(((x \ (y * z)) * x) / z,K(x,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(x,K(x \ (z * y),z \ ((x \ (y * z)) * x))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(x,K((x \ (y * z)) \ z,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(x,K(x \ (z * y),(x \ (y * z)) \ z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(x,K(x \ (z * y),(y * z) \ (x * z))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K((y * z) \ z,K(x,x \ (z * y))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(z * y,K(x,(y * z) \ z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(z * y,K(x,z \ (y \ z))) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(y,K(x,z * y)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x,x \ (y * z)) \ K(x,K(y,z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. K(x \ (y * z),x) * K(x,K(y,z)) = ((((x \ (y * z)) * x) / z) \ y) \ 1. ((((x \ (y * z)) * x) / z) \ y) \ 1 = K(x \ (y * z),x) * K(x,K(y,z)). K((x / y) \ z,x) = K(x \ (z * y),x) * K(x,K(z,y)). K(x \ (y * z),x) * K(x,K(y,z)) = K((x / z) \ y,x). K(x \ (y * z),x) * K(x,K(y,z)) != u | K(z / (y \ x),x) = u. K(x / (y \ z),z) = K((z / x) \ y,z). x != K((y / z) \ u,y) | K(y \ (z * u),y) = 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),y) | K(z * (y \ u),y) = x. K(x * (y \ z),y) = K(x / (z \ y),y). K(x / (y \ z),z) = K(x * (z \ y),z). L(T(x \ R(x,y,z),u),(x \ 1) \ 1,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(L(x \ 1,y \ 1,T(z \ 1,u)) \ (x \ 1),(x \ 1) \ 1,w). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L((R(x,y,T(z,u)) \ 1) \ (x \ 1),(x \ 1) \ 1,w). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L((R(x,y,T(z,u)) \ x) \ 1,(x \ 1) \ 1,w). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(T(R(x,y,z) \ x,u) \ 1,(x \ 1) \ 1,w). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(T((R(x,y,z) \ x) \ 1,u),(x \ 1) \ 1,w). L(T((R(x,y,z) \ x) \ 1,u),(x \ 1) \ 1,w) = L(T(x \ R(x,y,z),u),x,T(w,v5)). L(T(x \ R(x,y,z),u),(x \ 1) \ 1,w) = L(T(x \ R(x,y,z),u),x,T(w,v5)). L(T(x \ R(x,y,z),u),x,w) = L(T(x \ R(x,y,z),u),x,T(w,v5)). L(T(x \ R(x,y,z),u),x,T(w,v5)) = L(T(x \ R(x,y,z),u),x,w). a(x * (y \ z),y \ x,K(y,u)) * K(u,T((((w * y) / w) \ x) * y,K(y,w)) / ((z \ 1) * T(y,w))) = K(u,(y \ x) * z). a(x * (y \ z),x,K(y,u)) * K(u,T((((w * y) / w) \ x) * y,K(y,w)) / ((z \ 1) * T(y,w))) = K(u,(y \ x) * z). a(x * y,x,K(z,u)) * K(u,T((((w * z) / w) \ x) * z,K(z,w)) / ((y \ 1) * T(z,w))) = K(u,(z \ x) * y). a(x * y,x,K(z,u)) * K(u,((z \ x) * T(z,w)) / ((y \ 1) * T(z,w))) = K(u,(z \ x) * y). a(x * y,x,K(z,u)) * K(u,((z \ x) * z) / ((y \ 1) * z)) = K(u,(z \ x) * y). a(x * y,x,K(z,u)) * K(u,T(x,z) / ((y \ 1) * z)) = K(u,(z \ x) * y). a(x,y,K(z * y,u)) * K(x,T(y,u) / ((z \ 1) * u)) = K(x,(u \ y) * z). a(x,(y \ z) \ 1,K(u / (y \ z),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). a(x,(y \ z) \ 1,K(u * (z \ y),z)) * K(x,(((z / y) \ 1) * (y * (z / y))) / ((u \ 1) * z)) = K(x,((y \ z) \ 1) * u). a(x,(y \ x) \ 1,K(z,u * y)) * K(z,(((x / y) \ 1) * (y * (x / y))) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). a(x,y,K(z,u * y)) * K(z,(((x / y) \ 1) * (y * (x / y))) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). a(x,y,K(z,u * y)) * K(z,(((y \ x) \ 1) * x) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). a(x,y,K(z,u * y)) * K(z,(x * ((x / y) \ 1)) / ((u \ 1) * x)) = K(z,((y \ x) \ 1) * u). K(x,(y \ z) \ u) = a(z,y,K(x,u * y)) * K(x,(z * ((z / y) \ 1)) / ((u \ 1) * z)). a(x,y,K(z,u * y)) * K(z,(x * ((x / y) \ 1)) / ((u \ 1) * x)) = K(z,(y \ x) \ u). a(x,y,K(z * y,u)) * K(x,(u * ((u / y) \ 1)) / ((z \ 1) * u)) = K(x,(y \ u) \ z). K(x,y * (z * T(u * (w * K(v5,v6)),K(L(v6,w,u),v5) * 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). K(x,y * (z * T(u * (w * K(v5,v6)),K(v6,L(v5,w,u)) * 1))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). K(x,y * (z * T(u * (w * K(v5,v6)),K(v6,L(v5,w,u))))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). K(x,y * (z * (u * (w * K(v5,v6))))) = K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))). K(x,y * (z * ((((u * w) * K(v5,L(v6,w,u))) \ (u * w)) \ (u * w)))) = K(x,y * (z * (u * (w * K(v5,v6))))). K(x,y * (z * (K(u,L(w,v5,v6)) * (v6 * v5)))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). K(x,y * (z * ((K(u,w) * v5) * T(v6,v5)))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). K(x,y * (z * ((K(u,w) * v5) * v6))) != v7 | K(x,y * (z * (K(u,w) * (v5 * v6)))) = v7. K(x,y * (z * (K(u,w) * (v5 * T(v6,v5))))) = K(x,y * (z * (v6 * (v5 * K(u,w))))). K(x,y * (z * (K(u,w) * (v5 * v6)))) = K(x,y * (z * (v5 * (v6 * K(u,w))))). K(x,y * (K(z,u) * (w * v5))) = K(x,K(v6,K(v7,v8)) * (y * (w * (v5 * K(z,u))))). K(x,K(y,K(z,u)) * (w * (v5 * (v6 * K(v7,v8))))) = K(x,w * (K(v7,v8) * (v5 * v6))). K(x,y * (z * (u * K(w,v5)))) = K(x,y * (K(w,v5) * (z * u))). K(x,y * (K(z,u) * (w * v5))) = K(x,y * (w * (v5 * K(z,u)))). x != K(y,z * (u * ((w / v5) * K(w,v6)))) | K(y,z * (u * (T(w,v6) / v5))) = x. K(x,y * (z * (T(u,w) / v5))) = K(x,y * (K(u,w) * (z * (u / v5)))). K(x,y * (K(z,u) * (w * (z / v5)))) = K(x,y * (w * (T(z,u) / v5))). K(x,y * (K(z,u) * (w * K(v5,u)))) != v6 | K(x,y * (u * (T(T(u,z),v5) \ w))) = v6. K(x,y * (z * (T(T(z,u),w) \ v5))) = K(x,y * (v5 * (K(w,z) * K(u,z)))). K(x,y * (K(z,u) * (w * (z / u)))) != v5 | K(x,y * (w * (u \ z))) = v5. K(x,y * (z * (u \ w))) = K(x,y * (z * (T(w,u) / u))). K(x,y * (z * (T(u,w) / w))) = K(x,y * (z * (w \ u))). K(x,K(y,z) * (u * (T(T(u,w),v5) \ y))) = K(x,T(y,z) * (K(v5,u) * K(w,u))). K(x,y * (T(T(y,z),z) \ T(u,w))) = K(x,T(u,w) * (K(z,y) * K(z,y))). K(x,T(y,z) * (K(u,w) * K(u,w))) = K(x,w * (T(T(w,u),u) \ T(y,z))). K(x,T(y,z) * (K(u,w) * K(v5,v6))) != v7 | K(x,T(K(v5,v6) * (y * K(u,w)),z)) = v7. K(x,T(K(y,z) * (u * K(y,z)),w)) = K(x,z * (T(T(z,y),y) \ T(u,w))). K(x,T(K(y,z) * (u * K(y,z)),w)) != v5 | K(x,T(z * (T(T(z,y),y) \ u),w)) = v5. K(x,T(y * (T(T(y,z),z) \ u),w)) = K(x,y * (T(T(y,z),z) \ T(u,w))). x != K(y,z * (T(T(z,u),u) \ w)) | K(y,w) = x. K(x,T(y,z)) = K(x,T(u * (T(T(u,w),w) \ y),z)). K(x,T(y * (T(T(y,z),z) \ u),w)) = K(x,T(u,w)). K(x,T(y * (T(T(y,z),z) \ (u \ w)),u)) != v5 | K(x,(w / K(y,z)) * ((1 / u) * K(z,y))) = v5. K(x,(y / K(z,u)) * ((1 / w) * K(u,z))) = K(x,T(w \ y,w)). K(x,T(y \ z,y)) = K(x,(z / K(u,w)) * ((1 / y) * K(w,u))). K(x,y / z) = K(x,(y / K(u,w)) * ((1 / z) * K(w,u))). K(x,(y / K(z,u)) * ((1 / w) * K(u,z))) = K(x,y / w). K(x,(y * K(z,u)) * ((1 / w) * K(z,u))) = K(x,y / w). K(x,y * ((1 / z) * u)) != w | K(x,y * ((z \ 1) * u)) = w. K(x,(y * K(z,u)) * ((w \ 1) * K(z,u))) = K(x,y / w). K(x,(y * K(z,u)) * (w \ K(z,u))) = K(x,y / w). K(x,(y * z) * (u \ K(y,z))) = K(x,(z * y) / u). K(x,(y / z) * (u \ K(z,w))) = K(x,(y / T(z,w)) / u). K(x,y * (z \ K(u,w \ 1))) != v5 | K(x,y * (z \ K(w,u))) = v5. K(x,(y * (z \ 1)) * (u \ K(z,y))) = K(x,((z \ 1) * y) / u). ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = x * (x \ (L(y,z,u) * (y \ x))). L(x,y,z) * (x \ u) = ((u \ (u / x)) * L((u \ (u / x)) \ 1,y,z)) * ((u \ (u / x)) \ (x \ u)). ((x \ (x / y)) * L((x \ (x / y)) \ 1,z,u)) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). (x \ ((x / y) * L((x / y) \ x,z,u))) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). (x \ ((x / y) * L(y,z,u))) * ((x \ (x / y)) \ (y \ x)) = L(y,z,u) * (y \ x). (x \ ((x / y) * L(y,z,u))) * x = L(y,z,u) * (y \ x). T((x / y) * L(y,z,u),x) = L(y,z,u) * (y \ x). (L(x,y,z) * (x \ u)) / u = u \ ((u / x) * L(x,y,z)). L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). x / (L(y,z,u) * (y \ x)) = ((x / y) * L(y,z,u)) \ x. T(((x / y) * L(y,z,u)) \ x,x) = (L(y,z,u) * (y \ x)) \ x. T((L(x,y,y \ 1) / y) * L(y,z,u),L(x,y,y \ 1)) = L(y,z,u) * ((y \ 1) * x). (L(x,y,z) * (x \ u)) / ((x \ L(x,y,z)) * u) = u \ ((u / (x \ L(x,y,z))) * L(x \ L(x,y,z),x,u)). x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x)) = (L(y,z,u) * (y \ x)) / ((y \ L(y,z,u)) * x). (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,y,z))) = a(x,x \ L(x,y,z),u). (x * y) / (L(x,z,u) * y) = (((x * y) / x) * L(x,z,u)) \ (x * y). (((x * y) / x) * L(x,z,u)) \ (x * y) = (x * y) / (L(x,z,u) * y). x != (L(y,z,u) * (y \ w)) \ w | (y \ w) \ (L(y,z,u) \ w) = x. (x \ y) \ (L(x,z,u) \ y) = T(((y / x) * L(x,z,u)) \ y,y). T(((x / y) * L(y,z,u)) \ x,x) = (y \ x) \ (L(y,z,u) \ x). (((x * y) / x) * z) \ (x * y) != u | (y * z) \ (y * x) = u. (x * L(y,z,u)) \ (x * y) = (y * x) / (L(y,z,u) * x). (x * y) / (L(x,z,u) * y) = (y * L(x,z,u)) \ (y * x). (x * (L(x,y,z) \ u)) / u = ((L(x,y,z) \ u) * L(x,y,z)) \ ((L(x,y,z) \ u) * x). ((L(x,y,z) \ u) * L(x,y,z)) \ ((L(x,y,z) \ u) * x) = (x * (L(x,y,z) \ u)) / u. (x \ L(x,y,z)) \ (u \ ((u / x) * L(x,w,v5))) != v6 | x * (L(x,y,z) \ L(x \ L(x,w,v5),x,u)) = v6. x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = a(x,x \ L(x,y,z),u). T((x * (y \ 1)) * L(y,z,u),L(x,y,y \ 1)) = L(y,z,u) * ((y \ 1) * x). T((x * (y \ 1)) * L(y,z,u),x) = L(y,z,u) * ((y \ 1) * x). x != L(y,z,u) * ((y \ 1) * w) | (y \ 1) * (L(y,z,u) * w) = x. (x \ 1) * (L(x,y,z) * u) = T((u * (x \ 1)) * L(x,y,z),u). T((x * (y \ 1)) * L(y,z,u),x) = (y \ 1) * (L(y,z,u) * x). ((x \ 1) * (L(x,y,z) * u)) / u = u \ ((u * (x \ 1)) * L(x,y,z)). T((x * (y * (z * ((y * z) \ 1)))) * L(a(y,z,(y * z) \ 1),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). (x * (L(1 / x,y,z) * u)) / u = u \ ((u * ((1 / x) \ 1)) * L(1 / x,y,z)). x \ ((x * ((1 / y) \ 1)) * L(1 / y,z,u)) = (y * (L(1 / y,z,u) * x)) / x. x \ ((x * ((1 / y) \ 1)) * L(1 / y,z,u)) = (y * (L(y \ 1,z,u) * x)) / x. x \ ((x * y) * L(1 / y,z,u)) = (y * (L(y \ 1,z,u) * x)) / x. (x * (L(x \ 1,y,z) * u)) / u = u \ ((u * x) * L(1 / x,y,z)). (x * (L(x \ 1,y,z) * u)) / u = u \ ((u * x) * L(x \ 1,y,z)). (x * (L(x \ 1,y,z) * (x \ u))) / (x \ u) = (x \ u) \ (T(u,x) * L(x \ 1,y,z)). (a(x,x,y) * (L(a(x,x,y) \ 1,z,u) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). T(x,L(y,z,u)) \ ((L(y,z,u) \ x) * y) = (y * (L(y,z,u) \ x)) / x. x \ ((x / L(y,z,u)) * y) = (y * (L(y,z,u) \ x)) / x. (x * (L(x,y,z) \ u)) / u = u \ ((u / L(x,y,z)) * x). x / y != y \ z | T(z,y) = x. T((x / L(y,z,u)) * y,x) = y * (L(y,z,u) \ x). T(x \ ((x / L(y,z,u)) * y),x) = x \ (y * (L(y,z,u) \ x)). T(x \ ((x / L(y,z,u)) * y),x) != w | x \ (y * (L(y,z,u) \ x)) = w. T((x / L(y,z,z)) * y,x) != u | (x / L(y,z,z)) * y = u. (x / L(y,z,z)) * y = y * (L(y,z,z) \ x). T(x \ ((x / L(y,z,u)) * y),x) != x \ w | y * (L(y,z,u) \ x) = w. x != (L(y,z,u) * (y \ w)) / ((y \ L(y,z,u)) * w) | a(y,y \ L(y,z,u),w) = x. a(x,x \ L(x,y,z),u) = u \ ((u / (x \ L(x,y,z))) * L(x \ L(x,y,z),x,u)). x \ ((x / (y \ L(y,z,u))) * L(y \ L(y,z,u),y,x)) = a(y,y \ L(y,z,u),x). x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) = a(y,y \ L(y,z,u),x). K(x,T(y,K(z,u) * (w \ T(v5,w \ 1))) * ((w \ 1) * (T(v5,w \ 1) * K(z,u)))) = K(x,((K(z,T(u,v5 * (w \ 1))) * v5) * (w \ 1)) * y). K(x,T(y,z * (u \ K(w,v5))) * ((u \ 1) * (T(z,u \ 1) * K(w,v5)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). K(x,y * (z * (T(u,w) * K(v5,v6)))) != v7 | K(x,y * (z * T(K(v5,v6) * u,w))) = v7. K(x,T(y,z * (u \ K(w,v5))) * ((u \ 1) * T(K(w,v5) * z,u \ 1))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). K(x,T(y,z * (u \ K(w,v5))) * ((K(w,v5) * z) * (u \ 1))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). K(x,y * ((K(z,u) * w) * v5)) != v6 | K(x,y * (w * (K(z,u) * v5))) = v6. K(x,T(y,z * (u \ K(w,v5))) * (z * (K(w,v5) * (u \ 1)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). K(x,T(y,z * (u \ K(w,v5))) * (z * (u \ K(w,v5)))) = K(x,((K(w,T(v5,z * (u \ 1))) * z) * (u \ 1)) * y). K(x,(y * (z \ K(u,w))) * v5) = K(x,((K(u,T(w,y * (z \ 1))) * y) * (z \ 1)) * v5). K(x,((K(y,T(z,u * (w \ 1))) * u) * (w \ 1)) * v5) = K(x,(u * (w \ K(y,z))) * v5). K(x,((K(y,T(z,u / w)) * u) * (w \ 1)) * v5) = K(x,(u * (w \ K(y,z))) * v5). K(x,((K(y,T(z,u \ w)) * w) * (u \ 1)) * v5) = K(x,(w * (u \ K(y,z))) * v5). K(x,((K(y,z) * u) * w) * v5) != v6 | K(x,(u * w) * (v5 * K(y,z))) = v6. K(x,(y * (z \ 1)) * (u * K(w,T(v5,z \ y)))) = K(x,(y * (z \ K(w,v5))) * u). K(x,(y * (z \ 1)) * (K(u,w) * v5)) = K(x,(y * (z \ K(u,w))) * v5). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(x,y,K(w \ (T(T(z,z \ (w \ v5)),u) \ v5),T(T(z,w \ v5),u))). a(x \ (T(T(y,y \ (x \ z)),u) \ z),w,K(T(y,x \ z),v5)) = a(v5,w,K(T(T(y,T(u,x \ z)) \ (x \ z),y),T(T(y,y \ (x \ z)),u))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(w \ (T(T(z,z \ (w \ v5)),u) \ v5),y,K(T(z,w \ v5),x)). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(w \ (T(T(z,z \ (w \ v5)),u) \ v5),y,K(z,T(x,w \ v5))). a(x,y,K(z,u \ (T(T(x,x \ (u \ w)),v5) \ w))) = a(z,y,K(T(T(x,T(v5,u \ w)) \ (u \ w),x),T(T(x,x \ (u \ w)),v5))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (T(T(z,z \ (w \ v5)),u) \ v5))). x != a(y,z,K(u,w \ (T(v5,v6) \ v7))) | a(y,z,K(u,w \ (v5 \ v7))) = x. a(x,y,K(z,u \ (T(x,x \ (u \ w)) \ w))) = a(z,y,K(T(T(x,T(v5,u \ w)) \ (u \ w),x),T(T(x,x \ (u \ w)),v5))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (T(z,z \ (w \ v5)) \ v5))). a(x,y,K(z,u \ (x \ w))) = a(z,y,K(T(T(x,T(v5,u \ w)) \ (u \ w),x),T(T(x,x \ (u \ w)),v5))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,z \ (w \ v5)),u))) = a(z,y,K(x,w \ (z \ v5))). a(x,y,K(T(T(z,T(u,w \ v5)) \ (w \ v5),z),T(T(z,w \ v5),u))) = a(z,y,K(x,w \ (z \ v5))). a(x,y,K(T(z,T(u,w \ v5)) \ (w \ v5),T(T(T(z,w \ v5),u),z))) = a(z,y,K(x,w \ (z \ v5))). a(x,y,K(T(z,T(u,w \ v5)) \ (w \ v5),T(T(z,w \ v5),u))) = a(z,y,K(x,w \ (z \ v5))). a(x,y,K((z \ u) / T(w,T(v5,z \ u)),T(w,v5))) = a(w,y,K(x,z \ (w \ u))). a(x,y,K(z \ (u \ w),T(z,v5))) = a(z,y,K(x,u \ (z \ w))). a(x \ (y \ z),u,K(x,w)) = a(x,u,K(w,y \ (x \ z))). a(x \ (y \ z),u,K(x,w)) != v5 | a(z / (y * x),u,K(x,w)) = v5. a(x / (y * z),u,K(z,w)) = a(z,u,K(w,y \ (z \ x))). (x * K(y,z)) / a(y,u,K(z,u \ (y \ x))) = (x / (u * y)) * (u * T(y,z)). (x * K(y,z)) * a(u \ (y \ x),u,K(z,y)) = (x / (u * y)) * (u * T(y,z)). (x * K(y,z)) * a(u,w,K(v5,v6)) != v7 | x * (K(y,z) * a(u,w,K(v5,v6))) = v7. x * (K(y,z) * a(u \ (y \ x),u,K(z,y))) = (x / (u * y)) * (u * T(y,z)). x * K(y,L(z,u,u \ (y \ x))) = (x / (u * y)) * (u * T(y,z)). x * K(y,L(T(z,u),u,u \ (y \ x))) != w | (x / (y * u)) * (T(y,z) * u) = w. (x / (y * z)) * (T(y,u) * z) = (x / (z * y)) * (z * T(y,T(u,z))). (x / (y * z)) * (y * T(z,T(u,y))) = (x / (z * y)) * (T(z,u) * y). (x / y) * (y * K(z,T(u,y))) = (x / (z * y)) * (T(z,u) * y). (x / (y * z)) * (T(y,u) * z) = (x / z) * (z * K(y,T(u,z))). (x / (y * z)) * (T(y,u) * z) = (x / z) * (K(y,u) * z). R(x,y,z) * (T(y,u) * z) = (((x * y) * z) / z) * (K(y,u) * z). (((x * y) * z) / z) * (K(y,u) * z) = R(x,y,z) * (T(y,u) * z). (x * y) * (K(y,z) * u) = R(x,y,u) * (T(y,z) * u). R(x,y,z) * (T(y,u) * z) = (x * y) * (K(y,u) * z). K(x,L(y,z,u)) * (T(z,w) * u) = (K(x,y) * z) * (K(z,w) * u). K(x,L(T(y,z),z,u)) * (T(z,w) * u) != v5 | (T(z,w) * K(x,y)) * u = v5. (T(x,y) * K(z,u)) * w = (K(z,T(u,x)) * x) * (K(x,y) * w). (K(x,T(y,z)) * z) * (K(z,u) * w) = (T(z,u) * K(x,y)) * w. (x * K(y,z)) * (K(x,u) * w) = (T(x,u) * K(y,z)) * w. x != y * L(y \ z,u,u \ 1) | T(y * L(y \ z,u,u \ 1),z) = x. T((T(x,y) * K(z,u)) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). T(T(x,y) * (K(z,u) * L(K(z,u) \ (T(x,y) \ w),v5,v5 \ 1)),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). T(T(x,y) * (K(z,u) * L(K(u,z) * (T(x,y) \ w),v5,v5 \ 1)),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). T(T(x,y) * L(K(z,u) * (K(u,z) * (T(x,y) \ w)),v5,v5 \ 1),w) = (x * K(z,u)) * (K(x,y) * L((T(x,y) * K(z,u)) \ w,v5,v5 \ 1)). T(T(x,y) * L(T(x,y) \ z,u,u \ 1),z) = (x * K(w,v5)) * (K(x,y) * L((T(x,y) * K(w,v5)) \ z,u,u \ 1)). T(x * L(x \ y,z,z \ 1),y) != u | x * L(x \ y,z,z \ 1) = u. T(x,y) * L(T(x,y) \ z,u,u \ 1) = (x * K(w,v5)) * (K(x,y) * L((T(x,y) * K(w,v5)) \ z,u,u \ 1)). (x * K(y,z)) * (K(x,u) * L((T(x,u) * K(y,z)) \ w,v5,v5 \ 1)) = T(x,u) * L(T(x,u) \ w,v5,v5 \ 1). (x * K(y,z)) * L(K(x,u) * ((T(x,u) * K(y,z)) \ w),v5,v5 \ 1) = T(x,u) * L(T(x,u) \ w,v5,v5 \ 1). (x * K(y,z)) * L((x * K(y,z)) \ u,w,w \ 1) = T(x,v5) * L(T(x,v5) \ u,w,w \ 1). T(x,y) * L(T(x,y) \ z,u,u \ 1) = (x * K(w,v5)) * L((x * K(w,v5)) \ z,u,u \ 1). x != (y * z) * L((y * z) \ u,w,v5) | y * (z * L(z \ (y \ u),w,v5)) = x. x * (K(y,z) * L(K(y,z) \ (x \ u),w,w \ 1)) = T(x,v5) * L(T(x,v5) \ u,w,w \ 1). T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * (K(w,v5) * L(K(w,v5) \ (x \ z),u,u \ 1)). T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * (K(w,v5) * L(K(v5,w) * (x \ z),u,u \ 1)). T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * L(K(w,v5) * (K(v5,w) * (x \ z)),u,u \ 1). T(x,y) * L(T(x,y) \ z,u,u \ 1) = x * L(x \ z,u,u \ 1). T(x,y) * L(T(x,y) \ T(z,y),u,w) != v5 | T(x * L(x \ z,u,w),y) = v5. T(x * L(x \ y,z,z \ 1),u) = x * L(x \ T(y,u),z,z \ 1). x \ T(x * L(x \ y,z,z \ 1),u) = L(x \ T(y,u),z,z \ 1). (x \ (x * L(x \ y,z,z \ 1))) / L(x \ T(y,u),z,z \ 1) = K(u,T(x * L(x \ y,z,z \ 1),x)). L(x \ y,z,z \ 1) / L(x \ T(y,u),z,z \ 1) = K(u,T(x * L(x \ y,z,z \ 1),x)). K(x,T(y * L(y \ z,u,u \ 1),y)) = L(y \ z,u,u \ 1) / L(y \ T(z,x),u,u \ 1). K(x,L(y \ z,u,u \ 1) * y) = L(y \ z,u,u \ 1) / L(y \ T(z,x),u,u \ 1). L(x \ y,z,z \ 1) / L(x \ T(y,u),z,z \ 1) = K(u,L(x \ y,z,z \ 1) * x). x != K(y,L(z \ u,w,v5) * z) | K(y,z * L(u / z,w,v5)) = x. K(x,y * L(z / y,u,u \ 1)) = L(y \ z,u,u \ 1) / L(y \ T(z,x),u,u \ 1). L(x \ y,z,z \ 1) / L(x \ T(y,u),z,z \ 1) = K(u,x * L(y / x,z,z \ 1)). L(x \ y,z,z \ 1) / L(K(y,u) * (x \ y),z,z \ 1) = K(T(u,x),x * L(y / x,z,z \ 1)). K(T(x,y),y * L(z / y,u,u \ 1)) = L(y \ z,u,u \ 1) / L(K(z,x) * (y \ z),u,u \ 1). x != L(y,z,z \ 1) / L(K(u,w) * y,z,z \ 1) | K(w,u) = x. K(x,y) = K(T(x,z),z * L(y / z,u,u \ 1)). K(T(x,y),y * L(z / y,u,u \ 1)) = K(x,z). K(x,T(y * L(z / y,u,u \ 1),y)) = K(x,z). K(x,L(y / z,u,u \ 1) * z) = K(x,y). K(x,y * L(z,u,u \ 1)) = K(x,y * z). K(x,y * L(z / u,u,u \ 1)) != w | K(x,y * (z * (u \ 1))) = w. K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). K(x,y * (z * u)) = K(x,y * (z / (u \ 1))). K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). K(x,T(y,z \ u) * (u * (z \ 1))) != w | K(x,(u * (z \ 1)) * y) = w. K(x,(y * (z \ 1)) * u) = K(x,T(u,z \ y) * (y / z)). K(x,T(y,z \ u) * (u / z)) = K(x,(u * (z \ 1)) * y). K(x,x * (y \ z)) = K(x,T(z,y \ x) * (y \ x)). K(x,T(y,z \ x) * (z \ x)) = K(x,x * (z \ y)). K(x,y * ((z \ 1) * u)) != w | K(x,y * ((z \ a(v5,v6,v5)) * u)) = w. K(x,y * ((z \ a(u,w,u)) * v5)) = K(x,y * (z \ v5)). K(x,(y \ x) * z) = K(x,x * (y \ z)). K(x,T(y,z \ u) * (u / z)) != w | K(x,(u / z) * y) = w. K(x,(y / z) * u) = K(x,(y * (z \ 1)) * u). K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). K(x,(y * (z \ 1)) * (K(u,w) * v5)) != v6 | K(x,(y * (z \ K(u,w))) * v5) = v6. K(x,(y * (z \ K(u,w))) * v5) = K(x,(y / z) * (K(u,w) * v5)). K(x,(y * (z \ 1)) * (u \ K(z,y))) != w | K(x,((z \ 1) * y) / u) = w. K(x,((y \ 1) * z) / u) = K(x,(z / y) * (u \ K(y,z))). K(x,(y / z) * (u \ K(z,y))) = K(x,((z \ 1) * y) / u). K(x,(y / z) * (u \ K(z,w))) != v5 | K(x,(y / T(z,w)) / u) = v5. K(x,(y / T(z,y)) / u) = K(x,((z \ 1) * y) / u). K(x,(y / T(z,y)) / u) != w | K(x,(z \ y) / u) = w. K(x,(y \ z) / u) = K(x,((y \ 1) * z) / u). K(x,((y \ 1) * z) / u) = K(x,(y \ z) / u). K(x,((y \ 1) * (y * z)) / u) != w | K(x,L(z,y,y \ 1) / u) = w. K(x,L(y,z,z \ 1) / u) = K(x,(z \ (z * y)) / u). K(x,L(y,z,z \ 1) / u) = K(x,y / u). K(x,L(y,z,z \ 1) / ((z \ 1) * u)) != w | K(x,y / (z \ u)) = w. K(x,y / (z \ u)) = K(x,y / ((z \ 1) * u)). K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). K(x,(y * (z \ 1)) / u) = K(x,(y / z) / u). K(x,K(y,z * u)) * K(x,(u / z) / y) = K(x,y \ (u * (z \ 1))). a(x,y,K(z * y,u)) * K(x,(u / (u / y)) / ((z \ 1) * u)) = K(x,(y \ u) \ z). K(x,(y * (z \ K(u,w))) * T(v5,z \ y)) != v6 | K(x,v5 * (y * (z \ K(u,w)))) = v6. K(x,y * (z * (u \ K(w,v5)))) = K(x,(z / u) * (K(w,v5) * T(y,u \ z))). K(x,(y / z) * (K(u,w) * T(v5,z \ y))) = K(x,v5 * (y * (z \ K(u,w)))). K(x,K(y,z * u)) * K(x,(u / z) / y) != w | K(x,y \ (u / z)) = w. K(x,y \ (z / u)) = K(x,y \ (z * (u \ 1))). K(x,y \ (z * (u \ 1))) = K(x,y \ (z / u)). K(x,y \ (z * (u \ 1))) != w | K(x,y \ (z * (1 / u))) = w. K(x,y \ (z * (1 / u))) = K(x,y \ (z / u)). K(x,y * (K(z,u) * T(w,v5))) != v6 | K(x,y * T(w * K(z,u),v5)) = v6. K(x,(y / z) * T(u * K(w,v5),z \ y)) = K(x,u * (y * (z \ K(w,v5)))). K(x,T((y * K(z,u)) * (w / v5),K(w,v5))) = K(x,y * (w * (v5 \ K(z,u)))). K(x,(y * K(z,u)) * (w / v5)) = K(x,y * (w * (v5 \ K(z,u)))). K(x,y * (z * (u \ K(z,w)))) != v5 | K(x,y * (T(z,w) / u)) = v5. a(x,y,K(z * y,u)) * K(x,T(y,u) / ((z \ 1) * u)) = K(x,(y \ u) \ z). a(x,y,K(z * y,u)) * K(x,T(y,u) / ((z \ 1) * u)) != w | K(x,(u \ y) * z) = w. K(x,(y \ z) * u) = K(x,(z \ y) \ u). K(x,(y \ z) \ u) = K(x,(z \ y) * u). K(x,(y \ (z * u)) \ u) != w | K(x,u \ (z \ (y * u))) = w. K(x,y \ (z \ (u * y))) = K(x,((z * y) \ u) * y). K(x,((y * z) \ u) \ (z \ (y \ u))) != w | a(z \ u,z,K(y,x)) = w. a(x \ y,x,K(z,u)) = K(u,(y \ (z * x)) * (x \ (z \ y))). K(x,(y \ (z * u)) * (u \ (z \ y))) = a(u \ y,u,K(z,x)). K(x,(L(y \ L(y,z,u),y,w) \ L(y,z,u)) \ y) != v5 | a(w,y,K(L(y \ L(y,z,u),y,w),x)) = v5. a(x,y,K(L(y \ L(y,z,u),y,x),w)) = K(w,(L(y,z,u) \ L(y \ L(y,z,u),y,x)) * y). K(x,(L(y,z,u) \ L(y \ L(y,z,u),y,w)) * y) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). K(x,(y \ z) \ T(u,z \ y)) != w | K(x,u / (y \ z)) = w. K(x,y / (z \ u)) = K(x,(u \ z) * T(y,u \ z)). K(x,(y \ z) * T(u,y \ z)) = K(x,u / (z \ y)). K(x,y \ z) = K(x,((u * y) \ u) * z). K(x,((y * z) \ y) * u) = K(x,z \ u). K(x,(a(y \ 1,z,u) \ 1) \ w) = K(x,(((u \ 1) * ((z \ 1) * y)) \ (((z * u) \ 1) * y)) * w). K(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) * w) = K(x,(a(u \ 1,z,y) \ 1) \ w). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) / (u / w)) = K(z,y / ((u / w) / x)). K(x,(y / z) * u) = K(x,(z / y) \ u). K(x,(y / z) \ u) = K(x,(z / y) * u). K(x,((y * z) / u) \ y) != w | K(x,y \ ((y * u) / z)) = w. K(x,y \ ((y * z) / u)) = K(x,(z / (y * u)) * y). K(x,(y / T(z,u)) \ T(T(u,z),y \ z)) != w | K(x,u / (y / z)) = w. K(x,y / (z / u)) = K(x,(T(u,y) / z) * T(T(y,u),z \ u)). K(x,(T(y,z) / u) * T(T(z,y),u \ y)) = K(x,z / (u / y)). K(x,y * (z \ u)) = K(x,y / (u \ z)). K(x,y / (z \ u)) = K(x,y * (u \ z)). K(x,y / (z \ u)) != w | K(x,y / ((z \ 1) * u)) = w. K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). K(x,y / T(z,u)) = K(x,y * ((z * u) \ u)). K(x,y * ((z * u) \ u)) = K(x,y / T(z,u)). K(x,(y * z) / ((u \ 1) * z)) != w | K(x,L(y * u,y,z)) = w. K(x,L(y * z,y,u)) = K(x,(y * u) * (u \ z)). K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. K(x,y / (z * u)) = K(x,y * (u \ (z \ 1))). K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). K(x,L(y,T(z,u),w)) != v5 | K(x,L(y,z,w)) = v5. K(x,L(T(y,z) * u,y,w)) = K(x,(T(y,z) * w) * (w \ u)). K(x,T(y,z) * (T(z,y) / u)) = K(x,y / (u / z)). K(x,y * (z / u)) = K(x,y / (u / z)). K(x,y / (z / u)) = K(x,y * (u / z)). K(x,y / ((y * z) / u)) != w | K(x,((y * u) / z) / y) = w. K(x,((y * z) / u) / y) = K(x,y * (z / (y * u))). K(x,((y * z) / u) / y) != w | K(x,T(y \ (u \ (z * y)),z)) = w. K(x,T(y \ (z \ (u * y)),u)) = K(x,y * (u / (y * z))). x / (K(y,z * (u / (z * w))) * x) = K(T(z \ (w \ (u * z)),u),y). K(T(x \ (y \ (z * x)),z),u) = w / (K(u,x * (z / (x * y))) * w). K(x * (y / (x * z)),u) = K(T(x \ (z \ (y * x)),y),u). K(T(x \ (y \ (z * x)),z),u) = K(x * (z / (x * y)),u). K(x \ (y \ (z * x)),T(u,z)) = K(x * (z / (x * y)),u). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) = K(z,y / ((u / w) / x)). a(x,y,K(z,(u \ w) * y)) * K(z,(y * x) * (w / u)) != v5 | K(z,y / (((w / u) \ 1) / x)) = v5. K(x,y / (((z / u) \ 1) / w)) = K(x,y / ((u / z) / w)). K(x,y / (z / u)) != w | K(x,y * (u / z)) = w. K(x,y * (z / ((u / w) \ 1))) = K(x,y / ((w / u) / z)). K(x,y * (z / (u \ 1))) != w | K(x,y * (z * u)) = w. K(x,y * (z * (u / w))) = K(x,y / ((w / u) / z)). K(x,y / ((z / u) / w)) = K(x,y * (w * (u / z))). K(x,y / ((z / T(u,z)) / w)) != v5 | K(x,y / ((u \ z) / w)) = v5. K(x,y / ((z \ u) / w)) = K(x,y * (w * (T(z,u) / u))). K(x,y * (z * (T(u,w) / w))) = K(x,y / ((u \ w) / z)). K(x,y * (z * (T(u,w) / w))) != v5 | K(x,y * (z * (w \ u))) = v5. K(x,y * (z * (u \ w))) = K(x,y / ((w \ u) / z)). K(x,y / ((z \ u) / w)) = K(x,y * (w * (u \ z))). K(x,y * (z / (u \ w))) = K(x,y * (z * (w \ u))). K(x,y * (T(z,u \ w) / (w \ u))) != v5 | K(x,y * ((w \ u) \ z)) = v5. K(x,y * ((z \ u) \ w)) = K(x,y * (T(w,u \ z) * (u \ z))). K(x,y * (T(z,u \ w) * (u \ w))) = K(x,y * ((w \ u) \ z)). K(x,y * (T(z,u) * u)) != w | K(x,y * (u * z)) = w. K(x,y * ((z \ u) * w)) = K(x,y * ((u \ z) \ w)). K(x,y * ((z \ u) \ w)) = K(x,y * ((u \ z) * w)). K(x,y * (z \ (u \ 1))) != w | K(x,y / (u * z)) = w. K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) * (z \ 1))). K(x,y * ((z \ u) * (w \ 1))) = K(x,y / (w * (u \ z))). x / (K(y,z * ((u \ w) * v5)) * x) = K(z * ((w \ u) \ v5),y). K(x,y * (z * (u \ 1))) != w | K(x,y * (z / u)) = w. K(x,y * ((z \ u) / w)) = K(x,y / (w * (u \ z))). K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). K(x,y / (z * u)) = K(x,y * ((u \ a(w,v5,w)) / z)). K(x,y * ((z \ a(u,w,u)) / v5)) = K(x,y / (v5 * z)). K(x,y * (z / (u \ w))) != v5 | K(x,y * (z * (w \ u))) = v5. K(x,y * ((z \ a(u,w,u)) * (v5 \ v6))) = K(x,y / ((v6 \ v5) * z)). K(x * ((y \ z) * u),w) = K(x * ((z \ y) \ u),w). K(x * ((y \ z) \ u),w) = K(x * ((z \ y) * u),w). K(K(x,y) * ((T(y,x) \ z) \ u),w) != v5 | K((y \ z) \ u,w) = v5. K((x \ y) \ z,u) = K(K(w,x) * ((y \ T(x,w)) * z),u). K(K(x,y) * ((z \ T(y,x)) * u),w) = K((y \ z) \ u,w). K(K(x,y) * ((z \ T(y,x)) * u),w) != v5 | K((z \ y) * u,w) = v5. K((x \ y) * z,u) = K((y \ x) \ z,u). K((x \ y) \ z,u) = K((y \ x) * z,u). K(x \ (y \ (z * x)),u) = K(((y * x) \ z) * x,u). K(x \ (y \ (z * x)),T(u,z)) != w | K(x * (z / (x * y)),u) = w. K(x * (y / (x * z)),u) = K(((z * x) \ y) * x,T(u,y)). K(((x * y) \ z) * y,T(u,z)) = K(y * (z / (y * x)),u). K(x * y,T(z,u)) != w | K(x * (y * K(u,x * y)),z) = w. K(((x * y) \ z) * (y * K(z,((x * y) \ z) * y)),u) = K(y * (z / (y * x)),u). K(x,y * ((z \ a(u,w,u)) * v5)) != v6 | K(x,y * (z \ v5)) = v6. K(x,y * (z \ (u \ w))) = K(x,y / ((w \ u) * z)). K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). K(x,(y \ (z * u)) / ((y \ z) * u)) != w | a(u,z,K(y,x)) = w. a(x,y,K(z,u)) = K(u,(z \ (y * x)) * (x \ (y \ z))). K(x,(y \ (z * u)) * (u \ (z \ y))) = a(u,z,K(y,x)). K(x,(y \ (z * u)) * (u \ (z \ y))) != w | a(u \ y,u,K(z,x)) = w. a(x \ y,x,K(z,u)) = a(x,z,K(y,u)). a(x \ y,x,K(z,u)) != w | a(z,y,K(u,x \ y)) = w. a(x,y,K(z,u \ y)) = a(u,x,K(y,z)). a(x,y,K(y \ z,u)) != w | a(u,z,K(x,y \ z)) = w. a(x,y,K(z \ u,z \ y)) = a(z,z \ y,K(u,x)). L(x,y,a(z,y,K(u,w))) != v5 | x = v5. x = L(x,y,a(z,y,K(u,w))). L(x,y,a(z,y,K(u,w))) = x. x != a(y,y \ z,K(u,w)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(u,y,K(x \ z,x \ y)). a(x,y,K(z \ u,z \ y)) = a(z,y,K(u,x)). a(x,y,K(z,u \ y)) != w | a(u,x,K(y,z)) = w. a(x,y,K(z,x \ u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = a(u,x,K(z,y)). a(x,y,K(z,u)) = a(x,z,K(u,y)). a(x,y,K(z,u)) = a(x,u,K(y,z)). a(x,y,K(z,u)) = a(z,T(u,w),K(x,y)). a(x,T(y,z),K(u,w)) = a(u,w,K(x,y)). a(x,y,K(z,u)) = a(u \ z,z,K(x,y)). a(x \ y,y,K(z,u)) = a(z,u,K(y,x)). a(x,y,K(z,u)) = a(x,z,K(z \ u,y)). a(x,y,K(y \ z,u)) = a(x,u,K(y,z)). a(x,y,K(z,u)) = a(z,u,K(x,y)). x != a(y,z,K(u,w)) | a(z,u,K(w,y \ u)) = x. a(x,y,K(z,u \ y)) = a(x,z,K(y,u)). a(x \ 1,y,K(z,u)) != w | a(z,y,K(x,u)) = w. a(x,y,K(z,u)) = a(u,z \ 1,K(x,y)). a(x,y \ 1,K(z,u)) = a(z,u,K(y,x)). x * a(y,z,K(u,w)) = x * a(w,y,K(u,z)). x * a(y,z,K(x,u)) = T(x,a(z,u,y)). x * a(y,z,K(x,u)) != w | T(x,a(z,u,y)) = w. (T(x,y) * K(z,u)) * a(u,y,K(z,x)) = y \ ((x * y) * K(z,u)). x * a(y,x,K(z,u)) = T(x,a(y,u,z)). x * a(y,z,K(u,w)) = x * a(u,w,K(y,z)). K(x,y) * a(y,x,K(z,u)) = K(x,L(y,u,z)). K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,z)). a(x,y,K(z,u)) * K(u,y) = K(u,L(y,x,z)). a(x,T(y,z),K(u,w)) != v5 | a(u,w,K(x,y)) = v5. (x * y) * a(z,u,K(x,w)) = T(x,a(u,w,z)) * y. K(x,y) * a(y,x,K(z,u)) != w | K(x,L(y,u,z)) = w. a(x,y,K(K(z,u) * w,v5)) = a(x,v5,K(y,w)). a(x,y,K(z,u)) = a(x,z \ u,K(y,u)). a(x,y \ z,K(u,z)) = a(x,u,K(y,z)). a(x,y,K(z,L(u,w,v5))) = L(a(x,u,K(y,z)),w,v5). K(x,y) * a(y,z,K(u,x)) = K(x,L(y,u,z)). a(x,y,K(z,u)) * K(x,y) = K(x,L(y,z,u)). x != a(y,z,K(u,w)) | a(y,K(v5,v6) * z,K(u,w)) = x. a(x,K(y,z) * u,K(w,v5)) = a(w,v5,K(x,u)). (T(x,y) * K(z,u)) * a(z,u,K(y,x)) = y \ ((x * y) * K(z,u)). K(x,y) * a(x,z,a(u,y,K(w,v5))) = K(x,L(y,z,a(w,v5,u))). (K(x,y) * (T(z,u) * w)) * a(w,y,K(x,z)) = (T(T(z,K(y,x)),u) * K(x,y)) * w. K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,y) * a(x,z,a(u,y,K(w,v5))). a(x,y,K(z,u)) * (K(x,T(y,z)) * u) = (z * K(x,y)) * (z \ u). a(x,y,K(z,u)) * u = z * T(z \ u,a(x,z,y)). T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (a(x,y,K(z,u)) \ u). L(x,y,K(z,u)) = T(x,a(y,z,u)). T(x,a(y,z,u)) != w | L(x,y,K(z,u)) = w. L(x,y,K(z,u)) = L(x,u,K(y,z)). T(x,L(y,z,u)) = L(T(x,y),y,K(z,u)). L(T(x,y),y,K(z,u)) = T(x,L(y,z,u)). L(x,y,T(z,u)) = L(L(x,y,z),u,K(y,z)). L(L(x,y,z),u,K(y,z)) = L(x,y,T(z,u)). x != L(y,z,K(u,w)) | T(y,a(w,z,u)) = x. T(x,a(y,z,u)) = L(x,u,K(y,z)). L(x,y,K(z,u)) = T(x,a(z,u,y)). x != L(y,z,K(u \ 1,w)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,u \ 1,K(z,y)). L(x,y \ 1,K(z,u)) = L(x,u,K(z,y)). x != L(y,z,K(u * w,u)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = L(x,u * z,K(u,y)). L(x,y * z,K(y,u)) = L(x,u,K(z,y)). L(x * R(x \ 1,y,z),u,w) != v5 | a((y * z) \ (L(x,u,w) \ (y * z)),y,z) = v5. a((x * y) \ (L(z,u,K(w,v5)) \ (x * y)),x,y) = L(z * R(z \ 1,x,y),v5,K(u,w)). L(x * R(x \ 1,y,z),u,K(w,v5)) = a((y * z) \ (L(x,w,K(v5,u)) \ (y * z)),y,z). L(x,y,K(L(y,z,u) \ w,v5)) = L(x,v5,K(y,w)). L(x,a(y,z,u),K(w,v5)) = L(x,v5,a(y,z,K(u,w))). L(L(x,y,K(z,u)),u,y) = L(x,u,T(y,z)). x != T(y,a(z,u,w)) | T(y,a(w,u,z) \ 1) = x. T(x,a(y,z,u) \ 1) = L(x,y,K(u,z)). x != T(y,a(z,u,w)) | T(y,a(w,u,z) \ y) = x. T(x,a(y,z,u) \ x) = L(x,y,K(u,z)). x != T(y * z,a(z,u,w)) | z * T(y,z * a(z,u,w)) = x. x * T(y,x * a(x,z,u)) = L(y * x,u,K(x,z)). a(x,y,z) * L(u,z,K(x,y)) = u * a(x,y,z). a(x,y,z) * L(u,z,K(x,y)) != w | u * a(x,y,z) = w. a(x,y,K(z,u)) * (z * w) = L(z,u,K(x,y)) * w. a(x,y,z) * (L(u,z,K(x,y)) * x) = (u * a(x,y,z)) * x. a(x,y,K(z,u)) * (u * w) = L(u,x,K(z,y)) * w. L(x,y,K(z,u)) != w | L(x,u,K(y,z)) = w. (x * y) * a(x,z,K(u,w)) = L(x,u,K(w,z)) * y. (x * y) * a(z,u,K(w,x)) = L(x,z,K(w,u)) * y. a(x,y,K(z,u)) * (w * u) = w * L(u,x,K(z,y)). L(T(x,y \ (z \ u)),y \ (z \ u),K(y,z)) = T(x,(z * y) \ u). L(x * y,x \ 1,K(z,u)) = T(y * x,L(x \ 1,z,u)). L(x,y,T(z,L(x,u,w))) = L(x,y,L(z,x,K(u,w))). L(x,y,L(z,x,K(u,w))) = L(x,y,T(z,L(x,u,w))). L(x * (K(y,z) * u),x \ 1,K(z,y)) != w | L((K(z,y) / x) \ u,x,x \ 1) = w. L((K(x,y) / z) \ u,z,z \ 1) = L(z * (K(y,x) * u),y,K(x,z)). L(L(x,y,z \ (y \ z)),y * (z \ (y \ z)),K(y,z)) != u | L(x,y,z \ (z / y)) = u. L(x,y,z \ (z / y)) = L(L(x,y,z \ (y \ z)),z,K(z \ (y \ z),y)). L(L(x,y,z \ (y \ z)),z,K(z \ (y \ z),y)) = L(x,y,z \ (z / y)). x != L(y,z,K(u \ 1,u)) | y = x. x = T(x,a(y,z,z \ 1) \ 1). T(x,a(y,z,z \ 1) \ 1) = x. T(x \ y,x \ 1) != z | y / (1 \ x) = z. x / (1 \ a(y,z,u)) = L(a(y,z,u) \ x,y,K(u,z)). L(a(x,y,z) \ u,x,K(z,y)) = u / (1 \ a(x,y,z)). K(x,a(y,z,z \ 1) \ 1) = 1. 1 * K(x,T(y,z * (a(u,w,w \ 1) \ 1))) = z \ T(K(x,y) * z,a(u,w,w \ 1) \ 1). x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,x * (a(u,w,w \ 1) \ 1))). L(L(x,y,K(z,u)),w,v5) * a(y,u,z) = a(y,u,z) * L(x,w,v5). L(x,y \ z,K(y,u)) != w | L(x,u,K(z,y)) = w. L((x * y) \ z,u,K(y,x)) = L(y \ (x \ z),y,T(x,u)). x != L(y,z,T(u,w)) | y * T(y \ L(y,z,u),w) = x. x * T(x \ L(x,y,z),u) = L(L(x,z,K(u,y)),y,z). L(L(x,y,K(z,u)),u,y) = x * T(x \ L(x,u,y),z). T(x,a(y,z,u)) != w | L(x,u,K(y,z)) = w. K(x,y) * a(y,x,K(z,L(u,w,v5))) = K(x,L(y,u,L(z,w,v5))). K(x,y) * 1 = K(x,L(y,L(z,u,w),z)). K(x,L(y,L(z,u,w),z)) = K(x,y) * 1. K(x,L(y,L(z,u,w),z)) != v5 | K(x,y) = v5. T(x,y) * K(y,L(x,z,u)) = T(x * a(z,x,K(u,y)),K(x,y)). T(x * a(y,x,K(z,u)),K(x,u)) = T(x,u) * K(u,L(x,y,z)). x \ ((K(y,z) * (T(x,u) * w)) * a(y,z,K(x,w))) = (K(z,y) * x) \ (T(x,u) * w). K(x,y) * a(y,z,K(u,x)) != w | K(x,L(y,z,v5 \ (v5 / u))) = w. K(x,L(y,z,u \ (u / w))) = K(x,L(y,w,z)). x * (a(y,z \ u,K(x,u)) \ z) = T(x,y) * ((K(x,y) \ u) * (u \ z)). T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(y,u \ z,K(x,z)) \ u). K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). K(x,L(y,z,u \ w)) = K(x,L(y,w \ u,z)). K(x,L(y,z \ u,w)) = K(x,L(y,w,u \ z)). K(x,L(T(y,z) * u,y,w)) != v5 | K(x,(T(y,z) * w) * (w \ u)) = v5. K(x,(T(y,z) * (u \ 1)) * ((u \ 1) \ w)) = K(x,L(T(y,z) * w,u,y)). K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * ((w \ 1) \ u)). K(x,L(L(y,z,u),z,u \ 1)) != w | K(x,y) = w. K(x,y) = K(x,L(L(y,z,u),u,z)). K(x,L(L(y,z,u),u,z)) = K(x,y). T(x,L(y,z,u \ 1)) = x * K(x,L(y,u,z)). K(x,L(L((y * (z \ 1)) \ u,z,z \ 1),y,z \ 1)) = K(x,z * (y \ u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). T(x,L(y,z,u)) = T(x,L(y,u,z \ 1)). T(x,L(y,z,u \ 1)) = T(x,L(y,u,z)). T(x,L(y,z,u)) = T(x,L(y,u \ 1,z)). T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). x != T(y,L(z,u,w)) | T(y,L(z,w,u \ 1)) = x. T(x,L(y,z,u \ 1)) = T(x,L(y,z \ 1,u)). T(x,L(y,z \ 1,u)) = T(x,L(y,z,u \ 1)). T(x,y \ L(y,z,u)) = T(x,L(y \ L(y,z,u),y,w)). T(x,L(y \ L(y,z,u),y,w)) = T(x,y \ L(y,z,u)). T(x,L(y,z,(u \ 1) \ 1)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. (x * y) * a(z,u,K(x,y)) != w | T(x * y,a(u,y,z)) = w. L(x,y,K(z,u \ L(y,w,v5))) = L(x,z,K(y,u)). a(x,y,z) * (x * y) = (x * y) * a(x,y,z). x * (y * a(x,y,z)) = a(x,y,z) * (x * y). a(x,y,z) * (x * y) = x * (y * a(x,y,z)). x * y != y * z | T(z,y \ 1) = x. T(a(x,y,z),(x * y) \ 1) = a(x,y,z). (x * y) \ a(x,y,z) = a(x,y,z) / (x * y). a(x,y,z) / (x * y) = (x * y) \ a(x,y,z). L(x,y,K(z \ u,z)) != w | L(x,y,K(u,z)) = w. L(x,y,K(z \ u,u)) != w | L(x,y,K(u,z)) = w. L(x,y,K(z,z \ u)) != w | L(x,y,K(z,u)) = w. L(x,y,K(z,u \ y)) != w | L(x,z,K(y,u)) = w. L(x,y,K(y \ z,u)) != w | L(x,u,K(y,z)) = w. L(x,y,K(z \ u,w)) != v5 | L(x,y,K(w,u \ z)) = v5. L(x,y \ 1,K(z,u)) != w | L(x,u,K(z,y)) = w. a(x,y,K(z,L(u,w * v5,v6))) = L(a(x,u,K(y,z)),w * (v5 * K(v7,v8)),v6). L(a(x,y,K(z,u)),w * (v5 * K(v6,v7)),v8) = a(x,z,K(u,L(y,w * v5,v8))). T(x,a(y,z,u)) = y * T(y \ x,a(u,y,z)). x * T(x \ y,a(z,x,u)) = T(y,a(x,u,z)). x != L(y \ 1,z \ 1,u) | R(y,z,u \ 1) \ 1 = x. R(x,y,a(z,u,K(w,v5)) \ 1) \ 1 = L(x \ 1,a(z,u,w),K(v5,y \ 1)). L(x \ 1,a(y,z,u),K(w,v5 \ 1)) = R(x,v5,a(y,z,K(u,w)) \ 1) \ 1. R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L(x \ 1,v5,a(y,z,K(u,w))) \ 1. a(x,y,z) * L(u * x,z,K(x,y)) = L(u,x,a(x,y,z)) * (x * a(x,y,z)). L(x,y,a(y,z,u)) * (y * a(y,z,u)) = a(y,z,u) * L(x * y,u,K(y,z)). (L(x,y,K(z,u)) * (L(z,u,y) \ z)) \ ((L(z,u,y) \ z) * (x * z)) = z. (x * (y * a(z,u,w))) * a(z,u,K(w,y)) != v5 | x * (a(z,u,w) * y) = v5. x * (a(x,y,z) * u) = L(x,z,K(u,y)) * (u * a(x,y,z)). L(x,y,K(z,u)) * (z * a(x,u,y)) = x * (a(x,u,y) * z). (x * (y * a(x,z,u))) * a(u,z,K(y,x)) != w | L(a(x,z,u),y,x) * (x * y) = w. L(a(x,y,z),u,x) * (x * u) = L(x,z,K(u,y)) * (u * a(x,y,z)). x != L(y,z,T(u,L(y,w,v5))) | L(y,z,u) = x. L(x,y,z) = L(x,y,L(z,x,K(u,w))). L(x,y,L(z,x,K(u,w))) = L(x,y,z). L(x,y,L(z,u,K(x,w))) = L(x,y,z). L(a(x,y,z \ u) \ w,x,K(y,u \ z)) = w / (1 \ a(x,y,z \ u)). L(L(x,y,K(z,u)),u,y) != w | L(x,u,T(y,z)) = w. x \ (y * K(z,y \ L(y,u,w))) = (x \ y) * K(z,y \ L(y,u,w)). T(x,(y * z) \ (y * L(z,u,w))) = T(x,z \ L(z,u,w)). T(x,(y * z) \ (z * L(T(y,z),u,w))) = T(x,T(y,z) \ L(T(y,z),u,w)). L(x * y,z,K(u,x)) = T(y * x,L(x \ 1,u,z)). T(x * y,L(y \ 1,z,u)) = L(y * x,u,K(z,y)). T(x * y,L(y \ 1,z,u)) != w | T(x,L(y \ 1,z,u)) * y = w. T(x,L(y \ 1,z,u)) * y = L(y * x,u,K(z,y)). L(a(x,y,z),u,K(x,y * z)) = L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)). L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)) = L(a(x,y,z),u,K(x,y * z)). T(x,(y * z) \ (y * L(z,y,u))) != w | T(x,a(z,y,u)) = w. T(x,a(y,z,u)) = T(x,y \ L(y,z,u)). T(x,y \ L(y,z,u)) = T(x,a(y,z,u)). T(x,a(y,z,u)) * (L(y,z,u) \ y) = (L(y,z,u) \ y) * x. T(x * y,a(z,y,u)) = T(x,a(z,y,u)) * y. L(x,y,K(z,u)) * (L(z,u,y) \ z) = (L(z,u,y) \ z) * x. K(x,L(y,L(z,u,w),v5)) = K(x,L(y,z,L(v5,u,w))). T(x,L(y,L(z,u,w),v5)) = x * K(x,L(y,z,L(v5,u,w))). x * K(x,L(y,z,L(u,w,v5))) = T(x,L(y,L(z,w,v5),u)). K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. T(x,L(y,z,L(u,w,v5))) = T(x,L(y,L(z,w,v5),u)). T(x,L(y,L(z,u,w),v5)) = T(x,L(y,z,L(v5,u,w))). x != T(y,z) * K(z,u) | T(y * K(z,u),z) = x. T(x * K(y,L(x,z,u)),y) = T(x * a(z,x,K(u,y)),K(x,y)). T(x * a(y,x,K(z,u)),K(x,u)) = T(x * K(u,L(x,y,z)),u). T(x * a(y,x,K(z,u)),K(x,u)) = T(T(x,L(u \ x,y,z)),u). T(T(x,y),L(y \ x,z,u)) = T(x * a(z,x,K(u,y)),K(x,y)). T(x * a(y,x,K(z,u)),K(x,u)) = T(T(x,u),L(u \ x,y,z)). T(T(x,a(y,z,u)),K(x,z)) = T(T(x,z),L(z \ x,y,u)). T(x,a(y,z,u)) = T(T(x,z),L(z \ x,y,u)). T(T(x,y),L(y \ x,z,u)) = T(x,a(z,y,u)). T(x,a(y,z,u)) * (L(x,y,u) \ 1) = L(T(x,z),y,u) \ T(x,z). L(T(x,y),z,u) \ T(x,y) = T(x,a(z,y,u)) * (L(x,z,u) \ 1). (x * K(y,z)) * a(u,w,K(v5,v6)) != v7 | x * (a(u,w,K(v5,v6)) * K(y,z)) = v7. T(x,y) * (a(z,u,K(y,x)) * K(z,u)) = y \ ((x * y) * K(z,u)). a(x,y,K(z,u)) * (w * u) != v5 | w * L(u,x,K(z,y)) = v5. K(x,T(y,z)) * L(u,x,K(z,y)) = (z * K(x,y)) * (z \ u). T(x,y) * (z * ((K(x,y) * z) \ u)) = x * (u * a(u,y,K(z,x))). L(T(x,y \ (z \ u)),z,K(z \ u,y)) = T(x,(z * y) \ u). L(T(x,y \ (z \ u)),y,K(z,u)) = T(x,(z * y) \ u). L(T(x,(y \ 1) \ ((z * y) \ u)),y \ 1,K(z * y,u)) = T(x,L(z,y,y \ 1) \ u). L(T(x,(L(y,z,u) \ 1) \ (y \ w)),L(y,z,u) \ 1,K(y,w)) = T(x,(L(y,z,u) \ y) \ w). L(T(x,(y \ 1) \ (a(z,u,u \ 1) \ w)),y \ 1,K(a(z,u,u \ 1),w)) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). L(x,y,z) * a(x \ 1,u,w) = a(x \ 1,u,w) * L(x,y,z). (a(x \ 1,y,z) * L(x,u,w)) * (a(x \ 1,y,z) \ 1) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). x != T(y,z) * (L(y,u,w) \ 1) | L(y,u,w) \ T(y,z) = x. L(x,y,z) \ T(x,a(y,u,z)) = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ T(x,a(z,y,u)). T(x,y) \ (y \ ((x * y) * K(z,u))) = a(z,u,K(y,x)) * K(z,u). T(x,y) * (z * ((K(x,y) * z) \ u)) = x * L(u,y,K(z,x)). x * L(y,z,K(u,x)) != T(x,z) * w | u * ((K(x,z) * u) \ y) = w. T(x,y) * z != x * L(u,y,K(w,x)) | w * ((K(x,y) * w) \ u) = z. x != a(y,z,K(u,w)) * K(y,z) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = T(u,z) \ (z \ ((u * z) * K(x,y))). T(x,y) \ (y \ ((x * y) * K(z,u))) = K(z,L(u,y,x)). x != L(y,z,K(u,w)) * (u * a(y,w,z)) | y * (a(y,w,z) * u) = x. x * (a(x,y,z) * u) = L(a(x,y,z),u,x) * (x * u). L(a(x,y,z),u,x) * (x * u) = x * (a(x,y,z) * u). a(x,y,z) * (x * u) = x * (a(x,y,z) * u). ((x * a(x,y,z)) * u) / (x * (a(x,y,z) * u)) = a(a(x,y,z),x,u). x \ (y * a(z,u,K(y,w))) = (x \ y) * K(w,y \ L(y,u,z)). (x \ y) * K(z,y \ L(y,u,w)) = x \ (y * a(w,u,K(y,z))). a(x,a(x,y,z),u) = a(a(x,y,z),x,u). a(a(x,y,z),x,u) = a(x,a(x,y,z),u). L(L(x,y,z \ (y \ z)),z,K(y,(y \ z) \ z)) = L(x,y,z \ (z / y)). T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(y,x,K(u,z)) \ u). T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * (a(z,x,K(u,y)) * u). T(x,y) * ((K(x,y) \ z) * (z \ u)) = x * T(u,a(z,x,y)). T(x,y) * ((K(y,x) * z) * (z \ u)) = x * T(u,a(z,x,y)). T(x,y) * ((K(y,x) * z) * (z \ u)) = x * L(u,y,K(z,x)). x * ((K(y,z) * x) \ u) = (K(z,y) * x) * (x \ u). (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). x != K(y,z * ((u \ w) \ v5)) | K(y,z * ((w \ u) * v5)) = x. K(x,(T(y,z) * (u \ 1)) * ((1 \ u) * w)) = K(x,L(T(y,z) * w,u,y)). K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * ((1 \ w) * u)). T(x,L(y,z,u)) * L(y \ 1,z,u) = L(y \ 1,z,u) * x. x * (L(x \ 1,y,z) * u) = L(x \ 1,y,z) * (x * u). L(x \ 1,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). L(x \ 1,y,z) * u = x * (L(x \ 1,y,z) * (x \ u)). x * (L(x \ 1,y,z) * (x \ u)) = L(x \ 1,y,z) * u. (L(x \ 1,y,z) * u) / (x \ u) = (x \ u) \ (T(u,x) * L(x \ 1,y,z)). (x \ y) \ (T(y,x) * L(x \ 1,z,u)) = (L(x \ 1,z,u) * y) / (x \ y). ((L(x,y,z) \ x) * u) \ ((L(x,y,z) \ x) * (u * x)) = x. L(x,y,L(x,z,u) \ x) = x. L(x,y,L(L(x,z,u),w,v5) \ L(x,z,u)) = x. (L(x,y,z) \ x) * (u * T(x,(L(x,y,z) \ x) * u)) = x * ((L(x,y,z) \ x) * u). L(x,y,L(L(x,z,u) \ x,w,v5)) = x. L(x,y,a(z,u,x)) = x. L(x,y,a(z,u,L(x,w,v5))) = x. L(x,y,z) = L(L(x,y,z),u,a(w,v5,x)). L(L(x,y,z),u,a(w,v5,x)) = L(x,y,z). x * a(y,z,x) = (x \ 1) \ a(y,z,x). (x \ 1) \ a(y,z,x) = x * a(y,z,x). x * (y * a(z,y,x)) = (x * y) * a(z,y,x). (x * y) * a(z,y,x) = x * (y * a(z,y,x)). (a(x,y,z) * u) / L(z,w,v5) = a(x,y,z) * (u / L(z,w,v5)). x \ y != z * y | L(z \ 1,z,y) = x. L(x \ 1,x,a(y,z,x)) = x \ 1. L(x \ 1,x,a(y,z,x)) != u | a(y,z,x) \ (x \ a(y,z,x)) = u. a(x,y,z) \ (z \ a(x,y,z)) = z \ 1. a(x,y,z) * (z \ 1) != u | z \ a(x,y,z) = u. R(x,x,y) = x * a(x,x,y). x * a(x,x,y) = R(x,x,y). x * y = L(x,y,z) * (y * a(z,y,L(x,y,z))). L(x,y,z) * (y * a(z,y,L(x,y,z))) = x * y. (x * (y \ z)) * a(y,y \ z,x) != u | T(y \ (z * x),y \ z) = u. T(x \ (y * z),x \ y) = z * ((x \ y) * a(x,x \ y,z)). x * ((y \ z) * a(y,y \ z,x)) = T(y \ (z * x),y \ z). x * a(x,x,y) != z | a(x,x \ 1,y) \ x = z. a(x,x \ 1,y) \ x = R(x,x,y). R(x,x,y) \ 1 = x \ (a(x,x,y) \ 1). x \ (a(x,x,y) \ 1) = R(x,x,y) \ 1. a(x,x,y \ 1) \ x = R(x,x,y). a(x \ 1,x \ 1,y) \ x = R(x \ 1,x \ 1,y) \ 1. R(x \ 1,x \ 1,y) \ 1 = a(x \ 1,x \ 1,y) \ x. x \ (a(x,x,y) \ 1) != z | L(x \ 1,x,y) = z. L(x \ 1,x,y) = R(x,x,y) \ 1. x != R(y,z,u \ 1) \ 1 | L(y \ 1,z \ 1,u) = x. L(x \ 1,x \ 1,y) = L(x \ 1,x,y \ 1). L(x,y,z) * L(L(x,y,z) \ 1,L(x,y,z),u \ 1) = L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z). ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,L(z \ L(z,y,x),z,x * y))) = (z \ L(z,y,x)) * z. (L(x,x,y) \ 1) \ 1 = a(x \ 1,x \ 1,y \ 1) \ x. a(x \ 1,x \ 1,y \ 1) \ x = (L(x,x,y) \ 1) \ 1. L(x,x,y) = a(x \ 1,x \ 1,y \ 1) \ x. a(x \ 1,x \ 1,y \ 1) \ x = L(x,x,y). a(x,x,y \ 1) \ x = L(x,x,y). a(x,x,y \ 1) \ x != z | R(x,x,y) = z. R(x,x,y) = L(x,x,y). a(x,x,y) \ x = L(x,x,y \ 1). L(x,x,y \ 1) = a(x,x,y) \ x. a(x,x,y) \ x = L(x,x,y \ x). L(x,x,y \ x) = a(x,x,y) \ x. R(x,x,y) != z | x * a(x,x,y) = z. x * a(x,x,y) = L(x,x,y). L(L(x,x,y),z,u) \ (y * (x * L(x,z,u))) = x * T(y,x * L(x,z,u)). ((x * y) * L(y,y,x)) \ (((x * y) * y) * x) = L(x,y,y). L(x \ 1,x,y) = L(x,x,y) \ 1. x \ L(x,x,y) = a(x,x,y). x \ L(x,x,y) != z | a(x,x,y) = z. (L(x,x,y) * z) / a(x,a(x,x,y),z) = x * (a(x,x,y) * z). T(x \ L(x,x,y),z) = a(x,x,y). x != a(y,z,u) | a(y,z,K(w,K(v5,v6)) * u) = x. a(x,x,K(y,K(z,u)) * w) = x \ L(x,x,w). x * a(x,x,y) != z | L(x,x,y) = z. T(T((L(x,x,y) * z) / (x * z),u),x) = R(T(a(x,x,y),u),x,z). L(a(x,x,y),x,z) = z \ (L(x,x,y) * (x \ z)). x \ (L(y,y,z) * (y \ x)) = L(a(y,y,z),y,x). L(a(x,x,y),x,L(x,x,y) \ z) \ z = T((z / L(x,x,y)) * x,z). T(x * y,y \ a(x,x,z)) = T(x * y,L(x,x,z)). x != a(y,y,z) \ y | L(y,y,z \ 1) = x. L(x,x,y \ 1) = L(x,x,y \ x). L(x \ 1,x,y) * L(L(x,x,y),z,u) = L(x,x,y) \ L(L(x,x,y),z,u). L(x * L(x \ 1,x,y),L(x,x,y),y * x) = (y * (x * x)) \ ((y * x) * (x * 1)). L(x \ 1,x,y) \ (z \ 1) = (z / L(x,x,y)) \ 1. L(x,x,y \ 1) * z = L(x,x,y \ x) * z. a(x,x,K(y,K(z,u)) * w) != v5 | a(x,x,w) = v5. L(x,x,(T(x,y) / z) \ 1) * u = L(x,x,z * K(y,x)) * u. x != L(a(y,y,z),u,w) | a(y,y,L(z,u,w)) = x. a(x,x,L(y,x,z)) = z \ (L(x,x,y) * (x \ z)). x \ (L(y,y,z) * (y \ x)) = a(y,y,L(z,y,x)). a(x,x,K(y,T(z,u)) * w) != v5 | a(x,x,w * K(y,z)) = v5. x \ ((x / y) * L(y,y,z)) = a(y,y,L(z,y,x)). x != T(y,L(z,z,u)) | T(y,z) = x. T(x * y,x) = T(x * y,y \ a(x,x,z)). T(x * y,y \ a(x,x,z)) = T(x * y,x). x * y = T(y * x,x \ a(y,y,z)). T(x * y,y \ a(x,x,z)) = y * x. L((x / L(x,x,y)) \ 1,z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). (x * (y * y)) \ (((x * y) * y) * x) = L(x,y,y). R(x,y,y) = L(x,y,y). R(x,y,y) \ z = L(x,y,y) \ z. x != T((y * z) \ (y * u),w) | L(T(z \ u,w),z,y) = x. L(T(x \ y,(z * x) \ z),x,z) = y * (((z * x) \ z) * a(z * x,(z * x) \ z,y)). x * (((y * z) \ y) * a(y * z,(y * z) \ y,x)) = L(T(z \ x,(y * z) \ y),z,y). x * (a(x,x,y) * z) != (L(x,x,y) * z) / u | a(x,a(x,x,y),z) = u. (L(x,x,y) * z) / u != x * (a(x,x,y) * z) | a(x,a(x,x,y),z) = u. L(x,x,(y \ T(x,z)) \ 1) * u = L(x,x,y * K(z,x)) * u. T(T(x \ ((x / y) * L(y,y,z)),u),y) = R(T(a(y,y,z),u),y,x). T(T(a(x,x,L(y,x,z)),u),x) = R(T(a(x,x,y),u),x,z). T(a(x,x,L(y,x,z)),x) = R(T(a(x,x,y),u),x,z). a(x,x,L(y,x,L(x,x,y) \ z)) \ z = T((z / L(x,x,y)) * x,z). x != T((y / L(z,u,w)) * z,y) | z * (L(z,u,w) \ y) = x. x * (L(x,x,y) \ z) = a(x,x,L(y,x,L(x,x,y) \ z)) \ z. a(x,x,L(y,x,L(x,x,y) \ z)) \ z = x * (L(x,x,y) \ z). L(a(x,y,(z * y) \ u) \ w,x,K(y,u \ z)) = w / (1 \ a(x,y,(z * y) \ u)). L(L(x,y,z \ (y \ z)),z,K(y,T(y,z))) = L(x,y,z \ (z / y)). L(L(x,y,z \ (y \ z)),z,1) = L(x,y,z \ (z / y)). L(x,y,z \ (y \ z)) = L(x,y,z \ (z / y)). L(x,y,z \ (z / y)) = L(x,y,z \ (y \ z)). L(x,y,L(y \ 1,y,z)) = L(x,y,z \ (y \ z)). L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(y \ 1,y,z) \ L((z \ (z / y)) * x,y,y \ 1). K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) * (w \ 1)) * (w * u)). x != K(y,(z * (u \ 1)) * w) | K(y,(z / u) * w) = x. K(x,(T(y,z) / u) * (u * w)) = K(x,L(T(y,z) * w,u,y)). K(x,L(T(y,z) * u,w,y)) = K(x,(T(y,z) / w) * (w * u)). x != K(y,(T(z,u) / u) * w) | K(y,(u \ z) * w) = x. K(x,(y \ z) * (y * u)) = K(x,L(T(z,y) * u,y,z)). K(x,L(T(y,z) * u,z,y)) = K(x,(z \ y) * (z * u)). K(x,L(T(y,z) * u,y * z,y)) = K(x,((y * z) \ y) * ((y * z) * u)). K(x,((y * z) \ y) * ((y * z) * u)) = K(x,L(T(y,z) * u,y * z,y)). x != K(y,L(z,u * w,u)) | K(y,L(z,w,u)) = x. K(x,L(T(y,z) * u,z,y)) = K(x,((y * z) \ y) * ((y * z) * u)). K(x,((y * z) \ y) * ((y * z) * u)) = K(x,L(T(y,z) * u,z,y)). x != K(y,L(T(z,u) * w,u,z)) | K(y,(u \ z) * (u * w)) = x. K(x,(y \ z) * (y * u)) = K(x,((z * y) \ z) * ((z * y) * u)). K(x,((y * z) \ y) * ((y * z) * u)) = K(x,(z \ y) * (z * u)). K(x,((y * z) \ y) * u) != w | K(x,z \ u) = w. K(x,y \ ((z * y) * u)) = K(x,(y \ z) * (y * u)). K(x,y \ ((y * z) * (1 / u))) = K(x,(y \ z) * (y * (K(y,z) / u))). K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,y \ ((y * z) * (1 / u))). x != K(y,z \ (u * (1 / w))) | K(y,z \ (u / w)) = x. K(x,y \ ((y * z) / u)) = K(x,(y \ z) * (y * (K(y,z) / u))). K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,y \ ((y * z) / u)). x != K(y,z \ ((z * u) / w)) | K(y,(u / (z * w)) * z) = x. K(x,(y / (z * u)) * z) = K(x,(z \ y) * (z * (K(z,y) / u))). K(x,(y \ z) * (y * (K(y,z) / u))) = K(x,(z / (y * u)) * y). K(x,(y \ z) * (y * (u \ K(y,z)))) = K(x,(z / (y * u)) * y). K(x,(y \ z) * (T(y,z) / u)) = K(x,(z / (y * u)) * y). K(x,(y \ z) * (T(y,z) / u)) != w | K(x,(z / y) * (y / u)) = w. K(x,(y / z) * (z / u)) = K(x,(y / (z * u)) * z). K(x,(y / (z * u)) * z) = K(x,(y / z) * (z / u)). K(x,R(y * K(z,y),z,u) * z) = K(x,(((z * y) * u) / z) * (z / u)). K(x,y * R(z,y,u)) = K(x,(((y * z) * u) / y) * (y / u)). K(x,(((y * z) * u) / y) * (y / u)) = K(x,y * R(z,y,u)). K(x,L(y,z,u \ 1)) != w | K(x,L(y,u,z)) = w. K(x,L(L((y * (z \ 1)) \ u,z,z \ 1),z,y)) = K(x,z * (y \ u)). K(x,L(L(y,z,z \ 1),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(x,L((y * (z \ 1)) \ u,z,y)) = K(x,z * (y \ u)). K(x,L(((y \ 1) * L((y \ 1) \ 1,z,u)) \ w,y,L((y \ 1) \ 1,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). K(x,L((y * (z * (u * ((z * u) \ 1)))) \ w,a(z,u,(z * u) \ 1),y)) = K(x,a(z,u,(z * u) \ 1) * (y \ w)). x != a(y,z,K(u,L(w,y * v5,v6))) | a(y,z,K(u,L(w,v5,v6))) = x. a(x,y,K(z,L(u,w,v5))) = L(a(x,u,K(y,z)),x * (w * K(v6,v7)),v5). L(a(x,y,K(z,u)),x * (w * K(v5,v6)),v7) = a(x,z,K(u,L(y,w,v7))). a(x,y,K(z,L(u,x * (w * K(v5,v6)),v7))) = a(x,z,K(u,L(y,w,v7))). a(x,y,K(z,L(u,x * w,v5))) = a(x,z,K(u,L(y,w,v5))). a(x,y,K(z,L(u,x,w))) = a(x,z,K(u,L(y,z,w))). a(x,y,K(z,L(u,y,w))) = a(x,u,K(y,L(z,x,w))). a(x,y,K(z,L(u,y,w))) != v5 | a(x,u,K(y,z)) = v5. L(x,y,K(z,u \ 1)) != w | L(x,y,K(u,z)) = w. L(x \ 1,a(y,z,u),K(w,v5)) = R(x,w,a(y,z,K(u,v5)) \ 1) \ 1. R(x,y,a(z,u,K(w,v5)) \ 1) \ 1 = L(x \ 1,a(z,u,w),K(y,v5)). R(x,y,a(z,u,K(w,v5)) * 1) \ 1 = L(x \ 1,a(v5,u,w),K(y,z)). R(x,y,a(z,u,K(w,v5))) \ 1 = L(x \ 1,a(v5,u,w),K(y,z)). L(x \ 1,a(y,z,u),K(w,v5)) = R(x,w,a(v5,z,K(u,y))) \ 1. L(x \ 1,a(y,z,u),K(w,v5)) = L(x,w,a(v5,z,K(u,y))) \ 1. x != L(y,z,a(u,w,K(v5,v6))) \ 1 | L(y \ 1,a(v6,w,v5),K(z,u)) = x. L((x \ 1) \ 1,a(y,z,u),K(w,v5)) = R(x,a(v5,z,u) \ 1,K(y,w) \ 1). R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L((x \ 1) \ 1,a(w,z,u),K(v5,y)). T(x,(y * z) \ (L(y,u,w) * z)) = T(x,T(y,z) \ L(T(y,z),u,w)). T(x,T(y,z) \ L(T(y,z),u,w)) = T(x,(y * z) \ (L(y,u,w) * z)). T(x,y \ L(y,z,u)) != w | T(x,a(y,z,u)) = w. T(x,a(T(y,z),u,w)) = T(x,(y * z) \ (L(y,u,w) * z)). T(x,(y * z) \ (L(y,u,w) * z)) = T(x,a(T(y,z),u,w)). x != T(y,a(T(z,u),w,v5)) | T(y,a(z,w,v5)) = x. T(x,a(y,z,u)) = T(x,(y * w) \ (L(y,z,u) * w)). T(x,(y * z) \ (L(y,u,w) * z)) = T(x,a(y,u,w)). (x \ y) \ (T(y,x) * z) != u | (y / x) \ (y * z) = u. (x / y) \ (x * L(y \ 1,z,u)) = (L(y \ 1,z,u) * x) / (y \ x). (L(x \ 1,y,z) * u) / (x \ u) = (u / x) \ (u * L(x \ 1,y,z)). T(x * y,L(y,z,u)) = y * T(x,y * L(y,z,u)). x * T(y,x * L(x,z,u)) = T(y * x,L(x,z,u)). L(x \ 1,x,y) * L(L(x,x,y),z,u) != w | L(L(x,z,u) \ x,x,y) \ 1 = w. R(x,a(y,z,u) \ 1,K(w,v5) \ 1) = L(x,a(w,z,u),K(v5,y)). R(x,a(y,z,u) \ 1,K(w,v5)) = L(x,a(v5,z,u),K(w,y)). L(x,a(y,z,u) \ 1,K(w,v5)) = L(x,a(v5,z,u),K(w,y)). L(x,y,K(z,a(u,w,v5))) = L(x,a(y,w,v5),K(z,u)). L(x,a(y,z,u),K(w,v5)) = L(x,y,K(w,a(v5,z,u))). L(x,a(y,z,u),K(w,v5)) = L(x,y,a(w,z,K(u,v5))). x != a(y,z,u) * L(w,u,K(y,z)) | w * a(y,z,u) = x. (x * y) * a(y,z,u) = L(x,y,a(y,z,u)) * (y * a(y,z,u)). L(x,y,a(y,z,u)) * (y * a(y,z,u)) = (x * y) * a(y,z,u). x \ ((x * y) * a(y,z,u)) = L(x,y,a(y,z,u)) * (x \ (y * a(y,z,u))). L(x,y,a(y,z,u)) * (x \ (y * a(y,z,u))) = x \ ((x * y) * a(y,z,u)). (x * (y * a(y,z,u))) / ((x * y) * a(y,z,u)) = ((y * a(y,z,u)) * L(x,y,a(y,z,u))) \ ((y * a(y,z,u)) * x). ((x * a(x,y,z)) * L(u,x,a(x,y,z))) \ ((x * a(x,y,z)) * u) = (u * (x * a(x,y,z))) / ((u * x) * a(x,y,z)). L(x,y,z) * (x \ (y * z)) != u | (z * (T(y,z) * x)) / x = u. (a(x,y,z) * (T(x,a(x,y,z)) * u)) / u = u \ ((u * x) * a(x,y,z)). (a(x,y,z) * (x * u)) / u = u \ ((u * x) * a(x,y,z)). K(((x * y) \ z) * (y * K(z,z * ((x * y) \ y))),u) = K(y * (z / (y * x)),u). L((L(x,x,y) \ x) \ 1,z,u) \ 1 = L(x \ 1,z,u) \ L(y \ (y / x),z,u). K(((x * y) \ z) * (y * K(z,z / T(x,y))),u) = K(y * (z / (y * x)),u). K(((x * y) \ z) * (y * K(z,T(x,y) \ z)),u) = K(y * (z / (y * x)),u). K(((x * y) \ z) * (y * K(z,T(x \ z,y))),u) = K(y * (z / (y * x)),u). K(((x * y) \ z) * (K(z,x \ z) * y),u) = K(y * (z / (y * x)),u). K(x * (K(y,z \ y) * u),w) != v5 | K(K(z,y) * (x * u),w) = v5. K(K(x,y) * (((x * z) \ y) * z),u) = K(z * (y / (z * x)),u). K(K(x,y) * ((z \ y) * u),w) != v5 | K((z \ T(y,x)) * u,w) = v5. K(((x * y) \ T(z,x)) * y,u) = K(y * (z / (y * x)),u). K((x \ T(y * z,y)) * u,w) != v5 | K((x \ (z * y)) * u,w) = v5. K(((x * y) \ (z * x)) * y,u) = K(y * ((x * z) / (y * x)),u). x / (K(y * ((z * u) / (y * z)),w) * x) = K(w,((z * y) \ (u * z)) * y). K(x,y * ((z * u) / (y * z))) = K(x,((z * y) \ (u * z)) * y). K(x,((y * z) \ (u * y)) * z) = K(x,z * ((y * u) / (z * y))). K(x,((y * z) \ (y * u)) * z) = K(x,z * ((y * T(u,y)) / (z * y))). K(x,y * ((z * T(u,z)) / (y * z))) = K(x,((z * y) \ (z * u)) * y). K(x,y * ((z * u) / (y * u))) = K(x,((u * y) \ (u * z)) * y). K(x,((y * z) \ (y * u)) * z) = K(x,z * ((u * y) / (z * y))). (K(x,y) * z) * a(u,w,K(v5,v6)) != v7 | K(x,y) * (z * a(u,w,K(v5,v6))) = v7. K(x,y) * ((T(z,u) * w) * a(w,y,K(x,z))) = (T(T(z,K(y,x)),u) * K(x,y)) * w. x != K(y,z) * a(y,u,a(w,z,K(v5,v6))) | K(y,L(z,u,a(v5,v6,w))) = x. K(x,L(y,z,a(u,w,v5))) = K(x,L(y,z,((v5 * u) * (u \ w)) / (v5 * w))). K(x,L(y,z,((u * w) * (w \ v5)) / (u * v5))) = K(x,L(y,z,a(w,v5,u))). K(x,L(y,z,a(u,w,w \ v5))) = K(x,L(y,z,a(w,v5,u))). x \ (K(y,z) * ((T(x,u) * w) * a(y,z,K(x,w)))) = (K(z,y) * x) \ (T(x,u) * w). (L(x,y,z) \ x) * (u * T(x,L(x,y,z) \ u)) = x * ((L(x,y,z) \ x) * u). (L(x,y,z) \ x) * (u * T(x,u)) = x * ((L(x,y,z) \ x) * u). (L(x,y,z) \ x) * (x * u) = x * ((L(x,y,z) \ x) * u). R(x,y,L(x,z,u) \ x) = (x * (x * ((L(x,z,u) \ x) * y))) / (L(L(x,z,u) \ x,y,x) * (x * y)). (x * (x * ((L(x,y,z) \ x) * u))) / (L(L(x,y,z) \ x,u,x) * (x * u)) = R(x,u,L(x,y,z) \ x). a(x,x,L(y \ 1,L(x,x,y),y * x)) = (y * (x * x)) \ ((y * x) * (x * 1)). a(x,x,y \ 1) = (y * (x * x)) \ ((y * x) * (x * 1)). (x * (y * y)) \ ((x * y) * (y * 1)) = a(y,y,x \ 1). (x * (y * y)) \ ((x * y) * y) = a(y,y,x \ 1). a(x,y,y) = a(y,y,x \ 1). a(x,x,y \ 1) = a(y,x,x). a(x,x,y \ 1) != z | a(y,x,x) = z. a(x,x,y \ x) = a(y,x,x). a(x,x,y \ 1) = a(y,x \ 1,x \ 1). a(x,y \ 1,y \ 1) = a(y,y,x \ 1). a(x,x,((x * y) \ z) \ 1) = a((y * x) \ z,x,x). a(x,x,y) = a(y \ x,x,x). a(x \ y,y,y) = a(y,y,x). a(x,x \ 1,y) = a(y,x,x). a(x,x,y \ 1) != z | a(y \ T(x,u),T(x,u),x \ (x / y)) = z. a(x \ T(y,z),T(y,z),y \ (y / x)) = a(x,y,y). a(x,x,R(y,z,u) \ 1) != w | a(x,x,R(y \ 1,z,u)) = w. a(x,x,R(y \ 1,z,u)) = a(R(y,z,u),x,x). a(x,x,((y * x) \ z) \ 1) != u | a(x,x,L((y \ z) \ 1,x,y)) = u. a(x,x,L((y \ z) \ 1,x,y)) = a((y * x) \ z,x,x). a(x,x,L(y,z,u) \ 1) != w | a(x,x,L(y \ 1,z,u)) = w. a(x,x,L(y \ 1,z,u)) = a(L(y,z,u),x,x). a(x,x,y \ 1) != z | L(y,x,x \ 1) \ y = z. L(x,y,y \ 1) \ x = a(x,y,y). a(x,x,y \ 1) != z | x * L(x \ 1,x,y) = z. x * L(x \ 1,x,y) = a(y,x,x). a(x,x,y \ 1) != z | y * (x * ((y * x) \ 1)) = z. x * (y * ((x * y) \ 1)) = a(x,y,y). a(x,x,y \ 1) != z | a(x,x,y) \ 1 = z. a(x,x,y) \ 1 = a(y,x,x). a(x,y,(z \ 1) \ 1) != u | a(x,y,z) = u. a(x,x,y) = a(y \ 1,x,x). a(x \ 1,y,y) = a(y,y,x). x \ a(y,x,x) = L(x \ 1,x,y). L(x \ 1,x,y) = x \ a(y,x,x). (x \ y) \ a(y,x,x) = (y \ 1) * x. (x \ ((x \ 1) \ y)) \ a(y,x,x) = y \ 1. (x \ 1) * a(y,z,z) = (a(z,z,y) * x) \ 1. (a(x,x,y) * z) \ 1 = (z \ 1) * a(y,x,x). a(x,x,L(y \ 1,z,u)) = L(a(y,x,x),z,u). a(x,y,y) \ y = L(y,y,x). a(x,x,L(T(y,z),u,w) \ x) != v5 | a(x,x,L(y \ 1,u,w)) = v5. a(x,x,L(y \ 1,z,u)) = a(L(T(y,w),z,u),x,x). a(L(T(x,y),z,u),w,w) = a(w,w,L(x \ 1,z,u)). x * a(y,x,x) = L(x,x,y \ x). L(x,x,y \ x) = x * a(y,x,x). T(a(x,x,L(y \ x,x,z)),x) = R(T(a(y,x,x),u),x,z). T(x,L(y,z,a(u,u,w))) = T(x,y). a(x,y,y) \ 1 = a(y,y,x). a(x,y,y) != z \ 1 | a(y,y,x) = z. a(x,y,y) \ 1 != z | a(y,y,x) = z. K(x,a(y,z,z) \ u) != w | K(x,a(z,z,y) * u) = w. (a(x,y,y) * z) \ 1 = (z \ 1) * a(y,y,x). (x * a(y,z,z)) \ 1 = a(z,z,y) * (x \ 1). L(a(x,x,y),z \ 1,u \ 1) = R(a(y,x,x),z,u) \ 1. L(a(x,x,y),z,u) \ 1 = a(L(y,z,u),x,x). R(a(x,x,y),z,u) \ 1 = a(R(y,z,u),x,x). (a(x,x,y) * (L(a(y,x,x),z,u) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). a(a(x \ 1,y \ 1,z \ 1),u,u) = a(u,u,(z * y) \ ((z * (y * x)) / x)). a(x,x,(y * z) \ ((y * (z * u)) / u)) = a(a(u \ 1,z \ 1,y \ 1),x,x). x \ y != L(y,z,u) | L(y,z,u) \ y = x. L(x,x,y) \ x = a(y,x,x). L(L(T(x,y),T(x,y),z),a(z,T(x,y),T(x,y)),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). L(x,x,y) * a(y,x,x) = x. T(x,L(x,x,y) \ z) = T(x,a(y,x,x) * z). a(x,x,y) != z \ 1 | a(y,x,x) = z. L(T(a(x,x,y),z),u,w) * (a(y,x,x) * v5) = a(y,x,x) * (L(T(a(y,x,x) \ 1,z),u,w) * v5). a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = L(T(a(y,y,x),z),u,w) * (a(x,y,y) * v5). (a(x,y,y) \ z) * (a(x,y,y) * R(a(y,y,x),u,w)) = z * R(z \ (a(x,y,y) \ z),u,w). L(R(a(x,x,y),z,u) * a(y,x,x),w,v5) = a((z * u) \ (L(a(y,x,x),w,v5) \ (z * u)),z,u). L(x,y,z) * (L(a(u,x,x),y,z) \ 1) = L(L(x,y,z),x,u). L(a(x,y,y) \ 1,z,u) \ 1 = L(y \ 1,z,u) \ L(x \ (x / y),z,u). L(x \ 1,y,z) \ L(u \ (u / x),y,z) = L(a(u,x,x) \ 1,y,z) \ 1. T(x * y,L(T(L(x,x,z),a(z,x,x) * y),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). L(x,y,y \ 1) * ((L(x,y,y \ 1) \ L(L(x,y,y \ 1),y,y)) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). x * L(x \ 1,x,y) = a(L(x,z,u) \ y,x,x). a(L(x,y,z) \ u,x,x) = x * L(x \ 1,x,u). x * L(x \ 1,x,y) != z | a(y,x,x) = z. (x \ a(y,x,x)) \ y = x * y. R(x,a(y,x,x),z) = (L(x,x,y \ x) * z) / (a(y,x,x) * z). (L(x,x,y \ x) * z) / (a(y,x,x) * z) = R(x,a(y,x,x),z). L(x,x,y \ x) * L(z,a(y,x,x),x) = x * (a(y,x,x) * z). T(x,(a(y,y,z) * u) \ w) = T(x,u \ (a(y,y,z) \ w)). a(x,x,K(y,z) * u) != w | a(u \ K(z,y),x,x) = w. a(x,x,y \ L(y,z \ 1,u \ 1)) != w | a(y * R(y \ 1,z,u),x,x) = w. a(x,x \ 1,y) != z | a(y,x,x) = z. a(x,x,L(y \ 1,z,u)) != w | a(L(y,z,u),x,x) = w. a(x,x,y \ x) != z | a(y,x,x) = z. a((x * y) \ (a(z,u,u) \ (x * y)),x,y) = (z * (u * ((z * u) \ 1))) * R(a(z,u,(z * u) \ 1),x,y). (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = (x * a(z,z,L(y,u,w))) * a(y,z,z). (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * L(a(y,z,z),u,w)) * a(y,z,(y * z) \ 1). T((x * a(y,z,z)) * L(a(y,z,(y * z) \ 1),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). a(x,y,y) \ (z \ z) != u | a(y,y,x) = u. x != a(y,y,z \ 1) | a(z,y,y) = x. a(x,y,y) = a(x,y \ 1,y \ 1). a(x,y \ 1,y \ 1) = a(x,y,y). a(x,y \ 1,y \ 1) != z | a(x,y,y) = z. L(x,y,y) \ a(x,y,y) = x \ 1. x \ L(x,y,y) = a(x,y,y). x * L(x \ 1,y,y) = a(x \ 1,y,y). x * a(x,y,y) = L(x,y,y). x / L(T(a(y,z,z),u),y,L(y,z,T(z,u)) \ x) = (x / L(y,z,T(z,u))) * y. (x * a(y,z,z)) \ (x * L(y,z,z)) = L(T(y,a(y,z,z)),a(y,z,z),x). L(T(x,a(x,y,y)),a(x,y,y),z) = (z * a(x,y,y)) \ (z * L(x,y,y)). L(x \ 1,y,y) \ K(z,u) = ((a(x \ 1,y,y) \ 1) * x) * K(z,u). ((a(x \ 1,y,y) \ 1) * x) * K(z,u) = L(x \ 1,y,y) \ K(z,u). x != a(y \ 1,z,z) | a(z,z,y) = x. a(x,x,y) = y * L(y \ 1,x,x). x * L(x \ 1,y,y) = a(y,y,x). (x \ L(x,y,z)) * L(L(x,y,z) \ x,u,u) = a(u,u,x \ L(x,y,z)). a(x,x,R(y,z \ 1,u)) != w | a(x,x,L(y,z,u \ 1)) = w. a(x,x,L(y \ 1,z,u \ 1)) = a(R(y,z \ 1,u),x,x). a(x,x,R(K(y,z) / u,w,v5)) = a(R(u * K(z,y),w,v5),x,x). a(R(x * K(y,z),u,w),v5,v5) = a(v5,v5,R(K(z,y) / x,u,w)). a(x,x,L(y \ 1,z,u)) != w | a(x,x,L(y \ x,z,u)) = w. a(x,x,L(y \ x,z,u)) = a(L(y,z,u),x,x). a(x,x,L(y,z,u)) = a(L(y \ 1,z,u),x,x). a(L(x \ 1,y,z),u,u) = a(u,u,L(x,y,z)). a(x,x,L(y * K(z,u),w,v5)) = a(L(K(u,z) / y,w,v5),x,x). a(L(K(x,y) / z,u,w),v5,v5) = a(v5,v5,L(z * K(y,x),u,w)). (1 \ (a(x,x,y) * z)) * K(u,(z \ 1) * a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). a(L(x,y,z),u,u) = L(a(x,u,u),y,z). x != L(a(y,z,z),u,w) | (w * (a(y,z,z) * u)) / (w * u) = x. (x * (a(y,z,z) * u)) / (x * u) = a(L(y,u,x),z,z). (x * y) * a(L(z,y,x),u,u) = x * (y * a(z,u,u)). (x * y) * a(L(z,y,x),u,u) != w | x * (y * a(z,u,u)) = w. (x * y) * a(L(z,x,y),u,u) != w | y * (T(x,y) * a(z,u,u)) = w. a(L(x,y,z),u,u) * (w * a(u,u,x)) = a(u,u,x) * ((L(a(u,u,x),y,z) \ 1) * w). a(x,x,y) * ((L(a(x,x,y),z,u) \ 1) * w) = a(L(y,z,u),x,x) * (w * a(x,x,y)). T(x,y) = T(x,a(z,x,x) * y). T(x,a(y,x,x) * z) = T(x,z). a(L(x * K(y,z),u,w),v5,v5) != v6 | a(v5,v5,L(x \ K(z,y),u,w)) = v6. a(L(x,y,L(y,y,x \ y) \ z),y,y) \ z = y * (L(y,y,x \ y) \ z). x != y * L(y \ 1,y,z) | a(z,y,y) = x. a(x,y,y) = a(L(y,z,u) \ x,y,y). a(L(x,y,z) \ u,x,x) = a(u,x,x). a(L(x,y,z) \ u,x,x) != w | a(u,x,x) = w. a((x * y) \ z,y,y) != u | a((y * x) \ z,y,y) = u. a(T(x,y),T(x,y),T(x,y) / z) = a(z,x,x). a(T(x,y),T(x,y),z \ T(x,y)) = a(z,x,x). a(x,T(y,z),T(y,z)) = a(x,y,y). a(L(x \ y,z,x),z,z) = a((x * z) \ y,z,z). a(x,x,L(y,z,u)) != w | a(L(y \ 1,z,u),x,x) = w. L(a(x,y,y),z,u) != w | a(L(x,z,u),y,y) = w. a(L(T(x,y),z,u),w,w) != v5 | a(L(x,z,u),w,w) = v5. (a(L(x,y,z),u,u) * z) * y = z * (R(a(x,u,u),z,y) * y). x * (y * a(z,u,u)) != (x * y) * w | a(L(z,y,x),u,u) = w. (x * y) * z != x * (y * a(u,w,w)) | a(L(u,y,x),w,w) = z. a(L(x / y,z,u),w,w) != v5 | a(L(y \ x,z,u),w,w) = v5. T(a(L(x,y,z),y,y),y) = R(T(a(x,y,y),u),y,z). R(a(x,y,y),y,z) = a(L(x,y,z),y,y). a(L(x,y,z),y,y) = R(a(x,y,y),y,z). a(x,x,L(y,z \ 1,u \ 1)) = R(a(y,x,x),z,u) \ 1. T(x,(y * a(z,z,u)) \ w) = T(x,y \ (a(z,z,u) \ w)). a(R(x,y \ 1,z),u,u) != w | a(L(x,y,z \ 1),u,u) = w. a(x,x,L(y,z \ 1,u \ 1)) != w | a(x,x,R(y,z,u)) = w. a(x,x,R(y,z,u)) = R(a(y,x,x),z,u) \ 1. R(a(x,y,y),z,u) \ 1 = a(y,y,R(x,z,u)). x \ 1 != a(y,y,z) | a(z,y,y) = x. a(R(x,y,z),u,u) = R(a(x,u,u),y,z). (x * y) * a(R(z,y,x),u,u) = (y * a(z,u,u)) * T(x,y). (x * y) * a(R(z,x,y),u,u) = (x * a(z,u,u)) * y. K(x,(y * a(z,z,u)) \ w) = x \ T(x,y \ (a(z,z,u) \ w)). x \ T(x,y \ (a(z,z,u) \ w)) = K(x,(y * a(z,z,u)) \ w). L(x,y,z) * (a(L(u,y,z),x,x) \ 1) = L(L(x,y,z),x,u). L(x,y,z) * a(x,x,L(u,y,z)) = L(L(x,y,z),x,u). x != a(y,y,R(z / u,w,v5)) | a(y,y,R(u \ z,w,v5)) = x. a(x,x,R(y \ K(z,u),w,v5)) = a(R(y * K(u,z),w,v5),x,x). a(R(x * K(y,z),u,w),v5,v5) = a(v5,v5,R(x \ K(z,y),u,w)). a(L(K(x,y * z) / z,y,x),u,u) = a(u,u,(x * y) \ ((y * z) * x)). a(x,x,L(y * K(z,u),w,v5)) != v6 | a(L(y \ K(u,z),w,v5),x,x) = v6. K(x,(y * a(z,z,u)) \ w) != v5 | K(x,y \ (a(z,z,u) \ w)) = v5. ((a(x,x,y) \ 1) * y) * K(z,u) = L(y \ 1,x,x) \ K(z,u). (a(x,y,y) * x) * K(z,u) = L(x \ 1,y,y) \ K(z,u). L(x \ 1,y,y) \ K(z,u) = (a(x,y,y) * x) * K(z,u). L(x \ 1,y,y) \ K(z,u) = (x * a(x,y,y)) * K(z,u). L(x \ 1,y,y) \ K(z,u) = L(x,y,y) * K(z,u). L(x,y,y) \ 1 = L(x \ 1,y,y). L(x \ 1,y,y) = L(x,y,y) \ 1. x != L(y,z,z) \ u | R(y,z,z) \ u = x. R(x,y,y) \ 1 = L(x \ 1,y,y). L(x \ 1,y,y) = R(x,y,y) \ 1. (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = L((x \ L(x,y,z)) \ 1,u,u) * (x \ L(x,y,z)). L(x \ 1,y,y) \ a(y,y,x) = x. L(x,a(x,y,y),z) = (z * a(x,y,y)) \ (z * L(x,y,y)). (x * a(y,z,z)) \ (x * L(y,z,z)) = L(y,a(y,z,z),x). L(L(x,y,z) \ x,u,u) * (x \ L(x,y,z)) = a(u,u,x \ L(x,y,z)). a(L(x \ K(y,x * z),z,y),u,u) = a(u,u,(y * z) \ ((z * x) * y)). L(x \ 1,y,z) \ L(u \ (u / x),y,z) = L(a(x,x,u),y,z) \ 1. x != L(a(y,y,z),u,w) \ 1 | a(L(z,u,w),y,y) = x. a(L(x,y,z),u,u) = L(u \ 1,y,z) \ L(x \ (x / u),y,z). L(x \ 1,y,z) \ L(u \ (u / x),y,z) = a(L(u,y,z),x,x). L(x \ 1,y,z) \ L(u \ (u / x),y,z) != w | a(x,L(x \ 1,y,z),u) = w. a(x,L(x \ 1,y,z),u) = a(L(u,y,z),x,x). a(x \ 1,L(x,y,z),u) = a(L(u,y,z),x \ 1,x \ 1). a(L(x,y,z),u \ 1,u \ 1) = a(u \ 1,L(u,y,z),x). a(L(x,y,z),u,u) = a(u \ 1,L(u,y,z),x). a(x \ 1,L(x,y,z),u) = a(L(u,y,z),x,x). a(x \ 1,L(x,y,z),u) != w | a(L(u,y,z),x,x) = w. a(x \ 1,L(x,y,z),u) != w | a(L(x,y,z),x \ 1,u) = w. a(L(x,y,z),x \ 1,u) = a(L(u,y,z),x,x). x / L(a(y,z,z),y,L(y,z,T(z,u)) \ x) = (x / L(y,z,T(z,u))) * y. x / L(a(y,z,z),y,L(y,z,z) \ x) = (x / L(y,z,T(z,u))) * y. x / a(L(y,y,L(y,z,z) \ x),z,z) = (x / L(y,z,T(z,u))) * y. a(L(x,x,L(x,y,y) \ z),y,y) \ z = (z / L(x,y,T(y,u))) * x. a(L(x,x,L(x,y,y) \ z),y,y) \ z = (z / L(x,y,y)) * x. x != (y / L(z,u,u)) * z | z * (L(z,u,u) \ y) = x. x * (L(x,y,y) \ z) = a(L(x,x,L(x,y,y) \ z),y,y) \ z. a(L(x,x,L(x,y,y) \ z),y,y) \ z = x * (L(x,y,y) \ z). L(a(x,y,(x * y) \ z) \ u,y,K(x,z)) = u / (1 \ a(x,y,(x * y) \ z)). L(a(x,y,(x * y) \ z) \ u,y,K(x,z)) = u / a(x,y,(x * y) \ z). L(a(x / L(y,z,u),y,L(y,z,u)) \ w,y,K(x / L(y,z,u),x * y)) = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). L(a(x * y,z,a(z,x,y)) \ u,z,K(x * y,T((z * x) * y,z))) = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). K(x,y) * (T(z,u) * T(w,a(z,y,x))) = (T(T(z,K(y,x)),u) * K(x,y)) * w. K(x,y) * (T(z,u) * T(w,a(z,y,x))) = (K(x,y) * T(z,u)) * w. x \ (K(y,z) * (T(x,u) * T(w,a(x,z,y)))) = (K(z,y) * x) \ (T(x,u) * w). x \ ((K(y,z) * T(x,u)) * w) = (K(z,y) * x) \ (T(x,u) * w). (K(x,y) * z) \ (T(z,u) * w) = z \ ((K(y,x) * T(z,u)) * w). (K(x,y) * z) \ (T(z,K(y,x)) * u) != w | L(K(y,x) * u,K(x,y),K(x,y) * z) = w. L(K(x,y) * z,K(y,x),K(y,x) * u) = u \ ((K(x,y) * T(u,K(x,y))) * z). L(K(x,y) * z,K(y,x),K(y,x) * u) = u \ ((u * K(x,y)) * z). (a(x,x,y) * z) * K(u,(z \ 1) * a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). (a(x,x,y) * z) * K(u,z \ a(y,x,x)) = T(1 \ (a(x,x,y) * z),u). (a(x,x,y) * z) * K(u,w) != v5 | a(x,x,y) * (z * K(u,w)) = v5. a(x,x,y) * (z * K(u,z \ a(y,x,x))) = T(1 \ (a(x,x,y) * z),u). a(x,x,y) * (z * K(u,z \ a(y,x,x))) = T(a(x,x,y) * z,u). (x * K(y,x \ a(z,u,u))) * a(u,u,z) = T(a(u,u,z) * x,y). L(x * R(x \ 1,y,z),u,K(w,v5)) = a(L((y * z) \ (x \ (y * z)),w,K(v5,u)),y,z). L(T(x,y * ((z * y) \ u)),y \ 1,K(z * y,u)) = T(x,L(z,y,y \ 1) \ u). L(T(x,y * ((z * y) \ u)),u,K(z * y,y)) = T(x,L(z,y,y \ 1) \ u). L(T(x,y * ((z * y) \ u)),u,K(z,y)) = T(x,L(z,y,y \ 1) \ u). L(T(x,y * (((y \ z) * y) \ u)),u,K(y \ z,y)) = T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u). x * ((y \ (y / z)) * a(y * z,(y * z) \ y,x)) = L(T(z \ x,(y * z) \ y),z,y). a(x,x,y) * (a(L(y,z,u),x,x) * w) = a(L(y,z,u),x,x) * (w * a(x,x,y)). a(L(x,y,z),u,u) * (w * a(u,u,x)) = a(u,u,x) * (a(L(x,y,z),u,u) * w). x * ((y \ (y / z)) * a(y * z,y \ (y / z),x)) = L(T(z \ x,(y * z) \ y),z,y). x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(T(z \ x,(y * z) \ y),z,y). x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(T(z \ x,z \ 1),z,y). x * ((y \ (y / z)) * a(y * z,y \ (z \ y),x)) = L(x / z,z,y). K(x,(L(y,z,u) \ w) * y) != v5 | K(x,y * (w / L(y,z,u))) = v5. K(x,y * (L(y \ L(y,z,u),y,w) / L(y,z,u))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,x / a(u,w,w \ 1))). x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = 1 * K(y,T(z,a(u,w,w \ 1) \ x)). K(x,T(y,a(z,u,u \ 1) \ w)) = w \ T(K(x,y) * w,a(z,u,u \ 1) \ 1). x \ T(K(y,z) * x,a(u,w,w \ 1) \ 1) = K(y,T(z,a(u,w,w \ 1) \ x)). x \ (K(y,z) * x) = K(y,T(z,a(u,w,w \ 1) \ x)). K(x,T(y,a(z,u,u \ 1) \ w)) = w \ (K(x,y) * w). T(K(x,y),z) = K(x,T(y,a(u,w,w \ 1) \ z)). K(x,T(y,a(z,u,u \ 1) \ w)) = T(K(x,y),w). K(x,T(y,z)) = K(x,T(y,a(u,w,w \ 1) \ z)). K(x,T(y,a(z,u,u \ 1) \ w)) = K(x,T(y,w)). K(x,T(y,z * a(u,w,w \ 1))) = K(x,T(y,z)). K(x,T(y,(z \ u) * a(z,w,w \ 1))) != v5 | K(x,T(y,u * R(z,w,w \ 1))) = v5. K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,u \ z)). x != K(y,T(z,u \ w)) | K(y,T(z,w * u)) = x. K(x,T(y,z * u)) = K(x,T(y,z * R(u,w,w \ 1))). K(x,T(y,z * R(u,w,w \ 1))) = K(x,T(y,z * u)). K(x,T(y,z * R(u,w,w \ 1))) != v5 | K(x,T(y,w * ((u * w) \ z))) = v5. K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * u)). K(x * K(y \ (z \ x),z),T(u,z * ((y * z) \ x))) != w | K(((y * z) \ x) * (z * y),u) = w. K(((x * y) \ z) * (y * x),u) = K(z * K(x \ (y \ z),y),T(u,z * x)). K(x * K(y \ (z \ x),z),T(u,x * y)) = K(((y * z) \ x) * (z * y),u). K(x * K(y \ (z \ x),z),T(u,y)) = K(((y * z) \ x) * (z * y),u). K(x * K(y \ (z \ u),z),w) != v5 | K(x * K(y \ u,z),w) = v5. K(x * K(y \ x,z),T(u,y)) = K(((y * z) \ x) * (z * y),u). K(((x * y) \ z) * (y * x),u) = K(z * K(x \ z,y),T(u,x)). x != K(y * K(z \ y,u),T(w,z)) | K(z * T(y / z,u),w) = x. K(x * T(y / x,z),u) = K(((x * z) \ y) * (z * x),u). K(((x * y) \ z) * (y * x),u) = K(x * T(z / x,y),u). K(((x * y) \ z) * (y * x),u) != w | K(z * K(y,x),T(u,x * y)) = w. K(x * K(y,z),T(u,z * y)) = K(z * T(x / z,y),u). K((x * y) * K(z,y),T(u,y * z)) = K(y * T(x,z),u). K((x * y) * K(z,y),u) != w | K(x * T(y,z),u) = w. K(x * T(y,z),T(u,y * z)) = K(y * T(x,z),u). K(x * T(y,z),T(u,y * z)) != w | K(y * T(x,z \ 1),u) = w. K(x * T(y,z \ 1),u) = K(x * T(y,z),u). K((x * y) * T(z,y),T(u,x)) != w | K(z * (y * x),u) = w. K(x * ((y \ 1) * z),u) = K((z * (y \ 1)) * T(x,y),T(u,z)). K((x * (y \ 1)) * T(z,y),T(u,x)) = K(z * ((y \ 1) * x),u). x != K(L(y,z,u) * (z * u),w) | K((y * z) * u,w) = x. K((x * (y \ 1)) * z,u) = K((z * (y \ 1)) * T(L(x,y \ 1,z),y),T(u,z)). K((x * (y \ 1)) * T(L(z,y \ 1,x),y),T(u,x)) = K((z * (y \ 1)) * x,u). K(x * ((y \ 1) * T(z,y)),T(u,x)) = K((z * (y \ 1)) * x,u). K(((x \ 1) * T(y,x)) * z,u) = K((y * (x \ 1)) * z,u). x / (K((y * (z \ 1)) * u,w) * x) = K(w,((z \ 1) * T(y,z)) * u). K(x,((y \ 1) * T(z,y)) * u) = w / (K((z * (y \ 1)) * u,x) * w). K(x,(y * (z \ 1)) * u) = K(x,((z \ 1) * T(y,z)) * u). K(x,((y \ 1) * T(z,y)) * u) = K(x,(z * (y \ 1)) * u). K(x,(T(y \ 1,z) * T(u,y * K(z,y \ 1))) * w) = K(x,(u * ((y * K(z,y \ 1)) \ 1)) * w). L(T(x,L(y,z,u) * (y \ w)),L(y,z,u) \ 1,K(y,w)) = T(x,(L(y,z,u) \ y) \ w). L(T(x,L(y,z,u) * (y \ w)),w,K(y,L(y,z,u))) = T(x,(L(y,z,u) \ y) \ w). L(T(x,L(y,z,u) * (y \ w)),w,1) = T(x,(L(y,z,u) \ y) \ w). T(x,L(y,z,u) * (y \ w)) = T(x,(L(y,z,u) \ y) \ w). T(x,(L(y,z,u) \ y) \ w) = T(x,L(y,z,u) * (y \ w)). T(x,(L(y,z,u) \ y) \ w) != v5 | T(x,(y \ L(y,z,u)) * w) = v5. T(x,(y \ L(y,z,u)) * w) = T(x,L(y,z,u) * (y \ w)). L(L(T(x,y),x,z),a(z,T(x,y),T(x,y)),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). L(L(T(x,y),x,z),a(z,x,x),y) = (y * a(z,T(x,y),T(x,y))) \ (x * y). L(L(T(x,y),x,z),a(z,x,x),y) = (y * a(z,x,x)) \ (x * y). (a(x,y,y) \ z) * (a(x,y,y) * a(y,y,R(x,u,w))) = z * R(z \ (a(x,y,y) \ z),u,w). K(x,y * (L(y,z,u) \ L(L(y,z,u) / y,y,w))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). K(x,y * (L(y,z,u) \ L(y \ L(y,z,u),y,w))) = a(w,y,K(L(y \ L(y,z,u),y,w),x)). x != K(y,(z \ 1) \ u) | K(y,z * u) = x. K(x,a(y \ 1,z,u) * w) = K(x,(((u \ 1) * ((z \ 1) * y)) \ (((z * u) \ 1) * y)) * w). K(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) * w) = K(x,a(u \ 1,z,y) * w). K(x,a(y \ 1,z \ 1,u) * w) = K(x,a(u \ 1,z,y) * w). K(x \ 1,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,a((z \ 1) \ 1,u,w) * y). K(x \ 1,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,a(z,u,w) * y). L(T(x,y * (T(z,y) \ u)),u,K(y \ z,y)) = T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u). L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u). T(x,(((y \ 1) * y) \ ((y \ 1) * z)) \ u) = L(T(x,y * (T(z,y) \ u)),u,K(z,y)). T(x,(1 \ ((y \ 1) * z)) \ u) = L(T(x,y * (T(z,y) \ u)),u,K(z,y)). L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,(1 \ ((y \ 1) * z)) \ u). L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,((y \ 1) * z) \ u). x != T(y,((z \ 1) * u) \ w) | T(y,((u \ 1) * z) * w) = x. T(x,((y \ 1) * z) * u) = L(T(x,z * (T(y,z) \ u)),u,K(y,z)). L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,((z \ 1) * y) * u). a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = L(a(y,y,x),u,w) * (a(x,y,y) * v5). a(x,y,y) * (L(T(a(x,y,y) \ 1,z),u,w) * v5) = a(y,y,L(x,u,w)) * (a(x,y,y) * v5). a(x,y,y) * (L(T(a(y,y,x),z),u,w) * v5) = a(y,y,L(x,u,w)) * (a(x,y,y) * v5). a(x,y,y) * (L(a(y,y,x),z,u) * w) = a(y,y,L(x,z,u)) * (a(x,y,y) * w). a(x,x,L(y,z,u)) * (a(y,x,x) * w) = a(y,x,x) * (L(a(x,x,y),z,u) * w). a(x,x,L(y,z,u)) * (a(y,x,x) * w) = a(y,x,x) * (a(x,x,L(y,z,u)) * w). x * (a(y,z,z) * u) != w | x * (u * a(y,z,z)) = w. a(x,x,L(y,z,u)) * (w * a(y,x,x)) = a(y,x,x) * (a(x,x,L(y,z,u)) * w). K(x,(T(y \ 1,z) * T(u,K(y,z) * y)) * w) = K(x,(u * ((y * K(z,y \ 1)) \ 1)) * w). K(x,(y * T(z,K(u,w) * v5)) * v6) != v7 | K(x,(y * T(z,v5)) * v6) = v7. K(x,(T(y \ 1,z) * T(u,y)) * w) = K(x,(u * ((y * K(z,y \ 1)) \ 1)) * w). K(x,(y * ((z * K(u,z \ 1)) \ 1)) * w) = K(x,(T(z \ 1,u) * T(y,z)) * w). K(x,(y * T(z \ 1,u)) * w) = K(x,(T(z \ 1,u) * T(y,z)) * w). K(x,(T(y \ 1,z) * T(u,y)) * w) = K(x,(u * T(y \ 1,z)) * w). K(x,(T(y \ 1,z) * T(u,y)) / w) = K(x,(u * T(y \ 1,z)) * (K(v5,v6) * (w \ K(v6,v6 * v5)))). x != K(y,z * (K(u,w) * (v5 \ K(w,w * u)))) | K(y,z / v5) = x. K(x,(y * T(z \ 1,u)) / w) = K(x,(T(z \ 1,u) * T(y,z)) / w). K(x,(T(y \ 1,z) * T(u,y)) / w) = K(x,(u * T(y \ 1,z)) / w). K(x,(T(y \ 1,z) * T(u * w,y)) / (w * T(y \ 1,z))) = K(x,R(u,w,T(y \ 1,z))). K(x,(T(y,z) * u) / (w * T(y,z))) != v5 | K(x,(y * u) / (w * y)) = v5. K(x,((y \ 1) * T(z * u,y)) / (u * (y \ 1))) = K(x,R(z,u,T(y \ 1,w))). K(x,R(y,z,T(u \ 1,w))) = K(x,((u \ 1) * T(y * z,u)) / (z * (u \ 1))). x != K(y,((z \ 1) * u) / (w * (z \ 1))) | K(y,(z \ u) / (w / z)) = x. K(x,(y \ T(z * u,y)) / (u / y)) = K(x,R(z,u,T(y \ 1,w))). K(x,R(y,z,T(u \ 1,w))) = K(x,(u \ T(y * z,u)) / (z / u)). x != K(y,(z \ T(u,z)) / w) | K(y,(u / z) / w) = x. K(x,((y * z) / u) / (z / u)) = K(x,R(y,z,T(u \ 1,w))). K(x,R(y,z,T(u \ 1,w))) = K(x,((y * z) / u) / (z / u)). K(x,R(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,z,u \ 1)) = K(x,((y * z) / u) / (z / u)). K(x,((y * z) / u) / (z / u)) = K(x,L(y,z,u \ 1)). K(x,((y * z) / u) * (u / z)) = K(x,L(y,z,u \ 1)). x != K(y,L(z,u,w \ 1)) | K(y,L(z,w,u)) = x. K(x,L(y,z,u)) = K(x,((y * u) / z) * (z / u)). K(x,((y * z) / u) * (u / z)) = K(x,L(y,u,z)). K(x,(((y * z) * u) / y) * (y / u)) != w | K(x,y * R(z,y,u)) = w. K(x,y * R(z,y,u)) = K(x,L(y * z,y,u)). K(x,L(y * z,y,u)) = K(x,y * R(z,y,u)). K(x,L(y * (z / y),y,u)) = K(x,y * ((z * u) / (y * u))). K(x,L(y * (z / y),u,w)) != v5 | K(x,L(T(z,y),u,w)) = v5. K(x,L(T(y,z),z,u)) = K(x,z * ((y * u) / (z * u))). K(x,y * ((z * u) / (y * u))) = K(x,L(T(z,y),y,u)). K(x,y * ((z * u) / (y * u))) != w | K(x,((u * y) \ (u * z)) * y) = w. K(x,((y * z) \ (y * u)) * z) = K(x,L(T(u,z),z,y)). a(x \ 1,L(y,z,u),L(y,z,u)) = L(y * L(y \ 1,L(y,z,u) \ 1,x),z,u). L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z) = a(u \ 1,L(x,y,z),L(x,y,z)). a(L(x,y,z),L(x,y,z),u) = L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z). L(x * L(x \ 1,L(x,y,z) \ 1,u),y,z) = a(L(x,y,z),L(x,y,z),u). (x * (x * ((L(x,y,z) \ x) * u))) / ((L(x,y,z) \ x) * (x * u)) = R(x,u,L(x,y,z) \ x). (x * (x * ((L(x,y,z) \ x) * u))) / (x * ((L(x,y,z) \ x) * u)) = R(x,u,L(x,y,z) \ x). x = R(x,y,L(x,z,u) \ x). R(x,y,L(x,z,u) \ x) = x. R(x,y,L(L(x,z,u),w,v5) \ L(x,z,u)) = x. R(x,y,L(L(x,z,u) \ x,w,v5)) = x. R(x,y,a(z,u,x)) = x. x * (y * a(z,u,x)) = (x * y) * a(z,u,x). (x * y) * a(z,u,x) = x * (y * a(z,u,x)). x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x). a(L(x,y,z),z,z) = a(x,z,z). L(a(x,y,z),u,z) = a(x,y,z). T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = K(a(x,y,z),u) * (z * (w * a(x,y,z))). L(x * K(y * x,a(z,u,y)),y,a(z,u,y)) = (a(z,u,y) * y) \ (y * (x * a(z,u,y))). a(L(x \ y,z,x),u,x) != w | a(z \ (x * (z * ((x * z) \ (z * y)))),u,x) = w. a(x \ (y * (x * ((y * x) \ (x * z)))),y,y) = a(y \ z,y,y). a((x * y) \ (x * z),x,x) = a(y \ z,x,x). (a(x,y,y) * y) * z = y * (R(a(x,y,y),y,z) * z). x * (R(a(y,x,x),x,z) * z) = (a(y,x,x) * x) * z. a(x,y,K(z,u)) * (u * a(x,y,z)) = L(a(x,y,z),w,z) * u. L(a(x,y,z),u,z) * w = a(x,y,K(z,w)) * (w * a(x,y,z)). a((x \ y) * a(z,u,x),w,x) = a(y * a(z,u,x),w,x). x * (R(a(y,x,x),x,z) * z) = (x * a(y,x,x)) * z. x * (R(a(y,x,x),x,z) * z) = L(x,x,y \ x) * z. x * (a(L(y,x,z),x,x) * z) = L(x,x,y \ x) * z. x != a(y \ z,u,y) | a(z,u,y) = x. a(x,y,y) = a(z \ (y * (z * ((y * z) \ (z * x)))),y,y). a(x \ (y * (x * ((y * x) \ (x * z)))),y,y) = a(z,y,y). a((x \ 1) \ ((y \ 1) * ((x \ 1) * (((x * y) \ 1) \ ((x \ 1) * z)))),y \ 1,y \ 1) = a(z,y \ 1,y \ 1). L(a(x,y,z),u,z) * (z * w) = a(x,y,K(z,w)) * ((z * w) * a(x,y,z)). L(a(x,y,z),u,z) * (z * w) = a(x,y,K(z,w)) * (z * (w * a(x,y,z))). x != a(y,z,K(u,w)) * (u * v5) | L(u,w,K(y,z)) * v5 = x. L(x,y,K(z,u)) * (y * a(z,u,x)) = L(a(z,u,x),w,x) * (x * y). L(a(x,y,z),u,z) * (z * w) = L(z,w,K(x,y)) * (w * a(x,y,z)). T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = a(x,y,K(z,u)) * (z * (w * a(x,y,z))). L(x,y,K(z,u)) * (w * a(z,u,x)) = T(T(a(z,u,x),y) * (x * w),a(z,u,x)). T(T(a(x,y,z),u) * (z * w),a(x,y,z)) = L(z,u,K(x,y)) * (w * a(x,y,z)). L(x * a(y * x,z,K(y,u)),y,a(u,z,y)) = (a(u,z,y) * y) \ (y * (x * a(u,z,y))). L(x * 1,y,a(z,y,y)) = (a(z,y,y) * y) \ (y * (x * a(z,y,y))). (a(x,y,y) * y) \ (y * (z * a(x,y,y))) = L(z * 1,y,a(x,y,y)). (a(x,y,y) * y) \ (y * (z * a(x,y,y))) = L(z,y,a(x,y,y)). (x * a(y,x,x)) \ (x * (z * a(y,x,x))) = L(z,x,a(y,x,x)). L(T(x,a(y,z,z)),a(y,z,z),z) = L(x,z,a(y,z,z)). L(x,a(y,z,z),z) = L(x,z,a(y,z,z)). L(x,a(y,z,z),z \ 1) = L(x,z \ 1,a(y,z \ 1,z \ 1)). L(x,y \ 1,a(z,y \ 1,y \ 1)) = L(x,a(z,y,y),y \ 1). L(x,x,y \ x) * L(z,x,a(y,x,x)) = x * (a(y,x,x) * z). L(x,y \ 1,a(z,y,y)) = L(x,a(z,y,y),y \ 1). L(x,a(y,z,z),z \ 1) = L(x,z \ 1,a(y,z,z)). x * (a(y,x,x) * z) != L(x,x,y \ x) * u | L(z,x,a(y,x,x)) = u. L(x,x,y \ x) * z != x * (a(y,x,x) * u) | L(u,x,a(y,x,x)) = z. (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = L(L(x,y,z) \ x,u,u) * (x \ L(x,y,z)). x != L(L(y,z,u) \ y,w,w) * (y \ L(y,z,u)) | a(w,w,y \ L(y,z,u)) = x. a(x,x,y \ L(y,z,u)) = (L(y \ L(y,z,u),x,x) * (L(y,z,u) \ y)) \ 1. (L(x \ L(x,y,z),u,u) * (L(x,y,z) \ x)) \ 1 = a(u,u,x \ L(x,y,z)). ((L(x,y,z) \ x) * L(x \ L(x,y,z),u,u)) \ 1 = a(u,u,x \ L(x,y,z)). (x * (L(x,y,z) \ L(x \ L(x,y,z),u,u))) \ 1 = a(u,u,x \ L(x,y,z)). x != L(y \ 1,z,u) \ L(w,y,y \ 1) | L(L(y \ 1,z,u) \ w,y,y \ 1) = x. L(L(x \ 1,x,y) \ ((y \ (y / x)) * z),x,x \ 1) = L(L(z,x,y \ (x \ y)),x * (y \ (y / x)),x \ 1). L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(L(y \ 1,y,z) \ ((z \ (z / y)) * x),y,y \ 1). T(x * y,L(L(T(x,a(z,x,x) * y),x,z),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). L(x,y,y \ 1) * ((L(x,y,y \ 1) \ x) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). L(x,y,y \ 1) * (a(x,y,y) * z) = a(x,y,y) * (L(x,y,y \ 1) * z). a((x \ 1) \ ((y \ 1) * (((((z \ 1) * x) / (x * y)) * x) \ 1)),y \ 1,y \ 1) = a(z,y \ 1,y \ 1). a((x \ 1) \ ((((((y \ 1) * x) / (x * z)) * x) * z) \ 1),z \ 1,z \ 1) = a(y,z \ 1,z \ 1). a(((((((x \ 1) * y) / (y * z)) * y) * z) / y) \ 1,z \ 1,z \ 1) = a(x,z \ 1,z \ 1). a(((((((x \ 1) * y) / (y * z)) * y) * z) / y) \ 1,z,z) = a(x,z \ 1,z \ 1). a(x \ 1,y,y) != z | a(y,y,x) = z. a(x,x,(((((y \ 1) * z) / (z * x)) * z) * x) / z) = a(y,x \ 1,x \ 1). a(x,x,y \ (((((z \ 1) * y) / (y * x)) * y) * x)) = a(z,x \ 1,x \ 1). a(x,x,y \ (z * x)) != u | a(x,x,y \ z) = u. a(x,x,y \ ((((z \ 1) * y) / (y * x)) * y)) = a(z,x \ 1,x \ 1). a(x,x,T(((y \ 1) * z) / (z * x),z)) = a(y,x \ 1,x \ 1). a(x,x,((y \ 1) * z) / (z * x)) = a(y,x \ 1,x \ 1). a(x,x,(y * x) \ ((z \ 1) * y)) = a(z,x \ 1,x \ 1). a(x,x,(y * x) \ z) != u | a(x,x,y \ (x \ z)) = u. a(x,x,y \ (x \ ((z \ 1) * y))) = a(z,x \ 1,x \ 1). a(x,x,y \ (x \ (z * y))) != u | a(x,x,L(z,x,y)) = u. a(x,x,L(y \ 1,x,z)) = a(y,x \ 1,x \ 1). a(L(x,y,z),y,y) = a(x,y \ 1,y \ 1). x != a(y,z \ 1,z \ 1) | a(y,z,z) = x. a(x,y,y) = a(L(x,y,z),y,y). a(L(x,y,z),y,y) = a(x,y,y). a(L(x \ y,z,x),z,z) != u | a((x * z) \ y,z,z) = u. a((x * y) \ z,y,y) = a(x \ z,y,y). a(L(L(x,y,z),u,w),y,y) = a(L(x,u,w),y,y). a(x,y,y) \ z = y * (L(y,y,x \ y) \ z). x * (L(x,x,y \ x) \ z) = a(y,x,x) \ z. x * (a(y,x,x) * z) = L(x,x,y \ x) * z. L(x,x,y \ x) * z = x * (a(y,x,x) * z). a((x * y) \ z,x,x) = a(y \ z,x,x). a((x * y) \ (x * z),x,x) != u | a(y \ z,x,x) = u. a(x \ y,z,z) = a(x \ (z * y),z,z). a(x \ (y * z),y,y) = a(x \ z,y,y). L(x,y,a(z,y,y)) = x. L(x,x,y \ x) * z != u | L(x,x,y \ 1) * z = u. L(x,x,y \ 1) * z = x * (a(y,x,x) * z). (x * (a(y,x,x) * z)) / (a(y,x,x) * z) = R(x,a(y,x,x),z). L(x,y \ 1,a(z,y,y)) = x. L(x,x,y \ 1) * (x \ z) = a(y,x,x) * z. x = R(x,a(y,x,x),z). R(x,a(y,x,x),z) = x. R(x \ 1,a(y,x,x),z) = x \ 1. L(x,a(y,x,x) \ 1,z) = x. L(x,a(x,x,y),z) = x. L(x,a(y,x,x),z) = x. a(x,x \ 1,y) = a(L(y,a(z,x,x),u),x,x). a(L(x,a(y,z,z),u),z,z) = a(z,z \ 1,x). x != a(y,y \ 1,z) | a(z,y,y) = x. a(x,y,y) = a(L(x,a(z,y,y),u),y,y). a(L(x,a(y,z,z),u),z,z) = a(x,z,z). a(L(x,a(y,z,z),u),z,z) != w | a(x,z,z) = w. a(L(x,a(y,y,z),u),y,y) = a(x,y,y). a(x,y,y) \ 1 = a(y,y,L(x,a(y,y,z),u)). a(x,x,L(y,a(x,x,z),u)) = a(y,x,x) \ 1. (x * a(y,y,z)) * a(u,y,y) = x * (a(y,y,z) * a(u,y,y)). a(x,x,L(y,a(x,x,z),u)) != w | a(x,x,y) = w. (x * a(y,y,L(z,u,w))) * a(z,y,y) != v5 | (x * (a(z,y,(z * y) \ 1) \ 1)) * L(a(z,y,(z * y) \ 1),u,w) = v5. (x * (a(y,z,(y * z) \ 1) \ 1)) * L(a(y,z,(y * z) \ 1),u,w) = x * (a(z,z,L(y,u,w)) * a(y,z,z)). L(L(x,y,z \ (y \ z)),y * (z \ (z / y)),y \ 1) = L(x,y,y \ 1). L(L(x,y,z \ (y \ z)),a(y,y,z \ 1),y \ 1) = L(x,y,y \ 1). L(L(x,y,z \ (y \ z)),a(z,y,y),y \ 1) = L(x,y,y \ 1). L(x,a(y,z,z),z \ 1) != u | L(x,z \ 1,a(y,z,z)) = u. L(L(x,y,z \ (y \ z)),y \ 1,a(z,y,y)) = L(x,y,y \ 1). L(x,y \ 1,a(z,y,y)) != u | x = u. L(x,y,z \ (y \ z)) = L(x,y,y \ 1). L(x,y,z \ (y \ z)) != u | L(x,y,L(y \ 1,y,z)) = u. L(x,y,L(y \ 1,y,z)) = L(x,y,y \ 1). T(x * y,L(L(T(x,y),x,z),a(z,x,x),y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). T(x * y,(y * a(z,x,x)) \ (x * y)) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). T(x * y,(y * a(z,x,x)) \ 1) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,(z * a(x,y,y)) \ 1). (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,a(y,y,x) * (z \ 1)). x != T(y,z * (u \ 1)) | T(y,z / u) = x. T(x * y,a(x,x,z) / y) = (a(z,x,x) * y) * R(L(x,x,z),a(z,x,x),y). (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,a(y,y,x) / z). (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = T(y * z,z \ a(y,y,x)). x != T(y * z,z \ a(y,y,u)) | z * y = x. x * y = (a(z,y,y) * x) * R(L(y,y,z),a(z,y,y),x). (a(x,y,y) * z) * R(L(y,y,x),a(x,y,y),z) = z * y. (a(x,y,y) * z) * L(R(y,a(x,y,y),z),y,x) = z * y. (x * y) / L(R(y,a(z,y,y),x),y,z) = a(z,y,y) * x. (x * y) / L(y,y,z) = a(z,y,y) * x. (x / L(y,y,z)) * y = a(z,y,y) * x. T(x * (a(y,y,L(z,u,w)) * a(z,y,y)),x) = (a(z,y,(z * y) \ 1) \ 1) * (L(a(z,y,(z * y) \ 1),u,w) * x). a(x \ 1,y,z) * (L(x,u,w) * (a(x \ 1,y,z) \ 1)) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). K(x,L((y * a(z,z \ 1,u)) \ w,a(u,z,(u * z) \ 1),y)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). K(x,L((y * a(z,z \ 1,u)) \ w,a(u,z,z \ 1),y)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). x * (L(y,z,u) * (x \ 1)) != w | L(x * (y * (x \ 1)),z,u) = w. L(a(x \ 1,y,z) * (x * (a(x \ 1,y,z) \ 1)),u,w) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). L(a(x \ 1,y,z) * (a(x \ 1,y,z) \ x),u,w) = L(L(x,u,w),a(x \ 1,y,z),a(x \ 1,y,z) \ 1). L(L(x,y,z),a(x \ 1,u,w),a(x \ 1,u,w) \ 1) = L(a(x \ 1,u,w) * (a(x \ 1,u,w) \ x),y,z). L(L(x,y,z),a(x \ 1,u,w),a(x \ 1,u,w) \ 1) = L(x,y,z). a(x \ 1,y,z) \ L(x,u,w) = (a(x \ 1,y,z) \ 1) * L(x,u,w). (a(x \ 1,y,z) \ 1) * L(x,u,w) = a(x \ 1,y,z) \ L(x,u,w). L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,K(a(z,u,u \ 1),w)) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,a(z,u,K(u \ 1,w))) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). L(T(x,y * (a(z,u,u \ 1) \ w)),y \ 1,1) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). T(x,y * (a(z,u,u \ 1) \ w)) = T(x,((y * a(u,u \ 1,z)) \ 1) \ w). T(x,((y * a(z,z \ 1,u)) \ 1) \ w) = T(x,y * (a(u,z,z \ 1) \ w)). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. T(x,(y * a(z,z \ 1,u)) * w) = T(x,y * (a(u,z,z \ 1) \ w)). T(x,((y * (y \ 1)) * z) * u) = T(x,(y * ((y \ 1) * z)) * (a(z,y,y \ 1) \ u)). T(x,(y * ((y \ 1) * z)) * (a(z,y,y \ 1) \ u)) = T(x,((y * (y \ 1)) * z) * u). T(x,(y * ((y \ 1) * z)) * (a(z,y,y \ 1) \ u)) = T(x,z * u). T(x,L(y,z,z \ 1) * (a(y,z,z \ 1) \ u)) = T(x,y * u). T(x,L(y,z,z \ 1) * (a(z,z,y) \ u)) = T(x,y * u). K(x,L((y \ L(y,z,u)) \ w,y,L((y \ 1) \ 1,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). K(x,L((y \ L(y,z,u)) \ w,y,L(y,z,u))) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). K(x,(y \ L(y,z,u)) \ w) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). K(x,y * (L((y \ 1) \ 1,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). x != K(y,(z \ u) \ w) | K(y,(u \ z) * w) = x. K(x,(L(y,z,u) \ y) * w) = K(x,y * (L((y \ 1) \ 1,z,u) \ w)). K(x,y * (L((y \ 1) \ 1,z,u) \ w)) = K(x,(L(y,z,u) \ y) * w). K(x,y * (L(y,z,u) \ w)) = K(x,(L(y,z,u) \ y) * w). K(x,(L(y,z,u) \ y) * w) = K(x,y * (L(y,z,u) \ w)). x != (y * (z * u)) / ((y * z) * u) | (y * z) \ ((y * (z * u)) / u) = x. (x * y) \ ((x * (y * a(y,z,u))) / a(y,z,u)) = ((y * a(y,z,u)) * L(x,y,a(y,z,u))) \ ((y * a(y,z,u)) * x). ((x * a(x,y,z)) * L(u,x,a(x,y,z))) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). (a(x,x,L(y,z,u)) * a(y,x,x)) * w = (a(y,x,(y * x) \ 1) \ 1) * (L(a(y,x,(y * x) \ 1),z,u) * w). (a(x,y,(x * y) \ 1) \ 1) * (L(a(x,y,(x * y) \ 1),z,u) * w) = (a(y,y,L(x,z,u)) * a(x,y,y)) * w. (a(x,y,(x * y) \ 1) \ 1) * (L(a(x,y,(x * y) \ 1),z,u) * w) != T(v5,w) | w * (a(y,y,L(x,z,u)) * a(x,y,y)) = v5. T(x,y) != (a(z,u,(z * u) \ 1) \ 1) * (L(a(z,u,(z * u) \ 1),w,v5) * y) | y * (a(u,u,L(z,w,v5)) * a(z,u,u)) = x. (a(x,x,y) \ 1) * (L(a(y,x,(y * x) \ 1),z,u) * w) = (a(x,x,L(y,z,u)) * a(y,x,x)) * w. a(x,y,y) * (L(a(x,y,(x * y) \ 1),z,u) * w) = (a(y,y,L(x,z,u)) * a(x,y,y)) * w. a(x,y,y) * (L(a(y,y,x),z,u) * w) = (a(y,y,L(x,z,u)) * a(x,y,y)) * w. (a(x,x,L(y,z,u)) * a(y,x,x)) * w = a(y,x,x) * (L(a(x,x,y),z,u) * w). (a(x,x,L(y,z,u)) * a(y,x,x)) * w = a(y,x,x) * (a(x,x,L(y,z,u)) * w). (a(x,y,z) * (T(x,a(x,y,z)) * u)) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). (a(x,y,z) * (x * u)) \ ((x * a(x,y,z)) * u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). a(a(x,y,z),x,u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). (x * y) \ ((x * (y * a(y,z,u))) / a(y,z,u)) = a(a(y,z,u),y,x). x != a(a(y,z,u),y,w) | a(y,a(y,z,u),w) = x. a(x,a(x,y,z),u) = (u * x) \ ((u * (x * a(x,y,z))) / a(x,y,z)). (x * y) \ ((x * (y * a(y,z,u))) / a(y,z,u)) = a(y,a(y,z,u),x). T((x * a(y,z,z)) * L(a(z,z,y),u,w),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). T((x * a(y,z,z)) * a(z,z,L(y,u,w)),x) = (a(y,z,(y * z) \ 1) \ 1) * (L(a(y,z,(y * z) \ 1),u,w) * x). x * (a(y,y,L(z,u,w)) * a(z,y,y)) = (x * a(z,y,y)) * a(y,y,L(z,u,w)). (x * a(y,z,z)) * a(z,z,L(y,u,w)) = x * (a(z,z,L(y,u,w)) * a(y,z,z)). R(x,a(y,z,z),a(z,z,L(y,u,w))) = (x * (a(z,z,L(y,u,w)) * a(y,z,z))) / (a(y,z,z) * a(z,z,L(y,u,w))). (x * (a(y,y,L(z,u,w)) * a(z,y,y))) / (a(z,y,y) * a(y,y,L(z,u,w))) = R(x,a(z,y,y),a(y,y,L(z,u,w))). x * K(a(y,y,L(z,u,w)),a(z,y,y)) = R(x,a(z,y,y),a(y,y,L(z,u,w))). x * 1 = R(x,a(y,z,z),a(z,z,L(y,u,w))). R(x,a(y,z,z),a(z,z,L(y,u,w))) = x * 1. R(x,a(y,z,z),a(z,z,L(y,u,w))) != v5 | x = v5. L(a(x * y,z,a(z,x,y)) \ u,z,K(x * y,T(z,z))) = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. L(a(x * y,z,a(z,x,y)) \ u,z,K(x * y,z)) = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). x / a(y * z,u,((y * z) * u) \ T((u * y) * z,u)) = L(a(y * z,u,a(u,y,z)) \ x,u,K(y * z,u)). x != L(y,z,K(u,z)) | y = x. a(x * y,z,a(z,x,y)) \ u = u / a(x * y,z,((x * y) * z) \ T((z * x) * y,z)). x / a(y * z,u,((y * z) * u) \ T((u * y) * z,u)) = a(y * z,u,a(u,y,z)) \ x. x / a(y * z,u,a(u,y,z)) = a(y * z,u,a(u,y,z)) \ x. T(x,K(y,z)) / u != w \ T(x,K(y,z)) | T(w,x) = u. T(a(x * y,z,a(z,x,y)),u) = a(x * y,z,a(z,x,y)). T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = a(y * z,x,a(x,y,z)) \ R(x,y,z). x != a(y * z,u,a(u,y,z)) \ R(u,y,z) | u * a(u,y,z) = x. x * a(x,y,z) = T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z). T(R(x,y,z) \ (x * a(x,y,z)),u) * R(x,y,z) = x * a(x,y,z). T(x * (R(x,y,z) \ a(x,y,z)),u) * R(x,y,z) = x * a(x,y,z). L(a(x,y,L(y,z,u)) \ w,y,K(x / L(y,z,u),x * y)) = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y / L(z,u,w),y * z)). x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y * z,L(z,u,w) / y)). x != L(y,z,K(u,w / v5)) | L(y,z,K(u,v5 \ w)) = x. L(a(x,y,L(y,z,u)) \ w,y,K(x * y,x \ L(y,z,u))) = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,z,K(y * z,y \ L(z,u,w))). x != L(y,z,K(u,w \ L(z,v5,v6))) | L(y,u,K(z,w)) = x. L(a(x,y,L(y,z,u)) \ w,x * y,K(y,x)) = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = L(a(y,z,L(z,u,w)) \ x,y * z,K(z,y)). x != L(y,z * u,K(u,z)) | y = x. a(x,y,L(y,z,u)) \ w = w / a(x / L(y,z,u),y,((x / L(y,z,u)) * y) \ (x * y)). x / a(y / L(z,u,w),z,((y / L(z,u,w)) * z) \ (y * z)) = a(y,z,L(z,u,w)) \ x. x / a(y / L(z,u,w),z,L(z,u,w)) = a(y,z,L(z,u,w)) \ x. x / a(y,z,L(z,u,w)) = a(y,z,L(z,u,w)) \ x. ((K(x,L(T(y,z),z,u)) \ 1) * ((z * K(x,y)) * u)) * K(x,(z * u) \ ((z * y) * u)) = L((z * K(x,y)) * u,((z * u) \ ((z * K(x,y)) * u)) \ 1,(z * u) \ ((z * K(x,y)) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(y,L(T(z,x),x,u)) \ 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(L(T(z,x),x,u),y) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(T(z,x),L(y,x,u)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(z,T(L(y,x,u),x)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = ((K(z,L(T(y,x),x,u)) * 1) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = (K(z,L(T(y,x),x,u)) * ((x * K(y,z)) * u)) * K(y,(x * u) \ ((x * z) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = (x * u) * K(y,(x * u) \ ((x * z) * u)). x != (y * z) * K(u,(y * z) \ w) | y * (z * K(u,z \ (y \ w))) = x. x * (y * K(z,y \ (x \ ((x * u) * y)))) = L((x * K(z,u)) * y,((x * y) \ ((x * K(z,u)) * y)) \ 1,(x * y) \ ((x * K(z,u)) * y)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,u \ (x \ ((x * z) * u)))). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,((x * u) \ (x * z)) * u)). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (u * K(y,L(T(z,u),u,x))). L((x * K(y,z)) * u,((x * u) \ ((x * K(y,z)) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). L((x * K(y,z)) * u,K(y,(x * u) \ ((x * z) * u)) \ 1,(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). L((x * K(y,z)) * u,K((x * u) \ ((x * z) * u),y),(x * u) \ ((x * K(y,z)) * u)) = x * (K(y,L(z,u,x)) * u). L((x * K(y,z)) * u,K((x * u) \ ((x * z) * u),y),K(y,(x * u) \ ((x * z) * u))) = x * (K(y,L(z,u,x)) * u). (x * K(y,z)) * u = x * (K(y,L(z,u,x)) * u). x * (K(y,L(z,u,x)) * u) = (x * K(y,z)) * u. ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(x,u,L(K(y,T(z,u)),u,x)). a(x,y,L(K(z,T(u,y)),y,x)) = ((x * K(z,u)) * y) \ (x * (K(z,u) * y)). a(x,y,y) * (K(z,u) * w) = (a(x,y,y) * K(z,u)) * w. (a(x,y,y) * K(z,u)) * w = a(x,y,y) * (K(z,u) * w). x != ((y * K(z,u)) * w) \ (y * (K(z,u) * w)) | a(w,K(z,u),y) = x. a(x,K(y,z),u) = a(u,x,L(K(y,T(z,x)),x,u)). a(x,y,L(K(z,T(u,y)),y,x)) = a(y,K(z,u),x). a(x,y,K(z,L(T(u,y),y,x))) = a(y,K(z,u),x). a(x,T(y,z),K(z,u)) = a(z,K(u,y),x). a(x,y,K(z,u)) = a(x,K(y,u),z). a(x,K(y,z),u) = a(x,y,K(u,z)). (x * (K(y,z) * u)) * a(x,y,K(u,z)) = (x * K(y,z)) * u. a(x,K(y,z),u) = a(x,y,K(u,y \ z)). a(x,y,K(z,y \ u)) = a(x,K(y,u),z). a(x,K(y,z \ u),w) = a(x,y,K(w,z \ (u * y))). a(x,y,K(z,u \ (w * y))) = a(x,K(y,u \ w),z). a(x,a(y,z,K(u,w)),v5) = a(x,a(y,z,u),K(v5,w)). (K(x,T(y,z)) * u) * a(z,x,K(u,T(y,z))) = z \ ((K(x,y) * z) * u). x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,y,K(T(z,y) * u,z)). (K(x,T(y,z)) * u) * a(x / z,x,K(u,y)) = (x / z) \ ((T(x,y) / z) * u). (T(x,y) \ z) / a(u,y,K(L(x \ z,K(y,x),u),x)) = K(y,x) * L(x \ z,K(y,x),u). (K(x,T(y,z)) * u) * a(T(x,y) \ z,x,K(u,y)) = (T(x,y) \ z) \ ((x \ z) * u). a(x,a(y,z,K(u,w)),v5) = a(x,y,K(v5,a(w,z,u))). x != a(y,K(z,u),w) | a(y,z,K(w,u)) = x. a(x,y,K(z,u)) = a(x,y,K(z,y \ u)). a(x,y,K(z,y \ u)) = a(x,y,K(z,u)). (T(x,y) * K(z,u)) * a(u,y,K(z,x)) = (y \ x) * (y * K(z,u)). a(x,y,K(z,u \ w)) = a(x,y,K(z,u \ (w * y))). a(x,y,K(z,u \ (w * y))) = a(x,y,K(z,u \ w)). a(x,a(y,z,K(u,w)),v5) != v6 | a(x,a(y,z,u),K(v5,w)) = v6. a(x,a(y,z,u),K(w,v5)) = a(x,y,K(w,a(v5,z,u))). a(x,y,K(z,u \ (x * y))) != w | K(z,u \ (x * (y * ((x * y) \ u)))) = w. K(x,y \ (z * (u * ((z * u) \ y)))) = a(z,u,K(x,y \ z)). a(x,a(y,z,u),K(w,v5)) = a(x,y,a(w,z,K(u,v5))). K(x,y) * a(x,z,a(u,w,K(v5,y))) = K(x,L(y,a(z,w,v5),u)). T(x,a(y,z,u)) * (K(z,y) * u) = (x * K(z,y)) * u. x * a(y,z,K(u,w)) != v5 | x * a(z,w,K(u,y)) = v5. (x * (K(y,z) * u)) * a(y,z,K(u,x)) = (x * K(y,z)) * u. (x * (a(y,z,u) * K(w,v5))) * a(x,w,K(a(y,z,u),v5)) = (x * K(w,v5)) * a(y,z,u). x != a(y,z,K(u,w \ y)) | a(u,z,K(y,w)) = x. a(x,y,K(z,u)) = K(x,u \ (z * (y * ((z * y) \ u)))). K(x,y \ (z * (u * ((z * u) \ y)))) = a(x,u,K(z,y)). x * a(y,z,K(u,x)) = u * (z * T(z \ (u \ x),a(u,z,y))). (x * y) * a(z,u,K(w,x)) != v5 | x * (y * a(z,u,K(w,x))) = v5. x * ((K(y,z) * u) * a(y,z,K(u,x))) = (x * K(y,z)) * u. x * (K(y,z) * (u * a(y,z,K(u,x)))) = (x * K(y,z)) * u. x * (K(y,z) * T(u,a(z,x,y))) = (x * K(y,z)) * u. x * (K(y,z) * L(u,x,K(y,z))) = (x * K(y,z)) * u. (a(x,y,y) * K(z,u)) * w != a(x,y,y) * (K(z,u) * v5) | v5 = w. L(x,a(y,z,z),K(u,w)) = x. L(x,a(y,z,z),T(u,w)) = L(x,a(y,z,z),u). L(x,a(y,z,z),T(u,w)) != v5 | L(x,a(y,z,z),u) = v5. K(x,L(y,z,a(u,w,v5))) = K(x,L(y,a(z,w,v5),u)). K(x,L(y,a(z,u,w),v5)) = K(x,L(y,z,a(v5,u,w))). K(x,L((y * a(z,z \ 1,u)) \ w,a(u,z,z \ 1),y)) != v5 | K(x,a(u,z,(u * z) \ 1) * (y \ w)) = v5. K(x,a(y,z,(y * z) \ 1) * (u \ w)) = K(x,L((u * a(z,z \ 1,y)) \ w,y,a(u,z,z \ 1))). K(x,L((y * a(z,z \ 1,u)) \ w,u,a(y,z,z \ 1))) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). T(x,a(y,z,u)) = y * (z * T(z \ (y \ x),a(y,z,u))). x * (y * T(y \ (x \ z),a(x,y,u))) = T(z,a(x,y,u)). x * T(x \ y,a(z,u,x)) = T(y,a(x,z,u)). (T(x,y) * K(z,u)) * a(u,y,K(z,x)) != w | y \ ((x * y) * K(z,u)) = w. x \ ((y * x) * K(z,u)) = (x \ y) * (x * K(z,u)). T(x,y) \ ((y \ x) * (y * K(z,u))) = K(z,L(u,y,x)). x \ ((x / y) * (y * K(z,u))) = K(z,L(u,y,x)). L(K(x,y),z,z \ u) = K(x,L(y,z,u)). K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). T(x,y \ 1) * K(z,L(u,y,x \ 1)) = ((y \ 1) \ x) * (y \ K(z,u)). (K(x,T(y,z)) * u) * a(z,x,K(u,y)) = z \ ((K(x,y) * z) * u). K(x,T(y,z)) * T(u,a(z,x,y)) = z \ ((K(x,y) * z) * u). T(x,y \ 1) * K(z,L(u,x,y)) = ((y \ 1) \ x) * (y \ K(z,u)). T(x,y \ 1) * K(z,L(u,x,y)) != w | y * ((x / y) * K(z,u)) = w. x * ((y / x) * K(z,u)) = ((x \ 1) \ y) * (x \ K(z,u)). ((x \ 1) \ y) * (x \ K(z,u)) = x * ((y / x) * K(z,u)). ((x \ 1) \ T(y,x)) * (x \ K(z,u)) = x * ((x \ y) * K(z,u)). (x / (y \ 1)) * (y \ K(z,u)) = y * ((y \ x) * K(z,u)). ((x \ 1) / ((y \ 1) \ 1)) * ((y \ 1) \ K(z,u)) = (y \ 1) * (((x / y) \ 1) * K(z,u)). ((K(x,y) \ 1) * z) * ((u / (z \ 1)) \ 1) = (z * ((z \ u) * K(x,y))) \ 1. x != (y * (z * K(u,w))) \ 1 | (K(w,u) / z) * (y \ 1) = x. (K(x,y) / (z \ u)) * (z \ 1) = ((K(y,x) \ 1) * z) * ((u / (z \ 1)) \ 1). ((K(x,y) \ 1) * z) * ((u / (z \ 1)) \ 1) = (K(y,x) / (z \ u)) * (z \ 1). ((K(x,y) \ 1) * z) * (((u \ 1) / (z \ 1)) \ 1) = (K(y,x) * (u / (z \ 1))) * (z \ 1). x \ ((x * K(y,z)) * (T(z,y) * u)) = (z * u) * a(x,y,K(u,z)). x \ ((x * K(y,z)) * (T(z,y) * u)) != w | z * T(u,a(x,y,z)) = w. x * T(y,a(z,u,x)) = L(x * y,K(x,u),z). L(x * y,K(x,z),u) = x * T(y,a(u,z,x)). x != y * T(y \ z,a(u,w,y)) | T(z,a(y,u,w)) = x. T(x,a(y,z,u)) = L(y * (y \ x),K(y,u),z). L(x * (x \ y),K(x,z),u) = T(y,a(x,u,z)). L(x,K(y,z),u) = T(x,a(y,u,z)). x != T(y,a(z,u,w)) | T(y,(z * v5) \ (L(z,u,w) * v5)) = x. T(x,(y * z) \ (L(y,u,w) * z)) = L(x,K(y,w),u). x != T(y,a(z,u,w)) | T(y,z \ L(z,u,w)) = x. T(x,y \ L(y,z,u)) = L(x,K(y,u),z). x != T(y,a(z,u,w)) | L(y,w,K(z,u)) = x. L(x,y,K(z,u)) = L(x,K(z,y),u). L(x,K(y,z),u) = L(x,z,K(y,u)). x != T(y,a(z,u,w)) | L(y,z,K(u,w)) = x. L(x,y,K(z,u)) = L(x,K(y,u),z). L(x,K(y,z),u) = L(x,y,K(u,z)). x != T(y,a(z,u,w)) | y * a(w,z,K(y,u)) = x. x * a(y,z,K(x,u)) = L(x,K(z,y),u). L(x,y,K(z,u)) = L(x,K(u,z),y). L(x,K(y,z),u) = L(x,u,K(z,y)). T(x,a(y,z,u) \ x) = L(x,K(u,y),z). T(x,L(y,z,u)) = L(T(x,y),K(y,u),z). L(T(x,y),K(y,z),u) = T(x,L(y,u,z)). a(x,y,z) * L(u,K(x,z),y) = u * a(x,y,z). T(x * y,a(y,z,u)) = L(x,K(y,u),z) * y. L(x,K(y,z),u) != w | L(x,z,K(y,u)) = w. T(x * y,a(z,y,u)) = L(x,K(z,u),y) * y. L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ L(x,K(z,u),y). L(x,K(y,z),u) * (K(u,y) * z) = (x * K(u,y)) * z. L(K(x,y) * z,K(y,x),K(y,x) * u) != w | u \ ((u * K(x,y)) * z) = w. x \ ((x * K(y,z)) * u) = L(K(y,z) * u,y,K(z,K(z,y) * x)). L(K(x,y) * z,x,K(y,K(y,x) * u)) = u \ ((u * K(x,y)) * z). L(K(x,y) * (z \ u),K(y,x),z) != w | (z * K(y,x)) \ u = w. (x * K(y,z)) \ u = L(K(z,y) * (x \ u),z,K(y,x)). L(K(x,y) * (z \ u),x,K(y,z)) = (z * K(y,x)) \ u. L(x \ L(y,z,K(x,u)),x,u * K(x,z)) = L(x \ y,T(x,z),u). a(x,y,z) = L(a(x,y,z),u,K(x,w)). L(a(x,y,z),u,K(x,w)) = a(x,y,z). L(x,K(y,z),u) = L(x,y,K(u,z * y)). L(x,y,K(z,u * y)) = L(x,K(y,u),z). L(x,y,z) \ L(x,K(y,z),u) = T(L(x,y,z) \ x,u). T(L(x,K(y,z),u) * u,x) = u * L(x,u,K(z,y)). L(a(x,y,z),u,K(x,y * z)) != w | L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)) = w. L(x \ ((y * z) \ T((x * y) * z,x)),x,T(y * z,u)) = a(x,y,z). (x \ L(x,y,z)) * L(u,K(x,z),y) = u * (x \ L(x,y,z)). (x \ y) * K(z,y \ L(y,u,w)) = x \ L(y,K(u,w),z). x != L(y,K(z,u),w) | L(y,u,K(z,w)) = x. L(x,y,K(z,u)) = L(x,z,K(u,y * z)). L(x,y,K(z,u * y)) = L(x,u,K(y,z)). L(x,y,K(z,u)) != w | L(x,K(z,y),u) = w. L(x,K(y,z),u * z) = L(x,K(z,u),y). (L(x,K(y,z),u) * (K(u,y) * z)) \ ((x * K(u,y)) * (z * y)) = L(y,K(u,y) * z,L(x,K(u,y),z * y)). T(x,a(y,z,u)) != w | L(x,K(y,u),z) = w. L(x * y,K(y,z),u) = L(x,K(y,z),u) * y. L(x * y,K(z,u),y) = L(x,K(z,u),y) * y. L(x * y,K(y,z),u) = L(x,z,K(y,u)) * y. L(x * y,K(z,x),y) = x * y. L(x * y,z,K(y,u)) = L(x,z,K(y,u)) * y. a(x,y,z) * L(u * x,z,K(x,y)) = (u * a(x,y,z)) * x. a(x,y,L(y,z,u)) * w = w * a(x,y,L(y,z,u)). T(x,y \ (L(z,u,w) * (z \ y))) = L(x,K(z,w),u). T(L(x * y,K(z,u),y),x) = y * L(x,y,K(u,z)). L(x,y,K(z,u)) = T(x,w \ (L(z,u,y) * (z \ w))). T(x,y \ (L(z,u,w) * (z \ y))) = L(x,w,K(z,u)). L(T(x * y,x),K(z,u),y) = y * L(x,y,K(u,z)). L(x * y,K(z,u),x) = x * L(y,x,K(u,z)). L(x * y,z,K(u,x)) = x * L(y,x,K(z,u)). a(x,x,(y * K(z,u)) \ w) = a(x,x,K(u,z) * (y \ w)). a((x * K(y,z)) \ u,w,w \ 1) = a(K(z,y) * (x \ u),w,w \ 1). (x \ y) * a(z,u,K(y,w)) = x \ L(y,K(u,z),w). x * a(y,z,K(u,w)) != v5 | x * a(u,w,K(y,z)) = v5. (x \ y) * a(y,z,K(u,w)) = x \ L(y,K(w,u),z). (x \ y) * a(y,z,K(u,w)) = x \ L(y,u,K(w,z)). a(x,x,y \ z) = a(x,x,K(u,w) * ((y * K(u,w)) \ z)). a(x,x,K(y,z) * ((u * K(y,z)) \ w)) = a(x,x,u \ w). x != L(y,z,u) \ L(y,K(z,u),w) | T(L(y,z,u) \ y,w) = x. T(L(x,y,z) \ x,u) = L(T(x,u),y,z) \ T(x,u). L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,y). L(T(x,y),z,u) \ T(x,x \ y) = T(L(x,z,u) \ x,x \ y). T(L(x,y,z) \ x,u) \ 1 = T(x,u) \ L(T(x,u),y,z). L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) = T((R(x,z,u) \ 1) \ (x \ 1),y). T((L(x,y,z) \ x) \ 1,u) = T(x,u) \ L(T(x,u),y,z). T(x \ L(x,y,z),u) = T(x,u) \ L(T(x,u),y,z). T(x,y) \ L(T(x,y),z,u) = T(x \ L(x,z,u),y). T(x,y) \ L(T(x,y),z,u) != w | T(x \ 1,y) * L(T(x,y),z,u) = w. T(x \ 1,y) * L(T(x,y),z,u) = T(x \ L(x,z,u),y). T(x \ 1,y) * L(T(x,y),z,u) != w | T((x \ 1) * L((x \ 1) \ 1,z,u),x * y) = w. T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u). L(T(x \ L(x,y,z),u \ 1),x,u) = (u * L(x,y,z)) / (u * x). (x \ L(x,y,z)) * L(u,z,K(x,y)) = u * (x \ L(x,y,z)). (x \ L(x,y,z)) * T(u,L(x,y,z)) = T(u,x) * (x \ L(x,y,z)). (x * y) * a(y,z,u) = (x * a(y,z,u)) * y. (x * a(y,z,u)) * y = (x * y) * a(y,z,u). L(x,a(x,y,z),u) = ((u * x) * a(x,y,z)) \ ((u * (a(x,y,z) * x)) * x). ((x * y) * a(y,z,u)) \ ((x * (a(y,z,u) * y)) * y) = L(y,a(y,z,u),x). (x * (y \ L(y,z,u))) * y = (y \ L(y,z,u)) * (L(x,u,K(y,z)) * y). (x \ L(x,y,z)) * (L(u,z,K(x,y)) * x) = (u * (x \ L(x,y,z))) * x. (x \ L(x,y,z)) * u = L(u,z,K(y,x)) * (x \ L(x,y,z)). L(x,y,K(z,u)) * (u \ L(u,z,y)) = (u \ L(u,z,y)) * x. L(T(x,y),z,u) \ T(x,y) = T(L(x,z,u) \ x,x \ y). T(L(x,y,z) \ x,x \ u) = L(T(x,u),y,z) \ T(x,u). x != L(T(y,z),u,w) \ T(y,z) | T(L(y,u,w) \ y,z) = x. T(L(x,y,z) \ x,u) = T(L(x,y,z) \ x,x \ u). T(L(x,y,z) \ x,x \ u) = T(L(x,y,z) \ x,u). L(T(L(x,y,z) \ x,u),L(x,y,z),z * y) = T((z * (y * x)) \ ((z * y) * x),x \ u). L(K(x,y) * z,x,K(y,u)) = u \ ((u * K(x,y)) * z). x * L(K(y,z) * u,y,K(z,x)) = (x * K(y,z)) * u. x * y != (x * K(z,u)) * w | K(z,u) * L(w,x,K(z,u)) = y. K(x,y) * L(z,u,K(x,y)) = L(K(x,y) * z,x,K(y,u)). L(K(x,y) * z,x,K(y,u)) = K(x,y) * L(z,u,K(x,y)). x * L(K(y,z) * u,x,K(y,z)) = (x * K(y,z)) * u. x * ((x * K(y,z)) \ u) = (x * K(z,y)) * (x \ u). (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). (x * T(y,z)) * ((x * y) \ u) = (x * y) * (((x * y) * K(z,y)) \ u). (x * y) * (((x * y) * K(z,y)) \ u) = (x * T(y,z)) * ((x * y) \ u). a(x * K(y,z),x * K(y,z),x * ((x * K(z,y)) \ u)) = a(x * K(y,z),x * K(y,z),x \ u). x * L(y,x,K(z,u)) != w | L(x * y,z,K(u,x)) = w. L(x * (K(y,z) * u),y,K(z,x)) = (x * K(y,z)) * u. L(x * (K(y,z) * u),y,K(z,x)) != w | L((K(z,y) / x) \ u,x,x \ 1) = w. L((K(x,y) / z) \ u,z,z \ 1) = (z * K(y,x)) * u. x \ ((x * K(y,z)) * u) = (x \ 1) * ((K(z,y) / x) \ u). (x \ 1) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (((z \ 1) * K(y,x)) * u) \ 1. R(((K(x,y) / (z \ 1)) \ u) \ 1,z,z \ 1) \ (((K(x,y) / (z \ 1)) \ u) \ 1) = ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u). L(K(x,y) * z,x,K(u,y)) = K(x,y) * L(z,u \ 1,K(x,y)). K(x,y) * L(z,u \ 1,K(x,y)) = L(K(x,y) * z,x,K(u,y)). T(x,y) \ L(K(x,y) * z,x,K(y,u)) = x \ L(z,u,K(x,y)). ((x / K(y,z)) \ 1) * ((K(z,y) / (x / K(y,z))) \ u) = (x / K(y,z)) \ (x * u). K(x,y) * L(z,y,K(x,u)) = L(K(x,y) * z,x,K(u,y)). L(K(x,y) * z,x,K(u,y)) = K(x,y) * L(z,y,K(x,u)). L(x * ((y \ L(y,z,u)) / x),y,x) = (x * L(y,z,u)) / (x * y). L(x \ R(x,y,z),x,T(y * z,u)) = a(x,y,z). L(x \ R(x,y,z),x,T(y * z,z)) != u | a(x,T(y,z),z) = u. a(x,T(y,z),z) = a(x,y,z). x != a(y,z,T(u,z)) | (y * (u * z)) \ ((y * z) * T(u,z)) = x. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,T(z,T(y,z)),T(y,z)). a(x * y,T(x,y),y) != z | y \ L(y,y \ (x \ y),x * y) = z. x \ L(x,x \ (y \ x),y * x) = a(y * x,y,x). a(x,y,z \ 1) = a(x,T(y,z),z \ 1). a(x,T(y,z),z \ 1) = a(x,y,z \ 1). a(x,(y / z) \ 1,z \ 1) = a(x,(z \ y) \ 1,z \ 1). a(x \ 1,T(y \ 1,z),z \ 1) != u | L(x \ L(x,y,z),x,y * z) \ 1 = u. L(x \ L(x,y,z),x,y * z) \ 1 = a(x \ 1,y \ 1,z \ 1). x \ L(x,x \ (y \ x),y * x) != z | a(y * x,x \ (y \ x),x) \ 1 = z. a(x * y,y \ (x \ y),y) \ 1 = a(x * y,x,y). a(x,y \ (x \ y),y) \ 1 = a(x * y,x,y). (x * (y \ (y / x))) \ 1 = a(x * y,x,y). (x * (y \ (y / x))) \ 1 != z | x \ ((y \ (y / x)) \ 1) = z. x \ ((y \ (y / x)) \ 1) = a(x * y,x,y). x != a(y * z,u,z) | a(y,u,z) = x. a(x,x,y) = x \ ((y \ (y / x)) \ 1). x \ ((y \ (y / x)) \ 1) = a(x,x,y). x \ ((y \ (y / x)) \ 1) != z | (y \ (y / x)) \ (x \ 1) = z. (x \ (x / y)) \ (y \ 1) = a(y,y,x). x \ L(x,x \ 1,y \ 1) = a(x,x,y). x \ y != a(x,x,z) | L(x,x,z) = y. L(x,x,y) = L(x,x \ 1,y \ 1). L(x,x \ 1,y \ 1) = L(x,x,y). L(a(x,y,z),a(x,y,z) \ 1,(x \ ((x * y) * z)) \ 1) != u | ((x \ ((x * y) * z)) \ (y * z)) \ 1 = u. ((x \ ((x * y) * z)) \ (y * z)) \ 1 = L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)). L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)) = ((x \ ((x * y) * z)) \ (y * z)) \ 1. L(x,x \ 1,(y * x) \ 1) != z | L(x,x \ 1,y \ 1) = z. L(x,x \ 1,y \ 1) = L(x,x,y * x). L(x \ y,(x \ y) \ 1,x \ 1) != z | (y \ x) \ 1 = z. (x \ y) \ 1 = L(y \ x,y \ x,y). L(x \ y,x \ y,x) = (y \ x) \ 1. L(x,x \ 1,y) = L(x,x,y \ 1). L(x \ 1,x,y) * L(L(x,x,y),z,u) = L(x \ L(x,z,u),x,y). L(x,x \ 1,y) != z | R(x,x \ 1,y) = z. R(x,x \ 1,y) = L(x,x,y \ 1). R(x,x \ 1,y \ 1) != z | R(x,x \ 1,(L(x,u,w) \ y) \ 1) = z. R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x,x,(u \ 1) \ 1). L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x,x,(v5 \ 1) \ 1),y,z). L(((x * y) * z) \ (x * (y * z)),((x * y) * z) \ (x * (y * z)),(x * y) * z) = a(x,y,z) \ 1. x * ((x \ y) \ 1) = y * ((y \ x) * (y \ x)). x * ((x \ y) * (x \ y)) = y * ((y \ x) \ 1). L(a(x,y,z),((y * z) * x) \ T((x * y) * z,x),(y * z) * x) = (T((x * y) * z,x) \ ((y * z) * x)) \ 1. L(x,x \ 1,y \ 1) != z | L(x,x,y) = z. L(x,x,y) = L(x,x,y * x). L(x,x,y * x) = L(x,x,y). ((x * y) * y) * L(L(y,y,x),z,u) = (x * y) * (y * L(y,z,u)). L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)) = L(a(x,y,z),a(x,y,z),y * z). x / L(T(y \ L(y,y,z),u),y,L(y,y,T(z * y,u)) \ x) = (x / L(y,y,T(z * y,u))) * y. a(x \ 1,(x / y) \ 1,y \ 1) != z | a(y,x \ y,x) \ 1 = z. a(x,y \ x,y) \ 1 = a(y \ 1,(x \ y) \ 1,x \ 1). a(x \ 1,(y \ x) \ 1,y \ 1) = a(y,x \ y,x) \ 1. a(x \ 1,(y \ x) \ 1,y \ 1) != z | a(y,y \ x,x) = z. a(x,x \ y,y) = a(x,y \ x,y) \ 1. a(x,y \ x,y) \ 1 = a(x,x \ y,y). a(x,y \ x,y) \ 1 != z | ((y \ x) * (x \ 1)) * y = z. ((x \ y) * (y \ 1)) * x = a(y,y \ x,x). ((x \ y) * (y \ 1)) * x != z | x * ((y \ 1) * (y / x)) = z. x * ((y \ 1) * (y / x)) = a(y,y \ x,x). x * ((y \ 1) * (y / x)) != z | a(x \ y,(x \ y) \ 1,y) = z. a(x \ y,(x \ y) \ 1,y) = a(y,y \ x,x). a(x \ y,x \ y,y \ 1) = a(y,y \ x,x). a(x \ y,x \ y,y \ 1) != z | a(x \ y,x \ y,x \ 1) = z. a(x \ y,x \ y,x \ 1) = a(y,y \ x,x). a(x \ y,x \ y,y \ 1) != z | (x \ y) * (y \ x) = z. (x \ y) * (y \ x) = a(y,y \ x,x). (x \ y) \ a(y,y \ x,x) = y \ x. L(x \ y,y \ x,z) * z = a(x,x \ y,y) * ((y \ x) \ z). (R(x,y,z) \ a(x,u,w)) \ 1 = a(x,u,w) \ R(x,y,z). a(x,x \ y,x \ y) = a(y,y \ x,x). (a(x,y,z) \ R(x,u,w)) \ 1 = R(x,u,w) \ a(x,y,z). a(x,y,z) * (R(x,u,w) \ 1) = R(x,u,w) \ a(x,y,z). a(x,y,z) * L(x \ 1,u,u) = R(x,u,u) \ a(x,y,z). x != R(y,z,z) \ u | L(y,z,z) \ u = x. L(x,y,y) \ a(x,z,u) = a(x,z,u) * L(x \ 1,y,y). a(x,y,z) * L(x \ 1,u,u) = L(x,u,u) \ a(x,y,z). x != L(y,z,(u \ 1) \ 1) | L(y,z,u) = x. L(x,x,y) = R(x,x \ 1,(L(x,z,u) \ y) \ 1). R(x,x \ 1,(L(x,y,z) \ u) \ 1) = L(x,x,u). R(x,x \ 1,y) != z | L(x,x,y \ 1) = z. L(x,x,((L(x,y,z) \ u) \ 1) \ 1) = L(x,x,u). L(x,x,L(x,y,z) \ u) = L(x,x,u). L(x,x,x \ y) = L(x,x,y). L(x,x,y * x) != z | L(x,x,y) = z. L(x,x \ 1,y) != z | L(x,x,y \ 1) = z. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,T(z,y),T(y,z)). x != a(y,T(z,u),T(u,z)) | a(y,z,u) = x. a(x,y,z) = (x * (z * y)) \ ((x * y) * T(z,y)). x != (y * (z * u)) \ ((y * u) * T(z,u)) | a(y,u,T(z,u)) = x. 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 \ 1,(z / y) \ 1) = a(x,y \ 1,(y \ z) \ 1). (x * ((x \ R(x,y,z)) * u)) * 1 = (x * u) * T(x \ R(x,y,z),u). a(x \ 1,y \ 1,(x / y) \ 1) != z | a(y,y \ 1,x) = z. a(x,x \ 1,y) = a(y \ 1,x \ 1,(x \ y) \ 1). a(x \ 1,y \ 1,(y \ x) \ 1) = a(y,y \ 1,x). a(x \ 1,y \ 1,(x / y) \ 1) != z | a(y \ x,y,(x / y) * y) = z. a(x \ y,x,(y / x) * x) = a(y \ 1,x \ 1,(x \ y) \ 1). a(x \ 1,y \ 1,(y \ x) \ 1) = a(y \ x,y,(x / y) * y). a(x \ 1,y \ 1,(y \ x) \ 1) = a(y \ x,y,x). a(x \ 1,y \ 1,(y \ x) \ 1) != z | a(y,y \ 1,x) = z. a(x,x \ 1,y) = a(x \ y,x,y). a(x \ y,x,y) = a(x,x \ 1,y). a(x,y,y) = a(y \ x,y,x). a(x \ y,x,y) = a(y,x,x). x \ 1 != a(y \ 1,z \ 1,u \ 1) | (u * z) \ ((u * (z * y)) / y) = x. (x * y) \ ((x * (y * z)) / z) = L(z \ L(z,y,x),z,y * x). L(x \ L(x,y,z),x,y * z) = (z * y) \ ((z * (y * x)) / x). L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u)) = (L(y,z,u) * y) \ ((y * (L(y,z,u) * x)) / x). L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = (y * a(y,z,u)) \ ((a(y,z,u) * (y * x)) / x). L(L(x,y,z) \ x,x,u) \ 1 = L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,u) != w | L(L(x,y,z) \ x,x,u) \ 1 = w. L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,u). L(x \ L(x,y,z),x,u) \ 1 != w | L(L(x,y,z) \ x,x,u) = w. L((x \ (x / y)) \ (y \ 1),y \ 1,z) \ 1 = L((y \ 1) \ L(y \ 1,y,x),y \ 1,z). L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = L((y \ (y / x)) \ (x \ 1),x \ 1,z) \ 1. L(x \ L(x,y,z),x,y * z) \ 1 != u | a(x \ 1,y \ 1,z \ 1) = u. a(x \ 1,y \ 1,z \ 1) = L(L(x,y,z) \ x,x,y * z). L(L(x,y,z) \ x,x,y * z) = a(x \ 1,y \ 1,z \ 1). L(x \ L(x,y,z),x,z * y) \ 1 != u | a(x \ 1,y \ 1,z \ 1) = u. a(x \ 1,y \ 1,z \ 1) = L(L(x,y,z) \ x,x,z * y). L(L(x,y,z) \ x,x,z * y) = a(x \ 1,y \ 1,z \ 1). L(L(L(x,y,z) \ x,u,w),L(x,u,w),z * y) = a(L(x,u,w) \ 1,y \ 1,z \ 1). ((x * y) * z) * L(L(z,y,x),u,w) != v5 | (x * (y * L(z,u,w))) * z = v5. (x * (y * L(y,z,u))) * y = (x * y) * (y * L(y,z,u)). ((x * y) * L(y,z,u)) \ ((x * y) * (y * L(y,z,u))) = L(y,L(y,z,u),x). a(x \ 1,y \ 1,z \ 1) != u | L(L(x,y,z) \ x,x,y * z) = u. T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) != w | T(x \ L(x,y,z),u * x) = w. T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),u). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). (x \ ((x / y) * L(y,z,u))) * (x * y) = x * (y * T(y \ L(y,z,u),x)). x * T(x \ L(x,y,z),u) = L(x,y,T(z,x * u)). L(x,y,T(z,u)) = L(x,y,T(z,x * u)). L(x,y,T(z,x * u)) = L(x,y,T(z,u)). L(x,y,R(T(z,x * u),w,v5)) = L(x,y,T(R(z,w,v5),u)). L(x,y,R(T(z,x * u),w,v5)) = L(x,y,R(T(z,u),w,v5)). L(x,y,R(T(z,x * u),x,u)) != w | L(x,y,(x * u) \ ((x * z) * u)) = w. L(x,y,(x * z) \ ((x * u) * z)) = L(x,y,R(T(u,z),x,z)). L(x,y,(x * y) \ ((x * (z / x)) * y)) != u | L(x,y,(y * x) \ (z * y)) = u. L(x,y,(y * x) \ (z * y)) = L(x,y,R(T(z / x,y),x,y)). L(x,y,R(T(z / x,y),x,y)) = L(x,y,(y * x) \ (z * y)). L(x,y,R(z / x,x,y)) = L(x,y,(y * x) \ (z * y)). L(x,y,R(z / x,u,w)) != v5 | L(x,y,R(x \ z,u,w)) = v5. L(x,y,R(x \ z,x,y)) = L(x,y,(y * x) \ (z * y)). L(x,y,R(x \ z,x,T(y,x))) = L(x,T(y,x),(T(y,x) * x) \ (z * T(y,x))). L(x,T(y,x),(T(y,x) * x) \ (z * T(y,x))) = L(x,y,R(x \ z,x,T(y,x))). L(x,y,R(x \ (y \ z),x,y)) = L(x,y,(y * x) \ T(z,y)). (x * y) * T(x \ R(x,z,u),y) != w | x * ((x \ R(x,z,u)) * y) = w. (x \ L(x,y,z)) * L(u * x,z,K(x,y)) = (u * (x \ L(x,y,z))) * x. (x \ L(x,y,z)) * L(u,z,K(x,y)) != w | u * (x \ L(x,y,z)) = w. (x * y) * (y \ L(y,z,u)) = (x * (y \ L(y,z,u))) * y. (x * (y \ L(y,z,u))) * y = (x * y) * (y \ L(y,z,u)). x != (T(y,z \ (u \ 1)) * u) * z | (u * z) * R(y,u,z) = x. (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,(x \ L(x,y,z)) \ (x \ 1)) * (x \ L(x,y,z))) * x. (T(x,(y \ L(y,z,u)) \ (y \ 1)) * (y \ L(y,z,u))) * y = (y * (y \ L(y,z,u))) * R(x,y,y \ L(y,z,u)). ((x * y) * a(y,z,u)) \ ((x * (y * a(y,z,u))) * y) = L(y,a(y,z,u),x). L(T(x,L(x,y,z)),L(x,y,z),u * x) = L(x,L(x,y,z),u). L(x,L(x,y,z),u * x) = L(x,L(x,y,z),u). a(x \ 1,L(x,L(x,y,z),u),w) = a(L(w,L(x,y,z),u * x),x,x). a(L(x,L(y,z,u),w * y),y,y) = a(y \ 1,L(y,L(y,z,u),w),x). a(L(x,L(y,z,u),w * y),y,y) != v5 | a(L(x,L(y,z,u),w),y,y) = v5. T(x * L(y,z,u),x * y) = x * (y * T(y \ L(y,z,u),x)). x * (y * T(y \ L(y,z,u),x)) = T(x * L(y,z,u),x * y). x * L(y,z,T(u,x)) = T(x * L(y,z,u),x * y). T(x * L(y,z,u),x * y) = x * L(y,z,T(u,x)). (x * L(y,z,T(u,x))) / (x * y) = x \ ((x / y) * L(y,z,u)). x != L(y,a(z,u,u),w) | L(y,a(z,u,u),T(w,v5)) = x. L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * (x * a(x,y,y))) * x). a(x,x,L(y,a(a(x,x,y),z,u),w)) = ((w * a(x,x,y)) * a(a(x,x,y),z,u)) \ ((w * (a(x,x,y) * a(a(x,x,y),z,u))) * a(x,x,y)). ((x * a(y,y,z)) * a(a(y,y,z),u,w)) \ ((x * (a(y,y,z) * a(a(y,y,z),u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). (K(x,T(y,z)) * u) * a(z \ x,x,K(u,y)) = (x / z) \ ((T(x,y) / z) * u). L(x,T(y,x),(T(y,x) * x) \ (z * T(y,x))) = L(x,y,R(x \ z,x,y)). L(x,T(y,x),L(x \ T(z,T(y,x)),x,y)) = L(x,y,R(x \ z,x,y)). L(x,y,L(x \ T(z,T(y,x)),x,y)) = L(x,y,R(x \ z,x,y)). (K(x,T(y,z)) * u) * a(u,y,K(x,z)) = (x / z) \ ((T(x,y) / z) * u). K(x,T(y,z)) * T(u,a(z,y,x)) = (x / z) \ ((T(x,y) / z) * u). K(x,T(y,z)) * L(u,x,K(z,y)) = (x / z) \ ((T(x,y) / z) * u). K(x,T(y,z)) * L(u,x,K(z,y)) != w | (z * K(x,y)) * (z \ u) = w. (x * K(y,z)) * (x \ u) = (y / x) \ ((T(y,z) / x) * u). (x / y) \ ((T(x,z) / y) * u) = (y * K(x,z)) * (y \ u). x != (y * K(z,u)) * (y \ w) | y * ((y * K(u,z)) \ w) = x. x * ((x * K(y,z)) \ u) = (z / x) \ ((T(z,y) / x) * u). (x / y) \ ((T(x,z) / y) * u) = y * ((y * K(z,x)) \ u). (x / (y * x)) \ ((x \ (T(x,z) / y)) * u) = (y * x) * (((y * x) * K(z,x)) \ u). (K(x,y) / z) * ((K(y,x) / (z / K(x,y))) \ u) = (z / K(x,y)) \ (z * u). (K(x,y) / z) * ((K(y,x) / (z * K(y,x))) \ u) = (z / K(x,y)) \ (z * u). (K(x,y) / z) * ((K(x,y) * (K(y,x) / z)) \ u) = (z / K(x,y)) \ (z * u). (K(x,y) / z) * ((z \ 1) \ u) = (z / K(x,y)) \ (z * u). L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * L(x,y,y)) * x). L(x,a(x,y,y),T(z,u)) = ((z * x) * a(x,y,y)) \ ((z * x) * L(x,y,y)). x != (y * a(z,u,u)) \ (y * L(z,u,u)) | L(z,a(z,u,u),y) = x. L(x,a(x,y,y),z * x) = L(x,a(x,y,y),T(z,u)). L(x,a(x,y,y),T(z,u)) = L(x,a(x,y,y),z * x). L(x,a(x,y,y),z) = L(x,a(x,y,y),z * x). L(x,a(x,y,y),z * x) = L(x,a(x,y,y),z). L(x,a(x,y,y),z) = L(x,a(x,y,y),z / x). L(x,a(x,y,y),z / x) = L(x,a(x,y,y),z). L(x,y,z / x) != u | L(x,y,x \ z) = u. L(x,a(x,y,y),x \ z) = L(x,a(x,y,y),z). (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (y * x) * (((y * x) * K(z,x)) \ u). (K(x,T(y,z)) * u) * a(u,x,K(y,x \ z)) = (T(x,y) \ z) \ ((x \ z) * u). (K(x,T(y,z)) * u) * a(u,x,K(y,z)) = (T(x,y) \ z) \ ((x \ z) * u). K(x,T(y,z)) * T(u,a(z,x,y)) = (T(x,y) \ z) \ ((x \ z) * u). K(x,T(y,z)) * T(u,a(z,x,y)) != w | z \ ((K(x,y) * z) * u) = w. x \ ((K(y,z) * x) * u) = (T(y,z) \ x) \ ((y \ x) * u). (T(x,y) \ z) \ ((x \ z) * u) = z \ ((K(x,y) * z) * u). (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (T(x,z) / y) \ ((K(x,z) * (T(x,z) / y)) * u). L(a(x,y,z),a(x,y,z),x \ ((x * y) * z)) != u | L(a(x,y,z),a(x,y,z),y * z) = u. L(a(x,y,z),a(x,y,z),y * z) = ((x \ ((x * y) * z)) \ (y * z)) \ 1. (x * (a(y,y,z) * K(u,w))) * a(x,u,1) = (x * K(u,w)) * a(y,y,z). (x * (a(y,y,z) * K(u,w))) * 1 = (x * K(u,w)) * a(y,y,z). (x * K(y,z)) * a(u,u,w) != v5 | x * (a(u,u,w) * K(y,z)) = v5. x * (a(y,y,z) * K(u,x \ a(z,y,y))) = T(a(y,y,z) * x,u). x * (a(y,y,z) * K(u,x \ a(z,y,y))) = T(x * a(y,y,z),u). ((x \ 1) / y) * ((y \ 1) \ K(z,u)) = (y \ 1) * (((x / y) \ 1) * K(z,u)). ((x \ 1) / y) * (y * K(z,u)) = (y \ 1) * (((x / y) \ 1) * K(z,u)). (x \ 1) * (((y / x) \ 1) * K(z,u)) = ((y \ 1) / x) * (x * K(z,u)). (x \ 1) * ((y / x) \ K(z,u)) = ((y \ 1) / x) * (x * K(z,u)). ((x \ 1) / y) * (y * K(z,u)) = (y \ 1) * ((x / y) \ K(z,u)). ((x \ 1) * ((y / x) \ K(z,u))) \ 1 = (K(u,z) / x) * (((y \ 1) / x) \ 1). ((x \ 1) * ((y / x) \ K(z,u))) \ 1 = (K(u,z) / x) * ((x \ 1) \ y). (K(x,y) * (z / u)) * ((u \ 1) \ 1) = (K(x,y) / u) * ((u \ 1) \ z). (K(x,y) * (z / u)) * u = (K(x,y) / u) * ((u \ 1) \ z). (K(x,y) / z) * ((z \ 1) \ u) = (K(x,y) * (u / z)) * z. (K(x,y) / z) * ((z \ 1) \ u) != w | (z / K(x,y)) \ (z * u) = w. (x / K(y,z)) \ (x * u) = (K(y,z) * (u / x)) * x. (x * K(y,z)) \ (x * u) = (K(z,y) * (u / x)) * x. (x * K(y,z)) \ (x * u) != w | x \ ((x * K(z,y)) * u) = w. x \ ((x * K(y,z)) * u) = (K(y,z) * (u / x)) * x. x * ((K(y,z) * (u / x)) * x) = (x * K(y,z)) * u. a((K(x,y) * (z / u)) * u,w,u) = a((u * K(x,y)) * z,w,u). (x \ ((K(y,z) * (u / (x \ 1))) * (x \ 1))) \ (((x \ 1) * K(y,z)) * u) = a(((x \ 1) * K(y,z)) * u,x,x \ 1). (K(x,y) * z) * (((u \ 1) / (z \ 1)) \ 1) = (K(x,y) * (u / (z \ 1))) * (z \ 1). (K(x,y) * z) * (((z \ u) \ 1) \ 1) = (K(x,y) * (u / (z \ 1))) * (z \ 1). (K(x,y) * (z / (u \ 1))) * (u \ 1) = (K(x,y) * u) * (((u \ z) \ 1) \ 1). (K(x,y) * (z / (u \ 1))) * (u \ 1) = (K(x,y) * u) * (u \ z). x != (K(y,z) * u) * (u \ w) | u * ((K(z,y) * u) \ w) = x. x * ((K(y,z) * x) \ u) = (K(z,y) * (u / (x \ 1))) * (x \ 1). (K(x,y) * (z / (u \ 1))) * (u \ 1) = u * ((K(y,x) * u) \ z). a(x * ((K(y,z) * x) \ u),w,x \ 1) = a(((x \ 1) * K(z,y)) * u,w,x \ 1). a(((x \ 1) * K(y,z)) * u,w,x \ 1) = a(x * ((K(z,y) * x) \ u),w,x \ 1). a((K(x,y) * z) \ u,z,z \ 1) = a(((z \ 1) * K(y,x)) * u,z,z \ 1). a(((x \ 1) * K(y,z)) * u,x,x \ 1) = a((K(z,y) * x) \ u,x,x \ 1). a((x \ K(y,z)) * u,x,x \ 1) = a((K(z,y) * x) \ u,x,x \ 1). a((K(x,y) * z) \ u,z,z \ 1) = a((z \ K(y,x)) * u,z,z \ 1). a((x * K(y,z)) \ u,x,x \ 1) = a((x \ K(z,y)) * u,x,x \ 1). a((K(x,y) * z) \ u,w,w \ 1) != v5 | a(z \ (K(y,x) * u),w,w \ 1) = v5. a(x \ (K(y,z) * u),x,x \ 1) = a((x \ K(y,z)) * u,x,x \ 1). a((x * K(y,z)) \ u,w,w \ 1) != v5 | a(K(z,y) * (x \ u),w,w \ 1) = v5. a(K(x,y) * (z \ u),z,z \ 1) = a((z \ K(x,y)) * u,z,z \ 1). a((x \ K(y,z)) * u,x,x \ 1) = a(K(y,z) * (x \ u),x,x \ 1). a(K(x,y) * z,u,u \ 1) = a((u \ K(x,y)) * z,u,u \ 1). a((x \ K(y,z)) * u,x,x \ 1) = a(K(y,z) * u,x,x \ 1). a((x \ K(y,z)) * u,x,x \ 1) != w | a(K(y,z) * u,x,x \ 1) = w. a(K(x,y) * z,u,u \ 1) = a(K(x,y) * (u \ z),u,u \ 1). a(K(x,y) * (z \ u),z,z \ 1) = a(K(x,y) * u,z,z \ 1). a(x,x,K(y,z) * (x \ u)) = a(K(y,z) * u,x,x \ 1). a(K(x,y) * z,u,u \ 1) = a(u,u,K(x,y) * (u \ z)). a(x,x,K(y,z) * u) = a(x,x,K(y,z) * (x \ u)). a(x,x,K(y,z) * (x \ u)) = a(x,x,K(y,z) * u). a(x,x,K(y,z) * (x \ u)) != w | a(x,x,K(y,z) * u) = w. a(x,x,K(y,z) * u) = a(x,x,K(y,z) * (x * u)). a(x,x,K(y,z) * (x * u)) = a(x,x,K(y,z) * u). L(T(x \ 1,y),z \ 1,u \ 1) \ T(x \ 1,y) != w | T(x,y) \ R(T(x,y),z,u) = w. T(x,y) \ R(T(x,y),z,u) = T((R(x,z,u) \ 1) \ (x \ 1),y). T((R(x,y,z) \ 1) \ (x \ 1),u) = T(x,u) \ R(T(x,u),y,z). T((R(x,y,z) \ x) \ 1,u) = T(x,u) \ R(T(x,u),y,z). T(x \ R(x,y,z),u) = T(x,u) \ R(T(x,u),y,z). T(x,y) \ R(T(x,y),z,u) = T(x \ R(x,z,u),y). T(x,y) \ R(T(x,y),z,u) != w | T(x \ 1,y) * R(T(x,y),z,u) = w. T(x \ 1,y) * R(T(x,y),z,u) = T(x \ R(x,z,u),y). L(T(x \ R(x,y,z),u),T(x,u),y * z) != w | a(T(x,u),y,z) = w. T(x \ 1,y) * R(T(x,y),z,u) != w | T((x \ 1) * R((x \ 1) \ 1,z,u),x * y) = w. T((x \ 1) * R((x \ 1) \ 1,y,z),x * u) = T(x \ R(x,y,z),u). T(x \ R(x,y,z),x * u) = T(x \ R(x,y,z),u). (x * y) * T(x \ R(x,z,u),y) = (x \ R(x,z,u)) * (x * y). x * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * (x * u). (x \ R(x,y,z)) * (x * u) = x * ((x \ R(x,y,z)) * u). a(x \ R(x,y,z),x,u) = (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u). (x * ((x \ R(x,y,z)) * u)) \ (((x \ R(x,y,z)) * x) * u) = a(x \ R(x,y,z),x,u). L(x,y,y \ R(y,z,u)) = ((y \ R(y,z,u)) * y) \ (y * ((y \ R(y,z,u)) * x)). ((x \ R(x,y,z)) * x) \ (x * ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). R(x,y,z) \ (x * ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). x * (R(x,y,z) \ ((x \ R(x,y,z)) * u)) = L(u,x,x \ R(x,y,z)). L(x,y \ R(y,z,u),y) = L(x,y,y \ R(y,z,u)). L(x,(y \ 1) \ (L(y,z,u) \ 1),y \ 1) = L(x,y \ 1,(y \ 1) \ R(y \ 1,z \ 1,u \ 1)). L(x,y \ 1,(y \ 1) \ R(y \ 1,z \ 1,u \ 1)) = L(x,(y \ 1) \ (L(y,z,u) \ 1),y \ 1). L(L(L(x,y,z) \ u,w,v5),L(x,y,z),z * y) != v6 | L((z * (y * x)) \ ((z * y) * u),w,v5) = v6. L((x * (y * z)) \ ((x * y) * z),y,x) = a(L(z,y,x) \ 1,y \ 1,x \ 1). L(a(x,y,z),y,x) = a(L(z,y,x) \ 1,y \ 1,x \ 1). a(L(x,y,z) \ 1,y \ 1,z \ 1) = L(a(z,y,x),y,z). a(L(x,y,z) \ 1,y \ 1,z \ 1) != u | a(z,y,x) = u. (x * ((x \ R(x,y,z)) * u)) \ (R(x,y,z) * u) = a(x \ R(x,y,z),x,u). a(x \ R(x,y,z),x,u) != w | a(x,x \ R(x,y,z),u) = w. (T(x,y) \ z) / a(u,y,K(x \ z,x)) = K(y,x) * L(x \ z,K(y,x),u). (T(x,y) \ z) / a(u,y,K(z,x)) = K(y,x) * L(x \ z,K(y,x),u). (T(x,y) \ z) * a(x,y,K(z,u)) = K(y,x) * L(x \ z,K(y,x),u). K(x,y) * L(y \ z,K(x,y),u) = (T(y,x) \ z) * a(y,x,K(z,u)). x != (y \ z) * a(u,w,K(z,v5)) | y \ L(z,K(w,u),v5) = x. T(x,y) \ L(z,K(y,x),u) = K(y,x) * L(x \ z,K(y,x),u). K(x,y) * L(y \ z,K(x,y),u) = T(y,x) \ L(z,K(x,y),u). K(x,y) * L(y \ z,y,K(x,u)) = T(y,x) \ L(z,K(x,y),u). K(x,y) * L(y \ z,y,K(x,u)) = T(y,x) \ L(z,y,K(x,u)). K(x,y) * L(z,y,K(x,u)) != w | L(K(x,y) * z,x,K(u,y)) = w. L(K(x,y) * (y \ z),x,K(u,y)) = T(y,x) \ L(z,y,K(x,u)). L(T(x,y) \ z,y,K(u,x)) = T(x,y) \ L(z,x,K(y,u)). x != T(y,z) \ L(K(y,z) * u,y,K(z,w)) | y \ L(u,w,K(y,z)) = x. x \ L(y,z,K(x,u)) = L(T(x,u) \ (K(x,u) * y),u,K(z,x)). L(T(x,y) \ (K(x,y) * z),y,K(u,x)) = x \ L(z,u,K(x,y)). L(x \ y,z,K(u,x)) = x \ L(y,u,K(x,z)). L(L(x \ y,z,K(u,x)),x,z * K(x,u)) = L(x \ y,T(x,u),z). L(T(L(x,y,z) \ u,w),L(x,y,z),z * y) != v5 | T((z * (y * x)) \ ((z * y) * u),w) = v5. T((x * (y * z)) \ ((x * y) * z),u) = T((x * (y * z)) \ ((x * y) * z),z \ u). T((x * (y * z)) \ ((x * y) * z),z \ u) = T((x * (y * z)) \ ((x * y) * z),u). T((x * (y * z)) \ ((x * y) * z),z \ u) = T(a(x,y,z),u). T(a(x,y,z),z \ u) = T(a(x,y,z),u). R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = ((z \ K(y,x)) * u) \ 1. x != ((y \ K(z,u)) * w) \ 1 | (w \ 1) * (K(u,z) * y) = x. (x \ 1) * (K(y,z) * u) = R(((K(y,z) / (u \ 1)) \ x) \ 1,u,((u \ 1) \ 1) \ 1). R(((K(x,y) / (z \ 1)) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (u \ 1) * (K(x,y) * z). R(((K(x,y) * z) \ u) \ 1,z,((z \ 1) \ 1) \ 1) = (u \ 1) * (K(x,y) * z). R(x,y,(z \ 1) \ 1) != u | R(x,y,z) = u. R(((K(x,y) * z) \ u) \ 1,z,z \ 1) = (u \ 1) * (K(x,y) * z). L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = L(a(x,x,y),x \ 1,z) \ 1. L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(x,x,L(y,x \ 1,z)) \ 1. L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(x,x,L(y,x,z \ 1)) \ 1. x != a(y,y,z) \ 1 | a(z,y,y) = x. a(L(x,y,z \ 1),y,y) = L((y \ 1) \ L(y \ 1,y,x),y \ 1,z). L((x \ 1) \ L(x \ 1,x,y),x \ 1,z) = a(L(y,x,z \ 1),x,x). x * a(L(y,z,x \ 1),z,z) = (x / (z \ 1)) * L(z \ 1,z,y). (x / (y \ 1)) * L(y \ 1,y,z) = x * a(L(z,y,x \ 1),y,y). (x / (y \ 1)) * L(y \ 1,y,z) = x * a(z,y,y). (x / (y \ 1)) * L(y \ 1,y,z) != u | L(y \ 1,y,z) * ((y \ 1) \ x) = u. L(x \ 1,x,y) * ((x \ 1) \ z) = z * a(y,x,x). (x \ 1) * (y * a(z,x,x)) = L(x \ 1,x,z) * y. x * y != z | (x \ a(y,x,x)) \ y = z. ((x \ 1) \ a(y * a(z,x,x),x \ 1,x \ 1)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = (T(x,z) / y) \ ((T(T(x,z),z) / y) * u). x != (y / z) \ ((T(y,u) / z) * w) | z * ((z * K(u,y)) \ w) = x. x * ((x * K(y,T(z,y))) \ u) = (z \ (z / x)) \ ((z \ (T(z,y) / x)) * u). (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = y * ((y * K(z,T(x,z))) \ u). (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) = y * ((y * K(z,x)) \ u). (x \ (x / y)) \ ((x \ (T(x,z) / y)) * u) != w | (y * x) * (((y * x) * K(z,x)) \ u) = w. (x * y) * (((x * y) * K(z,y)) \ u) = x * ((x * K(z,y)) \ u). (x * y) * (((x * y) * K(z,y)) \ u) != w | (x * T(y,z)) * ((x * y) \ u) = w. (x * T(y,z)) * ((x * y) \ u) = x * ((x * K(z,y)) \ u). (x * T(y,z)) * L(u,y,x) = x * ((x * K(z,y)) \ (x * (y * u))). x * ((x * K(y,z)) \ (x * (z * u))) = (x * T(z,y)) * L(u,z,x). x * ((K(y,z) * ((y * u) / x)) * x) = (x * T(y,z)) * L(u,y,x). x * ((K(y,z) * (u / x)) * x) != w | (x * K(y,z)) * u = w. (x * K(y,z)) * (y * u) = (x * T(y,z)) * L(u,y,x). (x * T(y,z)) * L(u,y,x) = (x * K(y,z)) * (y * u). (x * T(y,z)) \ ((x * K(y,z)) * (y * u)) = L(u,y,x). L(x,y,z * K(y,u)) = L(x,y,z). L(L(x \ y,z,K(u,x)),x,z * K(x,u)) != w | L(x \ y,T(x,u),z) = w. L(x \ y,T(x,z),u) = L(L(x \ y,u,K(z,x)),x,u). L(L(x \ y,z,K(u,x)),x,z) = L(x \ y,T(x,u),z). L(x,y,z \ u) = L(x,y,z \ T(u,y)). L(x,y,z \ T(u,y)) = L(x,y,z \ u). L(x,y,(y * x) \ T(z,y)) != u | L(x,y,R(x \ (y \ z),x,y)) = u. L(x,y,R(x \ (y \ z),x,y)) = L(x,y,(y * x) \ z). L(x \ y,x,T(z,u)) = L(x \ y,T(x,u),z). L(x \ y,T(x,z),u) = L(x \ y,x,T(u,z)). L(x,T(y,z),u) = L(y \ (y * x),y,T(u,z)). L(x \ (x * y),x,T(z,u)) = L(y,T(x,u),z). L(x,y,T(z,u)) = L(x,T(y,u),z). L(x,T(y,z),u) = L(x,y,T(u,z)). a(T(x,y),z,u) = L(T(x \ R(x,z,u),y),x,T(z * u,y)). L(T(x \ R(x,y,z),u),x,T(y * z,u)) = a(T(x,u),y,z). L(T(x \ R(x,y,z),u),x,T(w,v5)) != v6 | L(T(x \ R(x,y,z),u),x,w) = v6. L(T(x \ R(x,y,z),u),x,y * z) = a(T(x,u),y,z). L(T(x \ R(x,y,z),u),x,y * z) != w | T(a(x,y,z),u) = w. T(a(x,y,z),u) = a(T(x,u),y,z). a(T(x,y),z,u) = T(a(x,z,u),y). x != T(a(y,z,u),u \ w) | T(a(y,z,u),w) = x. T(a(x,y,z),u) = a(T(x,z \ u),y,z). a(T(x,y \ z),u,y) = T(a(x,u,y),z). x * a(T(y,x),z,u) = a(y,z,u) * x. T(a(T(x,y \ 1),z,u),L(y,w,v5)) = L(a(x,z,u),w,K(v5,y)). T(a(T(x,y),z,u) * (u * w),a(x,z,u)) = L(u,y,K(x,z)) * (w * a(x,z,u)). x != T(a(y,z,u),w) | a(T(y,w),z,u) = x. a(T(x,y),z,u) = a(T(x,u \ y),z,u). a(T(x,y \ z),u,y) = a(T(x,z),u,y). a(L(x,y,K(z,u)),w,v5) = a(T(x,L(z,u,y) * (z \ v5)),w,v5). a(T(x,L(y,z,u) * (y \ w)),v5,w) = a(L(x,u,K(y,z)),v5,w). T(a(x,y,z),u) != w | a(T(x,u),y,z) = w. a(T(T(x,y \ 1),L(y,z,u)),w,v5) = L(a(x,w,v5),z,K(u,y)). a(L(x,y,K(z,u)),w,v5) = L(a(x,w,v5),y,K(z,u)). (x * y) * a(T(z,u),w,x) = L(x,u,K(z,w)) * (y * a(z,w,x)). L(x,y,K(z,u)) * (w * a(z,u,x)) = (x * w) * a(T(z,y),u,x). x != (y * z) * a(u,w,y) | y * (z * a(u,w,y)) = x. x * (y * a(T(z,u),w,x)) = L(x,u,K(z,w)) * (y * a(z,w,x)). L(x,y,K(z,u)) * (w * a(z,u,x)) = x * (w * a(T(z,y),u,x)). L(x,y,K(z,u)) * (y * a(z,u,x)) != w | L(a(z,u,x),v5,x) * (x * y) = w. L(a(x,y,z),u,z) * (z * w) = z * (w * a(T(x,w),y,z)). L(a(x,y,z),u,z) * (z * w) = z * (a(x,y,z) * w). a(x,y,z) * (z * u) = z * (a(x,y,z) * u). a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u). ((x \ 1) \ a(y * a(z,x,x),x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. K(x,L(y,z,a(u,w,w \ v5))) != v6 | K(x,L(y,z,a(w,v5,u))) = v6. K(x,L((y * a(z,z \ 1,u)) \ w,u,a(z,1,y))) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). K(x,L((y * a(z,z \ 1,u)) \ w,u,1)) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). K(x,(y * a(z,z \ 1,u)) \ w) = K(x,a(u,z,(u * z) \ 1) * (y \ w)). K(x,a(y,z,(y * z) \ 1) * (u \ w)) = K(x,(u * a(z,z \ 1,y)) \ w). K(x,a(y,y,z) * (u \ w)) = K(x,(u * a(y,y \ 1,z)) \ w). K(x,(y * a(z,z \ 1,u)) \ w) = K(x,a(z,z,u) * (y \ w)). K(x,(y * a(z,z,u \ 1)) \ w) = K(x,a(z,z,u) * (y \ w)). K(x,y \ (a(z,z,u \ 1) \ w)) = K(x,a(z,z,u) * (y \ w)). K(x,y \ (a(z,u,u) \ w)) = K(x,a(u,u,z) * (y \ w)). L((x * y) \ ((x * (y * z)) / z),((x * y) * z) \ (x * (y * z)),(x * y) * z) = a(x,y,z) \ 1. x / L(a(y,y,z),y,L(y,y,T(z * y,u)) \ x) = (x / L(y,y,T(z * y,u))) * y. x / L(a(y,y,z),y,L(y,y,z * y) \ x) = (x / L(y,y,T(z * y,u))) * y. x / L(a(y,y,z),y,L(y,y,z) \ x) = (x / L(y,y,T(z * y,u))) * y. x / a(y,y,L(z,y,L(y,y,z) \ x)) = (x / L(y,y,T(z * y,u))) * y. a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,T(y * x,u))) * x. a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,y * x)) * x. a(x,x,L(y,x,L(x,x,y) \ z)) \ z = (z / L(x,x,y)) * x. a(x,x,L(y,x,L(x,x,y) \ z)) \ z != u | x * (L(x,x,y) \ z) = u. x * (L(x,x,y) \ z) = (z / L(x,x,y)) * x. (x / L(y,y,z)) * y = y * (L(y,y,z) \ x). (x / L(y,y,z)) * y != u | a(z,y,y) * x = u. a(x,y,y) * z = y * (L(y,y,x) \ z). x * (L(x,x,y) \ z) = a(y,x,x) * z. L(x,x,y) \ z = a(y,x,x) * (x \ z). a(x,y,y) * (y \ z) = L(y,y,x) \ z. x * (L(x,x,y \ x) \ z) != u | a(y,x,x) \ z = u. a(x,y,y) \ z = a(x \ y,y,y) * z. a(x \ y,y,y) * z = a(x,y,y) \ z. (x \ y) * a(z,x,x) = L(x,x,z) \ y. a(x,x \ y,x \ y) * ((x \ y) \ z) = (y \ (x * ((x \ y) * (x \ y)))) \ z. (L(x,x,y) \ z) * y = a(y,x,x) * ((x \ z) * y). a(x,y,y) * ((y \ z) * x) = (L(y,y,x) \ z) * x. a(x,x,y) * (x \ z) = L(x,x,y \ x) \ z. L(x,x,y \ x) \ z = a(x,x,y) * (x \ z). a(x,x,y) * z = a(y,x,x) \ z. a(x,y,y) \ z = a(y,y,x) * z. x / a(y,z,z) = a(z,z,y) * x. x = a(y,y,z) * (a(z,y,y) * x). a(x,x,y) * (a(y,x,x) * z) = z. a(x,y,y) * z = a(y,y,x) \ z. a(x,x,y) \ z = a(y,x,x) * z. a(L(x,x,L(x,y,y) \ z),y,y) \ z != u | x * (L(x,y,y) \ z) = u. x * (L(x,y,y) \ z) = a(y,y,L(x,x,L(x,y,y) \ z)) * z. a(x,x,L(y,y,L(y,x,x) \ z)) * z = y * (L(y,x,x) \ z). (a(x,x,y) * z) * a(y,x,x) = z. a(a(x,x,y) * z,a(y,x,x),a(y,x,x) \ u) = u \ ((z / a(y,x,x)) \ (z * (a(y,x,x) \ u))). a(a(x,x,y) * z,a(y,x,x),a(y,x,x) \ u) = ((z / a(y,x,x)) * u) \ (z * (a(y,x,x) \ u)). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(z \ (a(y,x,x) \ z),u,w). a((x * y) \ (a(z,z,u) * (x * y)),x,y) = (u * (z * ((u * z) \ 1))) * R(a(u,z,(u * z) \ 1),x,y). a(x,y,y) * (a(z,z,u) * K(w,a(y,y,x) * a(u,z,z))) = T(a(x,y,y) * a(z,z,u),w). K(x,y \ (a(z,z,u) * w)) = K(x,a(z,z,u) * (y \ w)). x = a(y,y,z) * (x * a(z,y,y)). a(x,x,y) * (z * a(y,x,x)) = z. ((x * y) \ (a(z,z,u) * (x * (y * a(u,z,z))))) \ 1 = a(a(u,z,z) \ 1,y \ 1,x \ 1). a(x,x,y) \ z != u | a(y,x,x) * z = u. a(x,y,y) \ z != u | a(y,y,x) * z = u. x / a(y,y,z) = a(z,y,y) * x. a((x * y) \ (a(z,u,u) * (x * y)),x,y) = R(a(u,u,z) \ 1,x,y) * a(u,u,z). L(a(x,y,y) * a(y,y,L(x,z,u)),w,a(y,y,x)) = a(y,y,x) \ a(y,y,L(x,z,u)). (x * R(x \ (a(y,z,z) * x),u,w)) * a(z,z,y) = (a(z,z,y) * R(a(z,z,y) \ 1,u,w)) * x. T(x,L(y,z,z \ 1) * (a(y,z,z) * u)) = T(x,y * u). a(L(x,x,y) \ z,u,x) = a(z * a(y,x,x),u,x). a(x,y,y) = a(x * a(z,y,y),y,y). a(x * a(y,z,z),z,z) = a(x,z,z). ((x \ 1) \ a(y,x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. K(x,y \ (z * a(u,u,w))) = K(x,a(u,u,w) * (y \ z)). T(x,a(y,z,z) * (L(y,z,z \ 1) * u)) = T(x,y * u). a(x,x,L(y,y,z)) * z = y * (L(y,x,x) \ z). a(x,x,y) * a(y,z,u) = y * (L(y,x,x) \ a(y,z,u)). x * (L(x,y,y) \ a(x,z,u)) = a(y,y,x) * a(x,z,u). a(x,x,L(L(y,z,u) \ 1,L(y,z,u) \ 1,L(y \ 1,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). x \ (a(y,y,x) * a(x,z,u)) = L(x,y,y) \ a(x,z,u). (x * a(y,x,x)) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. L(x,x,y \ x) \ (y * a(z,x,x)) = L(x \ 1,x,z) * y. L(x,x,y \ x) \ z != u | a(x,x,y) * (x \ z) = u. a(x,x,y) * (x \ (y * a(z,x,x))) = L(x \ 1,x,z) * y. a(x,x,y) * ((x \ y) * a(z,x,x)) = L(x \ 1,x,z) * y. a(x,x,y) * (L(x,x,z) \ y) = L(x \ 1,x,z) * y. a(x,x \ y,y) * ((y \ x) \ z) = (x \ (y * ((y \ x) * (y \ x)))) \ z. (x \ (y * ((y \ x) * (y \ x)))) \ z = a(x,x \ y,y) * ((y \ x) \ z). (x \ (x * ((x \ y) \ 1))) \ z = a(x,x \ y,y) * ((y \ x) \ z). a(x,x \ y,y) * ((y \ x) \ z) = (x \ (x * ((x \ y) \ 1))) \ z. a(x,x \ y,y) * ((y \ x) \ z) = ((x \ y) \ 1) \ z. a(x,x \ y,y) * ((y \ x) \ z) != u | L(x \ y,y \ x,z) * z = u. L(x \ y,y \ x,z) * z = ((x \ y) \ 1) \ z. x * T(y,z) != u \ T(y,z) | L(u \ 1,u,y) = x. L(((x \ y) \ 1) \ 1,(x \ y) \ 1,z) = L(x \ y,y \ x,T(z,u)). L(x \ y,(x \ y) \ 1,z) = L(x \ y,y \ x,T(z,u)). L(x \ y,x \ y,z \ 1) = L(x \ y,y \ x,T(z,u)). L(x \ y,y \ x,T(z,u)) = L(x \ y,x \ y,z \ 1). L(x \ y,y \ x,z) = L(x \ y,x \ y,z \ 1). L(x \ y,x \ y,z \ 1) = L(x \ y,y \ x,z). L(x \ y,x \ y,L(z \ 1,u,u)) = L(x \ y,y \ x,L(z,u,u)). a(T(a(x,y,y),z * u),z,u) = R(a(y,y,x) \ 1,z,u) * a(y,y,x). a(T(x,y * z),y,z) != u | a(x,y,z) = u. a(a(x,y,y),z,u) = R(a(y,y,x) \ 1,z,u) * a(y,y,x). R(a(x,x,y) \ 1,z,u) * a(x,x,y) = a(a(y,x,x),z,u). R(a(x,y,y),z,u) * a(y,y,x) = a(a(x,y,y),z,u). x != a(y,y,z) \ u | a(z,y,y) * u = x. a(x,y,y) * a(y,y,L(x,z,u)) = L(a(x,y,y) * a(y,y,L(x,z,u)),w,a(y,y,x)). L(a(x,y,y) * a(y,y,L(x,z,u)),w,a(y,y,x)) = a(x,y,y) * a(y,y,L(x,z,u)). R((x / a(y,y,L(z,u,w))) / a(z,y,y),a(z,y,y),a(y,y,L(z,u,w))) = x / L(a(z,y,y) * a(y,y,L(z,u,w)),v5,a(y,y,z)). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) != v5 | a(x,x,y) * (z * (a(y,x,x) * a(x,x,L(y,u,w)))) = v5. x / L(T(a(y,z,z) * a(z,z,L(y,u,w)),x),v5,a(z,z,y)) = (a(y,z,z) * a(z,z,L(y,u,w))) \ x. (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(z \ (a(x,x,y) * z),u,w). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(T(a(x,x,y),z),u,w). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * R(a(x,x,y),u,w). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,R(y,u,w))) = z * a(x,x,R(y,u,w)). L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = (y * a(y,z,u)) \ (x \ ((x * y) * a(y,z,u))). L(x,y \ 1,(y \ 1) \ R(y \ 1,z \ 1,u \ 1)) = L(x,L(y,z,u) \ y,y \ 1). L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) = L(x,L(y,z,u) \ y,y \ 1). L(x,y \ 1,L(y,z,u) \ y) = L(x,L(y,z,u) \ y,y \ 1). L(x,L(y,z,u) \ y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). L((x * y) \ ((x * (y * z)) / z),(x * y) \ ((x * (y * z)) / z),(x * y) * z) = a(x,y,z) \ 1. a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((z / a(y,x,x)) \ (z * (a(y,x,x) \ u))). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((z / a(y,x,x)) * u) \ (z * (a(y,x,x) \ u)). (x * R(T(a(y,z,z),x),u,w)) * a(z,z,y) = (a(z,z,y) * R(a(z,z,y) \ 1,u,w)) * x. (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * R(T(a(y,x,x),w),z,u)) * a(x,x,y). (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * R(a(y,x,x),z,u)) * a(x,x,y). x != (y * z) \ (u \ ((u * y) * z)) | a(u,y,z) = x. a(x,y,a(y,z,u)) = L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)). L(x \ L(x,y,a(y,z,u)),x,y * a(y,z,u)) = a(x,y,a(y,z,u)). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((a(x,x,y) * z) \ (z * (a(y,x,x) \ u))). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((a(x,x,y) * z) * u) \ (z * (a(y,x,x) \ u)). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ ((a(x,x,y) * z) \ (z * (a(x,x,y) * u))). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(K(z,a(x,x,y)) * u,a(x,x,y),z). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(a(z,x,K(y,x)) * u,a(x,x,y),z). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(1 * u,a(x,x,y),z). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = u \ L(u,a(x,x,y),z). a(T(a(x,x,y),z * u),z,u) = (y * (x * ((y * x) \ 1))) * R(a(y,x,(y * x) \ 1),z,u). a(a(x,x,y),z,u) = (y * (x * ((y * x) \ 1))) * R(a(y,x,(y * x) \ 1),z,u). (x * (y * ((x * y) \ 1))) * R(a(x,y,(x * y) \ 1),z,u) = a(a(y,y,x),z,u). a(x,y,y) * R(a(x,y,(x * y) \ 1),z,u) = a(a(y,y,x),z,u). a(x,y,y) * R(a(y,y,x),z,u) = a(a(y,y,x),z,u). R(a(x,x,y),z,u) * a(y,x,x) = a(a(x,x,y),z,u). a(a(x,x,y),z,u) \ 1 = (R(a(x,x,y),z,u) \ 1) * a(x,x,y). (R(a(x,x,y),z,u) \ 1) * a(x,x,y) = a(a(x,x,y),z,u) \ 1. L(a(a(x,x,y),z,u),w,v5) = a((z * u) \ (L(a(y,x,x),w,v5) \ (z * u)),z,u). a((x * y) \ (L(a(z,u,u),w,v5) \ (x * y)),x,y) = L(a(a(u,u,z),x,y),w,v5). ((x * K(y,z)) * u) \ ((x * K(y,z)) * (u * z)) = L(z,K(y,z) * u,L(x,K(y,z),u * z)). L(x,K(y,x) * z,L(u,K(y,x),z * x)) = ((u * K(y,x)) * z) \ ((u * K(y,x)) * (z * x)). L(x,y,z * K(u,x)) = L(x,K(u,x) * y,L(z,K(u,x),y * x)). L(x,K(y,x) * z,L(u,K(y,x),z * x)) = L(x,z,u * K(y,x)). L(x,K(y,x) * z,L(u,K(x,z),y)) = L(x,z,u * K(y,x)). L(x,K(y,x) * z,L(u,z,K(x,y))) = L(x,z,u * K(y,x)). L(x,y,L(z,u,K(x,w))) != v5 | L(x,y,z) = v5. L(x,K(y,x) * z,u) = L(x,z,u * K(y,x)). L(x,K(y,x) * z,u) != w | L(x,z,u) = w. L(x,y,z) = L(x,y,z * K(u,x)). L(x,y,z * K(u,x)) = L(x,y,z). L(x,y,z \ T(u,x)) = L(x,y,z \ u). L(x,x,(y \ T(x,z)) \ 1) * u = L(x,x,y) * u. L(x,y,z \ (x \ u)) = L(x,y,z \ (u / x)). L(x,y,z \ (u / x)) = L(x,y,z \ (x \ u)). L(x,x,y \ 1) * (x \ z) != u | a(y,x,x) * z = u. a(x \ T(y,z),y,y) * u = L(y,y,x) * (y \ u). a(x \ y,y,y) * z = L(y,y,x) * (y \ z). a(x,x,y) * z = L(x,x,y) * (x \ z). L(x,x,y) * (x \ z) = a(x,x,y) * z. x * (a(x,x,y) * z) = L(x,x,y) * z. x \ (a(y,y,z) * x) = a(y,y,L(z,y,x)). a(x,x,L(y,x,z)) = z \ (a(x,x,y) * z). x != y | y / 1 = x. (L(x,x,y) * z) / 1 = x * (a(x,x,y) * z). T(a(x,x,y),z) = a(x,x,L(y,x,z)). a(x,x,L(y,x,z)) = T(a(x,x,y),z). x != T(a(y,y,z),u) | a(y,y,z) = x. a(x,x,y) = a(x,x,L(y,x,z)). a(x,x,L(y,x,z)) = a(x,x,y). a(x,x,L(L(y,x,z),u,w)) = a(x,x,L(y,u,w)). x * a(x,x,L(y,x,z)) = L(x,x,y). a(x,a(x,x,y),z) = 1. L(x,a(y,y,z),y) = x. L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ 1,x,v5) * L(L(x,x,v5),y,z). x != L(y \ 1,y,z) * L(L(y,y,z),u,w) | L(y \ L(y,u,w),y,z) = x. L(x \ L(x,y,z),x,u) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,w,v5) \ u). L((x \ 1) * L((x \ 1) \ 1,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,v5). L(x \ L(x,y,z),x,L(x,u,w) \ v5) = L(x \ L(x,y,z),x,v5). x / L(y \ L(y,z,u),y,x) = (x / L(y,z,u)) * y. x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = a(x,x \ L(x,y,z),L(x,w,v5) \ u). a(x,x \ L(x,y,z),L(x,u,w) \ v5) = x * (L(x,y,z) \ L(x \ L(x,y,z),x,v5)). x / ((x / L(y,z,u)) * y) = x * (L(y \ L(y,z,u),y,x) / x). x * (L(y \ L(y,z,u),y,x) / x) = x / ((x / L(y,z,u)) * y). ((x / L(y,z,u)) * y) / x = x / (x * L(y \ L(y,z,u),y,x)). x / (x * L(y \ L(y,z,u),y,x)) = ((x / L(y,z,u)) * y) / x. x \ ((x / L(y,z,u)) * y) = ((x / y) * L(y,z,u)) \ x. ((x / y) * L(y,z,u)) \ x = x \ ((x / L(y,z,u)) * y). ((x / y) * L(y,z,u)) \ x != w | (x / y) \ (x / L(y,z,u)) = w. (x / y) \ (x / L(y,z,u)) = x \ ((x / L(y,z,u)) * y). T(x \ ((x / L(y,z,u)) * y),x) = (y \ x) \ (L(y,z,u) \ x). (x / y) \ (x / L(y,z,T(u,w))) != v5 | T((x / y) \ (x / L(y,z,u)),w) = v5. T((x / y) \ (x / L(y,z,u)),w) = x \ ((x / L(y,z,T(u,w))) * y). x \ (y * (L(y,z,u) \ x)) = (y \ x) \ (L(y,z,u) \ x). (x \ y) \ (L(x,z,u) \ y) = y \ (x * (L(x,z,u) \ y)). x != ((y \ 1) * z) \ (a(y,y,z) * u) | a(y,y,z) * (((y \ 1) * z) \ u) = x. a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (a(x,x,y) \ ((x \ 1) * y)) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). (a(x,x,y) \ ((x \ 1) * y)) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)) = a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))). L(x * ((y \ L(y,z,u)) / x),y,x) = x / ((x / L(y,z,u)) * y). x / ((x / y) * L(y,z,u)) = ((x / L(y,z,u)) * y) / x. ((x / L(y,z,u)) * y) / x = x / ((x / y) * L(y,z,u)). (((x * y) / L(z,y,x)) * z) / (x * y) = (x * y) / ((x * (y * z)) / z). L(x * ((y \ L(y,z,u)) / x),y,x) != w | (x * L(y,z,u)) / (x * y) = w. (x * L(y,z,u)) / (x * y) = x / ((x / L(y,z,u)) * y). (x * L(y,z,T(u,x))) / (x * y) != w | x \ ((x / y) * L(y,z,u)) = w. x \ ((x / y) * L(y,z,u)) = x / ((x / L(y,z,T(u,x))) * y). x / ((x / L(y,z,T(u,x))) * y) = x \ ((x / y) * L(y,z,u)). T(x \ ((x / L(y,z,u)) * y),w) = x \ ((x / L(y,z,T(u,w))) * y). x * (L(x,y,z) \ u) = (u / L(x,y,T(z,u))) * x. (x / L(y,z,T(u,x))) * y = y * (L(y,z,u) \ x). x / (y * (L(y,z,u) \ x)) = x \ ((x / y) * L(y,z,u)). T(x \ ((x / y) * L(y,x,z)),u) \ x = x * T(a(z,x,L(y,x,z)),u). ((x * y) * a(x,y,z)) / (x * y) = (x * y) / ((x * (y * z)) / z). (x * y) * (a(x,y,z) / (x * y)) = (x * y) / ((x * (y * z)) / z). (x * y) / ((x * (y * z)) / z) = (x * y) * (a(x,y,z) / (x * y)). (x * y) / ((x * (y * z)) / z) = (x * y) * ((x * y) \ a(x,y,z)). a(x,y,z) = (x * y) / ((x * (y * z)) / z). (x * y) / ((x * (y * z)) / z) != u | a(x,y,z) = u. a(x,y,z) \ (x * y) = (x * (y * z)) / z. a(a(x,y,z),z,u) = (z * a(x,y,z)) / ((a(x,y,z) * (z * u)) / u). (x * a(y,z,x)) / ((a(y,z,x) * (x * u)) / u) = a(a(y,z,x),x,u). x != ((y / z) * (z * u)) / y | L(u,z,z \ y) * K(y,u) = x. L(x,y,y \ x) * K(x,x) = a(x / y,y,x) \ ((x / y) * y). a(x / y,y,x) \ ((x / y) * y) = L(x,y,y \ x) * K(x,x). x \ (a(y,z,u) \ (y * z)) = x \ ((y * (z * u)) / u). a(x,y,L(y,z,u) \ 1) \ (x * y) = (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1). L(x \ L(x,y,z),x,z * y) = (z * y) \ (a(z,y,x) \ (z * y)). T(x * y,(x * (y * z)) / z) = L(x * y,K(z,x),y). x \ (a(y \ z,y,u) \ ((z / y) * y)) = x \ (((z / y) * (y * u)) / u). x != L(y * z,K(u,y),z) | y * z = x. x * y = T(x * y,(x * (y * z)) / z). T(x * y,(x * (y * z)) / z) = x * y. (x * y) / ((x * (y * z)) / z) = ((x * (y * z)) / z) \ (x * y). a(x \ y,x,y) \ ((y / x) * x) = L(y,x,x \ y) * K(y,y). a(x,y,z) = ((x * (y * z)) / z) \ (x * y). (R(x,y,z) * y) / (x * y) = ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y). ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = (R(x,y,z) * y) / (x * y). L(L(x,y,z) \ x,x,y * z) = (((x \ 1) * ((y \ 1) * (z \ 1))) / (z \ 1)) \ ((x \ 1) * (y \ 1)). x != ((y * (z * u)) / u) \ (y * z) | (u \ (y * (z * u))) \ T(y * z,u) = x. (x \ (y * (z * x))) \ T(y * z,x) = a(y,z,x). a(x,y,z) = (z \ (x * (y * z))) \ T(x * y,z). a(x,y,y \ z) = ((x * z) / (y \ z)) \ (x * y). ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ y). a(x,y,y \ T(z,x)) = ((z * x) / (y \ T(z,x))) \ (x * y). ((x * y) / (z \ T(x,y))) \ (y * z) = a(y,z,z \ T(x,y)). a(a(x,y,z),x,y * z) = (((x * y) * z) / (y * z)) \ (a(x,y,z) * x). (((x * y) * z) / (y * z)) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). a(x,y,T(y \ L(y,z,u),w)) = ((x * L(y,z,u)) / (y \ L(y,z,u))) \ (x * y). K(x,L(y,(z * u) \ ((z * (u * w)) / w),v5)) = K(x,L(y,v5,a(z,u,w))). a(x,y,a(z,u,u)) = (a(u,u,z) * (x * (y * a(z,u,u)))) \ (x * y). (a(x,x,y) * (z * (u * a(y,x,x)))) \ (z * u) = a(z,u,a(y,x,x)). ((x * y) / (z \ y)) \ (x * z) = a(x,z,z \ T(y,x)). ((x * y) / (z \ y)) \ (x * z) != u | a(x,z,z \ y) = u. a(x,y,y \ z) = a(x,y,y \ T(z,x)). a(x,y,y \ T(z,x)) = a(x,y,y \ z). a(x,y,y \ T(z,x)) != u | a(x,y,y \ (x \ z)) = u. a(x,y,y \ (x \ z)) = a(x,y,y \ z). a(x,y,y) \ ((x / y) * y) = L(x,y,y \ x) * K(x,x). a(x,y,y) \ x = L(x,y,y \ x) * K(x,x). L(x,y,y \ x) * K(x,x) = a(x,y,y) \ x. x != a(y,z,z) \ u | a(z,z,y) * u = x. a(x,x,y) * y = L(y,x,x \ y) * K(y,y). L(x,y,y \ x) * K(x,x) = a(y,y,x) * x. x != a(y,y,z) * u | u * a(y,y,z) = x. x * a(y,y,x) = L(x,y,y \ x) * K(x,x). L(x,y,y \ x) * K(x,x) = x * a(y,y,x). L(x,y,y \ x) = x * a(y,y,x). x \ L(x,y,y \ x) = a(y,y,x). L(x,y,y \ x) \ (a(y,y,x) * z) = L(x \ z,x,a(y,y,x)). x != a(y,y,z) | a(z,y,y \ 1) = x. a(x,y,y \ 1) = x \ L(x,y,y \ x). x \ L(x,y,y \ x) = a(x,y,y \ 1). x \ y != a(z,z,x) | L(x,z,z \ 1) = y. L(x,y,y \ 1) = L(x,y,y \ x). x \ L(x,y,y \ x) != z | a(x,x \ (y \ x),x * y) = z. a(x,x \ (y \ x),x * y) = a(x,y,y \ 1). a(x,x \ (y \ x),x * y) != z | a(x,y,x * y) \ 1 = z. a(x,y,x * y) \ 1 = a(x,y,y \ 1). (x * y) \ L(x * y,y,x) = a(x,y,y \ 1). a(x,x,y) = (y * x) \ L(y * x,x,y). (x * y) \ L(x * y,y,x) = a(y,y,x). T((a(x,x,y) * z) / L(y,x,x \ y),a(x,x,y) * z) = L(y \ z,y,a(x,x,y)). L(L(x,y,z) \ x,x,z * y) \ 1 = (z * y) \ (a(z,y,x) \ (z * y)). L(L(x,y,z) \ L(L(x,y,z),x,u),L(x,y,z),u * x) = (u * x) \ ((u * x) / a(u,x,L(x,y,z))). (x * a(y,z,x)) / ((x * (a(y,z,x) * u)) / u) = a(a(y,z,x),x,u). a(x,a(y,z,x),u) = a(a(y,z,x),x,u). a(a(x,y,z),z,u) = a(z,a(x,y,z),u). x \ (a(y \ z,y,u) \ z) = x \ (((z / y) * (y * u)) / u). x \ (a(y \ z,y,T(y \ L(y,u,w),v5)) \ z) = x \ (((z / y) * L(y,u,T(w,v5))) / T(y \ L(y,u,w),v5)). R(x,y,z) \ (a(x,y,z) * x) = a(a(x,y,z),x,y * z). R(x,y,z) \ (x * a(x,y,z)) = a(a(x,y,z),x,y * z). x * (R(x,y,z) \ a(x,y,z)) = a(a(x,y,z),x,y * z). a(x,a(x,y,z),y * z) = x * (R(x,y,z) \ a(x,y,z)). x * (R(x,y,z) \ a(x,y,z)) = a(x,a(x,y,z),y * z). T(a(x,a(x,y,z),y * z),u) * R(x,y,z) = x * a(x,y,z). T(x,K(1 / R(x,y,z),u)) * w != v5 | x * w = v5. a(x,a(x,y,z),y * z) * R(x,y,z) = x * a(x,y,z). (a(x,y,z) \ u) * K(a(z \ 1,y \ 1,x \ 1),L(u,x * (y * z),a(x,y,z))) = u / L(a(z \ 1,y \ 1,x \ 1),(x * y) \ ((x * (y * z)) / z),x * (y * z)). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * K(a(y \ 1,z \ 1,u \ 1),L(x,u * (z * y),a(u,z,y))). a(x \ 1,y \ 1,z \ 1) \ 1 = (z * y) \ (a(z,y,x) \ (z * y)). L(a(x,y,z),y,x) \ 1 = (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)). (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)) = L(a(x,y,z),y,x) \ 1. x != (R(y,z,u) * w) / (y * w) | w \ ((w / y) * R(y,z,u)) = x. x \ ((x / y) * R(y,x,z)) = ((R(y,x,z) * (x * z)) / z) \ (R(y,x,z) * x). ((R(x,y,z) * (y * z)) / z) \ (R(x,y,z) * y) = y \ ((y / x) * R(x,y,z)). ((x * (y * z)) / z) \ (x * y) != u | a(x,y,z) = u. a(R(x,y,z),y,z) = y \ ((y / x) * R(x,y,z)). (x * y) \ (R(x,y,z) * y) = y \ ((y / x) * R(x,y,z)). x * a(R(y,x,z),x,z) = (x / y) * R(y,x,z). (x / y) * R(y,x,z) = x * a(R(y,x,z),x,z). R(x,y,z) * (x \ y) = (y / x) * R(x,y,z). x * ((y / x) * R(x,y,z)) = R(x,y,z) * y. x != R(T(y,z),u,w) * z | T(R(y,u,w) * z,z) = x. T(R(x,y,z) * y,y) = T(x,y) * ((y / T(x,y)) * R(T(x,y),y,z)). T(x,y) * ((y / T(x,y)) * R(T(x,y),y,z)) = T(R(x,y,z) * y,y). K(x,y) * (R(x,z,u) * z) = T(x,y) * ((z / x) * R(x,z,u)). T(x,y) * ((z / x) * R(x,z,u)) = K(x,y) * (R(x,z,u) * z). T(x,y) * (z * a(R(x,z,u),z,u)) = K(x,y) * (R(x,z,u) * z). T(x,y) * ((x \ y) * R(T(x,y),y,z)) = T(R(x,y,z) * y,y). T(x,y) * (R(x,y,z) * (x \ y)) = T(R(x,y,z) * y,y). T(x,y) * ((y / x) * R(x,y,z)) = T(R(x,y,z) * y,y). T(x,y) * ((z / x) * R(x,z,u)) != w | K(x,y) * (R(x,z,u) * z) = w. K(x,y) * (R(x,y,z) * y) = T(R(x,y,z) * y,y). x != ((y * z) / (u \ z)) \ (y * u) | a(y,u,u \ z) = x. a(x,y,y \ L(y,z,u)) = a(x,y,T(y \ L(y,z,u),w)). a(x,y,T(y \ L(y,z,u),w)) = a(x,y,y \ L(y,z,u)). T(a(x,x,y) * (z / L(y,x,x \ y)),a(x,x,y) * z) = L(y \ z,y,a(x,x,y)). x != y * (L(y,z,u) \ L(y \ L(y,z,u),y,w)) | a(y,y \ L(y,z,u),w) = x. a(x,x \ L(x,y,z),u) = a(x,x \ L(x,y,z),L(x,w,v5) \ u). a(x,x \ L(x,y,z),L(x,u,w) \ v5) = a(x,x \ L(x,y,z),v5). L(L(x,y,z) \ x,x,y * z) = (((x \ 1) * ((z * y) \ 1)) / (z \ 1)) \ ((x \ 1) * (y \ 1)). L(L(x,y,z) \ x,x,y * z) = ((((z * y) * x) \ 1) / (z \ 1)) \ ((x \ 1) * (y \ 1)). L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ 1) \ ((x \ 1) * (y \ 1)). L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ 1) \ ((y * x) \ 1). ((x * y) / (z \ ((z * x) * y))) \ 1 = L(L(y,x,z) \ y,y,x * z). L(L(x,y,z) \ x,x,y * z) = ((y * x) / (z \ ((z * y) * x))) \ 1. L(L(x,y,z) \ x,x,y * z) = ((z \ ((z * y) * x)) \ (y * x)) \ 1. L(L(x,y,z) \ x,x,y * z) != u | a(x \ 1,y \ 1,z \ 1) = u. a(x \ 1,y \ 1,z \ 1) = ((z \ ((z * y) * x)) \ (y * x)) \ 1. ((x \ ((x * y) * z)) \ (y * z)) \ 1 = a(z \ 1,y \ 1,x \ 1). ((x \ ((x * y) * z)) \ (y * z)) \ 1 != u | L(a(x,y,z),a(x,y,z),y * z) = u. L(a(x,y,z),a(x,y,z),y * z) = a(z \ 1,y \ 1,x \ 1). (x * y) \ ((x * (y * z)) / z) = (x \ ((x * y) * z)) \ (y * z). (x \ ((x * y) * z)) \ (y * z) = (x * y) \ ((x * (y * z)) / z). L(a(x,y,z),a(x / z,y,z),y * z) = a(z \ 1,y \ 1,(x / z) \ 1). (x \ (y * (x * z))) \ (z * T(y,x * z)) = (x * z) \ ((x * (z * T(y,x * z))) / T(y,x * z)). (x * y) \ ((x * (y * T(z,x * y))) / T(z,x * y)) = (x \ (z * (x * y))) \ (y * T(z,x * y)). (x * y) \ (x * L(y,x,z)) = (z * x) \ ((z * (x * L(y,x,z))) / L(y,x,z)). (x * y) \ ((x * (y * L(z,y,x))) / L(z,y,x)) = (y * z) \ (y * L(z,y,x)). (x \ ((x * (x \ L(x,y,z))) * u)) \ ((x \ L(x,y,z)) * u) = (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u). L(a(x,y,z),a(x,y,z),y * z) = a(z \ 1,y \ 1,(x / z) \ 1). L(a(x,y,z),a(x,y,z),y * z) != u | a(z \ 1,y \ 1,x \ 1) = u. a(x \ 1,y \ 1,z \ 1) = a(x \ 1,y \ 1,(z / x) \ 1). a(x \ 1,y \ 1,(z / x) \ 1) = a(x \ 1,y \ 1,z \ 1). a(x \ 1,y,(z / x) \ 1) != u | a(x \ 1,y,(x \ z) \ 1) = u. a(x \ 1,y \ 1,(x \ z) \ 1) = a(x \ 1,y \ 1,z \ 1). a(x \ 1,y \ 1,z \ 1) = a(x \ 1,y \ 1,(z * x) \ 1). a(x \ 1,y \ 1,(z * x) \ 1) = a(x \ 1,y \ 1,z \ 1). x != (y * z) \ (y * L(z,u,w)) | y \ ((y / z) * L(z,u,w)) = x. x \ ((x / y) * L(y,x,z)) = (z * x) \ ((z * (x * L(y,x,z))) / L(y,x,z)). (x * y) \ ((x * (y * L(z,y,x))) / L(z,y,x)) = y \ ((y / z) * L(z,y,x)). x \ ((y * (z * u)) / u) != w | x \ (a(y,z,u) \ (y * z)) = w. (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)) = y \ ((y / z) * L(z,y,x)). (x * y) \ (a(x,y,L(z,y,x)) \ (x * y)) != u | L(a(x,y,z),y,x) \ 1 = u. L(a(x,y,z),y,x) \ 1 = y \ ((y / z) * L(z,y,x)). a(x,y,z) \ 1 = y \ ((y / z) * L(z,y,x)). x \ ((x / y) * L(y,x,z)) = a(z,x,y) \ 1. T(x \ ((x / y) * L(y,x,z)),u) = a(z,x,T(y,u)) \ 1. T(a(x,y,z) \ 1,u) \ y = y * T(a(x,y,L(z,y,x)),u). x * T(a(y,x,L(z,x,y)),u) = T(a(y,x,z) \ 1,u) \ x. T(a(x,y,z) \ 1,u) = a(x,y,T(z,u)) \ 1. T(a(x,y,z),u) = a(x,y,T(z,u)). a(x,y,T(z,u)) = T(a(x,y,z),u). a(T(x,y),z,u) = a(x,z,T(u,y)). x != T(a(y,z,z),u) | a(y,z,z) = x. a(x,y,y) = a(x,y,T(y,z)). a(x,y,T(y,z)) = a(x,y,y). a(x,y,L(y,z,K(u,w))) = a(x,y,y). x != a(y,z,T(z \ L(z,u,w),v5)) | a(y,z,z \ L(z,u,w)) = x. a(x,y,y \ L(y,z,u)) = a(T(x,w),y,y \ L(y,z,u)). a(T(x,y),z,z \ L(z,u,w)) = a(x,z,z \ L(z,u,w)). a(x \ K(y,x),z,z \ L(z,u,w)) = a(x \ 1,z,z \ L(z,u,w)). (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,(L(x \ L(x,y,z),x,u) \ L(x,y,z)) \ x) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. (x * y) \ ((L(z,y,x) * (x * y)) / T(z,x * y)) = (x \ (z * (x * y))) \ (y * T(z,x * y)). (x * y) \ (L(z,y,x) * ((x * y) / T(z,x * y))) = (x \ (z * (x * y))) \ (y * T(z,x * y)). (x * y) \ (L(z,y,x) * (z \ (x * y))) = (x \ (z * (x * y))) \ (y * T(z,x * y)). (x \ (y * (x * z))) \ (z * T(y,x * z)) = (x * z) \ (L(y,z,x) * (y \ (x * z))). (x \ (y * (x * z))) \ (z * T(y,x * z)) = (x * z) \ ((x * (z * y)) / y). (L(x,y,z) \ (u * (L(x,y,z) * x))) \ (x * T(u,L(x,y,z) * x)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). (x \ (y * (x * (x \ L(x,z,u))))) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). L(L(L(x,x,y) \ x,z,u) \ 1,L(x,z,u),y * x) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). L(L(a(x,y,y),z,u) \ 1,L(y,z,u),x * y) = (x * y) \ ((x * y) / a(x,y,L(y,z,u))). L(a(L(x,y,z),u,u) \ 1,L(u,y,z),x * u) = (x * u) \ ((x * u) / a(x,u,L(u,y,z))). L(a(x,x,L(y,z,u)),L(x,z,u),y * x) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = (y * x) \ ((y * x) / a(y,x,L(x,z,u))). a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = (y * x) \ (a(y,x,L(x,z,u)) \ (y * x)). L(a(x,y,z),a(x,y,z),(y * z) * x) = (T((x * y) * z,x) \ ((y * z) * x)) \ 1. L(a(x,y,z),a(x,y,z),(y * z) * x) = ((x * y) \ ((x * (y * z)) / z)) \ 1. x != ((y * z) \ ((y * (z * u)) / u)) \ 1 | a(u \ 1,z \ 1,y \ 1) = x. a(x \ 1,y \ 1,z \ 1) = L(a(z,y,x),a(z,y,x),(y * x) * z). L(a(x,y,z),a(x,y,z),(y * z) * x) = a(z \ 1,y \ 1,x \ 1). L(a(L(x,y,z),u,u),a(u,L(u \ 1,y,z),x),(L(u \ 1,y,z) * x) * u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). L(a(L(x,y,z),u,u),a(u \ 1,L(u,y,z),x),(L(u,y,z) * x) * (u \ 1)) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). x \ (a(y \ z,y,y \ L(y,u,w)) \ z) = x \ (((z / y) * L(y,u,T(w,v5))) / T(y \ L(y,u,w),v5)). (T(x,L(y,z,u) \ 1) * (y \ L(y,z,u))) * y = (y * (y \ L(y,z,u))) * R(x,y,y \ L(y,z,u)). (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x,y,z) \ 1) * (x \ L(x,y,z))) * x. (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x \ 1,y,z)) * (x \ L(x,y,z))) * x. x != (y * (z \ L(z,u,w))) * z | (y * z) * (z \ L(z,u,w)) = x. (T(x,L(y \ 1,z,u)) * y) * (y \ L(y,z,u)) = (y * (y \ L(y,z,u))) * R(x,y,y \ L(y,z,u)). (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (T(u,L(x \ 1,y,z)) * x) * (x \ L(x,y,z)). (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = L(x * u,z,K(y,x)) * (x \ L(x,y,z)). x != L(y,z,K(u,w)) * (w \ L(w,u,z)) | (w \ L(w,u,z)) * y = x. (x \ L(x,y,z)) * (x * u) = (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)). (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = (x \ L(x,y,z)) * (x * u). x != (y \ L(y,z,u)) * (y * w) | y * ((y \ L(y,z,u)) * w) = x. x * ((x \ L(x,y,z)) * u) = (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)). (x * (x \ L(x,y,z))) * R(u,x,x \ L(x,y,z)) = x * ((x \ L(x,y,z)) * u). L(x,y,z) * R(u,x,x \ L(x,y,z)) = x * ((x \ L(x,y,z)) * u). L(x,y \ L(y,z,u),y) = R(x,y,y \ L(y,z,u)). R(x,y,y \ L(y,z,u)) = L(x,y \ L(y,z,u),y). x != L(y,z \ L(z,u,w),z) | L(y,z,z \ L(z,u,w)) = x. L(x,y,y \ L(y,z,u)) = R(x,y,y \ L(y,z,u)). R(x,y,y \ L(y,z,u)) = L(x,y,y \ L(y,z,u)). (x \ 1) \ L(x \ 1,y,y \ L(y,z,u)) = x * R(x \ 1,y,y \ L(y,z,u)). R(x,y \ 1,(y \ L(y,z,u)) \ 1) \ x = x * R(x \ 1,y,y \ L(y,z,u)). (L(x,y,z) * R((x * (x \ L(x,y,z))) \ (u * (x \ L(x,y,z))),x,x \ L(x,y,z))) / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))). R(x,y \ 1,L(y,z,u) \ y) \ x = x * R(x \ 1,y,y \ L(y,z,u)). L(x,y \ 1,(y \ L(y,z,u)) \ 1) = R(x,y \ 1,L(y,z,u) \ y). L(x,y \ 1,L(y,z,u) \ y) = R(x,y \ 1,L(y,z,u) \ y). R(x,y \ 1,L(y,z,u) \ y) = L(x,y \ 1,L(y,z,u) \ y). (x \ (x * ((K(y,z) * x) \ u))) \ (((x \ 1) * K(z,y)) * u) = a(((x \ 1) * K(z,y)) * u,x,x \ 1). ((K(x,y) * z) \ u) \ (((z \ 1) * K(y,x)) * u) = a(((z \ 1) * K(y,x)) * u,z,z \ 1). a(((x \ 1) * K(y,z)) * u,x,x \ 1) = ((K(z,y) * x) \ u) \ (((x \ 1) * K(y,z)) * u). (L(x,y,z) \ (u * (x * L(x,y,z)))) \ (x * T(u,L(x,y,z) * x)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). (L(x,y,z) \ (u * (x * L(x,y,z)))) \ (x * T(u,x * L(x,y,z))) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). (L(x,y,z) \ (u * (x * L(x,y,z)))) \ T(u * x,L(x,y,z)) = (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u). (x \ (y * (z * x))) \ T(y * z,x) != u | a(y,z,x) = u. a(x,y,L(y,z,u)) = (L(y,z,u) * y) \ ((y * (L(y,z,u) * x)) / x). (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u) = a(u,x,L(x,y,z)). (L(x,y,z) * x) \ ((x * (L(x,y,z) * u)) / u) != w | L(u \ L(u,x,L(x,y,z)),u,x * L(x,y,z)) = w. L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u)) = a(x,y,L(y,z,u)). (x * L(x,y,z)) \ ((x * (L(x,y,z) * u)) / u) = a(u,x,L(x,y,z)). (x * a(x,y,L(y,z,u))) * a(y * L(y,z,u),x,L(x \ L(x,y,L(y,z,u)),x,y * L(y,z,u))) = x * (x \ L(x,y,L(y,z,u))). a(x,y,L(y,z,u)) \ 1 = a(x \ 1,L(y,z,u) \ 1,y \ 1). a(x \ 1,L(y,z,u) \ 1,y \ 1) = a(x,y,L(y,z,u)) \ 1. L(a(x,y,L(y,z,u)),(y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x),(y * L(y,z,u)) * x) = a(y,L(y,z,u),x) \ 1. a(L(x,y,z) \ 1,x \ 1,u \ 1) \ 1 = (u * x) \ (((x * L(x,y,z)) \ ((x * (L(x,y,z) * u)) / u)) \ (u * x)). (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = a(L(y,z,u) \ 1,y \ 1,x \ 1) \ 1. (x \ (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u) = (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = (x \ (L(x,y,z) * u)) \ ((x \ L(x,y,z)) * u). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = (L(x,y,z) * (x \ u)) \ ((x \ L(x,y,z)) * u). x != (L(y,z,u) * (y \ w)) \ ((y \ L(y,z,u)) * w) | L(y,z,u) \ (((y \ L(y,z,u)) * w) / (y \ w)) = x. L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)) = (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)). L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),(L(u \ 1,y,z) * x) * u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),L(u \ 1,y,z) * (x * u)) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). a(L(L(x,y,z),a(L(x,y,z),u,u),L(u \ 1,y,z) * (x * u)),u,u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). a(L(x,y,z),u,u) = a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1). a(x \ 1,L(y \ 1,z,u) \ 1,y \ 1) = a(L(x,z,u),y,y). L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),(L(u,y,z) * x) * (u \ 1)) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). L(a(L(x,y,z),u,u),a(L(x,y,z),u,u),L(u,y,z) * (x * (u \ 1))) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). a(L(L(x,y,z),a(L(x,y,z),u,u),L(u,y,z) * (x * (u \ 1))),u,u) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). a(L(x,y,z),u,u) = a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1). a(x \ 1,L(y,z,u) \ 1,(y \ 1) \ 1) = a(L(x,z,u),y,y). L(a(x,y,L(y,z,u)),a(x,y,L(y,z,u)),(y * L(y,z,u)) * x) = a(y,L(y,z,u),x) \ 1. L(a(x,y,z),a(x,y,z),(y * z) * x) != u | a(z \ 1,y \ 1,x \ 1) = u. a(L(x,y,z) \ 1,x \ 1,u \ 1) = a(x,L(x,y,z),u) \ 1. (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = (a(y,L(y,z,u),x) \ 1) \ 1. a(x,L(x,y,z),u) = (u * x) \ (((x * L(x,y,z)) \ ((x * (L(x,y,z) * u)) / u)) \ (u * x)). (x * y) \ (((y * L(y,z,u)) \ ((y * (L(y,z,u) * x)) / x)) \ (x * y)) = a(y,L(y,z,u),x). (x * y) \ (a(x,y,L(y,z,u)) \ (x * y)) = a(y,L(y,z,u),x). (x * y) \ (a(x,y,L(y,z,u)) \ (x * y)) != w | a(y,y,L(L(x,z,u),L(y,z,u),x * y)) = w. a(x,x,L(L(y,z,u),L(x,z,u),y * x)) = a(x,L(x,z,u),y). a(L(L(x,y,z) \ 1,L(u,y,z),x * u),u,u) = a(u,L(u,y,z),x). a(L(L(x,y,z) \ 1,L(u,y,z),x),u,u) = a(u,L(u,y,z),x). a(L(x,y,z) \ 1,u,u) = a(u,L(u,y,z),x). a(x,x,L(y,z,u)) = a(x,L(x,z,u),y). a(x,L(x,y,z),u) = a(x,x,L(u,y,z)). (L(x,y,z) * a(x,x,L(u,y,z))) \ 1 = L(x,y,z) \ (a(x,L(x,y,z),u) \ 1). a(x,x,L(L(y,x,L(x,z,u)),z,u)) \ (x * y) = x * L(y,x,L(x,z,u)). a(x,a(x,x,L(y,z,u)),L(x,z,u) * y) * R(x,L(x,z,u),y) = x * a(x,L(x,z,u),y). L(a(x,x,L(y,z,u)),a(x,L(x,z,u),y),(L(x,z,u) * y) * x) = a(y \ 1,L(x,z,u) \ 1,x \ 1). a(x,x,L(y,z,u)) \ (x * y) = x * L(y,x,L(x,z,u)). a(L(x,y,z),u,u) * (u * x) = u * L(x,u,L(u,y,z)). L(L(x,y,z),x,u) \ 1 = L(x,y,z) \ (a(x,L(x,y,z),u) \ 1). L(x,y,z) \ (a(x,L(x,y,z),u) \ 1) = L(L(x,y,z),x,u) \ 1. L(x,y,z) \ (a(x,x,L(u,y,z)) \ 1) = L(L(x,y,z),x,u) \ 1. L(x,y,z) \ (a(L(u,y,z),x,x) * 1) = L(L(x,y,z),x,u) \ 1. 1 * R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u). R(x,L(x,y,z),u) = x * a(x,L(x,y,z),u). x * a(x,L(x,y,z),u) = R(x,L(x,y,z),u). x * a(x,x,L(y,z,u)) = R(x,L(x,z,u),y). L(x,x,L(y,z,u)) = R(x,L(x,z,u),y). R(x,L(x,y,z),u) = L(x,x,L(u,y,z)). L(x \ 1,L(x,y,z) \ 1,u) = L(x,x,L(u \ 1,y,z)) \ 1. x != L(y,y,z) \ 1 | L(y \ 1,y,z) = x. L(x \ 1,x,L(y \ 1,z,u)) = L(x \ 1,L(x,z,u) \ 1,y). L(x \ 1,L(x,y,z) \ 1,u) = L(x \ 1,x,L(u \ 1,y,z)). L(x * L(x \ 1,x,L(y \ 1,z,u)),z,u) = a(L(x,z,u),L(x,z,u),y). L(a(L(x \ 1,y,z),u,u),y,z) = a(L(u,y,z),L(u,y,z),x). L(a(x,x,L(y,z,u)),z,u) = a(L(x,z,u),L(x,z,u),y). a(L(x,y,z),L(x,y,z),u) = L(a(x,x,L(u,y,z)),y,z). a(x,x,L(L(y,z,u),z,u)) = a(L(x,z,u),L(x,z,u),y). a(L(x,y,z),L(x,y,z),u) = a(x,x,L(L(u,y,z),y,z)). L(x,y,z) \ (a(L(x,y,z),L(x,y,z),u) \ 1) = L(L(x,y,z),x,L(u,y,z)) \ 1. L(L(x,y,z) \ 1,L(x,y,z),u) = L(L(x,y,z),x,L(u,y,z)) \ 1. L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),(L(x,z,u) * y) * x) = a(y \ 1,L(x,z,u) \ 1,x \ 1). L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),L(x,z,u) * (y * x)) = a(y \ 1,L(x,z,u) \ 1,x \ 1). L(x,x,L(y,z,u) * (w * y)) != v5 | L(x,x,y * (w * L(y,z,u))) = v5. L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),x * (y * L(x,z,u))) = a(y \ 1,L(x,z,u) \ 1,x \ 1). a(x,x,L(L(y,z,u),a(x,x,L(y,z,u)),x * (y * L(x,z,u)))) = a(y \ 1,L(x,z,u) \ 1,x \ 1). a(x,x,L(y,z,u)) = a(y \ 1,L(x,z,u) \ 1,x \ 1). a(x \ 1,L(y,z,u) \ 1,y \ 1) = a(y,y,L(x,z,u)). a(x \ 1,L(y,z,u) \ 1,y \ 1) != w | a(x,y,L(y,z,u)) \ 1 = w. a(x,y,L(y,z,u)) \ 1 = a(y,y,L(x,z,u)). a(L(x,y,z),u,u) = a(x,u,L(u,y,z)). a(L(x,y,z),u,u) = a(x,u \ 1,L(u \ 1,y,z)). a(x,y \ 1,L(y \ 1,z,u)) = a(L(x,z,u),y,y). a(L(x,y,z),u,u) != w | a(L(u,y,z),u \ 1,x) = w. a(L(x,y,z),x \ 1,u) = a(u,x,L(x,y,z)). a(L(x,y,z),u,u) != w | a(u \ 1,L(u,y,z),x) = w. a(x \ 1,L(x,y,z),u) = a(u,x,L(x,y,z)). a(L(x,y,z),u,u) != w | a(u,u,L(x \ u,y,z)) = w. a(x,x,L(y \ x,z,u)) = a(y,x,L(x,z,u)). a(L(x,y,z),u,u) != w | a(u,u,L(x \ 1,y,z)) = w. a(x,x,L(y \ 1,z,u)) = a(y,x,L(x,z,u)). a(L(L(x,y,z),u,w),y,y) != v5 | a(L(x,u,w),y,y) = v5. a(L(x,y,z),u,u) = a(L(x,u,w),u,L(u,y,z)). a(L(x,y,z),y,L(y,u,w)) = a(L(x,u,w),y,y). a(L(x,y,z),u,u) != w | L(a(x,u,u),y,z) = w. L(a(x,y,y),z,u) = a(x,y,L(y,z,u)). a(x,y,L(y,z,u)) = L(a(x,y,y),z,u). a(L(x \ 1,y,z),u,u) != w | a(u,u,L(x,y,z)) = w. a(x,x,L(y,z,u)) = a(y \ 1,x,L(x,z,u)). a(x \ 1,y,L(y,z,u)) = a(y,y,L(x,z,u)). (x * y) * a(z,u,L(u,y,x)) = x * (y * a(z,u,u)). a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(y,y,x) * (a(L(x,z,u),y,y) * w). (x * y) * a(z,x,L(x,u,w)) = x * (y * a(L(z,u,w),x,x)). (x \ 1) * (y * a(z,x,L(x,u,w))) = L(x \ 1,x,L(z,u,w)) * y. a(x,y,L(y,z,u)) \ w = a(y,y,L(x,z,u)) * w. (x \ y) * a(z,x,L(x,u,w)) = L(x,x,L(z,u,w)) \ y. a(x,y,L(y,z,u)) \ w != v5 | a(y,y,L(x,z,u)) * w = v5. a(x,y,L(y,z,u)) * (y * x) = y * L(x,y,L(y,z,u)). L(x,y,z) \ (a(u,x,L(x,y,z)) * 1) = L(L(x,y,z),x,u) \ 1. (a(x,x,y) * (a(y,x,L(x,z,u)) * (x \ y))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(y,z,(y * z) \ 1). a((x * y) \ (a(z,u,L(u,w,v5)) \ (x * y)),x,y) = L(a(a(u,u,z),x,y),w,v5). x * a(y,x,L(x,z,u)) = L(x,x,L(y \ x,z,u)). L(x,x,L(y \ x,z,u)) = x * a(y,x,L(x,z,u)). L(a(x,x,L(y,z,u)),a(y \ 1,x,L(x,z,u)),(x * L(x,z,u)) * (y \ 1)) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). x != a(L(y,z,u),w,w) | a(y,w,L(w,z,u)) = x. a(x,y,L(y,z,u)) = a(L(x,y,w),y,L(y,z,u)). a(L(x,y,z),y,L(y,u,w)) = a(x,y,L(y,u,w)). a(x,y,L(y,z,u)) = a(x,y \ 1,L(y \ 1,z,u)). a(x,y \ 1,L(y \ 1,z,u)) = a(x,y,L(y,z,u)). a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z \ 1,u \ 1)). (a(x,y,z) * u) * a(w,x,x) = a(x,y,z) * (u * a(w,x,x)). a(x,y,L(y,z,u)) * w != v5 | w * a(x,y,L(y,z,u)) = v5. (x * y) * a(y,x,L(x,z,u)) = x * L(y,x,L(x,z,u)). (x * y) * a(z,x,L(x,u,w)) = x * (y * a(z,x,L(x,u,w))). x * y != (x * z) * a(z,x,L(x,u,w)) | L(z,x,L(x,u,w)) = y. L(x,y,L(y,z,u)) = x * a(x,y,L(y,z,u)). x * a(x,y,L(y,z,u)) = L(x,y,L(y,z,u)). L(x,y,z) \ a(u,x,L(x,y,z)) = L(L(x,y,z),x,u) \ 1. x * y != L(x,z,u) * (x * w) | L(x,z,u) * w = y. L(x \ 1,x,L(y,z,u)) * w = ((x \ 1) * w) * a(y,x,L(x,z,u)). ((x \ 1) * y) * a(z,x,L(x,u,w)) = L(x \ 1,x,L(z,u,w)) * y. x * a(y,z,L(z,u,w)) != v5 | a(y,z,L(z,u,w)) * x = v5. a(x,y,L(y,z,u)) * ((y \ 1) * w) = L(y \ 1,y,L(x,z,u)) * w. a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(y,y,x) * (a(x,y,L(y,z,u)) * w). a((x * y) \ (a(z,z,L(u,w,v5)) * (x * y)),x,y) = L(a(a(z,z,u),x,y),w,v5). a(T(a(x,x,L(y,z,u)),w * v5),w,v5) = L(a(a(x,x,y),w,v5),z,u). a(a(x,x,L(y,z,u)),w,v5) = L(a(a(x,x,y),w,v5),z,u). x != L(y,y,z \ 1) | L(y,y \ 1,z) = x. L(a(a(x,x,y),z,u),a(a(x,x,y),z,u) \ 1,w) = a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u). a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = L(a(a(x,x,y),z,u),a(a(x,x,y),z,u) \ 1,w). x != L(a(y,z,u),w,u) | a(y,z,u) = x. a(a(x,x,y),z,u) = a(a(x,x,L(y,w,u)),z,u). a(a(x,x,L(y,z,u)),w,u) = a(a(x,x,y),w,u). (a(x,x,y) * ((x \ y) * a(y,x,L(x,z,u)))) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). (a(x,x,y) * (L(x,x,L(y,z,u)) \ y)) / (x \ y) = (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)). (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (a(x,x,y) * (L(x,x,L(y,z,u)) \ y)) / (x \ y). (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (L(x \ 1,x,L(y,z,u)) * y) / (x \ y). x != (L(y \ 1,z,u) * w) / (y \ w) | (w / y) \ (w * L(y \ 1,z,u)) = x. (x / y) \ (x * L(y \ 1,y,L(x,z,u))) = (y \ x) \ (((y \ 1) * x) * L(a(y,y,x) \ 1,z,u)). (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = (y / x) \ (y * L(x \ 1,x,L(y,z,u))). L(a(x,x,L(y,z,u)),a(x,x,L(y,z,u)),(x * L(x,z,u)) * (y \ 1)) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). a(x,x,L(L(y,z,u),a(x,x,L(y,z,u)),(x * L(x,z,u)) * (y \ 1))) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). a(x,x,L(y,z,u)) = a(L(x,z,u) \ 1,x \ 1,(y \ 1) \ 1). a(L(x,y,z) \ 1,x \ 1,(u \ 1) \ 1) = a(x,x,L(u,y,z)). a(L(x,y,z) \ 1,x \ 1,u) = a(x,x,L(u,y,z)). a(L(x,y,z) \ 1,x \ 1,u) != w | a(x \ 1,L(x,y,z) \ 1,u) = w. a(x \ 1,L(x,y,z) \ 1,u) = a(x,x,L(u,y,z)). (x * ((y * (z * ((y * z) \ 1))) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(z,z,y). (x * (a(y,z,z) \ 1)) * L(y * (z * ((y * z) \ 1)),u,w) = (x * a(y,z,L(z,u,w))) * a(z,z,y). (x * a(y,y,z)) * L(z * (y * ((z * y) \ 1)),u,w) = (x * a(z,y,L(y,u,w))) * a(y,y,z). (x * a(y,y,z)) * L(a(z,y,y),u,w) = (x * a(z,y,L(y,u,w))) * a(y,y,z). (x * a(y,z,L(z,u,w))) * a(z,z,y) = (x * a(z,z,y)) * L(a(y,z,z),u,w). (x * a(y,z,L(z,u,w))) * a(z,z,y) = (x * a(z,z,y)) * a(y,z,L(z,u,w)). a(x,x,L(L(y,z,u) \ 1,1 \ L(y,z,u),L(y,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). a(x,x,L(L(y,z,u) \ 1,L(y,z,u),L(y,x,x))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). R((a(L(x,y,z),u,u) * w) / a(x,u,u),a(x,u,u),a(u,u,L(x,y,z))) = w / L(a(x,u,u) * a(u,u,L(x,y,z)),v5,a(u,u,x)). (x * a(x,y,L(y,z,u))) * a(y * L(y,z,u),x,a(x,y,L(y,z,u))) = x * (x \ L(x,y,L(y,z,u))). R(x,y,L(y,z,u)) = x * (x \ L(x,y,L(y,z,u))). x * (x \ L(x,y,L(y,z,u))) = R(x,y,L(y,z,u)). L(x,y,L(y,z,u)) = R(x,y,L(y,z,u)). R(x,y,L(y,z,u)) = L(x,y,L(y,z,u)). (x / y) * R(y,x,L(x,z,u)) = x * a(L(y,x,L(x,z,u)),x,L(x,z,u)). (x / y) * R(y,x,L(x,z,u)) = x * a(y,x,L(x,z,u)). x != y * a(z,y,L(y,u,w)) | L(y,y,L(z \ y,u,w)) = x. L(x,x,L(y \ x,z,u)) = (x / y) * R(y,x,L(x,z,u)). (x / y) * R(y,x,L(x,z,u)) = L(x,x,L(y \ x,z,u)). x * L(y,y,L(x \ y,z,u)) = R(x,y,L(y,z,u)) * y. (x / y) * L(y,x,L(x,z,u)) = L(x,x,L(y \ x,z,u)). x * L(y,y,L(x \ y,z,u)) = L(x,y,L(y,z,u)) * y. R((a(x,y,L(y,z,u)) * w) / a(x,y,y),a(x,y,y),a(y,y,L(x,z,u))) = w / L(a(x,y,y) * a(y,y,L(x,z,u)),v5,a(y,y,x)). R(a(x,x,y) * (a(y,x,L(x,z,u)) * w),a(y,x,x),a(x,x,L(y,z,u))) = w / L(a(y,x,x) * a(x,x,L(y,z,u)),v5,a(x,x,y)). a(x,x,y) * (a(y,x,L(x,z,u)) * w) = w / L(a(y,x,x) * a(x,x,L(y,z,u)),v5,a(x,x,y)). x / L(a(y,z,z) * a(z,z,L(y,u,w)),v5,a(z,z,y)) = a(z,z,y) * (a(y,z,L(z,u,w)) * x). R(((K(x,y) * z) \ u) \ 1,z,z \ 1) \ (((K(x,y) / (z \ 1)) \ u) \ 1) = ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u). ((x \ 1) * (K(y,z) * u)) \ (((K(y,z) / (u \ 1)) \ x) \ 1) = ((K(y,z) / (u \ 1)) \ x) \ (((u \ 1) * K(z,y)) * x). ((x \ 1) * (K(y,z) * u)) \ (((K(y,z) * u) \ x) \ 1) = ((K(y,z) / (u \ 1)) \ x) \ (((u \ 1) * K(z,y)) * x). ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = ((u \ 1) * (K(x,y) * z)) \ (((K(x,y) * z) \ u) \ 1). x != ((y \ 1) * z) \ ((z \ y) \ 1) | a(y,z,z \ 1) = x. a(x,K(y,z) * u,(K(y,z) * u) \ 1) = ((K(y,z) / (u \ 1)) \ x) \ (((u \ 1) * K(z,y)) * x). ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,(K(x,y) * z) \ 1). ((K(x,y) / (z \ 1)) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,z \ K(y,x)). ((K(x,y) * z) \ u) \ (((z \ 1) * K(y,x)) * u) = a(u,K(x,y) * z,z \ K(y,x)). ((K(x,y) * z) \ u) \ (((z \ 1) * K(y,x)) * u) != w | a(((z \ 1) * K(y,x)) * u,z,z \ 1) = w. a(((x \ 1) * K(y,z)) * u,x,x \ 1) = a(u,K(z,y) * x,x \ K(y,z)). a((x \ K(y,z)) * u,x,x \ 1) = a(u,K(z,y) * x,x \ K(y,z)). a(K(x,y) * z,u,u \ 1) = a(z,K(y,x) * u,u \ K(x,y)). a(x,K(y,z) * u,u \ K(z,y)) = a(K(z,y) * x,u,u \ 1). a(x,K(y,z) * u,u \ K(z,y)) != w | a(x,u * K(y,z),K(z,y) / u) = w. a(x,y * K(z,u),K(u,z) / y) = a(K(u,z) * x,y,y \ 1). a(x,x,K(y,z) * u) = a(u,x * K(z,y),K(y,z) / x). a(x,y * K(z,u),K(u,z) / y) = a(y,y,K(u,z) * x). a(x * K(y,z),x * K(y,z),u) = a(x,x,K(z,y) * u). a(x * K(y,z),x * K(y,z),x * ((x * K(z,y)) \ u)) != w | a(x * K(y,z),x * K(y,z),x \ u) = w. a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,K(z,y) * (x * ((x * K(z,y)) \ u))). a(x,x,K(y,z) * (x * ((x * K(y,z)) \ u))) = a(x * K(z,y),x * K(z,y),x \ u). a(x,x,K(y,z) * (x * u)) != w | a(x,x,K(y,z) * u) = w. a(x,x,K(y,z) * ((x * K(y,z)) \ u)) = a(x * K(z,y),x * K(z,y),x \ u). a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,K(z,y) * ((x * K(z,y)) \ u)). x != a(y,y,K(z,u) * ((w * K(z,u)) \ v5)) | a(y,y,w \ v5) = x. a(x,x,x \ y) = a(x * K(z,u),x * K(z,u),x \ y). a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,x \ u). x != a(y,y,y \ z) | a(y,y,z) = x. a(x,x,y) = a(x * K(z,u),x * K(z,u),x \ y). a(x * K(y,z),x * K(y,z),x \ u) = a(x,x,u). a(x * K(y,z),x * K(y,z),u) != w | a(x,x,K(z,y) * u) = w. a(x,x,K(y,z) * (x \ u)) = a(x,x,u). a(x,x,K(y,z) * u) = a(x,x,u). a(x \ K(y,z),u,u) = a(u,u,x). a(x,x,y * K(z,u)) = a(x,x,y). a(x,x,y \ z) = a(x,x,T(y,u) \ z). a(x,x,T(y,z) \ u) = a(x,x,y \ u). L(a(x,x,y),z,u) \ 1 = a(L(y * K(w,v5),z,u),x,x). a(L(x * K(y,z),u,w),v5,v5) = L(a(v5,v5,x),u,w) \ 1. R(a(x,x,y),z,u) \ 1 = a(R(y * K(w,v5),z,u),x,x). a(R(x * K(y,z),u,w),v5,v5) = R(a(v5,v5,x),u,w) \ 1. a(x,x,T(y * z,z) \ ((T(y,z) * u) * z)) != w | a(x,x,R(u,y,z)) = w. a(x,x,R(y,z,u)) = a(x,x,(z * u) \ ((T(z,u) * y) * u)). a(x,x,(y * z) \ ((T(y,z) * u) * z)) = a(x,x,R(u,y,z)). a(L(x,y,z),u,u) = a(L(x * K(w,v5),y,z),u,u). a(L(x * K(y,z),u,w),v5,v5) = a(L(x,u,w),v5,v5). a(L(x * K(y,z),u,w),v5,v5) = a(v5,v5,L(x,u,w)) \ 1. a(x,x,L(y \ K(z,u),w,v5)) = a(L(y,w,v5),x,x). x != R(a(y,y,z),u,w) \ 1 | a(R(z,u,w),y,y) = x. a(R(x,y,z),u,u) = a(R(x * K(w,v5),y,z),u,u). a(R(x * K(y,z),u,w),v5,v5) = a(R(x,u,w),v5,v5). a(R(x * K(y,z),u,w),v5,v5) != v6 | a(v5,v5,R(x \ K(z,y),u,w)) = v6. a(x,x,R(y \ K(z,u),w,v5)) = a(R(y,w,v5),x,x). a(x,x,L(y * K(z,u),w,v5)) = a(x,x,L(y,w,v5)). a(L(x \ K(y,z),u,w),v5,v5) = a(v5,v5,L(x,u,w)). a(x,x,(y * z) \ ((z * u) * y)) = a(x,x,R(u,z,y)). a(x,x,(y * z) \ ((z * u) * y)) != w | a(L(u \ K(y,u * z),z,y),x,x) = w. a(L(x \ K(y,x * z),z,y),u,u) = a(u,u,R(x,z,y)). a(L(x \ K(y,z),u,w),v5,v5) != v6 | a(v5,v5,L(x,u,w)) = v6. a(x,x,L(y,z,u)) = a(x,x,R(y,z,u)). a(x,x,R(y,z,u)) = a(x,x,L(y,z,u)). a(x,x,R(y \ K(z,u),w,v5)) != v6 | a(R(y,w,v5),x,x) = v6. a(R(x,y,z),u,u) = a(u,u,L(x \ K(w,v5),y,z)). a(x,x,L(y \ K(z,u),w,v5)) = a(R(y,w,v5),x,x). a(x,x,R(y,z,u)) != w | R(a(x,x,y),z,u) = w. R(a(x,x,y),z,u) = a(x,x,L(y,z,u)). a(x,x,L(y,z,u)) = R(a(x,x,y),z,u). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) = z * a(x,x,R(y,u,w)). a(x,y,y) * a(y,y,L(x,z,u)) = a(a(y,y,x),z,u). a(x,x,L(y,z,u)) * a(y,x,x) = a(a(x,x,y),z,u). (a(x,x,L(y,z,u)) \ 1) * a(x,x,y) = a(a(x,x,y),z,u) \ 1. a(x,x,L(y \ K(z,u),w,v5)) != v6 | a(L(y,w,v5),x,x) = v6. a(L(x,y,z),u,u) = a(R(x,y,z),u,u). a(R(x,y,z),u,u) = a(L(x,y,z),u,u). a(L(x,y,z \ 1),u,u) = a(L(x,y \ 1,z),u,u). a(L(x,y \ 1,z),u,u) = a(L(x,y,z \ 1),u,u). a(R(x,y,z),u,u) != w | R(a(x,u,u),y,z) = w. R(a(x,y,y),z,u) = a(L(x,z,u),y,y). a(L(x,y,z),u,u) = R(a(x,u,u),y,z). (x * y) * a(L(z,x,y),u,u) = (x * a(z,u,u)) * y. (x * y) * a(L(z,y,x),u,u) = (y * a(z,u,u)) * T(x,y). a(L(x,y,z),u,u) != w | a(x,u,L(u,y,z)) = w. a(x,y,L(y,z,u)) = R(a(x,y,y),z,u). a(x,y,L(y,z,u)) * a(y,y,x) = a(a(x,y,y),z,u). (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * a(y,x,L(x,z,u))) * a(x,x,y). a(x,y,L(y,z \ 1,u)) = a(L(x,z,u \ 1),y,y). a(L(x,y,z \ 1),u,u) = a(x,u,L(u,y \ 1,z)). a(x,y,L(y,z,u \ 1)) = a(x,y,L(y,z \ 1,u)). a(x,y,L(y,z \ 1,u)) = a(x,y,L(y,z,u \ 1)). a(x,y,L(y,z \ 1,u \ 1)) != w | a(x,y \ 1,R(y,z,u) \ 1) = w. a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z,(u \ 1) \ 1)). a(x,x,y) * a(a(x,x,y),z,u) = a(x,x,L(y,z,u)). a(a(x,x,y),z,u) * w = a(y,x,x) * (a(x,x,L(y,z,u)) * w). a(x,y,y) * (a(y,y,L(x,z,u)) * w) = a(a(y,y,x),z,u) * w. x * (T(y,x) * a(z,u,u)) = (y * a(z,u,u)) * x. x * (y * a(z,u,u)) != w | x * (a(z,u,u) * y) = w. x * (a(y,z,z) * T(u,x)) = (u * a(y,z,z)) * x. T(x * a(y,z,z),u) = a(y,z,z) * T(x,u). x * a(y,y,z) != u | a(y,y,z) * x = u. a(x,x,y) * a(y,x,L(x,z,u)) = a(a(y,x,x),z,u). x \ a(a(x,y,y),z,u) = L(x,y,y) \ a(x,y,L(y,z,u)). L(x,y,y) \ a(x,y,L(y,z,u)) = x \ a(a(x,y,y),z,u). x * (y * a(z,u,u)) = (y * a(z,u,u)) * T(x,y). (x * a(y,z,z)) * T(u,x) = u * (x * a(y,z,z)). x * K(y,x \ (y * a(z,u,u))) = ((y * a(z,u,u)) \ x) * (y * a(z,u,u)). ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = u * K(x,u \ (x * a(y,z,z))). ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = T(u,x). T(x,y) = T(x,y * a(z,u,u)). T(x,y * a(z,u,u)) = T(x,y). (((x * a(y,z,z)) \ u) * (x * a(y,z,z))) \ u = K(x,(x * a(y,z,z)) \ u). a(a(x,y,y),z,T(u,z)) = (T(z,a(x,y,y)) * T(u,z)) \ (a(x,y,y) \ (u * (z * a(x,y,y)))). (T(x,a(y,z,z)) * T(u,x)) \ (a(y,z,z) \ (u * (x * a(y,z,z)))) = a(a(y,z,z),x,T(u,x)). T(x,a(y,z,z) * u) = T(x,u). T(x,y) = T(x,a(z,z,u) * y). T(x,a(y,y,z) * u) = T(x,u). T(x,a(y,z,z) * (L(y,z,z \ 1) * u)) != w | T(x,y * u) = w. T(x,y * z) = T(x,L(y,u,u \ 1) * z). T(x,L(y,z,z \ 1) * u) = T(x,y * u). x * (a(y,y,z) * u) = T((a(y,y,z) * u) * x,u). T((a(x,x,y) * z) * u,z) = u * (a(x,x,y) * z). T(a(x,x,y) * (z / L(y,x,x \ y)),a(x,x,y) * z) != u | L(y \ z,y,a(x,x,y)) = u. L(x \ y,x,a(z,z,x)) = T(a(z,z,x) * (y / L(x,z,z \ x)),y). T(a(x,x,y) * (z / L(y,x,x \ y)),z) = L(y \ z,y,a(x,x,y)). T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). T(x,((((y * z) \ 1) * (y * z)) \ (((y * z) \ 1) * (y * L(z,u,w)))) * v5) = T(x,(y \ ((y / z) * L(z,u,w))) * v5). T(x,((y \ 1) * z) * u) != w | L(T(x,z * (T(y,z) \ u)),u,K(y,z)) = w. L(T(x,y * (T(z,y) \ u)),u,K(z,y)) = T(x,(z \ y) * u). (a(x,x,y) * z) \ (z * (a(x,x,y) * u)) = R(u,a(x,x,y),z). L(T(x,a(y,z,z) * (T(z \ y,a(y,z,z)) \ u)),u,K(z \ y,a(y,z,z))) = T(x,((y \ 1) * z) * u). a(x,y \ 1,R(y,z,u) \ 1) = a(x,y,L(y,z,u)). (x * y) \ (y * (x * z)) != u | L(K(y,x) * z,x,y) = u. L(K(x,a(y,y,z)) * u,a(y,y,z),x) = R(u,a(y,y,z),x). L(a(x,y,K(z,y)) * u,a(y,y,z),x) = R(u,a(y,y,z),x). L(1 * x,a(y,y,z),u) = R(x,a(y,y,z),u). L(x,a(y,y,z),u) = R(x,a(y,y,z),u). R(x,a(y,y,z),u) = L(x,a(y,y,z),u). ((a(x,x,y) * z) / u) * L(u,a(x,x,y),z) = u \ ((u * a(x,x,y)) * z). (a(L(x,y,z),u,u) * 1) * a(u,u,x) = a(a(u,u,x),y,z) \ 1. a(x,y,y) * (a(y,y,L(x,z,u)) * w) != v5 | a(y,y,L(x,z,u)) * (w * a(x,y,y)) = v5. a(x,x,L(y,z,u)) * (w * a(y,x,x)) = a(a(x,x,y),z,u) * w. (a(x,y,L(y,z,u)) * 1) * a(y,y,x) = a(a(y,y,x),z,u) \ 1. a(x,y,L(y,z,u)) * a(y,y,x) = a(a(y,y,x),z,u) \ 1. a(x,y,L(y,z,u)) * a(y,y,x) != w | a(a(x,y,y),z,u) = w. a(a(x,y,y),z,u) = a(a(y,y,x),z,u) \ 1. a(a(x,x,y),z,u) \ 1 = a(a(y,x,x),z,u). a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = L(a(a(x,x,y),z,u),a(a(y,x,x),z,u),w). ((x * y) / z) * L(z,x,y) != u | (y * (T(x,y) * z)) / z = u. (x * (T(a(y,y,z),x) * u)) / u = u \ ((u * a(y,y,z)) * x). (x * (a(y,y,z) * u)) / u = u \ ((u * a(y,y,z)) * x). ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = (z * a(x,x,y)) \ (u \ ((u * a(x,x,y)) * z)). ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) = u * K(x,u \ a(y,z,z)). ((x * a(y,z,z)) \ u) * (x * a(y,z,z)) != w | T(u,x) = w. T(x,y) = x * K(y,x \ a(z,u,u)). x * K(y,x \ a(z,u,u)) = T(x,y). a(x,x,y) * T(z,u) = T(a(x,x,y) * z,u). T(a(x,x,y) * z,u) = a(x,x,y) * T(z,u). T(a(x,x,y) * (z / u),z) = a(x,x,y) * (u \ z). a(x,y,y) * T(a(y,y,L(x,z,u)) * w,v5) = a(a(y,y,x),z,u) * T(w,v5). T(a(x,x,y) * (z / L(y,x,x \ y)),z) != u | L(y \ z,y,a(x,x,y)) = u. L(x \ y,x,a(z,z,x)) = a(z,z,x) * (L(x,z,z \ x) \ y). a(x,x,y) * (L(y,x,x \ y) \ z) = L(y \ z,y,a(x,x,y)). L(x,L(y,z,z \ y) \ u,K(w,L(y \ u,y,a(z,z,y)))) = L(x,a(z,z,y),K(L(y,z,z \ y) \ u,w)). T(x,y) \ x = K(y,(y * a(z,u,u)) \ x). K(x,(x * a(y,z,z)) \ u) = T(u,x) \ u. K(x,y) = K(x,(x * a(z,u,u)) \ y). K(x,(x * a(y,z,z)) \ u) = K(x,u). K(x,a(y,z,z) \ u) = K(x,u). K(x,a(y,y,z) * u) = K(x,u). K(x,a(y,y,z) * (u \ w)) != v5 | K(x,u \ (w * a(y,y,z))) = v5. K(x,y \ (z * a(u,u,w))) = K(x,y \ z). K(x,y) = K(x,y * a(z,u,u)). K(x,y * a(z,u,u)) = K(x,y). a(x,y,y) * (a(z,z,u) * K(w,a(y,y,x))) = T(a(x,y,y) * a(z,z,u),w). K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). K(x,y \ L(z,u,u \ z)) = K(x,y \ z). K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). K(x,y \ (((z * u) \ 1) * (z * L(u,w,v5)))) = K(x,y \ (z \ ((z / u) * L(u,w,v5)))). a(x,y,y) * T(z,u) != w | T(z * a(x,y,y),u) = w. T((a(x,x,L(y,z,u)) * w) * a(y,x,x),v5) = a(a(x,x,y),z,u) * T(w,v5). a(x,y,y) * (a(z,z,u) * a(w,y,K(x,y))) = T(a(x,y,y) * a(z,z,u),w). T(a(x,x,L(y,z,u)) * (w * a(y,x,x)),v5) = a(a(x,x,y),z,u) * T(w,v5). a(x,y,y) * (a(z,z,u) * 1) = T(a(x,y,y) * a(z,z,u),w). T(a(x,y,y) * a(z,z,u),w) = a(x,y,y) * (a(z,z,u) * 1). T(a(x,y,y) * a(z,z,u),w) = a(x,y,y) * a(z,z,u). x / L(a(y,z,z) * a(z,z,L(y,u,w)),v5,a(z,z,y)) = (a(y,z,z) * a(z,z,L(y,u,w))) \ x. T(a(a(x,x,y),z,u) * w,v5) = a(a(x,x,y),z,u) * T(w,v5). (a(x,x,y) * z) * (a(y,x,x) * a(x,x,L(y,u,w))) = z * a(x,x,L(y,u,w)). a(x,x,y) * (z * (a(y,x,x) * a(x,x,L(y,u,w)))) = z * a(x,x,L(y,u,w)). a(x,x,y) * (z * a(a(x,x,y),u,w)) = z * a(x,x,L(y,u,w)). x != (y * a(z,u,L(u,w,v5))) * a(u,u,z) | (y * a(u,u,z)) * a(z,u,L(u,w,v5)) = x. (x * a(y,y,z)) * a(z,y,L(y,u,w)) = (a(y,y,z) * R(a(y,y,z) \ 1,u,w)) * x. (a(x,x,y) * R(a(x,x,y) \ 1,z,u)) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). K(x,y \ L(z \ L(z,u,w),v5,v5 \ 1)) = K(x,y \ (v5 \ ((v5 / z) * L(z,u,w)))). K(x,y \ L(z,u,u \ 1)) != w | K(x,y \ z) = w. K(x,y \ (z \ L(z,u,w))) = K(x,y \ (v5 \ ((v5 / z) * L(z,u,w)))). K(x,y \ (z \ ((z / u) * L(u,w,v5)))) = K(x,y \ (u \ L(u,w,v5))). K(x,y \ ((z * u) \ ((z * (u * w)) / w))) = K(x,y \ (w \ L(w,u,z))). K(x \ 1,y \ ((z * u) \ ((z * (u * w)) / w))) != v5 | K(x,a(z,u,w) * y) = v5. K(x,a(y,z,u) * w) = K(x \ 1,w \ (u \ L(u,z,y))). K(x \ 1,y \ (z \ L(z,u,w))) = K(x,a(w,u,z) * y). K(x,(y \ L(y,z,u)) \ w) = K(x,a(u,z,y) * w). K(x,(y \ z) \ u) != w | K(x,(z \ y) * u) = w. K(x,(L(y,z,u) \ y) * w) = K(x,a(u,z,y) * w). K(x,(L(y,z,u) \ y) * w) != v5 | K(x,y * (L(y,z,u) \ w)) = v5. K(x,y * (L(y,z,u) \ w)) = K(x,a(u,z,y) * w). K(x,y * (L(y,z,u) \ L(y \ L(y,z,u),y,w))) != v5 | a(w,y,K(L(y \ L(y,z,u),y,w),x)) = v5. a(x,y,K(L(y \ L(y,z,u),y,x),w)) = K(w,a(u,z,y) * L(y \ L(y,z,u),y,x)). K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = a(w,u,K(L(u \ L(u,z,y),u,w),x)). (a(x,x,y) * R(a(y,x,x),z,u)) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). (a(x,x,y) * a(y,x,L(x,z,u))) * w = (w * a(x,x,y)) * a(y,x,L(x,z,u)). a(a(x,y,y),z,u) * w = (w * a(y,y,x)) * a(x,y,L(y,z,u)). (x * a(y,y,z)) * a(z,y,L(y,u,w)) = a(a(z,y,y),u,w) * x. a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(a(x,y,y),z,u) * w. K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = a(w,u,a(x,z,K(u,L(y,u,w)))). x != a(y,z,a(u,w,K(z,v5))) | 1 = x. 1 = K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)). K(x,a(y,z,u) * L(u \ L(u,z,y),u,w)) = 1. (x * T(y,x)) \ (a(z,u,u) \ (y * (x * a(z,u,u)))) = a(a(z,u,u),x,T(y,x)). (x * y) \ (a(z,u,u) \ (x * (y * a(z,u,u)))) = a(a(z,u,u),y,T(x,y)). (x * y) \ (a(z,z,u) * (x * (y * a(u,z,z)))) = a(a(u,z,z),y,T(x,y)). x != a(y,z,T(u,z)) | a(y,z,u) = x. a(a(x,y,y),z,u) = (u * z) \ (a(y,y,x) * (u * (z * a(x,y,y)))). (x * y) \ (a(z,z,u) * (x * (y * a(u,z,z)))) = a(a(u,z,z),y,x). L(a(a(x,y,y),z,u) \ 1,(u * z) \ (a(y,y,x) * (u * (z * a(x,y,y)))),a(y,y,x) * (u * (z * a(x,y,y)))) = (a(y,y,x) * (u * (z * a(x,y,y)))) \ (u * z). a(a(x,y,y),z,u) \ 1 = a(a(x,y,y) \ 1,z \ 1,u \ 1). a(a(x,y,y) \ 1,z \ 1,u \ 1) = a(a(x,y,y),z,u) \ 1. a(a(x,x,y),z \ 1,u \ 1) = a(a(y,x,x),z,u) \ 1. a(a(x,x,y),z,u \ 1) = a(a(y,x,x),z \ 1,u) \ 1. a(a(x,y,y),z \ 1,u) \ 1 = a(a(y,y,x),z,u \ 1). x != L(a(a(y,y,z),u,w),v5,v6) | a(a(y,y,L(z,v5,v6)),u,w) = x. a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u) = a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u). a(a(x,x,L(y,a(a(x,x,y),z,u),w \ 1)),z,u) = a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u). x != (y * z) \ (u \ ((u * z) * y)) | K(z,y) * a(u,z,y) = x. K(a(x,x,y),z) * a(u,a(x,x,y),z) = ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)). ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = K(a(x,x,y),z) * a(u,a(x,x,y),z). ((a(x,x,y) * z) * u) \ (z * (a(x,x,y) * u)) = 1 * a(u,a(x,x,y),z). x != ((a(y,y,z) * u) * w) \ (u * (a(y,y,z) * w)) | a(w,a(y,y,z),u) = x. a(x,a(y,y,z),u) = a(a(y,y,z) * u,a(z,y,y),a(y,y,z) * x). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) = a(u,a(x,x,y),z). a(a(x,x,y) * z,a(y,x,x),a(x,x,y) * u) != w | u \ L(u,a(x,x,y),z) = w. x \ L(x,a(y,y,z),u) = a(x,a(y,y,z),u). x * a(x,a(y,y,z),u) = L(x,a(y,y,z),u). x * a(x,a(y,z,z),u) = L(x,a(z,z,y \ 1),u). L(x,a(y,y,z \ 1),u) = x * a(x,a(z,y,y),u). L(x,a(y,z,z),u) = x * a(x,a(y,z,z),u). x * a(x,a(y,z,z),u) = L(x,a(y,z,z),u). x / L(a(y,z,z) * a(z,z,L(y,u,w)),v5,a(z,z,y)) != v6 | a(z,z,y) * (a(y,z,L(z,u,w)) * x) = v6. a(x,x,y) * (a(y,x,L(x,z,u)) * w) = (a(y,x,x) * a(x,x,L(y,z,u))) \ w. (a(x,y,y) * a(y,y,L(x,z,u))) \ w = a(y,y,x) * (a(x,y,L(y,z,u)) * w). a(a(x,x,y),z,u) \ w = a(x,x,y) * (a(y,x,L(x,z,u)) * w). a(x,x,y) * (a(y,x,L(x,z,u)) * w) = a(a(x,x,y),z,u) \ w. a(x,x,y) * (a(y,x,L(x,z,u)) * w) != v5 | a(y,x,L(x,z,u)) * (w * a(x,x,y)) = v5. a(x,y,L(y,z,u)) * (w * a(y,y,x)) = a(a(y,y,x),z,u) \ w. a(x,y,L(y,z,u)) * (w * a(y,y,x)) != v5 | a(a(x,y,y),z,u) * w = v5. a(a(x,y,y),z,u) * w = a(a(y,y,x),z,u) \ w. a(a(x,x,y),z,u) \ w = a(a(y,x,x),z,u) * w. a(a(x,x,y),z,u) * w = a(a(y,x,x),z,u) \ w. a(a(x,y,y),z,u) \ w = a(a(y,y,x),z,u) * w. x * (a(a(y,y,z),u,w) * (a(a(z,y,y),u,w) * (x \ v5))) = v5. a(x,a(y,y,x),z) \ u = a(a(x,y,y),x,z) * u. a(a(x,y,y),z \ 1,u) \ 1 != w | a(a(y,y,x),z,u \ 1) = w. a(a(x,x,y),z,u \ 1) = a(a(x,x,y),z \ 1,u) * 1. a(a(x,x,y),z \ 1,u) * 1 = a(a(x,x,y),z,u \ 1). a(x,a(y,y,x),z) \ u = a(x,a(x,y,y),z) * u. a(a(x,x,y),z \ 1,u) = a(a(x,x,y),z,u \ 1). L(T(x,a(y,z,z) * ((z \ y) \ u)),u,K(z \ y,a(y,z,z))) = T(x,((y \ 1) * z) * u). L(T(x,a(y,z,z) * ((z \ y) \ u)),u,a(z \ y,z,K(z,y))) = T(x,((y \ 1) * z) * u). L(T(x,a(y,z,z) * ((z \ y) \ u)),u,1) = T(x,((y \ 1) * z) * u). T(x,a(y,z,z) * ((z \ y) \ u)) = T(x,((y \ 1) * z) * u). T(x,a(y,z,z) * u) != w | T(x,u) = w. T(x,(y \ z) \ u) = T(x,((z \ 1) * y) * u). T(x,((y \ 1) * z) * u) = T(x,(z \ y) \ u). T(x,((y \ 1) * z) * u) != w | T(x,(y \ z) * u) = w. T(x,(y \ z) * u) = T(x,(z \ y) \ u). T(x,(y \ z) \ u) = T(x,(z \ y) * u). T(x,(((y \ 1) * ((z \ 1) * u)) \ (((z * y) \ 1) * u)) \ w) = T(x,(a(u \ 1,z,y) \ 1) * w). T(x,(((y * (z * u)) / u) \ (y * z)) \ w) = T(x,L(u \ L(u,z,y),u,z * y) * w). T(x,a(y,z,u) \ w) = T(x,L(u \ L(u,z,y),u,z * y) * w). T(x,L(y \ L(y,z,u),y,z * u) * w) = T(x,a(u,z,y) \ w). T(x,a(y \ 1,z \ 1,u) \ w) = T(x,(a(u \ 1,z,y) \ 1) * w). x != T(y,(z \ 1) * u) | T(y,z \ u) = x. T(x,a(y \ 1,z,u) \ w) = T(x,a(u \ 1,z \ 1,y) \ w). T(x,a(y \ 1,z \ 1,u) \ w) = T(x,a(u \ 1,z,y) \ w). T((x * y) \ ((x * (y * z)) / z),a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) != u | a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = u. a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = T((x * y) \ ((x * (y * z)) / z),a((x \ 1) \ 1,y,z) \ a(x,y,z)). T((x * y) \ ((x * (y * z)) / z),a((x \ 1) \ 1,y,z) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = L(x,a(z,z,y),K(L(y,z,z \ y) \ u,w)). L(x,a(y,y,z),K(L(z,y,y \ z) \ u,w)) = L(x,L(z,y,y \ z) \ u,K(w,z \ u)). L(x,a(y,y,z),K(u,w \ L(z,y,y \ z))) = L(x,L(z,y,y \ z) \ w,K(u,z \ w)). L(x,a(y,y,z),K(u,w \ z)) = L(x,L(z,y,y \ z) \ w,K(u,z \ w)). L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = L(x,a(z,z,y),K(w,u \ y)). x != L(y,a(z,u,w),K(v5,v6)) | L(y,z,a(v5,u,K(w,v6))) = x. L(x,y,a(z,y,K(u,w \ u))) = L(x,L(u,y,y \ u) \ w,K(z,u \ w)). L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = L(x,z,a(w,z,K(y,u \ y))). x != L(y,z,a(u,z,K(w,v5))) | y = x. x = L(x,L(y,z,z \ y) \ u,K(w,y \ u)). L(x,L(y,z,z \ y) \ u,K(w,y \ u)) = x. x != y / (y \ z) | y * (z \ y) = x. x * (y \ x) = L(x / (x \ y),L(z,u,u \ z) \ w,K(v5,z \ w)). L(x / (x \ y),L(z,u,u \ z) \ w,K(v5,z \ w)) = x * (y \ x). T(x,(1 \ (((y * z) \ 1) * (y * L(z,u,w)))) * v5) = T(x,(y \ ((y / z) * L(z,u,w))) * v5). T(x,(1 \ L(y \ L(y,z,u),w,w \ 1)) * v5) = T(x,(w \ ((w / y) * L(y,z,u))) * v5). T(x,L(y \ L(y,z,u),w,w \ 1) * v5) = T(x,(w \ ((w / y) * L(y,z,u))) * v5). T(x,L(y,z,z \ 1) * u) != w | T(x,y * u) = w. T(x,(y \ L(y,z,u)) * w) = T(x,(v5 \ ((v5 / y) * L(y,z,u))) * w). T(x,(y \ ((y / z) * L(z,u,w))) * v5) = T(x,(z \ L(z,u,w)) * v5). x != T(y,(z \ L(z,u,w)) * v5) | T(y,L(z,u,w) * (z \ v5)) = x. T(x,L(y,z,u) * (y \ w)) = T(x,(v5 \ ((v5 / y) * L(y,z,u))) * w). T(x,(y \ ((y / z) * L(z,u,w))) * v5) = T(x,L(z,u,w) * (z \ v5)). T(x,L(y \ L(y,z,u),y,w) * v5) = T(x,L(y,z,u) * (y \ v5)). T(x,L(y \ L(y,z,u),y,z * u) * w) != v5 | T(x,a(u,z,y) \ w) = v5. T(x,a(y,z,u) \ w) = T(x,L(u,z,y) * (u \ w)). T(x,L(y,z,u) * (y \ w)) = T(x,a(u,z,y) \ w). a(T(x,a(y,z,u) \ w),v5,w) = a(L(x,y,K(u,z)),v5,w). a(T(x,y),z,u) != w | a(x,z,T(u,y)) = w. a(x,y,T(z,a(u,w,v5) \ z)) = a(L(x,u,K(v5,w)),y,z). a(x,y,L(z,u,K(w,v5))) = a(L(x,u,K(w,v5)),y,z). a(L(x,y,K(z,u)),w,v5) = a(x,w,L(v5,y,K(z,u))). a(L((x * y) \ (z \ (x * y)),u,K(w,v5)),x,y) != v6 | L(z * R(z \ 1,x,y),v5,K(u,w)) = v6. L(x * R(x \ 1,y,z),u,K(w,v5)) = a((y * z) \ (x \ (y * z)),y,L(z,w,K(v5,u))). a(L(x,y,K(z,u)),w,v5) != v6 | L(a(x,w,v5),y,K(z,u)) = v6. L(a(x,y,z),u,K(w,v5)) = a(x,y,L(z,u,K(w,v5))). a(x,y,L(z,u,K(w,v5))) = L(a(x,y,z),u,K(w,v5)). a(x,y,z) = a(x,y,L(z,u,K(w,x))). a(x,y,L(z,u,K(w,x))) = a(x,y,z). a(a(x,y,L(z,u,K(w,v5))),v6,v7) = a(a(x,y,z),v6,L(v7,u,K(w,v5))). a(a((x * y) \ (z \ (x * y)),x,L(y,u,K(w,v5))),v6,v7) = a(z * R(z \ 1,x,y),v6,L(v7,v5,K(u,w))). a(a(x,y,L(z,u,K(w,v5))),v6,v7) != v8 | a(a(x,y,z),v6,L(v7,u,K(w,v5))) = v8. a(a((x * y) \ (z \ (x * y)),x,y),u,L(w,v5,K(v6,v7))) = a(z * R(z \ 1,x,y),u,L(w,v7,K(v5,v6))). a(x,y,L(y,z,K(u,w))) != v5 | a(x,y,y) = v5. a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(z * R(z \ 1,x,y),u,L(u,w,K(v5,v6))). x != a(y,z,L(u,w,K(v5,y))) | a(y,z,u) = x. a(x * R(x \ 1,y,z),u,u) = a(a((y * z) \ (x \ (y * z)),y,z),u,u). a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(z * R(z \ 1,x,y),u,u). T((x * y) \ ((x * (y * z)) / z),a(x,y,z) \ a(x,y,z)) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). T((x * y) \ ((x * (y * z)) / z),1) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = T((x * y) \ ((x * (y * z)) / z),1). x != T(y,1) | y = x. (x * y) \ ((x * (y * z)) / z) = a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)). a(x,y,z) \ (a(z \ 1,y \ 1,x \ 1) \ a(x,y,z)) = (x * y) \ ((x * (y * z)) / z). a(L(x,y,z),u,u) \ (a(x \ 1,L(u \ 1,y,z) \ 1,u \ 1) \ a(u,L(u \ 1,y,z),x)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). a(L(x,y,z),u,u) \ (a(x \ 1,L(u,y,z) \ 1,(u \ 1) \ 1) \ a(u \ 1,L(u,y,z),x)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). (a(x,x,y) * (z * a(a(x,x,y),u,w))) \ ((z * (a(x,x,y) * a(a(x,x,y),u,w))) * a(x,x,y)) = a(x,x,L(y,a(a(x,x,y),u,w),z)). (x * a(y,y,L(z,u,w))) \ ((x * (a(y,y,z) * a(a(y,y,z),u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). (x * a(y,y,L(z,u,w))) \ ((x * a(y,y,L(z,u,w))) * a(y,y,z)) = a(y,y,L(z,a(a(y,y,z),u,w),x)). a(x,x,y) = a(x,x,L(y,a(a(x,x,y),z,u),w)). a(x,x,L(y,a(a(x,x,y),z,u),w)) = a(x,x,y). a(a(x,x,y),z,u) = a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u). a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u) = a(a(x,x,y),z,u). (a(x,y,y) * ((y \ 1) * x)) \ (L(a(y,y,x),z,u) \ ((y \ 1) * x)) = a(y,y,x) * (((y \ 1) * x) \ (L(a(y,y,x),z,u) \ ((y \ 1) * x))). (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,(L(x,y,z) \ L(x \ L(x,y,z),x,u)) * x) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. ((L(x,x,y) \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)) = a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = ((L(x,x,y) \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (L(x \ 1,x,y) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(x,x,L(y,z,u)) \ ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(L(y,z,u),x,x) * ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (a(y,x,L(x,z,u)) * ((x \ 1) * y)). a(x,x,y) * (((x \ 1) * y) \ (L(a(x,x,y),z,u) \ ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (((x \ 1) * y) \ (a(x,x,L(y,z,u)) \ ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (((x \ 1) * y) \ (a(L(y,z,u),x,x) * ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (((x \ 1) * y) \ (a(y,x,L(x,z,u)) * ((x \ 1) * y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (((x \ 1) * y) \ (L(x \ 1,x,L(y,z,u)) * y)) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (y \ (L(x \ 1,x,L(y,z,u)) * ((x \ 1) \ y))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (y \ (y * a(L(y,z,u),x,x))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * (y \ (y * a(y,x,L(x,z,u)))) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). a(x,x,y) * a(y,x,L(x,z,u)) = (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y). (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(x,x,y) * a(y,x,L(x,z,u)). x != a(y,y,z) * a(z,y,L(y,u,w)) | a(a(z,y,y),u,w) = x. a(a(x,y,y),z,u) = (y \ x) \ (L(y \ 1,y,L(x,z,u)) * x). (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(a(y,x,x),z,u). (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x \ L(x,y,z),x,u) / L(x,y,z))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x,y,z) \ L(L(x,y,z) / x,x,u))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,x * (L(x,y,z) \ L(x \ L(x,y,z),x,u))) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * K(w,a(z,y,x) * L(x \ L(x,y,z),x,u)) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. (L(x \ L(x,y,z),x,u) \ L(x,y,z)) * 1 = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. T(a(x,y,y \ L(y,z,u)) \ 1,w) \ y = (L(y \ L(y,z,u),y,x) \ L(y,z,u)) * 1. L(x \ L(x,y,z),x,u) \ L(x,y,z) = T(a(u,x,x \ L(x,y,z)) \ 1,w) \ x. T(a(x,y,y \ L(y,z,u)) \ 1,w) \ y = L(y \ L(y,z,u),y,x) \ L(y,z,u). (x \ (y * L(x,z,u))) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). ((x \ y) * L(x,z,u)) \ ((x \ L(x,z,u)) * T(y,x * (x \ L(x,z,u)))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). ((x \ y) * L(x,z,u)) \ ((x \ L(x,z,u)) * T(y,L(x,z,u))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). ((x \ y) * L(x,z,u)) \ (T(y,x) * (x \ L(x,z,u))) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = ((x \ u) * L(x,y,z)) \ (T(u,x) * (x \ L(x,y,z))). x != ((y \ z) * u) \ (T(z,y) * (y \ u)) | a(y \ z,y,y \ u) = x. a(x \ y,x,x \ L(x,z,u)) = (x * (x \ L(x,z,u))) \ (((x \ L(x,z,u)) * (x * y)) / y). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) = a(x \ u,x,x \ L(x,y,z)). (x * (x \ L(x,y,z))) \ (((x \ L(x,y,z)) * (x * u)) / u) != w | L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)) = w. L(x,y,z) \ (((x \ L(x,y,z)) * u) / (x \ u)) = a(x \ u,x,x \ L(x,y,z)). L(x,y,z) \ (((x \ L(x,y,z)) * (x * u)) / u) = a(x \ u,x,x \ L(x,y,z)). x \ y != a(z \ u,z,z \ x) | (u / z) \ (u * (z \ x)) = y. (x / y) \ (x * (y \ L(y,z,u))) = ((y \ L(y,z,u)) * x) / (y \ x). ((x \ L(x,y,z)) * u) / (x \ u) = (u / x) \ (u * (x \ L(x,y,z))). ((x \ L(x,y,z)) * (x * u)) / u = ((x * u) / x) \ ((x * u) * (x \ L(x,y,z))). ((x * y) / x) \ ((x * y) * (x \ L(x,z,u))) = ((x \ L(x,z,u)) * (x * y)) / y. L(x,y,z) \ ((x * ((x \ L(x,y,z)) * u)) / u) = a(x \ u,x,x \ L(x,y,z)). ((x * y) / x) \ ((x * y) * (x \ L(x,z,u))) = (x * ((x \ L(x,z,u)) * y)) / y. ((x * y) / x) \ ((x * y) * z) != u | y \ ((y * x) * z) = u. x \ ((x * y) * (y \ L(y,z,u))) = (y * ((y \ L(y,z,u)) * x)) / x. (x * ((x \ L(x,y,z)) * u)) / u = u \ ((u * x) * (x \ L(x,y,z))). L(x,y,z) \ (u \ ((u * x) * (x \ L(x,y,z)))) = a(x \ u,x,x \ L(x,y,z)). a(x,y,y \ L(y,z,u)) = a(y \ x,y,y \ L(y,z,u)). a(x \ y,x,x \ L(x,z,u)) = a(y,x,x \ L(x,z,u)). a(x \ y,x,x \ L(x,z,u)) != w | a(y,x,x \ L(x,z,u)) = w. L(x / a(y,z,z \ L(z,u,w)),z,K(z \ L(z,u,w),z \ y)) = a(z \ y,z,z \ L(z,u,w)) \ x. x \ (a(y,z,z \ L(z,u,w)) \ y) = x \ (((y / z) * L(z,u,T(w,v5))) / T(z \ L(z,u,w),v5)). a(x,y,y \ L(y,z,u)) \ 1 = x \ (((x / y) * L(y,z,T(u,w))) / T(y \ L(y,z,u),w)). x \ (((x / y) * L(y,z,T(u,w))) / T(y \ L(y,z,u),w)) = a(x,y,y \ L(y,z,u)) \ 1. x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) = a(x,y,y \ L(y,z,u)) \ 1. x \ (((x / y) * L(y,z,u)) / (y \ L(y,z,u))) != w | a(y,y \ L(y,z,u),x) = w. a(x,x \ L(x,y,z),u) = a(u,x,x \ L(x,y,z)) \ 1. a(x,y,y \ L(y,z,u)) \ 1 = a(y,y \ L(y,z,u),x). a(x,x \ L(x,y,z),u) \ 1 = a(u,x,x \ L(x,y,z)). x \ 1 != y | L(z,x,x) \ (z / x) = y. L(x,a(y,z,z \ L(z,u,w)),a(y,z,z \ L(z,u,w))) \ (x / a(y,z,z \ L(z,u,w))) = a(z,z \ L(z,u,w),y). a(x,x \ L(x,y,z),u) \ 1 != w | a(u,x,x \ L(x,y,z)) = w. L((x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. x * a(y,x,x \ L(x,z,u)) = a(x,x \ L(x,z,u),y) \ x. a(x,x \ L(x,y,z),u) \ x = x * a(u,x,x \ L(x,y,z)). L(x / a(y,z,z \ L(z,u,w)),z,a(z \ y,u,K(z,w))) = a(z \ y,z,z \ L(z,u,w)) \ x. x / a(y,z,z \ L(z,u,w)) = a(z \ y,z,z \ L(z,u,w)) \ x. a(x \ y,x,x \ L(x,z,u)) \ w = w / a(y,x,x \ L(x,z,u)). a(x,y,y \ L(y,z,u)) \ w = w / a(x,y,y \ L(y,z,u)). x / a(y,z,z \ L(z,u,w)) = a(y,z,z \ L(z,u,w)) \ x. L(x,a(y,z,z \ L(z,u,w)),a(y,z,z \ L(z,u,w))) \ (a(y,z,z \ L(z,u,w)) \ x) = a(z,z \ L(z,u,w),y). L(x,y,y) \ (y \ x) != z | T(y \ 1,x) = z. T(a(x,y,y \ L(y,z,u)) \ 1,w) = a(y,y \ L(y,z,u),x). a(x,x \ L(x,y,z),u) \ x = L(x \ L(x,y,z),x,u) \ L(x,y,z). L(x \ L(x,y,z),x,u) \ L(x,y,z) = a(x,x \ L(x,y,z),u) \ x. x != a(y,y \ L(y,z,u),w) \ y | y * a(w,y,y \ L(y,z,u)) = x. x * a(y,x,x \ L(x,z,u)) = L(x \ L(x,z,u),x,y) \ L(x,z,u). L(x \ L(x,y,z),x,u) \ L(x,y,z) = x * a(u,x,x \ L(x,y,z)). R(x \ (x * a(y,x,x \ L(x,z,u))),w,y) = a(y,x,L(x \ L(x,z,u),x,y)). R(a(x,y,y \ L(y,z,u)),w,x) = a(x,y,L(y \ L(y,z,u),y,x)). a(x,y,y \ L(y,z,u)) = a(x,y,L(y \ L(y,z,u),y,x)). a(x,y,L(y \ L(y,z,u),y,x)) = a(x,y,y \ L(y,z,u)). ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,z \ L(z,y,x))) = (z \ L(z,y,x)) * z. x != (y \ L(y,z,u)) * y | L(y,z,u) = x. L(x,y,z) = ((z * y) \ ((z * (y * x)) / x)) * (x * a(z * y,x,x \ L(x,y,z))). ((x * y) \ ((x * (y * z)) / z)) * (z * a(x * y,z,z \ L(z,y,x))) = L(z,y,x). ((x * y) \ ((x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1))) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). (L(((x * y) \ ((x * (y * z)) / z)) \ 1,u,u) \ a(u,u,(x * y) \ ((x * (y * z)) / z))) * (z * a(x * y,z,z \ L(z,y,x))) = L(z,y,x). (L(a(x \ 1,y \ 1,z \ 1),u,u) \ a(u,u,(z * y) \ ((z * (y * x)) / x))) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). (L(a(x \ 1,y \ 1,z \ 1),u,u) \ a(a(x \ 1,y \ 1,z \ 1),u,u)) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(z * y,x,x \ L(x,y,z))) = L(x,y,z). a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(u,L(u \ 1,y,z),x)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(L(x,y,z),u,u)) = (u * L(u \ 1,y,z)) \ ((u * (L(u \ 1,y,z) * x)) / x). a(x,x,L(y,z,u)) = (x * L(x \ 1,z,u)) \ ((x * (L(x \ 1,z,u) * y)) / y). (x * L(x \ 1,y,z)) \ ((x * (L(x \ 1,y,z) * u)) / u) = a(x,x,L(u,y,z)). (x * L(x \ 1,y,z)) \ (u \ ((u * x) * L(x \ 1,y,z))) = a(x,x,L(u,y,z)). a(x,y,L(y \ 1,z,u)) = a(y,y,L(x,z,u)). a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(u \ 1,L(u,y,z),x)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). a(L(x,y,z),u,u) \ (a(L(x,y,z),u,u) \ a(L(x,y,z),u,u)) = ((u \ 1) * L(u,y,z)) \ (((u \ 1) * (L(u,y,z) * x)) / x). a(x,x,L(y,z,u)) = ((x \ 1) * L(x,z,u)) \ (((x \ 1) * (L(x,z,u) * y)) / y). ((x \ 1) * L(x,y,z)) \ (((x \ 1) * (L(x,y,z) * u)) / u) = a(x,x,L(u,y,z)). (x \ L(x,y,z)) \ (((x \ 1) * (L(x,y,z) * u)) / u) = a(x,x,L(u,y,z)). (x \ L(x,y,z)) \ (u \ ((u * (x \ 1)) * L(x,y,z))) = a(x,x,L(u,y,z)). a(x,y \ 1,L(y,z,u)) = a(y,y,L(x,z,u)). L(a(a(x,x,y),z,u) * 1,(u * z) \ (a(x,x,y) * (u * (z * a(y,x,x)))),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). L(a(a(x,x,y),z,u),(u * z) \ (a(x,x,y) * (u * (z * a(y,x,x)))),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). L(a(a(x,x,y),z,u),a(a(y,x,x),z,u),a(x,x,y) * (u * (z * a(y,x,x)))) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). L(a(a(x,x,y),z,u),w,v5) != v6 | a(a(x,x,L(y,w,v5)),z,u) = v6. a(a(x,x,L(y,a(a(y,x,x),z,u),a(x,x,y) * (u * (z * a(y,x,x))))),z,u) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). a(a(x,x,L(y,a(a(y,x,x),z,u),w)),z,u) != v5 | a(a(x,x,y),z,u) = v5. a(a(x,x,y),z,u) = (a(x,x,y) * (u * (z * a(y,x,x)))) \ (u * z). (a(x,x,y) * (z * (u * a(y,x,x)))) \ (z * u) = a(a(x,x,y),u,z). (a(x,x,y) * (z * (u * a(y,x,x)))) \ (z * u) != w | a(z,u,a(y,x,x)) = w. a(x,y,a(z,u,u)) = a(a(u,u,z),y,x). a(a(x,x,y),z,u) = a(u,z,a(y,x,x)). x != a(y,y,z) | a(y,y,L(z,y,u)) = x. a(x,x,L(a(y,z,z),x,u)) = a(a(z,z,y),x,x). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(u \ 1,L(x,u * (z * y),a(u,z,y)))). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(x,L(u,u * (z * y),a(u,z,y)))). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(y \ 1,z \ 1,K(x,u)). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(x,u,K(z,y \ 1)). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = (a(u,z,y) \ x) * a(x,u,K(y,z)). x != (y \ z) * a(z,u,K(w,v5)) | y \ L(z,w,K(v5,u)) = x. a(x,y,z) \ L(u,z,K(y,x)) = u / L(a(z \ 1,y \ 1,x \ 1),(x * y) \ ((x * (y * z)) / z),x * (y * z)). x / L(a(y \ 1,z \ 1,u \ 1),(u * z) \ ((u * (z * y)) / y),u * (z * y)) = a(u,z,y) \ L(x,y,K(z,u)). x / a(y,z,u) = a(y,z,u) \ L(x,u,K(z,y)). a(x,y,z) \ L(u,z,K(y,x)) = u / a(x,y,z). a(x,y,z) \ (z * y) = (z * y) / a(x,y,z). (x * y) / a(z,y,x) = a(z,y,x) \ (x * y). (x \ ((x * y) * z)) \ (y * z) = (z * y) \ (a(x,y,z) \ (z * y)). (x \ ((x * y) * z)) \ (y * z) != u | (x * y) \ ((x * (y * z)) / z) = u. (x * y) \ ((x * (y * z)) / z) = (z * y) \ (a(x,y,z) \ (z * y)). (x * y) \ (a(z,y,x) \ (x * y)) = (z * y) \ ((z * (y * x)) / x). (x * y) \ (x * (a(z,y,x) \ y)) = (z * y) \ ((z * (y * x)) / x). (x * y) \ ((x * (y * z)) / z) = (z * y) \ (z * (a(x,y,z) \ y)). (x * y) \ ((x * (y * z)) / z) != u | L(z \ L(z,y,x),z,y * x) = u. L(x \ L(x,y,z),x,y * z) = (x * y) \ (x * (a(z,y,x) \ y)). (x * y) * L(x \ L(x,y,z),x,y * z) = x * (a(z,y,x) \ y). x * L(y \ L(y,x,z),y,x * z) = a(z,x,y) \ x. x \ (a(y,x,z) \ x) = L(z \ L(z,x,y),z,x * y). L(x \ L(x,y,z),x,y * z) = y \ (a(z,y,x) \ y). x * ((y * x) \ ((y * (x * z)) / z)) = a(y,x,z) \ x. x * a(y,x,a(x,z,u)) = a(a(x,z,u),x,y) \ x. a(a(x,y,z),x,u) \ x = x * a(u,x,a(x,y,z)). a(x,a(x,y,z),u) \ x = x * a(u,x,a(x,y,z)). a(x,a(y,y,x),z) \ x = x * a(z,x,a(x,y,y \ 1)). x * a(y,x,a(x,z,z \ 1)) = a(x,a(z,z,x),y) \ x. L((a(x,y,z) \ y) \ y,(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. x * a(x,a(x,y,z),u) = a(u,x,a(x,y,z)) \ x. a(x,y,a(y,z,u)) \ y = y * a(y,a(y,z,u),x). x \ (x * a(x,a(x,y,z),y * z)) = x / (a(x,y,z) \ R(x,y,z)). x * a(y,x,a(z,z,x)) = a(x,a(z,z,x),y) \ x. a(x,a(y,y,x),z) \ x = x * a(z,x,a(y,y,x)). a(x,a(y,y,x),z) \ u != w | a(x,a(x,y,y),z) * u = w. a(x,a(x,y,y),z) * x = x * a(z,x,a(y,y,x)). x * a(x,a(x,y,y),z) = x * a(z,x,a(y,y,x)). x * a(y,x,a(z,z,x)) = x * a(x,a(x,z,z),y). x != y * a(y,a(z,u,u),w) | L(y,a(z,u,u),w) = x. L(x,a(x,y,y),z) = x * a(z,x,a(y,y,x)). x * a(y,x,a(z,z,x)) = L(x,a(x,z,z),y). a(x,a(x,y,z),y * z) = x / (a(x,y,z) \ R(x,y,z)). x / (a(x,y,z) \ R(x,y,z)) = a(x,a(x,y,z),y * z). x / x = a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u). a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u) = x / x. x != y / y | 1 = x. 1 = a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u). a(x,a(x,x \ L(x,y,z),u),(x \ L(x,y,z)) * u) = 1. 1 * R(x,x \ L(x,y,z),u) = x * a(x,x \ L(x,y,z),u). R(x,x \ L(x,y,z),u) = x * a(x,x \ L(x,y,z),u). x * a(x,x \ L(x,y,z),u) = R(x,x \ L(x,y,z),u). L(T(a(x,y,z),y),(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. L(a(x,y,z),(a(x,y,z) \ y) \ y,a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. L(a(x,y,z),a(x,y,z),a(x,y,z) \ y) = L(z \ L(z,y,x),z,y * x) \ 1. L(x,x,x \ y) != z | L(x,x,y) = z. L(a(x,y,z),a(x,y,z),y) = L(z \ L(z,y,x),z,y * x) \ 1. x != L(y \ L(y,z,u),y,z * u) \ 1 | a(y \ 1,z \ 1,u \ 1) = x. a(x \ 1,y \ 1,z \ 1) = L(a(z,y,x),a(z,y,x),y). L(a(x,y,z),a(x,y,z),y) = a(z \ 1,y \ 1,x \ 1). L(a(x,y,L(y,z,u) \ 1),a(x,L(y,z,u) \ 1,y),L(y,z,u) \ 1) = a(y \ 1,(L(y,z,u) \ 1) \ 1,x \ 1). L(a(x,L(x,y,z) \ 1,u),a(L(x,y,z) \ 1,x,u),x) = a(u \ 1,x \ 1,(L(x,y,z) \ 1) \ 1). a(x,L(x,y,z) \ 1,u) = a(u \ 1,x \ 1,(L(x,y,z) \ 1) \ 1). a(x \ 1,y \ 1,(L(y,z,u) \ 1) \ 1) = a(y,L(y,z,u) \ 1,x). a(x \ 1,y \ 1,L(y,z,u)) = a(y,L(y,z,u) \ 1,x). a(x,y \ 1,L(y,z,u)) != w | a(y,y,L(x,z,u)) = w. a(x,x,L(y \ 1,z,u)) = a(x,L(x,z,u) \ 1,y). a(x,L(x,y,z) \ 1,u) = a(x,x,L(u \ 1,y,z)). x != a(y,y,L(z \ 1,u,w)) | a(z,y,L(y,u,w)) = x. a(x,y,L(y,z,u)) = a(y,L(y,z,u) \ 1,x). a(x,L(x,y,z) \ 1,u) = a(u,x,L(x,y,z)). a(x \ 1,(R(x,y,z) \ 1) \ 1,u) = a(u,x \ 1,L(x \ 1,y \ 1,z \ 1)). a(x,y \ 1,L(y \ 1,z \ 1,u \ 1)) = a(y \ 1,(R(y,z,u) \ 1) \ 1,x). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = (x * u) * a(u,x,L(x,y,z)). x != (y * z) * a(z,y,L(y,u,w)) | y * L(z,y,L(y,u,w)) = x. x * L(y,x,L(x,z,u)) = (L(x,z,u) \ 1) \ ((L(x,z,u) \ x) * y). (L(x,y,z) \ 1) \ ((L(x,y,z) \ x) * u) = x * L(u,x,L(x,y,z)). (x \ 1) * (x * L(y,x,L(x,z,u))) = L(y,L(x,z,u) \ x,x \ 1). L(x,L(y,z,u) \ y,y \ 1) != w | L(L(x,y,L(y,z,u)),y,y \ 1) = w. L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y \ 1,L(y,z,u) \ y). a(x,y \ 1,L(y \ 1,z \ 1,u \ 1)) = a(y \ 1,R(y,z,u),x). a(x,y \ 1,R(y,z,u) \ 1) = a(y \ 1,R(y,z,u),x). a(x,y \ 1,R(y,z,u) \ 1) != w | a(x,y,L(y,z,u)) = w. a(x,y,L(y,z,u)) = a(y \ 1,R(y,z,u),x). a(x \ 1,R(x,y,z),u) = a(u,x,L(x,y,z)). R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * (u * a(u,x,L(x,y,z))). R(x,y,z) \ ((x \ R(x,y,z)) * u) = (x \ 1) * L(u,x,L(x,y,z)). x * ((x \ 1) * L(y,x,L(x,z,u))) = L(y,x,x \ R(x,z,u)). L(L(x,y,L(y,z,u)),y,y \ 1) = L(x,y,y \ R(y,z,u)). L(L(x,y,L(y,z,u)),y,y \ 1) != w | L(x,y \ 1,L(y,z,u) \ y) = w. L(x,y \ 1,L(y,z,u) \ y) = L(x,y,y \ R(y,z,u)). L(x,y \ 1,L(y,z,u) \ y) != w | R(x,y \ 1,L(y,z,u) \ y) = w. R(x,y \ 1,L(y,z,u) \ y) = L(x,y,y \ R(y,z,u)). L(x,y,y \ R(y,z,u)) \ x = x * R(x \ 1,y,y \ L(y,z,u)). x * R(x \ 1,y,y \ L(y,z,u)) = L(x,y,y \ R(y,z,u)) \ x. L(a(x,y,z),u,z) != w | a(x,y,z) = w. a(x,y,L(y,z,u) \ 1) = a(y \ 1,(L(y,z,u) \ 1) \ 1,x \ 1). a(x \ 1,(L(x,y,z) \ 1) \ 1,u \ 1) = a(u,x,L(x,y,z) \ 1). a(x \ 1,L(x,y,z),u \ 1) = a(u,x,L(x,y,z) \ 1). a(x \ 1,L(x,y,z),u) != w | a(u,x,L(x,y,z)) = w. a(x \ 1,y,L(y,z,u)) = a(x,y,L(y,z,u) \ 1). a(x \ 1,y,L(y,z,u)) != w | a(y,y,L(x,z,u)) = w. a(x,x,L(y,z,u)) = a(y,x,L(x,z,u) \ 1). a(x,y,L(y,z,u) \ 1) = a(y,y,L(x,z,u)). a(x,x,L(y,z,u)) \ (y * x) = (y * (L(x,z,u) \ x)) / (L(x,z,u) \ 1). a(L(x,y,z),u,u) * (x * u) = (x * (L(u,y,z) \ u)) / (L(u,y,z) \ 1). (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = a(L(x,z,u),y,y) * (x * y). (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = a(x,y,L(y,z,u)) * (x * y). x != a(y,z,u) * (y * z) | y * (z * a(y,z,u)) = x. x * (y * a(x,y,L(y,z,u))) = (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1). (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = x * (y * a(x,y,L(y,z,u))). (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = x * L(y,y,L(x \ y,z,u)). x != y * L(z,z,L(y \ z,u,w)) | L(y,z,L(z,u,w)) * z = x. L(x,y,L(y,z,u)) * y = (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1). (x * (L(y,z,u) \ y)) / (L(y,z,u) \ 1) = L(x,y,L(y,z,u)) * y. ((x * y) \ (L(x,y,L(y,z,u)) * y)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). (x \ (L(y,x,L(x,z,u)) * (y \ x))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). (x \ ((x / y) * L(y,x,L(x,z,u)))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). (x \ L(x,x,L(y \ x,z,u))) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). a(x,x,L(y \ x,z,u)) * ((L(x,z,u) \ 1) * a(y * x,L(x,z,u) \ 1,(L(x,z,u) \ 1) \ L(L(x,z,u) \ 1,x,y))) = L(L(x,z,u) \ 1,x,y). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,(L(y,z,u) \ 1) \ L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(y,z,u) * L(L(y,z,u) \ 1,y,x))) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(y * L(y \ 1,y,x),z,u))) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,L(a(x,y,y),z,u))) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * a(x * y,L(y,z,u) \ 1,a(x,y,L(y,z,u)))) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * ((L(y,z,u) \ 1) * 1) = L(L(y,z,u) \ 1,y,x). a(x,y,L(y,z,u)) * (L(y,z,u) \ 1) = L(L(y,z,u) \ 1,y,x). L(x,y,z) \ a(u,x,L(x,y,z)) = L(L(x,y,z) \ 1,x,u). L(x,y,z) \ a(u,x,L(x,y,z)) != w | L(L(x,y,z),x,u) \ 1 = w. L(L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ 1,x,u). L(L(x,y,z) \ 1,x,u) = L(L(x,y,z),x,u) \ 1. x != L(L(y,z,u),y,L(w,z,u)) \ 1 | L(L(y,z,u) \ 1,L(y,z,u),w) = x. L(L(x,y,z) \ 1,L(x,y,z),u) = L(L(x,y,z) \ 1,x,L(u,y,z)). a(x,x,L(L(y,z,u) \ 1,y,L(L(y,x,x),z,u))) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). a(x,x,L(y,z,u) \ 1) * L(y \ 1,x,x) = (L(y,z,u) \ 1) * L(y \ L(y,z,u),x,x). a(L(x,y,z),u,u) * L(x \ 1,u,u) = (L(x,y,z) \ 1) * L(x \ L(x,y,z),u,u). a(x,y,L(y,z,u)) * L(x \ 1,y,y) = (L(x,z,u) \ 1) * L(x \ L(x,z,u),y,y). a(x,y,z) * L(x \ 1,u,u) != w | L(x,u,u) \ a(x,y,z) = w. L(x,y,y) \ a(x,y,L(y,z,u)) = (L(x,z,u) \ 1) * L(x \ L(x,z,u),y,y). x != (L(y,z,u) \ 1) * L(y \ L(y,w,v5),v6,v7) | L(y,z,u) \ L(y \ L(y,w,v5),v6,v7) = x. L(x,y,z) \ L(x \ L(x,y,z),u,u) = L(x,u,u) \ a(x,u,L(u,y,z)). x != L(y,z,z) \ a(y,z,L(z,u,w)) | y \ a(a(y,z,z),u,w) = x. x \ a(a(x,y,y),z,u) = L(x,z,u) \ L(x \ L(x,z,u),y,y). L(x,y,z) \ L(x \ L(x,y,z),u,u) = x \ a(a(x,u,u),y,z). (x * (x \ a(a(x,y,y),z,u))) \ 1 = a(y,y,x \ L(x,z,u)). a(a(x,y,y),z,u) \ 1 = a(y,y,x \ L(x,z,u)). a(x,x,y \ L(y,z,u)) = a(a(y,x,x),z,u) \ 1. a(x \ L(x,y,z),u,u) = a(a(x,u,u),y,z). x != a(a(y,z,z),u,w) | a(a(z,z,y),u,w) \ 1 = x. a(a(x,x,y),z,u) \ 1 = a(y \ L(y,z,u),x,x). a(x \ L(x,y,z),u,u) = a(a(u,u,x),y,z) \ 1. a(a(x,x,y),z,z) = a(a(y * x,z,z),x,y). a(a(x * y,z,z),y,x) = a(a(y,y,x),z,z). a(x,x,y \ L(y,z,u)) = a(a(x,x,y),z,u). a(x * R(x \ 1,y,z),u,u) = a(a(u,u,x),y \ 1,z \ 1). a(a(x,x,y),z \ 1,u \ 1) = a(y * R(y \ 1,z,u),x,x). a(a(a(x,x,y),z,u),w,x) = 1. L(x,a(a(y,y,z),u,w),y) = x. (x \ 1) \ a(a(x,x,y),z,u) = x * a(a(x,x,y),z,u). (x * y) * L(a(a(y,y,z),u,w),y,x) = x * ((y \ 1) \ a(a(y,y,z),u,w)). a(a(x,x,y),z \ 1,u) != w | a(a(x,x,y),z,u \ 1) = w. a(a(x,x,y),z,(u \ 1) \ 1) = a(y * R(y \ 1,z,u),x,x). a(a(x,x,y),z,u) = a(y * R(y \ 1,z,u),x,x). a(x * R(x \ 1,y,z),u,u) = a(a(u,u,x),y,z). a(x * R(x \ 1,y,z),u,u) != w | a(a((y * z) \ (x \ (y * z)),y,z),u,u) = w. a(a((x * y) \ (z \ (x * y)),x,y),u,u) = a(a(u,u,z),x,y). L(x,x,a(y,y,z) \ x) = x * a(a((x * x) \ (z \ (x * x)),x,x),y,y). x * a(a((x * x) \ (y \ (x * x)),x,x),z,z) = L(x,x,a(z,z,y) \ x). x * a(a(x \ (y \ (x * x)),x,x),z,z) = L(x,x,a(z,z,y) \ x). x * a(a(y \ (x * x),x,x),z,z) = L(x,x,a(z,z,y) \ x). x * a(a(y \ x,x,x),z,z) = L(x,x,a(z,z,y) \ x). x * a(a(x,x,y),z,z) = L(x,x,a(z,z,y) \ x). L(x,x,a(y,y,z) \ x) = x * a(a(x,x,z),y,y). (x * y) * a(a(y,y,L(z,y,x)),u,w) = x * ((y \ 1) \ a(a(y,y,z),u,w)). (x * y) * a(a(y,y,z),u,w) = x * ((y \ 1) \ a(a(y,y,z),u,w)). x * ((y \ 1) \ a(a(y,y,z),u,w)) = (x * y) * a(a(y,y,z),u,w). x * (y * a(a(y,y,z),u,w)) = (x * y) * a(a(y,y,z),u,w). (x * y) * a(a(y,y,z),u,w) = x * (y * a(a(y,y,z),u,w)). R(x,y,a(a(y,y,z),u,w)) = x. L(L(x,y,z) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. L(L(x,y,z) \ (u \ ((u * x) * (x \ L(x,y,z)))),(x * (x \ L(x,y,z))) \ ((x * ((x \ L(x,y,z)) * u)) / u),(x * (x \ L(x,y,z))) * u) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. L(a(x,y,y \ L(y,z,u)),(y * (y \ L(y,z,u))) \ ((y * ((y \ L(y,z,u)) * x)) / x),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. L(a(x,y,y \ L(y,z,u)),L(y,z,u) \ ((y * ((y \ L(y,z,u)) * x)) / x),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. L(a(x,y,y \ L(y,z,u)),L(y,z,u) \ (x \ ((x * y) * (y \ L(y,z,u)))),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. L(a(x,y,y \ L(y,z,u)),a(x,y,y \ L(y,z,u)),(y * (y \ L(y,z,u))) * x) = (a(x,y,y \ L(y,z,u)) \ 1) \ 1. a((x \ L(x,y,z)) \ 1,x \ 1,u \ 1) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. a(L(x,y,z) \ x,x \ 1,u \ 1) = (a(u,x,x \ L(x,y,z)) \ 1) \ 1. a(x,y,y \ L(y,z,u)) = a(L(y,z,u) \ y,y \ 1,x \ 1). a(L(x,y,z) \ x,x \ 1,u \ 1) = a(u,x,x \ L(x,y,z)). a(L(x,y,z) \ x,x \ 1,u) = a(u \ 1,x,x \ L(x,y,z)). a((R(x,y,z) \ x) \ 1,(x \ 1) \ 1,u) = a(u \ 1,x \ 1,(x \ 1) \ L(x \ 1,y \ 1,z \ 1)). a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a((R(y,z,u) \ y) \ 1,(y \ 1) \ 1,x). a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a(y \ R(y,z,u),(y \ 1) \ 1,x). a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = a(y \ R(y,z,u),y,x). a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) != w | a(y,y \ R(y,z,u),x) = w. (L(x,y,z) * R(L(x,y,z) \ (u * (x \ L(x,y,z))),x,x \ L(x,y,z))) / (x \ L(x,y,z)) = (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (L(x,y,z) * R(L(x,y,z) \ (u * (x \ L(x,y,z))),x,x \ L(x,y,z))) / (x \ L(x,y,z)). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (L(x,y,z) * R((L(x,y,z) \ u) * (x \ L(x,y,z)),x,x \ L(x,y,z))) / (x \ L(x,y,z)). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = (x * ((x \ L(x,y,z)) * ((L(x,y,z) \ u) * (x \ L(x,y,z))))) / (x \ L(x,y,z)). x != (y * z) / (y \ L(y,u,w)) | y * (z / (y \ L(y,u,w))) = x. x * (((x \ L(x,y,z)) * ((L(x,y,z) \ u) * (x \ L(x,y,z)))) / (x \ L(x,y,z))) = (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * (((x \ L(x,y,z)) * ((L(x,y,z) \ u) * (x \ L(x,y,z)))) / (x \ L(x,y,z))). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (((L(x,y,z) \ u) * (x \ L(x,y,z))) / (x \ L(x,y,z)))). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * ((x * (x \ L(x,y,z))) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). (x \ L(x,y,z)) \ (x * ((x \ L(x,y,z)) * (L(x,y,z) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). (x \ L(x,y,z)) \ (x * u) != w | x * ((x \ L(x,y,z)) \ u) = w. x * ((x \ L(x,y,z)) \ ((x \ L(x,y,z)) * (L(x,y,z) \ ((x \ L(x,y,z)) * u)))) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) != w | L(u,x,x \ L(x,y,z)) = w. L(x,y,y \ L(y,z,u)) = y * ((y \ L(y,z,u)) * (L(y,z,u) \ x)). x * ((x \ L(x,y,z)) * (L(x,y,z) \ u)) = L(u,x,x \ L(x,y,z)). a(x,x \ L(x,y,z),(x * (x \ L(x,y,z))) \ u) = L(u,x,x \ L(x,y,z)) \ u. a(x,x \ L(x,y,z),L(x,y,z) \ u) = L(u,x,x \ L(x,y,z)) \ u. a(x,x \ L(x,y,z),L(x,u,w) \ v5) != v6 | a(x,x \ L(x,y,z),v5) = v6. a(x,x \ L(x,y,z),u) = L(u,x,x \ L(x,y,z)) \ u. L(x,y,y \ L(y,z,u)) \ x = a(y,y \ L(y,z,u),x). a(x,x \ L(x,y,z),u) \ 1 = u \ L(u,x,x \ L(x,y,z)). a(x,y,y \ L(y,z,u)) = x \ L(x,y,y \ L(y,z,u)). x \ L(x,y,y \ L(y,z,u)) = a(x,y,y \ L(y,z,u)). (x \ 1) \ L(x \ 1,y,y \ L(y,z,u)) != w | x * R(x \ 1,y,y \ L(y,z,u)) = w. x * R(x \ 1,y,y \ L(y,z,u)) = a(x \ 1,y,y \ L(y,z,u)). (x / y) \ (x * (((y \ L(y,z,u)) \ ((y \ L(y,z,u)) / y)) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). x * R(x \ 1,y,y \ L(y,z,u)) != w | L(x,y,y \ R(y,z,u)) \ x = w. L(x,y,y \ R(y,z,u)) \ x = a(x \ 1,y,y \ L(y,z,u)). a(x \ 1,y,y \ L(y,z,u)) = L(x,y,y \ R(y,z,u)) \ x. a(x \ 1,y \ 1,(y \ 1) \ L(y \ 1,z \ 1,u \ 1)) = L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) \ x. a(x,x \ R(x,y,z),u) = L(u,x \ 1,(x \ 1) \ (L(x,y,z) \ 1)) \ u. L(x,y \ 1,(y \ 1) \ (L(y,z,u) \ 1)) \ x = a(y,y \ R(y,z,u),x). L(x,y \ 1,L(y,z,u) \ y) \ x = a(y,y \ R(y,z,u),x). L(x,y,y \ R(y,z,u)) \ x = a(y,y \ R(y,z,u),x). L(x,y,y \ R(y,z,u)) \ x != w | a(x \ 1,y,y \ L(y,z,u)) = w. a(x \ 1,y,y \ L(y,z,u)) = a(y,y \ R(y,z,u),x). a(x \ 1,y,y \ L(y,z,u)) != w | a(L(y,z,u) \ y,y \ 1,x) = w. a(L(x,y,z) \ x,x \ 1,u) = a(x,x \ R(x,y,z),u). a(x \ 1,y,y \ L(y,z,u)) != w | a(x \ K(v5,x),y,y \ L(y,z,u)) = w. a(x \ K(y,x),z,z \ L(z,u,w)) = a(z,z \ R(z,u,w),x). (x / y) \ (x * (((y \ L(y,z,u)) \ (y \ (L(y,z,u) / y))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * (((y \ L(y,z,u)) \ (y \ (y \ L(y,z,u)))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((L(y,z,u) \ (y \ L(y,z,u))) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((y \ 1) * a((y \ L(y,z,u)) * y,(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((y \ 1) * a(L(y,z,u),(y \ L(y,z,u)) \ (y \ (y \ L(y,z,u))),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((y \ 1) * a(L(y,z,u),L(y,z,u) \ (y \ L(y,z,u)),x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((y \ 1) * a(L(y,z,u),y \ 1,x))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * ((y \ 1) * a(x,y,L(y,z,u)))) = a(x / y,y,y \ L(y,z,u)). (x / y) \ (x * (L(y,y,L(x,z,u)) \ 1)) = a(x / y,y,y \ L(y,z,u)). a(x / y,y,y \ L(y,z,u)) = (x / y) \ (x * (L(y,y,L(x,z,u)) \ 1)). a(x / y,y,y \ L(y,z,u)) = (x / y) \ (x * L(y \ 1,y,L(x,z,u))). a(x \ y,x,x \ L(x,z,u)) = (y / x) \ (y * L(x \ 1,x,L(y,z,u))). a(x,y,y \ L(y,z,u)) = (x / y) \ (x * L(y \ 1,y,L(x,z,u))). (x / y) \ (x * L(y \ 1,y,L(x,z,u))) = a(x,y,y \ L(y,z,u)). (x / y) \ (x * L(y \ 1,y,L(x,z,u))) != w | (y \ x) \ (((y \ 1) * x) * L(a(y,y,x) \ 1,z,u)) = w. (x \ y) \ (((x \ 1) * y) * L(a(x,x,y) \ 1,z,u)) = a(y,x,x \ L(x,z,u)). (x \ y) \ (((x \ 1) * y) * L(a(y,x,x),z,u)) = a(y,x,x \ L(x,z,u)). (x \ y) \ (((x \ 1) * y) * a(y,x,L(x,z,u))) = a(y,x,x \ L(x,z,u)). (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) = a(y,x,x \ L(x,z,u)). (x \ y) \ (L(x \ 1,x,L(y,z,u)) * y) != w | a(a(y,x,x),z,u) = w. a(a(x,y,y),z,u) = a(x,y,y \ L(y,z,u)). a(x,y,y \ L(y,z,u)) = a(a(x,y,y),z,u). a(x \ K(y,x),z,z \ L(z,u,w)) != v5 | a(z,z \ R(z,u,w),x) = v5. a(x,x \ R(x,y,z),u) = a(a(u \ K(w,u),x,x),y,z). a(a(x \ K(y,x),z,z),u,w) = a(z,z \ R(z,u,w),x). a(x,y,y \ L(y,z,z \ 1)) = a(a(x,y,y),z,L(z \ 1,z,u)). a(a(x,y,y),z,L(z \ 1,z,u)) = a(x,y,y \ L(y,z,z \ 1)). a(a(x,y,y),z,u) \ 1 = a(y,y \ L(y,z,u),x). a(x,x \ L(x,y,z),u) = a(a(u,x,x),y,z) \ 1. (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(a(z * y,x,x),y,z)) = L(x,y,z). L(x,y,z) = (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(a(z * y,x,x),y,z)). x != a(a(y,z,z),u,w) \ v5 | a(a(z,z,y),u,w) * v5 = x. a(a(x,x,y),z,u) * 1 = a(x,x \ L(x,z,u),y). a(x,x \ L(x,y,z),u) = a(a(x,x,u),y,z) * 1. a(a(x,x,y),z,u) = a(x,x \ L(x,z,u),y). a(x,x \ L(x,y,z),u) = a(a(x,x,u),y,z). x * a(a(x,x,y),z,u) = R(x,x \ L(x,z,u),y). R(x,x \ L(x,y,z),u) = x * a(a(x,x,u),y,z). L(x,a(a(y,y,z),u,w),y) = R(y,y \ L(y,u,w),z) \ (y * (a(a(y,y,z),u,w) * x)). R(x,x \ L(x,y,z),u) \ (x * (a(a(x,x,u),y,z) * w)) = L(w,a(a(x,x,u),y,z),x). R(x,x \ L(x,y,z),u) * L(w,a(a(x,x,u),y,z),x) = x * (a(a(x,x,u),y,z) * w). x \ (L(y,a(a(x,x,z),u,w),x) * R(x,x \ L(x,u,w),z)) = a(a(x,x,z),u,w) * T(y,x * a(a(x,x,z),u,w)). R(T(x / y,R(y,y \ L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). a(a(x,x,y),z,u) = a(x,x \ R(x,z,u),y). a(x,x \ R(x,y,z),u) = a(a(x,x,u),y,z). a(x,x \ R(x,y,z),u) != w | a(L(x,y,z) \ x,x \ 1,u) = w. a(L(x,y,z) \ x,x \ 1,u) = a(a(x,x,u),y,z). a(a(x,y,y),z,L(z \ 1,z,u)) = a(x,y,a(z,z,y)). a(x,y,L(y \ 1,z,u)) != w | a(y,y,L(x,z,u)) = w. a(x,x,L(a(y,z,z),x,u)) = a(y,z,a(x,x,z)). a(x,x,L(a(y,z,z),x,u)) != w | a(a(z,z,y),x,x) = w. a(a(x,x,y),z,z) = a(y,x,a(z,z,x)). x * a(y,z,a(x,x,z)) = L(x,x,a(y,z,z)). a(a(x,x,y),z,z) != u | a(a(y * x,z,z),x,y) = u. a(a(x * y,z,z),y,x) = a(x,y,a(z,z,y)). L(x,x,a(y,y,z) \ x) = x * a(z,x,a(y,y,x)). x != y * a(z,y,a(u,u,y)) | L(y,a(y,u,u),z) = x. L(x,a(x,y,y),z) = L(x,x,a(y,y,z) \ x). L(x,x,a(y,y,z) \ x) = L(x,a(x,y,y),z). L(x,x,a(y,z,z) * x) = L(x,a(x,z,z),y). L(x,x,a(y,z,z)) = L(x,a(x,z,z),y). L(x,a(x,y,y),z) = L(x,x,a(z,y,y)). L(x,a(x,y,y),x \ z) != u | L(x,a(x,y,y),z) = u. L(x,a(x,y,y),z) = L(x,x,a(x \ z,y,y)). L(x,x,a(x \ y,z,z)) = L(x,a(x,z,z),y). L(x \ y,a(y,x,x),z) = L(x \ y,x \ y,a(z,x,x)). L(x \ y,x \ y,a(z,x,x)) = L(x \ y,a(y,x,x),z). x != L(y,a(y,z,z),u) | L(y,y,a(u,z,z)) = x. L(x,x,a(y,z,z)) = L(x,x,a(x \ y,z,z)). L(x,x,a(x \ y,z,z)) = L(x,x,a(y,z,z)). L(x,y,z) = (a(x \ 1,y \ 1,z \ 1) \ 1) * (x * a(z,y,a(x,x,y))). L(x,y,z) = (a(x \ 1,y \ 1,z \ 1) \ 1) * L(x,x,a(z,y,y)). (a(x \ 1,y \ 1,z \ 1) \ 1) * L(x,x,a(z,y,y)) = L(x,y,z). (a(x \ 1,y,z) \ 1) * L(x,u,w) != v5 | a(x \ 1,y,z) \ L(x,u,w) = v5. a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z,y,y)) = L(x,y,z). x != L(y \ L(y,z,u),y,L(y,w,v5) \ v6) | L(y \ L(y,z,u),y,v6) = x. L(x \ L(x,y,z),x,u) = a((x \ L(x,y,z)) \ 1,x \ 1,(L(x,w,v5) \ u) \ 1) \ L(x \ L(x,y,z),x \ L(x,y,z),a(L(x,w,v5) \ u,x,x)). a((x \ L(x,y,z)) \ 1,x \ 1,(L(x,u,w) \ v5) \ 1) \ L(x \ L(x,y,z),x \ L(x,y,z),a(L(x,u,w) \ v5,x,x)) = L(x \ L(x,y,z),x,v5). x != L(y,z,u * y) | L(y,z,y * u) = x. L(x,y,x * z) = a(x \ 1,y \ 1,(z * x) \ 1) \ L(x,x,a(z * x,y,y)). a(x \ 1,y \ 1,(z * x) \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,x * z). a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(x \ z,y,y)) = L(x,y,x \ z). a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z,y,y)) = L(x,y,x \ z). a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z,y,y)) != u | L(x,y,z) = u. L(x,y,z) = L(x,y,x \ z). L(x,y,x \ z) = L(x,y,z). L(x,y,z) = L(x,y,x * z). L(x,y,x * z) = L(x,y,z). a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,x * z). x != L(y,z,y * u) | L(y,z,u) = x. L(x,y,z) = a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z * x,y,y)). a(x \ 1,y \ 1,z \ 1) \ L(x,x,a(z * x,y,y)) = L(x,y,z). a(x,x,L(y \ 1,z,u)) \ L(x,x,a(y * x,L(x,z,u),L(x,z,u))) = L(x,L(x,z,u),y). R(x,x \ L(x,y,z),u) \ w = L(a(a(u,x,x),y,z) * (x \ w),a(a(x,x,u),y,z),x). L(a(a(x,y,y),z,u) * (y \ w),a(a(y,y,x),z,u),y) = R(y,y \ L(y,z,u),x) \ w. R(x,x \ L(x,y,z),u) * w = x * (a(a(x,x,u),y,z) * w). R(x,y,z) * (x \ y) != u | (y / x) * R(x,y,z) = u. ((x \ L(x,y,z)) / x) * R(x,x \ L(x,y,z),u) = x * (a(a(x,x,u),y,z) * (x \ (x \ L(x,y,z)))). L(x,a(a(y,y,z),u,w),y) != v5 | x = v5. a(a(x,y,y),z,u) * (y \ w) = R(y,y \ L(y,z,u),x) \ w. R(x,x \ L(x,y,z),u) \ w = a(a(u,x,x),y,z) * (x \ w). a(x,y,L(y,z,u)) \ L(y,y,a(x * y,L(y,z,u),L(y,z,u))) = L(y,L(y,z,u),x). a(x,y,L(y,z,u)) \ y = L(y,L(y,z,u),x). a(x,x,L(y,z,u)) * x = L(x,L(x,z,u),y). x * a(x,x,L(y,z,u)) = L(x,L(x,z,u),y). L(x,x,L(y,z,u)) = L(x,L(x,z,u),y). L(x,L(x,y,z),u) = L(x,x,L(u,y,z)). L(L(x,x,L(y,z,u)),w,v5) \ L(x,L(x,z,u),y) = L(L(x,w,v5) \ x,L(x,z,u),y). L(L(x,x,L(y,z,u)),w,v5) \ L(x,x,L(y,z,u)) = L(L(x,w,v5) \ x,L(x,z,u),y). L(L(x,y,z) \ x,x,L(u,w,v5)) = L(L(x,y,z) \ x,L(x,w,v5),u). L(L(x,y,z) \ x,L(x,u,w),v5) = L(L(x,y,z) \ x,x,L(v5,u,w)). L(L(x,y,z) \ x,x,L(z * y,y,z)) != u | a(z,y,x) = u. x \ (y * R(x,x \ L(x,z,u),w)) = a(a(x,x,w),z,u) * T(y,x * a(a(x,x,w),z,u)). a(a(x,x,y),z,u) * T(w,x * a(a(x,x,y),z,u)) = x \ (w * R(x,x \ L(x,z,u),y)). x != y \ (z * R(y,u,w)) | (y \ z) * R(y,u,w) = x. (x \ y) * R(x,x \ L(x,z,u),w) = a(a(x,x,w),z,u) * T(y,x * a(a(x,x,w),z,u)). a(a(x,x,y),z,u) * T(w,x * a(a(x,x,y),z,u)) = (x \ w) * R(x,x \ L(x,z,u),y). a(a(x,x,y),z,u) * T(w,R(x,x \ L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). a(a(x,x,y),z,u) * T(w,L(x,x \ L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). a(a(x,x,y),z,u) * T(w,L(x,L(x,z,u),y)) = (x \ w) * R(x,x \ L(x,z,u),y). a(a(x,x,y),z,u) * T(w,L(x,x,L(y,z,u))) = (x \ w) * R(x,x \ L(x,z,u),y). a(a(x,x,y),z,u) * T(w,x) = (x \ w) * R(x,x \ L(x,z,u),y). (x \ y) * R(x,x \ L(x,z,u),w) = a(a(x,x,w),z,u) * T(y,x). x != a(a(y,y,z),u,w) * T(v5,v6) | T(a(a(y,y,z),u,w) * v5,v6) = x. T(a(a(x,x,y),z,u) * w,x) = (x \ w) * R(x,x \ L(x,z,u),y). (x \ y) * R(x,x \ L(x,z,u),w) = T(a(a(x,x,w),z,u) * y,x). R(T(x / y,L(y,y \ L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). R(T(x / y,L(y,L(y,z,u),w)),y,a(a(y,y,w),z,u)) = (y * a(a(y,y,w),z,u)) \ (x * a(a(y,y,w),z,u)). R(T(x / y,L(y,y,L(z,u,w))),y,a(a(y,y,z),u,w)) = (y * a(a(y,y,z),u,w)) \ (x * a(a(y,y,z),u,w)). R(T(x / y,y),y,a(a(y,y,z),u,w)) = (y * a(a(y,y,z),u,w)) \ (x * a(a(y,y,z),u,w)). (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = R(T(w / x,x),x,a(a(x,x,y),z,u)). (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = R(x \ w,x,a(a(x,x,y),z,u)). x != R(y,z,a(a(z,z,u),w,v5)) | y = x. x \ y = (x * a(a(x,x,z),u,w)) \ (y * a(a(x,x,z),u,w)). (x * a(a(x,x,y),z,u)) \ (w * a(a(x,x,y),z,u)) = x \ w. R(x,x \ L(x,y,z),u) \ (w * a(a(x,x,u),y,z)) = x \ w. R(x,x \ L(x,y,z),u) \ w != v5 | a(a(u,x,x),y,z) * (x \ w) = v5. a(a(x,y,y),z,u) * (y \ (w * a(a(y,y,x),z,u))) = y \ w. x * (a(a(x,x,y),z,u) * (x \ w)) = w * a(a(x,x,y),z,u). x * (a(a(x,x,y),z,u) * (x \ (x \ L(x,z,u)))) != w | ((x \ L(x,z,u)) / x) * R(x,x \ L(x,z,u),y) = w. ((x \ L(x,y,z)) / x) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). (x \ (L(x,y,z) / x)) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). (x \ (x \ L(x,y,z))) * R(x,x \ L(x,y,z),u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). (x \ y) * R(x,x \ L(x,z,u),w) != v5 | T(a(a(x,x,w),z,u) * y,x) = v5. T(a(a(x,x,y),z,u) * (x \ L(x,z,u)),x) = (x \ L(x,z,u)) * a(a(x,x,y),z,u). a(L(x,y,z) \ x,x \ 1,(L(x,u,w) \ v5) \ 1) \ L(x \ L(x,y,z),x \ L(x,y,z),a(L(x,u,w) \ v5,x,x)) = L(x \ L(x,y,z),x,v5). a(a(x,x,(L(x,y,z) \ u) \ 1),w,v5) \ L(x \ L(x,w,v5),x \ L(x,w,v5),a(L(x,y,z) \ u,x,x)) = L(x \ L(x,w,v5),x,u). a(a(L(x,y,z) \ u,x,x),w,v5) \ L(x \ L(x,w,v5),x \ L(x,w,v5),a(L(x,y,z) \ u,x,x)) = L(x \ L(x,w,v5),x,u). a(a(x,y,y),z,u) \ L(y \ L(y,z,u),y \ L(y,z,u),a(L(y,w,v5) \ x,y,y)) = L(y \ L(y,z,u),y,x). a(a(x,y,y),z,u) \ L(y \ L(y,z,u),y \ L(y,z,u),a(x,y,y)) = L(y \ L(y,z,u),y,x). a(a(x,y,y),z,u) \ L(y \ L(y,z,u),a(L(y,z,u),y,y),x) = L(y \ L(y,z,u),y,x). a(a(x,y,y),z,u) \ L(y \ L(y,z,u),1,x) = L(y \ L(y,z,u),y,x). a(a(x,y,y),z,u) \ (y \ L(y,z,u)) = L(y \ L(y,z,u),y,x). a(a(x,y,y),z,u) \ w != v5 | a(a(y,y,x),z,u) * w = v5. a(a(x,x,y),z,u) * (x \ L(x,z,u)) = L(x \ L(x,z,u),x,y). T(L(x \ L(x,y,z),x,u),x) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). (x \ L(x,y,z)) * a(a(x,x,u),y,z) = T(L(x \ L(x,y,z),x,u),x). L(T(x \ L(x,y,z),x),x,u) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). (x \ L(x,y,z)) * a(a(x,x,u),y,z) = L(T(x \ L(x,y,z),x),x,u). (x \ L(x,y,z)) * a(a(x,x,u),y,z) = L(x \ L(x,y,z),x,u). (x \ L(x,y,z)) * a(a(x,x,u),y,z) = L(x \ L(x,y,z),x,L(u,w,z)). L(x \ L(x,y,z),x,L(u,w,z)) = (x \ L(x,y,z)) * a(a(x,x,u),y,z). x != (y \ L(y,z,u)) * a(a(y,y,w),z,u) | L(y \ L(y,z,u),y,w) = x. L(x \ L(x,y,z),x,u) = L(x \ L(x,y,z),x,L(u,w,z)). L(x \ L(x,y,z),x,L(u,w,z)) = L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,u) \ 1 = L(L(x,y,z) \ x,x,L(u,w,z)). L(L(x,y,z) \ x,x,L(u,w,z)) = L(x \ L(x,y,z),x,u) \ 1. x != L(y \ L(y,z,u),y,w) \ 1 | L(L(y,z,u) \ y,y,w) = x. L(L(x,y,z) \ x,x,u) = L(L(x,y,z) \ x,x,L(u,w,z)). L(L(x,y,z) \ x,x,L(u,w,z)) = L(L(x,y,z) \ x,x,u). a(x,y,z) = L(L(z,y,x) \ z,z,x * y). x != L(L(y,z,u) \ y,y,u * z) | a(y \ 1,z \ 1,u \ 1) = x. a(x \ 1,y \ 1,z \ 1) = a(z,y,x). a(x,y,z) = a(x,y,L(z,y,x)). a(x,y,L(z,y,x)) = a(x,y,z). a(x,y,(x * y) \ z) = a(x,y,y \ (x \ z)). a(x,x \ y,y \ (x * z)) = a(x,x \ y,(x \ y) \ z). a(x,x \ y,(x \ y) \ z) = a(x,x \ y,y \ (x * z)). a(x \ 1,y \ 1,R(z,y,x) \ 1) = a(x \ 1,y \ 1,z \ 1). x != a(y,z,z \ (y \ u)) | a(y,z,z \ u) = x. a(x,y,y \ z) = a(x,y,(x * y) \ z). a(x,y,(x * y) \ z) = a(x,y,y \ z). a(x,x \ y,y \ z) = a(x,x \ y,(x \ y) \ z). a(x,x \ y,(x \ y) \ z) = a(x,x \ y,y \ z). a(x,x \ y,(x \ y) \ z) != u | a(x,x \ y,y \ z) = u. a(x,x \ y,y \ z) = a(x,x \ y,y \ (x * z)). a(x,x \ y,y \ (x * z)) = a(x,x \ y,y \ z). a(x,x \ y,y \ z) \ z = (x \ y) * (y \ (x * z)). x * ((x \ y) * (y \ z)) = (x \ y) * (y \ (x * z)). (x \ y) * (y \ (x * z)) = x * ((x \ y) * (y \ z)). (x \ (x * y)) * L(z,y,x) = x * ((x \ (x * y)) * ((x * y) \ (y * z))). x * ((x \ (x * y)) * ((x * y) \ (y * z))) = (x \ (x * y)) * L(z,y,x). a(x \ 1,y \ 1,z \ 1) != u | a(z,y,x) = u. a(R(x,y,z),y,z) = a(z \ 1,y \ 1,x \ 1). x != a(y \ 1,z \ 1,u \ 1) | a(u,z,y) = x. a(x,y,z) = a(R(x,y,z),y,z). a(R(x,y,z),y,z) = a(x,y,z). T(x,y) * (z * a(x,z,u)) = K(x,y) * (R(x,z,u) * z). K(x,y) * (R(x,z,u) * z) = T(x,y) * (z * a(x,z,u)). L(x,y,z) = (K(z,y) * (R(z,y,x) * y)) \ (T(z * y,y) * x). L(x,y,z) = T(R(z,y,x) * y,y) \ (T(z * y,y) * x). x != T(R(y,z,u) * z,z) \ (T(y * z,z) * u) | L(u,z,R(y,z,u)) = x. L(x,y,R(z,y,x)) = L(x,y,z). L(x,y,R(z,y,x)) != u | (R(z,y,x) * y) \ ((z * y) * x) = u. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,x). L(x,y,z) = (R(z,y,x) * y) \ ((z * y) * x). 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 != L(y,z,u / (z * y)) | L(y,z,(z * y) \ u) = x. L(x,y,(y * x) \ z) = L(x,y,(z / x) / y). L(x,y,(z / x) / y) = L(x,y,(y * x) \ z). L(x,y,y \ (z / x)) = L(x,y,(y * x) \ z). L(x,y,(y * x) \ z) = L(x,y,y \ (z / x)). L(x,y,(y * x) \ z) != u | L(x,y,R(x \ (y \ z),x,y)) = u. L(x,y,R(x \ (y \ z),x,y)) = L(x,y,y \ (z / x)). L(x,y,(y * x) \ z) != u | ((z / (y * x)) * y) \ z = u. ((x / (y * z)) * y) \ x = L(z,y,y \ (x / z)). L(x,y,y \ (z / x)) = ((z / (y * x)) * y) \ z. L(x,y,z \ (u / x)) != w | L(x,y,z \ (x \ u)) = w. L(x,y,y \ (x \ z)) = ((z / (y * x)) * y) \ z. x != L(y,z,u \ (w / y)) | L(y,z,u \ (y \ w)) = x. L(x,y,y \ (x \ z)) = L(x,y,R(x \ (y \ z),x,y)). L(x,y,R(x \ (y \ z),x,y)) = L(x,y,y \ (x \ z)). x * ((x \ (x * y)) * ((x * y) \ (y * z))) = y * L(z,y,x). x * (y * ((x * y) \ (y * z))) = y * L(z,y,x). x \ (x * L(y,x,z)) = z * L(z \ y,x,z). L(x,y,z) = z * L(z \ x,y,z). x * L(x \ y,z,x) = L(y,z,x). L(x,y,z) * z = L(x * z,y,z). L(x * y,z,y) = L(x,z,y) * y. L((x \ 1) * y,z \ 1,u \ 1) != w | R((y \ 1) * x,z,u) \ 1 = w. R(((x \ 1) \ 1) * y,z,x) \ 1 = L(y \ 1,z \ 1,x \ 1) * (x \ 1). L(x \ 1,y \ 1,z \ 1) * (z \ 1) = R(((z \ 1) \ 1) * x,y,z) \ 1. (R(x,y,z) \ 1) * (z \ 1) = R(((z \ 1) \ 1) * x,y,z) \ 1. R(((x \ 1) \ 1) * y,z,x) \ 1 = (R(y,z,x) \ 1) * (x \ 1). (x * R(y,z,x)) \ 1 = R(((x \ 1) \ 1) * y,z,x) \ 1. R(((x \ 1) \ 1) * y,z,x) \ 1 = (x * R(y,z,x)) \ 1. R(x * y,z,x) \ 1 = (x * R(y,z,x)) \ 1. R(x * y,z,x) = x * R(y,z,x). (R(x * y,z,x) * z) \ (((x * y) * z) * x) = L(x,z,L(y,x,z)). (R(x,y,z) * y) \ ((x * y) * z) != u | L(z,y,x) = u. L(x,y,x * z) = L(x,y,L(z,x,y)). L(x,y,L(z,x,y)) = L(x,y,x * z). L(x,y,z) = L(x,y,L(z,x,y)). L(x,y,L(z,x,y)) = L(x,y,z). L(x,y,L(x \ T(z,T(y,x)),x,y)) != u | L(x,y,R(x \ z,x,y)) = u. L(x,y,R(x \ z,x,y)) = L(x,y,x \ T(z,T(y,x))). L(x,y,x \ T(z,T(y,x))) = L(x,y,R(x \ z,x,y)). L(x,y,x \ z) != u | L(x,y,z) = u. L(x,y,T(z,T(y,x))) = L(x,y,R(x \ z,x,y)). L(x,y,R(x \ z,x,y)) = L(x,y,T(z,T(y,x))). x != L(y,z,T(u,T(w,v5))) | L(y,z,T(u,w)) = x. L(x,y,T(z,y)) = L(x,y,R(x \ z,x,y)). L(x,y,R(x \ z,x,y)) = L(x,y,T(z,y)). x != L(y,z,T(u,z)) | L(y,z,u) = x. L(x,y,z) = L(x,y,R(x \ z,x,y)). L(x,y,R(x \ z,x,y)) = L(x,y,z). L(x,y,R(x \ (y \ z),x,y)) != u | L(x,y,y \ (x \ z)) = u. L(x,y,y \ (x \ z)) = L(x,y,y \ z). L(x,y,y \ (x \ z)) != u | ((z / (y * x)) * y) \ z = u. ((x / (y * z)) * y) \ x = L(z,y,y \ x). x != L(y \ z,y,y \ u) | u \ ((u / y) * z) = x. x \ ((x / y) * z) = ((x / (y * (y \ z))) * y) \ x. ((x / (y * (y \ z))) * y) \ x = x \ ((x / y) * z). ((x / y) * z) \ x = x \ ((x / z) * y). L(x \ y,x,y \ z) = z \ ((z / x) * y). L((x \ y) \ z,x \ y,z \ y) = y \ (x * z). L(x / L((y \ x) \ z,y \ x,z \ x),L(u,w,w \ u) \ v5,K(v6,u \ v5)) = x * ((y * z) \ x). L((x / y) * (z \ x),L(u,w,w \ u) \ v5,K(v6,u \ v5)) = x * ((z * y) \ x). (x / y) * (z \ x) = x * ((z * y) \ x). end_of_list.