% ******************************************************************** % AIM: NS => aa1 % % Extra assumptions: % % (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l"). % (x * (y * y)) * z = x * ((y * y) * z) # label("NucSq_m"). % (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). % % Included nil3 lemma: % % a(a(a(x,y,z),u,w),v5,v6) = 1 # label("nil3 24, aa1-Nl"). % ******************************************************************** 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 assumptions for this special case (nuclear squares) (x * x) * (y * z) = ((x * x) * y) * z # label("NucSq_l"). (x * (y * y)) * z = x * ((y * y) * z) # label("NucSq_m"). (x * y) * (z * z) = x * (y * (z * z)) # label("NucSq_r"). % included nil3 lemma a(a(a(x,y,z),u,w),v5,v6) = 1 # label("nil3 24, aa1-Nl"). end_of_list. formulas(goals). a(a(x,y,z),u,w) = 1 # label("aa1"). 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"). % obvious compatibility 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. % 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). 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. a(a(x,y,z),u,w) = 1. 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. (x * (y * z)) \ ((x * 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 * x) * (y * z) = ((x * x) * y) * z. ((x * x) * y) * z = (x * x) * (y * z). (x * (y * y)) * z = x * ((y * y) * z). (x * y) * (z * z) = x * (y * (z * z)). a(a(a(x,y,z),u,w),v5,v6) = 1. x * y != z | x * u != z | y = u. x * y != z | u * y != z | x = u. x / y != z | x / u != z | y = u. x / y != z | u / y != z | x = u. x \ y != z | x \ u != z | y = u. x \ y != z | u \ y != z | x = u. T(x,y) != z | T(u,y) != z | x = u. L(x,y,z) != u | L(w,y,z) != u | x = w. R(x,y,z) != u | R(w,y,z) != u | x = w. x * y != x * z | y = z. x * y != z * y | x = z. x / y != x / z | y = z. x / y != z / y | x = z. x \ y != x \ z | y = z. x \ y != z \ y | x = z. T(x,y) != T(z,y) | x = z. L(x,y,z) != L(u,y,z) | x = u. R(x,y,z) != R(u,y,z) | x = u. a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. x != y | x * z = y * z. x != y | z * x = z * y. x != y | x / z = y / z. x != y | z / x = z / y. x != y | x \ z = y \ z. x != y | z \ x = z \ y. x != y | y != z | x = z. a(a(c1,c2,c3),c4,c5) != 1. 1 \ x = x. x \ x = 1. x \ (y \ (y * (x * z))) = z. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y \ (y * (x \ z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (x \ (x * (y / z))) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). a(x,y / z,z) = (x * y) \ ((x * (y / z)) * z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). a(x / y,y,z) = ((x / y) * (y * z)) \ (x * z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). (x * y) * K(y,x) = y * x. K(x \ y,x) = y \ ((x \ y) * x). x \ ((y \ x) * y) = K(y \ x,y). K(x,x \ y) = ((x \ y) * x) \ y. ((x \ y) * x) \ y = K(x,x \ y). K(x,y / x) = y \ (x * (y / x)). x \ (y * (x / y)) = K(y,x / y). a(x,x,x) = K(x * x,x). K(x * x,x) = a(x,x,x). L(1,x,y) = (y * x) \ (y * x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). L(x,y \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * y). L(x,y,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). R(1,x,y) = (x * y) / (x * y). (x * y) / (x * y) = R(1,x,y). R(x,y,1) = (x * y) / (y * 1). (x * y) / (y * 1) = R(x,y,1). R(x,x \ y,z) = (y * z) / ((x \ y) * z). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). R(x,y,z) * (y * z) = (x * y) * z. R(x / y,y,z) = (x * z) / (y * z). R(x,y / z,z) = ((x * (y / z)) * z) / y. ((x * (y / z)) * z) / y = R(x,y / z,z). T(x,x) = x. x * T(y,x) = y * x. T(x,x \ y) = (x \ y) \ y. T(x / y,y) = y \ x. L(x,x,x) = T(x,x * x). T(x,x * x) = L(x,x,x). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,u,w),v5,v6),y,z). L(L(L(x,y,z),u,w),v5,v6) = L(L(L(x,v5,v6),y,z),u,w). x * y = (z * z) * (((z * z) \ x) * y). (x * x) * (((x * x) \ y) * z) = y * z. ((x * x) * (y * z)) / z = (x * x) * y. R((x * x) * y,z,u) = (((x * x) * (y * z)) * u) / (z * u). (((x * x) * (y * z)) * u) / (z * u) = R((x * x) * y,z,u). (x * ((y * y) * z)) / z = x * (y * y). a(x * (y * y),z,u) = (x * ((y * y) * (z * u))) \ (((x * (y * y)) * z) * u). (x * ((y * y) * (z * u))) \ (((x * (y * y)) * z) * u) = a(x * (y * y),z,u). (x * (y * (z * z))) * u = (x * y) * ((z * z) * u). 1 * x != y | z != y | x = z. x != y | x * z != y | 1 = z. x != y | z * u != y | z \ x = u. x != y | z * x != y | 1 = z. x * 1 != y | z != y | x = z. x != y | z * u != y | x / u = z. x != y | z \ u != y | z * x = u. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x != x * y | 1 = y. x * y != x | 1 = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x * y != z \ (z * (x * u)) | y = u. x \ (x * (y * z)) != y * u | u = z. x != y * z | y \ x = z. x * y != z | x \ z = y. x * (x \ (y * z)) != y * u | z = u. ((x * x) * y) * z != (x * x) * u | y * z = u. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x \ (x * (y * z)) != u * z | y = u. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x * (y * (z * z)) != u * (z * z) | x * y = u. x != (x * y) / z | y = z. (x * y) / z != x | y = z. x != y / z | x * z = y. x / y != z | z * y = x. x != y \ z | y * x = z. x \ y != z | x * z = y. T(x,y) != y \ z | x * y = z. x != y \ (z * x) | z = y. x \ (y * z) != z | y = x. K(x,y) != z \ (x * y) | y * x = z. x \ (y * z) != K(y,z) | z * y = x. T(T(x,y),z) != T(u,y) | T(x,z) = u. R(T(x,y),z,u) != T(w,y) | R(x,z,u) = w. T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. 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. L(x,y,a(a(z,u,w),v5,v6)) = x. ((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 * (x \ y)) / z = y / z. (x * (x \ y)) \ z = y \ z. x != y | (x / z) * z = y. (x / y) * y = (x * z) / z. (x * y) / y = (x / z) * z. (x / y) * y = z * (z \ x). (x / y) * y = x * 1. (x / y) * y = 1 * x. x != y | z * (z \ x) = y. x * (x \ y) = z \ (z * y). x \ (x * y) = z * (z \ y). x * (x \ y) = y * 1. x * (x \ y) = 1 * y. x \ (y * x) != z | T(y,x) = z. T(x,1) = x * 1. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. x != 1 \ y | x = y. 1 \ x != y | y = x. 1 \ x != y | x = y. x != y \ x | 1 = y. x \ y != y | 1 = x. (x * y) \ (y * x) != z | K(y,x) = z. K(x,x) = 1. (x \ x) * y = y. x * (y \ y) = x. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. R(x,y,z) != T(R(u,y,z),w) | T(u,w) = x. T(x,R(x,y,z)) = x. L(x,y,z) != T(L(u,y,z),w) | T(u,w) = x. T(x,L(x,y,z)) = x. T(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). x * K(y,y) = x. x != y | z / (x \ z) = y. x / (y \ x) = z / (y \ z). x / (y \ x) = (y * z) / z. (x * y) / y = z / (x \ z). x / (y \ x) = z * (z \ y). (x / (y \ x)) * z = y * z. ((x * y) * 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) / K(x,y) = y * x. (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. x != y / z | x \ y = z. x / y != z | z \ x = y. x / (y / ((z \ x) \ y)) = z. x != y | (z / x) \ z = y. (x / y) \ x = z * (z \ y). ((x / y) \ x) * z = y * z. x * ((y / (x \ z)) \ y) = z. ((x / (y / z)) \ x) \ y = z. x != y \ z | z / x = y. x \ y != z | y / z = x. x * 1 != y | T(x,1) = y. T(x,1) = x. K(x,1) = 1. T(1,x) = 1. x != T(y,1) | x = y. T(x,1) != y | y = x. T(x,1) != y | x = y. T(x,y \ y) = x. K(1,x) = 1. x * (y \ y) != z | x = z. K(x,T(x,y)) = 1. T(x,T(T(x,y),z)) = x. (x * (x \ 1)) * y != z | y = z. x != y \ y | 1 = x. x \ x != y | 1 = y. x * (y * (y \ 1)) != z | z = x. x * ((1 / y) * y) != z | z = x. (x * (x \ 1)) \ y != z | y = z. ((1 / x) * x) \ y != z | y = z. T(x,R(T(x,y),z,u)) = x. K(x,L(x,y,z)) = 1. T(x,L(L(x,y,z),u,w)) = x. x * y != (x * z) * (u * u) | z * (u * u) = y. (x \ 1) * (x * x) = x. 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)). a(x,y,y \ 1) = x \ ((x * y) * (y \ 1)). x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). L(x \ 1,x,y) = (y * x) \ y. x * ((1 / x) * (1 / x)) = 1 / x. R(1 / x,x,y) = y / (x * y). x * y != (z * z) * (u * y) | (z * z) * u = x. (x * x) * (1 / x) = x. a(x,1 / y,y) = x \ ((x * (1 / y)) * y). x \ ((x * (1 / y)) * y) = a(x,1 / y,y). x * y != z | y * T(x,y) = z. x * T(y / x,x) = y. (x \ y) * T(x,x \ y) = y. x \ (y * T(z,y)) = x \ (z * y). x * (y * T(z,y)) = x * (z * y). (x * T(y,x)) * z = (y * x) * z. x * (y * y) = T((y * y) * x,y * y). T((x * x) * y,x * x) = y * (x * x). 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 * T(x,y)) = y. a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). 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)). K(T(x,y),y) = (x * y) \ (T(x,y) * y). (x * y) \ (T(x,y) * y) = K(T(x,y),y). L(x,T(y,z),z) = (y * z) \ (z * (T(y,z) * x)). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). L(T(x,y),y,z) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). R(x,T(y,x),z) = ((y * x) * z) / (T(y,x) * z). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * T(y,x) != z * x | y = z. T(x,y) * x = x * T(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,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. T(x / y,y \ x) = x / y. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. (x / y) * y != z | x = z. 1 * x != y * z | x / z = y. x \ (y * (y \ x)) = 1. x * 1 != y * z | y \ x = z. x * (x \ y) != z | z = y. x * (x \ y) != z | y = z. (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. L(x,y \ 1,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x \ 1,x). K(x \ 1,x) = (x \ 1) * x. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). K(x,1 / x) = x * (1 / x). ((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 / (y * (y \ 1)) != z | x = z. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). x / T(y,y \ x) = y \ x. x != (y * x) / z | T(y,x) = z. (x * y) / z != y | T(x,y) = z. x / (x * x) = x \ 1. (x \ 1) \ x = x * x. T(x \ 1,x * x) = (x * x) \ x. (x * x) \ x = 1 / x. x * y = (x * x) * ((1 / x) * y). (x * x) * ((1 / x) * y) = x * y. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). x != T(y,z) | (z * x) / z = y. T(x,y) != z | (y * z) / y = x. T((x * y) / x,y) = (x * y) / x. x != y / z | z * T(x,z) = y. x / y != z | y * T(z,y) = x. x \ (1 / x) = (1 / x) * (1 / x). (1 / x) * (1 / x) = x \ (1 / x). T(L(x,x,x),y) = T(T(x,y),x * x). T(T(x,y),x * x) = T(L(x,x,x),y). x * y != z | y \ z = T(x,y). x * y != z | T(x,y) = y \ z. x * K(y,z) != y * z | x = z * y. x * K(y,z) != y * z | z * y = x. x \ y != z \ y | z = x. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x * y != z | z = y * T(x,y). (x * y) * K(y,x) != z | z = y * x. (x * y) * K(y,x) != z | y * x = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * (y \ (y * (x \ z))) != u | z = u. (x / y) \ (z * (z \ x)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x != y | y = z * (z \ x). a(x,y,y \ (x \ z)) = z \ ((x * y) * (y \ (x \ z))). x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)). L(x \ (y \ z),x,y) = (y * x) \ z. (R(x,y,z) * (y * z)) / z = x * y. R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * (x \ z) = z. x * K(y \ x,y) = (y \ x) * y. x * K(y,x / y) = y * (x / y). L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. (x * y) / T(y * x,K(x,y)) = K(x,y). x * (x \ T(y,y \ z)) = (y \ z) \ z. (x \ y) \ y = z * (z \ T(x,x \ y)). x \ T(y,y \ z) = x \ ((y \ z) \ z). x / T(y,y \ z) = x / ((y \ z) \ z). x * T(y,y \ z) = x * ((y \ z) \ z). T(x,x \ y) * z = ((x \ y) \ y) * z. T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). T(x,x \ y) != z \ y | x \ y = z. K(x,(x \ y) \ y) = 1. x * T(y,y \ z) != z | x = y \ z. x * T(y,y \ z) != z | y \ z = x. x != y | z != y | x = z. ((x / y) * y) * z != u | x \ u = z. x = (x / (y * (y \ z))) * z. (x / (y * (y \ z))) * z = x. (x * y) / (z * (z \ y)) = x. x * ((y * (z * u)) * a(y,z,u)) = x * ((y * z) * u). x / (y \ x) != z | y = z. x = y / (x \ ((y / z) * z)). x / (y \ ((x / z) * z)) = y. (x * y) / y != z * u | x / u = z. (x / y) * y != z / u | x * u = z. x / y != (z / u) * u | z * y = x. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | z = x. (x * y) / y != z | x = z. x / x != y | y = 1. x / x != y | 1 = y. x / (y \ x) != z | z = y. (x * T(y,x)) / x != z | z = y. (x * T(y,x)) / x != z | y = z. (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | y / u = z. (x * (x \ y)) / z != u | u = y / z. (x * (x \ y)) / z != u | y / z = u. x \ (x * y) != z * u | z \ y = u. 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 | u = x * z. x * (y * (y \ z)) != u | x * z = u. x \ (x * y) != z | z = y. (x / y) \ x != z | y = z. x \ (y * T(x,y)) != z | y = z. x \ (y * 1) != z | x \ y = z. x \ (1 * y) != z | x \ y = z. (x / y) \ x != z | z = y. T((x * y) / x,x) != z | z = y. (x / (y \ x)) * z != u | u = y * z. (x / (y \ x)) * z != u | y * z = u. x / (y \ x) != z * u | z \ y = u. (x * (x \ y)) \ z != u | y \ z = u. (x / y) \ x != z * u | z \ y = u. x * (x \ y) != z \ u | u / y = z. x \ y != z * (z \ u) | y / u = x. x != y * (y \ z) | z = x. x = ((y / z) \ y) * (z \ x). ((x / y) \ x) * (y \ z) = z. x = y * (((z / y) \ z) \ x). x * (((y / x) \ y) \ z) = z. ((x / y) \ x) * z != u | y \ u = z. (x / y) * ((z / y) \ z) = x. L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). x != (y \ x) * z | T(y,y \ x) = z. (x \ y) * z != y | T(x,x \ y) = z. (x \ y) \ y != z | T(x,x \ y) = z. x != T(y,z / x) | z / (z / x) = y. T(x,y / z) != z | y / (y / z) = x. T(x / (x / y),(z / (x / y)) \ z) = y. T(x / (x / y),y) = x / (x / y). T(x \ y,y / x) = x \ y. (x \ y) * (y / x) = (y / x) * (x \ y). (x / y) * (y \ x) = (y \ x) * (x / y). x != y * z | z * T(y,z) = x. x * T(x \ 1,x) = K(x \ 1,x). K(x \ 1,x) / x = x \ 1. L(x,x \ 1,y) = (y * (x \ 1)) \ (y * K(x \ 1,x)). (x * (y \ 1)) \ (x * K(y \ 1,y)) = L(y,y \ 1,x). T(x \ 1,x) = x \ K(x \ 1,x). x \ K(x \ 1,x) = T(x \ 1,x). x / L(T(y,L(y,z,u) \ x),z,u) = L(y,z,u) \ x. R(x / y,y,x \ z) = z / (y * (x \ z)). R(x,y,y \ z) * z = (x * y) * (y \ z). (x / ((y / z) * z)) * y = x. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x / T(y,y \ z)) * ((y \ z) \ z) = x. (x \ 1) * x != y | y = K(x \ 1,x). (x \ 1) * x != y | K(x \ 1,x) = y. R(x,y / z,z) * y = (x * (y / z)) * z. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. a(x,y,K(1,z)) = 1. 1 = R(1,x,y). R(1,x,y) = 1. (x * y) / y = R(x,y,1). x = R(x,y,1). R(x,y,1) = x. x * y != x * z | z = y. L(x,y,1) = x. L(x,y,a(a(z,u,w),v5,v6)) != v7 | x = v7. L(x,y,1) != z | x = z. K(x \ 1,x) != y | (x \ 1) * x = y. K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | (1 / y) * (y * x) = z. x != (y * y) \ y | 1 / y = x. 1 / x = L(x \ 1,x,x). L(x \ 1,x,x) = 1 / x. 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. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. x / L(y \ 1,y,x) = x * y. (x * y) * L(y \ 1,y,x) = x. 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). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). x * R(1 / y,y,z) = x * (z / (y * z)). R(1 / x,x,y) * z = (y / (x * y)) * z. R(1 / x,x,y) \ y = x * y. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(T(1 / x,y),x,z) = T(z / (x * z),y). T(x / (y * x),z) = R(T(1 / y,z),y,x). x * y != z \ (z * (u * x)) | T(u,x) = y. x \ (x * (y * z)) != z * u | T(y,z) = u. x * y != ((z * x) / u) * u | T(z,x) = y. ((x * y) / z) * z != y * u | T(x,y) = u. T(x,y) * z != x * y | T(y,T(x,y)) = z. x * T(T(y,x),z) != u * x | T(y,z) = u. x * ((1 / y) * y) != z * u | x / u = z. (x / y) * y != z * u | x / u = z. ((1 / x) * x) * y != z * u | y / u = z. x * (y * (y \ 1)) != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. x * T(T(y,x),z) != u | T(y,z) * x = u. x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. L(x,y,z) * x != u | x * L(x,y,z) = u. T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. T(x,x \ y) \ y != z | T(x \ y,T(x,x \ y)) = z. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. x / L(y,1 / y,x) = x * (1 / y). (x * y) \ x != z | L(y \ 1,y,x) = z. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). R(x,x \ 1,y) \ y = (x \ 1) * y. x / (y * x) != z | z = R(1 / y,y,x). x / (y * x) != z | R(1 / y,y,x) = z. T(x,y) != z | y \ (x * y) = z. T(x,x \ y) != z | (x \ y) \ y = z. T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x \ (y * T(y \ x,y)) = K(y \ x,y). K(x \ 1,x) \ 1 = K(x,x \ 1). x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. (1 / x) \ L(y,x,1 / x) = x * y. x \ L(y,x \ 1,x) = (x \ 1) * y. x * y != ((z / u) * u) * (z \ w) | x \ w = y. (x / (y * y)) \ z = (y * y) * (x \ z). x * y != (z * (z \ u)) * w | x \ (u * w) = y. x \ (y * (z * z)) = (x \ y) * (z * z). (x * x) \ (y * z) = ((x * x) \ y) * z. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. x * y != ((1 / z) * z) * u | x \ u = y. (1 / x) \ (y * y) = x * (y * y). x * y != z * (u * (u \ (z \ w))) | x \ w = y. (x * (y * y)) \ z = (y * y) \ (x \ z). ((x * x) * y) \ z = y \ ((x * x) \ z). x * y != (z * (z \ 1)) * u | x \ u = y. x \ (y * y) = (x \ 1) * (y * y). (x \ 1) * (y * y) = x \ (y * y). (x * x) \ y = ((x * x) \ 1) * y. ((x * x) \ 1) * y = (x * x) \ y. x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != (((z / u) / w) * w) * u | z / y = x. x / (y * (z * z)) = (x / (z * z)) / y. (x / (y * y)) / z = x / (z * (y * y)). x / ((y * y) * z) = (x / z) / (y * y). (x / y) / (z * z) = x / ((z * z) * y). x * y != z * (u * (u \ 1)) | z / y = x. (x * x) / (y \ 1) = (x * x) * y. x \ y != L(L(z,u,w),v5,v6) | x * L(L(z,v5,v6),u,w) = y. (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). x \ y != L(R(z,u,w),v5,v6) | x * R(L(z,v5,v6),u,w) = y. (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). x \ y != (z * u) \ (z * (u * w)) | x * L(w,u,z) = y. x * L(y,z \ x,z) = z * ((z \ x) * y). x \ y != L(z,u,a(a(w,v5,v6),v7,v8)) | x * z = y. (a(a(x,y,z),u,w) * v5) * v6 = a(a(x,y,z),u,w) * (v5 * v6). x \ y != L(T(z,u),w,v5) | x * T(L(z,w,v5),u) = y. (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). a(x,y,T(T(z,y),u)) = (x * (T(z,u) * y)) \ ((x * y) * T(T(z,y),u)). (x * (T(y,z) * u)) \ ((x * u) * T(T(y,u),z)) = a(x,u,T(T(y,u),z)). x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. T(x,y) * z != z * u | T(T(x,z),y) = u. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x / y) * T(y,z) = T(x / (x / y),z) * (x / y). T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). (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 * T(x \ y,z)) / x = T(y / x,z). T(T(x \ y,z),u) = T(T(T(y / x,z),u),x). T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). T(x / y,z) \ (y * T(y \ x,z)) = y. x * T(x \ y,z) != u | T(y / x,z) * x = u. (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. 1 / x = T(x \ 1,x * x). T(x \ 1,x * x) = 1 / x. T(1 / x,y) = T(T(x \ 1,y),x * x). T(T(x \ 1,y),x * x) = T(1 / x,y). (x * x) \ (x * y) = (1 / x) * y. x * y != z * (z \ u) | x \ u = y. (x * x) \ y = (1 / x) * (x \ y). (1 / x) * (x \ y) = (x * x) \ y. x * (y * T(z,y)) != u | x * (z * y) = u. (x * x) * (y * (1 / x)) = x * T(y,1 / x). (x * x) * y = x * ((1 / x) \ y). x * ((1 / x) \ y) = (x * x) * y. x * y != z * (u * (u \ w)) | x \ (z * w) = y. x \ ((x * x) * y) = (1 / x) \ y. (x * x) \ (x * y) != z | (1 / x) * y = z. (x * T(y,z)) / x = T((x * y) / x,z). 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 * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. T(x,(y * x) / y) = x. L(K(x \ y,x),y,z) = (z * y) \ (z * ((x \ y) * x)). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). (x \ y) * x != y * z | K(x \ y,x) = z. x \ ((y \ x) * y) != z | K(y \ x,y) = z. x * (y / x) != y * z | K(x,y / x) = z. x \ (y * (x / y)) != z | K(y,x / y) = z. K(x \ 1,x) * K(x,x \ 1) = 1. x \ y != y * y | y \ 1 = x. (x * x) \ 1 = 1 / (x * x). 1 / (x * x) = (x * x) \ 1. T(x \ 1,y * y) = (y * y) \ (x \ (y * y)). (x * x) \ (y \ (x * x)) = T(y \ 1,x * x). (x \ (y * y)) * z = (x \ 1) * ((y * y) * z). (x \ 1) * ((y * y) * z) = (x \ (y * y)) * z. x / y != z * (z \ u) | u \ x = y. x \ (y * y) = ((y * y) \ x) \ 1. ((x * x) \ y) \ 1 = y \ (x * x). L(x,y,y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x). x * y != (z * u) \ (z * (u * w)) | L(w,u,z) / y = x. L(x,y,y) / (y * x) = 1 / y. (1 / x) \ L(y,x,x) = x * y. x * y != z \ (u * T(z,u)) | x \ u = y. (1 / x) \ x = T(x * x,x). T(x * x,x) = (1 / x) \ x. T(1 / x,x * y) = (x * y) \ L(y,x,x). (x * y) \ L(y,x,x) = T(1 / x,x * y). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. (1 / x) \ L(L(y,x,x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,x). L(T(x,y),y,y) = (1 / y) * (x * y). (1 / x) * y = L(x \ y,x,x). L(x \ y,x,x) = (1 / x) * y. L(x,x,x) * y = (1 / x) * ((x * x) * y). (1 / x) * ((x * x) * y) = L(x,x,x) * y. (1 / x) * (x * y) != z | z = L(y,x,x). (1 / x) * (x * y) != z | L(y,x,x) = z. L(T(x \ y,z),x,x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,x). L(R(x \ y,z,u),x,x) = R((1 / x) * y,z,u). L((1 / x) * y,z,u) = L(L(x \ y,z,u),x,x). L(L(x \ y,z,u),x,x) = L((1 / x) * y,z,u). L(x \ y,x,x) = ((x * x) \ x) * y. ((x * x) \ x) * y = L(x \ y,x,x). x * ((x \ 1) \ y) = ((x \ 1) * (x \ 1)) \ y. ((x \ 1) * (x \ 1)) \ y = x * ((x \ 1) \ y). (x * x) * y != x * z | (1 / x) \ y = z. (x \ 1) * (x \ y) = ((x \ 1) * (x \ 1)) * y. ((x \ 1) * (x \ 1)) * y = (x \ 1) * (x \ y). x \ ((x * x) * y) != z | (1 / x) \ y = z. 1 / (x \ (y * y)) = (y * y) \ x. 1 / (x * (y * y)) = (y * y) \ (1 / x). T(x * y,L(z,y,x)) = L(z,y,x) \ (x * (y * z)). L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). x * y != z * (u * T(w,u)) | (z * (w * u)) / y = x. (x * (y * z)) / L(T(y,z),z,x) = x * z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. (x * T(y,x)) * z != u | (y * x) * z = u. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). x * L(y,z,x / z) = (x / z) * (z * y). (x * y) * z != x * (y * (u * u)) | u * u = z. x * x = L(x * x,y,z). L(x * x,y,z) = x * x. (x * (y * y)) * z != x * ((y * y) * u) | u = z. x = L(x,y * y,z). L(x,y * y,z) = x. ((x * x) * y) * z != (x * x) * (y * u) | u = z. x = L(x,y,z * z). L(x,y,z * z) = x. x * y != z * (u * (u \ (z \ (x * w)))) | w = y. x = L(y \ (z \ ((z * y) * x)),y,z). L(x \ (y \ ((y * x) * z)),x,y) = z. x \ (y * L(z,x \ y,x)) = (x \ y) * z. 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),u) = ((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u). ((x * y) * (L(z,y,x) * u)) \ ((x * (y * z)) * u) = a(x * y,L(z,y,x),u). L(x,L(y,z,u),u * z) = (u * (z * y)) \ ((u * z) * (L(y,z,u) * x)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). L(L(x,y,z),z * y,u) = (u * (z * y)) \ (u * (z * (y * x))). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). R(x * y,L(z,y,x),u) = ((x * (y * z)) * u) / (L(z,y,x) * u). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). 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 * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * (y * z)) / u != x * y | L(z,y,x) = u. (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). x \ ((x * y) * L(z,y,x)) != u | y * z = u. K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. L(x,1,y) = x. L(x,y * y,z) != u | x = u. L(x,y \ (1 / y),z) = x. x != y | z \ (z * y) = x. x \ (x * y) = L(y,1,z). L(x,1,y) = z \ (z * x). x != L(y,1,z) | x = y. L(x,1,y) != z | z = x. a(x * x,y,z) = 1. L(x,y,z * z) != u | x = u. L(x,y,z \ (1 / z)) = x. x \ y != L(z,u \ (1 / u),w) | x * z = y. (x * (y \ (1 / y))) * z = x * ((y \ (1 / y)) * z). x * y != L(z,u \ (1 / u),w) | x \ z = y. (1 / (x \ (1 / x))) \ y = (x \ (1 / x)) * y. L(x,y \ (1 / y),z) != u | x = u. x \ y != L(z,u,w \ (1 / w)) | x * z = y. ((x \ (1 / x)) * y) * z = (x \ (1 / x)) * (y * z). x != y \ (z * T(y,z)) | z = x. x = L(y \ T(x * y,x),y,x). L(x \ T(y * x,y),x,y) = y. x != y \ (z * T(u,z)) | y \ (u * z) = x. (x * y) \ (z * x) = L(y \ T(z,x),y,x). L(x \ T(y,z),x,z) = (z * x) \ (y * 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 * (y \ 1)) \ z | z = x. x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. x \ (y * z) = L((y \ x) \ z,y \ x,y). L((x \ y) \ z,x \ y,x) = y \ (x * z). x != y \ (z * (y / z)) | K(z,y / z) = x. K(x,(x * y) / x) = L(y \ ((x * y) / x),y,x). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. L(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). R((x * y) \ (x * z),u,w) = L(R(y \ z,u,w),y,x). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). x / L(y \ z,y,x / z) = (x / z) * y. L((x \ 1) \ y,x \ 1,x) != z | x * 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)). L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)). x != L(y,z,x) | z \ T(x * z,x) = y. L(x,y,z) != z | y \ T(z * y,z) = x. R(x / y,y,x \ z) \ z = y * (x \ z). x * y != (z * T(u,z)) * w | x \ ((u * z) * w) = y. R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. x * y != (z * u) * K(u,z) | x \ (u * z) = y. R(x,y,K(y,x)) \ (y * x) = y * K(y,x). R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). x * y != ((((z * y) / u) / w) * w) * u | z = x. x = R(((x * (y * z)) / z) / y,y,z). R(((x * (y * z)) / z) / y,y,z) = x. x * (y * (z * z)) != (u * y) * (z * z) | u = x. x = R(x,y,z * z). R(x,y,z * z) = x. x * ((y * y) * z) != (u * (y * y)) * z | u = x. x = R(x,y * y,z). R(x,y * y,z) = x. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)). ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). R(R(x,y,z),y * z,u) = (((x * y) * z) * u) / ((y * z) * u). (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). R(x,R(y,z,u),z * u) = ((x * R(y,z,u)) * (z * u)) / ((y * z) * u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. R(x,y,z) * (y * z) != u * z | x * y = u. R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). ((x * y) * z) / (y * z) != u | u = R(x,y,z). (x * (1 / y)) * y != z | z = R(x,1 / y,y). (x * (1 / y)) * y != z | R(x,1 / y,y) = z. x * y != R(x * z,u,w * w) | y = z. R(x * y,z,u * u) != x * w | w = y. R(x,y,z * z) != u | x = u. R(x,y,z \ (1 / z)) = x. R(x,1,y) = x. R(x,y * y,z) != u | x = u. x * (y * (z \ (1 / z))) = (x * y) * (z \ (1 / z)). (x * y) * (z \ (1 / z)) = x * (y * (z \ (1 / z))). x != y / ((1 / z) * z) | y = x. x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. x != y / (z * (z \ 1)) | y = x. x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. R(T(x / y,z),y,u) = T((x * u) / (y * u),z). T((x * y) / (z * y),u) = R(T(x / z,u),z,y). R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). x \ y != z * u | u = z \ (x \ y). x \ y != z * u | z \ (x \ y) = u. x \ (y * (y \ x)) != z * u | u = z \ 1. x \ (y * (y \ x)) != z * u | z \ 1 = u. x * y != z * u | z \ (x * y) = u. x \ (x * y) != z * u | y / u = z. x \ x != y * z | 1 / z = y. x \ (y * (y \ x)) != z * u | 1 / u = z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. (x * y) / L(z,y / z,x) = x * (y / z). R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). x * K(x \ 1,x) = L(x,x \ 1,x). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). R(x,y,y \ 1) / (y \ 1) != z | z = x * y. R(x,y,y \ 1) / (y \ 1) != z | x * y = z. L((x \ 1) \ 1,x \ 1,y * x) = R(y,x,x \ 1) \ (y * x). ((x * y) * z) * ((y * z) \ 1) = R(R(x,y,z),y * z,(y * z) \ 1). R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). T(x * (1 / y),y) = y \ R(x,1 / y,y). x \ R(y,1 / x,x) = T(y * (1 / x),x). x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). x != T(L(y,z,u),w) | L(T(y,w),z,u) = x. L(T(x,y),x,x) = T(T(x,y),x * x). T(T(x,y),x * x) = L(T(x,y),x,x). x * (y \ (y * z)) != u | x * z = u. L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). (x * y) \ z != L(u,y,x) | y \ (x \ z) = u. L(x,y,z) != (z * y) \ u | y \ (z \ u) = x. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. (x * (y * y)) \ z != u | (y * y) \ (x \ z) = u. (x * (x \ y)) * z != u | y * z = u. R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * y) / y != z * u | z \ x = u. x * (y * (y \ z)) != u * w | u \ (x * z) = w. x * (y \ (y * (x \ z))) != u * w | z / w = u. x * (y * (y \ z)) != u * w | (x * z) / w = u. ((x / y) * y) / z != u | x / z = u. (x * (x \ 1)) * y != z * u | z \ y = u. x \ ((x * y) * L(z,y,x)) != u * w | u \ (y * z) = w. R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. x \ y != z * (u \ (u * (z \ w))) | x * w = y. x \ y != (z * u) * K(u,z) | x * (u * z) = y. x \ y != z \ (z * u) | x * u = y. x \ (x * y) != z \ u | z * y = u. L(x \ y,x,x) != z | (1 / x) * y = z. (x * (y * z)) / L(z,y,x) != u * w | u \ (x * y) = w. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. K((x \ y) \ 1,y \ x) = 1. K(((x * y) \ x) \ 1,y) = 1. x \ y != L(z,u * u,w) | x * z = y. x * ((y * y) \ 1) = x / (y * y). L(T(x \ 1,y),x,z / x) = T(z \ (z / x),y). T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). x * y != z / (z * z) | x \ (z \ 1) = y. x \ (x \ 1) = (x * x) \ 1. (x * x) \ 1 = x \ (x \ 1). (x * x) \ 1 != y | 1 / (x * x) = y. 1 / (x * x) = x \ (x \ 1). (x \ (x \ 1)) * y = (x * x) \ y. x * (y \ (y \ 1)) = x / (y * y). x * (y \ (y \ 1)) = (y * y) \ T(x,y \ (y \ 1)). (x * x) \ T(y,x \ (x \ 1)) = y * (x \ (x \ 1)). x * y != z \ (z * u) | x \ u = y. (x \ (x \ 1)) \ y = (x * x) * y. R(x,y \ (y \ 1),z) = ((x * (y \ (y \ 1))) * z) / ((y * y) \ z). ((x * (y \ (y \ 1))) * z) / ((y * y) \ z) = R(x,y \ (y \ 1),z). R(T(1 / x,y),x,x \ z) = T((x \ z) / z,y). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). 1 / (x / (y * y)) = (y * y) / x. (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. x * (y \ (y * (x \ z))) != u * w | u \ z = w. x * (y * (y \ (x \ z))) != u * w | u \ z = w. x / ((y \ 1) * x) != z | z = R(y,y \ 1,x). x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. (x \ 1) * y != x \ z | L(y,x \ 1,x) = z. x \ y != (x \ 1) * z | L(z,x \ 1,x) = y. x * y != R(z,y,y \ 1) / (y \ 1) | x = z. R(x,y,y \ 1) / (y \ 1) != z * y | z = x. (x * y) \ (x * z) != u | L(y \ z,y,x) = u. L((1 / x) * y,z,u) = L(L(x \ y,z,u),x,1 / x). L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). (x * y) / (z * y) != u | u = R(x / z,z,y). (x * y) / (z * y) != u | R(x / z,z,y) = u. x * y != z | R(1 / x,x,y) \ y = z. R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). (x * (x \ y)) * z != u * w | u \ (y * z) = w. x * (y * T(z,y)) != u * w | u \ (x * (z * y)) = w. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. ((x / y) \ x) * z != u | y * z = u. R((x / y) / z,z,y) != u | x / (z * y) = u. (x * y) \ (x * (y * z)) != u \ w | u * L(z,y,x) = w. ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. T(x,y * y) = ((y * y) \ x) * (y * y). ((x * x) \ y) * (x * x) = T(y,x * x). x * y != (z / u) * u | x \ z = y. (x * x) \ y = ((x * x) \ (y / z)) * z. ((x * x) \ (y / z)) * z = (x * x) \ y. x \ ((y * y) * z) = ((y * y) \ x) \ z. ((x * x) \ y) \ z = y \ ((x * x) * z). (x * y) * z = (u * u) * ((((u * u) \ x) * y) * z). (x * x) * ((((x * x) \ y) * z) * u) = (y * z) * u. (x * x) \ (y * z) != u | ((x * x) \ y) * z = u. ((x * x) * y) / z = (x * x) * (y / z). ((x * x) * y) * z != u | u = (x * x) * (y * z). ((x * x) * y) * z != u | (x * x) * (y * z) = u. (x * y) / (1 / y) = x * (y * y). (x * (y * y)) * z != u | u = x * ((y * y) * z). (x * (y * y)) * z != u | x * ((y * y) * z) = u. x / (1 / y) = (x / y) * (y * y). (x / y) * (y * y) = x / (1 / y). x / (1 / (y \ x)) = y * ((y \ x) * (y \ x)). x * ((x \ y) * (x \ y)) = y / (1 / (x \ y)). x * y != z * (u * u) | x \ ((z * u) / (1 / u)) = y. (x * x) \ ((y * x) / (1 / x)) = T(y,x * x). (x * (y \ 1)) / y = x * ((y \ 1) * (y \ 1)). x * ((y \ 1) * (y \ 1)) = (x * (y \ 1)) / y. (x * T(y,y \ 1)) / (y \ 1) = x * (T(y,y \ 1) * T(y,y \ 1)). x * (T(y,y \ 1) * T(y,y \ 1)) = (x * T(y,y \ 1)) / (y \ 1). (x / y) * (y * y) != z | x / (1 / y) = z. (x / (1 / y)) * z = (x / y) * ((y * y) * z). (x / y) * ((y * y) * z) = (x / (1 / y)) * z. x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * L(x \ (y * x),z,u) = L(y,z,u) * x. x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. x * L(x \ y,z,u) = L(y / x,z,u) * x. L(x / y,z,u) * y = y * L(y \ x,z,u). x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x != R(y,z,u) * (z * u) | (y * z) * u = x. (x * y) * z = (y * z) * R(T(x,y * z),y,z). (x * y) * R(T(z,x * y),x,y) = (z * x) * y. (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). (x / y) * R(y,z,u) = R(x / (x / y),z,u) * (x / y). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. (x * x) * y != z * (u * (x * x)) | T(z * u,x * x) = y. T(x * y,x * x) = (1 / x) * (y * (x * x)). (1 / x) * (y * (x * x)) = T(x * y,x * x). T(x * y,z * z) = ((z * z) \ x) * (y * (z * z)). ((x * x) \ y) * (z * (x * x)) = T(y * z,x * x). (x * y) * z != u * (y * T(x,y)) | T(u,x * y) = z. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). (x * y) * z != (u * x) * L(y,x,u) | T(u,x * y) = z. T((x * y) / x,x * y) = L(y,x,(x * y) / x). x * y != z * (u * (u \ (z \ (w * x)))) | T(w,x) = y. T(x,(y * y) * z) = z \ ((y * y) \ (x * ((y * y) * z))). x \ ((y * y) \ (z * ((y * y) * x))) = T(z,(y * y) * x). L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. T(L(x,y,x),y) = T(x,x * y). R(T(x,x * y),z,u) = L(R(T(x,y),z,u),y,x). L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). x * T(y,y * x) = L(y,x,y) * x. T((x * y) / x,y * x) = L(y,x,y). T(x,x * y) != T(z,y) | L(x,y,x) = z. (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). T(L(x,y,x),z) = T(T((y * x) / y,z),x * y). T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). (x * L(x \ y,z,u)) / x = L(y / x,z,u). (x * R(x \ y,z,u)) / x = R(y / x,z,u). T(x / (y * x),y) = R(y \ 1,y,x). x * R(x \ y,z,u) != w | R(y / x,z,u) * x = w. T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T(x / y,y / x) = R((y / x) \ 1,y / x,x). R((x / y) \ 1,x / y,y) = T(y / x,x / y). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). x \ y != T(z / (u * z),u) | x * R(u \ 1,u,z) = y. x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). x \ ((y \ z) \ z) != u | x \ T(y,y \ z) = u. x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). ((x \ y) \ y) \ (T(x,x \ y) * z) = z. x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. (1 / x) * (x \ y) != z | (x * x) \ y = z. (x * x) \ 1 = (x \ 1) * (1 / x). (x \ 1) * (1 / x) = (x * x) \ 1. T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. x != y \ ((z \ y) * z) | K(z \ y,z) = x. K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). (x / (y * y)) * z = x * ((y * y) \ z). (x \ 1) \ y = (x * x) * (x \ y). (x * x) * (x \ y) = (x \ 1) \ y. (x / (y \ (1 / y))) \ z = ((1 / y) * (1 / y)) * (x \ z). ((1 / x) * (1 / x)) * (y \ z) = (y / (x \ (1 / x))) \ z. (x * (y \ (y \ 1))) \ z = (y * y) * (x \ z). (x * x) * y = (x \ 1) \ (x * y). (x \ 1) \ (x * y) = (x * x) * y. (x * x) \ ((x \ 1) \ y) = x \ y. x * y != z \ (u * z) | x \ T(u,z) = y. (x * x) \ T(y,x \ 1) = x \ (y * (x \ 1)). (x * x) \ y = x \ ((x \ 1) * y). x \ ((x \ 1) * y) = (x * x) \ y. (x \ 1) * y = x * ((x * x) \ y). x * ((x * x) \ y) = (x \ 1) * y. x * y != (z * z) * (z \ u) | x \ ((z \ 1) \ u) = y. x \ ((x \ 1) \ y) = (1 / x) \ (x \ y). (1 / x) \ (x \ y) = x \ ((x \ 1) \ y). ((x \ 1) \ y) * z = (x * x) * ((x \ y) * z). (x * x) * ((x \ y) * z) = ((x \ 1) \ y) * z. ((1 / x) * (1 / x)) * ((1 / x) \ y) = x \ y. T((x \ 1) \ y,x * x) = (x \ y) * (x * x). x \ y != (z * z) * ((1 / z) * u) | x * (z * u) = y. (x \ 1) * (x * y) = x * ((1 / x) * y). x \ y != (z * z) * (((z * z) \ u) * w) | x * (u * w) = y. (x \ 1) * (y * z) = x * (((x * x) \ y) * z). x * (((x * x) \ y) * z) = (x \ 1) * (y * z). x \ y != z * T(u,z) | x * (u * z) = y. (x \ 1) * (y * (x * x)) = x * T(y,x * x). (x * x) * (x \ y) != z | z = (x \ 1) \ y. (x * x) * (x \ y) != z | (x \ 1) \ y = z. R(x,y,(y * y) \ z) = ((x * y) * ((y * y) \ z)) / ((y \ 1) * z). ((x * y) * ((y * y) \ z)) / ((y \ 1) * z) = R(x,y,(y * y) \ z). (x * x) \ (((x \ 1) \ y) * z) = (x \ y) * z. (x * (y * (z * z))) \ u = (z * z) \ ((x * y) \ u). (x \ (y * y)) \ z = (y * y) \ ((x \ 1) \ z). (x * x) \ ((y \ 1) \ z) = (y \ (x * x)) \ z. (x / (1 / y)) \ z = (y * y) \ ((x / y) \ z). (x * x) \ ((y / x) \ z) = (y / (1 / x)) \ z. (((x * x) * y) * z) \ u = (y * z) \ ((x * x) \ u). ((x \ 1) \ y) \ z = (x \ y) \ ((x * x) \ z). (x \ y) \ ((x * x) \ z) = ((x \ 1) \ y) \ z. (x \ 1) / y = x / (y * (x * x)). x / (y * (x * x)) = (x \ 1) / y. (x / ((y * y) * z)) / u = (x / z) / (u * (y * y)). ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(T(x / y,z),y) != u | u = T(y \ x,z). T(T(x / y,z),y) != u | T(y \ x,z) = u. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. T(T((x * y) / x,z),x) != u | u = T(y,z). T(T((x * y) / x,z),x) != u | T(y,z) = u. (1 / x) * y != z | L(x \ y,x,x) = z. 1 / (1 / x) != y | L(x,x,x) = y. L(x,1 / x,y) != z | (y * (1 / x)) \ y = z. L(x,y,y) != z | (1 / y) * (y * x) = z. T(x,y * y) * z = ((y * y) \ x) * ((y * y) * z). ((x * x) \ y) * ((x * x) * z) = T(y,x * x) * z. L((x * x) \ (((x * x) \ y) \ z),x * x,(x * x) \ y) = T(y,x * x) \ z. ((x * x) \ y) / z = (x * x) \ (y / z). x * y != (z * z) \ (u * w) | (((z * z) \ u) * w) / y = x. (((x * x) \ y) * z) / u = (x * x) \ ((y * z) / u). x * y != (z * z) \ z | (1 / z) / y = x. (1 / x) / y = (x * x) \ (x / y). (x * x) \ (x / y) = (1 / x) / y. x * y != (z * z) \ (z / u) | x \ ((1 / z) / u) = y. (1 / x) \ ((1 / x) / y) = x \ (x / y). ((x \ (1 / x)) \ y) \ z = y \ (((1 / x) * (1 / x)) * z). x \ (((1 / y) * (1 / y)) * z) = ((y \ (1 / y)) \ x) \ z. ((1 / x) * y) \ z = (x * y) \ ((x * x) * z). (x * y) \ ((x * x) * z) = ((1 / x) * y) \ z. (((x * x) \ y) * z) \ u = (y * z) \ ((x * x) * u). ((x \ (1 / x)) * y) / z = ((1 / x) * (1 / x)) * (y / z). ((1 / x) * (1 / x)) * (y / z) = ((x \ (1 / x)) * y) / z. (x * ((y * y) \ z)) / z = x / (y * y). a(x,y / (z * z),u) = (x * (y * ((z * z) \ u))) \ ((x * (y / (z * z))) * u). (x * (y * ((z * z) \ u))) \ ((x * (y / (z * z))) * u) = a(x,y / (z * z),u). L(x,y,z / (u * u)) = (z * ((u * u) \ y)) \ ((z / (u * u)) * (y * x)). (x * ((y * y) \ z)) \ ((x / (y * y)) * (z * u)) = L(u,z,x / (y * y)). (x * (y \ (y \ 1))) * z = x * ((y * y) \ z). (x / (y * y)) * (z * u) = x * (((y * y) \ z) * u). (x / ((y * y) * z)) * u = (x / z) * ((y * y) \ u). x \ ((x \ 1) \ y) = (x \ 1) \ (((x \ 1) \ 1) \ y). (x \ 1) \ (((x \ 1) \ 1) \ y) = x \ ((x \ 1) \ y). (x \ 1) * (y * x) = x * ((1 / x) * T(y,x)). x * ((1 / x) * T(y,x)) = (x \ 1) * (y * x). ((x \ (1 / x)) \ y) / z = ((1 / x) * (1 / x)) \ (y / z). ((1 / x) * (1 / x)) \ (y / z) = ((x \ (1 / x)) \ y) / z. (x / (y * y)) * z != u | u = x * ((y * y) \ z). (x / (y * y)) * z != u | x * ((y * y) \ z) = u. x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). 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(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y). L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). x * L(y,z,x / z) != u | u = (x / z) * (z * y). x * L(y,z,x / z) != u | (x / z) * (z * y) = u. x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. x != L(T(y,z),u,w) | T(L(y,u,w),z) = x. T(L(x,y,z),y) = (z * y) \ (z * (x * y)). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). R((x * y) / z,z,K(y,x)) = (y * x) / (z * ((x * y) \ (y * x))). R(x,y,z) * u != w | u * R(T(x,u),y,z) = w. x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). x != y \ (z * y) | T(z,y) = x. T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). x \ y != L(T(z \ 1,u),z,w) | x * T((w * z) \ w,u) = y. (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). T(1 / x,y) = L(T(x \ 1,y),x,1 / x). L(T(x \ 1,y),x,1 / x) = T(1 / x,y). x = (y / (z * y)) * (R(1 / z,z,y) \ x). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. (x * y) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. T(x \ 1,y) = R(T(1 / x,y),x,x \ 1). R(T(1 / x,y),x,x \ 1) = T(x \ 1,y). x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x * T(x \ (y * x),z) != u | T(y,z) * x = u. x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. L(x \ ((x * x) * y),x,x) = L(x,x,x) * y. L(T(x,y),y,y) != z | (1 / y) * (x * y) = z. (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). (x \ 1) * y != z | x \ L(y,x \ 1,x) = z. x != (y * z) \ (z * y) | K(z,y) = x. K(x,y) = L(x \ T(x,y),x,y). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). L(x \ T(y * x,y),x,y) != z \ u | z * 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). x / ((y * y) \ z) = (x / z) * (y * y). R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. (x * y) / ((z \ x) * y) != u | u = R(z,z \ x,y). (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. x \ (y * (z \ (1 / z))) = (x \ y) * (z \ (1 / z)). L(R(x,y,K(y,L(x,z,u))),z,u) \ (y * L(x,z,u)) = y * K(y,L(x,z,u)). x / (y / (z * z)) = (x * (z * z)) / y. (x * (y * y)) / z = x / (z / (y * y)). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). (x * (y * (z * z))) / u = (x * y) / (u / (z * z)). (x \ (y * y)) / z = (x \ 1) / (z / (y * y)). (x \ 1) / (y / (z * z)) = (x \ (z * z)) / y. (a(a(x,y,z),u,w) * v5) / v6 = a(a(x,y,z),u,w) * (v5 / v6). (x * y) / (z * z) = x * (y / (z * z)). x \ ((x * y) \ 1) = y / ((x * y) * (x * y)). x / ((y * x) * (y * x)) = y \ ((y * x) \ 1). x * y != (z * (z \ u)) / w | x \ (u / w) = y. x \ (y / (z * z)) = (x \ y) / (z * z). (x \ y) / (z * z) = x \ (y / (z * z)). (x * y) / (y * y) = x * (y \ 1). (x * (y / (z * z))) \ u = (z * z) * ((x * y) \ u). (x * (y / (z * z))) / u = (x * y) / (u * (z * z)). (x * (y / (z * z))) * u = (x * y) * ((z * z) \ u). x / (y * y) = (x / y) * (y \ 1). (x / y) * (y \ 1) = x / (y * y). x * (y * y) = (x / (y \ 1)) * y. (x / (y \ 1)) * y = x * (y * y). x / (y * y) != z | x * (y \ (y \ 1)) = z. (x * y) * (y \ (y \ 1)) = x * (y \ 1). R(x / y,y,y) = x * (y \ 1). R(x,y,y) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y). R(x,y,y) / (y \ 1) = x * y. x * y != (z * u) / (u * u) | x \ (z * (u \ 1)) = y. (x * y) \ (x * (y \ 1)) = y \ (y \ 1). (x * (y \ 1)) \ z = (y * y) * ((x * y) \ z). (x * x) * ((y * x) \ z) = (y * (x \ 1)) \ z. (x * (y \ 1)) * z = (x * y) * ((y * y) \ z). (x * y) * ((y * y) \ z) = (x * (y \ 1)) * z. R(T(x / y,z),y,y) = T(x * (y \ 1),z). T(x * (y \ 1),y) = R(y \ x,y,y). T(x * y,y \ 1) = (y \ 1) \ R(x,y,y). (x \ 1) \ R(y,x,x) = T(y * x,x \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,y,y \ 1) = R(x,y,y). (x * y) * (y \ 1) != z | z = R(x,y,y). (x * y) * (y \ 1) != z | R(x,y,y) = z. T(x / y,y \ 1) = (y \ 1) \ (x / (y * y)). (x \ 1) \ (y / (x * x)) = T(y / x,x \ 1). (x / (1 / y)) * y = x / ((1 / y) * (1 / y)). x / ((1 / y) * (1 / y)) = (x / (1 / y)) * y. x != R(y,z,z) | (y * z) * (z \ 1) = x. ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). T((x * y) * (x \ 1),x) = R(y,x,x). (x \ 1) / (y * y) = x \ (y \ (y \ 1)). (x \ (y / (z * z))) \ u = (z * z) * ((x \ y) \ u). x * y != (z * u) * (u \ (u \ 1)) | x \ (z * (u \ 1)) = y. x \ (y * ((y \ x) \ 1)) = (y \ x) \ ((y \ x) \ 1). (x \ y) \ ((x \ y) \ 1) = y \ (x * ((x \ y) \ 1)). R(x,y,y \ 1) != z | R(x,y,y) = z. (x \ (y \ (y \ 1))) \ z = (y * y) * ((x \ 1) \ z). T(((x * y) * z) / (x * z),x) = R(y,x,z). R(x,y,z) = T(((y * x) * z) / (y * z),y). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T(T(x,y),x) != z | T(x,y) = z. T(T(x,y),z) != u | T(T(x,z),y) = u. T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. x \ (y * (z * (y \ x))) = T(L(z,y \ x,y),y \ x). T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). x \ ((x / y) * (z * y)) = T(L(z,y,x / y),y). T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). x != T(y / z,z) | z \ y = x. x \ 1 = L(T(x \ 1,x),x,1 / x). L(T(x \ 1,x),x,1 / x) = x \ 1. x * y != L(T(z \ 1,u),z,1 / z) | x \ T(1 / z,u) = y. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). L(T(x,y),y,1 / y) != z | (1 / y) * (x * y) = z. (1 / x) * ((x \ 1) * x) = x \ 1. (1 / x) * K(x \ 1,x) = x \ 1. (1 / x) \ (x \ 1) = K(x \ 1,x). R(1 / x,x,y) != z | y / (x * y) = z. x * y != R(T(z / u,w),u,u) | T(z * (u \ 1),w) / y = x. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. R(x,y,z) != T(u,y) | ((y * x) * z) / (y * z) = u. T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. T(R(x,y,x),y * x) = T(x,y). R(x,y,x) * (y * x) = (y * x) * T(x,y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. R(T(x,y * x),y,x) = T(x,y). (x * y) * T(T(y,x),z) = T(R(y,x,y),z) * (x * y). T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). R(T(x,y),y / x,x) = T(x,y / x). R(x,1 / x,x) = T(x,1 / x). x * y != R(z,1 / z,z) | T(z,1 / z) / y = x. T(x,1 / x) / x = x * (1 / x). x != y * (1 / y) | K(y,1 / y) = x. K(x,1 / x) = T(x,1 / x) / x. T(x,1 / x) / x = K(x,1 / x). x != (y * z) * u | (z * T(y,z)) * u = x. (x * T(y,x)) * T(x,y) = R(x,y,x) * (y * x). (x * y) * x = (y * x) * T(x,y). (x * y) * T(y,x) = (y * x) * y. x * T(y \ x,y) = ((y \ x) * y) * (y \ x). ((x \ y) * x) * (x \ y) = y * T(x \ y,x). x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). ((x \ 1) * x) \ x = T(x,x \ 1). K(x \ 1,x) \ x = T(x,x \ 1). x \ y != T(z,z \ u) | x * ((z \ u) \ u) = y. K(x \ 1,x) * ((x \ 1) \ 1) = x. x != T(R(y,z,u),w) | R(T(y,w),z,u) = x. R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. (x * y) * (z * z) != u | x * (y * (z * z)) = u. (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. (((x \ 1) * (x \ 1)) \ y) * z = x * ((x \ 1) \ (y * z)). (x * ((x \ 1) \ y)) * ((x \ 1) * (x \ 1)) = T(y,(x \ 1) * (x \ 1)). ((x \ 1) \ 1) \ y = (x \ 1) * (x \ ((x \ 1) \ y)). (x \ 1) * (x \ ((x \ 1) \ y)) = ((x \ 1) \ 1) \ y. (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. (K(x \ 1,x) * y) / (x * y) != z | R(x \ 1,x,y) = z. T(x \ 1,y) / (x \ 1) != z | T(1 / x,y) * x = z. x \ (y * z) != u | L((y \ x) \ z,y \ x,y) = u. ((x * y) * z) \ (x * (y * u)) != w | L(z \ L(u,y,x),z,x * y) = w. (x * y) / z != u | R(x / (z / y),z / y,y) = u. x \ (1 / x) = (x \ 1) * (x \ 1). (x \ 1) * (x \ 1) = x \ (1 / x). L(x \ 1,x \ 1,x) = 1 / x. (x \ (1 / x)) \ y = x * ((x \ 1) \ y). (x \ (1 / x)) * y = (x \ 1) * (x \ y). x * (y \ (1 / y)) = (x * (y \ 1)) / y. (x * (y \ 1)) / y = x * (y \ (1 / y)). L(T(x \ 1,y),x \ 1,x) = T(1 / x,y). T(x * (y \ (1 / y)),y) = y \ (x * (y \ 1)). L(1 / x,x,y) * x = x * ((y * x) \ y). x * y != z * ((z * z) \ y) | z \ 1 = x. x \ 1 = L(1 / x,x,x). L(1 / x,x,x) = x \ 1. L(T(1 / x,y),x,x) = T(x \ 1,y). L(x \ 1,y,z) = L(L(1 / x,y,z),x,x). L(L(1 / x,y,z),x,x) = L(x \ 1,y,z). x \ y != L(T(1 / z,u),z,z) | x * T(z \ 1,u) = y. (x * x) * T(x \ 1,y) = x * (x * T(1 / x,y)). (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). ((x * y) / z) * (z / y) = (z / y) * R((z / y) \ x,z / y,y). (x / y) * R((x / y) \ z,x / y,y) = ((z * y) / x) * (x / y). ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). (x * R(y,z,u)) / x = R((x * y) / x,z,u). R((x * y) / x,z,u) = (x * R(y,z,u)) / x. x * y != z * R(1 / u,u,w) | (z * (w / (u * w))) / y = x. (x * (y / (z * y))) / x = R((x * (1 / z)) / x,z,y). R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. (1 / x) * T(y,x * x) = T(x * ((x * x) \ y),x * x). T(x * ((x * x) \ y),x * x) = (1 / x) * T(y,x * x). ((x * y) * L(L(z,y,x),u,w)) / (x * y) = L((x * (y * z)) / (x * y),u,w). L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. T(L(x / y,z,u),y) != w | w = L(y \ x,z,u). T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. (x * ((1 / x) * y)) / x = L(y / x,x,x). (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 * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. (x * ((1 / y) \ y)) \ z = ((1 / y) * (1 / y)) * (x \ z). ((1 / x) * (1 / x)) * (y \ z) = (y * ((1 / x) \ x)) \ z. (x * x) \ y = (x \ z) * (((x \ 1) \ z) \ y). (x \ y) * (((x \ 1) \ y) \ z) = (x * x) \ z. x \ y != (z * z) * ((z \ u) * w) | x * (((z \ 1) \ u) * w) = y. (x \ 1) * (((x \ 1) \ y) * z) = x * ((x \ y) * z). x * (((1 / x) * y) * z) = (x \ 1) * ((x * y) * z). (x \ 1) * ((x * y) * z) = x * (((1 / x) * y) * z). (x * x) * ((x \ y) * z) != u | u = ((x \ 1) \ y) * z. (x * x) * ((x \ y) * z) != u | ((x \ 1) \ y) * z = u. x / ((y \ (z * z)) \ u) = (x / ((y \ 1) \ u)) * (z * z). (x / ((y \ 1) \ z)) * (u * u) = x / ((y \ (u * u)) \ z). (x \ y) \ T(z,x * x) = ((x \ 1) \ y) \ (z * (x * x)). ((x \ 1) \ y) \ (z * (x * x)) = (x \ y) \ T(z,x * x). (x \ y) * (((x \ 1) \ y) \ z) != u | u = (x * x) \ z. (x \ y) * (((x \ 1) \ y) \ z) != u | (x * x) \ z = u. (x \ y) \ ((1 / x) * z) = ((x \ 1) \ y) \ (x * z). ((x \ 1) \ y) \ (x * z) = (x \ y) \ ((1 / x) * z). (x \ y) \ (x \ z) = ((x \ 1) \ y) \ ((x \ 1) \ z). ((x \ 1) \ y) \ ((x \ 1) \ z) = (x \ y) \ (x \ z). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. x \ y != T((z * (u / w)) / z,w) | x * ((z * (w \ u)) / z) = y. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x * y) \ (x * z) = ((1 / x) * y) \ ((1 / x) * z). ((1 / x) * y) \ ((1 / x) * z) = (x * y) \ (x * z). x * y != (x \ 1) * (z * u) | ((x * x) \ z) * u = y. ((x * x) \ y) * x = (1 / x) * T(y,x). T(x,y) * T(1 / y,T(x,y)) = ((y * y) \ x) * y. (x \ y) * x = (1 / x) * T((x \ 1) \ y,x). (1 / x) * T((x \ 1) \ y,x) = (x \ y) * x. (x \ (y * (x \ 1))) * x = (1 / x) * T(T(y,x \ 1),x). (1 / x) * T(T(y,x \ 1),x) = (x \ (y * (x \ 1))) * x. L(x * y,x,x) = L(x,x,x) * L(y,x,x). L(x,x,x) * L(y,x,x) = L(x * y,x,x). x != L(y * y,z,u) | y * y = x. x * x = L(x,x,x) * L(x,x,x). L(x,x,x) * L(x,x,x) = x * x. (1 / x) * (((1 / x) \ y) * x) = T((1 / x) * ((x * x) * y),x). T((1 / x) * ((x * x) * y),x) = (1 / x) * (((1 / x) \ y) * x). ((x \ (y * y)) / z) \ (x \ 1) = z / (y * y). x * y != z / ((u * z) * (u * z)) | x \ (u \ ((u * z) \ 1)) = y. x \ (y \ ((y * x) \ 1)) = (y * x) \ ((y * x) \ 1). (x * y) \ ((x * y) \ 1) = y \ (x \ ((x * y) \ 1)). (x * x) * ((x * L(x,y,z)) \ u) = (L(x,y,z) * (x \ 1)) \ u. R(x,y * z,(z * z) \ u) = ((x * (y * z)) * ((z * z) \ u)) / ((y * (z \ 1)) * u). ((x * (y * z)) * ((z * z) \ u)) / ((y * (z \ 1)) * u) = R(x,y * z,(z * z) \ u). (x * y) * (1 / y) = (x * (y \ 1)) * y. (x * (y \ 1)) * y = (x * y) * (1 / y). (x * y) * (y \ z) = (x * (y \ 1)) * ((y \ 1) \ z). (x * (y \ 1)) * ((y \ 1) \ z) = (x * y) * (y \ z). (x * y) * (1 / y) != z * y | x * (y \ 1) = z. x / (y \ (1 / y)) = (x / (1 / y)) * y. (x \ 1) \ T(y * (x \ 1),x) != z | T((x \ y) * x,x \ 1) = z. R(T(x \ y,z),u,w) = T(T(R(y / x,u,w),z),x). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). x \ y != L((z * u) / z,w,v5) | x * ((z * L(u,w,v5)) / z) = y. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * y) / x,z,u) * x != w | w = x * L(y,z,u). L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. 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 * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (x \ 1) * y != (x * x) \ 1 | 1 / x = y. 1 / x = ((x \ 1) \ 1) \ 1. ((x \ 1) \ 1) \ 1 = 1 / x. (x * x) \ y != (x \ z) * u | ((x \ 1) \ z) \ y = u. (x \ y) \ ((x * x) \ z) != u | ((x \ 1) \ y) \ z = u. T(x \ 1,(x \ 1) \ 1) = 1 / x. x != y / (z \ y) | z = x. x = (((x \ 1) \ 1) \ 1) \ 1. (((x \ 1) \ 1) \ 1) \ 1 = x. 1 / (1 / x) = (x \ 1) \ 1. (x * x) / (1 / y) = (x * x) * ((y \ 1) \ 1). (x * x) * ((y \ 1) \ 1) = (x * x) / (1 / y). T((1 / x) \ y,((x \ 1) \ 1) * ((x \ 1) \ 1)) = (((x \ 1) \ 1) \ y) * (((x \ 1) \ 1) * ((x \ 1) \ 1)). (((x \ 1) \ 1) \ y) * (((x \ 1) \ 1) * ((x \ 1) \ 1)) = T((1 / x) \ y,((x \ 1) \ 1) * ((x \ 1) \ 1)). L(x,x,x) = (x \ 1) \ 1. ((x \ 1) \ 1) \ 1 != y | 1 / x = y. x != (y \ z) \ z | T(y,y \ z) = x. T(x,x \ 1) = L(x,x,x). 1 / L(x,x,x) = x \ 1. L(T(x,y),x,x) = T((x \ 1) \ 1,y). T((x \ 1) \ 1,y) = L(T(x,y),x,x). T(x,x \ 1) * y = L(x,x,x) * y. ((x \ 1) \ 1) * L(y,x,x) = L(x * y,x,x). ((L(x,x,x) * L(x,x,x)) \ y) * L(x,x,x) = (x \ 1) * T(y,L(x,x,x)). (x \ 1) \ 1 != y | 1 / (1 / x) = y. T((x \ y) \ y,z) != u | T(T(x,z),x \ y) = u. T(T(x,y),x \ 1) = L(T(x,y),x,x). (x / y) \ (x \ 1) = y / (x * x). (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). x != L(y \ z,y,u) | (u * y) \ (u * z) = x. (x * (y * z)) \ (x * y) = L(L(z \ 1,y * z,x),z,y). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). x \ y != L(L(z \ 1,u,w),z,v5) | x * L((v5 * z) \ v5,u,w) = y. (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). x * L(x \ (y * x),z,u) != w | L(y,z,u) * x = w. (x * y) * T(z * z,u) = x * (y * T(z * z,u)). (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)). (x * y) * T(K(y,x),z) = x * (y * T(y \ T(y,x),z)). x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. L((x * y) \ (y * z),u,w) = L(L(T(x,y) \ z,u,w),T(x,y),y). L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). x \ (y * T(z,y)) != u | x \ (z * y) = u. R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x * y != y * T(z,u) | T((y * z) / y,u) = x. T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). x * y != R(z,u,w) * x | R(T(z,x),u,w) = y. R(T(x,x * y),y,T(x,y)) = T(x,y). T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. T(R(x / y,y,T(z,y)),z * y) = (z * y) \ (x * T(z,y)). R((x * y) / x,x,T(y,x)) = ((y * x) * y) / (y * x). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. L(T((x * y) \ z,u),w,v5) = L(L(T(y \ (x \ z),u),w,v5),y,x). L(L(T(x \ (y \ z),u),w,v5),x,y) = L(T((y * x) \ z,u),w,v5). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. (x * (y * (z * z))) \ u != w | (z * z) \ ((x * y) \ u) = w. x \ y != z * (u \ (u * w)) | x * (z * w) = y. x \ y != z * (u \ u) | x * z = y. x \ y != L(T(z \ 1,u),z,w / z) | x * T(w \ (w / z),u) = y. x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). x * (y * T(y \ 1,x * y)) = ((x * y) \ x) * (x * y). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). (x * y) \ ((z * x) * y) != u | R(T(z,x * y),x,y) = u. L(x,y,(y * x) / y) * y = y * T(x,y * x). x \ y != L(R(T(z,u),w,v5),u,z) | x * R(T(z,z * u),w,v5) = y. (x * y) * R(T(x,x * y),z,u) = x * (y * R(T(x,y),z,u)). L(T(x,y),z,x) = T(T((z * x) / z,y),x * z). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. x * y != (z * u) * a(z,w,w \ u) | ((z * w) * (w \ u)) / y = x. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). L(T(x \ 1,y),x,z / x) != u | T(z \ (z / x),y) = u. T(x \ (x / y),y) = x \ ((x / y) * ((y \ 1) * y)). x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. L((x \ y) / z,z,x) != u / z | z * ((x * z) \ y) = u. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. L((x \ y) / x,x,x) = ((x \ 1) * y) / x. x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). x * ((y * (z * z)) * u) = (x * y) * ((z * z) * L(u,y * (z * z),x)). (x * y) * ((z * z) * L(u,y * (z * z),x)) = x * ((y * (z * z)) * u). (x * (y * (z * (u * u)))) * w = (x * (y * z)) * ((u * u) * w). (x * (y / (1 / z))) * u = (x * (y / z)) * ((z * z) * u). (x * (y / z)) * ((z * z) * u) = (x * (y / (1 / z))) * u. (x * T(y,x * x)) * z = ((x \ 1) * y) * ((x * x) * z). ((x \ 1) * y) * ((x * x) * z) = (x * T(y,x * x)) * z. ((x \ 1) * (x \ y)) * z = (x \ (1 / x)) * (y * z). x * (y \ (1 / y)) = z * ((z \ x) * (y \ (1 / y))). x * ((x \ y) * (z \ (1 / z))) = y * (z \ (1 / z)). L((x \ (1 / x)) \ ((y * z) \ u),x \ (1 / x),y * z) = (y * (z * (x \ (1 / x)))) \ u. (x * (y * (z \ (1 / z)))) * u = (x * y) * ((z \ (1 / z)) * u). ((x * x) \ y) \ z != u | y \ ((x * x) * z) = u. T(x,(y * y) \ z) != u | z \ ((y * y) * (x * ((y * y) \ z))) = u. (1 / x) \ y != z | x \ ((x * x) * y) = z. x != y * (z \ (z \ 1)) | y / (z * z) = x. x / (y * y) = (y * y) \ T(x,y \ (y \ 1)). (x * x) \ T(y,x \ (x \ 1)) = y / (x * x). x \ y != (z * u) * (u \ (u \ 1)) | x * (z * (u \ 1)) = y. (x * x) * (y * (x \ 1)) = T(y * x,x \ (x \ 1)). T(x * y,y \ (y \ 1)) = (y * y) * (x * (y \ 1)). x \ y != z * (u \ (u \ 1)) | x * (z / (u * u)) = y. (x * x) * (y / (x * x)) = T(y,x \ (x \ 1)). x \ y != (z \ u) / (w * w) | x * (z \ (u / (w * w))) = y. (x * x) * (y \ (z / (x * x))) = T(y \ z,x \ (x \ 1)). x \ y != (z * u) / (w * w) | x * (z * (u / (w * w))) = y. (x * x) * (y * (z / (x * x))) = T(y * z,x \ (x \ 1)). x \ y != (z / u) / (w * w) | x * (z / ((w * w) * u)) = y. (x * x) * (y / ((x * x) * z)) = T(y / z,x \ (x \ 1)). x * y != (z * z) \ T(u,z \ (z \ 1)) | x \ (u / (z * z)) = y. (1 / x) \ (y / (x * x)) = x \ T(y,x \ (x \ 1)). (x * x) * (y / (x * x)) != z | z = T(y,x \ (x \ 1)). (x * x) * (y / (x * x)) != z | T(y,x \ (x \ 1)) = z. (x * x) * ((y / (x * x)) * z) = T(y,x \ (x \ 1)) * z. ((x * x) \ y) * z = T(y * (z / (x * x)),x * x). T(x * (y / (z * z)),z * z) = ((z * z) \ x) * y. ((x * x) \ y) * x = T(y * (x \ 1),x * x). T(x * (y \ 1),y * y) = ((y * y) \ x) * y. ((x * x) \ y) * L(x,x,x) = T(y * (1 / x),x * x). ((x * x) \ y) * T(z,x * x) = T(y * ((x * x) \ z),x * x). T(x * ((y * y) \ z),y * y) = ((y * y) \ x) * T(z,y * y). x != ((y * y) \ z) * y | (1 / y) * T(z,y) = x. (1 / x) * T(y,x) = T(y * (x \ 1),x * x). T(x * (y \ 1),y * y) = (1 / y) * T(x,y). (x * (y \ (z * z))) \ u = (z * z) \ ((x * (y \ 1)) \ u). (x * x) \ ((y * (z \ 1)) \ u) = (y * (z \ (x * x))) \ u. ((x * x) \ y) * z = T(y,x * x) * ((x * x) \ z). T(x,y * y) * ((y * y) \ z) = ((y * y) \ x) * z. x \ y != ((z * z) \ u) * ((z * z) * w) | x * (T(u,z * z) * w) = y. (x * x) * (T(y,x * x) * z) = y * ((x * x) * z). ((x * x) \ y) * (x * z) = T(y,x * x) * ((1 / x) * z). T(x,y * y) * ((1 / y) * z) = ((y * y) \ x) * (y * z). a((x * x) \ y,z,u) = (y * (z * u)) \ ((x * x) * ((((x * x) \ y) * z) * u)). (x * (y * z)) \ ((u * u) * ((((u * u) \ x) * y) * z)) = a((u * u) \ x,y,z). (x / (((y \ 1) * y) * (1 / y))) * z = (x / y) * (((y \ 1) * (y \ 1)) \ z). (x \ 1) \ (((x \ 1) \ 1) \ R(y,x,x)) = x \ T(y * x,x \ 1). (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) != w | a(x,(y * y) * z,u) = w. K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) != z | a((x * y) \ 1,x,y) = z. 1 / (x \ (1 / x)) = (1 / x) \ x. x \ (y * (z * (u \ (1 / u)))) = (x \ (y * z)) * (u \ (1 / u)). ((1 / x) \ x) \ y = (x \ (1 / x)) * y. 1 / ((1 / x) \ x) = x \ (1 / x). x != (y \ (1 / y)) * z | (y \ 1) * (y \ z) = x. (x \ 1) * (x \ y) = ((1 / x) \ x) \ y. ((1 / x) \ x) \ y = (x \ 1) * (x \ y). ((1 / x) \ x) * y = x * ((x \ 1) \ y). (1 / ((1 / x) \ x)) * (((x \ 1) * (x \ y)) * ((1 / x) \ x)) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). (1 / x) \ x = x * ((x \ 1) \ 1). x * ((x \ 1) \ 1) = (1 / x) \ x. R(x,y,z * (u * u)) = ((x * y) * z) / ((y * (z * (u * u))) / (u * u)). ((x * y) * z) / ((y * (z * (u * u))) / (u * u)) = R(x,y,z * (u * u)). T(x,y \ (y \ 1)) / z = ((y * y) * x) / (z * (y * y)). ((x * x) * y) / (z * (x * x)) = T(y,x \ (x \ 1)) / z. x * y != (z * u) * ((w * w) \ v5) | x \ ((z * (u / (w * w))) * v5) = y. (x * (y * ((z * z) \ u))) \ ((x * (y / (z * z))) * u) = a(x,y,(z * z) \ u). (x * (y * (z \ 1))) * u = (x * (y * z)) * ((z * z) \ u). (x * (y * z)) * ((z * z) \ u) = (x * (y * (z \ 1))) * u. (x \ (y \ 1)) \ z = (y * y) * ((x \ y) \ z). (x * x) * ((y \ x) \ z) = (y \ (x \ 1)) \ z. (x * x) * ((y \ x) \ z) != u \ z | y \ (x \ 1) = u. x \ y != (z * z) * ((u \ z) \ y) | u \ (z \ 1) = x. (x \ (y * ((y \ x) \ 1))) \ z = ((y \ x) * (y \ x)) * z. x != T(y / z,u) * z | z * T(z \ y,u) = x. x * T(x \ y,z) = T(y * (x \ 1),z) / (x \ 1). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). x * ((((1 / x) \ 1) \ y) * z) = (1 / x) * (((1 / x) \ y) * z). (1 / x) * (((1 / x) \ y) * z) = x * ((((1 / x) \ 1) \ y) * z). x * y != (z \ 1) * (((z \ 1) \ u) * w) | x \ (z * ((z \ u) * w)) = y. x \ (y * ((y \ x) * z)) = L(z,(y \ 1) \ x,y \ 1). L(x,(y \ 1) \ z,y \ 1) = z \ (y * ((y \ z) * x)). ((x \ 1) \ y) \ (z * x) = (x \ y) \ ((1 / x) * T(z,x)). (x \ y) \ ((1 / x) * T(z,x)) = ((x \ 1) \ y) \ (z * x). (((1 / x) \ 1) \ y) \ (x \ z) = ((1 / x) \ y) \ ((1 / x) \ z). (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((x * (y / z)) / x) * z != u | u = z * ((x * (z \ y)) / x). ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. x * y != z | R(x,y,y \ 1) / (y \ 1) = z. R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * y) / x) * (y \ z) = (y \ z) * ((x * ((y \ z) \ z)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). ((1 / x) * y) * L(z,y,x) = (1 / x) * (y * z). L(x,y,1 / z) = L(x,y,z). x != L(y,z,u * u) | y = x. x = L(x,y,1 / (z * z)). L(x,y,1 / (z * z)) = x. L(x \ y,x,z / y) != u | ((z / y) * x) \ z = u. ((1 / x) * y) \ 1 = L(y \ x,y,x). L(x \ y,x,y) = ((1 / y) * x) \ 1. L(x,y,z) = L(x,y,z \ 1). L(x,y,z \ 1) = L(x,y,z). L(x,y,(z * z) \ 1) = x. L(x,y,(z * z) \ 1) != u | x = u. x != L(y,z,u) | L(y,z,1 / u) = x. L(x,y,1 / z) = L(x,y,z \ 1). x != L(y,z,z) | (1 / z) * (z * y) = x. (1 / x) * (x * y) = L(y,x,x \ 1). x != L(y \ z,y,y) | (1 / y) * z = x. (1 / x) * y = L(x \ y,x,x \ 1). L(x \ y,x,x \ 1) = (1 / x) * y. x != L(T(y,z),z,z) | (1 / z) * (y * z) = x. (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). x != L(y \ 1,y,y) | 1 / y = x. 1 / x = L(x \ 1,x,x \ 1). L(x \ 1,x,x \ 1) = 1 / x. x != L(y,z,a(a(u,w,v5),v6,v7)) | y = x. x = L(x,y,a(a(z,u,w),v5,v6) \ 1). L(x,y,a(a(z,u,w),v5,v6) \ 1) = x. x * y != L(z,u,w) | x \ L(z,u,w \ 1) = y. (1 / x) \ L(y,x,x \ 1) = x * y. L(x \ (y \ z),x,y) != u | (y * x) \ z = u. ((x \ 1) * y) \ z = L(y \ ((x \ 1) \ z),y,x). L(x \ ((y \ 1) \ z),x,y) = ((y \ 1) * x) \ z. x \ y != L(z,u,w \ 1) | x * L(z,u,w) = y. ((x \ 1) * y) * L(z,y,x) = (x \ 1) * (y * z). L(x,y,(z * z) \ (u \ 1)) = L(x,y,u * (z * z)). x \ y != L(z \ 1,z,z \ 1) | x * (1 / z) = y. ((x \ 1) * x) * (1 / x) = x \ 1. K(x \ 1,x) * (1 / x) = x \ 1. (x \ 1) / (1 / x) = K(x \ 1,x). L(x,y,L(z \ u,z,u)) = L(x,y,(1 / u) * z). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. a(a(a(x,y,z),u,w) \ 1,v5,v6) = 1. x \ (y * ((y \ 1) \ z)) = ((y \ 1) * (y \ x)) \ z. ((x \ 1) * (x \ y)) \ z = y \ (x * ((x \ 1) \ z)). L(x \ y,x,z) != u | (z * x) \ (z * y) = u. (x * y) \ (x * ((x \ 1) \ z)) = ((x \ 1) * y) \ z. x != (y * z) * (z \ 1) | R(y,z,z) = x. R(x,y,y) = (x * (y \ 1)) * ((y \ 1) \ 1). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y,y). T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). x \ (y * T(z * z,u)) = (x \ y) * T(z * z,u). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. T(x,y) * (z \ 1) = z \ T(z * (x * (z \ 1)),y). x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). x \ y != z * T(z \ (u * z),w) | x * (T(u,w) * z) = y. x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). T(x,y) * (x \ 1) = x \ T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1). T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. (1 / x) * T(x,y) = T(x,y) / x. x * y != T(1 / (1 / z),u) * (1 / z) | (T(z,u) / z) / y = x. (T(x,y) / x) / T(x,y) = 1 / x. x * T(x \ 1,y) = T(x \ 1,y) / (x \ 1). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). T(1 / x,T(x,y)) = T(x,y) \ (T(x,y) / x). T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). x \ ((x / y) * K(y \ 1,y)) = T(x \ (x / y),y). x != (y * z) \ ((y \ (y * z)) * y) | K(z,y) = x. K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). (x \ 1) * (x \ (y * z)) = ((x \ 1) * (x \ y)) * z. ((x \ 1) * (x \ y)) * z = (x \ 1) * (x \ (y * z)). x * y != (z \ (1 / z)) * (u * x) | T((z \ 1) * (z \ u),x) = y. T((x \ 1) * (x \ y),x \ 1) = x \ (y * (x \ 1)). x * (y \ (1 / y)) != z * ((z \ u) * (y \ (1 / y))) | x = u. x * y != (z * z) * (u * (z \ 1)) | x \ T(u * z,z \ (z \ 1)) = y. x \ T(y * x,x \ (x \ 1)) = (1 / x) \ (y * (x \ 1)). T(x * y,y \ (y \ 1)) \ z = (x * (y \ 1)) \ ((y * y) \ z). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). (x * y) \ x = ((x \ 1) * y) \ (x \ 1). ((x \ 1) * y) \ (x \ 1) = (x * y) \ x. (x \ y) * T(z * z,u) != x \ w | y * T(z * z,u) = w. x \ y != (x \ z) * T(u * u,w) | z * T(u * u,w) = y. x \ T(y,x \ 1) = ((x \ 1) \ (x \ y)) * (x \ 1). ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). (1 / x) * (((x \ 1) \ y) * (x \ 1)) = (x * x) \ T(x * y,x \ 1). (x * x) \ T(x * y,x \ 1) = (1 / x) * (((x \ 1) \ y) * (x \ 1)). x \ T(x * (((x \ 1) \ 1) \ y),x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). (x \ 1) * T((x \ 1) \ y,z) != u | u = x \ T(x * y,z). (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. T(x,1 / y) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. x * T(x \ (x / y),y) = (x / y) * K(y \ 1,y). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). ((x \ 1) * (x \ y)) * z != (x \ 1) * u | x \ (y * z) = u. (x \ 1) * y != ((x \ 1) * (x \ z)) * u | x \ (z * u) = y. (x * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z). T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). (T(x,1 / y) / y) \ (x / y) = K(1 / y,(1 / y) \ (x / y)). K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). K((x * y) * (x \ 1),y) = 1. K(((1 / x) * y) * x,y) = 1. K(x * y,(1 / y) \ x) = 1. T(x * y,(1 / y) \ x) = x * y. x \ ((y \ 1) \ (y \ x)) = a(y,y,y \ (y \ x)). a(x,x,x \ (x \ y)) = y \ ((x \ 1) \ (x \ y)). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,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)). K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). x \ L(1 / x,y,z) = (x \ 1) * L(x \ 1,y,z). (x \ 1) * L(x \ 1,y,z) = x \ L(1 / x,y,z). (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). R(x / 1,y,z) / x = R(1 / (1 / x),y,z) * (1 / x). R(1 / (1 / x),y,z) * (1 / x) = R(x / 1,y,z) / x. R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. L(K(x,y),x,1 / x) = L((1 / x) * T(x,y),x,y). L((1 / x) * T(x,y),x,y) = L(K(x,y),x,1 / x). L(T(x,y) / x,x,y) = L(K(x,y),x,1 / x). L(K(x,y),x,1 / x) = L(T(x,y) / x,x,y). L(x,y,1 / z) != L(u,y,z \ 1) | u = x. T(x,x \ 1) / x = K(x,x \ 1). K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). x != T(y,y \ z) | (y \ z) \ z = x. (x \ 1) \ 1 = K(x,x \ 1) * x. K(x,x \ 1) * x = (x \ 1) \ 1. T(x,x \ 1) / x != y | y = K(x,x \ 1). T(x,x \ 1) / x != y | K(x,x \ 1) = y. ((x \ 1) \ 1) / x != y | y = K(x,x \ 1). ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. x \ y != L(T((z \ u) \ w,v5),z \ u,z) | x * T(u \ (z * w),v5) = y. x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). 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. T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. (T(x,y) * z) * x = (z * x) * T(T(x,z),y). (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. R(T(T(x,y),z * x),z,x) = T(T(x,y),z). x * y != R((z * (1 / u)) / z,u,w) | ((z * (w / (u * w))) / z) / y = x. ((x * (y / ((1 / y) * y))) / x) / y = ((x * (1 / (1 / y))) / x) * (1 / y). ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. (x \ y) \ (x \ z) != u | ((x \ 1) \ y) \ ((x \ 1) \ z) = u. x != y \ (z * ((z \ y) * u)) | L(u,z \ y,z) = x. L(x,y \ z,y) = L(x,(y \ 1) \ z,y \ 1). L(x,(y \ 1) \ z,y \ 1) = L(x,y \ z,y). x \ ((y \ 1) * z) = L(((y \ 1) \ x) \ z,y \ x,y). L(((x \ 1) \ y) \ z,x \ y,x) = y \ ((x \ 1) * z). R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). x \ y != ((z * u) \ z) \ K(u,z) | x * T(L(u \ 1,u,z) \ 1,z) = y. L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). L(((x \ 1) * (x \ 1)) * y,x \ 1,x) = 1 \ ((x \ 1) * ((x \ 1) * y)). R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). x \ (((y * y) \ z) * ((y * y) * x)) = T(z,(y * y) * x). x \ (((1 / y) * (1 / y)) * z) = (y * ((y \ 1) \ x)) \ z. ((1 / x) * (1 / x)) * (y / z) = ((x \ 1) * (x \ y)) / z. ((1 / x) * (1 / x)) \ (y / z) = (x * ((x \ 1) \ y)) / z. (x * ((x \ 1) \ y)) * z = x * ((x \ 1) \ (y * z)). x * y != z * ((z \ 1) \ (u * x)) | T(z * ((z \ 1) \ u),x) = y. T(x * ((x \ 1) \ y),x) = (x \ 1) \ (y * x). T((x \ 1) * y,x * x) = (1 / x) * T(y,x * x). x \ y != ((1 / z) * (1 / z)) * (u \ y) | u / (z \ (1 / z)) = x. x / (y \ (1 / y)) = x * ((1 / y) \ y). x * (y \ (1 / y)) = x / ((1 / y) \ y). x / ((1 / y) \ y) = x * (y \ (1 / y)). x / (y \ (1 / y)) != z | (x / (1 / y)) * y = z. (x / (1 / y)) * y = x * ((1 / y) \ y). x \ (y * (z * z)) != u | (x \ y) * (z * z) = u. (((x \ 1) \ y) \ z) * (x * x) = (x \ y) \ T(z,x * x). (1 / x) * T(T(y,x),x \ 1) = (x \ (y * (x \ 1))) * x. T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). 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 * (z \ u)) | y * u = x. x * y = T(x,z) * (x * (T(x,z) \ y)). T(x,y) * (x * (T(x,y) \ z)) = x * z. T(x,y) \ (x * z) = x * (T(x,y) \ z). x * y != z * (u * (u \ 1)) | x \ z = y. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (x * z) != x * u | T(x,y) * z = u. (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (T(x,y) \ x) = T(x,y) \ 1. (x / y) * ((y \ x) \ 1) = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = (x / y) * ((y \ x) \ 1). (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. T(x,y) * (x \ 1) != z | x \ T(x,y) = z. T(x,y) * z != x * u | T(x,y) * (x \ z) = u. x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y. L(x,T(x,y) \ x,T(x,y)) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. (x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). ((x \ y) \ (y / x)) * K((x \ y) \ 1,y / x) = ((x \ y) \ 1) * (y / x). T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x * y != R(1 / z,z,u) | (u / (z * u)) / y = x. (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. T(1 / x,(y / (x * y)) * x) = ((y / (x * y)) * x) \ (y / (x * y)). ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). K((x * y) \ x,x * y) = y * T(y \ 1,x * y). x * y != z * T(z \ 1,u * z) | K((u * z) \ u,u * z) / y = x. K((x * y) \ x,x * y) / y = T(1 / y,x * y). (x \ y) * T((x \ y) \ z,y) != u * w | u \ (x \ ((y \ (x * z)) * y)) = w. (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). a(x,y * (z / u),(u * u) * w) = (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)). (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)) = a(x,y * (z / u),(u * u) * w). (x * x) * (y \ (x \ 1)) = T(y \ x,x \ (x \ 1)). T(x \ y,y \ (y \ 1)) = (y * y) * (x \ (y \ 1)). T(x \ y,y \ (y \ 1)) \ z = (x \ (y \ 1)) \ ((y * y) \ z). ((x \ 1) \ y) * (z / (x * x)) = T((x \ y) * z,x \ (x \ 1)). T((x \ y) * z,x \ (x \ 1)) = ((x \ 1) \ y) * (z / (x * x)). (x * x) * (y * ((x * x) \ z)) = T(y,x \ (x \ 1)) * z. ((x * x) * y) / z != u | (x * x) * (y / z) = u. (x * x) * (y / (z * (x * x))) = T(y,x \ (x \ 1)) / z. (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * L((x \ 1) \ ((1 / x) * y),z,u) = x \ L((x \ 1) * (x * y),z,u). (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). x * y != (z \ 1) * L((z \ 1) \ 1,u,w) | x \ (z \ L(z,u,w)) = y. L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. x * y != L(z,u,w) * (z \ 1) | x \ (z \ L(z,u,w)) = y. (x \ 1) \ (x \ L(x,y,z)) = L(T(x,x \ 1),y,z). L(x,y \ 1,L(y,z,u)) = (y \ L(y,z,u)) \ (L(y,z,u) * ((y \ 1) * x)). (x \ L(x,y,z)) \ (L(x,y,z) * ((x \ 1) * u)) = L(u,x \ 1,L(x,y,z)). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). x != y * L(T(z,y),u,w) | L(z,u,w) * y = x. L(x \ 1,y,z) * x = (1 / x) \ L(x \ 1,y,z). (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. R(x / (x / y),z,u) * (x / y) != w | (x / y) * R(y,z,u) = w. (1 / x) * R(x,y,z) = R(x,y,z) / x. ((1 / x) * R(x,y,z)) * x = R(x,y,z). R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. R(x,y,z) / x != u | u = (1 / x) * R(x,y,z). R(x,y,z) / x != u | (1 / x) * R(x,y,z) = u. (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. x \ (T(y,z * z) * x) = T(y,(z * z) * x). T(T(x,y * y),z) = T(x,(y * y) * z). T(x,(y * y) * z) != u | T(T(x,y * y),z) = u. x \ ((y \ (1 / y)) * z) = (y * ((y \ 1) \ x)) \ z. (x * ((x \ 1) \ y)) \ z = y \ ((x \ (1 / x)) * z). (x \ (1 / x)) * (y / z) = ((x \ 1) * (x \ y)) / z. ((x \ 1) * (x \ y)) / z = (x \ (1 / x)) * (y / z). (x \ 1) * (x \ (y / z)) = ((x \ 1) * (x \ y)) / z. ((x \ 1) * (x \ y)) / z = (x \ 1) * (x \ (y / z)). (x \ (1 / x)) \ (y / z) = (x * ((x \ 1) \ y)) / z. (x * ((x \ 1) \ y)) / z = (x \ (1 / x)) \ (y / z). x != (y \ (1 / y)) \ z | y * ((y \ 1) \ z) = x. x * ((x \ 1) \ (y / z)) = (x * ((x \ 1) \ y)) / z. (x * ((x \ 1) \ y)) / z = x * ((x \ 1) \ (y / z)). (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). (x / (x / y)) * (y * z) = ((x / y) \ x) * ((x / (x / y)) * z). ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). (x / y) * z = (y \ x) * ((x / y) * ((y \ x) \ z)). (x \ y) * ((y / x) * ((x \ y) \ z)) = (y / x) * z. (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. x \ ((1 / x) \ L(y,z,u)) = L(x \ ((1 / x) \ y),z,u). L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ (u * T(u \ z,u)) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. x != (1 / y) * T((1 / y) \ 1,z) | T(y,z) / y = x. T(x,y) / x = K(y \ (y / (1 / x)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. x != (y \ 1) * T((y \ 1) \ 1,z) | y \ T(y,z) = x. x \ T(x,y) = K(y \ (y / (x \ 1)),y). K(x \ (x / (y \ 1)),x) = y \ T(y,x). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). K(x \ (x / (1 / y)),x) * y = T(y,x). T(x,y) = K(y \ (y / (1 / x)),y) * x. K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). (x \ y) * z != (y \ (x \ y)) * y | T(x * T(x \ 1,y),x \ y) = z. T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. (x * T(x \ (y \ x),z)) / (y \ x) != u | u = y * T(y \ 1,z). (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. ((x * x) * ((y * z) * u)) / (z * u) = R((x * x) * y,z,u). x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). x * L(x \ (x / y),z,u) = (x / y) * (y * L(y \ 1,z,u)). (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)). (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). L((x * (y \ z)) / z,u,w) * z = (L(x / y,u,w) * y) * (y \ z). x \ y != L(R((z \ u) \ w,v5,v6),z \ u,z) | x * R(u \ (z * w),v5,v6) = y. x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (L(x,y,z) * u) * x = (u * x) * L(T(x,u),y,z). (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. (R(x,y,z) * u) * x = (u * x) * R(T(x,u),y,z). (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. L(((x * y) * T(z,y)) / (x * y),y,x) = (x * (z * y)) / (x * y). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). x \ y != L((z * (u \ 1)) / z,u,w / u) | x * ((z * (w \ (w / u))) / z) = y. x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). x \ y != L(T(T(z,u) \ w,v5),T(z,u),u) | x * T((z * u) \ (u * w),v5) = y. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). R(T(x / y,z * y),y,T(z,y)) = (z * y) \ (x * T(z,y)). x \ y != R(T(T(z / u,w),u * v5),u,v5) | x * T((u * v5) \ (z * v5),w) = y. (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. T(x,y) / x != z | (1 / x) * T(x,y) = z. x != (y * T(z,u)) / y | T((y * z) / y,u) = x. T((x * y) / x,z * x) = L((z \ (y * (z * x))) / x,x,z). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. (x * x) * (((y * z) * u) / (z * u)) = R((x * x) * y,z,u). R(T((x * y) / x,y * x),x,T(y,x)) = (y * x) \ ((y * x) * y). (x * x) * R(y,z,u) = R((x * x) * y,z,u). R((x * x) * y,z,u) = (x * x) * R(y,z,u). R((x * x) * L(y,z,u),w,v5) = (x * x) * L(R(y,w,v5),z,u). R((x * x) * y,z,u) != (x * x) * w | R(y,z,u) = w. R(a(a(x,y,z),u,w) * v5,v6,v7) = ((a(a(x,y,z),u,w) * (v5 * v6)) * v7) / (v6 * v7). ((a(a(x,y,z),u,w) * (v5 * v6)) * v7) / (v6 * v7) = R(a(a(x,y,z),u,w) * v5,v6,v7). ((x * x) \ (y * z)) \ (((x * x) \ 1) * (y * (z * u))) = L(L(u,z,y),y * z,(x * x) \ 1). ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. (x * y) * L(T(y,x),z,u) != w | (L(y,z,u) * x) * y = w. T(L(x,x,x) * y,x) = (1 / x) * (((1 / x) \ y) * x). (x * x) * ((x * L(x,y,z)) \ u) = (x \ L(x,y,z)) \ u. (x \ L(x,y,z)) * ((x * x) * u) = (x * L(x,y,z)) * u. (x \ L(x,y,z)) * T((L(x,y,z) * (x \ 1)) \ u,w) = L(x,y,z) * ((x \ 1) * T((x \ 1) \ (L(x,y,z) \ u),w)). L(x,y,z) * ((x \ 1) * T((x \ 1) \ (L(x,y,z) \ u),w)) = (x \ L(x,y,z)) * T((L(x,y,z) * (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 * T(y,z)) * y = (x * y) * T(y,z). (x * y) / T(y,z) = (x / T(y,z)) * y. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * y. x != (y * T(z,y)) * u | (z * y) * u = x. (x * y) * T(T(x,y),z) = (y * T(T(x,y),z)) * T(x,y). (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),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)) \ ((x * y) * T(y,z)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * T(y,z)) / y = (x / y) * T(y,z). x * y != z * T(u,z) | (u * z) / y = x. (x * (y * x)) / x = y * T(x,y * x). x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (x / T(x,y)) / x = 1 / T(x,y). (1 / T(x,y)) \ (x / T(x,y)) = x. (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). x * (1 / T(x,y)) = T(x,1 / T(x,y)) / T(x,y). T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. x * y != z * T(y,u) | (x / T(y,u)) * y = z. x * T(y,z) != u * y | (u / T(y,z)) * y = x. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x * T(x \ y,y) = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = x * T(x \ y,y). T(x / y,T(y,x)) = T(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). (x / y) \ ((y * x) / y) = T(y,x). T(x,y) = (y / x) \ ((x * y) / x). x * y != (z * (z \ u)) / w | (u / w) / y = x. (x / y) / T(y,y \ x) = (y \ x) / y. x * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). T(x,y * x) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,x * y). (x / y) * T(y,x) != z * u | z \ ((y * x) / y) = u. T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). x \ ((y * (x * y)) / y) != z | T(y,x * y) = z. (x \ 1) \ ((x \ y) / (x * x)) = T((y / x) / T(x,x \ y),x \ 1). T((x / y) / T(y,y \ x),y \ 1) = (y \ 1) \ ((y \ x) / (y * y)). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). x * y != (z * (z \ 1)) * u | u / y = x. T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). x != (y \ 1) / (1 / y) | K(y \ 1,y) = x. K(x \ 1,x) = (1 / (1 / x)) * (x \ 1). (1 / (1 / x)) * (x \ 1) = K(x \ 1,x). (x \ 1) * y != K(x \ 1,x) | T(1 / (1 / x),x \ 1) = y. T(1 / (1 / x),x \ 1) = x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(x,y) != T(z,x \ 1) | T(1 / (1 / x),y) = z. T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. T(x,x \ 1) = T(x,1 / x). T(x,1 / x) = T(x,x \ 1). (x \ 1) \ 1 = T(x,1 / x). T(x,1 / x) = (x \ 1) \ 1. (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). T(x,x \ 1) / x = K(x,1 / x). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. K(x,x \ 1) = K(x,1 / x). K(x,1 / x) = K(x,x \ 1). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). K(x,1 / x) != y | K(x,x \ 1) = y. x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). x * y != K(z,1 / z) | x \ K(z,z \ 1) = y. x \ K(x,x \ 1) = 1 / x. K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). K(x,x \ 1) != y | x * (1 / x) = y. K(x,x \ 1) != y | K(x \ 1,x) \ 1 = y. K(x \ 1,x) \ 1 = x * (1 / x). a(x,y,1 / y) = (x * K(y,y \ 1)) \ ((x * y) * (1 / y)). (x * K(y,y \ 1)) \ ((x * y) * (1 / y)) = a(x,y,1 / y). T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). x != ((y \ 1) \ 1) \ 1 | 1 / y = x. 1 / x = T(x \ 1,x). T(x \ 1,x) = 1 / x. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). T(x \ 1,x) != y | 1 / x = y. x \ y != T(z \ 1,z) | x * (1 / z) = y. x * (1 / x) = K(x \ 1,x). K(x \ 1,x) = x * (1 / x). T(1 / x,y) = T(T(x \ 1,y),x). T(T(x \ 1,y),x) = T(1 / x,y). x * L(1 / x,y,z) = L(x \ 1,y,z) * x. L(x \ 1,y,z) * x = x * L(1 / x,y,z). x != y * (1 / y) | K(y,y \ 1) = x. K(x,x \ 1) = K(x \ 1,x). K(x \ 1,x) = K(x,x \ 1). (x \ 1) * x = K(x,x \ 1). K(x,x \ 1) = (x \ 1) * x. x * y != K(z \ 1,z) | K(z,z \ 1) / y = x. K(x,x \ 1) / x = x \ 1. K(x,x \ 1) != y | K(x \ 1,x) = y. T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). K(x \ 1,x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = K(x \ 1,x). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). (x / (x / y)) / (y \ x) = y / (x / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * (z \ (z * y)). (x / ((y * z) / y)) * (y \ (y * z)) = (x * z) / ((y * z) / y). T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). T(x,1 / T(x,y)) = T((y * T(x,y)) / y,T(x,y) \ 1). T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). x != T(y,z) * (y \ 1) | y \ T(y,z) = x. x \ T(x,y) = T(T(x,x \ 1),y) / T(x,x \ 1). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. a(x,y,1 / y) != (x * K(y,y \ 1)) \ z | (x * y) * (1 / y) = z. (x * K(y,y \ 1)) \ z != a(x,y,1 / y) | (x * y) * (1 / y) = z. R(x,y,z) * (x * u) = x * (u * R(T(x,u),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 \ y = R(x,z,u) * (x \ (R(x,z,u) \ y)). R(x,y,z) * (x \ (R(x,y,z) \ u)) = x \ u. R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). x \ ((x * x) * y) = R(x,x,y) * y. x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. x * (R(x,y,z) * (x \ u)) != w | R(x,y,z) * u = w. (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). (1 / x) \ y = R(x,x,y) * y. R(x,x,y) * y = (1 / x) \ y. R(x,y,z) * (x \ u) != w | (x \ u) * R((x \ u) \ u,y,z) = w. (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). x * y != R(z,u,w) * (z \ 1) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). x \ y != z * (R(z,u,w) \ 1) | x * (R(z,u,w) \ z) = y. (1 / x) * (R(x,y,z) \ x) = L(R(x,y,z) \ 1,x,1 / x). L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). R(x,y,z) \ (x \ u) = x \ (R(x,y,z) \ u). 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 \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. x \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). R(x,y,z) * (x \ (R(x,y,z) \ u)) != w | w = x \ u. R(x,y,z) * (x \ (R(x,y,z) \ u)) != w | x \ 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 != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * T(y,x). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ ((y * (y \ x)) * ((y \ x) \ z)). x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). (x * (y * (z / (1 / u)))) * w = (x * (y * (z / u))) * ((u * u) * w). (x * (y * (z / u))) * ((u * u) * w) = (x * (y * (z / (1 / u)))) * w. (x * (1 / y)) * z = (x * y) * ((y \ (1 / y)) * z). (x * y) * ((y \ (1 / y)) * z) = (x * (1 / y)) * z. (x * y) * ((y \ 1) * (y \ z)) = (x * (1 / y)) * z. x != (y * z) * ((z \ 1) * (z \ 1)) | y * (1 / z) = x. x * (1 / y) = ((x * y) * (y \ 1)) / y. ((x * y) * (y \ 1)) / y = x * (1 / y). a(x * y,(y \ 1) * (y \ z),u) = ((x * y) * (((y \ 1) * (y \ z)) * u)) \ (((x * (1 / y)) * z) * u). ((x * y) * (((y \ 1) * (y \ z)) * u)) \ (((x * (1 / y)) * z) * u) = a(x * y,(y \ 1) * (y \ z),u). (x * y) * (((y \ 1) \ 1) \ z) = (x * (1 / y)) * ((y \ 1) \ z). (x * (1 / y)) * ((y \ 1) \ z) = (x * y) * (((y \ 1) \ 1) \ z). ((x \ 1) * (x \ 1)) * (y / ((z * (1 / x)) * 1)) = T(y,(x \ 1) \ ((x \ 1) \ 1)) / (z * x). R(x,y,y) / y = x * (1 / y). T(x * (y \ 1),y) / y = (y \ x) * (1 / y). x * T(y * (1 / x),x) = R(y,x,x). (x * (1 / y)) * y = R(x,y,y). T(x * (1 / y),y) = y \ R(x,y,y). x != R(y,z,z) | (y * (z \ 1)) * ((z \ 1) \ 1) = x. (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. x \ (y * (1 / z)) = (x \ (y * z)) * (z \ (1 / z)). (x \ (y * z)) * (z \ (1 / z)) = x \ (y * (1 / z)). (x \ (y * z)) * ((z \ 1) * (z \ 1)) = x \ (y * (1 / z)). (1 / x) * (((1 / x) \ y) * z) = x * ((x \ y) * z). (1 / x) * (((1 / x) \ y) * x) != z | T(L(x,x,x) * y,x) = z. T(L(x,x,x) * y,x) = x * ((x \ y) * x). (1 / x) * (x * y) = x * ((x \ 1) * y). (1 / x) * y = x * ((x \ 1) * (x \ y)). x * ((x \ 1) * (x \ y)) = (1 / x) * y. x \ y = (x \ 1) * (x \ ((1 / x) \ y)). (x \ 1) * (x \ ((1 / x) \ y)) = x \ y. x \ ((1 / x) * y) = (x \ 1) * (x \ y). L(x,y,y) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x,x). x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. L(x,y \ 1,y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x \ 1,x). x * y = (1 / x) * (x * ((x \ 1) \ y)). (1 / x) * (x * ((x \ 1) \ y)) = x * y. (1 / x) \ (x * y) = x * ((x \ 1) \ y). (1 / x) \ y = x * ((x \ 1) \ (x \ y)). x * ((x \ 1) \ (x \ y)) = (1 / x) \ y. x * y != (1 / z) * (z * R(z \ 1,u,w)) | x \ R(1 / z,u,w) = y. x \ R(1 / x,y,z) = (x \ 1) * R(x \ 1,y,z). (x \ 1) * R(x \ 1,y,z) = x \ R(1 / x,y,z). x * y != (1 / z) * (z * u) | x \ L(u,z,z) = y. x \ L(y,x,x) = (x \ 1) * y. x * ((x \ 1) * y) != z | L(y,x,x) = z. x * (y * (x \ 1)) = L(T(y,x \ 1),x,x). L(T(x,y \ 1),y,y) = y * (x * (y \ 1)). x * y = L((x \ 1) \ y,x,x). L((x \ 1) \ y,x,x) = x * y. x * y != L(T(1 / z,u),z,z) | x \ T(z \ 1,u) = y. x \ T(x \ 1,y) = (x \ 1) * T(1 / x,y). (x \ 1) * T(1 / x,y) = x \ T(x \ 1,y). x * y != L(T(z \ u,w),z,z) | x \ T((1 / z) * u,w) = y. x \ T((1 / x) * y,z) = (x \ 1) * T(x \ y,z). x \ y != z * ((z \ 1) * u) | x * L(u,z,z) = y. (1 / x) * L(y,x,x) = L((x \ 1) * y,x,x). L((x \ 1) * y,x,x) = (1 / x) * L(y,x,x). x * y != z * ((z \ 1) * u) | x \ L(u,z,z) = y. (x \ 1) \ L(y,x,x) = ((x \ 1) \ 1) * y. x \ L(y,x,x) != z | (x \ 1) * y = z. L((x \ 1) \ y,x,x) != z | x * y = z. x * (x * ((x \ y) * z)) = L(((x \ 1) \ y) * z,x,x). L(((x \ 1) \ y) * z,x,x) = x * (x * ((x \ y) * z)). x \ y != (x \ 1) * L((x \ 1) \ z,u,w) | L(x * z,u,w) = y. L(x * y,z,u) = L(L((x \ 1) \ y,z,u),x,x). L(L((x \ 1) \ y,z,u),x,x) = L(x * y,z,u). (x \ 1) * y != x \ z | L(y,x,x) = z. x \ y != (x \ 1) * z | L(z,x,x) = y. (x * y) * ((y \ 1) * ((y \ 1) * z)) = (x * (1 / y)) * L(z,y,y). R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x,x). L(R((x \ 1) \ y,z,u),x,x) = R(x * y,z,u). L((x * x) * y,x,x) = x * (x * y). 1 / (1 / x) = L(x,x \ 1,x). L(x,x \ 1,x) = 1 / (1 / x). x * K(x \ 1,x) = 1 / (1 / x). x * y != L(z,z \ 1,z) | x \ (1 / (1 / z)) = y. x \ (1 / (1 / x)) = K(x \ 1,x). 1 / (1 / x) != y | x * K(x \ 1,x) = y. x * y != (1 / x) * (((1 / x) \ z) * u) | (x \ z) * u = y. (x \ y) * z = (x \ 1) * (x \ (((1 / x) \ y) * z)). (x \ 1) * (x \ (((1 / x) \ y) * z)) = (x \ y) * z. (1 / x) * y != z | L(x \ y,x \ 1,x) = z. (x \ 1) \ (x \ y) = x \ ((1 / x) \ y). L((x \ 1) * (x \ y),x,x) != z | (1 / x) * ((1 / x) * y) = z. L(x \ (y * ((y \ 1) \ z)),x,1 / y) = ((1 / y) * x) \ (y * z). x * y != z | L((x \ 1) \ y,x,x) = z. (x * y) \ ((1 / x) \ z) = ((x \ 1) * y) \ (x \ z). ((x \ 1) * y) \ (x \ z) = (x * y) \ ((1 / x) \ z). x * L(T(x,x \ 1),y,z) = (1 / x) \ L(x,y,z). ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). a(x,x,x \ (x \ y)) = y \ (x \ ((1 / x) \ y)). T(T(x,x \ 1) * y,x) = x * ((x \ y) * x). x != y * (z * (z \ 1)) | y = x. x = L(T(x,x \ 1),x,x). L(T(x,x \ 1),x,x) = x. T(L(x,y,y),y \ 1) = y * (x * (y \ 1)). L(T(x,y),x,x) != z | T(T(x,y),x \ 1) = z. T(T(x,x \ 1),x \ 1) = x. (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x). L(((x \ 1) \ 1) \ y,x,x) = (x \ 1) * y. (x \ 1) \ L(y,x,x) = L(x,x,x) * y. ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. (x \ 1) * y != L(z,x,x) | ((x \ 1) \ 1) \ y = z. L(x,y,y) != (y \ 1) * z | ((y \ 1) \ 1) \ z = x. x * T(1 / (1 / x),y) = (1 / x) \ T((1 / x) \ 1,y). (1 / x) \ T((1 / x) \ 1,y) = x * T(1 / (1 / x),y). L(T(1 / x,y),x \ 1,x) = T(x \ 1,y). x * y != L(R((z \ 1) \ u,w,v5),z,z) | x \ R(z * u,w,v5) = y. x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). x \ R(x * y,z,u) != w | (x \ 1) * R((x \ 1) \ y,z,u) = w. (x \ ((1 / x) \ y)) / T(y,a(x,x,x \ (x \ y))) = y \ (x \ ((1 / x) \ y)). ((1 / x) \ 1) * R((1 / x) \ 1,y,z) = (1 / x) \ R(x * K(x \ 1,x),y,z). (1 / x) \ R(x * K(x \ 1,x),y,z) = ((1 / x) \ 1) * R((1 / x) \ 1,y,z). (x \ 1) * T((1 / x) \ y,x) = (x \ y) * x. ((x \ 1) * y) \ T(z,x) = (x * y) \ ((1 / x) \ (z * x)). (x * y) \ ((1 / x) \ (z * x)) = ((x \ 1) * y) \ T(z,x). x \ ((1 / x) \ y) != ((x \ 1) \ 1) \ z | (x \ 1) \ y = z. ((x \ 1) \ 1) \ y != x \ ((1 / x) \ z) | (x \ 1) \ z = y. (1 / x) \ T((1 / x) \ 1,y) = x * T((x \ 1) \ 1,y). (x \ 1) * R(T(y,x \ 1),z,u) = x \ R(x * (y * (x \ 1)),z,u). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). (1 / x) \ T(x,y) = x * T((x \ 1) \ 1,y). x * T((x \ 1) \ 1,y) = (1 / x) \ T(x,y). (x / y) * T(((x / y) \ 1) \ 1,y) = (1 / (x / y)) \ (y \ x). (x \ y) \ (x \ z) = ((1 / x) \ y) \ ((1 / x) \ z). ((1 / x) \ y) \ ((1 / x) \ z) = (x \ y) \ (x \ z). ((1 / x) \ y) \ (x * z) = (x \ y) \ (x \ L(z,x,x)). (x \ y) \ (x \ L(z,x,x)) = ((1 / x) \ y) \ (x * z). (x \ y) \ ((x \ 1) * z) = ((1 / x) \ y) \ (x * z). ((1 / x) \ y) \ (x * z) = (x \ y) \ ((x \ 1) * z). L(x,y,z) * (x * u) = x * (u * L(T(x,u),y,z)). x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). x \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. (x * y) / (x * (L(x,z,u) \ y)) = L(x,z,u). L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). L(x,y,z) \ u = x * (L(x,y,z) \ (x \ u)). x * (L(x,y,z) \ (x \ u)) = L(x,y,z) \ u. L(x,y,z) \ x = x * (L(x,y,z) \ 1). x * (L(x,y,z) \ 1) = L(x,y,z) \ x. x * y != L(z,u,w) * (z * v5) | x \ (z * (L(z,u,w) * v5)) = y. ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). x * (L(x,y,z) * u) != L(x,y,z) * w | x * u = w. L(x,y,z) * u != x * (L(x,y,z) * w) | x * w = u. L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. x * (L(x,y,z) * (x \ u)) != w | L(x,y,z) * u = w. R(1 / x,x,L(x,y,z) \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. x \ y != z * (L(z,u,w) \ 1) | x * (L(z,u,w) \ z) = y. (x \ 1) * (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) = L(L((x \ 1) \ 1,y,z) \ 1,x,x). (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,1 / x). L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). T(x * L(x,y,z),L(x,y,z) \ (L(x,y,z) \ 1)) = (L(x,y,z) * L(x,y,z)) * (L(x,y,z) \ x). T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). L(x,y,z) * (L(x,u,w) \ x) = x * (L(x,y,z) * (L(x,u,w) \ 1)). x * (L(x,y,z) * (L(x,u,w) \ 1)) = L(x,y,z) * (L(x,u,w) \ x). x * (L(x,y,z) \ 1) != u | u = L(x,y,z) \ x. x * (L(x,y,z) \ 1) != u | L(x,y,z) \ x = u. (L(x,y,z) \ 1) * x = (L(x,y,z) * T(L(x,y,z) \ 1,x)) * (L(x,y,z) \ x). (L(x,y,z) * T(L(x,y,z) \ 1,x)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). x * y != z \ ((z * z) * u) | x \ ((1 / z) \ u) = y. L(x,y,z) \ ((1 / x) \ u) = x \ (L(x,y,z) \ ((x * x) * u)). x \ (L(x,y,z) \ ((x * x) * u)) = L(x,y,z) \ ((1 / x) \ u). x * (L(x,y,z) \ (x \ u)) != w | L(x,y,z) \ u = w. L(x,y,z) * (x \ u) != x \ w | L(x,y,z) * u = w. x \ y != L(x,z,u) * (x \ w) | L(x,z,u) * w = y. L(L(x,y,z) * (x \ u),x,x) != w | (1 / x) * (L(x,y,z) * u) = w. L(L(x \ 1,y,z) * ((x \ 1) \ u),x,x) = x * (L(x \ 1,y,z) * u). T(x,L(x,y,z) * (x \ u)) = (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u). (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). x \ (L(x,y,z) * u) != w | L(x,y,z) * (x \ u) = w. L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). L(x,y,z) \ (x * u) != w | x * (L(x,y,z) \ u) = w. L(L(x,y,z),u,w) \ (L(x,u,w) * v5) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). T(L(x,y,z),x * (L(x,y,z) \ u)) = (L(x,y,z) \ (x * u)) \ (x * u). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). (L(x,y,z) * L(x,y,z)) * ((x \ L(x,y,z)) \ u) = (L(x,y,z) \ (x \ 1)) \ u. (x \ (L(x,y,z) \ u)) * L((L(x,y,z) \ (x \ u)) \ (x \ u),w,v5) = L(L(x,y,z),w,v5) * (L(x,y,z) \ (x \ u)). L(x,y,z) * (L(x,u,w) \ x) != x * v5 | L(x,y,z) * (L(x,u,w) \ 1) = v5. (x / y) * (L(x / y,z,u) \ y) != w | L(x / y,z,u) \ x = w. (x \ 1) * (L(x \ 1,y,z) \ ((x * x) * u)) != w | L(x \ 1,y,z) \ (x * u) = w. (x \ 1) * (L(x \ 1,y,z) \ (x \ ((1 / x) \ u))) != w | L(x \ 1,y,z) \ (x \ u) = w. L(L(x,y,z),u,w) \ (L(x,u,w) * v5) != v6 | L(x,u,w) * (L(L(x,u,w),y,z) \ v5) = v6. (L(x,y,z) \ x) * (u * u) != w | x * (L(x,y,z) \ (u * u)) = w. (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 * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x \ (y * K(z \ (z / (y \ x)),z)) = T(x \ y,z). (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / 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 \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. x \ T(y,z) = (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). (x / y) * T(y,z) = x * K(z \ (z / (x \ (x / y))),z). K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). x \ (y * K((y \ x) \ 1,y \ x)) = T(x \ y,y \ x). x \ ((y * x) / y) = K(x \ (x / (x \ (x / y))),x). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. x * T(x \ y,z) = (T(1 / (x / y),z) * (x / y)) * y. (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). (x * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). x != y * T(y \ (z * y),u) | T(z,u) * y = x. T(x,y / (x * y)) * y = K((y / (x * y)) \ 1,y / (x * y)) * (x * y). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). T(((1 / x) \ y) * z,(1 / x) \ ((1 / x) \ 1)) = (x \ y) * (z / ((1 / x) * (1 / x))). T((x \ y) * (z * x),x \ (x \ 1)) = ((x \ 1) \ y) * (z * (x \ 1)). x \ T(L(x,y,z),u) = T(L(x,y,z),u) * (x \ 1). T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). T(x * y,x) = (((x * y) * x) / (x * y)) * y. (((x * y) * x) / (x * y)) * y = T(x * y,x). ((x * y) / x) * z = y * (((x * y) / x) * (y \ z)). x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. ((x * y) * x) / (x * y) != z | R((y * x) / y,y,T(x,y)) = z. R((x * y) / x,x,T(y,x)) = T(y * x,y) / x. T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. x \ y != T(T(z * u,z) / u,u) | x * R(z,u,T(z,u)) = y. x * R(y,x,T(y,x)) = T(y * x,y). T(x,y) = ((x * y) / x) * (y \ x). x * y != ((z * u) / z) * (u \ z) | T(z,u) / y = x. T(x,y) / (y \ x) = (x * y) / x. x * y != ((z * u) / z) * (u \ z) | x \ T(z,u) = y. (x \ y) \ T(y,x) = T((y * x) / y,x \ y). T((x * y) / x,y \ x) = (y \ x) \ T(x,y). ((x * y) / x) \ T(x,y) = y \ x. T(x,x / y) / y = (x * (x / y)) / x. T(x / y,y) = (x / (x / y)) * (y \ (x / y)). (x / (x / y)) * (y \ (x / y)) = T(x / y,y). T(x,x / y) = ((x * (x / y)) / x) * y. ((x * (x / y)) / x) * y = T(x,x / y). T(x,R(1 / y,y,x)) = ((x * R(1 / y,y,x)) / x) * (y * x). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). T(x,R(y,y \ 1,x)) = ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). x / y != (z * (u / y)) / z | y * ((z * (y \ u)) / z) = x. x * ((y * (x \ y)) / y) = T(y,y / x). T(T(x,x / y) / y,x) = x / y. x \ L((y * ((x \ 1) \ y)) / y,x \ 1,x) = T(y,y / (x \ 1)). (x / y) * ((x * y) / x) = T(x,x / (x / y)). T((x \ y) \ T(y,x),y) = T(x,x \ y). T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). (x \ y) \ y = T((x \ y) \ T(y,x),y). T((x \ y) \ T(y,x),y) = (x \ y) \ y. x * y != T((z * u) / z,z) | u / y = x. x / (y \ ((y * x) / y)) = (y * x) / ((y * x) / y). (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). (x / T(y,x)) * y = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. x * ((y / (y / x)) * z) = (y / (y / x)) * (x * z). (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). x != y * ((1 / z) * z) | y = x. x = (1 / (1 / x)) * (x * (1 / x)). (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,x \ 1) = x. x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. x * y != ((1 / z) * z) * u | u / y = x. ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). (x * y) / ((z * y) / z) != u | (x / ((z * y) / z)) * y = u. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. (x * (1 / (y \ 1))) * (((y \ 1) \ 1) \ z) = (x * (y \ 1)) * ((T(y,y \ 1) \ 1) \ z). (x * (y \ 1)) * ((T(y,y \ 1) \ 1) \ z) = (x * (1 / (y \ 1))) * (((y \ 1) \ 1) \ z). T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). (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). x * T(x \ (y * z),u) = ((x / z) * T((x / z) \ y,u)) * z. ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). (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) * (y * T(y \ 1,z)) = ((x * y) * T((x * y) \ x,z)) * y. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). x * y != z * T(z \ T(u,z),w) | x \ T(z * T(z \ u,w),z) = y. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. T(x,(x \ 1) * x) = x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. T(x \ 1,x \ T(x,y)) = x \ 1. T(1 / x,T(x,y) / x) = 1 / x. R(x,x \ 1,x) = T(x,x \ 1). (x \ 1) \ 1 = R(x,x \ 1,x). R(x,x \ 1,x) = (x \ 1) \ 1. R(x,x \ 1,x) != y | x / K(x \ 1,x) = y. x / K(x \ 1,x) = (x \ 1) \ 1. T(x \ T(x,y),x \ 1) = x \ T(x,y). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. ((x \ 1) \ 1) \ x = K(x \ 1,x). ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x != L(y \ T(y,z),y,z) | K(y,z) = x. K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. (x \ 1) * ((x \ 1) \ 1) = T(x,K(x \ 1,y)) * (x \ 1). T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * (y \ T(y * (x \ (y \ 1)),z)) = (x * T(x \ 1,z)) * (y \ 1). x * (K(x \ 1,x) * (x \ y)) = (x * T(x \ 1,x)) * y. ((x \ y) * T((x \ y) \ 1,y)) * y = (x \ y) * ((y \ T(x,x \ y)) * y). (x \ y) * ((y \ T(x,x \ y)) * y) = ((x \ y) * T((x \ y) \ 1,y)) * y. 1 = T(x,K(x \ 1,y)) * (x \ 1). T(x,K(x \ 1,y)) * (x \ 1) = 1. T(x,K(x \ 1,y)) = x. x \ y != T(z,K(z \ 1,u)) | x * z = y. K(x \ 1,y) * x = x * K(x \ 1,y). T(1 / x,K(x,y)) = 1 / x. x \ y != T(1 / z,K(z,u)) | x * (1 / z) = y. K(x,y) * (1 / x) = (1 / x) * K(x,y). R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). ((1 / x) * (K(x,y) * z)) * a(1 / x,K(x,y),z) = (K(x,y) * (1 / x)) * z. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x \ (K(x \ 1,x) * y) = K(x \ 1,x) * (x \ y). x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). x != R(1 / (y / z),y / z,z) | z / y = x. x / y = T((1 * x) / y,K(y / x,z)). T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). x \ y = T(x \ y,K(x / y,z)). T(x \ y,K(x / y,z)) = x \ y. T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ z,u))) / z = ((x * y) / z) * T(((x * y) / z) \ x,u). ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). x * ((y \ (x \ (z * y))) * y) = (x * T(x \ z,y)) * y. x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = ((x * y) * T((x * y) \ x,u)) * z. ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z. ((x * (y \ z)) * T((x * (y \ z)) \ x,z)) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). ((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. T(x * T(x \ (y / z),u),z) = z \ (x * (z * T(z \ (x \ y),u))). x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). x * (y * T(y \ (x \ z),u)) != w | (x * y) * T((x * y) \ z,u) = w. (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. x * (y * T(y \ z,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x * (y * T(y \ 1,x)) = ((x \ (x / y)) * x) * y. ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). ((x \ y) * x) * (y \ x) = x * ((y \ x) * T((y \ x) \ 1,x)). x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * y != x * (x * T(x \ T(z,x),x)) | T((x \ z) * x,x) = y. T((x \ y) * x,x) = (x \ T(y,x)) * x. x * (T((x \ y) * x,x) / x) = T(y,x). x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x * (y / x),x) = x * (T(y,x) / x). x \ T(x * y,x) = T(y * x,x) / x. T(x * y,y) / y = y \ T(y * x,y). x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). x * y != z * (T(u,z) / z) | x \ T(z * (u / z),z) = y. x \ T(x * (y / x),x) = T(y,x) / x. T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. T(x * L(y,z,u),x) / x = x \ T(x * L((x * y) / x,z,u),x). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. T(T(x,y) / y,z) = y \ T(y * T(x / y,z),y). x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). x != y * (z * T(z \ (y \ (u * z)),w)) | (y * T(y \ u,w)) * z = x. (x * T(x \ y,x)) * (1 / x) = T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x). T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). x != y * (z * T(u,z)) | y * (u * z) = x. x * ((y \ 1) * y) = ((x / y) * K(y \ 1,y)) * y. ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). x * y != R(z,u,y) * (u * y) | z * u = x. x * (y \ 1) = (R(x,y \ 1,y) / y) * K(y \ 1,y). (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). x * (y \ ((x \ y) * x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). ((x \ y) * x) * (y \ x) = x * K(x \ y,x). (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). (x * y) * ((y * x) \ y) = y * K(x,y). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. (x * y) * L(x \ 1,x,y) = y * K(x,y). T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). (x * ((y * y) \ z)) / ((y * y) \ z) = R(x,y \ (y \ 1),z). x = R(x,y \ (y \ 1),z). R(x,y \ (y \ 1),z) = x. R(x,(1 / y) \ y,z) = x. x * (((1 / y) \ y) * z) = (x * ((1 / y) \ y)) * z. (x * ((1 / y) \ y)) * z = x * (((1 / y) \ y) * z). (x * ((1 / y) \ y)) * z = x * (y * ((y \ 1) \ z)). ((x * (y \ 1)) * z) / ((y \ 1) * z) = R(x,y,(y * y) \ z). R(x,y,(y * y) \ z) = ((x * (y \ 1)) * z) / ((y \ 1) * z). x != ((y * z) * u) / (z * u) | R(y,z,u) = x. R(x,y \ 1,z) = R(x,y,(y * y) \ z). R(x,y,(y * y) \ z) = R(x,y \ 1,z). R(x,y,(y * y) \ z) != u | R(x,y \ 1,z) = u. R(x,y,((y * y) \ z) * u) != w | R(x,y \ 1,z * u) = w. ((x \ (x / y)) * x) * y != z | x * (y * T(y \ 1,x)) = z. x * y != R(R(z / u,w,v5),u,u \ 1) | R(z * (u \ 1),w,v5) / y = x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). x \ y != L((z * ((u \ w) \ v5)) / z,u \ w,u) | x * ((z * (w \ (u * v5))) / 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 * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x \ y != L(L(T(z,u) \ w,v5,v6),T(z,u),u) | x * L((z * u) \ (u * w),v5,v6) = y. (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. ((1 * x) / y) * (y / x) = (1 / (y / x)) \ (x / y). (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (1 / (x / y)) * ((y / x) * (x / y)) = y / x. x = (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)). (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. (x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. (1 / ((x * y) \ x)) \ y = (x \ (x * y)) * ((x * y) \ x). (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x * ((y * x) \ y) = (1 / ((y * x) \ y)) \ x. (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. L(T(((x * y) * z) / (x * y),y),y,x) = (x * (z * y)) / (x * y). R(L(x,y,x),y,T(x,y)) = (x * y) \ ((x * y) * x). x != y \ (y * z) | z = x. x = R(L(x,y,x),y,T(x,y)). R(L(x,y,x),y,T(x,y)) = x. R(L(x,y,z),u,w) != v5 | L(R(x,u,w),y,z) = v5. L(R(x,y,T(x,y)),y,x) = x. L((x * R(y,z,T(y,z))) / x,z,y) = (x * y) / x. L(R((x * y) / x,z,T(y,z)),z,y) = (x * y) / x. L(x,y,1 / z) != u | L(x,y,z) = u. L(x \ (y * ((y \ 1) \ z)),x,y) = ((1 / y) * x) \ (y * z). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | L(T(z,x),u,w) = y. L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). x \ ((y * (1 \ (x * y))) / y) = T(y,y / (x \ 1)). x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). T(x,x / (y \ 1)) != z | T(x,y * x) = z. R(x,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). (x * ((x \ 1) \ y)) * (x \ (1 / x)) = T(y,(x \ 1) * (x \ 1)). (x * y) * (z \ (1 / z)) != u | x * (y * (z \ (1 / z))) = u. x * (((x \ 1) \ y) * (x \ (1 / x))) = T(y,(x \ 1) * (x \ 1)). (x * y) * L(T(1 / x,x * y),z,u) = x * (y * L(y \ (x \ L(y,x,x)),z,u)). x * (y * L(y \ (x \ L(y,x,x)),z,u)) = (x * y) * L(T(1 / x,x * y),z,u). R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). (T(x,y) * z) * R((z * T(T(x,z),y)) \ u,w,v5) = z * (T(T(x,z),y) * R(T(T(x,z),y) \ (z \ u),w,v5)). x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = (T(y,z) * x) * R((x * T(T(y,x),z)) \ u,w,v5). (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). x * L(y,z,u) = ((x / y) * L(y,z,u)) * y. ((x / y) * L(y,z,u)) * y = x * L(y,z,u). x != (y * z) * L(u,z,y) | y * (z * u) = x. x * (y * y) = (x * L(y,y,x)) * y. (x * L(y,y,x)) * y = x * (y * y). x != (y * (y \ 1)) * z | z = x. L(x \ 1,y,z) = (x * L(x \ 1,y,z)) * (x \ 1). (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. x * y != z * (y * y) | z / (y \ 1) = x. x / (y \ 1) = x * L(y,y,x). x * L(y,y,x) = x / (y \ 1). x \ (x / (y \ 1)) = L(y,y,x). L(x,x,y) = y \ (y / (x \ 1)). x * y != R(z,u,u) / (u \ 1) | x \ (z * u) = y. R(x,y,y) \ (x * y) = L(y,y,R(x,y,y)). L(x,x,R(y,x,x)) = R(y,x,x) \ (y * x). x * L(1 / y,1 / y,x) = x / y. L(L(x,x,y) \ z,L(x,x,y),y) = (y / (x \ 1)) \ (y * z). (x / (y \ 1)) * L(L(z,L(y,y,x),x),u,w) = x * (L(y,y,x) * L(z,u,w)). T(1 / x,L(x,y,z)) = L(x,y,z) \ (L(x,y,z) / x). L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). (x * y) / L(y,z,u) != w | w = (x / L(y,z,u)) * y. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. (x * L(y,z,u)) / y != w | w = (x / y) * L(y,z,u). (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w). ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). K(x \ 1,x * ((y * x) \ y)) = L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))). L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). R(L(x,y,z),T(1 / x,L(x,y,z)),x) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x. x / L(x,y,z) != u | (1 / L(x,y,z)) * x = u. L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). x * y != (z * u) * L((z * u) \ z,w,v5) | x \ (z * (u * L(u \ 1,w,v5))) = y. x \ ((x * y) * (z * L(z \ 1,u,w))) = (x \ ((x * y) * z)) * L((x \ ((x * y) * z)) \ y,u,w). (x \ ((x * y) * z)) * L((x \ ((x * y) * z)) \ y,u,w) = x \ ((x * y) * (z * L(z \ 1,u,w))). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x * L(x \ (y * (z \ x)),u,w) = (L(y / z,u,w) * z) * (z \ x). (L(x / y,z,u) * y) * (y \ w) = w * L(w \ (x * (y \ w)),z,u). x * y != (z * u) * R((z * u) \ (z * w),v5,v6) | x \ (z * (u * R(u \ w,v5,v6))) = y. x \ (x * (y * R(y \ z,u,w))) = (x \ (x * y)) * R((x \ (x * y)) \ z,u,w). (x \ (x * y)) * R((x \ (x * y)) \ z,u,w) = x \ (x * (y * R(y \ z,u,w))). x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). x \ (y * L(y \ z,u,w)) = (x \ y) * L((x \ y) \ (x \ z),u,w). (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). x != R(y / z,u,w) * z | z * R(z \ y,u,w) = x. x * R(x \ (y * z),u,w) = (R(y / (x / z),u,w) * (x / z)) * z. (R(x / (y / z),u,w) * (y / z)) * z = y * R(y \ (x * z),u,w). 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 * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). T((x / y) / T(y,y \ x),y \ 1) = (y \ 1) \ (y \ (x / (y * y))). T(x,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)). L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). x != y * R(T(z,y),u,w) | R(z,u,w) * y = x. R(x,y,z) * (u \ 1) = u \ R(u * (x * (u \ 1)),y,z). x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). x * y != z * (T((z \ u) * z,z) / z) | T(u,z) / y = x. T(x,y) / (1 / y) = (y \ (x / (1 / y))) * y. (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). x * (y * L(y \ (x \ (z * y)),u,w)) = (L(z / x,u,w) * x) * y. (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). K(x,x * L(x \ 1,y,z)) = 1. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ L(x,y,z)) = x \ 1. R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * 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((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. x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x \ 1,y) = T(T(x \ 1,y),x \ R(x,z,u)). T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. (x / y) * (y * L(y \ ((x / y) \ z),u,w)) != v5 * v6 | v5 \ (x * L(x \ z,u,w)) = v6. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). (x * L(x \ y,z,u)) * (x \ w) = w * L(w \ (y * (x \ w)),z,u). ((x / y) * R((x / y) \ z,u,w)) * y = x * R(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 * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(T(x,y),1 / T(x,z)) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). x \ y != (z \ u) * ((u * ((z \ u) \ 1)) / u) | x * K(u,z / u) = y. x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). x \ ((x * K(x,y)) * z) = T(x,R(y,x,(y * x) \ x)) * (x \ z). T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). (x * K(x,y)) * (x \ z) = x \ ((x * K(x,y)) * z). x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). x \ (x * K(x,y)) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). (x \ 1) * y != x \ (x * K(x,z)) | T(x * K(x,z),x \ 1) = y. T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). x != (y \ 1) \ (y \ z) | y \ ((1 / y) \ z) = x. x \ ((1 / x) \ (y / (x * x))) = T((y / x) / T(x,x \ y),x \ 1). T((x / y) / T(y,y \ x),y \ 1) = y \ ((1 / y) \ (x / (y * y))). R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). x * y != z * L(z \ T(u,z),w,v5) | x \ T(z * L(z \ u,w,v5),z) = y. x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). L(T(x,y) / y,z,u) = y \ T(y * L(x / y,z,u),y). x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). x \ T(x * L((x * y) / x,z,u),x) != w | T(x * L(y,z,u),x) / x = w. T(x * L(y,z,u),x) / x = L(T(x * y,x) / x,z,u). L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. x * y != (z * x) * R((z * x) \ (u * x),w,v5) | T(z * R(z \ u,w,v5),x) = y. T(x * R(x \ y,z,u),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). x * y = ((x / R(y,z,u)) * y) * R(y,z,u). ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * y) / R(y,z,u) != w | w = (x / R(y,z,u)) * y. (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). x \ y != R(T(z,u * R(z,w,v5)),u,R(z,w,v5)) | x * T(z,u) = y. (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). x \ y = (x * R(y / x,z,u)) \ (y * R(y / x,z,u)). (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. x * (x * ((y * (x \ 1)) / y)) = (x * ((y * (x \ 1)) / y)) * x. (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). (x * (1 / x)) * (x \ y) = y * L(y \ (1 * (x \ y)),x,x \ 1). x * L(x \ (1 * (y \ x)),y,y \ 1) = (y * (1 / y)) * (y \ x). x * L(x \ (1 * (y \ x)),y,y \ 1) = K(y,1 / y) * (y \ x). x * L(x \ (y \ x),y,y \ 1) = K(y,1 / y) * (y \ x). x * (K(x,1 / x) * (x \ y)) = (x * (1 / x)) * y. x * (K(x,1 / x) * (x \ y)) = K(x,1 / x) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,1 / x) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). T((x / y) / T(y,y \ x),y \ 1) = y \ (y \ T(x,y \ (y \ 1))). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). x * (y * L(y \ (x \ z),u,w)) = (x * L(x \ (z / y),u,w)) * y. (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). ((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ (u * z)),w,v5)) = (T(x,x \ y) * R(T(x,x \ y) \ u,w,v5)) * z. R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (x * 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). T((x \ y) / x,x \ 1) = x \ (x \ T(y,x \ (x \ 1))). x \ (x \ T(y,x \ (x \ 1))) = T((x \ y) / x,x \ 1). x \ (x \ T(y * x,x \ (x \ 1))) = T(T(y,x) / x,x \ 1). (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). (x * L(x \ y,z,u)) / w = (x / w) * L((x / w) \ (y / w),z,u). (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. x != y * L(y \ (y / z),u,w) | (y / z) * (z * L(z \ 1,u,w)) = x. (x / y) * (y * L(y \ 1,z,u)) = (x * (y * L(y \ (x \ x),z,u))) / y. (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). (x / y) * L(T(y,x),z,u) = (x * L(x \ (y * x),z,u)) / y. (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). (L(x,y,z) * u) / x = (u / x) * L(T(x,u),y,z). (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. x * L(T(y,x * y),z,u) = (L(y,z,u) * (x * y)) / y. (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). x != y \ (L(y,z,u) * (w * y)) | L(y,z,u) * T(w,y) = x. L(x,y,z) * T(u,x) = T(u * L(T(x,u * x),y,z),x). T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). 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. L(x,y,y) \ x = a(y,y,x). x \ y != L(L(z,u,w) \ z,L(z,u,w),w * u) | x * a(w,u,z) = y. L(x,y,y) * a(y,y,x) = x. a(x,y,z) != L(u,L(z,y,x),x * y) | L(z,y,x) \ z = u. L(x,L(y,z,u),u * z) != a(u,z,y) | L(y,z,u) \ y = x. x != L(x,y,y) * z | a(y,y,x) = z. L(x,y,y) * z != x | a(y,y,x) = z. (x * ((y * y) \ z)) \ (x * (((y * y) \ z) * u)) = L(u,z,x / (y * y)). (x * y) * ((z * z) * L(u,y * (z * z),x)) = x * (y * ((z * z) * u)). ((x * y) * z) / (y * ((z * (u * u)) / (u * u))) = R(x,y,z * (u * u)). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). L((x \ 1) * (x \ y),x \ 1,x) = 1 \ ((x \ 1) * ((x \ 1) * y)). T(L(x,y,z),u) != w | L(T(x,u),y,z) = w. L(T(x,x * (L(x,y,z) \ u)),y,z) = (L(x,y,z) \ (x * u)) \ (x * u). T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). T(x,x * T(y,y \ 1)) = T(x,(y \ 1) \ x). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,T(x,y) \ 1) = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). T(x,x / (x * T(x,y))) != z | x * (T(x,T(x,y) \ 1) / x) = z. x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). L(x,(y * y) \ z,u) = L(x,z,u / (y * y)). L(x,y,z / (u * u)) != w | L(x,(u * u) \ y,z) = w. x != L(y,1,z) | y = x. x = L(x,(y * y) \ 1,z). L(x,(y * y) \ 1,z) = x. L(x,y \ (y \ 1),z) = x. L(x,(y / (z * z)) \ ((z * z) * (y \ 1)),u) = x. L(x,(y * y) * (z \ ((y * y) * (z \ 1))),u) = x. L(x,(y * y) * (z \ ((y * y) * (z \ 1))),u) != w | x = w. ((x * y) * z) / (y * z) = R(x,y,z * (u * u)). R(x,y,z * (u * u)) = ((x * y) * z) / (y * z). R(x,y,z) = R(x,y,z * (u * u)). R(x,y,z * (u * u)) = R(x,y,z). R(x,y,z) = R(x,y,z \ 1). R(x,y,z \ 1) = R(x,y,z). R(x,y,1 / z) = R(x,y,z). R(x,y,z \ (u * u)) = R(x,y,z \ 1). x != R(y,z,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). R(x,y,y) != z | (x * y) * (y \ 1) = z. (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). R(x,y,(z * u) \ ((w * w) * 1)) = R(x,y,((w * w) \ z) * u). R(1 / x,x,L(x,y,z)) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x != R(y,z,u) | R(y,z,u \ 1) = x. R(x,y,z \ 1) = R(x,y,1 / z). R(x,y,1 / z) = R(x,y,z \ 1). x != R(y \ z,y,y) | T(z * (y \ 1),y) = x. T(x * (y \ 1),y) = R(y \ x,y,1 / y). R(x \ y,x,1 / x) = T(y * (x \ 1),x). (x * y) * (y \ 1) = R(x,y,1 / y). x != R(y,z,1 / u) | R(y,z,u) = x. R(x,y,z) = R(x,y,1 / (1 / z)). R(x,y,1 / (1 / z)) = R(x,y,z). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). R(x,y,L(z,z,z)) = R(x,y,z). (x / L(x,y,z)) * (x \ 1) = R(1 / L(x,y,z),x,1 / x). R(1 / L(x,y,z),x,1 / x) = (x / L(x,y,z)) * (x \ 1). R(x,y,z) = R(x,y,z \ (u * u)). R(x,y,z \ (u * u)) = R(x,y,z). (x * (y \ 1)) * ((y \ 1) \ 1) != z | (x * (1 / y)) * y = z. (x * (1 / y)) * y = R(x,y \ 1,y). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | R(z,u \ 1,u) / y = x. R(x,y \ 1,y) / y = x * (1 / y). R(x,1 / y,y) = R(x,y \ 1,y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. x \ R(x,y \ 1,y) = a(x,1 / y,y). R(T(x / (1 / y),z),1 / y,y) != u | T(x * y,z) = u. T(x * y,z) = R(T(x / (1 / y),z),y \ 1,y). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. x * K(y \ 1,y) = (x / (1 / y)) * (y \ 1). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. R(x / y,z,u) != w | (y * R(y \ x,z,u)) / y = w. (L(x,y,z) * R(L(x,y,z) \ 1,x,1 / x)) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). R(x,y,(z * u) \ (w * w)) = R(x,y,((w * w) \ z) * u). R(x,y,z \ (u * u)) != w | R(x,y,z) = w. R(x,y,z * u) = R(x,y,((w * w) \ z) * u). R(x,y,((z * z) \ u) * w) = R(x,y,u * w). R(x,y,z) = R(x,y,(u * u) * z). R(x,y,(z * z) * u) = R(x,y,u). R(x,y,z) = R(x,y,(u * u) \ z). R(x,y,(z * z) \ u) = R(x,y,u). R(x,y,(z \ 1) \ u) = R(x,y,z \ u). R(x,y \ 1,z) = R(x,y,z). x != R(y,z \ 1,u) | R(y,z,u) = x. R(x,y,z) = R(x,(y \ 1) \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). R(x \ 1,x,y) * y = (1 / (x \ 1)) \ y. R(x,x \ 1,y) != z | y / ((x \ 1) * y) = z. x / (((y \ 1) \ 1) * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(x,y \ 1,z) = R(x,1 / y,z). R(x,1 / y,z) = R(x,y \ 1,z). R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. x != R(y,z,1 / (1 / u)) | R(y,z,u) = x. R(x,y \ 1,z) = R(x,1 / y,1 / (1 / z)). R(x,1 / y,1 / (1 / z)) = R(x,y \ 1,z). R(x \ 1,x,y) * y = x \ y. (x \ y) / y = R(x \ 1,x,y). R(x \ 1,x,y) = (x \ y) / y. x * y != z \ z | 1 / y = x. 1 / x = R(x \ 1,x,x). R(x \ 1,x,x) = 1 / x. T(x,x * ((x \ y) / y)) = x. T(x,x * (y / (x * y))) = x. T(x / y,(x / y) * (y / x)) = x / y. T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). T(x,x * y) != z | T(L(x,y,x),y) = z. T(L(x,y / (x * y),x),y / (x * y)) = x. T(x / y,y) = T(y \ x,(x / y) * (y / x)). T(x \ y,(y / x) * (x / y)) = T(y / x,x). T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). R(x,y,1 / z) != u | R(x,y,z \ 1) = u. R(x,1 / y,(1 / z) \ 1) = R(x,y \ 1,z). x \ y = T(x \ y,(y / x) * (x / y)). T(x \ y,(y / x) * (x / y)) = x \ y. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. L(T(x,x * (L(x,y,z) \ u)),y,z) = (x * (L(x,y,z) \ u)) \ (x * u). ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. L(a(x,y,y),x * (y * y),z) != u | (y * y) \ ((z * x) \ (z * ((x * y) * y))) = u. ((x * x) \ y) * L(x,x,x) = (x \ 1) * T(y,L(x,x,x)). ((x * x) \ y) * L(x,x,x) != z | T(y * (1 / x),x * x) = z. T(x * (1 / y),y * y) = (y \ 1) * T(x,L(y,y,y)). (x \ 1) * T(y,L(x,x,x)) = T(y * (1 / x),x * x). (x * y) * T((x * y) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). x * y != (z * x) * T((z * x) \ x,u) | T(z * T(z \ 1,u),x) = y. T(x * T(x \ 1,y),z) = T(x,z) * T(T(x,z) \ 1,y). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). K(x \ (x / T(y,z)),x) = T(y * T(y \ 1,x),z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). (T(x,y) \ 1) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). T(x,y) * T(T(x,y) \ 1,z) != u | u = T(x * T(x \ 1,z),y). T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. T(x,y) \ T(x * (x \ 1),y) = T(T(x,y) \ 1,x \ T(x,z)). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). x != K(y \ (y / T(z \ 1,u)),y) | T(z \ T(z,y),u) = x. T(x \ T(x,y),x) = T(x \ T(x,y),T(x,x \ 1)). T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). L(T(x \ T(x,y),x),x,y) = T((y * x) \ (x * y),T(x,x \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. x != L(T(y \ T(z,u),w),y,u) | T((u * y) \ (z * u),w) = x. T((x * y) \ (y * x),y) = T((x * y) \ (y * x),T(y,y \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). (x / (y \ 1)) * z = (x / y) * (((y \ 1) * (y \ 1)) \ z). (x / y) * (((y \ 1) * (y \ 1)) \ z) = (x / (y \ 1)) * z. (x / y) * (y * ((y \ 1) \ z)) = (x / (y \ 1)) * z. x * y != z * (u * ((u \ 1) \ y)) | z * ((1 / u) \ u) = x. (x / y) * ((1 / y) \ y) = x / (y \ 1). x * ((1 / y) \ y) = (x * y) / (y \ 1). (x * y) / (y \ 1) = x * ((1 / y) \ y). ((x * y) / x) / y = ((x * (1 / (1 / y))) / x) * (1 / y). ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. (((x * y) / x) / y) * (1 / y) = (1 / y) * ((1 / y) * ((x * ((1 / y) \ 1)) / x)). (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). (x * y) * ((z * ((x * y) \ y)) / z) != u | (x * ((z * (x \ 1)) / z)) * y = u. (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * z) * ((y * ((x * z) \ z)) / y)). x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). T(x * T(x \ y,z),y) = T(x,y) * T(T(x,y) \ y,z). T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). (x * y) * T(K(y,x),x) = y * L(x,T(x,y) \ x,T(x,y)). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). x \ (y * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). (x * y) * T(K(y,x),z) = (y * x) * K(z \ (z / K(x,y)),z). (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). (x \ y) * T((x \ y) \ 1,z) != u | x \ (y * T(y \ x,z)) = u. x \ (y * T(y \ x,T(y,x))) = K(T(x / y,T(y,x)),T(y,x)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). (x \ y) * ((y \ T(x,x \ y)) * y) = (x \ ((y \ x) * y)) * y. (x \ y) * ((y \ T(x,x \ y)) * y) = K(y \ x,y) * y. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = (x \ T(x * (z / y),y)) * y. (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). x * y != (z \ 1) * ((z \ ((z \ 1) \ u)) * z) | x \ T(u,z) = y. (x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x. (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | z * ((y * (z \ 1)) / y) = x. T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). T(K(x,y),K(z,x)) = K(x,y). x \ y != T(K(z,u),K(u,w)) | x * K(z,u) = y. K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) != T(z,K(y,u)) | K(x,y) = z. T(x,K(y,z)) != K(u,y) | K(u,y) = x. K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. K(x,y) != T(z,K(u,x)) | K(x,y) = z. T(x,K(y,z)) != K(z,u) | K(z,u) = x. K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * R(K(y,z),u,w) = R(K(y,z),u,w) * K(x,y). R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = T(x * (((x \ 1) * T((x \ 1) \ 1,z)) / T(x,z)),y). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). T(x,y) \ R(x,z,u) = R(x,z,u) * (T(x,y) \ 1). R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). ((x * (y * z)) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. x != y \ (z * (z \ y)) | 1 = x. 1 = K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. 1 / (x \ y) = T(1 / (x \ y),(y \ x) * (x \ y)). T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). T(1 / (x \ y),(y \ x) * (x \ y)) != z | ((y \ x) * (x \ y)) \ (y \ x) = z. ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). x != (y * (y \ z)) / u | z / u = x. x / x = K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)). K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. x != y / y | 1 = x. 1 = K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)). K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. (x * ((y * y) * (z * u))) \ ((x * ((y * y) * z)) * u) = a(x * (y * y),z,u). (x * (y * T(z \ u,u \ (u \ 1)))) \ ((x * (y * (u * u))) * L(z \ (u \ 1),u * u,y)) = a(x,y * (u * u),L(z \ (u \ 1),u * u,y)). L((x * x) \ (y \ ((x * x) * z)),x * x,(x * x) \ y) = T(y,x * x) \ z. (x * (y * L(z,u,w))) / (x * y) = L((x * (y * z)) / (x * y),u,w). L((x * (y * z)) / (x * y),u,w) = (x * (y * L(z,u,w))) / (x * y). L((x * (y * z)) / (x * y),u,w) != v5 / (x * y) | x * (y * L(z,u,w)) = v5. (x * (y * z)) \ ((x * y) * z) = a((u * u) \ x,y,z). a((x * x) \ y,z,u) = (y * (z * u)) \ ((y * z) * u). a(x,y,z) = a((u * u) \ x,y,z). a((x * x) \ y,z,u) = a(y,z,u). a((x * x) \ y,z,u) != w | a(y,z,u) = w. a(x,y,z) = a((u * u) * x,y,z). a((x * x) * y,z,u) = a(y,z,u). a(L(x,y,y),z,u) = a(y * (y * x),z,u). a(x * (x * y),z,u) = a(L(y,x,x),z,u). a(1 / x,y,z) = a(x,y,z). a((1 / x) * y,z,u) = a(x * y,z,u). a(x \ y,z,u) = a((x \ 1) \ y,z,u). a((x \ 1) \ y,z,u) = a(x \ y,z,u). a(((x * x) \ y) * z,u,w) = a(y * z,u,w). a((x * (y \ (z * z))) \ u,w,v5) = a((x * (y \ 1)) \ u,w,v5). a(x,y,z) = a(x \ 1,y,z). a(x \ 1,y,z) = a(x,y,z). x != a(y,z,u) | a(1 / y,z,u) = x. a(1 / x,y,z) = a(x \ 1,y,z). a((x * x) \ (y \ 1),z,u) = a(y * (x * x),z,u). x != y | L(y,z,u * u) = x. L(a(x,y,z),u,w * w) = a((v5 * v5) * x,y,z). a((x * (y \ 1)) \ z,u,w) = a((x * y) \ z,u,w). a((x * y) * z,u,w) = a((((v5 * v5) \ x) * y) * z,u,w). a((((x * x) \ y) * z) * u,w,v5) = a((y * z) * u,w,v5). a((x \ L(x,y,z)) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). a(x * y,z,u) = a((x \ 1) * y,z,u). a((x \ 1) * y,z,u) = a(x * y,z,u). a((1 / x) * y,z,u) != w | a(x * y,z,u) = w. a(L(x \ y,x,x),z,u) != w | a(x * y,z,u) = w. a(L(a(x,y,z),x * (y * z),x * (y * z)),u,w) != v5 | a((x * (y * z)) * ((x * y) * z),u,w) = v5. a(((x \ y) * z) * u,w,v5) = a((((x \ 1) \ y) * z) * u,w,v5). a((((x \ 1) \ y) * z) * u,w,v5) = a(((x \ y) * z) * u,w,v5). a((x * x) * y,z,u) != w | w = a(y,z,u). a((x * x) * y,z,u) != w | a(y,z,u) = w. a((x \ 1) \ y,z,u) != w | a(x \ y,z,u) = w. a(((x \ 1) \ y) * z,u,w) != v5 | a((x \ y) * z,u,w) = v5. a((x * (y \ 1)) \ z,u,w) != v5 | a((x * y) \ z,u,w) = v5. a((x \ L(x,y,z)) \ u,w,v5) != v6 | a((x * L(x,y,z)) \ u,w,v5) = v6. a(x \ 1,y,z) = a(x * (u * u),y,z). a(x * (y * y),z,u) = a(x \ 1,z,u). x != a(y \ 1,z,u) | a(y,z,u) = x. a(x,y,z) = a(x * (u * u),y,z). a(x * (y * y),z,u) = a(x,z,u). a((x * ((y * z) \ ((u * u) * 1))) \ w,v5,v6) = a((x * (((u * u) \ y) * z)) \ w,v5,v6). a((L(x,y,z) \ x) \ u,w,v5) = a((x * L(x,y,z)) \ u,w,v5). a((L(x,y,z) \ x) \ u,w,v5) != v6 | a((x * L(x,y,z)) \ u,w,v5) = v6. a((x * (y \ (z * z))) \ u,w,v5) != v6 | a((x * y) \ u,w,v5) = v6. (x * (y * ((z * z) \ u))) \ ((x * (y / (z * z))) * u) != w | a(x,y / (z * z),u) = w. a(x,y / (z * z),u) = a(x,y,(z * z) \ u). a(x,y,z) = a(x,y * (u * u),(u * u) \ z). a(x,y * (z * z),(z * z) \ u) = a(x,y,u). a(x,y * (z * z),u) = a(x,y,(z * z) * u). T((x * (1 / y)) / x,T(y,z) / y) != u | (x * (1 / y)) / x = u. (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). L(x \ 1,T(x,y),1 / x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). x != (y * z) * T(L(u,z,y),w) | y * (z * T(u,w)) = x. x * (y * T(y \ 1,x)) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). T(x,x * (y * T(y \ 1,x))) = x. (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). T(x,x * K(y,x)) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x * K(y,x),x) = x * K(y,x). T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(x,y) = T(T(x,y),x * (T(x,z) \ x)). T(T(x,y),x * (T(x,z) \ x)) = T(x,y). T(T(x,y),x * (T(x,y) \ z)) != u | (x * (T(x,y) \ z)) \ (x * z) = u. (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). T(x / T(x,y),x) = T(x,y) \ x. T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). ((1 / x) * (K(x,y) * z)) * a(x,K(x,y),z) = (K(x,y) * (1 / x)) * z. L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. (x * x) \ (y \ ((x * x) * z)) = T(y,x * x) \ z. L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. L(T(x,y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. x != ((y / z) \ y) * u | z * u = x. x * R((1 / x) \ 1,y,z) = (1 / x) \ R(x * K(x \ 1,x),y,z). (1 / x) \ R(x * K(x \ 1,x),y,z) = x * R((1 / x) \ 1,y,z). (1 / x) \ R(x * K(x \ 1,x),y,z) = x * R(x,y,z). (1 / x) \ R(x * K(x,x \ 1),y,z) = x * R(x,y,z). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). T(x \ 1,x \ L(x,y,z)) * R((x \ 1) \ 1,u,w) = T((x \ 1) * R((x \ 1) \ 1,u,w),x \ L(x,y,z)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). T(x,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). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,y * (y \ z))). a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). a(x,x \ y,T(z,y)) = (L(z,x \ y,x) * y) \ (z * y). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). x * (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(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). x * y != (z * u) * L((z * u) \ w,v5,v6) | x \ (z * (u * L(u \ (z \ w),v5,v6))) = y. x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w). (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(K(T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). (x * y) / (y * x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). K(x,y) = ((1 / y) * K(x,y)) / (1 / y). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). T(1 / x,K(y,x)) = 1 / x. K(1 / x,K(y,x)) = 1. T(1 / x,x) = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = T(1 / x,x). K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. x \ y != T(z,K(u,z \ 1)) | x * z = y. K(x,y \ 1) * y = y * K(x,y \ 1). x \ 1 = T(x \ 1,K(y,x)). T(x \ 1,K(y,x)) = x \ 1. T(K(x,y),y \ 1) = K(x,y). T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). K(x,x \ 1) * x != y | (x \ 1) \ 1 = y. (x \ 1) \ 1 = x * K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. K(x,x \ 1) * x != y | T(x,x \ 1) = y. T(x,x \ 1) = x * K(x,x \ 1). x * K(x,x \ 1) = T(x,x \ 1). (1 / x) \ R(T(x,x \ 1),y,z) = x * R(x,y,z). T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != L((y \ z) \ 1,y \ z,y) | z \ y = x. x \ y = T(x \ y,K(z,y \ x)). T(x \ y,K(z,y \ x)) = x \ y. x \ y != T(z \ u,K(w,u \ z)) | x * (z \ u) = y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. 1 = K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)). K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. 1 / ((x \ y) / y) = T(1 / ((x \ y) / y),x * ((x \ y) / y)). T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). T(1 / ((x \ y) / y),x * ((x \ y) / y)) != z | (x * ((x \ y) / y)) \ x = z. (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. K(1 / (x / y),(y / x) * (x / y)) = 1. K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. x * y != (z * u) / u | z / y = x. x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). K(1 / x,(y / (x * y)) * x) = 1. T(1 / x,(y / (x * y)) * x) = 1 / x. L(x \ 1,x,y / (x * y)) = 1 / x. L(x \ 1,x,(x \ y) / y) = 1 / x. L(x \ 1,x,R(1 / x,x,y)) = 1 / x. x \ y != L(z \ 1,z,(z \ u) / u) | x * (1 / z) = y. (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. T(1 / (1 / x),R(1 / x,x,y)) = x. T(1 / (1 / x),y / (x * y)) = x. T(x,y / (z * y)) != z | L(z,y / (z * y),z) = x. L(x,y / (x * y),x) = 1 / (1 / x). T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). (x \ 1) \ 1 = T(x,y / (x * y)). T(x,y / (x * y)) = (x \ 1) \ 1. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. L(x,1 / x,x) = 1 / (1 / x). x / (1 / (1 / x)) = x * (1 / x). K(x,x \ 1) = x / (1 / (1 / x)). x / (1 / (1 / x)) = K(x,x \ 1). K(x,x \ 1) \ x = 1 / (1 / x). K(x,x \ 1) * (1 / (1 / x)) = x. T(x / y,y / x) != z | R((y / x) \ 1,y / x,x) = z. R((x / y) \ 1,x / y,y) = ((y / x) \ 1) \ 1. T(((x / y) \ 1) \ 1,y) = T(y \ x,y / x). ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). R(x \ 1,x,y) != z | y / (((x \ 1) \ 1) * y) = z. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. x / (((y \ 1) \ 1) * x) != z | R(y \ 1,y,x) = z. R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. x * (y / (x * y)) = x / (1 / (y / (x * y))). x / (1 / (y / (x * y))) = x * (y / (x * y)). K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). K(x \ (x * y),z) != u | K(y,z) = u. K(x / (y * x),y) = R(y \ 1,y,x) / (x / (y * x)). R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != z * (x * L(x \ (z \ u),w,v5)) | T(z * L(z \ (u / x),w,v5),x) = y. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). 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,z) * L(T(x \ y,z) \ T(u,z),x \ y,x) = T((x \ y) * (y \ (x * u)),z). ((x * (y * (z \ 1))) * u) / ((y * (z \ 1)) * u) = R(x,y * z,(z * z) \ u). R(x,y * z,(z * z) \ u) = ((x * (y * (z \ 1))) * u) / ((y * (z \ 1)) * u). R(x,y * (z \ 1),u) = R(x,y * z,(z * z) \ u). R(x,y * z,(z * z) \ u) = R(x,y * (z \ 1),u). R(x,y,(z * z) \ u) != w | R(x,y,u) = w. R(x,y * z,u) = R(x,y * (z \ 1),u). R(x,y * (z \ 1),u) = R(x,y * z,u). R(x,L(y,z,u) \ y,w) = R(x,y * L(y,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. (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 * ((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 != (z * x) * ((u * ((z * x) \ (w * x))) / u) | T(z * ((u * (z \ w)) / u),x) = y. T(x * ((y * (x \ z)) / y),z) = (z \ (x * z)) * ((y * ((z \ (x * z)) \ z)) / y). (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). T(x * T(x \ 1,T(x,y)),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). x * T(y,z) != T(y * T(y \ 1,T(y,z)),z) | T(y,z) \ 1 = x. T(x,y) \ 1 = (x \ 1) / (x \ T(x,y)). (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). T(T(x,y) \ 1,x \ T(x,z)) != u | T(x,y) \ 1 = u. T(x,y) \ 1 = (x \ T(x,y)) \ (x \ 1). (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. (a(a(x,y,z),u,w) * ((v5 * v6) * v7)) / (v6 * v7) = R(a(a(x,y,z),u,w) * v5,v6,v7). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. L(1 / x,y,z) * (x * u) = x * (u * L(u \ (x \ L(u,x,x)),y,z)). x * (y * L(y \ (x \ L(y,x,x)),z,u)) = L(1 / x,z,u) * (x * y). x * (y * L(y \ ((x \ 1) * y),z,u)) = L(1 / x,z,u) * (x * y). x * (L(x \ 1,y,z) * u) = L(1 / x,y,z) * (x * u). L(1 / x,y,z) * (x * u) = x * (L(x \ 1,y,z) * u). (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). x \ y != L(z \ 1,z,u) \ ((z \ 1) * (z * ((u * z) \ u))) | x * K(z \ 1,z * ((u * z) \ u)) = y. ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,T(x,y)) != z | T(x,y) * T(T(x,y) \ x,x) = z. T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). T(x,y) * T(T(x,y) \ x,x) != z | (T(x,y) \ x) * T(x,y) = z. (T(x,y) \ x) * T(x,y) = L(x,T(x,y) \ x,x). L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). (a(a(x,y,z),u,w) * v5) / v6 != v7 | a(a(x,y,z),u,w) * (v5 / v6) = v7. a(a(x,y,z),u,w) * (((v5 * v6) * v7) / (v6 * v7)) = R(a(a(x,y,z),u,w) * v5,v6,v7). (x \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). a(a(x,y,z),u,w) * R(v5,v6,v7) = R(a(a(x,y,z),u,w) * v5,v6,v7). R(a(a(x,y,z),u,w) * v5,v6,v7) = a(a(x,y,z),u,w) * R(v5,v6,v7). a(x * (y * y),z,u) != w | a(x,(y * y) * z,u) = w. a(x,(y * y) * z,u) = a(x,z,u). a(x,y,z) = a(x,(u * u) \ y,z). a(x,(y * y) \ z,u) = a(x,z,u). a(x,y,z) = a(x,1 / y,z). a(x,1 / y,z) = a(x,y,z). a(x,y * z,u) = a(x,(1 / y) * z,u). a(x,(1 / y) * z,u) = a(x,y * z,u). a(x,y * (y * z),u) = a(x,L(z,y,y),u). x != a(y,z,u) | a(y \ 1,z,u) = x. a(x \ 1,y,z) = a(x,1 / y,z). x != a(y,z * (u * u),w) | a(y,z,(u * u) * w) = x. a(x,y,(z * z) * u) = a(x,1 / (y * (z * z)),u). a(x,1 / (y * (z * z)),u) = a(x,y,(z * z) * u). a(x,y,z) = a(x,y \ 1,z). a(x,y \ 1,z) = a(x,y,z). x != a(y,z,u) | a(y,1 / z,u) = x. a(x,1 / y,z) = a(x,y \ 1,z). a(x,L(y \ z,y,y),u) = a(x,y * z,u). a(x,1 / y,y) != z | x \ R(x,y \ 1,y) = z. x \ R(x,y \ 1,y) = a(x,y \ 1,y). a(x,y * z,u) = a(x,(y \ 1) * z,u). a(x,(y \ 1) * z,u) = a(x,y * z,u). a(x,(y * y) \ (1 / z),u) = a(x,z,(y * y) * u). a(x,(y * y) \ z,u) != w | a(x,z,u) = w. a(x,1 / y,z) = a(x,y,(u * u) * z). a(x,y,(z * z) * u) = a(x,1 / y,u). x != a(y,1 / z,u) | a(y,z,u) = x. a(x,y,z) = a(x,y,(u * u) * z). a(x,y,(z * z) * u) = a(x,y,u). a(x,y,(z * z) * u) != w | a(x,y * (z * z),u) = w. a(x,y * (z * z),u) = a(x,y,u). a(x,y,z) = a(x,y,(u * u) \ z). a(x,y,(z * z) \ u) = a(x,y,u). a(x,y,z) = a(x,y,1 / z). a(x,y,1 / z) = a(x,y,z). a(x,y,z * u) = a(x,y,(1 / z) * u). a(x,y,(1 / z) * u) = a(x,y,z * u). a(x,y,z * u) = a(x,y,((w * w) \ z) * u). a(x,y,((z * z) \ u) * w) = a(x,y,u * w). a(x,y,(z \ 1) \ u) = a(x,y,z \ u). a(x,y,((z \ 1) \ u) * w) = a(x,y,(z \ u) * w). a(x,y,z \ u) = a(x,y,(1 / z) \ u). a(x,y,(1 / z) \ u) = a(x,y,z \ u). a(x,y,T(z,u \ (u \ 1))) = a(x,y,z / (u * u)). x != a(y,z,u) | a(y,z \ 1,u) = x. a(x,y \ 1,z) = a(x,y,1 / z). a(x,y,z) = a(x,y,z \ 1). a(x,y,z \ 1) = a(x,y,z). x != a(y,z,u) | a(y,z,1 / u) = x. a(x,y,1 / z) = a(x,y,z \ 1). x != a(y,z,u \ 1) | a(y,z,u) = x. a(x,y,z) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). a(x,y,L(z \ u,z,u)) = a(x,y,(1 / u) * z). a(x,y,z) = a(x,y / (u * u),z). a(x,y / (z * z),u) = a(x,y,u). a(x,y,(z \ (u * u)) \ w) = a(x,y,(z \ 1) \ w). a(x,y * (z \ 1),u) = a(x,y * z,u). a(x,y,z * u) = a(x,y,(z \ 1) * u). a(x,y,(z \ 1) * u) = a(x,y,z * u). a(x,y,(z \ (u * u)) \ w) = a(x,y,((u * u) \ z) \ w). a(x,y,((z * z) \ u) \ w) = a(x,y,(u \ (z * z)) \ w). a(x,y * z,u) = a(x,y * (1 / z),u). a(x,y * (1 / z),u) = a(x,y * z,u). a(x,L(y,z,u) \ y,w) = a(x,y * L(y,z,u),w). a(x,y,(z \ u) * w) = a(x,y,((1 / z) \ u) * w). a(x,y,((1 / z) \ u) * w) = a(x,y,(z \ u) * w). x != a(y,z,(u \ 1) \ w) | a(y,z,u \ w) = x. a(x,y,z \ u) = a(x,y,(z \ (w * w)) \ u). a(x,y,(z \ (u * u)) \ w) = a(x,y,z \ w). a(x,y,z \ ((u * u) * w)) = a(x,y,(z \ (u * u)) \ w). a(x,y,(z \ (u * u)) \ w) = a(x,y,z \ ((u * u) * w)). a(x,y,(z \ (u * u)) \ w) != v5 | a(x,y,z \ w) = v5. a(x,y,z \ u) = a(x,y,z \ ((w * w) * u)). a(x,y,z \ ((u * u) * w)) = a(x,y,z \ w). a(x,y,z \ ((u \ 1) \ w)) = a(x,y,z \ (u \ w)). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). T((x * ((x \ 1) \ y)) * z,(1 / x) \ ((1 / x) \ 1)) = (x \ (x * y)) * (z / ((1 / x) * (1 / x))). (x * (y \ 1)) * ((T(y,y \ 1) \ 1) \ z) = (x * y) * (((y \ 1) \ 1) \ z). (x * (y \ 1)) * (T(y \ 1,y) \ z) = (x * y) * (((y \ 1) \ 1) \ z). (x * (y \ 1)) * ((1 / y) \ z) = (x * y) * (((y \ 1) \ 1) \ z). ((x \ 1) * (x \ 1)) * (y / (((x \ 1) * x) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. (x \ 1) * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ L(x,y,z)) \ 1). (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). a((x * ((y * z) \ (u * u))) \ w,v5,v6) = a((x * (((u * u) \ y) * z)) \ w,v5,v6). a((x * (((y * y) \ z) * u)) \ w,v5,v6) != v7 | a((x * (z * u)) \ w,v5,v6) = v7. x \ (x * (y * T(y \ 1,x))) = (x * (y * T(y \ 1,x))) * (x \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). x * T(x \ 1,y) = (y * (x * T(x \ 1,y))) * (y \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. (x * (y \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. x \ T(x,y) = (y * (x \ T(x,y))) * (y \ 1). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). (x * K(y,x)) \ K(y,x) = x \ 1. K(x,y) / (y \ 1) = y * K(x,y). (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. T(x * K(y,x),x \ 1) != z | (x \ 1) \ K(y,x) = z. x != (1 / y) * (y * z) | L(z,y,1 / y) = x. L(x * T(x \ 1,y),y,1 / y) = ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. x != (y \ 1) * (z * T(z \ ((y \ 1) \ u),w)) | (y \ T(y * (u / z),w)) * z = x. (x \ T(x * (y / x),z)) * x = K(x \ 1,x) * T(K(x \ 1,x) \ y,z). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | T(z,y) = x. T(x,y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x). T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). L(x * ((x \ 1) \ ((y * z) \ u)),x \ (1 / x),y * z) = (y * (z * (x \ (1 / x)))) \ u. x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). x != K(y \ (y / z),y) | z * T(z \ 1,y) = x. L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). (L(x,y,z) \ 1) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). L(x * T(x \ 1,L(x,y,z)),y,z) = (L(x,y,z) \ 1) * L(x,y,z). L(x * T(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. L(K(x \ 1,x),y,z) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. x * ((x \ 1) \ ((y * z) \ u)) = (y * (z * (x \ (1 / x)))) \ u. (x * (y * (z \ (1 / z)))) \ u = z * ((z \ 1) \ ((x * y) \ u)). (((x * x) \ y) * z) \ (((x * x) \ 1) * (y * (z * u))) = L(L(u,z,y),y * z,(x * x) \ 1). (x \ (1 / x)) * (y / ((z * (1 / x)) * 1)) = T(y,(x \ 1) \ ((x \ 1) \ 1)) / (z * x). T(x,(y \ 1) \ ((y \ 1) \ 1)) / (z * y) = (y \ (1 / y)) * (x / ((z * (1 / y)) * 1)). T(x,(y \ 1) \ ((y \ 1) \ 1)) / (z * y) = (y \ (1 / y)) * (x / (z * (1 / y))). (x \ 1) * (x \ (y / (z * (1 / x)))) = T(y,(x \ 1) \ ((x \ 1) \ 1)) / (z * x). T(x,(y \ 1) \ ((y \ 1) \ 1)) / (z * y) = (y \ 1) * (y \ (x / (z * (1 / y)))). T(x,1 \ (y * ((y \ 1) \ 1))) / (z * y) = (y \ 1) * (y \ (x / (z * (1 / y)))). T(x,1 \ ((1 / y) \ y)) / (z * y) = (y \ 1) * (y \ (x / (z * (1 / y)))). T(x,(1 / y) \ y) / (z * y) = (y \ 1) * (y \ (x / (z * (1 / y)))). (x \ 1) * (x \ (y / (z * (1 / x)))) = T(y,(1 / x) \ x) / (z * x). T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). L(R(x,T(1 / x,L(x,y,z)),x),y,z) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x. K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). (((x * x) \ y) * z) \ ((x * x) \ (y * (z * u))) = L(L(u,z,y),y * z,(x * x) \ 1). (((x * x) \ y) * z) \ (((x * x) \ y) * (z * u)) = L(L(u,z,y),y * z,(x * x) \ 1). L(x,y,(z * z) \ u) = L(L(x,y,u),u * y,(z * z) \ 1). L(L(x,y,z),z * y,(u * u) \ 1) = L(x,y,(u * u) \ z). L(x,y,z) = L(x,y,(u * u) \ z). L(x,y,(z * z) \ u) = L(x,y,u). L(x,y,(z * z) \ u) != w | L(x,y,u) = w. L(x,y,(z * z) \ (u \ 1)) != w | L(x,y,u * (z * z)) = w. L(x,y,z * (u * u)) = L(x,y,z \ 1). L(x,y,z) = L(x,y,(u * u) * z). L(x,y,(z * z) * u) = L(x,y,u). L(x,y,L(z,u,u)) = L(x,y,u * (u * z)). L(x,y,z * (z * u)) = L(x,y,L(u,z,z)). L(x,y,T(z,u * u)) = L(x,y,z * (u * u)). L(x,y,(1 / z) * u) = L(x,y,z * u). L(x,y,z \ u) = L(x,y,(z \ 1) \ u). L(x,y,(z \ 1) \ u) = L(x,y,z \ u). L(x,y,z * ((z \ 1) \ u)) = L(x,y,u). L(x,y,z \ u) = L(x,y,(1 / z) \ u). L(x,y,(1 / z) \ u) = L(x,y,z \ u). L(x,y,z * ((u * u) * w)) = L(x,y,T(z,u * u) * w). L(x,y,T(z,u * u) * w) = L(x,y,z * ((u * u) * w)). x != L(y,z,u \ 1) | L(y,z,u) = x. L(x,y,z) = L(x,y,z * (u * u)). L(x,y,z * (u * u)) = L(x,y,z). L(x,y,z) = L(x,y,z / (u * u)). L(x,y,z / (u * u)) = L(x,y,z). L(x,(y * y) \ z,u) = L(x,z,u). L(x,y,z * (u \ 1)) = L(x,y,z * u). L(x,y,z) = L(x,(u * u) * y,z). L(x,(y * y) * z,u) = L(x,z,u). L(x,L(y,z,z),u) = L(x,z * (z * y),u). L(x,y * (y * z),u) = L(x,L(z,y,y),u). L(x,1 / y,z) = L(x,y,z). L(x,(1 / y) * z,u) = L(x,y * z,u). L(x,y \ z,u) = L(x,(y \ 1) \ z,u). L(x,(y \ 1) \ z,u) = L(x,y \ z,u). L(x,((y * y) \ z) * u,w) = L(x,z * u,w). L(x,y \ (z * (y \ 1)),u) = L(x,T(z,y \ 1),u). L(x,(y \ (z * z)) \ u,w) = L(x,(y \ 1) \ u,w). (x * (1 / y)) \ x = L(y,y,x). L(x,x,y) = (y * (1 / x)) \ y. x != L(y,z,z) | z * ((z \ 1) * y) = x. x * ((x \ 1) * y) = L(y,1 / x,x). L(x,y,z) = L(x,y \ 1,z). L(x,y \ 1,z) = L(x,y,z). x * L(1 / y,y,x) = x / y. x != L(y,z,u) | L(y,1 / z,u) = x. L(x,1 / y,z) = L(x,y \ 1,z). x != L(y,z,u) | L(y,z,u \ 1) = x. L(x,y,z \ 1) = L(x,y \ 1,z). L(x,y \ 1,z) = L(x,y,z \ 1). x != L(y,z \ 1,u) | L(y,z,u) = x. L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y,z) = L(x,y \ 1,z \ 1). L(x,y \ 1,z \ 1) = L(x,y,z). L((x \ 1) * (x \ y),x \ 1,x) != z | 1 \ ((x \ 1) * ((x \ 1) * y)) = z. 1 \ ((x \ 1) * ((x \ 1) * y)) = L((x \ 1) * (x \ y),x,x). L((x \ 1) * (x \ y),x,x) = 1 \ ((x \ 1) * ((x \ 1) * y)). (x * (y \ 1)) \ (x * z) = L((y \ 1) \ z,y,x). L((x \ 1) \ y,x,z) = (z * (x \ 1)) \ (z * y). L(x,y,z) != u | L(x,y \ 1,z) = u. L(x,x \ 1,y) = (y * (1 / x)) \ y. L(x,x,y) != z | y \ (y / (x \ 1)) = z. x \ (x / (y \ 1)) = (x * (1 / y)) \ x. (x * (1 / y)) \ x = x \ (x / (y \ 1)). x \ (x / y) = L(1 / y,y,x). L(1 / x,x,y) = y \ (y / x). x * y != z / (u \ z) | x \ u = y. x \ y = L(1 / (y \ x),y \ x,x). L(1 / (x \ y),x \ y,y) = y \ x. x != L(y,z,u) | L(y,z,u * (w * w)) = x. L(x,y,z * (u * u)) = L(x,(w * w) * y,z). L(x,(y * y) * z,u) = L(x,z,u * (w * w)). L(x,y \ ((z * z) * (y \ 1)),u) != w | x = w. x / L(y,y \ 1,x) = x * (1 / y). L(x,1 / T(y,y \ z),u) = L(x,((y \ z) \ z) \ 1,u). L(x,((y \ z) \ z) \ 1,u) = L(x,1 / T(y,y \ z),u). L(x,y \ 1,T(z,z \ u)) != w | L(x,1 / y,(z \ u) \ u) = w. L(x,T(y,y \ 1),z) = L(x,y,z). L(((x \ 1) \ 1) \ y,x,x) != z | (x \ 1) * y = z. x \ y != L(z,T(u,u \ 1),w) | x * L(z,u,w) = y. (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). x = L(x,y,z * (1 / z)). L(x,y,z * (1 / z)) = x. L(x,y,z * u) = L(x,y,(z \ 1) * u). L(x,y,(z \ 1) * u) = L(x,y,z * u). L(x,y,K(z,1 / z)) = x. L(x,y,K(z,z \ 1)) = x. L(x,y,K(z \ 1,z)) = x. K(x,1 / x) * (y * z) = (K(x,1 / x) * y) * z. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). x \ y != L(z,u,K(w,1 / w)) | x * z = y. K(x,1 / x) * (1 / y) = K(x,1 / x) / y. K(x,x \ 1) * (y * z) = (K(x,x \ 1) * y) * z. (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. x \ y != L(z,u,K(w,w \ 1)) | x * z = y. K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). T(x,K(x \ 1,x) * y) = T(x,y). K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). x * K(y \ 1,y) = T(K(y \ 1,y) * x,K(y \ 1,y)). T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. x \ y != L(z,u,K(w \ 1,w)) | x * z = y. K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. L(x,y,K(z \ 1,z)) != u | x = u. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,(z * (u * u)) * w). L(x,y,z * u) = L(x,y,z * (1 / u)). L(x,y,z * (1 / u)) = L(x,y,z * u). L(x,y,z * ((u / (w * w)) \ 1)) = L(x,y,(z * u) / (w * w)). L(x,y,L(z,u,w) \ z) = L(x,y,z * L(z,u,w)). x = L(x,y * (1 / y),z). L(x,y * (1 / y),z) = x. L(x,(1 / (y * (z * z))) * u,w) = L(x,y * ((z * z) * u),w). L(x,y * z,u) = L(x,(y \ 1) * z,u). L(x,(y \ 1) * z,u) = L(x,y * z,u). L(x,y * (1 / y),z) != u | x = u. L(x,K(y,y \ 1),z) = x. L(x,K(y \ 1,y),z) = x. x * (K(y,y \ 1) * z) = (x * K(y,y \ 1)) * z. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). (x * K(y,y \ 1)) * z != u | x * (K(y,y \ 1) * z) = u. x * (K(y \ 1,y) * z) = (x * K(y \ 1,y)) * z. (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. (x * K(y \ 1,y)) * z != u | x * (K(y \ 1,y) * z) = u. L(x,(y \ (z * z)) \ u,w) = L(x,((z * z) \ y) \ u,w). L(x,((y * y) \ z) \ u,w) = L(x,(z \ (y * y)) \ u,w). (x * y) \ x = x \ (x / ((y \ 1) \ 1)). x \ (x / ((y \ 1) \ 1)) = (x * y) \ x. x != L(y,z,(u \ 1) * w) | L(y,z,u * w) = x. L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). x != L(y,z,u) | L(y,z \ 1,u) = x. L(x,y \ 1,z * u) = L(x,y,z * (1 / u)). x \ y != (z * (z \ u)) \ w | x * (u \ w) = y. x * (y \ x) = x / (((x \ y) \ 1) \ 1). x / (((x \ y) \ 1) \ 1) = x * (y \ x). x \ (x / (1 / y)) = (x * (y \ 1)) \ x. (x * (y \ 1)) \ x = x \ (x / (1 / y)). ((x * y) * (y \ 1)) \ (x * y) = (x * y) \ (x * (y * y)). L(x,y,z) != u | L(x,y,z \ 1) = u. L(x,y,z \ 1) != u | L(x,y,z) = u. L(x,y,1 / z) != u | L(x,y,z \ 1) = u. L(x,y,z) != u | L(x,y,1 / z) = u. L(x,y,z * (u * u)) != w | L(x,y,z) = w. L(x,y \ 1,z) != u | L(x,y,z) = u. L(x,(y \ 1) \ 1,z) != u | L(x,y,z) = u. L(x,1 / y,z) != u | L(x,y,z) = u. L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. L(x,y,(z * u) * u) != w | L(x,y,R(z,u,u)) = w. x != L(y,z,u * (w * w)) | L(y,z,u) = x. L(x,y,z) = L(x,y,T(z,u * u)). L(x,y,T(z,u * u)) = L(x,y,z). L(x,((y * y) \ z) * u,w * (v5 * v5)) != v6 | L(x,z * u,w) = v6. L(x,(y * y) * z,u) != w | L(x,z,u) = w. L(x,y * (y * z),u) != w | L(x,L(z,y,y),u) = w. L(x,(y \ 1) \ z,u) != w | L(x,y \ z,u) = w. L((x \ 1) \ 1,x \ 1,y * x) != z | R(y,x,x \ 1) \ (y * x) = z. R(x,y,y \ 1) \ (x * y) = L((y \ 1) \ 1,y,x * (1 / y)). L((x \ 1) \ 1,x,y * (1 / x)) = R(y,x,x \ 1) \ (y * x). L(x,y,z * (1 / u)) != w | L(x,y,z * u) = w. K(x \ (x / L(y,z,u)),x) != w | L(y * T(y \ 1,x),z,u) = w. L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). x = L(x,T(y * y,z \ 1),u). L(x,T(y * y,z \ 1),u) = x. L(x,T(y * y,z),u) = x. T(x * x,y) \ (z \ u) = (z * T(x * x,y)) \ u. (x * T(y * y,z)) \ u = T(y * y,z) \ (x \ u). x != L(y,(z \ 1) \ u,w) | L(y,z \ u,w) = x. L(x,y \ z,u) = L(x,(y \ (w * w)) \ z,u). L(x,(y \ (z * z)) \ u,w) = L(x,y \ u,w). L(x,(y \ (z * z)) \ u,w) != v5 | L(x,y \ u,w) = v5. R(K(x,x \ 1),y,z) = K(x,x \ 1). x * T(K(y,y \ 1) * z,x) = K(y,y \ 1) * (z * x). T(x,x \ 1) * y = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. ((x \ 1) \ 1) * y = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. K(x,x \ 1) * (y * x) = T(x,x \ 1) * T(y,x). K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. x * (y * z) != T(y,y \ 1) * z | K((z / (y * z)) \ 1,z / (y * z)) = x. K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. K(x,x \ 1) * y = ((x \ 1) \ 1) * (x \ y). ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. K(x,x \ 1) * (x * y) != z | T(x,x \ 1) * y = z. K(x,x \ 1) * y = x * ((1 / (1 / x)) \ y). x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). x \ y = K(x,x \ 1) * (T(x,x \ 1) \ y). K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. (x \ 1) \ y = K(x,x \ 1) * ((1 / x) \ y). K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. x \ y = K(x,x \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. x * y != K(x,x \ 1) * z | K(x,x \ 1) * (x \ z) = y. K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. (x \ 1) * K(x,x \ 1) = 1 / x. (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. K(x,x \ 1) * (x \ 1) = 1 / x. R(1 / x,y,z) / (x \ 1) = x * R(x \ K(x,x \ 1),y,z). x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). (1 / x) * y = K(x,x \ 1) * ((x \ 1) * y). K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. K(x,x \ 1) * (x \ y) = ((x \ 1) \ 1) \ y. x != (1 / y) * R((1 / y) \ z,u,w) | R(z * y,u,w) / y = x. R(x * y,z,u) / y = (y \ 1) * (K(y,y \ 1) * R((1 / y) \ x,z,u)). (x \ 1) * (K(x,x \ 1) * R((1 / x) \ y,z,u)) = R(y * x,z,u) / x. (x \ y) * z != (y / x) * u | (y / x) * ((x \ y) \ u) = z. (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. x \ y != (z \ 1) * (K(z,z \ 1) * u) | x * ((1 / z) * u) = y. x * ((1 / x) * y) = L(K(x,x \ 1) * y,x,x). L(K(x,x \ 1) * y,x,x) = x * ((1 / x) * y). ((1 / x) * y) * z = K(x,x \ 1) * (((x \ 1) * y) * z). K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. x * ((1 / x) * y) = ((x \ 1) \ 1) * ((x \ 1) * y). ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). x * y != K(z,z \ 1) * (z \ u) | x \ (((z \ 1) \ 1) \ u) = y. ((x \ 1) \ 1) \ (((x \ 1) \ 1) \ y) = x \ (x \ y). K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. K(x,x \ 1) * ((x \ 1) * y) != z | (1 / x) * y = z. x \ T(K(x,x \ 1) * y,z) = (x \ 1) * T(x \ ((x \ 1) \ y),z). (x \ 1) * T(x \ ((x \ 1) \ y),z) = x \ T(K(x,x \ 1) * y,z). K(x \ 1,x) * (x \ y) != z | x \ (K(x \ 1,x) * y) = z. x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) != z | y * T(y \ (x \ y),x) = z. x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. x \ y != K(z \ 1,z) * (z \ u) | x * (((z \ 1) \ 1) \ u) = y. x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. x \ y != ((x \ 1) \ 1) \ (K(x,x \ 1) * z) | z = y. x = K(y \ 1,y) * (K(y,y \ 1) * x). K(x \ 1,x) * (K(x,x \ 1) * y) = y. x \ y != ((x \ 1) \ 1) \ ((x \ 1) \ z) | (1 / x) \ z = y. (1 / x) \ y = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. ((x \ 1) \ 1) \ y != x \ z | K(x,x \ 1) * z = y. K(x,x \ 1) * (K(x \ 1,x) * y) = y. K(x \ 1,x) * y = K(x,x \ 1) \ y. K(x,x \ 1) \ y = K(x \ 1,x) * y. K(x \ 1,x) \ y = K(x,x \ 1) * y. x != K(y \ 1,y) * z | K(y,y \ 1) * x = z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. x != K(y,y \ 1) * z | K(y \ 1,y) * x = z. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. a((x * y) \ 1,x,y) = K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y). K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)). (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). x \ (K(x \ 1,x) * y) != z | ((x \ 1) \ 1) \ y = z. x \ T(K(x \ 1,x) * y,x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. T(x,(x \ 1) * y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. R(x * ((1 / x) * y),z,u) = L(R(K(x,x \ 1) * y,z,u),x,x). L(R(K(x,x \ 1) * y,z,u),x,x) = R(x * ((1 / x) * y),z,u). (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (K(x \ 1,x) * y) * z != K(x \ 1,x) * u | y * z = u. K(x \ 1,x) * y != (K(x \ 1,x) * z) * u | z * u = y. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). R(x \ 1,x,y) = K(x \ 1,x) * (y / (x * y)). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). x != R(y \ 1,y,z) | ((z / (y * z)) \ 1) \ 1 = x. ((x / (y * x)) \ 1) \ 1 = K(y \ 1,y) * (x / (y * x)). K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x * (y / (z * y)) != R(z \ 1,z,y) | K(y / (z * y),z) = x. K(x / (y * x),y) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). (x * K(y,y \ 1)) * y = x * T(y,y \ 1). (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). x * y != (z / u) * u | z / y = x. x / y = (x / T(y,y \ 1)) * K(y,y \ 1). (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. x * y != z * T(y,u) | (z / y) * T(y,u) = x. (x / y) * T(y,y \ 1) = x * K(y,y \ 1). x * y != (z * y) * T(y,u) | z * T(y,u) = x. x * T(y,y \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). x * y != (z * (y \ 1)) * ((y \ 1) \ 1) | z * (1 / y) = x. x * (1 / y) = (x * (y \ 1)) * K(y,y \ 1). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). x / (y \ 1) = (x / (1 / y)) * K(y,y \ 1). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). x * y != (z / u) * T(u,u \ 1) | (z * K(u,u \ 1)) / y = x. (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). x != y * T(z,z \ u) | y * ((z \ u) \ u) = x. x * ((y \ 1) \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). x != R(y,z,z \ 1) / (z \ 1) | y * z = x. x * y = (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1). (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). x / ((y \ 1) \ 1) = (x / y) * K(y \ 1,y). (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). x * ((y \ 1) \ 1) != (z * K(y,y \ 1)) * y | z = x. x = (x * K(y,y \ 1)) * K(y \ 1,y). (x * K(y,y \ 1)) * K(y \ 1,y) = x. x * y != z * ((y \ 1) \ 1) | z * K(y,y \ 1) = x. (x * K(y \ 1,y)) * K(y,y \ 1) = x. x != y * K(z \ 1,z) | x * K(z,z \ 1) = y. x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). (x / y) * K(y \ 1,y) = x / T(y,y \ 1). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x != y * K(z,z \ 1) | x * K(z \ 1,z) = y. x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. (x * (y \ 1)) * y = R(x * K(y \ 1,y),y \ 1,y). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. x * y != (z / u) * K(u \ 1,u) | x \ (z / ((u \ 1) \ 1)) = y. x \ (x / ((y \ 1) \ 1)) = T(x \ (x / y),y). T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). (x / T(y,y \ 1)) * y = x * K(y \ 1,y). x * y != z * K(y \ 1,y) | x * T(y,y \ 1) = z. x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). K(x \ 1,x) * (y \ z) = (y * K(x,x \ 1)) \ z. (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. (((x \ 1) \ 1) \ 1) * T((1 / ((x \ 1) \ 1)) \ (((x \ 1) \ 1) \ y),(x \ 1) \ 1) = (x \ (x \ y)) * ((x \ 1) \ 1). x * y != K(z,z \ 1) * u | (K(z \ 1,z) * x) * y = u. K(x,x \ 1) * y != z * u | (K(x \ 1,x) * z) * u = y. x \ K(y \ 1,y) = (K(y,y \ 1) * x) \ 1. (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. (x * K(y,y \ 1)) \ z = K(y,y \ 1) * (x \ z). (x * (1 / y)) \ z = K(y,y \ 1) * ((x * (y \ 1)) \ z). K(x,x \ 1) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). (x * K(y,y \ 1)) / y != z | (x / y) * K(y,y \ 1) = z. (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). x != L(y,(z \ (u * u)) \ w,v5) | L(y,z \ w,v5) = x. L(x,y \ z,u) = L(x,((w * w) \ y) \ z,u). L(x,((y * y) \ z) \ u,w) = L(x,z \ u,w). L(x,y \ z,u) = L(x,((w * w) * y) \ z,u). L(x,((y * y) * z) \ u,w) = L(x,z \ u,w). L(x,(y \ z) \ u,w) = L(x,((y \ 1) \ z) \ u,w). L(x,((y \ 1) \ z) \ u,w) = L(x,(y \ z) \ u,w). L(x,y \ ((z * z) * u),w) = L(x,y \ u,w). L(x,y \ ((z * z) \ u),w) = L(x,y \ u,w). L(x,y \ z,u) = L(x,y \ (1 / z),u). L(x,y \ (1 / z),u) = L(x,y \ z,u). L(x,y \ (z \ u),w) = L(x,y \ ((1 / z) \ u),w). L(x,y \ ((1 / z) \ u),w) = L(x,y \ (z \ u),w). L(x,y \ z,u) = L(x,y \ (z \ 1),u). L(x,y \ (z \ 1),u) = L(x,y \ z,u). (x \ 1) \ (y * z) = L((y \ (x \ 1)) \ z,y \ x,y). L((x \ (y \ 1)) \ z,x \ y,x) = (y \ 1) \ (x * z). L(x,(y * z) \ y,u) = L(x,((y \ 1) * z) \ y,u). L(x,((y \ 1) * z) \ y,u) = L(x,(y * z) \ y,u). L(((x * y) \ x) \ z,((x \ 1) * y) \ x,(x \ 1) * y) = (x \ 1) \ (((x \ 1) * y) * z). R(x,y,y) \ (x * y) = (x * y) \ (x * (y * y)). (x * y) \ (x * (y * y)) = R(x,y,y) \ (x * y). L(x,x,y) = R(y,x,x) \ (y * x). R(x,y,y) \ (x * y) = L(y,y,x). x * y != (y \ 1) \ 1 | K(y,y \ 1) = x. K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). K((x / (y * x)) \ 1,x / (y * x)) != z | K(y,y \ 1) = z. K(x,x \ 1) = K(x,y / (x * y)). K(x,y / (x * y)) = K(x,x \ 1). K(x / y,y / x) = K(x / y,(x / y) \ 1). K(x / y,(x / y) \ 1) = K(x / y,y / x). x != K(y / z,z / y) | K((z / y) \ 1,z / y) = x. K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). (1 / x) * ((1 / x) * y) = 1 \ ((x \ 1) * ((x \ 1) * y)). 1 \ ((x \ 1) * ((x \ 1) * y)) = (1 / x) * ((1 / x) * y). (x \ 1) * ((x \ 1) * y) = (1 / x) * ((1 / x) * y). (1 / x) * ((1 / x) * y) = (x \ 1) * ((x \ 1) * y). x \ y != (z \ 1) * ((z \ 1) * u) | x * ((1 / z) * ((1 / z) * u)) = y. x * ((1 / x) * ((1 / x) * y)) = L((x \ 1) * y,x,x). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. L(T(x,y) / x,x,y) = K(1 / (1 / x),y). L(T(x,y) / x,x,y) != z | (x * K(x,y)) / x = z. (x * K(x,y)) / x = K(1 / (1 / x),y). K(1 / (1 / x),y) = (x * K(x,y)) / x. T(K(1 / (1 / x),y),x) = K(x,y). T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). T(K(x,y),T(x,x \ 1)) != z | T(K(x,y),x) = z. T(K(x,y),x) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = T(K(x,y),x). K((x \ 1) \ 1,y) = T(K(x,y),x). T(K(x,y),x) = K((x \ 1) \ 1,y). K(x \ 1,x) * y != (K(x \ 1,x) / z) * u | (1 / z) * u = y. K(x \ 1,x) * y != (((x \ 1) \ 1) \ z) * u | (x \ z) * u = y. L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,z * ((u * u) * w)). L(x,y,z * ((u * u) * (w \ 1))) = L(x,y,(z * w) / (u * u)). L(x,((y * y) \ (1 / z)) * u,w) = L(x,z * ((y * y) * u),w). L((x \ 1) \ 1,x,y * (1 / x)) = R(y,x,x) \ (y * x). L((x \ 1) \ 1,x,y * x) = R(y,x,x) \ (y * x). x * R(1 / x,y,z) = R(1 / x,y,z) / (x \ 1). R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). (x / y) / ((y / x) \ 1) = (y / x) * R(1 / (y / x),y / x,x). (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). L(x,y,z * ((u * u) * (w \ 1))) != v5 | L(x,y,z * ((u * u) * w)) = v5. L(x,y,z * ((u * u) * w)) = L(x,y,(z * w) / (u * u)). L(x,y,(z * u) / (w * w)) = L(x,y,z * ((w * w) * u)). L(x,y,z / (u * u)) != w | L(x,y,z) = w. L(x,y,z * u) = L(x,y,z * ((w * w) * u)). L(x,y,z * ((u * u) * w)) = L(x,y,z * w). L(x,y,z * ((u * u) * w)) != v5 | L(x,y,T(z,u * u) * w) = v5. L(x,y,T(z,u * u) * w) = L(x,y,z * w). L(x,y,z * u) = L(x,y,z * ((w * w) \ u)). L(x,y,z * ((u * u) \ w)) = L(x,y,z * w). L(x,y,z * ((u \ 1) \ w)) = L(x,y,z * (u \ w)). L(x,y,(z * L(z,u,w)) * v5) = L(x,y,(z \ L(z,u,w)) * v5). L(x,y,(z \ L(z,u,w)) * v5) = L(x,y,(z * L(z,u,w)) * v5). L(x,y,(z * (u \ 1)) * w) = L(x,y,(z * u) * w). L(x,y,(L(z,u,w) \ z) * v5) = L(x,y,(z * L(z,u,w)) * v5). L(x,((y * y) \ z) * u,w) != v5 | L(x,z * u,w) = v5. L(x,(1 / y) * z,u) = L(x,y * ((w * w) * z),u). L(x,y * ((z * z) * u),w) = L(x,(1 / y) * u,w). x != L(y,(1 / z) * u,w) | L(y,z * u,w) = x. L(x,y * z,u) = L(x,y * ((w * w) * z),u). L(x,y * ((z * z) * u),w) = L(x,y * u,w). L(x,y,z) = L(x,y * ((u * u) \ 1),z). L(x,y * ((z * z) \ 1),u) = L(x,y,u). L(x,y * z,u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * z,u). L(x,y * (z * (z * u)),w) = L(x,y * L(u,z,z),w). L(x,y * ((z \ 1) \ u),w) = L(x,y * (z \ u),w). L(x,y * (z \ u),w) = L(x,y * ((1 / z) \ u),w). L(x,y * ((1 / z) \ u),w) = L(x,y * (z \ u),w). L(x,y / (z * z),u) = L(x,y,u). L(x,y,z) = L(x,y * (u * u),z). L(x,y * (z * z),u) = L(x,y,u). L(x,y * (z / (u * u)),w) = L(x,y * z,w). L(x,y * (z \ 1),u) = L(x,y * z,u). (x * x) \ ((y * z) \ (y * ((z * x) * x))) = L(a(z,x,x),z,y). (x * y) * ((z * z) * L(u,y,x)) = x * (y * ((z * z) * u)). x != L(y,z * u,w) | L(y,z * (1 / u),w) = x. L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,L(y,z,u) \ y,w) = L(x,y * L(y,z,u),w). L((x * x) * y,z,u) = (x * x) * L(y,z,u). x * y != (z * z) * L(u,w,v5) | x \ L((z * z) * u,w,v5) = y. (x * x) \ L((x * x) * y,z,u) = L(y,z,u). L(x,y,z) = (u * u) * L((u * u) \ x,y,z). (x * x) * L((x * x) \ y,z,u) = L(y,z,u). L((x * x) * y,z,u) * w = (x * x) * (L(y,z,u) * w). L((x * x) * y,z,u) \ w = L(y,z,u) \ ((x * x) \ w). (x \ 1) * L((y * y) * z,u,w) = (x \ (y * y)) * L(z,u,w). a(x,y,L((z * z) * u,w,v5)) = a(x,y,L(u,w,v5)). (x * x) \ L(x,y,z) = L(1 / x,y,z). (x * x) * L(y,z,u) != w | w = L((x * x) * y,z,u). (x * x) * L(y,z,u) != w | L((x * x) * y,z,u) = w. (x * x) \ L((x \ 1) \ y,z,u) = L(x \ y,z,u). x \ y != (z * z) \ L(z,u,w) | x * L(1 / z,u,w) = y. x * L(1 / x,y,z) = (x \ 1) * L(x,y,z). (x \ 1) * L(x,y,z) = x * L(1 / x,y,z). x * y != (z * z) \ L(z,u,w) | x \ L(1 / z,u,w) = y. (1 / x) \ L(1 / x,y,z) = x \ L(x,y,z). L(1 / x,y,z) \ 1 = L(x,y,z) \ (x * x). L(1 / x,y,z) \ u = L(x,y,z) \ ((x * x) * u). L(x,y,z) \ ((x * x) * u) = L(1 / x,y,z) \ u. a(L(1 / x,y,z),u,w) = a(L(x,y,z),u,w). L(x,y,L(1 / z,u,w)) = L(x,y,L(z,u,w)). L(x,L(1 / y,z,u),w) = L(x,L(y,z,u),w). 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 * y) * L((x * y) \ (z * y),u,w) != v5 | (x * L(x \ z,u,w)) * y = v5. (x * L(x \ y,z,u)) * x = L(y * x,z,u). x * y != (z * z) * L((z * z) \ u,w,v5) | L(u,w,v5) / y = x. 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 * y != (z * z) * L((z * z) \ u,w,v5) | x \ L(u,w,v5) = y. x \ L(y,z,u) = x * L(x \ (x \ y),z,u). x * L(x \ (x \ y),z,u) = x \ L(y,z,u). x \ L(x,y,z) = x * L(x \ 1,y,z). x * L(x \ 1,y,z) = x \ L(x,y,z). x * (y * L(y \ (x \ 1),z,u)) = (x * y) \ L(x * y,z,u). x \ (x \ L(x,y,z)) = L(x \ 1,y,z). (x \ y) * L((x \ y) \ 1,z,u) != w | x \ (y * L(y \ x,z,u)) = w. x \ (y * L(y \ x,z,u)) = (x \ y) \ L(x \ y,z,u). (x \ y) \ L(x \ y,z,u) = x \ (y * L(y \ x,z,u)). (x \ 1) * L((x \ 1) \ 1,y,z) != u | x \ L(x,y,z) = u. x \ L(x,y,z) = (x \ 1) \ L(x \ 1,y,z). (x \ 1) \ L(x \ 1,y,z) = x \ L(x,y,z). x \ y != (z \ u) * L((z \ u) \ 1,w,v5) | x * (z \ (u * L(u \ z,w,v5))) = y. (x \ y) * (x \ (y * L(y \ x,z,u))) = L(x \ y,z,u). x \ y != z * L(z \ 1,u,w) | x * (z \ L(z,u,w)) = y. L(x,y,z) * (x \ L(x,u,w)) = x * (L(x,y,z) * L(x \ 1,u,w)). x * (L(x,y,z) * L(x \ 1,u,w)) = L(x,y,z) * (x \ L(x,u,w)). x * y != z * L(z \ 1,u,w) | (z \ L(z,u,w)) / y = x. (x \ L(x,y,z)) / x = L(1 / x,y,z). (x \ L(x,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (x \ L(x,y,z)) * (x \ 1) = L(x \ 1,y,z). T(x,x \ L(x,y,z)) = x. x * (y * L(y \ (x \ y),z,u)) = (x \ L(x,z,u)) * y. (x \ L(x,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). x * ((x * L(x \ 1,y,z)) * u) = (x \ L(x,y,z)) * (x * u). (x / (y \ 1)) * L(L(L(y,y,x) \ 1,L(y,y,x),x),z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). L(1 / x,y,z) * (x \ L(x,u,w)) = x * (L(x \ 1,y,z) * L(x \ 1,u,w)). x * (L(x \ 1,y,z) * L(x \ 1,u,w)) = L(1 / x,y,z) * (x \ L(x,u,w)). T(x \ L(x,y,z),x) = x \ L(x,y,z). x \ y != T(z,z \ L(z,u,w)) | x * z = y. (x \ L(x,y,z)) * x = L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) * T(x,u) = T(x,u) * (x \ L(x,y,z)). T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). x * (y \ 1) != L(y \ 1,z,u) | y * L(y \ 1,z,u) = x. x * L(x \ 1,y,z) = (x \ 1) \ L(x \ 1,y,z). (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). L(x,y,z) * L(u,x,x \ L(x,y,z)) = (x \ L(x,y,z)) * (x * u). (1 / x) * L(x,y,z) = x \ L(x,y,z). (x \ L(x,y,z)) * x != u | u = L(x,y,z). (x \ L(x,y,z)) * x != u | L(x,y,z) = u. x * L(x \ 1,y,z) != u | u = x \ L(x,y,z). x * L(x \ 1,y,z) != u | x \ L(x,y,z) = u. x \ (y * L(y \ (x * ((x \ y) \ L(x \ y,z,u))),w,v5)) = (x \ y) * L(L((x \ y) \ 1,z,u),w,v5). x != y \ L(y,z,u) | y * L(y \ 1,z,u) = x. x * L(x \ 1,y,z) = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = x * L(x \ 1,y,z). x \ y != (z / (u \ z)) * w | x * (u * w) = y. (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). x \ y != (1 / z) * L(z,u,w) | x * (z \ L(z,u,w)) = y. (x * x) * (x \ L(x,y,z)) = x * L(x,y,z). (x \ L(x,y,z)) * L(u,L(x,y,z),x) = (1 / x) * (L(x,y,z) * u). a(x \ L(x,y,z),u,w) = a(x * L(x,y,z),u,w). a(x \ L(x,y,z),u,w) != v5 | a(x * L(x,y,z),u,w) = v5. a(x,y \ L(y,z,u),w) = a(x,y * L(y,z,u),w). a(x,y,z \ L(z,u,w)) = a(x,y,z * L(z,u,w)). L(x,y,z \ L(z,u,w)) = L(x,y,z * L(z,u,w)). L(x,y \ L(y,z,u),w) = L(x,y * L(y,z,u),w). K(x \ 1,x) * (x \ L(x,y,z)) != u | (x \ 1) * L(x,y,z) = u. x != L(y,z,u) \ (y * w) | y * (L(y,z,u) \ w) = x. x * (L(x,y,z) \ x) = L(1 / x,y,z) \ 1. L(1 / x,y,z) \ 1 = x * (L(x,y,z) \ x). x * y != L(z,u,w) \ (z * z) | x \ (L(1 / z,u,w) \ 1) = y. x \ (L(1 / x,y,z) \ 1) = L(x,y,z) \ x. a(L(x,y,z),u,w) = a(L(x \ 1,y,z),u,w). a(L(x \ 1,y,z),u,w) = a(L(x,y,z),u,w). L(x,y,L(z,u,w)) = L(x,y,L(z \ 1,u,w)). L(x,y,L(z \ 1,u,w)) = L(x,y,L(z,u,w)). L(x,L(y,z,u),w) = L(x,L(y \ 1,z,u),w). L(x,L(y \ 1,z,u),w) = L(x,L(y,z,u),w). L(x,L(y \ 1,z,u),w) = L(x,L(L(y,y,y),z,u),w). L(x,L(L(y,y,y),z,u),w) = L(x,L(y \ 1,z,u),w). L(x * (y * y),z,u) * w = L(x,z,u) * ((y * y) * w). L(x * (y * y),z,u) \ w = (y * y) \ (L(x,z,u) \ w). L(x * (y * y),z,u) \ w != v5 | (y * y) \ (L(x,z,u) \ w) = v5. (x * L(y * (z * z),u,w)) * v5 = (x * L(y,u,w)) * ((z * z) * v5). L(x * y,z,u) != w * y | y * L(y \ x,z,u) = w. x * (x * L(y,z,u)) = L(x * (x * y),z,u). L(x * (x * y),z,u) = x * (x * L(y,z,u)). L(x \ 1,y,z) = L(x,y,z) / (x * x). L(x,y,z) / (x * x) = L(x \ 1,y,z). L(x \ 1,y,z) \ u = (x * x) * (L(x,y,z) \ u). (x * x) * (L(x,y,z) \ u) = L(x \ 1,y,z) \ u. L(x \ 1,y,z) * u = L(x,y,z) * ((x * x) \ u). L(x,y,z) * ((x * x) \ u) = L(x \ 1,y,z) * u. a(x,L(y \ 1,z,u),w) = a(x,L(y,z,u),w). x \ (x \ L(y,z,u)) = L(x \ (x \ y),z,u). L(x \ (x \ y),z,u) = x \ (x \ L(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,z,u). L(x,y,z) * L(L(x,y,z) \ (x \ 1),u,w) = L(x,y,z) \ L(x \ L(x,y,z),u,w). x * L(x \ (L(x,y,z) \ 1),u,w) = x \ L(L(x,y,z) \ x,u,w). x * L(L(x \ 1,y,z),u,w) = x \ L(L(x,y,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. (x \ 1) \ L(x,y,z) = x * L(x,y,z). (x * L(x,y,z)) * u = (x * x) * ((x \ L(x,y,z)) * u). (x * x) * ((x \ L(x,y,z)) * u) = (x * L(x,y,z)) * u. R(x,y,z * L(z,u,w)) = R(x,y,z \ L(z,u,w)). R(x,y,z \ L(z,u,w)) = R(x,y,z * L(z,u,w)). L(x,y,z * (u * L(u,w,v5))) = L(x,y,z * (u \ L(u,w,v5))). L(x,y,z * (u \ L(u,w,v5))) = L(x,y,z * (u * L(u,w,v5))). L(x,y * (z * L(z,u,w)),v5) = L(x,y * (z \ L(z,u,w)),v5). L(x,y * (z \ L(z,u,w)),v5) = L(x,y * (z * L(z,u,w)),v5). x \ y != z * y | R(1 / z,z,y) = x. R(1 / x,x,L(x,y,z)) = x \ 1. L((x * L(x,y,z)) \ u,(x \ 1) \ L(x,y,z),x \ 1) = L(x,y,z) \ ((x \ 1) * u). a(((x * L(x,y,z)) * u) * w,v5,v6) = a(((x \ L(x,y,z)) * u) * w,v5,v6). a(((x \ L(x,y,z)) * u) * w,v5,v6) = a(((x * L(x,y,z)) * u) * w,v5,v6). (x \ 1) * L((x \ 1) \ (x * L(x,y,z)),u,w) = (x \ 1) \ L(L(x,y,z),u,w). (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. x * (L(x,y,z) \ x) != u | u = L(1 / x,y,z) \ 1. x * (L(x,y,z) \ x) != u | L(1 / x,y,z) \ 1 = u. L(x,y,R(z,u,u) \ (z * u)) = L(x,y,L(u \ 1,u,z * u)). L(x,y,L(z \ 1,z,u * z)) = L(x,y,R(u,z,z) \ (u * z)). (1 / L(x \ 1,y,z)) * u = L(L(x \ 1,y,z) \ u,L(x,y,z),L(x \ 1,y,z)). L(L(x \ 1,y,z) \ u,L(x,y,z),L(x \ 1,y,z)) = (1 / L(x \ 1,y,z)) * u. (x * L(y \ 1,z,u)) \ w = L(L(y \ 1,z,u) \ (x \ w),L(y,z,u),x). L(L(x \ 1,y,z) \ (u \ w),L(x,y,z),u) = (u * L(x \ 1,y,z)) \ w. L(x * y,z,u) = x * (x * L(x \ y,z,u)). x * (x * L(x \ y,z,u)) = L(x * y,z,u). L((x * L(y,z,u)) \ w,x * L(y,z,u),x) = L(x * (x * y),z,u) \ (x * w). x * L(L(x \ (x \ y),z,u),w,v5) = x \ L(L(y,z,u),w,v5). x \ y != z * L(z \ (u * z),w,v5) | x * (L(u,w,v5) * z) = y. 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,z,u) != w | (x \ 1) * L((x \ 1) \ y,z,u) = w. (x \ 1) * L((x \ 1) \ y,z,u) = x * L(x \ y,z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). L(x,y,z) != (u \ u) * L(w,y,z) | w = x. x = (L(x,y,z) \ x) * L(x,y,z). (L(x,y,z) \ x) * L(x,y,z) = x. L((x \ y) * x,z,u) != w * x | x \ L(y,z,u) = w. L(x,y,z) = (u \ L(u * (x / u),y,z)) * u. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). (L(x,y,z) \ x) \ x != u | L(x,y,z) = u. x / (1 / L(x,y,z)) = (L(x,y,z) \ x) * (L(x,y,z) * L(x,y,z)). (L(x,y,z) \ x) * (L(x,y,z) * L(x,y,z)) = x / (1 / L(x,y,z)). a(x,x,y) * L(y,x,x) = y. a(x,x,y) \ y = L(y,x,x). x \ y != L(z,z,y) | y * (1 / z) = x. x * (1 / x) = a(x,x,x). a(x,x,x) = x * (1 / x). K(x,x \ 1) = a(x,x,x). x * y != K(z,z \ 1) | x \ a(z,z,z) = y. (x \ 1) \ a(x,x,x) = x. L(x,x,x) = x * a(x,x,x). x * a(x,x,x) = L(x,x,x). (x \ 1) \ L((x \ 1) * a(x,x,x),y,z) = (x \ 1) * L(x,y,z). x \ L(x,x,x) = a(x,x,x). x * K(x * x,x) = L(x,x,x). (1 / L(x,y,z)) * x = L(x,y,z) \ x. x * y != z / L(z,u,w) | (L(z,u,w) \ z) / y = x. (L(x,y,z) \ x) / x = 1 / L(x,y,z). K(L(x,y,z) \ 1,L(x,y,z)) * (L(x,y,z) \ x) = (L(x,y,z) \ 1) * x. (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. (x \ 1) * (L(x,y,z) \ x) != u | u = L(x,y,z) \ 1. (x \ 1) * (L(x,y,z) \ x) != u | L(x,y,z) \ 1 = u. L(x * y,z,u) != x * w | x * L(x \ y,z,u) = w. x \ L(x * y,z,u) != w | x * L(x \ y,z,u) = w. L(x,y,L(z * u,w,v5)) = L(x,y,L(L(z \ u,w,v5),z,z)). L(x,y,L(L(z \ u,w,v5),z,z)) = L(x,y,L(z * u,w,v5)). L(x * (y * x),z,u) != x * w | L(y,z,u) * x = w. L(x * y,z,u) / y = y \ L(y * x,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(x * y,z,u)) * x != w | w = L(y * x,z,u). (x \ L(x * y,z,u)) * x != w | L(y * x,z,u) = w. x * (y * L(y \ (x \ 1),z,u)) != w | (x * y) \ L(x * y,z,u) = w. a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,L(z \ L(z,u,w),v5,v6)). a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,L(z * L(z,u,w),v5,v6)). x * y != (z * z) \ L((z \ 1) \ u,w,v5) | x \ L(z \ u,w,v5) = y. (x \ y) \ L(x \ z,u,w) = ((x \ 1) \ y) \ L((x \ 1) \ z,u,w). ((x \ 1) \ y) \ L((x \ 1) \ z,u,w) = (x \ y) \ L(x \ z,u,w). L(x,y,L(z \ u,w,v5)) = L(x,y,L((z \ 1) \ u,w,v5)). L(x,y,L((z \ 1) \ u,w,v5)) = L(x,y,L(z \ u,w,v5)). L(x,L(y \ z,u,w),v5) = L(x,L((y \ 1) \ z,u,w),v5). L(x,L((y \ 1) \ z,u,w),v5) = L(x,L(y \ z,u,w),v5). L(x,y,z * L(u \ w,v5,v6)) = L(x,y,z * L((u \ 1) \ w,v5,v6)). L(x,y,z * L((u \ 1) \ w,v5,v6)) = L(x,y,z * L(u \ w,v5,v6)). x \ (L(1 / x,y,z) \ u) = L(x,y,z) \ ((1 / x) \ u). L(x,y,z) \ ((1 / x) \ u) = x \ (L(1 / x,y,z) \ u). (x \ 1) \ L(x \ 1,y,z) != u | x \ L(x,y,z) = u. x != L(y \ 1,y,z) | (z * y) \ z = x. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | 1 = z. 1 = K(x \ 1,x * ((y * x) \ y)). K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(x,x \ 1) = T(x,(y * x) \ y). T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). x != ((y \ 1) \ 1) / y | K(y,y \ 1) = x. K(x,x \ 1) = K(x,(y * x) \ y). K(x,(y * x) \ y) = K(x,x \ 1). K(x,(y * x) \ y) != z | K(x,x \ 1) = z. K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). K(x,y) != z | K((u / x) \ u,y) = z. K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). 1 / T(x \ y,y \ x) = (x \ y) \ 1. x \ y != T(z \ u,u \ z) | x * (((z \ u) \ 1) \ 1) = y. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(x \ y,y \ x) \ 1 = 1 / (x \ y). 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). L(x,y,K(z \ u,u \ z)) = x. K(x \ y,y \ x) * (z * u) = (K(x \ y,y \ x) * z) * u. (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). T(x \ (x / y),y) != z | x \ (x / ((y \ 1) \ 1)) = z. x \ (x / ((y \ 1) \ 1)) = ((x \ (x / y)) \ 1) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). L(x \ 1,y,z) * ((x * x) * u) = L(x,y,z) * u. x \ y != (z * z) * (L(z,u,w) \ v5) | x * (L(z \ 1,u,w) \ v5) = y. (x \ 1) * (L(x \ 1,y,z) \ u) = x * (L(x,y,z) \ u). (L(x \ 1,y,z) \ u) * w = (x * x) * ((L(x,y,z) \ u) * w). (x * x) * ((L(x,y,z) \ u) * w) = (L(x \ 1,y,z) \ u) * w. L(L(x \ 1,y,z) \ u,x,x) = x * (x * (L(x,y,z) \ u)). (x * x) * (x * (L(x,y,z) \ u)) = L(x \ 1,y,z) \ (x * u). a(L(x \ 1,y,z) \ u,w,v5) = a(L(x,y,z) \ u,w,v5). L(x,L(y \ 1,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). L(x,L(y \ 1,z,u) \ w,v5) != v6 | L(x,L(y,z,u) \ w,v5) = v6. L(x,y,z * (L(u \ 1,w,v5) \ v6)) = L(x,y,z * (L(u,w,v5) \ v6)). L(x,y * (L(z \ 1,u,w) \ v5),v6) = L(x,y * (L(z,u,w) \ v5),v6). L(x,y,z) * (x \ u) = L(x \ 1,y,z) * ((x \ 1) \ u). L(x \ 1,y,z) * ((x \ 1) \ u) = L(x,y,z) * (x \ u). L(x,y,z) * (x \ ((x \ 1) * u)) = L(x \ 1,y,z) * u. x != y \ (y / ((z \ 1) \ 1)) | (y * z) \ y = x. (x * y) \ x = ((x \ (x / y)) \ 1) \ 1. ((x \ (x / y)) \ 1) \ 1 = (x * y) \ x. 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. (((x * y) \ x) \ 1) \ 1 = x \ (x / y). ((x \ y) \ 1) \ 1 = y \ (y / (y \ x)). a(x,L(y \ (y / z),u,w),v5) = a(x,L(((y * z) \ y) \ 1,u,w),v5). a(x,L(((y * z) \ y) \ 1,u,w),v5) = a(x,L(y \ (y / z),u,w),v5). x != y \ (y / z) | L(1 / z,z,y) = x. L(1 / (x \ y),x \ y,x) = ((y \ x) \ 1) \ 1. x \ y != z \ (z / (z \ u)) | x * (((u \ z) \ 1) \ 1) = y. x * (((y \ x) \ 1) \ 1) = x / (x \ y). x \ y != ((z \ u) \ 1) \ 1 | x * T(z \ u,u \ z) = y. x * T(y \ x,x \ y) = x / (x \ y). x != (y \ 1) \ 1 | 1 / (1 / y) = x. 1 / (1 / (x \ y)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). x \ y != L(1 / (z \ u),z \ u,z) | x * (1 / (1 / (u \ z))) = y. x * (1 / (1 / (x \ y))) = y * ((y \ x) * (1 / (y \ x))). x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). 1 / (x \ (x / y)) = (x \ (x / (1 / (1 / y)))) \ 1. (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). x \ y != z \ (z / (1 / (1 / u))) | x * (1 / (1 / (z \ (z / u)))) = y. x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). x != L(y,L(z \ 1,u,w),v5) | L(y,L(z,u,w),v5) = x. L(x,L(y,z,u),w) = L(x,L(L(y,y,y),z,u),w). L(x,L(L(y,y,y),z,u),w) = L(x,L(y,z,u),w). L(x,L(L(y,z,u),y,y),w) = L(x,L(y,z,u),w). L(x,y,z) * (u * u) != w | L(x * (u * u),y,z) = w. x \ y != L(z,u,w) \ (z * v5) | x * (z * (L(z,u,w) \ v5)) = y. (L(x,y,z) \ x) * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) = L(L(x,y,z) \ x,u,w). a(x,y,z) \ L((x * (y * z)) \ ((x * y) * z),u,w) = (x * (y * z)) \ (((x * y) * z) * L(((x * y) * z) \ (x * (y * z)),u,w)). (x * (y * z)) \ (((x * y) * z) * L(((x * y) * z) \ (x * (y * z)),u,w)) = a(x,y,z) \ L((x * (y * z)) \ ((x * y) * z),u,w). T(x,y) \ L(y \ (x * y),z,u) = y \ ((x * y) * L((x * y) \ y,z,u)). x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) \ L(x \ (y * x),z,u). (x * (y * y)) \ L((1 / x) \ (y * y),z,u) = (1 / x) \ ((y * y) * L((y * y) \ (1 / x),z,u)). (1 / x) \ ((y * y) * L((y * y) \ (1 / x),z,u)) = (x * (y * y)) \ L((1 / x) \ (y * y),z,u). L(x \ (y * L(y \ x,z,u)),x \ y,x) != w | y \ (x * L(x \ y,z,u)) = w. L(x,y \ (z * L(z \ y,u,w)),v5) = L(x,(y \ z) * L(y \ z,u,w),v5). (x \ (x / y)) \ L((((x * y) \ x) \ 1) \ 1,z,u) = (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)). (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)) = (x \ (x / y)) \ L((((x * y) \ x) \ 1) \ 1,z,u). (x \ y) \ L(x \ y,z,u) != w | x \ (y * L(y \ x,z,u)) = w. (x \ L(x,y,z)) * (x \ u) != w * v5 | w \ (u * L(u \ (x \ u),y,z)) = v5. x * y != T(z,u) * (z \ L(z,w,v5)) | x \ ((z \ L(z,w,v5)) * T(z,u)) = y. x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). L(L(x * (y * y),z,u),w,v5) \ v6 = (y * y) \ (L(L(x,z,u),w,v5) \ v6). a((x * L(x,y,z)) * u,w,v5) = a((x \ L(x,y,z)) * u,w,v5). a((x \ L(x,y,z)) * u,w,v5) = a((x * L(x,y,z)) * u,w,v5). (x \ 1) * L(x * L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). L(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,L(z \ L(z,u,w),v5,v6)). L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). L(x,L(y * L(y,z,u),w,v5),v6) = L(x,L(y \ L(y,z,u),w,v5),v6). L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,L(y * L(y,z,u),w,v5),v6). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. T(K(x,y),K(z,x)) != u | K(x,y) = u. K(x,y) = (K(x,y) \ 1) \ 1. (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). L(x \ 1,y,z) \ (x \ u) = x * (L(x,y,z) \ (x \ ((1 / x) \ u))). x * (L(x,y,z) \ (x \ ((1 / x) \ u))) = L(x \ 1,y,z) \ (x \ u). L(x \ 1,y,z) \ (x * u) = x * (L(x,y,z) \ ((x * x) * u)). x * (L(x,y,z) \ ((x * x) * u)) = L(x \ 1,y,z) \ (x * u). x != y * (L(y,z,u) \ y) | L(1 / y,z,u) \ 1 = x. L(1 / x,y,z) \ 1 = (x \ 1) * (L(x \ 1,y,z) \ x). (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. x * y != z * (L(z,u,w) \ (z \ v5)) | x \ (L(z,u,w) \ v5) = y. (x \ 1) \ (L(x,y,z) \ u) = L(x \ 1,y,z) \ (x \ u). L(x \ 1,y,z) \ (x \ u) = (x \ 1) \ (L(x,y,z) \ u). x * (L(x,y,z) \ u) != (x \ 1) * w | L(x \ 1,y,z) \ u = w. (x \ 1) * y != x * (L(x,z,u) \ w) | L(x \ 1,z,u) \ w = y. (x * x) * (x * (L(x,y,z) \ u)) != w | ((x \ 1) \ 1) * (L(x \ 1,y,z) \ u) = w. a(L(L(x \ 1,y,z) \ 1,u,w),v5,v6) = a(L(x,y,z) \ (L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w)),v5,v6). a(L(x,y,z) \ (L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w)),v5,v6) = a(L(L(x \ 1,y,z) \ 1,u,w),v5,v6). L(L(x,y,z) * (x \ u),x,x) = x * (L(x \ 1,y,z) * u). x \ y != L(z,u,w) * (z \ ((z \ 1) * v5)) | x * (L(z \ 1,u,w) * v5) = y. x * (L(x \ 1,y,z) * u) = L(x,y,z) * ((x \ 1) * u). L(x,y,z) * ((x \ 1) * u) = x * (L(x \ 1,y,z) * u). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). (x \ 1) * (L(x \ 1,y,z) \ x) != u | L(x \ 1,y,z) \ K(x \ 1,x) = u. L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. L(1 / x,y,z) \ L(u,L(1 / x,y,z),L(1 / x,y,z)) = ((x \ 1) * (L(x \ 1,y,z) \ x)) * u. x != (y \ 1) \ (L(y,z,u) \ 1) | L(y,z,u) \ y = x. L(x,y,z) \ x = L(x \ 1,y,z) \ (x \ 1). L(x \ 1,y,z) \ (x \ 1) = L(x,y,z) \ x. x != L(y \ 1,z,u) \ (y \ 1) | L(y,z,u) \ y = x. L(x,y,z) \ x = L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1). L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. L(x,y,z) * (x \ L(1 / x,u,w)) = x * (L(x \ 1,y,z) * L(x \ 1,u,w)). x * (L(x \ 1,y,z) * L(x \ 1,u,w)) = L(x,y,z) * (x \ L(1 / x,u,w)). x \ y != L((z \ (u \ (w \ v5))) * z,u,w) | x * ((z \ ((w * u) \ v5)) * z) = y. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). (1 / x) * (L(x,y,z) * u) = x * (L(x \ 1,y,z) * u). x != y * (L(y \ 1,z,u) * w) | L(y,z,u) * ((y \ 1) * w) = x. L(x,y,z) * ((x \ 1) * u) = (1 / x) * (L(x,y,z) * u). (x \ L(x,y,z)) \ ((1 / x) * (L(x,y,z) * u)) = L(u,x \ 1,L(x,y,z)). (x \ 1) * L((y * y) * L(z,u,w),v5,v6) = (x \ (y * y)) * L(L(z,v5,v6),u,w). (1 / x) * (y * L(y \ x,z,u)) = ((1 / x) * y) \ L((1 / x) * y,z,u). ((1 / x) * y) \ L((1 / x) * y,z,u) = (1 / x) * (y * L(y \ x,z,u)). x * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * (x * u). (x \ L(x,y,z)) * (x * u) = x * ((x \ L(x,y,z)) * u). L(x,y,L(z \ 1,u,w)) != v5 | L(x,y,L(z,u,w)) = v5. L(x,y,L(z,z,u * z)) = L(x,y,R(u,z,z) \ (u * z)). L(x,y,R(z,u,u) \ (z * u)) = L(x,y,L(u,u,z * u)). x * L(L(x \ y,z,u),w,v5) = x \ L(L(x * y,z,u),w,v5). x \ L(L(x * y,z,u),w,v5) = x * L(L(x \ y,z,u),w,v5). K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). x != K(y \ z,(y \ z) \ 1) | K(y \ z,z \ y) = x. K(x \ y,y \ x) = K(x \ y,T(x / y,T(y,x))). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). x * (L(1 / x,y,z) \ u) = L(x \ 1,y,z) \ (x * u). L(x \ 1,y,z) \ (x * u) = x * (L(1 / x,y,z) \ u). L(x \ 1,y,z) * u = x * (L(1 / x,y,z) * (x \ u)). x * (L(1 / x,y,z) * (x \ u)) = L(x \ 1,y,z) * u. L(x * L(L(x \ y,z,u),w,v5),x,x) = (1 / x) * L(L(x * y,z,u),w,v5). L(x,(1 / y) * z,u) != w | L(x,y * z,u) = w. L(x,L(y \ z,y,y),u) != w | L(x,y * z,u) = w. L(x,T((1 / y) * z,y),u) != w | L(x,y * ((y \ z) * y),u) = w. L(x,y * ((z * z) * u),w) != v5 | L(x,y * u,w) = v5. L(x,y \ L(y,z,u),w) != v5 | L(x,y * L(y,z,u),w) = v5. L(x,L(a(y,z,u),y * (z * u),y * (z * u)),w) != v5 | L(x,(y * (z * u)) * ((y * z) * u),w) = v5. x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. R(x,y,K(x \ 1,x)) = x. x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. (x / y) * (y / x) = (y / x) / ((x / y) \ 1). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. ((x \ y) / y) / (x \ 1) = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). x * ((x \ y) / y) = ((x \ y) / y) / (x \ 1). ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. x != (y \ z) / z | R(1 / y,y,y \ z) = x. R(1 / x,x,x \ y) = (x * ((x \ y) / y)) * (x \ 1). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. L(x,y,z) * L(u,x,x * L(x,y,z)) = (x \ L(x,y,z)) * (x * u). x * y != (1 / z) * (L(z,u,w) * v5) | x \ (z * (L(z \ 1,u,w) * v5)) = y. (x \ L(x,y,z)) \ (x * (L(x \ 1,y,z) * u)) = L(u,L(x,y,z),x). x * (L(x,y,z) \ (L(x,y,z) * L(x,y,z))) = x / (1 / L(x,y,z)). L(x,y,z * L(u * L(u,w,v5),v6,v7)) = L(x,y,z * L(u \ L(u,w,v5),v6,v7)). L(x,y,z * L(u \ L(u,w,v5),v6,v7)) = L(x,y,z * L(u * L(u,w,v5),v6,v7)). L(x,y,z * (L(u,w,v5) \ v6)) = L(x,y,z * (L(1 / u,w,v5) \ v6)). L(x,y,z * (L(1 / u,w,v5) \ v6)) = L(x,y,z * (L(u,w,v5) \ v6)). L(x,y,z) \ ((1 / x) \ u) = L(x \ 1,y,z) \ (x \ u). L(x \ 1,y,z) \ (x \ u) = L(x,y,z) \ ((1 / x) \ u). x != L(y,z,u) \ ((1 / y) \ w) | y \ (L(1 / y,z,u) \ w) = x. x \ (L(1 / x,y,z) \ u) = L(x \ 1,y,z) \ (x \ u). L(x \ 1,y,z) \ (x \ u) = x \ (L(1 / x,y,z) \ u). L(x \ 1,y,z) \ (x \ u) != w | (x \ 1) \ (L(x,y,z) \ u) = w. (x \ 1) \ (L(x,y,z) \ u) = x \ (L(1 / x,y,z) \ u). (x \ 1) \ ((L(x,y,z) \ 1) * u) = x \ (L(1 / x,y,z) \ L(u,L(x,y,z),L(x,y,z))). x \ (L(1 / x,y,z) \ L(u,L(x,y,z),L(x,y,z))) = (x \ 1) \ ((L(x,y,z) \ 1) * u). x * L(x,y,z) = x / (1 / L(x,y,z)). x / (1 / L(x,y,z)) = x * L(x,y,z). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). (K(x \ 1,x) * y) / z != u | K(x \ 1,x) * (y / z) = u. K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). K(x \ 1,x) * R(y,z,u) = R(K(x \ 1,x) * y,z,u). R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). x \ y != K(z \ 1,z) * R(u,w,v5) | x * R(K(z \ 1,z) * u,w,v5) = y. K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). R(x \ 1,y,z) = K(x \ 1,x) * R(1 / x,y,z). K(x \ 1,x) * R(1 / x,y,z) = R(x \ 1,y,z). K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). (x \ 1) * R(K(x,x \ 1) * ((1 / x) \ y),z,u) = R(y * x,z,u) / x. x * (L(y,z,u) \ y) != (L(y,z,u) \ 1) * y | L(K(y \ 1,y),z,u) = x. L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). K(L(x,y,z) \ 1,L(x,y,z)) = L(K(x \ 1,x),y,z). K(L(x,y,z) \ 1,L(x,y,z)) != L(u,y,z) | K(x \ 1,x) = u. L(x,y,z) != K(L(u,y,z) \ 1,L(u,y,z)) | K(u \ 1,u) = x. x \ ((y * x) * L((y * x) \ x,z,u)) = T(y,x) \ L(T(y,x),z,u). x \ (y * (x * L(x \ (y \ x),z,u))) = T(y,x) \ L(T(y,x),z,u). x \ ((y \ L(y,z,u)) * x) = T(y,x) \ L(T(y,x),z,u). T(x,y) \ L(T(x,y),z,u) = y \ ((x \ L(x,z,u)) * y). 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). (x * (y * y)) \ L(T((y * y) * x,y * y),z,u) = T(((y * y) * x) \ L((y * y) * x,z,u),y * y). T(((x * x) * y) \ L((x * x) * y,z,u),x * x) = (y * (x * x)) \ L(T((x * x) * y,x * x),z,u). T(x \ L(x,y,z),u) * (T(x,u) \ 1) = L(T(x,u) \ 1,y,z). L(x,(y * z) \ (L(y,u,w) * z),v5) = L(x,((y * z) \ z) * L((y * z) \ z,u,w),v5). L(x,((y * z) \ z) * L((y * z) \ z,u,w),v5) = L(x,(y * z) \ (L(y,u,w) * z),v5). L(L(x \ (y * y),z,u),w,v5) \ v6 = (y * y) \ (L(L(x \ 1,z,u),w,v5) \ v6). (x * x) \ (L(L(y \ 1,z,u),w,v5) \ v6) = L(L(y \ (x * x),z,u),w,v5) \ v6. L(x,y,L(y,z,u)) = (y \ L(y,z,u)) \ ((1 / y) * (L(y,z,u) * x)). (x \ L(x,y,z)) \ ((1 / x) * (L(x,y,z) * u)) = L(u,x,L(x,y,z)). (x \ L(x,y,z)) \ (x * (L(x \ 1,y,z) * u)) = L(u,x,L(x,y,z)). (x \ L(x,y,z)) \ (x * (L(x \ 1,y,z) * u)) != w | L(u,L(x,y,z),x) = w. L(x,L(y,z,u),y) = L(x,y,L(y,z,u)). (x \ 1) * R((x \ 1) \ y,z,u) = R(y * x,z,u) / x. (x \ 1) * R((x \ 1) \ y,z,u) != w | x \ R(x * y,z,u) = w. x \ R(x * y,z,u) = R(y * x,z,u) / x. R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(x * y,z,u)) * x = R(y * x,z,u). R((x \ y) * x,z,u) / x = x \ R(y,z,u). R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. R(x,y,z) / x = x \ R(x,y,z). (1 / x) * R(x,y,z) = x \ R(x,y,z). (x \ R(x,y,z)) \ R(x,y,z) = x. (x \ R(x,y,z)) * x = R(x,y,z). x / y != z \ x | T(z,z \ x) = y. T(x,x \ R(x,y,z)) = x. x \ R(x,y,z) != u | (1 / x) * R(x,y,z) = u. R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). (x * R(x \ 1,y,z)) * (1 / x) = R(1 / x,y,z). R(x,y,z) * u != x \ R(x,y,z) | T(1 / x,R(x,y,z)) = u. T(1 / x,R(x,y,z)) = x \ 1. a(x,y,z \ R(z,u,w)) = a(x,y,z * R(z,u,w)). L(x,y \ R(y,z,u),w) != v5 | L(x,y * R(y,z,u),w) = v5. T(x,R(x \ 1,y,z)) = (x \ 1) \ 1. T(1 / x,R((1 / x) \ 1,y,z)) = x \ 1. (1 / x) \ (x \ 1) = x * T(x \ 1,R((1 / x) \ 1,y,z)). x * T(x \ 1,R((1 / x) \ 1,y,z)) = (1 / x) \ (x \ 1). 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 \ u) * R(w,y,z) | w = x. x = (R(x,y,z) \ x) * R(x,y,z). (R(x,y,z) \ x) * R(x,y,z) = x. R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. x / R(x,y,z) = R(x,y,z) \ x. x / R(x,y,z) != u | (1 / R(x,y,z)) * x = u. (1 / R(x,y,z)) * x = R(x,y,z) \ x. x * y != R(x,z,u) \ x | T(1 / R(x,z,u),x) = y. T(1 / R(x,y,z),x) = R(x,y,z) \ 1. R(x / (y * y),z,u) = R(x,z,u) / (y * y). R(x / (y * y),z,u) * (y * y) = R(x,z,u). x * y != R(z / (u * u),w,v5) * (u * u) | x \ R(z,w,v5) = y. x \ R(x * y,z,u) = x * R(x \ y,z,u). (x * x) \ R(y,z,u) = R((x * x) \ y,z,u). R((x * x) \ y,z,u) = (x * x) \ R(y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x * R(x \ y,z,u). x \ R(x * (y * (x \ 1)),z,u) != w | R(y,z,u) * (x \ 1) = w. R(x,y,z) * (u \ 1) = u * R(u \ (x * (u \ 1)),y,z). x * R(x \ (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). x \ R(x,y,z) = x * R(x \ 1,y,z). x * R(x \ 1,y,z) = x \ R(x,y,z). x \ R(y,z,u) = x * R(x \ (x \ y),z,u). x * R(x \ (x \ y),z,u) = x \ R(y,z,u). R(1 / x,y,z) * x = x \ R(x,y,z). x \ (x \ R(x,y,z)) = R(x \ 1,y,z). (x \ y) * R((x \ y) \ 1,z,u) != w | x \ (y * R(y \ x,z,u)) = w. x \ (y * R(y \ x,z,u)) = (x \ y) \ R(x \ y,z,u). (x \ y) \ R(x \ y,z,u) = x \ (y * R(y \ x,z,u)). x * (y * R(y \ (x \ y),z,u)) = (x \ R(x,z,u)) * y. x * L(R(x \ 1,y,z),u,w) = x \ L(R(x,y,z),u,w). x * L(L(R(x \ 1,y,z),u,w),v5,v6) = x \ L(L(R(x,y,z),u,w),v5,v6). x \ y != (z * z) \ R(u,w,v5) | x * R((z * z) \ u,w,v5) = y. x * R((x * x) \ y,z,u) = (x \ 1) * R(y,z,u). (x \ R(x,y,z)) * (1 / x) = R(1 / x,y,z). x * R(1 / x,y,z) = (x \ 1) * R(x,y,z). (x \ 1) * R(x,y,z) = x * R(1 / x,y,z). L(x,(y \ 1) * (y * R(y \ z,u,w)),v5) = L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5). L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5) = L(x,(y \ 1) * (y * R(y \ z,u,w)),v5). a(x,y,z) \ R((x * (y * z)) \ ((x * y) * z),u,w) = (x * (y * z)) \ (((x * y) * z) * R(((x * y) * z) \ (x * (y * z)),u,w)). (x * (y * z)) \ (((x * y) * z) * R(((x * y) * z) \ (x * (y * z)),u,w)) = a(x,y,z) \ R((x * (y * z)) \ ((x * y) * z),u,w). x != (1 / y) \ (y \ 1) | K(y \ 1,y) = x. K(x \ 1,x) = x * T(x \ 1,R((1 / x) \ 1,y,z)). x * T(x \ 1,R((1 / x) \ 1,y,z)) = K(x \ 1,x). x * T(x \ 1,R(x,y,z)) = K(x \ 1,x). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. ((x \ (y / (1 / z))) * x) * (1 / z) != u | x * (T((x \ y) * z,x) / z) = u. x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. x * y != K(z * u,(z * u) \ 1) * ((((z * u) \ 1) * z) * u) | a((z * u) \ 1,z,u) / y = x. a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. x \ T(K(x,x \ 1) * y,x \ 1) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). (x \ 1) * L((x * x) * L(x,y,z),u,w) = (x \ 1) \ L(L(x,y,z),u,w). x * (L(x \ 1,y,z) * L(x \ 1,u,w)) != v5 | L(1 / x,y,z) * (x \ L(x,u,w)) = v5. L(1 / x,y,z) * (x \ L(x,u,w)) = L(x,y,z) * (x \ L(1 / x,u,w)). x * (L(x,y,z) * (x \ L(1 / x,u,w))) = L(x \ 1,y,z) * L(x,u,w). L(x \ 1,y,z) * L(x,u,w) != v5 | L(x,y,z) * L(1 / x,u,w) = v5. (x \ 1) * L((x * x) * L(x,y,z),u,w) != v5 | (x \ 1) \ L(L(x,y,z),u,w) = v5. (x \ 1) \ L(L(x,y,z),u,w) = (x \ (x * x)) * L(L(x,u,w),y,z). (x \ (x * x)) * L(L(x,y,z),u,w) = (x \ 1) \ L(L(x,u,w),y,z). x * L(L(x,y,z),u,w) = (x \ 1) \ L(L(x,u,w),y,z). (x \ 1) \ L(L(x,y,z),u,w) = x * L(L(x,u,w),y,z). L(x,y,z) * (L(L(u \ (x * x),w,v5),v6,v7) \ v8) = L(x \ 1,y,z) * (L(L(u \ 1,w,v5),v6,v7) \ v8). L(x \ 1,y,z) * (L(L(u \ 1,w,v5),v6,v7) \ v8) = L(x,y,z) * (L(L(u \ (x * x),w,v5),v6,v7) \ v8). L(L(x \ 1,y,z) \ u,L(x,y,z),L(x,y,z)) = (1 / L(x \ 1,y,z)) * u. L(x \ 1,y,z) \ (x * u) != w | ((x \ 1) \ 1) * (L(x \ 1,y,z) \ u) = w. ((x \ 1) \ 1) * (L(x \ 1,y,z) \ u) = x * (L(1 / x,y,z) \ u). x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = (x * L(x,y,z)) \ L(x * L(x,y,z),u,w). (x * L(x,y,z)) \ L(x * L(x,y,z),u,w) = x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)). L((x * L(x,y,z)) \ u,x * L(x,y,z),x \ 1) = L(x,y,z) \ ((x \ 1) * u). L((x * L(x,y,z)) \ u,x * L(x,y,z),x) = L(x,y,z) \ ((x \ 1) * u). L((x * L(y,z,u)) \ w,x * L(y,z,u),x) != v5 | L(x * (x * y),z,u) \ (x * w) = v5. L(x * (x * x),y,z) \ (x * u) = L(x,y,z) \ ((x \ 1) * u). (x * x) \ (L(x,y,z) \ (x * u)) = L(x,y,z) \ ((x \ 1) * u). (x * x) \ (x * (L(x,y,z) \ u)) = L(x,y,z) \ ((x \ 1) * u). (1 / x) * (L(x,y,z) \ u) = L(x,y,z) \ ((x \ 1) * u). L(x,y,z) \ ((x \ 1) * u) = (1 / x) * (L(x,y,z) \ u). L(x,(y \ 1) \ L(y,z,u),y \ 1) = (1 / y) * (L(y,z,u) \ (((y \ 1) \ L(y,z,u)) * x)). (1 / x) * (L(x,y,z) \ (((x \ 1) \ L(x,y,z)) * u)) = L(u,(x \ 1) \ L(x,y,z),x \ 1). L(x,y,z) \ (x * (((1 / x) * u) * w)) = (1 / x) * (L(x,y,z) \ ((x * u) * w)). L(x,y,z) \ (x * ((x \ 1) * u)) = x * ((1 / x) * (L(x,y,z) \ u)). L(x,y,z) \ L(u,x,x) = x * ((1 / x) * (L(x,y,z) \ u)). x * ((1 / x) * (L(x,y,z) \ u)) = L(x,y,z) \ L(u,x,x). x * (L(x,y,z) \ (((1 / x) * u) * w)) = (1 / x) * (L(x,y,z) \ ((x * u) * w)). (1 / x) * (L(x,y,z) \ ((x * u) * w)) = x * (L(x,y,z) \ (((1 / x) * u) * w)). L(x,y,(z \ 1) * u) != w | L(x,y,z * u) = w. L(((x * y) \ x) \ z,((x \ 1) * y) \ x,x * y) = (x \ 1) \ (((x \ 1) * y) * z). L(x,((y \ 1) * z) \ y,u) != w | L(x,(y * z) \ y,u) = w. L(((x * y) \ x) \ z,(x * y) \ x,x * y) = (x \ 1) \ (((x \ 1) * y) * z). x \ ((x * y) * z) = (x \ 1) \ (((x \ 1) * y) * z). (x \ 1) \ (((x \ 1) * y) * z) = x \ ((x * y) * z). (x * y) \ (x * (x \ ((x * z) * u))) = ((x \ 1) * y) \ (((x \ 1) * z) * u). ((x \ 1) * y) \ (((x \ 1) * z) * u) = (x * y) \ (x * (x \ ((x * z) * u))). ((x \ 1) * y) \ (((x \ 1) * z) * u) = (x * y) \ ((x * z) * u). (1 / x) * (L(x,y,z) \ (((x \ 1) \ L(x,y,z)) * u)) = L(u,x * L(x,y,z),x \ 1). (1 / x) * (L(x,y,z) \ (((x \ 1) \ L(x,y,z)) * u)) != w | L(u,x * L(x,y,z),x) = w. R(x,y,z) * (z * R(T(y,z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5) = L(x,y * ((1 / y) * R(y \ z,u,w)),v5). T(x * L(x,y,z),L(x,y,z) \ (L(x,y,z) \ 1)) != u | (L(x,y,z) \ 1) \ x = u. (x \ ((x * y) * z)) * L((x \ ((x * y) * z)) \ y,u,w) = x \ ((x * y) * (z \ L(z,u,w))). T((x * ((x \ 1) \ y)) * z,(1 / x) \ ((1 / x) \ 1)) = y * (z / ((1 / x) * (1 / x))). T((x * ((x \ 1) \ y)) * z,(1 / x) \ ((1 / x) \ 1)) = y * (z / (x \ (1 / x))). T((x * ((x \ 1) \ y)) * z,(1 / x) \ ((1 / x) \ 1)) = y * (z * ((1 / x) \ x)). T(x * ((x \ 1) \ (y * z)),(1 / x) \ ((1 / x) \ 1)) = y * (z * ((1 / x) \ x)). T(((1 / x) \ y) * z,(1 / x) \ ((1 / x) \ 1)) = (x \ y) * (z * ((1 / x) \ x)). T(x * ((x \ 1) \ y),(1 / x) \ ((1 / x) \ 1)) = 1 * (y * ((1 / x) \ x)). x != T(y * ((y \ 1) \ z),(1 / y) \ ((1 / y) \ 1)) | z * ((1 / y) \ y) = x. (x * y) * ((1 / z) \ z) = x * (y * ((1 / z) \ z)). x \ (y * ((1 / z) \ z)) = (x \ y) * ((1 / z) \ z). T(((1 / x) \ y) * z,(1 / x) \ x) = (x \ y) * (z * ((1 / x) \ x)). (1 / x) \ ((y * y) * L((y * y) \ (1 / x),z,u)) = (x * (y * y)) \ L(x * (y * y),z,u). x != (y * (z * z)) \ u | (z * z) \ (y \ u) = x. (x * x) \ (y \ L(y * (x * x),z,u)) = (1 / y) \ ((x * x) * L((x * x) \ (1 / y),z,u)). (1 / x) \ ((y * y) * L((y * y) \ (1 / x),z,u)) = (y * y) \ (x \ L(x * (y * y),z,u)). (1 / x) \ L(1 / x,y,z) = (u * u) \ (x \ L(x * (u * u),y,z)). (x * x) \ (y \ L(y * (x * x),z,u)) = (1 / y) \ L(1 / y,z,u). x != (1 / y) \ L(1 / y,z,u) | y \ L(y,z,u) = x. x \ L(x,y,z) = (u * u) \ (x \ L(x * (u * u),y,z)). (x * x) \ (y \ L(y * (x * x),z,u)) = y \ L(y,z,u). ((x * y) * ((y \ 1) * (y \ (z * u)))) \ (((x * (1 / y)) * z) * u) = a(x * y,(y \ 1) * (y \ z),u). (x / (y \ 1)) * L((x / (y \ 1)) \ (x * 1),z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). (x / (y \ 1)) * L((x / (y \ 1)) \ x,z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). (x / (y \ 1)) * L(y \ 1,z,u) = x * (L(y,y,x) \ L(L(y,y,x),z,u)). x * (L(y,y,x) \ L(L(y,y,x),z,u)) = (x / (y \ 1)) * L(y \ 1,z,u). L(1 / x,y,z) \ L(u,L(1 / x,y,z),L(x,y,z)) = ((x \ 1) * (L(x \ 1,y,z) \ x)) * u. L(1 / x,y,z) \ L(u,L(x,y,z),L(x,y,z)) = ((x \ 1) * (L(x \ 1,y,z) \ x)) * u. L(1 / x,y,z) \ L(u,L(x,y,z),L(x,y,z)) = (L(1 / x,y,z) \ 1) * u. x \ ((L(1 / x,y,z) \ 1) * u) = (x \ 1) \ ((L(x,y,z) \ 1) * u). (x \ 1) \ ((L(x,y,z) \ 1) * u) = x \ ((L(1 / x,y,z) \ 1) * u). ((x * (1 / y)) * (z * u)) \ (((x * (1 / y)) * z) * u) = a(x * y,(y \ 1) * (y \ z),u). a(x * y,(y \ 1) * (y \ z),u) = ((x * (1 / y)) * (z * u)) \ (((x * (1 / y)) * z) * u). a(x * (1 / y),z,u) = a(x * y,(y \ 1) * (y \ z),u). a(x * y,(y \ 1) * (y \ z),u) = a(x * (1 / y),z,u). a(x,(y \ 1) * z,u) != w | a(x,y * z,u) = w. a(x * y,y * (y \ z),u) = a(x * (1 / y),z,u). a(x * y,z,u) = a(x * (1 / y),z,u). a(x * (1 / y),z,u) = a(x * y,z,u). (((x \ 1) \ 1) \ y) * (((x \ 1) \ 1) * ((x \ 1) \ 1)) = T((1 / x) \ y,(x \ 1) \ (1 / (x \ 1))). (((x \ 1) \ 1) \ y) * (((x \ 1) \ 1) * ((x \ 1) \ 1)) = T((1 / x) \ y,(x \ 1) \ x). (((x \ 1) \ 1) \ y) * (((x \ 1) \ 1) * ((x \ 1) \ 1)) = T((1 / x) \ y,x * x). (((x \ 1) \ 1) \ y) * ((x \ 1) \ (1 / (x \ 1))) = T((1 / x) \ y,x * x). (((x \ 1) \ 1) \ y) * ((x \ 1) \ x) = T((1 / x) \ y,x * x). (((x \ 1) \ 1) \ y) * (x * x) = T((1 / x) \ y,x * x). (((x \ 1) \ y) \ z) * (x * x) != u | (x \ y) \ T(z,x * x) = u. (x \ 1) \ T(y,x * x) = T((1 / x) \ y,x * x). T((1 / x) \ y,x * x) = (x \ 1) \ T(y,x * x). (x \ (1 / x)) * (((x \ 1) * (x \ y)) * ((1 / x) \ x)) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). (x \ (1 / x)) * ((x \ 1) * ((x \ y) * ((1 / x) \ x))) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(K(T(x,y),1 / x),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. K(T(x,y),T(x,y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). x * y != K(x,x \ 1) | 1 / x = y. 1 / T(x,y) = (T(x,y) / x) \ (1 / x). (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). (x \ T(x,y)) \ (x \ 1) != z | T(x,y) \ 1 = z. T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. (T(x,y) \ 1) \ 1 = T(T(x,x \ 1),y). T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x \ 1,y) = T(1 / x,y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. T(x \ 1,y) = (T(1 / x,y) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). 1 / T(x,y) = T((x \ 1) \ 1,y) \ 1. T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). 1 / T(x,y) != z \ 1 | T(1 / (1 / x),y) = z. x \ 1 != 1 / T(y,z) | T(1 / (1 / y),z) = x. x \ y != T((z \ 1) \ 1,u) | x * ((T(z,u) \ 1) \ 1) = y. x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. (T(x,y) \ 1) \ L(z,T(x,y),T(x,y)) = T((x \ 1) \ 1,y) * z. T(T(x,y),x \ 1) \ 1 = 1 / T(x,y). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). x \ y != T(1 / (1 / z),u) | x * (1 / (1 / T(z,u))) = y. x * (1 / (1 / T(y,x))) = (1 / (1 / y)) * x. x \ y != 1 / (1 / T(z,u)) | x * T(1 / (1 / z),u) = y. K(T(x,y),T(x,y) \ 1) * T(1 / (1 / x),y) = T(x,y). ((1 / T(x,y)) \ 1) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = ((1 / T(x,y)) \ 1) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). T(x,T(x,y) \ 1) = (x \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((R(z / x,x,y) \ 1) \ 1) * (x * y). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). x != (y \ 1) \ 1 | y * K(y,y \ 1) = x. x * K(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). T(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = T(x,x \ 1). T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. x \ y != T(K(z,z \ 1),u) | x * K(z,z \ 1) = y. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,K(y,1 / y)) = x. T(x,K(y \ 1,y)) = x. T(x,(y \ 1) * y) = x. T(x,K(y \ z,z \ y)) = x. x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). T((x \ 1) * y,K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. T(K(x \ 1,x),y) = K(x \ 1,x). K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). (K(x \ 1,x) * y) * K(x,x \ 1) = y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. (1 / x) * y = ((x \ 1) * y) * K(x,x \ 1). ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. T(x,x \ 1) * y = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. ((x \ 1) \ 1) * y = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. x != (y * K(z \ 1,z)) * K(z,z \ 1) | y = x. x = K(y,y \ 1) * (x * K(y \ 1,y)). K(x,x \ 1) * (y * K(x \ 1,x)) = y. x != (y * z) * K(z,z \ 1) | y * ((z \ 1) \ 1) = x. x * ((y \ 1) \ 1) = K(y,y \ 1) * (x * y). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x != (y / (1 / z)) * K(z,z \ 1) | y / (z \ 1) = x. x / (y \ 1) = K(y,y \ 1) * (x / (1 / y)). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). x != (y * (z \ 1)) * K(z,z \ 1) | y * (1 / z) = x. x * (1 / y) = K(y,y \ 1) * (x * (y \ 1)). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). x != (y * z) * K(z,z \ 1) | y * T(z,z \ 1) = x. x * T(y,y \ 1) = K(y,y \ 1) * (x * y). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). K(x,x \ 1) * R(y,z,u) != w | R(K(x,x \ 1) * y,z,u) = w. R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). K(x,x \ 1) * ((1 / x) \ y) != z | (x \ 1) \ y = z. (x \ 1) \ y = ((1 / x) \ y) * K(x,x \ 1). ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(x,1 / x) * (y * z) != u | (K(x,1 / x) * y) * z = u. (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. x != (y * z) * K(z \ 1,z) | y * (1 / (1 / z)) = x. x * (1 / (1 / y)) = K(y \ 1,y) * (x * y). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). x != (y / (z \ 1)) * K(z \ 1,z) | y / (1 / z) = x. x / (1 / y) = K(y \ 1,y) * (x / (y \ 1)). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). x != (y / z) * K(z \ 1,z) | y / ((z \ 1) \ 1) = x. x / ((y \ 1) \ 1) = K(y \ 1,y) * (x / y). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). x != (y * (1 / z)) * K(z \ 1,z) | y * (z \ 1) = x. x * (y \ 1) = K(y \ 1,y) * (x * (1 / y)). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). K(x \ 1,x) * (y / z) != u | (K(x \ 1,x) * y) / z = u. (K(x \ 1,x) * y) / z = (y / z) * K(x \ 1,x). K(x \ 1,x) * (x * y) != z | (1 / (1 / x)) * y = z. (1 / (1 / x)) * y = (x * y) * K(x \ 1,x). (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x \ 1,x) * ((x \ 1) \ y) != z | (1 / x) \ y = z. (1 / x) \ y = ((x \ 1) \ y) * K(x \ 1,x). ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. T(((x / y) \ 1) \ 1,y) != z | T(y \ x,y / x) = z. T(x \ y,x / y) = ((x \ y) \ 1) \ 1. (x / y) * (((y \ x) \ 1) \ 1) = (1 / (x / y)) \ (y \ x). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. x * y != ((1 / z) * u) * K(z \ 1,z) | ((z \ 1) * u) / y = x. ((x \ 1) * y) / (x \ 1) = ((1 / x) * y) / (1 / x). ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). (T(x,x \ 1) * y) * (x \ 1) = (x * y) * (1 / x). (((x \ 1) \ 1) * y) \ z = K(x,x \ 1) * ((x * y) \ z). K(x,x \ 1) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. (x \ 1) * (y * ((x \ 1) \ 1)) = (1 / x) * (y * x). x * y != K(z,z \ 1) * (u * (z \ 1)) | x \ (u * (1 / z)) = y. (x \ 1) \ (y * (1 / x)) = T(K(x,x \ 1) * y,x \ 1). T(K(x,x \ 1) * y,x \ 1) = (x \ 1) \ (y * (1 / x)). (x \ 1) * (y * (1 / x)) = (1 / x) * (y * (x \ 1)). (1 / x) * (y * (x \ 1)) = (x \ 1) * (y * (1 / x)). K(x,x \ 1) * (y * x) != z | T(x,x \ 1) * T(y,x) = z. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). T(x,x \ 1) * y != K(x,x \ 1) * (z * x) | T(z,T(x,x \ 1)) = y. T(x,T(y,y \ 1)) = T(x,y). T(x,(y \ 1) \ 1) = T(x,y). T(x / T(y,y \ 1),y) != z | T(y,y \ 1) \ x = z. T(x,y \ 1) = T(x,1 / y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). x \ y != T(z,(u \ 1) \ 1) | x * T(z,u) = y. ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). (1 / x) \ y = T(y / (1 / x),x \ 1). T(x / (1 / y),y \ 1) = (1 / y) \ x. x \ y != T(z,1 / u) | x * T(z,u \ 1) = y. (1 / x) * T(y,x \ 1) = y * (1 / x). (x * x) * (y * (1 / x)) = x * T(y,x \ 1). x \ y != T(z,1 / (1 / u)) | x * T(z,u) = y. (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). T(x * (y * y),y \ 1) = (1 / y) \ (x * y). (1 / x) * T(T(y,x),x \ 1) != z | (x \ (y * (x \ 1))) * x = z. (x \ (y * (x \ 1))) * x = T(y,x) * (1 / x). (x \ y) * K(x \ 1,(x \ 1) \ 1) = ((x \ 1) \ 1) \ y. ((x \ 1) \ y) * (x \ 1) = ((1 / x) \ y) * (1 / x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). (x \ y) * x = (T(x,x \ 1) \ y) * T(x,x \ 1). (T(x,x \ 1) \ y) * T(x,x \ 1) = (x \ y) * x. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). (x * K(y,y \ 1)) \ z != u | K(y \ 1,y) * (x \ z) = u. K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). x \ 1 != L(y \ 1,z,u) \ K(y \ 1,y) | L(1 / y,z,u) = x. L(1 / x,y,z) = L(x \ 1,y,z) * K(x,x \ 1). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). L(x \ 1,y,z) \ (x \ 1) = (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x). (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). (x / (1 / y)) * z = K(y \ 1,y) * ((x / (y \ 1)) * z). K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). K(x,x \ 1) * (y * (1 / x)) = y * (x \ 1). (x * (y \ 1)) * z = K(y \ 1,y) * ((x * (1 / y)) * z). K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. (x * y) \ (y * x) = K(K(x \ 1,x) * y,(x \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | x \ R(z,u,u) = y. ((x \ 1) \ 1) \ R(y,x,x) = T(y * (x \ 1),x). L(x * ((y \ 1) \ 1),y,y) = y * (y * ((y \ 1) * T(x,y))). x * (x * ((x \ 1) * T(y,x))) = L(y * ((x \ 1) \ 1),x,x). (x * x) \ ((1 / x) \ (y * x)) = x \ ((y * (x * x)) * (x \ 1)). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). x * y != K(z,z \ 1) * (u * (1 / z)) | x \ (u * (z \ 1)) = y. (1 / x) \ (y * (x \ 1)) = (x \ 1) \ (y * (1 / x)). (x \ 1) * (y * (x \ 1)) = (1 / x) * (y * (1 / x)). (1 / x) * (y * (1 / x)) = (x \ 1) * (y * (x \ 1)). K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. x \ y != T((z * u) * (z \ 1),z) | x * R(u,z,z) = y. ((x \ 1) \ 1) * R(y,x,x) = R(x * y,x,x). (x \ 1) \ T(y * (x \ 1),x) = x \ T(y * x,x \ 1). x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). x * y != K(z,z \ 1) * u | x \ (u * K(z,z \ 1)) = y. (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. (x * K(y,y \ 1)) \ (x * (z * K(y,y \ 1))) = z. K(x \ 1,x) * (y \ z) = y \ (K(x \ 1,x) * z). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). K(x,x \ 1) * ((y * (x \ 1)) \ z) != u | (y * (1 / x)) \ z = u. (x * (1 / y)) \ (y \ 1) = (x * (y \ 1)) \ (1 / y). x != K(y \ 1,y) * z | z * K(y \ 1,y) = x. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). R(1 / x,y,z) \ u = K(x \ 1,x) * (R(x \ 1,y,z) \ u). K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). x * (K(y \ 1,y) * z) = K(y \ 1,y) * (x * z). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). a(x * K(y \ 1,y),z,u) = (K(y \ 1,y) * (x * (z * u))) \ (((x * K(y \ 1,y)) * z) * u). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). L(x,y * K(z \ 1,z),u) = (u * (y * K(z \ 1,z))) \ (u * (K(z \ 1,z) * (y * x))). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. T(x,((y * x) / y) \ 1) != z | T(x,y / (y * x)) = z. T(x,y / (y * x)) = (x \ 1) \ 1. T(x,x \ 1) = T(x,y / (y * x)). T(x,y / (y * x)) = T(x,x \ 1). T(1 / (1 / x),y / (y * x)) = x. T(1 / (1 / x),(y / x) / y) = x. (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. x * y != z * (1 / (1 / (z \ (z / u)))) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). L(x,y,y \ 1) / (1 / y) = ((y \ 1) * (y * x)) / (y \ 1). ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). ((1 / x) * (K(x,x \ 1) * y)) / (1 / x) = ((1 / x) * y) / (x \ 1). K(x,y \ 1) / y = (1 / y) * K(x,y \ 1). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. (1 / x) * (((x \ 1) \ y) * (x \ 1)) != z | (x * x) \ T(x * y,x \ 1) = z. (x * x) \ T(x * y,x \ 1) = (x \ 1) * (((x \ 1) \ y) * (1 / x)). (T(x,x \ 1) \ ((x \ 1) \ y)) * T(x,x \ 1) = ((1 / x) \ (x \ y)) * x. L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). x != ((y \ 1) \ 1) \ z | (y \ z) * K(y \ 1,y) = x. (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). x \ (((y \ 1) \ 1) \ x) = ((x \ (y \ x)) \ 1) \ 1. ((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). (1 / x) \ (y * (x \ 1)) != z | x \ T(y * x,x \ (x \ 1)) = z. x \ T(y * x,x \ (x \ 1)) = (x \ 1) \ (y * (1 / x)). x \ y != (1 / z) \ (u * (z \ 1)) | x * ((z \ 1) \ (u * (1 / z))) = y. x * ((x \ 1) \ (y * (1 / x))) = T(y * x,x \ (x \ 1)). x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. (x * y) * K(z,z \ 1) = x * (K(z,z \ 1) * y). K(x,x \ 1) * y = z * (K(x,x \ 1) * (z \ y)). x * (K(y,y \ 1) * (x \ z)) = K(y,y \ 1) * z. a(x,K(y,y \ 1) * z,u) = (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). (x * y) * (1 / y) = x * (a(x,y,1 / y) * K(y,y \ 1)). x * (a(x,y,1 / y) * K(y,y \ 1)) = (x * y) * (1 / y). (x * K(y,y \ 1)) \ z != u | (x * u) * K(y,y \ 1) = z. (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). (x \ y) * K(z \ 1,z) = x \ (K(z \ 1,z) * y). x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). ((x \ 1) \ y) \ z = (((1 / x) \ y) \ z) * K(x \ 1,x). (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). K(x \ 1,x) * (y * z) = z * (K(x \ 1,x) * T(y,z)). x * (K(y \ 1,y) * T(z,x)) = K(y \ 1,y) * (z * x). K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. T(x / y,x \ y) = ((x / y) \ 1) \ 1. x != ((y / z) \ 1) \ 1 | T(y / z,z / y) = x. T(x / y,y / x) = T(x / y,x \ y). T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. x != ((y / (y * z)) \ 1) \ 1 | T(y / (y * z),z) = x. T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). x * y != K(z,z \ 1) * z | x \ T(z,z \ 1) = y. x \ T(y,y \ 1) = K(y,y \ 1) * (x \ y). K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). x \ (K(y,y \ 1) * z) != u | K(y,y \ 1) * (x \ z) = u. (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). x != y \ T(z,z \ u) | y \ ((z \ u) \ u) = x. x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. (x \ y) * K(y,y \ 1) != z | x \ T(y,y \ 1) = z. (x \ ((y \ 1) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). K(x,x \ 1) / y = 1 / (y * K(x \ 1,x)). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. (x * y) \ (K(z,z \ 1) * u) = (x * (y * K(z \ 1,z))) \ u. (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). L(K(x,x \ 1),y,z) = K(x,x \ 1). R(x,y,K(z,z \ 1)) = x. 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). R(x,y,K(1 / z,z)) = x. R(x,y,K(z,1 / z)) = x. R(x,y,K(z \ 1,z)) = x. x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z). (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). R(x,y,K(z,1 / z)) != u | x = u. x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. x / (y * K(z \ 1,z)) = (x * K(z,z \ 1)) / y. (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). R(x,y,K(z \ 1,z)) != u | x = u. x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). x != K(y,y \ 1) | K(y,(z * y) \ z) = x. K(x,(y * x) \ y) = L(K(x,x \ 1),z,u). L(K(x,x \ 1),y,z) = K(x,(u * x) \ u). L(K(x,x \ 1),y,z) != u | K(x,x \ 1) = u. x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). L(x * K(y \ 1,y),z,u) = (u * z) \ (u * (K(y \ 1,y) * (z * x))). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. L(K(x \ 1,x),y,z) = K(x \ 1,x). L(K(x \ 1,x),y,z) != u | K(L(x,y,z) \ 1,x) = u. K(L(x,y,z) \ 1,x) = K(x \ 1,x). L(K(x \ 1,x),x,y) != z | K((y * x) \ y,y \ (y * x)) = z. K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). x != K(y \ 1,y) | K(y,y \ 1) = x. K(x,x \ 1) = K(L(x,y,z) \ 1,x). K(L(x,y,z) \ 1,x) = K(x,x \ 1). K((x * y) \ x,y) = K(y \ 1,y). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K(x \ (x / y),y) = K(y \ 1,y). K(((x * y) / x) \ T(x,y),T(y / x,T(x,y))) = K(T(y / x,T(x,y)) \ 1,T(y / x,T(x,y))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). x \ (y * K(x \ y,y \ x)) = T(x \ y,y \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). x \ (y * K(z,z \ 1)) != u | (K(z \ 1,z) * x) \ y = u. (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). x \ y = (x \ (1 / (1 / y))) * K(y,y \ 1). (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). (x \ y) * z = K(y,y \ 1) * ((x \ (1 / (1 / y))) * z). K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. x * (y * K(1 / z,z)) != (x * y) * u | K(1 / z,z) = u. (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. x * K(y,1 / y) != z | K(y,1 / y) * x = z. K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). x \ (y * K(x \ y,y \ x)) != z | ((x \ y) \ 1) \ 1 = z. R(x,y,K(z,z \ 1)) != u | x = u. T(x,y * K(z,z \ 1)) = T(x,y). T(x,y * K(z \ 1,z)) = T(x,y). T(x,y * T(z,z \ 1)) = T(x,y * z). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,y * ((z \ 1) \ 1)) = T(x,y * z). T(x,K(y,y \ 1) * z) = T(x,z). T(x,y) = T(x,K(z \ 1,z) * y). T(x,K(y \ 1,y) * z) = T(x,z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,((y \ 1) \ 1) * z) = T(x,y * z). T(x,(y \ 1) \ z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,y * (K(z,z \ 1) * u)) = T(x,y * u). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,(1 / (1 / y)) * z) = T(x,y * z). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). T(x,x * T(y,y \ 1)) != z | T(x,(y \ 1) \ x) = z. T(x,(y \ 1) \ x) = T(x,x * y). T(x,y / (y \ z)) = T(x,y * (z \ y)). R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). T(x,y * ((z \ 1) \ u)) = T(x,y * ((1 / z) \ u)). T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). T(x,y * ((1 / z) * u)) = T(x,y * ((z \ 1) * u)). T(x,y * (((1 / z) * u) * w)) = T(x,y * (((z \ 1) * u) * w)). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). T(x,y) != z | T(x,y * K(u,u \ 1)) = z. T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,R(1 / y,y,x)) != z | (y * ((x * (y \ 1)) / x)) * x = z. (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). T(x,R(y,z,u)) = T(x,R((y \ 1) \ 1,z,u)). T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. R(T(x \ 1,x * y),x,y) != z | T((x * y) \ y,x) = z. T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. T((x * y) \ y,x) = (T(x,x \ 1) * y) \ y. (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,(x \ 1) \ 1,y)). T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. T(x,((1 / y) * z) \ u) = T(x,((y \ 1) * z) \ u). T(x,(y * z) \ ((y * y) * u)) = T(x,((y \ 1) * z) \ u). (x \ R(x,y,z)) * u != (x \ 1) * R(x,y,z) | K(x \ 1,R(x,y,z)) = u. K(x \ 1,R(x,y,z)) = K(x \ 1,x). T(x,y * ((((z \ 1) \ 1) * u) \ w)) = T(x,y * ((z * u) \ w)). T(a(x,x,x) * y,x \ 1) = (x \ 1) \ (y * (1 / x)). x \ ((x \ 1) \ (y * (1 / x))) = ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1). ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1) = x \ ((x \ 1) \ (y * (1 / x))). T(x,(y / (1 / z)) * u) = T(x,(y / (z \ 1)) * u). T(x,(y * (z \ 1)) * u) = T(x,(y * (1 / z)) * u). T(x,(y * (1 / z)) * u) = T(x,(y * (z \ 1)) * u). K(x,y) = K(K(y \ 1,y) * x,(y \ 1) \ 1). K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). K(x,(y \ 1) \ 1) = K(K(y,y \ 1) * x,y). K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). T((x \ y) * x,x \ 1) = x \ T(y * x,x \ 1). x * y != z * (((z \ x) \ 1) \ 1) | K((x \ z) \ 1,x \ z) = y. K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). x \ ((x \ 1) \ (y * (1 / x))) = T(T(y,x) / x,x \ 1). x \ T(R(x,y,z),x \ (x \ 1)) = (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)). (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)) = x \ T(R(x,y,z),x \ (x \ 1)). ((1 / x) \ y) \ (x * (((x \ 1) \ 1) \ (z * (1 / (x \ 1))))) = (x \ y) \ T(z * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)). (x \ 1) * (y / (x \ 1)) != z | (1 / x) * (y / (1 / x)) = z. T(x,y * (z * (u * (1 / w)))) = T(x,y * (z * (u * (w \ 1)))). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. T(x,((y \ 1) \ z) \ u) = T(x,((1 / y) \ z) \ u). T(x,((1 / y) \ z) \ u) = T(x,((y \ 1) \ z) \ u). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). x * y != K(z \ 1,z) * (u * x) | T(K(z \ 1,z) * u,x) = y. T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). T(x,y) * K(z \ 1,z) = T(K(z \ 1,z) * x,y). T(K(x \ 1,x) * y,z) = T(y,z) * K(x \ 1,x). T(x,y) = K(z \ 1,z) * T(K(z,z \ 1) * x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). T(x \ 1,y) = T(1 / x,y) * K(x \ 1,x). T(1 / x,y) * K(x \ 1,x) = T(x \ 1,y). T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). T(1 / x,y) * K(x,x \ 1) = T(x \ 1,y). T(1 / x,y) \ z = (T(x \ 1,y) \ z) * K(x \ 1,x). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. T(x \ 1,y) \ z = K(x,x \ 1) * (T(1 / x,y) \ z). K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. T(x,y) * K(z,z \ 1) = T(K(z,z \ 1) * x,y). T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). K(x \ 1,x) * T(K(x,x \ 1) * y,z) != u | (x \ T(x * (y / x),z)) * x = u. (x \ T(x * (y / x),z)) * x = T(y,z). x * y != K(z \ 1,z) * T(K(z,z \ 1) * u,w) | T(u,w) / y = x. T(x,y) / z = z \ T(z * (x / z),y). x \ T(x * (y / x),z) = T(y,z) / x. (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). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). T(x * y,z) / y != u | u = y \ T(y * x,z). T(x * y,z) / y != u | y \ T(y * x,z) = u. T((x \ y) * x,z) = (x \ y) * (T(y,z) / (x \ y)). (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). T(x * ((y / z) / x),z) = x * ((z \ y) / x). x \ T(x * (y / x),z) != u | T(y,z) / x = u. x \ T(x * (y / x),z) != u * w | (T(y,z) / x) / w = u. x * y != (z \ T(u,w)) * z | x \ T((z \ u) * z,w) = y. x \ T((x \ y) * x,z) = T(x \ T(y,z),x). T(x,y) != (z \ z) * T(u,y) | u = x. x = (T(x,y) \ x) * T(x,y). (T(x,y) \ x) * T(x,y) = x. x \ y != T((z \ u) * z,w) | x * ((z \ T(u,w)) * z) = y. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ y) * x,z) != u * x | x \ T(y,z) = u. T((x \ y) * x,y) = (x \ y) * x. T(x,y) = (x \ T(x,y)) * x. (x \ T(x,y)) * x = T(x,y). T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). x / T(x,y) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) != z | L(x,T(x,y) \ x,x) = z. L(x,T(x,y) \ x,x) = x. x != y * T(x,z) | T(x,z) \ x = y. x * T(y,z) != y | T(y,z) \ y = x. x * y = (y * x) * T(K(x,y),y). (x * y) * T(K(y,x),x) = y * x. T(x,x \ T(x,y)) = x. T(x,y) / x = x \ T(x,y). x * y != T(y,R(z,z \ 1,y)) | z \ ((y * z) / y) = x. x \ ((y * x) / y) = y \ T(y,R(x,x \ 1,y)). x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). (T(x / y,z) * y) / x = R((x / y) \ T(x / y,z),x / y,y). R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. T(x,K(y \ (y / (x \ 1)),y)) = x. x * y != T(z,u) \ z | x \ (z / T(z,u)) = y. x \ (x / T(x,y)) = T(x,y) \ 1. x / T(x,y) != z | (1 / T(x,y)) * x = z. (1 / T(x,y)) * x = T(x,y) \ x. x * y != z / T(z,u) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = 1 / T(x,y). (1 / x) * T(x,y) = x \ T(x,y). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x \ y != T(z \ 1,u) / (z \ 1) | x * (z * T(z \ 1,u)) = y. (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. K(x,y) = L(T(x,y) / x,x,y). x != L(T(y,z) / y,y,z) | L(K(y,z),y,1 / y) = x. L(K(x,y),x,1 / x) = K(x,y). K(x \ 1,y) = L(x * T(x \ 1,y),x \ 1,y). L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). x * y != L(K(z,u),z,1 / z) | K(z,u) / y = x. K(x,y) / (x * K(x,y)) = 1 / x. T(x,(y \ x) * y) = x. T(x * y,y * x) = x * y. K(x,y) = T(K(x,y),y). T(K(x,y),y) = K(x,y). (x * K(y,x)) / x = K(y,x). T(x,K(y,x)) = x. x \ y != T(K(z,u),u) | x * K(z,u) = y. x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). x * L(K(y,x),z,u) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = y * L(K(x,y),z,u). T(x,K(y,R(x,z,u))) = x. T(x,K(y,L(x,z,u))) = x. T(x,K(y,T(x,z))) = x. T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * y != z | y * K(x,y) = z. K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). T(x,y * T(y \ 1,x)) = x. T(x,y \ T(y,x)) = x. T(x,x \ ((y * x) / y)) = x. x \ y != T(z,K(u,T(z,w))) | x * z = y. K(x,T(y,z)) * y = y * K(x,T(y,z)). T(x / y,K(z,y \ x)) = x / y. x \ y != T(z,u \ T(u,z)) | x * z = y. (x \ T(x,y)) * y = y * (x \ T(x,y)). (x \ T(x,y)) * T(y,z) = T(y,z) * (x \ T(x,y)). T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). T(x,y) = T(T(x,y),K(z,R(x,u,w))). T(T(x,y),K(z,R(x,u,w))) = T(x,y). (x * K(y,x)) / x != z | L(K(y,x),x,1 / x) = z. L(K(x,y),y,1 / y) = K(x,y). (x * K(T(y,x),x)) / x != z | L((T(y,x) * (y \ x)) / x,x,y) = z. L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). R(K(x,y / z),y / z,z) = (((y / z) * K(x,y / z)) * z) / y. (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). K(x \ y,x) * x != z | (y \ x) * ((x \ T(y,y \ x)) * x) = z. (x \ y) * ((y \ T(x,x \ y)) * y) = y * K(y \ x,y). L(x,K(y,x),z) = ((z * K(y,x)) * x) \ ((z * (x * K(y,x))) * x). ((x * K(y,z)) * z) \ ((x * (z * K(y,z))) * z) = L(z,K(y,z),x). K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. x \ y != T(z,z \ ((u * z) / u)) | x * z = y. (x \ ((y * x) / y)) * x = (y * x) / y. ((x * y) / x) / y = y \ ((x * y) / x). x * y != (z * y) / z | y \ ((z * y) / z) = x. (x * y) / x != z * y | y \ ((x * y) / x) = z. (1 / x) * (x * K(y,x)) = K(y,x). x * y != L(K(z,u),u,1 / u) | x \ K(z,u) = y. (1 / x) \ K(y,x) = x * K(y,x). (((x * y) / x) \ y) \ y = (x * y) / x. T(x,y) \ x != z | x / T(x,y) = z. (T(x,y) \ x) / x != z | T(x,y) \ K(x,x \ 1) = z. T(x,y) \ K(x,x \ 1) = 1 / T(x,y). L(x \ T(x,y),x \ 1,x) = x \ T(x,y). T(x,y) * z != x \ T(x,y) | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = x \ 1. T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(x / (y * x),T(y,z)) = R(y \ 1,y,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). R(x,x \ 1,K(x \ 1,y)) = 1 / (x \ 1). x * y != (1 / z) * (z * K(u,z)) | x \ K(u,z) = y. x \ K(y,x) = (x \ 1) * K(y,x). (x \ 1) * K(y,x) = x \ K(y,x). x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). T(x,y * K(z,y)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). x != T(y \ 1,y) | 1 / y = x. 1 / x = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = 1 / x. T(x,T(1 / x,y)) = T((1 / x) \ 1,1 / x). T((1 / x) \ 1,1 / x) = T(x,T(1 / x,y)). T(x \ 1,T(x,y)) != z | 1 / x = z. T(L(x,y,z) \ 1,L(T(x,u),y,z)) != w | 1 / L(x,y,z) = w. ((1 / x) \ y) * (1 / x) = x \ T(x * y,1 / x). x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). x != y \ T(y * z,u) | (y \ 1) * T((y \ 1) \ z,u) = x. (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. T(x * y,x) / y != z | R((y * x) / y,y,T(x,y)) = z. R((x * y) / x,x,T(y,x)) = x \ T(x * y,y). x \ y != T(z * u,w) / u | x * ((1 / u) * T((1 / u) \ z,w)) = y. x * ((1 / x) * T((1 / x) \ y,z)) = T(x * y,z). T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). T(x \ T(x * y,z),x) != u | x \ T(y * x,z) = u. x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. x * y != T((z \ u) * z,w) / z | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (1 / x) = T((x \ y) / (1 / x),z). T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). x * (((y * x) / y) / x) = (y * x) / y. ((x * y) / x) / y != z | (1 / y) * ((x * y) / x) = z. (1 / x) * ((y * x) / y) = x \ ((y * x) / y). x / ((y * x) / y) = ((y * x) / y) \ x. (((x * y) / x) \ y) * ((x * y) / x) = y. x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x \ y != 1 / x | K(x,x \ 1) = y. K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). K(x,x \ 1) * T(1 / (1 / x),y) = T(x,y). L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x = R(x,x \ 1,K(x \ 1,y)). R(x,x \ 1,K(x \ 1,y)) = x. L(x,y,z) \ ((x \ 1) * L(x,y,z)) = (x \ 1) * K(x \ 1,L(x,y,z)). x \ y != T(z * ((u / w) / z),w) | x * (z * ((w \ u) / z)) = y. x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). T(x,L(K(y,x),z,u)) = x. T(K(x,y),L(y,z,u)) = K(x,y). K(x,y) * R(y,z,u) != R(y,z,u) * w | K(x,y) = w. R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | K(y \ 1,y) = x. K(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = K(x \ 1,x). T(x,1 / x) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,1 / x). x != T(y,1 / z) | T(y,z \ 1) = x. T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). T(x,T(1 / x,y)) != z | R(x,T(1 / x,y),x) = z. R(x,T(1 / x,y),x) = T(x,x \ 1). L(T(x,x \ 1),y,z) \ L(x,y,z) = (L(x,y,z) \ (L(x,y,z) / x)) * x. ((x * y) / x) * z != y \ ((x * y) / x) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. (x \ 1) \ ((y * (x \ 1)) / y) != z | x * ((y * (x \ 1)) / y) = z. T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. T(x,y) * z != T(1 / (1 / x),y) | K(T(x,y) \ 1,T(x,y)) = z. K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). x \ y != K(T(z,u) \ 1,T(z,u)) | x * K(z \ 1,z) = y. (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). x \ y != T(z,u) \ 1 | x * ((1 / T(z,u)) * K(z \ 1,z)) = y. x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. x != T(y,z) \ 1 | y \ (y / T(y,z)) = x. x \ (x / T(x,y)) = K(x \ 1,x) * (1 / T(x,y)). K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. x \ ((y * x) / y) != y \ z | T(y,R(x,x \ 1,y)) = z. L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. K(1 / x,y) = K(x \ 1,y). x != K(y,z) | (z * y) \ (y * z) = x. (x * (y \ 1)) \ ((y \ 1) * x) = K(1 / y,x). K(1 / x,(1 / x) \ (y / x)) != z | (T(y,1 / x) / x) \ (y / x) = z. (T(x,1 / y) / y) \ (x / y) = K(y \ 1,(1 / y) \ (x / y)). K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). K((x \ 1) \ 1,y) != z | T(K(x,y),x) = z. T(K(x,y),x) = K(x,y). K(T(x \ y,y \ x),z) = K(x \ y,z). T(x,K(x,y)) = x. x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * x != z | x * K(x,y) = z. K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). T(x * (y / x),K(y,z)) = x * (y / x). T(K(x,y),T(x,z)) = K(x,y). T(K(x,y),z) = T(T(K(x,y),z),T(x,u)). T(T(K(x,y),z),T(x,u)) = T(K(x,y),z). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. K(1 / x,y) != z | K(x \ 1,y) = z. (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,R(K(x,y),z,u)) = x. (R(K(x,y),z,u) * x) * w != x * R(K(x,y),z,u) | 1 = w. 1 = K(x,R(K(x,y),z,u)). K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). T(K(x,y),R(x,z,u)) = K(x,y). L(x \ T(x * y,y),x,y) = (x * y) / x. L(x \ T(y,z),x,z) != u | (z * x) \ (y * z) = u. (x * y) \ ((y * x) * x) = (y * x) / y. x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). T(x \ y,z) = T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1). T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). T(x * K(y,y \ 1),z) = T(x,z) * K(y,y \ 1). x != T(y,z) / (z \ y) | (y * z) / y = x. (x * y) / x = (y \ x) \ T((y \ x) * y,y). (x \ y) \ T((x \ y) * x,x) = (y * x) / y. T(x \ T(x,y),T(y,z)) = x \ T(x,y). x * y != (1 / z) * T((1 / z) \ u,w) | (z \ T(z * u,w)) / y = x. (x \ T(x * (y * z),u)) / z = ((1 / x) / z) * T(((1 / x) / z) \ y,u). ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). x * y != z * ((1 / z) * T((1 / z) \ u,w)) | x \ T(z * u,w) = y. ((x \ 1) \ 1) \ T(x * y,z) = (x \ 1) * T((1 / x) \ y,z). (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. ((x \ (y / z)) * x) * z != u | ((x \ (y * (z \ 1))) * x) / (z \ 1) = u. ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). x * ((y \ (x \ y)) * y) != z | y * (x * T(x \ 1,y)) = z. (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. K(x \ 1,x) * y != x \ z | (1 / (1 / x)) \ z = y. (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). T((x / y) * K(z,z \ 1),y) = (y \ x) * K(z,z \ 1). (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. ((x \ (y / z)) * x) * z != u | u = z * ((x \ (z \ y)) * x). ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. x * K(y \ 1,y) != z \ y | z \ ((y \ 1) \ 1) = x. T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) != z | x * K(y \ (1 / (1 / x)),y) = z. x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). T(x,(y * z) \ (y * y)) = T(x,((y \ 1) * z) \ 1). T(x,((y \ 1) * z) \ 1) = T(x,(y * z) \ (y * y)). (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. T(x \ 1,y) \ x = T(1 / x,y) \ ((x \ 1) \ 1). T(1 / x,y) \ ((x \ 1) \ 1) = T(x \ 1,y) \ x. x * (y \ T(y * (x \ z),x)) != u | ((x \ (z / (y \ 1))) * x) * (y \ 1) = u. ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). T(x,T(y \ z,u)) = T(x,T(((y \ 1) \ 1) \ z,u)). T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T((1 / y) \ z,u)). T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). T((x / y) * K(z,z \ 1),y) != u * K(z,z \ 1) | y \ x = u. x * L(T(y,x),x,x) = L(y * ((x \ 1) \ 1),x,x). L(x * ((y \ 1) \ 1),y,y) = y * L(T(x,y),y,y). L(x,y,y) * y = L(x * ((y \ 1) \ 1),y,y). L(x * ((y \ 1) \ 1),y,y) = L(x,y,y) * y. x * y != z * L(T(u,z),z,z) | x \ L(u * ((z \ 1) \ 1),z,z) = y. (1 / x) \ L(y * ((x \ 1) \ 1),x,x) = x * ((x \ 1) \ L(T(y,x),x,x)). T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) != u | T(x,z) / y = u. (x * x) \ ((y / x) \ z) != u | (y / (1 / x)) \ z = u. (1 / (1 / x)) \ (y * x) = x \ ((y * (x * x)) * (x \ 1)). x \ ((y * (x * x)) * (x \ 1)) = (1 / (1 / x)) \ (y * x). x \ ((y * (x * x)) * (x \ 1)) = ((x \ 1) \ 1) \ (y * x). x \ (y * ((x * x) * (x \ 1))) = ((x \ 1) \ 1) \ (y * x). x \ (y * ((x \ 1) \ 1)) = ((x \ 1) \ 1) \ (y * x). ((x \ 1) \ 1) \ (y * x) = x \ (y * ((x \ 1) \ 1)). (x * K(y \ z,z \ y)) * (x \ 1) != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). T(x,y * (z * ((1 / u) * w))) = T(x,y * (((u \ 1) * w) * T(z,(1 / u) * w))). T(x,y * (((z \ 1) * u) * T(w,(1 / z) * u))) = T(x,y * (w * ((1 / z) * u))). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). x != (y \ 1) * T((1 / y) \ z,y) | (y \ z) * y = x. (x \ y) * x = ((x \ 1) \ 1) \ T(x * y,x). ((x \ 1) \ 1) \ T(x * y,x) = (x \ y) * x. (x \ y) * ((z \ ((x \ y) \ y)) * z) != u | ((z \ x) * z) * (x \ y) = u. ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) != u | x \ ((y \ (x * z)) * y) = u. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. ((x \ 1) \ 1) \ T(x * y,x \ 1) = ((x \ 1) \ y) * (1 / x). L(K(x,y),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). x \ (x * K(x,y)) = L(K(x,y),x \ 1,x). L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). x \ K(x,y) != z * K(x,y) | x \ 1 = z. (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). T(x \ 1,L(x,y,z)) = (x \ 1) * K(x \ 1,L(x,y,z)). (x \ 1) * K(x \ 1,L(x,y,z)) = T(x \ 1,L(x,y,z)). (x \ 1) * y != T(x \ 1,z) | x * T(x \ 1,z) = y. x * T(x \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). L(K(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). K(x \ 1,x) = K(x \ 1,L(x,y,z)). K(x \ 1,L(x,y,z)) = K(x \ 1,x). L(x,y,z) != K(u \ 1,u) | K(u \ 1,u) = x. K(L(x,y,z) \ 1,L(x,y,z)) = K(x \ 1,L(x,y,z)). L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u * K(z \ 1,z),y,x) = w. L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). x != y * K(z \ 1,z) | K(z \ 1,z) * y = x. K(x \ 1,x) * L(y,z,u) = L(y * K(x \ 1,x),z,u). L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). x != K(y \ 1,y) * L(z,y,y \ 1) | (y \ 1) * (y * z) = x. (x \ 1) * (x * y) = L(y * K(x \ 1,x),x,x \ 1). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). L(x,y,z) = K(u \ 1,u) * L(x * K(u,u \ 1),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). K(x,x \ 1) * (y / z) = y / (z * K(x \ 1,x)). x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). x \ y != K(z,z \ 1) * (u / (w * v5)) | x * (u / (w * (v5 * K(z \ 1,z)))) = y. K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). K(x \ 1,x) * (y / z) = y / (K(x,x \ 1) * z). x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). x / T(y,z) = K(y \ 1,y) * (x / T(1 / (1 / y),z)). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). T(x,x \ (L(x \ 1,y,z) \ 1)) = (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)). (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). T(x,R(K(y,y \ 1) / z,u,w)) != v5 | T(x,R(z \ 1,u,w)) = v5. T(x,R(y \ 1,z,u)) = T(x,R(y \ K(w,w \ 1),z,u)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). x != y \ ((y \ 1) \ (z * (1 / y))) | T(T(z,y) / y,y \ 1) = x. T(T(x,y) / y,y \ 1) = ((1 / (y \ 1)) \ ((y \ 1) \ x)) * (y \ 1). ((1 / (x \ 1)) \ ((x \ 1) \ y)) * (x \ 1) = T(T(y,x) / x,x \ 1). (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)) = x \ R(T(x,x \ (x \ 1)),y,z). L(T(x,x \ 1),y,z) \ L(x,y,z) = T(1 / x,L(x,y,z)) * x. x * T(x \ 1,L(x,y,z)) = L(T(x,x \ 1),y,z) \ L(x,y,z). L(T(x,x \ 1),y,z) \ L(x,y,z) = x * T(x \ 1,L(x,y,z)). x != y * T(y \ 1,L(y,z,u)) | K(y \ 1,L(y,z,u)) = x. K(x \ 1,L(x,y,z)) = L(T(x,x \ 1),y,z) \ L(x,y,z). L(T(x,x \ 1),y,z) \ L(x,y,z) = K(x \ 1,L(x,y,z)). x != K(y \ 1,L(y,z,u)) | K(L(y,z,u) \ 1,L(y,z,u)) = x. K(L(x,y,z) \ 1,L(x,y,z)) = L(T(x,x \ 1),y,z) \ L(x,y,z). L(T(x,x \ 1),y,z) \ L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). x \ y != K(y \ 1,y) | (y \ 1) \ 1 = x. (L(x,y,z) \ 1) \ 1 = L(T(x,x \ 1),y,z). L(T(x,x \ 1),y,z) = (L(x,y,z) \ 1) \ 1. L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. L(x \ 1,y,z) = (L(1 / x,y,z) \ 1) \ 1. (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). x != (y \ 1) \ 1 | L(y,y,y) = x. L(L(x,y,z),L(x,y,z),L(x,y,z)) = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) \ 1 = 1 / L(x,y,z). L(1 / (1 / x),y,z) = (L(x,y,z) \ 1) \ 1. 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). L(x \ 1,y,z) \ 1 = 1 / L(1 / x,y,z). 1 / L(1 / x,y,z) = L(x \ 1,y,z) \ 1. T(x,L(y \ 1,z,u) * w) = T(x,L(1 / y,z,u) * w). T(x,L(1 / y,z,u) * w) = T(x,L(y \ 1,z,u) * w). (x \ 1) * (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) = L(1 / L(x,y,z),x,x). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). 1 / L(x \ 1,y,z \ 1) = L(1 / x,y,z) \ 1. L(L(x \ 1,y,z) \ u,L(x,y,z),L(x,y,z)) = (L(1 / x,y,z) \ 1) * u. L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). L(x,L(1 / y,z,u),w) != v5 | L(x,L(y,z,u),w) = v5. L(L(1 / x,y,z),L(x,y,z),L(1 / x,y,z)) = L(((1 / x) \ 1) \ 1,y,z). x * y != L(1 / (1 / (z \ u)),z,1 / z) | x \ (1 / (1 / ((1 / z) * u))) = y. (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. (1 / x) \ L(y * ((x \ 1) \ 1),x,x) = x * (L(x,x,x) * T(y,x)). L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). (x * ((y / z) / x)) * z != u | z * (x * ((z \ y) / x)) = u. (x * y) * (z * (((x * y) \ x) / z)) = (x * y) * (z * (L(y \ 1,y,x) / z)). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (x \ 1) * (L(x,y,z) \ x) = L(1 / L(x,y,z),x,x). L(x,y,z) \ 1 = L(1 / L(x,y,z),x,x). L(1 / L(x,y,z),x,x) = L(x,y,z) \ 1. L(L(x \ 1,y,z) \ (u \ w),L(x,y,z),u) != v5 | (u * L(x \ 1,y,z)) \ w = v5. (L(x,y,z) * L(x \ 1,y,z)) \ u = (L(1 / x,y,z) \ 1) * (L(x,y,z) \ u). (L(1 / x,y,z) \ 1) * (L(x,y,z) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. L(L(1 / x,y,z),L(x,y,z),L(1 / x,y,z)) = L(x \ 1,y,z). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. x * (y * ((x \ (y \ 1)) * x)) = (((x \ (1 / y)) * x) * y) * x. (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). x != y * z | R(y,z,z \ 1) / (z \ 1) = x. R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. R((x \ (y / (1 / z))) * x,z \ 1,z) != u | (x \ (y * z)) * x = u. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x * y != z * (z \ u) | u / y = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. x \ ((y * x) / y) = y \ T(y,x). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). x * (y \ T(y,x)) != z | (y \ T(y,x)) * x = z. (x \ T(x,y)) * y = (x * y) / x. x * y != (z * x) / z | ((z * x) / z) / x = y. ((x * y) / x) / y = x \ T(x,y). (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). ((x * y) / x) * (y \ 1) = x \ T(x,y). T(x,R(y,y \ 1,x)) = T(x,y). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). L(x \ T(x,y),y,x) = K(x,(x * y) / x). (x \ T(x,y)) * x = T(x,R(y,y \ 1,x)). T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. x * K(x,y / x) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = x * K(x,y / x). R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. ((1 / (x * y)) \ T(1 / (x * y),x)) * x = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. L(x \ T(x,T(y,x)),T(y,x),x) = K(x,y). K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). T(x,R(y,y \ 1,x)) != z | T(x,y) = z. K(x,y) != z | T(K(x,y),x) = z. K(x,(x / y) / x) = x \ T(x,y \ 1). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). 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). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). (x * (y * K(z \ 1,z))) \ u != w | (x * y) \ (K(z,z \ 1) * u) = w. (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. x != (((y \ (1 / z)) * y) * z) * y | y * (z * ((y \ (z \ 1)) * y)) = x. x * (y * ((x \ (y \ 1)) * x)) = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). ((1 / x) * y) / (1 / x) != z | ((x \ 1) * y) / (x \ 1) = z. (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). x != (y * z) \ (y * (z * u)) | L(u,z,y) = x. L(x,y,z) = L(x,y * K(u \ 1,u),z). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). L(x,T(y,z) \ u,w) = L(x,T((y \ 1) \ 1,z) \ u,w). L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x,y,z) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(T(x \ 1,y),z,u) = a(T(1 / x,y),z,u). a(T(1 / x,y),z,u) = a(T(x \ 1,y),z,u). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). (x * K(y \ 1,y)) * K(y,y \ 1) != z | x = z. a(x,y,z) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). a(x,y,K(z,z \ 1) * u) != w | ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = w. ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,y,z) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,y,z) = a(x,y * K(u \ 1,u),z). a(x,y * K(z \ 1,z),u) = a(x,y,u). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x != K(y \ z,T(y / z,T(z,y))) | K(y \ z,z \ y) = x. K(x \ y,y \ x) = K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). K(T(x,y) \ 1,T(x,y)) != z | K(x \ 1,x) = z. K((x / y) \ 1,x / y) = K(x \ y,y \ x). K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. K(x / y,(x / y) \ 1) = K(y \ x,x \ y). x \ y != K((z / u) \ 1,z / u) | x * K(z \ u,u \ z) = y. (x / y) * K(x \ y,y \ x) = 1 / (1 / (x / y)). x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). x * K(y \ 1,y) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). x \ (y * L(y \ (x * (x \ (y * L(y \ x,z,u)))),w,v5)) = (x \ y) * L(L((x \ y) \ 1,z,u),w,v5). T(((x * x) * y) \ L((x * x) * y,z,u),x * x) = (y * (x * x)) \ L(y * (x * x),z,u). (x * x) \ (y \ L(y * (x * x),z,u)) = T(((x * x) * y) \ L((x * x) * y,z,u),x * x). T(((x * x) * y) \ L((x * x) * y,z,u),x * x) = (x * x) \ (y \ L(y * (x * x),z,u)). x != (y * y) \ (z \ L(z * (y * y),u,w)) | z \ L(z,u,w) = x. x \ L(x,y,z) = T(((u * u) * x) \ L((u * u) * x,y,z),u * u). T(((x * x) * y) \ L((x * x) * y,z,u),x * x) = y \ L(y,z,u). T(x \ ((y * y) \ L((y * y) * x,z,u)),y * y) = x \ L(x,z,u). T(x \ L(x,y,z),u * u) = x \ L(x,y,z). (x * x) * ((y \ L(y,z,u)) * w) = (y \ L(y,z,u)) * ((x * x) * w). (x \ L(x,y,z)) * ((u * u) * w) = (u * u) * ((x \ L(x,y,z)) * w). (x \ L(x,y,z)) \ ((u * u) * w) = (u * u) * ((x \ L(x,y,z)) \ w). x != (L(y,z,u) * L(y,z,u)) * ((y \ L(y,z,u)) \ w) | (L(y,z,u) \ (y \ 1)) \ w = x. (L(x,y,z) \ (x \ 1)) \ u = (x \ L(x,y,z)) \ ((L(x,y,z) * L(x,y,z)) * u). (x \ L(x,y,z)) \ ((L(x,y,z) * L(x,y,z)) * u) = (L(x,y,z) \ (x \ 1)) \ u. (x \ L(x,y,z)) \ ((L(x,y,z) * L(x,y,z)) * u) != w \ u | L(x,y,z) \ (x \ 1) = w. L(x \ 1,y,z) * (L(L(x \ 1,u,w),v5,v6) \ v7) = L(x,y,z) * (L(L(x,u,w),v5,v6) \ v7). x \ (y * L(L(y \ x,z,u),w,v5)) = (x \ y) * L(L((x \ y) \ 1,z,u),w,v5). (x \ y) * L(L((x \ y) \ 1,z,u),w,v5) = x \ (y * L(L(y \ x,z,u),w,v5)). x * L(L(x \ 1,y,z),u,w) != v5 | x \ L(L(x,y,z),u,w) = v5. (x \ y) \ L(L(x \ y,z,u),w,v5) = x \ (y * L(L(y \ x,z,u),w,v5)). x != a(y,z,(u * u) * w) | a(y,z,w) = x. a(x,y * (z / u),w) = (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)). (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / u))) * ((u * u) * w)) = a(x,y * (z / u),w). (x * ((y * (z / (1 / u))) * w)) \ ((x * (y * (z / (1 / u)))) * w) = a(x,y * (z / u),w). a(x,y * (z / (1 / u)),w) = a(x,y * (z / u),w). (x * ((y \ z) * T((y \ z) \ 1,z))) * z = (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z). (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * ((y \ z) * T((y \ z) \ 1,z))) * z. (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * (y \ ((z \ y) * z))) * z. (x * (y \ z)) * ((z \ L(T(y,y \ z),y \ z,x)) * z) = (x * K(z \ y,z)) * z. (x * (y \ z)) * L((z \ T(y,y \ z)) * z,y \ z,x) = (x * K(z \ y,z)) * z. x * ((y \ z) * ((z \ T(y,y \ z)) * z)) = (x * K(z \ y,z)) * z. x * (y * K(y \ z,y)) = (x * K(y \ z,y)) * y. (x * K(y \ z,y)) * y = x * (y * K(y \ z,y)). (x * K(y,z)) * z = x * (z * K(z \ (z * y),z)). x * (y * K(y \ (y * z),y)) = (x * K(z,y)) * y. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). (x * y) / (y * K(z,y)) = x / K(z,y). (x * (y * K(z,y))) \ ((x * (y * K(z,y))) * y) = L(y,K(z,y),x). L(x,K(y,x),z) = x. L(T(x,y),K(z,x),u) = T(x,y). (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). R(x,K(y,z),T(z,u)) = x. R(x,K(y,z),T(z,u)) != w | x = w. R(x,K(y,z),z) = x. (x * y) \ ((y * x) * x) = K(y,x) * x. (x * y) \ ((y * x) * x) != z | (y * x) / y = z. (x * y) / x = K(x,y) * y. x \ ((y * x) / y) = K(y,x). K(x,y) = y \ ((x * y) / x). x / y = K(y,y \ x) * (y \ x). K(x,x \ y) * (x \ y) = y / x. x != K(y,z) * z | z * K(y,z) = x. x * K(y,x) = (y * x) / y. (x * y) / x = y * K(x,y). x * y != (z * ((u * w) / u)) / z | ((u * ((z * w) / z)) / u) / y = x. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). x * y != (z * y) / z | z \ T(z,y) = x. x \ T(x,y) = K(x,y). K(x,y) = x \ T(x,y). T(K(x,y) * y,x) = y. ((x * y) / x) / y != z | z = K(x,y). ((x * y) / x) / y != z | K(x,y) = z. (x * y) / x != z | y * K(x,y) = z. T(K(x,y),x) = x \ T(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) | ((y * z) / y) * (z \ 1) = x. ((x * y) / x) * (y \ 1) = K(x,y). K(x,y) = ((x * y) / x) * (y \ 1). x != y \ T(y,z) | (1 / y) * T(y,z) = x. (1 / x) * T(x,y) = K(x,y). K(x,y) = (1 / x) * T(x,y). x != y \ T(y,z) | T(y,z) / y = x. T(x,y) / x = K(x,y). K(x,y) = T(x,y) / x. x != y \ T(y,z) | T(y,z) * (y \ 1) = x. T(x,y) * (x \ 1) = K(x,y). K(x,y) = T(x,y) * (x \ 1). x != (y \ 1) \ T(y \ 1,z) | y * T(y \ 1,z) = x. x * T(x \ 1,y) = K(x \ 1,y). x != (1 / y) \ T(1 / y,z) | y * T(y \ 1,z) = x. x * T(x \ 1,y) = K(1 / x,y). x \ y != z \ T(z,u) | x * K(z,u) = y. T(x,y) * K(y,T(x,y)) = x. x * K(x,y) = T(x,y). T(x,y) = x * K(x,y). x * y != z \ T(z,u) | x \ K(z,u) = y. x \ K(y,x \ 1) = (y * (x \ 1)) / y. ((x * y) / x) \ K(x,y) = y \ 1. (1 / x) \ K(x,y) = T(x,y). T(x,y) = (1 / x) \ K(x,y). x \ K(x \ 1,y) = T(x \ 1,y). x \ y != K(1 / z,u) | x * K(z \ 1,u) = y. (1 / x) * K(x \ 1,y) = T(1 / x,y). K(L(x,y,z),u) = L(x,y,z) \ L(T(x,u),y,z). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). K(R(x,y,z),u) = R(x,y,z) \ R(T(x,u),y,z). R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). K(x,y) != x \ z | T(x,y) = z. x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. x * K(x,y) != z * u | z \ T(x,y) = u. x * (y * T(K(y,x),z)) = (x * y) * T(K(y,x),z). (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). K(x,x * (y \ 1)) = x \ T(x,y \ x). L(x,y,K(z * z,u)) != w | L(x,y,T(z * z,u)) = w. K(x,1 / y) = x \ T(x,y \ 1). x \ T(x,y \ 1) = K(x,1 / y). K(x,y * K(z,z \ 1)) = x \ T(x,y). K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * x != z | T(x,y) = z. (x * K(y,x)) * y = y * x. (x \ y) * K(x,x \ y) = y / x. T(x * K(y,x),y) = x. T(1 / x,y) * x = K(x \ 1,y). K(R(x,y,z),u) = R(T(x,u),y,z) / R(x,y,z). R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). x \ (y * x) = y * K(y,x). x \ y != z * K(z,u) | x * T(z,u) = y. x * T(y,z) = (x * y) * L(K(y,z),y,x). (x * y) * L(K(y,z),y,x) = x * T(y,z). x * y != z * K(z,u) | T(z,u) / y = x. T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). T(x,1 / y) != z | T(x,y \ 1) = z. T(x,y \ 1) = x * K(x,1 / y). x * K(x,1 / y) = T(x,y \ 1). T(x,y) != x * z | K(x,y) = z. x \ T(x,y) != z | K(x,y) = z. R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. T(x,y) * L((x * K(x,y)) \ z,u,w) = x * (K(x,y) * L(K(x,y) \ (x \ z),u,w)). x * (K(x,y) * L(K(x,y) \ (x \ z),u,w)) = T(x,y) * L((x * K(x,y)) \ z,u,w). T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. T(T(x,y),z) = K(T(x,z),y) * T(x,z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). L(T(x,y),z,u) = K(L(x,z,u),y) * L(x,z,u). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x \ y != T(z,u) | x * (K(z,u) * z) = y. x * (K(y,x) * y) = y * x. L(x,K(x,y),z) = (z * K(x,y)) \ (z * T(x,y)). (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). T(x,y) / x != z | z = K(x,y). T(x,y) / x != z | K(x,y) = z. L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. T(x,y) != z | x * K(x,y) = z. T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). 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 * K(y,x)) \ (y * x) = y. x * T(y,z) = T(y * K(x,y),z) * x. T(x * K(y,x),z) * y = y * T(x,z). x * L(y,z,u) = L(y * K(x,y),z,u) * x. L(x * K(y,x),z,u) * y = y * L(x,z,u). x * 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). L(x,y,x * K(y,x)) = T(x * K(y,x),(x * K(y,x)) * y). T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). (x * y) * R(z,x,y) = ((z * K(x * y,z)) * x) * y. ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. x * ((y \ z) * y) = ((y \ (z * K(x,z))) * y) * x. ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). x != y \ ((z * y) / z) | (1 / y) * ((z * y) / z) = x. (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). K(x,x \ y) = (x \ y) \ (y / x). (x \ y) \ (y / x) = K(x,x \ y). K(x / y,y) = y \ (x / (x / y)). x \ (y / (y / x)) = K(y / x,x). x * K(y,x) != z | z = (y * x) / y. x * K(y,x) != z | (y * x) / y = z. x * (y * K(z,y)) = x * ((z * y) / z). x * ((y * z) / y) = x * (z * K(y,z)). x * (T(x,y) \ K(z,x)) != u | T(x,y) \ ((z * x) / z) = u. x * L(x \ K(y,x),z,u) = x \ L((y * x) / y,z,u). x \ L((y * x) / y,z,u) = x * L(x \ K(y,x),z,u). ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). x != (1 / y) * K(z,1 / y) | K(z,1 / y) / y = x. K(x,1 / y) / y = (x * (1 / y)) / x. x * y != z * K(u,z) | x \ ((u * z) / u) = y. (x * y) \ ((x * y) / x) = L(x \ 1,x,y). ((x \ 1) * (x * y)) / (x \ 1) != z | L(y,x,x \ 1) / (1 / x) = z. L(x,y,y \ 1) / (1 / y) = (y * x) * K(y \ 1,y * x). (x * y) * K(x \ 1,x * y) = L(y,x,x \ 1) / (1 / x). (x * y) / (z * z) != u | x * (y / (z * z)) = u. (x * x) * (y / (x * x)) = y * K(x * x,y). (x * y) / x != y * z | K(x,y) = z. T(x,y) * K(y,T(x,y)) != z | x = z. T(x * K(y,x),y) != z | z = x. ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). (x \ y) * K(x,x \ y) != z | y / x = z. R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). T(x * K(y,x),x * y) = L(x,y,x). (x * T(y,z)) / x = T(y * K(x,y),z). T(x * K(y,x),z) = (y * T(x,z)) / y. T(T(x * K(y,x),z),y) != u | T(x,z) = u. R(x,y,x) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,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. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). ((x * y) / x) \ ((z * y) * K(x,y)) = R(T(z,y * K(x,y)),y,K(x,y)). R(T(x,y * K(z,y)),y,K(z,y)) = ((z * y) / z) \ ((x * y) * K(z,y)). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). (x \ 1) * L((x \ 1) \ K(y,x),z,u) = x \ L((y * x) / y,z,u). x \ L((y * x) / y,z,u) = (x \ 1) * L((x \ 1) \ K(y,x),z,u). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). (x * K(x * y,x)) * y = T(x * y,x). (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. L(T(x * K(y * z,x),z),z,y) = (y * (x * z)) / (y * z). ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). L(x,y,x) = (y * K(x,y)) \ ((x * (y * x)) / x). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). (x * y) / ((z * y) / z) = x / K(z,y). K(1 / x,y) / x = T(1 / x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. K(x,y) \ (T(x,y) * ((T(x,y) \ 1) \ z)) = ((T(x,y) \ 1) * (x \ 1)) \ z. K(x,y) != z | x \ T(x,y) = z. x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | R(z,y,R(z,u,w)) = x. R(x,y,R(x,z,u)) = T(x,y) * K(y * R(x,z,u),T(x,y)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). (x \ K(y,x \ 1)) * y = y * (x \ 1). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. x \ L(x,x,x) != y | K(x,x * x) = y. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. (x \ 1) * T((x \ 1) \ 1,y) != z | K(x,y) = z. T(x,y) * (x \ 1) != z | K(x,y) = z. x * T(x \ 1,y) != z | K(x \ 1,y) = z. T(K(x,y),x) != z | K(x,y) = z. K((x \ 1) \ 1,y) != z | K(x,y) = z. K(x \ y,y) = (x * T(x \ y,y)) * (y \ 1). (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). K(x \ (x / y),x) = K(y \ 1,x). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). x * T(x \ 1,y * x) != z | K((y * x) \ y,y * x) = z. K((x * y) \ x,x * y) = K(y \ 1,x * y). L(x,y,z) * T(L(x,y,z) \ 1,u) != w | L(x * T(x \ 1,u),y,z) = w. L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x / y) * T((x / y) \ 1,z) != u | (x * T(x \ y,z)) / y = u. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). x \ y != z * T(z \ 1,u) | x * K(z \ 1,u) = y. x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). x * y != z * T(z \ 1,u) | x \ K(z \ 1,u) = y. x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). K((x / y) \ 1,z) * y = x * T(x \ y,z). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * K(y \ 1,z)) * y = (x * y) * (y * T(y \ 1,z)). (x * y) * (y * T(y \ 1,z)) = (x * K(y \ 1,z)) * y. x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. (x * T(x \ y,z)) / y = K(1 / (x / y),z). (x / y) \ K(y,y \ x) = (y \ x) \ 1. K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,(x / y) / x) = K(x,1 / y). x * y != z \ T(z,u \ 1) | x \ K(z,1 / u) = y. x \ K(y,1 / x) = (y * (x \ 1)) / y. K(x,1 / y) != z | K(x,y \ 1) = z. K(x,y) = K(x,(y \ 1) \ 1). K(x,(y \ 1) \ 1) = K(x,y). K(x,1 / (1 / y)) = K(x,y). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). K(x,(y \ 1) \ 1) != z | K(K(y,y \ 1) * x,y) = z. K(K(x,x \ 1) * y,x) = K(y,x). K(x,T(y,1 / y)) = K(x,y). K(x,T(y / z,z / y)) = K(x,y / z). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). K(x,T(y / z,y \ z)) = K(x,y / z). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). K(x,L(y \ 1,z,u)) = K(x,L(1 / y,z,u)). K(x,L(1 / y,z,u)) = K(x,L(y \ 1,z,u)). x * y != K(((z * u) \ z) \ 1,u) | 1 / y = x. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). x * y != T(x,(z \ x) \ 1) | K(x,z / x) = y. K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). T(x,y \ 1) != z | T(x,1 / y) = z. R(x,y,z * K(y,z)) = ((x * y) * (z * K(y,z))) / (T(y,z) * z). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). L((x * K(y,x)) \ z,x * K(y,x),y) = (T(y,x) * x) \ (y * z). x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). x * (y / x) = T(x,x \ y) * (x \ y). T(x,x \ y) * (x \ y) = x * (y / x). x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). T((x * y) / x,z) = T(y * K(x,y),z). T(x,y) != T(z,u) | x = T(z * K(y,z),u). T(x,y) != T(z,u) | T(z * K(y,z),u) = x. L(x,y,T(z,u)) = L(x,y,T(z * K(w * w,z),u)). L(x,y,T(z * K(u * u,z),w)) = L(x,y,T(z,w)). T((x \ (1 / x)) * y,x \ (x \ 1)) = K(x,x \ 1) * (y / (x * x)). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). (x / y) * K(((x / y) \ (1 / y)) \ 1,z) != u | T(x,z) / y = u. x \ y != K(z,(z / u) / z) | x * K(z,1 / u) = y. (x / y) * K(x,1 / y) = x * ((x / y) / x). x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). T(x,y) * (x \ y) = (x * y) / x. T(x,x * y) * y = (x * (x * y)) / x. (x * (x * y)) / x = T(x,x * y) * y. x * y != z * ((z * y) / z) | T(z,z / (z / y)) = x. T(x,x / (x / y)) = T(x,y). L(x,T(y,z) * (y * ((y * z) / y)),u) = L(x,L(z,T(y,z),T(y,z)),u). L(x,L(y,T(z,y),T(z,y)),u) = L(x,T(z,y) * (z * ((z * y) / z)),u). T(x,x / (x / T(y,x))) != z | (x / T(y,x)) * y = z. (x / T(y,x)) * y = T(x,T(y,x)). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x,x / y) = T(x,y \ x). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(x,y * x) = T(x,(y \ 1) \ x). T(x,(y \ 1) \ x) = T(x,y * x). x * y != T(z,z / u) | T(z,u \ z) / y = x. T(x,y \ x) / y = (x * (x / y)) / x. x * y != T(z,z / u) | x \ T(z,u \ z) = y. x \ T(y,x \ y) = (y * (x \ y)) / y. T(T(x,y \ x) / y,x) = x / y. T(x,T(y,y \ x)) = T(x,y). T(x * y,T(x,y)) = T(x * y,x). T(x,y) * z != (x * y) / x | T(y / x,T(x,y)) = z. T(x / y,T(y,x)) = y \ x. T(x,y * x) * z != (x * (y * x)) / x | T(y,T(x,y * x)) = z. T(x,T(y,x * y)) = y \ (x * y). T(x,x \ y) \ (y / x) = x \ (x \ y). T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. L(((x * y) / x) / y,y,x) = K(T(x,y),y). T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). K(x \ y,T(x,y)) = y \ (x * T(x \ y,T(x,y))). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). x * y != T(z,T(x,z)) | T(z / T(x,z),x) = y. T(x / T(y,x),y) = T(y,x) \ x. x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x,(y \ 1) \ x) != z | T(x,x * y) = z. T(x,x * y) = T(x,y * x). T(x,y * x) = T(x,x * y). x != T(y,y * z) | T(L(y,z,y),z) = x. T(L(x,y,x),y) = T(x,y * x). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). x \ y != T(z,u * z) | x * T(z,z * u) = y. x * T(y,y * x) = (y * (x * y)) / y. (x * (y * x)) / x = y * T(x,x * y). T(x,(x \ y) * x) = T(x,y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(T(x,y * x),z) = T(T(x,z),x * y). x * T(y,x * y) = L(y,x,y) * x. T(x,y * x) != T(z,y) | L(x,y,x) = z. R(T(x,x * y),y,x) = T(x,y). K(x,x * y) = T(x,y * x) * (x \ 1). T(x,y * x) * (x \ 1) = K(x,x * y). R(T(x,y),x \ y,x) = T(x,x \ y). T(x,T(y * x,z)) = T(x,T(x * y,z)). T(x * K(y,x),y * x) = L(x,y,x). x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. T(x,y) = T(x,T(y,x * y)). T(x,T(y,x * y)) = T(x,y). T(x,T(x \ y,y)) = T(x,x \ y). T(x,T(y,y * x)) = T(x,y). T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. x \ y != T(z \ u,T(z,u)) | x * T(z \ u,z) = y. T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. (x * x) * (y / (x * x)) != z | y * K(x * x,y) = z. K(x \ 1,y) != z | K(1 / x,y) = z. K(x,y) != z | K(x,(y \ 1) \ 1) = z. L(x,y,(y * x) / y) = L(x,y,x). x * T(y,x * y) != z | (y * (x * y)) / y = z. (x * (y * x)) / x = L(x,y,x) * y. x * y != z * T(u,z * u) | ((u * (z * u)) / u) / y = x. ((x * (y * x)) / x) / y = L(x,y,x). x * y != z * T(u,z * u) | x \ ((u * (z * u)) / u) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. L(x,y,x * K(y,x)) = L(x,y,x). (x \ y) \ y = R(T(x,y),x \ y,x). R(T(x,y),x \ y,x) = (x \ y) \ y. T((x * y) / x,L(x,y,x)) = y. x * y != L(z,u,z) * u | ((z * (u * z)) / z) / y = x. ((x * (y * x)) / x) / T(x,x * y) = y. T(L(x,y,x) * y,x) = y * x. (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). x \ y != T(z,L(u,z,u)) | x * T(z,u) = y. L(x,y,x) * T(y,x) = y * L(x,y,x). R(L(x,y,x),y,x) = x. L(R(x,y,x),y,x) = x. x \ T(y * x,y) = R(y,x,y). L(x,y,z) != z | R(z,y,T(z,y)) = x. R(x,y,T(x,y)) = R(x,y,x). L(x,y,z) = L(L(R(x,u,x),y,z),u,x). L(L(R(x,y,x),z,u),y,x) = L(x,z,u). x * R(y,x,y) = T(y * x,y). x \ T(y * x,z) != u | T(x \ T(x * y,z),x) = u. T(x \ T(x * y,y),x) = R(y,x,y). ((x \ 1) * y) \ T(z,x) != u | (x * y) \ ((1 / x) \ (z * x)) = u. (x * y) \ ((1 / x) \ ((x * ((x \ 1) * y)) * x)) = R(x,(x \ 1) * y,x). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,x). (x * y) \ T(L(y,x,x),1 / x) = R(1 / x,x * y,1 / x). L(R(x,y,x),y,z) = (z * y) \ (z * T(x * y,x)). (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | R(y,x,y) = z. x * R(L(y,y,y),x,L(y,y,y)) = T(T(y,y \ 1) * x,L(y,y,y)). T(T(x,x \ 1) * y,L(x,x,x)) = y * R(L(x,x,x),y,L(x,x,x)). T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). (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 * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). x \ y != z * ((u * (z \ 1)) / u) | x * K(u,z \ 1) = y. x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). x != y \ T(y,z) | K(y,z) = x. K(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = K(x,y). K(x,y * K(z,z \ 1)) != u | K(x,y) = u. K(x,y * K(z \ 1,z)) = K(x,y). K(x,y * T(z,z \ 1)) = K(x,y * z). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,y / (z \ 1)) = K(x,y / (1 / z)). K(x,y / (1 / z)) = K(x,y / (z \ 1)). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,y / (1 / (1 / z))) = K(x,y / z). K(x,K(y,y \ 1) * z) = K(x,z). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,(1 / y) * z) = K(x,(y \ 1) * z). K(x,T(y,y \ 1) * z) = K(x,y * z). K(x,((y \ 1) \ 1) * z) = K(x,y * z). K(x,(y \ 1) \ z) = K(x,(1 / y) \ z). K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x,L(y,z,z \ 1)) = K(x,(z \ 1) * (z * y)). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). K(x,(K(y,y \ 1) * z) \ u) = K(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,K(y,1 / y) * z) = K(x,z). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). K(x,(y * ((z \ 1) \ 1)) \ u) = K(x,(y * z) \ u). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,K(y,1 / y) / z) = K(x,1 / z). x * y != (1 / z) * T(u,z) | (((z * z) \ u) * z) / y = x. (((x * x) \ y) * x) / (1 / x) = T(y * K(1 / x,y),x). T(x * K(1 / y,x),y) = (((y * y) \ x) * y) / (1 / y). R(x,y,R(x,z,u)) = T(x * K(y * R(x,z,u),x),y). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). x * y != (z * T(u,w)) / z | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x * K(y,x),z) != u | T((y * x) / y,z) = u. T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. x * y != T(z * x,z) | T(z * K(z * x,z),x) = y. T(x * K(x * y,x),y) = R(x,y,x). x * y != T(z * y,u) | y \ T(y * z,u) = x. x \ T(x * y,y) = y * K(y * x,y). T(x * K(y,x),x \ y) = R(x,x \ y,x). T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). (x / ((y * z) / y)) * z = x / K(y,z). K(x,x * x) = a(x,x,x). (x / y) * (L(x / y,z,u) \ ((y \ x) \ 1)) != w | L(x / y,z,u) \ K(y,y \ x) = w. L(x,y \ z,T(y,y \ z)) = (y * (z / y)) \ (T(y,y \ z) * ((y \ z) * x)). (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). x \ y != z \ (z / (z / u)) | x * ((u * (z / u)) \ u) = y. x * ((y * (x / y)) \ y) = x / (x / y). T(T(x,x * y) * y,x) = x * y. x != (1 / y) \ z | y \ ((y * y) * z) = x. x \ ((x * x) * ((1 / x) \ y)) = T(1 / x,(1 / x) \ y) \ (y / (1 / x)). T(1 / x,(1 / x) \ y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). ((x \ y) \ y) \ (y / x) = x \ (x \ y). T(T(x,y),x * z) = T(T(x,y),z * x). T(T(x,y),z * x) = T(T(x,y),x * z). T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. K(x,y * x) = K(x,x * y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). (((1 / x) * ((y * (x * x)) * (1 / x))) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). x * L(y,x,y) != z * T(x,y) | L(y,x,y) = z. x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. K(x,x * (y \ 1)) != z | K(x,y \ x) = z. K(x,(y \ 1) \ x) = K(x,x * y). K(x,y * L(z \ 1,u,w)) = K(x,y * L(1 / z,u,w)). K(x,y * L(1 / z,u,w)) = K(x,y * L(z \ 1,u,w)). x != K(y,y * z) | K(y,z * y) = x. K(x,y * x) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,y * x). K(x,y / L(1 / z,u,w)) = K(x,y / L(z \ 1,u,w)). K(x,L(y \ 1,z,u) * w) = K(x,L(1 / y,z,u) * w). K(x,L(1 / y,z,u) * w) = K(x,L(y \ 1,z,u) * w). K(x,L(y \ 1,z,u) \ w) = K(x,L(1 / y,z,u) \ w). K(x,L(1 / y,z,u) \ w) = K(x,L(y \ 1,z,u) \ w). x * y = (x * ((z * y) / z)) / K(z,y). (x * ((y * z) / y)) / K(y,z) = x * z. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. x * K(y,z) = (x / z) * ((y * z) / y). (x / y) * ((z * y) / z) = x * K(z,y). (x * y) * K(z,y) = x * ((z * y) / z). (x * (y * K(z,y))) / K(z,y) = x * y. x * ((y * (x \ z)) / y) = z * K(y,x \ z). x * K(y,z \ x) = z * ((y * (z \ x)) / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). L(x,y * K(z * z,u),w) = L(x,(y / u) * ((z * z) * u),w). L(x,(y / z) * ((u * u) * z),w) = L(x,y * K(u * u,z),w). K(x,y) * ((z * x) / z) = T(x,y) * K(z,x). x != y * ((z * u) / z) | y * (u * K(z,u)) = x. x * (y * K(z,y)) = (x * y) * K(z,y). (x * y) * K(z,y) = x * (y * K(z,y)). (x * (y \ z)) * K(y,y \ z) = x * (z / y). L(K(x,y),y,z) = K(x,y). x * y != (R(z,y,u) * (y * u)) / u | z = x. x = R(x,y,K(z,y)). R(x,y,K(z,y)) = x. R(x,y,z) != u | R(x,y \ 1,z) = u. R(x,y \ 1,K(z,y)) = x. R(x,y \ 1,z) != u | R(x,y,z) = u. R(x,y,K(z,y \ 1)) = x. x \ (y * K(z,x \ y)) = (x \ y) * K(z,x \ y). x * (y * K(z,y)) != u | (x * y) * K(z,y) = u. (x \ 1) \ K(y,x) = ((x \ 1) \ 1) * K(y,x). ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). x != K(y,z) | L(K(y,z),z,u) = x. L(K(x,y),y,z) = L(K(x,y),y,u). a(x,y,K(z,y)) = 1. x \ y != L(K(z,u),u,w) | x * K(z,u) = y. x * K(y,z \ x) = z * ((z \ x) * K(y,z \ x)). x * ((x \ y) * K(z,x \ y)) = y * K(z,x \ y). K(x,y) != z | L(K(x,y),y \ 1,u) = z. x * (y * K(z,y \ 1)) = (x * y) * K(z,y \ 1). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). L(K(x,y),y,z) != u | K(x,y) = u. (x * y) \ ((x * y) / x) != z | L(x \ 1,T(x,y),y) = z. L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. L(x \ T(x,y),y,x) = K(T(x,y),y). L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. K(x,y) = K(T(x,T(y,x)),T(y,x)). K(T(x,T(y,x)),T(y,x)) = K(x,y). L(x,y,z) != K(u,y) | K(u,y) = x. K(T(x,y),y) = x \ T(x,y). K(x,y) = K(T(x,y),y). K(T(x,y),y) = K(x,y). K(T(x,y),y) != z | K(x,y) = z. x \ y != K(T(z,u),u) | x * K(z,u) = y. x * K(y,x) = (T(y,x) * x) / T(y,x). (T(x,y) * y) / T(x,y) = y * K(x,y). K(x \ (y * x),x) = K(y,x). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K((x \ y) \ y,x \ y) = K(x,x \ y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). T(T(x,y),y) = K(x,y) * T(x,y). K(x,y) * T(x,y) = T(T(x,y),y). K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). x \ y != K(z \ u,z) | x * K(u / z,z) = y. x * K(x / y,y) = (y \ x) * y. K(x / y,y) != z | y \ (x / (x / y)) = z. x \ (y / (y / x)) = K(x \ y,x). x \ y != K(z / u,u) | x * K(u \ z,u) = y. x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). x \ (y * K(y \ x,y)) = (y * (x / y)) \ y. K((x \ y) * (x * x),x * x) != z | K((x \ 1) \ y,x * x) = z. K(x,T(y,x)) = K(x,y). K(x,x \ (y * x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). K(x,R(x \ y,z,u)) = K(x,R(y / x,z,u)). K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). T(x,y) * K(y,x) = x. ((x \ y) \ y) * K(x \ y,x) = x. x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). T(x,y) \ x = K(y,x). K(x,y) = T(y,x) \ y. T(x,y) * K(z,x) != u | K(z,x) * T(x,y) = u. K(x,y) * T(y,x) = y. x * y != T(z,u) * K(u,z) | z / y = x. x / T(x,y) = K(y,x). K(x,y) = y / T(y,x). x * y != T(z,u) * K(u,z) | x \ z = y. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. x * y != T(x,z) * K(z,x) | 1 = y. 1 = T(x,y) * (x \ K(y,x)). T(x,y) * (x \ K(y,x)) = 1. x != y * K(z,x) | T(x,z) = y. x * K(y,z) != z | T(z,y) = x. (x \ y) * K(x,y / x) = y / x. x \ y != K(z,y) | T(y,z) = x. K(x,y) != z \ y | T(y,x) = z. x / K(y,x) != z | z = T(x,y). x / K(y,x) != z | T(x,y) = z. T(x,y) \ x != z | K(y,x) = z. L(x \ K(y,z),x,T(z,y)) = (T(z,y) * x) \ z. T(1 / (1 / x),y) = (1 / (1 / x)) / K(y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). x \ T(x,y) = T(y,x) \ y. T(x,y) \ x = y \ T(y,x). x != T(y,z) \ y | (1 / T(y,z)) * y = x. (1 / T(x,y)) * x = K(y,x). K(x,y) = (1 / T(y,x)) * y. 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 * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). K(x \ 1,y) != z | x * T(x \ 1,y) = z. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). K(T(x,y),y) != z | x \ T(x,y) = z. x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). x \ y != K(z,u) | x * (T(u,z) \ u) = y. x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). K(x,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). K((1 / x) \ y,y) = T(y,y * x) \ y. K(x,y) != z | y / T(y,x) = z. T(x * (T(x,y) \ x),y) = x. K(x,y / x) * (x \ y) = y / x. x / y != K(z,x) | T(x,z) = y. K(x,y) != y / z | T(y,x) = z. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. K(x,y) \ y != z | T(y,x) = z. x != x | T(x,y) \ x = K(y,x). (x * K(y,z)) * T(z,y) = x * z. K(x * K(y,y \ 1),z) = z / T(z,x). (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). T(x,T(y,x)) = (y \ T(y,x)) \ x. (x \ T(x,y)) \ y = T(y,T(x,y)). K(x,y / x) != z | y \ (x * (y / x)) = z. x \ (y * (x / y)) = K(y,y \ x). x \ y != K(z,u / z) | x * K(z,z \ u) = y. x * K(y,y \ x) = y * (x / y). 1 / (x \ K(y,x)) = T(x,y). T(x,y) = 1 / (x \ K(y,x)). 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. x \ y != T(z,x) \ z | T(x,T(z,x)) = y. T(x,T(y,x)) = T(x,y). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. T((T(x,y) * y) / T(x,y),x) = y. T(x,T(y,x)) != z | (x / T(y,x)) * y = z. (x / T(y,x)) * y = T(x,y). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(T(x,y),z) = T(T(x,z),T(y,x)). T(T(x,y),T(z,x)) = T(T(x,z),y). T(x,T(T(y,x),z)) = T(x,T(y,z)). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(T(x,y),x \ z) = T((x \ z) \ z,T(y,x)). T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). K(T(x,y),T(y,x)) = K(x,y). L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. x != y \ K(z,y) | (y \ 1) * K(z,y) = x. (x \ 1) * K(y,x) = T(x,y) \ 1. T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). T(x,x \ K(y,x)) = T(x,x \ 1). x != y | L(R(y,z,y),z,y) = x. L(R(x,y,x),y,x) = T(x * (T(x,z) \ x),z). T(x * (T(x,y) \ x),y) = L(R(x,z,x),z,x). T(x / T(y,x),y) = y \ T(x,y). T(x,y) / T(y,x) = x / T(T(y,x),x). x * y != T(z / u,u) | (u \ z) / y = x. (x \ y) / x = (y / x) / T(x,y / x). (x / y) / T(y,x / y) = (y \ x) / y. (x / T(y,z)) * y != u | (x * y) / T(y,z) = u. (x * y) / T(y,x) = T(x,y). T(x,y) * T(y,x) = x * y. (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). (T(x,y) / y) * z = (x / T(y,x)) * z. (T(x,y) / y) \ x = T(y,x). x \ y != T(z,u) / u | x * (z / T(u,z)) = y. x * (y / T(x,y)) = T(x * (y / x),x). T(x * (y / x),x) = x * (y / T(x,y)). T(x,y / x) / (y / x) = x / (x \ y). T(x,T(y,x) \ x) / T(y,x) = (x * (T(x,y) / y)) / x. T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). T(x,y) * (x \ T(y,x)) = y. x \ y != T(x,z) \ (x \ u) | T(x,z) \ u = y. T(x,x \ y) \ y = T(x \ y,x). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). L(x,y,z) \ (x * T(u,L(x,y,z))) = x * (T(L(x,y,z),u) \ u). T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). (x \ y) \ y = T(x,y / x). T(x,y / x) = (x \ y) \ y. x \ y != T(z,u / z) | x * T(z,z \ u) = y. (x / y) * T(y,y \ x) = y * (x / y). (x * (y / x)) / T(x,x \ y) = y / x. T(T(x / y,(x / y) \ z),y) = T(y \ x,z / (x / y)). (x * (y / x)) * x = y * T(x,x \ y). (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). T(x * (y / x),z / y) = x * (T(y,y \ z) / x). T(x,y) \ (x * y) = T(y,x). (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). x \ y != T(z,u) * T(u,z) | x * (z * u) = y. R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). a(T(x,y),T(y,x),z) = (T(x,y) * (T(y,x) * z)) \ ((x * y) * z). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). (x * y) * z != T(x,y) * (T(y,x) * u) | L(u,T(y,x),T(x,y)) = z. T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. x * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). T(x,y) = (x \ (y * x)) \ (y * x). (x * (y / x)) * x = y * ((x \ y) \ y). x * (((x \ 1) \ y) \ y) = K(1 / x,y / (x \ 1)). K(1 / x,y / (x \ 1)) = x * (((x \ 1) \ y) \ y). ((x \ y) \ y) * K(y / x,x) = x. T(x,y) != T(y,x) \ z | y * x = z. T(x,y) \ z != T(y,x) | x * y = z. T(x,y) != z | T(x,T(y,x)) = z. L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. x * (T(x,x \ y) \ x) = y / (y / x). x / (x / y) = y * (T(y,y \ x) \ y). x \ y != K(z,x) | (z * x) / z = y. ((x \ y) * x) / (x \ y) = y / (y / x). x != y * K(z,y) | K(z,y) * y = x. K(x \ y,x) * x = y / (y / x). x / (x / y) = K(y \ x,y) * y. T(x,(y / (y / (1 / z))) * u) = T(x,((z \ 1) * K((1 / z) \ y,1 / z)) * u). T(x / (x / y),y \ x) = y. T(x / (x / y),x) = L(y,y \ x,y). K(x / (x / y),y \ x) = K(y,y \ x). T(x / (x / (x / y)),y) = x / y. x \ y != z \ T(z,u) | x * (T(u,T(z,u)) \ u) = y. x * (T(x,T(y,x)) \ x) = (y * x) / y. (x * y) / x = y * (T(y,T(x,y)) \ y). (x / T(y,z)) * y = x * K(z,y). x / y = (x / T(y,z)) / K(z,y). (x / T(y,z)) / K(z,y) = x / y. (x * K(y,z)) \ (x * z) = T(z,y). x * y != K(z,z \ u) * (z \ u) | (u / z) / y = x. (x / y) / T(y \ x,z) = K(y,y \ x) * K(z,y \ x). K(x,x \ y) * K(z,x \ y) = (y / x) / T(x \ y,z). x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). x / T(y \ x,z) = y * K(z,y \ x). x * T(y,z) != K(y,z) * y | 1 = x. 1 = K(x,y) * K(y,x). K(x,y) * K(y,x) = 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 * T(y,z) != (u * T(y,z)) * y | u * y = x. x * y = (x * T(y,z)) * K(z,y). (x * T(y,z)) * K(z,y) = x * y. x * T(T(x,y),y) = T(x,y) * T(x,y). T(x,y) * T(x,y) = x * T(T(x,y),y). (x / y) * T(y \ x,y) = (y \ x) * (y \ x). 1 / K(x,y) = K(y,x). K(x,y) \ 1 = K(y,x). x \ y != 1 | x * (K(z,u) * K(u,z)) = y. x * (K(y,z) * K(z,y)) = x. x * y != K(z,u) * K(u,z) | 1 / y = x. 1 / ((x * y) / x) = K(y,x) / y. K(x,y) / x = 1 / ((y * x) / y). 1 != K(x,y) * z | K(y,x) = z. K(x,y) * z != 1 | K(y,x) = z. x \ 1 != K(y,z) | K(z,y) = x. K(x,y) != z \ 1 | K(y,x) = z. 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. K(x,y) \ 1 != z | K(y,x) = z. K(x,y) \ 1 != z * u | z \ K(y,x) = u. K(T(x,y),y) * K(y,x) = 1. L(x,y,K(z,u)) = L(x,y,K(u,z)). L(x,K(y,z),u) = L(x,K(z,y),u). L(x,y,z * K(u,w)) = L(x,y,z * K(w,u)). L(x,y,K(z,u)) != w | L(x,y,K(u,z)) = w. L(x,K(y,z),u) != w | L(x,K(z,y),u) = w. L(x,y,z * K(u,w)) != v5 | L(x,y,z * K(w,u)) = v5. x != K(y,T(z,y)) | K(y,z) = x. K(x,y) = K(T(y,x),x) \ 1. K(T(x,y),y) \ 1 = K(y,x). x != K(y,z) | y \ T(y,z) = x. x \ T(x,y) = K(y,x) \ 1. K(x,y) \ 1 = y \ T(y,x). L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). (K(x,y) * (K(y,x) \ z)) / u = K(x,y) * ((K(x,y) \ 1) \ (z / u)). K(x,y) * ((K(x,y) \ 1) \ (z / u)) = (K(x,y) * (K(y,x) \ z)) / u. (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(K(x,y),z) = T(K(x,y),z) * K(y,x). T(K(x,y),z) * K(y,x) = K(K(x,y),z). (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). a(K(x,y),z,u) = a(L(K(y,x),K(x,y),K(x,y)),z,u). a(L(K(x,y),K(y,x),K(y,x)),z,u) = a(K(y,x),z,u). K(T(x,y),y) \ 1 != z | K(y,x) = z. (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). L(x,K(y,y \ z),z) = (y * (z / y)) \ (z * (K(y,y \ z) * x)). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). a(x,y * (1 / K(z,z \ y)),u) = a(x,z * (y / z),u). x \ y != ((z \ u) \ u) \ u | x * T(z \ u,z) = y. ((x \ y) \ y) * T(x \ y,x) = y. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). T(x,T(y,x)) != z | T(x,y) = z. T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). (T(x,y) \ 1) * x = (x \ 1) * (x * K(y,x)). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. K(x,y) / T(y,y \ 1) = y \ K(x,y). x != T(y \ T(y * z,z),y) | R(z,y,z) = x. R(x,y,x) = T(y,y \ T(y * x,x)) \ T(y * x,x). T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). T(x * y,T(y,x)) = T(x * y,y). L(x,y,z) = L((x \ 1) \ 1,y,z) * K(1 / x,x). L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). T(x / T(y,z),y) = y \ (x * K(z,y)). (x * K(y,z)) / z = x / T(z,y). x * K(y,z) != u * z | x / T(z,y) = u. x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. (x * K(y,z)) * (z \ 1) = R(x / T(z,y),z,z \ 1). R(x / T(y,z),y,y \ 1) = (x * K(z,y)) * (y \ 1). (x / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = u. (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. x != y / T(z,y) | T(y,z) / z = x. T(x,y) / y = (x / y) * K(x,y). (x / y) * K(x,y) = T(x,y) / y. x * y != (z * u) / T(z,u) | x \ u = y. ((x * y) / x) \ y = K(y,x). K(x,y) = ((y * x) / y) \ x. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (1 / T(x,y)) = (x \ 1) * (x \ K(y,x)). (x \ 1) * (x \ K(y,x)) = x \ (1 / T(x,y)). (x * (y * y)) * K(z,1 / y) = (x * y) / T(1 / y,z). (x / ((y \ 1) \ 1)) * K(z,y) = x / T((y \ 1) \ 1,z). x != ((y * z) / y) \ z | z / ((y * z) / y) = x. x / ((y * x) / y) = K(x,y). K(x,y) = x / ((y * x) / y). x != ((y * z) / y) \ z | z * (((y * z) / y) \ 1) = x. x * (((y * x) / y) \ 1) = K(x,y). K(x,y) = x * (((y * x) / y) \ 1). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). K(x,y) != z | T(y,x) \ y = z. T(x,y) \ x = ((x * y) / x) \ y. ((x * y) / x) \ y = T(x,y) \ x. K(T(x,y),z) = T((z * x) / z,y) \ T(x,y). T((x * y) / x,z) \ T(y,z) = K(T(y,z),x). K(x,y) * ((y * x) / y) = x. K(x \ y,x) * (y / x) = x \ y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). (T(x,y) \ x) * ((x * y) / x) = y. (x * T(x \ y,z)) \ y = K(z,x \ y). (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). K(x,y) / x = 1 / (x * K(y,x)). 1 / (x * K(y,x)) = K(x,y) / x. x != L(T(y,z),K(u,y),w) | T(y,z) = x. T(x,y) = L(T(x,y),K(x,z),u). L(T(x,y),K(x,z),u) = T(x,y). x != L(y,K(z,y),u) | y = x. x = L(x,K(x,y),z). L(x,K(x,y),z) = x. L(x,K(y,z),u) * w = L(x,K(z,y),u) * w. (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). (x \ (x * y)) * x = L(y * x,K(x * y,z),u). L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. L(x,((y \ z) \ z) * z,u) != w | L(x,L(T(y \ z,y),(y \ z) \ z,(y \ z) \ z),u) = w. (x * K(y,z / y)) / (z / y) = x / (y \ z). R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). L(x / y,y,y) \ 1 = ((1 / y) * x) \ K((1 / y) * x,y). ((1 / x) * y) \ K((1 / x) * y,x) = L(y / x,x,x) \ 1. L(x,y * (z \ K(z,u)),w) = L(x,y * ((u * z) / u),w). T(x,x \ K(x,y)) = (x \ 1) \ 1. (x * K(y,x)) \ 1 = x \ K(x,y). (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. (x \ (y * (T(z,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 * (T(x,y) \ x))) * y. (K(x,y) / x) \ 1 = x * K(y,x). 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). 1 / (x \ K(x,y)) = x * K(y,x). x != T(y,z * y) | T(y,y * z) = x. T(x,x * y) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,x * y). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). L(T(x,y),x \ z,x) = T(T(z / (z / x),z),y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). K(x,T(y,x)) != z | K(x,y) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. R(T(x,x * y),y,T(x,x * y)) = T(x,y). L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). (1 / x) * (((1 / x) \ y) * K(z,(1 / x) \ y)) = ((T(z,(1 / x) \ y) * (y * x)) / T(z,(1 / x) \ y)) / x. ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. x != T(y,z) \ y | K(z,y) = x. K(x * y,x) = K((1 / y) \ x,x). K((1 / x) \ y,y) = K(y * x,y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). x != y / T(y,z) | K(z,y) = x. K(x,y) = K(x * K(z,z \ 1),y). K(x * K(y,y \ 1),z) = K(x,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(K(x,x \ 1) * y,z) = K(y,z). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(((x \ 1) \ 1) * y,z) = K(x * y,z). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x * y,z) = K((1 / (1 / x)) * y,z). K((1 / (1 / x)) * y,z) = K(x * y,z). K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). K(x \ (1 / y),z) = K(x \ (y \ 1),z). 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 * (1 / z)),u) = K(x * (y * (z \ 1)),u). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). K(x / (K(y,y \ 1) * z),u) = K(x / z,u). K(x,y) / (1 / T(y,x)) = 1 / (1 / y). T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). (x * y) / ((x * y) / x) = x * (T(x,y) \ x). ((x * T(T(x,y),y)) \ z) * T(x,y) = (1 / T(x,y)) * T(z,T(x,y)). x * (y * T(T(y,y \ 1),y \ 1)) = (x * T(y,y \ 1)) / (y \ 1). (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. (x \ K(y,x)) * x = K(y,x) * K(x \ 1,x). K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). (x \ K(x,y)) * T(x,x \ 1) = K(x,y). K(x * (y \ 1),x) != z | K(y \ x,x) = z. K((x \ 1) \ y,y) = K(y * x,y). K(x * T(y \ 1,z),u) = K(x * T(1 / y,z),u). K(x * T(1 / y,z),u) = K(x * T(y \ 1,z),u). K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). K((1 / (1 / x)) * (x \ y),z) = K(y,z). K((K(x,y) / x) * z,u) = K(((x * K(y,x)) \ 1) * z,u). K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). x != K(y,1 / z) | K(y,z \ 1) = x. K(x * y,z \ 1) = K((1 / (1 / x)) * y,1 / z). K((1 / (1 / x)) * y,1 / z) = K(x * y,z \ 1). K(x,y) / (K(x,y) / y) = 1 / (1 / y). K(x,y * K(z \ 1,z)) != u | K(x,y) = u. K(x,y) != z | K(x,1 / (1 / y)) = z. K(x,(y \ 1) \ 1) != z | K(x,y) = z. K(x,y * (1 / z)) != u | K(x,y * (z \ 1)) = u. K(x,y / (z \ 1)) != u | K(x,y / (1 / z)) = u. K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. K(x,y / (1 / (1 / z))) != u | K(x,y / z) = u. K(x,K(y,y \ 1) * z) != u | K(x,z) = u. K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. K(x,y \ K(z,z \ 1)) != u | K(x,y \ 1) = u. K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(x,y \ 1) != z | K(x,1 / y) = z. K(x,T(y / z,z / y)) != u | K(x,y / z) = u. K(K(x \ 1,x) * y,(z \ 1) \ 1) != u | K(y,z) = u. T(x * K(L(y,x,x),x),(x \ 1) * y) = R(x,x \ L(y,x,x),x). x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. (x \ y) * K(z,T(x,x \ y)) != u | y / T(T(x,x \ y),z) = u. R(x \ 1,x,y) * K(z,y) != u | (x \ y) / T(y,z) = u. K(x,y * (z \ 1)) != u | K(x,y * (1 / z)) = u. K(x,K(y \ 1,y) * z) != u | K(x,z) = u. K(x,(1 / (1 / y)) * z) != u | K(x,y * z) = u. K(x,(1 / y) \ z) != u | K(x,(y \ 1) \ z) = u. K(x,(y * (1 / z)) \ u) != w | K(x,(y * (z \ 1)) \ u) = w. K(x,y * (z * (1 / u))) != w | K(x,y * (z * (u \ 1))) = w. K(x,((1 / y) * z) \ u) != w | K(x,((y \ 1) * z) \ u) = w. K(x,R(1 / y,z,u) \ w) != v5 | K(x,R(y \ 1,z,u) \ w) = v5. T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z)) = T(K(x,1 / y),z). K(x,R(T(K(x,y),z),u,w)) = 1. K(x,1 / T(y,z)) != T(u,z) | K(x,1 / y) = u. T(x,y) != K(z,1 / T(u,y)) | K(z,1 / u) = x. x * y != y * z | z * K(y,z) = x. L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x \ y != T(1 / (K(z,u) / z),u) | x * (1 / (1 / z)) = y. x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). T(x,y \ (y \ 1)) = x * K(y * y,x). x != y * K(y * y,y) | L(y,y,y) = x. L(x,x,x) = T(x,x \ (x \ 1)). T(x,x \ (x \ 1)) = L(x,x,x). a(x,y,T(1 / z,u \ (u \ 1))) = a(x,y,z * K(u * u,1 / z)). (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)) = x \ R(L(x,x,x),y,z). x * y != (z * L(u,w,v5)) / z | L(u * K(z,u),w,v5) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. K(L(x,y,z),u) = L(x,y,z) / L(x * K(u,x),y,z). L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). K(1 / T(x,y),z) = T(K(1 / x,z),y). 1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). K(1 / T(x,y),z) != T(u,y) | K(1 / x,z) = u. T(x,y) != K(1 / T(z,y),u) | K(1 / z,u) = x. (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). x \ y != z * T(z \ u,w) | x * (u * K((u \ z) \ 1,w)) = y. x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). x != (1 / y) * T((1 / y) \ (z / y),u) | T(z,u) / y = x. T(x,y) / z = K(((1 / z) / (x / z)) \ 1,y) * (x / z). K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. 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). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. T(K(x,y \ 1) / y,x) = 1 / y. T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). T(1 / ((x * y) \ x),z) = T(T(1 / ((x * y) \ x),z),y). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(T(x,(x * K(y,x)) * z) * K(y,T(x,(x * K(y,x)) * z)),u) = T(T(x * K(y,x),u),z * (x * K(y,x))). K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). x * y != ((z * u) * u) / (z * u) | (z \ T(z * u,u)) / y = x. (x \ T(x * y,y)) / y = K(x * y,y). x \ T(x * y,y) != y * z | K(x * y,y) = z. R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. K(x,y * (z \ u)) = K(x,y * (((z \ 1) \ 1) \ u)). K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * (z * ((u \ 1) \ w))) = K(x,y * (z * ((1 / u) \ w))). K(x,y * (z * ((1 / u) \ w))) = K(x,y * (z * ((u \ 1) \ w))). K(x,y * (z * (u * (1 / w)))) = K(x,y * (z * (u * (w \ 1)))). K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (T(1 / z,u) \ w)). K(x,y * (T(1 / z,u) \ w)) = K(x,y * (T(z \ 1,u) \ w)). K(x,(y \ (z \ 1)) \ u) = K(x,(y \ (1 / z)) \ u). K(x,(y \ (1 / z)) \ u) = K(x,(y \ (z \ 1)) \ u). K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,(y / ((z \ 1) \ 1)) / u) = K(x,(y / z) / u). K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). K(x,(y * (z / (u \ 1))) \ w) = K(x,(y * (z / (1 / u))) \ w). K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). K(x,y / ((z \ 1) \ u)) = K(x,y / ((1 / z) \ u)). K(x,y / ((1 / z) \ u)) = K(x,y / ((z \ 1) \ u)). K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))). x != (y * z) * ((y * ((y * z) \ u)) / y) | (y * ((u / z) / y)) * z = x. (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * y != T(z,u) * T(u,z) | (z * u) / y = x. (x * y) / T(T(x,y),y) = T(y,x). x * y != T(z,u) * T(u,z) | x \ (z * u) = y. T(x,y) \ (y * x) = T(T(y,x),x). T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). T((x * y) / x,T(x,y)) = L(R(y,z,y),z,y). T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). L(x,y,(z \ u) * z) = L(x,y,u * K(z,z \ u)). L(x,y,z * K(u,u \ z)) = L(x,y,(u \ z) * u). L(x,y,T(z,u)) = L(x,y,z * K(u,z)). L(x,y,z * K(u,z)) = L(x,y,T(z,u)). L(x,y,z) = L(x,y,T(T(z,u),u)). L(x,y,T(T(z,u),u)) = L(x,y,z). L(x,y,z / u) = L(x,y,T(u \ z,u)). L(x,y,T(z \ u,z)) = L(x,y,u / z). L(x,y,T(T(z,z * u),u)) = L(x,y,L(z,u,z)). L(x,y,T(T(z,u),u * z)) = L(x,y,R(z,u,z)). x != T(y,T(T(z,y),u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). x * (y * K(z,y)) != u | x * ((z * y) / z) = u. (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. (x \ (1 / T(x,y))) \ z = K(y,x) \ (x * ((x \ 1) \ z)). K(x,y) \ (y * ((y \ 1) \ z)) = (y \ (1 / T(y,x))) \ z. (x \ 1) * (T(x,y) \ 1) = x \ (1 / T(x,y)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). x != T(y,(y \ z) * y) | T(y,z) = x. T(x,y) = T(x,(x \ y) * T(x,y)). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). K(x \ ((y \ 1) \ z),u) = K(x \ ((1 / y) \ z),u). K(x \ ((1 / y) \ z),u) = K(x \ ((y \ 1) \ z),u). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K((x \ y) \ z,u) = K((((x \ 1) \ 1) \ y) \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). K(x / (y * (1 / z)),u) = K(x / (y * (z \ 1)),u). T(x * (y / x),x) != z | x * (y / T(x,y)) = z. x * (y / T(x,y)) = x \ (y * ((x \ y) \ y)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). (x * y) / ((x * y) / x) != z | y / (x \ ((x * y) / x)) = z. x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). x \ y != (z \ K(u,z)) * K(z,z \ 1) | x * (K(u,z) / z) = y. x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. ((x / y) \ T(x,z)) \ y = K(z,((x / y) \ 1) \ y). K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. K(x,T(y \ 1,z) \ 1) != u | T(K(x,y),z) = u. T(K(x,y),z) = 1 / T(K(y,x),z). 1 / T(K(x,y),z) = T(K(y,x),z). T(K(x,y),z) \ 1 = T(K(y,x),z). T(K(x,y),z) \ 1 != u | T(K(y,x),z) = u. K(x,K(y,z)) = T(K(z,y),x) * K(y,z). T(K(x,y),z) * K(y,x) = K(z,K(y,x)). x \ y != T(K(z,u),w) \ 1 | x * T(K(u,z),w) = y. K(x,y) * T(K(y,x),z) = K(z,K(x,y)). T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. K(K(x,y),z) = K(z,K(y,x)). x \ y != K(z,K(u,w)) | x * K(K(w,u),z) = y. x * K(K(y,z),x) = T(x,K(z,y)). K(x,y) != z | K(y,x) \ 1 = z. K(x,K(y,z)) \ 1 = K(x,K(z,y)). x \ y != K(K(z,u),w) | x * K(w,K(u,z)) = y. K(x,y) * K(z,K(y,x)) = T(K(x,y),z). T(K(x,y),z) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). x = T(T(x,K(y,z)),K(z,y)). T(T(x,K(y,z)),K(z,y)) = x. (K(x,y) * z) / K(x,y) = T(z,K(y,x)). T(x,K(y,z)) * K(z,y) = K(z,y) * x. T(T(x,K(y,z)),K(z,y)) != u | u = x. T(x,K(y,z)) != u | (K(z,y) * x) / K(z,y) = u. T(T(x,K(y,z)),K(z,y)) != u | x = u. T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). K(x,y) = T(K(x,y),K(x,z)). T(K(x,y),K(x,z)) = K(x,y). K(x,y) = T(K(x,y),K(z,y)). T(K(x,y),K(z,y)) = K(x,y). 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) * z != u * K(x,y) | T(z,K(y,x)) = u. x \ y != T(K(z,u),K(z,w)) | x * K(z,u) = y. K(x,y) * K(x,z) = K(x,z) * K(x,y). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. K(x,K(y,z)) != u | K(K(z,y),x) = u. T(x,K(y,z)) != u | u = x * K(K(z,y),x). T(x,K(y,z)) != u | x * K(K(z,y),x) = u. (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). K(K(x,y),z) != u | K(z,K(y,x)) = u. T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. x \ y != T(z,u) * T(T(u,w),z) | x * (T(u,w) * T(z,u)) = y. (x / T(x,y)) * (T(y,z) * T(x,y)) = L(T(y,z),T(x,y),x / T(x,y)) * x. L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,z,y),z,y). (T(x,y) \ 1) * T(x \ 1,T(x,y) \ 1) = x \ (1 / T(x,y)). (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). (T(x,y) \ 1) * T(x,x \ 1) = K(y,x). K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). x * y != (T(z,u) \ 1) * T(z,z \ 1) | x \ K(u,z) = y. (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). (x \ 1) \ K(y,x * K(y,x)) = T(x * K(y,x),(x * K(y,x)) \ 1). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). ((x * y) / x) \ x = y \ ((y * x) / y). ((x * y) / x) \ x = y \ (x * (T(x,y) \ x)). x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). R(x,y,z) \ R(x,y,z) = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). R(K(R(x,y,z),u),R(x,y,z),y * z) = (R(T(x,u),y,z) * (y * z)) / ((x * y) * z). (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). R(x,y \ 1,K(z,y)) != u | x = u. x / (y \ 1) = T(x,y) / ((y \ 1) * K(x,y)). T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). T(x,y) / (T(y,x) \ 1) = x / (y \ 1). (x / (y \ 1)) \ T(x,y) != z | T(y,x) \ 1 = z. x != L(y,K(y,z),u) | y = x. x = (y * K(x,z)) \ (y * T(x,z)). (x * K(y,z)) \ (x * T(y,z)) = y. x \ y != L(z,K(z,u),w) | x * z = y. (x * K(y,z)) * y = x * T(y,z). (x * T(y,z)) / y = x * K(y,z). x \ (y * T(z,u)) != z | (y / z) * T(z,u) = x. (x / y) * T(y,z) = x * K(y,z). x \ ((y * z) * T(z,u)) != z | y * T(z,u) = x. x * T(y,z) = (x * y) * K(y,z). (x * y) * K(y,z) = x * T(y,z). x * y != z * T(y,u) | x = z * K(y,u). z * T(y,u) != x * y | x = z * K(y,u). x * T(y,z) != u * y | x * K(y,z) = u. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x != K(y,z) * T(z,u) | T(z,u) * K(y,z) = x. T(x,y) * K(z,x) = (K(z,x) * K(x,y)) * x. (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). T(x * K(y,z),y) = y \ (x * T(y,z)). x * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. x * T(y,z) != (y * z) * T(T(y,z),u) | T(y,u) * z = x. T(x,y) * z = (x * z) * K(T(x,z),y). (x * y) * K(T(x,y),z) = T(x,z) * y. x * y != (z * K(u,y)) * T(y,u) | z = x. x = (x * K(y,z)) * K(z,y). (x * K(y,z)) * K(z,y) = x. a(x,y * K(z,u),z) = (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z). (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). (x \ K(x,y)) * x = (x \ 1) * T(x,y). (x * ((y * z) / y)) * y = (x * z) * T(y,z). (x * (y * K(z,y))) * z = (x * y) * T(z,y). (T(x,y) \ 1) * y = (x \ 1) * T(y,x). (x * y) * z = (x * T(y,z)) * T(z,y). (x * T(y,z)) * T(z,y) = (x * y) * z. x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). (x * K(y,z)) \ x = K(z,y). x * y != (z \ u) \ u | x \ T(z,z \ u) = y. (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). x * K(y,z) != K(y,z) * u | T(u,K(z,y)) = x. 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,y \ z) != u * (z / y) | u * (y \ z) = x. x * (y \ z) = (x * (z / y)) * K(y \ z,y). (x * (y / z)) * K(z \ y,z) = x * (z \ y). x * K(y,z) != y \ K(y,z) | y \ 1 = x. x \ 1 = (x \ K(x,y)) * K(y,x). (x \ K(x,y)) * K(y,x) = x \ 1. 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 != y * K(z,u) | x * K(u,z) = y. x * K(y,z) != u | u * K(z,y) = x. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. (x * K(y,z)) \ x != u | K(z,y) = u. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. x != T(y,K(z,u)) * K(u,z) | K(u,z) * y = x. K(x,y) * z = T(z,K(y,x)) / K(y,x). T(x,K(y,z)) / K(y,z) = K(z,y) * x. x / K(y,z) != u | (x * z) / ((y * z) / y) = u. (x * y) / ((z * y) / z) = x * K(y,z). x * y != (z / T(u,w)) / K(w,u) | x \ (z / u) = y. (x / T(y,z)) \ (x / y) = K(y,z). (x * K(y,z)) * K(z,y) != u | u = x. (x * K(y,z)) * K(z,y) != u | x = u. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). x / (K(y,z) \ 1) = x * K(y,z). x \ y != K(z,(u \ 1) \ y) | u \ T(u * y,z) = x. x \ T(x * y,z) = y * K((x \ 1) \ y,z). x \ y != K(z,u \ y) | u * T(u \ y,z) = x. x * T(x \ y,z) = y * K(x \ y,z). ((x / T(y,z)) * y) \ x = K(y,z). (x * y) \ (x * T(y,z)) = K(y,z). x * y != (z * T(u,w)) / u | x \ (z * K(u,w)) = y. (x / y) \ (x * K(y,z)) = T(y,z). T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. (x * T(y \ z,u)) / T(z / y,u) = x * K(T(z / y,u),y). ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. T(x,(x / y) / x) = T(x,1 / y). x * y != (z / u) * T(u,w) | (z * K(u,w)) / y = x. (x * K(y,z)) / (x / y) = T(x / (x / y),z). T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. (x * y) * T(L(z,y,x),u) = (x * (y * z)) * K(L(z,y,x),u). (x * (y * z)) * K(L(z,y,x),u) = (x * y) * T(L(z,y,x),u). (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). K(x,y) * T(x,z) = T(x,y) * K(x,z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). x != y * T(z,u) | (y * K(z,u)) * z = x. (x * K(y,z)) * y = (x * y) * K(y,z). (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. L(K(x,y),x,z) = K(x,y). L(K(x,y),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))). (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. (x / y) * T(y,z) != u | x * K(y,z) = u. (x / (y * y)) * K(y \ 1,z) = (x / y) * T(y \ 1,z). R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). ((x \ 1) * ((x \ 1) * y)) * K((1 / x) * y,z) = (1 / x) * T((1 / x) * y,z). (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. ((x * y) / x) * K(x \ y,z) = T(x,y) * T(x \ y,z). L(K(x \ 1,y),x,z) = K(x \ 1,y). x != K(y,z) | K(z,y) \ 1 = x. K(x,y) \ 1 = L(K(y,x),y,z). L(K(x,y),x,z) = K(y,x) \ 1. a(x,y,K(y,z)) = 1. x * y != L(K(z,u),z,w) | x \ K(z,u) = y. (1 / x) \ K(x \ 1,y) = x * K(x \ 1,y). a(x,y \ 1,z) != u | a(x,y,z) = u. a(x,y,K(y \ 1,z)) = 1. L(K(x,y),x,z) != u | K(x,y) = u. (1 / x) * K(x,y) != z | K(x,y) * (1 / x) = z. K(x,y) * (1 / x) = K(x,y) / x. R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). (K(x,y) / y) \ (1 / y) = K(y,x). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. (x \ K(y,x)) \ (x \ 1) != z | K(x,y) = z. (x * ((y * z) / y)) \ (x * z) != u | K(z,y) = u. x * K(y,z) != u | u = x / K(z,y). x * K(y,z) != u | x / K(z,y) = u. ((x \ 1) \ y) * K(x \ 1,x) != z | z = (1 / x) \ y. ((x \ 1) \ y) * K(x \ 1,x) != z | (1 / x) \ y = z. x \ y != L(K(z \ 1,u),z,w) | x * K(z \ 1,u) = y. (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). (x * y) * K(T(x,y),z / x) = ((x \ z) \ z) * y. ((x \ y) \ y) * z = (x * z) * K(T(x,z),y / x). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. (x * y) * T(x,y) = (T(x,y) * y) * x. (T(x,y) * y) * x = (x * y) * T(x,y). (K(x,y) * z) \ z = T(K(y,x),z). x / ((y * z) / y) = (x / z) * K(z,y). x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). x \ T(y,z) = (x \ y) * K((x \ 1) \ (x \ y),z). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ y != z * T(z \ u,w) | x * (u * K(z \ u,w)) = y. x * (y * K((x \ 1) \ y,z)) = T(x * y,z). x * y != (z / u) * T((z / u) \ w,z) | x \ (((z \ (w * u)) * z) / u) = y. x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x * y != z * T(z \ x,u) | K((x \ z) \ 1,u) = y. K((x \ y) \ 1,z) = K(y \ x,z). x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. (1 / x) * T(x \ ((x \ 1) \ y),z) = (x \ y) * K((1 / x) \ (x \ y),z). (x \ y) * K((1 / x) \ (x \ y),z) = (1 / x) * T(x \ ((x \ 1) \ y),z). x \ (y * (z * T(z \ (y \ x),u))) = L(K(z \ (y \ x),u),y \ x,y). L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). (x * K(y \ x,z)) \ (y * u) != w | L(T(y \ x,z) \ u,T(y \ x,z),y) = w. (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). ((x * T(x \ (y / z),y / z)) * z) / y = R(K(x \ (y / z),y / z),y / z,z). R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. K(1 / (x \ y),z) = K(y \ x,z). x != K(y \ (y * z),u) | K(z,u) = x. K(x,y) = K(((z * x) \ z) \ 1,y). K(((x * y) \ x) \ 1,z) = K(y,z). x \ y != K(z \ u,w) | x * K((u \ z) \ 1,w) = y. T(x,y \ z) * K((z \ y) \ 1,x) = x. K(x \ 1,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(y \ 1,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. K(x \ y,z) != u | K((y \ x) \ 1,z) = u. x * y != K(((z * u) \ z) \ 1,w) | x \ K(u,w) = y. ((x * y) \ x) \ K(y,z) = T(((x * y) \ x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). T(x,(y * z) \ y) = 1 / (x \ K(z \ 1,x)). 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). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. (x / ((y * z) / y)) * K(y,z) = x / z. x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). x / (y * K(z,y)) = (x / y) * K(y,z). x / (y / (y / z)) = (x / z) * K(z,z \ y). T(x,(y \ z) \ 1) = T(x,z \ y). x \ y != T(z,(u \ w) \ 1) | x * T(z,w \ u) = y. ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,((y * z) \ y) \ 1) = T(x,z). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,(y / (z * z)) \ 1) = T(x,(z \ 1) \ (z / y)). ((x * y) \ x) \ x = T(x * y,y \ 1). T(x * y,y \ 1) = ((x * y) \ x) \ x. T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). T(x,L(y \ 1,y,z) \ 1) = T(x,y). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). K(T(x \ 1,y) \ 1,z) != u | T(K(x,z),y) = u. T(K(x,y),z) = K(((x \ 1) * z) \ z,y). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. (x / (K(y,z) * T(y,u))) \ x = K(y,u) * T(y,z). (x / (y / z)) * K(z,z \ y) = x / (z \ y). x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). x / T(y * x,T(y,x) \ 1) = (y * x) \ x. x != ((y * z) \ y) \ u | L(z \ 1,z,y) \ u = x. L(x \ 1,x,y) \ y = T(y * x,x \ 1). T(x * (1 / y),y) = ((x * (1 / y)) \ x) \ x. (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. x * K(T(x,y),z) != u | K(y,x) * T(T(x,y),z) = u. T(x,L(y,y \ 1,z)) = T(x,y). T(x,L(y,y,z)) = T(x,y). x \ y != T(z,L(u,u,w)) | x * T(z,u) = y. L(x,x,y) * T(z,x) = z * L(x,x,y). (x \ 1) * T(y,x) = T(y * (1 / x),x * x). T(x * (1 / y),y * y) = (y \ 1) * T(x,y). (1 / x) \ L(y * ((x \ 1) \ 1),x,x) = x * (y * L(x,x,x)). x / T(x * y,y \ 1) = L(y \ 1,y,x). (x * (K(y,x) / x)) * x = T(x,x \ 1) * K(y,x). T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. x != (K(y * z,u) * z) * T(y,z) | (y * z) * R(K(y * z,u),z,T(y,z)) = x. (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * ((x * y) / x)) * x. (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). (T(x,y) / z) / K((z \ 1) \ (x / z),y) = x / z. T(x,y) / z = (x / z) * K((z \ 1) \ (x / z),y). (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). T(x / (x / y),z) != u / (x / y) | x * K(y,z) = u. (x * K(y,z)) / (x / y) = T(y * K(y \ x,y),z). T(x * K(x \ y,x),z) = (y * K(x,z)) / (y / x). T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). T(x,(y * z) \ y) != u | T(x,z \ 1) = u. T(x,y \ z) != u | T(x,(z \ y) \ 1) = u. T(x,y \ (y / z)) != u | T(x,z \ 1) = u. T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. x * y != (z / u) * K(u,u \ w) | (z / (w / (w / u))) / y = x. (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). T((x * y) * (1 / x),x) != z | (y * x) * (1 / x) = z. (x * y) * (1 / y) = (((y * x) * (1 / y)) \ (y * x)) \ (y * x). (((x * y) * (1 / x)) \ (x * y)) \ (x * y) = (y * x) * (1 / x). T(((1 / x) \ 1) \ T(y,1 / x),x * x) = (x \ 1) * T((1 / x) \ (((1 / x) \ 1) \ y),x). (x \ 1) * T((1 / x) \ (((1 / x) \ 1) \ y),x) = T(((1 / x) \ 1) \ T(y,1 / x),x * x). x != (y * z) / y | z * K(y,z) = x. x * K(y * x,x) = R(x * K(y,x),y,x). R(x * K(y,x),y,x) = x * K(y * x,x). K(x * (y * y),y * y) = K(x,y * y). ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. R(T(x,y),z,x) = T(T(x * K(x * z,x),y),z). T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). x * ((y * z) / y) != u | (x * z) * K(y,z) = u. R(x,y,z) \ R(x,y,z) = K(x \ R(x,u,w),R(x,y,z)). K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). L(x * y,K(y * x,z),u) = x * y. x \ y != L(z * u,K(u * z,w),v5) | x * (z * u) = y. (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). K(x,(y \ 1) \ x) != z | K(x,x * y) = z. K(x,y * x) != z | K(x,x * y) = z. K(x,L(1 / y,z,u) * w) != v5 | K(x,L(y \ 1,z,u) * w) = v5. K(x * y,y) = K((x \ 1) \ y,y). K((x \ 1) \ y,y) = K(x * y,y). K(x * y,y) = K(y * x,y). K(x,y) = K(y * (x / y),y). K(x * (y / x),x) = K(y,x). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). x \ y != K((z \ 1) \ u,u) | x * K(z * u,u) = y. ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). K(x \ y,y) = K((1 / x) * y,y). K((1 / x) * y,y) = K(x \ y,y). L(x,y,T(T(z,u),u * z)) = L(x,y,L(z,u,z)). T(x * y,x) * T(x,y) != z | (x * y) * R(x,y,x) = z. (x * y) * R(x,y,x) = (R(x,y,x) * y) * x. (R(x,y,x) * y) * x = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | x = z. x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. L(x,y,T(T(z,u),u * z)) != w | L(x,y,R(z,u,z)) = w. L(x,y,R(z,u,z)) = L(x,y,L(z,u,z)). ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. (x * y) / ((z * y) / z) != u | x * K(y,z) = u. x * K(y,z) = (x / (y * K(z,y))) * y. (x / (y * K(z,y))) * y = x * K(y,z). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. (x / (y / (y / z))) * z = x * K(z,z \ y). x * y != (z \ u) * K(z,z \ u) | (u / z) / y = x. (x / y) / y = (y \ x) / (x / (x / y)). (x \ y) / (y / (y / x)) = (y / x) / x. (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. K(R(x,y,z) \ 1,u) * (y * z) = ((x * T(x \ 1,u)) * y) * z. R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). x * ((y \ z) * T((y \ z) \ (x \ z),u)) != w | (x * T(x \ y,u)) * (y \ z) = w. (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). L(K(x \ 1,L(x,y,z)),u,w) != v5 | K(L(x,u,w) \ 1,x) = v5. K(L(x,y,z) \ 1,x) = K(L(x,y,z) \ 1,L(x,u,w)). K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). x \ y != L(K(z \ 1,u),w,v5) | x * K(L(z,w,v5) \ 1,u) = y. (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). L(1,x,y) = K(L(z,x,y) \ 1,(z \ 1) * L((z \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). L(T(K(x,y),z),u,w) = K(L(T(x \ 1,z),u,w) \ 1,y). K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). x != K(y \ 1,z) | K(1 / y,z) = x. K(1 / L(x,y,z),u) = L(K(1 / x,u),y,z). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). 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. x \ y != L(K(1 / z,u),w,v5) | x * K(1 / L(z,w,v5),u) = y. (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). x != ((1 / y) / z) * T(((1 / y) / z) \ (z \ 1),u) | (y \ T(y * K(z \ 1,z),u)) / z = x. (x \ T(x * K(y \ 1,y),z)) / y = y \ K((y * ((1 / x) / y)) \ 1,z). x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. x \ y != z * T(z \ (u \ 1),w) | x * (u \ K((u * z) \ 1,w)) = y. x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). (R(x,y,y \ 1) \ (x * y)) * ((x * y) * (y \ 1)) = (x * y) * K((y \ 1) \ 1,(x * y) * (y \ 1)). K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). x * y != z * ((u * (z \ x)) / u) | K(u,z \ 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,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). K(x,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))). K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). K(x,y \ 1) = K(x,z \ (z / y)). K(x,y \ (y / z)) = K(x,z \ 1). K(x,((y \ 1) * z) \ 1) = K(x,L(z,y \ 1,y) \ y). K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). K(x,a(y,z,z \ 1) \ 1) = K(x,R(y,z,z \ 1) \ y). K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). R(x,y \ z,K(u,z \ y)) = x. x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). x \ y != K(z,(u * w) \ u) | x * K(z,w \ 1) = y. x * K(x * y,y \ 1) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). x * y != K(z,(u * w) \ u) | K(z,w \ 1) / y = x. K(x,y \ 1) / ((z * y) \ z) = 1 / T((z * y) \ z,x). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. x \ y != L(K(z,u \ w),u \ w,v5) | x * K(z,(w \ u) \ 1) = y. x * K(y,(x \ z) \ 1) = z * ((z \ x) * K(y,z \ x)). x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). K(x,y * ((1 / z) \ z)) = K(x,y * (z * z)). K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). K(x,(y * L(z \ 1,u,w)) \ v5) = K(x,(y * L(1 / z,u,w)) \ v5). K(x,(y * L(1 / z,u,w)) \ v5) = K(x,(y * L(z \ 1,u,w)) \ v5). T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). x != L(y,z,y) * T(z,y) | z * L(y,z,y) = x. x * L(y,x,y) = T(x,y) * T(y,y * x). T(x,y) * T(y,y * x) = x * L(y,x,y). T(x,y) * T(y,x * y) = x * L(y,x,y). T(x,y) * T(y,x * y) != z | L(y,T(x,y),y) * T(x,y) = z. L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). L(x,y,x) = L(x,T(y,x),x). L(x,T(y,x),x) = L(x,y,x). x != L(y,z,y) | ((y * (z * y)) / y) / z = x. ((x * (y * x)) / x) / y = L(x,T(y,x),x). (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). x * y != T((y \ z) * y,u) | y \ T(z,u) = x. x \ T(y,x) = ((x \ y) * x) / T(x,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. (x \ T(y,x)) * K(x,y) = x \ y. x * T(y,z) != u * y | u * K(z,y) = x. (x \ y) * K(y,x) = x \ T(y,x). (x \ T(y,x)) \ (x \ y) = K(x,y). K(x,y) = (x \ T(y,x)) \ (x \ y). x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). L(x,K(y,z),z \ y) = (z \ T(y,z)) \ ((z \ y) * (K(y,z) * x)). (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). x * (y * K(x * y,x)) = T(x * y,x). x * y != z \ T(z * x,u) | K((z \ 1) \ x,u) = y. K((x \ 1) \ y,x) = K(x * y,x). (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. K((1 / x) \ y,x) = K(x * y,x). K(x \ y,x \ 1) = K((x \ 1) * y,x \ 1). K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). x * (y * K(y * x,x)) = T(x * y,x). K(x * y,x) != z | K(y * x,x) = z. K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). x != y * (T(z,u) / y) | T(y * (z / y),u) = x. T(x * (y / x),y \ z) = T(x * (y / x),z / y). T(x * (y / x),z / y) = T(x * (y / x),y \ z). T(x,y) * (T(y,x) / x) = x * (y / x). x * (y / x) != T(x,y) * z | T(y,x) / x = z. T(x,y) * z != x * (y / x) | T(y,x) / x = z. T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. K(1 / x,y / (1 / x)) = x * (((x \ 1) \ y) \ y). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). K(x * (y \ z),u) = K(x * (((y \ 1) \ 1) \ z),u). K(x * (((y \ 1) \ 1) \ z),u) = K(x * (y \ z),u). K((x * x) * y,z) = K(x * ((x \ 1) \ y),z). K(x * ((x \ 1) \ y),z) = K((x * x) * y,z). K(L(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). K(K((x / (1 / y)) \ 1,z),u) = K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u). K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K((x / (1 / y)) \ 1,z),u). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). K(x,y * (z \ ((1 / z) \ u))) = K(x,y * (z \ ((z \ 1) \ u))). K(x,y * L(z,u,u)) = K(x,y * ((u \ 1) * (u * z))). K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z)). K(x,y \ (z * ((1 / z) * u))) = K(x,y \ (z * ((z \ 1) * u))). K(x,(y / z) / u) = K(x,(y / (1 / (1 / z))) / u). K(x,(y / (1 / (1 / z))) / u) = K(x,(y / z) / u). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). L(x,y,z * (u / z)) = L(x,y,(z \ u) * z). L(x,y,(z \ u) * z) = L(x,y,z * (u / z)). L(x,y,z * u) = L(x,y,u * ((u * z) / u)). L(x,y,z * ((z * u) / z)) = L(x,y,u * z). L(x,y,((1 / z) \ (z \ u)) * z) = L(x,y,z * (((z \ 1) \ u) / z)). L(x,y,(z \ 1) \ T(u,z)) = L(x,y,z * (((z \ 1) \ u) / z)). L(x,y,z * (((z \ 1) \ u) / z)) = L(x,y,(z \ 1) \ T(u,z)). L(x,y,z * u) = L(x,y,T(u,z) * z). L(x,y,T(z,u) * u) = L(x,y,u * z). K(x \ 1,y) = K(x \ ((z \ 1) * z),y). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). x != K(y,z) | z / T(z,y) = x. x / T(x,y \ ((z \ 1) \ u)) = K(y \ ((1 / z) \ u),x). K((x \ ((1 / x) \ y)) \ z,u) = K((x \ ((x \ 1) \ y)) \ z,u). R(x,y,K(y \ 1,z)) = x. (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). (x * y) \ (K(x \ 1,x) * y) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). x != y * ((z * (y \ u)) / z) | u * K(z,(u \ y) \ 1) = x. x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). x \ ((T(y,z) / x) \ y) = K(z,((T(y,z) / x) \ 1) \ ((T(y,z) / x) \ y)). K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). (x \ y) * K((x \ 1) \ (x \ y),z) != u | u = x \ T(y,z). (x \ y) * K((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. K((x \ y) \ z,y) = K((y / x) \ z,y). K((x / y) \ z,x) = K((y \ x) \ z,x). x != K((y \ z) \ 1,u) | K(z \ y,u) = x. K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,x). K((x / y) \ x,z) != u | K(y,z) = u. K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). K(x \ y,x) = K(x \ y,T(x,y)). K(x \ y,T(x,y)) = K(x \ y,x). K(x,T(y,y * x)) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,y) = K(x,T(y,y * x)). K(x,T(y,y * x)) = K(x,y). K(x,T(y,x * y)) = K(x,y). T(x,y \ (y \ 1)) != z | x * K(y * y,x) = z. (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). (((x * y) / x) \ x) * y = (y \ x) * T(y,x). x * y != z * T(y,u) | z * K(y,u) = x. (x \ y) * K(x,y) = ((y * x) / y) \ y. ((x * y) / x) \ x = (y \ x) * K(y,x). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). L(T(x,y) \ 1,x,y) = (x * y) \ y. L(T(x,y) \ 1,x,y) != z | (y * x) \ T(y,x) = z. (x * y) \ T(x,y) = (y * x) \ x. x \ y != L(T(z,u) \ 1,z,u) | x * ((z * u) \ u) = y. (x * y) * ((y * x) \ x) = T(x,y). T(x,y) = (x * y) * ((y * x) \ x). T(x,y) / ((y * x) \ x) = x * y. T(x,y / x) / (y \ x) = x * (y / x). x != y * ((y / z) / y) | (y / z) * K(y,1 / z) = x. (x / y) * K(x,1 / y) = T(x,(x / y) / x) / ((x / y) \ x). T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). L(x,y,T(z,u)) != w | L(x,y,z * K(u,z)) = w. K(K(x \ 1,x) * y,z) != u | K(y,z) = u. K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. K((x * ((y \ 1) \ 1)) \ z,u) != w | K((x * y) \ z,u) = w. K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. K(((1 / x) * y) \ z,u) != w | K(((x \ 1) * y) \ z,u) = w. K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K(x * L(1 / y,z,u),w) != v5 | K(x * L(y \ 1,z,u),w) = v5. K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. L(x,y,z) * u != L(x * K(w \ v5,v5 \ w),y,z) | K(w \ v5,v5 \ w) = u. K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). L(x,y,z) * u != L(x * K(1 / w,w),y,z) | K(1 / w,w) = u. K(1 / x,x) = K(1 / x,L(x,y,z)). K(1 / x,L(x,y,z)) = K(1 / x,x). L(x,y,z) * u != L(x * K(w,w \ 1),y,z) | K(w,w \ 1) = u. K(x,x \ 1) = K(x,L(x \ 1,y,z)). K(x,L(x \ 1,y,z)) = K(x,x \ 1). x * y != K(1 / z,L(z,u,w)) | K(1 / z,z) / y = x. K(1 / x,x) / L(x,y,z) = 1 / T(L(x,y,z),1 / x). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). R(x,y,z) * K(x \ u,R(x,y,z)) = R(u / (u / x),y,z). R(x / (x / y),z,u) = R(y,z,u) * K(y \ x,R(y,z,u)). R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. (x / T(y,z)) * K(y,u) = x / (K(u,y) * T(y,z)). x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). 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). x != K(y \ ((z \ 1) * z),u) | K(y \ 1,u) = x. K(((x \ 1) * y) \ 1,z) = L(K(y \ x,z),x,x \ 1). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). K((x \ y) \ z,z) = K(y \ (x * z),z). K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | (u * z) \ (u * (z * y)) = x. (x * y) \ (x * (y * K(z,u))) = K(L(z,y / z,x),u). K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z,u) \ 1 = K(y,L(x,z / x,u)). K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. x / L(K(y,z),u,w) = x * K(z,L(y,u / y,w)). x * K(y,L(z,u / z,w)) = x / L(K(z,y),u,w). K(x,y * x) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,y * x). x \ y != L(K(z,u),w * z,v5) | x * K(L(z,w,v5),u) = y. (x * (y * z)) * K(L(z,y,x),y) = x * (z * y). x != K(y,z * y) | K(y,y * z) = x. K(x,x * y) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,x * y). K(L(x,y,z),y * x) != u | K(x,x * y) = u. K(x \ y,y \ x) = K((1 / x) * y,y \ x). K((1 / x) * y,y \ x) = K(x \ y,y \ x). x != K((1 / y) * z,u) | K((y \ 1) * z,u) = x. K((x \ 1) * y,z) = L(K(x \ y,z),y,x \ 1). L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). K(x * y,y \ (x \ 1)) = K((x \ 1) \ y,y \ (x \ 1)). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). (x * (y * z)) * K(z,L(y,z,x)) != u | u = x * (z * y). (x * (y * z)) * K(z,L(y,z,x)) != u | x * (z * y) = u. ((x \ 1) * y) \ T((x \ 1) * y,z) = L(K(x \ y,z),y,x \ 1). x != K(L(y,z,u) \ 1,y) | K(y \ 1,y) = x. K(x \ 1,x) = K(L(x,y,z) \ 1,L(x,u,w)). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,x). x * y != K(L(z,u,w) \ 1,L(z,v5,v6)) | K(z \ 1,z) / y = x. K(x \ 1,x) / L(x,y,z) = L(x,y,z) \ 1. K(x,x \ 1) / L(x,y,z) = L(x,y,z) \ 1. K(1 / x,x) / L(x,y,z) = L(x,y,z) \ 1. x / y != y \ 1 | K(y,y \ 1) = x. K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). x * y != K(L(z,u,w),L(z,u,w) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). x != T(y * z,y) * T(y,z) | (y * z) * R(y,z,y) = x. (x * y) * R(x,y,x) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). K(x,y * (z * ((1 / z) * u))) = K(x,y * L(u,z,z)). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). x != L(K(1 / y,z),u,w) | K(1 / L(y,u,w),z) = x. K(1 / L(x,y,z),x) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). x \ y != L(K(z \ (u \ w),v5),u \ w,u) | x * K((u * z) \ w,v5) = y. x * K((y * z) \ x,u) = y * ((y \ x) * K(z \ (y \ x),u)). x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. K(L(x \ y,x,z),u) != w | L(K(x \ y,u),y,z) = w. K(x,y * L((z \ 1) * u,z,z)) = K(x,y * L((1 / z) * u,z,z)). K(x,y * L((1 / z) * u,z,z)) = K(x,y * L((z \ 1) * u,z,z)). K((x * (y * z)) \ ((x * y) * u),w) != v5 | L(K(L(z,y,x) \ u,w),u,x * y) = v5. R(x,K(y,z),L(z,u,w)) = x. R(x,K(y,z),R(z,u,w)) = x. x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). K(x,y) * ((x \ 1) \ y) != z | (y \ ((x \ 1) \ y)) * y = z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. R(x,y,K(y,z)) = x. (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). (x * y) * K(y \ 1,z) = (x * K(y \ 1,z)) * y. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). x / y = (T(x,y \ 1) / y) * K(y \ 1,x). (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). (T(x,y \ 1) / y) \ (x / y) != z | K(y \ 1,(1 / y) \ (x / y)) = z. K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). x \ y != K(z \ 1,(z \ 1) \ u) | x * K(z \ 1,u * z) = y. x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) != z | x * (y / x) = z. x * (y / x) = y * K((x \ 1) \ 1,y * (x \ 1)). x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). x \ y != (z \ 1) * (u / (z \ 1)) | x * (u * K(z \ 1,u * z)) = y. x * (y * K(x \ 1,y * x)) = L(y / (x \ 1),x,x). x * (y * K(x \ 1,y * x)) != z | L(y / (x \ 1),x,x) = z. a(x,y * K(z \ 1,y * z),u) = a(x,z * (y / (1 / z)),u). (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). x * K(y,x * (y \ 1)) = y * (x / y). x * y != z * (x / z) | K(z,z \ x) = y. K(x,x \ y) = K(x,y * (x \ 1)). K(x,y * (x \ 1)) = K(x,x \ y). (x / y) * z != x * K(y,x * (y \ 1)) | T(y,x / y) = z. T(x,y / x) = T(x,y * (x \ 1)). T(x,y * (x \ 1)) = T(x,y / x). (x / (y \ 1)) * K(y,x) = y * ((x / (y \ 1)) / y). K(x,y * (1 / x)) = K(x,x \ y). T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. T(x,y * (1 / x)) = T(x,y / x). 1 / K(x,x \ y) = K(y * (1 / x),x). K(x * (1 / y),y) = 1 / K(y,y \ x). T(x,y) = T(x,(y / (1 / x)) / x). T(x,(y / (1 / x)) / x) = T(x,y). x != 1 / K(y,z) | K(z,y) = x. K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). K(x * (y \ 1),y) = K(y \ x,y). x != K(y \ z,y) | K(z / y,y) = x. K(x / y,y) = K(x * (1 / y),y). K(x * (1 / y),y) = K(x / y,y). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x \ y != K(z \ u,z) | x * K(u * (z \ 1),z) = y. x * K(x * (y \ 1),y) = (y \ x) * y. K(x * y,1 / y) = K(x / (1 / y),1 / y). K(x / (1 / y),1 / y) = K(x * y,1 / y). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). x != K(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 / (1 / x)) = K(1 / x,y * x). K(1 / x,y / (1 / x)) != z | x * (((x \ 1) \ y) \ y) = z. x * (((x \ 1) \ y) \ y) = K(1 / x,y * x). x * y != K(1 / x,z) | T(x \ 1,z) = y. T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). T(x * K(y \ 1,x),y) = (((y * y) \ x) * y) / (1 / y). T(x \ y,(y / x) \ z) = T(x \ y,z / (y / x)). T(x \ y,z / (y / x)) = T(x \ y,(y / x) \ z). K(x,y \ z) * K(y,y \ z) = (z / y) / T(y \ z,x). a(x,y * K(z \ y,z),u) = a(x,z * (y / z),u). a(x,y * K(z \ 1,y * z),u) = a(x,(y * z) * (y / (y * z)),u). a(x,(y * z) * (y / (y * z)),u) = a(x,y * K(z \ 1,y * z),u). (x * (y * y)) * K(z,y \ 1) = (x * y) / T(1 / y,z). 1 / (x \ K(y,1 / x)) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). (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 \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). x \ y != K(z,u) | y * K(u,z) = x. x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). K(((1 / x) / y) \ z,u) != w | K(((x \ 1) / y) \ z,u) = w. K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). x * ((y \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). x != L(R(y,z,y),z,y) | y = x. x = T(y \ T(y * x,x),T(y * x,x)). T(x \ T(x * y,y),T(x * y,y)) = y. T(x,y) = T(x,x \ T(x * y,y)). T(x,x \ T(x * y,y)) = T(x,y). T(x,y) \ T(x * y,y) = R(y,x,y). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). 1 = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = 1. x * ((y * y) \ K(y \ 1,z)) = (x / y) * T(y \ 1,z). L(T(x,y),y,z) = (z * T(y,L(x,y,z))) \ (z * (y * x)). (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). x * y != T(z,u) * T(T(z,u) \ u,w) | x \ T(u * K(z \ u,w),u) = y. x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z). K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. K(x * y,T(x,z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(y * x,T(y,z)). (x * T(x \ y,y)) * (y \ 1) != z | K(x \ y,y) = z. K(x \ y,y) = K((x * (y \ 1)) \ 1,y). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). x != K(((1 / y) * z) \ u,w) | K(((y \ 1) * z) \ u,w) = x. K(((x \ 1) * y) \ 1,z) = (1 / x) * (y * T(y \ x,z)). (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). (1 / x) * (y \ T(y * x,z)) = K(((1 / x) * (y \ 1)) \ 1,z). K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). x != 1 / T((y * z) \ y,z) | ((y * z) \ y) \ 1 = x. ((x * y) \ x) \ 1 = K(y,y \ 1) / ((x * y) \ x). K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. K(x \ ((1 / y) \ z),u) != w | K(x \ ((y \ 1) \ z),u) = w. x != (y * z) \ (K(y \ 1,u) * z) | T((y * z) \ z,u) = x. T((x * y) \ y,x) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). K(1 / x,x) / L(x,y,z) != u | L(x,y,z) \ 1 = u. L(x,y,z) \ 1 = 1 / T(L(x,y,z),1 / x). 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). T(L(x,y,z),u) = T(T(1 / (1 / L(x,y,z)),u),1 / x). T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). (x / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). x != (((y * y) \ z) * u) / w | (y * y) \ ((z * u) / w) = x. (x * x) \ ((y * x) / (1 / x)) = T(y * K(x \ 1,y),x). T(x * K(y \ 1,x),y) = (y * y) \ ((x * y) / (1 / y)). x * ((y * y) * K(z,y \ 1)) = (x * y) / T(1 / y,z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). x * y != z * ((u \ (z \ x)) * u) | K((z * u) \ x,u) = y. K((x * y) \ z,y) = K((y * x) \ z,y). 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). K(x,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (1 / (x \ y)) * (x \ T(y,z)) = K((((x \ y) \ 1) * (x \ 1)) \ 1,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). x * y != (1 / ((z * u) \ z)) * K(u,u \ 1) | (((z * u) \ z) \ 1) / y = x. (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. x != (y * y) \ ((z * y) / (1 / y)) | T(z,y * y) = x. T(x,y * y) = T(x * K(y \ 1,x),y). T(x * K(y \ 1,x),y) = T(x,y * y). T(((x \ 1) * y) / (x \ 1),x) = T(y,x * x). T(x * K(y \ z,x),z \ y) = T(x,(z \ y) * (z \ y)). T((K(x \ 1,x) * y) / (x \ 1),x) = T((1 / x) \ y,x * x). x * (y * (y * K(z,y \ 1))) = (x * y) / T(1 / y,z). (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. L(T(x \ y,z) \ 1,x \ y,x) != u | T(x \ y,z) \ T((x \ y) * (y \ x),z) = u. T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). x * (y * z) != (z * T(y,z)) * T(z,y) | R(z,y,z) = x. R(x,y,x) = R(x,T(y,x),T(x,y)). R(x,T(y,x),T(x,y)) = R(x,y,x). R(x,T(y,x),T(x,y)) != z | R(x,T(y,x),x) = z. R(x,T(y,x),x) = R(x,y,x). L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). x != T((y * (z / u)) / y,u) | (y * (u \ z)) / y = x. (x * (y \ x)) / x = R(x / y,x / (x / y),x / y). R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. K(x,(y * z) \ ((y * y) * u)) != w | K(x,((y \ 1) * z) \ u) = w. T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). K(x * (y * z),K(L(z,y,x),u)) = K(L(z,y,x),u) \ ((x * (y * T(z,u))) / (x * (y * z))). K(L(x,y,z),u) \ ((z * (y * T(x,u))) / (z * (y * x))) = K(z * (y * x),K(L(x,y,z),u)). (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). (x * (y * T(z,u))) \ (x * (y * z)) != w | K(u,L(z,y,x)) = w. K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). x * (y * K(z \ 1,u)) != (x * y) * w | K(L(z,y,x) \ 1,u) = w. (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. K(1 / x,x) = K(1 / L(x,y,z),x). K(1 / L(x,y,z),x) = K(1 / x,x). K(1 / L(x,y,z),x) != u | K(1 / L(x,y,z),L(x,w,v5)) = u. K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). x \ y != K(1 / L(z,u,w),L(z,v5,v6)) | x * K(1 / z,z) = y. L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). x != T(K(y,z \ 1),u) | K(y,T(z,u) \ 1) = x. K(x,T(y \ z,u) \ 1) = L(T(K(x,z \ y),u),z \ y,w). L(T(K(x,y \ z),u),y \ z,w) = K(x,T(z \ y,u) \ 1). x != R(y,z,1 / u) | R(y,z,u \ 1) = x. R(1 / x,y,x \ 1) = T(K(y * (x \ 1),x \ 1) / x,y). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). ((x * y) / R(x,y,x)) * x = (y * x) * K(R(x,y,x),y * x). (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). (x * y) \ T(L(y,x,x),x \ 1) = R(1 / x,x * y,1 / x). L(x,(y / z) * z,u) = L(x,y * K(w * w,z),u). L(x,y,z) = L(x,y * K(u * u,w),z). L(x,y * K(z * z,u),w) = L(x,y,w). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). T(x,y) * T(T(x,y) \ y,z) != u | T(x * T(x \ y,z),y) = u. T(x * T(x \ y,z),y) = y * K((T(y,x) \ x) \ 1,z). x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * (z * (u \ L(u,w,v5)))) = K(x,y * (z * ((u \ 1) \ L(1 / u,w,v5)))). K(x,y * (z * ((u \ 1) \ L(1 / u,w,v5)))) = K(x,y * (z * (u \ L(u,w,v5)))). (1 / x) \ (L(y,x,x) * x) = x * (y * L(x,x,x)). T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). K(x,y \ (z * ((1 / z) * u))) = K(x,y \ L(u,z,z)). x != L(y,z,(u \ 1) \ w) | L(y,z,u \ w) = x. L(x,y,z \ T(u,z)) = L(x,y,z * (((z \ 1) \ u) / z)). L(x,y,z * (((z \ 1) \ u) / z)) = L(x,y,z \ T(u,z)). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. x * y != K(z,z \ u) * (z \ u) | x \ (u / z) = y. (x \ 1) \ (y / x) = K(x,x \ y) * ((x \ 1) \ (x \ y)). K(x,x \ y) * ((x \ 1) \ (x \ y)) = (x \ 1) \ (y / x). (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). x \ y != (z \ 1) * (K(z,u) * w) | x * (K(z,u) * ((z \ 1) * w)) = y. x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). ((x \ y) \ ((x \ 1) \ (x \ y))) * (x \ y) = (x \ 1) \ (y / x). x != a(y,z * (u / (1 / w)),v5) | a(y,z * (u / w),v5) = x. a(x,y * (z / y),u) = a(x,z * K(y \ 1,z * y),u). a(x,y * K(z \ 1,y * z),u) = a(x,z * (y / z),u). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). K((x * (y \ 1)) \ 1,z) != u | (x * T(x \ y,z)) * (y \ 1) = u. ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y. (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). T((K(x,x \ 1) * y) / (x \ 1),x) = T((1 / x) \ y,x * x). (x * y) * K(T(y,x),x * y) = ((y * x) / R(y,x,y)) * y. ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). (x * y) \ (x * (y * (x \ 1))) = R(1 / x,x * y,1 / x). L(x \ 1,y,x) = R(1 / x,x * y,1 / x). R(1 / x,x * y,1 / x) = L(x \ 1,y,x). x != K(y,z) * T(K(z,y),u) | K(u,K(y,z)) = x. K(x,K(y,z)) = (z * y) \ (y * (z * T(K(z,y),x))). (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. T(K(x,x \ 1) * (y / (x \ 1)),x) = T((1 / x) \ y,x * x). (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). K((x \ 1) \ y,x * x) = K(x \ y,x * x). (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)) = x \ L(R(x,y,z),x,x). ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). R(x,y,T(z,y)) = R(x,y * K(z,y),z). R(x,y * K(z,y),z) = R(x,y,T(z,y)). R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). K(R(x,y,z) \ 1,R(x,u,w)) * (y * z) = (K(x \ 1,x) * y) * z. x != L(1,y,z) | 1 = x. 1 = K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = 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 / x)) \ z,y) = K(y \ z,y). T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). (x * y) * K(T(y,x),x * y) != z | ((y * x) / R(y,x,y)) * y = z. ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. x != y \ L(z,y,y) | (y \ 1) * z = x. (x \ 1) * R(x,y,z) = (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)). (x \ 1) \ ((x \ R(x,y,z)) * (1 / x)) = (x \ 1) * R(x,y,z). (x \ 1) \ R(1 / x,y,z) = (x \ 1) * R(x,y,z). x != (y \ 1) * R(y,z,u) | y * R(1 / y,z,u) = x. x * R(1 / x,y,z) = (x \ 1) \ R(1 / x,y,z). (x \ 1) \ R(1 / x,y,z) = x * R(1 / x,y,z). K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | (y \ z) * T(y,z) = x. (x \ y) * T(x,y) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). x * y != (y \ z) * T(y,z) | y \ (z * K(y,z)) = x. x \ (y * K(x,y)) = y / R(x,x \ y,x). x / R(y,y \ x,y) = y \ (x * K(y,x)). T((x \ 1) * (x \ y),x \ (x \ 1)) = K(x,x \ 1) * (y / (x * x)). T(T(x,x \ 1) * y,L(x,x,x)) = y * L(R(x,y,L(x,x,x)),x,x). K(x,y) * ((K(x,y) \ 1) \ (x / z)) = (K(x,y) * T(x,y)) / z. K(x,y) * ((K(x,y) \ 1) \ (x / z)) = T(T(x,y),y) / z. ((x * T(T(x,x \ 1),x \ 1)) \ y) * T(x,x \ 1) = (x \ 1) * T(y,T(x,x \ 1)). x * (y * y) = (x * T(y,y \ 1)) / (y \ 1). (x * T(y,y \ 1)) / (y \ 1) = x * (y * y). T(x * (y * y),y \ 1) = (y \ 1) \ (x * T(y,y \ 1)). (x \ 1) \ (y * T(x,x \ 1)) = T(y * (x * x),x \ 1). x != T(y * (z * z),z \ 1) | (1 / z) \ (y * z) = x. (1 / x) \ (y * x) = (x \ 1) \ (y * T(x,x \ 1)). (x \ 1) \ (y * T(x,x \ 1)) = (1 / x) \ (y * x). (x \ 1) \ (y * ((x \ 1) \ 1)) = (1 / x) \ (y * x). ((1 / x) \ (y * x)) * (x \ 1) = T(y,x \ 1) * (1 / (x \ 1)). T(x,y \ 1) * (1 / (y \ 1)) = ((1 / y) \ (x * y)) * (y \ 1). T(x,y \ 1) * y = ((1 / y) \ (x * y)) * (y \ 1). ((1 / x) \ (y * x)) * (x \ 1) = T(y,x \ 1) * x. a(x,y,T(z,u \ (u \ 1))) != w | a(x,y,z / (u * u)) = w. a(x,y,(1 / z) / (u * u)) = a(x,y,z * K(u * u,1 / z)). a(x,y,z * K(u * u,1 / z)) = a(x,y,(1 / z) / (u * u)). a(x,y,z * K(u * u,1 / z)) = a(x,y,1 / ((u * u) * z)). x != a(y,z,1 / u) | a(y,z,u) = x. a(x,y,(z * z) * u) = a(x,y,u * K(z * z,1 / u)). a(x,y,z * K(u * u,1 / z)) = a(x,y,(u * u) * z). a(x,y,z) = a(x,y,z * K(u * u,1 / z)). a(x,y,z * K(u * u,1 / z)) = a(x,y,z). a(x,y,z * K(u * u,z \ 1)) = a(x,y,z). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. T(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = T(x,y). x != T(y,z) | y * K(y,z) = x. x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). K(x,T(y,T(x,z))) = K(x,y). T(x,T(y,T(x,z))) != u | T(x,y) = u. T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). L(x,y,T(T(z,u) / u,u \ 1)) = L(x,y,(u \ 1) * ((((u \ 1) \ 1) \ z) / (u \ 1))). L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z \ 1)). x != a(y,z * K(u \ 1,z * u),w) | a(y,u * (z / u),w) = x. a(x,y * (z / y),u) = a(x,(z * y) * (z / (z * y)),u). a(x,(y * z) * (y / (y * z)),u) = a(x,z * (y / z),u). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). x \ y != z \ (u * K(w,u \ z)) | x * ((z \ u) * K(w,u \ z)) = y. T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | T(1 / (1 / y),z) = x. T(1 / (1 / x),y) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). x \ y != ((z * K(u,w)) * v5) \ (z * v5) | x * K(w,((z / u) * v5) \ (z * v5)) = y. ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). K((x * y) \ (z * y),u) = (z * y) \ ((z * K(x \ z,u)) * y). (x * y) \ ((x * K(z \ x,u)) * y) = K((z * y) \ (x * y),u). (x * y) * K((z * y) \ (x * y),u) = (x * K(z \ x,u)) * y. L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | T(K(y,u),z) = x. T(K(x,y),K(x,z) * u) = L(T(K(x,y),u),u,K(x,z)). L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). x * L(T(K(y,z),K(y,u) * (K(y,u) \ x)),w,v5) = K(y,u) * ((K(y,u) \ x) * L(T(K(y,z),K(y,u) \ x),w,v5)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). x * (y * z) != (K(u \ 1,u) * y) * z | K(u \ 1,u) = x. K(x \ 1,x) = K(R(x,y,z) \ 1,R(x,u,w)). K(R(x,y,z) \ 1,R(x,u,w)) = K(x \ 1,x). x != K(y \ 1,y) | K(y \ 1,R(y,z,u)) = x. K(x \ 1,R(x,y,z)) = K(R(x,u,w) \ 1,R(x,v5,v6)). K(R(x,y,z) \ 1,R(x,u,w)) = K(x \ 1,R(x,v5,v6)). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). x \ y != K(R(z,u,w) \ 1,R(z,v5,v6)) | x * K(z \ 1,R(z,v7,v8)) = y. R(x,y,z) * K(x \ 1,R(x,u,w)) = 1 / (1 / R(x,y,z)). K(x \ 1,R(x,y,z)) \ 1 = R(x,u,w) * (1 / R(x,u,w)). R(x,y,z) * K(x \ u,R(x,y,z)) != w | R(u / (u / x),y,z) = w. R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). R(1 / x,y,z) = 1 / (1 / R(x \ 1,y,z)). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((1 / x) * y) \ y) \ 1 = 1 / R(T(x,(1 / x) * y),1 / x,y). 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. R(x,y,z) \ K(R(x,u,w),x \ 1) = 1 / R(x,y,z). R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) != z | T(x * y,x \ (1 / y)) = z. T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. R(T(x,y * K(z,y)),y,K(z,y)) = ((z * y) / z) \ (x * (y * K(z,y))). R(x,y,L(x,z,u)) = T(x * K(y * L(x,z,u),x),y). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). L(x,L(y,T(z,y),T(z,y)),u) = L(x,z * (T(z,y) * ((z * y) / z)),u). (x * y) \ ((1 / x) \ (L(y,x,x) * x)) = R(x,(x \ 1) * y,x). (x * y) \ (x * (y * L(x,x,x))) = R(x,(x \ 1) * y,x). L(L(x,x,x),y,x) = R(x,(x \ 1) * y,x). R(x,(x \ 1) * y,x) = L(L(x,x,x),y,x). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. K((x \ y) \ 1,T(x,z)) = K((T(x,z) \ T(y,z)) \ 1,x). K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). K(x \ y,T(y,z)) = K((T(y,z) \ T(x,z)) \ 1,y). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. 1 / K(x \ y,T(y,z)) = K(y,T(x,z) \ T(y,z)). K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). K(T(x,y),z \ x) = K(x,T(z,y) \ T(x,y)). K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). x = L(R(x,y,x),y,R(x,y,x)). L(R(x,y,x),y,R(x,y,x)) = x. (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. R(x,y,T(z,y * z)) = R(x,y,z). R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). (x \ y) * K(x \ ((x \ 1) \ y),z) = (1 / x) * T(x \ ((x \ 1) \ y),z). x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ 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). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / x) * y != K(z \ 1,z) / x | K(z \ 1,z) = y. K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). (x \ T(y,z)) * ((x \ y) \ 1) = (1 / x) * ((x \ y) \ T((x \ y) * x,z)). (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. x != (1 / y) * K(z \ (y \ 1),u) | K((z * y) \ 1,u) / y = x. K(((((x \ 1) \ y) \ 1) * x) \ 1,z) / x = T(y,z) / ((1 / x) \ y). T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. (1 / x) * ((y * x) / y) = (x \ T(y,x)) * ((x \ y) \ 1). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). x != (1 / y) * ((z * y) / z) | K(z,y) = x. K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). K(x * y,x) = (x \ T(x * y,x)) * (y \ 1). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. x != (y * K(z,u)) / u | y / T(u,z) = x. K(x,y) / T(z,z \ 1) = z \ K((z * ((x \ 1) / z)) \ 1,y). x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). x \ y != z / T(u,u \ w) | x * (z / ((u \ w) \ w)) = y. x * (K(y,z) / ((x \ 1) \ 1)) = K((x * ((y \ 1) / x)) \ 1,z). K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))) = L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). x != L(y,T(z,y),y) | L(y,z,y) = x. L(x,y / T(x,z),x) = T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). ((x * y) / z) * T(((x * y) / z) \ x,u) != w | (x * (y * T(y \ z,u))) / z = w. (x * (y * T(y \ x,y))) / x = x * K(y \ (x * (T(x,y) \ x)),y). x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. x * y != (x * ((z \ x) * z)) / x | K(z \ x,z) = y. K(x \ y,x) = K(((y * x) / y) \ y,x). K(((x * y) / x) \ x,y) = K(y \ x,y). K(x \ ((x * y) / x),x) = K(x \ y,x). K(x \ y,x) = K(x \ T(y,x),x). K(x \ T(y,x),x) = K(x \ y,x). K(x \ T(y,x),x) != z | T(y,x) \ ((T(x,y) \ y) * x) = z. T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). x \ y != K(z \ T(u,z),z) | x * K(z \ u,z) = y. x * K(x \ y,x) = T(y,x) / (T(y,x) / x). T(x,y) / (T(x,y) / y) = y * K(y \ x,y). x * K(y \ z,y) != (T(y,z) \ z) * y | x = T(z,y). (T(y,z) \ z) * y != x * K(y \ z,y) | x = T(z,y). (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). T(x,y) = (T(y,x) \ x) * ((y \ x) \ x). (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). T(L(x,x \ y,x),z) = L(T(x,z),x \ T(y,x),x). L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ z,x) = L(T(x,y),x \ T(z,x),x). L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). x != R(L(y,z,u),w,v5) | L(R(y,w,v5),z,u) = x. L(R(T(x,y),z,u),x \ w,x) = L(R(T(x,y),z,u),x \ T(w,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). x = T(x,R(x * K(y,x),z,u)). T(x,R(x * K(y,x),z,u)) = x. T(x \ y,R(y / x,z,u)) = x \ y. ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) != u | ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = u. ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). x * (K(x,y) * L(K(x,y) \ (x \ z),u,w)) = T(x,y) * L(T(x,y) \ z,u,w). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(x,y,z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). ((T(x,y) * z) * u) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). x != (y \ T(z,u)) * y | T((y \ z) * y,u) = x. T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). ((x * x) \ y) * T(x,x \ 1) = (x \ 1) * T(y,T(x,x \ 1)). ((x * x) \ y) * T(x,x \ 1) = (x \ 1) * T(y,x). (x \ y) * T(x,x \ 1) = (x \ 1) * T((x \ 1) \ y,x). (x \ 1) * T((x \ 1) \ y,x) = (x \ y) * T(x,x \ 1). x \ T(x * y,x) = (x \ y) * T(x,x \ 1). (x \ y) * T(x,x \ 1) = x \ T(x * y,x). x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). (x \ 1) * T((1 / x) \ (((1 / x) \ 1) \ y),x) = T(x \ T(y,1 / x),x * x). (x \ 1) * T((1 / x) \ (((1 / x) \ 1) \ y),x) = T(x \ T(y,x \ 1),x * x). (x \ 1) * T((1 / x) \ (x \ y),x) = T(x \ T(y,x \ 1),x * x). (x \ 1) * T(x \ ((x \ 1) \ y),x) = T(x \ T(y,x \ 1),x * x). (x \ 1) * T(x \ ((x \ 1) \ y),z) != u | x \ T(K(x,x \ 1) * y,z) = u. x \ T(K(x,x \ 1) * y,x) = T(x \ T(y,x \ 1),x * x). T(x \ T(y,x \ 1),x * x) = x \ T(K(x,x \ 1) * y,x). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | R(y * K(w,y),z,u) = x. R(x * K(y,x),z,x) = ((K(R(x,z,x),y) / R(x,z,x)) * x) \ x. ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). (((1 / x) * (y * ((x * x) * (1 / x)))) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * (T(z,x) \ z))) * x. (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). (x \ (y * K(x,z))) * x = ((x \ y) * x) * (T(z,x) \ z). ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. ((x \ y) * x) * K(x,z) = (x \ (y * K(x,z))) * x. (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). x * y != (z * y) * K(y,u) | z * K(y,u) = x. (x \ y) * K(x,z) = x \ (y * K(x,z)). x \ (y * K(x,z)) = (x \ y) * K(x,z). x * ((x \ y) * K(x,z)) = y * K(x,z). (x \ 1) * (((x \ 1) \ y) * z) != u | x * ((x \ y) * z) = u. x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). L(K(x,y),z,x) = K(x,y). R(x,y,K(x,z)) = x. (x * K(y,x)) * K(x,z) != u | T(x,z) * K(y,x) = u. T(x,y) * K(z,x) = x * (K(z,x) * K(x,y)). x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). (x * (y * K(x,z))) * u != (x * y) * K(x,z) | 1 = u. 1 = a(x,y,K(x,z)). a(x,y,K(x,z)) = 1. (x * (y * K(x,z))) * x = (x * y) * T(x,z). R(T(x,y),z,K(x,u)) = T(x,y). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). L(x,y,z) * (u * K(x,w)) = (L(x,y,z) * u) * K(x,w). (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). R(x,y,z) * (u * K(x,w)) = (R(x,y,z) * u) * K(x,w). (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). R(x,y,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). x \ (x * K(y,z)) = L(K(y,z),u,y). L(K(x,y),z,x) = u \ (u * K(x,y)). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(L(x,y,x),z) = K(x,z). x \ y != K(L(z,u,z),w) | x * K(z,w) = y. L(x,y,x) * K(x,z) = L(T(x,z),y,x). T(x,L(y,z,y)) = x / K(y,x). K(T(x / (x / y),x),z) = K(y,z). K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(T(x / y,x),z) = K(y \ x,z). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). x \ y != K(z,u) | x * K(R(z,w,z),u) = y. x * K(R(x,y,x),z) = T(x,z). K((x \ y) \ T(y,x),z) = K(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). R(T(x,y),z,T(x,u)) = T(R(x,z,x),y). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). R(T(x,y),z,x) = R(T(x,y),z,T(x,u)). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). x != y / K(z,y) | T(y,z) = x. T(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = T(x,y). x != y / K(z,u) | y * K(u,z) = x. x * K(x,y) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x * K(x,y). T(x,L(y,z,y)) != u | T(x,y) = u. L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. x \ y != T(z,L(u,w,u)) | x * T(z,u) = y. L(x,y,x) * T(z,x) = z * L(x,y,x). T(x,T(y / z,y)) = T(x,z \ y). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. x \ y = T(y / x,R(x,z,x)). T(x / y,R(y,z,y)) = y \ x. x \ y != T(z,R(u,w,u)) | x * T(z,u) = y. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,z)) = T(x,T(y,y * z)). T(x,T(y,y * z)) = T(x,T(y,z)). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,y) = K(x,R(y,z,y)). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. x \ y != K(z,R(u,w,u)) | x * K(z,u) = y. R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). K(x,T(y,z)) = K(x,T(y,y * z)). K(x,T(y,y * z)) = K(x,T(y,z)). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,L(y,z,y)) = K(x,y). K(x,T(y / z,y)) = K(x,z \ y). x \ y != T(z / u,R(u,w,u)) | x * (u \ z) = y. R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). T(x,T(y / z,y)) != u | T(x,z \ y) = u. T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x * y,x) = K(x * y,T(x,y)). K(x * y,T(x,y)) = K(x * y,x). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * (y \ w))). K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(y,z * y)) = K(x,T(y,z)). K(x * y,T(x,y)) != z | K(x * y,x) = z. K(x,y) = K(x,T(y,y \ x)). K(x,T(y,y \ x)) = K(x,y). K(x,(y \ z) \ z) = K(x,T(y,z)). 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,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). T(x,(y \ (z \ y)) \ 1) = T(x,T(z,y)). ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. L(K(x,y),z,x) != u | K(x,y) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x,y) != z | K(R(x,u,x),y) = z. K(x,T(R(y,z,y),u)) = K(x,T(y,u)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). x != R(T(y,z),y \ z,y) | (y \ z) \ z = x. (x \ y) \ y = R(T(x,y),x \ y,T(x,z)). R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. x != R(T(y,y * z),z,y) | T(y,z) = x. T(x,y) = R(T(x,x * y),y,T(x,z)). R(T(x,x * y),y,T(x,z)) = T(x,y). R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). R(x,y,T(z,u)) != T(z,y) | T(z,y * T(z,u)) = x. T(x,y * T(x,z)) = T(x,x * y). x != T(y,y * z) | T(y,z * y) = x. T(x,y * x) = T(x,y * T(x,z)). T(x,y * T(x,z)) = T(x,y * x). T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). T(x * K(y,x),z * x) = T(x * K(y,x),(x * K(y,x)) * z). T(x * K(y,x),(x * K(y,x)) * z) = T(x * K(y,x),z * x). x \ y != T(z / L(u,w,u),u) | x * (L(u,w,u) \ z) = y. x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). x \ y != T(z / R(u,w,u),u) | x * (R(u,w,u) \ z) = y. x * (R(x,y,x) \ z) = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). x * (K(y,x) * K(x,z)) != u * K(y,x) | T(x,z) = u. x * K(y,z) != z * (K(y,z) * K(z,u)) | T(z,u) = x. (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). x != y * K(z,z \ u) | (y / (z \ u)) * (u / z) = x. (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). x != R(y,z,u) * K(w,y) | K(w,y) * R(y,z,u) = x. K(x,y) * R(y,z,y) = R(y * K(x,y),z,y). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). x * (y * K(x \ 1,z)) = (x * y) * K(x \ 1,z). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). L(K(x,y),z,T(x,u)) = K(x,y). (T(x,y) * z) * K(x,u) != w | T(x,y) * (z * K(x,u)) = w. K(L(x,y,x) \ 1,z) = K(x \ 1,z). R(x,y,K(x \ 1,z)) = x. R(T(x,y),z,K(x \ 1,u)) = T(x,y). K(x \ 1,y) = K(R(x,z,x) \ 1,y). K(R(x,y,x) \ 1,z) = K(x \ 1,z). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) != u | T(x,y) = u. T(x,y) = T(x,y * K(x \ 1,z)). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). K(R(x \ 1,y,z) \ 1,u) != w | R(K(x,u),y,z) = w. R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). K(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = K(x,y). K(x \ 1,y * K(x,z)) = K(x \ 1,y). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). K(x \ y,z) = K(x \ y,T(z,y \ x)). K(x \ y,T(z,y \ x)) = K(x \ y,z). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). K(x \ 1,x * y) = K(x \ 1,y * x). K(x \ 1,y * x) = K(x \ 1,x * y). x * T(x \ 1,y * x) = K(x \ 1,x * y). x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x,x). x != K((y \ 1) \ 1,z) | K(y,z) = x. K(x,y) = R(K(x,y),z,x \ 1). R(K(x,y),z,x \ 1) = K(x,y). R(x,y,z \ 1) != u | R(x,y,z) = u. R(K(x,y),z,x) = K(x,y). K(x,y) * (z * (x \ 1)) = (K(x,y) * z) * (x \ 1). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). L(x,y,K(x,z)) = x. L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). L(x,y,K(z,x)) = x. L(x,y,K(R(x,z,u),w)) = x. L(T(x,y),z,K(x,u)) = T(x,y). (K(x,y) * z) / x = K(x,y) * (z / x). (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). x \ y != L(z,u,K(w,z)) | x * z = y. (K(x,y) * z) * y = K(x,y) * (z * y). L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). (K(R(x,y,z),u) * (w * x)) / (w * x) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). T(x,y) * z = K(x,z) * (T(x,y) * T(z,x)). K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. L(x,x \ y,x) != z | T(y / (y / x),y) = z. T(x / (x / K(y,z)),x) = K(y,z). x \ y != L(K(z,u),w,K(z,v5)) | x * K(z,u) = y. (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). T(K(x,y) * z,K(x,y)) = z * K(x,y). T((T(x,y) / z) / (x / z),T(x,y) / z) = K((z \ 1) \ (x / z),y). x / y != K(y,z) * z | y * z = x. x * (y / x) = K(x,y / x) * y. K(x,y / x) * y = x * (y / x). K(x,x \ y) * y = x * (y / x). T(x,K(y,y \ x)) = x. x * y != z * (x / z) | T(K(z,z \ x),x) = y. T(K(x,x \ y),y) = K(x,x \ y). x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). T(x * y,K(y,x)) = x * y. K(x,y) \ (x * y) = y * x. (x * y) / (y * x) = K(x,y). K(x,y) = (x * y) / (y * x). ((x \ y) * x) / y = K(x \ y,x). K(x \ y,x) * y = (x \ y) * x. K(x,y) * (y * x) = x * y. x \ (y * (y \ z)) != u | z / u = x. x / ((y \ x) * y) = K(y,y \ x). x * (y * z) != z * y | x = K(z,y). x * (y * z) != z * y | K(z,y) = x. (x * y) / (y * x) != z \ y | T(y,x) = z. x \ y != (z * y) / (y * z) | T(y,z) = x. K(x,y) * K(z,y * x) = (x * y) / T(y * x,z). (x * y) / T(y * x,z) = K(x,y) * K(z,y * x). K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). x * y != K(z,u) * (u * z) | x \ (z * u) = y. (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). (x * y) * z != K(x,y) * ((y * x) * u) | L(u,y * x,K(x,y)) = z. K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). T(x * K(y,z),K(z,y)) = K(y,z) * x. T(x,K(y,z)) != (K(z,y) * u) * K(y,z) | u = x. x = K(y,z) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. T(x,K(y,z)) = (K(y,z) \ x) * K(y,z). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). T(x * K(y,z),K(z,y)) != u | u = K(y,z) * x. T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. T(x * y,K(y,z)) = K(z,y) * (x * T(y,z)). K(x,y) * (z * T(y,x)) = T(z * y,K(y,x)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. x != a(y,z,u) | a(y,z * K(w \ 1,w),u) = x. a(x,y * K(z \ 1,z),u) = K(w,v5) * (K(v5,w) * a(x,y,u)). K(x,y) * z != u / x | T(u / T(x,y),K(x,y)) = z. T(x / T(y,z),K(y,z)) = K(z,y) * (x / y). K(x,y) * z != u / (K(x,y) \ 1) | T(u,K(x,y)) = z. T(x,K(y,z)) = K(z,y) * (x / (K(y,z) \ 1)). K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). x / (K(y,z) * x) = K(z,y). x * (y * (y \ (x \ z))) != u | z = u. x = K(y,z) \ (K(z,y) \ x). K(x,y) \ (K(y,x) \ z) = z. K(x,x \ y) * z != x * (y / x) | y = z. x = K(y \ x,y) * (y * (x / y)). K(x \ y,x) * (x * (y / x)) = y. K(x,y) * z != x \ K(x,y) | x \ 1 = z. x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. K(x,y) * z != K(u,x) * K(x,y) | K(u,x) = z. K(x,y) = K(z,y) * (K(x,y) * K(y,z)). K(x,y) * (K(z,y) * K(y,x)) = K(z,y). x * y != R(x,z,z \ 1) | a(x,z,z \ 1) = y. a(K(x,y),z,z \ 1) = K(y,x) * R(K(x,y),z,z \ 1). K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). K(x,y) * z != K(y,u) * K(x,y) | K(y,u) = z. K(x,y) = K(x,z) * (K(x,y) * K(z,x)). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). x \ y != K(z,u) * (K(u,z) * w) | x * w = y. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. x != y * (K(z,u) * x) | K(u,z) = y. x * (K(y,z) * u) != u | K(z,y) = x. x / (K(y,z) * x) != u | u = K(z,y). 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)) != u | K(z,y) * (x * K(y,z)) = u. K(x \ K(y,z),u) = K((K(z,y) * x) \ 1,u). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). K(x,y \ K(z,u)) = K(x,(K(u,z) * y) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). (x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y). L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). (x \ 1) / (x \ K(x,y)) = K(y,x). x != K(y,z) * T(T(z,u),w) | T(T(z,u),w) * K(y,z) = x. T(T(x,y),z) * K(u,x) = K(x,u) \ T(T(x,y),z). K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). x != K(y,y \ z) * z | y * (z / y) = x. x * (y / x) = K(x \ y,x) \ y. K(x \ y,x) \ y = x * (y / x). x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),x). x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. a(K(x,y),z \ 1,z) = K(y,x) * R(K(x,y),z \ 1,z). K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). K(x,y) * K(z,y) = K(y,z) \ K(x,y). K(x,y) \ K(z,x) = K(z,x) * K(y,x). K(x,y) * (K(y,x) * z) != u | u = z. K(x,y) * (K(y,x) * z) != u | z = u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). (K(x,y) \ 1) \ z = K(x,y) * z. ((x * K(y,z)) \ x) \ u = K(y,z) * u. K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. R(K(x,y),z,u) \ w = K(y,R(x \ 1,z,u) \ 1) * w. K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. L(K(x,y),z,u) \ w = K(y,L(x \ 1,z,u) \ 1) * w. K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. L(K(x,y),z,u) \ w = K(y,L(x,z / x,u)) * w. K(x,L(y,z / y,u)) * w = L(K(y,x),z,u) \ w. L(T(K(x,y),z),u,w) \ v5 = K(y,L(T(x \ 1,z),u,w) \ 1) * v5. K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. T(x,K(y,z)) = (K(y,z) \ 1) * (x * K(y,z)). (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). (K(x,y) * z) \ (K(x,y) * (K(x,y) * u)) = ((K(x,y) \ 1) * z) \ u. K(x,y) * (K(x,y) * (x / z)) = T(T(x,y),y) / z. T(K(x,y) * z,K(x,y)) != u | u = z * K(x,y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. K(x,y) * K(z,y) != u \ K(x,y) | K(y,z) = u. x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). x * y != K(x \ 1,z) | T(x \ 1,z) = y. T(x \ 1,x * y) = T(x \ 1,y * x). T(x \ 1,y * x) = T(x \ 1,x * y). T(x \ 1,y * x) != z | ((x \ 1) \ y) \ y = z. ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). x / T(y \ 1,y * x) = (y \ 1) \ x. T(x,T(y \ 1,y * z)) = T(x,T(y \ 1,z)). K(x,T(y \ 1,y * z)) = K(x,T(y \ 1,z)). (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). K(x,T(y \ 1,z)) = K(x,T(y \ 1,y \ z)). K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). T(x * T(y,z),K(z,y)) != u | K(y,z) * (x * y) = u. L(x \ 1,y,K(x,z)) = x \ 1. (x \ 1) * y != K(x,z) * (u * (x \ 1)) | T(K(x,z) * u,x \ 1) = y. T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). T(K(x,y) * (z / T(x,u)),T(x,u)) != w | T(x,u) \ (K(x,y) * z) = w. K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). (x * y) / T(y * x,z) != u | u = K(x,y) * K(z,y * x). (x * y) / T(y * x,z) != u | K(x,y) * K(z,y * x) = u. ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). T(x,y \ 1) * K(z,y) = T(x * K(z,y),y \ 1). T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). x != T(y,y \ 1) * K(z,y) | (y * (K(z,y) / y)) * y = x. (x * (K(y,x) / x)) * x = T(x * K(y,x),x \ 1). T(x * K(y,x),x \ 1) = (x * (K(y,x) / x)) * x. (x \ 1) \ K(y,x) = (x * (K(y,x) / x)) * x. (x * (K(y,x) / x)) * x = (x \ 1) \ K(y,x). (x * (1 / T(x,y))) * x = (x \ 1) \ K(y,x). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. L(K(x \ 1,y) * ((1 / x) \ z),K(y,x \ 1),1 / x) = (K(y,x \ 1) / x) \ z. L(K(x,y),z,L(x,u,w)) = K(x,y). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(L(x,y,L(x,z,u)),w) = K(x,w). R(x,y,z) \ K(x,u) = (R(x,y,z) \ 1) * K(x,u). (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). R(K(x,y),z,L(x,u,w)) = K(x,y). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * y) * R(x,z,u) = K(x,y) * ((y * x) * R(x,z,u)). K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x \ y != T(K(z \ K(z,u),w),u) | x * K(z \ 1,w) = y. x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). T(T(x * K(y,x),z * x),u) = T(T(x * K(y,x),u),z * (x * K(y,x))). T(T(x * K(y,x),z),u * (x * K(y,x))) = T(T(x * K(y,x),u * x),z). a(x,y * K(z \ 1,z),u) != w | w = a(x,y,u). a(x,y * K(z \ 1,z),u) != w | a(x,y,u) = w. a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. a(x,1 / y,z) != u | a(x,y,z) = u. a(x,y,1 / z) != u | a(x,y,z) = u. a(x \ 1,y,z) != u | a(x,y,z) = u. a(x,y,(z * z) * u) != w | a(x,y,u) = w. a(x,y,z \ 1) != u | a(x,y,z) = u. a(x * (y * y),z,u) != w | a(x,z,u) = w. a(x,y,(z \ 1) \ u) != w | a(x,y,z \ u) = w. a(x,y * (z * z),u) != w | a(x,y,u) = w. a(x * (y * (z * z)),u,w) != v5 | a(x * y,u,w) = v5. a(x / (1 / y),z,u) != w | a(x / y,z,u) = w. a(x \ (y * (1 / z)),u,w) != v5 | a(x \ (y * z),u,w) = v5. a(x,y,L(T(z,z \ 1),u,w)) != v5 | a(x,y,z \ (z \ L(z,u,w))) = v5. x != K(y,z) * (K(z,y) * u) | u = x. T(x * y,z) = (K(x,y) * K(x * y,z)) * (y * x). (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). x * (y * z) != T(z * y,u) | (y * z) \ T(z * y,u) = x. (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,z) = u. L(x \ 1,x,y) = L(x \ 1,x,K(x,z) * y). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). T(T(x * K(y,x),z),u * (x * K(y,x))) != T(w,z) | T(x * K(y,x),u * x) = w. K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). x != (y * z) / z | y = x. K(R(x,y,z),u) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). (x * R(x \ (x * y),z,u)) * K(y,w) = R(x,y,K(y,w)) * (R(y,z,u) * K(y,w)). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). x * (R(y,z,u) * K(y,w)) = (x * R(y,z,u)) * K(y,w). (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). L(K(x,y),R(x,z,u),w) = K(x,y). (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). K((x * (y \ 1)) \ 1,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | K(y \ z,y * (z \ 1)) = x. K(x \ y,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (1 / y),x * y) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). K(x \ (y \ 1),(y \ 1) \ x) != z | K(x \ (y \ 1),y * x) = z. K(x \ (y \ 1),y * x) = K(x \ (1 / y),x * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). K(x \ (1 / y),x * y) != z | K((x * y) \ 1,x * y) = z. K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). (((1 / x) * (y * x)) / (1 / x)) / T(1 / x,T(x * y,x * x)) = y * (x * x). (((x \ 1) * (y * x)) / (x \ 1)) / T(1 / x,T(x * y,x * x)) = y * (x * x). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,(x * y) * (y \ 1)). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,R(x,y,y \ 1)). x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). x * y != T(1 / z,(u * z) / u) | x \ (z \ 1) = y. (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. 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). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). x * ((y * z) / y) != z | T(y,z) \ y = x. T(x,(1 / x) * (y * x)) \ x = L(y,x,x \ 1) \ ((1 / x) * (y * x)). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = (T(y,z) * x) * R((T(y,z) * x) \ u,w,v5). x != (y * z) * R((y * z) \ u,w,v5) | y * (z * R(z \ (y \ u),w,v5)) = x. T(x,y) * (z * R(z \ (T(x,y) \ u),w,v5)) = z * (T(T(x,z),y) * R(T(T(x,z),y) \ (z \ u),w,v5)). x * (T(T(y,x),z) * R(T(T(y,x),z) \ (x \ u),w,v5)) = T(y,z) * (x * R(x \ (T(y,z) \ u),w,v5)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (y \ 1) * R((y \ 1) \ 1,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). x != a(L(y \ 1,z,u),w,v5) | a(L(y,z,u),w,v5) = x. a(L(L(x \ 1,y,z),u,w),v5,v6) = a(L(x,y,z) \ (L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w)),v5,v6). a(L(x,y,z) \ (L(x \ 1,y,z) \ L(L(x \ 1,y,z),u,w)),v5,v6) = a(L(L(x \ 1,y,z),u,w),v5,v6). x != y * ((y \ z) * K(u,y \ z)) | z * K(u,(z \ y) \ 1) = x. x * K(y,(x \ (1 / z)) \ 1) = ((T(y,(1 / z) \ x) * (x * z)) / T(y,(1 / z) \ x)) / z. ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). x * ((y * z) * R((y * z) \ y,u,w)) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). (x * y) \ ((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) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). L(x * R(x \ 1,y,z),u,w) = L(x,u,w) * R(L(x,u,w) \ 1,y,z). L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) != u | ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = u. ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * R(x \ 1,L(x,y,z),x \ 1),y,z). L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). L(x * R(x \ 1,x,1 / x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). L(x * T(1 * (x \ 1),x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). L(x * T(x \ 1,x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). L(K(1 / x,x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). K(1 / L(x,y,z),x) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). K(1 / x,x) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). L(x,y,z) \ 1 = (x / L(x,y,z)) * (x \ 1). (x / L(x,y,z)) * (x \ 1) = L(x,y,z) \ 1. (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. K(x \ 1,x) * (L(x \ 1,y,z) \ 1) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). x * L(y,z,u) != L(y * T(y \ 1,L(y,z,u)),z,u) | L(y,z,u) \ 1 = x. L(x,y,z) \ 1 = (x \ 1) / (x \ L(x,y,z)). (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. (L(x,y,z) * (x \ L(x,y,z))) \ u = (x \ 1) \ ((L(x,y,z) \ (1 / L(x,y,z))) * u). (x \ 1) \ ((L(x,y,z) \ (1 / L(x,y,z))) * u) = (L(x,y,z) * (x \ L(x,y,z))) \ u. x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. (x \ 1) \ ((L(x,y,z) \ 1) * (L(x,y,z) \ u)) = (L(x,y,z) * (x \ L(x,y,z))) \ u. (x \ 1) \ ((L(x,y,z) \ 1) * u) != w | x \ ((L(1 / x,y,z) \ 1) * u) = w. x \ ((L(1 / x,y,z) \ 1) * (L(x,y,z) \ u)) = (L(x,y,z) * (x \ L(x,y,z))) \ u. x \ ((L(x,y,z) * L(x \ 1,y,z)) \ u) = (L(x,y,z) * (x \ L(x,y,z))) \ u. x * ((L(x,y,z) * (x \ L(x,y,z))) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. x != K(y \ 1,y) * (z \ 1) | z \ K(y \ 1,y) = x. L(x \ 1,y,z) \ K(x \ 1,x) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). x != L(y \ 1,z,u) \ K(y \ 1,y) | (y \ 1) * (L(y \ 1,z,u) \ y) = x. (x \ 1) * (L(x \ 1,y,z) \ x) = (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1). (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). x * y != (z \ 1) * (L(z \ 1,u,w) \ z) | x \ (L(1 / z,u,w) \ 1) = y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) != u | T(x,x \ (L(x \ 1,y,z) \ 1)) = u. T(x,x \ (L(x \ 1,y,z) \ 1)) = x. T(x,x \ (((y * x) \ y) \ 1)) = x. (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). x != y * R(y \ 1,z,u) | y \ R(y,z,u) = x. L(x,y,z) \ R(L(x,y,z),u,w) = (z * y) \ ((z * (y * x)) * R((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) \ R(L(z,y,x),u,w). (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) \ L(R(z,u,w),y,x). (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) \ L(R(z,u,w),y,x). (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) \ L(R(z,u,w),y,x). (x * y) \ (x * (y * (z \ R(z,u,w)))) = L(z,y,x) \ L(R(z,u,w),y,x). L(x \ R(x,y,z),u,w) = L(x,u,w) \ L(R(x,y,z),u,w). L(x,y,z) \ L(R(x,u,w),y,z) = L(x \ R(x,u,w),y,z). L(L(x,y,z),u,w) \ L(L(R(x,v5,v6),y,z),u,w) = L(L(x,y,z) \ R(L(x,y,z),v5,v6),u,w). L(L(x,y,z),u,w) \ L(L(R(x,v5,v6),y,z),u,w) = L(L(x,y,z) \ L(R(x,v5,v6),y,z),u,w). L(L(x,y,z),u,w) \ L(L(R(x,v5,v6),y,z),u,w) = L(L(x \ R(x,v5,v6),y,z),u,w). 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 * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). ((x * ((y / z) / x)) * z) * (y \ u) = (z * (y \ u)) * (x * (((z * (y \ u)) \ u) / x)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((x / y) / x)) * y = T(x,y \ 1). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). T(x,y \ 1) / y = x * ((x / y) / x). (x * (((y * z) / y) / x)) * y != u | y * (x * (z / x)) = u. x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). x * y != (z * ((z / u) / z)) * u | x \ T(z,u \ 1) = y. x \ T(y,x \ 1) = y * ((x \ y) / y). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. L(x,y,z * ((T(z,u \ 1) / u) / z)) = L(x,y,((z / u) / z) * z). x \ (y \ T(x,y \ 1)) = (y \ x) / x. x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x * y != z * ((z / (1 / u)) / z) | x \ (T(z,u) / (1 / u)) = y. x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. x * y != T(x * z,x \ 1) | ((x \ 1) \ z) * (x \ 1) = y. ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != z | (x \ y) * x = z. (x \ y) * x = ((x \ 1) * y) * (y / ((x \ 1) * y)). ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * y != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. L(x,y \ T(y,z),y) = x. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * y != T(x,z) * u | T(x,z) * (x \ u) = y. T(x,y) * (x \ z) = (x \ T(x,y)) * z. (x \ T(x,y)) * z = T(x,y) * (x \ z). x * (K(x,y) * z) = T(x,y) * z. L(x,K(y,z),y) = x. L(x,K(y,z),z) = x. a(x,K(x,y),z) = 1. L(x,K(y,z),1 / z) = x. x * (K(y,x) * z) = (x * K(y,x)) * z. (x * K(y,x)) * z = x * (K(y,x) * z). L(K(x,y) * (z \ u),K(y,x),z) != w | (z * K(y,x)) \ u = w. (x * K(y,x)) \ z = K(x,y) * (x \ z). L(x,K(y,z),z) != u | x = u. ((1 / x) * (K(x,y) * z)) * 1 = (K(x,y) * (1 / x)) * z. ((1 / x) * K(y,x)) \ z = K(x,y) * ((1 / x) \ z). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. T(x,y) \ z = K(x,y) \ (x \ z). K(x,y) \ (x \ z) = T(x,y) \ z. x * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x \ (T(x,y) * z) = K(x,y) * z. x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. x * (K(x,y) * ((x \ 1) * z)) != u | L(K(x,y) * z,x \ 1,x) = u. L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). (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). T(x,y) * (x \ z) = K(x,y) * 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) * T(z,x * z) | L(z,x,z) = y. L(x,y,x) = K(y,x) * T(x,y * x). K(x,y) * T(y,x * y) = L(y,x,y). x * y != T(x,z) * T(z,z * x) | L(z,x,z) = y. L(x,y,x) = K(y,x) * T(x,x * y). K(x,y) * T(y,y * x) = L(y,x,y). (x * y) * z != T(x * y,x) * T(x,y) | R(x,y,x) = z. R(x,y,x) = K(x * y,x) * T(x,y). K(x * y,x) * T(x,y) = R(x,y,x). x * y != T(x,z) * (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. a(x,K(x,y) * z,u) = (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u). (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). (x / y) * (K(x / y,y) * z) = (y \ x) * z. x \ (T(x,y) * z) != u | K(x,y) * z = u. x \ (T(y,z) * K(y,z)) = (x \ y) * (K(y,z) * K(y,z)). (x \ y) * (K(y,z) * K(y,z)) = x \ (T(y,z) * K(y,z)). x * y = T(x,z) * (K(z,x) * y). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) = T(y,x) \ z. K(x,y) * (T(x,y) \ z) != u | u = x \ z. K(x,y) * (T(x,y) \ z) != u | x \ z = u. x * y != z \ (T(z,u) * w) | x \ (K(z,u) * w) = y. T(x,y) \ (K(x,y) * z) = x \ z. x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. K(x,y) * z != u | T(x,y) * (x \ z) = u. K(R(x,y,z),u) * (R(T(x,u),y,z) \ w) = R(x,y,z) \ w. x \ y != K(x,z) * u | T(x,z) \ y = u. K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. x * (y \ z) != T(y,u) \ z | K(u,y) = x. T(x,y) \ z != u * (x \ z) | K(y,x) = u. K(x,y) * (y \ z) != u | u = T(y,x) \ z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. x != K(y,z) * K(y,u) | K(y,u) * K(y,z) = x. K(x,y) * K(x,z) = T(x,z) * (x \ K(x,y)). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). x * y != K(z,u) * (K(u,z) * w) | x \ w = y. T(x,y) \ z = x \ (K(y,x) * z). x \ (K(y,x) * z) = T(x,y) \ z. x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). T(x,y) * z != u | x * (K(x,y) * z) = u. x * (K(x,y) * (x \ z)) = K(x,y) * z. T(x,y) * (x \ L(x,z,u)) != w | (x \ L(x,z,u)) * T(x,y) = w. (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). T(x * y,z) * L(u,y,x) = K(x * y,z) * (x * (y * u)). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). (x \ y) * ((y / x) \ z) = K(y / x,x) * z. T(x,y) * ((1 / x) \ z) = K(x,y) * ((x * x) * z). K(x,y) * (x * z) != u | T(x,y) * z = u. T(L(x,y,y),z) * a(y,y,x) = K(L(x,y,y),z) * x. L(x,y,K(z \ 1,u) * w) = L(x,y,T(z \ 1,u) * (z \ w)). L(x,y,T(z \ 1,u) * (z \ w)) = L(x,y,K(z \ 1,u) * w). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). T(x,y) * (K(x,z) * u) = K(x,y) * (T(x,z) * u). K(x,y) * (T(x,z) * u) = T(x,y) * (K(x,z) * u). K(x,y) \ (y * z) = T(y,x) * z. K(x,y) * (T(y,x) * z) = y * z. (x * y) * z != T(x,u) * y | T(K(x,u),x * y) = z. T(K(x,y),x * z) = K(T(x,z),y). (T(x,y) * z) / (x * z) = K(x,y). K(x,y) \ (T(x,y) * z) = x * z. x * y != z * T(u,z) | x \ (u * z) = y. K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). R(K(x,y),x * z,u) = ((T(x,y) * z) * u) / ((x * z) * u). ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. (T(x,y) * x) * z = K(x,y) * ((x * x) * z). K(x,y) * ((x * x) * z) = (T(x,y) * x) * z. K(x,y) \ (T(x,y) * z) != u | x * z = u. T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). K(x,y) * (T(x,y) * z) = T(T(x,y),y) * z. K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. (T(x,y) * z) / x = K(x,y) * ((x * z) / x). K(x,y) * ((x * z) / x) = (T(x,y) * z) / x. (x * y) / (T(x,z) * y) = K(z,x). K(x,y) * (T(y,x) * z) != u | u = y * z. K(x,y) * (T(y,x) * z) != u | y * z = u. x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). T(x,y) / y = K(x,y) * (x / y). K(x,y) * (x / y) = T(x,y) / y. K(x,y / z) * (z * T(z \ y,x)) = y. (x * y) / (K(z,x) * y) = T(x,z). T(x,y) \ (x * z) = K(y,x) * z. x * y != (z * K(u,w)) * K(w,u) | z / y = x. x / (K(y,x * K(z,u)) * K(u,z)) = T(x * K(z,u),y). x * y != z * K(z,u) | x \ T(z,u) = y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. T(x,y) * z != x * u | x * (T(x,y) \ u) = z. x * (T(x,y) \ z) = K(y,x) * z. (x * y) / (K(z,x) * y) != u | u = T(x,z). (x * y) / (K(z,x) * y) != u | T(x,z) = u. T(x,y) \ (x * z) != u | K(y,x) * z = u. (x * (y * z)) * a(x,T(y,u),K(u,y) * z) = (x * T(y,u)) * (K(u,y) * z). (x * (y * K(z,y))) * u = (x * T(y,z)) * ((K(z,y) * K(z,y)) * u). (x * T(y,z)) * ((K(z,y) * K(z,y)) * u) = (x * (y * K(z,y))) * u. a(x * K(y,x),z,u) = a(T(x,y),z,u). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). a(x,y * K(z,y),u) = a(x,T(y,z),u). L(x,y * K(z,y),u) = L(x,T(y,z),u). T(x,y) * (K(y,T(x,y)) * z) = x * z. T(x,y) * (T(y,x) * z) = x * (y * z). (x \ 1) * L(x,y,z) = T(x,x \ 1) \ L(x,y,z). T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z). K(x,L(L(y,z,u),w,v5)) * (L(y,w,v5) * (L(L(y,w,v5),z,u) \ v6)) = T(L(L(y,z,u),w,v5),x) \ (L(y,w,v5) * v6). K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (T(x,y) \ z) * x = K(y,x) * ((x \ z) * x). K(x,y) * ((y \ z) * y) = (T(y,x) \ z) * y. x != K(y,z) \ K(u,y) | K(u,y) * K(z,y) = x. K(x,y) * K(z,y) = y * (T(y,z) \ K(x,y)). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x * (T(x,y) \ z) != u | K(y,x) * z = u. x \ y != T(z,u) \ w | x * (K(u,z) * (z \ w)) = y. x * (K(y,x) * (x \ z)) = K(y,x) * z. x \ y != z \ (K(u,z) * w) | x * (T(z,u) \ w) = y. x * (T(T(x,y),z) \ u) = K(y,x) * (K(z,T(x,y)) * u). K(x,y) * (K(z,T(y,x)) * u) = y * (T(T(y,x),z) \ u). x \ y != T(z,u) \ L(T(z,u),w,v5) | x * T(z \ L(z,w,v5),u) = y. x * T(x \ L(x,y,z),u) = K(u,x) * L(T(x,u),y,z). K(x,y) * L(T(y,x),z,u) = y * T(y \ L(y,z,u),x). L(x,y,z * (T(z \ 1,u) \ w)) = L(x,y,K(u,z \ 1) * w). K(x,T(L(1 / y,z,u),w) \ v5) = K(x,L(y \ 1,z,u) \ (K(w,L(1 / y,z,u)) * v5)). K(x,L(y \ 1,z,u) \ (K(w,L(1 / y,z,u)) * v5)) = K(x,T(L(1 / y,z,u),w) \ v5). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = T(x,x \ y) \ R(T(x,x \ y),z,u). T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). x \ (T(y,x) * z) = T(x,y) \ (y * z). T(x,y) \ (y * z) = x \ (T(y,x) * z). x \ y != T(z,u) * (K(u,z) * w) | x * (z * w) = y. K(x,y) * (y * z) = y * (K(x,y) * z). T(x,y) * (x \ (T(y,x) * z)) = y * z. K(x,y) \ (y * z) != u | T(y,x) * z = u. (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). (T(x,y) \ x) * (T(x,y) * z) = x * z. T(K(x,y),z) = K(T(x,x \ z),y). K(T(x,x \ y),z) = T(K(x,z),y). x != K(y,z) | L(K(y,z),y,u) = x. L(K(x,y),x,z) = (T(x,y) * u) / (x * u). x \ T(x,y) = (T(x,y) * z) / (x * z). (T(x,y) * z) / (x * z) = x \ T(x,y). K(x,y) \ (T(x,y) * ((T(x,y) \ 1) \ z)) != u | ((T(x,y) \ 1) * (x \ 1)) \ z = u. ((T(x,y) \ 1) * (x \ 1)) \ z = x * ((T(x,y) \ 1) \ z). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). x != y / T(z,u) | (y / z) * K(u,z) = x. (x / y) * K(x,y) = K(x,y) * (x / y). K(x,y) * (x / y) = (x / y) * K(x,y). (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. T(x,y) * (K(y,x) * z) != u | u = x * z. T(x,y) * (K(y,x) * z) != u | x * z = u. L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. K(x,y) * z != u | y * (T(y,x) \ z) = u. x * (T(x,y) \ (1 / x)) != z | 1 / T(x,y) = z. 1 / T(x,y) = K(y,x) * (1 / x). K(x,y) * (1 / y) = 1 / T(y,x). (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. K((x \ y) \ y,z) = T(K(x,z),y). K(x \ y,z) = T(K(y / x,z),y). T(K(x / y,z),x) = K(y \ x,z). x \ y != K(z,u) * (1 / u) | x * (1 / T(u,z)) = y. x * (1 / T(y,x)) = T(x,y) * (1 / y). T(x,y) * (1 / y) = x * (1 / T(y,x)). K((x \ y) \ y,z) != u | K(T(x,y),z) = u. K(T(x,y),z) = T(K(x,z),y). K(T(x,y),z) = T(K(x,z),y * x). T(K(x,y),z * x) = K(T(x,z),y). x != T(K(y,z),u) | K(y,z) * K(u,K(z,y)) = x. K(x,y) * K(z,K(y,x)) = K(T(x,z),y). x != T(K(y,z),z \ 1) | K(y,z) = x. K(x,y) = K(T(x,y \ 1),y). K(T(x,y \ 1),y) = K(x,y). x != T(K(y,z),K(z,u)) | K(y,z) = x. K(x,y) = K(T(x,K(y,z)),y). K(T(x,K(y,z)),y) = K(x,y). x \ y != T(K(z,u),w) | x * K(T(z,w),u) = y. (K(x,y) * z) * K(T(y,z),x) = z. x * K(T(y,x),z) = K(y,z) * x. 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). T(K(x,y),z) \ 1 = K(y,T(x,z)). T(T(x,K(y,z)),y) = K(x,y) * T(x,K(y,z)). K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). x != K(y \ z,u) | K((z \ y) \ 1,u) = x. K((x \ y) \ 1,z) = T(K(x / y,z),x). T(K(x / y,z),x) = K((x \ y) \ 1,z). T(K(x,y),L(y,z,u)) != w | K(x,y) = w. K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). x \ y != T(K(z / u,w),z) | x * K(u \ z,w) = y. x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,z). x != K(T(y,y \ z),u) | T(K(y,u),z) = x. T(K(x,y),z) = T(K(x,y),(x \ z) * x). T(K(x,y),(x \ z) * x) = T(K(x,y),z). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | u = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. K(x,y) = K(x,K(x \ 1,z) * y). K(x,K(x \ 1,y) * z) = K(x,z). (K(x,y) * z) * K(y,T(x,z)) = z. x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). (K(x,y) * z) \ z = K(y,T(x,z)). (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. T(K(x,y),z) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),z). x \ y != T(K(z,u),w) \ 1 | x * K(u,T(z,w)) = y. K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). K(x,T(y,z)) != u | T(K(x,y),z) = u. K(x * y,x) = T(K(x * y,x),y). T(K(x * y,x),y) = K(x * y,x). x != T(K(y,z),u) | K(T(y,u),z) = x. K(T(x,y),z) = K(x,T(z,y)). x != T(K(y,z),u) | K((y \ u) \ u,z) = x. K((x \ y) \ y,z) = K(x,T(z,y)). x != T(K(y,z),u) | K(T(y,y \ u),z) = x. K(T(x,x \ y),z) = K(x,T(z,y)). x != T(K(y,z),u) | K(u,K(z,y)) * K(y,z) = x. K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). x != T(K(y \ 1,z),u) | K(T(y,u) \ 1,z) = x. K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). x != T(K(y / z,u),y) | K(z \ y,u) = x. K(x \ y,z) = K(y / x,T(z,y)). K(x / y,T(z,x)) = K(y \ x,z). x != T(K(y,z),K(y,u)) | K(y,z) = x. K(x,y) = K(x,T(y,K(x,z))). K(x,T(y,K(x,z))) = K(x,y). K(x,y) * K(K(x,y),z) = K(x,T(y,z)). x != T(K(y,z),R(y,u,w)) | K(y,z) = x. K(x,y) = K(x,T(y,R(x,z,u))). K(x,T(y,R(x,z,u))) = K(x,y). x != T(K(y,z),K(u,y)) | K(y,z) = x. K(x,y) = K(x,T(y,K(z,x))). K(x,T(y,K(z,x))) = K(x,y). x \ y != T(K(z,u),w) | x * K(z,T(u,w)) = y. x * K(y,T(z,u)) = x * T(K(y,z),u). K(x,T(y,z)) != u | K(x,(y \ z) \ z) = u. K(x,(y \ z) \ z) = T(K(x,y),z). K(x,T(y,z)) != u | K(x,T(y,y \ z)) = u. K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,y \ z) = T(K(x,z / y),z). T(K(x,y / z),y) = K(x,z \ y). K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). x \ y != K(z,T(u,w)) | x * T(K(z,u),w) = y. x * T(K(x,y),z) = T(x,T(y,z)). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). L(K(x,T(y,z)),u,w) = T(L(K(x,y),u,w),z). K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). K(x,T(y,z)) != T(u,z) | K(x,y) = u. T(x,y) != K(z,T(u,y)) | K(z,u) = x. x * (y * K(z,T(u,y))) = x * (K(z,u) * y). x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). T(x,K(y,T(z,x))) != u | T(x,K(y,z)) = u. K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). L(K(x,T(y \ z,u)),y \ z,w) = K(x,T(z \ y,u) \ 1). K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). K(x,T(y,z)) \ 1 = K(y,T(x,z)). K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). x != K(y,T(z / u,z)) | K(y,u \ z) = x. K(x,y \ z) = K(T(x,z),z / y). K(T(x,y),y / z) = K(x,z \ y). x \ y != K(z,T(u,w)) | x * K(T(z,w),u) = y. x * K(T(x,y),z) = T(x,T(z,y)). K(T(x,y),z) != u | T(K(x,z),y * x) = u. T(K(x,y),z * x) = K(x,T(y,z)). K(x,y) != z | (u * K(y,x)) \ u = z. (x * K(y,T(z,u))) \ x = K(z,T(y,u)). K(T(T(x,y),z),u) != w | T(T(x * K(u,x),y),z) \ T(T(x,y),z) = w. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). K(T(x,x \ y),z) != u | T(K(x,z),y) = u. T(K(x,y),z) = K(x,T(y,x \ z)). K(x,T(y,x \ z)) = T(K(x,y),z). x \ y != K(T(z,u),w) | x * K(z,T(w,u)) = y. x * K(y,T(x,z)) = (T(y,z) * x) / T(y,z). (T(x,y) * z) / T(x,y) = z * K(x,T(z,y)). x * y != K(T(z,u),w) | x \ K(z,T(w,u)) = y. x \ K(y,T(x,z)) = T(x,T(y,z)) \ 1. T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(T(x,y),z / y) = K(x,y \ z). K(x,y) = K(x,T(y,T(T(x,z),u))). K(x,T(y,T(T(x,z),u))) = K(x,y). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(T(x,(1 / y) \ z),z * y) = K(x,z * y). K(x,y) = K(x,T(y,K(z,L(x,u,w)))). K(x,T(y,K(z,L(x,u,w)))) = K(x,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). T(x * K(y,T(x,z)),T(y,z)) = x. x * K(T(x,y),z) != u | T(x,T(z,y)) = u. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). a(x,y,K(z,T(y,u))) = 1. R(x,y \ 1,K(z,T(y,u))) = x. T(x,T(y,z)) = x / K(y,T(x,z)). x / K(y,T(x,z)) = T(x,T(y,z)). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. T(x / T(y,T(z,u)),y) = y \ (x * K(z,T(y,u))). x / K(y,T(z,u)) = x * K(z,T(y,u)). x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. x / (y * K(z,T(y,u))) = (x / y) * K(y,T(z,u)). K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,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)) * u != w | K(y,T(x,z)) * w = u. K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. K(x,T(y,z)) \ (y * u) = T(y,T(x,z)) * u. L(K(x,T(y,z)),y,u) = K(x,T(y,z)). K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). R(x,(y * K(z,y)) \ 1,K(u,y)) = x. (x * y) / T(T(x,y),z) = K(z,x) * y. x != K(y,z) * (z \ u) | T(z,y) \ u = x. T(x,y) \ z = (x \ z) * K(y,T(x,x \ z)). (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. x \ y != K(z,u) * w | x * (w * K(z,T(u,w))) = y. K(x,y) * (z * K(y,T(x,z))) = z. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * y != K(z,(u / x) \ 1) * x | K(z,(x \ u) \ 1) = y. K(x,(y \ z) \ 1) = K(x,T((z / y) \ 1,y)). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). R(x,y,K(z,T(u,y))) = ((x * y) * K(z,T(u,y))) / (K(z,u) * y). ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = R(x,y,K(z,T(u,y))). x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). (x * y) * K(z,y * x) = K(z,y * x) * (x * y). K(x,y * z) * (z * y) = (z * y) * K(x,y * z). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. K(x,T(y,x \ 1) \ z) = K(x,y \ z). T(x,y) = T(x,K(z,x \ 1) * y). T(x,K(y,x \ 1) * z) = T(x,z). K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,z / y)) = T(K(x,y),z). T(K(x,y),z) != u | K(x,T(y,z)) = u. x != K(y,T(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),z * y). T(K(x,y),z * y) = T(K(x,y),z). x != K(y,z \ u) | K(y,(u \ z) \ 1) = x. K(x,(y \ z) \ 1) = T(K(x,y / z),y). T(K(x,y / z),y) = K(x,(y \ z) \ 1). K(x,y \ z) != T(u,z) | K(x,z / y) = u. T(x,y) != K(z,u \ y) | K(z,y / u) = x. x != K(y,T(z,u)) | T(K(y,z),u * z) = x. T(K(x,y),z * y) = T(K(x,y),y * z). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). K(x,T(y,z)) != u | K(T(x,z),y) = u. K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). T(T(x,y),y / z) = K(x,z \ y) * T(x,y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). L(x,K(y,z \ u),u / z) != w | x = w. K(x,y) * T(T(y,x),z) = T(y,T(z,x)). (x / y) * K(y \ x,z) = T(x / y,T(z,y)). x * K(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = x * K(x,T(y,z)). K(x,T(y,z * x)) = K(x,T(y,z)). x \ y != T(K(z,u),w * z) | x * K(z,T(u,w)) = y. (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). K(x / y,y \ z) = K(y \ x,z / y). K(x / y,T(y,z)) = K(y \ x,T(y,z)). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). T(x / y,T(z,y)) = K(y \ x,z) * (x / y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. T(x,T(y,T(T(x,z),u))) = K(x,y) * x. a(x,T(y,z),K(u,y)) = 1. R(x,K(y,z),L(T(z,u),w,v5)) = x. L(K(x,y),T(y,z),u) = K(x,y). (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). T(x,K(y,1 / x) * z) = T(x,z). K(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(y,z)). K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). T(K(x,y),z / y) = T(K(x,y),z). x != K(y,z) | K(L(y,u,y),z) = x. K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(x,T(y,z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,z)). K(L(x,y,z),T(u,z * (y * x))) = K(L(x,y,z),T(u,z * y)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). K(K(x,1 / y) * z,y) = y / T(y,z). K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). T(x,y * x) * K(y,x) = L(x,y,x). K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). T(x,x * y) * K(y,x) = L(x,y,x). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). T(x,y) * K(x * y,x) = R(x,y,x). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). T(x,y) != K(z,L(T(u,y),w,v5)) | K(z,L(u,w,v5)) = x. L(K((x \ y) \ z,u),z,x) != w | K(y \ (x * z),u) = w. K(x \ (y * z),T(z,u)) = K((y \ x) \ z,T(z,u)). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). R(x,y \ K(y,z),K(u,y)) = x. R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) != u | (x * K(z,y)) / (y \ 1) = u. (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). 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. T(K(x,y),z * y) != u | K(x,T(y,z)) = u. T(K(x,y),z) != u | K(T(x,z),y) = u. x * y != T(z,u * z) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(y,x) * K(x,y * x). K(x,y) * K(y,x * y) = y \ L(y,x,y). x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(y,x) * K(x,x * y). K(x,y) * K(y,y * x) = y \ L(y,x,y). (x * K(y,x)) \ L(x,y,x) = K(x,x * y). T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). x \ R(x,y,x) = K(x * y,x) * K(x,y). K(x * y,x) * K(x,y) = x \ R(x,y,x). L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. R(x,x \ T(x,y),z) = x. R(x,K(x,y),z) = x. R(T(x,y),K(x,z),u) = T(x,y). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). (x \ T(x,y \ 1)) * (y * z) != u | y * ((x \ T(x,y \ 1)) * z) = u. x * ((y \ T(y,x \ 1)) * z) = T(y,x \ 1) * (y \ (x * z)). T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). R(x,K(y,x),z) = x. (x * K(y \ x,z)) * (y \ 1) != u | T(x * (y \ 1),z) = u. T(x * (y \ 1),x) = x * (K(y \ x,x) * (y \ 1)). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). L(x,y,z * K(u,z)) = (z * (K(u,z) * y)) \ ((z * K(u,z)) * (y * x)). (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). L(x,y,z * (K(u,z) * (w \ 1))) = L(x,y,(z * K(u,z)) * w). ((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. (x / (x / y)) * z = y * (K(y \ x,y) * z). (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). T(T(x,x * (K(y,x) * z)) * K(y,T(x,(x * K(y,x)) * z)),u) = T(T(x * K(y,x),u),z * (x * K(y,x))). R(x,y,z) * (K(u,x) * w) = (R(x,y,z) * K(u,x)) * w. (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). (x \ K(y,x \ 1)) \ z = K(x \ 1,y) * ((x \ 1) \ z). K(x \ 1,y) * ((x \ 1) \ z) = (x \ K(y,x \ 1)) \ z. ((x * y) / x) \ z = K(y,x) * (y \ z). (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. (x / (x / y)) \ z = K(y,x / y) * (y \ z). L(K(x,y) * (x \ z),x * K(y,x),y) = (T(y,x) * x) \ (y * z). x * y != z * T(z \ y,u) | K((z / y) \ 1,u) = x. K((x / y) \ 1,z) = K(y / x,z). x * (y \ z) != z * T(z \ (y \ z),u) | K(y \ 1,u) = x. K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). x * y != (z * y) * T((z * y) \ y,u) | K(z \ 1,u) = x. K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). x / (y * T(y \ x,z)) = K(z,x / y). x / (y * T(y \ x,z)) != u | K(z,x / y) = u. K(1 / (x / y),z) = K(y / x,z). x != K(y / z,y) | K(z \ y,y) = x. K(x \ y,y) = K((x / y) \ 1,y). K((x / y) \ 1,y) = K(x \ y,y). K(((x \ 1) / (y / x)) \ 1,z) != u | (T(y,z) / x) / (y / x) = u. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). K((x / (y * x)) \ 1,z) = K(y,z). T(x * K(y / z,x),z / y) = T(x,(z / y) * (z / y)). K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K((1 / y) / x,z),u). (x \ y) * K(x \ 1,y) = (y \ (x \ y)) * y. (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). K(x / (y * x),z) != u | K(1 / y,z) = u. x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). K(x,y) * (z * x) != u | (K(x,y) * z) * x = u. (K(x,y) * z) * x = T(x,y) * T(z,x). K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. x * y != K(z,u) * (u \ w) | x \ (T(u,z) \ w) = y. x \ (T(y,x) \ z) = K(x,y) * (x \ (y \ z)). K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z). x * y != K(z,u) * u | x \ (u * K(z,u)) = y. x \ (y * K(x,y)) = K(x,y) * (x \ y). x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. R(K(x,y),x,z) = K(x,y). L(x,y,K(y,z)) = x. L(x,y,K(z,y)) = x. L(x,y \ 1,K(y,z)) = x. L(x,y,K(y,z)) != u | x = u. K(x,y) * (y * z) = (K(x,y) * y) * z. (K(x,y) * y) * z = K(x,y) * (y * z). a(K(x,y),y,z) = 1. x != L(y,z,K(u,z)) | x = y. L(x,y,K(z,y)) != u | u = x. L(x,T(y,z),K(u,y)) = x. x != K(y / z,u) | K((z / y) \ 1,u) = x. K((x / y) \ 1,z) = R(K(y / x,z),y / x,u). R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). x != K(y,z) | L(y \ T(y,T(z,y)),T(z,y),y) = x. L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). R(K(R(x,y,z),u),R(x,y,z),y * z) != w | ((T(x,u) * y) * z) / ((x * y) * z) = w. ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). (x \ K(x,y)) * z = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). L(x,T(T(y,z),u),K(w,y)) = x. L(x,y,K(z,y) \ 1) != u | x = u. L(x,T(T(y,z),u),K(w,y)) != v5 | x = v5. K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. x != K(y,z) * K(z,u) | K(z,u) * K(y,z) = x. K(x,y) * K(z,x) = T(x,z) \ T(x,y). T(x,y) \ T(x,z) = K(x,z) * K(y,x). a((a(x,x,x) * y) * K(x \ 1,a(x,x,x) * y),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). a(x,(y * z) / y,u) = a(x,T(z,y),u). L(x,(y * z) / y,u) = L(x,T(z,y),u). L(x,y / z,u) = L(x,T(z \ y,z),u). L(x,T(y \ z,y),u) = L(x,z / y,u). T(x,y) * (T(x,y) * z) = x * (T(T(x,y),y) * z). x != y * (z * u) | (y * z) * L(u,z,y) = x. (x * y) * L(z,y,x) = T(x,y) * (T(y,x) * z). T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). T(x,K(y,z)) * (K(y,T(z,x)) * u) = x * (K(y,z) * u). x * y != z * (K(u,z) * (z \ w)) | x \ (K(u,z) * w) = y. (x * K(y,x)) \ (K(y,x) * z) = x \ z. x \ y != z \ (u * L(w,z \ u,z)) | x * ((z \ u) * w) = y. T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). K(T(x,y) \ (y * z),u) != w | K(x \ (T(y,x) * z),u) = w. (T(x,y) \ x) \ z = T(x,y) * (x \ z). R(x \ T(x,y),x,z) = x \ T(x,y). R((x / y) \ T(x / y,z),x / y,y) != u | (y * T(y \ x,z)) / x = u. (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). T(x / y,K(y,x)) = x / y. R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). x * y != z * (1 / T(u,z)) | x \ (T(z,u) * (1 / u)) = y. (1 / T(x,y)) \ (T(y,x) * (1 / x)) = T(y,1 / T(x,y)). L((1 / T(x,y)) \ z,1 / T(x,y),y) = (T(y,x) * (1 / x)) \ (y * z). T(K(x / y,z),x) != u | K(y \ x,z) = u. K((x * T(x \ y,z)) / T(y / x,z),u) * (x * T(x \ y,z)) = (x * T(x \ y,z)) * K(x,u). K(x,(y * z) \ z) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). K(x,T(y \ 1,z)) != u | K(x,(y * z) \ z) = u. K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). K(x,T(T(y,z),u)) != w | K(x,T(T(y,u),z)) = w. R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). x * y != K(z,T(u,w)) * T(z,w) | x \ T(T(z,w),u) = y. K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). K(T(x,y),z) * u != w | w = K(x,T(z,y)) * u. K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). K(x,(y \ z) \ 1) != T(u,y) | K(x,y / z) = u. T(x,y) != K(z,(y \ u) \ 1) | K(z,y / u) = x. T(K(x,y / z),y) != u | K(x,z \ y) = u. T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). (T(x,y) \ 1) * T(x \ 1,T(x \ 1,y)) = x \ (1 / T(x,y)). K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. L(T(T(x,y),z) \ (K(x,y) * u),T(T(x,y),z),K(y,x)) = T(x,T(z,y)) \ u. x != y * K(y,z) | T(y,z) = x. T(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. T(x,T(y,x \ y)) = T(x,y). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x,T(x * y,y)) = T(x,x * y). K(T(x / y,z),y) = K(y \ x,T(y,z)). x != K(y,z) * y | T(y,z) = x. T(x,y) = T(x,T(y,T(T(x,z),u))). T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). K(x,y) = K(K(z,1 / y) * x,y). K(K(x,1 / y) * z,y) = K(z,y). K(K(x,y) * z,y \ 1) = K(z,y \ 1). K(K(x,y \ 1) * z,y) = K(z,y). K(T(x,1 / y) / z,y) = K(x / z,y). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(x \ y,z) = K(T(x,z \ 1) \ y,z). K(T(x,y \ 1) \ z,y) = K(x \ z,y). K(x * K(y,z \ 1),z) = K(x,z). K(x * K(y,z \ u),u \ z) = K(x,u \ z). x \ (((y * x) / y) * z) = K(y,x) * z. x \ y = K(z,x) * (((z * x) / z) \ y). K(x,y) * (((x * y) / x) \ z) = y \ z. x != y * (K(z,y) * (y \ u)) | K(z,y) * u = x. K(x,y) * z = ((x * y) / x) * (y \ z). ((x * y) / x) * (y \ z) = K(x,y) * z. (x / y) * K(x,y) != z | T(x,y) / y = z. T(x * y,x) / x = y * (K(x,y) * K(x * y,x)). x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. x * y != ((z * u) / z) * w | x \ (u * (K(z,u) * w)) = y. (x * ((y * z) / y)) \ (z * (K(y,z) * x)) = K((y * z) / y,x). ((x * y) / x) * (x / y) = y * (x / T(y,x)). x \ y != K(z,u) * (z \ w) | x * (((u * z) / u) \ w) = y. x * (((y * x) / y) \ z) = T(x,y) * (x \ z). ((x * y) / x) \ x != z | (y \ x) * K(y,x) = z. (x \ y) * K(x,y) = K(x,y) * (x \ y). K(x,y) * (x \ y) = (x \ y) * K(x,y). K(x,y) * z = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = K(y,x) * z. x / (y * T(y \ x,z)) != u | K(z,(y / x) \ 1) = u. K(x,(y / z) \ 1) = K(x,z / y). x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). K(x,1 / (y / z)) = K(x,z / y). K(x,((y * x) / z) \ 1) != u | (y * (x * ((y \ z) / x))) / z = u. (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). K(x,y \ 1) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,z \ 1). K(x,y \ 1) = K(x,(y \ z) / z). K(x,(y \ z) / z) = K(x,y \ 1). K(x,y \ K(y,z)) = K(x,z / (z * y)). K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). x != K(y,z \ 1) | K(y,u \ (u / z)) = x. K(x,y \ (y / z)) = K(x,u / (z * u)). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). K(x,y \ 1) * z = z * K(x,z \ (y \ z)). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. K(x,y / (z * y)) != u | K(x,z \ 1) = u. ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). x * y != T(x,z) * T(u,x) | T(K(x,z) * u,x) = y. T(K(x,y) * z,x) = K(x,y) * T(z,x). (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). x != K(y,z) * (y \ u) | (y * K(z,y)) \ u = x. (x * K(y,x)) \ y = x \ (y * K(x,y)). R(K(x,y),y,z) = K(x,y). (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. (x / (x / y)) * z = K(y \ x,y) * (y * z). K(x \ y,x) * (x * z) = (y / (y / x)) * z. R(K(x,y),y \ 1,z) = K(x,y). x != K(y,z / u) | K(y,(u / z) \ 1) = x. K(x,(y / z) \ 1) = R(K(x,z / y),z / y,u). R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). x != K(y,z / (u * z)) | K(y,u \ 1) = x. K(x,y \ 1) = R(K(x,z / (y * z)),z / (y * z),u). R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. K(R(x,y,z) \ 1,y) = K(x \ 1,y). K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). (x * T(y \ z,u)) / T(z / y,u) = x * K(y \ z,T(y,u)). K((x \ y) * x,x \ 1) = K(y,x \ 1). K(T(x / (y / (y / z)),1 / u) / (y / z),u) = K((x / z) / (z \ y),u). x != K(y * (1 / z),z) | K(z \ y,z) = x. K(x \ y,x) = K((1 / x) * y,x). K((1 / x) * y,x) = K(x \ y,x). x != K(y * (1 / (1 / z)),u) | K(y * z,u) = x. K(x * y,1 / y) = K((1 / (1 / y)) * x,1 / y). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). K((x \ 1) * y,x) = K(x \ y,x). K((1 / (1 / x)) * y,1 / z) != u | K(x * y,z \ 1) = u. K(x * y,x \ 1) = K((1 / x) \ y,1 / x). K((1 / x) \ y,1 / x) = K(x * y,x \ 1). K((1 / x) * (y * x),x) = K(T(y,x),x). ((1 / x) * y) \ K(x \ y,x) = L(y / x,x,x) \ 1. x != K(y,z) * u | T(z,y) \ (z * u) = x. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). (x \ y) \ ((y / x) * z) = K(x,x \ y) * z. K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. x * y != K(z,u) * (z * w) | x \ (T(z,u) * w) = y. ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. L(K(x,y) * ((y \ x) \ z),K(y,x),y \ x) = (K(y,x) * (y \ x)) \ z. x != K(y,z) * u | T(y,z) * (y \ u) = x. T(x,y) * (x \ z) = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). (x / (x / y)) \ (y * z) = K(y,y \ x) * z. K(x,y / (y * z)) * y = y * K(x,z \ 1). T(x,y) * K(z,y) = T(x * K(z,y),y). T(x * K(y,z),z) = T(x,z) * K(y,z). 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) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). x != y \ (z * K(y,z)) | z / R(y,y \ z,y) = x. x / R(y,y \ x,y) = (y * K(x,y)) \ x. K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). T(x * K(y,z),z) * z = T(x,z) * (z * K(y,z)). T(x,y) * K(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) = T(x,y) * K(y,z). x \ y != K(z,u) * T(K(z,u) \ w,z) | x * T(w,z) = y. K(x,y) * T(z,y) = T(K(x,y) * z,y). T(K(x,y) * z,y) = K(x,y) * T(z,y). x * y != K(z,u) * T(K(z,u) \ w,z) | x \ T(w,z) = y. x \ T(x * y,z) = (x \ K(z,u)) * T((x \ K(z,u)) \ y,z). (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). x \ (y * T(x,z)) = T(y,x) * K(x,z). x != y * K(z,u) | (y / z) * T(z,u) = x. (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) * y = T(x,y) * T(y,z). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. K(x,y \ 1) * (y * y) != z | T(y \ 1,x) \ y = z. K(x,y \ z) * K(y,y \ z) != u | T(y \ z,x) \ (z / y) = u. K(x,y) * ((x \ 1) * z) != u | T(x,y) * ((x * x) \ z) = u. K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. K(x,y) \ z != u | x * (T(x,y) \ z) = u. K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. (x * y) / (K(z,T(x,u)) * y) != w | T(x,T(z,u)) = w. x * (K(y,x) * K(x,z)) != u | K(y,x) * T(x,z) = u. (x \ (1 / T(x,y))) \ z != u | T(x,y) * ((x \ 1) \ z) = u. T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. x * K(y,z) != u | (x / T(z,y)) * z = u. (K(x,y) / T(x,x * y)) * x = x \ R(x,y,x). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x,y \ z) * K(x * ((z \ y) \ 1),x) = x \ R(x,(z \ y) \ 1,x). T(x \ R(x,y,x),y) = K(x,y) * T(K(x * y,x),y). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). K(x * y,y) * K(y,x) = y \ R(y,x,y). K(x / y,x) != z | K(y \ x,x) = z. K(x / y,T(z,x)) != u | K(y \ x,z) = u. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. T(x * y,T(z,y \ 1)) != u | T(x * y,T(z,x)) = u. K(x,(y \ z) / z) != u | K(x,y \ 1) = u. x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. x != y * (z * K(y,u)) | (y * z) * K(y,u) = x. (x * y) * K(x,z) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). (x / y) * (K(y \ x,y) * z) = (y \ x) * z. K(x \ y,x) * (x \ z) != u | u = ((x \ y) \ y) \ z. K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. T(x,y) * (x \ K(x,z)) != u | (x \ K(x,z)) * T((x \ 1) \ 1,y) = u. (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. T(x * y,K(y,z)) = y * T(x,T(y,z)). T(L(x,y,z) * u,K(u,w)) = u * L(T(x,T(u,w)),y,z). L(x,y * T(z * y,K(y,u)),w) != v5 | L(x,L(T(z,T(y,u)),y,y),w) = v5. K(x,y) * ((x * x) * z) = (x * T(x,y)) * z. (K(x,y) * z) * K(x,z) = (T(x,y) * z) / x. x * ((y * z) / y) != u | x * (z * K(y,z)) = u. K(x,y) * (z * K(x,z)) = (T(x,y) * z) / x. x \ y != K(z,u) * ((z * w) / z) | x * ((T(z,u) * w) / z) = y. x * ((T(x,y) * z) / x) = T(x,y) * ((x * z) / x). T(x,y) * ((x * z) / x) = x * ((T(x,y) * z) / x). x * y != K(z,u) * (T(u,z) \ w) | x \ (T(T(u,z),z) \ w) = y. x \ (T(T(x,y),y) \ z) = T(x,y) \ (T(x,y) \ z). T(x,y) \ (T(x,y) \ z) = x \ (T(T(x,y),y) \ z). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). L(K(x,T(y,z)),u,w) = T(L(K(x,y),u,w),x * z). T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). x / T(T(y,y \ x),z) = T(y,z) \ x. x / T((y \ x) \ x,z) = T(y,z) \ x. x / T(y \ x,z) = T(x / y,z) \ x. x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). (T(x,y) \ z) \ z = T((x \ z) \ z,y). T((x \ y) \ y,z) = (T(x,z) \ y) \ y. x * y != z / T(u \ z,w) | x \ (T(z / u,w) \ z) = y. x \ (T(y / x,z) \ y) = K(z,x \ y). x / (x / T(y,z)) = T(x / (x / y),z). L(x,x \ y,x) \ y = y / T(x,y). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). T((x \ y) \ y,x \ z) = (((x \ z) \ z) \ y) \ y. L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. x / (x / (y \ z)) = T(x / (x / (z / y)),y). T(x / (x / (y / z)),z) = x / (x / (z \ y)). x / (x / T(y,z)) = T(y * K(y \ x,y),z). T(x * K(x \ y,x),z) = y / (y / T(x,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)). K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). T(1 / x,y) = T(1 / x,T(y,x)). T(1 / x,T(y,x)) = T(1 / x,y). ((x \ ((1 / x) \ y)) / y) * K(a(x,x,x \ (x \ y)),z) = T((x \ ((1 / x) \ y)) / y,T(z,y)). T(x,y) * T(1 / y,x) = ((y * y) \ x) * y. x * T(y,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). K(x,y) * (R(y,z,u) * x) = R(y,z,u) * T(x,y). K(x,K(y,z)) * (K(y,u) * x) = K(y,u) * T(x,K(y,z)). T(x,y) / (y \ 1) = x / (y \ K(y,x)). (T(x,y) / (y \ 1)) \ x = y \ K(y,x). (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). x \ y != K(z \ u,z) * ((z \ u) \ w) | x * ((u / z) \ w) = y. T(x,x \ y) * ((y / x) \ z) = x * ((x \ y) \ z). x * y != K(z \ u,z) * ((z \ u) \ w) | x \ ((u / z) \ w) = y. x \ ((y / x) \ z) = T(x,x \ y) \ ((x \ y) \ z). T(x,x \ y) \ ((x \ y) \ z) = x \ ((y / x) \ z). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). K(T(x,y),T(y,x) / x) * (((T(y,x) / x) \ y) \ z) = (y / (T(y,x) / x)) \ z. x != K(y,1 / y) * z | z * K(y,1 / y) = x. (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. x * y != z * K(u,y) | z / T(y,u) = x. (x \ y) / T(y,x \ 1) = y \ (x \ y). x * K(y,z) != u * z | u * T(z,y) = x. (x \ (y \ x)) * T(x,y \ 1) = y \ x. (x \ (L(x,y,z) \ x)) * x = (L(x,y,z) \ x) * K(x,x \ 1). (L(x,y,z) \ x) * K(x,x \ 1) = (x \ (L(x,y,z) \ x)) * x. T(x,x \ (y \ x)) = T(x,y \ 1). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). ((x \ y) \ z) / T(z,y \ x) = z \ ((x \ y) \ z). T(x * y,(x * y) \ y) = T(x * y,x \ 1). T(x,x \ y) = T(x,(x / y) \ 1). T(x,(x / y) \ 1) = T(x,x \ y). T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). K(T(x,y \ 1),z) = T(K(x,z),y \ x). T(K(x,y),z \ x) = K(T(x,z \ 1),y). (x / y) \ T(x,x \ y) = x * (y / x). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. T(x,y * (((((z \ (u \ z)) \ 1) \ 1) * T(z,u \ 1)) \ w)) = T(x,y * ((u \ z) \ w)). T(K(x,y),z \ x) != u | K(x,T(y,z \ 1)) = u. (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). ((x * (y \ x)) / x) * y = (y \ x) * (x / T(y \ x,x)). (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. T(x,y) * (x \ z) = T(T(x,y),y) * (T(x,y) \ z). T(T(x,y),y) * (T(x,y) \ z) = T(x,y) * (x \ z). K(x,1 / ((y * (1 / z)) / y)) = K(x,z * K(1 / z,y)). x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). x * y != K(z,u) * x | K(z,T(u,x)) = y. K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,(y * z) \ z) = K(x,z \ (y \ z)). K(x,T((y / z) \ 1,y)) = K(x,y \ z). x \ y != K(z,(u * w) \ w) | x * K(z,w \ (u \ w)) = y. x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. K(x,y) * (y * z) != u | (y * z) * K(x,T(y,z)) = u. ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. x \ y != K(z,z \ u) * ((z \ u) * w) | x * ((u / z) * w) = y. x * ((y / x) * z) = T(x,x \ y) * ((x \ y) * z). T(x,x \ y) * ((x \ y) * z) = x * ((y / x) * z). T((x / y) * z,K(y,y \ x)) = ((y \ x) * z) * K(y,y \ x). T(x,y) \ z != x \ u | K(x,y) * u = z. K(x,y) * (((y * x) / y) * z) = x * z. (x \ 1) * L(K(x,x \ 1) * y,z,u) = x \ L((x \ 1) * (x * y),z,u). L(x,y \ z,T(y,z)) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). K(T((1 / x) * y,x),x) != z | K(T((x \ 1) * y,x),x) = z. K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x,T(y,z)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(x,K(y,z)) * y = y * T(x,T(y,z)). T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. x != T(y,T(z,u)) | y * T(K(y,z),u) = x. x * T(K(x,y),z) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = x * T(K(x,y),z). T(T(x,T(y,z)),K(T(y,z),u)) = T(x,T(T(y,u),z)). T(x,T(y,z)) != T(u,K(y,z)) | T(x,y) = u. K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). T(T(x,K(y,z)),y) != u | K(x,y) * T(x,K(y,z)) = u. K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). T(x * K(y,z),y) = T(K(y,z) * x,T(y,z)). T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). T(x \ 1,x \ y) = T(x \ 1,y / x). T(x \ 1,y / x) = T(x \ 1,x \ y). x != y * T(z,T(y,u)) | T(z * y,K(y,u)) = x. T(x * y,K(y,z)) = T(x,K(y,z)) * y. T(x * T(K(x,y),z),K(z,y)) = T(x,y). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). T(T(x,y),K(y,z)) != u | u = x * T(K(x,y),z). T(T(x,y),K(y,z)) != u | x * T(K(x,y),z) = u. T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w / L(x,z,u))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). T(T(x,y) * K(z,y),K(y,u)) != w | T(x * K(z,y),T(y,u)) = w. x * y != K(x,z) * (u * x) | T(K(x,z) * u,x) = y. T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). x * y != K(z \ u,z) * z | x \ (u / (u / z)) = y. (x \ y) \ (y / (y / x)) = (y / x) \ x. x \ (y / (y / (y / x))) = (y / (y / x)) \ (y / x). (x / (x / y)) \ (x / y) = y \ (x / (x / (x / y))). (x \ 1) \ ((x \ 1) \ 1) = (1 / x) \ x. (K(x,y) * z) * K(x,z) = (x * (K(x,y) * z)) / x. (x * (K(x,y) * z)) / x = (K(x,y) * z) * K(x,z). K(x \ 1,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). K(R(x * K(y,z),u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). (x * (y / (y / (x \ z)))) / x = y / (y / (z / x)). T(x * K(x \ y,x),y) = y / (T(y,x) / x). K(x * y,K(y,z)) = K(z,K(y,x)). K(x,y) * K(x * y,K(y,z)) = K(x,T(y,z)). K(x,y) * ((1 / y) * x) = ((y * y) \ x) * y. ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). x / T(y * x,y \ 1) = (y * x) \ x. K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. (x \ 1) / (x \ L(x,y,z)) = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). (x / (y * x)) \ T(x,T(y,x)) = x * y. (x / (y * x)) \ T(x,y) = x * y. T(x,x \ y) / y = x / ((x \ y) * x). T(x,y) / (x * y) = x / (y * x). R(1 / x,x,y) \ T(y,x) = y * x. (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). x != y / (z * y) | R(1 / z,z,y) = x. R(1 / x,x,y) = T(y,x) / (y * x). T(x,y) / (x * y) = R(1 / y,y,x). R(1 / x,x,T(y,x)) = R(1 / x,x,y). T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). T(x * K(x \ y,x),z) != u | (y * K(x,z)) / (y / x) = u. (x * K(y,x)) / (x / y) = x / (T(x,y) / y). T(x * K(x \ y,x),y) != z | L(x,x \ y,x) = z. L(x,x \ y,x) = y / (T(y,x) / x). T(x * K(x \ (x \ y),x),x \ y) = (x \ y) / ((((x \ y) \ y) \ y) / x). x != R(1 / y,y,y \ z) | (y \ z) / z = x. (x \ y) / y = R(1 / x,x,y / x). R(1 / x,x,y / x) = (x \ y) / y. (x / y) / (y * (x / y)) = (y \ x) / x. ((x \ y) / y) * (x * (y / x)) = y / x. K(x,x \ y) = K(x,(x \ 1) * y). K(x,(x \ 1) * y) = K(x,x \ y). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z). K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). K(x,(x \ 1) * y) * y = x * (y / x). K(x,(1 / x) * y) * y = x * (y / x). K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). ((x * y) / x) / (y / x) = y / (T(y,x) / x). ((x * (x \ y)) / x) / ((x \ y) / x) = (x \ y) / ((((x \ y) \ y) \ y) / x). (x \ y) / ((((x \ y) \ y) \ y) / x) = ((x * (x \ y)) / x) / ((x \ y) / x). T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x,(y / z) \ 1) != u | K(x,z / y) = u. K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. K(x,(y * (z / u)) \ y) != w | K(x,u / z) = w. (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. x \ T(K(x,y) * z,x) != u | K(x,y) * (x \ T(z,x)) = u. K((x / y) \ 1,z) != u | K(y / x,z) = u. R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. L(x,T(y,z),T(z,y)) = L(x,y,z). (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). L(x,y \ z,T(y,z / y)) = L(x,z / y,y). L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). K(x,T((y \ z) \ z,u)) != w | K(x,T(T(y,u),z)) = w. T(K(x,T(y,z)),u) != w | K(x,T(T(y,u),z)) = w. T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. R(K(x \ (y / z),y / z),y / z,z) != u | ((x * T(x \ (y / z),y / z)) * z) / y = u. ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). x * y != y \ R(y,z,u) | R(1 / y,z,u) = x. R(1 / x,y,x) = K(x,y) / T(x,x * y). K(x,y) / T(x,x * y) = R(1 / x,y,x). x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. T(T(K(x,y),z),u) != w | K(x,T(T(y,u),z)) = w. (1 / T(x,y)) \ z = K(x,y) * ((1 / x) \ z). K(x,y) * ((1 / x) \ z) = (1 / T(x,y)) \ z. x != K(y,z) * ((y * y) * u) | (y * T(y,z)) * u = x. (x * T(x,y)) * z = T(x,y) * ((1 / x) \ z). T(x,y) * ((1 / x) \ z) = (x * T(x,y)) * z. T(x \ 1,y) * (x \ z) = ((x \ 1) * T(x \ 1,y)) * z. ((x \ 1) * T(x \ 1,y)) * z = T(x \ 1,y) * (x \ z). K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,(T(y,z) * u) \ y) = w. K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). K(x,y \ z) = K(x,(T(z,u) \ y) \ K(u,z)). K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). K(x,T(y,z)) * u = K(z,K(y,x)) * (K(x,y) * u). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. x != (y \ 1) * L(y,z,u) | y * L(1 / y,z,u) = x. x * L(1 / x,y,z) = T(x,x \ 1) \ L(x,y,z). T(x,x \ 1) \ L(x,y,z) = x * L(1 / x,y,z). K(x,y / z) * K(z \ y,u) = K(z \ y,u) * K(x,y / z). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). x != y \ (z * K(u,T(y,z))) | 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. x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). R(K(x,y),x,z) != u | K(x,y) = u. ((T(x,y) * z) * u) / ((x * z) * u) != w | K(R(x,z,u),y) = w. R(K(x,y),T(y,z),u) = K(x,y). x * T(x \ 1,y) = ((x \ z) / z) \ T((x \ z) / z,y). ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). K(x * y,K(y,z)) = K(K(z,y),y * x). K(K(x,y),y * z) = K(z * y,K(y,x)). K(x * y,K(x,z)) = K(y * x,K(x,z)). K(x * y,K(y,z)) = K(y * x,K(y,z)). x != K(y * z,K(y,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(x * y,K(y,z)). K(x * y,K(y,z)) = K(x,K(y,z)). K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. K(x,K(y,z)) = K(y * z,K(y,x)). K(x * y,K(x,z)) = K(z,K(x,y)). K(x,K(y,z)) = K(z,K(y,x)). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(K(x,y),z) = K(x,K(y,z)). x != K(y * z,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(x,K(y,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). x != K(y \ z,K(y,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(z,K(y,y \ x)). K(x,K(y,y \ z)) = K(z,K(y,x)). x \ y != K(z,K(u,w)) | x * K(w,K(u,z)) = y. x * K(y,K(z,x)) = T(x,K(z,y)). T(x,K(y,z)) = K(z,K(y,x)) * x. K(x,K(y,z)) * z = T(z,K(y,x)). T(K(x,y),z) = K(y,K(x,z)) \ K(x,y). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. K(x,K(y,z)) \ 1 = K(z,K(x,y)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,K(y,z)) * K(x,y) = T(K(x,y),z). K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. x != K(L(y \ 1,z,u) \ 1,w) | L(K(y,w),z,u) = x. L(K(x,K(y,z)),u,w) = K(K(L(x \ 1,u,w) \ 1,y),z). K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). x != K(R(y \ 1,z,u) \ 1,w) | R(K(y,w),z,u) = x. R(K(x,K(y,z)),u,w) = K(K(R(x \ 1,u,w) \ 1,y),z). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). x \ y != K(K(z,u),w) | x * K(z,K(u,w)) = y. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). T(x,K(y,z)) * K(y,K(z,x)) = x. K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. 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)) != u | K(z,K(y,x)) = u. (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). x != K(y,K(z,u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(x,K(y,y \ z)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). x \ y != K(z,K(u,w)) \ 1 | x * K(w,K(z,u)) = y. K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z)) = K(y,K(y * x,z)). K(x,K(x * y,z)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(y,K(z,u * z)) = x. K(x,K(y,z * y)) = K(y,K(x,z)). x != K(y,K(z,u)) | K(K(y,z),u) = x. K(K(x,y),z) = K(y,K(x,z)). K(x,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(z,K(x,y)). x != K(y,K(z,z \ u)) | K(u,K(z,y)) = x. K(x,K(y,z)) = K(y,K(z,y \ x)). K(x,K(y,x \ z)) = K(z,K(x,y)). x \ y != K(z,K(u,w)) | x * K(u,K(z,w)) = y. 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,K(x,z)) != u | T(x,K(y,z)) = u. K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. K(x,K(y,z)) * (y * u) = T(y,K(x,z)) * u. K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(x,y)). K(x,K(y,z)) = K(K(x,z),y). K(K(x,y),z) = K(x,K(z,y)). K(x,K(y,z)) = K(K(y,z),x). K(K(x,y),z) = K(z,K(x,y)). K(K(x,y),z) != u | K(y,K(z,x)) = u. K(x,K(y,z)) = K(x,K(z,y)). x \ y != K(K(z,u),w) | x * K(u,K(z,w)) = y. K(x,y) * K(y,K(x,z)) = T(K(x,y),z). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). K(L(K(x,y),z,u),w) = K(y,K(L(x \ 1,z,u) \ 1,w)). K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. x * K(K(y,z),x) = T(x,K(y,z)). x != K(y,K(z,u)) | K(z,u) * K(u,T(z,y)) = x. K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). x \ y != K(z,K(u,w)) | x * K(u,K(w,z)) = y. K(x,K(y,z)) * K(x,K(y,z)) = 1. K(x,K(y,z)) = K(x,K(z * y,y)). K(x,K(y * z,z)) = K(x,K(z,y)). K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). K(x,K(y,z)) * K(x,z) = T(K(x,z),y). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). x * K(x,K(y,z)) = T(x,K(z,y)). K(x,K(y,z)) * x = T(x,K(z,y)). T(x,K(y,z)) = K(y,K(x,z)) \ x. K(x,K(y,z)) \ y = T(y,K(x,z)). (x / y) * K(z,K(y,u)) != w | x / T(y,K(z,u)) = w. K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,z)) != u | K(x,K(z,y)) = u. K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. K(x,K(y,z)) \ (x * u) != w | T(x,K(y,z)) * u = w. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). x != K(y,K(z,u)) | K(z,K(y,u)) = x. K(x,K(y,z)) = K(y,K(x,x * z)). K(x,K(y,y * z)) = K(y,K(x,z)). K(x,K(y,z \ y)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). x \ y != K(z,K(u,u \ w)) | x * K(z,K(u,w)) = y. x * K(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = x * K(x,K(y,z)). K(x,K(y,z)) = K(x,K(x * y,z)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(y,z * x)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,x \ y)). K(x,K(y,x \ z)) = K(x,K(z,y)). x * K(y,K(x,x * z)) = T(x,K(y,z * x)). T(x,K(y,x / z)) / z = T(x / z,K(((x / z) \ (1 / z)) \ 1,y)). T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,x / y)) / y. x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) = T(x,K(z,y)). T(x,T(y,z)) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). x * T(K(x,y),z) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = x * T(K(x,y),z). K(x,y) * (z * x) = T(z * T(x,y),K(x,y)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = 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(y,x) = T(z,K(x,y)). T(T(x,K(y,z)),K(y,z)) = x. (K(x,y) * z) / K(x,y) = T(z,K(x,y)). x != T(y * z,K(z,u)) | z * T(y,T(z,u)) = x. x * T(y,T(x,z)) = T(y * x,K(z,x)). T(x * y,K(z,y)) = y * T(x,T(y,z)). x \ y != T(z,K(u,w)) | x * T(z,K(w,u)) = y. K(x,y) * T(z,K(y,x)) = z * K(x,y). K(x,y) * R(T(z,K(y,x)),u,w) = R(z,u,w) * K(x,y). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). T(x,K(y,z)) != u | T(u,K(y,z)) = x. T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(x * K(y,z),K(y,z)) != u | K(y,z) * x = u. T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. T(T(x,K(y,z)),z) = T(x,T(z,y)). T(x,K(y,z)) * z = z * T(x,T(z,y)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). T(x,K(y,z)) != T(u,T(y,z)) | T(u,y) = x. T(x,y) = T(T(x,T(y,z)),K(y,z)). T(T(x,T(y,z)),K(y,z)) = T(x,y). x \ y != T(T(z,K(u,w)),K(u,w)) | x * z = y. T(K(x,y),z) * z = z * K(x,y). K(x,y) * z != u | T(z,K(x,y)) * K(x,y) = u. (x * K(y,z)) / x = T(K(y,z),x). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. x != T(y,K(z,u)) | (1 / K(z,u)) * (y / (K(z,u) \ 1)) = x. (1 / K(x,y)) * (z / (K(x,y) \ 1)) = K(x,K(y,z)) * z. K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). R(x,K(y,z),T(u,K(y,z))) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). T(x,K(y,z)) != u \ x | K(y,K(x,z)) = u. K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). K(x \ y,z) * K(x,K(y,z)) = T(K(x \ y,z),x). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). T(T(x,(y \ z) \ 1),K(u,z \ y)) = T(x,T((y \ z) \ 1,u)). T(T(x,y / z),K(y,y / z)) != u | T(x,z \ y) = u. T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). T(x,y) != T(z,T(y,u)) | T(x,K(y,u)) = z. T(x,T(y,z)) != T(u,y) | T(u,K(y,z)) = x. T(x,K(y,z)) = T(x * K(y,T(x,z)),y). T(x * K(y,T(x,z)),y) = T(x,K(y,z)). K(x,T(y,z)) * z = z * K(x,y). T(T(K(x,y),z),z) = K(x,y). x * y != y * K(z,y \ u) | K(z,u / y) = x. K(x,y / z) = T(K(x,z \ y),z). T(K(x,y \ z),y) = K(x,z / y). x * y != y * K(y \ z,u) | K(z / y,u) = x. K(x / y,z) = T(K(y \ x,z),y). T(K(x \ y,z),x) = K(y / x,z). x * y != y * K(z \ y,u) | K(y / z,u) = x. K(x / y,z) = T(K(y \ x,z),x). T(K(x \ y,z),y) = K(y / x,z). x * y != y * K(z,u \ 1) | K(z,u \ K(u,y)) = x. K(x,y \ K(y,z)) = T(K(x,y \ 1),z). T(K(x,y \ 1),z) = K(x,y \ K(y,z)). x * y != y * K(z,T(u,y)) | K(z,u) = x. K(x,y) = T(K(x,T(y,z)),z). T(K(x,T(y,z)),z) = K(x,y). x * y != y * K(T(z,y),u) | K(z,u) = x. K(x,y) = T(K(T(x,z),y),z). T(K(T(x,y),z),y) = K(x,z). K(x \ y,z) * y = y * K(y / x,z). T(K(x,y),z) * (z / y) = (z / y) * K(x,y). K(x,T(T(y,z),z)) = K(x,y). K(x,y / z) = T(K(x,z \ y),y). T(K(x,y \ z),z) = K(x,z / y). K(1 / x,y) = T(K(1 / T(x,z),y),z). T(K(1 / T(x,y),z),y) = K(1 / x,z). K(x,1 / y) = T(K(x,1 / T(y,z)),z). T(K(x,1 / T(y,z)),z) = K(x,1 / y). x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). K(x,y / z) = K(x,T((y \ z) \ 1,y)). K(x,T((y \ z) \ 1,y)) = K(x,y / z). K(x \ y,T(z,y)) = K(y / x,z). 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). (x * K(y,z)) / x = K(y,T(z,x)). K(x,L(y,z,u)) = K(x,T(L(T(y,w),z,u),w)). K(x,T(L(T(y,z),u,w),z)) = K(x,L(y,u,w)). T(x,y) != K(z,T(T(u,y),w)) | K(z,T(u,w)) = x. K(x,T(y,z)) = K(x,T(T(T(y,u),z),u)). K(x,T(T(T(y,z),u),z)) = K(x,T(y,u)). K(x,y) != T(z,u) | K(x,T(y,u)) = z. T(x,y) != K(z,u) | K(z,T(u,y)) = x. x * K(y,z) != u * x | K(y,T(z,x)) = u. x * R(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). 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(T(x,y),z \ y) = K(x,y / z). x != K(y,z) | K((u / (y * u)) \ 1,z) = x. K((x / (y * x)) \ 1,z) = T(K(T(y,u),z),u). T(K(T(x,y),z),y) = K((u / (x * u)) \ 1,z). T(K(x,L(y,z,u)),w) != v5 | K(x,L(T(y,w),z,u)) = v5. K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(x \ y,T(z,x)) = K(y / x,z). K(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). K(R(x,y,z),T(u,w)) != v5 | K(R(T(x,w),y,z),u) = v5. K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). K(L(x,y,x),T(z,u)) != w | K(x,T(z,u * x)) = w. K(x,T(T(y,z),z * x)) = K(L(x,u,x),y). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). K(x,T(y \ z,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,y * K(z,y)). K(x,y * K(z,y)) = K(x,T(y,z)). K((x * y) / x,z) != u | K(y,T(z,x)) = u. x \ y != K(z,u) | x * K(T(z,w),T(u,w)) = y. x * K(T(x,y),T(z,y)) = T(x,z). K(T(x * K(y,z),x),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). x * K(T(x,y),T(z,y)) != u | T(x,z) = u. L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). R(x,T(y,z),K(y,u)) = x. K(x,T(y,z)) * (z * K(y,x)) = z. K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). R(x,T(y,z),T(K(y,u),w)) = x. x \ y != T(K(z,u),w) | x * ((w * K(z,u)) / w) = y. x * ((x * K(y,z)) / x) = K(y,z) * x. T(x,T(y,z)) * (x \ z) = z * K(x,y). x * y != y * K(z,u \ 1) | K(z,y / (y * u)) = x. K(x,y / (y * z)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z / (z * y)). x * y != y * K(z,(y \ u) \ 1) | K(z,(u / y) \ 1) = x. K(x,(y / z) \ 1) = K(x,T((z \ y) \ 1,z)). K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). x \ y != K(z,T(u,w)) * w | x * (w * K(z,u)) = y. x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). K(x,y \ z) * y = y * K(x,z / y). ((x \ 1) * K(y,z)) * x = (K(y,T(z,x \ 1)) * x) * (1 / x). (K(x,T(y,z \ 1)) * z) * (1 / z) = ((z \ 1) * K(x,y)) * z. (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). K(x \ y,z \ y) = K(y / x,y / z). K(x / y,x / z) = K(y \ x,z \ x). K(x \ y,z) \ (y * K(y / x,z)) != u | y = u. T(K(x,y),z * x) != u | K(x,T(y,z)) = u. K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,T(((y \ 1) * z) \ u,y * ((y \ 1) \ u))) = K(x,(y * ((y \ 1) \ u)) / (y * z)). T(K(x,T(y,z)),z) != u | u = K(x,y). T(K(x,T(y,z)),z) != u | K(x,y) = u. L(K(x,T(y,z)),u,w) = (z * L(K(x,y),u,w)) / z. (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). L(K(x,T(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). K((x \ y) \ 1,T(z,y)) = K(x / y,z). K(a(x,y,z),T(u,x * (y * z))) = K(((x * y) * z) / (x * (y * z)),u). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). K(x,T(T(y,z),z)) != u | K(x,y) = u. K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,y / z) != u | T(K(x,z \ y),z) = u. T(x,T(T(y,z),z)) = T(x,y). 1 / T(x,y) = T(T(x,y) \ 1,x). T(T(x,y) \ 1,x) = 1 / T(x,y). x \ y != T(z,T(T(u,w),w)) | x * T(z,u) = y. K(x,y) * T(x,z) = T(T(x,y),T(z,y)). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). K(x,T(y,z)) * (z * x) = z * T(x,y). T(x / T(y,z),y) = T(y,T(z,x)) \ x. K(x,(y * z) / y) != u | ((y * ((x * z) / x)) / y) / ((y * z) / y) = u. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). K(x,(y * z) / y) != u | K(x,T(z,y)) = u. (x * K(y,x)) * K(x,T(z,y)) != u | T(x * K(y,x),z) = u. K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. x \ y != T(T(z,u) \ 1,z) | x * (1 / T(z,u)) = y. x * (1 / T(x,y)) = (T(x,y) \ 1) * x. (T(x,y) \ 1) * x = x * (1 / T(x,y)). T(x,(y * z) / y) != u | T(x,y / (y / z)) = u. T(x,y / (y / z)) = T(x,T(z,y)). T(x,T(y * z,y * y) / (1 / y)) = T(x,T(z * (y * y),1 / y)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). T(x,y * K(z,y)) != u | T(x,(y \ 1) \ K(z,y)) = u. T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). R(T(x,T(y,z)),y,K(z,y)) = ((z * y) / z) \ (x * (y * K(z,y))). ((x * y) / x) \ (z * (y * K(x,y))) = R(T(z,T(y,x)),y,K(x,y)). T(x,y / z) = T(x,T(z \ y,y)). T(x,T(y \ z,z)) = T(x,z / y). K(K(x,y),z) != u | K(x,K(z,y)) = u. K(K(x,y),z) != u | K(z,K(x,y)) = u. K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y,y * z)) != u | K(x,K(z,y)) = u. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,K(y * z,z)) != u | K(x,K(y,z)) = u. (K(x,y) * z) * K(y,x) != u | T(z,K(x,y)) = u. T(K(x,y \ z),y) != u | K(x,z / y) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x \ y,T(z,y)) != u | K(y / x,z) = u. T(K(x \ y,z),x) != u | K(y / x,z) = u. K(x,T(T(T(y,z),u),z)) != w | K(x,T(y,u)) = w. K(x,T(L(T(y,z),u,w),z)) != v5 | K(x,L(y,u,w)) = v5. K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(T(x,y),y \ z) != u | K(x,z / y) = u. K(T(x,y),z \ y) != u | K(x,y / z) = u. K(x,y) * z != K(x,T(y,R(T(x,u),w,v5))) | 1 = z. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,y) * z != K(x,u) | K(x,u) * K(y,x) = z. K(x,T(y,z)) * K(y,x) = K(x,K(y,z)). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,T(y,z)) * K(y,x) != u | u = K(x,K(y,z)). K(x,T(y,z)) * K(y,x) != u | K(x,K(y,z)) = u. K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). x != T(K(y,z),z * u) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,y) * K(y,K(x,y * z)). K(x,y) * K(y,K(x,y * z)) = K(x,T(y,z)). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x,K(y,z)) * K(x,y \ z) = T(K(x,y \ z),y). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). (x * y) * K(z,T(u,y)) = (x * T(y,K(z,u))) * K(z,u). (x * T(y,K(z,u))) * K(z,u) = (x * y) * K(z,T(u,y)). T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). x != T(y,K(z,u)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(z,z * y)). T(x,K(y,y * z)) = T(x,K(z,y)). x != T(y,K(z,T(y,u))) | y = x. x = T(x,K(y,y * T(x,z))). T(x,K(y,y * T(x,z))) = x. T(x,T(y * z,y)) = T(T(x,y * z),K(y,z)). T(T(x,y * z),K(y,z)) = T(x,T(y * z,y)). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). T(x,K(y,z * y)) = T(x,K(z,y)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). T(T(x,1 / (y / z)),K(u,z / y)) = x * T(K(x,1 / (y / z)),u). T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). T(K(x,y) \ z,K(x,y)) = z * K(y,x). T(T(x,y) * z,K(y,x)) = (x * z) * K(x,y). T(T(x,y) \ z,K(x,y)) = (x \ z) * K(y,x). K(x,y) * (z / K(x,y)) = T(z,K(x,y)). K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). x * y != T(z,K(u,w * u)) | x \ T(z,K(w,u)) = y. (x * y) \ T(z * (x * y),K(x,y)) = T(z,T(x * y,y)). ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. x != y * T(z,T(y,u)) | T(z * y,K(u,y)) = x. T(x * y,K(z,y)) = T(x,K(z,y)) * y. T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). T(x * K(y,T(x,z)),y) = T(x,K(y,x * z)). T(K(x,y \ 1),z) != u | K(x,T(y,z) \ 1) = u. K(x,T(y,z) \ 1) = K(x,y \ K(y,z)). x \ T(x * K(x / y,z),x) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). K(1 / x,y) = K(1 / T(T(x,z),z),y). K(1 / T(T(x,y),y),z) = K(1 / x,z). K(x,1 / y) = K(x,1 / T(T(y,z),z)). K(x,1 / T(T(y,z),z)) = K(x,1 / y). K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). K(x,T(T(y,K(z,u)),T(z,u))) = K(x,T(y,z)). x * y != K(z,u) * T(z,w) | x \ T(T(z,w),T(u,w)) = y. T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). (x * K(y,z)) / (y \ x) != u | u = T(y,T(z,x)). (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. K(x,(y * z) \ z) = K(x,z / (z * y)). K(x,y / (y * z)) = K(x,(z * y) \ y). T(x,y) = T(x,T(y,K(z,x))). T(x,T(y,K(z,x))) = T(x,y). T(x,T(y,T(z,x))) = T(x,T(y,z)). T(x,T(y,x \ z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,x \ z)). (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). R(x,y \ z,K(y / z,u)) = x. x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). (x * T(y,z)) / (x * y) = K(y,T(z,x)). x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). (x * T(y,z)) / (x * y) != u | u = K(y,T(z,x)). (x * T(y,z)) / (x * y) != u | K(y,T(z,x)) = u. K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). ((x \ y) \ 1) * (y / x) = (y / x) * (1 / T(y / x,x)). (x / y) * (1 / T(x / y,y)) = ((y \ x) \ 1) * (x / y). K(x,K(y,x \ z)) != u | K(x,K(z,y)) = u. K(x,K(y,T(z,u))) = K(z,K(x \ y,T(x,u))). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). K(x,T(y,z)) * K(x,K(y,z)) = K(x,y). K(x,K(y,z)) * K(y,x) != u | u = K(y,T(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. x \ T(y,K(z,x)) = T(x \ y,K(z,x)). T(x \ y,K(z,x)) = x \ T(y,K(z,x)). x \ y != K(z,u \ K(u,w)) | x * K(z,T(u,w) \ 1) = y. x * K(x,T(y,z) \ 1) = T(x,y \ K(y,z)). T(x,y \ K(y,z)) = x * K(x,T(y,z) \ 1). T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). K(x,1 / T(y,z)) = K(x,1 / ((z * y) / z)). K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). x != T(y,T(z,y \ u)) | T(y,T(z,u)) = x. T(x,T(y,z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,z)). T(x \ y,T(z,x)) = T(x \ y,T(z,y)). T(x \ y,T(z,y)) = T(x \ y,T(z,x)). (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. T(x,T(T(y,z),z)) != u | T(x,y) = u. T(x,T(y \ z,y)) != u | T(x,z / y) = u. T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. K(x,T(x,y) \ z) != u | K(x,z / T(x,y)) = u. K(x \ y,L(T(z,y),u,w)) != v5 | K(y / x,L(z,u,w)) = v5. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. K(x,L(T(y \ z,u * y),y,u)) != w | K(x,(u * z) / (u * y)) = w. K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. K(x,K(y \ x,y) * z) != u | K(x,z * K(y \ x,y)) = u. K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. K(x,T(y \ z,z)) != u | K(x,z / y) = u. T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. T(1 / x,x \ y) != z | T(1 / x,y / x) = z. T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. L((K(x,K(y,z)) \ u) \ (y * w),K(x,K(y,z)) \ u,K(x,K(y,z))) = u \ (T(y,K(x,z)) * w). K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. T(x,K(y,x * z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,x * z)). T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). 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) * (K(z,y) / y) = K(z,y) / T(y,x). (x / T(y,z)) / (x / y) = K(z,T(y,x)). K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). K(x,T((y / z) \ 1,y)) != u | K(x,y \ z) = u. K(K(x,y) * z,z \ u) = K(z * K(x,y),(z / u) \ 1). K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. K(x \ y,T(z,x)) = K(y / x,T(z,y \ x)). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). x * K((y \ 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,y) / x,z) = K(y,T(T(z,x),x * y)). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). K(x,y) * z != K(x,T(y,K(x,u))) | 1 = z. 1 = K(x,K(y,x * K(y,z))). K(x,K(y,x * K(y,z))) = 1. K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). x != (y * z) * K(y,u) | y * (z * K(y,u)) = x. x * (y * K(x,z)) = T(T(x,z) * y,K(z,x)). T(T(x,y) * z,K(y,x)) = x * (z * K(x,y)). T(T(x,y) \ z,K(x,y)) != u | T(z / T(x,y),x) = u. T(x / T(y,z),y) = (y \ x) * K(z,y). T(x / T(y,z),y) != u | y \ (x * K(z,y)) = u. x \ (y * K(z,x)) = (x \ y) * K(z,x). T(x / T(y,y \ 1),y) = (y \ x) * K(y,y \ 1). (x \ y) * K(z,x) != u | T(y / T(x,z),x) = u. T(x * K(y,x),K(z,y)) = x * K(y,T(x,z)). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,x * y)). T(x,K(y,x * z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). x * K(K(x * y,z),x) = T(x,K(y,z)). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). K(x,T(T(y,z),u)) = K(x,T((z * y) / z,u)). K(x,T((y * z) / y,u)) = K(x,T(T(z,y),u)). K(x,T(T(y,K(z,u \ 1)),T((u \ z) * u,u \ 1))) = K(x,T(y,(u \ z) * u)). T(x,T(y,z) \ 1) = T(x,y \ K(y,z)). T(x,T(y,z) \ 1) != u | T(x,z \ (y \ z)) = u. T(x,y \ (z \ y)) = T(x,z \ K(z,y)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). T(x,1 / y) = T(x,1 / T(T(y,z),z)). T(x,1 / T(T(y,z),z)) = T(x,1 / y). T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). 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),u,w)) = K(x,L(y * K(z,y),u,w)). K(x,L(y * K(z,y),u,w)) = K(x,L(T(y,z),u,w)). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). x != K(y \ z,T(u,y)) | K(z / y,u) = x. K(x / y,z) = K(x / y,T(z,x \ y)). K(x / y,T(z,x \ y)) = K(x / y,z). T(x * (y * K(x,z)),K(x,z)) = T(x,z) * y. T(x * K(y,x),K(z,y)) != x * u | K(y,T(x,z)) = u. T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). K(x,T(T(y,z) * K(u,T(y,z)),w)) = K(x,T(T(T(y,u),z),w)). K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. T(x,T(y * z,y)) != u | T(T(x,K(z,y)),y * z) = u. T(x / T(y,z),K(z,y)) != u | K(z,y) * (x / y) = u. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x,T(T(y \ z,y),u)) != w | K(x,T(z / y,u)) = w. K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. T(x * K(y,x),T(z,T(x,u))) != w | T(x * K(y,x),z) = w. x * (y \ R(y,x,y)) = T(y * x,y) / y. R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). K((1 / (1 / x)) * (x \ y),z) != u | K(y,z) = u. K(x,1 / y) = K((y \ x) * y,1 / y). K((x \ y) * x,1 / x) = K(y,1 / x). L(x,L(y,T(z,y),T(z,y)),u) = L(x,z * (z * ((T(z,y) * y) / z)),u). (1 / x) \ (T(x \ 1,x) \ y) = (x \ 1) \ (T(T(x \ 1,x),x) \ y). (x \ 1) \ (T(T(x \ 1,x),x) \ y) = (1 / x) \ (T(x \ 1,x) \ y). K(x * y,z) * ((z * x) * y) = R(z,x,y) * T(x * y,z). K(x,y) * ((1 / x) * (x * z)) = (x \ K(x,y)) * (T(x,x \ 1) * z). (x \ K(x,y)) * (T(x,x \ 1) * z) = K(x,y) * ((1 / x) * (x * z)). (x \ ((1 / x) \ y)) * T(x,x \ 1) = ((1 / x) \ (x \ y)) * x. T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). T(T(x,y) * z,x) = T(x,y) * (x \ T(x * z,x)). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). ((x \ y) \ y) * ((x \ y) * z) = x * ((y / x) * z). K(x,K(x,y) * z) = K(x,z). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,K(y,x) \ z) = K(x,z). K(x,x \ y) = K(x,T(x,z) \ y). K(x,T(x,y) \ z) = K(x,x \ z). K(x,T(x,y) * z) = K(x,x * z). K(x,y) = K(x,z \ T(z * y,x)). K(x,y \ T(y * z,x)) = K(x,z). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,K(y,z)) = K(y,K(x,K(y,u) * z)). K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). K(x,y * K(x,z)) = K(x,y). K(x,y) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). x \ y != K(z,K(u,z) * w) | x * K(z,w) = y. x * K(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = x * K(x,z). K(x,R(K(y,x),z,u) * w) = K(x,w). K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,y) \ 1 = K(y,x * K(y,z)). K(x,y * K(x,z)) = K(y,x) \ 1. K(x,y / K(z,x)) = K(x,y). K(x,y / (x \ z)) = K(x,y / (z / x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,y \ 1) = K(x,y \ K(z,x)). K(x,y \ K(z,x)) = K(x,y \ 1). K(x,y / T(x,z)) = K(x,x \ y). 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,T(x * K(y,z),y)) = K(x,x * K(y,z)). T(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = T(x,z). T(x,y) = T(x,K(x,z) * y). T(x,K(x,y) * z) = T(x,z). T(x,y \ z) = T(x,T(y,x) \ z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,T(x,y) \ z) = T(x,x \ z). T(x,x * y) = T(x,T(x,z) * y). T(x,T(x,y) * z) = T(x,x * z). T(x,y * K(z,x)) = T(x,y). T(x,(y / x) \ z) = T(x,(x \ y) \ z). T(x \ y,(x \ y) \ z) = T(x \ y,(y / x) \ z). T(x \ y,(y / x) \ z) = T(x \ y,(x \ y) \ z). x != T(y,L(K(z,y),u,w)) | y = x. x = T(x,K(x,y) * L(K(z,x),u,w)). T(x,K(x,y) * L(K(z,x),u,w)) = x. T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). T(x,y * K(x,z)) = T(x,y). K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. T(x,y / T(z,x)) = T(x,y / z). T(x,y / (z / x)) = T(x,y / (x \ z)). T(x,y * (z * x)) = T(x,y * (x * z)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). K(x * K(y,z),y) = K(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. K(x * y,z) = K(x * T(y,z),z). K(x * T(y,z),z) = K(x * y,z). K(x * y,z) = K(T(x,z) * y,z). K(T(x,y) * z,y) = K(x * z,y). K(x,y) = K(x * K(z,y),y). K(x * K(y,z),z) = K(x,z). K(x * T(y,z),y) = K(x * y,y). K(x * (y \ z),y \ z) = K(x * (z / y),y \ z). K(x * (y / z),z \ y) = K(x * (z \ y),z \ y). K(x \ y,z) = K(x \ T(y,z),z). K(x \ T(y,z),z) = K(x \ y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(K(x,y) * z,x) = K(z,x). K(x,y) = K(K(z,y) * x,y). K(K(x,y) * z,y) = K(z,y). K(x * L(K(y,z),u,w),z) = K(x,z). K(x * K(y,z \ u),u / z) = K(x,u / z). R(K(x,y),x * K(z,y),u) != w | K(x * K(z,y),y) = w. K(x,y) = K(K(y,z) \ x,y). K(K(x,y) \ z,x) = K(z,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(T(x,y) * z,x) = K(x * z,x). K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(K(x,y) * z,x) != u | K(z,x) = u. K(T(x,T(y,z)) * u,y) = K(x * u,y). K(x * K(y,z),z) != u | K(x,z) = u. T(x,y \ x) / T(y,x) = (x * (T(x,y) / y)) / x. (x * (T(x,y) / y)) / x = T(x,y \ x) / T(y,x). K(x * (1 / ((y * z) \ y)),z) = K((1 / ((y * z) \ y)) * x,z). K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). x != K(y * z,z) | K(z * y,z) = x. K(x * y,x) = K(y * T(x,z),x). K(x * T(y,z),y) = K(y * x,y). K(x \ (y \ z),y) = K(x \ (z / y),y). K(x \ (y / z),z) = K(x \ (z \ y),z). x != K(y * z,y) | K(T(y,u) * z,y) = x. K(T(x,y) * z,x) = K(z * T(x,u),x). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). K(x \ T(y,z),z) != u | K(x \ y,z) = u. K((x \ 1) \ y,y) != z | K(x * y,y) = z. K(x,K(y,z)) = K(x,K(y,K(x,u) * z)). K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). K(x,K(y,z)) = K(y,K(z,K(y,u) * x)). K(x,K(y,K(x,z) * u)) = K(u,K(x,y)). x != K(T(y,z),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,K(x,u) * z)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). x != K(K(y,z),u) | K(z,K(u,y)) = x. K(x,K(y,z)) = K(K(x,u) * z,K(x,y)). K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). x != K(K(y,z),u) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). K(x * 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)). T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). K(x,T(y,z)) = K(x,T(y,K(u,x) * z)). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). R(x,K(y,z) * u,K(u,K(y,w))) = x. R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). T(K(x,y),z) = K(x,T(y,K(u,x) * z)). K(x,T(y,K(z,x) * u)) = T(K(x,y),u). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). K(x,T(y,z * (x * u))) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). K(x,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). T(K(x,y),K(z,x) * u) = T(K(x,y),u). T(K(x,y),z * K(u,x)) = T(K(x,y),z). T(K(x,y),z * x) = T(K(x,y),z * T(x,u)). T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K(x * T(y,z \ u),u / z) = K(x * y,u / z). T(T(x,y),z) \ T(T(x,y) * K(x * u,T(x,y)),z) = K(T(x,w) * u,T(T(x,y),z)). K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). x != T(K(y,z),(y \ u) * y) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),(x \ z) * T(x,u)). T(K(x,y),(x \ z) * T(x,u)) = T(K(x,y),z). ((x \ y) * T(x,z)) * T(K(x,u),y) != w | K(x,u) * ((x \ y) * T(x,z)) = w. K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). x != K(K(y,z) * u,y) | K(u,y) = x. K(x,y) = K(L(x,K(y,z),u),y). K(L(x,K(y,z),u),y) = K(x,y). K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). (x * (y / (y / z))) / x = y / (y / ((x * z) / x)). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,K(y,z)) * (x \ R(x,y,x)) = T(K(x,y),z) * K(x * y,x). K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. x * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != R(y,K(z,u),T(w,K(z,v5))) | R(y,K(z,u),w) = x. R(x,K(y,z),u) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). x != T(K(y \ z,u),y) | K(z / y,u) = x. K(x / y,z) = K(y \ x,z) * K(y,K(x,z)). K(x \ y,z) * K(x,K(y,z)) = K(y / x,z). K(x \ y,z) * K(y,K(x,z)) = K(y / x,z). x != K(y / z,u) | K(z \ y,T(u,y)) = x. K(x \ y,T(z,y)) = K(x \ y,z) * K(y,K(x,z)). K(x \ y,z) * K(y,K(x,z)) = K(x \ y,T(z,y)). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) != v5 | z = v5. ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). x \ y != K(z,R((u * w) / u,v5,v6)) | x * K(T(z,u),R(w,v5,v6)) = y. x * K(T(x,y),R(z,u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). x != K(y,K(z,u)) * K(y,z) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). x != T(K(y,z \ u),z) | K(y,u / z) = x. K(x,y / z) = K(x,K(z,y)) * K(x,z \ y). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,K(y,z)) * K(x,y \ z) != u | K(x,z / y) = u. K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). K(x,y / z) != K(x,K(z,y)) * u | K(x,z \ y) = u. K(x,K(y,z)) * u != K(x,z / y) | K(x,y \ z) = u. K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y * z,(y * u) * z)) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). K(x,K(y,z * (u * (z \ x)))) * K(y,L(T(u,z \ x),z \ x,z)) = K(y,(z * (u * (z \ x))) / x). K(x,K(y,z)) * K(y,z / x) != u | u = K(y,x \ z). K(x,K(y,z)) * K(y,z / x) != u | K(y,x \ z) = u. K(x,K(y,z * x)) * K(y,(z * x) \ x) = K(y,((z * x) \ x) * K(z * x,1 / z)). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). K(x,K(y,T(z,u))) * K(x,((y \ u) \ u) / z) = K(x,z \ ((y \ u) \ u)). K(x,(y * (z * u)) / (y * z)) * K(x,K(y * (z * u),y * z)) = K(x,L(u,z,y)). 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 != (K(y * T(z,y),u) * y) * T(z,y) | (z * y) * R(K(z * y,u),y,T(z,y)) = x. (x * y) * R(K(x * y,z),y,T(x,y)) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). K(x,1 / T(1 / y,z)) != u | T(K(x,y),z) = u. T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). x != K(y,T(T(z,u),u * y)) | K(L(y,w,y),z) = x. K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). (x \ y) * K(x,x \ 1) != z | T(x,x \ 1) \ y = z. x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). T(x,y) * L(x \ T(z,x),u,w) = T(T(x,y) * L(x \ z,u,w),x). T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). x != K(y,z) * K(y,K(z,u)) | T(K(y,z),u) = x. T(K(x,y),z) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). x \ y != K(z / u,(z / u) \ w) | x * K(z / u,(u \ z) \ w) = y. x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). x != T(y,y \ 1) | L(y,y,y) = x. L(x \ y,x \ y,x \ y) = T(x \ y,(y / x) \ 1). T(x \ y,(y / x) \ z) != u | T(x \ y,z / (y / x)) = u. T(x \ y,z / (y / x)) = T(x \ y,(x \ y) \ z). T(x \ y,(y / x) \ 1) != z | T(x \ y,y \ x) = z. x != (y * T(z,u)) / T(y,z) | T(z,T(u,y)) = x. T(x,T(y,z)) = T(x,T(y * K(x,u),z)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). K(x,K(y * (x \ z),x \ z)) = K(z,K(x,y * (z / x))). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). K(x * ((y \ z) \ 1),y / z) = K(((y \ z) \ 1) * x,y / z). K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). x != K(K(y,z) \ u,y) | K(u,y) = x. K(x \ y,z) = K((x * K(z,u)) \ y,z). K((x * K(y,z)) \ u,y) = K(x \ u,y). K(x \ y,z) = K((x * K(u,z)) \ y,z). K((x * K(y,z)) \ u,z) = K(x \ u,z). 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((K(x,y) * z) \ u,x) = K(z \ u,x). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). (x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z). K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. K(x \ K(y,z),z) = K(x \ 1,z). K(x,K(y \ 1,z)) * (y \ K(u,z)) = T(y \ K(u,z),K(x,z)). K(x,K(y,z)) * (x \ u) = K(x,T(y,z)) * (T(x,y) \ u). K(x,T(y,z)) * (T(x,y) \ u) = K(x,K(y,z)) * (x \ u). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). K(x,y) * z != K(x,T(y,u)) | K(u,K(y,x)) = z. K(x,K(y,z \ x)) = K(x,K(z,y)). K(x,K(y \ z,z)) = K(z,K(y,x)). x != K(y,K(z,u)) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y,z \ x)). K(x,K(y,z \ x)) = K(x,K(y,z)). x \ y != K(z,K(u,w \ z)) | x * K(z,K(w,u)) = y. x * K(x,K(y,z)) = T(x,K(z,y \ x)). T(x,K(y,z \ x)) = x * K(x,K(z,y)). K(x,K(y,z)) = K(x,K(x / z,y)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z)) = K(x,K(y,x / z)). K(x,K(y,x / z)) = K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ x). K(x,K(y,y / z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,y / z)). K(x,K(y,y / z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,z \ y)). K(x,K(y,z \ y)) = K(x,K(y,z)). K(x,K(y,z \ y)) != u | K(x,K(y,z \ 1)) = u. K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y,z)) * (z \ y) = T(z \ y,K(x,y)). K(x,K(y \ 1,z)) = K(x,K(z,y)). K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). x \ y != K(z,K(u,w \ 1)) | x * K(z,K(u,w)) = y. x * K(x,K(y,z)) = T(x,K(y,z \ 1)). T(x,K(y,z \ 1)) = x * K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z / (u * z))) = K(x,K(y,u)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). K(x,K(y,z)) = K(x,K(y \ 1,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,1 / y)). K(x,K(y,1 / z)) = K(x,K(z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). K(x,K(y,z)) = K(y,K(z,1 / x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). x != K(y,K(z,u)) | K(u,K(y,z)) = x. K(x,K(y,z)) = K(x \ 1,K(y,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). K(1 / x,K(y,z)) = K(y,K(x,z)). (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. K(1 / x,K(y,z)) = K(x,K(y,z)). K(1 / ((1 / x) / y),z) != u | (T(y * x,z) / x) / y = u. (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. K(x \ 1,K(y,z)) != u | K(y,K(z,x)) = u. T(x,K(y,z)) = T(x,K(z,y \ x)). T(x,K(y,z \ x)) = T(x,K(z,y)). x != y * K(y,K(z,u)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(y,z \ x)). T(x,K(y,z \ x)) = T(x,K(y,z)). x * y != T(z,K(u,w \ z)) | x \ T(z,K(w,u)) = y. (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). T(x,K(y,z)) = T(x,K(y,x / z)). T(x,K(y,x / z)) = T(x,K(y,z)). K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. T(x,K(y,z)) = T(x,K(y,z \ 1)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,y \ 1)). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y \ 1,z)) = T(x,K(z,y)). x \ y != T(z,K(u,w \ 1)) | x * T(z,K(u,w)) = y. K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. T(x,K(y \ 1,z)) = T(x,K(y,z)). T(x,K(y,z \ u)) = T(x,K(u \ z,y)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). T(x,K(y \ 1,z)) != u | T(x,K(y,z)) = u. T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. x != T(y,K(z,z \ u)) | T(y,K(z,u)) = x. T(x,K(y,z)) = T(x,K(z \ y,y)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. T(K(x,y),z) = T(K(x,y),z \ x). T(K(x,y),z \ x) = T(K(x,y),z). K(x,T(y,z \ 1)) = T(K(x,y),z). x != T(K(y,z),u) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z)). x != T(K(y,z),L(z,u,w)) | K(y,z) = x. K(x,y) = K(x,T(y,L(y,z,u) \ 1)). K(x,T(y,L(y,z,u) \ 1)) = K(x,y). T(x,y) != K(z,T(T(u,y),w)) | T(K(z,u),w) = x. T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x * y,T(z,y \ 1)) != u | K(x * y,T(z,x)) = u. K(x * y,T(z,x)) = K(x * y,T(z,y)). K(x * y,T(z,y)) = K(x * y,T(z,x)). x \ y != K(z,T(u,w \ 1)) | x * K(z,T(u,w)) = y. x * K(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = x * K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). K(x,(y \ 1) \ z) = K(x,T(z / (y \ 1),y)). K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). K(x * R(y,z,u),y) = K(x * R(y,z,u),T(y,x)). K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. K(x,T(y,z \ x)) != 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 \ z))) != w | K(x,T(y,T(u,z))) = w. T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(K(y,z),K(u,z) \ w) | T(K(y,z),w) = x. T(K(x,y),z) = T(K(x,y),z / K(u,y)). T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). x != K(((y \ 1) * (y * z)) \ u,w) | K(L(z,y,y \ 1) \ u,w) = x. K(L(x,y,y \ 1) \ z,y) = K(((y \ 1) * (x * y)) \ z,y). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). 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). x \ y != K(z,(u * K(w,z)) \ v5) | x * K(z,u \ v5) = y. x * K(x,y \ z) = T(x,(y * K(u,x)) \ z). T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). K(x,y \ z) = K(x,(y * K(x,u)) \ z). K(x,(y * K(x,z)) \ u) = K(x,y \ u). 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(x,(K(x,u) * y) \ z). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,(K(y,x) * z) \ u) = K(x,z \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). K(x,(y * z) \ u) = K(x,((y * K(w,x)) * z) \ u). K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). T(x,y \ z) = T(x,(y * K(u,x)) \ z). T(x,(y * K(z,x)) \ u) = T(x,y \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). T(x,(K(y,x) * z) \ u) = T(x,z \ u). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x \ y != L(K(z,K(u,w)),v5,v6) | x * K(z,K(u,L(w,v5,v6))) = y. (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(z,u,w))) = K(y,K(z,L(x,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,K(y,L(z,u,w))) != v5 | K(x,K(L(y,u,w),z)) = v5. K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,w))). K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. x != a(y,T(z,y),R(T(y,z),u,w)) | a(R(y,u,w),z,y) = x. a(R(x,y,z),u,x) = a(T(x,T(u,x)),T(T(u,x),x),R(T(x,u),y,z)). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. x \ R(x,y,x) = T(x \ R(x,y,x),y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). T(x * y,T(z,x)) = T(x * y,T(z,y)). T(x * y,T(z,y)) = T(x * y,T(z,x)). T(x * L(L(y,z,u),w,v5),y) = T(x * L(L(y,z,u),w,v5),T(y,x)). T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,L(y,x,x \ 1)) * (y * x) = x * y. K(x,y) = K(x,L(y,x,x \ 1)). K(x,L(y,x,x \ 1)) = K(x,y). (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. T(x,K(y,z)) \ z = T(x \ z,K(y,z)). T(x \ y,K(z,y)) = T(x,K(z,y)) \ y. T((K(x,y) * z) \ y,K(x,y)) = (z * K(x,y)) \ y. 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). T(1 / x,K(y,z)) \ 1 = T(x,K(y,z)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) = T(x,K(y,z)) \ 1. a(T(x \ 1,K(y,z)),u,w) != v5 | a(T(x,K(y,z)),u,w) = v5. T(x,y \ z) = T(T(x,z / y),K(y,z)). T(T(x,y / z),K(z,y)) = T(x,z \ y). T(T(x,y / z),K(z,y)) != u | T(x,z \ y) = u. T(T(x,K(y,z)),y / z) = T(x,z \ y). T(T(x,K(y,z)),z / y) = T(x,y \ z). 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(x,y / z) = T(T(x,K(z,y)),z \ y). T(T(x,K(y,z)),y \ z) = T(x,z / y). T(x,y / z) = T(T(x,K(y,z)),z \ y). T(T(x,K(y,z)),z \ y) = T(x,y / z). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). T(x / (y / z),T(z \ y,x / (y / z))) = T((y / z) \ x,K(y,z)). K(x,x \ y) * (z / (x \ y)) = T(z / T(x \ y,x),K(x,y)). T(x / T(y \ z,y),K(y,z)) = K(y,y \ z) * (x / (y \ z)). K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). L(K(x * L(y,z,u),y),T(y,x),w) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). x * y != T(z,u) * K(u * R(z,w,v5),z) | x \ R(z,u,R(z,w,v5)) = y. x \ R(x,y,R(x,z,u)) = K(x,y) * K(y * R(x,z,u),x). K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). 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)). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. (1 / x) * (K(x,y) * z) = (K(x,y) * (1 / x)) * z. (K(x,y) * (1 / x)) * z = (1 / x) * (K(x,y) * z). (K(x,y) / x) * z = (1 / x) * (K(x,y) * z). (1 / x) * (K(x,y) * z) = (K(x,y) / x) * z. ((K(x,x \ 1) / x) * y) / (1 / x) = ((1 / x) * y) / (x \ 1). (1 / x) * (T(x,y) * z) = (K(x,y) / x) * (x * z). (K(x,y) / x) * (x * z) = (1 / x) * (T(x,y) * z). x != (1 / y) * z | L(y \ z,y,y) = x. L(x \ (T(x,y) * z),x,x) = (K(x,y) / x) * (x * z). L(K(x,y) * z,x,x) = (K(x,y) / x) * (x * z). (K(x,y) / x) * (x * z) = L(K(x,y) * z,x,x). (x \ y) * (K(y,z) * K(y,z)) = x \ (K(y,z) * T(y,z)). L(x,y,z) * T(u,u * x) = K(u,u * x) * (L(x,y,z) * u). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). R(x,y,z) * T(u,u * x) = K(u,u * x) * (R(x,y,z) * u). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). x / (K(y,T(x,z)) * K(x,z)) = T(x * K(z,x),y). T(x * K(y,x),z) \ x = K(z,T(x,y)) * K(x,y). T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). K(x,y) * K(T(z,y),x) = T((y * x) / y,z) \ x. T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). L(x,y,L(x,z,u)) \ x = K(x,y) * K(T(L(x,z,u) * y,y),x). K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). (K(x,y) * z) \ (y * (T(T(y,x),x) \ u)) = ((K(x,y) \ 1) * z) \ u. L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). x != T(y,z / T(u,y)) | T(y,z / u) = x. T(x,1 / y) = (1 / T(y,x)) \ (T(x,y) * (1 / y)). (1 / T(x,y)) \ (T(y,x) * (1 / x)) = T(y,1 / x). T(x,y \ 1) = (1 / T(y,x)) \ (T(x,y) * (1 / y)). (1 / T(x,y)) \ (T(y,x) * (1 / x)) = T(y,x \ 1). x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). x != T(y * z,u) / z | z \ T(z * y,u) = x. x \ T(x * K(y,z),x) = K(y,(T(z \ x,x) / x) \ 1). K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). x != K(y,z) * L(T(z,y),u,w) | z * T(z \ L(z,u,w),y) = x. x * T(x \ L(x,y,z),u) = T(K(u,x) * L(x,y,z),u). T(K(x,y) * L(y,z,u),x) = y * T(y \ L(y,z,u),x). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). K(x,K(y,K(x,z) * u)) * (K(x,w) * u) = K(x,w) * T(u,K(x,y)). ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). K(x,1 / ((y * z) / y)) != u | K(x,1 / T(z,y)) = u. K(x,1 / T(1 / y,z)) = K(x,y * K(1 / y,z)). T(K(x,y),z) = K(x,y * K(1 / y,z)). K(x,y * K(1 / y,z)) = T(K(x,y),z). K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). T(x,1 / T(y,z)) = T(T(x,1 / y),K(1 / y,z)). T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). x != y * (z * K(y,z)) | T(y,z) * z = x. T(x,y) * y = (x / (x * y)) \ T(x,y). (x / (x * y)) \ T(x,y) = T(x,y) * y. (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != (y * T(y \ 1,z)) \ z | T(z,T(y \ 1,z)) = x. T(x,T(y \ 1,x)) = T(x,T((y \ z) / z,x)). T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). T(x,(y \ z) / z) = T(x,T(y \ 1,x)). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x,y \ 1) = T(x,(y \ z) / z). T(x,(y \ z) / z) = T(x,y \ 1). T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). x != T(y * (z / y),u / z) | T(y * (z / y),z \ u) = x. T(x * (y / x),y \ z) = T(x * (y / x),(y / z) \ 1). T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). T(x,(y / (z * z)) \ 1) != u | T(x,(z \ 1) \ (z / y)) = u. T(x,(y \ 1) \ (y / z)) = T(x,(y * y) / z). T(x,(L(y,z,y) * z) \ 1) = T(x,y / (y * (z * y))). T(x,y \ K(y,z)) = T(x,z / (z * y)). K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. T(x,y \ K(y,z)) != u | T(x,z \ (y \ z)) = u. T(x,y \ (z \ y)) = T(x,y / (y * z)). T(x,y / (y * z)) = T(x,y \ (z \ y)). K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). K(x,K(y,L(z,u,w))) = K(L(K(z,x),u,w),y). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). K(x,R(K(y,z),u,w)) = K(R(K(y,x),u,w),z). K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). K(R(K(x,y),z,u),w) != v5 | R(K(x,K(y,w)),z,u) = v5. R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. K(x,L(K(y,z),u,w)) = K(L(K(y,x),u,w),z). K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). K(x,K(y,L(z,u,w))) = K(x,L(K(z,y),u,w)). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). K(L(K(x,y),z,u),w) != v5 | L(K(x,K(y,w)),z,u) = v5. L(K(x,K(y,z)),u,w) = K(y,L(K(x,z),u,w)). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). T(x,L(K(y,z),u,w)) = L(K(y,K(x,z)),u,w) * x. L(K(x,K(y,z)),u,w) * y = T(y,L(K(x,z),u,w)). K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). T(x,K(y,L(z,u,w))) = T(x,L(K(y,z),u,w)). T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). 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,w),y) = v5. L(K(x,y),x * z,u) = K(L(x,z,u),y). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,z \ x)). K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x \ u)). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). K(x,y) / T(y,z) = 1 / (K(y,x) * T(y,z)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). (x / y) * (1 / (y \ x)) = ((y \ x) \ 1) * (x / y). ((x \ y) \ 1) * (y / x) = (y / x) * (1 / (x \ y)). ((x \ y) \ 1) * (y / x) != z | ((x \ y) \ (y / x)) * K((x \ y) \ 1,y / x) = z. ((x \ y) \ (y / x)) * K((x \ y) \ 1,y / x) = (y / x) * (1 / (x \ y)). (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). x / (y * ((z \ (y \ x)) * z)) != u | K(z,x / (z * y)) = u. K(x,y / (x * z)) = K(x,y / (x / (z \ 1))). K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). K(x,y / z) = K(x,y / (z * K(u,x))). K(x,y / (z * K(u,x))) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). K(x,y / z) = K(x,y / (z * K(x,u))). K(x,y / (z * K(x,u))) = K(x,y / z). K(x,y / (z * (K(u,x) / z))) = K(x,y / K(z,z \ K(u,x))). K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,y / (z * u)) = K(x,y / ((z * K(w,x)) * u)). K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). K(x,R(y / x,z,u)) != w | K(x,R(x \ y,z,u)) = w. K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / (z * u)) = K(x,y / ((K(x,w) * z) * u)). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). K((x * K(y,z)) \ u,T(y,w)) != v5 | K(x \ u,T(y,w)) = v5. K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). K(x / y,z) = K(x / (y * K(z,u)),z). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). T(x \ y,x) / ((x \ 1) \ (x \ y)) = (x \ y) / ((x \ 1) \ (y / x)). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x * K(((y * (z * y)) / y) / z,T(y,z * y) \ x) = (((y * (z * y)) / y) / z) * (x / (((y * (z * y)) / y) / z)). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). K(x * (y \ z),K(y,y \ z)) = K(z,K(y,x * (z / y))). x != K(y,K(z,u)) * (y \ w) | T(y,K(z,u)) \ w = x. T(x,K(y,z)) \ u = K(x,T(y,z)) * (T(x,y) \ u). K(x,T(y,z)) * (T(x,y) \ u) = T(x,K(y,z)) \ u. (x \ y) * (K(y,z) * K(y,z)) = x \ T(T(y,z),z). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). (x * K(y,z)) * (z \ 1) != u | R(x / T(z,y),z,z \ 1) = u. R(x / T(y,z),y,y \ 1) = x * (T(y,z) \ 1). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). x / (T(y,z) \ 1) = (x / (y \ 1)) * K(y,z). (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). (x / (y \ 1)) * K(y,x) != z | y * ((x / (y \ 1)) / y) = z. x * ((y / (x \ 1)) / x) = y / (T(x,y) \ 1). x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). R(x / T(y,z),y,y) = x * (T(y,z) \ 1). R(x,y,y) = (y * x) * (T(y,x) \ 1). (x * y) * (T(x,y) \ 1) = R(y,x,x). L(x,R(y,z,z),u) = L(x,(z * y) * T(z,y),u). L(x,(y * z) * T(y,z),u) = L(x,R(z,y,y),u). L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. x \ y != K(z,u) * (L(u,w,u) \ v5) | x * (L(T(u,z),w,u) \ v5) = y. T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). x != y \ T(y * K(z,u),y) | K(T(y / z,y) \ y,u) = x. K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). x * y != z * T(z \ L(z,u,w),v5) | T(K(v5,z) * L(z,u,w),v5) / y = x. T(K(x,y) * L(y,z,u),x) / (y * (y \ L(y,z,u))) = K(y \ L(y,z,u),T(x,y)). K(x,y * K(1 / y,z)) != u | T(K(x,y),z) = u. T(K(x,y),z * y) = T(K(x,y),z / (1 / y)). T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). T(K(x,y),z / (1 / y)) != u | K(x,1 / (z / (z / (1 / y)))) = u. K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y * z). T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). K(x,T(y,z)) = K(x,1 / (z / (z / (1 / y)))). K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(K(x,y),z * (x / y)) = K(z * (y \ x),K(y,y \ x)). K(x * (y \ z),K(y,y \ z)) = K(K(z,y),x * (z / y)). ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. x != K(y,z) | T(z,y) \ z = x. T(x * (y / z),K(y,z)) \ (x * (y / z)) = K(x * (z \ y),K(z,z \ y)). ((x * y) / x) / ((x * (y * K(z,T(y,u)))) / x) = K(y,T((z \ u) \ u,x)). K(x,T((y \ z) \ z,u)) = ((u * x) / u) / ((u * (x * K(y,T(x,z)))) / u). ((x * y) / x) / ((x * (y * K(z \ 1,y))) / x) = K(y,T((z \ u) / u,x)). K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(z / ((K(y,v5) * u) * w),x)). K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(x * K(y,z),z) = K(R(x,K(y,z),u),z). K(R(x,K(y,z),u),z) = K(x * K(y,z),z). R(K(x,y),z,R(x,u,w)) != v5 | K(x,y) = v5. K(x,y) = K(R(x,z,R(x,u,w)),y). K(R(x,y,R(x,z,u)),w) = K(x,w). R(K(x,y),z,L(x,u,w)) != v5 | K(x,y) = v5. K(x,y) = K(R(x,z,L(x,u,w)),y). K(R(x,y,L(x,z,u)),w) = K(x,w). R(K(x,y),z,u) = K(R(x,x \ z,u),y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). R(K(x,y),K(x,z) * u,w) = K(R(x,K(x,z) * (x \ u),w),y). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). T(R(x,y,R(x,z,u)),w) = K(x,w) * R(x,y,R(x,z,u)). K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). (K(x,y) / R(x,z,R(x,u,w))) \ 1 = R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. K(R(x,y,L(T(x,z),u,w)),v5) = K(T(x,z),T(v5,z)). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). x != R(y,1,z) | y = x. K(x,y) = K(R(x,x \ 1,z),y). K(R(x,x \ 1,y),z) = K(x,z). K(R(x,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. x != K(y,L(z,y,y \ 1)) | K(y,z) = x. K(x,y) = K(R(x,x \ 1,z),L(y,x,x \ 1)). K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). x != K(y * K(z,u),u) | K(y,u) = x. K(x,y) = K(R(x,K(z,y),u),y). K(R(x,K(y,z),u),z) = K(x,z). K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). K((x * y) / (z * y),u) = R(K(x / z,u),x,y). R(K(x / y,z),x,u) = K((x * u) / (y * u),z). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). R(K(x,y),y,z) != u | K(x,y) = u. K(x / (y / z),x) = K((x * z) / y,x). K((x * y) / z,x) = K(x / (z / y),x). K((x / y) \ z,z) = K((z * y) / x,z). K((x * y) / z,x) = K((z / y) \ x,x). K(x,y) = K(R(x,z,L(T(x,u),w,v5)),y). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. x != (K(y,z) / z) \ 1 | T(z,y) = x. T(x,y) = T(x,R(y,z,L(T(y,u),w,v5))). T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). R(K(x,y),x * z,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),T(u,w)) = K(R(x,y,z),T(u,x \ w)). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). x * K(R(y,z,u),T(w,y \ v5)) != K(R(y,z,u),T(w,v5)) | 1 = x. 1 = K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. R(T(x,y),z,R(x,u,w)) = K(x,y) * R(x,z,R(x,u,w)). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). x * y != K(z,u) * R(z,w,R(z,v5,v6)) | x \ R(T(z,u),w,R(z,v5,v6)) = y. x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * (x \ R(x,z,R(x,u,w))). K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. K(x,y) * R(x,z,x) = R(T(x,y),z,x). x * y != K(z,u) * R(z,w,z) | x \ R(T(z,u),w,z) = y. x \ R(T(x,y),z,x) = K(x,y) * (x \ R(x,z,x)). K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). T(x,K(y,z)) \ R(x,u,x) = x \ R(T(x,K(y,z)),u,x). x != K(y,T(z,u) \ 1) | K(y,T(z \ 1,u)) = x. K(x,T((y \ z) \ 1,u)) = L(K(x,T(z \ y,u)),z \ y,w). L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). T(x,x \ 1) * ((x * x) \ y) = (1 / x) * y. T(x,y) * ((x * x) \ z) = (x \ K(x,y)) * z. K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) != v5 | K(x,T(w,y)) = v5. x != T(y,L(z \ 1,z,u) \ 1) | T(y,z) = x. T(x,y) = T(x,x \ T(x * y,y \ 1)). T(x,x \ T(x * y,y \ 1)) = T(x,y). T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). x \ y = T(y / x,(y / x) \ T(y,x \ 1)). T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). K(x,x \ 1) * (x \ T(y,x)) = T(x \ T(y,x \ 1),x * x). T(x \ T(y,x \ 1),x * x) = K(x,x \ 1) * (x \ T(y,x)). x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. (x * (K(y,z) * u)) / (x * u) = L(K(y,T(T(z,u),x * u)),u,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). T(x * K(y,x),z) = x * (K(y,x) * K(x,T(z,y))). x * (K(y,x) * K(x,T(z,y))) = T(x * K(y,x),z). K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) != u | u = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). (x / y) * T(y \ x,T(z,y)) = (y \ x) * T(x / y,z). (x / y) * T(y \ x,z \ y) = (y \ x) * T(x / y,y / z). K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). x = T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)). T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). K(x,R(T(K(x,y),z),u,w)) != v5 | 1 = v5. 1 = K(x,a(K(x,y),z,u)). K(x,a(K(x,y),z,u)) = 1. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). x \ y != T(z,a(K(z,u),w,v5)) | x * z = y. a(K(x,y),z,u) * x = x * a(K(x,y),z,u). T(x,y) = T(T(x,y),a(K(x,z),u,w)). T(T(x,y),a(K(x,z),u,w)) = T(x,y). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). x / T(x * ((x / y) / x),y) = L(((x / y) / x) \ 1,(x / y) / x,x). L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. K(x * y,T(x,z)) != u | K(y * x,T(x,z)) = u. K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(x,u,w) \ z)). K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,L(x,z,u) \ w)) != v5 | K(x,T(y,w / L(x,z,u))) = v5. K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). K(x,T(y,z * u)) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). K(x,T(y,z * (u * x))) != w | K(x,T(y,z * (x * u))) = w. K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | T((x \ y) * (y \ x),z) = u. T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). T(x,(y \ z) * (z \ y)) = x. T(x,y * ((z * y) \ z)) = x. (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. K(x,y * ((z * y) \ z)) = 1. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) != u | T(x,z) * ((y * T(x,z)) \ y) = u. T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. (x / T(y,x)) * L(z,K(x,y),y \ x) = K(y,y \ x) * ((y \ x) * (K(x,y) * z)). K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). K(x,T(T(y,z),u)) = T(T(x * K(y,x),u),z) \ T(T(x,u),z). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). x * y != K(L(z,u,w),T(v5,w * (u * z))) | x \ K(L(z,u,w),T(v5,w * u)) = y. K(L(x,y,z),u) \ K(L(x,y,z),T(u,z * y)) = K(z * (y * x),K(L(x,y,z),u)). x != L(K(y,z),T(z,u),w) | K(y,z) = x. K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). (T(x,y) \ 1) * (x \ 1) = x \ (1 / T(x,y)). (x \ (1 / T(x,y))) \ z = x * ((T(x,y) \ 1) \ z). T(x,y) * ((x \ 1) \ z) = x * ((T(x,y) \ 1) \ z). (x \ y) * (((y / x) \ 1) \ z) = (y / x) * ((T(y / x,x) \ 1) \ z). (x / y) * ((T(x / y,y) \ 1) \ z) = (y \ x) * (((x / y) \ 1) \ z). x != K((y * z) / y,u) | K(z,T(u,y)) = x. K(x,T(y,z)) = (y * ((z * x) / z)) \ (x * (K(z,x) * y)). (x * ((y * z) / y)) \ (z * (K(y,z) * x)) = K(z,T(x,y)). (x \ T(x * y,z)) \ y = K(z,(x \ K(z,u)) \ y). K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. x != (y \ T(y * z,u)) \ z | K(u,(y \ 1) \ z) = x. K(x,(y \ 1) \ z) = K(x,(y \ K(x,u)) \ z). K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). x != K(y,((z \ 1) \ 1) \ u) | K(y,z \ u) = x. K(x,y \ z) = K(x,((y \ 1) \ K(x,u)) \ z). K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). (x * y) \ (T(x,z) * y) = L(K(x,T(z,y)),x,u). L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). x * y != ((y \ z) * y) * K(u,(y \ z) * y) | y \ (z * K(u,z)) = x. x \ (y * K(z,y)) = (x \ y) * K(z,(x \ 1) \ (x \ y)). (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). L(x,y,z) \ T(x,x \ 1) = (x \ (L(x,y,z) \ x)) * x. L(x,y,z) \ T(x,x \ 1) = (L(x,y,z) \ 1) * x. x != (y \ 1) / (y \ L(y,z,u)) | L(y,z,u) \ 1 = x. L(x,y,z) \ 1 = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. x != L(y,z,u) \ 1 | (y \ 1) * (L(y,z,u) \ y) = x. (x \ 1) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. x != L(y,z,u) \ y | (1 / L(y,z,u)) * y = x. (1 / L(x,y,z)) * x = (x \ L(x,y,z)) \ 1. (x \ L(x,y,z)) \ 1 = (1 / L(x,y,z)) * x. 1 / (L(x,y,z) \ x) = x \ L(x,y,z). x \ y != (z \ L(z,u,w)) \ 1 | x * (L(z,u,w) \ z) = y. L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x) = (x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w). (x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w) * (L(x,y,z) \ x). (L(x,y,z) \ x) \ (x \ L(x,y,z)) = (x \ L(x,y,z)) * (x \ L(x,y,z)). L(R(L(x,y,z) \ x,u,w),x \ L(x,y,z),x) = R(L(x,y,z) \ (x * 1),u,w). (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ ((1 / (x \ L(x,y,z))) \ u)) = (x \ L(x,y,z)) \ u. R(x,L(y,z,u) \ y,w) = R(x,y \ L(y,z,u),w). (x \ (y * L(y \ x,z,u))) \ 1 = L(x \ y,z,u) \ (x \ y). (L(x,y,z) \ x) * (L((x \ L(x,y,z)) \ 1,u,w) \ v5) = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5). L(L(x,y,z) \ x,u,w) * (((x \ L(x,y,z)) \ 1) \ v5) = L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5). ((x \ y) \ L(x \ y,z,u)) \ 1 = L((x \ 1) \ y,z,u) \ ((x \ 1) \ y). L((x \ 1) \ y,z,u) \ ((x \ 1) \ y) = ((x \ y) \ L(x \ y,z,u)) \ 1. (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) \ 1 = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). (x \ L(x,y,z)) \ 1 != u | L(x,y,z) \ x = u. R(T(x / (1 / (L(y,z,u) \ y)),w),y \ L(y,z,u),L(y,z,u) \ y) = T((x * (L(y,z,u) \ y)) / 1,w). R(x,L(y,z,u) \ y,w) != v5 | R(x,y * L(y,z,u),w) = v5. R(x,y * L(y,z,u),w) = R(x,y \ L(y,z,u),w). R(x,y \ L(y,z,u),w) = R(x,y * L(y,z,u),w). K(x \ y,x) * K(z,y / x) != u | x \ (y / T(y / x,z)) = u. x \ (y / T(y / x,z)) = K(z,y / x) * K(x \ y,x). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). T(T(x,y \ z),K(u,y \ z)) = T(x,T((z \ y) \ 1,u)). T(x,T(y \ z,u)) = T(x,T((z \ y) \ 1,u)). T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). K(x / y,z) / (y \ x) = (1 / (y \ x)) * K(x / y,z). (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). T(x,T(y \ (z \ y),u)) = T(x,T((z * y) \ y,u)). T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). x != K(y \ z,y) * T(u,y \ z) | (z / y) \ (u * (y \ z)) = x. (x / y) \ (z * (y \ x)) = T(z,x / y) * K(y \ x,y). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). K(x,T(T((y * z) / y,u),w)) = K(x,T(T(T(z,y),u),w)). (x \ y) * T(x,x \ 1) != z | x \ T(x * y,x) = z. x \ T(x * ((1 / x) \ y),x) = ((1 / x) \ (x \ y)) * x. x \ T((x * x) * y,x) = ((1 / x) \ (x \ y)) * x. x \ T((x * x) * y,x) = (x \ ((x \ 1) \ y)) * x. x != (y \ ((y \ 1) \ z)) * y | (y \ 1) \ T(z,y) = x. (x \ 1) \ T(y,x) = x \ T((x * x) * y,x). x \ T((x * x) * y,x) = (x \ 1) \ T(y,x). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,x * z)). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). K(x,K(y,z)) * (z \ K(u,y)) = T(z \ K(u,y),K(x,y)). T(x,K(y,z)) \ K(u,z) = T(x \ K(u,z),K(y,z)). T(x \ K(y,z),K(u,z)) = T(x,K(u,z)) \ K(y,z). K(x,y) * (K(x,z) * (y * x)) != u | T(x,z) * y = u. T(x,x \ y) * K(y,z) = K(x,T(x \ y,z)) * (K(y,z) * x). K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). x != K(y,K(z \ u,u)) | K(y,K(z,u)) = x. K(x,K(y,z)) = K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). T(T(x / T(y \ 1,y),K(y,1)),y) = T((1 / y) \ x,y * y). ((x \ 1) * y) / (1 / x) = ((1 / x) * y) / (x \ 1). ((1 / x) * y) / (x \ 1) = ((x \ 1) * y) / (1 / x). K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). K(x,y * K(z \ K(u,x),z)) = K(x,y / (z * (K(u,x) / z))). K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | T(y,R((z * u) / z,w,v5)) = x. T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). T(x,R((y * z) / y,u,w)) != v5 | T(x,R(T(z,y),u,w)) = v5. T(x,R(T(y,z),u,w)) = T(x,R(z / (z / y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). T(x,R(y / (y / z),u,w)) != v5 | T(x,R(T(z,z \ y),u,w)) = v5. T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ T(y / x,x). ((x / y) / (y \ 1)) \ T(x / y,y) = (y \ x) / ((y \ 1) \ (x / y)). x != K(y,y \ 1) * (y \ z) | ((y \ 1) \ 1) \ z = x. ((x \ 1) \ 1) \ T(y,x) = T(x \ T(y,x \ 1),x * x). T(x \ T(y,x \ 1),x * x) = ((x \ 1) \ 1) \ T(y,x). x != ((y \ 1) \ 1) \ T(y * z,y) | (y \ z) * y = x. (x \ y) * x = T(x \ T(x * y,x \ 1),x * x). T(x \ T(x * y,x \ 1),x * x) = (x \ y) * x. T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,v5) * y,w),u)). K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). ((x * y) \ (x * L(y,z,u))) \ 1 = L((x * y) \ x,z,u) \ ((x * y) \ x). L((x * y) \ x,z,u) \ ((x * y) \ x) = ((x * y) \ (x * L(y,z,u))) \ 1. L(x \ y,z,u) \ (x \ y) != w \ 1 | x \ (y * L(y \ x,z,u)) = w. ((x * y) \ (L(x,z,u) * y)) \ 1 = L((x * y) \ y,z,u) \ ((x * y) \ y). L((x * y) \ y,z,u) \ ((x * y) \ y) = ((x * y) \ (L(x,z,u) * y)) \ 1. (x \ (L(y,z,u) * (y \ x))) \ 1 = L(x \ (y \ x),z,u) \ (x \ (y \ x)). L(x \ (y \ x),z,u) \ (x \ (y \ x)) = (x \ (L(y,z,u) * (y \ x))) \ 1. x != K(y,z / u) * K(u \ z,u) | u \ (z / T(z / u,y)) = x. x \ (y / T(y / x,z)) = z \ ((y / x) \ (z * (x \ y))). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). 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). T(K(x,y),T(z,x * u)) != w | T(K(x,y),T(z,u)) = w. T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). T(T(x / (1 / y),K(y,1)),y) = T((1 / y) \ x,y * y). T(T(x / (1 / y),1),y) = T((1 / y) \ x,y * y). T(x / (1 / y),y) = T((1 / y) \ x,y * y). T((1 / x) \ y,x * x) = T(y / (1 / x),x). T((1 / x) \ y,x * x) != z | (x \ 1) \ T(y,x * x) = z. (x \ 1) \ T(y,x * x) = T(y / (1 / x),x). K(x,y / (((z \ 1) \ 1) * u)) != w | K(x,y / (z * u)) = w. K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))) = K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)). K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). K(K(x,x \ y) * z,x / y) = K(z,x / y). K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). K(L(x,y,z),T(u,x \ w)) != v5 | K(L((x \ w) \ w,y,z),u) = v5. K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). 1 / K(L(x,y,z),T(u,w)) = K(T(u,x \ w),L(x,y,z)). K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). x != 1 / K(y,T(z,u)) | K(z,T(y,u)) = x. K(x,T(L(y,z,u),w)) = K(T(x,y \ w),L(y,z,u)). K(T(x,y \ z),L(y,u,w)) = K(x,T(L(y,u,w),z)). K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). K(x,L(T(y,z),u,w)) = K(x,L(T(y,y * z),u,w)). K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). (x / y) / T(y \ x,z) != u | T(y \ x,z) \ (x / y) = u. K(x,K(y,(z * u) \ ((z * x) * u))) = 1. R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). x != R(y,z,K(u,z)) | y = x. T(x,T(y,z)) = ((z * y) / z) \ (x * (y * K(z,y))). ((x * y) / x) \ (z * (y * K(x,y))) = T(z,T(y,x)). x != R(y * K(z,y),u,w) \ R(y,u,w) | K(R(y,u,w),z) = x. K(R(x,y,z),u) = K(R(x,y,z),u * K(x,w)). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u) = K(R(x,y,z),u * K(w,x)). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). T(x,K(y,z)) \ R(x,y,x) = T(K(x,y),z) * K(x * y,x). T(K(x,y),z) * K(x * y,x) = T(x,K(y,z)) \ R(x,y,x). K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. K(R(x,y,z),T(u,x \ w)) != v5 | K(R(x,y,z),T(u,w)) = v5. K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). x != K((y * z) / (u * z),T(w,y)) | R(K(u \ y,w),y,z) = x. R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). T(x,L(K(y,z),u,w)) != v5 | T(x,K(y,L(z,u,w))) = v5. T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). L(x,y,z * ((T(z,u \ 1) / u) / z)) = L(x,y,z / u). ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. ((x \ 1) * y) \ T((x \ 1) * y,z) != u | L(K(x \ y,z),y,x \ 1) = u. L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). L(K(x,y),y * x,y \ 1) != z | T(y,(y \ 1) * (x * y)) \ y = z. T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). T(x,y) = T(x,(x \ 1) * (y * x)). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). T(x,(x \ 1) * y) = T(x,x \ y). T(x,(y \ 1) * z) != u | T(x,(1 / y) * z) = u. T(x,(1 / x) * y) = T(x,x \ y). x / T(y,(1 / y) * x) = y \ x. x / T(1 / y,y * x) = (1 / y) \ x. ((1 / x) \ y) \ y = T(1 / x,x * y). T(1 / x,x * y) = ((1 / x) \ y) \ y. T(1 / (x / y),x) = ((1 / (x / y)) \ y) \ y. K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). x * y != (T(z * u,z) / z) / u | (z \ R(z,u,z)) / y = x. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. T(x,T(y * z,y * y) / (1 / y)) = T(x,T(z * (y * y),y \ 1)). T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | T(y,z \ 1) = x. T(x,((y \ 1) \ 1) \ 1) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | T(y,z \ u) = x. T(x,y \ 1) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). T(T(x,1 / (y / z)),K(u,z / y)) = x * K(x,1 / T(y / z,u)). K(x,L(T(T(y,z),u * z),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. (x \ 1) \ (T(T(x \ 1,x),x) \ y) = (1 / x) \ ((1 / x) \ y). (x \ 1) \ (T(1 / x,x) \ y) = (1 / x) \ ((1 / x) \ y). (x \ 1) \ ((x \ 1) \ y) = (1 / x) \ ((1 / x) \ y). (1 / x) \ ((1 / x) \ y) = (x \ 1) \ ((x \ 1) \ y). x \ ((x * x) * ((1 / x) \ y)) = (x \ 1) \ ((x \ 1) \ y). (x \ K(x,y)) * (T(x,x \ 1) * z) = K(x,y) * L(z,x,x). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | T(y * K(u,y),z) = x. T(x * K(y,x),z) = T(x * K(y,x),K(x,u) * z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). T(x * K(y * R(x,z,u),x),y) != w | R(x,y,R(x,z,u)) = w. R(x,K(x,y) * z,R(x,u,w)) = T(x * K((K(x,y) * z) * R(x,u,w),x),z). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). 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). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). 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(y,u) * T(K(y,u) \ x,K(y,z)). K(x,y) * T(K(x,y) \ z,K(x,u)) = 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(x * K(y,z),T(z,u)) = T(T(x,z),K(z,u)) * K(y,z). T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). T(x,K(y,z)) * K(y,u) = T(x * K(y,u),K(y,z)). T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). x != T(y,K(z,u)) * K(z,u * y) | K(z,u * y) * y = x. K(x,y * z) * z = T(z * K(x,y * z),K(x,y)). T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. T((K(x,y) * z) * K(x,u),K(x,y)) = (z * K(x,y)) * K(x,u). K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). (K(x,y * z) * z) / T(K(x,y),z * K(x,y * z)) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). T(x,T(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). K(x,y) * T(z,T(x,u)) = T(K(x,y) * z,T(x,u)). T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). T(x,y) \ (K(x,z) * u) = K(x,z) * T(u / T(x,y),T(x,y)). K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). T(K(x,y) * (z * K(x,u)),K(x,y)) = (z * K(x,y)) * K(x,u). K(x,y) * (T(x,z) \ u) = T(x,z) \ (K(x,y) * u). T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). K(x,y) * (T(x,z) \ 1) != u | T(x,z) \ K(x,y) = u. (x * K(y,z)) * K(y,u) = (x * K(y,u)) * K(y,z). ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). T(x,y) / ((y \ 1) \ x) != z | (x / (y \ 1)) \ T(x,y) = z. ((x \ y) / (x \ 1)) \ T(x \ y,x) = (x \ y) / ((x \ 1) \ (y / x)). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). (x / y) * (((y \ x) \ 1) \ z) = (y \ x) * (((x / y) \ 1) \ z). (x / y) * (((y \ x) \ 1) \ 1) != z | (1 / (x / y)) \ (y \ x) = z. (1 / (x / y)) \ (y \ x) = (y \ x) * (((x / y) \ 1) \ 1). (x \ y) * (((y / x) \ 1) \ 1) = (1 / (y / x)) \ (x \ y). ((x / y) / (y \ 1)) \ (y \ x) = (y \ x) / ((y \ 1) \ (x / y)). (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ (x \ y). x != (y * K(z,T(u,w))) \ (y * u) | T(u,T(z,w)) = x. T(x,T(L(y,z,u),w)) = T(x,L((y \ w) \ w,z,u)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). T(x,T(y * z,y * y) / (1 / y)) != u | T(x,T(z * (y * y),y)) = u. T(x,1 / T(y / z,u)) = T(T(x,1 / (y / z)),K(u,z / y)). T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). T(T(x,1 / (y / z)),K(y,z)) != u | T(x,1 / T(y / z,y)) = u. T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). T(x,1 / (((y \ z) \ z) \ z)) != u | T(x,1 / (z / y)) = u. T(x,1 / (y / z)) = T(x,T(1 / (z \ y),y)). T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). T(x,T(1 / (y \ z),z)) != u | T(x,K(z,y / z) / (y \ z)) = u. T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). x != (y \ z) / ((y \ 1) \ (z / y)) | ((z / y) / (y \ 1)) \ (y \ z) = x. ((x / y) / (y \ 1)) \ (y \ x) = ((y \ x) / (y \ 1)) \ T(y \ x,y). ((x \ y) / (x \ 1)) \ T(x \ y,x) = ((y / x) / (x \ 1)) \ (x \ y). T(x,x \ y) \ 1 = ((y / x) / (x \ 1)) \ (x \ y). ((x / y) / (y \ 1)) \ (y \ x) = T(y,y \ x) \ 1. (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(x,y) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | L(z,y,z) = x. L(x,y,x) = L(x,K(z,x) * y,x). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). L((1 / T(x,y)) \ z,T(x,y),y) = (T(y,x) * (1 / x)) \ (y * z). T(x,y \ 1) * (x \ (y * z)) != u | y * (T(x,y \ 1) * (x \ z)) = u. x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). K(x,y \ z) * K((z \ y) \ x,x) = x \ R(x,(z \ y) \ 1,x). K(x,y \ z) * K(y \ (z * x),x) = x \ R(x,(z \ y) \ 1,x). K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | y \ R(y,z,y) = x. x \ R(x,y,x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). L(((x / y) / x) \ 1,(x / y) / x,x) != z | (T(x,y \ 1) / y) \ x = z. (T(x,y \ 1) / y) \ x = x / (y \ T(x,y \ 1)). x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. x / ((y \ 1) \ T(x,y)) = (T(x,(y \ 1) \ 1) / (y \ 1)) \ x. (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). (T(x,y) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). K(x,L(L(y \ 1,z,u),w,v5)) = K(x,L(L(1 / y,z,u),w,v5)). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). x != K(y,L(L(z \ 1,z,u),u * z,w)) | K(y,1 / L(z,u,w)) = x. K(x,1 / L(y,z,u)) = K(x,L(L(1 / y,y,z),z * y,u)). K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). x * ((x \ 1) * y) = L(y,T(x \ 1,z),x). L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). L(x,T(y \ 1,z),y) != u | L(x,y,y) = u. K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z,u)) = L(L(x,y,z),z * y,K(u,z)). L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u)). L(x,y,T(y,z)) = L(x,y,y). L(L(x,y,z),z * y,K(u,z)) != w | L(x,y,T(z,u)) = w. L(x,y,T(z \ u,z)) != w | L(x,y,u / z) = w. L(x,y \ z,z / y) = L(x,y \ z,y \ z). L(x,(y \ z) \ z,y) = L(x,(y \ z) \ z,(y \ z) \ z). L(x,(y \ z) \ z,(y \ z) \ z) = L(x,(y \ z) \ z,y). x != L(y,z,T(u,w)) | L(y,z,u * K(w,u)) = x. L(x,y,z * K(u,z)) = L(L(x,y,z),z * y,K(u,z)). L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). L(L(x,y,z),u,K(w,x)) != v5 | L(x,y,z) = v5. L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(x,y,T(y,z)) != u | L(x,y,y) = u. L(L(x,y,z),z * y,K(u,z)) != w | L(x,y,z * K(u,z)) = w. L(x \ y,z,y / x) = L(x \ y,z,x \ y). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(x,T(y,z),y) != u | L(x,T(y,z),T(y,z)) = u. L(T(x,y),z,x) = L(T(x,y),z,T(x,u)). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. L(T(x,y),z,x) = L(T(x,y),T(z,x),x). L(T(x,y),T(z,x),x) = L(T(x,y),z,x). T(x,L(T(y,z),u,y)) = T(x,T(y,z)). 1 / L(x,y,x) = T(L(x,y,x) \ 1,T(x,z)). T(L(x,y,x) \ 1,T(x,z)) = 1 / L(x,y,x). x != L(y,z,y) | L(y,z,T(y,u)) = x. L(x \ y,z,T(x \ y,u)) = L(x \ y,z,y / x). 1 / L(x,y,x) != T(z,T(x,u)) | L(x,y,x) \ 1 = z. T(x,T(y,z)) != 1 / L(y,u,y) | L(y,u,y) \ 1 = x. x != L(y,z,u * K(w,u)) | (u * (K(w,u) * z)) \ (u * (K(w,u) * (z * y))) = x. (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | K(y / (1 / z),u) = x. K((x \ y) / (1 / x),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). x \ y != K((z / u) / (1 / u),1 / u) | x * K((u \ z) / (1 / u),1 / u) = y. (1 / x) * K((x \ y) / (1 / x),1 / x) = (y / x) / ((y / x) / (1 / x)). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). (x \ y) / ((((x \ y) \ y) \ y) / x) = (y / x) / ((x \ y) / x). (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). K(T(x / (x / y),x) \ x,z) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. x != (T(y * z,K(u,w)) / z) / y | K(u,K(w,(1 / z) / y)) = x. K(x,K(y,(1 / z) / u)) = K(x,K((1 / z) / u,(u * z) / y)). K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). K(x,x \ y) * K((x \ y) \ 1,y / x) = (y / x) * (1 / (x \ y)). T(x * (y / z),K(y,z)) \ ((x * (z \ y)) * K(z,z \ y)) = K(x * (z \ y),K(z,z \ y)). ((x * y) / x) / ((x * (y * K(z,T(y,u)))) / x) != w | K(y,T(T(z,x),u)) = w. x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | K(z,T(u,y)) = x. K(x,T(y \ 1,z)) = K(x,T((y \ u) / u,z)). K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)). K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). L((x \ 1) \ y,z,u) \ ((x \ 1) \ y) = (x \ (y * L(y \ x,z,u))) \ 1. L((x \ 1) \ y,z,u) \ ((x \ 1) \ y) != w | L(x \ y,z,u) \ (x \ y) = w. T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). x / (y * (z * ((u \ (z \ (y \ x))) * u))) != w | K(u,x / (y * (z * u))) = w. K(x,y / (z * (u * x))) = K(x,y / (z * (x / (u \ 1)))). K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). K(x,y) * L(T(z,x),u,w) != v5 | T(K(x,y) * L(z,u,w),x) = v5. T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). K(x,1 / y) / y = (x / y) / ((x / y) / (1 / y)). (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). x / (x / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). (x * (y * T(y \ (x \ z),u))) / z != w | K(((x * y) / z) \ 1,u) = w. K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). x \ y != K(z / u,w) * K(K(u \ z,w) * z,z) | x * K(z / T(u,z),w) = y. x * K(x / T(y,x),z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(x / T(y,x),z). T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). x * y != T(x * K(x / z,u),x) | K(x / T(z,x),u) = y. K(x / T(y,x),z) = K(T(x,y) / y,z). K(T(x,y) / y,z) = K(x / T(y,x),z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). (x \ 1) \ (y * L(y \ (x \ 1),z,u)) = x \ (y * L(y \ x,z,u)). L(x \ (y * L(y \ x,z,u)),x,x) = x * (y * L(y \ (x \ 1),z,u)). (1 / x) * (y * L(y \ x,z,u)) = x * (y * L(y \ (x \ 1),z,u)). x != y * (z * L(z \ (y \ 1),u,w)) | (y * z) \ L(y * z,u,w) = x. (x * y) \ L(x * y,z,u) = (1 / x) * (y * L(y \ x,z,u)). (1 / x) * (y * L(y \ x,z,u)) = (x * y) \ L(x * y,z,u). (1 / x) * (y * L(y \ x,z,u)) != w | (x * y) \ L(x * y,z,u) = w. ((1 / x) * y) \ L((1 / x) * y,z,u) != w | (x * y) \ L(x * y,z,u) = w. T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). (x * T(y,z)) * (K(z,y) * u) != (x * (y * u)) * w | a(x,T(y,z),K(z,y) * u) = w. T(T(x,y),z) \ (K(x,y) * u) = T(x,T(z,y)) \ u. T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,y,R(x,z,u)) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). x != T(K(y,z),T(u,K(w,y))) | K(y,T(z,u)) = x. K(x,T(y,z)) = R(T(z,K(y,x)),K(x,y),z) \ T(K(x,y) * z,z). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). x != ((y / z) * z) / u | y / u = x. T(x,K(y,z)) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. x != T(y,z) / y | K(y,z) = x. K(x,K(y,z)) = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). K(x,K(y,z)) = R(K(x,(T(y,z) / u) / (y / u)),y / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | T(z / y,T(u,y)) = x. T(x / y,T(z \ x,y)) = T(T(T(x,y \ x) / y,x),x / z). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). K(x,T(T(y,K(z,u \ 1)),T((u \ z) * u,u))) = K(x,T(y,(u \ z) * u)). K(x,T(T(y,K(z,u)),T((u \ z) * u,u))) = K(x,T(y,(u \ z) * u)). T(x,(((y \ 1) \ 1) \ z) \ u) != w | T(x,(y \ z) \ u) = w. T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). T(T(x,K(y,z)),z \ y) != u | T(x,y / z) = u. T(x,y / (z \ u)) = T(x,y / (((z \ 1) \ 1) \ u)). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). x != ((y * ((z \ y) \ u)) / u) * (z \ u) | z \ (y * ((z \ y) \ u)) = x. x \ (y * ((x \ y) \ y)) = ((x \ y) \ y) * (y / T(T(x,x \ y),y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). x != y \ (z * ((y \ z) \ z)) | y * (z / T(y,z)) = x. x * (y / T(x,y)) = ((x \ y) \ y) * (y / T(T(x,x \ y),y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. K(x,y) * ((y * R(x,z,u)) * x) != w | (x * y) * R(x,z,u) = w. (x * y) * R(x,z,R(x,u,w)) = (R(x,z,R(x,u,w)) * y) * x. (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). K(x * ((y \ z) \ 1),T(z \ y,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). L(R(L(x,y,z) \ x,u,w),x * L(x,y,z),x) = R(L(x,y,z) \ (x * 1),u,w). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). x != (y * z) \ (z * (T(y,z) * u)) | L(u,T(y,z),z) = x. L(x,T(y,z),z) = L(L(x,y,z),z * y,K(y,z)). L(L(x,y,z),z * y,K(y,z)) = L(x,T(y,z),z). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. L(x,y,T(z,y)) = L(x,T(y,z),z). L(x,T(y,z),z) = L(x,y,T(z,y)). L(x,T(y,z),u) != w | L(x,y * K(z,y),u) = w. L(x,y * K(z,y),z) = L(x,y,T(z,y)). L(K(x,y) * (x \ z),x * K(y,x),y) != u | (T(y,x) * x) \ (y * z) = u. (T(x,y) * y) \ (x * z) = L(K(y,x) * (y \ z),y,T(x,y)). L(K(x,y) * (x \ z),x,T(y,x)) = (T(y,x) * x) \ (y * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. T(K(x,y) * z,T(z,K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). T(K(x,y) * L(y,z,u),x) / L(y,z,u) = K(y \ L(y,z,u),T(x,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = K(x \ L(x,y,z),T(u,x)). K(L(x,y,z),u) * K(u,x) = K(x \ L(x,y,z),T(u,x)). K(x \ L(x,y,z),T(u,x)) = K(L(x,y,z),u) * K(u,x). (x / y) * (K(x,y) * z) = (x / T(y,x)) * L(z,K(x,y),y \ x). (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). K(L(x,y,z),u) \ w != K(z * (y * x),K(L(x,y,z),u)) | (z * (y * T(x,u))) / (z * (y * x)) = w. (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | (y * K(z,u)) * (K(u,z) * w) = x. (x * K(y,z)) * (K(z,y) * u) = (x * K(T(y,u),z)) * (K(z,T(y,u)) * u). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. T(x,y * (((z \ (((u \ 1) \ 1) \ z)) * T(z,u \ 1)) \ w)) = T(x,y * ((u \ z) \ w)). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != T(y * (z / y),u) / T(z,u) | K(y,y \ T(z,u)) = x. K(x,x \ T(y,z)) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). K(x * K(y,z),(x / u) \ 1) != w | K(K(y,z) * x,x \ u) = w. K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). x != T(y,z) \ T(y * K(u,y),z) | K(u,T(y,z)) = x. K(x * y,T(T(x,z),u)) = K(T(x,w) * y,T(T(x,z),u)). K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). K(x,((y * z) \ z) * K(y * z,1 / y)) != u | K(x,w \ (w / y)) = u. K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). K(R(R(x,K(y,z),u),w,v5),z) != v6 | K(R(x,w,v5),z) = v6. K(R(x,K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) != v5 | K(R(K(y,z) * x,u,w),z) = v5. K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). K(R(K(x,y) * z,u,w),y) != v5 | R(K(z,y),u * (K(x,y) * z),w) = v5. R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). x != T(T(y * K(z,y),u),w) \ T(T(y,u),w) | K(y,T(T(z,w),u)) = x. K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(T(x,v5) * y,u),w)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). K(x,T(T(x * y,z),u)) = K(x,T(T(y * T(x,w),z),u)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). (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)). T(x,y * ((((z \ 1) \ 1) \ u) \ w)) = T(x,y * ((z \ u) \ w)). K(x,L(y \ 1,z,u) \ (K(w,L(1 / y,z,u)) * v5)) = K(x,L(T(1 / y,w),z,u) \ v5). K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). x != K((y / z) \ 1,u) | K(z / y,u) = x. K(x / (y * (z * x)),z \ 1) = K((y / R(1 / z,z,x)) \ 1,x / (z * x)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ R(1 / y,z,u),w) != v5 | K(x \ R(y \ 1,z,u),w) = v5. K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). x != (y \ R(y,z \ 1,y)) / (T(y * (z \ 1),y) / y) | z = x. x = R(x,x \ 1,y \ R(y,x \ 1,y)). R(x,x \ 1,y \ R(y,x \ 1,y)) = x. ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). K(R(x,y,z) * u,x) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) != u | K(y,y \ x) = u. K(x,x \ y) = K(x,y / (z * (x / ((z \ 1) \ 1)))). K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). K(x,y / (z * (x / (u \ 1)))) != w | K(x,y / (z * (u * x))) = w. K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). K(x,y / L(x,z \ 1,z)) = K(x,x \ y). K(x,y / L(x,z,u)) != w | K(x,L(x,z,u) \ y) = w. K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). K((x \ 1) \ y,(x * y) \ z) = K((x \ 1) \ y,((x \ 1) \ y) \ z). K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). K(x,L(y \ 1,z,u) \ (K(w,L(y \ 1,z,u)) * v5)) = K(x,L(T(1 / y,w),z,u) \ v5). K(x,T(L(y \ 1,z,u),w) \ v5) = K(x,L(T(1 / y,w),z,u) \ v5). K(x,L(T(1 / y,z),u,w) \ v5) = K(x,T(L(y \ 1,u,w),z) \ v5). K(x,L(T(1 / y,z),u,w) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5). K(x,T(y / (z * u),w)) = K(x,T(y / ((K(x,v5) * z) * u),w)). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). K(x,x \ y) * (z * (x \ y)) = T(z * (y / x),K(y,x)). T(x * (y / z),K(z,y)) = K(z,z \ y) * (x * (z \ y)). K(x,x \ y) * (z * (x \ y)) = T(z * (y / x),K(x,y)). K(L(x,y,z),L(x,y,z) \ 1) * (L(x,y,z) \ x) = T(x * (1 / L(x,y,z)),K(L(x,y,z),1)). K(x,x \ 1) * (((x \ 1) \ y) * (x \ 1)) = T(((x \ 1) \ 1) \ T(x * y,x \ 1),K(x,1)). T(((x \ 1) \ 1) \ T(x * y,x \ 1),K(x,1)) = K(x,x \ 1) * (((x \ 1) \ y) * (x \ 1)). T(x,K(y,z / y) / (z \ y)) != u | T(x,1 / (y / z)) = u. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). x != K(y,z) * ((z \ u) * z) | (T(z,y) \ u) * z = x. (T(x \ 1,x) \ y) * (x \ 1) = T(((x \ 1) \ 1) \ T(x * y,x \ 1),K(x,1)). T(((x \ 1) \ 1) \ T(x * y,x \ 1),K(x,1)) = (T(x \ 1,x) \ y) * (x \ 1). T(((x \ 1) \ 1) \ T(x * y,x \ 1),K(x,1)) = ((1 / x) \ y) * (x \ 1). T(((x \ 1) \ y) * (1 / x),K(x,1)) = ((1 / x) \ y) * (x \ 1). T(((x \ 1) \ y) * (1 / x),1) = ((1 / x) \ y) * (x \ 1). ((x \ 1) \ y) * (1 / x) = ((1 / x) \ y) * (x \ 1). ((1 / x) \ y) * (x \ 1) = ((x \ 1) \ y) * (1 / x). ((1 / x) \ (y * x)) * (x \ 1) != z | T(y,x \ 1) * x = z. T(x,y \ 1) * y = ((y \ 1) \ (x * y)) * (1 / y). ((x \ 1) \ (y * x)) * (1 / x) = T(y,x \ 1) * x. x != (y * (z / y)) \ (K(y,y \ z) * T(z,u)) | K(z,u) = x. K(x,y) = L(K((z \ 1) \ (z \ x),y),z \ x,T(z,z \ x)). L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). L(x,y \ z,T(y,y \ z)) != u | L(x,z / y,y) = u. L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. (x * y) / (x * (K(z,u) * y)) != w | w = K(u,(x * y) / (x * (z \ y))). (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. K(x,y * z) = K(x,y * (K(u,x \ 1) * z)). K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). T(x,y * z) = T(x,y * (K(u,x) * z)). T(x,y * (K(z,x) * u)) = T(x,y * u). K(x,T(y,z * u)) = K(x,T(y,z * (K(w,x) * u))). K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). K(x,(y * z) \ u) = K(x,(y * (K(w,x) * z)) \ u). K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). K(x,y * z) = K(x,y * (K(x \ 1,u) * z)). K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). K(T(x,y),z * ((x * y) \ y)) = K(T(x,y),z * (y / (x * y))). K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). K(x,y) * (R(x,z,u) * w) = R(x,z,u) * (K(x,y) * w). R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. R(x,y,z) \ K(x,u) = K(x,u) * (R(x,y,z) \ 1). K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). x * y != R(z,u,w) \ K(z,v5) | x \ (K(z,v5) * (R(z,u,w) \ 1)) = y. (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). R(K(x,y),R(y,z,u),w) = K(x,y). K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. K((x / (y * x)) \ 1,z * (x / (y * x))) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). K((x / (y * x)) \ 1,z) != u | K(y,z) = u. K(x,R(x \ 1,x,y) * z) = K((y / (x * y)) \ 1,z * (y / (x * y))). K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). K((x / (y * x)) \ 1,z) != u | T(K(T(y,w),z),w) = u. T(K(T(x,y),z * (u / (x * u))),y) = K(x,R(x \ 1,x,u) * z). K(x,y * (z / (x * z))) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). T(K(T(x,y),z),y) != u | K(x,z) = u. K(x,y * ((x * z) \ z)) = K(x,R(x \ 1,x,z) * y). K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). L((K(x,K(y,z)) * u) \ (y * w),K(x,K(y,z)) \ u,K(x,K(y,z))) = u \ (T(y,K(x,z)) * w). K(x,x \ 1) * (L(x,y,z) \ x) = T(x * (1 / L(x,y,z)),K(L(x,y,z),1)). T(x * (1 / L(x,y,z)),K(L(x,y,z),1)) = K(x,x \ 1) * (L(x,y,z) \ x). x != K(y,y \ 1) * (z \ y) | z \ T(y,y \ 1) = x. L(x,y,z) \ T(x,x \ 1) = T(x * (1 / L(x,y,z)),K(L(x,y,z),1)). T(x * (1 / L(x,y,z)),K(L(x,y,z),1)) = L(x,y,z) \ T(x,x \ 1). x != L(y,z,u) \ T(y,y \ 1) | (L(y,z,u) \ 1) * y = x. (L(x,y,z) \ 1) * x = T(x * (1 / L(x,y,z)),K(L(x,y,z),1)). T(x * (1 / L(x,y,z)),K(L(x,y,z),1)) = (L(x,y,z) \ 1) * x. T(x * (1 / L(x,y,z)),1) = (L(x,y,z) \ 1) * x. x * (1 / L(x,y,z)) = (L(x,y,z) \ 1) * x. (L(x,y,z) \ 1) * x = x * (1 / L(x,y,z)). x * y != T(x * (1 / L(x,z,u)),1) | T(L(x,z,u) \ 1,x) = y. T(L(x,y,z) \ 1,x) = 1 / L(x,y,z). (1 / L(x,y,z)) \ x = (L(x,y,z) \ 1) \ T(x,L(x,y,z) \ 1). (L(x,y,z) \ 1) \ T(x,L(x,y,z) \ 1) = (1 / L(x,y,z)) \ x. T(x,((L(y,z,u) \ 1) * y) * w) = T(x,(y * (L(y,z,u) \ 1)) * w). K(x * K(x \ y,T(x,z)),u) * (x * T(x \ y,z)) = (x * T(x \ y,z)) * K(x,u). K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). K(x,K(y,z)) * u != K(y,1 / (1 / (w \ (w / z)))) | K(y,x / (x * z)) = u. K(x,y / (y * z)) = K(x,(y / (1 / (1 / z))) / y). K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). K(x,(y / (1 / (1 / z))) / u) != w | K(x,(y / z) / u) = w. K(x,(y / z) / y) = K(x,y / (y * z)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) != v5 \ 1 | x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = v5. K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). (x * (y * ((x \ (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)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). x != K(y,z / K(u,y)) | K(y,z) = x. K(x,y) = K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)). K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). K(x,y * K(z \ K(u,x),z)) = K(x,y). K(x,y * (z \ K(u,x))) = K(x,y * (K(u,x) / z)). K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). R(T(x / (y \ L(y,z,u)),w),y \ L(y,z,u),L(y,z,u) \ y) = T((x * (L(y,z,u) \ y)) / 1,w). T(T(x,x * y) * K(z,T(x,(x * K(z,x)) * y)),u) = T(T(x * K(z,x),u),y * (x * K(z,x))). T(T(x,x * y) * K(z,T(x,x * (K(z,x) * y))),u) = T(T(x * K(z,x),u),y * (x * K(z,x))). T(T(x,x * y) * K(z,T(x,x * y)),u) = T(T(x * K(z,x),u),y * (x * K(z,x))). T(T(x * K(y,x),z),u * (x * K(y,x))) = T(T(x,x * u) * K(y,T(x,x * u)),z). T(T(x * K(y,x),z),u * (x * K(y,x))) = T(T(x,x * u) * K(y,T(x,u)),z). T(x * K(y,x),z * x) = T(x,x * z) * K(y,T(x,z)). T(x,x * y) * K(z,T(x,y)) = T(x * K(z,x),y * x). (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5). L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ 1). (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ 1) = L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x). L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5). 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)). T(x,R(y \ K(z,z \ 1),u,w)) != v5 | T(x,R(y \ 1,u,w)) = v5. T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | T(y,R(z,u,w)) = x. T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). x != 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). ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). (x \ K(x,y)) * T(x,z) = ((x \ 1) \ K(y,x)) \ T(x,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. x != ((y \ z) * y) / z | K(y \ z,y) = x. K(x \ y,x) = ((x \ y) * x) * (y \ 1). ((x \ y) * x) * (y \ 1) = K(x \ y,x). ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. ((x \ y) * x) * (y \ 1) != z | (1 / y) * ((x \ y) * x) = z. (1 / x) * ((y \ x) * y) = K(y \ x,y). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). K(x,y) = (x * y) * ((y * x) \ 1). x * y != K(z,K(u \ 1,w)) | x \ K(z,K(u,w)) = y. (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. ((x / y) * (y / x)) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). x != ((y / z) * (z / y)) * ((y / z) \ 1) | z / y = x. x / y = R(1 / (y / x),y / x,(y / x) \ T(y,y \ x)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. T(x,y \ (1 / z)) != u | T(x,y \ (z \ 1)) = u. T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. x \ y != T(z / u,(z / u) \ ((u / z) \ 1)) | x * (z / u) = y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 != z | ((y \ 1) * (y * x)) \ (y * x) = z. ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != L(T(y,z),u,w) \ (L(y,u,w) * v5) | K(z,L(y,u,w)) * v5 = x. K(x,L(y,z,u)) * (x * K(y,w)) = T(x * K(y,w),L(L(T(y,x),z,u),K(y,w),x)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | T(y,z) * u = x. T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(L(T(y,x),z,u),K(y,w),x)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) != v5 | T(x * K(y,z),L(y,u,w)) = v5. T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). L(x,y,z) * ((x \ 1) * T((x \ 1) \ (L(x,y,z) \ u),w)) = (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w). L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w). (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). (x \ (L(x,y,z) \ u)) * L((x \ (L(x,y,z) \ u)) \ (x \ u),w,v5) = L(L(x,y,z),w,v5) * (L(x,y,z) \ (x \ u)). (x \ (1 / x)) * (y / (((x \ 1) * x) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). (x \ (1 / x)) * (y / (K(x,x \ 1) * (((x \ 1) \ 1) \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). (x \ (1 / x)) * (y / (x \ z)) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). T(x / ((1 / y) \ z),(y \ 1) \ ((y \ 1) \ 1)) = (y \ (1 / y)) * (x / (y \ z)). (x \ 1) * (x \ (y / (x \ z))) = T(y / ((1 / x) \ z),(x \ 1) \ ((x \ 1) \ 1)). T(x / ((1 / y) \ z),(y \ 1) \ ((y \ 1) \ 1)) = (y \ 1) * (y \ (x / (y \ z))). T(x / ((1 / y) \ z),(1 / y) \ y) = (y \ 1) * (y \ (x / (y \ z))). R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(T(x,x \ 1) * T(x \ 1,x),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). x != R(1,y,z) | 1 = x. 1 = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. x \ y != K((z \ R(z,u,w)) \ (z \ 1),z \ R(z,u,w)) | x * 1 = y. (x \ 1) * 1 = ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)). ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. x * y != z * 1 | z / y = x. (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). (1 / x) * T((1 / ((x \ 1) \ 1)) \ (((x \ 1) \ 1) \ y),(x \ 1) \ 1) = (x \ (x \ y)) * ((x \ 1) \ 1). (1 / x) * T((x \ 1) \ (((x \ 1) \ 1) \ y),(x \ 1) \ 1) = (x \ (x \ y)) * ((x \ 1) \ 1). (1 / x) * T(x \ ((x \ 1) \ y),(x \ 1) \ 1) = (x \ (x \ y)) * ((x \ 1) \ 1). (1 / x) * T(x \ ((x \ 1) \ y),x) = (x \ (x \ y)) * ((x \ 1) \ 1). (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)) = (x \ (x / y)) \ L(x \ (x / y),z,u). x != (y \ z) \ L(y \ z,u,w) | y \ (z * L(z \ y,u,w)) = x. x \ ((x / y) * L((x / y) \ x,z,u)) = (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)). (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)) = x \ ((x / y) * L((x / y) \ x,z,u)). (((x * y) \ x) \ 1) \ (1 * L(1 \ (((x * y) \ x) \ 1),z,u)) = x \ ((x / y) * L(y,z,u)). (((x * y) \ x) \ 1) \ (1 * L(((x * y) \ x) \ 1,z,u)) = x \ ((x / y) * L(y,z,u)). (((x * y) \ x) \ 1) \ L(((x * y) \ x) \ 1,z,u) = x \ ((x / y) * L(y,z,u)). ((x * y) \ x) \ L((x * y) \ x,z,u) = x \ ((x / y) * L(y,z,u)). (x * y) \ (x * L(x \ (x * y),z,u)) = x \ ((x / y) * L(y,z,u)). (x * y) \ (x * L(y,z,u)) = x \ ((x / y) * L(y,z,u)). ((x * (y / x)) * x) \ (y * L(T(x,x \ y),z,u)) = y \ ((y / T(x,x \ y)) * L(T(x,x \ y),z,u)). ((1 / x) \ y) \ (x * (((x \ 1) \ 1) \ (z * x))) = (x \ y) \ T(z * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)). (x \ y) \ T(z * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)) = ((1 / x) \ y) \ (x * (((x \ 1) \ 1) \ (z * x))). (x \ y) \ T(z * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)) = ((1 / x) \ y) \ (x * (x \ (z * ((x \ 1) \ 1)))). (x \ y) \ T(z * (x \ 1),(x \ 1) \ ((x \ 1) \ 1)) = ((1 / x) \ y) \ (z * ((x \ 1) \ 1)). (x \ y) \ T(z * (x \ 1),(1 / x) \ x) = ((1 / x) \ y) \ (z * ((x \ 1) \ 1)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). L(K(x,y),z,u) * w = K(x,v5) * ((K(x,v5) \ w) * L(T(K(x,y),K(x,v5) \ w),z,u)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). x != y * K(z,z \ y) | z * (y / z) = x. x * (y / x) = (((x * (z * x)) / x) / z) * (y / (((x * (z * x)) / x) / z)). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,y,x)) = x * (z / x). x * y != z * (((z \ u) * w) / w) | x \ u = y. L(x,y,x) \ z = ((x \ z) * x) / L(x,y,x). ((x \ y) * x) / L(x,z,x) = L(x,z,x) \ y. L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. x \ y != ((z \ (u * x)) * z) / x | (z \ (x * u)) * z = y. (x \ (L(x,y,x) * z)) * x = z * L(x,y,x). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). x \ y != (R(z,u,w) \ 1) \ (R(z,u,w) \ K(z,v5)) | x * K(z,v5) = y. (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). x * K(y,y * z) != u / R(y,z,y) | u / T(y,z) = x. K(x,x * y) / T(x,y) = 1 / R(x,y,x). (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). x != K(y,z) \ u | K(z,y) * u = x. K(x,y) * R(y,z,u) = (K(y,x) / R(y,z,u)) \ 1. (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). (K(x,y) / R(x,z,R(x,u,w))) \ 1 != v5 | R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))) = v5. R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). K(x,y) = K(x,R(y,z,R(y,u,w))). K(x,R(y,z,R(y,u,w))) = K(x,y). K(x,R(y,z,R(T(y,u),w,v5))) = K(T(x,u),T(y,u)). K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). K(x,y) = K(x,R(y,z,R(T(y,u),w,v5))). K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). (x \ y) * L((x \ y) \ (x \ z),u,w) != v5 | x \ (y * L(y \ z,u,w)) = v5. x \ ((L(x,y,z) \ u) * L((L(x,y,z) \ u) \ u,w,v5)) = L(L(x,y,z),w,v5) * (L(x,y,z) \ (x \ u)). x \ (L(L(x,y,z),u,w) * (L(x,y,z) \ v5)) = L(L(x,y,z),u,w) * (L(x,y,z) \ (x \ v5)). x \ (L(L(x,y,z),u,w) * (L(x,y,z) \ v5)) = L(L(x,y,z),u,w) * (x \ (L(x,y,z) \ v5)). x \ (L(L(x,y,z),u,w) * v5) = L(L(x,y,z),u,w) * (x \ (L(x,y,z) \ (L(x,y,z) * v5))). L(L(x,y,z),u,w) * (x \ (L(x,y,z) \ (L(x,y,z) * v5))) = x \ (L(L(x,y,z),u,w) * v5). L(L(x,y,z),u,w) * (x \ v5) = x \ (L(L(x,y,z),u,w) * v5). x \ (L(L(x,y,z),u,w) * v5) = L(L(x,y,z),u,w) * (x \ v5). x \ L(L(x,y,z),u,w) = L(L(x,y,z),u,w) * (x \ 1). L(L(x,y,z),u,w) * (x \ 1) = x \ L(L(x,y,z),u,w). x * R(x \ (x \ L(L(x,y,z),u,w)),v5,v6) = R(L(L(x,y,z),u,w),v5,v6) * (x \ 1). x * R(x \ (x \ L(L(x,y,z),u,w)),v5,v6) = R(L(L(x,u,w),y,z),v5,v6) * (x \ 1). x * R(L(x \ (x \ L(x,y,z)),u,w),v5,v6) = R(L(L(x,y,z),u,w),v5,v6) * (x \ 1). x * R(L(x \ (x \ L(x,y,z)),u,w),v5,v6) = R(L(L(x,u,w),y,z),v5,v6) * (x \ 1). x * R(L(L(x \ 1,y,z),u,w),v5,v6) = R(L(L(x,y,z),u,w),v5,v6) * (x \ 1). R(L(L(x,y,z),u,w),v5,v6) * (x \ 1) = x * R(L(L(x \ 1,y,z),u,w),v5,v6). R(L(L(x,y,z),u,w),v5,v6) * (x \ 1) = x * L(R(L(x \ 1,y,z),v5,v6),u,w). R(L(L(x,y,z),u,w),v5,v6) * (x \ 1) = x * L(L(R(x \ 1,v5,v6),y,z),u,w). x != y * L(L(R(y \ 1,z,u),w,v5),v6,v7) | y \ L(L(R(y,z,u),w,v5),v6,v7) = x. x \ L(L(R(x,y,z),u,w),v5,v6) = R(L(L(x,u,w),v5,v6),y,z) * (x \ 1). R(L(L(x,y,z),u,w),v5,v6) * (x \ 1) = x \ L(L(R(x,v5,v6),y,z),u,w). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). x != ((y * (z / u)) / y) * u | u * ((y * (u \ z)) / y) = x. ((x * y) * z) * ((u * (((x * y) * z) \ (y * z))) / u) = (((u * (1 / R(x,y,z))) / u) * R(x,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | (y * ((u * (y \ w)) / u)) * z = x. ((x * y) * ((z * ((x * y) \ y)) / z)) * u = (((z * (1 / R(x,y,u))) / z) * R(x,y,u)) * (y * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | R(u,y,z) = x. R(x * ((y * (x \ 1)) / y),z,u) = R(x,z,u) * ((y * (R(x,z,u) \ 1)) / y). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). x * ((y * (x \ 1)) / y) != z | K(y,x \ 1) = z. K(x,R(y,z,u) \ 1) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). K(x,y \ 1) = K(x,R(y,x,z) \ 1). K(x,R(y,x,z) \ 1) = K(x,y \ 1). 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). 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). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). x \ y != K(z,R(u \ 1,w,v5) \ 1) | x * R(K(z,u),w,v5) = y. x * R(K(x,y),z,u) = T(x,R(y \ 1,z,u) \ 1). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. K(R(K(x,y),z,u) * w,x) = K(w,x). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) != u | (x / y) * z = u. (x / y) * z = R(K(y,x),x / y,z) * ((x / T(y,x)) * z). R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),z,u) \ 1 != w | w = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(x,y,z)). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). x * ((K(y,z) * x) \ 1) = R(K(z,y),x,(K(y,z) * x) \ 1). R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). R(K(x,y),z,u) != (z * u) / w | (K(y,x) * z) * u = w. K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). K(x,(y * (z \ 1)) \ 1) = R(K(x,z / y),z,z \ 1). R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). K(x,y * (z \ 1)) = R(K(x,y / z),y,z \ 1). R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). K(x,y / (z / R(x,u,w))) = K(x,(y * R(x,u,w)) / z). K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). R(K(x,y),z,x) != u | K(x,y) = u. K(x,y / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). x != K(y,z / (u / y)) | K(y,z / (y \ u)) = x. K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). K(x,R(y,y \ z,u)) != w | (v5 * R(K(y,x),z,u)) \ v5 = w. (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). x \ y != K(z,R(u,u \ w,v5)) | x * R(K(z,u),w,v5) = y. (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,R(y,T(z,y),u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),K(z,y) * u,w). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y),y * K(z,x),u) != w | K(x,y * K(z,x)) = w. K(x,y * K(z,x)) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). R(K(x,y),z,x \ 1) != u | K(x,y) = u. K(x,y) = K(x,R(y,z,x \ 1)). K(x,R(y,z,x \ 1)) = K(x,y). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x \ y != K(z,R(u,w,z)) | x * K(z,u) = y. x * K(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). x \ y != K(z,R(u,w,z \ 1)) | x * K(z,u) = y. R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). T(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). K(R(x \ R(x,y,z),x,y * z),u) != w | K(a(x,y,z),T(u,x * (y * z))) = w. K(a(x,y,z),T(x,x * (y * z))) = K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). T(R(x,y,z),y) = K(x,R(y,x,z)) * R(x,y,z). K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). K(x,y * R(x,z,u)) = K(x,R(x,z,u) * y). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,y) = K(x,K(R(x,z,u),w) * y). K(x,K(R(x,y,z),u) * w) = K(x,w). K(x,y * K(z,R(x,u,w))) = K(x,y). K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). K(x,R(x,y,z) \ u) = K(x,R(T(x,w),y,z) \ u). K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). 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 != K(y,z * K(u,y)) | K(y,z) = x. K(x,y) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). x / R(K(y,z),u,w) = x * R(K(z,y),u,w). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). (x * K(y,z)) \ x = R(K(z,y),R(z,u,w),v5). R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). K(x,y) = R(K(x,y),R(x,z,u),w). R(K(x,y),R(x,z,u),w) = K(x,y). R(K(x,y / (z / u)),y,u) != w | K(x,(y * u) / z) = w. K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). 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 * y) / z) != u | K(x,T(z \ (x * y),y)) = u. K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). 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). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). R(T(x,y),y,z) = K(x,R(y,x,z)) * R(x,y,z). K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) != v5 | K(x,(((y * K(z,x)) * u) * w) / (u * w)) = v5. K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,T(y \ (x * z),z)) != u | K(x,(y / z) \ x) = u. x * y != K(z,R(u,z,w)) * R(z,u,w) | x \ R(T(z,u),u,w) = y. T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). K(x,T(R(y,z,u),w)) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). x != T(y,T(z / (u / y),w)) | T(y,T(z / (y \ u),w)) = x. T(x,T(y / (x \ z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). K(x,T(y,z)) = K(x,R(T(y,z),y \ 1,u)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(T(y,z * u),y \ z,u)) != w | K(x,((y \ z) * u) \ (z * u)) = w. K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). T(K(x,y),z) = K(x,R(T(y,z),y \ 1,u)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). R(K(x,y),z,z \ 1) = K(x,((y \ z) * (z \ 1)) \ 1). K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). K(x / y,(x / y) / z) = K(x / y,x / (z * y)). 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,x / y) != z | K(x,y \ x) = z. K(x / y,z \ (x / y)) = K(x / y,x / (z * y)). K(x / y,x / (z * y)) = K(x / y,z \ (x / y)). K(x / y,x / z) != u | K(y \ x,z \ x) = u. K(x \ y,(z * x) \ y) = K(y / x,z \ (y / x)). K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). x != K(y,K(z,u \ 1)) | K(y,K(z,u)) = x. K(x,K(y,R(z,u,w))) = R(K(x,K(y,z \ 1)),u,w). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). x \ y != K(z,K(u,R(w,v5,v6))) | x * R(K(z,K(u,w)),v5,v6) = y. x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(x,R(K(y,z),u,w)) = v5. K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(x,K(y,R(z,u,w))) = v5. K(x,K(y,R(z,u,w))) = K(y,K(z,R(x,u,w))). K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). x != K(y,R(z,T(z,y) \ u,w)) | R(K(y,z),u,w) = x. R(K(x,y),z,u) = R(K(x,y),K(x,y) * z,u). R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). R(K(x,y),y \ 1,z) = R(K(x,y),y \ K(y,x),z). R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z = (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. K(x,y) * R(y,z,x \ 1) = R(y * K(x,y),z,x \ 1). R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). 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 * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). x != K(y,T(z,u)) | K(y,z) * K(y,K(z,u)) = x. K(x,y) * K(x,K(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). K(x,T(y,(x * z) * u)) != w | K(x,T(y,(z * x) * u)) = w. K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). K(x \ (y / z),T(x,y)) = K(x \ (y / z),T(x,z)). K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). R(K(x,y),z,u) != w | v5 / (R(K(y,x),z,u) * v5) = w. x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). x * y != R(K(z,u),T(u,w),v5) | x \ K(z,u) = y. T(x,y) \ K(z,x) = (K(x,z) * T(x,y)) \ 1. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). x \ T(x,R(y,z,u) \ 1) = R(x \ T(x,y \ 1),z,u). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). x != y \ T(y,R(z \ 1,z,u) \ 1) | T(y \ T(y,(u / (z * u)) \ 1),T(z,w)) = x. T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,R(K(y,z),u,w)) = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). T(x,K(y,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y \ 1,u,w))). T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(u \ z,R(y,u,u \ 1))). T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). R(x,y,R(x,z,u)) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = K(x,K(R(z,w,v5) \ z,R(y,z,u))). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,K(z,y) * u,w)) = K(x,R(T(y * K(z,y),z),u,w)). K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). K(x,R(y,z,u)) = K(x,R(y,K(w,y) * z,u)). K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,R(y,K(y,w) * z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). K(x,R(y,T(z,y),u)) != w | R(K(x,y),z * y,u) = w. R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,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(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). x != K(y,R(z,u * K(z,w),v5)) | K(y,R(z,u,v5)) = x. K(x,R(y,z,u)) = R(K(x,y),z * T(y,w),u). R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). R(K(x,y),z,u) = K(x,R(y,z / T(y,w),u)). K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). K(x,R(y,z / T(y,u),w)) != v5 | R(K(x,y),z * K(u,y),w) = v5. R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). x != K(y,z) | u / (K(z,y) * u) = x. x / (K(y,z) * x) = R(K(z,y),K(u,y),w). R(K(x,y),K(z,y),u) = w / (K(y,x) * w). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). K(x,y) = R(K(x,y),K(y,z),u). R(K(x,y),K(y,z),u) = K(x,y). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). K(x,y) * (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). L(x,K(y,z),K(z,u)) = x. (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). (x \ R(x,y,x)) * z = K(x,y) * (K(x * y,x) * z). K(x,y) * (K(x * y,x) * z) = (x \ R(x,y,x)) * z. L(x,K(y,z),K(y,u)) = x. x != T(y / (y / z),z \ y) | z = x. x = L(T(y / (y / x),x \ y),K(z,u),K(u,w)). L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. L(x,L(K(y,z),u,w),K(z,v5)) = x. L(x,K(y,z),K(u,K(z,w))) = x. L(x,K(y,z),K(u,y)) = x. K(x,y) * (K(x,z) * u) = (K(x,y) * K(x,z)) * u. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) != v5 | (K(u,z) * K(y,x)) \ w = v5. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). K(x,K(y,z)) * (K(u,y) * w) = (K(x,K(y,z)) * K(u,y)) * w. (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). K(x,y) * (L(K(z,x),u,w) * v5) = (K(x,y) * L(K(z,x),u,w)) * v5. (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) != w | u * K(K(x,y) * K(y,z),u) = w. (x \ L(x,y,x)) * z = K(y,x) * (K(x,y * x) * z). K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). x != K(y,z) * (K(y,z) * u) | z * (T(T(z,y),y) \ u) = x. x * (T(T(x,y),y) \ z) = (K(y,x) * K(y,x)) * z. (K(x,y) * K(x,y)) * z = y * (T(T(y,x),x) \ z). K(x,T(y,z)) * u = K(x,y) * (K(x,K(y,z)) * u). K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. (K(x,y) * K(x,z)) \ K(x,x \ 1) != u | ((x \ K(x,y)) * T(x,z)) \ 1 = u. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(x,x \ 1)). K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. (K(x,y) * K(x,z)) \ 1 = K(z,x) * K(y,x). (K(x,y) * (K(x,y) * z)) \ u = z \ ((K(y,x) * K(y,x)) * u). K(x,y) * K(z,y) = (K(y,x) * K(y,z)) \ 1. (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. 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))). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x,y) * z = K(u,x) * (K(x,y) * (K(x,u) * z)). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) != v5 | K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = v5. K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). K(x,y) * (K(x,z) * u) != K(x,z) * w | K(x,y) * u = w. K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (z * K(x * y,x)) = (x \ R(x,y,x)) * T(z,K(x,x * y)). (x \ R(x,y,x)) * T(z,K(x,x * y)) = K(x,y) * (z * K(x * y,x)). K(R(x,y,z),u) = K(R(x,K(x,w) * y,z),u). K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). K(R(x,K(x,y) * (x \ z),u),w) != v5 | R(K(x,w),K(x,y) * z,u) = v5. R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). K(R(x,y,z),u) = K(R(x,K(w,x) * y,z),u). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). x != K(R(y,y \ z,u),w) | R(K(y,w),z,u) = x. R(K(x,y),z,u) = R(K(x,y),K(x,w) * z,u). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,x) * u),w). R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),z * (K(u,y) * x),w) != v5 | K(R(x,K(u,y) * z,w),y) = v5. K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * x,w). R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). K(R(x,y,z),u) = K(R(x,K(w,u) * y,z),u). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). x != 1 / (y \ K(z,y)) | T(y,z) = x. T(x,R(y,z,u)) = T(x,R(y,K(w,x) * z,u)). T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. R(K(x,y),z * (u * K(w,x)),v5) != v6 | R(K(x,y),z * u,v5) = v6. R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,u)) = K(x,R(y * K(w,x),z,u)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y * K(x,w),z,u)). K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). (K(x,y) * (K(x,y) * z)) \ u = z \ (K(y,x) * (K(y,x) * u)). (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). (x * (T(T(x,y),y) \ z)) \ u = z \ (K(x,y) * (K(x,y) * u)). K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. (x * (T(T(x,y),y) \ z)) \ u = z \ (y * (T(T(y,x),x) \ u)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(T(x,y * z),u / (x * (y * z))) = K(T(x,y * z),u / ((y * T(x,y * z)) * z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). K(x,y / ((z * x) * u)) != w | K(x,y / ((x * z) * u)) = w. K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). x \ y != K(z,u / ((z * w) * v5)) | x * K(z,u / (z * (w * v5))) = y. x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). x != K(y,z) * (z * u) | z * (K(y,z) * u) = x. x * (K(y,x) * (K(z,x) / x)) = ((x \ K(x,z)) * T(x,y)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) != v5 | K(x,R(K(z,x) * y,u,w)) = v5. K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). K(x,R(y * K(z,x),u,w)) != v5 | K(x,R(y,u,w)) = v5. K(x,R(y,z,u)) = K(x,R(y,K(w,x) * z,u)). K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y,K(x,w) * z,u)). K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). K(x,y) = K(x,R(y,K(x,z),u)). K(x,R(y,K(x,z),u)) = K(x,y). K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)) = K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). x \ y != K(z,R(K(u,z) * w,v5,v6)) | x * K(z,R(w,K(u,z) * v5,v6)) = y. x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). K(R(x * y,z,u),x) = K(x * y,R(R(x,y,z),y * z,u)). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). (x \ R(x,y,x)) * T(z,K(x,y)) = K(x,y) * (z * K(x * y,x)). R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. R(K(x,T(T(y,z),z * u)),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. (x * y) \ ((x * K(z,u)) * y) = ((x * y) \ ((x * K(u,z)) * y)) \ 1. ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). x != L(y,z,u) * R(K(y,w),v5,v6) | R(K(y,w),v5,v6) * L(y,z,u) = x. R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). x != K(y,(z / u) \ 1) | K(y,u / z) = x. K(x,((x * y) * z) / ((u * y) * z)) = K(x,R(u / x,x * y,z) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). K(x,R(y / z,u,w) \ 1) != v5 | R(K(x,z / y),u,w) = v5. R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). K(R(x,y,z),u \ x) = K(x,((x * y) * z) / ((u * y) * z)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). K(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 \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. x \ T(x,y) = R(x \ T(x,y),y,z). R(x \ T(x,y),y,z) = x \ T(x,y). (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). L(x,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). L(x,1 / T(y,y \ z),u) != w | L(x,((y \ z) \ z) \ 1,u) = w. L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). x * y != L(K(z,u),w,u * z) * ((u * z) * w) | ((u * z) * (K(z,u) * w)) / y = x. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). T(T(x * K(y * R(x,z,u),x),w),y) != v5 | R(T(x,w),y,R(x,z,u)) = v5. R(T(x,y),z,R(x,u,w)) = R(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). K(x,T(y / (x * (z * u)),z * u)) = K(T(x,z * u),y / ((z * T(x,z * u)) * u)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | K(z,y) * u = x. K(x,y) * (K(y,x) * z) = L(z,T(x,u) \ ((y * x) / y),T(x,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). x = L(x,T(y,z) \ ((u * y) / u),T(y,z)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. L(x,K(y,z) * K(u,z),T(z,u)) != w | x = w. 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)). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). T(x,y) * ((T(x,y) \ 1) * z) != u | L(z,T(x,y) \ 1,x) = u. L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). T(K(x,T(y,z)) * u,w) * K(y,x) != v5 | K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = v5. (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). x != y * L(y \ 1,z,u) | y \ L(y,z,u) = x. L(x,y,z) \ L(L(x,y,z),u,w) = (z * y) \ (z * (y * (x * L(x \ 1,u,w)))). (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) \ L(L(z,y,x),u,w). L(K(x,y),z,u) * w != v5 | K(x,v6) * (L(K(x,y),z,u) * (K(v6,x) * w)) = v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). x != L(K(y,y \ 1),z,u) | K(y,y \ 1) = x. K(x,x \ 1) = L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). (x * y) \ (x * (y * (z \ L(z,u,w)))) = L(z,y,x) \ L(L(z,y,x),u,w). L(x,y,z) * L(x \ L(x,u,w),y,z) = L(L(x,y,z),u,w). L(x \ L(x,y,z),u,w) = L(x,u,w) \ L(L(x,u,w),y,z). L(x,y,z) \ L(L(x,y,z),u,w) = L(x \ L(x,u,w),y,z). L(x,y,z) \ L(L(x,y,z),u,w) != v5 | L(x \ L(x,u,w),y,z) = v5. x != y | y * 1 = x. L(L(x,y,z),u,w) * 1 = L(x,y,z) * L(x \ L(x,u,w),y,z). L(x,y,z) * L(x \ L(x,u,w),y,z) = L(L(x,y,z),u,w) * 1. L(x,y,z) \ L(L(x,u,w),y,z) = L(x \ L(x,u,w),y,z). x * y != L(z,u,w) * L(z \ L(z,v5,v6),u,w) | x \ L(L(z,u,w),v5,v6) = y. x \ L(L(x,y,z),u,w) = L(x,y,z) * (x \ L(x \ L(x,u,w),y,z)). L(x,y,z) * (x \ L(x \ L(x,u,w),y,z)) = x \ L(L(x,y,z),u,w). L(x \ 1,y,z) * L(x \ L(x,u,w),y,z) = L(L(x \ 1,y,z),u,w). x * y != L(z,u,w) \ L(L(z,u,w),v5,v6) | x \ L(z \ L(z,v5,v6),u,w) = y. L(x,y,z) \ L(x \ L(x,u,w),y,z) = L(L(x,y,z) \ 1,u,w). a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a((L(x,u,w) * L(L(x,u,w),y,z)) \ v5,v6,v7). a((L(x,y,z) * L(L(x,y,z),u,w)) \ v5,v6,v7) = a(L(x \ L(x,u,w),y,z) \ v5,v6,v7). (x \ y) \ L(L(1 / (y \ x),y \ x,x),z,u) = L((1 / (y \ x)) \ L(1 / (y \ x),z,u),y \ x,x). L((1 / (x \ y)) \ L(1 / (x \ y),z,u),x \ y,y) = (y \ x) \ L(L(1 / (x \ y),x \ y,y),z,u). a(x,L(y \ L(y,z,u),w,v5),v6) = a(x,L(y,w,v5) * L(L(y,w,v5),z,u),v6). a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = a(x,L(y \ L(y,w,v5),z,u),v6). a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,L(z,v5,v6) * L(L(z,v5,v6),u,w)). a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = a(x,y,L(z \ L(z,v5,v6),u,w)). L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,L(z,v5,v6) * L(L(z,v5,v6),u,w)). L(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = L(x,y,L(z \ L(z,v5,v6),u,w)). L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,L(y,w,v5) * L(L(y,w,v5),z,u),v6). L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = L(x,L(y \ L(y,w,v5),z,u),v6). L(x,y,z * L(u \ L(u,w,v5),v6,v7)) = L(x,y,z * (L(u,v6,v7) * L(L(u,v6,v7),w,v5))). L(x,y,z * (L(u,w,v5) * L(L(u,w,v5),v6,v7))) = L(x,y,z * L(u \ L(u,v6,v7),w,v5)). (x \ 1) * L(x * L(x,y,z),u,w) = x * (L(x,u,w) \ L(L(x,u,w),y,z)). x * (L(x,y,z) \ L(L(x,y,z),u,w)) = (x \ 1) * L(x * L(x,u,w),y,z). a(L(x,y,z) \ L((x \ 1) \ L(x \ 1,u,w),y,z),v5,v6) = a(L(L(x \ 1,y,z),u,w),v5,v6). L(x \ L(x,y,z),u,w) \ 1 = 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),y,z) \ 1. L(x \ L(x,y,z),u,w) \ 1 != v5 | L(L(x,u,w),y,z) \ L(x,u,w) = v5. L(x \ y,z,u) * L(x \ (y * L(y \ x,w,v5)),z,u) = L(L(x \ y,z,u),w,v5) * 1. L(L(x,y,z),u,w) \ L(x,u,w) = L(x \ L(x,y,z),u,w) \ 1. a(x,y,L(z,u,w)) = L(L(z \ L(z,y,x),u,w) \ 1,L(L(z,u,w),y,x),x * y). L(L(x \ L(x,y,z),u,w) \ 1,L(L(x,u,w),y,z),z * y) = a(z,y,L(x,u,w)). L(L(x \ L(x,y,z),u,w) \ 1,L(L(x,u,w),y,z),z * y) != v5 | a(z,y,L(x,u,w)) = v5. x != a(y,z,L(u \ L(u,w,v5),v6,v7)) | a(y,z,L(u * L(u,w,v5),v6,v7)) = x. a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,L(z,v5,v6) * L(L(z,v5,v6),u,w)). a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = a(x,y,L(z * L(z,v5,v6),u,w)). x != L(y,z,L(u \ L(u,w,v5),v6,v7)) | L(y,z,L(u * L(u,w,v5),v6,v7)) = x. L(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,L(z,v5,v6) * L(L(z,v5,v6),u,w)). L(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) = L(x,y,L(z * L(z,v5,v6),u,w)). x != L(y,L(z \ L(z,u,w),v5,v6),v7) | L(y,L(z * L(z,u,w),v5,v6),v7) = x. L(x,L(y * L(y,z,u),w,v5),v6) = L(x,L(y,w,v5) * L(L(y,w,v5),z,u),v6). L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = L(x,L(y * L(y,w,v5),z,u),v6). L(x \ 1,y,z) \ L(L(x,y,z),u,w) = L(x * L(x,u,w),y,z). L(x,y * L(z * L(z,u,w),v5,v6),v7) = L(x,y * (L(z,v5,v6) \ L(L(z,v5,v6),u,w)),v7). L(x,y * (L(z,u,w) \ L(L(z,u,w),v5,v6)),v7) = L(x,y * L(z * L(z,v5,v6),u,w),v7). a(x,y,L(z,u,w)) != L(v5,L(L(z,u,w),y,x),x * y) | L(z \ L(z,y,x),u,w) \ 1 = v5. L(x,L(L(y,z,u),w,v5),v5 * w) != a(v5,w,L(y,z,u)) | L(y \ L(y,w,v5),z,u) \ 1 = x. x != L(y,z,u * L(w \ L(w,v5,v6),v7,v8)) | L(y,z,u * L(w * L(w,v5,v6),v7,v8)) = x. L(x,y,z * L(u * L(u,w,v5),v6,v7)) = L(x,y,z * (L(u,v6,v7) * L(L(u,v6,v7),w,v5))). L(x,y,z * (L(u,w,v5) * L(L(u,w,v5),v6,v7))) = L(x,y,z * L(u * L(u,v6,v7),w,v5)). L(x,y * (z \ L(z,u,w)),v5) != v6 | L(x,y * (z * L(z,u,w)),v5) = v6. L(x,y * (L(z,u,w) * L(L(z,u,w),v5,v6)),v7) = L(x,y * L(z * L(z,v5,v6),u,w),v7). a(L(x,y,z) \ L(x \ L(x,u,w),y,z),v5,v6) = a(L(L(x \ 1,y,z),u,w),v5,v6). a(L(L(x,y,z) \ 1,u,w),v5,v6) = a(L(L(x \ 1,y,z),u,w),v5,v6). a(L(L(x \ 1,y,z),u,w),v5,v6) = a(L(L(x,y,z) \ 1,u,w),v5,v6). a(L(L(x,y,z),u,w),v5,v6) = a(L(L(x \ 1,y,z),u,w),v5,v6). a(L(L(x \ 1,y,z),u,w),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). L((1 / (x \ y)) \ L(1 / (x \ y),z,u),x \ y,y) = (y \ x) \ L(y \ x,z,u). x \ (y * L(y \ x,z,u)) = L((1 / (y \ x)) \ L(1 / (y \ x),z,u),y \ x,x). L((1 / (x \ y)) \ L(1 / (x \ y),z,u),x \ y,y) = y \ (x * L(x \ y,z,u)). L((x \ y) \ L(x \ y,z,u),x \ y,y) = y \ (x * L(x \ y,z,u)). L(x \ (y * L(y \ x,z,u)),x \ y,y) = y \ (x * L(x \ y,z,u)). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | L(y * L(y \ 1,w,v5),z,u) = x. L((x \ 1) * L((x \ 1) \ 1,y,z),x,u) = L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,w),u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). (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). K(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = K(y,L(x,z,u) \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). K(x,x \ 1) = K(x,L(x,y,z) \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,1 / y),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). L(T(K(x,y),z),u,w) = K(x,L(T(y \ 1,z),u,w) \ 1). K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1). K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). x * y != K(z,z \ 1) | x \ K(z,L(z,u,w) \ 1) = y. L(x,y,z) \ K(x,L(x,u,w) \ 1) = (1 / x) * (L(x,y,z) \ x). L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). x != K(y,z \ 1) | K(y,1 / z) = x. K(x,1 / L(y,z,u)) = L(K(x,1 / y),z,u). L(K(x,1 / y),z,u) = K(x,1 / L(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. T(x,y * L(K(x,z),u,w)) = T(x,y). L(L(K(x,y),z,u),w,v5) = K(x,L(L(y \ 1,z,u),w,v5) \ 1). K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,y * K(L(x,z,u),w)) = T(x,y). T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). K(x,L(y,z / y,u)) = L(K(x,y),z,u). 1 / L(K(x,y),z,u) != w | w = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. T(x,y * z) = T(x,y * T(z,K(x,u))). T(x,y * T(z,K(x,u))) = T(x,y * z). x \ y != L(K(z,u),w,v5) | x * K(z,L(u,w / u,v5)) = y. (x * y) * K(z,L(u,y / u,x)) = x * (y * K(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,y)) != u | K(x,y) = u. K(x,y) = L(K(x,y),z,y). L(K(x,y),z,y) = K(x,y). 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,L(y,z * K(y,u),w)) = L(K(x,y),z * T(y,u),w). L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). 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). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(L(x,y,z),z) = K(x,z). K((x * y) \ z,x) = K(y \ (x \ z),x). K(x \ (y * z),y) = K((y \ x) \ z,y). K((x \ y) \ z,x) = K(y \ (x * z),x). x \ y != L(K(z,u),w,u) | x * K(z,u) = y. (x * y) * K(z,x) = x * (y * K(z,x)). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). K(L(x,y,z \ 1),z) = K(x,z). T(x * K(y,x),L(y,z,x)) = x. R(x,y,z) \ R(x * K(u,x),y,z) = K(L(u,w,x),R(x,y,z)). K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). T(x * K(y,x),(x \ 1) * y) = R(x,x \ L(y,x,x),x). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). K(x * K(y,x),z) = K(x,T(z,L(y,u,x))). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). K(L(x,y,K(z,u)),u) = K(x,u). K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). T(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = T(x,y). x * K(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = x * K(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. 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)). 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)). 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). T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). K(x,1 / y) = K(x,L(1 / y,y,z)). K(x,L(1 / y,y,z)) = K(x,1 / y). K(x,y) = K(x,L(y,y,z)). K(x,L(y,y,z)) = K(x,y). x != K(y,L(z,u,w)) | (w * (u * T(z,y))) \ (w * (u * z)) = x. (x * (y * T(z,u))) \ (x * (y * z)) = L(K(u,z),y * z,x). 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,K(x,u)) != w | K(x,y) = w. K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). L(K(x,y),z,T(x,u)) != w | K(x,y) = w. K(x,y) = K(x,L(y,z,T(x,u))). K(x,L(y,z,T(x,u))) = K(x,y). K(x,L(y,z,x)) != u | K(x,y) = u. K(x * K(y,L(z,u,w)),z) = K(x,z). K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K(x,L(y,z,x \ 1)) != u | K(x,y) = u. K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. K(x * L(y,z,u),y) = K(L(y,z,u) * x,y). K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K((x * y) \ z,x) != u | K((x / (y \ 1)) \ z,x) = u. K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). K((x * y) \ z,x) != u | K((y * x) \ z,x) = u. K((x * y) \ z,y) = K(x \ (y \ z),y). K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). K(x \ (y \ z),y) * z = z * K(z / (y * x),y). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). R(x,y,K(z,x)) = x. R(x,y,K(z,T(x,u))) = x. T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). R(x,y,T(K(z,x),u)) = x. L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). K(x,y) * (z * K(u,T(x,w))) = (K(x,y) * z) * K(u,T(x,w)). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). T(x,y \ z) = T(x,(x \ y) \ (x \ z)). T(x,(x \ y) \ (x \ z)) = T(x,y \ z). T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). T(x,(x \ y) \ z) != u | T(x,(y / x) \ z) = u. T(x,(y / x) \ z) = T(x,y \ (x * z)). K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). K(x,(x * y) \ z) != u | K(x,(y * x) \ z) = u. K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,y \ z) = K(x,(x \ y) \ (x \ z)). K(x,(x \ y) \ (x \ z)) = K(x,y \ z). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). K(x,(x \ ((y * x) * (y \ 1))) \ z) != u | K(x,a(x,y,y \ 1) \ z) = u. K(x,a(x,y,y \ 1) \ z) = K(x,((y * x) * (y \ 1)) \ (x * z)). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). T(T(x,K(y,z \ (y * u))),y \ ((y \ z) \ u)) = T(x,((y \ z) \ u) / y). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K((x \ y) \ z,x) = K(y \ (z * x),x). K(x \ (y * z),z) != u | K((z \ x) \ y,z) = 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) \ 1) != z | y * (x * ((y \ 1) / x)) = z. x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). K(x,L(y,x,z)) = K(x,z \ (x \ (z * (x * y)))). K(x,y \ (x \ (y * (x * z)))) = K(x,L(z,x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. K(x \ y,z) = K(x \ ((z \ y) * z),z). K(x \ ((y \ z) * y),y) = K(x \ z,y). x != K(y * K(z,y),u) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,L(z,u,x))). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). T(x,y) = T(x,L(y,z,K(u,x))). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). L(K(x,1 / y),z,u) != w | K(x,L(y,z,u) \ 1) = w. L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. x != L(K(y,z),u,w) * K(z,v5) | K(z,v5) * L(K(y,z),u,w) = x. K(x,y) * L(K(z,x),u,w) = L(K(x,z),u,w) \ K(x,y). L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | w = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). K(x,y \ z) = K(x,L(y \ z,y,K(z,u))). K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). (x * (y * z)) / L(z,y,x) != u | x * y = u. x * y = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. x / L(K(y,z),u,w) != x * v5 | L(K(z,y),u,w) = v5. x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. T(x,T(y,x) \ z) != u | T(x,y \ z) = u. T(x,y \ (x \ z)) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ (x \ z)). T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). K(x,T(y / (x * (z * u)),z * u)) != w | K(T(x,z * u),y / ((z * T(x,z * u)) * u)) = w. K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. K(x,(K(x,y) * z) \ u) != w | K(x,z \ u) = w. K(x,y \ T(x,z)) = K(x,y \ x). K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. K(x,y \ x) = K(x,T(y,K(z,z \ x)) \ x). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). x != K(y,z \ y) | K(y,z \ T(y,u)) = x. K(x,T(y,z) \ T(x,u)) = K(x,T(y \ x,z)). (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). K((((x \ 1) \ 1) \ y) \ z,u) != w | K((x \ y) \ z,u) = w. K((x \ y) \ z,y) = K((x \ 1) \ (y \ z),y). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). K(x,T(y \ x,z)) != u | K(x,T(y,z) \ x) = u. K((x \ 1) \ y,z) = K((x \ z) \ (y * z),z). K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. x != T(y,y * z) * K(z,y) | L(y,z,y) = x. L(x,y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,y,x). L(x,T(y,K(x,z)),x) != u | L(x,T(y,T(x,z)),x) = u. L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(y \ z,y),u) != w | L(x,z / y,u) = w. L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). x != L(y,T(y,z) \ u,y) | L(y,y \ u,y) = x. L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). L(x,y / T(x,z),x) != u | T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)) = u. T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))) = K(x,L(L(x \ (y \ (z * x)),u,w),x,y)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ (x \ ((y * L(y \ z,u,w)) * x))). K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. 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(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). K(x,(y \ z) \ x) = K(x,z \ (y * x)). L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. 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 != L(K(z,(u \ w) \ v5),v5,u) | x * K(z,w \ (u * v5)) = y. (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. 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). x \ y != K(z,(u \ w) \ z) | x * K(z,w \ (u * z)) = y. x * K(x,y \ (z * x)) = T(x,(z \ y) \ x). K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * 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 * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). x != K(y,(1 / z) * u) | K(y,(z \ 1) * u) = x. K(x,(y \ 1) * z) = L(K(x,y \ z),z,y \ 1). L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). K(x,y) = L(K(x,y),z,L(y,u,w)). L(K(x,y),z,L(y,u,w)) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). L(K(x,y),z * y,u) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,L(y,u,w))) = K(x,y). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. 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 / T(z,u)),u) = K(x * (y / z),u). K(x * (y \ z),u) = K(x * (y \ T(z,u)),u). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). K(x * (K(y,z) * u),y) = K(x * u,y). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). K(x * ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. x != K(y,(y \ z) \ (y \ u)) | K(y,z \ u) = x. K(x,y \ ((x \ y) * z)) = L(K(x,x \ z),z,x \ y). L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. L(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. K(x,y \ R(x,z,u)) = K(x,(y \ 1) * R(x,z,u)). K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). K(x,((1 / y) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). L(K(x,y \ z),z,u) != w | K(x,(u * y) \ (u * z)) = w. K((K(x,y) * z) \ u,x) != w | K(z \ u,x) = w. K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ (y \ z),y \ z) = K(x \ (z / y),y \ z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). K(x,y / (x \ z)) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. K(x,y / (x \ z)) != u | K(x,(y * x) / z) = u. K(x,(y * x) / z) = K(x,(z / y) \ x). K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). K(x,y \ x) = K(x,(y \ (x * z)) / z). K(x,(y \ (x * z)) / z) = K(x,y \ x). K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). K(x,(x \ y) / z) = K(x,y / (z * x)). K(x,y / z) = K(x,(x * y) / (z * x)). K(x,(x * y) / (z * x)) = K(x,y / z). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. 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 \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,y \ (z \ u)) = K(x,y \ (z \ T(u,x))). K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). K(x,y \ (z * K(x,u))) = K(x,y \ z). K(x,y \ (z * u)) = K(x,y \ (z * (K(w,x) * u))). K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). 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) * x)) = K(x,y \ z). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ (z * u)) = K(x,y \ ((z * K(w,x)) * u)). K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). K(x,y \ z) = K(x,(x * y) \ (z * x)). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). K(x,(y * x) \ (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)). x != K(y,z \ ((u \ z) * y)) | K(y,T(u \ y,z)) = x. K(x,T(y \ x,z)) = K(x,(z / x) \ (y \ z)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). K(x,y \ z) = K(x,y \ ((T(u,x) / z) \ u)). K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) != u | z \ ((T(y,x) / z) \ y) = u. x \ ((T(y,z) / x) \ y) = K(z,((T(y,z) / x) \ 1) \ x). K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). x != K(y,z \ (T(y,u) \ w)) | K(y,z \ (y \ w)) = x. K(x,y \ (x \ z)) = K(x,(T(x,u) * y) \ z). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. x * y != K(z \ (u \ x),u) * x | K((u \ x) / z,u) = y. K((x \ y) / z,x) = K(y / (x * z),x). L(K(x,y),z,T(y,u)) = K(x,y). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). L(x,y,T(T(z,u),u)) != w | L(x,y,z) = w. L(K(x,T(y,z)),u,y) = K(x,T(y,z)). K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). K(x \ (y * z),T(y,u)) = K((y \ x) \ z,T(y,u)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). x * (y * ((x \ z) / y)) = z * K(y,x \ (y \ z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). ((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)). T(x,(K(y,x) * z) \ u) != w | T(x,z \ u) = w. T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ x) = T(x,y \ T(x,z)). T(x,y \ T(x,z)) = T(x,y \ x). T(x,y \ 1) = T(x,y \ K(x,z)). T(x,y \ K(x,z)) = T(x,y \ 1). T(x,y \ (z * x)) = T(x,y \ (x * z)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). T(x,T(x,y) / z) = T(x,z \ x). T(x,T(y,z) \ T(x,z)) != u | T(x,T(y \ x,z)) = u. T(x,T(y \ x,z)) = T(x,T(y,z) \ x). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). x != T(y,z \ (y * u)) | T(y,(z / y) \ u) = x. T(x,(y / x) \ z) = T(x,y \ (z * x)). T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). K(x,T(y,z \ u)) = K(x,T(y,z \ (y \ u))). K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). K(x * y,T(x,y \ (x \ z))) != u | K(x * y,T(x,z)) = u. K(x * y,T(x,z)) = K(x * y,T(x,y \ z)). K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). K(x,T(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). x != K(y * z,T(y,u)) | K(z * y,T(y,u)) = x. K(x * y,T(y,z)) = K(y * x,T(y,x \ z)). K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). K(x * y,T(y,z)) = K(x * y,T(y,x * z)). K(x * y,T(y,x * z)) = K(x * y,T(y,z)). K(x / y,z \ (x / y)) != u | K(y \ x,(z * y) \ x) = u. K(x \ y,(z * x) \ y) = K(y / x,z \ (x \ y)). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). K(x,T(x \ y,z)) = K(x,T(x \ y,z \ y)). K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). 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((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). T(x,y / (x \ z)) = T(x,(z / y) \ x). T(x,y / (x \ z)) != u | T(x,(y * x) / z) = u. T(x,(y * x) / z) = T(x,(z / y) \ x). K(x,T(y \ z,u)) = K(x,T(y \ (K(x,w) * z),u)). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). K(x,(y * z) \ 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)). x != K(y \ (T(z,u) \ w),z) | K(y \ (z \ w),z) = x. K(x \ (y \ z),y) = K((T(y,u) * x) \ z,y). K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). K(x / (y \ z),y) = K(z \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. R(x,y,z) * (x \ K(u,T(x,w))) = (x \ R(x,y,z)) * T(K(u,x),w). (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). K(x \ (y * z),T(z,u)) != w | K((y \ x) \ z,T(z,u)) = w. K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * (y * K(z,u))),T(z,w)). K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). K(x,y / z) = K(x,(K(x,u) * y) / z). K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,y / z) = K(x,(y * K(u,x)) / z). K(x,(y * K(z,x)) / u) = K(x,y / u). K(x,K(y,1 / (z / u))) = K(x,K(y,(z * K(w,y)) / u)). K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). K(x,y \ (((z / x) * u) * w)) = K(x,y \ (((x \ z) * u) * w)). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). (x * y) * K(z,u * u) = x * (y * K(z,u * u)). K(x,y * (z * K(x,u))) = K(x,y * z). K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). K(x,y * (K(x,z) * u)) = K(x,y * u). K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). K(x / y,z * (y * (x / y))) = K(x / y,z * x). K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). K(x,y * (z * u)) = K(x,y * (z * (K(w,x) * u))). K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). K(x,y * (z * u)) = K(x,y * (z * (u * K(w,x)))). K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). (T(x,y) * z) * K(u,w * w) = z * (T(T(x,z),y) * K(u,w * w)). x * (T(T(y,x),z) * K(u,w * w)) = (T(y,z) * x) * K(u,w * w). x != K(y,L(T(z,y),u,w)) | K(y,L(z,u,w)) = x. K(x,L(y,x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. K(x \ y,z \ (x \ y)) = K(x \ y,(x * z) \ y). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. K(x,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. (x * y) / (x * (K(z,u) * y)) = L(K(u,T(T(z,y),x * (K(z,u) * y))),y,x). L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). K(x * (y / R(z,u,z)),z) != w | K(x * (R(z,u,z) \ y),z) = w. K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). x != K(y,((1 / z) * u) \ w) | K(y,((z \ 1) * u) \ w) = x. K(x,((y \ 1) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). x != K(y * (z / T(y,u)),y) | K(z,y) = x. K(x,y) = K(y * (R(y,z,y) \ x),y). K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. K(x * R(y,z,y),y) = K(y * x,y). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). T(x,x * y) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = T(x,x * y). x * K(x,x * y) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). K(x,R(x,y,x) * z) = K(x,x * z). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). L(K(x,y),z,z \ 1) = K(x,((z \ 1) * (z / y)) \ 1). K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). L(T(K(x,y),z),u,w) * v5 = L(T(K(y,x),z),u,w) \ v5. L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),z * T(y,w),u). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). K(x \ (y * (z * u)),z) = K((y \ x) \ (z * u),L(z,u,y)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). x \ y != L(K(z,u),u * w,v5) | x * K(z,L(u,w,v5)) = y. (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). x != K(y,L(z,u / z,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = L(K(x,y),z * K(y,w),u). L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). K(x,y) = L(K(x,y),K(y,z),u). L(K(x,y),K(y,z),u) = K(x,y). L(K(x,y),K(z,y),u) = K(x,y). x \ y != L(K(z,u),K(u,w),v5) | x * K(z,u) = y. (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). x \ y != L(K(z,u),K(w,u),v5) | x * K(z,u) = y. (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). L(K(x,T(x * y,z)),K(x * y,x),y) != u | (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = u. (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). (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)). (x * K(y,z)) * K(u,y) != w | (x * K(u,y)) * K(y,z) = w. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). T(x,K(y,z)) * K(u,z) = (K(y,z) * x) * (K(z,y) * K(u,z)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(x,y)) * K(u,y). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). (x * K(y,z)) * K(z,u) != w | w = x * (K(y,z) * K(z,u)). (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x * K(y * z,y)) * K(y,z) != u | K(y * z,y) * (K(y,z) * x) = u. K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). R(x,K(y,z),K(z,u)) = x. L(K(x,y),K(z,x),u) = K(x,y). (x * K(y,z)) * K(z,z * y) != u | (x / R(z,y,z)) * z = u. (x / R(y,z,y)) * y = x * (K(z,y) * K(y,y * z)). x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,L(K(y,z),u,w),K(z,v5)) = x. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). R(x,K(y,z),R(K(z,u),w,v5)) = x. (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,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 * (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). R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. x != K(y * R(z,u,w),z) * K(z,y) | z \ R(z,y,R(z,u,w)) = x. x \ R(x,y,R(x,z,u)) = (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). x != K(y * L(z,u,w),z) * K(z,y) | z \ R(z,y,L(z,u,w)) = x. x \ R(x,y,L(x,z,u)) = (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). (x * y) \ (y * T(x,x \ y)) != z | a(x,y / x,x) = z. a(x,y / x,x) = K(y,x) * K(x,x \ y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. K(x,y) * K(y,y \ x) != z | y \ R(y,y \ x,y) = z. x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). x * a(x,y,x) = R(x,y,x). x \ R(x,(y \ z) \ 1,x) != u | K(x,z \ y) * K(z \ (y * x),x) = u. K(x,y \ z) * K(y \ (z * x),x) = a(x,(z \ y) \ 1,x). x \ R(x,y,x) != z | T(x,u) \ R(T(x,u),y,x) = z. T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x \ R(x,y,x) != z | K(x,y) * K(y * x,x) = z. K(x,y) * K(y * x,x) = a(x,y,x). x \ R(x,y * K(x,z),x) != u | x \ R(x,y,x) = u. x \ R(x,y,x) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = x \ R(x,y,x). x \ R(x,x \ y,x) != z | K(y,x) * K(x,x \ y) = z. K(x,y) * K(y,y \ x) = a(y,y \ x,y). a(x,y,x) \ R(x,y,x) = x. a(x,y,x) * x = R(x,y,x). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). a(x,y,x) \ K(x * y,x) = K(y,x). K(x,T(y,z)) * a(y,u,y) = T(y,T(x,z)) \ R(y,u,y). T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). R(x,x \ 1,a(y,x \ 1,y)) = x. x \ R(x,y,x) != z | a(x,y,x) = z. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). K(x,x * y) * a(x,y,x) = K(x,y). a(x,y,x) * K(y,x) = K(x * y,x). K(x,y) * a(y,x,y) = K(y * x,y). a(x,y,x) * z = K(x * y,x) * (K(x,y) * z). K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. a(x,y,x) \ z = K(y,x) * (K(x,x * y) * z). K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. x \ y != K(z,u) * K(z * u,z) | x * a(z,u,z) = y. (x * y) * a(y,x,y) = T(y * x,y). a(x,y,x) * (y * x) = T(x * y,x). K(x,y) * a(y,x,y) = K(x * y,y). a(x,y,x) * z = K(y * x,x) * (K(x,y) * z). K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. x \ y != K(z,T(u,w * z)) | x * K(z,T(u,w)) = y. a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). T(x,y) / y = (y \ x) * a(y,y \ x,y). (x \ y) * a(x,x \ y,x) = T(y,x) / x. T(x * a(y,x,y),y) = y \ T(y * x,y). R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. K(x,y) * K(x * y,x) != z | a(x,y,x) = z. K(x,y) * a(x,x \ y,x) = K(x,x \ y). (x * K(y,y * z)) \ (x * K(y,z)) != u | L(a(y,z,y),K(y,y * z),x) = u. a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). a(x,y,x) * T(x,z) = R(T(x,z),y,x). a(x,y,T(x,z)) = x \ R(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). a(x,x \ y,x) * z = K(x,x \ y) * (K(y,x) * z). K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. K(x,y) * z = a(x,y,x) * (K(x,x * y) * z). a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. x != K(y,z) * (K(z,u) * 1) | K(y,z) * K(z,u) = x. K(x,y) * K(y,y * x) = a(y,x,y) \ 1. K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. K(x,y) * K(y,y * x) != z | y \ L(y,x,y) = z. x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. K(x,y) * (K(y,x * y) * z) != u | (y \ L(y,x,y)) * z = u. (x \ L(x,y,x)) * z = a(x,y,x) \ z. L(x,y,x) = a(x,y,x) \ x. a(x,y,x) \ x = L(x,y,x). x * y != a(z,u,z) \ R(z,u,z) | z / y = x. x / R(x,y,x) = x \ L(x,y,x). (x \ L(x,y,x)) \ z = a(x,y,x) * z. x \ (y \ L(y,z,u)) != (y \ L(y,z,u)) * (y \ L(y,z,u)) | L(y,z,u) \ y = x. L(x,y,x) \ x = a(x,y,x). L(x,y,x) \ L(a(x,y,x) \ x,z,u) = a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)). a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) = L(x,y,x) \ L(a(x,y,x) \ x,z,u). x / R(x,y,z) != u | R(x,y,z) \ x = u. R(x,y,x) \ x = x \ L(x,y,x). (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). x * y != R(z,u,z) \ z | x \ (z \ L(z,u,z)) = y. x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). x != (x * (K(y,z) * K(u,y))) * w | K(z,y) * K(y,u) = w. (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) != w | u * K(K(x,y) * K(y,z),u) = w. 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))). x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). x \ y != K(z,z \ u) * (K(u,z) * w) | x * (a(z,z \ u,z) * w) = y. (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). L(K(x,y),z * T(y,u),w) != v5 | K(x,L(y,z,w)) = v5. K(x,L(y,z,u)) = K(x,L(y,z * K(y,w),u)). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). K((x * (y / x)) \ z,y) != u | K(y \ z,y) = u. K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(x,y) = K(K(z \ y,z) * x,y). K(K(x \ y,x) * z,y) = K(z,y). x \ y != K(K(z \ u,z) * w,u) | x * K(w,u) = y. (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). T(x,(y \ 1) \ z) = T(x,(y \ x) \ (z * x)). T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). x * K(x,(y \ x) \ z) = T(x,(y \ 1) \ (x \ z)). T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)). K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). 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)). K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). K(x / y,z \ (y \ x)) != u | K(y \ x,(z * y) \ x) = u. K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). x != K(y,T((z \ u) \ 1,w)) | K(y,T(u \ z,w)) = x. K((x \ y) \ z,T(y \ x,u)) = K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)). K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). K(x,K(y,z \ (x \ u))) = K((T(x,w) * z) \ u,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). x != K(y,K(z,1 / u)) | K(y,K(z,u)) = x. K(x,K(y,z / u)) = K(x,K(y,(z * K(w,y)) / u)). K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). x != K(y,T(z,u)) | K(T(y,u),z) = x. K(T(x,y),z \ T(x,u)) = K(x,T(z \ T(T(x,w),u),y)). K(x,T(y \ T(T(x,z),u),w)) = K(T(x,w),y \ T(x,u)). x != K(y,T(z \ T(y,u),w)) | K(y,T(z \ y,w)) = x. K(x,T(y \ x,z)) = K(x,T(y \ T(T(x,u),w),z)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). ((1 / x) * (K(y,z) * x)) \ u = L(T(K(z,y),x),x,x \ 1) * u. L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. x != K(y,L(z,K(z,u) * w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,z,u)) = L(K(x,y),T(y,w) * z,u). L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). x != (y / T(z,z * u)) * K(z,u) | y / L(z,u,z) = x. x / L(y,z,y) = (x / y) * (K(y,z) * K(y * z,y)). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (x / y) * a(y,z,y) = x / L(y,z,y). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). ((x \ y) * x) / L(x,z,x) != u | L(x,z,x) \ y = u. L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. L(x,y,x) * (z * a(x,y,x)) = x * z. (x / L(y,z,y)) * y != u | y * (L(y,z,y) \ x) = u. x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (T(x * y,x) / x) \ (y * x) = L(x,y,x). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x * (L(x,y,x) \ z) != u | T(x,w) * (L(T(x,w),y,x) \ z) = u. T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. x != R(y / z,u,z \ y) | R(T(y / z,K(z,y)),u,y / z) = x. R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,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,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(K(a(x,y,T(z,y)),y),u) = K((x * (z * y)) \ ((x * y) * z),K(y,u)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). (x * K(y,z)) * K(u,y) != w | x * (K(u,y) * K(y,z)) = w. x != (y / z) * (K(y,z) * u) | (y / T(z,y)) * L(u,K(y,z),z \ y) = x. (x / T(y,x)) * L(z,K(x,y),y \ x) = (y \ x) * (a(y,y \ x,y) * z). (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). x != K(y,T(z \ (u * y),u)) | K(y,(z / u) \ y) = x. K(x,(y / z) \ x) = K(x,T((z \ y) \ x,z)). K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). x != R(y,z,u) \ R(y * K(w,y),z,u) | K(w,R(y,z,u)) = x. K(x,R(y,z,u)) = K(L(x,w,y),R(y,z,u)). K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). K(x * y,R(x,z,u)) = K((x \ 1) \ y,R(x,z,u)). K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). K(x \ y,R(x \ 1,z,u)) = K((x \ 1) * y,R(x \ 1,z,u)). K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). (x * K(y,z \ (y \ 1))) \ x = K((u * z) \ (y \ u),y). K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. K(x \ (y \ 1),y) = K((z * x) \ (y \ z),y). K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). K(((x \ 1) * y) \ (z * (x \ 1)),x) != u | K(y \ T(z,x \ 1),x) = u. K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). x != K(y \ T(z,u \ 1),u) | K(y \ z,u) = x. K(x \ y,z) = K(((z \ 1) * x) \ (z \ y),z). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). K(((x \ 1) * (y * x)) \ z,x) != u | K(L(y,x,x \ 1) \ z,x) = u. K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). K((x * (y \ 1)) \ z,y) = K(T(x,y \ 1) \ (z * y),y). K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). x != K((y * z) \ (u * z),z) | K(y \ u,z) = x. K(x \ y,z) = K(L(x,z,z \ 1) \ y,z). K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). K(T(x,y \ 1) \ z,y) != u | K(x \ z,y) = u. K(x \ (y * z),z) = K((x * (z \ 1)) \ y,z). K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). K((x * (y \ 1)) \ z,y) != u | L(K(y * (x \ z),y),x \ z,x) = u. L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). K((x * (y \ 1)) \ (x * z),y) != u | L(K(y * z,y),z,x) = u. L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). x != K(y,(z * K(u \ y,u)) \ w) | K(y,z \ w) = x. K(x,y \ x) = K(x,(K(z \ x,z) * y) \ x). K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). K(x,(K(y,z) * u) \ x) != w | K(x,u \ (K(z,y) * x)) = w. K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). K(x,y \ (z * (x / z))) = K(x,y \ x). K(x,y \ ((z \ x) * z)) = K(x,y \ x). K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). (x * y) * K(z,x * y) = x * (y * K(z,(x \ 1) \ y)). x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) != u | K(y / (x * (z * y)),z \ 1) = u. K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K(x,y) * z != K(x,T(y,(y \ u) \ w)) | K(x,K(y,u \ w)) = z. K(x,K(y,z \ u)) = K(x,K(y,z \ (u * y))). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). K(x,K(y,z \ u)) = K(y,K(x,z \ (u * x))). K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) != w | K(x,K(y,(z / x) \ u)) = w. K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). K(x,K(y,(z / x) \ u)) != w | K(x,K(y,(x \ z) \ u)) = w. K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,K(y,z \ (x \ u))) != w | K((T(x,v5) * z) \ u,K(x,y)) = w. K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ (x * u))) = w. K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). x \ y != K(z,T(u,a(z,w,v5))) | x * K(z,u) = y. x * K(x,y) = T(x,T(y,a(x,z,u))). T(x,T(y,a(x,z,u))) = x * K(x,y). T(x,y) = T(x,T(y,a(x,z,u))). T(x,T(y,a(x,z,u))) = T(x,y). (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) != u | K(x,y \ x) = u. K(x,y \ x) = K(x,a(x,z,z \ 1) \ (y \ R(x,z,z \ 1))). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (x \ K(x,y)) * (T(x,x \ 1) * z) != u | K(x,y) * L(z,x,x) = u. K(x,y) * L(z,x,x) = (K(x,y) / x) * (x * z). (K(x,y) / x) * (x * z) = K(x,y) * L(z,x,x). (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (K(x,y) / x) * (x * z) != u | L(K(x,y) * z,x,x) = u. L(K(x,y) * z,x,x) = K(x,y) * L(z,x,x). L(x,y,y) * K(y,z) = L(x * K(y,z),y,y). L(x * K(y,z),y,y) = L(x,y,y) * K(y,z). K((x * y) \ (z \ u),z) = K((x * (y * z)) \ u,z). K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. K((x * (y * z)) \ u,z) != w | K((x * (z * y)) \ u,z) = w. K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). L(x * K((y * z) \ (x \ u),x),w,v5) / L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). K(x \ y,1 / z) = K((x * z) \ ((1 / z) \ y),1 / z). K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). T(x,(y * (x * z)) \ u) = 1 / (x \ K((y * z) \ (x \ u),x)). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). x != K(y,1 / (z \ u)) | 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 * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (y / x)) \ u) = w. L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,((w / y) * L(y,z,u)) \ (w * L(y,z,u))). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. K(x * y,x) * (K(x,y) * z) != u | a(x,y,x) * z = u. a(x,y,x) * z = z * a(x,y,x). x * y != K(z * u,z) * (K(z,u) * x) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). a(x,y,x) * z != K(x * y,x) * (K(x,y) * u) | T(u,a(x,y,x)) = z. T(x,a(y,z,y)) = x. x * y != K(z * u,z) * (K(z,u) * w) | (a(z,u,z) * w) / y = x. (a(x,y,x) * z) / a(x,y,x) = z. x * K(y,a(z,u,z)) = x. a(x,y,x) \ z = z / a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. (a(x,y,x) \ z) * a(x,y,x) = z. a(x,y,x) * z != u | z * a(x,y,x) = u. x / a(y,z,y) != u | a(y,z,y) \ x = u. T(x,y \ R(y,z,y)) = x. x != y * a(z,u,z) | a(z,u,z) * y = x. x * a(y,z,y) != u | a(y,z,y) * x = u. L(a(x,y,x),z,u) = (u * (z * a(x,y,x))) / (u * z). (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). (x \ R(x,y,x)) \ z = z / (x \ R(x,y,x)). x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. x != a(y,z,y) | y \ R(y,z,y) = x. x \ R(x,y,x) = T(a(x,y,x),z). T(a(x,y,x),z) = x \ R(x,y,x). (x * (a(y,z,y) * u)) / L(a(y,z,y),u,x) = x * u. x * y != (z * L(u,w,u)) * a(u,w,u) | x \ (z * u) = y. a(x,y,x) \ (z * x) = z * L(x,y,x). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). a(x,y,x) * z != u | (x \ L(x,y,x)) \ z = u. (x \ L(x,y,x)) \ z = z * a(x,y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. a(x,y,x) * z = z * (x \ R(x,y,x)). x * (y \ R(y,z,y)) = a(y,z,y) * x. L(x,y,x) * (a(x,y,x) * z) = x * z. x != y / a(z,u,z) | a(z,u,z) * x = y. x / a(y,z,y) != u | a(y,z,y) * u = x. (x / y) \ (a(y,z,y) \ x) = L(y,z,y). T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). x * y != a(z,u,z) * w | (w * (z \ R(z,u,z))) / y = x. (x * (y \ R(y,z,y))) / (K(y,z) * x) = K(y * z,y). x != a(y,z,y) * 1 | y \ R(y,z,y) = x. x \ R(x,y,x) = (x \ L(x,y,x)) \ 1. (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). x * y = a(x,z,x) * (L(x,z,x) * y). a(x,y,x) * (L(x,y,x) * z) = x * z. K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). T(K(x * y,x),K(x,y) * z) != u | (K(x,y) * z) \ (z * (x \ R(x,y,x))) = u. ((K(x,y) * z) \ (z * (x \ R(x,y,x)))) / ((z * (x \ R(x,y,x))) / K(x * y,x)) = ((z * (x \ R(x,y,x))) / (K(x,y) * z)) / (K(x,y) * z). x != T(y,z) * (R(y,u,w) \ 1) | R(y,u,w) \ T(y,z) = x. R(x,y,x) \ T(x,z) = x \ ((x \ L(x,y,x)) * T(x,z)). x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). R(x,y,x) \ T(x,z) != u | R((z * x) / z,y,x) \ x = u. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. (K(x,y) / z) * K(x,K(y,1 / z)) != u | T(K(x,y),1 / z) / z = u. T(K(x,y),1 / z) / z = T(K(x,y) / z,K(x,y)). T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) != u / z | K(x,T(y,z)) = u. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). x != a(y,z,y) | T(a(y,z,y),u) = x. T(a(x,y,x),z) = a(T(x,u),y,T(x,u)). a(T(T(x,y),x \ z),u,T((x \ z) \ z,y)) = a(T(x,y),u,T(x,y)). a(T(T(x,y),x \ z),u,T((x \ z) \ z,y)) = a((x \ z) \ z,u,(x \ z) \ z). a(T(x,y),z,T(x,y)) != u | u = a(x,z,x). a(T(x,y),z,T(x,y)) != u | a(x,z,x) = u. T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). K(((x / y) \ 1) * z,T(y / x,x / y)) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). x != y / (K(z,u) * y) | K(u,z) = x. K(x,y \ (x \ 1)) = K(x,z / (x / ((y * z) \ 1))). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). K(x,y / (x / (z \ 1))) != u | K(x,y / (x * z)) = u. K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. T(K(x,y),z \ u) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). T(x,(y * (x * z)) \ u) != w | T(x,(y * (z * x)) \ u) = w. T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). L(x,y,z) \ K(x,L(x,u,w) \ 1) != v5 | 1 / L(x,y,z) = v5. 1 / L(x,y,z) = (1 / x) * (L(x,y,z) \ x). (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). (1 / x) * a(y,y,x) = 1 / L(x,y,y). K(x,K(y \ x,y) * z) = K(x,x \ (x * z)). K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). K(x,y * K(z \ x,z)) = K(x,y). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). K(x,y * (z \ x)) = K(x,y * (x / z)). K(x,y * (x / z)) = K(x,y * (z \ x)). K(x,y \ z) = K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)). K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. x \ y != K(z,u * (z / w)) | x * K(z,u * (w \ z)) = y. x * K(x,y * (z \ x)) = T(x,y * (x / z)). (x * K(y,z * (u \ y))) \ x = K(z * (y / u),y). T(x,y * (z \ x)) = T(x,y * (x / z)). T(x,y * (x / z)) = T(x,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 \ T(z,z \ x)) = K(x,y \ z). K(x,y \ ((z \ x) \ x)) = K(x,y \ z). K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,L(z,((y \ x) \ x) \ 1,(y \ x) \ x) \ y). K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). x \ y != T((K(z,u) * w) * K(u * z,w),u * z) | x * (K(z,u) * w) = y. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). x != y / L(K(z,u),w,v5) | y * L(K(u,z),w,v5) = x. x * L(K(y,z),u,w) = T(L(K(y,z),u,w) * x,K(z,L(y,u,w))). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ z,x) = L(T(x,y),x \ (K(u,x) * z),x). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). L(T(x,y),T(z,x),x) != u | L(T(x,y),z,x) = u. L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). K(x,(y * z) \ u) = K(x,(y * T(z,x \ 1)) \ u). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). x != K(y,(z * (y \ 1)) \ (y \ u)) | K(y,z \ u) = x. K(x,y \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ 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). 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). L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). x != K(y,T(z,L(z,u,w) * (z \ v5))) | K(y,T(z,L(z,u,w) * v5)) = x. K(x,T(y,L(y,z,u) * w)) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). x != y * R(y \ T(z,y),u,w) | T(y * R(y \ z,u,w),y) = x. T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. ((1 / x) * (K(y,z) * x)) * u = ((1 / x) * (K(z,y) * x)) \ u. ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. T(x * R(y,z,u),x) = R(y * a(x,y,x),z,u) * x. R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). L(x,y,z) * (u * K(w,T(x,u))) = L(K(w,x),u,L(x,y,z)) * (L(x,y,z) * u). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z)) = K(x * y,T(x,z * y)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). K(x * y,T(x,z)) != u | K(T(x,w) * y,T(x,z)) = u. K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z / y)) != u | K(x,T(y \ x,y \ z)) = u. K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). K(x,T(y \ x,y \ z)) != u | K(x,(z / (z / y)) \ x) = u. K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). K(x,((x * y) / z) \ x) != u | K(x,z / y) = u. K(x,((x * y) / z) / y) = K(x,T(z \ x,x * y)). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). K(x,y / R(T(x,z),u,w)) != v5 | K(x,R(x,u,w) \ y) = v5. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). x != L(K(y,z),u,w) \ v5 | L(K(z,y),u,w) * v5 = x. L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). (x * y) \ ((T(x,z) * y) * x) != u | T(x,T(z,y)) = u. T(x,T(y \ (z * x),u)) = T(x,T((z \ y) \ x,u)). T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). x != R(y,z,u) * (y \ K(w,T(y,v5))) | T(y,T(w,v5)) \ R(y,z,u) = x. T(x,T(y,z)) \ R(x,u,w) = (x \ R(x,u,w)) * T(K(y,x),z). (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). (x \ R(x,y,x)) * T(K(y,x),z) != u | K(y * x,x) * K(y,K(x,z)) = u. K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). T(x,T(y,z)) \ R(x,y,x) != u | K(y * x,T(x,z)) = u. K(x * y,T(y,z)) = K(x,T(y,z)) * a(y,x,y). K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). x != (y * z) * K(u,w * w) | y * (z * K(u,w * w)) = x. T(x,y) * (z * K(u,w * w)) = z * (T(T(x,z),y) * K(u,w * w)). x * (T(T(y,x),z) * K(u,w * w)) = T(y,z) * (x * K(u,w * w)). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. x * L(K(y,z),u,w) = (x * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). x * (y / z) != R(T(y / z,K(z,y)),u,y / z) | a(y / z,u,y / z) = x. a(x / y,z,x / y) = a(y \ x,z,y \ x). (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. a(T(T(x,y),x \ z),u,T((x \ z) \ z,y)) != w | a(x,u,x) = w. x != K(y,(z / u) \ (y \ 1)) | K(y,u / (z * y)) = x. K(x,y / ((z \ y) * x)) = K(x,(z * (y / z)) / ((y / z) * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). K(x,(y * z) / (z * x)) != u | K(x,R(x \ y,x,z)) = u. K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). x != y * T(T(z,y),u) | T(z,u) * y = x. T(x,K(y,z)) * L(K(y,u),w,v5) = T(L(K(y,u),w,v5) * T(x,L(K(y,u),w,v5)),K(y,z)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). K(x,T((y \ z) \ x,u)) != w | K(x,T(z \ (y * x),u)) = w. K(x,T(1 \ ((y \ z) * x),z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x \ (y * K(z,u)),T(z,w)) != v5 | K(x \ y,T(z,w)) = v5. K(x \ (y * z),T(y,u)) = K(x \ (z * T(y,w)),T(y,u)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). K(x \ (y * T(z,u)),T(z,y)) != w | K((y * T(z,u)) / x,z) = w. K((x * T(y,z)) / u,y) = K(u \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). K(x / (y \ z),y) = K((x * T(y,u)) / z,y). K((x * T(y,z)) / u,y) = K(x / (y \ u),y). K((x * y) / z,x) = K(y / (x \ z),x). K((x * y) / z,x) != u | K((z / y) \ x,x) = u. K((x / y) \ z,z) = K(y / (z \ x),z). K(x / (y \ z),y) = K((z / x) \ y,y). K(x / (y \ z),y) != u | K(z \ (y * x),T(y,x)) = u. K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). K(x \ (y * z),T(y,u)) != w | K((z \ x) \ y,T(y,u)) = w. K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). K(x \ y,T(y,z)) = K(((z * x) / z) \ y,y). K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). K(((x * y) / x) \ z,z) != u | K(z * (y \ K(y,x)),z) = u. K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). x != T(y,z) * z | y * ((y * z) / y) = x. x * ((x * L(K(y,z),u,w)) / x) = (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)). (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). (x * K(y,z)) * R(K(u,y),w,v5) != v6 | R(K(u,T(y,x)),w,v5) * (x * K(y,z)) = v6. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). K(x,T(1 \ ((y \ z) * x),y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,y)) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). x \ y != K(z,T(u / (z \ w),v5)) | x * K(z,T((w / u) \ z,v5)) = y. x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. x != L(T(y,z),u,w) \ L(y,u,w) | K(z,L(y,u,w)) = x. K(x \ y,L(z,u,w)) = K(x \ ((z \ y) * z),L(z,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). 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)). T(x,a(y,z,K(x,u))) = x. K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). K(x,y) * 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) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). K(x,y) * L(K(z,x),u,w) != v5 | L(K(x,z),u,w) \ K(x,y) = v5. L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). x \ y != K(z,u) * L(K(u,z),w,v5) | x * a(v5,w,K(z,u)) = y. L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). K(1 / x,y) * K(y,1 / L(x,z,u)) = a(u,z,K(1 / x,y)). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). L(K(x,y),z,u) * K(y,w) != v5 | (u * z) \ ((u * (z * K(x,y))) * K(y,w)) = v5. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). K(L(x,y,z),u) * K(u,x) = a(z,y * x,K(u,x)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). x * a(y,z,K(u,w)) != K(u,w) | x = L(K(u,w),z,y). x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. (x * y) * a(z,u,K(y,w)) = (x * T(y,w)) * L(K(w,y),u,z). (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). x * K(y,z) != u * L(K(y,z),w,v5) | u / a(v5,w,K(y,z)) = x. x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). T(x * y,z) / a(x,y,K(x * y,z)) != u | x * (y * K(x * y,z)) = u. x * (y * K(x * y,z)) = T(x * y,z) * a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. L(K(x,y),z,u) * (K(y,w) * v5) != v6 | K(y,w) * (L(K(x,y),z,u) * v5) = v6. K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5. a(x,y,K(z,u)) * w = a(x,y,K(u,z)) \ w. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). x != a(y,z,K(u,w)) * K(v5,u) | K(v5,u) * a(y,z,K(u,w)) = x. K(x,y) * a(z,u,K(y,w)) = a(z,u,K(w,y)) \ K(x,y). a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. x != a(y / z,z,K(u,y)) | ((y / z) * (z * K(u,y))) \ ((u * y) / u) = x. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). K(1 / x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). x * (y * a(z,u,K(y,w))) = (x * y) * a(z,u,K(y,w)). (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). (x * (y * a(z,u,K(y,w)))) * v5 != (x * y) * a(z,u,K(y,w)) | 1 = v5. 1 = a(x,y,a(z,u,K(y,w))). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). x != K(L(y,z,u),z * y) | K(y,y * z) = x. K(x,x * y) = L(K(L(x,y,z),y * L(x,y,z)),y,z). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). K(x,K(y,a(z,x,T(u,x)))) = K((z * (u * x)) \ ((z * x) * u),K(x,y)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). K(x \ y,T(z,u)) = K(L(x,z,z \ 1) \ y,T(z,u)). K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K((y \ z) \ u,T(y,w)) | K(z \ (y * u),T(y,w)) = x. K(x \ (y * z),T(y,u)) = K(((y \ 1) * x) \ z,T(y,u)). K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(((x \ 1) * y) \ z,T(x,y)) != u | K(((x \ 1) \ z) / y,x) = u. K(((x \ 1) \ y) / z,x) = K(z \ (x * y),T(x,z)). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). x != K((y * z) / u,y) | K((u / z) \ y,y) = x. K((x / y) \ z,z) = K(((z \ 1) \ y) / x,z). K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). K(x / y,z) = K((y / ((z \ 1) * x)) \ z,z). K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). K(x \ y,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). K(x \ R(y \ 1,y,z),y \ 1) != u | K(z / (x * (y * z)),y \ 1) = u. K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). K(x / (y * (z * x)),z \ 1) != u | K(y \ ((z * x) \ x),z \ 1) = u. K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(L(L(y,z,u),w,v5),u) | K(L(y,w,v5),u) = x. K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) != w | K(z * ((x \ y) \ 1),T(y \ x,u)) = w. K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). x != K(y,T(z \ u,z)) | K(y,u / z) = x. K((x \ y) \ z,x / y) = K(z * ((x \ y) \ 1),T(y \ x,y)). K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). K(x * ((y \ z) \ 1),y / z) != u | K(((y \ z) \ 1) * x,y / z) = u. K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x * y != (z \ u) * (a(z,z \ u,z) * w) | x \ ((u / T(z,u)) * L(w,K(u,z),z \ u)) = y. ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). K(x,T(y / ((z * T(x,u)) * w),v5)) != v6 | K(x,T(y / ((z * x) * w),v5)) = v6. K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). K(x,T(y / ((z * x) * u),z * u)) != w | K(x,((z * x) * u) \ y) = w. K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ u) = K(x,((x \ y) * z) \ (x \ u)). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). K(x,((y * x) * (y \ 1)) \ (x * z)) != u | K(x,a(x,y,y \ 1) \ z) = u. K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). K(x,a(x,y,y \ 1) \ z) = K(x,z). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) != u | K(x,z \ x) = u. K(x,y \ x) = K(x,y \ R(x,z,z \ 1)). K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y * z) \ ((T(u * y,u) / u) * z) | R(a(u,y,u),y,z) = x. R(a(x,y,x),y,z) = L(a(x,T(y,z),x),T(y,z),z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). K(x \ (y * z),L(y,u,w)) = K((y \ x) \ z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). K(x \ (y \ z),L(y,u,w)) = K((x * y) \ z,L(y,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). x != L(y,z,u) / L(y * K(w,y),z,u) | K(L(y,z,u),w) = x. K(L(x,y,z),u * w) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). K(x * y,R(z,u,w)) = K(x * (K(z,v5) * y),R(z,u,w)). K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). K(x * y,R(x,z,u)) = K(y * x,R(x,z,u)). K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). L(K(x,T(T(y,z),u * z)),z,u) != w | (u * (K(x,y) * z)) / (u * z) = w. (x * (K(y,z) * u)) / (x * u) = (x * u) / (x * (K(z,y) * u)). L(K(x,T(T(y,z),u * z)),z,u) != w | K(x,(u * z) / (u * (y \ z))) = w. K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). x != K(y,z) * K(y * z,y) | a(y,z,y) = x. a(x,y,x) = L(a(x,y,x),K(x,x * y),z). L(a(x,y,x),K(x,x * y),z) = a(x,y,x). x / a(y,z,y) = (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). x != y / a(z,u,z) | a(z,u,z) \ y = x. a(x,y,x) \ z = (z / (K(x,x * y) * a(x,y,x))) * K(x,x * y). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. (x / R(y,z,y)) * y = a(y,z,y) \ x. (x / R(y,z,y)) * y != u | x * (y \ L(y,z,y)) = u. x * (y \ L(y,z,y)) = a(y,z,y) \ x. x * y != z \ (z * (u * y)) | u = x. x = (a(y,z,y) * (x * y)) / R(y,z,y). (a(x,y,x) * (z * x)) / R(x,y,x) = z. x != a(y,z,y) \ u | u / a(y,z,y) = x. x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). a(x,y,x) \ K(x,z) != u | x \ L(T(x,z),y,x) = u. x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). (x * R(y,z,y)) / (x * y) = a(y,z,y). x / (y \ L(y,z,y)) = x * a(y,z,y). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. (x * y) * a(y,z,y) = x * R(y,z,y). x * y != a(z,u,z) * (w * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). (x * R(y,z,y)) / (x * y) != u | u = a(y,z,y). (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x / (a(y,z,y) \ 1) = x * a(y,z,y). x * a(y,z,y) = (x / y) * R(y,z,y). (x / y) * R(y,z,y) = x * a(y,z,y). (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). R(x,a(y,z,y),a(y,z,y) \ 1) = x. R(x,a(y,z,y),y \ L(y,z,y)) = x. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. (x / y) * R(y,z,y) != u | R(y,z,y) * (y \ x) = u. R(x,y,x) * (x \ z) = z * a(x,y,x). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). x \ y = (R(x,z,x) \ y) * a(x,z,x). (R(x,y,x) \ z) * a(x,y,x) = x \ z. R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. a(x,y,x) * (x * z) = R(x,y,x) * z. ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. x != L(T(y,z),u,T(y,w)) | L(T(y,z),u,y) = x. L(T(x,y),z,x) = (y * R(x,z,x)) \ ((x * y) * x). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). x \ y != T(a(z,u,w),z) | x * a(z,u,w) = y. x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) != u | 1 / (z * K(y,x)) = u. 1 / (x * K(y,z)) = (K(z,y) / x) * a(K(z,y) / x,x,K(y,z)). (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). K(x,R(y,z,u)) * ((y * z) * u) != w | (y * (K(x,y) * z)) * u = w. (x * (K(y,x) * y)) * z = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. (K(x,y) * z) * T(y * x,z) != u | (y * x) * (K(x,y) * z) = u. (x * y) * (K(y,x) * z) = (y * x) * z. x * y != (K(z,u) * w) * T(u * z,w) | x \ ((z * u) * w) = y. (x * y) \ ((y * x) * z) = K(y,x) * z. x * (K(y \ x,y) * z) = ((y \ x) * y) * z. (x * (y / x)) \ z = K(y / x,x) * (y \ z). K(x / y,y) * (x \ z) = (y * (x / y)) \ z. (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). x \ y != K(z,u) * ((z * u) \ w) | x * ((u * z) \ w) = y. T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. (K(x,y) * (((x * y) \ z) * (u * u))) * w = ((y * x) \ z) * ((u * u) * w). ((x * y) \ z) * x = K(y,x) * (((y * x) \ z) * x). K(x,y) * (((x * y) \ z) * y) = ((y * x) \ z) * y. K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. (x \ y) * (x * R(x \ ((x \ y) \ z),u,w)) = y * (K(x \ y,x) * R(((x \ y) * x) \ z,u,w)). x * (K(y \ x,y) * R(((y \ x) * y) \ z,u,w)) = (y \ x) * (y * R(y \ ((y \ x) \ z),u,w)). K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). x \ y != K(z,u) * (((z * u) \ w) * u) | x * (((u * z) \ w) * u) = y. x * (((y * x) \ z) * y) = T(x,y) * (((x * y) \ z) * y). T(x,y) * (((x * y) \ z) * y) = x * (((y * x) \ z) * y). K(x,y * ((z * K(x,u)) \ w)) = K(x,y * ((K(x,u) * z) \ w)). K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). (K(x,y * y) * (((y * y) \ (x \ z)) * (u * u))) * w = (((y * y) * x) \ z) * ((u * u) * w). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. x * y != R(T(z,u),w,R(T(z,u),v5,v6)) | x \ R(T(z,u),T(w,z),R(T(z,u),v5,v6)) = y. T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). K(x,y) * a(x,z,R(x,u,w)) = x \ R(T(x,y),z,R(x,u,w)). x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) != v6 | x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)) = v6. x \ (y \ ((R(x,z,R(x,u,w)) * (x \ y)) * x)) = a(x,K(x,v5) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a((x \ y) \ y,z,(x \ y) \ y) != u | a(x,z,x) = u. x != y * (z * K(u,T(w,z))) | y * (K(u,w) * z) = x. L(x,y,z) * (K(u,x) * w) = L(K(u,x),w,L(x,y,z)) * (L(x,y,z) * w). L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). K(x,y) * (L(y,z,u) * w) = L(y,z,u) * (K(x,y) * w). L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). L(x,y,z) * T(u,K(x,w)) = K(w,x) * (L(x,y,z) * (u * K(x,w))). K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). K(x,y) * (L(y,z,u) * (w * K(y,x))) != v5 | T(L(y,z,u) * w,K(x,y)) = v5. T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). K(x,K(y,z)) * K(y,K(z,1 / L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). K(x,K(y,z)) * K(y,K(z,L(x,u,w))) = a(w,u,K(1 / x,K(y,z))). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(1 / y,K(x,z))). K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) != w | a(R(x,z,u),y,x) = w. a(R(x,y,z),u,x) = a(T(x,u),T(u,x),R(T(x,u),y,z)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). x != y \ R(y,z,R(y,u,w)) | a(y,z,R(y,u,w)) = x. a(x,y,R(x,z,u)) = a(T(x,w),y,R(x,z,u)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). a(x,y,R(x,z,u)) = a(x,T(y,x),R(x,z,u)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) != v5 | a(x,x \ z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(x,T(x,w) \ y,R(x,z,u)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. K(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | K(z,K(v5,L(y,u,w))) = x. K(x,K(y \ z,L(u,w,v5))) = K(L(K(u,x),w,v5),y \ (z / u)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | a(z,y,R(z,u,w)) = x. a(x,y,R(x,z,u)) = a(x,T(y,R(x,w,v5)),R(x,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | K(y,R(y,u,w) \ z) = x. K(x,R(x,y,z) \ u) = a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). x != L(y,T(1 / z,u) \ w,v5) | L(y,T(z \ 1,u) \ w,v5) = x. L(x,T(y \ 1,z) \ 1,x) = T(x,T(y * x,z)) * K(y,T(x,z)). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). T(x,T(y * x,z)) * K(y,T(x,z)) != u | L(x,y,x) = u. L(x,y,x) = L(x,T(y \ 1,z) \ 1,x). L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). L(x,T((y \ 1) \ 1,z) \ u,w) != v5 | L(x,T(y,z) \ u,w) = v5. L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). L(x,(y \ z) \ 1,x) = L(x,(z / y) \ 1,x). L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). K(x,L(L(y,z,K(u,x)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,L(y,K(z,x) * u,w)) = K(x,(w * (K(z,x) * u)) \ (w * (u * y))). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). K(x,(y * (K(z,x) * u)) \ w) != v5 | K(x,(y * u) \ w) = v5. K(x,(y * z) \ (y * (z * u))) = K(x,L(u,K(w,x) * z,y)). K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). K(x,L(y,z,u)) = K(x,L(y,K(x,w) * z,u)). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | K(z,y) = x. K(L(x,y,z),u) = K(L(x,K(u,w) * y,z),u). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) = L(x,y,x) \ L(L(x,y,x),z,u). a(x,y,x) \ (x * L(x \ a(x,y,x),z,u)) != w | L(x \ L(x,z,u),y,x) = 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). (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,y \ T(y * L(y \ z,u,w),x)). x != K(y,z \ T(z * u,y)) | K(y,u) = x. K(x,L(y \ z,u,w)) = K(x,L(L(x \ (y \ (z * x)),u,w),x,y)). K(x,L(L(x \ (y \ (z * x)),u,w),x,y)) = K(x,L(y \ z,u,w)). K(x,L((y * x) \ (z * x),u,w)) = K(x,L(y \ z,u,w)). K(x,L(y \ (z * x),u,w)) = K(x,L((y / x) \ z,u,w)). K(x,L((y / x) \ z,u,w)) = K(x,L(y \ (z * x),u,w)). K(x,L(y,z,u)) = K(x,L(w \ (((w / x) * y) * x),z,u)). K(x,L(y \ (((y / x) * z) * x),u,w)) = K(x,L(z,u,w)). L(K(x,y \ (((y / x) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). L(K(x,y \ (((x \ y) * z) * x)),((y / x) * z) * x,u) = K(x,L(z,y,u)). L(K(x,y),((z / x) * y) * x,u) = K(x,L(y,z,u)). K(L(x,(y / x) * z,u),z) = K(x,L(z,y,u)). K(x,y * ((z * y) \ z)) != u | 1 = u. 1 = K(x,L(y * ((z * y) \ z),u,w)). K(x,L(y * ((z * y) \ z),u,w)) = 1. K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). K(x,L(y * ((z * y) \ z),y \ 1,z * y)) != u | K(x,a(z,y,y \ 1) \ 1) = u. K(x,a(y,z,z \ 1) \ 1) = 1. K(x,(T(y,z) \ u) \ K(z,y)) != w | K(x,u \ y) = w. K(x,y \ L(x,z,u)) = K(x,(T(L(x,z,u),w) \ y) \ 1). K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | K(y,L(z,w,v5)) = x. K(x,L(y,x * z,u)) = K(L(x,z * y,u),y). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(L(x,T(y,z),u),z) != w | K(L(x,y,u),z) = w. K(L(x,y * (x \ z),u),y) = K(x,L(R(y,x \ z,y),z,u)). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). K((x * y) \ (z \ u),L(z,w,v5)) = K((x * (y * z)) \ u,L(z,w,v5)). K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). L(K(L(x,y,z) \ u,L(x,w,v5)),u,z * y) = K((z * y) \ (x \ ((z * y) * u)),L(x,w,v5)). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ L(z,u,w),z). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = L(K(u,z),L(u,w,v5),v6). L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). x != (((y \ z) \ z) * K(u,w)) \ T(y,y \ z) | K(w,u) = x. K(x,y) = L(K(x,y),L(x,z,u),w). L(K(x,y),L(x,z,u),w) = K(x,y). L(K(x,(y \ z) \ u),u,y) != w | K(x,z \ (y * u)) = w. K(x,y \ (z * L(x,u,w))) = K(x,(z \ y) \ L(x,u,w)). K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | K(y,L(u,y,z)) = x. K(x,L(y,x,z)) = L(K(x,y),T(z,y * x),y * x). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x * (y * z) = (z * y) * T(x * K(y,z),z * y). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). x / (y * z) = (x / (z * y)) * K(z,y). (x / (y * z)) * K(y,z) = x / (z * y). ((x * y) * z) / (z * y) = R(x,y,z) * K(y,z). (x / y) * K(y / z,z) = x / (z * (y / z)). (x / y) * K(y / x,z) != u | 1 / ((z * ((x / y) \ 1)) / z) = u. 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1. ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x != K(y,T(z / u,u / z)) | K(y,z / u) = x. K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). K((x / y) \ z,y / x) = K(((x / y) \ 1) * z,y / x). K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). x != K((y / z) \ u,z / y) | K((z \ y) \ u,z / y) = x. K((x \ y) \ z,x / y) = K(((y / x) \ 1) * z,x / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((((y \ x) \ x) \ 1) * z) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). x != K(y,T(z,L(z,u,w) \ v5)) | K(y,T(z,v5)) = x. K(x \ (L(y,z,u) * w),T(y,x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). K((L(x,y,z) * u) / w,x) = K((((L(x,y,z) \ w) \ u) \ u) \ u,x). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). x != K(y,T(y * K(z,u),z)) | K(y,y * K(z,u)) = x. K(x,x * K(y,z)) = K(z,T(x / y,x) \ x) * K(y,z). K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). K(x,T(y / z,y) \ y) * K(z,x) != u | K(y * K(x,z),y) = u. K(x * K(y,z),x) = K(x,x * K(z,y)). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(x,x * K(y,z)) = R(T(x,K(y,z)),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). (x / (1 / y)) * (1 / T(y,x)) = (T(x,y) / (1 / y)) * (1 / y). (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). T(x,y) / (1 / T(y,x)) = x / (1 / y). T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x \ y != z \ (z / ((u / z) \ 1)) | x * ((z / ((z \ u) \ 1)) / z) = y. x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). (K(x,y * y) * T(x \ z,y * y)) * u = (((y * y) * x) \ z) * ((y * y) * u). T(K(x,y * y) * (x \ z),y * y) * u = (((y * y) * x) \ z) * ((y * y) * u). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * (y \ u)) \ (y \ w)) | K(y,(z * u) \ w) = x. 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 \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (z / x)) \ 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,((x \ y) * z) \ u) = K(x,((z * K(x \ y,z)) * y) \ (u * x)). K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). 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)). K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. K(x,T(y \ 1,z * (u / x))) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). 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,T((y / z) \ 1,z)) != u | K(x,(z \ y) \ 1) = u. K(x,((y * z) \ u) \ 1) = K(x,u \ ((y * (x \ z)) * x)). K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). x != K(y,(z \ u) \ 1) | K(y,u \ z) = 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,y \ (((x \ y) * z) * x)) != u | K(x,z) = u. K(x,x \ y) = K(x,z \ ((x \ z) * y)). K(x,y \ ((x \ y) * z)) = K(x,x \ z). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). T(x,K(y,z * (y \ u))) = T(x,K(y,z * u)). K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. L(K(x,x \ y),y,x \ z) = K(x,x \ y). L(K(x,x \ y),y,z) = K(x,x \ y). K(x,(y * x) \ z) = K(x,x \ (y \ z)). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). x * L(K(y,y \ z),z,u) != K(y,y \ z) | 1 = x. 1 = a(x,y,K(z,z \ y)). a(x,y,K(z,z \ y)) = 1. K(x,x \ y) * z != L(K(x,x \ y),y,u) | 1 = z. 1 = a(x,y,K(z \ y,z)). a(x,y,K(z \ y,z)) = 1. a(x,y * z,K(y,z)) = 1. L(K(x \ y,x),y,z) = K(x \ y,x). L(K(x,y),x * y,z) = K(x,y). K(x,L(y,x,z)) = K(x,y). K(L(x,y,z),y) = K(x,y). K(x,L(y,x,((y * x) * z) / (y * x))) != u | L(K(x,y),z,y * x) = u. L(K(x,y),z,y * x) = K(x,y). x \ y != K(z,L(u,z,w)) | x * K(z,u) = y. (x * (y * z)) * K(z,y) = x * (z * y). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). K(x \ (y * z),y \ x) = K((y \ x) \ z,y \ x). K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). K(x,y) * L(x,y,z) = L(T(x,y),y,z). T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). x != K(y,z) | K(y,L(z,y,u)) = x. K(x,L(y,x,z)) = L(K(x,y),u,y * x). L(K(x,y),z,y * x) = K(x,L(y,x,u)). L(K(x,y),z,y * x) != u | K(x,R(y,x,z)) = u. K(x,R(y,x,z)) = K(x,y). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). K(x,R(x \ (y / z),x,y / (y / z))) != u | K(x,y / (z * x)) = u. K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. R(K(x \ y,x),y,z) = K(x \ y,x). x \ y != K(z,R(u,z,w)) | x * K(z,u) = y. x * K(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = x * K(x,y). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). T(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = T(x,y). T(x,L(x \ y,x,z)) != u | T(x,z \ (x \ (z * y))) = u. T(x,y \ (x \ (y * z))) = T(x,x \ z). x \ y != T(z,L(u,z,w)) | x * T(z,u) = y. L(x,y,z) * T(y,x) = y * L(x,y,z). T(x \ y,y \ (x * z)) = T(x \ y,(x \ y) \ z). T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). T(x,y) = T(x,R(y,x,z)). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). K(x \ (y \ (x * z)),y) = K(y \ z,y). x \ y != L(K(z \ u,z),u,w) | x * K(z \ u,z) = y. (x * y) * K(z \ y,z) = x * ((z \ y) * z). K(x / (y * z),y) = K(y \ (x / z),y). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). (x * K(y,z)) / (y * z) = x / (z * y). x * y != (z * (u * w)) * K(w,u) | x \ (z * (w * u)) = y. ((x * (y * z)) / z) \ (x * (z * y)) = T(z,y). x * (y * z) != (u * (z * y)) * K(y,z) | R(u,z * y,K(y,z)) = x. R(x,y * z,K(z,y)) = x. (x * y) * K(z,y / z) = x * (z * (y / z)). ((x * y) * z) * K(z,y) = R(x,y,z) * (z * y). L(x,(y * (z * u)) * (K(u,z) \ 1),w) = L(x,y * (u * z),w). (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). K(x,y) * (z * (y * x)) = T(z * (x * y),K(x,y)). T(x * (y * z),K(y,z)) = K(y,z) * (x * (z * y)). R(x,y,T(z,y)) = R(x,y,z). R(x,y,K(z \ y,z)) = x. R(R(x,y / z,z),y,K(z \ y,z)) != u | R(x,z \ y,z) = u. R(x,y \ z,y) = R(x,z / y,y). R(x,y / z,z) = R(x,z \ y,z). R(x / y,y,T(z,y)) != u | (x * T(z,y)) / (z * y) = u. (x * T(y,z)) / (y * z) = R(x / z,z,y). R(x,y,R(T(z,y),u,w)) = R(x,y,R(z,u,w)). R(x,y,z) * (z * y) = (x * y) * T(z,y). R(x,y,T(z,y * z)) = R(x,y,L(z,y,z)). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). R(K(x,(y / (z / u)) \ x),z / u,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ z) * u)) = R(K(x,(z / (y / u)) \ x),u \ y,u). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). R(K(x,(y / z) / u),y / z,z) != w | K(x,y / (u * z)) = w. K(x,y / (z * u)) = R(K(x,(y / u) / z),u \ y,u). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). R(x,y \ z,y) * z = (x * (z / y)) * y. K(x,L(y,x,z)) != u | u = K(x,y). K(x,L(y,x,z)) != u | K(x,y) = u. L(K(x \ y,x),y,z) != u | K(x \ y,x) = u. K(x,y / (x * z)) = K(x,x \ (y / z)). K(x,(x * y) / (z * x)) != 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 * u) * x)) != w | K(x,y / ((z * x) * u)) = w. K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). (x * (y * T(z,z \ u))) \ (x * (y * z)) = K(w \ (z \ (w * u)),L(z,y,x)). K(x \ (y \ (x * z)),L(y,u,w)) = (w * (u * T(y,y \ z))) \ (w * (u * y)). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). K(x \ (y \ z),y) = K(y \ (x \ z),y). K(x / (y * z),y) != u | K((y \ x) / z,y) = u. K((x \ y) / z,x) = K(x \ (y / z),x). T(x / (y * z),z * y) != u | (z * y) \ (x * K(z,y)) = u. x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). K(x \ y,z) = K(z \ ((z \ x) \ y),z). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). (x * R(y,z,y)) / (x * y) = R(R(y,z,y) / y,y,x). R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). x * (T(K(y,z),u) * T(y,w)) = (x * T(y,w)) * T(T(K(y,z),u),T(y,w)). (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (T(K(y,u),w) * T(y,z)). R(x,y,T(z,y * z)) != u | R(x,y,z) = u. R(x,y,z) = R(x,y,L(z,y,z)). R(x,y,L(z,y,z)) = R(x,y,z). x != R(L(y,z,y),z,y) | y = x. x = R(L(x,y,x),y,L(x,y,x)). R(L(x,y,x),y,L(x,y,x)) = x. T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) != w | K(R(x,z,u) * y,x) * K(x,y) = w. K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). (x * y) * K(z,z \ y) = x * (z * (y / z)). x != R(y,z,R(y,u,w)) | T(y * K(R(y,u,w) * z,y),z) = x. T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). (x * (y * z)) * K(y,y \ (y * z)) = x * (T(y,z) * z). L(x,T(y,x),z) = L(x,y,z). L(x,y / x,z) = L(x,x \ y,z). L(x,(y \ z) / x,y) != u | (y * ((y \ z) / x)) \ z = u. (x * ((x \ y) / z)) \ y = L(z,z \ (x \ y),x). L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. (x * y) / L(z,z \ y,x) = x * (y / z). K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. K(x * (y \ z),y) = K(y \ (x * z),y). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). K((x \ y) \ T(z,x),x \ y) = K(y \ (z * x),x \ y). x != (y * z) * (K(z,y) * u) | (z * y) * u = x. (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. L(x,y * z,K(z,y)) = x. K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). (x * y) \ (K(x,y) * z) = (y * x) \ z. K(x,y) * z = (x * y) * ((y * x) \ z). (x * y) * ((y * x) \ z) = K(x,y) * z. x != (y * z) * (z \ 1) | R(y,z,z \ 1) = x. R(x,y,y \ 1) = K(x,y) * ((y * x) * (y \ 1)). K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). K(x,y) * ((y * x) * z) != u | u = (x * y) * z. K(x,y) * ((y * x) * z) != u | (x * y) * z = u. ((x * y) * z) * K(y,x) != u | T((y * x) * z,K(x,y)) = u. L(x,T(y,z),z) = L(x,y,z). L(x,y,z * K(y,z)) = L(x,y,z). L(x,y,T(z,y)) = L(x,y,z). L(L(x,y,z),z * y,K(y,z)) != u | (y * z) \ (z * (T(y,z) * x)) = u. (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). x \ y != L(z,u * w,K(w,u)) | x * z = y. (x * y) * L(z,x,y) = y * (T(x,y) * z). L(x,y,K(z \ y,z)) = x. L(x,T(y,z) * z,K(z,y)) = x. L(x,y,K(z \ 1,y * z)) = x. 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((1 / T(x,y)) \ z,T(x,y),y) != u | (T(y,x) * (1 / x)) \ (y * z) = u. (T(x,y) * (1 / y)) \ (x * z) = L((1 / T(y,x)) \ z,y,x). L(x,y / z,z) = L(x,z \ y,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) \ z,y \ z) = L(x,y,y \ z). x * (T(y,x) * T(z,y * x)) = L(z,y,x) * (y * x). L(x,y \ z,(y \ z) \ z) = L(x,y \ z,y). L(K(x,y) * (x \ z),x,T(y,x)) != u | (T(y,x) * x) \ (y * z) = u. (T(x,y) * y) \ (x * z) = L(K(y,x) * (y \ z),y,x). L(K(x,y) * (x \ z),x,y) = (T(y,x) * x) \ (y * z). L(x,y,z / y) = L(x,y,y \ z). L(x,y,T(z,y)) != u | L(x,y,z) = u. T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). L(x,y \ z,y / (z / y)) = L(x,y \ z,(y \ z) \ (z / (z / y))). L(x,y \ z,(y \ z) \ (z / (z / y))) = L(x,y \ z,y / (z / y)). L(x \ y,z,y / x) != u | L(x \ y,z,x \ y) = u. L(x,T(y,z),z) != u | L(x,y,z) = u. x \ (K(y,y \ x) * z) = ((y \ x) * y) \ z. x \ y != L(z,K(u,w),v5) | x * L(z,K(w,u),v5) = y. (K(x,y) * z) * L(u,K(y,x),z) = z * (T(K(x,y),z) * u). (x * y) * L(L(z,x,y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * L(z,x,y) != u | u = y * (T(x,y) * z). (x * y) * L(z,x,y) != u | y * (T(x,y) * z) = u. L(K(x,y) * z,y,x) = (y * x) \ (x * (y * z)). (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). L(x,y,z / y) != u | L(x,y,y \ z) = u. L(T(x,y / x) \ z,x,x \ y) = (x * (y / x)) \ ((y / x) * z). L(T(x,(y * y) \ 1) \ z,x,(y * y) \ 1) = (x * ((y * y) \ 1)) \ ((y * y) \ z). L(x,(y * z) \ (z * L(T(y,z),u,w)),v5) = L(x,L(T(y,z) * L(T(y,z),u,w),y,z),v5). L(x,L(T(y,z) * L(T(y,z),u,w),y,z),v5) = L(x,(y * z) \ (z * L(T(y,z),u,w)),v5). L(T(x \ L(x,y,z),u),x,u) = (x * u) \ (u * L(T(x,u),y,z)). K(x,L(T(y,1 / z) \ u,y,1 / z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). x \ ((y \ x) * z) = L(((y \ x) \ x) \ z,y,y \ x). L(((x \ y) \ y) \ z,x,x \ y) = y \ ((x \ y) * z). x \ (((y \ x) * (K(y,y \ x) * z)) * y) = ((y \ x) * y) \ (((y \ x) * z) * y). K(x,y \ R(x,z,z \ 1)) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). K(x * y,z) * ((z * x) * y) != u | ((x * y) * z) * a(z,x,y) = u. K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). K(x,L(y,z \ u,z)) = K(x,L(y,u / z,z)). K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). K(x,(y * z) \ (z * u)) = K(x,L(T(y,z) \ u,y,z)). K(x,L(T(y,z) \ u,y,z)) = K(x,(y * z) \ (z * u)). T(x \ y,(x \ y) \ z) != u | T(x \ y,z / (y / x)) = u. T(x \ y,z / (y / x)) = T(x \ y,y \ (x * z)). K(x,y / (((x \ z) * x) * u)) != w | K(x,y / (z * u)) = w. K(x,y / (z * u)) = K(x,x \ (y / ((x \ z) * u))). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). K(x \ (y / z),T(x,z)) != u | K(x \ (y / z),T(x,y)) = u. K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). (x * K(y \ (z \ u),z)) \ x = K(T(z,u),z \ (u / y)). K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. x * y != K(z,u) * (w * (u * z)) | x \ T(w * (z * u),K(z,u)) = y. (x * y) \ T(z * (x * y),K(x,y)) = T(z,y * x). T(x / (y / z),T(z \ y,y \ (z * x))) = T((y / z) \ x,K(y,z)). 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)). (x * y) \ T(z * (x * y),K(x,y)) != u | T(z,T(x * y,y)) = u. T(x,T(y * z,z)) = T(x,z * y). T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. K(x,y * z) * T(x,z) = T(T(x,z),z * y). T(x,T(y,z)) = T(x,z * (y / z)). T(x,y * (z / y)) = T(x,T(z,y)). T(x,T((y * y) \ z,u)) = T(x,u * ((y * y) \ (z / u))). T(x,y * ((z * z) \ (u / y))) = T(x,T((z * z) \ u,y)). K(x,T(T(y,K(z,u)),u * (u \ z))) = K(x,T(y,(u \ z) * u)). x * T(y,z) != T(T(y,z),u) | K(y,T(u,z)) = x. K(x,T(y * z,y)) = K(x,z * y). K(x / y,y * z) = K(y \ x,z * y). K(x,y * z) = K(T(x,y),z * y). K(T(x,y),z * y) = K(x,y * z). K(x \ y,x * z) = K(y / x,z * x). K(x / y,z * y) = K(y \ x,y * z). K(x,T(y * z,y)) != u | K(x,T(y * z,z)) = u. K(x,T(y * z,z)) = K(x,z * y). x \ y != K(z,T(u * w,u)) | x * K(z,w * u) = y. x * K(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = x * 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 * u),y * z)) = K(x,L(u,z,y) * (y * z)). K(x,y * z) * ((z * y) \ u) = T(z * y,T(x,z)) \ u. K(x,y * z) * z = z * K(x,z * y). K(x,y * (z \ 1)) != u | K(x,T((z \ 1) * y,z)) = u. K(x,T(y * (z \ x),z)) = K(x,(z \ x) * 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) * u,z * u)) = K(x,(z * u) * R(y,z,u)). K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x,y / (T(z,y) \ 1)) = K(x,T(y / (z \ 1),z)). K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). T(x,T(y * z,y)) != u | T(x,z * y) = u. T(T(x,K(y,z)),z * y) = T(x,y * z). T(x,T(y,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = T(x,T(z,y)). K(T(x * y,x) / z,T(u,y * x)) != w | K(z \ T(x * y,x),u) = w. T(x,y * z) != u | T(T(x,K(y,z)),z * y) = u. x != T(y,T(z,u)) | y / K(z,T(y,u)) = x. x / K(y,T(x,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = x / K(z,T(x,y)). T(x,(x \ y) * x) != z | T(x,y) = z. T(x,T(y * x,z)) != u | T(x,T(x * y,z)) = u. T((x * y) \ z,K(y,x)) = T(z / (x * y),y * x). T(x / (y * z),z * y) = T((y * z) \ x,K(z,y)). T(T(x,K(y,z)),y * z) = T(x,z * y). T(T(x,K(y,z)),(z \ 1) * y) = T(x,y * (z \ 1)). T(T(x,K(y,z)),y * (z \ 1)) = T(x,(z \ 1) * y). x / y != T(x,z) | K(z,x) = y. K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,z) = K(y * x,T(z,y)). K(x * y,T(z,x)) = K(y * x,z). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K(x * y,z) = K(y * x,T(z,x)). K(x * y,T(z,y)) = K(y * x,z). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x * y,z) * y = y * K(y * x,z). K(x * y,T(z,y)) != u | K(y * x,z) = u. K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). K(x * ((x \ 1) \ (y * z)),T(u,z)) = K(z * (x * ((x \ 1) \ y)),u). T(x * y,T(z,y)) = K(y * x,z) * (x * y). K(x * y,z) * (y * x) = T(y * x,T(z,x)). x / ((y * z) * K(u,T(y * z,z))) = (x / (y * z)) * K(z * y,u). K(x * y,T(z,x)) != u | K(y * x,z) = u. K((x * y) * T(z,y),T(u,z * y)) = K((z * y) * R(x,y,z),u). K(T(x,y) * y,z) = K(x * y,T(z,x)). K(x * T(y / x,z),u) = K(y * K((y \ x) \ 1,z),T(u,x)). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). 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). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K((x * x) * (y * z),T(u,z)) != w | K(z * ((x * x) * y),u) = w. K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. K((x * y) * T(z,y),T(u,z * y)) != w | K((z * y) * R(x,y,z),u) = w. K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. K(T(x,y) * y,z) != u | K(y * x,z) = u. K(L(T(x,y),z,u) * y,w) != v5 | K(y * L(x,z,u),w) = v5. K(x,T(T(y * z,y),u)) = K(x,T(z * y,u)). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,T(y * (z * u),y * z)) != w | K(x,L(u,z,y) * (y * z)) = w. K(x,(y \ 1) \ (z * y)) != u | K(x,((y \ 1) \ z) * y) = u. K(x,y * ((y * z) / y)) != u | K(x,z * y) = u. K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). T(T(x,K(y,z)),y * z) != u | T(x,z * y) = u. T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. K(x,y * z) != u | K(x,T(z,y) * y) = u. K(x,T(y,z) * z) != u | K(x,z * y) = u. K(x,T(y,z) * z) = K(x,z * y). K(x,T(y,z * (1 / u)) * (z * (u \ 1))) = K(x,(z * (1 / u)) * y). K(x,y * ((1 / z) \ u)) != w | K(x,y * ((z \ 1) \ u)) = w. K(x,T(y,(1 / z) \ u) * ((z \ 1) \ u)) = K(x,((1 / z) \ u) * y). x \ y != K(z,T(u,w) * w) | x * K(z,w * u) = y. x * K(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = x * K(x,z * y). T(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = T(x,z * y). T(x,T(y,z) * z) != u | T(x,z * y) = u. x \ y != T(z,T(u,w) * w) | x * T(z,w * u) = y. (T(x,y) * y) * T(z,y * x) = z * (T(x,y) * y). T(x,T(y,z * u) * (u * z)) = T(x,(u * z) * T(y,K(z,u))). T(x,T(y,z * u) * (T(u,z) * z)) != w | T(x,(T(u,z) * z) * y) = w. K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. K(x,T(y / (z \ 1),z)) != u | K(x,(z \ 1) \ y) = u. K(x,(y \ 1) \ z) = K(x,z / (T(y,z) \ 1)). K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). T(T(x,K((y \ 1) \ z,y)),z) = T(x,((y \ 1) \ z) * (y \ 1)). T(T(x,K(y,z)),T(y,z) * (z \ 1)) = T(x,(z \ 1) * T(y,z)). (x * ((x * y) / x)) * T(z,y * x) = z * (T(x,y) * y). L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z,u)) = K(L(x,y,w),L(y,z,u)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). L(((x \ K(x,y)) \ K(x,y)) \ z,x,x \ K(x,y)) = K(x,y) \ ((((y * x) / y) \ 1) * z). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). R(x,R(y,z,u),z * u) != w | ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = w. ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). (x * (y * z)) * K(y,z) = x * (T(y,z) * z). K(x,y \ (x \ z)) = K(T(x,z),x \ (z / y)). K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). (x * y) \ (z * K(x,y)) = T((y * x) \ z,K(x,y)). T((x * y) \ z,K(y,x)) = (y * x) \ (z * K(y,x)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). L(R(x,y,R(T(x,y),z,u)),y,R(x,z,u)) = (R(x,z,u) * (x * y)) / (R(x,z,u) * y). T(x,T(x,y) * (1 / y)) = L((1 / T(y,x)) \ (T(x,y) * (1 / y)),y,x). L((1 / T(x,y)) \ (T(y,x) * (1 / x)),x,y) = T(y,T(y,x) * (1 / x)). (K(x,y) * z) * L(u,K(y,x),z) = z * (K(x,T(y,z)) * u). x != K(y,z \ R(y,u,u \ 1)) | K(y,z \ y) = x. K(x,y \ x) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). K(x,((y \ z) * u) \ (z * u)) != w | R(K(x,T(y,z * u)),z,u) = w. R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,T(T((y * z) * (u / (y * z)),y * z),z * (u / T(y * z,u)))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). L(x,(y * (z * u)) * K(z,u),w) = L(x,y * (u * z),w). L(x,y * (T(z,u) * u),w) = L(x,y * (u * z),w). L(x,y * ((z \ u) * z),w) = L(x,y * (z * (u / z)),w). K(x,T(T(y,K(z,u)),z)) = K(x,T(y,(u \ z) * u)). K(x,T(y,T(z,u))) = K(x,T(y,(u \ z) * u)). K(x,T(y,(z \ u) * z)) = K(x,T(y,T(u,z))). T(T(x,y),K(z,(z \ 1) \ y)) = T(x,((z \ 1) \ y) * (z \ 1)). T(T(x,K((y \ 1) \ (y \ z),y)),T((y \ 1) \ (y \ z),y) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,y))). x != T(y,(z \ u) * z) | T(y,T(u,z)) = x. T(x,T(y,z \ 1)) = T(T(x,y),K(z,(z \ 1) \ y)). T(T(x,y),K(z,(z \ 1) \ y)) = T(x,T(y,z \ 1)). T(T(x,y),K(z,(z \ 1) \ y)) != u | T(x,T(y,z)) = u. K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. K(R(x,y,z) * u,x) * K(x,u) != w | L(x,u,R(x,y,z)) \ x = w. L(x,y,R(x,z,u)) \ x = x \ R(x,y,R(T(x,y),z,u)). x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. L(T(x,x \ y) \ z,x,x \ y) = (x * (y / x)) \ ((y / x) * z). L(T(x \ L(x,y,z),u),x,u) = (x * u) \ (L(x,y,z) * u). L(T(x,y) \ z,x,y) != u | (x * y) \ (y * z) = u. (x * (x \ y)) \ ((x \ y) * z) = (x * (y / x)) \ ((y / x) * z). (x * (y / x)) \ ((y / x) * z) = (x * (x \ y)) \ ((x \ y) * z). x \ ((y \ x) * z) = (y * (x / y)) \ ((x / y) * z). (x * (y / x)) \ ((y / x) * z) = y \ ((x \ y) * z). K(x,x \ (y \ (x * z))) != u | K(x,y \ z) = u. K(x,(y \ 1) \ z) = K(x,z / T(y \ 1,y * (x * z))). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). L(x,y \ z,(z / y) \ y) = L(x,y \ z,y / (z / y)). L(x,y \ z,y / (z / y)) = L(x,y \ z,(z / y) \ y). R(x,y,z) * T(y * z,x) != u | ((y * z) * x) * a(x,y,z) = u. K(x * ((x \ 1) \ y),z) != u | K((x * x) * y,z) = u. K((x * x) * (y * z),T(u,z)) = K(z * (x * ((x \ 1) \ y)),u). K(x * ((y * y) * z),u) = K(x * (y * ((y \ 1) \ z)),u). K(x * (y * ((y \ 1) \ z)),u) = K(x * ((y * y) * z),u). x / ((y * z) * K(u,z * y)) = (x / (y * z)) * K(z * y,u). x != K(y / z,L(z,u,w)) | K(z \ y,L(z,u,w)) = x. K(x \ (x * (y \ z)),L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). K(x \ y,L(z,u,w)) = K(((x / z) \ y) / z,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). L(T(x,y \ 1),y,x) = T(x,T(x,y) * (1 / y)). T(x,T(x,y) * (1 / y)) = L(T(x,y \ 1),y,x). (x * T(y,z)) * T(K(y,u),w) = x * (T(K(y,u),w) * T(y,z)). K(x,y) * ((x \ z) * T(x,u)) = (x \ z) * (T(K(x,y),z) * T(x,u)). (x \ y) * (T(K(x,z),y) * T(x,u)) = K(x,z) * ((x \ y) * T(x,u)). (x \ y) * T(T(x,y),z) = K(x,z) * ((x \ y) * T(x,y)). K(x,y) * ((x \ z) * T(x,z)) = (x \ z) * T(T(x,z),y). K((T(x,y) / z) / (x / z),u) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)) = (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). K(x \ (y \ (x * z)),L(y,u,w)) != v5 | K(y \ z,L(y,u,w)) = v5. K(x,L(T(y,z \ 1) \ u,y,1 / z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). x != T(y,z / y) | T(y,y \ z) = x. T(R(x,y,z),R(x,y,z) \ u) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). K(x,L(T(y,z \ 1) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). T(x,L(x,y,z) \ u) = T(x,x \ u). x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. (x \ y) \ y = T(x,L(x,z,u) \ y). T(x,L(x,y,z) \ u) = (x \ u) \ u. (L(x,y,z) \ 1) \ T(x,x \ 1) = (1 / L(x,y,z)) \ x. x * T(y,L(y,z,u) \ w) != v5 | x * T(y,y \ w) = v5. x / L((y \ x) \ x,z,u) = L(y,z,u) \ x. x / L(y \ x,z,u) = L(x / y,z,u) \ x. (L(x,y,z) \ u) \ u = L((x \ u) \ u,y,z). L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. (L(x,y,z) \ u) \ u != w | L((x \ u) \ u,y,z) = w. (x \ (y * (x * z))) / L(z \ (x \ (y * (x * z))),z,x) = T((z * y) / z,x * z) \ (x \ (y * (x * z))). 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). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). R(T(x,x \ y),z,u) != w | R((x \ y) \ y,z,u) = w. R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). R(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). x != (y * z) \ (y * (u * z)) | L(T(u,z),z,y) = x. L(T(R(x,y,z),u),u,x) = R(T(x,R(x,y,z) * u),y,z). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | R(T(y,y * z),u,w) = x. R(T(x,x * y),z,u) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | K(z * y,R(y,u,w)) = x. K(x * y,R(y,z,u)) = K(x * R(y,z,u),R(y,z,u)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). x \ (((x / y) * z) * y) = ((y \ x) * y) \ (((y \ x) * z) * y). ((x \ y) * x) \ (((x \ y) * z) * x) = y \ (((y / x) * z) * x). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),x * u) = K(L(x,y,z),u * L(x,u,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). L(K(x,x * (y \ z)),y \ z,y) != u | K(x,y \ (z * x)) = u. K(x,y \ (z * x)) = K(x,x * (y \ z)). 1 / L(K(x,x * y),y,z) = K(x * y,x). K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. K(x,(y \ z) \ x) = K(x,x * (z \ y)). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). L(K(x * y,x),y,z) = K(x * y,x). x != K(y * z,y) | K(z * y,y) = x. K(x * y,y) = L(K(y * x,y),x,z). L(K(x * y,x),y,z) = K(y * x,x). L(K(x * (y \ z),x),y \ z,y) != u | K(y \ (z * x),x) = u. K(x \ (y * z),z) = K(z * (x \ y),z). L(K(x * y,y),x,z) = K(x * y,y). x \ y != L(K(z * u,u),z,w) | x * K(z * u,u) = y. (x * y) * K(y * z,z) = x * (y * K(y * z,z)). K(x * y,y) * z != L(K(x * y,y),x,u) | 1 = z. 1 = a(x,y,K(z,y * z)). a(x,y,K(z,y * z)) = 1. K((x / y) \ z,y) = K(y * (x \ z),y). K((x \ y) \ z,x) = K(x * (y \ z),x). K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). 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) * K(x * (y \ z),x) = a(x,(z \ y) \ 1,x). K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). K(x,T(y * (z \ x),z)) != u | K(x,(z \ x) * y) = u. K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). T(x,(y * y) \ 1) \ z = (x * ((y * y) \ 1)) \ ((y * y) \ z). (x * ((y * y) \ 1)) \ ((y * y) \ z) = T(x,(y * y) \ 1) \ z. (x * ((y * y) \ 1)) \ ((y * y) \ z) = T(x,y \ (y \ 1)) \ z. (x * (y \ (y \ 1))) \ ((y * y) \ z) = T(x,y \ (y \ 1)) \ z. (x * (y \ (y \ 1))) \ z != u | (y * y) * (x \ z) = u. (x * x) * (y \ ((x * x) \ z)) = T(y,x \ (x \ 1)) \ z. L(R(x,y,R(T(x,y),z,u)),y,R(x,z,u)) = (x * (R(x,z,u) * y)) / (R(x,z,u) * y). x != (y \ ((y * z) / y)) \ z | (y \ z) \ T(z,y) = x. (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R(((x * K(u,x)) \ u) \ u,y,z). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),x \ u,x) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x = L(R(x,y,R(T(x,y),z,u)),y,R(x,z,u)). L(R(x,y,R(T(x,y),z,u)),y,R(x,z,u)) = x. L(R(x,y,R(x,z,u)),y,R(x,z,u)) = x. T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). x != L(y * K(z,y),u,w) * T(z,y) | T(z,y) * L(y,u,w) = x. T(x,y) * L(y,z,u) = T(x * L(L(y,z,u),x,y),y * K(x,y)). T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). T(x * L(L(y,z,u),w,v5),T(y,x)) != v6 | T(x * L(L(y,z,u),w,v5),y) = v6. T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). L(x,L(T(y,z) * L(T(y,z),u,w),y,z),v5) = L(x,(y * z) \ (L(y,u,w) * z),v5). L(T(x,x \ K(x,y)) \ z,x,x \ K(x,y)) = K(x,y) \ ((((y * x) / y) \ 1) * z). L(T(x,x \ 1) \ y,x,x \ K(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(L(x,y,z) \ u,L(x,y,z)) = K((z * y) \ (x \ ((z * y) * u)),L(x,y,z)). K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(x \ y,L(x,z,u)) = K(L(x,z,u) \ y,L(x,z,u)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) != w | K((1 / x) \ u,L(x,y,z)) = w. K((1 / x) \ y,L(x,z,u)) = K(x \ ((x \ (1 / L(x,z,u))) \ y),L(x,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) != v5 | K((x \ u) \ w,L(x,y,z)) = v5. K((x \ y) \ z,L(x,u,w)) = K(x \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ ((x \ y) \ z),L(x,u,w)) != v5 | K(y \ z,L(x,u,w)) = v5. K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,x) != z | K(x * y,x) = z. K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | K(y \ (u * z),L(z,w,v5)) = x. K(1 \ (x * y),L(y,z,u)) = K(x * L(y,z,u),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). T(L(x,y,z) * K(u * x,L(x,y,z)),u) = R(L(x,y,z),u,L(x,y,z)). T(L(x * K(y * x,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). T(L(x * K(x * y,x),z,u),y) = R(L(x,z,u),y,L(x,z,u)). x != R(y,z,y) | z \ T(y * z,y) = x. x \ T(L(y,z,u) * x,L(y,z,u)) = T(L(y * K(y * x,y),z,u),x). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). R(x,y,L(x,z,u)) = R(x,y,x). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. x != R(y,z,y) | T(y * K(z * y,y),z) = x. T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x != (y * T(z,u)) \ (y * R(z,u,z)) | K(z * u,z) = x. K(x * y,x) = K(y * L(x,z,u),x). K(x * L(y,z,u),y) = K(y * x,y). x != K(y * z,y) | K(z,y) * a(y,z,y) = x. K(x,y) * a(y,x,y) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). K((x \ 1) * L(y,z,u),y) != w | K(x \ L(y,z,u),y) = w. K(x \ L(y,z,u),y) = K(y * (x \ 1),y). K((L(x,y,z) \ u) * L(x,y,z),x) != w | K(u,x) = w. K(x,y) = K(y * (L(y,z,u) \ x),y). K(x * (L(x,y,z) \ u),x) = K(u,x). x / T(x,y) = K(x * (L(x,z,u) \ y),x). K(x * (L(x,y,z) \ u),x) = x / T(x,u). K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. K(L(x,y,z) \ u,x) = K(x \ u,x). K(x / L(y,z,u),y) = K(y \ x,y). x != K(y * (z \ 1),y) | K(z \ y,y) = x. K(x \ y,y) = K(x \ L(y,z,u),y). K(x \ L(y,z,u),y) = K(x \ y,y). K((x \ y) \ L(z,u,w),z) != v5 | K(y \ (x * L(z,u,w)),z) = v5. K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. T(x,x * (L(x,y,z) \ u)) = T(x,u). L(T(x,y),z,u) = (x * (L(x,z,u) \ y)) \ (x * y). (x * (L(x,y,z) \ u)) \ (x * u) = L(T(x,u),y,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 * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). K(x \ (y * (z * u)),u) != w | K(x \ (y * (u * z)),u) = w. K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). 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). K((x * y) \ (z \ (x * ((y * u) * z))),z) != w | K(L(u,z * y,x),z) = w. K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). 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) \ 1) = K(x,L(y \ 1,z,u)). K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). x * (T(y / (x \ 1),z) \ y) = K(z,L((x \ 1) \ y,x \ 1,x)). K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). x != K(y,L(z / u,w,v5)) | K(y,L(T(u \ z,u),w,v5)) = x. K(x,L(T(y \ z,y),u,w)) = L(K(x,z / y),u,w). x \ y != K(z,L(u,w,v5)) | x * L(K(z,u),w,v5) = y. x * L(K(x,y),z,u) = T(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,u) != w | K(x,L(y,z / T(y,v5),u)) = w. K(x,L(y,z / T(y,u),w)) = K(x,L(y,z,w)). L(K(x,y),L(y,z,u),w) != v5 | K(x,y) = v5. K(x,y) = K(x,L(y,L(y,z,u),w)). K(x,L(y,L(y,z,u),w)) = K(x,y). K(x,y \ (z * u)) = K(x,L((z \ y) \ u,u,z)). K(x,L((y \ z) \ u,u,y)) = K(x,z \ (y * u)). L(K((x \ 1) \ (x \ y),z),y / x,x) != u | K(y,z) = u. K(x,y) = K((z \ 1) \ (z \ x),L(y,x / z,z)). K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). L(K(x \ y,z),y,y \ 1) != u | K(((y \ 1) * x) \ 1,z) = u. K(((x \ 1) * y) \ 1,z) = K(y \ x,L(z,x,x \ 1)). K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). K(x,(y * z) / (y * u)) = L(K(x,T(u \ z,y * u)),u,y). L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). x \ y != L(K(z,u),w,v5) | x * K(z,L(u,w,v5)) = y. (x * (y * K(z,u))) * K(u,L(z,y,x)) = x * y. (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). x / L(K(y,z),u,w) = x * K(L(z,u,w),y). L(K(x,y \ z),u,w) = K(x,L((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(T(T(y,z),u * z),z,u)) != w | K(x,(u * z) / (u * (y \ z))) = w. L(K(x,y * z),u,w) = K(x,L(T(z * y,y),u,w)). K(x,L(T(y * z,z),u,w)) = L(K(x,z * y),u,w). L(K(x,((y \ z) \ z) \ u),y,y \ z) = K(x,z \ ((y \ z) * u)). K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u * z,w))). K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). K(x,K(y,L(z,u,w))) != v5 | L(K(x,K(y,z)),u,w) = v5. K(x,L((T(y,z) \ u) \ 1,y,z)) = K(x,((y * z) \ (z * u)) \ 1). (x * K(y \ 1,L(z,u,w))) \ (x * z) = T(z,L(y,u,w) \ 1). x \ y != K(z,u) * a(w,v5,K(u,z)) | x * K(z,L(u,v5,w)) = y. ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). x \ y != K(z,L(u,w / T(u,v5),v6)) | x * K(z,L(u,w,v6)) = y. x * K(x,L(y,z,u)) = T(x,L(y,z / T(y,w),u)). T(x,L(y,z / T(y,u),w)) = x * K(x,L(y,z,w)). L(K(x,y),z,u) = K(L(x,z,u),y). (x * (y * K(z,u))) \ (x * y) = K(L(u,y,x),z). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. 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 \ y != L(K(z,u),w,v5) | x * K(L(z,w,v5),u) = y. (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). L(K(x \ (y \ z),u),x,y) = K((y * x) \ z,u). K(L(x,y,z),u) * K(u,x) = a(z,y,K(u,x)). K((x * y) \ z,T(u,y)) = K((x \ z) / y,L(u,y,x)). K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). K(L(x,y,z),(u * (w \ 1)) \ v5) = K(x,L((u * (1 / w)) \ v5,y,z)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,y,x)). K(x \ (y \ z),L(u,x,y)) = K((y * x) \ z,u). K(x * y,z) = K((x \ 1) \ y,L(z,x \ 1,x)). K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). K(x \ (y * z),u) = K((y \ x) \ z,L(u,y \ x,y)). K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). (x * (y * z)) * K(z,L(x * y,y,x)) = L(z,y,x) * (x * y). (x * K(y,L(z,u,w))) \ (x * z) = T(z,L(y,u,w)). (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). (x * (y * z)) * K(z,L(u,y,x)) = x * (y * T(z,u)). K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). K((x * y) \ (y * z),u) = K(T(x,y) \ z,L(u,x,y)). K(T(x,y) \ z,L(u,x,y)) = K((x * y) \ (y * z),u). K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,y) * a(z,u,K(y,x)) != w | w = K(x,L(y,u,z)). K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. K(x,y) * K(L(y,z,u),x) != w | w = a(u,z,K(x,y)). K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z * y,K(y,x)) = w. a(x,y * z,K(z,u)) = a(x,y,K(z,u)). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). K(L(x,y,z),u) * K(u,x) != w | K(x \ L(x,y,z),T(u,x)) = w. K(x \ L(x,y,z),T(u,x)) = a(z,y,K(u,x)). K(L(x,y,z),u) * K(u,x) != w | a(z,y * x,K(u,x)) = w. a(x,y * z,K(u,z)) = a(x,y,K(u,z)). x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). K(L(x,y,z) / x,u) = a(z,y,K(u,x)). K(x \ L(x,y,z),u) = a(z,y,K(u,x)). K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). 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 * z)) * K(u,L(z,y * z,x)) = x * (y * (z * K(u,z))). (x * (y * K(z,u))) \ (x * y) != w | K(L(u,y,x),z) = w. T(x * (y * K(z,u)),K(L(u,y,x),z)) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). (x * y) * K(z * z,u) = x * (y * K(z * z,u)). L(K(x,T(y,z)),y,u) != w | K(x,T(y,z)) = w. K(x \ (y \ z),T(x,u)) = K((y * x) \ z,T(x,u)). K((x * y) \ z,T(y,u)) = K(y \ (x \ z),T(y,u)). K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,x \ y)). K((x * y) \ z,T(u,x \ z)) = K((x \ z) / y,L(u,y,x)). K(x \ ((1 / y) \ z),L(u,x,y)) = K(((1 / y) * x) \ z,u). K(x \ ((y \ 1) * (y \ z)),L(u,x,y)) = K((y * x) \ ((1 / y) * z),u). K(x,K(y \ (z \ u),L(w,y,z))) != v5 | K(w,K(x,(z * y) \ u)) = v5. K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). x != L(K(y,z),u,w) | K(y,L(z,u,w)) = x. K(x,L(y \ z,u,w)) = K(x,L((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). T(x,L(y,z,u)) = T(x,L(y,z / T(y,w),u)). T(x,L(y,z / T(y,u),w)) = T(x,L(y,z,w)). T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). K(K(x,L(y,z,u)),w) * ((v5 / T(y,L(x,z,u))) / (v5 / y)) = T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))). x * K(y,z) != a(u,w,K(y,z)) | K(z,L(y,w,u)) = x. K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). T(x,L(y,z,u)) * K(y,w) != v5 | T(x * K(y,w),L(y,z,u)) = v5. T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). K((x \ 1) \ y,z) = K(x * y,(x \ 1) \ (x \ z)). K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). K(x,(y \ 1) \ (y \ z)) = K((y \ 1) \ (y \ x),z). K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). x != K(y,((z \ 1) \ u) \ w) | K(y,((1 / z) \ u) \ w) = x. K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(((y \ 1) \ 1) \ ((y \ 1) \ x),z). K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). K((x \ 1) \ (x \ y),L(z,y / x,x)) != u | K(y,z) = u. K(x,y) = K(x,(z \ 1) \ (z \ L(y,x / z,z))). K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). K(x,L(y,z / u,u)) != w | K(x,L(y,u \ z,u)) = w. K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(((x \ y) / z) \ y,L(z,x \ y,x)). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). K((x \ 1) \ (x \ y),z) != u | K(y,(x \ 1) \ (x \ z)) = u. K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). (x * (y * K(z,u))) / (x * y) != w | K(z,L(T(u,x * y),y,x)) = w. K(x,(y * z) \ (y * u)) != w | K(x,L(z \ u,u,y)) = w. K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. K((x * y) \ z,u) != w | K(y \ (x \ z),L(u,y,x)) = w. K(x,L(T(y \ z,y),u,w)) != v5 | K(x,L(z / y,u,w)) = v5. K(x,L(T(y * z,z),u,w)) != v5 | K(x,L(z * y,u,w)) = v5. a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). K(x,((y * z) * y) \ ((z * y) * u)) != w | K(x,L(T(y,z) \ u,u,z * y)) = w. K(x,y * ((z * K(x,u)) \ w)) != v5 | K(x,y * ((K(x,u) * z) \ w)) = v5. K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). K((x * y) \ ((1 / x) \ z),L(u,x * y,x)) = K((x * ((x \ 1) * y)) \ z,u). K(x,L(T(((y / z) \ 1) \ u,z / y),w,v5)) != v6 | K(x,L(u / ((y / z) \ 1),w,v5)) = v6. (x * K(y,L(z,u,w))) \ (x * z) != v5 | T(z,L(y,u,w)) = v5. T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). T(x / (L(y,z,u) \ 1),L(y \ 1,z,u)) != w | (L(y,z,u) \ 1) \ x = w. T(x,L((y \ z) \ 1,y,y)) = T(x,((1 / y) * z) \ 1). x != T(y,((1 / z) * u) \ w) | T(y,((z \ 1) * u) \ w) = x. T(x,((y \ 1) * z) \ 1) = T(x,L((y \ z) \ 1,y,y)). T(x,L((y \ z) \ 1,y,y)) = T(x,((y \ 1) * z) \ 1). K(x,y * z) = y * (T(z / (y \ 1),x) \ z). x * (T(y / (x \ 1),z) \ y) = K(z,x * y). (1 / x) \ (1 / (1 / K(y,(1 / x) * z))) = x * (1 / (1 / (x \ (T(z / ((1 / x) \ 1),y) \ z)))). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). K(x,L((T(y,z) \ u) \ 1,y,z)) != w | K(x,(z * u) \ (y * z)) = w. (x * (y * z)) * K(u,L(z,y,x)) = x * (y * (z * K(u,z))). (x * (y * R(z,u,z))) / (x * (y * z)) != w | L(a(z,u,z),y * z,x) = w. L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | y * T(z,u) = x. L(x,y,z) * T(u,x) = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). x != y \ (z * T(y,u)) | T(z * K(y,u),y) = x. T(L(x,y,z) * K(u,x),u) = (u / x) \ (L(x,y,z) * (x \ u)). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). K(x,L((y * (z \ 1)) \ u,w,v5)) = K(x,L((y * (1 / z)) \ u,w,v5)). K(x,L((y * (1 / z)) \ u,w,v5)) = K(x,L((y * (z \ 1)) \ u,w,v5)). K(x,L(y \ T(z,u),z,u)) != w | K(x,(u * y) \ (z * u)) = w. K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(y \ (z \ u),L(z,w,v5))) != v6 | K(x,K(y \ u,L(z,w,v5))) = v6. K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). K(x,K(y,(z * u) \ w)) = K(y,K(x,(z * (u * x)) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) != w | K(x,K(y,a(z,x,T(u,x)))) = w. K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | 1 = x. 1 = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. x != T(a(y,z,u),K(w,z)) | a(y,z,u) = x. a(x,y \ z,u) = T(a(x,y \ z,u),K(y,z)). T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). x \ y != T(a(z,u \ w,v5),K(u,w)) | x * a(z,u \ w,v5) = y. K(x,y) * a(z,x \ y,u) = a(z,x \ y,u) * K(x,y). a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). K(x \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). K(x,y \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | K(z \ (y * u),L(y,w,v5)) = x. K(x \ (y * z),L(y,u,w)) = K(L(y,u,w) * (x \ z),L(y,u,w)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x * L(y,z,u),L(y,z,u)) != w | K(x * y,L(y,z,u)) = w. K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). K(x \ (y * z),L(y,u,w)) != v5 | K((y \ x) \ z,L(y,u,w)) = v5. K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). K(x \ (y * z),L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). K((x \ y) \ (z * u),L(z,u,x)) != w | K(y \ (x * (z * u)),z) = w. K(x \ (y * (z * u)),z) = K(((y \ x) \ u) * z,L(z,u,y)). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). K(x \ (y * z),L(z,u,w)) != v5 | K((x / z) \ y,L(z,u,w)) = v5. K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). K(((x \ y) / z) \ y,L(z,x \ y,x)) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != K(y \ (z * (u * w)),u) | K(u * (y \ (z * w)),u) = x. K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). R(x,y,L(x,z,u)) != w | R(x,y,x) = w. R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). R(x,y,z) != R(R(u,y,z),w,v5) | R(u,w,v5) = x. R(x,y,R(x,z,u)) = R(x,y,x). L(R(x,y,x),y,R(x,z,u)) = x. L(x,y,x) = L(x,y,R(x,z,u)). L(x,y,R(x,z,u)) = L(x,y,x). K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). T(x * (y * K(z,u)),K(z,L(u,y,x))) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). K((x \ y) \ z,L(x,u,w)) != v5 | K((y \ z) * x,L(x,u,w)) = v5. K(((x \ y) \ z) * u,L(u,z,x)) = K((u \ (x \ y)) \ z,(x * ((x \ y) / u)) \ y). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x != K(L(y,z,u),w) * K(w,y) | a(u,z,K(w,y)) = x. a(x,y,K(z,u)) = u \ (u * a(x,y,K(u \ z,u))). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(x,y,K(u \ z,u)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). x != a(y,z,K(u,w)) | K(u,w) * K(w,L(u,z,y)) = x. K(x,y) * K(y,L(x,z,u)) = a(u,z,K(y * x,y)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). x != a(y,z,K(y,u)) | 1 = x. 1 = a(x,y,K(x * z,z)). a(x,y,K(x * z,z)) = 1. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). L(K(x * y,y),z,x) = K(x * y,y). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). a(x,y,K(z,z * u)) != w | a(x,y,K(u \ 1,z * u)) = w. a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). a(x,y,K(z \ 1,u * z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). x * (K(x * y,y) * z) = K(x * y,y) * (x * z). K(x * y,y) * (x * z) = x * (K(x * y,y) * z). K(x * y,y) * (x * (K(y,x) * z)) != u | a(y,x,y) * (x * z) = u. a(x,y,x) * (y * z) = y * (K(y * x,x) * (K(x,y) * z)). x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). x * (a(y,x,y) * z) = a(y,x,y) * (x * z). a(x,y,x) * (y * z) = y * (a(x,y,x) * z). x != K(((y \ z) \ u) * w,L(w,u,y)) | K(w * (z \ (y * u)),w) = x. K(x * (y \ (z * u)),x) = K((x \ (z \ y)) \ u,(z * ((z \ y) / x)) \ y). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). K(((x \ y) \ y) * z,L(z,x \ y,x)) != u | K(((x \ y) / z) \ y,z) = u. K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). x / (K(y * T(z,u),y) * x) = K(y,y * ((z \ u) \ u)). K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,x * T(y,z)) = K(x,x * ((y \ z) \ z)). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). x != K(y,z) \ (z * u) | T(z,y) * u = x. T(x,y * x) * a(z,u,K(y,x)) = L(K(y * x,x),u,z) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). K(x,y * (z * (K(u,x) * w))) != v5 | K(x,y * (z * w)) = v5. K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * (x * (T(T(x,w),w) \ u)))). K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). x != K(y,z * (u * (w * K(v5,y)))) | K(y,z * (u * w)) = x. K(x,y * (z * u)) = K(x,y * (z * (x * (T(T(x,w),w) \ u)))). K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). x != K(y,(z \ u) \ (y \ u)) | K(y,T(y \ z,u)) = x. K(x,T(x \ y,(1 / z) \ y)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). x != K(y,T(y \ z,u \ z)) | K(y,T(y \ z,u)) = x. K(x,T(x \ y,z \ 1)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). x != K(y,T(z,u \ 1)) | K(y,T(z,u)) = x. K(x,T(x \ y,z)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). K(x,T(x \ y,z)) = K(x,x \ T(y,z)). x != K(y,y \ T(z,u)) | K(K(z,u) * y,y \ z) = x. K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). x != K(y,y \ T(z,u)) | T((y \ z) * y,u) \ T(z,u) = x. T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) \ 1 = K(x \ y,T(x,z)). T(K(x,y) * z,z \ x) = K(z,T(z \ x,y)) * (K(x,y) * z). K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). K(x \ T(y,z),x) = K(x \ y,T(x,z)). K((x \ y) \ T(z,x),x \ y) != u | K(y \ (z * x),x \ y) = u. K(x \ (y * z),z \ x) = K((z \ x) \ y,T(z \ x,z)). K((x \ y) \ z,T(x \ y,x)) = K(y \ (z * x),x \ y). K((x \ y) \ z,y / x) = K(y \ (z * x),x \ y). K(x,x \ y) * K(y \ (1 * x),x \ y) = (y / x) * (1 / (x \ y)). K(x,T(x \ y,z)) * (K(y,z) * x) != u | T(x,x \ y) * K(y,z) = u. T(x,x \ y) * K(y,z) = T(K(y,z) * x,x \ y). T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). K(x,x \ y) * K(y \ x,x \ y) = (y / x) * (1 / (x \ y)). K(x,x \ y) * K(z,x \ y) != u | (y / x) / T(x \ y,z) = u. (x / y) / T(y \ x,x \ y) = (x / y) * (1 / (y \ x)). T(x \ y,y \ x) \ (y / x) = (y / x) * (1 / (x \ y)). L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u). K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z / x)) \ u) != w | K(x,(y * z) \ (u * x)) = w. K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) \ x)) \ u) != w | K(x,(y * z) \ u) = w. K(x,(y * z) \ (u * x)) = K(x,(y * ((z \ x) \ 1)) \ u). K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). K(x,(((y \ x) \ 1) * (1 / (1 / z))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). K(x,y * (z * (x * (T(T(x,u),u) \ w)))) != v5 | K(x,y * (z * w)) = v5. K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * (z * L(K(x,u),w,v5))) != v6 | K(x,y * z) = v6. K(x,y * z) = K(x,y * ((z \ 1) \ K(u,x))). K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). K(x,y * (((z \ 1) \ 1) \ u)) != w | K(x,y * (z \ u)) = w. K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). K(x,y * (z \ K(u,x))) != w | K(x,y * (K(u,x) / z)) = w. K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(w,u)))). K(x,y * (K(z,x) / u)) != w | K(x,y * ((K(x,z) * u) \ 1)) = w. K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)) != w | K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = w. K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). K(x,K(y,z * (u \ 1))) = K(x,K(y,z * (u \ K(w,y)))). K(x,K(y,z * (u \ K(w,y)))) = K(x,K(y,z * (u \ 1))). K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,(z * u) * (u \ 1))). K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,R(z,u,u \ 1))). K(x,K(y,R(z,u,w))) != v5 | K(y,K(z,R(x,u,w))) = v5. K(x,K(y,R(z,u,u \ K(w,x)))) = K(z,K(x,R(y,u,u \ 1))). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,R(y,u,u \ K(w,x)))). K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(z,R(y,u,u \ 1))). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). x != K(y,R(z * K(y,u),w,v5)) | K(y,R(z,w,v5)) = x. K(x,R(y,z,z \ 1)) = K(x,R(R(y,K(x,u),z),z,(K(x,u) * z) \ 1)). K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). K(x,R(R(y,K(x,z),u),w,v5)) != v6 | K(x,R(y,w,v5)) = v6. K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). x != y \ (z * K(u,y)) | T(z / T(y,u),y) = x. T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). T(a(K(x,y),z,z \ x),x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). x != T(a(K(y,z),u,w),y) | a(K(y,z),u,w) = x. a(K(x,y),z,z \ x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). ((x / y) * (y * K(z,x))) \ ((z * x) / z) != u | a(x / y,y,K(z,x)) = u. a(x / y,y,K(z,x)) = a(K(x,z),y,y \ x). a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). T(x * y,z) * a(x,y,K(z,x * y)) != u | x * (y * K(x * y,z)) = u. x * (y * K(x * y,z)) = (K(x * y,z) * y) * T(x,y). (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). T(x,y) * z != x * (y * K(x * y,u)) | T(K(x * y,u) * y,T(x,y)) = z. T(K(x * y,z) * y,T(x,y)) = T(y,x) * K(x * y,z). (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). T(x * K(x * y,z),T(y,x)) = T(x,y) * K(y * x,z). (x * y) * T(z,y) != u | (x * ((z * y) / z)) * z = u. (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). x != y * (K(z,u) * w) | y * (w * K(z,T(u,w))) = x. x * (y * K(y * x,T(z,y))) = (K(x * y,z) * ((x * y) / x)) * x. (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). (x * y) * L(K(y * x,T(z,y)),y,x) = (K(x * y,z) * ((x * y) / x)) * x. (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). (x * y) * z != (K(x * y,u) * ((x * y) / x)) * x | R(K(x * y,u),y,T(x,y)) = z. R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). x != K(y,(z * (u / (1 / w))) \ v5) | K(y,(z * (u / (w \ 1))) \ v5) = x. K(x,(((y \ x) \ 1) * (1 / (z \ 1))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). x != T(y,K(z,u)) * K(w,z) | T(y * K(w,z),K(z,u)) = x. T(x * K(y,z),K(z,u)) = ((1 / (1 / K(z,u))) \ x) * (K(z,u) * K(y,z)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). x * K(K(y,z) * K(z,u),x) = T((K(z,u) * x) * K(u,z),K(z,y)). T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). 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)). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). R(K(x / (y / z),u),x,z) != w | K((x * z) / y,u) = w. K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | K(w \ L(y,z,u),y) = x. K((x / y) \ L(z,u,w),z) = K((L(z,u,w) * y) / x,z). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). K((L(x,y,z) * u) / w,x) != v5 | K((((L(x,y,z) \ w) \ u) \ u) \ u,x) = v5. K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). x * (1 / (1 / K(y,x \ z))) = (1 / x) \ K(y,(x \ 1) * z). (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). (1 / x) \ K(y,z) = x * K(y,x \ ((x \ 1) \ z)). x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). (1 / x) \ K(y,(x \ 1) * z) != x * u | K(y,x \ z) = u. ((1 / x) \ K(y,z)) \ x = K(x \ ((x \ 1) \ z),y). K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. K(x \ ((x \ 1) \ y),z) != u | K(y,x \ ((x \ 1) \ z)) = u. K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) != w | K(x,((x \ z) * y) \ u) = w. K(x,((x \ y) * z) \ u) = K(x,(((y \ x) \ 1) * z) \ u). K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). K(x,((((y \ x) \ x) \ 1) * z) \ 1) != u | K(x,((y \ 1) * z) \ 1) = u. K(x,((y \ 1) * z) \ 1) = K(x,((x \ (y \ x)) * z) \ 1). K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). K(x,((x \ y) * z) \ 1) != u | K(x,(y * z) \ x) = u. K(x,((y \ x) * z) \ x) = K(x,((y \ 1) * z) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). K(x,((y \ 1) * (y / z)) \ 1) != u | L(K(x,z),y,y \ 1) = u. L(K(x,y),z,z \ 1) = K(x,((z \ x) * (z / y)) \ x). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). L(K(x,y),z,z \ x) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). K(x,L(y,z,z \ 1)) = L(K(x,y),z,z \ x). L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ x)) = K(x,L(y,z,z \ 1)). K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) != u | K((((y \ x) \ 1) * (y \ 1)) \ 1,z) = u. K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,L((x \ 1) \ (x \ z),x \ y,x)). K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). K(x,L((y \ 1) \ (y \ z),y \ x,y)) != u | K(x,z) = u. K(x,y) = K((((z \ x) \ 1) * (z \ 1)) \ 1,y). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) != u | (1 / (x \ y)) * (x \ T(y,z)) = u. (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). (1 / x) * ((y / x) \ T(y,z)) = K(y,z). (1 / x) \ K(y,z) = (y / x) \ T(y,z). K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. T(x,y) / ((1 / z) \ x) = K(x,y) / z. x != K(y,z) / z | 1 / T(z,y) = x. 1 / T(x,y) = T(y,x) / ((1 / x) \ y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). x / y != z / (u \ z) | u \ x = y. x \ T(y,z) = (1 / (x \ K(y,z))) \ y. (1 / (x \ K(y,z))) \ y = x \ T(y,z). T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). (1 / T(x,y)) \ x = (1 / x) \ T(x,y). (1 / (x \ y)) \ (y / x) = (1 / (y / x)) \ T(y / x,x). (1 / (x / y)) \ T(x / y,y) = (1 / (y \ x)) \ (x / y). K(x,(y \ 1) \ z) = ((1 / z) \ K(y * z,x)) \ z. ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). ((1 / x) \ K(y,z)) \ x != u | K(z,x \ ((x \ 1) \ y)) = u. K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). x * K(y,(z \ 1) \ x) = (1 / x) \ K(y,z * x). (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). (1 / x) \ K(y,z) = x * K(y,((z / x) \ 1) \ x). x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). (1 / (x / y)) \ (y \ x) = (1 / (y \ x)) \ (x / y). (1 / (x / y)) \ (y \ x) != z | (y \ x) * (((x / y) \ 1) \ 1) = z. (x \ y) * (((y / x) \ 1) \ 1) = (1 / (x \ y)) \ (y / x). (x \ y) * T(y / x,y \ x) = (1 / (x \ y)) \ (y / x). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). K(x * y,T(T(x,z),u)) * K((x \ z) \ z,T(y,u)) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). a(x,y,x) = K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)). K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. x != (L(y,z \ u,z) * u) \ (y * u) | a(z,z \ u,T(y,u)) = x. a(x,x \ y,T(R(x,z,u),y)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(z,x)) * 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))). K(x,y) * (T(z,K(y,x)) * K(y,u)) = T(K(y,u) * K(x,y),z) * z. T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). x * y != K(z,u) * (T(w,K(u,z)) * K(u,v5)) | (w * (K(u,v5) * K(z,u))) / y = x. (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). x * y != T(x,z) | K(x,z) = y. K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). x \ y != K(z,K(u,w) * K(v5,u)) | x * K(K(u,w) * K(v5,u),z) = y. 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 * 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(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). x * y != T(x,K(z,u) * K(w,z)) | K(K(w,z) * K(z,u),x) = y. K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | K(w,K(z,y) * K(u,z)) = x. K(x,K(y,z) * K(u,y)) = K(x,K(y,z)) * K(x,K(y,u)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). x != K(y,K(z,u) * K(w,z)) | K(K(z,u) * K(w,z),y) = x. K(K(x,y) * K(z,x),u) = K(u,K(x,y)) * K(u,K(x,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). K(x,K(y,z)) * u != w | K(z,v5) * (K(y,K(z,x)) * (K(z,v5) \ u)) = w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). T(T(x,K(y,z)),K(z,u)) != w | T(x,K(y,z) * K(z,u)) = w. T(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,z) * K(R(z,u,w),y)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). K(K(x,y) * K(z,x),u) = K(K(z,x) * K(x,y),K(z,x) \ u). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). x != K(K(y,z) * K(u,y),w) | K(w,K(y,z) * K(u,y)) = x. K(x,K(y,z) * K(u,y)) = K(K(u,y) * K(y,z),K(y,u) * x). K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). x != T(T(y,K(z,u)),K(z,w)) | T(y,K(z,w) * K(u,z)) = x. T(x,K(y,z) * K(R(u,w,v5),y)) = T(x,K(y,z) * K(R(u,w / u,v5),y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(y,K(z,u) * K(w,z)) | T(y,K(z,w) * K(u,z)) = x. T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | K(K(u,z) * K(z,w),y) = x. K(K(x,y) * K(y,R(z,u,w)),v5) = K(K(x,y) * K(y,(u * w) / ((z \ u) * w)),v5). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),y) * (y \ 1)) = T(x,y \ (1 * T(1 \ z,y))). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) != u | K(z,T(y,x)) = u. K(x,T(x * T(y,z),u)) = K(x,T(x * ((y \ z) \ z),u)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(x,R((y * z) / y,u,w)) != v5 | T(x,R(y / (y / z),u,w)) = v5. T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(x,R(y / (y / z),u,z)) != w | T(x,y / (y / z)) = w. T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T(x * K(y,z),z / (z / y)) != u | ((z * y) / z) \ (x * y) = u. ((x * y) / x) \ ((z / R(y,u,y)) * y) = ((R((x * y) / x,u,y) \ y) \ y) \ z. ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | T(z,y) * (z \ u) = x. T(x,y) * (x \ (R(x,z,x) \ u)) = ((R((y * x) / y,z,x) \ x) \ x) \ u. ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. (x \ (y * (x * z))) / ((x * z) \ (y * (x * z))) = T((z * y) / z,x * z) \ (x \ (y * (x * z))). T((x * y) / x,z * x) \ (z \ (y * (z * x))) = (z \ (y * (z * x))) / ((z * x) \ (y * (z * x))). T((x * y) / x,z * x) \ (z \ (y * (z * x))) = (z \ (y * (z * x))) / T(y,z * x). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | K(w,y) * L(z,u,z) = x. K(L(x,y,z),u) * L(x,u,x) = T(x,u * x) * a(z,y,K(T(u,x),T(x,u * x))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | L(T(y,z),u,y) = x. L(T(x,L(y,z,u)),y,x) = T(x,y * x) * a(u,z,K(T(y,x),T(x,y * x))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) != w | L(K(y * x,x),u,z) \ T(x,K(y * x,x)) = w. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. K(L(x,y,z),u * x) * x = L(T(x,L(u,y,z)),u,x). L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. T(x,L(y * x,z,u)) = L(T(x,L(y,z,u)),y,x). L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). L(T(x,L(y,z,u)),y,x) != w | T(x * a(u,z,K(y,x)),x * y) = w. T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). x * (y * K(y * x,T(z,y))) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). x * (K(y * x,z) * y) = K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x). K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). K(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). x != K((y \ z) \ T(z,y),u) | K(y,u) = x. K(x,y \ L(T(x,x \ z),u,w)) = K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). x != K(y,z \ L(T(y,u),w,v5)) | K(y,z \ L(y,w,v5)) = x. K(x,y \ L(x,z,u)) = K((x \ w) \ T(w,x),y \ L((x \ w) \ T(w,x),z,u)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). K(x,T((y * z) \ (u * x),w)) = K(x,T((y * (x \ z)) \ u,w)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) != w | K(x,z / ((x \ y) * u)) = w. K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). K(x,(y * z) / ((u * (x \ y)) * z)) != w | R(K(x,u \ x),y,z) = w. R(K(x,y \ x),z,u) = K(x,(((y * z) * u) / (z * u)) \ x). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,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). K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). x \ y != K(z,R(u \ 1,w,v5) \ z) | x * R(K(z,z * u),w,v5) = y. x * R(K(x,x * y),z,u) = T(x,R(y \ 1,z,u) \ x). T(x,R(y \ 1,z,u) \ x) = x * R(K(x,x * y),z,u). R(K(x,x * y),z,u) != w | K(x,R(y \ 1,z,u) \ x) = w. R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). K(x,K(y,L(z,u,K(x,w)))) != v5 | K(y,K(x,z)) = v5. K(x,K(y * z,a(y,z,u))) = K(y * z,K(x,(T(y * z,w) * u) \ L(u,z,y))). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). K(x,K(y,z \ (y \ u))) != w | K(x,K(y,z \ u)) = w. K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). R(x,y \ R(y,z,y),y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). x != R(y,z \ R(z,u,z),z \ L(z,u,z)) | y = x. x = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. K(x,K(L(y,z,u),w)) * ((v5 / T(y,L(x,z,u))) / (v5 / y)) = T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). x != R(K(y,y \ 1),z,u) | K(y,y \ 1) = x. K(x,x \ 1) = R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). R(x,y,z) * u != K(x,x \ 1) | 1 / R(x,y,z) = u. 1 / R(x,y,z) = (1 / x) * (R(x,y,z) \ x). (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. R(x,y,z) \ x = (x \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. (x \ 1) \ (R(x,y,z) \ 1) != u | R(x,y,z) \ x = 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). R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) != u | ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = u. ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * R(x \ 1,R(x,y,z),x \ 1),y,z). R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). a(1 / R(x,y,z),x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). R(x * T(x \ 1,x),y,z) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). x != R(y * T(y \ 1,z),u,w) | K(R(y,u,w) \ 1,z) = x. K(R(x,y,z) \ 1,x) = a(1 / R(x,y,z),x,x \ 1). a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). x \ y != a(1 / R(z,u,w),z,z \ 1) | x * K(R(z,u,w) \ 1,z) = y. (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). T(1 / R(x,y,z),x) = ((1 / R(x,y,z)) * x) * (x \ 1). ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). x != T(1 / R(y,z,u),y) | R(y,z,u) \ 1 = x. R(x,y,z) \ 1 = (x / R(x,y,z)) * (x \ 1). (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | R(y,z,u) \ y = x. R(x,y,z) \ x = T(R(x,y,z) \ x,x \ 1). T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. T(1 / x,R(x,y,z) \ x) = 1 / x. (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). R(x,y,z) \ 1 = (x \ 1) / (x \ R(x,y,z)). (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. x * y != (z \ R(z,u,w)) \ (z \ 1) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. a(x,y,R(x,z,u)) \ 1 = R(x,y,R(x,z,u)) \ x. R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). 1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). x != 1 * y | y = x. x \ R(T(x,y),z,u) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. R(x,y,R(x,z,u)) \ x != w | a(x,y,R(x,z,u)) \ 1 = w. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). a(x,y,R(x,z,u)) = x \ R(x,y,R(T(x,w),z,u)). x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). x \ R(x,y,R(T(x,y),z,u)) != w | L(x,y,R(x,z,u)) \ x = w. L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. a(x,y,R(x,z,u)) = a(R(x,z,u),y,x). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). x != a(T(y,z),T(y,z) \ z,u) | (z * L(u,y \ T(z,y),y)) \ (z * u) = x. (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). x != T(y,z) \ R(T(y,z),u,y) | y \ R(y,u,y) = x. x \ R(x,y,x) = K(x * y,T(x,z)) * K(T(x,z),y). K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). (x \ L(x,y,x)) * x = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. x != (y \ L(y,z,u)) * y | L(y,z,u) = x. L(x,y,x) = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,y) \ R(K(x,y),z,u) != w * (K(y,x) * R(K(x,T(y,v5)),z,u)) | K(v5,K(y,R(x,z,u))) = w. x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) != w | ((K(y,x) * z) * u) / (K(y,x) * (z * u)) = w. ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). x != (1 / y) * R(y,z,u) | y \ R(y,z,u) = x. x \ R(x,y,z) = T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). L((x \ R(x,y,z)) \ u,x \ R(x,y,z),x \ R(x,y,z)) = ((x \ R(x,y,z)) \ 1) * u. T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). x != T(a(y,z,u),y) | a(y,z,u) = x. a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,z) = (a(x,y,z) \ 1) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). L(x \ a(y,z,u),x,a(y,z,u)) = ((a(y,z,u) \ 1) * x) \ 1. R(a(x,y,z) \ 1,a(x,y,z),u) = u / (a(x,y,z) * u). (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). a(x,x \ y,T(R(x,z,u),y)) = a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,T(x,y) \ z,R(x,u,w)) != v5 | a(x,x \ z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). a(x,x \ y,R(T(x,y),z,u)) != w | a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)) = w. a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). T(x,x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). x != T(y,y * (z / T(y,u))) | T(y,z) = x. T(x,y) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). x != R(R(y,z,u),w,v5) * (z * u) | (R(y,w,v5) * z) * u = x. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * v5) * R((K(x,w) * v5) \ (T(T(x,w),T(y,w)) * v5),z,u). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. (x * y) * R((x * y) \ (z * y),u,w) != v5 | (x * R(x \ z,u,w)) * y = v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 != v6 | R(T(x,y),z,u) * (K(x,w) * v5) = v6. R(T(x,y),z,u) * (K(x,w) * v5) = (K(x,w) * R(T(x,y),z,u)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). K(x,y) = R(K(x,y),R(T(x,z),u,w),v5). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y / z),y,z \ 1) != u | K(x,y * (z \ 1)) = u. K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). x != K(y,R(T(y,z),u,w) / v5) | K(y,v5 \ R(T(y,z),u,w)) = x. K(x,y \ R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) * (y \ 1)). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). K(x,R(T(x,y),z,u) * w) != v5 | K(x,R(x,z,u) * w) = v5. K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(T(x,w),y,z)). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). x != K(y,R(y,z,u) * (w \ 1)) | K(y,w \ R(y,z,u)) = x. K(x,y \ R(x,z,u)) = K(x,y \ R(T(x,w),z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) != v6 | a(v5,w,L(K(x,y),z,u)) = v6. a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). K((x \ y) \ T(y,x),z) != u | K(x,z) = u. K(x,y \ L(L(T(x,x \ z),z,x),u,w)) = K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). (x * R(K(y,z),u,w)) * K(z,v5) != v6 | x / (K(v5,z) * R(K(z,y),u,w)) = v6. x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). x = (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). x * a(K(y,z),u,u \ 1) = x / a(K(z,y),u,u \ 1). x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). K(x,a(K(y,z),u,u \ 1)) = 1. T(x,a(K(y,z),u,u \ 1)) = x. T(x,a(K(y,z),u \ 1,u)) = x. T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). x != a(y,z \ 1,z) | y \ R(y,z \ 1,z) = x. K(x,y) \ R(K(x,y),z \ 1,z) = T(a(K(x,y),z \ 1,z),u). T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). T(K(x,y) * R(K(y,x),z,u),w) != v5 | K(x,T(y,w)) * R(K(y,T(x,w)),z,u) = v5. K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). K(x,T(y,z)) * u != w | K(z,K(y,x)) * (K(x,y) * u) = w. K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,R(z,u,u \ 1))). K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). K(x,K(y,R(z,u,u \ 1))) != w | K(x,K(z,R(y,u,u \ K(v5,x)))) = w. K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(y,z)). x * K(y,K(z,x)) = T(x,K(y,R(z,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (1 / u))). K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (u \ 1))). K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). K(x,K(y,(z \ 1) \ u)) = K(x,K(T(y,u),u * z)). K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). K(x,K(y,(z \ 1) / (u / z))) != w | K(y,(T(u,x) / z) / (u / z)) = w. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | K(y,K(z,u)) * K(y,K(z,u)) = x. K(x,K(y,z)) * K(x,K(y,z)) = a(K(K(u,w),v5),v6,v6 \ v5). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). x != y * K(z,K(u,y)) | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K(z,R(y,u,u \ 1))). T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). T(x,K(y \ z,R(u,y,y \ 1))) != w | T(x,K(u,T(z * (y \ 1),y))) = w. T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). T(x,K(y,z * (u \ 1))) = T(x,K(T(y,u),u \ z)). T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). x != T(y,K(z,y \ u)) | T(y,K(z,u)) = x. T(x,K(y,z)) = T(x,K(y,z * (x \ 1))). T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z * u)) = K(x,K(y,(z \ 1) \ u)). K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). K(x,K(y \ (z * u),u \ (z \ 1))) != w | K(x,K(z * u,(z \ y) \ u)) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),y * z)). K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). T(x,K(y,z / u)) = T(x,K(y,z * (u \ 1))). T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(T(x,y),K(y,z / u)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). x * K(x,T(y,z / u)) = T(x,T(y,z * (u \ 1))). T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). x != K(y,K(z,u)) * K(y,K(z,w)) | K(y,K(z,u) * K(w,z)) = x. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). x != a(K(y,K(z,u * w)),u,w) | 1 = x. 1 = K(x,K(y,R(z,u,u \ x)) * K(z,y)). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. K(x,K(y,R(z,u,w)) * K(z,y)) != v5 | K(x,K(y,z) * K(z,R(y,u,w))) = v5. K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,y),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). x != R(K(y,z),u * y,w) | K(R(y,u,w),z) = x. K(R(x,y,y \ 1),z) = K(x,((z \ (y * x)) * (y \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),R(y,y \ z,x)). K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). R(K(R(x,y,z),u),w,x) != v5 | K(R(x,y,z),u) = v5. K(R(x,y,y \ 1),z) = K(x,(((z \ y) * x) * (y \ 1)) \ x). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,((y * x) * z) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) != u | R(K(x,y),z,z \ 1) = u. R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). K(x,T((y \ 1) * (z * y),y)) != u | K(x,L(z,y,y \ 1)) = u. K(x,L(y,z,z \ 1)) = R(K(x,y),z,z \ 1). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). R(K(x,y),z,z \ 1) != u | K(x,R(y,z,z \ 1)) = u. K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). K(x,R(y,z,z \ 1)) != u | K(x,R(y,z,(K(x,w) * z) \ 1)) = u. K(x,R(y,z,(K(x,u) * 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)). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K((y \ 1) \ 1,L(x,y,y \ 1)). L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K(y,L(x,y,y \ 1)). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = (x * y) * K(y,x). x != (y * z) * K(z,y) | z * y = x. x * y = (R(y,x,x \ 1) \ (y * x)) * R(y,x,x \ 1). (R(x,y,y \ 1) \ (x * y)) * R(x,y,y \ 1) = y * x. (R(x,y,y) \ (x * y)) * R(x,y,y \ 1) = y * x. (R(x,y,y) \ (x * y)) * R(x,y,y) = y * x. K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. K(x * ((y * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). x != T(y,z) \ L(T(y,z),u,w) | T(y \ L(y,u,w),z) = x. T(x \ L(x,y,z),K(u,w)) = T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K((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) * (x \ w))) = K(x,(R(x,y,z) * w) / u). K(x,T(y,z * (x \ u))) != w | K(x,T(y,z * u)) = w. K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). K(x,y / (R(x,z,u) \ w)) != v5 | K(x,(y * R(x,z,u)) / w) = v5. K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) != w | K(R(x,K(y * z,x) * y,z),u \ x) = w. K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,z),u,w),v5) != v6 | K(K(x,y) * K(y,R(z,u,w)),v5) = v6. K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * K(y,z),K(y,x) * u) != w | K(u,K(y,z) * K(x,y)) = w. K(x * y,K(z,R(u,x,y)) * K(u,z)) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | K(y,K(z,u) * K(u,R(z,w,v5))) = x. K(x * y,K(z,u) * K(u,R(z,x,y))) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | 1 = x. 1 = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). x != y * a(K(z,u),w,v5) | x * a(K(u,z),w,v5) = y. x * a(K(y,z),u,w) != v5 | v5 * a(K(z,y),u,w) = x. K(x,y) * (z * L(x,y,x)) != u | K(x,x * y) * (z * x) = u. K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). x != R(K(y,z),u,w) * L(y,v5,y) | L(y * R(K(y,z),u,w),v5,y) = x. L(x * R(K(x,y),z,u),y,x) = T(x,x * y) * a(K(x,y),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | u * a(K(y,z),w,v5) = x. x * a(K(y,z),u,w) = (a(K(y,T(z,x)),u,w) * K(y,z)) * (K(z,y) * x). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | y * K(a(K(y,z),u,w),v5) = x. x * K(a(K(x,y),z,u),w) = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * x). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). K(x,y) * T(z,K(u,R(x,w,v5))) != v6 | T(K(x,y) * z,K(x,R(u,w,v5))) = v6. T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) != v5 | T(x,a(K(z,y),u,w)) = v5. T(x,a(K(y,z),u,w)) = x * K(a(K(x,z),u,w),y). x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(x,a(K(y,z),u,w)) = K(a(K(x,z),u,w),y). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). x != K(y,a(K(z,u),w,v5)) | K(a(K(y,u),w,v5),z) = x. K(a(K(x,y),z,u),w) = a(K(y,K(x,w)),z,u). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). x * T(x \ (x * y),z) = ((x * L(y,u,w)) * T(y,z)) / L(y,u,w). ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * y) * L(x,z,u) = (y * L(x,z,u)) * T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). x / a(y,z,L(y,u,w)) = x * (K(z,y) * K(y,z * L(y,u,w))). x * (K(y,z) * K(z,y * L(z,u,w))) = x / a(z,y,L(z,u,w)). K(x,y) * z != K(x * L(y,u,w),y) | a(y,x,y) = z. a(x,y,x) = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = a(x,y,x). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). K(L(x,y,z) * u,x) * K(x,u) != w | L(x,u,L(x,y,z)) \ x = w. L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). x != a(y,z,L(y,u,w)) | a(y,z,y) = x. a(x,y,x) = L(x,y,L(x,z,u)) \ x. L(x,y,L(x,z,u)) \ x = a(x,y,x). a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). x \ y != a(y,z,y) | L(y,z,y) = x. L(x,y,x) = L(x,y,L(x,z,u)). L(x,y,L(x,z,u)) = L(x,y,x). x != L(y,z,y) | L(y,z,R(y,u,w)) = x. L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). L(x,y,L(L(z \ u,w,v5),z,z)) != v6 | L(x,y,L(z * u,w,v5)) = v6. L(L(x \ y,z,u),w,L(x * y,z,u)) = L(L(x \ y,z,u),w,L(x \ y,z,u)). L(L(x \ y,z,u),w,L(x \ y,z,u)) = L(L(x \ y,z,u),w,L(x * y,z,u)). L(L(x,y,x),z,u) = L(L(x,z,u),y,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). L(x \ y,z,(1 / x) * y) = L(x \ y,z,x \ y). L(x,y,x) \ L(L(x,y,L(x,z,u)),w,v5) = L(x \ L(x,w,v5),y,L(x,z,u)). x != L(y,z,L(y,u,w)) | L(y,z,R(y,v5,v6)) = x. L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. x \ y != L(y,z,R(y,u,w)) | a(y,z,R(y,u,w)) = x. a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). a(x,y,x) = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = a(x,y,x). (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). x * y != z / z | x \ 1 = y. a(x,y,L(x,z,u)) \ 1 = K(y,x) * K(x,y * L(x,z,u)). K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. L(x,y,x) \ L(L(x,y,x),z,u) = L(x \ L(x,z,u),y,L(x,w,v5)). L(x \ L(x,y,z),u,L(x,w,v5)) = L(x,u,x) \ L(L(x,u,x),y,z). x != L(y,z,u) \ L(L(y,z,u),w,v5) | L(y \ L(y,w,v5),z,u) = x. L(x \ L(x,y,z),u,x) = L(x \ L(x,y,z),u,L(x,w,v5)). L(x \ L(x,y,z),u,L(x,w,v5)) = L(x \ L(x,y,z),u,x). L(L(x,y,z),u,L(x,w,v5)) != v6 | L(L(x,u,x),y,z) = v6. L(L(x \ y,z,x \ y),u,w) = L(L(x \ y,u,w),z,L(x * y,u,w)). L(L(x \ y,z,u),w,L(x * y,z,u)) = L(L(x \ y,w,x \ y),z,u). (x / R(y,z,u)) * R(R(y,w,y),z,u) != v5 | x * a(y,w,R(y,z,u)) = v5. x * a(y,z,R(y,u,w)) = x * a(R(y,u,w),z,L(R(y,u,w),v5,v6)). x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) != w | a(x,x \ u,R(x,y,z)) = w. a(x,x \ y,R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). a(x,y,R(x,z,u)) != w | a(x,y,x) = w. a(x,y,x) = R(a(x,y,x),z,u). R(a(x,y,x),z,u) = a(x,y,x). R(a(x,y * K(z,y),x),y * K(z,y),z) != u | L(a(x,y,x),y,z) = u. L(a(x,y,x),y,z) = a(x,y * K(z,y),x). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). a(x,L(y * K(z,y),u,w),x) = L(a(x,L(y,u,w),x),L(y,u,w),z). L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). L(x,y,a(z,u,z)) = x. x * y = a(z,u,z) * ((a(z,u,z) \ x) * y). a(x,y,x) * ((a(x,y,x) \ z) * u) = z * u. (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). a(x,a(y,z,y) * u,w) = (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w). (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). a(a(x,y,x) * z,u,w) = (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). L(x,y,a(z,u,z) * w) = (a(z,u,z) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). x != L(y,z,a(u,w,u)) | x = y. L(x,y,a(z,u,z)) != w | w = x. L(x,y,a(z,u,z)) != w | x = w. (a(x,y,x) * z) / u = a(x,y,x) * (z / u). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). x != a(y,z,y) * (z * u) | z * (a(y,z,y) * u) = x. x * (a(y,x,y) * z) = (x * a(y,x,y)) * z. (x * a(y,x,y)) * z = x * (a(y,x,y) * z). L(x,a(y,z,y),z) = x. L(x,K(y,z),z \ y) = x. L(x,K(y,z),y \ z) = x. L(K(x,y) * ((y \ x) \ z),K(y,x),y \ x) != u | (K(y,x) * (y \ x)) \ z = u. (K(x,y) * (x \ y)) \ z = K(y,x) * ((x \ y) \ z). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). K(x,y) * a(x,x \ y,x) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). x != K(y,z) * a(y,y \ z,y) | K(y,y \ z) = x. K(x,x \ y) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. K(x,y \ R(x,z,u)) = K(x,y \ x). K(x,R(y,z,u) \ R(x,z,u)) != w | K(R(x,z,u),y \ x) = w. K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) != v7 | K(R(x,y,z),u) = v7. K(R(x,y,z),u) = K(x,R(R(x / u,u,L(K(w,x),v5,v6)),y,z) \ x). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). L(a(x,L(y,z,u),x),L(y,z,u),u * z) != w | (u * (z * y)) \ (u * (z * (T(x * y,x) / x))) = w. (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). 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(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != K(y,R(z,u,(K(y,w) * u) \ 1)) | K(y,L(z,u,u \ 1)) = x. K(x,L(y,z,z \ 1)) = R(K(x,y),z,(K(x,u) * z) \ 1). R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). 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). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. 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). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u * x,w),z). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). K(a(K(x,y),z,u),w) != v5 | a(K(x,K(y,w)),z,u) = v5. a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). K(L(x,y,y \ 1),z) = y * ((K(z,x) * y) \ 1). x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). x * y != K(L(z,u,w),v5) | x \ K(z,L(v5,u,w)) = y. x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). K(x,((((y \ 1) \ 1) * z) \ u) \ w) != v5 | K(x,((y * z) \ u) \ w) = v5. K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). K(x,((T(y,x) / z) \ 1) \ z) != u | z \ ((T(y,x) / z) \ y) = u. x \ ((T(y,z) / x) \ y) = K(z,((y / x) \ 1) \ x). K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). x \ y != K(z,((T(u,z) / w) \ 1) \ v5) | x * K(z,((u / w) \ 1) \ v5) = y. x * K(y,((z / x) \ 1) \ x) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). x * K(y,((z / x) \ 1) \ x) != u | u = (T(z,y) / x) \ z. x * K(y,((z / x) \ 1) \ x) != u | (T(z,y) / x) \ z = u. x != y * K(z,((u / y) \ 1) \ y) | (1 / y) \ K(z,u) = x. (1 / x) \ K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = (1 / z) \ K(y,x). x \ y = (1 / (x \ T(y,z))) \ K(z,y). (1 / (x \ T(y,z))) \ K(z,y) = x \ y. K(x,L(L(x,y,z),u,w) / v5) = K(x,(1 / (v5 \ T(L(L(x,y,z),u,w),v6))) \ K(v6,L(L(x,y,z),u,w))). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). (1 / x) \ K(y,z) != u | (T(z,y) / x) \ z = u. T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). L(x,y,z) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). L(x,y,R(z,u,z)) = L(x,y,z). L(x,y,K(z * u,z)) = L(x,y,K(u,z)). L(x,y,T(z * u,z)) = L(x,y,u * z). L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). L(x,y,R(z,u,z)) != w | L(x,y,L(z,u,z)) = w. L(x,y,L(z,u,z)) = L(x,y,z). x != L(y,z,u) | L(y,z,L(u,w,u)) = x. L(x,y,L(z,u,z)) = L(x,y,L(z,w,z)). L(x,y,z) != L(u,y,L(z,w,z)) | x = u. L(x,y,L(z,u,z)) != L(w,y,z) | w = x. L(x,y,T(z / u,z)) = L(x,y,u \ z). x != L(y,z,K(z,u)) | y = x. x = L(x,y,K(z * y,z)). L(x,y,K(z * y,z)) = x. L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. L(x,y,T(z,u)) = L(x,y,(u \ z) * u). L(x,y,(z \ u) * z) = L(x,y,T(u,z)). L(x,y \ z,K(y,z)) = x. L(x \ (K(y,z) * u),x,K(z,y)) != w | (K(z,y) * x) \ u = w. (K(x,y) * (x \ y)) \ z = (x \ y) \ (K(y,x) * z). L(x,y,z / (T(z,u) / u)) = L(x,y,L(u,w,u)). L(x,y,L(z,u,z)) = L(x,y,w / (T(w,z) / z)). L(x,y,y / z) = L(x,y,z \ y). L(x,y,(z \ u) * z) != w | L(x,y,z * (u / z)) = w. L(x,y,z * (u / z)) = L(x,y,T(u,z)). L(x,y,z * ((T(z,u \ 1) / u) / z)) != w | L(x,y,z / u) = w. L(x,y,z / u) = L(x,y,T(T(z,u \ 1) / u,z)). L(x,y,T(T(z,u \ 1) / u,z)) = L(x,y,z / u). K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(x,x * y) = T(x,R(y \ 1,y,z) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). T(x,(y / z) \ x) != u | T(x,(z * x) / y) = u. T(x,(y * x) / z) = T(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). T(x,T(x * (y / z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). T(x,T((y * x) / z,u)) != w | T(x,T(y / (x \ z),u)) = w. T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(R(x,y,z),(u / w) \ x) != v5 | K(R(x,y,z),x * (w / u)) = v5. x != K(y,(z / u) \ y) | K(y,y * (u / z)) = x. K(x,x * (((y * z) * u) / (z * u))) = R(K(x,x * y),y * z,u). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). L(x,y,K(z * u,z)) != w | w = L(x,y,K(u,z)). L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | a(y,z,y) * (u / w) = x. a(x,y,x) * (((z * u) * w) / (u * w)) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). R(x * a(y,x,y),z,u) * y != w | T(y * R(x,z,u),y) = w. T(x * R(y,z,u),x) = a(x,y,x) * (R(y,z,u) * x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). x * (y * z) != T(z * y,z) | a(z,y,z) = x. a(x,R(y,z,u),x) = a(x,y,x). a(x,y,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). x != a(y,z,y) * T(y,u) | R(T(y,u),z,y) = x. R(T(x,y),z,x) = R(T(x,y),R(z,u,w),x). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,T(y,x)) = u. L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). a(x,y,z) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(a(x,y,x) * z,u,w) != v5 | v5 = a(z,u,w). a(a(x,y,x) * z,u,w) != v5 | a(z,u,w) = v5. a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(R(x,y,x),z,u) = a(x,z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(x * y,z,u) = a(L(x,w,x) * y,z,u). a(L(x,y,x) * z,u,w) = a(x * z,u,w). a(x,y,z) = a(L(x,u,x),y,z). a(L(x,y,x),z,u) = a(x,z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). a(K(x,x \ y),z,u) = a(K(y,x \ y),z,u). a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). x != a(K(y,y \ z),u,w) | a(K(y,z),u,w) = x. a(K(x,y),z,u) = a(K(y,x \ y),z,u). a(K(x,y \ x),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y \ x,x),z,u). a(K(x \ y,y),z,u) = a(K(y,x),z,u). a(K(x \ y,y),z,u) != w | a(K(x \ 1,y),z,u) = w. a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y,x \ 1),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). a(K(x,y \ 1),z,u) != w | K(y \ 1,x) * K(x,R(y,z,u) \ 1) = w. K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). a(K(x,y \ 1),z,u) != w | a(K(y,x),z,u) = w. a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != a(K(y \ 1,z),u,w) | a(K(z,y),u,w) = x. a(K(R(x,y,z),u),w,v5) = a(R(K(x,u),(u * x) * y,z),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). x != a(K(R(y,z,u),w),v5,v6) | a(K(y,R(w,z,u)),v5,v6) = x. a(K(x,R(y,z,u)),w,v5) = a(K(x,R(y,x * z,u)),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). x != K(y,L(L(y,z,u),w,v5) / v6) | K(y,v6 \ L(L(y,z,u),w,v5)) = x. K(x,y \ L(L(x,z,u),w,v5)) = K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ K(z,L(L(x,u,w),v5,v6))) != v7 | K(x,y \ 1) = v7. K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ L(L(T(x,x \ z),z,x),u,w)) != v5 | K((x \ z) \ T(z,x),y \ L((x \ z) \ T(z,x),u,w)) = v5. K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) != v5 | K(x,z \ L(x,u,w)) = v5. K(x,y \ L(x,z,u)) = K(x,y \ L(L(x,w,x),z,u)). K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). R(K(x,y / (z * y)),R(1 / z,z,y),u) != w | K(x,z \ 1) = w. K(x * (y / (z * y)),z \ 1) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). ((x \ T(x * (y / z),u)) * z) / y != w | K((((x \ 1) * z) / y) \ 1,u) = w. K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). K(((x * y) / z) \ 1,z / y) != u | K(x \ (z / y),(y / z) \ 1) = u. K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). K(x \ (y / (z * y)),z \ 1) != u | K(x \ ((z * y) \ y),z \ 1) = u. K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). x != K(y * (z / (u * z)),u \ 1) | K(y * ((u * z) \ z),u \ 1) = x. K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ ((y * z) \ z),y \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) != u | K(x \ (y \ 1),y \ 1) = u. K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x * (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). x != K(y * (z \ 1),z \ 1) | K(z \ y,z \ 1) = x. K(x \ y,x \ 1) = K(y * ((x * z) \ z),x \ 1). K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). K(x * ((y * z) \ z),y \ 1) != u | K(x * R(y \ 1,y,z),y \ 1) = u. K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). T(K(x \ y,x \ 1) / x,y) != z | R(1 / x,y,x \ 1) = z. R(1 / x,y,x \ 1) = R(1 / x,y,z / (x * z)). R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). R(1 / (x / y),z,y / x) = R(1 / (x / y),z,(x / y) \ 1). R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). x != (1 / y) \ R(1 / y,z,u) | y * R(y \ 1,z,u) = x. (x / y) * R((x / y) \ 1,z,y / x) = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | (y * R(y \ z,u,w)) / z = x. (x * R(x \ y,z,y / x)) / y = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | a(y \ z,u,y \ z) = x. a(x \ y,z,x \ y) = T(a(1 / (x / y),z,1 / (x / y)),u). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). T(a(1 / x,y,z),x \ 1) != u | a(x \ 1,y,z) = u. a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). a((x / y) \ 1,z,(x / y) \ 1) != u | K((y \ x) \ z,y / x) * K(y / x,z) = u. K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). (x * (y * z)) \ (((x * y) * z) * L(((x * y) * z) \ (x * (y * z)),u,w)) = a(x,y,z) \ L(a(x,y,z),u,w). (x * (y * z)) \ ((x * y) * (z * L(z \ ((x * y) \ (x * (y * z))),u,w))) = a(x,y,z) \ L(a(x,y,z),u,w). (x * (y * z)) \ ((x * y) * (z * L(z \ L(z,y,x),u,w))) = a(x,y,z) \ L(a(x,y,z),u,w). (x * (y * z)) \ (((x * y) * z) * R(((x * y) * z) \ (x * (y * z)),u,w)) = a(x,y,z) \ R(a(x,y,z),u,w). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). K(x \ 1,y) * K(y,R(x,z,u) \ 1) != w | a(K(y,x \ 1),z,u) = w. a(K(x,R(y,z,u) \ 1),w,v5) = R(K(y \ 1,x) * K(x,R(y,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). x != a(K(y,R(z,u,w) \ 1),v5,v6) | a(K(z,R(y,u,w)),v5,v6) = x. a(K(x,R(y,z,u)),w,v5) = R(K(x \ 1,y) * K(y,R(x,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | L(z,y,z) = x. L(x,y / z,x) = L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). (L(1 / x,y,z) \ 1) / x != u | L(1 / x,y,z) \ (1 / x) = u. L(1 / x,y,z) \ (1 / x) = 1 / (x * L(x \ 1,y,z)). 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). x != L(1 / y,z,u) \ (1 / y) | L(y \ 1,z,u) \ (y \ 1) = x. L(x \ 1,y,z) \ (x \ 1) = 1 / (x * L(x \ 1,y,z)). 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). x != L((y \ 1) \ 1,z,u) \ ((y \ 1) \ 1) | L(y,z,u) \ y = x. L(x,y,z) \ x = 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)). 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) \ 1 = x \ L(x,y,z). K(x \ L(x,y,z),u) = (L(x,y,z) \ x) * T(x \ L(x,y,z),u). (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ ((L(x,y,z) \ x) \ u)) = (x \ L(x,y,z)) \ u. x \ y != (L(z,u,w) \ z) \ 1 | x * (z \ L(z,u,w)) = y. (L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x)) * (x \ L(x,y,z)) = L(L(x,y,z) \ x,u,w) \ 1. (x \ L(x,y,z)) \ (L(x,y,z) \ x) = (L(x,y,z) \ x) * (L(x,y,z) \ x). a(x,x,y) \ 1 = y \ L(y,x,x). (x \ (y \ ((1 / y) \ x))) \ 1 = (y \ (y \ x)) \ L(y \ (y \ x),y,y). (x \ (x \ y)) \ L(x \ (x \ y),x,x) = (y \ (x \ ((1 / x) \ y))) \ 1. (a(x,x,y) \ 1) * y = L(y,x,x). L(x,L(y,z,z),u) = L(x,a(z,z,y) * y,u). L(x,a(y,y,z) * z,u) = L(x,L(z,y,y),u). L(x,a(y,y,(y \ 1) * z) * ((y \ 1) * z),u) = L(x,(1 / y) * L(z,y,y),u). K(x \ L(x,y,z),K(u,w)) = (L(x,y,z) \ x) * T(x \ L(x,y,z),K(w,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) != z | (1 / ((x * y) \ x)) / y = z. (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). x != y / (z * ((u * z) \ u)) | (z * ((u * z) \ u)) \ y = x. (x * ((y * x) \ y)) \ 1 = (1 / ((y * x) \ y)) / x. (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. (1 / ((x * y) \ x)) / y != z | y \ (1 / ((x * y) \ x)) = z. x \ (1 / ((y * x) \ y)) = (x * ((y * x) \ y)) \ 1. (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). (x * ((y * x) \ y)) \ T(x,z) = ((x * ((y * x) \ y)) \ 1) * T(x,z). ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). (x \ (1 / ((y * x) \ y))) * T(x,z) != u | T((1 / ((y * x) \ y)) * K(x,z),x) = u. T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) != u | T(1 / ((x * y) \ x),z) = u. T(1 / ((x * y) \ x),z) = (y * ((x * y) \ x)) \ T(y,z). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). (x * ((y * x) \ y)) \ T(x,z) != u | 1 / ((y * T(x,z)) \ y) = u. 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). (x \ (x \ y)) \ ((x * x) \ y) = (y \ (x \ ((1 / x) \ y))) \ 1. (x \ (y \ ((1 / y) \ x))) \ 1 = (y \ (y \ x)) \ ((y * y) \ x). x != (y \ z) \ ((y * y) \ u) | ((y \ 1) \ z) \ u = x. ((x \ 1) \ (x \ y)) \ y = (y \ (x \ ((1 / x) \ y))) \ 1. (x \ (y \ ((1 / y) \ x))) \ 1 = ((y \ 1) \ (y \ x)) \ x. (x \ (y \ ((1 / y) \ x))) \ 1 = (y \ ((1 / y) \ x)) \ x. a(x,x,x \ (x \ y)) \ 1 = (x \ ((1 / x) \ y)) \ y. (x * (L(y,z,u) \ y)) / L(y \ L(y,z,u),(L(y,z,u) \ y) * (L(y,z,u) \ y),x) = x * ((L(y,z,u) \ y) / (y \ L(y,z,u))). K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. K(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(u * x,w)). K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). x != K(y,K(z,u)) | K(z,K(u,y)) = x. K(x,K(y,z \ L(z,u,w))) = K(z \ L(z,u,w),K(x * z,y)). K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). K(x \ L(x,y,z),K(u * x,w)) != v5 | K(w,K(x * u,x \ L(x,y,z))) = v5. K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). K(x,K(y,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). K(x,K((y * z) * u,u \ L(u,z,y))) != w | K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = w. K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | K(y,K(z * u,a(z,u,w))) = x. K(x,K(y * z,a(y,z,u))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). (x * (L(y,z,u) \ y)) / (y \ L(y,z,u)) = x * ((L(y,z,u) \ y) / (y \ L(y,z,u))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). K((x * (K(y,x) / T(x,z))) \ 1,u * (K(w,u) / T(u,v5))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). x != K((y * z) \ 1,y * z) | K(y \ (z \ 1),z * y) = x. K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). x != y / K(z,T(u,w)) | y * K(u,T(z,w)) = x. (K(x,y * z) * z) * K(y,T(x,z)) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). x != (K(y,z) * u) * K(w,T(y,v5)) | K(y,z) * (u * K(w,T(y,v5))) = x. K(x,y * z) * (z * K(y,T(x,z))) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). K(x,y * z) * (K(y,x) * z) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. (a(x,y,L(x,z,u)) \ 1) \ w = w * a(L(x,z,u),y,L(x,z,u)). x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. x != (a(y,z,L(y,u,w)) \ 1) \ 1 | a(L(y,u,w),z,L(y,u,w)) = x. a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). a(x,y,x) = a(L(x,z,u),y,L(x,z,u)). a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). a(L(x,y / x,z),u,L(x,y / x,z)) != w | L(a(x,u,x),y,z) = w. L(a(x,y,x),z,u) = a(x,y,x). L(a(x,y,x),y,z) != u | a(x,y * K(z,y),x) = u. a(x,y * K(z,y),x) = a(x,y,x). a(x,y,a(z,u,z)) = 1. x \ y != L(a(z,u,z),w,v5) | x * a(z,u,z) = y. (x * y) * a(z,u,z) = x * (y * a(z,u,z)). x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). (x * (a(y,z,y) * u)) / a(y,z,y) = x * u. L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x \ y != 1 | x * a(z,u,a(w,v5,w)) = y. x * a(y,z,a(u,w,u)) = x. x * a(y,z,a(u,w,u)) != v5 | x = v5. a(x,y * K(z,y),u) != w | a(x,T(y,z),u) = w. a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). x != a(y,z,y) | K(y * z,T(T(y,u),w)) * K(y,T(T(z,u),w)) = x. K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,T(y,w),x). a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). a(x,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). a(x,(y * z) \ (u * z),x) = a(x,R(u / y,y,z),x). a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). a(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). R(x,y,a(z,u,z)) = x. ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). R(x,y,a(z,u,z)) != w | x = w. (x * y) \ ((x * (y * z)) * a(u,w,u)) = L(z,y,x) * a(u,w,u). x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). x \ y = (x \ (a(z,u,z) \ y)) * a(z,u,z). (x \ (a(y,z,y) \ u)) * a(y,z,y) = x \ u. a(x,y,x) * (z * u) = z * (a(x,y,x) * u). a(x,y,x) \ (z * (a(x,y,x) * u)) = z * u. a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). a(x,y,x) * (z * u) != w | (z * a(x,y,x)) * u = w. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). a(x,y,x) * (z * u) != w | (a(x,y,x) * z) * u = w. (a(x,y,x) * z) * u = z * (a(x,y,x) * u). (x * (a(y,z,y) * u)) * w = a(y,z,y) * ((x * u) * w). (x * (a(y,z,y) * u)) \ w = (x * u) \ (a(y,z,y) \ w). L(x,y,z * (a(u,w,u) * v5)) = L(x,y,z * v5). a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5). L(x \ L(x,y,z),u,x) = x * (a(x,u,x) \ L(x \ a(x,u,x),y,z)). x * (a(x,y,x) \ L(x \ a(x,y,x),z,u)) = L(x \ L(x,z,u),y,x). x \ 1 = a(y,z,y) \ (x \ a(y,z,y)). a(x,y,x) \ (z \ a(x,y,x)) = z \ 1. x / (a(y,z,y) * u) = (x / u) / a(y,z,y). (x / y) / a(z,u,z) = x / (a(z,u,z) * y). (x / L(y,z,y)) * u = (x / y) * (a(y,z,y) * u). (x / y) * (a(y,z,y) * u) = (x / L(y,z,y)) * u. a(x,y,x) \ (z / u) = z / (a(x,y,x) * u). x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / x) = z / R(x,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 | w = T(x,y). T(x,y * a(z,u,z)) != w | T(x,y) = w. x * y != T(z,u * a(w,v5,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = x \ T(x,y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z) / z) = T(x,z \ y). T(x,y * z) = T(x,y * L(z,u,z)). T(x,y * L(z,u,z)) = T(x,y * z). T(x,a(y,z,y) * u) = T(x,u). T(x,y \ z) = T(x,R(y,u,y) \ z). T(x,R(y,z,y) \ u) = T(x,y \ u). T(x,y * (z * a(u,w,u))) = T(x,y * z). T(x,y \ (z * a(u,w,u))) = T(x,y \ z). K(a(x,y,x) * z,u) = u / T(u,z). T(x,(y \ R(y,z,y)) * u) = T(x,u). T(x,K(y,z) * u) = T(x,K(y,y * z) * u). T(x,K(y,y * z) * u) = T(x,K(y,z) * u). K(T(x,y) / y,z) = z / T(z,y \ x). T(x,y / T(z,y)) = T(x,z \ y). T(x,y / (y \ z)) = T(x,(z / y) \ y). T(x,T(y,z \ u) / ((u \ z) \ 1)) = T(x,((u \ z) \ 1) \ y). (x * T(y,z \ u)) / (x * y) = K(y,T(T(u,z) / z,x)). K(x,T(T(y,z) / z,u)) = (u * T(x,z \ y)) / (u * x). K(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = K(x,y). K(x,y * a(z,u,z)) != w | K(x,y) = w. K(x,y * (z \ R(z,u,z))) = K(x,y). K(x,T(y,z) / z) = K(x,z \ y). K(x,a(y,z,y) * u) = K(x,u). K(x,y * R(z,u,z)) = K(x,y * z). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,R(y,z,y) * u) = K(x,y * u). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). a((a(x,x,x) * y) * K(x \ 1,y),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). K(x,K(y,y \ z) * u) = K(x,K(y,z) * u). K(x,y * z) = K(x,(a(u,w,u) \ y) * z). 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 / T(z,y)) = K(x,z \ y). K(T(x,y),x \ y) * (((T(y,x) / x) \ y) \ z) = (y / (T(y,x) / x)) \ z. T(T(x,K(y,z \ u)),y * (T(u,z) / z)) = T(x,(T(u,z) / z) * y). K(x,T(y * z,T(y,u) * (1 / u)) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). L(K(x,y \ z),u,w) = K(x,L(z / T(y,z),u,w)). K(x,L(y / T(z,y),u,w)) = L(K(x,z \ y),u,w). T(x,y * T(z,u)) = T(x,y * ((z \ u) \ u)). T(x,y * ((z \ u) \ u)) = T(x,y * T(z,u)). T(x,T(y,z) \ u) = T(x,T(y,y * z) \ u). T(x,T(y,y * z) \ u) = T(x,T(y,z) \ u). K(x,y) = K(a(z,u,z) * x,y). K(a(x,y,x) * z,u) = K(z,u). K(K(x,y) * z,u) = K(K(x,x * y) * z,u). K(K(x,x * y) * z,u) = K(K(x,y) * z,u). K(x * a(y,z,y),u) = K(x,u). K(x * y,z) = K(L(x,u,x) * y,z). K(L(x,y,x) * z,u) = K(x * z,u). K(R(x,y,x) * z,u) = K(x * z,u). K(T(x,y) / y,z) = K(y \ x,z). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). K(x \ y,z) = K(x \ (a(u,w,u) \ y),z). K(x \ (a(y,z,y) \ u),w) = K(x \ u,w). K(T(x,y) / y,z) != u | K(x / T(y,x),z) = u. K(x / T(y,x),z) = K(y \ x,z). K(L(T(x,y),z,u) / y,w) = K(y \ L(x,z,u),w). K(T(x,y) / z,u) = K(z \ T(x * K(z,x),y),u). K(x \ T(y * K(x,y),z),u) = K(T(y,z) / x,u). T(x * K(x / y,z),x) = x * K(y \ x,z). K(x / L(T(y,x),z,u),w) = K(L(y,z,u) \ x,w). K(x,y) = K(x,y / (z \ R(z,u,z))). K(x,y / (z \ R(z,u,z))) = K(x,y). 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,T(y,y \ z) \ u) = K(x,T(y,z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). K(x,L(R(y,z,y),u,w) \ v5) = K(x,L(y,u,w) \ v5). K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). K(T(x,y) * z,u) = K(((x \ y) \ y) * z,u). K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). K(T(x,x \ y) * z,u) = K(T(x,y) * z,u). K(x,(y \ R(y,z,y)) \ u) = K(x,u). L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). T(x,T(y,z) / z) != u | T(x,z \ y) = u. T(x,L(y,z,y) \ u) != w | T(x,y \ u) = w. T(x,((y \ z) * T(y,y \ z)) * (y \ z)) = T(x,(z / y) * (y * (y \ z))). K(T(x,y) / y,z) != u | K(y \ x,z) = u. T(x,y / (y \ z)) != u | T(x,y * (z \ y)) = u. T(x,y * (z \ y)) = T(x,(z / y) \ y). T(x,(y / z) \ z) = T(x,z * (y \ z)). T(x / (x \ y),T(z,(y / x) \ x)) != u | T(x / (x \ y),z) = u. K(x,T(y,z) / z) != u | K(x,z \ y) = u. T(x,y \ z) = T(x,z * ((y * z) \ z)). T(x,y * ((z * y) \ y)) = T(x,z \ y). K(((x / y) \ y) \ z,T(u,y * (x \ y))) != w | K(z / ((x / y) \ y),u) = w. T(x,y * ((z * u) * z)) = T(x,y * (z * (u * z))). T(x,y * T(z * u,z)) = T(x,y * (u * z)). T(x,y * (T(z,u) / u)) = T(x,y * (u \ z)). T(x,y * (z * u)) = T(x,y * (z * L(u,w,u))). T(x,y * (z * L(u,w,u))) = T(x,y * (z * u)). T(x,y \ R(z,u,z)) = T(x,y \ z). T(x,y \ T(z * u,z)) = T(x,y \ (u * z)). T(x,y \ (T(z,u) / u)) = T(x,y \ (u \ z)). T(x,y \ (z \ u)) = T(x,y \ (R(z,w,z) \ u)). T(x,y \ (R(z,u,z) \ w)) = T(x,y \ (z \ w)). T(x,y \ R(z \ 1,u,z)) = T(x,y \ (z \ 1)). T(x,y \ ((z \ u) \ u)) = T(x,y \ T(z,u)). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). K(x,K(y,z) * u) = K(x,K(z * y,z) * u). K(x,K(y * z,y) * u) = K(x,K(z,y) * u). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). K(x,(y * L(z,u,z)) * w) = K(x,(y * z) * w). K(x,(y / R(z,u,z)) * w) = K(x,(y / z) * w). K(x,y * T(z * u,z)) = K(x,y * (u * z)). K(x,y * (z * u)) = K(x,y * (L(z,w,z) * u)). K(x,y * (L(z,u,z) * w)) = K(x,y * (z * w)). K(x,y * (z * R(u,w,u))) = K(x,y * (z * u)). K(x \ y,z) = K(x \ R(y,u,y),z). K(x \ R(y,z,y),u) = K(x \ y,u). K(x \ T(y,z),u) = K(x \ T(y,y * z),u). K(x \ T(y,y * z),u) = K(x \ T(y,z),u). K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). T(x,y / T(z,y)) != u | T(x,z \ y) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. K(T(x,y / z) / T(z \ y,y),u) != w | K(T(z \ y,y) \ x,u) = w. T(x,y * T(z,z \ u)) = T(x,y * T(z,u)). T(x * y,x \ z) = T(x * y,T(x,y) \ z). T(x * y,T(x,y) \ z) = T(x * y,x \ z). T(x,K(y * z,y) * (y \ u)) = T(x,T(y,z) \ u). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). x \ T(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). K(x,K(y,z * T(u,w))) * K(x,y / (z * ((u \ w) \ w))) = K(x,(z * ((u \ w) \ w)) \ y). K(x,(y \ z) \ u) = K(x,T(z / y,z) \ u). K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). x != K(y,T(z,u) \ w) | K(y,T(z,z \ u) \ w) = x. K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). x != K(y,z) | (u * K(z,y)) \ u = x. (x * K(T(y,z) \ u,w)) \ x = K(w,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. L(K(x,T(y,z) \ u),y,y \ z) = K(x,z \ ((y \ z) * u)). K(x,T(((y \ z) \ z) * u,w)) = K((w * x) / w,T(y,z) * u). K((x * y) / x,T(z,u) * w) = K(y,T(((z \ u) \ u) * w,x)). x \ T(x,T(y,z) * u) = K(x,((y \ z) \ z) * u). K(x,((y \ z) \ z) * u) = x \ T(x,T(y,z) * u). K(x,(y \ z) * u) = K(x,T(z / y,z) * u). K(x,T(y / z,y) * u) = K(x,(z \ y) * u). T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. x * K(x,y * (z \ u)) = T(x,y * (T(u,z) / z)). T(x,y * (T(z,u) / u)) = x * K(x,y * (u \ z)). T(x,y * (z / T(u,z))) = T(x,y * (u \ z)). T(x,T(y,z * (u \ w)) * (z * (T(w,u) / u))) != v5 | T(x,(z * (T(w,u) / u)) * y) = v5. T(x,y \ T(z * u,u)) = T(x,y \ (T(z,u) * u)). T(x,y \ (z / T(u,z))) = T(x,y \ (u \ z)). T(x,y \ T(z \ 1,u * z)) = T(x,y \ T(z \ 1,u)). T(x,y \ ((z * u) * (1 / u))) = T(x,y \ T((u * z) * (1 / u),u * z)). T(x,y \ T((z * u) * (1 / z),z * u)) = T(x,y \ ((u * z) * (1 / 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)). x \ T(x,K(y,z) * u) = K(x,K(z * y,z) * u). K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). K(x,K(y \ z,y) * (z * u)) = K(x,T(z,y) * u). K(x,(y / z) \ u) = K(x,K(y,z) * ((z \ y) \ u)). K(x,K(y,z) * ((z \ y) \ u)) = K(x,(y / z) \ u). K(x \ (y \ z),u) = K(x \ T(z / y,z),u). K(x \ T(y / z,y),u) = K(x \ (z \ y),u). (x * K(y,(z \ u) \ w)) \ x = K(T(u / z,u) \ w,y). K(T(x / y,x) \ z,u) = (w * K(u,(y \ x) \ z)) \ w. T(T(x,y),K(y,(z \ u) * w)) != v5 | T(x,T(y,T(u / z,u) * w)) = v5. T(x,y \ (z / T(T(u,u \ z),z))) = T(x,y \ T(u \ z,u)). K(x,y \ ((z \ 1) \ T(u,z))) = K(x,y \ T((z \ 1) \ u,z)). K(x,y \ T((z \ 1) \ u,z)) = K(x,y \ ((z \ 1) \ T(u,z))). T(x,y * (z * L(u \ 1,w,v5))) = T(x,y * (z * L(1 / u,w,v5))). T(x,y * (z * L(1 / u,w,v5))) = T(x,y * (z * L(u \ 1,w,v5))). T(x,y \ ((z \ T(u * z,u)) \ w)) = T(x,y \ (u \ w)). T(x,y \ (T(z,u) \ w)) = T(x,y \ (T(z,z * u) \ w)). T(x,y \ (T(z,z * u) \ w)) = T(x,y \ (T(z,u) \ w)). K(x,y \ (z * T(u,w))) = K(x,y \ (z * T(u,u * w))). K(x,y \ (z * T(u,u * w))) = K(x,y \ (z * T(u,w))). K(x,(y * (z * y)) * u) = K(x,((y * z) * y) * u). K(x,((y * z) * y) * u) = K(x,(y * (z * y)) * u). K(x,(y * L(z \ 1,u,w)) * v5) = K(x,(y * L(1 / z,u,w)) * v5). K(x,(y * L(1 / z,u,w)) * v5) = K(x,(y * L(z \ 1,u,w)) * v5). K(x,(y * z) * u) = K(x,(y * R(z,w,z)) * u). K(x,(y * R(z,u,z)) * w) = K(x,(y * z) * w). K(x,(y * T(z,u)) * w) = K(x,(y * ((z \ u) \ u)) * w). K(x,(y * ((z \ u) \ u)) * w) = K(x,(y * T(z,u)) * w). K(x,y * (T(z / u,z) * w)) = K(x,y * ((u \ z) * w)). K(x,y * (T(z,u) * w)) = K(x,y * (((z \ u) \ u) * w)). K(x,y * (((z \ u) \ u) * w)) = K(x,y * (T(z,u) * w)). K(x,y * (z * ((u \ w) \ w))) = K(x,y * (z * T(u,w))). T(x,((y * z) \ y) \ u) != w | T(x,(y \ (y / z)) \ u) = w. K(x,T(y * z,y) * u) = K(x,(z * y) * u). K(x,(y * L(z \ 1,u,z)) * w) = K(x,(y * (1 / z)) * w). K(x,y * (y * z)) = K(x,(z * y) * y). K(x,(y * z) * z) = K(x,z * (z * y)). K(x,T(y,z) * u) = K(x,((z \ y) * z) * u). K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). K(x,(y \ (z * (y \ 1))) * u) = K(x,((y \ z) * (y \ 1)) * u). K(x,T(y / (y \ z),y) * u) = K(x,((((z \ y) \ 1) \ 1) * y) * u). K(x,(y * z) * z) != u | K(x,z * (z * y)) = u. K(x,y * (z \ y)) = K(x,(z \ y) * ((z \ y) * z)). K(x,(y \ z) * ((y \ z) * y)) = K(x,z * (y \ z)). L(x,y,(z / L(u,w,u)) * v5) = L(x,y,(z / u) * v5). K(x,L(y \ z,u,w)) = K(x,L(z / T(y,z),u,w)). K(x,L(y / T(z,y),u,w)) = K(x,L(z \ y,u,w)). a(x,y,x) * T(z,u) = T(z * a(x,y,x),u). T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). T(x,y * ((K(z,u) * w) * K(z,u))) = T(x,y * (T(z,u) * (z \ (w * K(z,u))))). T(x,y * (T(z,u) * (z \ (w * K(z,u))))) = T(x,y * ((K(z,u) * w) * K(z,u))). K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. T(x,((y \ z) \ z) * u) = T(x,T(y,z) * u). K(x,((y \ z) \ z) * u) != w | K(x,T(y,z) * u) = w. T(x,(y \ z) * u) = T(x,T(z / y,z) * u). T(x,T(y / z,y) * u) = T(x,(z \ y) * u). T(x,y * (y / z)) = T(x,(z \ y) * y). T(x,(y \ z) * z) = T(x,z * (z / y)). T(x,T(T(y / z,y),u) * w) = T(x,(z \ y) * (K(T(y / z,y),u) * w)). T(x,(y \ z) * (K(T(z / y,z),u) * w)) = T(x,T(T(z / y,z),u) * w). x \ y != T(z,(u \ w) * w) | x * T(z,w * (w / u)) = y. ((x \ y) * y) * T(z,y * (y / x)) = z * ((x \ y) * y). K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). T(x,y * (T(z,u) / u)) != w | T(x,y * (u \ z)) = w. K(x,y * ((z \ u) / z)) = K(x,y * (z \ (u / z))). K(x,y * (T(z,u) / w)) = K(x,y * (w \ T(z * K(w,z),u))). K(x,y * (z \ T(u * K(z,u),w))) = K(x,y * (T(u,w) / z)). K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). K(x,K(y,z * (u \ w))) * K(y,(z * (w / T(u,w))) / x) = K(y,x \ (z * (w / T(u,w)))). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). K(x,K(y * z,y) * u) != w | K(x,K(z,y) * u) = w. T(x,K(y,z) * u) = T(x,K(z \ y,z) * u). T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). K(K(x * y,x) * z,u) = u / T(u,K(y,x) * z). K(x,(((y \ z) * y) * (y \ z)) * u) = K(x,((y \ z) * z) * u). K(x,L(T(y,z) / z,u,w)) = K(x,L(z \ y,u,w)). K(K(x,y) * z,u) = K(K(y * x,y) * z,u). K(K(x * y,x) * z,u) = K(K(y,x) * z,u). K(K(x,y) * z,u) = K(K(y \ x,y) * z,u). K(K(x \ y,x) * z,u) = K(K(y,x) * z,u). K(K(x * y,y) * z,u) = K(K(x,y) * z,u). K((x * (y / x)) \ z,u) = K(K(y,x) * (y \ z),u). K((x * (y * x)) \ z,u) = K(K(y,x) * (((y * x) * x) \ z),u). K(K(x,y) * (((x * y) * y) \ z),u) = K((y * (x * y)) \ z,u). a(x,R(y / z,u,w),x) != v5 | a(x,R(z \ y,u,w),x) = v5. a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). L(x,y,(z * (u / z)) * w) = L(x,y,((z * u) / z) * w). L(x,y,((z * u) / z) * w) = L(x,y,(z * (u / z)) * w). K(x,T(y,y \ z) * u) != w | K(x,T(y,z) * u) = w. K(x,L((y \ 1) \ 1,z,u) * w) != v5 | K(x,T(L(y,z,u),1) * w) = v5. K(x,K(y * z,z) * u) != w | K(x,K(y,z) * u) = w. a(x,R(y,z,u),x) != w | a(x,y,x) = w. a(x,y \ z,x) = a(x,(y * u) \ (z * u),x). a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). (x / y) \ (a(y,z \ u,y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). a(x,y \ z,x) != u | a(x,z / y,x) = u. a(x,y / (z * y),x) = a(x,z \ 1,x). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). (x * (a(y,z,y) * (u * w))) \ (a(y,z,y) * ((x * u) * w)) = a(x,a(y,z,y) * u,w). L(L(x,y,a(z,u,z)),a(z,u,z) * y,w) = (w * y) \ (a(z,u,z) \ (w * (a(z,u,z) * (y * x)))). (x * y) \ (a(z,u,z) \ (x * (a(z,u,z) * (y * w)))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). x != (y * T(z,u)) / (y * z) | K(z,T(u,y)) = x. 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)). K(x,T(y / T(z,y),u)) = K(x,T(z \ y,u)). K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K((x \ y) \ z,u) = K(T(y / x,y) \ z,u). K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). K(T(x,y) \ z,u) = K(((x \ y) \ y) \ z,u). K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u). K(T(x,y) \ y,z) != u | K(y / x,z) = u. K(x,((y \ z) \ z) \ u) * a(w,v5,K(T(y,z) \ u,x)) = K(x,L(((y \ z) \ z) \ u,v5,w)). K(x \ T(y,x),z) != u | K(y / x,z) = u. K(x,(y * ((z * u) * (1 / u))) * w) = K(x,(y * T((u * z) * (1 / u),u * z)) * w). K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * ((u * z) * (1 / z))) * w). K(x,y * (T(z,z \ u) * w)) = K(x,y * (T(z,u) * w)). K(x,y * (z * (u \ w))) = K(x,y * (z * T(w / u,w))). K(x,y * (z * T(u / w,u))) = K(x,y * (z * (w \ u))). K(x,y * (z * ((u * w) * (1 / w)))) = K(x,y * (z * T((w * u) * (1 / w),w * u))). K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * ((w * u) * (1 / u)))). x != a(y,z / u,y) | a(y,u \ z,y) = x. a(x,(y * z) \ (y * (z * u)),x) = L(a(x,u,x),z * u,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). K(x,(y * z) \ u) = K(x,T(z * y,z) \ u). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). K(x,y / z) = K(x,T(z,y) \ y). K(x,T(y,z) \ z) = K(x,z / y). K(x,T(y,z) \ z) != u | K(x,z / y) = u. K(x,y \ T(z,y)) = K(x,z / y). K(x,T(y * z,y) \ T(u,z * y)) = K(x,u / T(y * z,y)). L(K(x,y / z),u,w) = K(x,L(z \ T(y,z),u,w)). K(x,L(y \ T(z,y),u,w)) = L(K(x,z / y),u,w). K(x,L(T(y,z),u,w) \ z) != v5 | K(x,z / L(y,u,w)) = v5. K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,L(y \ T(z,y),u,w)) != v5 | K(x,L(z / y,u,w)) = v5. K(x,L(T(y,z) \ u,y,y \ z)) = K(x,z \ ((y \ z) * u)). x * K(y,T(z,u)) != a(y,z,y) | K(y * z,T(y,u)) = x. K(x * (y \ z),T(x,z)) = K(x * (z / y),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). L(a(x,y,x),z,u) != w | a(x,y,x) = w. a(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = a(x,y,x). x \ y != a(z,L(u,w,v5),z) | x * a(z,u,z) = y. x * a(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = x * a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). a(x,y,x) \ x = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = a(x,y,x) \ x. x != y * a(y,z,y) | R(y,z,y) = x. R(x,y,x) = R(x,L(y,z,u),x). R(x,L(y,z,u),x) = R(x,y,x). x != a(y,z,y) \ y | L(y,z,y) = x. L(x,y,x) = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = L(x,y,x). L(x,y * z,x) = L(x,y \ z,x). L(x,y \ z,x) = L(x,y * z,x). L(x,y \ z,x) = L(x,(z \ y) \ 1,x). L(x,(y \ z) \ 1,x) = L(x,z \ y,x). L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). L(x,x \ y,x) != z | T(x * K(x \ y,x),y) = z. T(x * K(x \ y,x),y) = L(x,x * y,x). L(x,x \ y,x) != z | y / (T(y,x) / x) = z. x / (T(x,y) / y) = L(y,y * x,y). L(x,x * y,x) = y / (T(y,x) / x). x \ y != L(z,u \ w,z) | x * L(z,u * w,z) = y. x * L(y,y * x,y) = y * ((y \ x) * y). x / L(y,y * z,y) = x / (z / (T(z,y) / y)). L(x,(y \ z) \ 1,x) != u | L(x,(z / y) \ 1,x) = u. L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) != u | L(x,y / z,x) = u. L(x,y / z,x) = L(x,z \ y,x). x != L(y \ z,y \ z,y \ z) | T(y \ z,(z / y) \ 1) = x. T(x \ y,(y / x) \ 1) = L(x \ y,y / x,x \ y). L(x \ y,y / x,x \ y) = T(x \ y,(y / x) \ 1). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). L(x \ y,y / x,x \ y) != z | T(x \ y,y \ x) = z. K(x,y \ z) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). K(x,K(y * z,y) \ u) = K(x,K(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,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(T(y,z) * u,w)) = K(x,T(((y \ z) \ z) * u,w)). K(x,T(((y \ z) \ z) * u,w)) = K(x,T(T(y,z) * u,w)). K(x,T(T(y,y \ z) * u,w)) = K(x,T(T(y,z) * u,w)). K(x,T(T(y,z) * u,w)) = K(x,T(T(y,y * z) * u,w)). K(x,T(T(y,y * z) * u,w)) = K(x,T(T(y,z) * u,w)). K(x,T(T(T(y,T(y,z) * u),T(z,y)) * w,v5)) = K(x,T(T(T(y,z),u) * w,v5)). T(x,y \ (T(z,u) \ u)) = T(x,y \ T(z \ u,z)). T(x,y \ T(z \ u,z)) = T(x,y \ (T(z,u) \ u)). K(x,(y * T(z \ y,z)) * u) = K(x,((z \ y) * y) * u). x != (y / z) \ (a(z,u,z) \ y) | L(z,u,z) = x. L(x,y \ z,x) = L(x,(y * u) \ (z * u),x). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). K(x,(y * z) \ T(u,y * z)) = K(x,u / T(z * 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,y / T(z * u,z)) != w | K(x,y / (u * z)) = w. K(x,y / T(z,u)) = K(x,y / ((u \ z) * u)). K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). (x * K(y,z / (u * w))) \ x = K(z / T(w * u,w),y). K(x / T(y * z,y),u) = (w * K(u,x / (z * y))) \ w. x \ y != K(z,u / ((w \ v5) * w)) | x * K(z,u / T(v5,w)) = y. x * K(x,y / T(z,u)) = T(x,y / ((u \ z) * u)). 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 * u)) = T(x,y / T(u * z,u)). T(x,y / T(z * u,z)) = T(x,y / (u * z)). K(x / (y * z),u) = K(x / T(z * y,z),u). K(x / T(y * z,y),u) = K(x / (z * y),u). K(x / T(y * z,y),u) != w | K(x / (z * y),u) = w. K(x / T(y,z),u) = K(x / ((z \ y) * z),u). K(x / ((y \ z) * y),u) = K(x / T(z,y),u). K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). T(K(x * y,T(x,z)),u) = K(x * T(y,u),T(x,z)). K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). K(x * T(y,z),T(x,u)) = T(K(x * y,x) * K(x,K(y,u)),z). T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). L(x,R(y * K(z,y),u,w),x) != v5 | L(x,R(y,u,w),x) = v5. L(x,R(y,z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). L(x,(y * z) \ (u * z),x) != w | L(x,y \ u,x) = w. L(x,y \ (y * z),x) = L(x,R(z,y,u),x). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). a(x,y,x) \ L(z,u,w) = L(a(x,y,x) \ z,u,w). L(a(x,y,x) \ z,u,w) = a(x,y,x) \ L(z,u,w). T(x,y * (z * L(1 / z,u,w))) = T(x,y * (z \ L(z,u,w))). K(x,T(y / z,y) * u) != w | K(x,(z \ y) * u) = w. K(x,((y \ z) \ y) * u) = K(x,((((z \ y) \ 1) \ 1) * y) * u). K(x,((((y \ z) \ 1) \ 1) * z) * u) = K(x,((z \ y) \ z) * u). x * L(a(x,y,x) \ (x \ a(x,y,x)),z,u) = L(x \ L(x,z,u),y,x). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). x = L(x,K(y \ x,z),x). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. x * L(x \ 1,y,z) = L(x \ L(x,y,z),u,x). L(x \ L(x,y,z),u,x) = x * L(x \ 1,y,z). x \ L(x,y,z) = L(x \ L(x,y,z),u,x). L(x \ L(x,y,z),u,x) = x \ L(x,y,z). L(x \ L(x,y,z),u,x) != w | L(x \ L(x,y,z),u,L(x,v5,v6)) = w. L(x \ L(x,y,z),u,L(x,w,v5)) = x \ L(x,y,z). x \ y != L(z \ L(z,u,w),v5,z) | x * (z \ L(z,u,w)) = y. x * (y \ L(y,z,u)) = y * ((y \ x) * (y \ L(y,z,u))). x * ((x \ y) * (x \ L(x,z,u))) = y * (x \ L(x,z,u)). (x * y) * (x \ L(x,z,u)) = x * (y * (x \ L(x,z,u))). L(T(x \ L(x,y,z),u),w,x) = T(x \ L(x,y,z),u). L(x \ L(x,y,z),u,w) = L(L(x \ L(x,y,z),u,w),v5,x). L(L(x \ L(x,y,z),u,w),v5,x) = L(x \ L(x,y,z),u,w). (x * y) * (x \ L(x,z,u)) != w | x * (y * (x \ L(x,z,u))) = w. (x * y) * L(x \ L(x,z,u),w,v5) = x * (y * L(x \ L(x,z,u),w,v5)). x \ L(x \ L(x,y,z),u,w) = (x \ 1) * L(x \ L(x,y,z),u,w). (x \ 1) * L(x \ L(x,y,z),u,w) = x \ L(x \ L(x,y,z),u,w). x * y != L(x,z,u) * (x \ L(x,w,v5)) | L(x,z,u) * L(x \ 1,w,v5) = y. L(x,y,z) * L(x \ 1,u,w) = (x \ L(x,y,z)) * (x \ L(x,u,w)). (x \ L(x,y,z)) * (x \ L(x,u,w)) = L(x,y,z) * L(x \ 1,u,w). (L(x,y,z) * (x \ L(x,y,z))) \ u = ((x \ L(x,y,z)) * (x \ L(x,y,z))) \ (x \ u). ((x \ L(x,y,z)) * (x \ L(x,y,z))) \ (x \ u) = (L(x,y,z) * (x \ L(x,y,z))) \ u. R(x,y,x \ L(x,z,u)) = x. R(x,y,z \ L(z,u,w)) != v5 | R(x,y,z * L(z,u,w)) = v5. R(x,y,x * L(x,z,u)) = x. 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 * L(x,y,z)) \ ((x * (L(x,y,z) * (x * L(x,y,z)))) * u) = (1 / (x * L(x,y,z))) \ u. x \ y != L(L(z \ L(z,u,w),v5,v6),v7,z) | x * L(z \ L(z,u,w),v5,v6) = y. (x \ L(x,y,z)) * L(x \ L(x,u,w),v5,v6) = x * (L(x \ 1,y,z) * L(x \ L(x,u,w),v5,v6)). x * (L(x \ 1,y,z) * 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 * (y * z)),u,z) = L(z \ L(z,y,x),z,x * y). a(x,y * (y * L(y \ L(y,z,u),w,v5)),v6) = a(x,L(y \ L(y,z,u),w,v5),v6). (1 / x) * L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w) = ((x \ 1) \ 1) \ L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w). ((x \ 1) \ 1) \ L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w) = (1 / x) * L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w). L(x,y,z) * (x \ L(x \ L(x,u,w),v5,v6)) = x * (L(x \ 1,y,z) * L(x \ L(x,u,w),v5,v6)). x * (L(x \ 1,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)) * (x \ L(x,y,z)) != u | (L(x,y,z) \ x) \ (x \ L(x,y,z)) = u. (L(x,y,z) \ x) \ (x \ L(x,y,z)) = L(x,y,z) * L(x \ 1,y,z). (L(x,y,z) * L(x \ 1,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = L((x \ L(x,y,z)) \ 1,u,w) \ v5. K(x,y / x) * (((T(y,x) / x) \ y) \ z) = (y / (T(y,x) / x)) \ z. K(x,x \ y) * (((T(y,x) / x) \ y) \ z) = (y / (T(y,x) / x)) \ z. K(x,x \ y) * (T(x,y) \ z) = (y / (T(y,x) / x)) \ z. T(x,y) \ K(x,x \ y) = (y / (T(y,x) / x)) \ 1. T(x,y * (z \ y)) = T(x,(y / z) * (z * (z \ y))). T(x,(y / z) * (z * (z \ y))) = T(x,y * (z \ y)). T(x,(y / z) * y) = T(x,y * (z \ y)). T(x,(T(y,z \ y) / T(z,y)) * (y * (T(y,z) / z))) = T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))). T(x,(y \ z) * (K(y \ z,u) * w)) = T(x,T(T(z / y,z),u) * w). T(x,T(y \ z,u) * w) = T(x,T(T(z / y,z),u) * w). T(x,T(T(y / z,y),u) * w) = T(x,T(z \ y,u) * w). (x * y) * (((z * u) * x) \ (z * (u * x))) = x * (y * L(x \ L(x,u,z),x,z * u)). R(x * (x * L(x \ L(x,y,z),u,w)),v5,v6) = (x * x) * L(R(x \ L(x,y,z),v5,v6),u,w). L(x,y \ (z * (z * L(z \ L(z,u,w),v5,v6))),v7) = L(x,y \ L(z \ L(z,u,w),v5,v6),v7). a(a(x,x,x) * (y * K(x \ 1,y)),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). x != T(y,z * ((u * w) * u)) | T(y,z * (u * (w * u))) = x. T(x,y * (K(z,u) * (w * K(z,u)))) = T(x,y * (T(z,u) * (z \ (w * K(z,u))))). T(x,y * (T(z,u) * (z \ (w * K(z,u))))) = T(x,y * (K(z,u) * (w * K(z,u)))). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). L(x,R(y,z,u),x) != w | L(x,y,x) = w. L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). K(x,T(T(T(y,y * z),T(u,y)) * w,v5)) = K(x,T(T(T(y,u),z) * w,v5)). K(x,T(T(T(y,z),y * u) * w,v5)) = K(x,T(T(T(y,z),u) * w,v5)). K(x,T(T(y \ 1,z) * u,w)) = K(x,T(T(T(y \ 1,z),y) * u,w)). K(x,T(T(T(y \ 1,z),y) * u,w)) = K(x,T(T(y \ 1,z) * u,w)). a(x,L(y * L(y,z,u),w,v5),v6) = a(x,L(y \ L(y,z,u),w,v5),v6). a(x,L(y \ L(y,z,u),w,v5),v6) = a(x,L(y * L(y,z,u),w,v5),v6). a(x,L(y \ L(y,z,u),w,v5),v6) != v7 | a(x,L(y,w,v5) * L(L(y,w,v5),z,u),v6) = v7. a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) = a(x,L(y * L(y,w,v5),z,u),v6). T(x,y * (T(z,u) * ((z \ w) * K(z,u)))) = T(x,y * (K(z,u) * (w * K(z,u)))). L((a(x,y,x) \ (z * (a(x,y,x) * (u * w)))) \ ((z * u) * w),a(x,y,x) \ (z * (a(x,y,x) * (u * w))),a(x,y,x)) = a(z,a(x,y,x) * u,w). x != K(y,z * (u * (w * (1 / v5)))) | K(y,z * (u * (w * (v5 \ 1)))) = x. K(x,y * (z * ((u * w) * (w \ 1)))) = K(x,y * (z * T((w * u) * (1 / w),w * u))). K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * ((w * u) * (u \ 1)))). (L(x,y,z) * L(x \ 1,y,z)) \ (x \ u) = (L(x,y,z) * (x \ L(x,y,z))) \ u. K(x,y * (z * T((u * w) * (1 / u),u * w))) = K(x,y * (z * R(w,u,u))). ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). R(x,y,z * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). R(x,y,z) = R(x,y,z * a(u,w,u)). R(x,y,z * a(u,w,u)) = R(x,y,z). R(x,y,T(z,u) / u) = R(x,y,u \ z). R(x,y,z / T(u,z)) = R(x,y,u \ z). K(x,T(y,z) \ u) * a(w,v5,K(T(y,z) \ u,x)) = K(x,L(((y \ z) \ z) \ u,v5,w)). K(x,L(T(y,z) \ u,w,v5)) = K(x,L(((y \ z) \ z) \ u,w,v5)). K(x,L(((y \ z) \ z) \ u,w,v5)) = K(x,L(T(y,z) \ u,w,v5)). K(x,L(((y \ z) \ z) \ u,w,v5)) != v6 | K(x,L(T(y,z) \ u,w,v5)) = v6. K(x,L(((y * z) * (1 / z)) \ u,w,v5)) = K(x,L(T((z * y) * (1 / z),z * y) \ u,w,v5)). K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(((z * y) * (1 / y)) \ u,w,v5)). (x * L(x,y,z)) \ ((x * (x * (L(x,y,z) * L(x,y,z)))) * u) = (1 / (x * L(x,y,z))) \ u. L(x,y \ L(z * L(z,u,w),v5,v6),v7) = L(x,y \ L(z \ L(z,u,w),v5,v6),v7). L(x,y \ L(z \ L(z,u,w),v5,v6),v7) = L(x,y \ L(z * L(z,u,w),v5,v6),v7). x != K(y,L((z * (1 / u)) \ w,v5,v6)) | K(y,L((z * (u \ 1)) \ w,v5,v6)) = x. K(x,L(((y * z) * (z \ 1)) \ u,w,v5)) = K(x,L(T((z * y) * (1 / z),z * y) \ u,w,v5)). K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(((z * y) * (y \ 1)) \ u,w,v5)). (x * L(x,y,z)) \ ((x * x) * ((L(x,y,z) * L(x,y,z)) * u)) = (1 / (x * L(x,y,z))) \ u. K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) = K(x,L(R(z,y,y) \ u,w,v5)). (x * y) \ ((x * x) * z) != u | ((1 / x) * y) \ z = u. ((1 / x) * L(x,y,z)) \ ((L(x,y,z) * L(x,y,z)) * u) = (1 / (x * L(x,y,z))) \ u. x \ y != (1 / x) \ (x \ z) | (x \ 1) \ z = y. ((x * L(x,y,z)) \ 1) \ u = (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)) * ((x * L(x,y,z)) \ u)) = ((x * L(x,y,z)) \ 1) \ u. (x \ L(x,y,z)) \ ((L(x,y,z) * L(x,y,z)) * u) = (1 / (x * L(x,y,z))) \ u. L(x,y,z) \ (x \ 1) = 1 / (x * L(x,y,z)). 1 / (x * L(x,y,z)) = L(x,y,z) \ (x \ 1). x != L(y,z,u) \ (y \ w) | y \ (L(y,z,u) \ w) = x. x \ (L(x,y,z) \ 1) = 1 / (x * L(x,y,z)). 1 / (x * L(x,y,z)) = x \ (L(x,y,z) \ 1). (x \ (L(x,y,z) \ 1)) \ 1 = x * L(x,y,z). (x * x) * ((x * (L(x,y,z) \ 1)) \ u) = ((x * L(x,y,z)) \ 1) \ u. (x * x) * ((L(x,y,z) \ x) \ u) = ((x * L(x,y,z)) \ 1) \ u. L(x,y,z) \ (x \ 1) = (x * L(x,y,z)) \ 1. (x * L(x,y,z)) \ 1 = L(x,y,z) \ (x \ 1). x \ (L(x,y,z) \ 1) = (x * L(x,y,z)) \ 1. (x * L(x,y,z)) \ 1 = x \ (L(x,y,z) \ 1). (x * y) \ (a(z,u,z) \ (x * (a(z,u,z) * (y * w)))) = L(w,a(z,u,z) * y,x). (x * y) \ (x * (y * z)) = L(z,a(u,w,u) * y,x). L(x,a(y,z,y) * u,w) = (w * u) \ (w * (u * x)). L(x,y,z) = L(x,a(u,w,u) * y,z). L(x,a(y,z,y) * u,w) = L(x,u,w). L(x,R(y,z,y),u) = L(x,y,u). L(x,T(y * z,y),u) = L(x,z * y,u). L(x,y * a(z,u,z),w) = L(x,y,w). L(x,y,z) = L(x,L(y,u,y),z). L(x,L(y,z,y),u) = L(x,y,u). x != L(y,z,u) | L(y,L(z,w,z),u) = x. L(x,L(y,z,y),u) = L(x,L(y,w,y),u). x != L(y,z,u) | L(y,R(z,w,z),u) = x. L(x,R(y,z,y),u) = L(x,L(y,w,y),u). x != L(y,z,L(u,w,u)) | L(y,z,u) = x. L(x,y,z) = L(x,L(y,u,y),L(z,w,z)). L(x,L(y,z,y),L(u,w,u)) = L(x,y,u). L(x,T(y / z,y),u) = L(x,z \ y,u). L(x,((y \ z) * y) * (y \ z),u) = L(x,(y \ z) * z,u). L(x,y * z,y) = L(x,z * y,y). L(x,y * z,z) = L(x,z * y,z). L(x,y / (T(y,z) / z),u) = L(x,L(z,w,z),u). L(x,L(y,z,y),u) = L(x,w / (T(w,y) / y),u). (R(x,y,x) * z) \ (z * u) = L(T(R(x,y,x),z) \ u,L(x,w,x),z). L(T(R(x,y,x),z) \ u,L(x,w,x),z) = (R(x,y,x) * z) \ (z * u). L(x,y / z,y) = L(x,z \ y,y). x * y != L(z,u / (T(u,w) / w),v5) | x \ L(z,L(w,v6,w),v5) = y. (x / (T(x,y) / y)) \ L(z,L(y,u,y),x / (T(x,y) / y)) = ((x / (T(x,y) / y)) \ 1) * z. L(x,y * T(z \ y,z),u) = L(x,(z \ y) * y,u). L(R(T(x,y),z,x) \ u,L(x,w,x),y) = (R(x,z,x) * y) \ (y * u). L(R(T(x,y),x \ y,x) \ z,L(x,u,x),y) = ((x * (y / x)) * x) \ (y * z). L(T(x,x \ y) \ z,L(x,u,x),y) = ((x * (y / x)) * x) \ (y * z). L(x,L(y,z,y),u) != w | L(x,y,u) = w. L(T(x,x \ y) \ z,x,y) = ((x * (y / x)) * x) \ (y * z). ((x * (y / x)) * x) \ (y * z) = L(T(x,x \ y) \ z,x,y). ((x * (y / x)) * x) \ (y * L(T(x,x \ y),z,u)) != w | y \ ((y / T(x,x \ y)) * L(T(x,x \ y),z,u)) = w. x \ ((x / T(y,y \ x)) * L(T(y,y \ x),z,u)) = L(T(y,y \ x) \ L(T(y,y \ x),z,u),y,x). L(T(x,x \ y) \ L(T(x,x \ y),z,u),x,y) = y \ ((y / T(x,x \ y)) * L(T(x,x \ y),z,u)). (x / (T(x,y) / y)) \ L(z,L(y,u,y),L(y,w,y)) = ((x / (T(x,y) / y)) \ 1) * z. (x / (T(x,y) / y)) \ L(z,y,y) = ((x / (T(x,y) / y)) \ 1) * z. x * (L(x \ 1,y,z) * L(x \ L(x,u,w),v5,v6)) != v7 | (x \ L(x,y,z)) * L(x \ L(x,u,w),v5,v6) = v7. (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 * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | K(w,(y * z) \ u) = x. K(x,(y * z) \ u) = K(x,(y * (z * a(w,v5,w))) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). a(x,(y * z) \ u,x) != w | a(x,z \ (y \ u),x) = w. a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ 1,x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). L(T(x \ L(x,y,z),x \ u),x,u) = u \ ((u / T(x,x \ u)) * L(T(x,x \ u),y,z)). x \ ((x / T(y,y \ x)) * L(T(y,y \ x),z,u)) = L(T(y \ L(y,z,u),y \ x),y,x). (L(x,y,z) * L(x \ 1,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = L(L(x,y,z) \ x,u,w) \ v5. ((x \ 1) \ 1) \ L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w) = (1 / x) * L((x \ 1) \ L(x \ 1,y,z),u,w). ((x \ 1) \ 1) \ L(((x \ 1) \ 1) \ L((x \ 1) \ 1,y,z),u,w) = (1 / x) * L(x \ L(x,y,z),u,w). ((x \ 1) \ 1) \ L((x \ 1) \ L(x \ 1,y,z),u,w) = (1 / x) * L(x \ L(x,y,z),u,w). ((x \ 1) \ 1) \ L(x \ L(x,y,z),u,w) = (1 / x) * L(x \ L(x,y,z),u,w). R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | T(y * K(u,z),z) = x. T(K(x,y) * K(y,z),z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). K(x,T(T((y * z) * (u / (y * z)),y * z),z * ((y * z) \ u))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). T(K(x,y) * K(y,K(z,u)),w) = T(K(x,y),w) * K(y,K(z,T(u,w))). T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). T(x,y) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | T(K(y,z) * u,y) = x. T(K(x,x * y) * (x * L(y,z,u)),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). T(T(x,x * y) * L(y,z,u),x) != w | T(x * L(y,z,u),x * y) = w. T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y. (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). a(x,y,K(z,u)) = K(z * L(u,y,x),z * u). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). 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)). K(x,x * y) != z | (x * K(y,x)) \ L(x,y,x) = z. (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | a(z,u,K(v5,w)) = x. a(x,y,K(z,u)) = K(u,u * (z \ L(z,y,x))). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). x \ y != K(z,z * (u \ L(u,w,v5))) | x * a(v5,w,K(u,z)) = y. x * a(y,z,K(u,x)) = T(x,x * (u \ L(u,z,y))). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))). a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. 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). x / (K(a(y,z,u),w) * x) = K(w,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). K(x,a(y,z,u)) = K(x,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). x \ y != K(z,L(u,w,v5) \ u) | x * K(z,a(v5,w,u)) = y. x * K(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,u * z)) != w | K(x,a(u,z,y) \ 1) = w. K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). x \ y != K(z,a(u,w,v5) \ 1) | x * K(z,v5 \ L(v5,w,u)) = y. x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | y * a(w,u,K(z,y)) = x. x * a(y,z,K(u,x)) = L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). T(K(x,x * y) * (x * R(y,z,u)),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | T(y * R(z,u,w),y * z) = x. T(x * R(y,z,u),x * y) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). (x * y) / (y * T(x,z)) != u | T(K(z,x) * K(x,y),y) = u. T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (x * (y * T(z \ u,u \ (u \ 1)))) \ ((x * (y * (u * u))) * (z \ (u \ 1))) = a(x,y * (u * u),L(z \ (u \ 1),u * u,y)). (x * (y * T(z \ u,u \ (u \ 1)))) \ ((x * y) * ((u * u) * (z \ (u \ 1)))) = a(x,y * (u * u),L(z \ (u \ 1),u * u,y)). (x * (y * T(z \ u,u \ (u \ 1)))) \ ((x * y) * T(z \ u,u \ (u \ 1))) = a(x,y * (u * u),L(z \ (u \ 1),u * u,y)). a(x,y,T(z \ u,u \ (u \ 1))) = a(x,y * (u * u),L(z \ (u \ 1),u * u,y)). a(x,y * (z * z),L(u \ (z \ 1),z * z,y)) = a(x,y,T(u \ z,z \ (z \ 1))). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | y \ (z * R(z \ y,u,w)) = x. x \ (T(x * (y \ 1),x) * R(T(x * (y \ 1),x) \ x,z,u)) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). x != K(y,(z \ 1) * ((u \ z) * u)) | K(y,K(z,u)) = x. K(a(x,y,z),K((x * y) * z,u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(x,K(a(y,z,u),(y * z) * u)) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). x != K(y,K(a(z,u,w),(z * u) * w)) | K(y,K(z * u,a(z,u,w))) = x. K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). L((x * (y * z)) \ ((x * y) * z),a(u,w,u) \ (x * (a(u,w,u) * (y * z))),a(u,w,u)) = a(x,a(u,w,u) * y,z). L(a(x,y,z),a(u,w,u) \ (x * (a(u,w,u) * (y * z))),a(u,w,u)) = a(x,a(u,w,u) * y,z). a(x,y,z) = a(x,a(u,w,u) * y,z). a(x,a(y,z,y) * u,w) = a(x,u,w). a(x,y * a(z,u,z),w) = a(x,y,w). a(x,y / L(z,u,z),w) = a(x,y / z,w). a(x,y * (z / y),u) = a(x,(y * z) / y,u). a(x,(y * z) / y,u) = a(x,y * (z / y),u). a(x,(y * z) / y,u) != w | a(x,T(z,y),u) = w. a(x,T(y,z),u) = a(x,z * (y / z),u). a(x,y * (z / y),u) = a(x,T(z,y),u). a(x,(y * z) * (y / (y * z)),u) != w | a(x,z * (y / z),u) = w. a(x,y * (z / y),u) = a(x,T(z,z * y),u). a(x,T(y,y * z),u) = a(x,z * (y / z),u). x != a(y,z * (u / z),w) | a(y,T(u,z),w) = x. a(x,T(y,z),u) = a(x,T(y,y * z),u). a(x,T(y,y * z),u) = a(x,T(y,z),u). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). x = L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. L(x,K(y,z),a(K(y,u),w,v5)) = x. a(K(x,y),z,u) * (K(x,w) * v5) = (a(K(x,y),z,u) * K(x,w)) * v5. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) != v5 | z * a(K(x,y),u,w) = v5. x * a(K(y,z),u,w) = a(K(y,T(z,x)),u,w) * (K(y,z) * (K(z,y) * x)). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). x != T(a(K(y,z),u * z,w),R(z,u,w)) | K(y * z,y * R(z,u,w)) = x. K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). K(x,y) != z | R(K(x,y),y,u) = z. R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). K(x,(x / y) * z) != u | K(x,(y \ x) * z) = u. K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). K(x,(y \ x) * R(y,z,u)) != w | K(x,x * (y \ R(y,z,u))) = w. K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != a(K(y \ z,y),u,w) | a(K(z,y),u,w) = x. a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). K(x,y) != z | (x \ T(y,x)) \ (x \ y) = z. (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). R(a(K(x,y),z,u),w,v5) != v6 | a(K(x,R(y,w,v5)),z,u) = v6. a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). a(K(x,R(y,x * z,u)),w,v5) != v6 | a(K(x,R(y,z,u)),w,v5) = v6. a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,K(y,z)),u * y,w) != v5 | a(K(y,K(x,z)),u,w) = v5. a(K(x,K(y,z)),u,w) = K(y,K(z,x \ R(x,u,w))). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). K(x,K(y,z \ R(z,u,w))) != v5 | K(x,K(y,R(z,u,w) * (z \ y))) = v5. K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). K(x,K(R(y,z,u),R(z,w,v5) \ z)) != v6 | K(x,K(y,(z * u) / (R(z,w,v5) * u))) = v6. K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) != v5 | K(x,K(a(y,z,u),T(w,y * (z * u)))) = v5. K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) != w | K(x,K(y * z,a(y,z,u))) = w. K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). 1 = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. 1 * (x * (y * z)) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). 1 = a(x,a(y,z,u),x). a(x,a(y,z,u),x) = 1. L(x,a(y,z,u),x) = x. a(x,a(y,z,u),x) \ w != v5 | v5 = w. T(x * a(y,z,u),x) = a(y,z,u) * x. L(x,a(y,z,u),x) != w | w = x. L(T(x,y),a(z,u,w),x) != v5 | v5 = T(x,y). L(T(x,y),a(z,u,w),x) != v5 | T(x,y) = v5. x * (y * z) = (1 / K(u,a(x,y,z))) * ((x * (y * z)) / (K(u,a(x,y,z)) \ 1)). (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). (x * (y * z)) * K(u,a(x,y,z)) = K(u,a(x,y,z)) * (x * (y * z)). K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). K(x,((y * z) * u) / (y * (z * u))) != w | R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = w. R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). a(K(x,R(y,R(y,z,u),w)),z * y,u) != v5 | a(K(x,y),z * y,u) = v5. a(K(x,y),z * y,u) = K(x,a(y,z,u)). a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | K(y,a(z,u,w)) = x. K(x,a(y,z,u)) = K(x,x * a(y,z,u)). K(x,x * a(y,z,u)) = K(x,a(y,z,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)) = K(z,a(x,y,u)). a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * 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),y,z) != u | 1 = u. 1 = a(x,x,K(y,z)). a(x,x,K(y,z)) = 1. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). L(x,x,K(y,z)) = x. a(x,y,K(z,u)) != w | K(u \ L(u,y,x),z) = w. K(x \ L(x,y,y),z) = 1. L(K(x,y),z,z) = K(x,y). x \ y != L(z,z,K(u,w)) | x * z = y. K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. L(x,y,z) = L(L(x,y,z),x,K(u,w)). L(L(x,y,z),x,K(u,w)) = L(x,y,z). (K(x,y) * z) * z != u | K(x,y) * (z * z) = u. K(x,y) * (1 / z) = K(x,y) / z. T(x \ L(x,y,y),z) = x \ L(x,y,y). K(L(x,y,y),z) = K(x,z). K(x,L(y,z,z)) = K(x,y). K(x,(y * z) \ (y * y)) = K(x,z \ y). L(K(x,y),z \ 1,z) = K(x,y). L(K(x,y),z,z \ 1) = K(x,y). (1 / x) * (x * K(y,z)) = K(y,z). L(K(x \ (y \ z),u),x,y) != w | K((y * x) \ z,u) = w. K((x * x) \ y,z) = K(x \ (x \ y),z). L(K(x,y \ (z \ u)),y,z) != w | K(x,(z * y) \ u) = w. K(x,(y * y) \ z) = K(x,y \ (y \ z)). x * y != L(K(z,u),w,w) | x \ K(z,u) = y. x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). (1 / x) \ K(y,z) = x * K(y,z). L(x,x,x) * K(y,z) = L(x * K(y,z),x,x). L(x * K(y,z),x,x) = L(x,x,x) * K(y,z). (x \ 1) \ K(y,z) = L(x,x,x) * K(y,z). L(x,x,x) * K(y,z) = (x \ 1) \ K(y,z). x * K(x,y) = T(x,L(y,z,z)). T(x,L(y,z,z)) = x * K(x,y). K((1 / x) * y,z) = K(x \ y,z). K(L(x,y,y \ 1),z) = K(x,z). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). K(x * (x * (L(x,y,z) \ u)),w) = K(L(x \ 1,y,z) \ u,w). T(L(x,y,y),z) * a(y,y,x) = K(x,z) * x. K(x,(1 / y) * z) = K(x,y \ z). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). K(x,y * (y * z)) = K(x,(y * y) * z). K(x,(y * y) * z) = K(x,y * (y * z)). K(x,L(y * z,u,w)) = K(x,L((y \ 1) \ z,u,w)). K(x,L((y \ 1) \ z,u,w)) = K(x,L(y * z,u,w)). K(x,y * (L(y \ 1,z,u) * w)) = K(x,L(y,z,u) * (y \ w)). K((x * y) \ 1,z) = K(y \ (x \ 1),z). L(K(x,y / z),z,z \ 1) != u | K(x,y * (z \ 1)) = u. K(x,y * (z \ 1)) = K(x,y / z). T(x,y) = T(x,L(y,z,z)). T(x,L(y,z,z)) = T(x,y). T(x,L(y,z,z)) != u | T(x,y) = u. x != T(T(y,y \ 1) * z,y) | y * ((y \ z) * y) = x. x * ((x \ y) * x) = T(T(x,x \ 1) * y,L(x,z,z)). T(T(x,x \ 1) * y,L(x,z,z)) = x * ((x \ y) * x). T(x,L((y \ z) \ 1,y,y)) != u | T(x,((y \ 1) * z) \ 1) = u. T(x,((y \ 1) * z) \ 1) = T(x,(y \ z) \ 1). x \ y != T(z,L(u,w,w)) | x * T(z,u) = y. L(x,y,y) * T(z,x) = z * L(x,y,y). T(x,(1 / y) * z) = T(x,y \ z). T(x,(y * y) \ z) = T(x,y \ (y \ z)). T(x,T((1 / y) * z,u)) = T(x,T(y \ z,u)). T(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,y * (y * z)) = T(x,(y * y) * z). T(x,(y * y) * z) = T(x,y * (y * z)). x * y != K(L(z,u,u \ 1),w) | x \ K(z,w) = y. x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). (K(x,y) * z) \ K(x,y) = z \ 1. K(x,y) * (K(y,x) / z) = 1 / z. L(x,K(y,z) / u,w) = L(x,K(y,z) * u,w). a(K(x,y) / z,u,w) = a(K(x,y) * z,u,w). (K(x,y) / z) * x = K(x,y) * ((1 / z) * x). K(x,y) * ((1 / z) * x) = (K(x,y) / z) * x. T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). T(K(x * y,x) / z,K(x,y)) = (1 / z) * K(x * y,x). (1 / x) * y != K(z,u) | (z / x) \ T(z,u) = y. (x / y) \ T(x,z) = y * K(x,z). (1 / (x \ y)) * z != K(y,u) | x \ T(y,u) = z. x \ T(y,z) = (x \ y) * K(y,z). (x \ y) * K(y,z) = x \ T(y,z). L(x \ (y * K(z,u)),x,1 / y) = ((1 / y) * x) \ K(z,u). (1 / x) \ K(y,z) != x * u | u = K(y,z). (1 / x) \ K(y,z) != x * u | K(y,z) = u. (x \ K(y,z)) * K(z,y) = x \ 1. x != ((y * y) \ z) \ u | z \ ((y * y) * u) = x. x \ ((y * y) * K(z,u)) = (((y * y) \ x) \ 1) * K(z,u). (((x * x) \ y) \ 1) * K(z,u) = y \ ((x * x) * K(z,u)). (x \ K(y,z)) / K(y,z) = x \ 1. x * y != (z \ 1) * K(u,w) | x \ (z \ K(u,w)) = y. x \ (x \ K(y,z)) = (x * x) \ K(y,z). (x * x) \ K(y,z) = x \ (x \ K(y,z)). L(x,y,z \ K(u,w)) = L(x,y,z * K(u,w)). (x \ K(y,z)) \ (x \ 1) = K(z,y). (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). T(x \ K(y,z),K(y,z)) != u | K(y,z) * (x \ 1) = u. (K(x,T(y,z \ 1)) * z) * (1 / z) = (z \ K(x,y)) * z. (T(x,y) / z) \ x = z * K(y,x). K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). x != (y / ((z * u) / z)) * K(z,u) | y / u = x. x / y = (1 / (x / ((z * y) / z))) \ K(z,y). (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. (1 / (x \ T(y,z))) \ K(z,y) != u | x \ y = u. x \ y = (x \ T(y,z)) * K(z,y). (x \ T(y,z)) * K(z,y) = x \ y. L(x,y * (z * K(u,w)),v5) = L(x,y * (z \ K(u,w)),v5). L(x,y * (z \ K(u,w)),v5) = L(x,y * (z * K(u,w)),v5). K((x \ 1) * y,z) = K(x \ y,z). K(x,y) = K(z \ ((1 / z) \ x),y). K(x \ ((1 / x) \ y),z) = K(y,z). ((x \ 1) * ((x \ 1) * y)) * K(x \ y,z) = (1 / x) * T((1 / x) * y,z). K((x \ 1) \ y,x * x) != z | K(x \ y,x * x) = z. K(x \ y,x * x) = K(x * y,x * x). K(T(((x \ 1) \ y) / (x \ 1),(x \ 1) \ 1),z) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),z). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),z) = K(T(((x \ 1) \ y) / (x \ 1),(x \ 1) \ 1),z). K((1 / T(x,y)) \ z,u) = K(T((x \ 1) \ 1,y) * z,u). K(T((x \ 1) \ 1,y) * z,u) = K((1 / T(x,y)) \ z,u). x \ T(x * y,z) = y * K(x * y,z). x * (y * K(x * y,z)) = T(x * y,z). T(x * K(y * x,z),y) = y \ T(x * y,z). K((x \ 1) * y,z) != u | K(x \ y,z) = u. T(x * K(y * z,x),z \ (y \ 1)) = T(x,(z \ (y \ 1)) * (z \ (y \ 1))). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. K(x,y * z) = K(x,(1 / y) \ z). K(x,(1 / y) \ z) = K(x,y * z). K(x,y) = K(x,z \ ((1 / z) \ y)). K(x,y \ ((1 / y) \ z)) = K(x,z). K(x,(K(y,z) / z) * u) = K(x,T(z,y) \ u). K(x,(1 / y) \ z) != u | K(x,y * z) = u. K(x,((y \ 1) \ z) * y) = K(x,y * (z * y)). x \ y != K(z,(u \ 1) \ w) | x * K(z,u * w) = y. x * K(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = x * K(x,y * z). x * y != K(z,(u \ 1) \ w) | x \ K(z,u * w) = y. (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). K(x,(y \ 1) * z) != u | K(x,y \ z) = u. x * (y * K(z,x * y)) = (x * y) * K(z,x * y). (x * y) * K(z,x * y) = x * (y * K(z,x * y)). L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. L(K(x,y * z),u,w) = K(x,L((y \ 1) \ z,u,w)). K(x,L((y \ 1) \ z,u,w)) = L(K(x,y * z),u,w). K(x,y * (1 / z)) = K(x,y / z). K(x,y * z) = K(x,y / (z \ 1)). K(x,y / (z \ 1)) = K(x,y * z). x \ T(x,y * (z \ 1)) = K(x,y / z). x != K(y,z) | L(K(y,z),u,u \ 1) = x. L(K(x,y / z),u,u \ 1) = K(x,y * (z \ 1)). K(x,y * z) = K(x,y / (1 / z)). K(x,y / (1 / z)) = K(x,y * z). K(x,y * (z \ (u * u))) = K(x,y / ((u * u) \ z)). K(x,y / ((z * z) \ u)) = K(x,y * (u \ (z * z))). K(x,y * (L(z,u,w) \ (z * z))) = K(x,y / L(1 / z,u,w)). K(x,y / (z \ 1)) != u | K(x,y * z) = u. L(K(x,y / z),u,w) = K(x,L(y * (z \ 1),u,w)). K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). T(x,(1 / y) * z) != u | T(x,y \ z) = u. T(x,(y * y) \ z) != u | T(x,y \ (y \ z)) = u. T(x,T((y * y) \ z,u)) != w | T(x,T(y \ (y \ z),u)) = w. T(x,(1 / (1 / y)) * z) != u | T(x,y * z) = u. T(x,y * z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,y * z). T(x,(1 / y) * z) != u | T(x,(y \ 1) * z) = u. T(x,(y \ 1) * z) = T(x,y \ z). T(x,(1 / (y / (z * z))) * u) = T(x,(z * z) * (y \ u)). T(x,y * (((z \ 1) * u) * T(w,z \ u))) = T(x,y * (w * ((1 / z) * u))). T(x,((y \ z) \ 1) \ u) != w | T(x,T(u,z \ y) / ((y \ z) \ 1)) = w. T(x,T(y,z \ u) / ((u \ z) \ 1)) = T(x,(u \ z) * y). T(x,(y \ 1) \ (y / z)) != u | T(x,(y * y) / z) = u. T(x,(y * y) / z) = T(x,y * (y / z)). K(x,T(y,z * u) * ((z \ 1) \ u)) = K(x,((z \ 1) \ u) * y). T(x,(y \ 1) * z) != u | T(x,y \ z) = u. K(x,y) * K(z,u) = (K(u,z) * K(y,x)) \ 1. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). 1 / (x \ K(y,z)) = K(z,y) * x. a(x \ K(y,z),u,w) = a(K(z,y) * x,u,w). (x \ K(y,z)) * K(u,w) = (K(z,y) * x) \ K(u,w). (K(x,y) * z) \ K(u,w) = (z \ K(y,x)) * K(u,w). K(x,y * (z \ K(u,w))) = K(x,y / (K(w,u) * z)). K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). T(x,K(y,z)) \ K(y,z) = (x / K(y,z)) \ 1. K(x,y) * (1 / z) != u | u = K(x,y) / z. K(x,y) * (1 / z) != u | K(x,y) / z = u. T(x,y) / (z * K(x,y)) = x / z. x \ T(y * x,z) = T(y,x) * K(y * x,z). T(x,y) * K(x * y,z) = y \ T(x * y,z). x * y != (z \ u) * K(u,w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / T(y,z) = (x \ y) / y. T(x \ T(y,z),K(z,y)) = K(y,z) * (x \ y). x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). x / (y * K(z,x)) = T(x,z) / y. (K(x,y) / z) \ x = ((1 / z) \ x) * K(y,x). ((1 / x) \ y) * K(z,y) = (K(y,z) / x) \ y. K(x,T((y \ 1) * z,u)) = K((u * x) / u,y \ z). K((x * y) / x,z \ u) = K(y,T((z \ 1) * u,x)). (x * K(y \ z,u)) \ x = K(u,(y \ 1) * z). K(x,y * (z * T(u / w,u))) != v5 | K(x,y * (z * (w \ u))) = v5. K(x,(y \ 1) * (z * (u \ w))) = K(x,y \ (z * T(w / u,w))). K(x,y \ (z * T(u / w,u))) = K(x,(y \ 1) * (z * (w \ u))). K(x,y * (T(z,z \ u) * w)) != v5 | K(x,y * (T(z,u) * w)) = v5. K(x,(y \ 1) * (T(z,u) * w)) = K(x,y \ (T(z,z \ u) * w)). K(x,y \ (T(z,z \ u) * w)) = K(x,(y \ 1) * (T(z,u) * w)). K(x,y * (T(z / u,z) * w)) != v5 | K(x,y * ((u \ z) * w)) = v5. K(x,(y \ 1) * ((z \ u) * w)) = K(x,y \ (T(u / z,u) * w)). K(x,y \ (T(z / u,z) * w)) = K(x,(y \ 1) * ((u \ z) * w)). K(x,((y * y) * (z \ 1)) * u) = K(x,(z / (y * y)) \ u). K(x,y * (((1 / y) * z) * u)) = K(x,y \ ((y * z) * u)). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. (x \ T(y * x,z)) \ T(y,x) = K(z,y * x). (x \ y) * K(y,z) != u | u = x \ T(y,z). (x \ y) * K(y,z) != u | x \ T(y,z) = u. K(x * (y \ 1),z) = K(y \ x,T(z,x)). K(x \ y,T(z,y)) = K(y * (x \ 1),z). K(x,y) = K(z \ ((z \ 1) \ x),y). K(x \ ((x \ 1) \ y),z) = K(y,z). (x * ((y \ 1) * z)) * K(y \ z,u) != w | x * T((y \ 1) * z,u) = w. K(x,y * ((y \ 1) \ z)) = K(x,y * (y * z)). K(x,y * z) != u | K(x,(y \ 1) \ z) = u. x \ (((1 / x) \ y) * K(z,y)) = (x \ ((1 / x) \ y)) * K(z,x \ ((1 / x) \ y)). (x \ ((1 / x) \ y)) * K(z,x \ ((1 / x) \ y)) = x \ (((1 / x) \ y) * K(z,y)). K(x,T(y,z) * (1 / u)) = K(x,((y \ z) \ z) / u). K(x,((y \ z) \ z) / u) = K(x,T(y,z) * (1 / u)). K(x,y / z) != u | K(x,y * (z \ 1)) = u. L(K(x,y * z),u,w) = K(x,L(y / (z \ 1),u,w)). K(x,L(y / (z \ 1),u,w)) = L(K(x,y * z),u,w). K(x,y * (z * z)) = K(x,(y * z) * z). K(x,(y * z) * z) = K(x,y * (z * z)). K(x,y * (1 / z)) != u | K(x,y / z) = u. T(x / ((1 / y) \ z),(1 / y) \ y) != u | (y \ 1) * (y \ (x / (y \ z))) = u. (x \ 1) * (x \ (y / (x \ z))) = T(y / ((1 / x) \ z),x * x). T(x / ((1 / y) \ z),y * y) = (y \ 1) * (y \ (x / (y \ z))). T(((1 / x) \ y) * z,(1 / x) \ x) != u | (x \ y) * (z * ((1 / x) \ x)) = u. (x \ y) * (z * ((1 / x) \ x)) = T(((1 / x) \ y) * z,x * x). T(((1 / x) \ y) * z,x * x) = (x \ y) * (z * ((1 / x) \ x)). x \ y != T(z,(1 / u) \ w) | x * T(z,u * w) = y. ((1 / x) \ y) * T(z,x * y) = z * ((1 / x) \ y). T(x,y * ((y \ 1) \ z)) = T(x,y * (y * z)). (x \ 1) * (x \ (y / (z * (1 / x)))) = T(y,x * x) / (z * x). T(1 / x,x * y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). (x \ y) \ T(z * (x \ 1),x * x) = ((1 / x) \ y) \ (z * ((x \ 1) \ 1)). ((1 / x) \ y) \ (z * ((x \ 1) \ 1)) = (x \ y) \ T(z * (x \ 1),x * x). K(x,T(y,z * u) * ((z \ 1) \ u)) = K(x,((1 / z) \ u) * y). T(x,(y \ 1) * (y \ 1)) != z | y * (((y \ 1) \ x) * (y \ (1 / y))) = z. x * (((x \ 1) \ y) * (x \ (1 / x))) = T(y,x \ (x \ 1)). T(x * K(y,x),(x \ 1) * y) != z | R(x,x \ L(y,x,x),x) = z. R(x,x \ L(y,x,x),x) = T(x * K(y,x),x \ y). T(x * K(y,x),x \ y) = R(x,x \ L(y,x,x),x). x \ y != T(z,(u \ 1) * w) | x * T(z,u \ w) = y. ((x \ 1) * y) * T(z,x \ y) = z * ((x \ 1) * y). T(x,y) = T(x,z \ ((z \ 1) \ y)). T(x,y \ ((y \ 1) \ z)) = T(x,z). T(x,(y \ (z * z)) * u) = T(x,y \ ((z * z) * u)). T(x,y \ ((z * z) * u)) = T(x,(y \ (z * z)) * u). T(x,y \ (y \ 1)) * ((1 / (y \ 1)) * z) = (((y \ 1) * (y \ 1)) \ x) * ((y \ 1) * z). (((x \ 1) * (x \ 1)) \ y) * ((x \ 1) * z) = T(y,x \ (x \ 1)) * ((1 / (x \ 1)) * z). T(x,(y \ 1) * z) != x * u | K(x,y \ z) = u. T(x,(y \ 1) * z) != u | x * K(x,y \ z) = u. T(x,((1 / L(y,z,u)) * y) * w) = T(x,(y \ L(y,z,u)) \ w). K(x,T(y,z \ u) / ((z \ 1) * u)) != w | K(x,((z \ 1) * u) \ y) = 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). (K(x,y) * z) \ y = z \ T(y,x). x / (y * K(x * K(z,x),z)) = (x * K(z,x)) / y. T(x,y) / (z / T(y,x)) = x / (z / y). 1 / (x * K(y,z)) = K(z,y) / x. K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (K(y,x) / y) = T(x,y) / (1 / y). T(x,y) / (1 / y) = x / (K(y,x) / y). (x \ y) * K(y,z) = (1 / x) * T(x \ ((x \ 1) \ y),z). T(x,y \ (y \ L(y,z,u))) = T(x,L(y \ 1,z,u)). K(T(x,y) * (z \ ((z \ 1) \ y)),u) != w | K((z \ ((z \ 1) \ y)) * x,u) = w. K(x,T(y,z) * (u \ ((u \ 1) \ z))) != w | K(x,(u \ ((u \ 1) \ z)) * y) = w. T(x,(y \ (z \ ((1 / z) \ y))) \ (((z \ ((1 / z) \ y)) \ y) \ u)) = T(x,u). K(x,T(y,z) \ (u \ ((u \ 1) \ z))) != w | K(x,(u \ ((u \ 1) \ z)) / y) = w. x \ y = (K(y,z) * x) \ T(y,z). (K(x,y) * z) \ T(x,y) = z \ x. (T(x,y) \ z) \ x = (x \ z) \ T(x,y). (x * y) \ z = (((z * x) / z) * y) \ T(z,x). (((x * y) / x) * z) \ T(x,y) = (y * z) \ x. T(x \ T(y,z),K(z,y)) = (x * K(z,y)) \ y. a(x * (K(y,z) / u),w,v5) = a(x * (u * K(z,y)),w,v5). 1 / L(x,y,x) = K(x,y) / T(x,x * y). K(x,y) / T(x,x * y) = 1 / L(x,y,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. K(x,y) * (T(y,x) / z) = y / z. x \ y != K(z,u) * (z / w) | x * (T(z,u) / w) = y. x * (T(x,y) / z) = T(x,y) * (x / z). T(x,y) * (x / z) = x * (T(x,y) / z). K(x,y) * (y / z) = y / (z * K(y,x)). x / (y * K(x,z)) = K(z,x) * (x / y). (K(x,y) * (z * L(z,u,w))) / (z * L(z,u,w)) = R(K(x,y),z,L(L(z,u,w),z,K(x,y))). R(K(x,y),z,L(L(z,u,w),z,K(x,y))) = (K(x,y) * (z * L(z,u,w))) / (z * L(z,u,w)). T(x,y \ L(y,z,z)) = x. x / (y \ L(y,z,z)) = (y \ L(y,z,z)) \ x. T(x,y \ L(y,z,u)) != w | T(x,a(u,z,y) \ 1) = w. T(x,a(y,y,z) \ 1) = x. K(x,y * ((z \ L(z,u,u)) * w)) = K(x,y * (w * (z \ L(z,u,u)))). K(x,K(y,z \ (z \ u))) * x = T(x,K((z * z) \ u,y)). T(x,(y * z) \ 1) = 1 / (x \ K(z \ (y \ 1),x)). 1 / (x \ K(y \ (z \ 1),x)) = T(x,(z * y) \ 1). x * y != L(z,u,u) * T(w,z) | x \ (w * L(z,u,u)) = y. x \ (y * L(x,z,z)) = L(x,z,z) * (x \ T(y,x)). L(x,y,y) * (x \ T(z,x)) = x \ (z * L(x,y,y)). x \ ((y * y) * (z * ((y * y) \ x))) = T(z,y \ (y \ x)). T(x,y \ ((y \ 1) * z)) = T(x,y \ (y \ z)). T(x,((y * y) \ z) * u) = T(x,y \ (y \ (z * u))). T(x,y \ (y \ (z * u))) = T(x,((y * y) \ z) * u). T(T(x,y * y),z) = T(x,y * (y * z)). x * (y \ (y \ K(y \ 1,z))) = (x / y) * T(y \ 1,z). K(x * 1,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). L(x * K(y * x,z),y,z) = (z * y) \ ((y * x) * z). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. x \ y != K(x,z) | T(x,z) = y. T(x,y / z) = T(x,y * (z \ 1)). T(x,y * (z \ 1)) = T(x,y / z). x != T(y,z) | 1 / (y \ K(z,y)) = x. 1 / (x \ K(y / z,x)) = T(x,y * (z \ 1)). T(x,y * (1 / z)) = T(x,y / z). T(x,y \ (z \ 1)) = T(x,(y \ 1) / z). T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). T(x,y \ (z \ 1)) = T(x,(1 / y) / z). T(x,(1 / y) / z) = T(x,y \ (z \ 1)). T(x,T(y / z,y) * u) != w | T(x,(z \ y) * u) = w. T(x,(y \ z) * (u \ 1)) = T(x,T(z / y,z) / u). T(x,T(y / z,y) / u) = T(x,(z \ y) * (u \ 1)). T(x,y * ((z \ 1) \ 1)) != u | T(x,y * z) = u. T(x,y * z) = T(x,y / (z \ 1)). T(x,y / (z \ 1)) = 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 \ (u * u))) = T(x,y / ((u * u) \ z)). T(x,y / ((z * z) \ u)) = T(x,y * (u \ (z * z))). K(x,T(y,z / u) * (z * (u \ 1))) != w | K(x,(z * (u \ 1)) * y) = w. T(x,y * ((z \ ((1 / z) \ u)) \ u)) = T(x,y / (u \ (z \ ((1 / z) \ u)))). T(x,y / (z \ (u \ ((1 / u) \ z)))) = T(x,y * ((u \ ((1 / u) \ z)) \ z)). T(x,T(x,y) * (1 / y)) != z | L(T(x,y \ 1),y,x) = z. L(T(x,y \ 1),y,x) = T(x,T(x,y) / y). T(x,(y / (1 / z)) * u) != w | T(x,(y / (z \ 1)) * u) = w. T(x,(y / (z \ 1)) * (1 / u)) = T(x,(y / (1 / z)) / u). K(x * (1 / y),z) = z / T(z,x / y). K(x,T(y,z / u) * (z * (u \ 1))) = K(x,(z * (1 / u)) * y). K(x,T(y * z,T(y,u) / u) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). T(x,y / (z \ L(z,u,u))) = T(x,y * a(u,u,z)). T(x,T(y * z,y * y) * y) != u | T(x,T(z * (y * y),y)) = u. K(x / y,z) = K(x * (y \ 1),z). K(x * (y \ 1),z) = K(x / y,z). K(x * (y \ 1),z) != u | K(x / y,z) = u. K(x * (1 / y),z) = K(x / y,z). K((1 / x) * y,z) != u | K(x \ y,z) = u. K(x \ (y \ 1),z) = K((1 / x) / y,z). K((1 / x) / y,z) = K(x \ (y \ 1),z). K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). K(x * (y \ K(z,u)),w) = K(x / (K(u,z) * y),w). K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). K(x / (1 / y),z) != u | K(x * y,z) = u. ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T(z * (1 / u),x)). x != K(y * z,u) | K((y \ 1) \ z,u) = x. K((x \ 1) \ y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K((x \ 1) \ y,z). K(x,y * (y * z)) = K(x,z * (y * y)). K(x,y * (z * z)) = K(x,z * (z * y)). T(x,x \ 1) / (y / (1 / x)) = x / (y / (x \ 1)). K((x / y) \ (T(x,z) \ u),L(w,x / y,T(x,z))) = K((x * (T(x,z) / y)) \ u,w). T(T(x,y),z * z) = T(x,z * (z * y)). T(1 / x,y) = T(x \ 1,x * (x * y)). T(x \ 1,x * (x * y)) = T(1 / x,y). T(x,((y * y) * ((z \ 1) \ 1)) / u) = T(x,(z \ (y \ (y \ 1))) \ (u \ 1)). K(x * (1 / y),z) != u | K(x / y,z) = u. K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(K(y \ (x \ 1),z),u). K(x,(y \ z) * (y * y)) = K(x,y * z). T(T(x,y),x * x) != z | L(T(x,y),x,x) = z. L(T(x,y),x,x) = T(x,x * (x * y)). T(x,x * (x * y)) = L(T(x,y),x,x). T(x,y * (y * z)) != u | T(x,(y * y) * z) = u. T(x,(x * x) * y) = L(T(x,y),x,x). T(x,x * y) = L(T(x,x \ y),x,x). L(T(x,x \ y),x,x) = T(x,x * y). L(T(x,y),x,x) != z | T((x \ 1) \ 1,y) = z. T((x \ 1) \ 1,x \ y) = T(x,x * y). x * y != L(T(z,z \ u),z,z) | x \ T(z,z * u) = y. x \ T(x,x * y) = (x \ 1) * T(x,x \ y). (x \ 1) * T(x,x \ y) = x \ T(x,x * y). L(x \ y,y / x,y / x) = T(y / x,(y / x) * y). T(x,x * y) \ L(L(T(x,x \ y),x,x),z,u) = L(T(x,x \ y) \ L(T(x,x \ y),z,u),x,x). L(T(x,x \ y) \ L(T(x,x \ y),z,u),x,x) = T(x,x * y) \ L(L(T(x,x \ y),x,x),z,u). T(x \ 1,x * y) = T(1 / x,x \ y). T(1 / x,x \ y) = T(x \ 1,x * y). T(x \ 1,y) = T(1 / x,x \ (x \ y)). T(1 / x,x \ (x \ y)) = T(x \ 1,y). x \ T(x,y * z) = K(x,(y \ z) * (y * y)). K(x,(y \ z) * (y * y)) = x \ T(x,y * z). T((x \ y) \ y,x \ z) != u | (((x \ z) \ z) \ y) \ y = u. (((x \ y) \ y) \ 1) \ 1 = T(x,x * y). T(x,x * y) = (((x \ y) \ y) \ 1) \ 1. T(x,x * y) \ 1 = 1 / T(x,x \ y). 1 / T(x,x \ y) = T(x,x * y) \ 1. T(x,x * y) * K(z,T((x \ 1) \ 1,x \ y)) = T(((x \ 1) \ 1) * K(z,(x \ 1) \ 1),x \ y). T(((x \ 1) \ 1) * K(y,(x \ 1) \ 1),x \ z) = T(x,x * z) * K(y,T((x \ 1) \ 1,x \ z)). T(1 / x,y / x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | T(y \ 1,z * y) = x. T(x \ 1,y * x) = T(1 / x,x \ y). T(1 / x,x \ y) = T(x \ 1,y * x). L(T(x \ 1,y),x \ 1,x) = T(x \ 1,x \ (x \ y)). L(x,T(y,y * z),u) = L(x,(y \ z) \ z,u). L(x,T(y,y * z),u) != w | L(x,(y \ z) \ z,u) = w. T(x,y * (z * (u * (1 / (((w \ v5) \ v5) \ 1))))) = T(x,y * (z * (u * T(w,w * v5)))). T(x,y * (z * (u * T(w,w * v5)))) = T(x,y * (z * (u * (1 / (((w \ v5) \ v5) \ 1))))). a(x,T(y,y * z),u) != w | a(x,(y \ z) \ z,u) = w. x \ y != T(z,z * u) \ 1 | x * (1 / T(z,z \ u)) = y. x * (1 / T(x,x \ y)) = K(x * y,x). x / y != T(z,u) \ x | T((z \ x) \ x,u) = y. T((x \ 1) \ 1,x * y) = T(x,x \ y). x \ y != T(1 / z,u / z) | x * T(z \ 1,z * u) = y. (x / y) * T(y \ 1,y * x) = (1 / y) * (x / y). x * (1 / T(x,y)) = K(x * (x * y),x). K(x * (x * y),x) = x * (1 / T(x,y)). K(x * y,x) * x = (x \ 1) \ K(x \ y,x). (x \ 1) \ K(x \ y,x) = K(x * y,x) * x. K(K((x / (1 / y)) * ((x / (1 / y)) * z),x / (1 / y)),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. K(x,((y * y) \ z) \ u) != w | K(x,(z \ (y * y)) * u) = w. K(x,(L(y,z,u) \ y) \ w) != v5 | K(x,(y \ L(y,z,u)) * w) = v5. K(x,(y \ (z * z)) * u) != w | K(x,y \ ((z * z) * u)) = w. K(x,(1 / y) * z) != u | K(x,y \ z) = u. K(x,(y \ L(y,z,z)) * u) != w | K(x,a(z,z,y) \ u) = w. K(x,y / (1 / z)) != u | K(x,y * z) = u. T(x,(1 / y) / z) != u | T(x,y \ (z \ 1)) = u. K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. K(x,y) * (K(z,u) / w) != v5 | K(x,y) / (w * K(u,z)) = v5. K(x,(y * y) * z) != u | K(x,y * (y * z)) = u. K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. K(x,y * ((y \ 1) \ (z * (1 / u)))) != w | K(x,(y * ((y \ 1) \ z)) / u) = w. K(x,y * (z \ 1)) != u | K(x,y / z) = u. K(x,y) / T(x,x * y) != z | R(1 / x,y,x) = z. R(1 / x,y,x) = 1 / L(x,y,x). R(x,y,x \ 1) = 1 / L(x \ 1,y,x \ 1). 1 / L(x \ 1,y,x \ 1) = R(x,y,x \ 1). R(T(x \ 1,T(x,y)),z,x) = 1 / L(x,z,x). T(x,(y * y) * z) != u | T(x,y * (y * z)) = u. T(x,y \ (L(1 / y,z,u) \ w)) != v5 | T(x,y * (L(y,z,u) \ w)) = v5. T(x,(1 / y) \ z) != u | T(x,y * z) = u. T(x,y \ z) != u | T(x,(y \ 1) * z) = u. T(x,((y \ 1) \ 1) * z) != u | T(x,y * z) = u. x != T(y,T(z,u) / u) | T(y,u \ z) = x. T(x,y \ x) = L(T(x,y \ 1),y,x). L(T(x,y \ 1),y,x) = T(x,y \ x). T(x,a(y,z,u) \ x) != w | T(x,a(y,z,u) \ 1) = w. K(x / (y * K(z,y)),u) != w | K(x * (y \ K(y,z)),u) = w. K(x / (K(y,z) * u),w) != v5 | K(x * (u \ K(z,y)),w) = v5. K(x / (K(y,z) / u),w) != v5 | K(x * (u * K(z,y)),w) = v5. K((x \ 1) \ y,z) != u | K(x * y,z) = u. K((x * x) \ y,z) != u | K(x \ (x \ y),z) = u. K(x,(K(y,z) / z) * u) != w | K(x,T(z,y) \ u) = w. K(x,y * ((z * z) * ((u * w) \ 1))) != v5 | K(x,y / (u * (w / (z * z)))) = v5. T(x,y * ((y \ 1) \ z)) != u | T(x,y * (y * z)) = u. T(x,(K(y,z) * u) \ w) != v5 | T(x,(u \ K(z,y)) * w) = v5. K((1 / x) \ y,z) != u | K(x * y,z) = u. K(a(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) = K(a(x,y,z),u). x \ y != K(z,u) * (K(u,z) / w) | x * (1 / w) = y. a(x,y,K(z,u)) * (1 / w) = K(a(x,y,z),u) / w. T(x,a(y,z,u)) \ x = a(y,z,K(u,x)). x \ y != K(a(z,u,w),v5) | x * a(z,u,K(w,v5)) = y. a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). a(x,x,K(y,z)) != u | 1 = u. 1 = K(a(x,x,y),z). K(a(x,x,y),z) = 1. a(x,y,K(z,y)) != u | 1 = u. 1 = K(a(x,y,z),y). K(a(x,y,z),y) = 1. T(x * a(y,z,K(u,x)),a(y,z,u)) = x. a(x,y,z) * a(x,y,K(z,u)) != w | T(a(x,y,z),u) = w. x * a(y,z,K(u,x)) != w | (a(y,z,u) * x) / a(y,z,u) = w. (x / y) * a(z,u,K(w,y)) = x / T(y,a(z,u,w)). x * ((x \ y) * a(z,u,K(w,x \ y))) = y * K(a(z,u,w),x \ y). (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = w * a(x,y,K(z,T(w,u))). T(a(x,y,z),y) = a(x,y,z). a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. x != L(y,y,y) * K(z,u) | (y \ 1) \ K(z,u) = x. (x \ 1) \ K(y,z) = L(x * K(y,z),x,x). L(x * K(y,z),x,x) = (x \ 1) \ K(y,z). L(T(x * K(y,z),u),x,x) = T((x \ 1) \ K(y,z),u). T(x,y) = T(L(x,z,z),y) * a(z,z,x). T(L(x,y,y),z) * a(y,y,x) = T(x,z). L(T(x,y),z,z) * a(z,z,x) = T(x,y). a(x,x,T(y,z)) = a(x,x,y). x != T(y,(z \ u) \ 1) | T(y,u \ z) = x. T(x,y \ z) = T(x,((z \ 1) * y) \ 1). T(x,((y \ 1) * z) \ 1) = T(x,z \ y). T(x,((y \ 1) * z) \ 1) != u | T(x,(y * z) \ (y * y)) = u. T(x,(y * z) \ (y * y)) = T(x,z \ y). 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)). a(K(x,y) / ((K(x,y) \ 1) \ z),u,w) = a((K(x,y) \ (1 / K(x,y))) \ z,u,w). K(x,y) * ((1 / y) * x) != z | ((y * y) \ x) * y = z. ((x * x) \ y) * x = (K(y,x) / x) * y. ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). L(T(x,x \ 1) \ y,x,x \ K(x,z)) != u | K(x,z) \ ((((z * x) / z) \ 1) * y) = u. K(x,y) \ ((((y * x) / y) \ 1) * z) = L(T(x,x \ 1) \ z,x,x * K(x,y)). L(T(x,x \ 1) \ y,x,x * K(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). K(x,((y * y) \ z) * y) = K(x,T(y,z) \ z). K(x,T(y,z) \ z) = K(x,((y * y) \ z) * y). (K(x,y) * K(z,y)) \ 1 != u | T(K(y,z) * K(y,x),K(x,y) * K(z,y)) = u. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). T(x,K(y,z)) \ K(u,z) != w | T(x \ K(u,z),K(y,z)) = w. T(x \ K(y,z),K(y,z)) = (x / K(y,z)) \ 1. T(T(x,x \ 1),y) * K(L(x,x,x) * y,z) = y \ T(T(x,x \ 1) * y,z). 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). T(x,(y \ 1) * ((y \ 1) * z)) = T(x,y \ (y \ z)). T(x,y * (z \ 1)) != u | T(x,y / z) = u. T(x,y * (1 / z)) != u | T(x,y / z) = u. T(x,y * (z \ K(u,z))) != w | T(x,y / T(z,u)) = w. T(x,y \ (z \ 1)) != u | T(x,(y \ 1) / z) = u. K(x,x * y) = (x \ 1) * T(x,x \ y). (x \ 1) * T(x,x \ y) = K(x,x * y). x * y != (z \ 1) * T(z,z \ u) | K(z,z * u) / y = x. K(x,x * y) / x = x \ K(x,x \ y). (x \ K(x,x \ y)) * K(z,x) = K(x,x * y) / T(x,z). T(x,(y \ z) * (y * y)) = T(x,y * z). T(x,y * (z * z)) = T(x,z * (z * y)). x != T(y,z * (z * u)) | T(T(y,u),z * z) = x. T(T(x,y),z * z) = T(x,y * (z * z)). x != T(y,z * (z * u)) | T(T(y,z * z),u) = x. T(T(x,y * y),z) = T(x,z * (y * y)). x != T(y,z * (z * u)) | T(y,z * ((z \ 1) \ u)) = x. T(x,y * ((y \ 1) \ z)) = T(x,z * (y * y)). T(x,y \ (z * (u * u))) = T(x,u * (u * (y \ z))). T(x,y * (z \ (1 / z))) = T(x,(z \ 1) * ((z \ 1) * y)). T(x,(y \ 1) * ((y \ 1) * z)) = T(x,z * (y \ (1 / y))). T(x,T(y,z) * ((1 / z) * (1 / z))) = T(x,(1 / z) * (((z * z) \ y) * z)). L(x,T(y \ 1,(1 / y) * (z * y)),u) = L(x,((y \ 1) \ (z * ((y \ 1) \ 1))) \ (z * ((y \ 1) \ 1)),u). L(x,((y \ 1) \ (z * ((y \ 1) \ 1))) \ (z * ((y \ 1) \ 1)),u) = L(x,T(y \ 1,(1 / y) * (z * y)),u). x * K(x * y,x) = (x \ 1) \ K(x \ y,x). (x \ 1) \ K(x \ y,x) = x * K(x * y,x). 1 / L(x \ 1,y,z \ 1) != u | L(1 / x,y,z) \ 1 = u. L(1 / x,y,x) \ 1 = R(x,y,x \ 1). R(x,y,x) = L(1 / x,y,x) \ 1. L(1 / x,y,x) \ 1 = R(x,y,x). 1 / R(x,y,x) = L(1 / x,y,x). L(1 / x,y,x) = 1 / R(x,y,x). R(T(x,y),z,u) != w | T(R(x,z,u),y) = w. T(R(x \ 1,y,x),T(x,z)) = 1 / L(x,y,x). K(x,T(y,z) \ u) != w | K(x,(K(z,y) / y) * u) = w. K(x,(K(y,z) / z) * y) = K(x,((z * z) \ y) * z). K(x,((y * y) \ z) * y) = K(x,(K(z,y) / y) * z). K(x,y) * (z \ 1) = (z / K(x,y)) \ 1. (x / K(y,z)) \ 1 = K(y,z) * (x \ 1). (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). L(x,y,z * (K(u,w) * (v5 \ 1))) = L(x,y,z * (v5 * K(w,u))). (x \ K(y,z)) \ 1 = K(z,y) * ((x \ 1) \ 1). K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. K((K(x,y) * (z \ 1)) \ u,w) != v5 | K((z * K(y,x)) * u,w) = v5. K(x,T(((y \ 1) * z) \ u,u * (y * y))) = K(x,(y * ((y \ 1) \ u)) / (y * z)). (x \ 1) \ K(y,x) = x * K(x * (x * y),x). x * K(x * (x * y),x) = (x \ 1) \ K(y,x). L(x,y,x) \ 1 = R(x \ 1,y,x). R(x \ 1,y,x) = L(x,y,x) \ 1. K(x,y) * T(T(z,z \ 1),u) = (T(z,u) \ K(y,x)) \ 1. K(x,y) * T((z \ 1) \ 1,u) = (T(z,u) \ K(y,x)) \ 1. T((x \ 1) \ K(y,x),x * y) = R(x,x * y,x). T(x,y) \ T((x \ 1) \ K(z,x),y) != u | K(x * (x * z),T(x,y)) = u. K(x,K(y,z * (u \ 1))) != w | K(x,K(y,z / u)) = w. T(x,((y * y) \ z) * u) != w | T(x,y \ (y \ (z * u))) = w. T(x,(y \ L(y,z,u)) / w) != v5 | T(x,(L(y,z,u) \ y) \ (w \ 1)) = v5. T(T(x,y * y),z) != u | T(x,y * (y * z)) = u. T(x,T(y,y \ 1) * z) != u | T(x,y * z) = u. T(x,L(y \ 1,z,u) * w) != v5 | T(x,L(1 / y,z,u) * w) = v5. K(((x * x) \ y) * z,u) != w | K(x \ (x \ (y * z)),u) = w. T(T(x,y),z * z) != u | T(x,z * (z * y)) = u. K(x,T(L((y \ 1) \ z,u,w),v5)) = K((x \ v5) \ v5,L(y * z,u,w)). K((x \ y) \ y,L(z * u,w,v5)) = K(x,T(L((z \ 1) \ u,w,v5),y)). x * y != (z \ ((y \ (z * u)) * y)) * z | y \ (u * z) = x. x \ (y * z) = (x \ (z * y)) * K(x * (z \ (x \ (z * y))),z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). (1 / x) \ K(y,z) = x * K(y,(u \ 1) \ (u \ z)). x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). K(x,L(y * z,z,y)) = K(x,y * z). K(x,K(y,z * u)) = K(x,K(z * u,L(y,u,z))). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,y / ((1 / z) * u)) = K(x,y * ((z * u) \ (z * z))). K(x,y * ((z * u) \ (z * z))) = K(x,y / ((1 / z) * u)). 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,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. K(x,y / (T(z,u) \ w)) = K(x,y * ((z \ w) \ K(z,u))). K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). K(x,T((y \ 1) * z,u)) != w | K(x,T(y \ z,u)) = w. x != K(y,z * (1 / u)) | K(y,z / u) = x. 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,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,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. x * y != z * ((1 / z) \ u) | x \ ((z * z) * u) = y. ((1 / x) \ y) \ ((x * x) * y) = T(x,x * y). T(x * K(y,x),x \ y) != z | R(x,x \ y,x) = z. R(x,x \ y,x) = R(x,x \ L(y,x,x),x). R(x,x \ L(y,x,x),x) = R(x,x \ y,x). R(x,(x \ 1) * y,x) = R(x,x \ y,x). 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 * y) * K(T(z,y),x * y)) / u = (x * y) / (u * K(y * x,z)). ((x * y) / x) / z = K(x,y) * (y / z). (x / y) / z = K(y,y \ x) * ((y \ x) / z). K(x,x \ y) * ((x \ y) / z) = (y / x) / z. T(x,(y * z) \ 1) != u | T(x,z \ (y \ 1)) = u. T(x,y \ (L(z,y,z) \ 1)) = T(x,z / (z * (y * z))). T(x,(y * y) * ((z * u) \ 1)) != w | T(x,(u / (y * y)) \ (z \ 1)) = w. T(x,y \ (L(y,z,u) * (y \ w))) = T(x,((y * y) \ L(y,z,u)) * w). T(x,T(y / z,y) / u) != w | T(x,(z \ y) / u) = w. T(x,(y / z) * (u * u)) = T(x,y * (z \ (u * u))). T(x,(y \ L(y,z,z)) \ u) = T(x,u * a(z,z,y)). K(x / (T(y,z) / u),w) = K(x * ((y / u) \ K(z,y)),w). K(x * ((y / z) \ K(u,y)),w) = K(x / (T(y,u) / z),w). x != (y \ 1) / z | y / (z * (y * y)) = x. x / ((y / ((x \ 1) \ 1)) * (x * x)) = T(x \ 1,(x \ 1) \ 1) / (y / (1 / (x \ 1))). T(x \ 1,(x \ 1) \ 1) / (y / (1 / (x \ 1))) = x / ((y / ((x \ 1) \ 1)) * (x * x)). a(x,y,K(z,u)) * (1 / w) = a(x,y,K(z,u)) / w. T(1 / (x * K(y,z)),K(z,y)) != u | 1 / (K(y,z) * x) = u. 1 / (K(x,y) * z) = (1 / z) * K(y,x). K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. T(x,y \ ((z * z) * T(u,z * z))) = T(x,z * (z * (y \ u))). K(x,(((y * y) \ z) * u) * y) = K(x,(K(z * u,y) / y) * (z * u)). K(x,(K(y * z,u) / u) * (y * z)) = K(x,(((u * u) \ y) * z) * u). x * K(y,T((z \ 1) \ u,w)) = (1 / x) \ K(y,T(z * u,w)). (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). K(x,L(y * z,u,w)) = K(x,L(y / (1 / z),u,w)). K(x,L(y / (1 / z),u,w)) = K(x,L(y * z,u,w)). K(x,L(T(y,z \ 1) * (1 / (z \ 1)),u,w)) = K(x,L(((z \ 1) \ (y * ((z \ 1) \ 1))) / z,u,w)). K(x,L(((y \ 1) \ (z * ((y \ 1) \ 1))) / y,u,w)) = K(x,L(T(z,y \ 1) * (1 / (y \ 1)),u,w)). K(x,L(y / z,u,w)) = K(x,L(y * (1 / z),u,w)). K(x,L(y * (1 / z),u,w)) = K(x,L(y / z,u,w)). K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. K(x,L((1 / y) \ z,u,w)) = K(x,L(T(z,1 / y) * y,u,w)). K(x,L(T(y,1 / z) * z,u,w)) = K(x,L((1 / z) \ y,u,w)). x != y * ((y \ z) * y) | z * L(y,y * z,y) = x. x * L(y,y * x,y) = T(T(y,y \ 1) * x,L(y,z,z)). T(T(x,x \ 1) * y,L(x,z,z)) = y * L(x,x * y,x). T(x \ a(y,z,K(u,w)),K(a(y,z,u),w)) != v5 | K(a(y,z,u),w) * (x \ 1) = v5. L(x,L((y * K(z * y,u)) \ 1,z,u) \ w,v5) = L(x,((u * z) \ ((z * y) * u)) \ w,v5). L(x \ y,y / x,x \ y) = T(y / x,(y / x) * y). L(T(x \ 1,y),x \ 1,x) != z | T(1 / x,y) = z. T(1 / x,y) = T(x \ 1,x \ (x \ y)). T(x \ 1,x \ (x \ y)) = T(1 / x,y). T(x \ 1,x \ y) = T(1 / x,x * y). T(1 / x,x * y) = T(x \ 1,x \ y). T(x \ 1,x \ T(y,x)) = T(1 / x,y * x). ((x \ 1) * T(x \ 1,x \ (x \ y))) * z = T(1 / x,y) * (x \ z). a(x,(y \ z) \ z,u) = a(x,T(y,z),u). x != T((y \ 1) \ K(z,y),y * z) | R(y,y * z,y) = x. R(x,x * y,x) = L(T(x * K(y,x),x * y),x,x). L(T(x * K(y,x),x * y),x,x) = R(x,x * y,x). L(R(x,y,x),x,x) = T((x \ 1) \ K(x * y,x),y). T((x \ 1) \ K(x * y,x),y) = L(R(x,y,x),x,x). L(L(x,y,x),x,x) = R(x,x * y,x). L(L(x,y,z),u,w) != v5 | L(L(x,u,w),y,z) = v5. L(L(x,x,x),y,x) = R(x,x * y,x). L(L(x,x,x),y,x) != z | R(x,(x \ 1) * y,x) = z. R(x,(x \ 1) * y,x) = R(x,x * y,x). R(x,(x \ 1) * y,x) != z | R(x,x \ y,x) = z. R(x,x \ y,x) = R(x,x * y,x). R(x,x \ y,x) != z | (x \ y) \ T(y,x) = z. (x \ y) \ T(y,x) = R(x,x * y,x). R(x,x * y,x) = (x \ y) \ T(y,x). K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. (x * (y * z)) / T(x * y,z) = L(z,y,x). L(x,y,z) = (z * (y * x)) / T(z * y,x). L(x,y,z) \ (z * (y * x)) = T(z * y,x). L(x \ y,x,z) = (z * y) / T(z * x,x \ y). (x * y) / T(x * z,z \ y) = L(z \ y,z,x). (x * (y * z)) / T(x * y,z) != u | u = L(z,y,x). (x * (y * z)) / T(x * y,z) != u | L(z,y,x) = u. (x * y) / T(x * (y * z),z \ 1) = L((y * z) \ y,y * z,x). L((x * y) \ x,x * y,z) = (z * x) / T(z * (x * y),y \ 1). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) != w | L(y,K(z,T(u,y)),x) = w. T(x,y \ R(z \ 1,y,z)) = T(x,z / (z * (y * z))). T(x \ y,y \ x) = T(y / x,(y / x) * y). T(x / y,(x / y) * x) = T(y \ x,x \ y). x * T(y \ x,x \ y) = L(x / y,x,x / y) * x. L(x / y,x,x / y) * x = x * T(y \ x,x \ y). T(x,y \ R(z \ 1,u,z)) != w | T(x,y \ (z \ 1)) = w. T(x,y \ (z \ 1)) = T(x,z / (z * (y * z))). T(x,y / (y * (z * y))) = T(x,z \ (y \ 1)). T(x * T(y \ x,x \ y),x / y) = x * (x / y). T(x / (x \ y),x / y) = x * (x / y). (x \ (y * y)) * K(z,u) = x \ ((y * y) * K(z,u)). x \ ((y * y) * K(z,u)) = (x \ (y * y)) * K(z,u). (x * x) \ ((y \ (x * x)) * K(z,u)) = T(y,x * x) \ K(z,u). (K(x,T(y,z)) * z) * (1 / z) = (z \ K(x,y)) * z. K(x,T(y,z)) * (z \ 1) = z \ K(x,y). L(x,y * (z \ K(z,u)),w) != v5 | L(x,y * ((u * z) / u),w) = v5. L(x,y * ((z * u) / z),w) = L(x,y * (u * K(u,z)),w). K(T((x \ 1) \ 1,y) * z,u) != w | K(T(x,y) * z,u) = w. T(x,((y * y) / z) * u) = T(x,(y * y) * (z \ u)). x != T(y,(z * z) * u) | T(y,z * (z * u)) = x. T(x,y * (y * (z \ u))) = T(x,((y * y) / z) * u). T(x,((y * y) / z) * u) = T(x,y * (y * (z \ u))). T(x,y / (z \ 1)) != u | T(x,y * z) = u. T(x,T(y,z \ u) * (u \ z)) = T(x,(u \ z) * y). T(x,T(y,z) * ((u * z) \ u)) = T(x,((u * z) \ u) * y). T(x,T(y,z) * (z \ 1)) = T(x,(z \ 1) * y). T(T(x,K(y,(y \ 1) \ (y \ z))),T((y \ 1) \ (y \ z),y) * (y \ 1)) != u | T(x,y \ (1 * T(1 \ z,y))) = u. T(x,y \ (1 * T(1 \ z,y))) = T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))). T(T(x,K(y,(y \ 1) \ (y \ z))),(y \ 1) * ((y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). K(x,(y * y) * ((z \ 1) * u)) = K(x,(z / (y * y)) \ u). K(x,y * (L(z,y,y) * u)) = K(x,y \ ((y * (y * z)) * u)). K(x,y \ ((y * (y * z)) * u)) = K(x,y * (L(z,y,y) * u)). K(x,y * (((1 / y) * y) * (z * ((y * y) \ u)))) = K(x,y \ (T(z,y \ (y \ 1)) * u)). x * (y * (x \ (1 / x))) = T((x \ 1) * y,x \ (x \ 1)). T((x \ 1) * y,x \ (x \ 1)) = x * (y * (x \ (1 / x))). x \ T(y,z) = (1 / x) * T(x \ ((x \ 1) \ y),z). (1 / x) * T(x \ ((x \ 1) \ y),z) = x \ T(y,z). (1 / x) * T(x \ ((x \ 1) \ y),x) != z | (x \ (x \ y)) * ((x \ 1) \ 1) = z. (x \ (x \ y)) * ((x \ 1) \ 1) = x \ T(y,x). x \ (T(y,z \ (z \ 1)) * x) = T(y,z \ (z \ x)). T(T(x,y \ (y \ 1)),z) = T(x,y \ (y \ z)). T(T(x,y),z \ (z \ 1)) = T(x,z \ (z \ y)). T(x,y \ (y \ 1)) = T(x,y \ (y \ x)). T(x,y \ (y \ 1)) = T((z * x) / z,y \ (y \ z)). T((x * y) / x,z \ (z \ x)) = T(y,z \ (z \ 1)). T((x * y) / x,z \ (z \ x)) != u | T(y,z \ (z \ 1)) = u. x * K(y * y,x) = T(x,y \ (y \ x)). T(x,y \ (y \ x)) = x * K(y * y,x). K(x \ (x \ 1),y) * (y \ z) = T(y,x \ (x \ y)) \ z. T(T(x,y \ (y \ x)),z) = T(x,y \ (y \ z)). K(x,y \ (y \ x)) = K(y * y,x). L(x,y,T(T(z,u \ (u \ z)),w)) = L(x,y,T(z,w)). T(x,y \ (y \ x)) \ z = K(x,y * y) * (x \ z). T(T(x,y),z \ (u \ ((u * z) \ 1))) = T(x,(u * z) \ ((u * z) \ y)). T(T(x,y \ (y \ z)),u) = T(T(x,z),y \ (y \ u)). T((x * y) / x,x \ 1) = T(y,x \ (x \ 1)). L(x,y,T(z,u \ (u \ w))) = L(x,y,T(z,w)). L(x,y,T(z,u \ w)) = L(x,y,T(z,u * w)). L(x,y,T(T(z,u) / u,u \ 1)) != w | L(x,y,(u \ 1) * ((((u \ 1) \ 1) \ z) / (u \ 1))) = w. L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z * 1)). K(x \ (x \ y),y) = K(y,x * x). T(T(x,y \ z),u) = T(T(x,y * z),y \ (y \ u)). T(T(x,y * z),y \ (y \ u)) = T(T(x,y \ z),u). T(T(x,y \ 1),z) = T(T(x,y),y \ (y \ z)). T(T(x,y),y \ (y \ z)) = T(T(x,y \ 1),z). T(T(x,y),z \ (z \ 1)) != u | u = T(x,z \ (z \ y)). T(T(x,y),z \ (z \ 1)) != u | T(x,z \ (z \ y)) = u. T(T(x,a(y,y,z)),a(y,y,z) \ (a(y,y,z) \ u)) = T(x,u). T(T(x,L(1 / y,z,u) * w),L(1 / y,z,u) \ (y * (L(y,z,u) \ y))) = T(T(x,L(1 / y,z,u) \ w),1). T(T(x,T(y \ z,z \ y) * (z / y)),T(y \ z,z \ y) \ (T(y \ z,z \ y) \ u)) = T(T(x,(z / y) * (1 / (y \ z))),u). T(T(x,(L(y,z,u) \ y) * w),(L(y,z,u) \ y) \ (y \ L(y,z,u))) = T(T(x,(L(y,z,u) \ y) \ w),1). x * (y \ T(y \ 1,z)) = (x / y) * T(y \ 1,z). (x / y) * T(y \ 1,z) = x * (y \ T(y \ 1,z)). (x / y) * T(y \ 1,y * x) != z | (1 / y) * (x / y) = z. (1 / x) * (y / x) = y * (x \ T(x \ 1,x * y)). x * (y \ T(y \ 1,y * x)) = (1 / y) * (x / y). x * (y \ T(y \ 1,x * y)) = (1 / y) * (x / y). (x \ T(x \ 1,y * x)) * R(y,x \ T(x \ 1,y * x),y) = T((1 / x) * (y / x),y). T(x * K((1 / y) * (x / y),x),y \ T(y \ 1,x * y)) = R(x,y \ T(y \ 1,x * y),x). T(x,(y / (z \ 1)) / u) = T(x,(y / (1 / z)) / u). T(x,(y / (1 / z)) / u) = T(x,(y / (z \ 1)) / u). T(K(x,x \ y) / T(x,z),x) = K(x,x * y) / T(x,z). T(x,(y \ 1) * ((y \ 1) * z)) != u | T(x,y \ (y \ z)) = u. T(x,y \ (y \ z)) = T(x,z * (y \ (1 / y))). T(x,y * (z \ (1 / z))) = T(x,z \ (z \ y)). T(x,y * (z * (u \ (1 / u)))) = T(x,u \ (u \ (y * z))). x != K(y,z / ((1 / u) * w)) | K(y,z / ((u \ 1) * w)) = x. K(x,y / ((z \ 1) * u)) = K(x,y * ((z * u) \ (z * z))). K(x,y * ((z * u) \ (z * z))) = K(x,y / ((z \ 1) * u)). K(x,y * (((z * K(z * u,z)) \ w) \ K(z * K(z * u,z),u))) = K(x,y / (R(z,u,z) \ w)). x * y != T(T(z,z \ 1) * x,L(z,z,z)) | L(R(z,x,L(z,z,z)),z,z) = y. L(R(x,y,L(x,x,x)),x,x) = L(x,x * y,x). L(R(x,y,x),x,x) = L(x,x * y,x). L(R(x,y,x),x,x) != z | T((x \ 1) \ K(x * y,x),y) = z. T((x \ 1) \ K(x * y,x),y) = L(x,x * y,x). T(x,y) != L(z,z * y,z) | z * K(z \ y,z) = x. x * K(x \ y,x) = (x \ 1) \ K(x * y,x). (x \ 1) \ K(x * y,x) = x * K(x \ y,x). (x \ 1) \ K(y,x) = x * K(x \ (x \ y),x). x * K(x \ (x \ y),x) = (x \ 1) \ K(y,x). L(x \ (y * K(y \ z,y)),x,y) = ((y \ 1) * x) \ K(y * z,y). x * y != (x \ 1) \ K(z,x) | K(x * (x * z),x) = y. K(x * (x * y),x) = K(x \ (x \ y),x). K(x \ (x \ y),x) = K(x * (x * y),x). T(x,y) \ T((x \ 1) \ K(z,x),y) = K(x \ (x \ z),T(x,y)). T((x \ 1) \ K(y,x),x \ y) = (x \ y) / ((((x \ y) \ y) \ y) / x). (x \ y) / ((((x \ y) \ y) \ y) / x) = T((x \ 1) \ K(y,x),x \ y). L(x,y * ((z * u) / z),w) = L(x,y * T(u,z),w). L(x,y * (z / u),w) = L(x,y * T(u \ z,u),w). L(x,y * T(z \ u,z),w) = L(x,y * (u / z),w). L(x,y * T(z \ y,z),u) != w | L(x,(z \ y) * y,u) = w. L(x,(y \ z) * z,u) = L(x,z * (z / y),u). L(x,L(T(y \ z,y),(y \ z) \ z,(y \ z) \ z),u) = L(x,z * (z / (y \ z)),u). x != T(y,(z \ u) * u) | T(y,u * (u / z)) = x. T(x,y * (y / (y * z))) = T(x,T(y,z) * ((y * z) \ y)). T(x,T(y,z) * ((y * z) \ y)) = T(x,y * (y / (y * z))). K(x,y * (y * ((z \ 1) * u))) = K(x,(z / (y * y)) \ u). T((x \ 1) * (x \ y),x \ (x \ 1)) != z | K(x,x \ 1) * (y / (x * x)) = z. K(x,x \ 1) * (y / (x * x)) = x * ((x \ y) * (x \ (1 / x))). x * (y \ z) != T(y,u \ (u \ y)) \ z | K(y,u * u) = x. K(x,y * y) = K(y \ (y \ 1),x). K(x \ (x \ 1),y) = K(y,x * x). K(x,((y * z) \ (y * y)) * T(u,(y * z) \ (y * y))) = K(x,u / ((y \ 1) * z)). T(x,y * ((z * y) \ y)) = T(x,y * (y / (y * z))). T(x,y * (y / (y * z))) = T(x,y * ((z * y) \ y)). x != T(y,z * ((u * z) \ z)) | T(y,u \ z) = x. T(x,y \ z) = T(x,z * (z / (z * y))). T(x,y * (y / (y * z))) = T(x,z \ y). T(x,y * (y / z)) = T(x,(y \ z) \ y). T(x,(y \ z) \ y) = T(x,y * (y / z)). T(x,((y \ z) * (y \ z)) * z) = T(x,z * (z / (y * ((y \ z) \ 1)))). T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,((z \ y) * (z \ y)) * y). K(x,y * (y * ((z \ 1) * u))) = K(x,(y * y) * (z \ u)). x != K(y,(z * z) * u) | K(y,z * (z * u)) = x. K(x,y * (y * (z \ u))) = K(x,y * (y * ((z \ 1) * u))). K(x,y * (y * ((z \ 1) * u))) = K(x,y * (y * (z \ u))). K(x,y * (y * (z * u))) = K(x,y * (y * ((1 / z) \ u))). K(x,y * (y * ((1 / z) \ u))) = K(x,y * (y * (z * u))). L(x \ (y * K(z,u)),x,y) = ((1 / y) * x) \ K(z,u). T(x,y * ((z * z) \ (u / y))) != w | T(x,T(z \ (z \ u),y)) = w. K(x,L(y \ T(y * z,y \ 1),u,w)) != v5 | K(x,L(((y \ 1) \ z) / y,u,w)) = v5. K(x,L(y * (z \ K(z,u)),w,v5)) != v6 | K(x,L(y / ((u * z) / u),w,v5)) = v6. K(x,L(y * (K(z,y) * (u \ 1)),w,v5)) != v6 | K(x,L((y * K(z,y)) / u,w,v5)) = v6. K(x,L(((y \ 1) \ z) * (1 / y),u,w)) != v5 | K(x,L(((1 / y) \ z) / y,u,w)) = v5. K(x,L(y / (z \ K(u,w)),v5,v6)) != v7 | K(x,L(y * (K(w,u) * z),v5,v6)) = v7. T((x * y) / x,(z \ x) \ T(z,z \ x)) != u | T(y,(z \ x) \ ((z \ x) \ 1)) = u. T(((x \ 1) * y) / (x \ 1),(z * (1 / x)) \ ((z * (x \ 1)) \ (1 / x))) != u | T(y,(z * (1 / x)) \ ((z * (1 / x)) \ 1)) = u. x != K(y,z / L(1 / u,w,v5)) | K(y,z / L(u \ 1,w,v5)) = x. K(x,y / L(z \ 1,u,w)) = K(x,y * (L(z,u,w) \ (z * z))). K(x,y * (L(z,u,w) \ (z * z))) = K(x,y / L(z \ 1,u,w)). K(x,y \ (z * T(u / w,u))) != v5 | K(x,y \ (z * (w \ u))) = v5. x != K(y,(z \ 1) * u) | K(y,z \ u) = 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 \ (T(z / u,z) * w)) != v5 | K(x,y \ ((u \ z) * w)) = v5. (x \ (1 / x)) * T(((1 / x) \ 1) * (x \ y),x * x) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). K(x,T(y,z * u) * ((z \ 1) \ u)) != w | K(x,((z \ 1) \ u) * y) = w. K(x,((y \ 1) \ z) * u) = K(x,((1 / y) \ z) * u). K(x,((1 / y) \ z) * u) = K(x,((y \ 1) \ z) * u). T(x,((1 / y) * z) * u) != w | T(x,((y \ 1) * z) * u) = w. T(x,((L(y,z,u) \ 1) * y) * w) = T(x,(y \ L(y,z,u)) \ w). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. K(K(x,y) * K(x,z),K(z,x) * K(y,x)) != u | K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))) = u. K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). L(x,y,z * (K(u,z) * (w \ 1))) != v5 | L(x,y,(z * K(u,z)) * w) = v5. L(x,y,(z * K(u,z)) * w) = L(x,y,z * (w * K(z,u))). L(x,y,z * (K(u,z) * w)) = L(x,y,z * (w * K(z,u))). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). ((x * y) / z) \ (y * x) != u | z * K(y,x) = u. 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)). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). K(x,T((((y * z) \ y) \ 1) \ x,u)) != w | K(x,1 \ (((y * T(z,u)) \ y) * x)) = w. K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,L(T(y,z \ 1) * z,u,w)) = K(x,L((1 / z) \ y,u,w)). ((x * x) \ (y \ (x * x))) * K(z,u) = T(y,x * x) \ K(z,u). x != y * ((y \ z) * (u \ (1 / u))) | z * (u \ (1 / u)) = x. x * (y \ (1 / y)) = K(y,y \ 1) * (x / (y * y)). K(x,x \ 1) * (y / (x * x)) = y * (x \ (1 / x)). K(x,y * (z * (L(z,u,w) \ z))) = K(x,y / L(z \ 1,u,w)). T(x,((L(y,z,u) \ 1) * y) * w) != v5 | T(x,(y * (L(y,z,u) \ 1)) * w) = v5. T(x,(y * (L(y,z,u) \ 1)) * w) = T(x,(y \ L(y,z,u)) \ w). T(x \ 1,y * y) * K(z,u) = T(x,y * y) \ K(z,u). x * K(y,z) != u \ K(y,z) | u \ 1 = x. T(x,y * y) \ 1 = T(x \ 1,y * y). T(x \ 1,y * y) = T(x,y * y) \ 1. x \ y != T(z,u * u) \ 1 | x * T(z \ 1,u * u) = y. x * T(x \ 1,y * y) = K(y * y,x). L(x,y,T(z,u * u) * (T(z \ 1,u * u) \ w)) = L(x,y,w). K(x,y * y) = K(y * y,x \ 1). K(x * x,y \ 1) = K(y,x * x). a(x,y,z * K(z,u * u)) = a(x,y,z). a(x,y,T(z,u * u)) = a(x,y,z). a(x,y,((z * z) \ u) * z) = a(x,y,u * (z \ 1)). a(x,y,((z * z) \ u) * w) != v5 | a(x,y,u * w) = v5. a(x,y,z * u) = a(x,y,z * (u \ 1)). a(x,y,z * (u \ 1)) = a(x,y,z * u). a(x,y,z * u) = a(x,y,z * (1 / u)). a(x,y,z * (1 / u)) = a(x,y,z * u). a(x,y,L(z,u,w) \ z) = a(x,y,z * L(z,u,w)). K(x,y * (z * a(u,u,z))) = K(x,y / L(z \ 1,u,u)). K(x,y / L(z \ 1,u,u)) = K(x,y * (z * a(u,u,z))). L(x,y,T(z,u * u) * w) != v5 | L(x,y,z * w) = v5. L(x,y,z * (T(z \ 1,u * u) \ w)) = L(x,y,w). L(x,y,z * (T(z \ 1,u) \ w)) != v5 | L(x,y,K(u,z \ 1) * w) = v5. L(x,y,K(z * z,u \ 1) * w) = L(x,y,w). L(x,y,K(z,u * u) * w) = L(x,y,w). L(x \ (y * K(z,u)),x,y) != w | ((1 / y) * x) \ K(z,u) = w. ((1 / x) * y) \ K(x \ z,x) = ((x \ 1) * y) \ K(x * z,x). ((1 / x) * y) \ K(x \ y,x) != z | L(y / x,x,x) \ 1 = z. L(x / y,y,y) \ 1 = ((y \ 1) * x) \ K(y * x,y). ((x \ 1) * y) \ K(x * y,x) = L(y / x,x,x) \ 1. L(x,y,L(z / u,u,u) \ 1) = L(x,y,((u \ 1) * z) * K(u * z,u)). L(x,y,((z \ 1) * u) * K(z * u,z)) = L(x,y,L(u / z,z,z) \ 1). K(x,y \ ((1 / z) * u)) != w | K(x,y \ ((z \ 1) * u)) = w. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. a(x,y,K(z,u)) = a(K(x,u),y,z). a(K(x,y),z,u) = a(x,z,K(u,y)). a(K(x,y),z,u) != w | K(x,x * a(y,z,u)) = w. K(x,x * a(y,z,u)) = a(x,z,K(u,y)). a(K(x,y),z,u) != w | a(L(K(y,x),K(x,y),K(x,y)),z,u) = w. a(L(K(x,y),K(y,x),K(y,x)),z,u) = a(y,z,K(u,x)). a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. a(x,y,K(z,u)) = a(z,y,K(u,x)). a(x,y,K(z,u)) = a(u,y,K(x,z)). x \ y != a(K(z,u),w,v5) | x * a(z,w,K(v5,u)) = y. (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). a(K(x,y),z,u) = a(x,z,K(u,L(y,w,x))). a(x,y,K(z,L(u,w,x))) = a(K(x,u),y,z). a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(y * x) \ z)). K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | a(K(y,w),z,u) = x. a(K(x,y),z,u) = a(u,z,K(y,x)). x != a(y,z,K(u,w)) | L(K(w,u),z,y) * K(u,w) = x. L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). 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,z * u)) | 1 = x. 1 = a(x,y,K(y * x,z)). a(x,y,K(y * x,z)) = 1. x \ y != a(z,u,K(w,v5)) | x * a(w,u,K(v5,z)) = y. x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). a(x,y,K(z,u)) != w | a(x,y,K(z * u,u)) = w. a(x,y,K(z * u,u)) = a(u,y,K(x,z)). a(x,y,K(z,u)) != w | K(z,u) * L(K(u,z),y,x) = w. K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). 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(u,y,K(x,K(z,w))). a(x,y,K(z * u,w)) = a(w,y,K(x,T(z,w) * u)). a(x,y,K(z,T(u,x) * w)) = a(z,y,K(u * w,x)). K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. 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. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. L(K(x * y,z),x,y) = K(x * y,z). x != a(y,z,K(u,w)) | L(K(u,w),z,y) \ K(u,w) = x. L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). x \ y != a(z,u,K(w,v5)) | x * a(K(v5,w),u,z) = y. x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). x \ y != K(z,a(u,w,v5)) | x * a(z,w,K(v5,u)) = y. x * a(a(y,z,u) \ x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). x * a(x,y,K(z,u)) = T(x,a(u,y,z)). a(x,y,z) * a(u,y,K(z,x)) = (u * a(x,y,z)) / u. (x * a(y,z,u)) / x = a(y,z,u) * a(x,z,K(u,y)). x * y != K(z,a(u,w,v5)) | x \ a(z,w,K(v5,u)) = y. a(x,y,z) \ a(u,y,K(z,x)) = T(a(x,y,z),u) \ 1. a(x,y,K(y \ 1,z)) != u | 1 = u. 1 = K(x,a(y,z,z \ 1)). K(x,a(y,z,z \ 1)) = 1. a(x,y,K(z,u * (u * w))) = K(x,a(L(w,u,u),y,z)). T(x,a(y,z,u)) = a(x,z,K(u,y)) * x. a(x,y,K(z,u)) * x = T(x,a(u,y,z)). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. (x * y) / ((a(z,u,w) * y) / a(z,u,w)) = x * a(y,u,K(w,z)). L(x,y,a(y,z,K(u,w))) = x. L(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). T(x,a(y,z,z \ 1)) = 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). T(a(x,y,y),z) = a(x,y,y). x \ y != T(z,a(u,w,w)) | x * z = y. L(a(x,y,y),z,u) * (u * z) = u * (z * a(x,y,y)). x != T(y,a(z,u,u)) | x = y. T(x,a(y,z,z)) != u | u = x. x / a(y,z,z) != u | a(y,z,z) \ x = u. x * (T(y,x) * a(z,u,u)) = L(a(z,u,u),y,x) * (y * x). L(a(x,y,y),z,u) * (z * u) = u * (T(z,u) * a(x,y,y)). (x * a(y,z,z)) / (a(y,z,z) * T(x,u)) = K(u,x). K(x * y,L(z,x,y)) = K(x * y,z). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z,u * x)) = a(x,y,K(z,u)). x != a(K(y,z),u,w) | a(y,u,K(w,z)) = x. a(x,y,K(z,u)) = a(x,y,K(z,L(u,w,x))). a(x,y,K(z,L(u,w,x))) = a(x,y,K(z,u)). a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (x \ w))). a(x,y,K(z,u \ (x * w))) = a(x,y,K(z,(x \ u) \ w)). a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u \ (x * w))). a(x,y,K(z,(u * x) \ (x * w))) = a(x,y,K(z,T(u,x) \ w)). a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. a(x,y,K(z,T(u,w))) = a(T(x,w),y,K(z,u)). a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. a(x,y,K(z \ (u / w),z)) != v5 | a(z,y,K(x,u / (z * w))) = v5. a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). x \ y != a(z,u,K(w,v5)) * K(w,L(v5,u,z)) | x * K(w,v5) = y. a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). K(x,y) * a(x,T(z,u),K(w,y)) = K(x,L(y,z * K(u,z),w)). K(x,L(y,z * K(u,z),w)) = K(x,y) * a(x,T(z,u),K(w,y)). K(x,T(y,z)) * a(x,u,K(y \ (w \ v5),T(y,z))) = K(x,L(T(y,z),u,(w * y) \ v5)). x * a(K(y,z),u,w) != v5 * a(w,u,K(z,y)) | x = v5. a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,L(u,u,w))). K(x,L(y,z,L(u,u,w))) = a(y,z,K(x,u)) * K(x,y). a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). x != L(K(y,K(z,u)),w,v5) | K(z,K(u,L(y,w,v5))) = x. K(x,K(y,L(z,u,w))) = a(z,u,K(w,K(x,y))) * K(z,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. (1 / x) * a(x,y,K(z,u)) != w | T(1 / x,a(u,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,v5))) = K(x,L(a(u,y,z),w,v5)). a(K(x,y),z,u) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(z,y,K(x,u)). a(x,y,K(z,u)) = a(u,y,K(z,x)). a(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. a(x,y,K(z,u)) != w | a(z,y,K(x,u)) = w. K(x,y) * a(y,z,K(u,x)) = K(x,L(y,z,u)). a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),u). K(x,y) * a(z,u,K(x,y)) = K(x,L(y,u,z)). K(x,y) * a(x,z,K(y,u)) = L(K(x,y),z,u). K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u)). a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),u). (x / y) * a(y,z,K(u,w)) = x / T(y,a(w,z,u)). a(x,y,z) * a(u,y,K(z,x)) != w | T(a(x,y,z),u) = w. x * a(y,z,K(u,x)) = T(x,a(y,z,u)). T(T(x,a(y,z,u)),a(y,z,u)) = x. T(x,a(y,z,u)) != w | (a(y,z,u) * x) / a(y,z,u) = w. a(x,y,K(z,T(u,w))) != v5 | a(w * (u / w),y,K(z,x)) = v5. a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(x,w))) = v5. K(x,y) * K(y,L(x,z,u)) != w | w = a(u,z,K(y,x)). K(x,y) * K(y,L(x,z,u)) != w | a(u,z,K(y,x)) = w. x != K(y,L(z,u,w)) | L(K(y,z),z * u,w) = x. L(K(x,y),y * z,u) = K(x,y) * a(x,z,K(y,u)). K(x,y) * a(x,z,K(y,u)) = L(K(x,y),y * z,u). a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),u * z). K(x,y) * z != L(K(x,y),u,w) | a(x,u,K(y,w)) = z. a(x,y * z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) = a(x,z \ y,K(z,u)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,y \ z,K(u,y)) = a(u,z,K(y,x)). a(x,x \ y,K(z,u)) = a(u,y,K(x,z)). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u \ z,u)). K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). a(T(x,y) \ z,T((x \ z) \ z,y),K(u,w)) = a(w,z,K(T(x,y) \ z,u)). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). x != K(y,z) * a(y,u,K(w,z)) | K(y,L(z,u,w)) = x. 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 \ y) \ z,L(u,x \ y,x)) != w | K(y \ (x * z),u) = w. K(x \ (y * z),u) = K((y \ x) \ z,L(u,x,y)). K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). 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,T(z * u,u \ 1),u \ 1)) = K(x,L(y,R(z,u,u),u \ 1)). K(x,L(y,T(1 / (z / u),z),(1 / (z / u)) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). K(x,L((y \ z) \ u,u,y)) != w | K(x,z \ (y * u)) = w. K(x,y \ (z * (z * u))) = K(x,L((z \ y) \ (z * u),u,z)). K(x,L((y \ z) \ (y * u),u,y)) = K(x,z \ (y * (y * u))). K(x,(y * (y * z)) \ u) = K(x,L((y * z) \ (y \ u),z,y)). K(x,L((y * z) \ (y \ u),z,y)) = K(x,(y * (y * z)) \ u). K(x,((y \ 1) * (y * z)) \ u) = K(x,L((y * z) \ ((y \ 1) \ u),z,y)). K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,((y \ 1) * (y * z)) \ u). K(x,L(y,z * u,u)) = K(x,L(y,z,u)). K(T(x,x \ y) \ z,L(u,y,x \ y)) = K(y \ ((x \ y) * z),u). K((x \ (y \ ((1 / z) \ u))) \ w,L(v5,y \ (z \ u),x)) = K((y \ ((1 / z) \ u)) \ (x * w),v5). K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. ((x * y) * z) / (x * (y * z)) = a(x,y,z) * a(x * (y * z),y,K(z,x)). a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). x != K(y,a(z,u,w)) | a(y,u,K(w,z)) = x. a(x,y,K(z,L(u,w,w))) = a(x,y,K(z,w * (w * u))). a(x,y,K(z,u * (u * w))) = a(x,y,K(z,L(w,u,u))). ((x * (y * a(z,u,u))) / y) \ (L(a(z,u,u),y,x) * (y * x)) = T(y,x). ((L(a(x,y,y),z,u) * (z * u)) / u) \ (u * (z * a(x,y,y))) = T(u,z). a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. K(x,L(y,z,L(u,u,w))) != v5 | K(x,L(y,z,u)) = v5. a(x,y,K(z,u)) = a(x,y,K(z * u,z)). a(x,y,K(z * u,z)) = a(x,y,K(z,u)). a(x,y,K(z * u,z)) != w | a(x,y,K(z,u)) = w. a(x,y,z) * a(z,y,K(x,u)) != w | T(a(x,y,z),u) = w. T(a(x,y,z),u) = T(a(x,y,z),u * z). T(a(x,y,z),u * z) = T(a(x,y,z),u). a(x,y,K(z,u * (u * w))) = a(x,y,K(z,w)). a(x,y,K(z,u * w)) = a(x,y,K(z,u \ w)). a(x,y,K(z,u \ w)) = a(x,y,K(z,u * w)). (x \ y) * a(z,u,K(w,x * y)) = T(x \ y,a(z,u,w)). a(x,y,K(z,x \ (u \ w))) = a(x,y,K(z,(u * x) \ w)). a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (u \ w))). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(z,u * w)) = v5. a(x,y,K(z,(x * u) * w)) = a(x,y,K(z,u \ (x \ w))). a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,(x * u) * w)). x != a(y,z,K(u,w \ v5)) | a(y,z,K(u,w * v5)) = x. a(x,y,K(z,u * (x * w))) = a(x,y,K(z,(x \ u) \ w)). a(x,y,K(z,(x \ u) \ w)) = a(x,y,K(z,u * (x * w))). a(x,y,K(z,x * (u \ w))) = a(x,y,K(z,(u * x) \ w)). a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x * (u \ w))). a(x,y,K(z,u * (x \ w))) = a(x,y,K(z,(x * u) * w)). a(x,y,K(z,(x * u) * w)) = a(x,y,K(z,u * (x \ w))). a(x,y,K(z,(x \ u) * w)) = a(x,y,K(z,u * (x * w))). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | w = K(x,y) * (z * u). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. T(1 / x,a(y,z,u)) = 1 / T(x,a(y,z,u)). 1 / T(x,a(y,z,u)) = T(1 / x,a(y,z,u)). a(x,y,K(z,(u * x) \ w)) != v5 | a(x,y,K(z,x * (u \ w))) = v5. a(x,y,K(z,x * (u \ (x * w)))) = a(x,y,K(z,T(u,x) \ w)). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). a(x,y,K(z,T(u,x) * w)) = a(x,y,K(z,x * (u \ (x * w)))). a(x,y,K(z,x * (u \ (x * w)))) = a(x,y,K(z,T(u,x) * w)). K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(y,z) * K(u,y),x) = w. K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). x != a(y,z,K(u,T(w,y) * v5)) | a(u,z,K(w * v5,y)) = x. a(x,y,K(z * u,w)) = a(w,y,K(x,w * (z \ (w * u)))). a(x,y,K(z,x * (u \ (x * w)))) = a(z,y,K(u * w,x)). K(x,(y * (z \ 1)) \ u) = K(x,L(z * (y \ u),y \ u,y)). K(x,L(y * (z \ u),z \ u,z)) = K(x,(z * (y \ 1)) \ u). K(x,L(y * (z \ u),u,z)) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ (y \ u)) != w | K(x,L(z * (y \ (y \ u)),u,y)) = w. T(x \ 1,x \ y) \ (y / (1 / x)) = x \ ((x * x) * ((1 / x) \ y)). K(x,x * x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). a(x,x,x) * (y * K(x \ 1,y)) = ((1 / x) * y) / (x \ 1). x != ((1 / y) * z) / (y \ 1) | ((y \ 1) * z) / (1 / y) = x. ((x \ 1) * y) / (1 / x) = a(x,x,x) * (y * K(x \ 1,y)). a(x,x,x) * (y * K(x \ 1,y)) = ((x \ 1) * y) / (1 / x). a(((x \ 1) * y) / (1 / x),z,u) = a((x \ 1) \ (y * (1 / x)),z,u). x * ((x \ y) * a(z,u,K(w,x \ y))) = y * a(z,u,K(w,x \ y)). K((x \ y) \ y,L(z * u,w,v5)) = K(x,L(T((z \ 1) \ u,y),w,v5)). ((x * y) * K(z,y * x)) / u = (x * y) / (u * K(y * x,z)). T(x,y \ (L(y,z,u) * (y \ w))) = T(x,L(1 / y,z,u) * w). x != T(y,L(1 / z,u,w) * v5) | T(y,L(z \ 1,u,w) * v5) = x. T(x,L(y \ 1,z,u) * w) = T(x,y \ (L(y,z,u) * (y \ w))). T(x,y \ (L(y,z,u) * (y \ w))) = T(x,L(y \ 1,z,u) * w). T(x,L(y,z,u) * (y \ (y \ w))) = T(x,L(y \ 1,z,u) * w). K(x,y * (((z \ u) \ u) * w)) != v5 | K(x,y * (T(z,u) * w)) = v5. K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((w * w) \ ((y \ z) \ z)) * u) * w). ((x \ 1) * T(1 / x,y)) * z = T(1 / x,y) * (x \ z). (x \ T(x \ 1,y)) * z = T(1 / x,y) * (x \ z). T(x,(y \ z) * ((y \ z) * z)) = T(x,z * (z / (y * ((y \ z) \ 1)))). T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,(z \ y) * ((z \ y) * y)). K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). K(x,x * ((y * T(z,u)) \ y)) = K(x,T(((y * z) \ y) * x,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). K(x,T(y,z) \ x) = K(x,T(((u * y) \ u) * x,z)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). x != K(y,T(z,u) \ y) | K(y,T(z \ y,u)) = x. K(x,T(y \ x,z)) = K(x,T(((u * y) \ u) * x,z)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). K(x,T((y \ z) * x,z)) != u | K(x,T((y \ z) * x,y)) = u. K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). K(x,T(x * ((y \ z) \ z),u)) != w | K(x,T(x * T(y,z),u)) = w. K(x,T(x * T(y,z),z)) = K(x,((y \ z) / z) \ x). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ T(T(x,v5),u),y)) = w. K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. ((K(x,y) * z) * u) * a(y,z,K(u,x)) != w | K(x,y) * (z * u) = w. x != y \ ((y * y) * ((1 / y) \ z)) | (y \ 1) \ ((y \ 1) \ z) = x. (x \ 1) \ ((x \ 1) \ y) = T(x \ 1,x \ y) \ (y / (1 / x)). T(x \ 1,x \ y) \ (y / (1 / x)) = (x \ 1) \ ((x \ 1) \ y). (x / (1 / y)) * K((y \ 1) \ ((y \ 1) \ x),T(y \ 1,y \ x)) = (T(y \ 1,y \ x) \ (x / (1 / y))) * T(y \ 1,y \ x). a(((x \ 1) * y) / x,z,u) = a((x \ 1) \ (y * (1 / x)),z,u). a((x \ 1) \ (y * (1 / x)),z,u) = a(((x \ 1) * y) / x,z,u). a((x \ 1) \ (y * x),z,u) = a(((x \ 1) * y) / x,z,u). a(((x \ 1) * y) / x,z,u) = a((x \ 1) \ (y * x),z,u). x != a((y \ 1) \ z,u,w) | a(y \ z,u,w) = x. a(x \ (y * x),z,u) = a(((x \ 1) * y) / x,z,u). a(((x \ 1) * y) / x,z,u) = a(x \ (y * x),z,u). a(((x \ 1) * y) / x,z,u) = a(T(y,x),z,u). x * ((x \ y) * a(z,u,K(w,x * y))) = y * a(z,u,K(w,x \ y)). K(x,T(L(y * z,u,w),v5)) = K(x,L(T((y \ 1) \ z,v5),u,w)). K(x,L(T((y \ 1) \ z,u),w,v5)) = K(x,T(L(y * z,w,v5),u)). K(x,L(T((y \ 1) \ z,u),w,v5)) = K(x,L(T(y * z,u),w,v5)). x != ((y \ K(y,z)) * T(y,u)) \ 1 | y * (K(z,y) / T(y,u)) = x. x * (K(y,x) / T(x,z)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. x * ((x \ y) * a(z,u,K(w,x * y))) = y * a(z,u,K(w,x * y)). x * T(x \ y,a(z,u,w)) = y * a(z,u,K(w,x * y)). K(x,(y * (1 / z)) * u) != w | K(x,(y * (z \ 1)) * u) = w. K(x,(y * L(z \ 1,u,z)) * w) != v5 | K(x,(y * (z \ 1)) * w) = v5. K(x * (x * y),T(x,z)) = K(x \ (x \ y),T(x,z)). K(x \ (x \ y),T(x,z)) = K(x * (x * y),T(x,z)). T(x,(y * y) / (z * u)) != w | T(x,(u / (y * y)) \ (z \ 1)) = w. T(x,(y / (z * z)) \ (u \ 1)) = T(x,z * (z / (u * y))). T(x,(y * y) * (z \ (u \ 1))) = T(x,y * (y / (u * z))). L(x,y,L(z / u,u,u)) = L(x,y,((u \ 1) * z) * K(u * z,u)). L(x,y,((z \ 1) * u) * K(z * u,z)) = L(x,y,L(u / z,z,z)). L(x,y,((z \ 1) * u) * K(u * z,z)) = L(x,y,L(u / z,z,z)). L(x,y,(z \ 1) * (u * K(u * z,z))) = L(x,y,L(u / z,z,z)). L(x,y,z * (u * K(u * z,z))) = L(x,y,L(u / z,z,z)). L(x,y,T(z * u,z)) = L(x,y,L(u / z,z,z)). L(x,y,L(z / u,u,u)) = L(x,y,T(u * z,u)). L(x,y,L(z,u,u)) = L(x,y,T(u * (z * u),u)). L(x,y,T(z * (u * z),z)) = L(x,y,L(u,z,z)). L(x,y,T(z * u,z)) != w | L(x,y,u * z) = w. L(x,y,(z * u) * u) = L(x,y,L(z,u,u)). L(x,y,R(z,u,u)) = L(x,y,L(z,u,u)). L(x,x,R(y,x,x)) != z | R(y,x,x) \ (y * x) = z. R(x,y,y) \ (x * y) = L(y,y,L(x,y,y)). L(x,x,L(y,x,x)) = R(y,x,x) \ (y * x). x != R(y,z,z) \ (y * z) | L(z,z,y) = x. L(x,x,y) = L(x,x,L(y,x,x)). L(x,x,L(y,x,x)) = L(x,x,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,L(y,T(z * u,u \ 1),u)) = K(x,L(y,R(z,u,u),u \ 1)). K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,(y * ((1 / y) * z)) \ u). ((x * (y * a(z,u,u))) / y) \ (x * (T(y,x) * a(z,u,u))) = T(y,x). ((x * (T(y,x) * a(z,u,u))) / x) \ (x * (y * a(z,u,u))) = T(x,y). ((x * (T(y,x) * a(z,u,u))) / x) \ (x * (a(z,u,u) * y)) = T(x,y). (x \ 1) * T((x \ 1) * y,z) = (1 / x) * T((1 / x) * y,z). (1 / x) * T((1 / x) * y,z) = (x \ 1) * T((x \ 1) * y,z). T(x,y * (z * ((u \ 1) * w))) = T(x,y * (z * ((1 / u) * w))). T(x,y * (z * ((1 / u) * w))) = T(x,y * (z * ((u \ 1) * w))). T(x,(y * ((1 / z) * u)) * w) = T(x,T(w,y * ((1 / z) * u)) * (y * ((z \ 1) * u))). T(x,T(y,z * ((1 / u) * w)) * (z * ((u \ 1) * w))) = T(x,(z * ((1 / u) * w)) * y). ((1 / x) \ y) \ (z * ((x \ 1) \ 1)) = (x \ y) \ ((1 / x) * T(z,x)). x != (y \ z) \ ((1 / y) * T(u,y)) | ((y \ 1) \ z) \ (u * y) = x. ((x \ 1) \ y) \ (z * x) = ((1 / x) \ y) \ (z * ((x \ 1) \ 1)). ((1 / x) \ y) \ (z * ((x \ 1) \ 1)) = ((x \ 1) \ y) \ (z * x). K(x,T(y * (1 / z),u)) != w | K(x,T(y / z,u)) = w. T(x,((y * y) / (1 / z)) / u) = T(x,(z \ (y \ (y \ 1))) \ (u \ 1)). T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) / (1 / y)) / u). x != T(y,(z / (1 / u)) / w) | T(y,(z / (u \ 1)) / w) = x. T(x,((y * y) / (z \ 1)) / u) = T(x,(z \ (y \ (y \ 1))) \ (u \ 1)). T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) / (y \ 1)) / u). T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,((z * z) * y) / u). T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,(z * z) * (y / u)). T(x,y * (y * (z / u))) = T(x,(z \ (y \ (y \ 1))) \ (u \ 1)). T(x,(y \ (z \ (z \ 1))) \ (u \ 1)) = T(x,z * (z * (y / u))). T(x,(y * y) * ((z \ 1) \ (u \ 1))) = T(x,y * (y * (z / u))). T(x,(y * y) * (z \ (u \ 1))) != w | T(x,y * (y / (u * z))) = w. T(x,y * (y / (z * (u \ 1)))) = T(x,y * (y * (u / z))). x != K(K(y,z),u) | K(z,K(y,u)) = x. K(x,K(y \ (z \ 1),u)) = K((z / (y \ 1)) * T((z / (1 / y)) \ 1,x),u). K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(y \ (x \ 1),u)). T(x,y * (z * (1 / u))) != w | T(x,y * (z * (u \ 1))) = w. T(x,T(y,z) * ((1 / z) * (z \ 1))) = T(x,(1 / z) * (((z * z) \ y) * z)). T(a(x,y,z),x * (y * z)) = ((x * y) * z) / (x * (y * z)). ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),x * (y * z)). K(x,T(y \ T(T(x,z),u),w)) != v5 | K(x,T(y \ x,w)) = v5. K(x,T((y / (y * z)) \ x,u)) = K(T(x,u),T(z * T(x,u),y)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). K(x,T(T(y * T(x,z),u),w)) != v5 | K(x,T(T(x * y,u),w)) = v5. K(x,T(T(x * y,z),u)) = K(x,T((z / (z * y)) \ x,u)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). x != K(y,T((z / (u * z)) \ y,u)) | K(y,R(1 / (1 / (1 / u)),u,z) \ y) = x. K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T(T(x * T(y,z),z),y)). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | K(y,R(z \ 1,u,w) \ v5) = x. K(x,R((1 / (1 / y)) \ 1,y,z) \ x) = K(x,T(x * T(y,z),z)). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | R(K(y,y * z),u,w) = x. R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). R(R(K(x,y),z,u),x * w,v5) != v6 | R(K(R(x,w,v5),y),z,u) = v6. R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),((u \ w) / w) \ x). K(R(x,y,z),x * (u / (w \ u))) = K(R(x,y,z),T(x * T(w,u),u)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). K(R(x,y,z),T(x * T(u,w),w)) != v5 | R(K(R(x,y,z),x * u),u,w) = v5. R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | K(y,R(w,z,u)) = x. K(x,R(x * y,z,u)) = K(x,R(R(x * y,z,u),y,w)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). K(x,R(R(x * y,y * z,u),y,z)) != w | K(x,R(x * y,z,u)) = w. K(x,R(x * y,z,u)) = K(x,R(x * y,y * z,u)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(x,R(x * y,y * z,u)) != w | K(x,x * R(y,z,u)) = w. K(x,x * R(y,z,u)) = K(x,R(x * y,z,u)). K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = K(x,R(x * y,z,u)) * x. K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). x != T(y,y * R(z,u,w)) | L(T(y,R(z,u,w)),z,T(y,R(z,u,w))) = x. L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). L(T(x,y),z,T(x,u)) != w | L(T(x,y),z,x) = w. L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). L(T(x,R(y,z,u)),y,x) != w | T(x,x * y) * a(K(x,y),z,u) = w. T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). T(x,T(y,z) * ((z * z) \ 1)) = T(x,(1 / z) * (((z * z) \ y) * z)). T(x,(1 / y) * (((y * y) \ z) * y)) = T(x,T(z,y) * ((y * y) \ 1)). x != T(y,z * (u \ 1)) | T(y,z / u) = x. T(x,T(y,z) / (z * z)) = T(x,(1 / z) * (((z * z) \ y) * z)). T(x,(1 / y) * (((y * y) \ z) * y)) = T(x,T(z,y) / (y * y)). K(x,(y * ((y \ 1) \ z)) / u) = K(x,y * (y * (z * (1 / u)))). K(x,y * (y * (z * (u \ 1)))) = K(x,(y * ((y \ 1) \ z)) / u). K(x,(y * ((y \ 1) \ z)) / u) = K(x,y * (y * (z * (u \ 1)))). L(T(x,x \ 1) \ y,x,T(x,z)) = K(x,z) \ ((((z * x) / z) \ 1) * y). L(T(x,x \ 1) \ y,x,x) = K(x,z) \ ((((z * x) / z) \ 1) * y). T(T(x,x \ 1),y) * K(x * y,z) = y \ T(T(x,x \ 1) * y,z). (x \ ((1 / x) \ y)) * K(z,x \ ((1 / x) \ y)) = x \ ((K(y,z) / x) \ y). T(x \ ((K(y,z) / x) \ y),z) = x \ ((1 / x) \ y). T(x \ ((1 / x) \ y),y) = x \ ((1 / x) \ y). T(x * (y \ ((1 / y) \ z)),K(y \ ((1 / y) \ z),z)) = (y \ ((1 / y) \ z)) * T(x,y \ ((1 / y) \ z)). a(K(x,y) / (K(x,y) * z),u,w) = a((K(x,y) \ (1 / K(x,y))) \ z,u,w). a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a(K(x,y) / (K(x,y) * z),u,w). K(x,((y * z) \ (y * y)) * T(u,z \ y)) = K(x,u / ((y \ 1) * z)). L(x,L(T(y \ z,y),(y \ z) \ z,(y \ z) \ z),u) = L(x,z * y,u). K(x,L(((y \ 1) \ z) / y,u,w)) != v5 | K(x,L(((1 / y) \ z) / y,u,w)) = v5. K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | K(w,K(v5,L(y,z,u))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,u \ (w * ((w \ u) * z)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). T(x,y * (z * (u * T(w,w * v5)))) = T(x,y * (z * (u * ((w \ v5) \ v5)))). T(x \ 1,(x \ 1) \ 1) / (y / (1 / (x \ 1))) = x / (y / ((x \ (x * x)) \ 1)). T(x \ 1,(x \ 1) \ 1) / (y / (1 / (x \ 1))) = x / (y / (x \ 1)). (1 / x) / (y / (1 / (x \ 1))) = x / (y / (x \ 1)). (1 / x) / (y / x) = x / (y / (x \ 1)). K(x,y * (z * ((y * y) \ u))) = K(x,y \ (T(z,y \ (y \ 1)) * u)). K(x,y \ (T(z,y \ (y \ 1)) * u)) = K(x,y * (z * ((y * y) \ u))). L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,T(T(u,z) / z,z)). L(x,y,(z \ 1) * ((((z \ 1) \ 1) \ u) / (z \ 1))) = L(x,y,z \ T(u,z)). L(x,y,z * (((z \ 1) \ u) / z)) != w | L(x,y,z \ T(u,z)) = w. L(x,y,(z \ 1) \ T(u,z \ 1)) = L(x,y,z \ T(u,z)). L(x,y,(z \ 1) \ u) != w | L(x,y,z \ u) = w. L(x,y,z \ T(u,z \ 1)) = L(x,y,z \ T(u,z)). K(x,L(y,T(1 / (z / u),z),(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). T(x,T(y,z * ((u \ 1) * w)) * (z * ((u \ 1) * w))) = T(x,(z * ((1 / u) * w)) * y). T(x,(y * ((z \ 1) * u)) * w) = T(x,(y * ((1 / z) * u)) * w). T(x,(y * ((1 / z) * u)) * w) = T(x,(y * ((z \ 1) * u)) * w). x * y != T(z,(u * ((1 / w) * v5)) * v6) | x \ T(z,(u * ((w \ 1) * v5)) * v6) = y. x \ T(x,(y * ((z \ 1) * u)) * w) = K(x,(y * ((1 / z) * u)) * w). K(x,(y * ((1 / z) * u)) * w) != v5 | K(x,(y * ((z \ 1) * u)) * w) = v5. K(x,y) = R(K(x,y),z,L(L(z,u,w),z,K(x,y))). R(K(x,y),z,L(L(z,u,w),z,K(x,y))) = K(x,y). R(K(x,y),z,L(z,u,w)) = K(x,y). K(x,T(y * z,u \ y) / (T(y,u) * (1 / u))) = K(x,L((1 / T(u,y)) \ z,u,y)). K(x,y / (z * (1 / u))) != w | K(x,y / (z * (u \ 1))) = w. K(x,T(y * z,u \ y) / (T(y,u) * (u \ 1))) = K(x,L((1 / T(u,y)) \ z,u,y)). L(x,L(K(y,z * u) * (u \ 1),z,y) \ w,v5) = L(x,((y * z) \ ((z * u) * y)) \ w,v5). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. T(x * K((1 / y) * (y \ x),x),y \ T(y \ 1,x * y)) = R(x,y \ T(y \ 1,x * y),x). K(x,y * ((K(z,z * u) * (z \ w)) \ K(z * K(z * u,z),u))) = K(x,y / (R(z,u,z) \ w)). T(x * K(y \ (y \ x),x),y \ T(y \ 1,x * y)) = R(x,y \ T(y \ 1,x * y),x). T(x * K(x,y * y),y \ T(y \ 1,x * y)) = R(x,y \ T(y \ 1,x * y),x). T(T(x,y * y),y \ T(y \ 1,x * y)) = R(x,y \ T(y \ 1,x * y),x). T(x,y \ T(z \ 1,u * z)) != w | T(x,y \ T(z \ 1,u)) = w. T(T(x,y * y),y \ T(y \ 1,x)) = R(x,y \ T(y \ 1,x * y),x). T(x,y * (y * (y \ T(y \ 1,x)))) = R(x,y \ T(y \ 1,x * y),x). T(x,y * T(y \ 1,x)) = R(x,y \ T(y \ 1,x * y),x). R(x,y \ T(y \ 1,x * y),x) = T(x,y * T(y \ 1,x)). x != T(y,z * T(z \ 1,y)) | y = x. x = R(x,y \ T(y \ 1,x * y),x). R(x,y \ T(y \ 1,x * y),x) = x. (x \ T(x \ 1,y * x)) * y = T((1 / x) * (y / x),y). (x \ T(x \ 1,y)) * z != u | T(1 / x,y) * (x \ z) = u. T(1 / x,y * x) * (x \ y) = T((1 / x) * (y / x),y). K(x,y * ((K(z,z * u) * (z \ w)) \ K(z,T(u,z * u)))) = K(x,y / (R(z,u,z) \ w)). K(x,y * ((K(z,z * u) * (z \ w)) \ K(z,u))) = K(x,y / (R(z,u,z) \ w)). K(x,y * (((z \ u) \ K(z * w,z)) * K(z,w))) = K(x,y / (R(z,w,z) \ u)). L(T(x,x \ y) \ L(T(x,x \ y),z,u),x,x) = T(x,x * y) \ L(T(x,x * y),z,u). T(x \ L(x,y,z),x * u) = L(T(x,x \ u) \ L(T(x,x \ u),y,z),x,x). L(T(x,x \ y) \ L(T(x,x \ y),z,u),x,x) = T(x \ L(x,z,u),x * y). L(T(x \ L(x,y,z),x \ u),x,x) = T(x \ L(x,y,z),x * u). L(T(x \ L(x,y,z),u),w,x) != v5 | T(x \ L(x,y,z),u) = v5. T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),x * u). x != T(y,z) | z \ (y * z) = x. (x * y) \ ((x \ L(x,z,u)) * (x * y)) = T(x \ L(x,z,u),x \ y). (x * y) \ (x * ((x \ L(x,z,u)) * y)) = T(x \ L(x,z,u),x \ y). L(T(x \ L(x,y,z),u),u,x) = T(x \ L(x,y,z),x \ u). T(x \ L(x,y,z),u) = T(x \ L(x,y,z),x \ u). T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). x \ ((x / T(y,y \ x)) * L(T(y,y \ x),z,u)) = L(T(y \ L(y,z,u),x),y,x). x != L(T(y \ L(y,z,u),w),y,w) | (y * w) \ (L(y,z,u) * w) = x. (x * y) \ (L(x,z,u) * y) = y \ ((y / T(x,x \ y)) * L(T(x,x \ y),z,u)). x \ ((x / T(y,y \ x)) * L(T(y,y \ x),z,u)) = (y * x) \ (L(y,z,u) * x). x \ ((y \ x) * L(T(y,y \ x),z,u)) = (y * x) \ (L(y,z,u) * x). x \ (L(y,z,u) * (y \ x)) = (y * x) \ (L(y,z,u) * x). (x * y) \ (L(x,z,u) * y) = y \ (L(x,z,u) * (x \ y)). T(((x \ 1) \ 1) * K(y,(x \ 1) \ 1),x \ z) = T(x,x * z) * K(y,T(x,x * z)). T(((x \ 1) \ 1) * K(y,(x \ 1) \ 1),x \ z) = T(x,x * z) * K(y,T(x,z)). x != T(y,y * z) * K(u,T(y,z)) | T(y * K(u,y),z * y) = x. T(x * K(y,x),z * x) = T(((x \ 1) \ 1) * K(y,(x \ 1) \ 1),x \ z). T(((x \ 1) \ 1) * K(y,(x \ 1) \ 1),x \ z) = T(x * K(y,x),z * x). T((x \ 1) \ K(y,x),x \ z) = T(x * K(y,x),z * x). T((x \ 1) \ K(y,x),x \ y) != z | (x \ y) / ((((x \ y) \ y) \ y) / x) = z. (x \ y) / ((((x \ y) \ y) \ y) / x) = T(x * K(y,x),y * x). T((T(x,y) \ 1) \ K(x * y,T(x,y)),T(x,y) \ z) = T(y \ T(x * y,T(x,y)),z * T(x,y)). x != T(y * K(z,y),z * y) | L(y,z,y) = x. L(x,y,x) = (x \ y) / ((((x \ y) \ y) \ y) / x). (x \ y) / ((((x \ y) \ y) \ y) / x) = L(x,y,x). (x \ y) / ((((x \ y) \ y) \ y) / x) != z | (y / x) / ((x \ y) / x) = z. (x / y) / ((y \ x) / y) = L(y,x,y). L(x,y,x) * ((x \ y) / x) = y / x. a(L(x,y,x) * (y / x),z,u) = a(L((x \ y) / x,L(x,y,x),L(x,y,x)),z,u). a(L((x \ y) / x,L(x,y,x),L(x,y,x)),z,u) = a(L(x,y,x) * (y / x),z,u). a(L((x \ y) / x,x,x),z,u) = a(L(x,y,x) * (y / x),z,u). a(((x \ 1) * y) / x,z,u) = a(L(x,y,x) * (y / x),z,u). a(L(x,y,x) * (y / x),z,u) = a(((x \ 1) * y) / x,z,u). x != a(((y \ 1) * z) / y,u,w) | a(T(z,y),u,w) = x. a(T(x,y),z,u) = a(L(y,x,y) * (x / y),z,u). a(L(x,y,x) * (y / x),z,u) = a(T(y,x),z,u). a(L(x,y,x) * z,u,w) != v5 | a(x * z,u,w) = v5. a(x * (y / x),z,u) = a(T(y,x),z,u). a(K(x,y) * ((K(x * y,x) / z) / K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). a(K(x,y) * ((K(x * y,x) / z) * K(y,x)),u,w) = a((1 / z) * K(x * y,x),u,w). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | (T(z,y) \ 1) * z = x. (T(x,y) \ 1) * x = (1 / x) * (1 / (1 / ((y * x) / y))). (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. K(x,L(((y \ 1) \ (z * ((y \ 1) \ 1))) / y,u,w)) = K(x,L(T(z,y \ 1) * y,u,w)). x != K(y,L(T(z,u \ 1) * u,w,v5)) | K(y,L((1 / u) \ z,w,v5)) = x. K(x,L((1 / y) \ z,u,w)) = K(x,L(((y \ 1) \ (z * ((y \ 1) \ 1))) / y,u,w)). K(x,L(((y \ 1) \ (z * ((y \ 1) \ 1))) / y,u,w)) = K(x,L((1 / y) \ z,u,w)). K(x,L(((1 / y) \ (z * y)) / y,u,w)) = K(x,L((1 / y) \ z,u,w)). T(T(x,K(y,(y \ 1) \ (y \ z))),y \ z) = T(x,y \ (1 * T(1 \ z,y))). T(T(x,y \ z),K(y,(y \ 1) \ (y \ z))) = T(x,y \ (1 * T(1 \ z,y))). T(x,T(y \ z,y)) = T(x,y \ (1 * T(1 \ z,y))). T(x,y \ (1 * T(1 \ z,y))) = T(x,T(y \ z,y)). x != T(y,T(z \ u,z)) | T(y,u / z) = x. T(x,y / z) = T(x,z \ (1 * T(1 \ y,z))). T(x,y \ (1 * T(1 \ z,y))) = T(x,z / y). T(x,y \ (1 * T(z,y))) = T(x,z / y). T(x,y \ T(z,y)) = T(x,z / y). T(x \ 1,x \ T(y,x)) != z | T(1 / x,y * x) = z. T(1 / x,y * x) = T(x \ 1,y / x). T(x,T(y,z) \ z) = T(x,z / y). T((x * y) / x,z / (z \ x)) != u | T(y,(z \ x) \ ((z \ x) \ 1)) = u. T(x,(y \ z) \ y) = T(x,y / (z / y)). T(x,y / (z / y)) = T(x,(y \ z) \ y). K((T(x,y) \ y) \ T(z,y / x),u) != w | K(z / (T(x,y) \ y),u) = w. x != T(y \ 1,z / y) | T(y \ 1,y \ z) = x. T(x \ 1,x \ y) = T(1 / x,y * x). T(1 / x,y * x) = T(x \ 1,x \ y). x != T(y,(z \ u) \ z) | T(y,z * (z / u)) = x. T(x,y * (y / z)) = T(x,y / (z / y)). T(x,y / (z / y)) = T(x,y * (y / z)). T(x * y,1 / y) / (1 / y) = (x * y) / T(y \ 1,y \ x). T(x \ 1,x \ y) * (x \ y) = T((1 / x) * (y / x),y). T(x * y,y \ 1) / (1 / y) = (x * y) / T(y \ 1,y \ x). T(x,(y \ z) \ ((y \ z) \ 1)) = T((z * x) / z,y * (z \ y)). T((x * y) / x,z * (x \ z)) = T(y,(z \ x) \ ((z \ x) \ 1)). (x \ (1 / x)) * T(y,x * x) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). T((1 / ((1 / x) \ x)) * y,(1 / x) \ x) = (x \ (1 / x)) * T(y,x * x). (x \ 1) * (x \ T(y,x * x)) = T((1 / ((1 / x) \ x)) * y,(1 / x) \ x). T((1 / ((1 / x) \ x)) * y,(1 / x) \ x) = (x \ 1) * (x \ T(y,x * x)). T((x \ (1 / x)) * y,(1 / x) \ x) = (x \ 1) * (x \ T(y,x * x)). T((x \ 1) * (x \ y),(1 / x) \ x) = (x \ 1) * (x \ T(y,x * x)). T((x \ 1) * (x \ y),x * x) = (x \ 1) * (x \ T(y,x * x)). T((T(x,y) \ 1) \ K(x * y,x),T(x,y) \ z) = T(y \ T(x * y,T(x,y)),z * T(x,y)). x != K(T(y,z \ 1),z) | K(y,z) = x. K(((x \ 1) \ y) / (x \ 1),x \ 1) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(((x \ 1) \ y) / (x \ 1),x \ 1). x != K(y / z,z) | K(z \ y,z) = x. K((x \ 1) \ ((x \ 1) \ y),x \ 1) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x \ 1) \ ((x \ 1) \ y),x \ 1). x != K(y \ (y \ z),y) | K(y * (y * z),y) = x. K((x \ 1) * ((x \ 1) * y),x \ 1) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x \ 1) * ((x \ 1) * y),x \ 1). x != K((y \ 1) * z,u) | K(y \ z,u) = x. K(x \ ((x \ 1) * y),x \ 1) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(x \ ((x \ 1) * y),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K((x * x) \ y,x \ 1). x != K((y * y) \ z,u) | K(y \ (y \ z),u) = x. K(x \ (x \ y),x \ 1) = K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1). K(x * ((x \ 1) \ T(y,(x \ 1) \ ((x \ 1) \ 1))),x \ 1) = K(x \ (x \ y),x \ 1). K(x * ((x \ 1) \ T(y,(1 / x) \ x)),x \ 1) = K(x \ (x \ y),x \ 1). K(x * ((x \ 1) \ T(y,x * x)),x \ 1) = K(x \ (x \ y),x \ 1). K(x * T(y / (1 / x),x),x \ 1) = K(x \ (x \ y),x \ 1). K((x / (1 / y)) * y,y \ 1) = K(y \ (y \ x),y \ 1). K(x * ((1 / y) \ y),y \ 1) = K(y \ (y \ x),y \ 1). K(x * ((1 / y) \ z),u) != w | K(x * ((y \ 1) \ z),u) = w. K(x * ((y \ 1) \ y),y \ 1) = K(y \ (y \ x),y \ 1). K(x * (y * y),y \ 1) = K(y \ (y \ x),y \ 1). K(x \ (x \ y),x \ 1) = K(y * (x * x),x \ 1). L(x,((y \ 1) \ (z * ((y \ 1) \ 1))) \ (z * ((y \ 1) \ 1)),u) = L(x,T(y \ 1,y \ (z * y)),u). L(x,((y \ 1) \ (z * ((y \ 1) \ 1))) \ (z * ((y \ 1) \ 1)),u) = L(x,T(y \ 1,T(z,y)),u). L(x,((y \ 1) \ (z * ((y \ 1) \ 1))) \ (z * ((y \ 1) \ 1)),u) = L(x,T(y \ 1,z),u). L(x,((1 / y) \ (z * y)) \ (z * ((y \ 1) \ 1)),u) = L(x,T(y \ 1,z),u). L(x,((y \ 1) \ (z * y)) \ (z * y),u) = L(x,T(y \ 1,z),u). L(x,((y \ 1) \ z) \ u,w) != v5 | L(x,(y \ z) \ u,w) = v5. L(x,(y \ (z * y)) \ (z * y),u) = L(x,T(y \ 1,z),u). L(x,T(y,z),u) = L(x,T(y \ 1,z),u). L(x,T(y \ 1,z),u) = L(x,T(y,z),u). L(x,y,y) = L(x,T(y,z),y). L(x,T(y,z),y) = L(x,y,y). L(x,(y \ z) \ z,y) = L(x,y,y). L(x,T(y,z),T(y,z)) = L(x,y,y). L(x,(y \ z) \ z,y) != u | L(x,(y \ z) \ z,(y \ z) \ z) = u. L(x,(y \ z) \ z,(y \ z) \ z) = L(x,y,y). (1 / T(x,y)) * z = L(T(x,y) \ z,x,x). L(T(x,y) \ z,x,x) = (1 / T(x,y)) * z. (T(x,y) \ 1) \ L(z,x,x) = T((x \ 1) \ 1,y) * z. L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,T(x,y),T(x,y)). L(T(x,x \ 1) \ y,x,x) != z | K(x,u) \ ((((u * x) / u) \ 1) * y) = z. K(x,y) \ ((((y * x) / y) \ 1) * z) = (1 / T(x,x \ 1)) * z. L(x,L(T(y \ z,y),y,y),u) = L(x,z * y,u). L(x,T((1 / y) * z,y),u) = L(x,z * y,u). x != L(y,z * u,w) | L(y,T(u * z,u),w) = x. L(x,T(y * z,y),u) = L(x,T((1 / y) * z,y),u). L(x,T((1 / y) * z,y),u) = L(x,T(y * z,y),u). L(x,y * ((y \ z) * y),u) = L(x,T(y * z,y),u). L(x,y * ((z \ u) * z),w) != v5 | L(x,y * (z * (u / z)),w) = v5. L(x,y * (y * (z / y)),u) = L(x,T(y * z,y),u). L(x,y * (y * ((T(y,z) * z) / y)),u) != w | L(x,L(z,T(y,z),T(y,z)),u) = w. L(x,L(y,T(z,y),T(z,y)),u) = L(x,T(z * (T(z,y) * y),z),u). L(x,T(y * (T(y,z) * z),y),u) = L(x,L(z,T(y,z),T(y,z)),u). K(x,y) \ ((((y * x) / y) \ 1) * z) = (x \ 1) * z. K(x,y) * ((((x * y) / x) \ 1) * z) = (y \ 1) * z. K(x,L(((((y * z) / y) \ 1) * u) \ w,(((y * z) / y) \ 1) * u,K(y,z))) = K(x,((z \ 1) * u) \ (K(y,z) * w)). L(x,T(y * (T(y,z) * z),y),u) = L(x,L(z,y,y),u). L(x,T(y * z,y),u) != w | L(x,z * y,u) = w. L(x,(T(y,z) * z) * y,u) = L(x,L(z,y,y),u). L(x,(y * z) * T(y,z),u) = L(x,L(z,y,y),u). L(x,(y * z) * T(y,z),u) != w | L(x,R(z,y,y),u) = w. L(x,R(y,z,z),u) = L(x,L(y,z,z),u). L(T(T(x,y),x \ 1) * z,T(T(x,y),x \ 1),T(T(x,y),x \ 1)) = T(x,y) * L(z,x,x). K(K((x / (1 / y)) * ((x / (1 / y)) * z),x * y),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). K(K((x / (y \ 1)) * ((x / (1 / y)) * z),x * y),u) = K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u). K(x,K(y * z,(y / (z \ 1)) * ((y / (1 / z)) * u))) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * u != w | K(z,y) * (K(x,y) * u) = w. K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). x = L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(x,y / T(1 / z,u),w) != v5 | L(x,y / T(z \ 1,u),w) = v5. L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | L(T(y,z),y \ u,y) = x. L(T(x,R(x \ y,z,u)),x \ y,x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | T(y,R(y * z,u,w)) = x. T(x,R(x * (x \ y),z,u)) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). T(((x \ 1) * y) / (x \ 1),(z * (x \ 1)) \ ((z * (x \ 1)) \ (1 / x))) != u | T(y,(z * (1 / x)) \ ((z * (1 / x)) \ 1)) = u. T(T(x,(y / z) * T(z \ y,y \ z)),T(z \ y,y \ z) \ (T(z \ y,y \ z) \ u)) = T(T(x,(y / z) * (1 / (z \ y))),u). (x / (1 / y)) * K((y \ 1) \ ((y \ 1) \ x),T(y \ 1,x)) = (T(y \ 1,y \ x) \ (x / (1 / y))) * T(y \ 1,y \ x). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) \ ((x \ 1) \ y),T(x \ 1,y)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) * ((x \ 1) * y),T(x \ 1,y)). T(T(x,(y \ z) * T(z / y,y / z)),T(y \ z,z \ y) \ (T(y \ z,z \ y) \ u)) = T(T(x,(z / y) * (1 / (y \ z))),u). T(T(x,(y \ z) * T(z / y,z \ y)),T(y \ z,z \ y) \ (T(y \ z,z \ y) \ u)) = T(T(x,(z / y) * (1 / (y \ z))),u). T(T(x,(1 / (y \ z)) \ (z / y)),T(y \ z,z \ y) \ (T(y \ z,z \ y) \ u)) = T(T(x,(z / y) * (1 / (y \ z))),u). T(T(x,(y \ z) * (z / y)),T(y \ z,z \ y) \ (T(y \ z,z \ y) \ u)) = T(T(x,(z / y) * (1 / (y \ z))),u). (x / y) \ T(x,K(z,u)) != w | y * K(z,K(u,x)) = w. (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x,K(y,z)) * L(K(y,u),w,v5) != v6 | T(x * L(K(y,u),w,v5),K(y,z)) = v6. T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(x,y * (K(z,u) / T(u,w)),v5) != v6 | L(x,y * (T(u,z) \ K(w,u)),v5) = v6. L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). ((x \ K(x,y)) * T(x,z)) * u = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). K(x,y) * T(z,T(x * z,y)) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | T(u,y * u) * K(y,z) = x. T(x,y * x) * K(y,z) = T(((y \ K(y,z)) \ 1) \ (T(y,y \ 1) * x),T(y,y \ 1) * x). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). x != T(y,y * z) * a(y,u,K(w,z)) | T(y,R(y * z,u,w)) = x. T(x,R(x * y,z,u)) = T(a(x,z,K(u,y)) * x,y * x). T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). x != R(y,z,a(u,w,u)) | y = x. T(x,a(y,z,u) \ x) = (((a(y,z,u) \ 1) * x) * a(x,u \ L(u,z,y),x)) \ ((x * (a(y,z,u) \ 1)) * x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). (x * R(y,z,y)) \ ((y * x) * y) != u | L(T(y,x),z,y) = u. L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) != w | x * a(y,z,K(u,x)) = w. x * a(y,z,K(u,x)) = T(x,a(y,z,u) \ x). T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). x != y * a(z,u,K(w,v5)) | y * a(v5,u,K(z,w)) = x. x * a(x,y,K(z,u)) = T(x,a(z,y,u) \ x). T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). T(T(x,x * y),a(z,u,y) \ x) != w | T(x,L(y * x,u,z)) = w. T(x,L(y * x,z,u)) = T(x,R(x * y,z,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(y,z,u)) = T(x,L((y / T(1 / (1 / x),w)) * x,z,u)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,y),a(z,u,y) \ x) != w | T(x,L(y,u,z)) = w. T(x,L(y * (z * (u \ 1)),w,v5)) = T(x,L(y * (z * (1 / u)),w,v5)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). T(x,L(y * (x * (1 / T(x,z))),u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(y,z,u)) = T(x,L(y * (x * (T(x,w) \ 1)),z,u)). T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x \ y != T(z,R(u,w,v5)) | x * T(z,L(u,w,v5)) = y. R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. K(x,R(y,z,u)) != w | K(R(x,z,u),y) = w. K(R(x,y,z),u) = K(x,L(u,y,z)). K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = K(x,L(y,z,u)). x \ y != K(z,R(u,w,v5)) | x * K(z,L(u,w,v5)) = y. ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). x != K(y,L(z,u,w)) | K(L(y,u,w),z) = x. K(L(x,y,z),u) = K(R(x,y,z),u). K(R(x,y,z),u) = K(L(x,y,z),u). x != K(y,L(z,u,w)) | L(K(y,z),u,w) = x. L(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) = L(K(x,y),z,u). R(K(x,y),z,L(z,u,w)) != v5 | K(x,y) = v5. K(x,y) = K(x,L(y,z,L(z,u,w))). K(x,L(y,z,L(z,u,w))) = K(x,y). R(K(x,(y / z) / u),z \ y,z) != w | K(x,y / (u * z)) = w. 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),x,u) != w | K((x * u) / (y * u),z) = w. K((x * y) / (z * y),u) = K(x / z,L(u,x,y)). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. K(x,L(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u). K(x,L(y,z \ u,z)) * u = (K(x,y) * (u / z)) * z. ((K(x,y) * z) * u) * K(u,z) = K(x,L(y,z,u)) * (u * z). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). K(x / (y * z),u) = K(L((x / z) / y,y,z),u). K(L((x / y) / z,z,y),u) = K(x / (z * y),u). x * (K(L(y,z,u),x) * R(y,z,u)) = R(y,z,u) * x. K(R(x,y,z),u) != w | K(x,L(u,y,z)) = 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) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). x != y | 1 * y = x. 1 * K(x,y) = K(x,L(y,z,L(z,u,w))). K(x,L(y,z,L(z,u,w))) = 1 * K(x,y). K(x,L(y,z,L(z,u,w))) != v5 | v5 = K(x,y). K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. K(x,(y * z) / (u * z)) != w | K(x,L(y / u,u,z)) = w. K(x,L(y,z,z)) != u | K(x,y) = u. K(x,L(y,L(z,u,w),z)) != v5 | K(x,y) = v5. K(x,L(y * z,u,w)) != v5 | K(x,L((y \ 1) \ z,u,w)) = v5. L(K(x,y),z,z) != u | K(x,y) = u. K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). R(x,y,y) * T(z,x) = z * R(x,y,y). R(x,y,y) * (x \ z) = (z / x) * R(x,y,y). x != (y / (1 / z)) * u | (y / z) * ((z * z) * u) = x. (x / y) * ((y * y) * R(1 / y,z,z)) = R(1 / y,z,z) * ((1 / y) \ x). K(x,R(1 / y,z,z) * ((1 / y) \ u)) = K(x,(u / (y \ 1)) * R(1 / y,z,z)). K(x,L((y * K(z,y)) / u,u,z)) = K(x,(z * y) / (u * z)). x * K(y,K(x,z / (u * w))) = T(x,K(y,L((z / w) / u,u,w))). T(x,K(y,L((z / u) / w,w,u))) = x * K(y,K(x,z / (w * u))). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x != K(L(y,z,u) / y,w) | a(u,z,K(w,y)) = x. a(x,y,K(L(z,L(u,y,x),w),u)) = K((L(u,y,x) * w) / (u * w),z). K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(L(w,L(x,y,z),u),x)). (K(x,y) * z) * u != w * (z * u) | K(x,L(y,z,u)) = w. ((K(x,y) * z) * u) \ (z * u) = K(L(y,z,u),T(x,z * u)). K(x,y * z) * (z * y) = (K(x,y * z) * z) * y. (K(x,y * z) * z) * y = K(x,y * z) * (z * y). ((K(x,y) * z) * u) * a(x,z,K(u,L(y,z,u))) = (K(x,L(y,z,u)) * z) * u. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). K(L(x / y,y,z),T(u,y * z)) != w | K((y * z) \ (x * z),u) = w. K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. K(L((x / y) / K(z,T(u,y)),K(z,T(u,y)),y),w) = K(x / (y * K(z,u)),w). L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). x != (y * y) * z | ((y * y) * (z * u)) / u = x. ((K(x,y) * K(x,y)) * (z * u)) / u = L(K(x,y),K(x,y),z) * (K(x,y) * z). K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. L(x,y,K(z,x * y)) = x. (x * K(y,x * z)) * z = K(y,z * x) * (x * z). L(x,x \ y,K(z,y)) = x. L(x / y,y,K(z,x)) = x / y. L(x,y,K(z,y * x)) = x. L(x / y,y,K(x,z)) = x / y. L((x * y) / z,z,K(y,x)) = (x * y) / z. x != K(y,z * u) * (u * z) | (u * z) * K(y,z * u) = x. (x * y) * K(z,y * x) = (x * K(z,x * y)) * y. (x * K(y,x * z)) * z = (x * z) * K(y,z * x). K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). K(x,L((y / z) * u,z \ y,z)) = K(x,y / ((u \ 1) * z)). K(x,L(y / z,u,y \ u)) = K(x,u / (z * (y \ u))). K(x,L((y * z) / u,R(y,z,z),z \ 1)) = K(x,R(y,z,z) / (u * (z \ 1))). K(x,L((y / z) / (u \ w),y,z)) = K(x,y / ((u \ 1) * (u \ (((1 / u) \ w) * z)))). K(x,y / ((z \ 1) * u)) != w | K(x,L((y / u) * z,y,u)) = w. T(K(x,L(y,z * z,(z * z) \ u)) * u,z * z) = ((z * z) \ (K(x,y) * (z * z))) * T(u,z * z). K(x,y \ (z * (u * (z \ y)))) * y = (K(x,T(u,z \ y)) * (y / z)) * z. R(T(x,y),z,u) = K(L(x,z,u),y) * R(x,z,u). K(L(x,y,z),u) * R(x,y,z) = R(T(x,u),y,z). K(x,L(y / (z \ u),z \ u,z)) = K(x,(y * z) / T(u,z)). K(((x \ y) * x) \ z,T(u,T((x \ 1) \ y,x))) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). K((x * T(y,z)) \ u,T(w,K(y,z))) = K((((x * y) \ u) * (x * y)) / (K(y,z) * (x * y)),w). K(x,L(y,z,u)) * (u * z) != w | (K(x,y) * z) * T(u,z) = w. ((K(x,(y \ z) \ u) * (y \ z)) * y) \ ((y \ z) * y) = K(z \ (y * u),T(x,(y \ z) * y)). K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. K(x,y) * ((x * y) * z) = (T(x,y) * y) * z. K(x \ 1,x \ y) * ((x \ 1) * (x \ (y * z))) = (T(x \ 1,x \ y) * (x \ y)) * z. K(x,L(((y / z) \ 1) \ u,z \ y,z)) = K(x,y / ((u \ 1) * z)). K(x,L(y / (z \ u),u,z)) = K(x,(y * z) / T(u,z)). K(x,L(y / ((z \ u) \ z),z,z \ u)) = K(x,(y * (z \ u)) / ((z \ u) \ u)). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). x * a(x,y,y) = R(x,y,y). ((x * y) * z) * a(z,x,y) != (x * y) * u | R(z,x,y) = u. ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z,x,y) = u. ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). x \ R(x,y,y) = a(x,y,y). x * y != R(z / u,u,u) | (z * (u \ 1)) / y = x. (x * (y \ 1)) / a(x / y,y,y) = x / y. x \ R(x,y,y) != z | a(x,y,y) = z. (x \ 1) * a(x,y,y) = R(x \ 1,y,y). (K(x,y) / z) * a(K(x,y) * z,u,u) = R(K(x,y) / z,u,u). K(x,L(y,R(z,u,u),z)) = K(x,L(y,a(z,u,u),z)). K(x,L(y,a(z,u,u),z)) = K(x,L(y,R(z,u,u),z)). (1 / x) * R(x,y,y) = a(x,y,y). (x \ y) \ R(x \ y,z,u) != w | x \ (y * R(y \ x,z,u)) = w. x \ (y * R(y \ x,z,z)) = a(x \ y,z,z). K(x,y * (z * a(1 / u,w,w))) = K(x,y * (z * ((u \ 1) \ R(1 / u,w,w)))). K(x,y * (z * ((u \ 1) \ R(1 / u,w,w)))) = K(x,y * (z * a(1 / u,w,w))). K(x,a(1 / y,z,z) * u) = K(x,((y \ 1) \ R(1 / y,z,z)) * u). K(x,((y \ 1) \ R(1 / y,z,z)) * u) = K(x,a(1 / y,z,z) * u). T(x,y * a(z,u,u)) = T(x,y * ((z \ 1) * R(z,u,u))). T(x,y * ((z \ 1) * R(z,u,u))) = T(x,y * a(z,u,u)). L(x,y,z) \ L(R(x,u,u),y,z) != w | a(L(x,y,z),u,u) = w. (x \ 1) \ L(R(x \ 1,x,x),y,z) = (x \ 1) * L(x,y,z). (x * y) \ (((z * x) * y) * R(((z * x) * y) \ (x * y),u,u)) = a(R(T(z,x * y),x,y),u,u). K(x,L(y,a(z,u,u),z)) = K(x,L(y,L(z,u,u),z)). K(x,L(y,a(z,u,u),z)) != w | K(x,y) = w. T(x,y * (z * R(1 / z,u,u))) = T(x,y * a(z,u,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. a(x,y,z) != L(u,x,y * z) | x \ R(x,y,z) = u. L(x,y,z * u) != a(y,z,u) | y \ R(y,z,u) = x. (x * y) * a(x * y,z,u) = x * (y * L(y \ (x \ R(x * y,z,u)),x * y,z * u)). x * (y * L(y \ (x \ R(x * y,z,u)),x * y,z * u)) = (x * y) * a(x * y,z,u). (x \ 1) \ L(1 / x,y,z) = (x \ 1) * L(x,y,z). x * L(1 / x,y,z) = (x \ 1) \ L(1 / x,y,z). (x \ 1) \ L(1 / x,y,z) = x * L(1 / x,y,z). K(x,y * (z * (u * L(1 / u,w,v5)))) = K(x,y * (z * (u \ L(u,w,v5)))). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). a(L(x,y,z),u,u) = L(x \ R(x,u,u),y,z). L(x \ R(x,y,y),z,u) = a(L(x,z,u),y,y). L(a(x,y,y),z,u) = a(L(x,z,u),y,y). a(L(x,y,z),u,u) = L(a(x,u,u),y,z). a(L(x,y,z),u,u) * (y * z) = z * (T(y,z) * a(x,u,u)). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). T(x,K(y,L((z / u) / w,w,u))) = x * K(x,K(y,z / (w * u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). K(x,L(y,z \ u,z)) != w | K(x,L(y,u / z,z)) = w. K(x,L(((y / z) \ 1) \ u,y / z,z)) = K(x,y / ((u \ 1) * z)). L(K(x,y),z,u) * w != v5 | T(w * L(K(x,y),z,u),K(y,L(x,z,u))) = v5. T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). K(x,(y * ((z / y) \ 1)) \ (y * u)) = K(x,z / ((u \ 1) * y)). K(x,(y * ((z / y) \ 1)) \ u) = K(x,z / (((y \ u) \ 1) * y)). K(x,y / (((z \ u) \ 1) * z)) = K(x,(z * ((y / z) \ 1)) \ u). K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(w,L(x,L(x,y,z),u))). K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. K(x,((y \ 1) \ R(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). K(x,(y * R(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). K((L(x,y,z) * u) / (x * u),w) = a(z,y,K(w,x)). (x / y) * R((y * y) * (1 / y),z,z) = R(1 / y,z,z) * ((1 / y) \ x). K(x,y \ z) * y != u | y * K(x,z / y) = u. x * K(y,(z * (u * (z \ x))) / x) = (K(y,T(u,z \ x)) * (x / z)) * z. (K(x,T(y,z \ u)) * (u / z)) * z = u * K(x,(z * (y * (z \ u))) / u). (x / y) * R(y,z,z) = R(1 / y,z,z) * ((1 / y) \ x). R(1 / x,y,y) * ((1 / x) \ z) = (z / x) * R(x,y,y). ((K(x,y) * z) * u) * a(x,z,K(u,y)) = (K(x,L(y,z,u)) * z) * u. ((K(x,y) * z) * u) * a(y,z,K(u,x)) = (K(x,L(y,z,u)) * z) * u. K(x,y) * (z * u) = (K(x,L(y,z,u)) * z) * u. (K(x,L(y,z,u)) * z) * u = K(x,y) * (z * u). K(x,L(L(y,z,u),z,u)) = K(x,y). (K(x,L(y,z,u)) * (z * u)) * u = K(x,y) * ((z * u) * u). K((x \ y) \ z,L(u,y,x)) != w | K(y \ (x * z),u) = w. K(x \ (y * z),L(u,x,y)) = K((y \ x) \ z,u). K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. K((x * y) \ z,L(u,y,x)) = K(y \ (x \ z),u). K(x,L((y * z) \ u,z,y)) = K(x,z \ (y \ u)). K(x,L(y \ (z * u),z \ y,z)) = K(x,(z \ y) \ u). K((x \ y) \ ((1 / x) * z),L(u,(x \ 1) \ y,x)) = K((x \ ((x \ 1) \ y)) \ z,u). K(x \ ((y \ 1) * z),L(u,x,y)) = K(((y \ 1) \ x) \ z,u). K((x * y) \ ((z \ 1) \ u),L(w,y,x)) = K(y \ (x \ ((1 / z) \ u)),w). K((x * (y / x)) \ z,L(u,x \ y,x)) = K((y / x) \ (x \ z),u). K(((x * (y / x)) * x) \ z,L(u,T(x,x \ y),y)) = K(T(x,x \ y) \ (y \ z),u). K(x,L((y * z) \ (y \ u),z,y)) != w | K(x,(y * (y * z)) \ u) = w. K(x,(y * (y * z)) \ u) = K(x,z \ (y \ (y \ u))). K(x,L(y \ z,u,y / u)) = K(x,u \ ((y / u) \ z)). K(x,L((y * z) \ u,T(y,z),z)) = K(x,T(y,z) \ (z \ u)). K(x,L(a(y,y \ z,u),(y \ z) * u,y)) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,L((y * (z \ 1)) \ u,z \ 1,y)) != w | K(x,z * (y \ u)) = w. K(x,L(R(y,z,z) \ u,a(y,z,z),y)) = K(x,a(y,z,z) \ (y \ u)). K(x,L(y * (y * z),u,w) \ v5) = K(x,L(z,u,w) \ (y \ (y \ v5))). K(x,L(y \ (z * u),y,z)) = K(x,(z \ y) \ u). 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 != K(z,L(u \ (w * v5),u,w)) | x * K(z,(w \ u) \ v5) = y. x * K(x,(y \ z) \ u) = T(x,L(z \ (y * u),z,y)). T(x,L(y \ (z * u),y,z)) = x * K(x,(z \ y) \ u). K(x,y \ (z * (z * u))) = K(x,(z \ (z \ y)) \ u). K(x,(y \ (y \ z)) \ u) = K(x,z \ (y * (y * u))). K(x,L((y * (z \ 1)) \ (z * u),y * (z \ 1),z)) = K(x,T(y * (z \ (1 / z)),z) \ u). K(x,L((1 / y) \ (z * u),y,z)) = K(x,(z \ (1 / y)) \ u). K(x,L(T(y,z) \ (z * u),T(y,z),z)) = K(x,(T(z,y) \ y) \ u). K(x,L(y \ (z * u),y,R(u,z,z) \ (u * z))) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). T(x,(y \ z) \ u) = T(x,L(z \ (y * u),z,y)). T(x,L(y \ (z * u),y,z)) = T(x,(z \ y) \ u). T(x,((1 / y) * z) \ (y * u)) = T(x,(y \ z) \ ((y \ 1) \ u)). T(x,L(T(y,z) \ (z * u),T(y,z),z)) = T(x,(T(z,y) \ y) \ u). K(x,(L(y,z,u) \ y) \ 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)). x \ y != K(z,(L(u,w,v5) \ u) \ v6) | x * K(z,L(u,w,v5) * (u \ v6)) = y. x * K(x,L(y,z,u) * (y \ w)) = T(x,(L(y,z,u) \ y) \ w). K(x,(L(y,z,u) \ y) \ ((y * y) * w)) = K(x,L(y,z,u) * ((1 / y) \ w)). K(x,a(y,y,z) \ u) = K(x,L(z,y,y) * (z \ u)). K(x,L(y,z,z) * (y \ u)) = K(x,a(z,z,y) \ u). K(x,L(y,z,u) * (y \ w)) != v5 | K(x,(y \ L(y,z,u)) * w) = v5. (x \ K(y,a(z,z,u) \ w)) \ (x \ 1) = K(L(u,z,z) * (u \ w),y). K(L(x,y,y) * (x \ z),u) = (w \ K(u,a(y,y,x) \ z)) \ (w \ 1). x \ y != K(z,(u \ L(u,w,v5)) * v6) | x * K(z,L(u,w,v5) * (u \ v6)) = y. x * K(x,L(y,z,u) * (y \ w)) = T(x,(y \ L(y,z,u)) * w). K(x,(y \ L(y,z,u)) * ((y * y) * w)) = K(x,L(y,z,u) * ((1 / y) \ w)). K(x,L(y,z,z) * (y \ u)) != w | K(x,a(z,z,y) \ u) = w. ((K(x,y) * z) * u) * u = K(x,y) * ((z * u) * u). x * y != K(z,K(u,w)) * (w * y) | T(w,K(z,u)) = x. T(x * y,K(z,u)) = (K(z,K(u,x * y)) * x) * y. (K(x,K(y,z * u)) * z) * u = T(z * u,K(x,y)). x * y != ((K(z,u) * w) * v5) * v5 | x \ (K(z,u) * ((w * v5) * v5)) = y. ((K(x,y) * z) * (u * u)) \ (K(x,y) * ((z * u) * u)) = a(K(x,y) * z,u,u). (T(K(x,y),(x \ R(x,y,x)) * z) * K(x * y,x)) * z = T((x \ R(x,y,x)) * z,K(x,y)). K(x,L(y,T(z,u),u)) != w | K(x,L(y,z,u)) = w. K(x,L((y * z) \ u,y,z)) = K(x,T(y,z) \ (z \ u)). K(x,L((((y * z) / y) * (z \ y)) \ u,(y * z) / y,z \ y)) = K(x,((z \ y) \ T(y,z)) \ ((z \ y) \ u)). K(x,L((y * L(1 / y,z,u)) \ w,y \ 1,L(y,z,u))) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). K(x,L((y * (z * (u * K(w,u)))) \ v5,y * (z * u),K(w,L(u,z,y)))) = K(x,T(y * (z * u),K(w,L(u,z,y))) \ (K(w,L(u,z,y)) \ v5)). T(x,((1 / y) * z) \ u) != w | T(x,((y \ 1) * z) \ u) = w. T(x,((y \ 1) * z) \ (y * u)) = T(x,(y \ z) \ ((y \ 1) \ u)). T(x,L(y,z,z) \ (z * u)) = T(x,(z \ (z * y)) \ ((z \ 1) \ u)). T(x,(y \ (y * z)) \ ((y \ 1) \ u)) = T(x,L(z,y,y) \ (y * u)). 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,L(y,z,u) * (y \ w)) = v5. T(x,(y \ L(y,z,u)) * w) != v5 | T(x,L(y,z,u) * (y \ w)) = v5. K((x * (y / x)) \ z,L(u,y,x)) = K((y / x) \ (x \ z),u). K(x,(y * z) \ (z * (z * u))) = K(x,(T(z,y) \ y) \ u). K(x,(T(y,z) \ z) \ u) = K(x,(z * y) \ (y * (y * u))). T(x,(y * z) \ (z * (z * u))) = T(x,(T(z,y) \ y) \ u). T(x,(T(y,z) \ z) \ u) = T(x,(z * y) \ (y * (y * u))). T(x,y \ ((z \ 1) \ u)) = T(x,L(y,z,z) \ (z * u)). T(x,L(y,z,z) \ (z * u)) = T(x,y \ ((z \ 1) \ u)). K(x,L((y * (z \ 1)) \ u,z,y)) != w | K(x,z * (y \ u)) = w. K(L(x,y,y) * (x \ z),u) != w | K(a(y,y,x) \ z,u) = w. K((x * y) \ z,L(u,y,x)) != w | K(y \ (x \ z),u) = w. K(x \ (y \ ((z \ 1) \ u)),w) = K(x \ (y \ ((1 / z) \ u)),w). K(x \ (y \ ((1 / z) \ u)),w) = K(x \ (y \ ((z \ 1) \ u)),w). K(x * (y \ ((1 / z) \ u)),w) = K((1 / x) \ (y \ ((z \ 1) \ u)),w). K((1 / x) \ (y \ ((z \ 1) \ u)),w) = K(x * (y \ ((1 / z) \ u)),w). (x * y) / (K(z \ (u \ ((w \ 1) \ v5)),x) * y) = T(x,z \ (u \ ((1 / w) \ v5))). K(x * (y \ ((1 / z) \ u)),w) != v5 | K(x * (y \ ((z \ 1) \ u)),w) = v5. K(x,(y * L(y,z,u)) * w) = K(x,L(y,z,u) * ((1 / y) \ w)). K(x,L(y,z,u) * ((1 / y) \ w)) = K(x,(y * L(y,z,u)) * w). K(L((x / y) * K(z,T(u,y)),K(u,T(z,y)),y),w) = K(x / (y * K(u,z)),w). (K(x,y) * (K(x,y) * (z * u))) / u = L(K(x,y),K(x,y),z) * (K(x,y) * z). K(x,T(((y * z) / u) \ 1,u / z)) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). (x * x) \ ((K(y,z) * u) \ (K(y,z) * ((u * x) * x))) = a(K(y,z) * u,x,x). (K(x,y) * (K(x,y) * (z * u))) / u = K(x,y) * (K(x,y) * z). (K(x,y) * (K(x,y) * z)) * u = K(x,y) * (K(x,y) * (z * u)). (x * (T(T(x,y),y) \ z)) * u = K(y,x) * (K(y,x) * (z * u)). x * (T(T(x,y),y) \ (z * u)) = (x * (T(T(x,y),y) \ z)) * u. (x * (T(T(x,y),y) \ z)) * u = x * (T(T(x,y),y) \ (z * u)). x != K(y,T((z / u) \ 1,w)) | K(y,T(u / z,w)) = x. K(x,T(y / (z * u),y / u)) = K(x,L((y / u) \ z,y / u,u) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). x != K(y,((z \ u) * z) \ w) | K(y,T(u,z) \ w) = x. K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / (z * (z \ y)),u / (z \ y))). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). (x * x) \ ((y * z) \ (y * ((z * x) * x))) != u | L(a(z,x,x),z,y) = u. L(a(x,y,y),x,K(z,u)) = a(K(z,u) * x,y,y). K(x,(y / z) * R(z,u,u)) = K(x,(y / (z \ 1)) * R(1 / z,u,u)). K(x,(y / (z \ 1)) * R(1 / z,u,u)) = K(x,(y / z) * R(z,u,u)). K(x,y * (z * ((u \ 1) \ R(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). K(x,y * (z * (u * R(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). K(x,L(a(y,z,u),w,v5)) != v6 | a(x,z,K(u,L(y,w,v5))) = v6. a(x,y \ z,K(u,L(y,(y \ z) * u,y))) = K(x,((y \ z) * u) \ (y \ (z * u))). T(x,y \ (z \ ((u \ 1) \ w))) = T(x,y \ (z \ ((1 / u) \ w))). T(x,y \ (z \ ((1 / u) \ w))) = T(x,y \ (z \ ((u \ 1) \ w))). T(x,y \ (z \ u)) = T(x,y \ (z \ ((u \ 1) \ 1))). T(x,y \ (z \ ((u \ 1) \ 1))) = T(x,y \ (z \ u)). T(x,y \ (z \ ((1 / u) \ (w * (1 / u))))) = T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))). T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) = T(x,y \ (z \ ((1 / u) \ (w * (1 / u))))). x != T(y,(z \ 1) \ u) | T(y,z * u) = x. T(x,y * (z \ u)) = T(x,(y \ 1) \ (z \ ((u \ 1) \ 1))). T(x,(y \ 1) \ (z \ ((u \ 1) \ 1))) = T(x,y * (z \ u)). T(x,y \ (z \ (u \ 1))) = T(x,y \ (z \ (1 / u))). T(x,y \ (z \ (1 / u))) = T(x,y \ (z \ (u \ 1))). T(((x \ 1) * y) / (x \ 1),(z * (x \ 1)) \ ((z * (x \ 1)) \ (x \ 1))) != u | T(y,(z * (1 / x)) \ ((z * (1 / x)) \ 1)) = u. T(x,((y \ 1) \ 1) * (z \ ((u \ 1) \ 1))) = T(x,y * (z \ 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)). 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) \ ((1 / x) * z),L(u,x \ y,x)) = K((x \ ((x \ 1) \ y)) \ z,u). K((x \ y) \ ((1 / x) * z),L(u,y,x)) = K((x \ ((x \ 1) \ y)) \ z,u). K(x \ ((1 / y) * z),u) != w | K(x \ ((y \ 1) * z),u) = w. K((x \ y) \ ((x \ 1) * z),L(u,y,x)) = K((x \ ((x \ 1) \ y)) \ z,u). K(x \ (y * ((y \ 1) * z)),u) = K((y \ ((y \ 1) \ x)) \ z,u). K((x \ ((x \ 1) \ y)) \ z,u) = K(y \ (x * ((x \ 1) * z)),u). K((x \ ((x \ 1) \ y)) \ z,u) = K(y \ L(z,x,x),u). K((x \ ((x \ 1) \ y)) \ z,u) != w | K((x \ ((1 / x) \ y)) \ z,u) = w. K((x \ ((1 / x) \ y)) \ z,u) = K(y \ L(z,x,x),u). T(x \ 1,x \ y) * (x \ (y * z)) = (T(x \ 1,x \ y) * (x \ y)) * z. (T(x \ 1,x \ y) * (x \ y)) * z = T(x \ 1,x \ y) * (x \ (y * z)). T((1 / x) * (y / x),y) * z = T(x \ 1,x \ y) * (x \ (y * z)). T(x \ 1,x \ y) * (x \ (y * z)) = T((1 / x) * (y / x),y) * z. T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). x * (y * L(y \ (x * R(x \ y,z,u)),x * y,z * u)) = (x * y) * a(x * y,z,u). K(x,L((y * (z \ 1)) \ (z * u),y * z,z)) = K(x,T(y * (z \ (1 / z)),z) \ u). T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) = T(x,y \ (z \ T(w,1 / u))). T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) = T(x,y \ (z \ T(w,u \ 1))). (((x \ y) * K(z,u / (x \ y))) * x) \ ((x \ y) * x) = K(y \ (x * u),T(z,(x \ y) * x)). (T(K(x,y),z) * K(x * y,x)) * z = T((x \ R(x,y,x)) * z,K(x,y)). T((x \ R(x,y,x)) * z,K(x,y)) = (T(K(x,y),z) * K(x * y,x)) * z. T((x \ R(x,y,x)) * z,K(x,y)) = (T(x,K(y,z)) \ R(x,y,x)) * z. T((x \ R(x,y,x)) * z,K(x,y)) = (x \ R(T(x,K(y,z)),y,x)) * z. x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). (x * y) \ (((z * x) * R((z * x) \ x,u,u)) * y) = a(R(T(z,x * y),x,y),u,u). (x * y) \ ((z * (x * R(x \ (z \ x),u,u))) * y) = a(R(T(z,x * y),x,y),u,u). (x * y) \ (((z \ R(z,u,u)) * x) * y) = a(R(T(z,x * y),x,y),u,u). (x * y) \ ((a(z,u,u) * x) * y) = a(R(T(z,x * y),x,y),u,u). R(T(a(x,y,y),z * u),z,u) = a(R(T(x,z * u),z,u),y,y). a(R(T(x,y * z),y,z),u,u) = R(T(a(x,u,u),y * z),y,z). a(R(T(x,y * z),y,z),u,u) = R(a(x,u,u),y,z). K(x,L(y \ (z * u),y,L(z,z,u * z))) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). K(x,L(y \ (z * u),y,z)) = K(x,((R(u,z,z) \ (u * z)) \ y) \ R(u,z,z)). K(x,L(y \ (z * u),y,z)) != w | K(x,(z \ y) \ u) = w. K(x,(y \ z) \ u) = K(x,((R(u,y,y) \ (u * y)) \ z) \ R(u,y,y)). K(x,((R(y,z,z) \ (y * z)) \ u) \ R(y,z,z)) = K(x,(z \ u) \ y). T(K(x,L(y,z * z,(z * z) \ u)) * u,z * z) = T(K(x,y),z * z) * T(u,z * z). K(x,L(T(y,z) \ u,(y * z) / y,z \ y)) = K(x,((z \ y) \ T(y,z)) \ ((z \ y) \ u)). K(x,L(T(y,z) \ u,T(z,y),z \ y)) = K(x,((z \ y) \ T(y,z)) \ ((z \ y) \ u)). K(x,((y \ z) \ T(z,y)) \ ((y \ z) \ u)) = K(x,L(T(z,y) \ u,T(y,z),y \ z)). K(x,L((y * L(1 / y,z,u)) \ w,y,L(y,z,u))) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). K(x,(y * L(1 / y,z,u)) \ w) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y * L(1 / y,z,u)) \ w). x != K(y,(z * L(1 / u,w,v5)) \ v6) | K(y,(z * L(u \ 1,w,v5)) \ v6) = x. K(x,(y * L(y \ 1,z,u)) \ w) = K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)). K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y * L(y \ 1,z,u)) \ w). K(x,T(y \ 1,L(y,z,u)) \ (L(y,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). K(((x \ y) * x) \ z,T(u,T(x * y,x))) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). K(((x \ y) * x) \ z,T(u,y * x)) = K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x != T(y,K(z,u) * w) | T(y,K(u \ z,u) * w) = x. T(x,K(y \ z,y) * u) = u \ T(x * T(u,K(y,z)),K(y,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). x != T(y,K(z,u) * w) | T(y,K(u * z,u) * w) = x. T(x,K(y * z,y) * u) = u \ T(x * T(u,K(y,z)),K(y,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,z) * x). ((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). 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 \ 1)) = T(y,K(u \ 1,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x * T(y,K(z,u) * x) = T(y * T(x,K(z,u)),K(z,u)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. T(x,K(y,z) * u) = T(x,K(z,y) * u). x != T(y,K(z,u) * w) | T(y,K(z,z * u) * w) = x. T(x,K(y,y * z) * u) = T(x,K(z,y) * u). x \ y != T(z,K(u,w) * v5) | x * T(z,K(w,u) * v5) = y. x * T(y,K(z,u) * x) = T(y * T(x,K(u,z)),K(z,u)). T(x * T(y,K(z,u)),K(u,z)) = y * T(x,K(u,z) * y). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). K(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). T(x,y) = T(x,K(z,u) * (K(z,u) * y)). T(x,K(y,z) * (K(y,z) * u)) = T(x,u). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). T(x,T(y,z) \ u) = T(x,K(y,z) * (y \ u)). T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). T(x,T(y,z) / u) = T(x,K(z,y) * (y / u)). T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). T(x,y * (y * z)) != u | T(x,z * (y * y)) = u. T(x,y * (K(z,u) * K(z,u))) = T(x,y). T(x,y * (z * z)) != T(T(u,z * z),y) | u = x. x = T(x,K(y,z) * K(y,z)). T(x,K(y,z) * K(y,z)) = x. T(x,T(T(y,z),z) / u) = T(x,y / u). T(x,y * (T(T(y,z),z) \ u)) = T(x,u). T(x,K(y,z) * K(y,z)) != u | x = u. T(x,K(y,z) * (K(y,z) * u)) != w | T(x,u) = w. T(x,y * (K(z,u) * K(z,u))) != w | T(x,y) = w. T(x,(y / z) * (u * u)) != w | T(x,y * (z \ (u * u))) = w. T(x,y * (z \ (K(u,w) * K(u,w)))) = T(x,y / z). T(x,y * (z * (K(u,w) * K(u,w)))) = T(x,y * z). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). T(x,T(T(y / z,y),u) * w) != v5 | T(x,T(z \ y,u) * w) = v5. T(x,T(y \ z,z) * u) = T(x,(z / y) * u). T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. x != K(y,K(z,u) * w) | K(y,K(z,z \ u) * w) = x. K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). K(x,K(y,z) \ u) = K(x,K(y,z) * u). K(x,y \ z) = K(x,K(u,y) * (T(y,u) \ z)). K(x,K(y,z) * (T(z,y) \ u)) = K(x,z \ u). K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). K(x,K(y,(z * y) / u) * w) = K(x,K(z / (y \ u),y) * w). K(x,K(y / (z \ u),z) * w) = K(x,K(z,(y * z) / u) * w). K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,u * T(u \ ((y \ 1) \ u),z)). K(x,K(y,z) \ u) = K(x,K(z,y) \ u). K(x,K(y,z) \ (y / u)) = K(x,T(y,z) / u). K(x,L(K(y,z),u,w) \ v5) = K(x,K(L(z,u,w),y) \ v5). 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. K(x,y) = K(K(z,u) * (K(z,u) * x),y). K(K(x,y) * (K(x,y) * z),u) = K(z,u). K(T(x,y) \ z,u) = K(K(x,y) * (x \ z),u). K(K(x,y) * (x \ z),u) = K(T(x,y) \ z,u). K(T(T(x,y),y) / z,u) = K(x / z,u). K(x * (T(T(x,y),y) \ z),u) = K(z,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). K(x * y,z) = K(T(T(x,u),u) * y,z). K(T(T(x,y),y) * z,u) = K(x * z,u). K(T(x,x \ y) * z,u) = K((y / (y / x)) * z,u). T(x,y * (K(z,y) * u)) = T(x,T(y,z) * u). T(x,y \ (K(y,z) * u)) = T(x,T(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,z) \ u). T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). T(x,y \ (T(z,y) \ u)) = T(x,T(y,z) \ (z \ u)). T(x,T(y,z) \ (z \ u)) = T(x,y \ (T(z,y) \ u)). T(x,K(y,y * a(z,u,w)) * ((y * a(z,u,w)) / v5)) = T(x,(a(z,u,w) * y) / v5). T(x,T(y,z) * u) = T(x,(z / (z / y)) * u). T(x,(y / (y / z)) * u) = T(x,T(z,y) * u). 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,(L(z,y,z) * y) \ u). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). K(K(x,y) * (x \ z),u) != w | K((y * (x / y)) \ z,u) = w. K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). K(((x * y) / x) \ z,u) = K(T(y,x) \ z,u). K(((x * y) / x) / T(z,T(y,x)),u) != w | K(T(y * K(x,y),z) / z,u) = w. K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). T(x,y * ((z / y) \ u)) = T(x,T(y,y \ z) * ((y \ z) \ u)). T(x,T(y,y \ z) * ((y \ z) \ u)) = T(x,y * ((z / y) \ u)). T(x,y \ (y \ z)) = T(x,T(y,u) \ (T(y,u) \ z)). T(x,T(y,z) \ (T(y,z) \ u)) = T(x,y \ (y \ u)). T(x,y \ z) = T(x,T(T(y,u),u) \ z). T(x,T(T(y,z),z) \ u) = T(x,y \ u). T(x,(y / (y / z)) \ u) = T(x,T(z,z \ y) \ u). T(x,T(y,y \ z) \ u) = T(x,(z / (z / y)) \ u). T(x,(y / (y / (1 / z))) * u) != w | T(x,((z \ 1) * K((1 / z) \ y,1 / z)) * u) = w. T(x,((y \ 1) * K((1 / y) \ z,1 / y)) * u) = T(x,T(1 / y,z) * u). K(x,(((y \ z) \ z) \ z) \ u) = K(x,(z / y) \ u). K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,y \ ((z * u) / z))) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). K((x * (y / x)) \ z,L(u,y,x)) != w | K((y / x) \ (x \ z),u) = w. K((x / y) \ (y \ z),u) = K(T(x,y) \ z,L(u,x,y)). K(T(x,y) \ z,L(u,x,y)) = K((x / y) \ (y \ z),u). K(x \ y,z) = K(T(T(x,u),u) \ y,z). K(T(T(x,y),y) \ z,u) = K(x \ z,u). T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y,z) * (y \ u)) != w | T(x,T(y,z) \ u) = w. T(x,K(y,z) * (z * u)) != w | T(x,T(z,y) * u) = w. T(x,K(y,z) * (z / u)) != w | T(x,T(z,y) / u) = w. T(x,y \ T(T(z,u),u)) != w | T(x,y \ z) = w. T(x,y * (z \ (K(u,w) * K(u,w)))) != v5 | T(x,y / z) = v5. K(x,K(y,y \ z) * u) != w | K(x,K(y,z) * u) = w. T(x,K(y,z) * u) != w | T(x,K(z * y,z) * u) = w. T(x,K(y,y * z) * u) != w | T(x,K(y,z) * u) = w. T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. T(x,y * (z \ K(z,u))) = T(x,y / T(z,u)). T(x,y * (z * (u * (K(w,v5) * K(w,v5))))) = T(x,y * (z * u)). T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z \ u,z)) = T(x,y * (u / z)). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). T(x,y * T(z,z \ u)) = T(x,y * (u / (u / z))). T(x,(y \ z) * (y \ z)) = T(x,(z / y) * (z / y)). T(x,(y / z) * (y / z)) = T(x,(z \ y) * (z \ y)). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(T(x,x \ y) * z,u) != w | K(T(x,y) * z,u) = w. K(T(x,y) * z,u) = K((y / (y / x)) * z,u). K((x / (x / y)) * z,u) = K(T(y,x) * z,u). T(x,T(y,z) \ (T(y,z) \ u)) = T(T(x,u),y \ (y \ 1)). K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). T(x,y * T(z,z \ u)) != w | T(x,y * T(z,u)) = w. T(x,y * T(z,u)) = T(x,y * (u / (u / z))). T(x,y * (z / (z / u))) = T(x,y * T(u,z)). T(x,y * (z / u)) = T(x,y * T(u \ z,z)). T(x,y * T(z \ u,u)) = T(x,y * (u / z)). T(x,(y / z) * (y / z)) != u | T(x * K(z / y,x),y / z) = u. T(x * K(y / z,x),z / y) = T(x,(y \ z) * (y \ z)). K(x * T(y,z),u) = K(x * ((z * y) / z),u). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K(x * (y / z),u) = K(x * T(z \ y,z),u). K(x * T(y \ z,y),u) = K(x * (z / y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). K(x,(L(y,z,y) * u) \ w) != v5 | K(x,(y * u) \ w) = v5. K(x,(y * z) \ u) = K(x,T(z * y,y) \ u). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ u) = K(x,(z * (y / z)) \ u). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). K(x,L((y / z) \ u,u,z)) = K(x,T(y,z) \ (z * u)). x != K(y,T(z,u) \ w) | K(y,((u \ z) * u) \ w) = x. K(x,((y \ z) * y) \ u) = K(x,(y * (z / y)) \ u). x != K(y,T(z * u,z) \ w) | K(y,(u * z) \ w) = x. K(x,(y * z) \ u) = K(x,(z * ((z * y) / z)) \ u). K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). K(x,y \ ((z \ y) * u)) = K(x,T(y,z) \ ((y / z) * u)). K(x,T(y,z) \ ((y / z) * u)) = K(x,y \ ((z \ y) * u)). K(x,(y * (z / y)) \ u) \ 1 = K(((y \ z) * y) \ u,x). 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(T(y,z * z),1 / z) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). T(x,y * (K(z,y) * u)) != w | T(x,T(y,z) * u) = w. T(x,y \ (z / u)) = T(x,y \ (T(u,z) \ z)). T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)). T(x,y \ (T(z,u) \ u)) != w | T(x,y \ (u / z)) = w. T(x,y \ (z \ T(u,z))) = T(x,y \ (u / z)). K(x,L((y / R(z,u,z)) \ T(w,z),T(w,z),R(z,u,z))) = K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))). T(x * T(y,K(z,u) * x),K(u,z)) = y * T(x,K(u,z)). T(x,T(y,z) \ (T(y,z) \ u)) != w | T(x,y \ (y \ u)) = w. T(x * K(T(y \ z,z \ y) / 1,x),(y \ z) \ 1) = T(x,(T(y \ z,z \ y) \ 1) * (T(y \ z,z \ y) \ 1)). T(x * K(L(y,z,y) * z,x),y / (y * (z * y))) = T(x,((y * (z * y)) \ y) * ((y * (z * y)) \ y)). K(x,T(y * (y * z),y) \ ((T(y,y * z) * z) * u)) = K(x,(y * (y * z)) \ ((y \ (y * (y * 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,u). x != K((y * (z / y)) \ u,w) | K(T(z,y) \ u,w) = x. K(T(x,y) \ z,u) = K(((y \ x) * y) \ z,u). K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). K((x * y) \ z,u) = K((y * ((y * x) / y)) \ z,u). K((x * ((x * y) / x)) \ z,u) = K((y * x) \ z,u). K(((x \ y) * x) \ z,T(u,y * x)) != w | K((((1 / x) \ z) * (1 / x)) / (T((x \ 1) \ y,x) * (1 / x)),u) = w. K((((1 / x) \ y) * (1 / x)) / (T((x \ 1) \ z,x) * (1 / x)),u) = K(T(z,x) \ y,T(u,z * x)). K(T(x,y) \ z,T(u,x * y)) = K((((1 / y) \ z) * (1 / y)) / (T((y \ 1) \ x,y) * (1 / y)),u). K((x * y) \ z,u) = K(T(y * x,y) \ z,u). K(T(x * y,x) \ z,u) = K((y * x) \ z,u). 1 / (x \ K(T(y,z) \ u,x)) != w | T(x,((z \ y) * z) \ u) = w. K(x,T(y * z,y) \ u) * a(w,v5,K((z * y) \ u,x)) = K(x,L(T(y * z,y) \ u,v5,w)). K((x * y) \ z,u) = K((T(y,x) * x) \ z,u). K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). T(x,y * K(z,u)) = T(x,y * K(u,u * z)). T(x,y * K(z,z * u)) = T(x,y * K(u,z)). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ ((y * z) / y),u) = K(x \ T(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). K(x \ (y / (y / z)),u) = K(x \ T(z,z \ y),u). K(x \ T(y,y \ z),u) = K(x \ (z / (z / y)),u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x \ (((y * y) * ((y \ 1) * (y \ z))) / (y * y)),u) = K(x \ ((y \ 1) * (y \ T(z,y * 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(T(z,u),u)) != w | K(x,y \ z) = w. K(x,y \ T(z,u)) = K(x,y \ ((u * z) / u)). K(x,y \ ((z * u) / z)) = K(x,y \ T(u,z)). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). T(x,y * (z * (u * K(w,u)))) = T(x,y * (z * T(u,w))). x * y != T(z,u * (w * (v5 * K(v6,v5)))) | x \ T(z,u * (w * T(v5,v6))) = y. x \ T(x,y * (z * T(u,w))) = K(x,y * (z * (u * K(w,u)))). K(x,y * (z * (u * K(w,u)))) = x \ T(x,y * (z * T(u,w))). T(x,y * (z * u)) = T(x,y * (z * T(T(u,w),w))). T(x,y * (z * T(T(u,w),w))) = T(x,y * (z * u)). T(x,y * (T(z,u) * u)) = T(x,y * (u * z)). T(x,y \ (T(z,u) * u)) = T(x,(y \ 1) * (u * z)). T(x,(T(y,z) * z) * u) = T(x,T(u,z * y) * (z * y)). T(x,T(y,z * u) * (z * u)) = T(x,(T(u,z) * z) * y). x * K(x,y * (z * u)) = T(x,y * (T(u,z) * z)). T(x,y * (T(z,u) * u)) = x * K(x,y * (u * z)). T(x,y * (z * u)) != w | T(x,y * T(u * z,u)) = w. T(x,y * T(z * T(u,z),z)) = T(x,y * (z * u)). K(x,T(y,z * (u * w)) * (z * (T(w,u) * u))) != v5 | K(x,(z * (T(w,u) * u)) * y) = v5. T(x,T(y,z * (u * w)) * (z * (T(w,u) * u))) != v5 | T(x,(z * (T(w,u) * u)) * y) = v5. T(x,y \ (T(z,u) * u)) != w | T(x,y \ (u * z)) = w. K(x,y \ (T(z,u) * u)) = K(x,(y \ 1) * (u * z)). K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. K(x,y * (T(z \ u,w) * z)) = K(x,y * (z * T(u / z,w))). K(x,y * (T(z,u) * T(u,w))) = K(x,y * (u * (z * K(u,w)))). K(x,y * (T(z,T(u,w)) * ((w * u) / w))) = K(x,y * (((w * u) / w) * z)). K(x,y * (T(z,u) * (u * K(w,u)))) = K(x,y * (u * (z * K(w,u)))). K(x,y * (T(z,(u \ w) * (u \ w)) * (w / u))) = K(x,y * ((w / u) * (z * K(u / w,z)))). T(x,y * T(z * u,u)) = T(x,y * (u * z)). T(x,y * T(z,u)) = T(x,y * (u * (z / u))). T(x,y * (z * (u / z))) = T(x,y * T(u,z)). T(x,(y * z) * z) = T(x,z * (z * y)). K(x * T(y * z,z),u) = u / T(u,x * (z * y)). K(x,y \ (z * u)) = K(x,y \ (T(u,z) * z)). K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). K(x,y \ (T(z,u) * u)) != w | K(x,y \ (u * z)) = w. K(x,y \ (T(z,T(u,w) / w) * (T(u,w) / w))) = K(x,y \ ((u / T(w,u)) * z)). 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 * 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) * y,u),w) = K(x * T(T(z,u),y \ z),w). K(x * T(T(y,z),u \ y),w) = K(x * T((u \ y) * u,z),w). T(x,y \ (z * u)) = T(x,y \ T(u * z,z)). T(x,y \ T(z * u,u)) = T(x,y \ (u * z)). T(x,y \ (a(z,u,u) * w)) != v5 | T(x,y \ (w * a(z,u,u))) = v5. 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 * y) \ z) * (u / z)) = T(x,(y * y) \ T(u,z)). T(x,y * (T(z,u) * L(u,w,u))) != v5 | T(x,y * (L(u,w,u) * z)) = v5. K(x,y \ (T(z,u * w) * (T(w,u) * u))) != v5 | K(x,y \ ((T(w,u) * u) * z)) = v5. K(x,y \ (T(z,u * (u / w)) * ((w \ u) * u))) != v5 | K(x,y \ (((w \ u) * u) * z)) = v5. T(x,(T(y,z) * z) * u) != w | T(x,(z * y) * u) = w. T(x,((y * y) \ z) * (u / z)) != w | T(x,y \ (y \ T(u,z))) = w. K(x,y \ T(z * u,z)) != w | K(x,y \ (u * z)) = w. K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). K(x,y \ (z * u)) = K(x,y \ T(u * z,z)). K(x,y \ T(z * u,u)) = K(x,y \ (u * z)). K(x,y \ T((z * u) * (z \ 1),z \ 1)) = K(x,y \ (z * ((1 / z) * u))). K(x,y \ T((z / (1 / u)) * w,(u * u) * w)) = K(x,y \ (((u * u) * w) * (z / u))). K(x,y * (z * T(u,w))) = K(x,y * (z * (u * K(w,u)))). K(x,y * (z * (u * K(w,u)))) = K(x,y * (z * T(u,w))). K(x,y * (z * (u * K(w,u)))) != v5 | K(x,y * (z * T(u,w))) = v5. 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 * (z * T(u * w,u))) = K(x,y * (z * (T(u,u * w) * w))). K(x,y * (z * (T(u,u * w) * w))) = K(x,y * (z * T(u * w,u))). T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. T(x,T(y,z) \ u) != w | T(x,((z \ y) * z) \ u) = w. K(x,y * (z * ((u * w) / u))) != v5 | K(x,y * (z * T(w,u))) = v5. K(x,(y \ 1) * (z * T(u,w))) = K(x,y \ (z * ((w * u) / w))). K(x,y \ (z * ((u * w) / u))) = K(x,(y \ 1) * (z * T(w,u))). K(x,T(y,z * ((u * w) / u)) * (z * T(w,u))) = K(x,(z * ((u * w) / u)) * y). 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) * T(w,v5)) / T(u,w)))) = K(x,y \ (z * T(T(w,u),v5))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u \ 1,z) * x). T(x,K(y,z) * u) = T(x,K(y \ 1,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). K(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). K(x,K(y,z \ u) * w) = K(x,K(u \ z,y) * w). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). K(x,y * K(z,u \ 1)) = K(x,K(u,z) * T(y,K(z,u))). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) * u) = K(x,K(z,y \ z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). K(x,K(y,z) * (y \ u)) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,T(y,z) \ u) = K(x,u * T(u \ (y \ u),z)). K(x,y * T(y \ (z \ y),u)) = K(x,T(z,u) \ y). K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,y * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). 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(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). x != K(y,z * T(z \ (u \ z),w)) | K(y,T(u,w) \ z) = x. K(x,T(y \ 1,z) \ u) = K(x,K(y,z) \ ((y \ 1) \ u)). K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,T(y \ 1,z) \ u). K(x,y * (T(z,u) * T(u,w))) = K(x,y * (u * (z * K(w,u)))). K(x,y * (T(z,u) * T(u,w))) != v5 | K(x,y * (u * (z * K(u,w)))) = v5. K(x,y * (z * (u * K(z,w)))) = K(x,y * (z * (u * K(w,z)))). K(x,y * (z * (u * K(w,z)))) = K(x,y * (z * (u * K(z,w)))). x != K(y,K(z,u \ w) * (w / u)) | K(y,T(w / u,T(z,u))) = x. K(x,T(y / z,T(u,z))) = K(x,T(y / z,T(u \ (z \ y),z))). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) != w | K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))) = w. K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). T(x,y * (L(z,u,z) * w)) = T(x,y * (T(w,z) * z)). x != T(y,z * (T(u,w) * w)) | T(y,z * (w * u)) = x. T(x,y * (z * u)) = T(x,y * (L(z,w,z) * u)). T(x,y * (L(z,u,z) * w)) = T(x,y * (z * w)). T(x,y * L(z * u,z,z)) = T(x,y * (z * L(u,z,z))). K(x,y * (T(z,T(u,w)) * T(u,w))) = K(x,y * (((w * u) / w) * z)). K(x,y * (T(z,u) * u)) != w | K(x,y * (u * z)) = w. K(x,y * (T(z,u) * w)) = K(x,y * (((u * z) / u) * w)). K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). K(x,y * ((z / u) * w)) = K(x,y * (T(u \ z,u) * w)). K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). K(x,y * (z * u)) = K(x,y * (T(T(z,w),w) * u)). K(x,y * (T(T(z,u),u) * w)) = K(x,y * (z * w)). K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). K(x,(y \ z) * (T(T(y \ z,y),y) * u)) = K(x,T(y \ z,y) * ((z / y) * u)). K(x,y \ (z * (K(u,z) * w))) = K(x,(y \ 1) * (T(z,u) * w)). K(x,y \ (T(z,u) * w)) = K(x,y \ (z * (K(u,z) * w))). K(x,y \ (z * (K(u,z) * w))) = K(x,y \ (T(z,u) * w)). K(x,y \ ((z / u) * w)) = K(x,y \ (T(u \ z,u) * w)). K(x,y \ (T(z \ u,z) * w)) = K(x,y \ ((u / z) * w)). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ (T(z,u \ w) * (T(w,u) / u))) = K(x,y \ ((w / T(u,w)) * z)). K(x,T(y,z * T(u,w)) * (z * T(u,w))) = K(x,(z * ((w * u) / w)) * y). K(x,(y * T(z,u)) * w) = K(x,(y * ((u * z) / u)) * w). K(x,(y * ((z * u) / z)) * w) = K(x,(y * T(u,z)) * w). K(x,(y * (z / u)) * w) = K(x,(y * T(u \ z,u)) * w). K(x,(y * T(z \ u,z)) * w) = K(x,(y * (u / z)) * w). K(x,(y * z) * u) = K(x,(y * T(T(z,w),w)) * u). K(x,(y * T(T(z,u),u)) * w) = K(x,(y * z) * w). K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). x != K(y,z * u) | K(y,T(u,z) * z) = x. K(x,T(y,z * u) * (z * u)) = K(x,(T(u,z) * z) * y). K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). K(x,(T(y,z) * T(z,u)) * w) = K(x,(z * (y * K(z,u))) * w). K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. K(x,T(y,z) * u) = K(x,(z * (y / z)) * u). K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). K(x,(y * z) * u) = K(x,T(z * y,y) * u). K(x,T(y * z,z) * u) = K(x,(z * y) * u). K(x,(y * T(z \ y,z)) * u) != w | K(x,((z \ y) * y) * u) = w. K(x,((y \ z) * z) * u) = K(x,(z * (z / y)) * u). K(x,(T(y,z) * z) * u) != w | K(x,(z * y) * u) = w. K(x,(T(y,z) * L(z,u,z)) * w) != v5 | K(x,(L(z,u,z) * y) * w) = v5. K(x,(L(y,z,y) * u) * w) = K(x,(T(u,y) * y) * w). x != K(y,(T(z,u) * u) * w) | K(y,(u * z) * w) = x. 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,(T(y,z) * u) * w) = K(x,(((y \ z) \ z) * u) * w). K(x,(((y \ z) \ z) * u) * w) = K(x,(T(y,z) * u) * w). K(x,((((y \ z) \ 1) \ 1) * z) * u) != w | K(x,((z \ y) \ z) * u) = w. K(x,((y \ z) \ y) * u) = K(x,(T(z \ y,1) * y) * u). K(x,(T(y \ z,1) * z) * u) = K(x,((z \ y) \ z) * u). K(x,((y \ z) * z) * u) = K(x,((z \ y) \ z) * u). K(x,((y \ z) \ y) * u) = K(x,((z \ y) * y) * u). x != K(y,((z \ u) * u) * w) | K(y,(u * (u / z)) * w) = x. K(x,(y * (y / z)) * u) = K(x,((y \ z) \ y) * u). K(x,((y \ z) \ y) * u) = K(x,(y * (y / z)) * u). K(x,y \ (z * T((T(u,w) * w) / T(u,w),v5))) = K(x,y \ (z * T(T(w,u),v5))). K(x,y * (T(T(z,u),u) * w)) != v5 | K(x,y * (z * w)) = v5. K(x,(y \ z) * ((y \ z) * u)) = K(x,T(y \ z,y) * ((z / y) * u)). K(x,T(y \ z,y) * ((z / y) * u)) = K(x,(y \ z) * ((y \ z) * u)). K(x,y \ (z * T(u * K(w,u),v5))) = K(x,y \ (z * T(T(u,w),v5))). T(x,a(y,z,K(u,w)) * ((y * a(w,z,u)) / v5)) = T(x,(a(w,z,u) * y) / v5). K(x,(T(T(y,z * z),z \ 1) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). K(x,y \ T((z / (1 / u)) * w,u * (u * w))) = K(x,y \ (((u * u) * w) * (z / u))). K(x,(y * K(z,u \ 1)) \ w) != v5 | K(x,(y * K(z,u)) \ w) = v5. K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,(y * K(z * u,u)) \ w) != v5 | K(x,(y * K(z,u)) \ w) = v5. K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,(T(y,(z \ 1) * (z * z)) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(T(y,z) * (1 / z)) \ u) = K(x,T((z \ 1) * y,z * z) \ u). K(x,T((y \ 1) * z,y * y) \ u) = K(x,(T(z,y) * (1 / y)) \ u). K(x,T((y \ 1) * z,y * y) \ u) != w | K(x,(T(z,y) * (y \ 1)) \ u) = w. K(x,(y * z) \ u) * a(w,v5,K((y * z) \ u,x)) = K(x,L(T(z * y,z) \ u,v5,w)). K(x,L((y * z) \ u,w,v5)) = K(x,L(T(z * y,z) \ u,w,v5)). K(x,L(T(y * z,y) \ u,w,v5)) = K(x,L((z * y) \ u,w,v5)). K(x,L(T((y * z) * (1 / y),y * z) \ u,w,v5)) != v6 | K(x,L(R(z,y,y) \ u,w,v5)) = v6. K(x,L(R(y,z,z) \ u,w,v5)) = K(x,L(((1 / z) * (z * y)) \ u,w,v5)). K(x,L(((1 / y) * (y * z)) \ u,w,v5)) = K(x,L(R(z,y,y) \ u,w,v5)). K(x,L(L(y,z,z) \ u,w,v5)) = K(x,L(R(y,z,z) \ u,w,v5)). K(x,L(R(y,z,z) \ u,w,v5)) = K(x,L(L(y,z,z) \ u,w,v5)). K(x,L(R(y,z,z) \ u,a(y,z,z),y)) != w | K(x,a(y,z,z) \ (y \ u)) = w. K(x,a(y,z,z) \ (y \ u)) = K(x,L(L(y,z,z) \ u,a(y,z,z),y)). K(x,L(L(y,z,z) \ u,a(y,z,z),y)) = K(x,a(y,z,z) \ (y \ u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). K(x * K(y,z),u) = K(x * K(y \ 1,z),u). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). K(x * K((x \ y) \ 1,z),T(u,y)) != w | K(y * T(x / y,z),u) = w. K(x * T(y / x,z),u) = K(y * K(y \ x,z),T(u,x)). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | K(y \ T(z * y,u),w) = x. K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(((x * y) / x) / z,u) != w | K(T(y,x) / z,u) = w. K((x * K(y,x)) / z,u) != w | K(T(x,y) / z,u) = w. K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). K(x,T(y / z,u)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). K(x,T(y / z,y / (u \ z))) != w | K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))) = w. K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | K(y,w \ K(u,z)) = x. K(x,y \ K(z,u \ 1)) = K(x,(L(K(z,u),y,K(z,u)) * y) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u \ 1,z)) = w. K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). K(x,(y \ z) \ K(u \ 1,y)) != w | K(x,z \ T(y,1 / u)) = w. K(x,y \ T(z,1 / u)) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). K(x,(y \ z) \ K(u,y)) != w | K(x,z \ T(y,u)) = w. K(x,y \ T(z,u)) = K(x,y \ T(z,1 / u)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T((z * u) * (z \ 1),z \ 1)) != w | K(x,y \ (z * ((1 / z) * u))) = w. K(x,y \ (z * ((1 / z) * u))) = K(x,y \ T((z * u) * (z \ 1),z)). K(x,y \ T((z * u) * (z \ 1),z)) = K(x,y \ (z * ((1 / z) * u))). K(x,y \ T(z,T(u,w))) = K(x,y \ T(z,w \ (u \ w))). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,y \ R(z,u,u)) = K(x,y \ (u * ((1 / u) * z))). K(x,y \ (z * ((1 / z) * u))) = K(x,y \ R(u,z,z)). K(x,y \ (z * ((1 / z) * u))) != w | K(x,y \ L(u,z,z)) = w. K(x,y \ L(z,u,u)) = K(x,y \ R(z,u,u)). K(x,y \ R(z,u,u)) = K(x,y \ L(z,u,u)). K(x,R(y,z,z) / u) = K(x,T(u,R(y,z,z)) \ L(y,z,z)). K(x,T(y,R(z,u,u)) \ L(z,u,u)) = K(x,R(z,u,u) / y). K(x,((R(y,z,z) \ (y * z)) \ u) \ R(y,z,z)) != w | K(x,(z \ u) \ y) = w. K(x,(y \ z) \ u) = K(x,((R(u,y,y) \ (u * y)) \ z) \ L(u,y,y)). K(x,((R(y,z,z) \ (y * z)) \ u) \ L(y,z,z)) = K(x,(z \ u) \ y). K(x,T(y,L(z,u,u)) \ L(z,u,u)) = K(x,R(z,u,u) / y). K(x,L(y,z,z) / u) = K(x,R(y,z,z) / u). K(x,R(y,z,z) / u) = K(x,L(y,z,z) / u). K(x,(L(y,y,z) \ u) \ L(z,y,y)) = K(x,(y \ u) \ z). K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / (T((y \ 1) \ x,y) * (1 / y)),u). K(x \ ((((y \ 1) \ 1) * (y \ z)) / (y * y)),u) = K(x \ ((y \ 1) * (y \ T(z,y * y))),u). K(x \ ((K(y,y \ 1) * z) / (y * y)),u) = K(x \ ((y \ 1) * (y \ T(z,y * y))),u). K(x \ (K(y,y \ 1) * (z / (y * y))),u) = K(x \ ((y \ 1) * (y \ T(z,y * y))),u). K(x \ (y * (z \ (1 / z))),u) = K(x \ ((z \ 1) * (z \ T(y,z * z))),u). K(x \ ((y \ 1) * (y \ T(z,y * y))),u) = K(x \ (z * (y \ (1 / y))),u). K(x \ ((y \ 1) * (y \ T(z,y * y))),u) = K((x \ z) * (y \ (1 / y)),u). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). x != K(y / (z * (1 / u)),w) | K(y / (z * (u \ 1)),w) = x. K((((x \ 1) \ y) * (x \ 1)) / (T((x \ 1) \ z,x) * (x \ 1)),u) = K(T(z,x) \ y,T(u,z * x)). K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / (T((y \ 1) \ x,y) * (y \ 1)),u). K(x,L((y / R(z,u,z)) \ T(w,z),T(w,z),L(z,u,z))) = K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))). T(x * K(y * z,x),y / (y * (z * y))) = T(x,((y * (z * y)) \ y) * ((y * (z * y)) \ y)). T(x,y / (y * (z * y))) != u | T(x,z \ (y \ 1)) = u. T(x * K(y * z,x),z \ (y \ 1)) = T(x,((y * (z * y)) \ y) * ((y * (z * y)) \ y)). K(x,T(y,y \ z) \ u) != w | K(x,((y \ z) \ z) \ u) = w. K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). x != K(y,T(z * u,u) \ w) | K(y,(u * z) \ w) = x. K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),(z * y) \ y)). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). 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(z,y)),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)). T(x * K(T(y \ z,z \ y),x),(y \ z) \ 1) = T(x,(T(y \ z,z \ y) \ 1) * (T(y \ z,z \ y) \ 1)). T(x * K(y \ z,x),(y \ z) \ 1) = T(x,(T(y \ z,z \ y) \ 1) * (T(y \ z,z \ y) \ 1)). T(x * K(y \ z,x),z \ y) = T(x,(T(y \ z,z \ y) \ 1) * (T(y \ z,z \ y) \ 1)). T(x * K(y \ z,x),z \ y) != u | T(x,(z \ y) * (z \ y)) = u. T(x,(y \ z) * (y \ z)) = T(x,(T(z \ y,y \ z) \ 1) * (T(z \ y,y \ z) \ 1)). T(x,(T(y \ z,z \ y) \ 1) * (T(y \ z,z \ y) \ 1)) = T(x,(z \ y) * (z \ y)). T(x,(1 / (y \ z)) * (T(y \ z,z \ y) \ 1)) = T(x,(z \ y) * (z \ y)). T(x,(1 / (y \ z)) * (1 / (y \ z))) = T(x,(z \ y) * (z \ y)). T(x,(y \ z) \ (1 / (y \ z))) = T(x,(z \ y) * (z \ y)). T(x,(y \ z) \ ((y \ z) \ 1)) = T(x,(z \ y) * (z \ y)). T(x,(y \ z) \ ((y \ z) \ u)) = T(T(x,u),(z \ y) * (z \ y)). T(T(x,y),(z \ u) * (z \ u)) = T(x,(u \ z) \ ((u \ z) \ y)). T(x,(y \ z) \ ((y \ z) \ 1)) != u | T((z * x) / z,y * (z \ y)) = u. T((x * y) / x,z * (x \ z)) = T(y,(x \ z) * (x \ z)). T(x,y \ (z * ((z \ y) \ 1))) = T(x,(y \ z) * (y \ z)). T(x,(y * z) \ (y * (z \ 1))) = T(x,((y * z) \ y) * ((y * z) \ y)). T(x,((y * z) \ y) * ((y * z) \ y)) = T(x,(y * z) \ (y * (z \ 1))). T(x,(y \ z) * ((y \ z) * u)) = T(x,(z \ y) \ ((z \ y) \ u)). T(x,(y \ z) \ ((y \ z) \ u)) = T(x,(z \ y) * ((z \ y) * u)). T(x,(y \ z) \ ((y \ z) \ u)) != w | T(x,(z \ y) * ((z \ y) * u)) = w. T(x,(y \ z) \ (K(y,y \ z) * u)) = T(x,(z \ y) * ((z \ y) * ((z / y) * u))). T(x,(y \ z) * ((y \ z) * ((y / z) * u))) = T(x,(z \ y) \ (K(z,z \ y) * u)). T(x,((y * z) \ y) * ((y * z) \ y)) = T(x,z \ (z \ 1)). T(x,((y * (z * y)) \ y) * ((y * (z * y)) \ y)) != u | T(x * K(y * z,x),z \ (y \ 1)) = u. T(x * K(y * z,x),z \ (y \ 1)) = T(x,(z * y) \ ((z * y) \ 1)). T(x * K(y * z,x),z \ (y \ 1)) = T(x,y \ (z \ ((z * y) \ 1))). T(x * K(y * z,x),z \ (y \ 1)) != u | T(x,(z \ (y \ 1)) * (z \ (y \ 1))) = u. T(x,(y \ (z \ 1)) * (y \ (z \ 1))) = T(x,z \ (y \ ((y * z) \ 1))). T(x,(y \ z) * ((y \ z) * ((y / z) * u))) = T(x,T(z \ y,z) \ u). x != T(y,T(z \ u,z) \ w) | T(y,(u / z) \ w) = x. T(x,(y / z) \ u) = T(x,(y \ z) * ((y \ z) * ((y / z) * u))). T(x,(y \ z) * ((y \ z) * ((y / z) * u))) = T(x,(y / z) \ u). T(x,a(y,y,z) * ((L(z,y,y) \ z) * ((L(z,y,y) / z) * u))) = T(x,(L(z,y,y) / z) \ u). T(x,a(y,y,z) * (a(y,y,z) * ((L(z,y,y) / z) * u))) = T(x,(L(z,y,y) / z) \ u). T(x,a(y,y,z) * (a(y,y,z) * ((z \ L(z,y,y)) * u))) = T(x,(L(z,y,y) / z) \ u). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | K(y,z \ T(u,T(v5,w))) = x. K(x,(y * K(z \ 1,y * z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | K(y,(z * K(w,u)) \ v5) = x. K(x,(y * K(y * z,z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). x != K(y,(z * K(u * w,w)) \ v5) | K(y,(z * K(u,w)) \ v5) = x. K(x,(y * K(y,z)) \ T(u,T(z,y))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | K(y,T(w / z,u \ z)) = x. K(x,T(y / z,u \ z)) = K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,T(z,u))) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y,z \ u)) = K(x,T(y,u * z)). K(x,T(y,z)) = K(x,T(y,u * (u * z))). K(x,T(y,z * (z * u))) = K(x,T(y,u)). K(x,T(L(y,z,u),w \ v5)) = K(x,L(T(y,w * v5),z,u)). K(x,L(T(y,z * u),w,v5)) = K(x,T(L(y,w,v5),z \ u)). K(x,y) = K(x,T(y,z * z)). K(x,T(y,z * z)) = K(x,y). K(x,T(y,z * u)) * K(y,x) = K(x,K(y,z \ u)). K(x / (y * y),z) = K((y * y) \ x,z). K(x,L(y,z,u)) = K(x,L(T(y,w * w),z,u)). K(x,L(T(y,z * z),u,w)) = K(x,L(y,u,w)). T(K(x,y),z * z) = K(x,y). K(x,T(y,z * z)) * u != K(x,y) | 1 = u. 1 = K(x,K(y,z * z)). K(x,K(y,z * z)) = 1. K(x,((y * y) \ z) * u) = K(x,z * (u / (y * y))). K(x,T(y,z * z)) != u | K(x,y) = u. K(x,T(T(y,z * z),u)) != w | K(x,T(y,u)) = w. K(x,T(y,z \ (z \ 1))) = K(x,y). T(x,K(y,z * z)) = x. K(x,T(y * y,z)) = K(x,y * y). K(x * x,T(y,z)) = K(x * x,y). T(x,T(y * y,z)) = T(x,y * y). T(x,T(y,z * z)) = T(x,y). K(x * x,y) * (z * (x * x)) = z * T(x * x,y). T(x,T(y,z * z)) != u | T(x,y) = u. x * K(y,z * z) != u | K(y,z * z) * x = u. T(K(x,L(y,z * z,(z * z) \ u)) * u,z * z) = K(x,y) * T(u,z * z). (((x \ 1) * (y * x)) / (x \ 1)) / T(1 / x,x * y) = y * (x * x). T(x,T(y,z * (z * u))) = T(x,T(y,u)). K(x,T(y,z \ (z \ 1))) != u | K(x,y) = u. T(T(x,y),z \ (z \ 1)) = T(x,y) * K(z * z,x). L(x \ T(y,z * z),x,T(z * z,u)) = (T(z * z,u) * x) \ (y * T(z * z,u)). K(x,T(y,z * (z * u))) != w | K(x,T(y,u)) = w. K(x,T(y,z * (u * u))) != w | K(x,T(y,z)) = w. T(x,T(y,z * (z * u))) != w | T(x,T(y,u)) = w. K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,T(y,K(z,u) \ w)) = K(x,T(w,K(z,u)) \ T(y * w,K(z,u))). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). K(x * (x * y),z) = K(x * (x * y),T(z,y)). K(x * (x * y),T(z,y)) = K(x * (x * y),z). K(x / ((y * y) * z),u) = K((y * y) \ (x / z),u). T(x,T(y,z * u)) = T(x,T(y,z \ u)). T(x,T(y,z \ u)) = T(x,T(y,z * u)). K(x,T(y,z)) = K(x,T(y,(u \ z) * u)). K(x,T(y,(z \ u) * z)) = K(x,T(y,u)). (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). K(x,T(y * (z * u),z * y)) != w | K(x,L(u,z,y) * (y * z)) = w. T(x / (x \ y),z) = T(x / (x \ y),T(z,(y / x) * x)). T(x / (x \ y),T(z,(y / x) * x)) = T(x / (x \ y),z). T(x / (y / z),T(z \ y,y \ (z * x))) != u | T((y / z) \ x,K(y,z)) = u. T((x / y) \ z,K(x,y)) = T(z / (x / y),T(y \ x,x * (y * z))). T(x / (y / z),T(z \ y,y * (z * x))) = T((y / z) \ x,K(y,z)). K(x,T(y,(z \ u) * z)) != w | K(x,T(y,T(u,z))) = w. K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,y * T(z,u)) = K(x,T(T(z,u) * y,z)). K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). K(x * T(y,z),u) = K(T(y,z) * x,T(u,y)). K(T(x,y) * z,T(u,x)) = K(z * T(x,y),u). K(T(x,y) * z,u) = K(z * T(x,y),T(u,x)). K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). K(x \ T(y,z),u) = K(T(y,z) / x,T(u,y)). K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u). K(x * y,z) = K(y * x,T(z,T(y,u))). K(x * y,T(z,T(x,u))) = K(y * x,z). x != K(y \ z,T(u,z)) | K(z / y,u) = x. K(x / y,z) = K(y \ x,T(z,T(x,u))). K(x \ y,T(z,T(y,u))) = K(y / x,z). T(K(x,y),z) = K(x,T(y,T(z,u))). K(x,T(y,T(z,u))) = T(K(x,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,T(y,z)) * T(z,u) = T(z,u) * K(x,y). K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. K(x \ y,T(z,T(x,u))) != w | K(y / x,z) = w. K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). K(x * T(y,z),T(u,y)) != w | K(T(y,z) * x,u) = w. T(K(x,y),T(z,u)) = T(K(x,y),z). K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. T(K(x,y),K(z,u)) = K(x,y). x != T(K(y,z),u) | T(K(y,z),T(u,w)) = x. T(K(x,y),T(z,u)) = T(K(x,y),T(z,w)). x * T(K(y,z),u) != T(K(y,z),T(u,w)) | 1 = x. 1 = K(x,K(y,K(z,u))). K(x,K(y,K(z,u))) = 1. 1 = K(K(x,y),K(z,u)). K(K(x,y),K(z,u)) = 1. T(x,K(y,K(z,u))) = x. T(x,K(y,z) * u) = T(x,u * K(y,z)). T(x,y \ K(z,u)) = T(x,K(z,u) / y). T(x,K(y,z) / u) = T(x,u \ K(y,z)). K(x,T(y,K(z,u))) = K(x,y). K(x,K(y,z)) * u = u * K(x,K(y,z)). T(x,T(y,K(z,u))) = T(x,y). T(K(x,K(y,z)),u) = K(x,K(y,z)). x != T(y,K(z,K(u,w))) | x = y. T(x,K(y,K(z,u))) != w | w = x. K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. T(x,T(y,K(z,u))) != w | T(x,y) = w. x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. T(x,K(y,z) / u) != w | T(x,u \ K(y,z)) = w. T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). K(x,y \ K(z,u)) = K(x,K(z,u) / y). K(x,K(y,z) / u) = K(x,u \ K(y,z)). K(T(x,K(y,z)),u) = K(x,u). (K(x,y) * K(z,u)) * K(y,x) = K(z,u). x \ y != T(K(z,u),K(w,v5)) | x * K(z,u) = y. K(x,y) * K(z,u) = K(u,z) \ K(x,y). K(x,y) \ K(z,u) = K(z,u) * K(y,x). K(x,y) * K(z,u) = K(z,u) * K(x,y). K(x,y) * T(x,K(z,u)) = T(T(x,K(z,u)),y). T(x,y) * K(z,u) = (x * K(z,u)) * K(x,y). (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,y * K(z,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(K(x,y) * (z * x),u) = K(z * T(x,y),u). K(x * K(y,z),u) = K(K(y,z) * x,u). K(K(x,y) * z,u) = K(z * K(x,y),u). K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). K(T(x,K(y,z)),u) != w | K(x,u) = w. K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). K(x,y * K(z,u)) = K(x,K(u,z) \ y). K(x,K(y,z) \ u) = K(x,u * K(z,y)). K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). T(x,T(y,T(z,u))) = T(x,T(y,z)). K(x * K(y,z),u) = K(K(z,y) \ x,u). K(K(x,y) \ z,u) = K(z * K(y,x),u). T(K(x,K(y,z)),u) != w | K(x,K(y,T(z,u))) = w. K(x,K(y,T(z,u))) = K(x,K(y,z)). x * R(K(y,K(z,u)),w,w \ x) = (K(y,K(z,u)) * w) * (w \ x). T(x,T(y,z * u)) = T(x,T(y,u * z)). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(y,z)) = K(y,K(z,T(x,u))). K(x,K(y,T(z,u))) = K(z,K(x,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,T(z,u))) != w | K(z,K(x,y)) = w. K(x,K(y,z)) * K(x,y \ T(z,u)) = K(x,T(z,u) / y). K(x,K(y,z)) * K(x,y / T(z,u)) = K(x,T(z,u) \ y). K(x,K(y,z)) * K(x,y \ T(z,u)) != w | K(x,T(z,u) / y) = w. K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,K(y,z)) * K(x,((y \ u) \ u) / z) = K(x,z \ ((y \ u) \ u)). K(x,K(y,z * u)) = K(x,K(y,u * z)). 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(x,K(y,z)) = w. K(x,T(y,z)) * K(x,K(y,u)) = K(x,T(T(y,z),u)). K(x,K(y,z)) * K(x,T(y,u) / z) = K(x,z \ T(y,u)). K(x,K(y,z * u)) = K(x,K(u * z,y)). K(x,K(y * z,u)) = K(x,K(u,z * y)). K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). x != K(y,K(z,u)) | K(y,K(z,T(u,w))) = x. K(x,K(y,T(z,u))) = K(y,K(z,T(x,w))). K(x,K(y,T(z,u))) = K(z,K(x,T(y,w))). x * K(y,K(z,u)) = K(z,K(u,y)) * x. K(x,K(y,z)) * u = u * K(z,K(x,y)). T(x,K(y,z) * (u / z)) != w | T(x,u / T(z,y)) = w. T(x,y * (z * K(y,u))) != w | T(x,T(y,u) * z) = w. T(x * K(y,z),T(u,x)) != w | T(x * K(y,z),u) = w. L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. T(x,K(y,y \ z) * (u * (y \ z))) != w | T(x,u * (z / y)) = w. T(x,K(y,z) * (u \ y)) != w | T(x,u \ T(y,z)) = w. K(x,y / K(z,u)) != w | K(x,K(z,u) \ y) = w. K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. K(x,T(y / T(z,u),z)) != w | K(x,T(z,u) \ y) = w. K(x,y * (z * K(y,u))) != w | K(x,T(y,u) * z) = w. K(L((x \ y) / K(z,u),K(z,u),x),w) != v5 | K((x * K(z,u)) \ y,w) = v5. K(K(x,y) * (z * x),u) != w | K(z * T(x,y),u) = w. K((((x * y) \ z) * (x * y)) / (K(y,u) * (x * y)),w) != v5 | K((x * T(y,u)) \ z,w) = v5. K(x * K(y,z),u) != w | K(K(z,y) \ x,u) = w. K((x \ y) * K(z,x),u) != w | K(T(x,z) \ y,u) = w. T(x,y) * K(z * x,u) = K(x * z,u) * T(x,y). K(x * y,z) * T(y,u) = T(y,u) * K(y * x,z). T(x,y) * K(x * z,u) = K(z * x,u) * T(x,y). x != K(((y \ z) * y) / u,T(w,y \ z)) | z \ (y * (K((y \ z) / (u / y),w) * (y \ z))) = x. x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). x != K(y,T(z,u \ w)) | K(y,T(z,u * w)) = x. 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,T(y,z \ u)) * (u / z) = (u / z) * K(x,y). L(K(x,T(y,z \ u)),w,v5) = K(x,L(T(y,u / z),w,v5)). T(K(x,y) * z,u) * T(K(y,x),T(w,v5)) = K(y,T(x,w)) * T(z * K(x,y),u). T(x,T(y,z) * u) = T(x,(y * u) * K(z,y)). T(x,(y * z) * K(u,y)) = T(x,T(y,u) * z). T(x,T(y,z) \ u) = T(x,(y \ u) * K(y,z)). T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). T(x,K(y,z) * u) = T(x,u * K(z,y)). T(x,K(y,z) * (u * (w \ (w \ 1)))) = T(x,u * ((w * w) \ K(y,z))). T(x,y * K(z,u)) != w | T(x,K(u,z) * y) = w. T(x,(y \ z) * K(y,u)) != w | T(x,T(y,u) \ z) = w. K(x,T(y,z)) * u = (K(x,y) * u) * K(x,K(y,z)). (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. x != T(K(y,z),u) * K(z,K(w,T(v5,u))) | T(K(y,z) * K(z,K(w,v5)),u) = x. T(K(x,y) * K(y,K(z,u)),w) = K(y,K(z,T(u,w))) * T(K(x,y),w). K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). x != (y * z) * K(u,K(w,L(v5,z,y))) | y * (z * K(u,K(w,v5))) = x. x * (y * K(z,K(u,w))) = K(z,K(u,L(w,y,x))) * (x * y). K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). x != (y * K(z,u)) * K(z,K(u,w)) | y * T(K(z,u),w) = x. x * T(K(y,z),u) = K(y,K(z,u)) * (x * K(y,z)). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). K(x,K(y,z)) * u = u * K(y,K(x,z)). K(x,K(y,z)) * u = u * K(y,K(z,x)). K(x,K(y,z)) * u = u * K(K(y,z),x). (K(x,y) * z) * K(x,K(y,u)) != w | K(x,T(y,u)) * z = w. K(x,y) * (z * K(x,K(y,u))) = K(x,T(y,u)) * z. x != K(y,(z * u) \ K(z,1 / z)) | K(y,T(1 / (u * z),u)) = x. K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x * (T(x,y) \ K(z,u)) = K(z,u) * K(y,x). x != K(y,z) * u | K(z,y) \ u = x. K(x,y) \ K(z,u) = K(u,z) \ K(y,x). K(x,K(y,z) * u) = K(x,u * K(z,y)). x != K(y,z * K(u,w)) | K(y,z * K(u \ 1,w)) = x. K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). K(x,K(y,z) * u) != w | K(x,K(y,z) \ u) = w. K(x,K(y,z) \ u) = K(x,u * K(y,z)). 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 * K(z,u)) != w | K(x,K(u,z) * y) = w. K(K(x,y) * z,u) = K(z * K(y,x),u). K(x * T(y \ z,y),u) != w | K(x * (z / y),u) = w. K(K(x,y) * (z / u),w) = K(T(u \ z,u) * K(x,y),w). K(T(x \ y,x) * K(z,u),w) = K(K(z,u) * (y / x),w). K(K(x \ y,x) * z,u) != w | K(K(y,x) * z,u) = w. K(K(x,y) * z,u) = K(z * K(y \ x,y),u). K(x * K(y \ z,y),u) = K(K(z,y) * x,u). K(K(x,y) * (z / x),u) = K(z / (x * K(y,x)),u). K(x / (y * K(z,y)),u) = K(K(y,z) * (x / y),u). K(K(x,L(y,z,u)) * (u * (z * y)),w) = K(u * (z * (y * K(x,y))),w). K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. K(x,K(y \ z,y) \ (u * (y \ z))) = K(x,u * (z / y)). K(x,K(y,z) \ (u / z)) = K(x,u / ((y * z) / y)). K(x,K(y,K(z,u) \ w)) \ (w * K(u,z)) = T(w * K(u,z),K(x,y)). K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). K(x,K(y,z / u)) = K(x,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). T(x,K(y,L((z / u) / w,w,u))) = x * K(x,K(y,(w * u) \ z)). 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. K(x,K(y,(1 / 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),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,y \ z) * K(x,K(z,y)) != u | K(x,z / y) = 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(z * y,u)) = w. K(x,K(y,z)) * K(x,((u \ y) * u) / z) = K(x,z \ ((u \ y) * u)). K(x,K(y,T(z,u))) * K(x * T(y,w),x) = K(x * T(y,w),T(x,z)). x * T(y,K(z,u)) = K(z,K(u,y)) * (x * y). K(x,K(y,z)) * (u * z) = u * T(z,K(x,y)). K(x,K(y,z)) * (u * z) != w | u * T(z,K(x,y)) = w. T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). T(x,K(y,z) * (u * z)) = T(x,u * T(z,y)). T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). x / T(y,K(z,u)) = K(y,K(z,u)) * (x / y). K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). K(x,K(y,z)) * (u * K(x,K(y,z))) != w | u = w. L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). K(x,K(y,z) * (u \ z)) = K(x,u \ T(z,y)). a(x,y,K(z,u * K(w,v5))) != v6 | a(K(v5,w) * u,y,K(z,x)) = v6. K(x,K(y,z) \ (u / z)) = K(x,u / T(z,y)). K(x * K(y,z),u) = K(x * K(z,y),u). K(K(x,x * y) * z,u) != w | K(K(x,y) * z,u) = w. K(K(x,y) * z,u) = K(z * K(x * y,x),u). K(x * K(y * z,y),u) = K(K(y,z) * x,u). x \ y != K(K(z,u) * w,v5) | x * K(w * K(u,z),v5) = y. (K(x,y) * z) * K(z * K(y,x),u) = T(K(x,y) * z,u). K(K(x,y) * (z / x),u) = K(z / T(x,y),u). K(K(x,L(y,z,u)) * (u * (z * y)),w) = K(u * (z * T(y,x)),w). K(K(x,y) \ z,u) = K(z * K(x,y),u). K((x \ y) \ z,u) = K(((y / x) \ z) * K(x \ y,x),u). K(((x / y) \ z) * K(y \ x,y),u) = K((y \ x) \ z,u). K(K(x,y) * (z * (x * y)),u) = K(z * (y * x),u). K(K(x,x \ y) * (z * y),u) = K(z * ((x \ y) * x),u). K(x,y) * (z * K(z * K(y,x),u)) = T(K(x,y) * z,u). K(K(K(x,y) * z,u) * w,v5) = K(w * K(u,K(y,x) * z),v5). x * (K(y,z) * K(x * K(z,y),u)) = T(x * K(y,z),u). K(x,((y \ 1) \ z) * (u * (y \ 1))) != w | K(x,(y \ z) * (u * y)) = w. K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. x != K(y,T(z,T(u,w))) | K(y,T(z,u)) = x. 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,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. K((x * (y \ x)) \ z,T(u,y)) != w | K(z / (x * (y \ x)),u) = w. K(((x / y) \ y) \ z,T(u,x)) != w | K(z / ((x / y) \ y),u) = w. K(x,L((y \ z) * y,u,w)) = K(x,L(y \ T(y * z,y \ 1),u,w)). K(x,L(y \ T(y * z,y \ 1),u,w)) = K(x,L((y \ z) * y,u,w)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x \ 1) * ((x \ 1) * y),x \ 1). K(x,T(K(y,z) * u,y)) = K(x,(y \ u) * T(y,z)). K(x * T(T(y,z),u),T(w,y)) = K(T(T(y,z),u) * x,w). K(T(x,y) / z,T(u,w)) = K(z \ T(x,y),T(T(u,x),w)). K(x \ T(y,z),T(T(u,y),w)) = K(T(y,z) / x,T(u,w)). K(x,y * z) * T(z,u) = T(z,u) * K(x,z * y). T(x,y) * K(z,x * u) = K(z,u * x) * T(x,y). K(x * y,z) * T(T(y,u),w) = T(T(y,u),w) * K(y * x,z). T(T(x,y),z) * K(x * u,w) = K(u * x,w) * T(T(x,y),z). x != T(T(y,K(z,u)),z * u) | T(y,u * z) = x. T(x,y * z) = K(x,z * y) * T(x,K(z,y)). K(x,y * z) * T(x,K(y,z)) = T(x,z * y). K(K(x * (1 / y),y) * (z * (x * (1 / y))),u) = K(z * (y \ R(x,1 / y,y)),u). T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). T(x,K(y,T(y \ z,u)) * (w / (y \ T(z,u)))) = T(x,w / T(y \ T(z,u),y)). T(x,K(y \ (y \ 1),(y \ 1) * z) * (u / ((y \ 1) * z))) = T(x,u / (y * (z * (y \ (1 / y))))). T(x,y * (z * K(u,y))) = T(x,T(y,u) * z). K(x,y) * T(x * K(y,x),T(z,u) \ w) = T(x,T((z \ w) * K(z,u),y)). T(x,T((y \ z) * K(y,u),w)) = K(x,w) * T(x * K(w,x),T(y,u) \ z). x \ (K(y,z) * K(u,x)) != w | T(x,u) \ K(y,z) = w. K(x,(y \ z) * K(y,u * ((w \ 1) \ v5))) = K(x,T(y,u * ((1 / w) \ v5)) \ z). K(x,(y \ z) * K(y,u * ((w \ 1) * v5))) = K(x,T(y,u * ((1 / w) * v5)) \ z). K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). K(x,(y \ z) * K(u,z)) = K(x,y \ T(z,u)). x != T(y,z) | K(y,z) * y = x. K(x,y * z) * x = K(x,z * y) * T(x,K(z,y)). K(x,y * z) * T(x,K(y,z)) = K(x,z * y) * x. T(x,y / ((z * u) / z)) = T(x,y / T(u,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(x,y / z) = T(x,y / T(T(z,u),u)). T(x,y / T(T(z,u),u)) = T(x,y / z). K(x,y) * T(x * K(y,x),z / T(u,w)) = T(x,T(z / ((w * u) / w),y)). T(x,T(y / ((z * u) / z),w)) = K(x,w) * T(x * K(w,x),y / T(u,z)). T(x,y / ((z \ T(u,w)) / (1 / z))) = T(x,y / T(T(z \ ((z \ 1) \ u),w),1 / z)). T(x,y / T(T(z \ ((z \ 1) \ u),w),1 / z)) = T(x,y / ((z \ T(u,w)) / (1 / z))). x != T(y,z) | y / K(z,y) = x. x / K(y / z,x) = T(x,y / T(T(z,u),u)). T(x,y / T(T(z,u),u)) = x / K(y / z,x). T(x,y / T(T(z,u),u)) != w | T(x,y / z) = w. K(x,T(y,(z * z) \ u)) = K(x,T(y,u)). K(x,T(((y \ 1) * z) \ u,u)) = K(x,(y * ((y \ 1) \ u)) / (y * z)). K(x,y / ((z * z) \ u)) = K(x,T(((z * z) \ u) \ y,u)). K(x,T(((y * y) \ z) \ u,z)) = K(x,u / ((y * y) \ z)). T(x,T(y,y * z)) != u | T(x,T(y,z)) = u. K(x,K(y,z)) * u != w | u * K(z,K(x,y)) = w. x * T(y,K(z,u)) != w | (x * y) * K(z,K(u,y)) = w. x * K(y,K(z,u)) != w | K(z,K(y,u)) * x = w. x * K(y,K(z,u)) != w | K(z,K(u,y)) * x = w. x * K(y,K(z,u)) != w | K(y,K(u,z)) * x = w. K(x,T(K(y,z) * (u * y),w)) != v5 | K(x,T(u * T(y,z),w)) = v5. K(x * (y * (z / y)),u) != w | K(K(y,y \ z) * (x * z),u) = w. K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. K(x,K(y * z,y) * u) != w | K(x,u * K(z,y)) = w. K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. K(K(x,y) \ z,u) != w | K(K(y,x) \ z,u) = w. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. K(x,L(y,z,u) * (u * z)) != w | K(x,T(u * (z * y),z * u)) = 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. T(x,y / T(z \ u,z)) != w | T(x,y / (u / z)) = w. T(x,T(y,z) \ z) != u | T(x,z / y) = u. T(x,y \ T(z,y)) != u | T(x,z / y) = u. T(x,K(y,z) * (y \ z)) != u | T(x,z / y) = u. T(x,y \ L(T(z,y),u,w)) != v5 | T(x,L(z,u,w) / y) = v5. T(x,T(y \ z,z) \ T(u,z / y)) != w | T(x,u / T(y \ z,z)) = w. T(x,T(y * z,z) \ T(u,z * y)) != w | T(x,u / T(y * z,z)) = w. T(x,(y \ ((y \ 1) \ z)) \ T(u,z)) != w | T(x,u / (y \ ((y \ 1) \ z))) = w. T(x,(y * (z \ 1)) \ T(u,y / z)) != w | T(x,u / (y * (z \ 1))) = w. T(x,T(y,z \ u) \ T(w,T(y,z * u))) != v5 | T(x,w / T(y,z \ u)) = v5. K((x \ y) / z,L(u,z,x)) != w | K((x * z) \ y,T(u,x * y)) = w. K(x,T(y,z / u)) != w | K(x,T(y,u * 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)) != 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)) = K(x,K(y * (z \ u),z * u)). K(x,K(y * (z \ u),z * u)) = K(x,K(y,z \ u)). K(x,K(y \ z,u)) = K(x,K(u,y * z)). x \ y != K(z,K(u,w \ v5)) | x * K(z,K(u,w * v5)) = y. x * K(x,K(y,z * u)) = T(x,K(y,z \ u)). K(x,K(y,z)) = K(x,K(y,u * (u * z))). K(x,K(y,z * (z * u))) = K(x,K(y,u)). K(x,K(y,z \ (z \ u))) = K(x,K(y,u)). K(x,K(y,z * u)) * K(x,y / (z \ u)) = K(x,(z \ u) \ y). K(x,K(y,z * u)) != w | K(x,K(y,u / z)) = w. K(x,K(y / z,u)) = K(x,K(u,z * 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 \ 1),u)) != w | K((z / (y \ 1)) * T((z / (1 / y)) \ 1,x),u) = w. K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(u,y * (x \ 1))). K(x,K(y,z * u)) != w | K(x,K(y,z \ u)) = w. K(x,K(y,z)) * K(y,x \ (u * (u * z))) = K(y,(u * (u * z)) / x). K(x,K(y,z * (u \ z))) = K(x,K(y,u)). K(x,K(y,z)) * K(y,(u \ (u \ z)) \ x) = K(y,x / (u \ (u \ z))). K(x,K(y,z)) * x = T(x,K((u * u) \ z,y)). T(x,K((y * y) \ z,u)) = K(x,K(u,z)) * x. K(x,K(y / z,u)) != w | K(x,K(y * z,u)) = w. T(x,K(y,z * u)) = T(x,K(y,z \ u)). T(x,K(y,z \ u)) = T(x,K(y,z * u)). T(x,K(y,z \ u)) != w | T(x,K(y,z * u)) = w. T(x,K(y,z \ u)) = T(x,K(y,u * z)). T(x,K(y,z)) = T(x,K(y,u * (u * z))). T(x,K(y,z * (z * u))) = T(x,K(y,u)). T(T(x,y \ z),K(u,y * z)) != w | T(x,T(y \ z,u)) = w. T(x,K(y,z * u)) != w | T(x,K(y,u \ z)) = w. T(T(x,K(y,z * u)),y / (z \ u)) = T(x,(z \ u) \ y). T(T(x,K(y,z * (y * u))),y \ ((y \ z) \ u)) = T(x,((y \ z) \ u) / y). T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(z \ u) * y). T(T(x,K(y,z * u)),y * (z \ u)) != w | T(x,(z \ u) * y) = w. T(T(x,K(y,z * u)),y * (T(u,z) / z)) = T(x,(T(u,z) / z) * y). x \ T(y * T(x,K(z,u * w)),K(z,u \ w)) = T(y,K(u \ w,z) * x). T(x,K(y,z * u)) = T(x,K(y,u * z)). T(x,K(y,z)) = T(x,K(y,u * (u / z))). T(x,K(y,z * (z / u))) = T(x,K(y,u)). T(T(x,K(y,z * u)),y / (u \ z)) = T(x,(u \ z) \ y). T(T(x,K(y,z * u)),(u \ z) * y) = T(x,y * (u \ z)). T(T(x,K(y,z * u)),y * (u \ z)) = T(x,(u \ z) * y). T(x,K(y,z * (u \ z))) = T(x,K(y,u)). T(x,K(y,z * (u * u))) = T(x,K(y,z)). T(x,K(y * z,u)) = T(x,K(u,z * y)). T(T(x,K(y,z)),(u * (u / z)) \ y) = T(x,y / (u * (u / z))). T(T(x,K(y,z)),y / (u * (z \ u))) = T(x,(u * (z \ u)) \ y). T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. x != K(y,K(z,u)) * y | T(y,K(u,z)) = x. T(x,K(y,z)) = T(x,K((u * u) \ y,z)). T(x,K((y * y) \ z,u)) = T(x,K(z,u)). T(x,K(y \ (y \ z),u)) = T(x,K(z,u)). x \ T(y * T(x,K(z,u)),K((w * w) \ z,u)) = T(y,K(u,(w * w) \ z) * x). T(T(x,K(y,z)),(u \ (u \ y)) * z) != w | T(x,z * (u \ (u \ y))) = w. K(x,K(y,z / u)) != w | K(x,K(y,u * z)) = w. x != ((y * z) \ u) * y | K(z,y) * (((z * y) \ u) * y) = x. K(x,T(y * y,z)) * (((x * T(y * y,z)) \ u) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). T(x,y \ (y \ z)) = T(x,z) * K(y * y,x). T(x,y) * K(z * z,x) = T(x,z \ (z \ y)). L(x,T(y,z \ (z \ u)),w) = L(x,T(y,u),w). L(x,T(y,z \ u),w) = L(x,T(y,z * u),w). L(x,y,z \ u) = L(x,T(y,z * u),z \ u). L(x,T(y,z * u),z \ u) = L(x,y,z \ u). L(x,T(y,z),(z / u) \ u) = L(x,y,(z / u) \ u). K(x / ((y * y) * z),u) != w | K(y \ (y \ (x / z)),u) = w. (x * y) * K(z,L(T(u,y * x),w,v5)) = K(z,L(u,w,v5)) * (x * y). x != y * T(z,u) | T(z * K(y,z),u) * y = x. T(x * K(K(x * y,z),x),u) * K(x * y,z) = T(x,u) * K(y * x,z). T((x \ 1) \ 1,y) * z != u | (T(x,y) \ 1) \ L(z,x,x) = u. (T(x,y) \ 1) \ L(K(((x \ 1) \ 1) * z,u),x,x) = K(z * ((x \ 1) \ 1),u) * T((x \ 1) \ 1,y). ((x / y) * K(z,u)) * y = x * K(z,(y * (u * (y \ x))) / x). x * K(y,(z * (u * (z \ x))) / x) = ((x / z) * K(y,u)) * z. x != y * T(K(z,u),w) | y * K(z,T(u,w)) = x. x * K(y,T(z,u)) = K(y,K(z,u)) * (x * K(y,z)). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). K(x,y) * K(x,y) = K(x,T(y,z)) * K(x,T(y,z)). K(x,T(y,z)) * K(x,T(y,z)) = K(x,y) * K(x,y). x != K(K(y,z) * (u / y),w) | K(u / T(y,z),w) = x. K(x / T(y,z),u) = K(x / (y * K(z,y)),u). K(x / (y * K(z,y)),u) = K(x / T(y,z),u). K(x * (y \ K(y,z)),u) = K(x / T(y,z),u). K(x / (y / (y / z)),u) = K(x / T(z,z \ y),u). K(x / T(y,y \ z),u) = K(x / (z / (z / y)),u). K(x * (((y \ 1) * z) \ K((y \ 1) * z,y)),u) = K(x / ((y \ 1) * ((y \ z) * y)),u). K(x,y * (z \ K(z,u))) * a(w,v5,K(y / T(z,u),x)) = K(x,L(y * (z \ K(z,u)),v5,w)). K(x,K(y,z) \ (u / z)) != w | K(x,u / T(z,y)) = w. K(x,y / T(z,u)) = K(x,y / ((u * z) / u)). K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). x != K(y,z / u) | K(y,u \ T(z,u)) = x. K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). K(K(x,y * y) * T(z * x,y * y),u) = K(((y * y) \ z) * ((y * y) * x),u). K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * (y * (z / T(y,z)))). K(x,y * z) * K(x,K(y,z)) = K(x,z * y). K(x,K(y,z)) * K(x,z * y) = K(x,y * z). K(x,K(y,z)) * K(z,x * y) = K(z,y * x). K(x,y * (z * (u * (1 / w)))) * K(x,K(y,z * (u * (w \ 1)))) = K(x,(z * (u * (1 / w))) * y). K(x,y * z) * K(x,K(z,y)) = K(x,z * y). K(x,K(y,z)) * K(x,z * y) != u | K(x,y * z) = u. K(x,(y / z) * u) * K(x,K(u,z * y)) = K(x,u * (y / z)). K(x,K(y,z)) * K(z,y * x) = K(z,x * y). x * K(y,z) != K(u,w) | K(z,y) * K(u,w) = x. K(x * y,z) * K(z,y * x) = K(x,K(y,z)). K(x,K(y,z)) * K(z,x * T(y,u)) = K(z,T(y,u) * x). K(x,y * z) != u | K(x,z * y) * K(x,K(z,y)) = u. K(x,((y \ 1) * z) * u) * K(x,K(u,y \ z)) = K(x,u * ((y \ 1) * z)). x != K(y,z * (u \ T(w * K(u,w),v5))) | K(y,z * (T(w,v5) / u)) = x. K(x,y * (T(z,u) / w)) = K(y,K(w \ T(z * K(w,z),u),x)) * K(x,(w \ T(z * K(w,z),u)) * y). K(x,K(y \ T(z * K(y,z),u),w)) * K(w,(y \ T(z * K(y,z),u)) * x) = K(w,x * (T(z,u) / y)). K(x,y * z) != K(y,K(z,x)) * u | K(x,z * y) = u. K(x,K(y,z)) * u != K(z,x * y) | K(z,y * x) = u. T((x * y) / x,z * (x \ z)) != u | T(y,(x \ z) * (x \ z)) = u. T(x,(y \ T(z,u)) * (y \ T(z,u))) = T((y * x) / y,z * (y \ z)). T((x * y) / x,z * (x \ z)) = T(y,(x \ T(z,u)) * (x \ T(z,u))). x != K(y,K(z,u \ w)) | K(y,K(z,u * w)) = x. K(x,K(y,z * u)) = K(x,K(y * (z \ u),z * u)). K(x,K(y * (z \ u),z * u)) = K(x,K(y,z * u)). L(x,T(y / z,y),u) != w | L(x,z \ y,u) = w. L(x,y \ z,(z / u) \ u) = L(x,z / y,(z / u) \ u). L(x,y / z,(y / u) \ u) = L(x,z \ y,(y / u) \ u). K(x,L(y,1 / (z / u),(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,K(y * z,u * (y \ z))) = K(x,K(u,y * z)). K(x / T(y * y,z),u) = K(T(y * y,z) \ x,u). K(T(x \ 1,y) \ z,T(u,x)) != w | K(z / T(x \ 1,y),u) = w. K(x / ((1 / y) \ y),z) = K(T(y * y,y) \ x,z). K(T(x * x,x) \ y,z) = K(y / ((1 / x) \ x),z). K(T(x * y,x) \ z,u) != w | K((y * x) \ z,u) = w. K((x * x) \ y,z) = K(y / ((1 / x) \ x),z). K(x / ((1 / y) \ y),z) = K((y * y) \ x,z). K(x \ (x \ y),z) = K(y / ((1 / x) \ x),z). K(x / ((1 / y) \ y),z) = K(y \ (y \ x),z). K(x * (y \ (1 / y)),z) = K(y \ (y \ x),z). K((x \ y) * (z \ (1 / z)),u) != w | K(x \ ((z \ 1) * (z \ T(y,z * z))),u) = w. K(x \ ((y \ 1) * (y \ T(z,y * y))),u) = K(y \ (y \ (x \ z)),u). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(x * T(y * z,u),T(w,z * y)) != v5 | K(T(y * z,u) * x,w) = v5. L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). T(x * K(x * y,z),y) = T(x,y) * K(y * x,z). T(x * K(y,z),L(T(u,x),w,v5)) != v6 | T(x * K(y,z),L(u,w,v5)) = v6. T(x,(y \ z) * K(u,z)) != w | T(x,y \ T(z,u)) = w. K(L(x,y,z),u * T(w,v5)) = K(x,L(K(w,v5) * (u * w),y,z)). K(x,L(K(y,z) * (u * y),w,v5)) = K(L(x,w,v5),u * T(y,z)). K(x,K(y,z) * (u * z)) != w | K(x,u * T(z,y)) = w. K(x,K(y,z) \ (u * y)) != w | K(x,u * T(y,z)) = w. K((x \ y) * K(x,z),u) != w | K(T(x,z) \ y,u) = w. T(x,(y \ z) * K(y,K(u,w) * v5)) != v6 | T(x,T(y,v5 * K(u,w)) \ z) = v6. K(x,T(y,z) \ u) * K(x,K(u,y)) != w | K(x,u / T(y,z)) = w. T(K(x,y) / T(z,u),z) != w | T(z,u) \ K(x,y) = w. (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). K(x,y * K(z,z * u)) != w | K(x,y * K(u,z)) = w. K(x,y * z) * K(x,K(y,z)) != u | K(x,z * y) = u. K(x,a(y,z,K(u,w)) * (v5 * w)) != v6 | K(x,v5 * T(w,a(y,z,u))) = v6. K((a(x,y,z) \ u) * a(x,y,K(z,w)),v5) != v6 | K(T(a(x,y,z),w) \ u,v5) = v6. T(x,y) \ K(x,x \ z) = K(x,x * z) / T(x,y). K(x,x * y) / T(x,z) = T(x,z) \ K(x,x \ y). K(x,x * y) / T(x,y) != z | 1 / R(x,y,x) = z. 1 / R(x,y,x) = T(x,y) \ K(x,x \ y). T(x,y) \ K(x,x \ y) = 1 / R(x,y,x). T(x,y) \ K(x,x \ y) != z | (y / (T(y,x) / x)) \ 1 = z. (x / (T(x,y) / y)) \ 1 = 1 / R(y,x,y). x != 1 / R(y,z,y) | L(1 / y,z,y) = x. L(1 / x,y,x) = (y / (T(y,x) / x)) \ 1. (x / (T(x,y) / y)) \ 1 = L(1 / y,x,y). (x / (T(x,y) / y)) \ L(z,y,y) = L(1 / y,x,y) * z. K(x,(y / z) * u) * K(x,K(u,z * y)) != w | K(x,u * (y / z)) = w. K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,z \ u),w,v5)). K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). K(x,L(T(y,z * u),z \ u,z)) = K(x,u \ (z * (y * (z \ u)))). T(x / (x \ y),T(z,y)) = T(x / (x \ y),z). T(x / (x \ y),z / y) = T(x / (x \ y),y \ z). T(x / (x \ y),x / y) != z | x * (x / y) = z. x * (x / y) = T(x / (x \ y),y \ x). T(x / (x \ y),y \ x) = x * (x / y). x \ y != T(z / (z \ u),u \ z) | x * (z * (z / u)) = y. (x \ y) * (y * (y / x)) = (y / (y \ x)) * (x \ y). (x / (x \ y)) * (y \ x) = (y \ x) * (x * (x / y)). K(x,y \ (z * T(u / (u \ w),(u / (u \ w)) * (w \ u)))) = K(x,y \ (z * (u * (u / w)))). 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,K(K(y,z),u) * w) != v5 | T(x,w) = v5. T(x,y * K(z,K(u,w))) = T(x,y). T(x,y / T(z,K(u,w))) = T(x,y / z). T(x,K(y,K(z,u)) * w) = T(x,w). T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. T(x,y * T(z,K(u,w))) = T(x,y * z). T(x,K(y,K(z,u)) \ w) = T(x,w). T(x,T(y,K(z,u)) \ w) = T(x,y \ w). T(x,y * z) = T(x,y * (K(u,K(w,v5)) * z)). T(x,y * (K(z,K(u,w)) * v5)) = T(x,y * v5). x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). x / T(x,y) = K(K(z,K(u,w)) * y,x). K(K(x,K(y,z)) * u,w) = w / T(w,u). T(x,y * (z * T(u,K(w,v5)))) = T(x,y * (z * u)). T(x,K(T(y,z),u)) = T(x,K(y,u)). T(x,K(y,T(z,u))) = T(x,K(y,z)). T(x,K(y,z \ u)) = T(x,K(y,u / z)). T(x,K(y,z / u)) = T(x,K(y,u \ z)). T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). T(x,K(y,K(z,u)) * w) != v5 | T(x,w) = v5. T(x,K(y,T(z,u))) = T(x,K(z,y)). x * K(y,T(z,u)) = T(K(y,T(z,u)) * x,K(z,y)). T(K(x,T(y,z)) * u,K(y,x)) = u * K(x,T(y,z)). T(T(x,T(y,z)),K(T(y,z),u)) != w | T(x,T(T(y,u),z)) = w. T(x,T(T(y,z),u)) = T(T(x,T(y,u)),K(y,z)). T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,u),z)). T(x,K(y,z \ u)) = T(x,K(y,(z / u) \ 1)). T(x,K(y,(z / u) \ 1)) = T(x,K(y,z \ u)). T(T(x,K(y,z)),T(z,u) \ y) = T(x,y / T(z,u)). T(x,K(y,z \ u)) = T(x,K(u / z,y)). T(x,K(y / z,u)) = T(x,K(u,z \ y)). T(x,y / T(z,T(u,w))) = T(x,y / T(z,u)). T(x,y / T(z,u \ w)) = T(x,y / T(z,w / u)). T(x,y / T(z,u / w)) = T(x,y / T(z,w \ u)). T(x,(y * z) * T(u,K(z,y))) != w | T(x,T(u,z * y) * (y * z)) = w. T(x,T(y,z * u) * (u * z)) = T(x,(u * z) * y). T(x,y * (K(z,u) * (w * z))) = T(x,y * (w * T(z,u))). T(x,y * ((z \ u) * K(w,z))) = T(x,y * (T(z,w) \ u)). 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,K(z,u)) \ w) = K(x,w). K(x,y * K(z,K(u,w))) = K(x,y). 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,T(y,K(z,u)) / w) = K(x,y / w). K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). K(x,y / T(z,K(u,w))) = K(x,y / z). K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). K(x,y * (z * K(u,w))) = K(x,y * (K(u,w) * z)). K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). K(x,y * (z * T(u,K(w,v5)))) = K(x,y * (z * u)). K(x,y) = K(K(z,K(u,w)) * x,y). K(K(x,K(y,z)) * u,w) = K(u,w). K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. K(x * T(y,K(z,u)),w) = K(x * y,w). K(x * K(y,K(z,u)),w) = K(x,w). K(K(x,y) * (z * (x * y)),u) != w | K(z * (y * x),u) = w. K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). K(K(x,y) * (z / x),u) != w | K(z / T(x,y),u) = w. K(x / T(y,K(z,u)),w) = K(x / y,w). K(T(x,K(y,z)) / u,w) = K(x / u,w). K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). K(x * K(y,T(z,u)),w) = K(x * K(y,z),w). T(x * K(y,K(z,u)),w) = K(x,w) * (x * K(y,K(z,u))). K(x,y) * (x * K(z,K(u,w))) = T(x * K(z,K(u,w)),y). x != T(y,K(z,u \ w)) | T(y,K(z,u * w)) = x. 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,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. x * y != T(z,K(u,w \ v5)) | x \ T(z,K(v5 / w,u)) = y. x \ T(y * T(x,K(z,u \ w)),K(w / u,z)) = T(y,K(z,u \ w) * x). K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). K(x,T(y,T(z,u)) \ w) = K(x,T(y,z) \ w). L(K(x,y \ z),u,w) = K(x,L(T(y,K(v5,v6)) \ z,u,w)). K(x,L(T(y,K(z,u)) \ w,v5,v6)) = L(K(x,y \ w),v5,v6). K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. L(K(x,y / z),u,w) = K(x,L(T(y,K(v5,v6)) / z,u,w)). K(x,L(T(y,K(z,u)) / w,v5,v6)) = L(K(x,y / w),v5,v6). 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 / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. K(x * T(y,T(z,u)),w) = K(x * T(y,z),w). x != K(((y \ z) * y) / (u * y),w) | K((y * u) \ z,T(w,u)) = x. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). K(T(x,y \ z) / u,w) = K(T(x,z / y) / u,w). K(T(x,y / z) / u,w) = K(T(x,z \ y) / u,w). T(x,T(y / z,u)) = T(T(x,y / z),K(u,z * y)). T(T(x,y / z),K(u,z * y)) = T(x,T(y / z,u)). T(T(x,y / z),K(u,z * y)) != w | T(x,T(y / z,u)) = w. T(T(x,K(y,z * u)),(u / z) * y) = T(x,y * (u / z)). T(T(x,K(y,z * u)),(u / z) * y) != w | T(x,y * (u / z)) = w. T(x,(y * K(z,u)) \ w) != v5 | T(x,(K(z,u) * y) \ w) = v5. T(x,y * T(z,K(u,w))) != v5 | T(x,y * z) = v5. T(x,y \ T(z,K(u,w))) != v5 | T(x,y \ z) = v5. T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. T(x,(K(y,z) * u) \ w) != v5 | T(x,(u * K(y,z)) \ w) = v5. T(x,(T(y,K(z,u)) * w) * v5) != v6 | T(x,(y * w) * v5) = v6. K(x,K(K(y,z),u) * w) != v5 | K(x,w) = v5. K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. K(x,T(y,K(z,u)) * w) != v5 | K(x,y * w) = v5. K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. K(x,T(y,T(z,u)) * w) != v5 | K(x,T(y,z) * w) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. K(x * K(y,T(z,u)),w) != v5 | K(x * K(y,z),w) = v5. 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 * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. T(x,y * (K(z,T(u,w)) * v5)) = T(x,y * (K(z,u) * v5)). T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). x != T(y,K(z,u) * w) | T(y,K(u,z) * w) = x. T(x,K(y,z) * u) = T(x,K(z,T(y,w)) * u). T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). x != T(y,K(z,u) * (z \ w)) | T(y,T(z,u) \ w) = x. T(x,T(y,z) \ u) = T(x,K(y,T(z,w)) * (y \ u)). T(x,K(y,T(z,u)) * (y \ w)) = T(x,T(y,z) \ w). T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. T(T(x,K(y,z)),T(y,u)) = T(x,T(T(y,z),u)). T(x,K(y,(z / x) \ 1)) != u | (z * T(z \ x,y)) / K((z / x) \ 1,y) = u. (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). T(x,y \ T(z,u)) = T(x,T(z,u) / T(y,z)). T(x,T(y,z) / T(u,y)) = T(x,u \ T(y,z)). K(x,K(y,T(z,u)) * w) != v5 | K(x,K(z,y) * w) = v5. K(x,y * K(z * u,w)) = K(x,y * K(u * z,w)). x != K(K(y,z) * u,w) | K(u * K(z,y),w) = x. K(x * K(y,z),u) = K(K(z,T(y,w)) * x,u). K(K(x,T(y,z)) * u,w) = K(u * K(y,x),w). K(K(x,y \ z) * u,w) = K(K(x,z / y) * u,w). K(K(x,y / z) * u,w) = K(K(x,z \ y) * u,w). K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. K(x * K(x \ y,x),z) * (x * T(x \ y,u)) = (x * T(x \ y,u)) * K(x,z). K(x,L(y * T(z,T(u,w)),v5,v6)) = K(L(x,v5,v6),y * T(z,u)). K(x,T(T(y,z) * u,y) \ w) != v5 | K(x,(u * T(y,z)) \ w) = v5. T(x,T(T(y,z),u) \ w) = T(x,K(y,u) * (T(y,z) \ w)). T(x,K(y,z) * (T(y,u) \ w)) = T(x,T(T(y,u),z) \ w). T(T(x,T(T(y,z),u)),w \ (w \ 1)) = T(T(x,K(y,z)),w \ (w \ T(y,u))). T(T(x,K(y,z)),T(u \ (u \ y),w)) = T(x,T(T(u \ (u \ y),z),w)). T(x,y * ((z \ u) * K(w,z))) != v5 | T(x,y * (T(z,w) \ u)) = v5. T(x,y * (K(z,u) / w)) != v5 | T(x,y * (w \ K(z,u))) = v5. T(x,y \ (K(z,u) * (w * z))) != v5 | T(x,y \ (w * T(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(w,z))) != v5 | K(x,y * (T(z,w) \ u)) = v5. K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. K(x,(y * (z * K(y,u))) * w) != v5 | K(x,(T(y,u) * z) * w) = v5. K(x,(y \ K(z,u)) * w) != v5 | K(x,(K(z,u) / y) * w) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. K(x / (y * K(z,u)),w) != v5 | K(x / (K(u,z) \ y),w) = v5. T(x,y * (z * (u * (w * K(u,v5))))) = T(x,y * (z * (T(u,v5) * w))). T(x,K(y,z)) = (K(y,T(z,u)) * x) * K(z,T(y,u)). (K(x,T(y,z)) * u) * K(y,T(x,z)) = T(u,K(x,y)). T(T(x,K(y,(z \ 1) * u)),(z * (u * (z \ (1 / z)))) \ y) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(x,T(y,z * (u * z)) * (z * (z * u))) = T(x,(z * (z * u)) * y). K(x,y * (z * T(u,w \ v5))) = K(x,y * (z * T(u,v5 / w))). K(x,y * (z * T(u,w / v5))) = K(x,y * (z * T(u,v5 \ w))). K((K(x,y) * (z / y)) \ u,w) = K((z / T(y,x)) \ u,w). T(T(x,y / T(z * u,z)),K(w,(u * z) * y)) = T(x,T(y / T(z * u,z),w)). K(x,y * K(z * u,w)) != v5 | K(x,K(u * z,w) * y) = v5. T(x,K(y,z) * u) != w | T(x,K(y,T(z,v5)) * u) = w. K(x,T(T(y,z) * u,y) * w) = K(x,(u * T(y,z)) * w). K(x,T(y,z * u) * w) != v5 | K(x,T(y,u * z) * w) = v5. K(x,y * K(z * u,w)) != v5 | K(x,y * K(u * z,w)) = v5. K(x * K(y,z \ u),w) != v5 | K(x * K(y,u / z),w) = v5. K(x * (T(y,K(z,u)) * w),v5) != v6 | K(x * (y * w),v5) = v6. K(x,K(y,z * u)) * K(x,y / T(u / z,w)) = K(x,T(u / z,w) \ y). x != K(y,z \ T(u,w)) | K(y,z \ ((w * u) / w)) = x. K(x,y \ ((z * u) / z)) = K(x,K(u,y)) * K(x,T(u,z) / y). x != K(y,z \ T(u,w)) | K(y,z \ ((w \ u) * w)) = x. K(x,y \ ((z \ u) * z)) = K(x,K(u,y)) * K(x,T(u,z) / y). 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)). x != K(y,K(z,1 / z) / u) | K(y,1 / u) = x. K(x,1 / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). K(x,y * T(z \ u,z)) = K(x,y * (u / z)). K(x,K(y \ z,y) \ u) != w | K(x,K(z,y) \ u) = w. K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). K(x,y * T(z,u)) = K(x,y * (u * (z / u))). K(x,y * (z * (u / z))) = K(x,y * T(u,z)). K(x,y * (z * (u / z))) != w | K(x,y * T(u,z)) = w. L(K(x,y),z,u) \ K(x,y) != w | a(K(y,x),z,u) = w. a(K(x,y),z,u) = K(x,y) \ K(L(x,z,u),y). K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). K(T(K(x,y) * z,u) * T(w,z * K(z * K(y,x),u)),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K(x,T(y \ ((z * z) * u),y)) = K(x,u / ((z * z) \ y)). T(T(x,K(y,z)),y / ((z / u) \ u)) = T(x,((z / u) \ u) \ y). T(T(x,K(y,z)),y / ((u \ z) \ u)) = T(x,((u \ z) \ u) \ y). T(T(x,K(y,z)),(u \ (z / u)) * y) = T(x,y * (u \ (z / u))). K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. K(x,K(y,z)) * K(z,x * T(y,u * (w * u))) = K(z,T(y,(u * w) * u) * x). T(x,y * (K(z / u,u) * (w * (z / u)))) = T(x,y * (w * (u \ z))). T(x,T(y,z) * (z \ u)) = T(x,y * (T(z,y) \ u)). T(x,y * (T(z,y) \ u)) != w | T(x,T(y,z) * (z \ u)) = w. T(x,T((y \ z) \ 1,u) * (u \ w)) = T(x,((y \ z) \ 1) * (T(u,z \ y) \ w)). T(x,T(y \ 1,y \ z) * (y \ (z * (z \ u)))) = T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,T(y \ 1,y \ z) * (y \ (z * (z \ u)))). T(x,T(y,(z \ u) * (z \ u)) * ((u / z) \ w)) = T(x,(y * K(z / u,y)) * (T(u / z,y * K(z / u,y)) \ w)). T(x,(y * K(z / u,y)) * (T(u / z,y * K(z / u,y)) \ w)) = T(x,T(y,(z \ u) * (z \ u)) * ((u / z) \ w)). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). K(x,T(y,z)) * K(u,K(w,v5)) = T(K(x,y) * K(u,K(w,v5)),z). T(K(x,y) * K(z,K(u,w)),v5) = K(x,T(y,v5)) * K(z,K(u,w)). T(K(x,L(y,z,u)) * K(w,K(v5,v6)),v7) = K(x,L(T(y,v7),z,u)) * K(w,K(v5,v6)). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). K(x,L(T(y,K(z,u)) \ w,v5,v6)) != v7 | K(x,L(y \ w,v5,v6)) = v7. K(x,L(y / z,u,w)) = K(x,L(T(y,K(v5,v6)) / z,u,w)). K(x,L(T(y,K(z,u)) / w,v5,v6)) = K(x,L(y / w,v5,v6)). K(x,L(T(y,K(z,u)) / w,v5,v6)) != v7 | K(x,L(y / w,v5,v6)) = v7. T(x,y * (K(z,T(u,w)) * (u \ v5))) = T(x,y * (T(u,z) \ v5)). T(T(x,K(y,z * K(u,T(w,v5)))),(z * K(u,T(w,v5))) * y) = T(x,y * (z * K(u,w))). T(x,K(y,z) * (T(z * y,u) \ w)) = T(x,T(T(z * y,u),z) \ w). K((T(x,y) / y) \ z,u) = K((x / T(y,x)) \ z,u). x != K(y,L(T(z,u \ w),v5,v6)) | K(y,L(T(z,u * w),v5,v6)) = x. K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,u / z),w,v5)). K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). K(x,((y * y) * z) / u) = K(x,z / ((y * y) \ u)). x != K(y,z / ((u * u) \ w)) | K(y,z * (w \ (u * u))) = x. K(x,y * (z \ (u * u))) = K(x,((u * u) * y) / z). K(x,((y * y) * z) / u) = K(x,z * (u \ (y * y))). K(x,((y * y) * z) * (u \ 1)) = K(x,z * (u \ (y * y))). K(x,L(T(y,T(z,u)) / w,v5,v6)) = K(x,L(T(y,z) / w,v5,v6)). K(x,L(y / ((z / u) \ 1),w,v5)) = K(x,L(T(((z / u) \ 1) \ y,z * u),w,v5)). K(x,L(T(((y / z) \ 1) \ u,y * z),w,v5)) = K(x,L(u / ((y / z) \ 1),w,v5)). K(x,L(T((y / z) \ u,z * y),w,v5)) != v6 | K(x,L(u / (y / z),w,v5)) = v6. K(x,(y * y) * (z * (u \ 1))) = K(x,z * (u \ (y * y))). K(x,y * (y * (z * (u \ 1)))) = K(x,z * (u \ (y * y))). K(x,y * (y * (z * (u \ 1)))) != w | K(x,(y * ((y \ 1) \ z)) / u) = w. K(x,(y * ((y \ 1) \ z)) / u) = K(x,z * (u \ (y * y))). 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,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). x \ y != K(z,u / (w * K(v5,v6))) | x * K(z,u * (w \ K(v6,v5))) = y. x * K(x,y * (z \ K(u,w))) = T(x,y / (z * K(w,u))). K(x,y / (z * (u * K(w,u)))) = K(x,y * ((z * u) \ K(u,w))). K(x,y / (z / T(u,w))) = K(x,y * ((z / u) \ K(u,w))). K(x,y * ((z / u) \ K(u,w))) = K(x,y / (z / T(u,w))). K(x,y / (z * T(u,w))) = K(x,y * ((z * u) \ K(w,u))). K(x,y * ((z * u) \ K(w,u))) = K(x,y / (z * T(u,w))). T(x,y * (z \ K(u,w))) = T(x,y / (z * K(w,u))). T(x,y / (z * K(u,w))) = T(x,y * (z \ K(w,u))). T(x,y / (z * K(u,w))) != v5 | T(x,y * (z \ K(w,u))) = v5. T(x,(y * K(z,u)) \ w) = T(x,(y \ K(u,z)) * w). K(x * (T(T(y,K(z,u)),w) * v5),v6) != v7 | K(x * (T(y,w) * v5),v6) = v7. 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))). K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). x / T(x,K(K(y,z) * u,w) * v5) = K(v5 * K(w,K(z,y) * u),x). x / T(x,y * K(z,K(u,w) * v5)) = K(K(K(w,u) * v5,z) * y,x). x != K(y,z) * T(T(u,u \ 1),w) | (T(u,w) \ K(z,y)) \ 1 = x. (T(x,y) \ K(z,u * x)) \ 1 = T(T(x,x \ 1),y) * K(x * u,z). T(T(x,x \ 1),y) * K(x * z,u) = (T(x,y) \ K(u,z * x)) \ 1. x != K(y,(z \ u) \ w) | K(y,T(u / z,u) \ w) = x. K(x,T(y / z,y) \ u) = K(x,K(u,z * y)) * K(x,u / (z \ y)). K(x,K(y,z * u)) * K(x,y / (z \ u)) = K(x,T(u / z,u) \ y). T(T(x,K(y,z)),(u * (u / y)) \ z) = T(x,z / (u * (u / y))). x != K(L(y,z,u),w) | K(y,L(w,z,u)) = x. K(x,L(y * T(z,u),w,v5)) = K(x,L(K(z,u) * (y * z),w,v5)). K(x,L(K(y,z) * (u * y),w,v5)) = K(x,L(u * T(y,z),w,v5)). x * y != T(x,K(z,u)) | K(u,K(z,x)) = y. K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). K(x,K(y,z)) = K(x,K(y,L(y,u,w) * z)). K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). K(x,K(y,(z \ u) * z)) != w | K(x,K(u,y)) = w. K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). K(x,L(y * T(z,T(u,w)),v5,v6)) != v7 | K(x,L(y * T(z,u),v5,v6)) = v7. T(T(x,K(y,z)),(u \ (y / u)) * z) = T(x,z * (u \ (y / u))). T(K(x,y) * K(z,K(u,w)),v5) != v6 | K(z,K(u,w)) * K(x,T(y,v5)) = v6. T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). T(x,y * (T(z,T(u,w)) \ v5)) = T(x,y * (T(z,u) \ v5)). T(x,y * (T(z,u * w) \ v5)) = T(x,y * (T(z,w * u) \ v5)). T(T(x,K(y,K(z,z \ (y / z)) * u)),((y / z) / z) * u) = T(x,(K(z,z \ (y / z)) * u) * (z \ (y / z))). x * R(K(y,K(z,u)),w,w \ x) = (K(u,K(y,z)) * w) * (w \ x). T(x,K(y,L((z / u) / w,w,u))) != x * v5 | K(x,K(y,(w * u) \ z)) = v5. K(K(x,x \ y) * (z * y),u) = K(z * T(y,x),u). K(K(x,x \ y) * (z * y),u) != w | K(z * ((x \ y) * x),u) = w. K(x * ((y \ z) * y),u) = K(x * T(z,y),u). K(x * T((y \ z) * y,u),w) = K(x * T(T(z,u),y),w). ((x * y) / x) / ((x * (y * K(z * T(u,w),y))) / x) = K(y,T(z * ((w \ u) * w),x)). K(x,T(y * ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y * T(u,z),x))) / w). K(x,L(T(y,z * u),u,z)) = K(x,u \ (z * (y * (z \ u)))). K(x,y \ (z * (u * (z \ y)))) = K(x,L(T(u,z * y),y,z)). T(T(x,K(y,z)),((u * u) / z) * y) != w | T(x,y * ((u * u) / z)) = w. K(x,K(y,z) * T(u * y,w)) != v5 | K(x,K(w,u * y) * (u * T(y,z))) = v5. K(x,y * (T(z,u) * w)) = K(x,y * (z * (w * K(u,z)))). K(x,y * (z * (u * K(w,z)))) = K(x,y * (T(z,w) * u)). K(x,y * (z * (u * K(w,z)))) != v5 | K(x,y * (T(z,w) * u)) = v5. K(x,y * (z * (u / T(z,w)))) = K(x,y * (T(z,w) * (u / z))). K(x,y * (T(z,u) * (w / z))) = K(x,y * (z * (w / T(z,u)))). K(x,(T(y,z) * T(z,u)) * w) != v5 | K(x,(T(z,u) * y) * w) = v5. K(x,L(T(y,T(z,u)) \ w,v5,v6)) != v7 | K(x,L(T(y,z) \ w,v5,v6)) = v7. x * K(y,K(z,R(u,w,w \ x))) = (K(z,K(u,y)) * w) * (w \ x). K(x,y) * K(y,K(z,u)) = (K(z,K(u,y)) * w) * (w \ K(x,y)). (K(x,K(y,z)) * u) * (u \ K(w,z)) = K(w,z) * K(z,K(x,y)). x != K(y,z) * K(z,K(u,y)) | T(K(y,z),u) = x. T(K(x,y),z) = (K(z,K(x,y)) * u) * (u \ K(x,y)). (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). x * y != T(K(z,u),w) | K(z,T(u,w)) / y = x. K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. K(x,T(y,z)) / u = K(x,K(y,z)) * (K(x,y) / u). K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. T(K(x,y) / z,K(x,K(y,u))) = (K(x,T(y,u)) / z) * K(x,K(y,u)). (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). (T(x,K(y,z)) / (K(y,z) \ 1)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). T(x,y) \ (x * (K(y * x,z) * y)) = L(T(K(x * y,z) * y,x),x,K(x,y)). L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). K(x,K(y,z)) * K(x,T(y,u) / z) = K(x,z \ ((y \ u) \ u)). K(x,y \ ((z \ u) \ u)) = K(x,K(z,y)) * K(x,T(z,u) / y). T(K(x,y) * z,z) = z * K(x,y). x \ y != T(K(z,u) * w,w) | x * (w * K(z,u)) = y. x * (x * K(y,z)) = (K(y,z) * x) * x. (K(x,y) * z) * z = z * (z * K(x,y)). T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). K(x,y) * (z * z) = z * (z * K(x,y)). T(x \ 1,y) \ x = x * (x * K(y,x \ 1)). x * (x * K(y,x \ 1)) = T(x \ 1,y) \ x. x * (T(y \ 1,z) \ y) = (x * y) / T(1 / y,z). (x * y) / T(1 / y,z) = x * (T(y \ 1,z) \ y). K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). (x * y) / T(y \ 1,z) = x * (T(y \ 1,y \ (y \ z)) \ y). x * (T(y \ 1,y \ (y \ z)) \ y) = (x * y) / T(y \ 1,z). x * (T(1 / y,z) \ y) = (x * y) / T(y \ 1,z). (x * y) / T(y \ 1,z) = x * (T(1 / y,z) \ y). (x * y) / T(y \ 1,y \ x) != z | T(x * y,y \ 1) / (1 / y) = z. T(x * y,y \ 1) / (1 / y) = x * (T(1 / y,y \ x) \ y). T(x * y,y \ 1) / (1 / y) = x * (T(y \ 1,y * x) \ y). T(x * (y \ 1),y) / (1 / (y \ 1)) = x * (T((y \ 1) \ 1,(y \ 1) * x) \ (y \ 1)). x * (T((y \ 1) \ 1,(y \ 1) * x) \ (y \ 1)) = T(x * (y \ 1),y) / (1 / (y \ 1)). T(x,(y * (T(z \ 1,z * y) \ z)) \ 1) = T(x,(1 / z) / T(y * z,z \ 1)). T(x,K(y,z) * (u * (w \ (w \ 1)))) = T(x,u * (w \ (w \ K(y,z)))). T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. K(x,K(y,z)) * u != K(x,z \ ((w \ y) * w)) | K(x,T(y,w) / z) = u. K(x,T(y,z) / u) = K(x,((z \ y) * z) / u). K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). K(x,(y * z) / u) = K(x,T(z * y,z) / u). K(x,T(y * z,y) / u) = K(x,(z * y) / u). (x * K(y,(z * u) / w)) \ x = K(T(u * z,u) / w,y). K(T(x * y,x) / z,u) = (w * K(u,(y * x) / z)) \ w. K((x * y) / z,u) = K(T(y * x,y) / z,u). K(T(x * y,x) / z,u) = K((y * x) / z,u). K(x \ T(y * z,y),u) = K((z * y) / x,T(u,z * y)). K((x * y) / z,T(u,x * y)) = K(z \ T(y * x,y),u). K(T(x,y) / z,u) = K(((y \ x) * y) / z,u). K(((x \ y) * x) / z,u) = K(T(y,x) / z,u). K((x * y) \ z,T(u,y)) = K(T(z,x) / (y * x),u). K(x \ (y * z),u) = K(x \ T(z * y,z),u). K(x \ T(y * z,y),u) = K(x \ (z * y),u). K(x \ T(y,z),u) = K(x \ ((z \ y) * z),u). K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). K(x,L(((y \ 1) \ z) / y,u,w)) = K(x,L((y \ z) * y,u,w)). K(x,L((y \ z) * y,u,w)) != v5 | K(x,L(((1 / y) \ z) / y,u,w)) = v5. K(x,(y * ((y \ 1) \ z)) / (y * u)) != w | K(x,z / ((y \ 1) * u)) = w. K((x * y) \ z,T(u,y)) != w | K((x * y) \ z,T(u,x * z)) = w. K(x,K(y,z)) * K(z,x \ (u * (u * y))) = K(z,(u * (u * y)) / x). K(x,K(y,z)) * K(z,(u \ (u \ x)) \ y) = K(z,y / (u \ (u \ x))). T(T(x,K(y,z * u)),y * (z \ u)) = T(x,(T(u,z) / z) * y). 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) != w | T(x,(z \ y) * u) = w. T(x,((y \ z) / y) * u) = T(x,(y \ (z / y)) * u). x != K(y,L(z,u,w)) * (u * w) | (K(y,z) * u) * w = x. (K(x,y) * z) * u = (z * u) * K(x,L(T(y,u * z),z,u)). (x * y) * K(z,L(T(u,y * x),x,y)) = (K(z,u) * x) * y. x * y != (z * x) * K(u,L(T(w,x * z),z,x)) | T(K(u,w) * z,x) = y. T(K(x,y) * z,u) = T(z,u) * K(x,T(y,u * z)). T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). T(x,y) * K(z,u * u) = T(K(z,u * u) * x,y). T(K(x,y * y) * z,u) = T(z,u) * K(x,y * y). K(x,y * y) * T(z,u) = T(K(x,y * y) * z,u). T(K(x,y * y) * z,u) = K(x,y * y) * T(z,u). x * T(K(y,z * z) * T(u,x),w) = T(u,w) * (x * K(y,z * z)). T(x,(y \ z) * (y \ z)) = T(x,(y \ T(z,u)) * (y \ T(z,u))). T(x,(y \ T(z,u)) * (y \ T(z,u))) = T(x,(y \ z) * (y \ z)). T(x,((y \ 1) \ 1) * (z \ ((u \ 1) \ 1))) != w | T(x,y * (z \ u)) = w. T((x * y) / x,z * (x \ z)) = T(y,(x \ T((z \ 1) \ 1,u)) * (x \ T((z \ 1) \ 1,u))). K(x \ T((y \ 1) * (y \ z),y * y),u) = K(y \ (y \ (x \ z)),u). x != T(y,K(z,u \ y)) / u | T(y / u,K(y,z)) = x. T(x / y,K(x,z)) = T(x / y,K(((x / y) \ (1 / y)) \ 1,z)). T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). K((x * L(K(y,z),u,w)) \ v5,v6) = K(((x \ v5) * x) / T(L(K(y,z),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). T(x,(y \ z) * (u * (z / y))) = T(x,(z / y) * (u * (y \ z))). T(x,(y / z) * (u * (z \ y))) = T(x,(z \ y) * (u * (y / z))). T(x,K(y,z) * (T(y * z,u) \ w)) = T(x,T(T(y * z,u),y) \ w). T(T(x,x \ 1),y) * K(x * y,z) != u | y \ T(T(x,x \ 1) * y,z) = u. x \ T(T(y,y \ 1) * x,z) = (T(y,x) \ K(z,x * y)) \ 1. (T(x,y) \ K(z,y * x)) \ 1 = y \ T(T(x,x \ 1) * y,z). (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). K(x,(y * z) / y) = K(x,T(z,K(u,w) * y)). K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). x != K(y,(z * u) / z) | K(y,T(u,z)) = x. K(x,T(y,z)) = K(x,T(y,K(u,w) * z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,z)) = K(x,T(y,z \ K(u,w))). K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). T(K(x,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,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. K(x,T(y,z)) * K(y,x) = K(x,K(y,K(u,w) * z)). K(x,K(y,K(z,u) * w)) = K(x,T(y,w)) * K(y,x). K(x,T(y,z * u)) = K(x,T(y,z * (K(w,v5) * u))). K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). K((x \ K(y,z)) * u,T(w,x)) != v5 | K(u * (x \ K(y,z)),w) = v5. K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). K((x * K(y,z)) * u,w) = K(u * (x * K(y,z)),T(w,x)). K(x * (y * K(z,u)),T(w,y)) = K((y * K(z,u)) * x,w). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. (K(x,y) * z) \ (z * (x \ R(x,y,x))) = K(x * y,T(x,z)). K(x,T(y,z * L(T(u,w),v5,v6))) = K(x,T(y,z * L(u,v5,v6))). K(x,T(y,z * T(u,w))) != v5 | K(x,T(y,u * z)) = v5. K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,T(z,u) * w)) != v5 | K(x,T(y,z * w)) = v5. x != K(y,T(z,u)) * K(z,y) | 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 * T(u,w))) = K(x,K(y,z * u)). K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). K(x,K(y,z * u)) = K(x,K(y,((w * z) / w) * u)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z * (K(w,v5) * u))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,z)) * K(x,(K(u,w) * z) * y) = K(x,y * (K(u,w) * z)). K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). x \ y != K(z,K(u,w * K(v5,v6))) | x * K(z,K(u,w)) = y. x * K(x,K(y,z)) = T(x,K(y,z * K(u,w))). T(x,K(y,z * K(u,w))) = x * K(x,K(y,z)). K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). K(x,K(y,z * u)) = K(x,K(y,(z * K(w,v5)) * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,K(y,z)) = K(x,K(z,K(u,w) / y)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,z)) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). x != K(y,K(z,u)) | K(y,K(z * K(w,v5),u)) = x. K(x,K(y * K(z,u),w)) = K(x,K(K(v5,v6) / y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). x != K(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)). K(x,K(y,z * u)) * K(x,y / (z * T(u,w))) = K(x,(z * T(u,w)) \ y). K(x,K(y,z * u)) * K(x,y / (z * ((u \ w) \ w))) = K(x,(z * ((u \ w) \ w)) \ y). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. K(x,K(y,z * u)) * K(x,y \ (T(z,w) * u)) = K(x,(T(z,w) * u) / y). K(x,K(y,T(z,u) * w)) != v5 | K(x,K(y,z \ w)) = v5. K(x,(y / T(z,u)) * w) * K(x,K(w,z * y)) = K(x,w * (y / T(z,u))). 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,K(z,u) \ w)) = T(x,K(y,w)). T(x,K(y,z * T(u,w))) = T(x,K(y,z * u)). T(x,K(y,z * u)) = T(x,K(y,T(z,w) * u)). T(x,K(y,T(z,u) * w)) = T(x,K(y,z * w)). T(x,K(y,((z \ u) \ u) * w)) = T(x,K(y,z * w)). 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)),y * (z \ K(u,w))) = T(x,(z \ K(u,w)) * y). T(T(x,K(y,z)),(K(u,w) / z) * y) = T(x,y * (K(u,w) / z)). T(T(x,K(y,z)),(K(u,w) * z) / y) = T(x,y \ (K(u,w) * z)). x != T(y,K(z,u)) | K(z,K(u,y)) \ y = x. K(x,K(y,z)) \ z = T(z,K(x,K(u,w) \ y)). T(x,K(y,K(z,u) \ w)) = K(y,K(w,x)) \ x. K(x,K(T(y,z) / u,L(w,u,z))) != v5 | K(x,K(w,(y * z) / (z * u))) = v5. K(x,K(y,(z * u) / (u * w))) = K(x,K(z / w,L(y,w,u))). K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). K(x,K(y,z * (u \ w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) * w)) = K(x,K(y,w * (u \ z))). K(x,K(y,z * u)) != w | K(x,K(y,T(z,v5) * u)) = w. T(x,T(y \ T(z,u),w)) = T(T(x,y \ T(z,u)),K(w,y * z)). T(T(x,y \ T(z,u)),K(w,y * z)) = T(x,T(y \ T(z,u),w)). T(T(x,K(y,z * u)),y / (u \ T(z,w))) = T(x,(u \ T(z,w)) \ y). T(x,K(y,K(z,u) \ w)) = K(w,K(y,x)) \ x. K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). K(x,K(y,z)) \ (x * K(u,w)) = T(x * K(u,w),K(y,z)). K(x,T(y,z * ((u / w) \ v5))) = K(x,T(y,z * ((w \ u) \ v5))). K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). K(x,K(y,z * u)) = K(x,K(y,u * (K(w,v5) * z))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,v5 * z)). K(x,K(y,z * (u \ w))) * K(y,x / (z * (w / u))) = K(y,(z * (w / u)) \ x). 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) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). K(x,K(y / z,L(u,y,w))) != v5 | K(x,K(u,L(y / z,z,w))) = v5. K(x,K(y,L(K(z,u) / w,w,v5))) = K(x,K(w * K(v6,v7),L(y,K(z,u),v5))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). T(T(x,K(y,z * u)),y / (u \ ((z \ w) \ w))) = T(x,(u \ ((z \ w) \ w)) \ y). K(x,K(y / z,(u / w) * v5)) = K(x,K((z / y) \ 1,v5 * (w \ u))). K(x,K((y / z) \ 1,u * (w \ v5))) = K(x,K(z / y,(v5 / w) * u)). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,((w \ u) / v5) * z)). K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). K(x,K(y,z * (K(u,w) * v5))) != v6 | K(x,K(y,z * v5)) = v6. x != K(y,K(z,u / w)) | K(y,K(z,w / u)) = x. K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. x != K(y,K(z,(u * (w * v5)) / (u * v5))) | 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,a(z,u,u \ w))) = K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. K(x,T(y,z)) / (z * K(u,w)) = (K(w,u) / z) * K(x,y). 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). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). x != K(y,K(z,L(u,w,v5))) | K(y,K(u,L(z,w,v5))) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,L(K(v5,v6) / z,u,w))). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). x != K(y,K(z,(1 / u) * w)) | K(y,K(z,w / u)) = x. K(x,K(y,z / u)) = K(x,K(y,(K(w,v5) * z) / u)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). 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,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). K(x * y,T(x,z)) / ((z * (x \ R(x,y,x))) / K(x * y,x)) = ((z * (x \ R(x,y,x))) / (K(x,y) * z)) / (K(x,y) * z). K(x,K(y,L(z,u \ w,u))) != v5 | K(x,K(y,L(z,w,u))) = v5. K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * (u / w))) != v5 | K(x,K(y,z * (w \ u))) = v5. K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,(z \ u) * w)) != v5 | K(x,K(y,(u / z) * w)) = v5. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,(y \ K(u,w)) * z). T(x,(K(y,z) / u) * w) = T(T(x,K(u,w)),w * (K(y,z) / u)). T(T(x,K(y,z)),z * (K(u,w) / y)) = T(x,(K(u,w) / y) * z). T(T(x,K(y,z * u)),z \ T(u,w)) = T(x,T(z \ T(u,w),y)). 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) * w)) = K(x,K(y,w * ((v5 / (v5 / z)) / u))). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). K(x,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,K(y,z / (u * w))) = K(x,K(y,z / ((K(v5,v6) * u) * w))). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). x != T(y,(z \ K(u,w)) * v5) | T(y,(z * K(w,u)) \ v5) = x. T(x,(y * K(z,u)) \ w) = T(T(x,K(y,w)),w * (y \ K(u,z))). T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,(y * K(w,u)) \ z). T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,(K(u,w) / y) * z). T(T(x,K(y,z * u)),u \ T(z,w)) = T(x,T(u \ T(z,w),y)). K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). T(x,y * (z \ K(u,w))) != v5 | T(x,y / (z * K(w,u))) = v5. T(T(x,K(y,z)),z / (y * K(u,w))) = T(x,(y * K(u,w)) \ z). T(x,y \ T(z,u)) = T(T(x,K(w,z * y)),T(y \ T(z,u),w)). T(T(x,K(y,z * u)),T(u \ T(z,w),y)) = T(x,u \ T(z,w)). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. T(x,y / z) != T(u,z \ y) | T(u,K(z,y)) = x. T(x,K(y * K(z,u),w)) = T(x,K(y,w)). T(x,(y * K(z,u)) \ w) != v5 | T(T(x,K(y,w)),w * (y \ K(u,z))) = v5. T(T(x,K(y,z)),z * (y * K(u,w))) = T(x,(y * K(u,w)) * z). K(x,K(y,z)) * K(z,x \ (u * (u * y))) = K(z,y / (u \ (u \ x))). x * T(T(K(y,z * z) * u,x),w) = T(u,w) * (x * K(y,z * z)). x != T(y,T(T(z,u),u) \ w) | T(y,z \ w) = x. T(x,(y * z) \ u) = T(x,K(y,z) * (T(y * z,y) \ u)). T(x,K(y,z) * (T(y * z,y) \ u)) = T(x,(y * z) \ u). K(x,K(y,z)) * K(z,x \ (u * (u * y))) != w | K(z,(u * (u * y)) / x) = w. K(x,(y * (y * z)) / u) = K(x,z / (y \ (y \ u))). K(x,(y * (y * z)) / (y * u)) = K(x,z / (y \ u)). K(x,(y * z) / (y * u)) = K(x,(y \ z) / (y \ u)). K(x,(y \ z) / (y \ u)) = K(x,(y * z) / (y * u)). x != K(y,z / u) | K(y,K(u,z)) * K(y,u \ z) = x. K(x,K(y * z,y * u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). K(x,(y \ ((1 / y) * z)) / (y \ u)) = K(x,((y \ 1) * (y * z)) / (y * u)). T(K(x,y * y) * z,u) * w = T(z,u) * (w * K(x,y * y)). K(K(x,L(y,z,u)) * (u * (z * y)),w) != v5 | K(u * (z * T(y,x)),w) = v5. K(x * (y * T(z,u)),w) = K(x * (y * (z * K(u,z))),w). K(x * (y * (z * K(u,z))),w) = K(x * (y * T(z,u)),w). K(x \ (y * (z * K(u,z))),w) = K((x \ 1) * (y * T(z,u)),w). K(x \ (y * T(z,u)),w) = K(x \ (y * (z * K(u,z))),w). K(x \ (y * (z * K(u,z))),w) = K(x \ (y * T(z,u)),w). K(x \ (y * (z / (z / u))),w) = K(x \ (y * T(u,u \ z)),w). K(x \ (y * T(z,z \ u)),w) = K(x \ (y * (u / (u / z))),w). K(T(x * y,y) * z,u) = K(z * (y * x),T(u,y * x)). K(x * (y * z),T(u,y * z)) = K(T(z * y,y) * x,u). K((x * y) * z,u) = K(T(y * x,x) * z,u). K(T(x * y,y) * z,u) = K((y * x) * z,u). K(x,T(y * z,z) * u) * a(w,v5,K((z * y) * u,x)) = K(x,L(T(y * z,z) * u,v5,w)). x * a(y,z,K(u,x)) != w | T(x * K(u,x),L(u,z,y)) = w. T(x,y * ((z * z) / u)) = T(T(x,K(y,u)),z * (z * (u \ y))). T(T(x,K(y,z)),u * (u * (z \ y))) = T(x,y * ((u * u) / z)). K(x,y * ((z * u) \ (z * z))) != w | K(x,y / ((z \ 1) * u)) = w. K(x,y / ((1 / z) * u)) != w | K(x,y / ((z \ 1) * u)) = w. K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. T(x,T((y \ z) * K(y,u),w)) != v5 | T(x,T(T(y,u) \ z,w)) = v5. x != K(y,z) * T(y * K(z,y),u) | T(y,T(u,z)) = x. T(x,T(y / T(z,u),w)) = T(x,T(y / ((u * z) / u),w)). T(x,T(y / ((z * u) / z),w)) = T(x,T(y / T(u,z),w)). x != K(y,K(z,u * (w \ 1))) | K(y,K(z,u / w)) = x. K(x,K(y,z / u)) = K((u / (z \ 1)) * T((u / (1 / z)) \ 1,x),y). K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) = K(z,K(u,y / x)). K((x / (y \ 1)) * T((x / (1 / y)) \ 1,z),u) != w | K(z,K(u,x * y)) = w. x \ T(y * T(x,K(z,u * w)),K(z,u * w)) = T(y,K(u \ w,z) * x). T(T(x,K(y,z)),u) * K(x * y,z) = T(x,u) * K(y * x,z). T(x,T(y,z)) * K(x * y,z) = T(x,y) * K(y * x,z). x != T(y,z) * K(z * y,u) | T(K(z * y,u) * y,T(z,y)) = x. T(K(x * y,z) * y,T(x,y)) = T(y,T(x,z)) * K(y * x,z). x != T(y,z) * u | K(y,z) * (y * u) = x. K(x,T(y,z)) * (x * K(x * y,z)) = T(K(y * x,z) * x,T(y,x)). K(x,T(y,z)) * (K(y * x,z) * x) = T(K(y * x,z) * x,T(y,x)). x * (y * z) != T(y * z,T(u,z)) | K(z * y,u) = x. K(x * K(y * x,z),y) = K(x,T(y,z)). K(x,((y \ 1) * z) * u) * K(x,K(u,y * z)) = K(x,u * ((y \ 1) * z)). K(x,L(y,z / u,(z / u) \ u)) = K(x,L(y,u,(1 / (z / u)) \ u)). K(x,L(y,z \ u,(u / z) \ z)) = K(x,L(y,z,(1 / (u / z)) \ z)). x \ T(y * T(x,K(z,u * w)),K(w / u,z)) = T(y,K(z,u \ w) * x). T(x,y \ (y \ T(T(z,u),w))) = T(T(x,K(z,u)),y \ (y \ T(z,w))). T(T(x,K(y,z)),u \ (u \ T(y,w))) = T(x,u \ (u \ T(T(y,z),w))). K(x,K(y,z * u)) * w != K(x,T(u / z,u) \ y) | K(x,y / (z \ u)) = w. 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,L(y / T(z / u,z),w,v5)) = K(L(x,w,v5),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 / 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 / T(z / u,z),w,v5)) != v6 | K(x,L(y / (u \ z),w,v5)) = v6. 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 / L(T(z,u),z,z)) * w) * K(x,K(w,T(z,u) * y)) = K(x,w * (y / T(T(z,u),z \ 1))). K(K(x * (y / T(z,u)),w) * v5,v6) = K(v5 * (K(w,(y / T(z,u)) * x) * K(w,K(x,z * y))),v6). K(x * (K(y,(z / T(u,w)) * v5) * K(y,K(v5,u * z))),v6) = K(K(v5 * (z / T(u,w)),y) * x,v6). x != K(y,K(z,L(K(u,w) / v5,v6,v7))) | K(y,K(z,L(v5,v6,v7))) = x. K(x,K(y,L(z,z,u))) = K(x,K(z * K(w,v5),L(y,K(v6,v7),u))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). x != K(y,K(z,L(u,u,w))) | K(y,K(u,z)) = x. K(x,K(y,z)) = K(x,K(y * K(u,w),L(z,K(v5,v6),v7))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | K(y,T(z,v5)) = x. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),z / (u / T(w,v7)))). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. K(x,((y \ 1) * (y \ z)) / (y \ u)) = K(x,((y \ 1) * (y * z)) / (y * u)). K((x * K(y,z)) \ u,w) = K(L((x \ u) * K(z,y),K(y,z),x),w). K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). T(x,K(y * z,u) * w) = T(x,K(y \ z,u) * w). T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). T(x,K(y \ z,u) * w) != v5 | T(x,K(y * z,u) * w) = v5. K(x,K(y,z * ((u \ 1) * w))) = K(K(x,y),((u \ 1) * w) * z) * K(K(x,y),K(z,u * w)). K(K(x,y),((z \ 1) * u) * w) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). K(x,(y \ 1) * (y \ (z / (y \ u)))) = K(x,((y \ 1) * (y * z)) / (y * u)). K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,(y \ 1) * (y \ (z / (y \ u)))). 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)). K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,T(z / ((1 / y) \ u),y * y)). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). x != K(y,T(z,u * u)) | K(y,z) = x. K(x,y / ((1 / z) \ u)) = K(x,((z \ 1) * (z * y)) / (z * u)). K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,z / ((1 / y) \ u)). x != K(y,z / ((1 / u) \ w)) | K(y,z / ((u \ 1) \ w)) = x. K(x,y / ((z \ 1) \ u)) = K(x,((z \ 1) * (z * y)) / (z * u)). K(x,((y \ 1) * (y * z)) / (y * u)) = K(x,z / ((y \ 1) \ u)). K(x,(y * ((1 / y) * z)) / (y * u)) = K(x,z / ((y \ 1) \ u)). T(K(x,y) * z,u * u) = K(x,y) * T(z,u * u). T((1 / K(x,y)) * L(K(x,y),z,u),w * w) = K(x,y) * T(L(K(x,y) \ 1,z,u),w * w). T(K(x,y) * T(z,u),w * w) = K(x,y) * T(z,w * (w * u)). T(K(x,y) * K(z,u),w * w) = K(z,u) * T(K(x,y),w * w). (((x * x) * y) / (x * x)) / (((x * x) * (y * K(K(z,u) * T(w,v5),y))) / (x * x)) = K(y,K(z,u) * T(w,x * (x * v5))). T(K(x,y) * K(z,u),w * w) = K(z,u) * K(x,y). L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). x != T(y,z) \ (y * u) | K(z,y) * u = x. K(x,y) * (K(x * y,z) * x) = L(T(K(y * x,z) * x,y),y,K(y,x)). L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). T(K(x * y,z) * y,x) = K(y,x) * (K(y * x,z) * y). K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). K(x,y) * (K(z,u) * x) != w | K(z,u) * T(x,y) = w. K(x * y,z) * T(x,y) = T(K(y * x,z) * x,y). T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). K(x,K(y,T(z,u))) * w != K(x * T(y,v5),T(x,z)) | K(x * T(y,v5),x) = w. K(x * T(y,z),x) = K(y * x,T(x,z)). T(x,x * T(y,z)) = 1 / (x \ K(y * x,T(x,z))). 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). T(x,T(y * x,z)) = T(x,x * T(y,z)). T(x,T(x * y,z)) = T(x,x * T(y,z)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). T(x,K(y \ z,y) * (u / (y \ T(z,w)))) = T(x,u / T(y \ T(z,w),y)). T(x,K(y,z) * (u / (z \ T(y,w)))) = T(x,u / T(z \ T(y,w),z)). T(x,K(y,z) * (u / (z \ T(y,w)))) != v5 | T(x,u / (T(y,w) / z)) = v5. x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,(w * w) \ z) * x). T(x,K(y,(z * z) \ u) * w) = w \ T(x * T(w,K(u,y)),K(u,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,(w * w) \ z) * u). T(x,K(y,(z * z) \ u) * w) = T(x,K(y,u) * w). T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). T(x,K(y,z \ (z \ u)) * w) = T(x,K(y,u) * w). x != T(y,K(z * u,z) * (z \ w)) | T(y,T(z,u) \ w) = x. T(x,T(y,z) \ u) = T(x,K(y * z,y \ 1) * (y \ u)). T(x,K(y * z,y \ 1) * (y \ u)) = T(x,T(y,z) \ u). T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). T(x,K(y * y,z) * u) = T(x,K(z,z) * u). T(x,K(y * y,z) * u) = T(x,1 * u). T(x,K(y * y,z) * u) = T(x,u). T(x,y * (z / (u * u))) = T(x,y * ((u * u) \ z)). T(x,T(y,z * z) / u) = T(x,y / u). T(x,T(y,z * z) * u) = T(x,y * u). T(x,y * T(z,u * u)) = T(x,y * z). T(x,y * (K(z * z,u) * w)) = T(x,y * w). T(x,K(y * y,z) * u) != w | T(x,u) = w. T(x,T(y * (z * z),z)) = T(x,(z * y) * z). T(x,((y * y) \ z) * u) = T(x,z * ((y * y) \ u)). T(x,T(y,z * (u * u)) * w) = T(x,T(y,z) * w). T(x,y * T(z,u * (u * w))) = T(x,y * T(z,w)). T(x,y * K(z * z,u)) != w | T(x,y) = w. T(x,K(y,z * z) * u) != w | T(x,u) = w. T(x,T(y,z * z) * u) != w | T(x,y * u) = w. T(x,y * T(z,u * u)) != w | T(x,y * z) = w. T(x,y * (K(z,T(u,w)) * (u \ v5))) != v6 | T(x,y * (T(u,z) \ v5)) = v6. T(x,y * (T(z,u * u) \ w)) = T(x,y * (z \ w)). T(x,y * z) = T(x,y * (z * K(u,w * w))). T(x,y * (z * K(u,w * w))) = T(x,y * z). x != T(y,(z * u) * z) | T(y,z * (u * z)) = x. T(x,y * (z * y)) = T(x,T(z * (y * y),y)). T(x,T(y * (z * z),z)) = T(x,z * (y * z)). T(x,y * (z * T(u,w * w))) = T(x,y * (z * u)). T(x,y * (z * (u * T(w,v5 * v5)))) = T(x,y * (z * (u * w))). T(x,T(1 / y,z) * u) != w | T(x,T(y \ 1,z) * u) = w. T(x,T(y,z * (u * u)) * w) != v5 | T(x,T(y,z) * w) = v5. T(x,y * ((z * z) / u)) != w | T(x,y * (u \ (z * z))) = w. x != T(y,K(z,u) * w) | T(y,w * K(z,u)) = x. T(x,y * K(z,u * w)) = T(x,K(z,u \ w) * y). T(x,K(y,z \ u) * w) = T(x,w * K(y,z * u)). K(K(x,y \ z) * u,w) = w / T(w,K(x,y * z) * u). x / T(x,K(y,z * u) * w) = K(K(y,z \ u) * w,x). T(x,K(y,z \ u) * w) != v5 | T(x,w * K(y,z * u)) = v5. T(x,y * (z * (u \ (u \ 1)))) = T(x,y * ((u * u) \ z)). T(x,y \ (y \ T(z,u))) = T(x,u * ((y * y) \ (z / u))). T(x,y * ((z * z) \ (u / y))) = T(x,z \ (z \ T(u,y))). T(x,y \ (y \ (z * u))) = T(x,z * ((y * y) \ u)). T(x,T(y,z * u) * w) = T(x,T(y,z \ u) * w). T(x,T(y,z \ u) * w) = T(x,T(y,z * u) * w). T(x,y * T(z,u * w)) = T(x,y * T(z,u \ w)). T(x,y * T(z,u \ w)) = T(x,y * T(z,u * w)). 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 \ (u \ 1)) \ w)) = T(x,y * (z \ w)). T(x,y * T(z * ((u * u) \ w),u * u)) = T(x,y * (((u * u) \ z) * w)). T(x,y * K(z,u \ w)) = T(x,y * K(z,u * w)). T(x,T(y,z \ u) \ w) = T(x,(y \ w) * K(y,z * u)). T(x,(y \ z) * K(y,u * w)) = T(x,T(y,u \ w) \ z). T(x,y \ (y \ (z * u))) != w | T(x,z * (u * (y \ (1 / y)))) = w. T(x,y * (z * (u \ (1 / u)))) = T(x,y * ((u * u) \ z)). T(T(x,y * ((z * z) \ u)),w) = T(T(x,y * u),z \ (z \ w)). T(x,y \ T(z,u \ w)) = T(x,(y \ 1) * T(z,u * w)). T(x,(y \ 1) * T(z,u * w)) = T(x,y \ T(z,u \ w)). x * y != T(z,u * T(w,v5 \ v6)) | x \ T(z,u * T(w,v5 * v6)) = y. x \ T(x,y * T(z,u * w)) = K(x,y * T(z,u \ w)). x * y != T(z,u * K(w,v5 \ v6)) | x \ T(z,u * K(w,v5 * v6)) = y. x \ T(x,y * K(z,u * w)) = K(x,y * K(z,u \ w)). T(x,y * (z * T(u,w \ v5))) = T(x,(y * (z * u)) * K(L(u,z,y),w * v5)). T(x,(y * (z * u)) * K(L(u,z,y),w * v5)) = T(x,y * (z * T(u,w \ v5))). K(x,y) * T(x * K(y,x),z * K(u,w * v5)) = T(x,T(z * K(u,w \ v5),y)). K(K(x,y * z) * u,w) = K(K(x,y \ z) * u,w). K(K(x,y \ z) * u,w) = K(K(x,y * z) * u,w). K(K(x,y \ z) * u,w) != v5 | K(K(x,y * z) * u,w) = v5. K(x * K(y \ z,u),w) = K(K(u,y * z) * x,w). K(K(x,y * z) * u,w) = K(u * K(y \ z,x),w). K(K(x,y) * z,u) = K(K(x,w * (w * y)) * z,u). K(K(x,y * (y * z)) * u,w) = K(K(x,z) * u,w). K(x * K(y * z,u),w) = K(x * K(y \ z,u),w). K(x * K(y \ z,u),w) = K(x * K(y * z,u),w). K(x * K(y \ z,u),w) != v5 | K(x * K(y * z,u),w) = v5. K(K(x,y * (z * z)) * u,w) = K(K(x,y) * u,w). (x * K(y,z * K(u * w,v5))) \ x = K(z * K(u \ w,v5),y). K(((x / y) \ z) * K(y \ x,y),u) != w | K((y \ x) \ z,u) = w. K((x \ y) \ z,u) = K(((y / x) \ z) * K(x * y,x),u). K(((x / y) \ z) * K(y * x,y),u) = K((y \ x) \ z,u). T(x,T(y \ (y \ z),u)) = T(x,y \ (y \ T(z,u))). T(x,y \ (y \ T(z,u))) != w | T(x,T(y \ (y \ z),u)) = w. x != T(y,z \ (z \ T(T(u,w),v5))) | T(T(y,K(u,w)),z \ (z \ T(u,v5))) = x. T(T(x,K(y,z)),u \ (u \ T(y,w))) = T(x,T(u \ (u \ T(y,z)),w)). T(x,y * ((z * (u \ 1)) \ ((u * u) \ w))) = T(x,y * ((z * u) \ w)). T(x,T(y,z * u) \ w) = T(x,T(y,z \ u) \ w). T(x,T(y,z \ u) \ w) = T(x,T(y,z * u) \ w). T(x,y / T(z,u \ w)) = T(x,T(z,u * w) \ T(y,T(z,u * w))). T(x,T(y,z * u) \ T(w,T(y,z * u))) = T(x,w / T(y,z \ u)). T(x,T(y,y \ z) \ u) != w | T(x,(z / (z / y)) \ u) = w. T(x,(y / (y / z)) \ u) = T(x,T(z,z * y) \ u). T(x,T(y,y * z) \ u) = T(x,(z / (z / y)) \ u). T(x,T(y,z \ 1) \ u) = T(x,T(y,z) \ u). K(x,T(y,T(z,u * w) \ v5) * (T(z,u \ w) \ v5)) != v6 | K(x,(T(z,u \ w) \ v5) * y) = v6. T(x,T(y,y * z) \ u) != w | T(x,T(y,z) \ u) = w. T(x,T(y,z) \ u) = T(x,(z / (z / y)) \ u). T(x,(y / (y / z)) \ 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,y / T(z \ u,u)) = T(x,(u / z) \ T(y,u / z)). T(x,(y / z) \ T(u,y / z)) = T(x,u / T(z \ y,y)). x != T(y,z * ((u * u) \ w)) | T(y,z * (w * (u \ (u \ 1)))) = x. T(x,y * (z * (u \ (u \ 1)))) = T(x,y * (z * (u \ (1 / u)))). T(x,y * (z * (u \ (1 / u)))) = T(x,y * (z * (u \ (u \ 1)))). T(x,y \ T(z,u * w)) = T(x,y \ T(z,u \ w)). T(x,y \ T(z,u \ w)) = T(x,y \ T(z,u * w)). T(x,y / (z \ u)) = T(x,(z \ u) \ T(y,z * u)). T(x,(y \ z) \ T(u,y * z)) = T(x,u / (y \ z)). K(x \ T(y,z \ u),w) = w / T(w,x \ T(y,z * u)). x / T(x,y \ T(z,u * w)) = K(y \ T(z,u \ w),x). T(x,(y \ z) \ u) = T(x,T(u,y * z) / (y \ z)). T(x,T(y,z * u) / (z \ u)) = T(x,(z \ u) \ y). T(x,T(y,(z / u) * z) / u) = T(x,((z / u) \ z) \ y). T(x,T(y,z * T(u,z \ 1)) / (u * ((z \ u) / u))) = T(x,(z \ T(u,z \ 1)) \ y). K(x,y * T(z,u * w)) = K(x,y * T(z,u \ w)). K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). K(x,L(y * T(z,u \ w),v5,v6)) = K(L(x,v5,v6),y * T(z,u * w)). K(L(x,y,z),u * T(w,v5 * v6)) = K(x,L(u * T(w,v5 \ v6),y,z)). K(x,((y * z) \ (y * y)) * T(u,z \ y)) != w | K(x,u / ((y \ 1) * z)) = w. K(x,y / ((z \ 1) * u)) = K(x,((z * u) \ (z * z)) * T(y,u * z)). K(x,((y * z) \ (y * y)) * T(u,z * y)) = K(x,u / ((y \ 1) * z)). K(x,y * T(z,u \ 1)) = K(x,y * T(z,u)). K(x,y * z) = K(x,y * T(z,u * u)). K(x,y * T(z,u * u)) = K(x,y * z). K(x,y * (z \ u)) = K(x,(z \ u) * T(y,z * u)). K(x,(y \ z) * T(u,y * z)) = K(x,u * (y \ z)). (x * K(y,z * T(u,w * v5))) \ x = K(z * T(u,w \ v5),y). K(x,y * T(z \ u,z)) != w | K(x,y * (u / z)) = w. K(x,y * (z / (u * u))) = K(x,y * ((u * u) \ z)). K(x,y * T(z * u,z)) != w | K(x,y * (u * z)) = w. K(x,y * (z * (u * u))) = K(x,y * ((u * u) * z)). K(x,y * ((z * z) * u)) = K(x,y * (u * (z * z))). K(x,y * (z / (u \ 1))) = K(x,y * T((u \ 1) \ z,u)). K(x,y * T((z \ 1) \ u,z)) = K(x,y * (u / (z \ 1))). K(x,y * (z / (u * u))) != w | K(x,((u * u) \ y) * z) = w. K(x,((y * y) \ z) * u) = K(x,z * ((y * y) \ u)). K(x,y * ((z * z) * (u \ 1))) = K(x,y * (u \ (z * z))). K(x,(((y * y) \ z) * u) * w) = K(x,(z * u) * ((y * y) \ w)). K(x,y * K(z,u * w)) = K(x,y * K(z,u \ w)). K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). K(x,y * K(z,u)) = K(x,y * K(u,u \ z)). K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). K(x,y * K(z,u)) = K(x,y * K(u * z,z)). K(x,y * K(z * u,u)) = K(x,y * K(u,z)). K(x * K(y * z,y),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * ((y / x) \ z),u) = K((x \ y) \ z,u). T(x,y / T(z \ u,u)) != w | T(x,y / (u / z)) = w. K(x \ T(y,z * u),w) = K(x \ T(y,z \ u),w). K(x \ T(y,z \ u),w) = K(x \ T(y,z * u),w). K(x \ T(y,y \ z),u) != w | K(x \ (z / (z / y)),u) = w. K(x \ (y / (y / z)),u) = K(x \ T(z,z * y),u). K(x \ T(y,y * z),u) = K(x \ (z / (z / y)),u). K(x \ (y \ T(z,u \ w)),v5) = K((y * x) \ T(z,u * w),L(v5,x,y)). K((x * y) \ T(z,u * w),L(v5,y,x)) = K(y \ (x \ T(z,u \ w)),v5). K(x \ y,z) = K(x \ T(y,u * u),z). K(x \ T(y,z * z),u) = K(x \ y,u). x != K(y \ z,u) | K(T(z,y) / y,u) = x. K(T(x,y) / y,z) = K(y \ T(x,u * u),z). K(x \ T(y,z * z),u) = K(T(y,x) / x,u). x != K(y \ ((z \ 1) * u),w) | K(y \ ((1 / z) * u),w) = x. K(x \ ((1 / y) * z),u) = K(x \ T((y \ 1) * z,w * w),u). K(x \ T((y \ 1) * z,u * u),w) = K(x \ ((1 / y) * z),w). K(x \ T((y \ 1) * (y \ z),y * y),u) != w | K(y \ (y \ (x \ z)),u) = w. K(x \ (x \ (y \ z)),u) = K(y \ ((x \ 1) * (x \ z)),u). K(x \ ((y \ 1) * (y \ z)),u) = K(y \ (y \ (x \ z)),u). K(x \ T(y,z * z),u) != w | K(x \ y,u) = w. K(x \ T(y,y * z),u) != w | K(x \ T(y,z),u) = w. K(x \ T(y,z),u) = K(x \ (z / (z / y)),u). K(x \ (y / (y / z)),u) = K(x \ T(z,y),u). K(x \ (y * (z / (z / u))),w) = K((y \ x) \ T(u,z),L(w,x,y)). K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u / (u / z))),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). T(x,T(y,z * (u \ z)) / u) = T(x,((z / u) \ z) \ y). K(x,y \ T((z \ 1) \ u,z)) = K(x,(y \ 1) * (u / (z \ 1))). K(x,y / (z * (u / (w * w)))) = K(x,y * ((z * u) \ (w * w))). K(x \ ((y \ 1) * z),L(u,x,y)) != w | K(((y \ 1) \ x) \ z,u) = w. K(((x \ 1) \ y) \ (x \ z),u) = K(x \ (x \ (y \ z)),L(u,y,x)). K(x \ (x \ (y \ z)),L(u,y,x)) = K(((x \ 1) \ y) \ (x \ z),u). K(x \ ((y \ 1) * (y \ z)),L(u,x,y)) != w | K((y * x) \ ((1 / y) * z),u) = w. K((x * y) \ ((1 / x) * z),u) = K(x \ (x \ (y \ z)),L(u,y,x)). K(x \ (x \ (y \ z)),L(u,y,x)) = K((x * y) \ ((1 / x) * z),u). K(x \ ((y \ 1) * z),u) = K(y \ (y \ (x \ (y * z))),u). K(x \ (x \ (y \ (x * z))),u) = K(y \ ((x \ 1) * z),u). T(x,T(y,z * (u \ z)) / u) = T(x,u \ y). T(x,T(y,z * u) / (z / u)) = T(x,(z / u) \ y). T(T(x,K(y,z)),u * (u * (z \ y))) != w | T(x,y * (z \ (u * u))) = w. K(K(x,y / z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. K(K(x,y * z) * (u * (x * (z / y))),w) = K(u * ((z / y) * x),w). T(x,y * (z * ((u \ 1) * (w * (u * u))))) = T(x,y * (z * (u * w))). T(x,y * K(z \ u,w)) = x * K(x,y * K(z * u,w)). x * K(x,y * K(z * u,w)) = T(x,y * K(z \ u,w)). K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). x != K(y,z * K(u,w)) | K(y,K(u,w) * z) = x. K(x,K(y * z,u) * w) = K(x,w * K(y \ z,u)). K(x,y * K(T(z,u),w)) = K(x,y * K(u * (z * u),w)). K(x,y * K(z * (u * z),w)) = K(x,y * K(T(u,z),w)). K(x,y * K((z * (u * u)) \ w,v5)) = K(x,y * K(z * ((u * u) * w),v5)). K(x,y * K(z,u)) = K(x,y * K((w / z) * w,u)). K(x,y * K((z / u) * z,w)) = K(x,y * K(u,w)). K(x,y * K(((z \ 1) * u) \ w,v5)) = K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)). K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)) = K(x,y * K(((z \ 1) * u) \ w,v5)). K(x,y * (z * K(u \ w,v5))) = K(x,(y * z) * K(u * w,L(v5,z,y))). K(x,(y * z) * K(u * w,L(v5,z,y))) = K(x,y * (z * K(u \ w,v5))). K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). K(x,y * K(z \ u,w)) != v5 | K(x,y * K(z * u,w)) = v5. K(x,K(y * z,u) * w) != v5 | K(x,K(u,y \ z) * w) = v5. K(x,y * K(z * (z / u),w)) = K(x,y * K(u,w)). (x * K(y,K(z * u,w) * v5)) \ x = K(K(z \ u,w) * v5,y). K(x,K(y \ z,T(u,z)) * w) = K(x,K(z * y,u) * w). K(x,y * K(z * (u * z),w)) = K(x,y * K(u,T(w,z))). K(x,K(y / z,u) * w) = K(x,K(y * z,u) * w). K(x,K(y / (z \ u),z) * w) != v5 | K(x,K(z,(y * z) / u) * w) = v5. K(x,K(y,(z * y) / u) * w) = K(x,K(z * (y \ u),y) * w). K(x,K(y * (z \ u),z) * w) = K(x,K(z,(y * z) / u) * w). x != K(y,z * K(u,T(w,v5))) | K(y,z * K(u,w)) = x. K(x,y * K(z,u)) = K(x,y * K(w * (z * w),u)). K(x,y * K(z * (u * z),w)) = K(x,y * K(u,w)). K(x,(y \ z) * K(u,z)) != w | K(x,y \ T(z,u)) = w. K(x,y \ T(z,u * (w * u))) = K(x,(y \ z) * K(w,z)). x != K(y,(z \ u) * K(w,u)) | K(y,z \ T(u,w)) = x. K(x,y \ T(z,u)) = K(x,y \ T(z,w * (u * w))). K(x,y \ T(z,u * (w * u))) = K(x,y \ T(z,w)). K(x,y \ T(z,(u \ w) * w)) = K(x,y \ T(z,u)). K(x,y \ T(z,u * (u / w))) = K(x,y \ T(z,w)). K(x,K(y,z \ u) * w) = K(x,K(y,z * u) * w). K(x,K(y,z * u) * w) != v5 | K(x,K(y,z \ u) * w) = v5. K(x,K(y,y \ (z \ u)) * w) = K(x,K(y,(z * y) * u) * w). K(x,K(y,z / u) * w) = K(x,K(y,T(u,z) * z) * w). K(x,K(y,T(z,u) * u) * w) = K(x,K(y,u / z) * w). K(x,K(y,z \ u) * w) != v5 | K(x,K(z * u,y) * w) = v5. K(x,K(y,z * u) * w) = K(x,K(y,z / u) * w). K(x,K(y,z / u) * w) = K(x,K(y,z * u) * w). K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. T(x,y * (z \ (1 / z))) = T(x,K(u,K(w,v5)) * (y * (z \ (z \ 1)))). T(x,K(y,K(z,u)) * (w * (v5 \ (v5 \ 1)))) = T(x,w * (v5 \ (1 / v5))). K(x * T(y,z * u),w) = K(x * T(y,z \ u),w). K(x * T(y,z \ u),w) = K(x * T(y,z * u),w). K(x * T(y,z \ u),w) != v5 | K(x * T(y,z * u),w) = v5. K(x * y,z) = K(x * T(y,u * u),z). K(x * T(y,z * z),u) = K(x * y,u). K(x * T((y \ z) * y,u),w) != v5 | K(x * T(T(z,u),y * z),w) = v5. K(x,(((y * y) \ ((z \ u) \ u)) * w) * y) != v5 | K(x,(K(((z \ u) \ u) * w,y) / y) * (T(z,u) * w)) = v5. K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) * ((w * w) \ w)). K(x,y \ T((z \ 1) \ u,z)) != w | K(x,y \ (u / (z \ 1))) = w. K(K(x * y,z) * u,w) = K(K(x \ y,z) * u,w). K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. K(x * K(y,z * u),w) = K(K(z \ u,y) * x,w). K(K(x \ y,z) * u,w) = K(u * K(z,x * y),w). K(x * K(y,z \ u),w) = K(x * K(y,z * u),w). K(x * K(y,z / u),w) = K(x * K(y,u * z),w). K(x,K(y,z \ u) * w) = K(x,K(y,(z * y) * u) * w). K(x,K(y,(z * y) * u) * w) = K(x,K(y,z \ u) * w). x != K(y,K(z,u \ w) * v5) | K(y,K(z,u * w) * v5) = x. K(x,K(y,z * u) * w) = K(x,K(y,(z * y) * u) * w). K(x,K(y,(z * y) * u) * w) = K(x,K(y,z * u) * w). K(x,K(y,z * u) * w) != v5 | K(x,K(y,z / u) * w) = v5. K(x,K(y,(z * y) / u) * w) = K(x,K(y,z * u) * w). K(x,K(y,(z * y) / u) * w) != v5 | K(x,K(z * (y \ u),y) * w) = v5. K(x,K(y * (z \ u),z) * w) = K(x,K(z,y * u) * w). K(x,y * K(z,u * (z \ w))) = K(x,K(z,u * w) * y). K(x \ (y * T(z,u)),w) = K(x \ (y * (u / (u / z))),w). K(x \ (y * (z / (z / u))),w) = K(x \ (y * T(u,z)),w). x != K(y \ ((1 / z) * u),w) | K(y \ ((z \ 1) * u),w) = x. K((x * y) \ ((x \ 1) * z),u) = K(x \ (x \ (y \ z)),L(u,y,x)). K(x \ (x \ (y \ z)),L(u,y,x)) = K((x * y) \ ((x \ 1) * z),u). K(x,y \ ((z \ 1) \ T(u,z))) != w | K(x,y \ (u / (z \ 1))) = w. T(T(x,K(y,z)),T(u \ (u \ y),w)) = T(x,T(u \ (u \ T(y,z)),w)). T(x,y / T(z,u * w)) = T(x,y / T(z,u \ w)). T(x,y / T(z,u \ w)) = T(x,y / T(z,u * w)). T(x,y / T(z,u \ w)) != v5 | T(x,y / T(z,w / u)) = v5. T(x,y / T(z,u / w)) = T(x,y / T(z,w * u)). K(x,L(y * T(z,u \ w),v5,v6)) != v7 | K(x,L(y * T(z,u * w),v5,v6)) = v7. K(K(x,y) * (z * (x * (1 / y))),u) = K(z * ((1 / y) * x),u). T(x,y * L(z * (u * u),u,u)) = T(x,y * (u * (u * z))). T(x,L(y * (z * z),z,z) * u) = T(x,T(u,L(y * (z * z),z,z)) * (z * (z * y))). T(x,T(y,L(z * (u * u),u,u)) * (u * (u * z))) = T(x,L(z * (u * u),u,u) * y). ((x * L(y * (z * z),z,z)) * T(u,w)) / ((x * L(y * (z * z),z,z)) * u) = K(u,T(w,x * (z * (z * y)))). T(x,K(y,z) * (u * (w \ (w \ 1)))) != v5 | T(x,u * (w \ (w \ K(y,z)))) = v5. T(x,y * (z \ (z \ K(u,K(w,v5))))) = T(x,y * (z \ (1 / z))). x != T(y,z * (u \ (1 / u))) | T(y,u \ (u \ z)) = x. T(x,y \ (y \ z)) = T(x,z * (y \ (y \ K(u,K(w,v5))))). T(x,y * (z \ (z \ K(u,K(w,v5))))) = T(x,z \ (z \ y)). T(x,y * (z \ (z \ 1))) = T(x,z \ (z \ y)). T(x,y / (z * z)) = T(x,z \ (z \ y)). T(x,T(y,z) / (z * z)) != u | T(x,(1 / z) * (((z * z) \ y) * z)) = u. T(x,(1 / y) * (((y * y) \ z) * y)) = T(x,y \ (y \ T(z,y))). T(x,y \ ((y * z) \ 1)) = T(x,(y * z) \ ((y * z) \ z)). T(x,(y * z) \ ((y * z) \ z)) = T(x,y \ ((y * z) \ 1)). x != T(y,z \ (u \ T(w,u))) | T(y,z \ (w / u)) = x. T(x,y \ (z / y)) = T(x,(1 / y) * (((y * y) \ z) * y)). T(x,(1 / y) * (((y * y) \ z) * y)) = T(x,y \ (z / y)). T(T(x,K(y,z)),T(u \ (u \ y),w)) != v5 | T(x,T(T(u \ (u \ y),z),w)) = v5. T(x,T(T(y \ (y \ z),u),w)) = T(x,T(y \ (y \ T(z,u)),w)). K(x \ (y \ T(z,u * w)),v5) = K(x \ (y \ T(z,u \ w)),v5). K(x \ (y \ T(z,u \ w)),v5) = K(x \ (y \ T(z,u * w)),v5). K(x,y * (z * K(u * w,v5))) = K(x,y * (z * K(u \ w,v5))). K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). K(x,y * (z * K(1,u))) = K(x,y * (z * K(w * w,u))). K(x,y * (z * K(u * u,w))) = K(x,y * (z * K(1,w))). K(x,y * (z / T(u,w \ v5))) = K(x,y * ((z / u) * K(w * v5,u))). K(x,y * ((z / u) * K(w * v5,u))) = K(x,y * (z / T(u,w \ v5))). K(x,y * (K(z \ u,w) * v5)) = K(x,y * (T(v5,K(w,z \ u)) * K(z * u,w))). K(x,y * (T(z,K(u,w \ v5)) * K(w * v5,u))) = K(x,y * (K(w \ v5,u) * z)). (x * K(y,z * (u * K(w * v5,v6)))) \ x = K(z * (u * K(w \ v5,v6)),y). K(x,y * (z * (u * K(w \ v5,z)))) = K(x,y * ((z * u) * K(w * v5,z))). K(x,y * ((z * u) * K(w * v5,z))) = K(x,y * (z * (u * K(w \ v5,z)))). K(x,y * (z \ K(u \ w,v5))) = K(x,y * ((z \ 1) * K(u * w,v5))). K(x,y * ((z \ 1) * K(u * w,v5))) = K(x,y * (z \ K(u \ w,v5))). K(x,y * (z * K(z \ 1,u))) != w | K(x,y * (((u * (z \ 1)) / u) \ 1)) = w. K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (z * K(u * u,w))) = K(x,y * (z * 1)). K(x,y * (z * K(u * u,w))) = K(x,y * z). K(x,y * (K(z * z,u) * w)) = K(x,y * w). K(x,y * (z * u)) = K(x,y * (T(z,w * w) * u)). K(x,y * (T(z,u * u) * w)) = K(x,y * (z * w)). K(x,y) = K(x,K(z,u * u) * y). K(x,K(y,z * z) * u) = K(x,u). K(x,y * K(z * z,u)) = K(x,y). K(x,T(y,z * z) \ u) = K(x,y \ u). K(x,K(y \ z,y) * (z * u)) != w | K(x,T(z,y) * u) = w. K(x,T(y,z * z) * u) = K(x,y * u). K(x,y \ T(z,u * u)) = K(x,y \ z). K(x,y / T(z,u * u)) = K(x,y / z). K(x,(T(y,z) * (z \ 1)) \ u) = K(x,((z \ 1) * y) \ u). K(x,((y \ 1) * T(z,y)) \ u) = K(x,(z * (1 / y)) \ u). K(x,T(y,z * (z * u)) \ w) = K(x,T(y,u) \ w). K(x,T(y,z * (z * u)) * w) = K(x,T(y,u) * w). K(x,y \ (((z * z) \ u) * w)) = K(x,y \ (u * (w / (z * z)))). K(x,y \ T(z,u * (u * w))) = K(x,y \ T(z,w)). K(x,y \ T(z,u * u)) != w | K(x,y \ z) = w. K(x,y / ((1 / z) * T(u,z))) = K(x,y / (u * (z \ 1))). K(x,y / T(z,u * (u * w))) = K(x,y / T(z,w)). K(x,y \ T(z,u * (u * w))) != v5 | K(x,y \ T(z,w)) = v5. K(x,y * (T(z,(u \ w) * (u \ w)) * (w / u))) != v5 | K(x,y * ((w / u) * (z * K(u / w,z)))) = v5. K(x,y * ((z / u) * (w * K(u / z,w)))) = K(x,y * (w * (z / u))). K(x,T(y,z * u) \ w) = K(x,T(y,z \ u) \ w). K(x,T(y,z \ u) \ w) = K(x,T(y,z * u) \ w). K(x,T(y,(z * u) * z) * w) = K(x,T(y,u) * w). K(x,T(y,z * u) * w) = K(x,T(y,z \ u) * w). K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). K(x,T(y,(z * z) * u) * w) = K(x,T(y,u) * w). K(x,y \ T((z / (1 / u)) * w,u * (u * w))) != v5 | K(x,y \ (((u * u) * w) * (z / u))) = v5. K(x,y \ (((z * z) * u) * (w / z))) = K(x,y \ T((w / (1 / z)) * u,u)). K(x,y \ T((z / (1 / u)) * w,w)) = K(x,y \ (((u * u) * w) * (z / u))). K(x,y \ T(z,u * w)) = K(x,y \ T(z,u \ w)). K(x,y \ T(z,u \ w)) = K(x,y \ T(z,u * w)). K(x,y / T(z,u * w)) = K(x,y / T(z,u \ w)). K(x,y / T(z,u \ w)) = K(x,y / T(z,u * w)). K(x,y / T(z,(u / w) * u)) = K(x,y / T(z,w)). K(x,L(T(y,z \ u) \ w,v5,v6)) = K(L(x,v5,v6),T(y,z * u) \ w). K(L(x,y,z),T(u,w * v5) \ v6) = K(x,L(T(u,w \ v5) \ v6,y,z)). K(x,T(y,(z * (u * u)) \ w) \ v5) = K(x,T(y,z * ((u * u) * w)) \ v5). K(x,T(y,z / u) \ w) = K(x,T(y,T(u,z) * z) \ w). K(x,T(y,T(z,u) * u) \ w) = K(x,T(y,u / z) \ w). x != K(y,T(z,u) * w) | K(w,K(z,y)) * K(y,w * T(z,u)) = x. K(x,K(y,z)) * K(z,x * T(y,u)) = K(z,T(y,(w * u) * w) * x). K(x,T(y,(z * u) * z) * w) = K(w,K(y,x)) * K(x,w * T(y,u)). K(x,T(y,z * (u * z)) * w) = K(x,T(y,u) * w). K(x,L(T(y,z \ u) * w,v5,v6)) = K(L(x,v5,v6),T(y,z * u) * w). K(L(x,y,z),T(u,w * v5) * v6) = K(x,L(T(u,w \ v5) * v6,y,z)). K(x,(y \ z) * u) = K(x,T(u,y * z) * (y \ z)). K(x,T(y,z * u) * (z \ u)) = K(x,(z \ u) * y). K(x,T(y,((z \ 1) * u) \ ((z * z) * w)) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). K(x,T(y,z * u) * (z \ u)) != w | K(x,(z \ u) * y) = w. K(x,T(y,((z \ 1) \ u) * w) * v5) = K(x,T(y,(z \ u) * w) * v5). K(x,T(y,z \ u) / w) = K(x,T(w,T(y,z \ u)) \ T(y,z * u)). K(x,T(y,T(z,u \ w)) \ T(z,u * w)) = K(x,T(z,u \ w) / y). L(K(x,y \ T(z,u * w)),v5,v6) = K(x,L(y \ T(z,u \ w),v5,v6)). K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,w / u)) = v5. K(x,y / T(z,u / w)) = K(x,y / T(z,w * u)). (x * K(y,z / T(u,w * v5))) \ x = K(z / T(u,w \ v5),y). x \ y != K(z,T(u,w * (v5 * w)) * v6) | x * K(z,T(u,v5) * v6) = y. x * K(x,T(y,z) * u) = T(x,T(y,w * (z * w)) * u). T(x,T(y,z * (u * z)) * w) = x * K(x,T(y,u) * 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,T(y,(z * z) * u) * (z \ ((1 / z) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). K(x,y / (z * (u / w))) = K(x,y / T((u / w) * z,w * u)). K(x,y / T((z / u) * w,u * z)) = K(x,y / (w * (z / u))). K(x,(T(y,y \ z) * ((z / y) \ 1)) \ u) = K(x,(((z / y) \ 1) * y) \ u). K(x,((y \ 1) * T(z,y)) \ u) != w | K(x,(z * (y \ 1)) \ u) = w. K(x,y / ((z \ 1) * T(u,z))) = K(x,y / (u * (z \ 1))). K(x,T(y,z * u) \ w) = K(x,T(y,z / u) \ w). K(x,T(y,z / u) \ w) = K(x,T(y,z * u) \ w). T(x,T(y,z) * u) = T(x,T(y,w * (z * w)) * u). T(x,T(y,z * (u * z)) * w) = T(x,T(y,u) * w). T(x,T(y,z * (u * z)) * (z * (z * u))) != w | T(x,(z * (z * u)) * y) = w. T(x,(y * (y * z)) * u) = T(x,T(u,z) * (y * (y * z))). T(x,T(y,z) * (u * (u * z))) = T(x,(u * (u * z)) * y). T(x,T(y,z * u) * w) = T(x,T(y,u / z) * w). T(x,T(y,z / u) * w) = T(x,T(y,u * z) * w). K(x,T(y,T(z,u) * w) * (((z \ u) \ u) \ w)) != v5 | K(x,(((z \ u) \ u) \ w) * y) = v5. K(x,T(y,z * T(u,w * v5)) * (z \ T(u,w \ v5))) != v6 | K(x,(z \ T(u,w \ v5)) * y) = v6. K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). K(x,y * z) = K(x,z * T(y,y * (x * z))). K(x,y * T(z,z * (x * y))) = K(x,z * y). K(x,y * T(z,x * y)) = K(x,z * y). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * z) = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = T(x,z * y). T(x,K(y,z) * u) != w | u \ T(x * T(u,K(y,z)),K(z,y)) = w. T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). K(x / T(y,z * u),w) = K(x / T(y,z \ u),w). K(x / T(y,z \ u),w) = K(x / T(y,z * u),w). K(x / T(y,z \ u),w) != v5 | K(x / T(y,z * u),w) = v5. K(x / L(T(y,z \ u),w,v5),v6) = K(x / T(L(y,w,v5),z * u),v6). K(x / y,z) = K(x / T(y,u * u),z). K(x / T(y,z * z),u) = K(x / y,u). K(x / ((y \ z) \ z),u) = K(x / T(y,y * z),u). K(x / T(y,y * z),u) = K(x / ((y \ z) \ z),u). K(x / (y * (z * z)),u) = K(x / ((z * z) * y),u). K(x / ((y * y) * z),u) = K(x / (z * (y * y)),u). K(x / ((y \ 1) * T(z,y)),u) = K(x / (z * (1 / y)),u). K(x \ (x \ (y / z)),u) = K(y / (z * (x * x)),u). K(x / (y * (z * z)),u) = K(z \ (z \ (x / y)),u). 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 / (y / (y / z)),u) != w | K(x / T(z,z * y),u) = w. K(x,y / T(z,(u / w) * u)) != v5 | K(x,y / T(z,w)) = v5. K(x,y / T((z / (z / u)) * w,u)) = K(x,y / (w * (z / (z / u)))). K(x,((T(y,z) \ 1) * z) \ u) != w | K(x,(z * (y \ 1)) \ u) = w. K(x,(((y \ z) \ 1) * y) \ u) != w | K(x,(y * ((z / y) \ 1)) \ u) = w. K(x,y * (z / T(u,w * v5))) = K(x,y * (z / T(u,w \ v5))). K(x,y * (z / T(u,w \ v5))) = K(x,y * (z / T(u,w * v5))). K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,u * w))). K(x,y * (z / T(u,u * w))) = K(x,y * (z / ((u \ w) \ w))). K(x,y * (z \ K(u * w,v5))) = K(x,y * (z \ K(u \ w,v5))). K(x,y * (z \ K(u \ w,v5))) = K(x,y * (z \ K(u * w,v5))). K(x,y * ((z / u) * T(w,u / z))) = K(x,y * (w * (z / u))). K(x,L(T(y,z \ u) \ w,v5,v6)) != v7 | K(x,L(T(y,z * u) \ w,v5,v6)) = v7. K(x,L(T(y,z \ u) * w,v5,v6)) != v7 | K(x,L(T(y,z * u) * w,v5,v6)) = v7. K(x,T(y,z * ((u \ 1) \ w)) * v5) = K(x,T(y,(u \ w) * z) * v5). K(x,T(y,T(z,u * w)) \ T(z,u * w)) = K(x,T(z,u \ w) / y). K(x,L(y \ T(z,u * w),v5,v6)) = K(x,L(y \ T(z,u \ w),v5,v6)). K(x,L(y \ T(z,u \ w),v5,v6)) = K(x,L(y \ T(z,u * w),v5,v6)). K(x / L(T(y,z \ u),w,v5),v6) = K(x / L(T(y,z * u),w,v5),v6). K(x,y / T((z / (z / u)) * w,u)) = K(x,y / (w * (u * K(u \ z,u)))). K(x,T(y,z * u) / w) = K(x,T(y,z \ u) / w). K(x,T(y,z \ u) / w) = K(x,T(y,z * u) / w). K(x,T(y,z \ u) / w) != v5 | K(x,T(y,z * u) / w) = v5. K(x,L(T(y,z \ u) / w,v5,v6)) = K(L(x,v5,v6),T(y,z * u) / w). K(L(x,y,z),T(u,w * v5) / v6) = K(x,L(T(u,w \ v5) / v6,y,z)). (x * K(y,T(z,u * w) / v5)) \ x = K(T(z,u \ w) / v5,y). K(T(x,y * z) / u,w) = K(T(x,y \ z) / u,w). K(T(x,y \ z) / u,w) = K(T(x,y * z) / u,w). K(T(x,y \ z) / u,w) != v5 | K(T(x,y * z) / u,w) = v5. K(T(x,y) / z,u) = K(T(x,(w / y) * w) / z,u). K(T(x,(y / z) * y) / u,w) = K(T(x,z) / u,w). K(T(x,y * (z \ y)) / u,w) = K(T(x,z) / u,w). K(T(x,y) / (z * (y \ z)),u) != w | K((z * (y \ z)) \ x,u) = w. K(T(x,y / z) / u,w) != v5 | K(T(x,z * y) / u,w) = v5. K((x * (y \ x)) \ T(z,y),u) = K(z / (x * (y \ x)),u). K((x \ y) \ (y \ T(z,x)),L(u,x \ y,y)) = K(z / (y * (x \ y)),u). K(x,L(y \ T(y * z,y \ 1),u,w)) != v5 | K(x,L((y \ z) * y,u,w)) = v5. K(x,L((y \ z) * y,u,w)) = K(x,L(y \ T(y * z,y * 1),u,w)). K(x,L(y \ T(y * z,y * 1),u,w)) = K(x,L((y \ z) * y,u,w)). K(x,L(T(y,z \ u) / w,v5,v6)) != v7 | K(x,L(T(y,z * u) / w,v5,v6)) = v7. K(x,L(y \ T(y * z,y),u,w)) = K(x,L((y \ z) * y,u,w)). K(x,L((y * z) / y,u,w)) = K(x,L((y \ z) * y,u,w)). K(x,L((y * z) / y,u,w)) != v5 | K(x,L(T(z,y),u,w)) = v5. 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(((1 / y) \ z) / y,u,w)) = K(x,L(T(z,y),u,w)). K(x,L(((1 / y) \ (z * y)) / y,u,w)) != v5 | K(x,L((1 / y) \ z,u,w)) = v5. K(x,L((1 / 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((1 / z) \ y,u,w)). K(x,L((1 / y) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,L((K(y,z) * u) \ w,v5,v6)) != v7 | K(x,L((u \ K(z,y)) * w,v5,v6)) = v7. K(x,(y \ (1 / z)) \ u) != w | K(x,L(z * (y * u),z,y)) = w. K(x,L(y * (z * u),y,z)) = K(x,(z \ (y \ 1)) \ u). K(x,(L(y,z,u) \ (y \ 1)) \ w) != v5 | K(x,y * (L(y,z,u) * w)) = v5. K(x * T(T(y,z),u * y),w) = K(x * T(T(y,z),u),w). K(x,(y * ((z / y) \ 1)) \ T(u,((y \ z) \ 1) * y)) = K(x,u / (((y \ z) \ 1) * y)). K(x,(y * ((z / y) \ 1)) \ u) = K(x,(((y \ z) \ 1) * y) \ u). K(x,(((y \ z) \ 1) * y) \ u) = K(x,(y * ((z / y) \ 1)) \ u). x != K(y,z \ T(u,z)) | K(y,u / z) = x. K(x,y / (z * ((u / z) \ 1))) = K(x,(((z \ u) \ 1) * z) \ T(y,z * ((u / z) \ 1))). K(x,(((y \ z) \ 1) * y) \ T(u,y * ((z / y) \ 1))) = K(x,u / (y * ((z / y) \ 1))). T(x,y * (((z * z) \ u) * w)) != v5 | T(x,y * (u * ((z * z) \ w))) = v5. T(x,(1 / y) * (z * ((y * y) \ y))) = T(x,y \ (z / y)). T(x,(1 / y) * (z * (1 / y))) = T(x,y \ (z / y)). T(x,(y \ 1) * (z * (y \ 1))) = T(x,y \ (z / y)). T(x,y \ (z * (y \ 1))) = T(x,y \ (z / y)). K(x,y * K((z * z) \ (u \ w),v5)) = K(x,y * K(u * ((z * z) * w),v5)). K(x * (y * K(z \ u,w)),v5) != v6 | K(x * (y * K(z * u,w)),v5) = v6. x != K(y,z * (u * (w * K(v5,u)))) | K(y,z * (T(u,v5) * w)) = x. K(x,y * (T(z,u \ w) * v5)) = K(x,y * ((z * v5) * K(u * w,z))). K(x,y * ((z * u) * K(w * v5,z))) = K(x,y * (T(z,w \ v5) * u)). K(x,y * (z * (u * K(w * v5,z)))) = K(x,y * (T(z,w \ v5) * u)). K(x,y * (T(z,u \ w) * v5)) != v6 | K(x,y * (T(z,u * w) * v5)) = v6. K(x,y \ T(z * u,u)) != w | K(x,y \ (u * z)) = w. K(x,y \ (z * (u / (1 / w)))) = K(x,y \ (((w * w) * z) * (u / w))). K(x,y \ (((z * z) * u) * (w / z))) = K(x,y \ (u * (w / (1 / z)))). K(x,y \ ((z * z) * (u * (w / z)))) = K(x,y \ (u * (w / (1 / z)))). K(x,T(y,(z * z) \ (u \ w)) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). K(x,(y * ((y \ z) \ 1)) \ u) = K(x,(((z / y) \ 1) * y) \ u). K(x,(((y / z) \ 1) * z) \ u) = K(x,(z * ((z \ y) \ 1)) \ u). K(x,y * K(z \ (z \ (u \ w)),v5)) = K(x,y * K(u * ((z * z) * w),v5)). K(x,T(y,z \ (z \ (u \ w))) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). K(x,y * K(z * (z \ (u \ w)),v5)) = K(x,y * K(u * ((z * z) * w),v5)). K(x,T(y,z \ u) \ w) != v5 | K(x,T(y,z * u) \ w) = v5. K(x,T(y,z * (z \ (u \ w))) \ v5) = K(x,T(y,u * ((z * z) * w)) \ v5). K(x,y * K(z \ u,w)) = K(x,y * K(z * ((v5 * v5) * u),w)). K(x,y * K(z * ((u * u) * w),v5)) = K(x,y * K(z \ w,v5)). K(x,y * K(z * ((u * u) * w),v5)) != v6 | K(x,y * K(z * w,v5)) = v6. K(x,T(y,z \ u) \ w) = K(x,T(y,z * ((v5 * v5) * u)) \ w). K(x,T(y,z * ((u * u) * w)) \ v5) = K(x,T(y,z \ w) \ v5). x != K(y,T(z,u \ w) \ v5) | K(y,T(z,u * w) \ v5) = x. K(x,T(y,z * u) \ w) = K(x,T(y,z * ((v5 * v5) * u)) \ w). K(x,T(y,z * ((u * u) * w)) \ v5) = K(x,T(y,z * w) \ v5). K(x,T(y,z * ((u \ 1) \ w)) \ v5) = K(x,T(y,z * (u \ w)) \ v5). T(x,y * (z * T(u,w * v5))) = T(x,y * (z * T(u,w \ v5))). T(x,y * (z * T(u,w \ v5))) = T(x,y * (z * T(u,w * v5))). T(x,y * (T(z,u \ w) * v5)) = T(x,y * (T(v5,T(z,u \ w)) * T(z,u * w))). T(x,y * (T(z,T(u,w \ v5)) * T(u,w * v5))) = T(x,y * (T(u,w \ v5) * z)). T(x,y \ (z * T(u,w \ v5))) = T(x,(y \ 1) * (z * T(u,w * v5))). T(x,(y \ 1) * (z * T(u,w * v5))) = T(x,y \ (z * T(u,w \ v5))). T(x,(y * T(z,u \ w)) * v5) = T(x,T(v5,y * T(z,u \ w)) * (y * T(z,u * w))). T(x,T(y,z * T(u,w \ v5)) * (z * T(u,w * v5))) = T(x,(z * T(u,w \ v5)) * y). x * y != T(z,u * (w * T(v5,v6 \ v7))) | x \ T(z,u * (w * T(v5,v6 * v7))) = y. x \ T(x,y * (z * T(u,w * v5))) = K(x,y * (z * T(u,w \ v5))). T(x,y * (z * (u \ w))) = T(x,y * ((u \ w) * T(z,u * w))). T(x,y * ((z \ u) * T(w,z * u))) = T(x,y * (w * (z \ u))). K(x * (y * T(z,u \ w)),v5) = v5 / T(v5,x * (y * T(z,u * w))). x / T(x,y * (z * T(u,w * v5))) = K(y * (z * T(u,w \ v5)),x). T(x,y \ (z * T(u,w * v5))) = T(x,y \ (z * T(u,w \ v5))). T(x,y \ (z * T(u,w \ v5))) = T(x,y \ (z * T(u,w * v5))). T(x,y \ (z * u)) = T(x,y \ (z * T(u,w * w))). T(x,y \ (z * T(u,w * w))) = T(x,y \ (z * u)). T(x,y \ ((z * z) * T(u,z * z))) != w | T(x,z * (z * (y \ u))) = w. T(x,y * (y * (z \ u))) = T(x,z \ ((y * y) * u)). T(x,y \ ((z * z) * u)) = T(x,z * (z * (y \ u))). T(x,y \ (z * (1 / u))) = T(x,y \ (z * (u \ 1))). T(x,y \ ((z * z) * u)) != w | T(x,(y \ (z * z)) * u) = w. T(x,(y \ (z * z)) * u) = T(x,z * (z * (y \ u))). T(x,(y * z) \ ((y * y) * u)) != w | T(x,((y \ 1) * z) \ u) = w. T(x,((y \ 1) * z) \ u) = T(x,y * (y * ((y * z) \ u))). T(x,y * (y * ((y * z) \ u))) = T(x,((y \ 1) * z) \ u). T(x,y \ ((z * u) * (1 / u))) != w | T(x,y \ T((u * z) * (1 / u),u * z)) = w. T(x,y \ T((z * u) * (1 / z),z * u)) = T(x,y \ ((u * z) * (z \ 1))). K(x,y * (z * T(u,w * v5))) = K(x,y * (z * T(u,w \ v5))). K(x,y * (z * T(u,w \ v5))) = K(x,y * (z * T(u,w * v5))). K(x,y * (z * T(u,w \ v5))) != v6 | K(x,y * (z * T(u,w * v5))) = v6. K(x,y \ (z * T(u,w \ v5))) = K(x,(y \ 1) * (z * T(u,w * v5))). K(x,(y \ 1) * (z * T(u,w * v5))) = K(x,y \ (z * T(u,w \ v5))). K(x,(y * T(z,u \ w)) * v5) = K(x,T(v5,y * T(z,u \ w)) * (y * T(z,u * w))). K(x,T(y,z * T(u,w \ v5)) * (z * T(u,w * v5))) = K(x,(z * T(u,w \ v5)) * y). K(x,(y * (z * T(u,w \ v5))) * (1 / (z * T(u,w \ v5)))) = K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))). K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,(y * (z * T(u,w \ v5))) * (1 / (z * T(u,w \ v5)))). K(x,T(y,z * T(u,w \ v5)) * (1 / (z * T(u,w \ v5)))) = K(x,((z * T(u,w \ v5)) \ (y * ((z * T(u,w \ v5)) \ 1))) * (z * T(u,w * v5))). K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u \ w)) * (1 / (y * T(z,u \ w)))). K(x,y * (z * K(u,w \ v5))) = K(x,y * ((z / u) * T(u,w * v5))). K(x,y * ((z / u) * T(u,w * v5))) = K(x,y * (z * K(u,w \ v5))). K(x * (y * T(z,u * w)),v5) = K(x * (y * T(z,u \ w)),v5). K(x * (y * T(z,u \ w)),v5) = K(x * (y * T(z,u * w)),v5). K(x \ (y * T(z,u \ w)),v5) = K((x \ 1) * (y * T(z,u * w)),v5). K((x \ 1) * (y * T(z,u * w)),v5) = K(x \ (y * T(z,u \ w)),v5). K(x,y \ (z * T(u,w * v5))) = K(x,y \ (z * T(u,w \ v5))). K(x,y \ (z * T(u,w \ v5))) = K(x,y \ (z * T(u,w * v5))). K(x,y \ (z * T(u,w \ v5))) != v6 | K(x,y \ (z * T(u,w * v5))) = v6. K(x,y \ (z * T(u,w))) = K(x,y \ (z * T(u,v5 * (v5 * w)))). K(x,y \ (z * T(u,w * (w * v5)))) = K(x,y \ (z * T(u,v5))). K(x,y \ (z * u)) = K(x,y \ (z * T(u,w * w))). K(x,y \ (z * T(u,w * w))) = K(x,y \ (z * u)). K(x,y \ (z * ((u * u) \ w))) = K(x,y \ (z * (w / (u * u)))). K(x,y \ (z * (u / (w * w)))) = K(x,y \ (z * ((w * w) \ u))). K(x,y \ (z * (u / (w * w)))) != v5 | K(x,y \ (((w * w) \ z) * u)) = v5. K(x,y \ (((z * z) \ u) * w)) = K(x,y \ (u * ((z * z) \ w))). K(x,y * (z * K(u,w * v5))) = K(x,y * (z * K(u,w \ v5))). K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). K(x,y * (K(z,u \ w) * v5)) = K(x,y * (v5 * K(z,u * w))). K(x,y * (K(z,u \ w) * v5)) != v6 | K(x,y * (K(z,u * w) * v5)) = v6. K(x \ (y * T(z,u * w)),v5) = K(x \ (y * T(z,u \ w)),v5). K(x \ (y * T(z,u \ w)),v5) = K(x \ (y * T(z,u * w)),v5). K(x \ (y * T(z,u \ w)),v5) != v6 | K(x \ (y * T(z,u * w)),v5) = v6. K(x \ (y * (z \ u)),w) = K(x \ ((z \ u) * T(y,z * u)),w). K(x \ ((y \ z) * T(u,y * z)),w) = K(x \ (u * (y \ z)),w). K(x,y * (z * T(u,w / v5))) != v6 | K(x,y * (z * T(u,v5 * w))) = v6. K(x \ (y * (z / (z / u))),w) != v5 | K(x \ (y * T(u,u * z)),w) = v5. K(x,y * ((z / u) * T(w,z * u))) = K(x,y * (w * (z / u))). K(x,y * ((1 / z) * T(u * z,1 * z))) = K(x,y * (u * (a(u,z,1 / z) * K(z,z \ 1)))). K(x,y * (z * (a(z,u,1 / u) * K(u,u \ 1)))) = K(x,y * ((1 / u) * T(z * u,1 * u))). K(x \ (y * T(z,z * u)),w) = K(x \ (y * T(z,u)),w). K(x \ (y * T(z,z * T((u \ w) \ 1,v5))),v6) = K(x \ (y * T(z,T(w \ u,v5))),v6). T(x,y \ T((z * u) * (1 / z),z * u)) = T(x,y \ R(u,z,z)). T(x,y \ T(z * u,z)) != w | T(x,y \ (u * z)) = w. T(x,y \ ((1 / z) * (z * u))) = T(x,y \ R(u,z,z)). T(x,y \ L(z,u,u)) = T(x,y \ R(z,u,u)). T(x,y \ R(z,u,u)) = T(x,y \ L(z,u,u)). K(x,L(T(y,z * 1) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). K(x,L(T(y,z) \ u,y,z)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). K(x,L(T(y,z) \ u,y,z)) != w | K(x,(y * z) \ (z * u)) = w. K(x,(y * z) \ (z * u)) = K(x,(y * (z \ 1)) \ ((1 / z) * u)). K(x,(y * (z \ 1)) \ ((1 / z) * u)) = K(x,(y * z) \ (z * u)). K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y * z) \ (z * u)). K(x,(y * z) \ (z * u)) != w | K(x,L(T(y,z) \ u,y,z)) = w. K(x,L(T(y,z \ 1) \ u,y,z \ 1)) = K(x,(y * z) \ (z * u)). K(x,L(T(y,(z / y) \ 1) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,z \ (y * 1)) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,z \ y) \ u,y,(z / y) \ 1)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,z \ y) \ u,y,z / y)) = K(x,z \ ((y \ z) * u)). K(x * T(y,z * z),u) != w | K(x * y,u) = w. K(K(x,y * y) * (z * x),u) = K(((y * y) \ z) * ((y * y) * x),u). K(x * T(y,z * z),u) = K(((z * z) \ x) * ((z * z) * y),u). K(((x * x) \ y) * ((x * x) * z),u) = K(y * T(z,x * x),u). K(T(x,y * y) * z,u) = K(x * T(z,y * y),u). x != K(y * T(z,u * u),w) | K(y * z,w) = x. K(x * y,z) = K(T(x,u * u) * y,z). K(T(x,y * y) * z,u) = K(x * z,u). K(((x * x) \ y) * z,u) = K(y * ((x * x) \ z),u). K(x \ (x \ (y * z)),u) = K(y * ((x * x) \ z),u). K(x,T(y,x \ z)) * (x * T(x \ z,u)) = (x * T(x \ z,u)) * K(x,y). K(x,T(y,z)) * (x * T(x \ z,u)) = (x * T(x \ z,u)) * K(x,y). T(x,T(y,z)) * T(x \ z,u) = (x * T(x \ z,u)) * K(x,y). T(x,T(y,z)) * T(x \ y,u) = (x * T(x \ y,u)) * K(x,T(y,z)). (x * T(x \ y,z)) * K(x,T(y,u)) = T(x,T(y,u)) * T(x \ y,z). T(T(x,y / (z * u)),K(w,(z * u) * y)) = T(x,T(y / T(u * z,u),w)). T(x,T(y / (z * u),w)) = T(x,T(y / T(u * z,u),w)). T(x,T(y / T(z * u,z),w)) = T(x,T(y / (u * z),w)). K(x,K(y,z)) * u != K(z,T(y,(w * v5) * w) * x) | K(z,x * T(y,v5)) = u. K(x,y * T(z,u)) = K(x,y * T(z,w * (u * w))). K(x,y * T(z,u * (w * u))) = K(x,y * T(z,w)). K(x,L(T((y \ 1) \ z,u),w,v5)) != v6 | K(x,L(T(y * z,u),w,v5)) = v6. K(x,L(T((y / z) * u,y * z),w,v5)) = K(x,L(u / ((y / z) \ 1),w,v5)). K(x,L(T((y / z) * u,y * z),w,v5)) != v6 | K(x,L(u * (y / z),w,v5)) = 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)). 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(z * K(u,w),v5)) = T(x,K(z,v5) * y). T(x,K(y,z) * u) = T(x,K(K(w,v5) * y,z) * u). T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). x / T(x,K(y,z) * u) = K(u * K(z,K(w,v5) * y),x). K(x * K(y,K(z,u) * w),v5) = v5 / T(v5,K(w,y) * x). K(K(x,y) * z,u) = K(z * K(y,K(w,v5) * x),u). K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). K(x * K(K(y,z) * u,w),v5) = K(K(u,w) * x,v5). K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). K(K(x,K(y,z) * u) * w,v5) = K(K(u,x) * w,v5). K(x * K(y,z),u) = K(K(K(w,v5) * z,y) * x,u). K(K(K(x,y) * z,u) * w,v5) = K(w * K(u,z),v5). K(T(K(x,y) * z,u) * w,v5) = K(K(z,u) * ((K(x,y) * z) * w),v5). K(K(x,y) * ((K(z,u) * x) * w),v5) = K(T(K(z,u) * x,y) * w,v5). K(K((x / y) * z,u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K(T(x * (y / z),K(y,z)),u) * w,v5) = K(K(x * (z \ y),u) * w,v5). x / T(x,y * K(z,u)) = K(K(K(w,v5) * u,z) * y,x). K(K(K(x,y) * z,u) * w,v5) = v5 / T(v5,w * K(u,z)). x / y != K(K(K(z,u) * w,v5) * v6,x) | T(x,v6 * K(v5,K(u,z) * w)) = y. T(x,y * K(z,K(u,w) * v5)) = T(x,y * K(z,v5)). T(x,T(y,z * K(u,w)) \ v5) = T(x,(y \ v5) * K(y,z)). T(x,T(y,z * K(u,w)) \ v5) != v6 | T(x,T(y,z) \ v5) = v6. T(x,T(y,T(z,u)) \ w) != v5 | T(x,T(y,z) \ w) = v5. K(K(x * (y / z),u) * w,v5) = K(K(x * (z \ y),u) * w,v5). K(x,K(y,z)) * K(y,x / (u * (u / z))) = K(y,(u * (u / z)) \ x). K(x,K(y,z)) * K(z,y / (u * (u / x))) = K(z,(u * (u / x)) \ y). K(K(x,y * (y * K(z,u))) * K(u,z / (w * (w / x))),v5) = K(K(u,(w * (w / x)) \ z),v5). K(x,(y \ z) / (y \ u)) != w | K(x,(y * z) / (y * u)) = w. K(x,K(y \ z,y * u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). T(x,T(y * K(z,u * w),v5)) = T(x,T(y * K(z,u \ w),v5)). T(x,T(y * K(z,u \ w),v5)) = T(x,T(y * K(z,u * w),v5)). T(x,T(T(y,z \ u) \ w,v5)) = T(x,T((y \ w) * K(y,z * u),v5)). T(x,T((y \ z) * K(y,u * w),v5)) = T(x,T(T(y,u \ w) \ z,v5)). T(x,T(T(y,z * u) \ w,v5)) = T(x,T(T(y,z \ u) \ w,v5)). T(x,T(T(y,z \ u) \ w,v5)) = T(x,T(T(y,z * u) \ w,v5)). K(x,y * (T(z,K(u,w * v5)) * K(w * v5,u))) = K(x,y * (K(w \ v5,u) * z)). K(x,T(y,z * (z * u)) * (z \ ((1 / z) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). T(x,y * (T(z,T(u,w * v5)) * T(u,w * v5))) = T(x,y * (T(u,w \ v5) * z)). K(x,K(y \ z,y \ u)) * K(x,(y * z) \ (y * u)) = K(x,(y \ u) / (y \ z)). K(x,y * (K(z * u,w) * v5)) = K(x,y * (K(z \ u,w) * v5)). K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(z * u,w) * v5)). K(x,y * (T(z,u \ w) \ v5)) = K(x,y * (K(u * w,z) * (z \ v5))). K(x,y * (K(z * u,w) * (w \ v5))) = K(x,y * (T(w,z \ u) \ v5)). K(x,y * ((K(z,u \ 1) / u) \ w)) = K(x,y * (K(u * 1,z) * ((1 / u) \ w))). K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * ((K(u,z \ 1) / z) \ w)). K(x,y * (T(z,u * w) \ v5)) = K(x,y * (T(z,u \ w) \ v5)). K(x,y * (T(z,u \ w) \ v5)) = K(x,y * (T(z,u * w) \ v5)). K(x,y * (z \ ((1 / z) \ u))) != w | K(x,y * (z \ ((z \ 1) \ u))) = w. K(x,T(y,z * (z * u)) * (z \ ((z \ 1) \ u))) = K(x,(z \ ((1 / z) \ u)) * y). T(x,y * (T(z,u * w) * v5)) = T(x,y * (T(z,u \ w) * v5)). T(x,y * (T(z,u \ w) * v5)) = T(x,y * (T(z,u * w) * v5)). T(x,y \ (T(z,u \ w) * v5)) = T(x,(y \ 1) * (T(z,u * w) * v5)). T(x,(y \ 1) * (T(z,u * w) * v5)) = T(x,y \ (T(z,u \ w) * v5)). x * K(x,y \ (T(z,u * w) * v5)) = T(x,y \ (T(z,u \ w) * v5)). T(x,y \ (T(z,u * w) * v5)) = T(x,y \ (T(z,u \ w) * v5)). T(x,y \ (T(z,u \ w) * v5)) = T(x,y \ (T(z,u * w) * v5)). T(x,y \ (T(z,u \ w) * v5)) != v6 | T(x,y \ (T(z,u * w) * v5)) = v6. T(x,y \ (T(z,u / w) * v5)) = T(x,y \ (T(z,T(w,u) * u) * v5)). T(x,y \ (T(z,T(u,w) * w) * v5)) = T(x,y \ (T(z,w / u) * v5)). K(x,y \ (T(z,u \ w) * v5)) = K(x,y \ (T(z,u * w) * v5)). K(x,y \ (T(z,y \ (y \ 1)) * u)) != w | K(x,y * (z * ((y * y) \ u))) = w. K(x,y * (z * ((y * y) \ u))) = K(x,y \ (T(z,y * (y \ 1)) * u)). K(x,y \ (T(z,y * (y \ 1)) * u)) = K(x,y * (z * ((y * y) \ u))). T(x,y \ (T(z,u * w) * v5)) = T(x,y \ (T(z,u / w) * v5)). T(x,y \ (T(z,u / w) * v5)) = T(x,y \ (T(z,u * w) * v5)). K(x,y \ (T(z,1) * u)) = K(x,y * (z * ((y * y) \ u))). K(x,y * (z * ((y * y) \ u))) = K(x,y \ (T(z,1) * u)). K(x,y * (z * ((y * y) \ u))) = K(x,y \ (z * u)). K(x,(y \ z) \ (y \ u)) = K(x,(y * z) \ (y * u)). x != K(y,z \ (u * (u * w))) | K(y,L((u \ z) \ (u * w),w,u)) = x. K(x,L((y \ (y * z)) \ (y * u),u,y)) = K(x,(y \ z) \ (y \ (y * u))). K(x,L((y \ (y * z)) \ (y * u),u,y)) = K(x,(y \ z) \ u). K(x,L(y \ (z * u),u,z)) = K(x,(z \ y) \ u). K(x,L(y \ z,u,z / u)) = K(x,((z / u) \ y) \ u). K(x,T(y,z * (z * u)) * w) != v5 | K(x,T(y,u) * w) = v5. K(x,T(y,z) * (u \ ((u \ 1) \ z))) = K(x,(u \ ((1 / u) \ z)) * y). K(x,(y \ ((y \ 1) \ z)) * u) = K(x,(y \ ((1 / y) \ z)) * u). K(x,(y \ ((1 / y) \ z)) * u) = K(x,(y \ ((y \ 1) \ z)) * u). K(x,T((y \ ((1 / (y \ 1)) \ z)) * u,y \ (y \ 1))) = K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))). x != K(y,K(z,K(u,w) / v5)) | K(y,K(v5,z)) = x. K(x,K(y * z,z / u)) = K(x,K(z \ (1 / y),L(z / u,u,y))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) != w | K(x,K(z,(1 / (y \ z)) / u)) = w. K(x,K(y,(1 / (z \ y)) / u)) = K(x,K((z \ y) * u,u / z)). K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). K(x,K(y / z,(z \ u) * y)) != w | K(x,K(u,y / z)) = w. K(x,K(y,z / u)) = K(x,K(y,(1 / (u \ y)) / z)). K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. K(x,K(y,z * u)) = K(x,K(y,z / (y / u))). K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). K(x,K(y,z / (u / (u / w)))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,z / u)) = K(x,K(y,z * (y / u))). K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). K(x,K(y,z / u)) = K(x,K(y,z * (x / u))). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). K(K(x \ y,x) * (z * (y * (1 / x))),u) = K(z * (x \ R(y,1 / x,x)),u). K(K(x,y) * (z * (x * (1 / y))),u) = K(z * (y \ R(x,1 / y,y)),u). K(K(x,y) * (z * (x * (1 / y))),u) != w | K(z * ((1 / y) * x),u) = w. K(x * ((1 / y) * z),u) = K(x * (y \ R(z,1 / y,y)),u). K(x * (y \ R(z,1 / y,y)),u) = K(x * ((1 / y) * z),u). K(x * T(y * (1 / z),z),u) = K(x * ((1 / z) * y),u). K(x * T((y * z) * (1 / y),y),u) = K(x * ((y \ 1) * (T(y,y \ 1) * z)),u). K(x * ((y \ 1) * (T(y,y \ 1) * z)),u) = K(x * T((y * z) * (1 / y),y),u). K(x * ((y \ 1) * (T(y,y \ 1) * z)),u) = K(x * ((z * y) * (1 / y)),u). x != K(y * (z * (1 / u)),w) | K(y * (z * (u \ 1)),w) = x. K(x * ((y * z) * (z \ 1)),u) = K(x * ((z \ 1) * (T(z,z \ 1) * y)),u). K(x * ((y \ 1) * (T(y,y \ 1) * z)),u) = K(x * ((z * y) * (y \ 1)),u). K(x * ((y \ 1) * (T(y,y \ 1) * z)),u) = K(x * R(z,y,y),u). K(x * ((1 / y) * (y * z)),u) = K(x * R(z,y,y),u). K(x * L(y,z,z),u) = K(x * R(y,z,z),u). K(x * R(y,z,z),u) = K(x * L(y,z,z),u). L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). T(x,y / T(T(z \ ((z \ 1) \ u),w),1 / z)) = T(x,y / T((z \ u) / (1 / z),w)). K(x * (((y \ 1) * z) \ K(y \ z,y)),u) = K(x / ((y \ 1) * ((y \ z) * y)),u). T(T(x,K(y,z)),(z * K(u,T(w,v5))) * y) = T(x,y * (z * K(u,w))). x != T(y / z,K(u,(1 / z) \ (y / z))) | T(y / z,K(y,u)) = x. T(x / y,K(x,z)) = (T(x,z) / y) / K(((1 / y) / (x / y)) \ 1,z). (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). K(x,T(y * T(z,u),w)) = K(x,T(y * ((u \ z) * u),w)). K(x,T(y * ((z \ u) * z),w)) = K(x,T(y * T(u,z),w)). K(x,T(y * (z * u),w)) = K(x,T(y * T(u * z,u),w)). K(x,T(y * T(z * u,z),w)) = K(x,T(y * (u * z),w)). K(x,T(y \ T(z * u,z),w)) = K(x,T((y \ 1) * (u * z),w)). K(x,T(y \ T(z * u,z),w)) != v5 | K(x,T(y \ (u * z),w)) = v5. x * (T((y \ 1) \ 1,(y \ 1) * x) \ (y \ 1)) = T(x * (y \ 1),y) / y. x != T(y * (z \ 1),z) / z | (z \ y) * (1 / z) = x. (x \ y) * (1 / x) = y * (T((x \ 1) \ 1,(x \ 1) * y) \ (x \ 1)). x * (T((y \ 1) \ 1,(y \ 1) * x) \ (y \ 1)) = (y \ x) * (1 / y). x * (T(((y \ 1) \ 1) \ 1,((y \ 1) \ 1) * x) \ ((y \ 1) \ 1)) = ((y \ 1) \ x) * y. K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). T(x,T(y,z * T(u,z)) / (u * ((z \ u) / u))) = T(x,(z \ T(u,z \ 1)) \ y). T(x,T(y,z * u) / (z * ((u \ z) / z))) = T(x,(u \ T(z,u \ 1)) \ y). x != K(y,z * K(u \ w,v5)) | K(y,z * K(u * w,v5)) = x. K(x,y * K(((z \ 1) * u) * w,v5)) = K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)). K(x,y * K((z * u) * (z * ((z \ 1) \ w)),v5)) = K(x,y * K(((z \ 1) * u) * w,v5)). T(x,T(y,L(z * (u * u),u,u)) * (u * (u * z))) = T(x,L(z,u,u) * ((u * u) * y)). K(x,(y * ((z / y) \ 1)) \ T(u,(y \ z) \ y)) = K(x,u / (((y \ z) \ 1) * y)). K(x,(y * ((z / y) \ 1)) \ T(u,y * (y / z))) = K(x,u / (((y \ z) \ 1) * y)). K(x,y \ T(z,u * (u / w))) != v5 | K(x,y \ T(z,w)) = v5. K(x,(y * ((z / y) \ 1)) \ T(u,z)) = K(x,u / (((y \ z) \ 1) * y)). K(x,(((y \ z) \ 1) * y) \ T(u,y / (z / y))) = K(x,u / (y * ((z / y) \ 1))). K(x,(((y \ z) \ 1) * y) \ T(u,y * (y / z))) = K(x,u / (y * ((z / y) \ 1))). K(x,(((y \ z) \ 1) * y) \ T(u,z)) = K(x,u / (y * ((z / y) \ 1))). K(x,(y * ((z / y) \ 1)) \ T(u,z)) = K(x,u / (y * ((z / y) \ 1))). K(x,(y * ((z / y) \ 1)) \ T(u,z)) != w | K(x,u / (((y \ z) \ 1) * y)) = w. K(x,y / (((z \ u) \ 1) * z)) = K(x,y / (z * ((u / z) \ 1))). K(x,y / (((z \ u) \ 1) * z)) != w | K(x,(z * ((y / z) \ 1)) \ u) = w. K(x,(y * ((z / y) \ 1)) \ u) = K(x,z / (y * ((u / y) \ 1))). K(x,y / (z * ((u / z) \ 1))) = K(x,(z * ((y / z) \ 1)) \ u). T(x,T(y,z * T(u,w * v5)) * (z * T(u,w * v5))) = T(x,(z * T(u,w \ v5)) * y). K(x,T(y,z * T(u,w * v5)) * (z * T(u,w * v5))) = K(x,(z * T(u,w \ v5)) * y). K(x \ (y * T(z,T(z * ((u \ w) \ 1),v5))),v6) = K(x \ (y * T(z,T(w \ u,v5))),v6). 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(x,T(y,z)) / u) * w != T(K(x,y) / u,K(K(x,y),z)) | K(x,K(y,z)) = w. K(x,K(y,z)) = K(z,(K(x,y) / u) / (u \ 1)). K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). K(x,(y / z) / (z \ 1)) != u | K(x,(z \ 1) \ (z \ y)) = u. K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). x \ y != K(z,(u \ 1) \ (u \ K(w,v5))) | x * K(w,K(v5,z)) = y. (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). K(x,K(y,z)) * (u \ K(x,y)) = u \ K(x,T(y,z)). x * (T(1 / y,((y \ 1) \ 1) * x) \ ((y \ 1) \ 1)) = ((y \ 1) \ x) * y. x * (T(1 / y,y * x) \ ((y \ 1) \ 1)) = ((y \ 1) \ x) * y. x * (T(y \ 1,y * x) \ y) = ((y \ 1) \ x) * y. T(x,(((y \ 1) \ z) * y) \ 1) = T(x,(1 / y) / T(z * y,y \ 1)). T(x,(1 / y) / T(z * y,y \ 1)) = T(x,(((y \ 1) \ z) * y) \ 1). T(x,(1 / y) / T(z * y,y \ 1)) != u | T(x,y \ (((y \ 1) \ z) \ 1)) = u. T(x,y \ (((y \ 1) \ z) \ 1)) = T(x,(1 / y) / T(z * y,y * 1)). T(x,(1 / y) / T(z * y,y * 1)) = T(x,y \ (((y \ 1) \ z) \ 1)). T(x,(1 / y) / T(z * y,y)) = T(x,y \ (((y \ 1) \ z) \ 1)). T(x,y \ (((y \ 1) \ z) \ 1)) = T(x,(1 / y) / T(z * y,y)). K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). K(x,y) * T(z * K(y,T(x,u)),w) = T(K(y,x) * z,w) * K(x,T(y,u)). T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). T(K(x,y) * z,u) * K(y,T(x,w)) != v5 | K(y,T(x,w)) * T(z * K(x,y),u) = v5. K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). K(x,y * K((z * u) * ((z * z) * w),v5)) = K(x,y * K(((z \ 1) * u) * w,v5)). K(x,y * K((z * u) * w,v5)) = K(x,y * K(((z \ 1) * u) * w,v5)). K(x,y * K(((z \ 1) * u) * w,v5)) = K(x,y * K((z * u) * w,v5)). K(x,K(y * ((z \ 1) * u),w) * v5) = K(x,v5 * K((z * u) * y,w)). K(x,K(((y \ 1) * z) * u,w) * v5) = K(x,v5 * K((y * z) * u,w)). K(x,y * K(z,u * ((w \ 1) * v5))) = K(x,y * K((w * v5) * u,z)). K(x,(y \ z) * K(y,u * ((w \ 1) * v5))) != v6 | K(x,T(y,u * ((1 / w) * v5)) \ z) = v6. K(x,T(y,z * ((1 / u) * w)) \ v5) = K(x,(y \ v5) * K((u * w) * z,y)). K(x,T(y,z * ((1 / u) * w)) \ v5) = K(x,T(v5 / T(y,(u * w) * z),y)). K(x,T(y / T(z,(u * w) * v5),z)) = K(x,T(z,v5 * ((1 / u) * w)) \ y). K(x,T(y,(z * u) * w) \ v5) = K(x,T(y,w * ((1 / z) * u)) \ v5). K(x,T(y,z * ((1 / u) * w)) \ v5) = K(x,T(y,(u * w) * z) \ v5). K(x,T(y,z * ((u \ 1) * w)) \ v5) = K(x,T(y,(u * w) * z) \ v5). T(x,T(y,z * (u * u)) * (u * (u * z))) = T(x,L(z,u,u) * ((u * u) * y)). T(x,T(y,z) * (u * (u * z))) = T(x,L(z,u,u) * ((u * u) * y)). T(x,T(y,z) * (u * (u * z))) != w | T(x,(u * (u * z)) * y) = w. T(x,(y * (y * z)) * u) = T(x,L(z,y,y) * ((y * y) * u)). T(x,L(y,z,z) * ((z * z) * u)) = T(x,(z * (z * y)) * u). T(x,(y * T(z,u * w)) * v5) = T(x,(y * T(z,u \ w)) * v5). T(x,(y * T(z,u \ w)) * v5) = T(x,(y * T(z,u * w)) * v5). T(x,(y * T(z,u \ w)) * v5) != v6 | T(x,(y * T(z,u * w)) * v5) = v6. T(x,(y * z) * u) = T(x,(y * T(z,w * w)) * u). T(x,(y * T(z,u * u)) * w) = T(x,(y * z) * w). K(x,(y * T(z,u \ w)) * v5) != v6 | K(x,(y * T(z,u * w)) * v5) = v6. K(x \ (y * T(z,T((u \ w) \ z,v5))),v6) = K(x \ (y * T(z,T(w \ u,v5))),v6). K(x,y \ (z * T(u / (u \ w),(w \ u) * (u * (u / w))))) = K(x,y \ (z * (u * (u / w)))). (T(x,K(y,z)) * K(y,z)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). T(x * K(y,z),K(y,z)) / T(1 / K(y,z),K(y,z) * x) = x * (K(y,z) * K(y,z)). T(x * (y * K(x,z)),K(x,z)) / T(1 / K(x,z),K(x,z) * (x * y)) = (x * y) * (K(x,z) * K(x,z)). T(x,(y \ z) * (y \ z)) = T(x,(y \ T((z \ 1) \ 1,u)) * (y \ T((z \ 1) \ 1,u))). T(x,(y \ T((z \ 1) \ 1,u)) * (y \ T((z \ 1) \ 1,u))) = T(x,(y \ z) * (y \ z)). T(x,(y \ T(z,u)) * (y \ T(z,u))) != w | T(x,(y \ z) * (y \ z)) = w. T(x,(y \ ((z \ 1) \ 1)) * (y \ ((z \ 1) \ 1))) = T(x,(y \ z) * (y \ z)). T(x,(y \ (z \ 1)) * (y \ (z \ 1))) != u | T(x,z \ (y \ ((y * z) \ 1))) = u. T(x,(y \ 1) \ (z \ ((z * (y \ 1)) \ 1))) = T(x,(z \ y) * (z \ y)). T(x,y * (z \ ((z * (y \ 1)) \ 1))) = T(x,(z \ y) * (z \ y)). T(x,((y \ 1) \ 1) * (z \ ((z * (1 / y)) \ 1))) = T(x,(z \ ((y \ 1) \ 1)) * (z \ ((y \ 1) \ 1))). T(x,(y \ ((z \ 1) \ 1)) * (y \ ((z \ 1) \ 1))) = T(x,((z \ 1) \ 1) * (y \ ((y * (1 / z)) \ 1))). x != K(y,K(z,a(u,w,v5))) | a(z,w,K(y,K(v5,u))) = x. a(x,y,K(z,K(y \ u,w))) = K(z,K(x,((y \ u) * (w * y)) / T(w * u,a(w,y,y \ u)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). K(x,(y * z) * u) * a(w,v5,K((y * z) * u,x)) = K(x,L(T(z * y,y) * u,v5,w)). K(x,L(T(y * z,z) * u,w,v5)) != v6 | K(x,L((z * y) * u,w,v5)) = v6. K(x,K(y,((z \ 1) * u) * w)) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). T((1 / K(x,y)) * L(K(x,y),z,u),w * w) = K(x,y) * T(L(K(y,x),z,u),w * w). T((1 / K(x,y)) * L(K(x,y),z,u),w * w) = K(x,y) * T(K(y,L(x,z,u)),w * w). T((1 / K(x,y)) * L(K(x,y),z,u),w * w) = K(x,y) * K(y,L(x,z,u)). T(K(x,y) * L(K(y,x),z,u),w * w) = K(y,x) * K(x,L(y,z,u)). T(K(x,y) * K(y,L(x,z,u)),w * w) = K(y,x) * K(x,L(y,z,u)). T(K(x,y) * K(z,u),w * w) != v5 | K(z,u) * K(x,y) = v5. K(x,L(y,z,u)) * K(y,x) = K(x,y) * K(y,L(x,z,u)). x \ y != K(z,L(u,w,v5)) * K(u,z) | x * (K(z,u) * K(u,L(z,w,v5))) = y. x * (K(x,y) * K(y,L(x,z,u))) = T(x,L(y,z,u)) * K(y,x). T(x,y) * K(y,L(x,z,u)) = T(x,L(y,z,u)) * K(y,x). T(x,L(y,z,u)) * K(y,x) = T(x,y) * K(y,L(x,z,u)). 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,L(y,z,u)) * K(y,x). T(K(x,L(1 / x,y,z)) / x,x) = T(1 / x,L(x,y,z)) * K(x,1 / x). T(1 / x,L(x,y,z)) * K(x,1 / x) = T(K(x,L(1 / x,y,z)) / x,x). T(1 / x,L(x,y,z)) * K(x,x \ 1) = T(K(x,L(1 / x,y,z)) / x,x). T(1 / x,y) * K(x,x \ 1) != z | T(x \ 1,y) = z. T(x \ 1,L(x,y,z)) = T(K(x,L(1 / x,y,z)) / x,x). T(K(x,L(1 / x,y,z)) / x,x) = T(x \ 1,L(x,y,z)). T(K(x,L(x \ 1,y,z)) / x,x) = T(x \ 1,L(x,y,z)). T(K(x,x \ 1) / x,x) = T(x \ 1,L(x,y,z)). T(x \ 1,L(x,y,z)) = T(K(x,x \ 1) / x,x). x != T(K(y,z \ 1) / z,y) | 1 / z = x. 1 / x = T(x \ 1,L(x,y,z)). T(x \ 1,L(x,y,z)) = 1 / x. (L(x,y,z) \ T((x \ 1) * L(x,y,z),u)) \ (1 / x) = K(u,(x \ 1) * L(x,y,z)). K(x,(1 / y) \ (L(y,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). K(x,y * (L(y,z,u) \ w)) = K(x,(y \ L(y,z,u)) \ w). K(x,(y \ L(y,z,u)) \ w) = K(x,y * (L(y,z,u) \ w)). x \ y != K(z,(u \ L(u,w,v5)) \ v6) | x * K(z,u * (L(u,w,v5) \ v6)) = y. x * K(x,y * (L(y,z,u) \ w)) = T(x,(y \ L(y,z,u)) \ w). T(x,y * (L(y,z,u) \ w)) = T(x,(y \ L(y,z,u)) \ w). T(x,(y \ L(y,z,u)) \ w) = T(x,y * (L(y,z,u) \ w)). T(x,(y \ L(y,z,u)) \ w) != v5 | T(x,(y * (L(y,z,u) \ 1)) * w) = v5. T(x,(y * (L(y,z,u) \ 1)) * w) = T(x,y * (L(y,z,u) \ w)). T(x,(L(y,z,u) \ y) * w) = T(x,y * (L(y,z,u) \ w)). T(x,(L(y,z,u) \ y) / w) = T(x,y * (L(y,z,u) \ (w \ 1))). T(x,y * (L(y,z,u) \ (w \ 1))) = T(x,(L(y,z,u) \ y) / w). T(T(x,y * (L(y,z,u) \ w)),(L(y,z,u) \ y) \ (y \ L(y,z,u))) = T(T(x,(L(y,z,u) \ y) \ w),1). x \ y != K(z,(u \ 1) * w) | y * K(u \ w,z) = x. (1 / x) * K(x \ L(x,y,z),u) = L(x,y,z) \ T((x \ 1) * L(x,y,z),u). L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = (1 / x) * K(x \ L(x,y,z),u). L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = (1 / x) * a(z,y,K(u,x)). K(x,T(y,z * (z * (((z \ 1) * u) \ w))) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). K(x * K(y,z / u),w) != v5 | K(x * K(y,u * z),w) = v5. K(K(x,y * (y * K(z,u))) * K(u,(w * (w / x)) * z),v5) = K(K(u,(w * (w / x)) \ z),v5). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). K(x,T(y,((z \ 1) * u) \ w) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). K(x,T(y,(z * T(u,z * z)) * w) * v5) = K(x,T(y,((z \ 1) * u) \ w) * v5). x != K(y,T(z,u \ w) * v5) | K(y,T(z,u * w) * v5) = x. K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,(z * T(u,z * z)) * w) * v5). K(x,T(y,(z * T(u,z * z)) * w) * v5) = K(x,T(y,((z \ 1) * u) * w) * v5). K(x,T(y,(z * u) * w) * v5) = K(x,T(y,((z \ 1) * u) * w) * v5). K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,(z * u) * w) * v5). K(x,T(y,z * (u * w)) * v5) = K(x,T(y,((u \ 1) * w) * z) * v5). K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,w * (z * u)) * v5). K(x,T(y,((z \ 1) * u) * w) * v5) != v6 | K(x,T(y,w * (z * u)) * v5) = v6. K(x,T(y,((z \ 1) * u) * w) * v5) != v6 | K(x,T(y,(z * u) * w) * v5) = v6. T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). T(x,y) \ (T(x,z) * u) != w | K(x,z) * (K(y,x) * u) = w. K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). K(x,T(y,z)) * T(u * K(y,x),w) != v5 | K(x,y) * T(u * K(y,T(x,z)),w) = v5. K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). K(x,y) * T(z,u * K(x,y)) = T(z * K(x,T(y,u)),u). T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). 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). L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,(T(y,z \ u) \ w) * v5) = K(x,T(v5,T(y,z * u) \ w) * (T(y,z * u) \ w)). K(x,T(y,T(z,u * w) \ v5) * (T(z,u * w) \ v5)) = K(x,(T(z,u \ w) \ v5) * y). K(x,(T(y,z * u) \ w) * v5) = K(x,(T(y,z \ u) \ w) * v5). K(x,(T(y,z \ u) \ w) * v5) = K(x,(T(y,z * u) \ w) * v5). K(x,(y \ z) * u) = K(x,(T(y,w * w) \ z) * u). K(x,(T(y,z * z) \ u) * w) = K(x,(y \ u) * w). (x * K(y,(T(z,u * w) \ v5) * v6)) \ x = K((T(z,u \ w) \ v5) * v6,y). K(x,(L(T(y,z),y,y) \ u) * w) = K(x,(T(y,z) \ u) * w). K((T(x,y \ z) \ u) * w,v5) != v6 | K((T(x,y * z) \ u) * w,v5) = v6. K(x,y * (z * (a(z,u,1 / u) * K(u,u \ 1)))) = K(x,y * ((1 / u) * T(z * u,u))). x != (y * K(z,u)) \ (T(y,K(w,v5) * v6) * K(z,u)) | L(K(y,v6 * K(w,v5)),y,v7) = x. L(K(x,y * K(z,u)),x,w) = L(K(x,y * K(u,T(z * K(v5,v6),v7))),x,v8). L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). x != L(y,z,K(u,z * y)) | y = x. K(x,y * K(z,u)) = L(K(x,y * K(u,T(z * K(w,v5),v6))),x,v7). L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). (x * K(y,z * K(u,w))) \ x = K(K(w,u * K(v5,v6)) * z,y). K(K(x,y * K(z,u)) * w,v5) = (v6 * K(v5,w * K(y,x))) \ v6. K(x * K(y,z),u) = K(K(z,y * K(w,v5)) * x,u). K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). K(x * K(y,z),T(u,w)) = K((x * K(y,z)) * K(x,w),u). K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). K(T(x \ y,x) * K(z,u),w) != v5 | K(K(z,u) * (y / x),w) = v5. K(K(x,y) * (z / u),w) = K((u \ z) * K(x,y),T(w,u)). K((x \ y) * K(z,u),T(w,x)) = K(K(z,u) * (y / x),w). T(x,K(y \ (y \ 1),y \ z) * (u / ((y \ 1) * z))) = T(x,u / (y * (z * (y \ (1 / y))))). T(x,K(y \ z,y * y) * (u / ((y \ 1) * z))) = T(x,u / (y * (z * (y \ (1 / y))))). T(x,y / (z * (u * (z \ (1 / z))))) != w | T(x,y / ((z \ 1) * u)) = w. K(x,y * (z * (u * (w \ 1)))) * K(x,K(y,z * (u * (w \ 1)))) = K(x,(z * (u * (1 / w))) * 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)). x != K(K(y * (z / u),w) * v5,v6) | K(K(y * (u \ z),w) * v5,v6) = x. K(K(x * (T(y,z) \ u),w) * v5,v6) = K(v5 * (K(w,(u / T(y,z)) * x) * K(w,K(x,y * u))),v6). K(x * (K(y,(z / T(u,w)) * v5) * K(y,K(v5,u * z))),v6) = K(K(v5 * (T(u,w) \ z),y) * x,v6). K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) * (1 / w)). K(x,(((y \ z) \ z) * u) / w) = K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)). K(x,(K(((y \ z) \ z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) / w). K(x,(K(T(y,z) * u,w) / w) * (T(y,z) * u)) = K(x,(((y \ z) \ z) * u) / w). K(x,T(y,T(z,u) * w) \ (T(z,u) * w)) = K(x,(((z \ u) \ u) * w) / y). K(x,(T(y,z) * u) / w) = K(x,(((y \ z) \ z) * u) / w). K(x,(((y \ z) \ z) * u) / w) = K(x,(T(y,z) * u) / w). K(x,(y * ((z / y) * u)) / w) = K(x,(T(y,z) * ((y \ z) * u)) / w). K(x,(T(y,z) * ((y \ z) * u)) / w) = K(x,(y * ((z / y) * u)) / w). K(x,(y * ((y \ 1) * z)) / u) = K(x,(y * ((1 / y) * z)) / u). K(x,(y * ((1 / y) * z)) / u) = K(x,(y * ((y \ 1) * z)) / u). K(x,(y * ((1 / y) * z)) / u) = K(x,L(z,y,y) / u). K(x,(y * ((1 / y) * z)) / (y * u)) != w | K(x,z / ((y \ 1) \ u)) = w. K(x,y / ((z \ 1) \ u)) = K(x,L(y,z,z) / (z * u)). K(x,L(y,z,z) / (z * u)) = K(x,y / ((z \ 1) \ u)). x != T(y,((z \ 1) \ 1) * u) | T(y,z * u) = x. T(x,y * (z \ ((z * (1 / y)) \ 1))) = T(x,(z \ ((y \ 1) \ 1)) * (z \ ((y \ 1) \ 1))). T(x,(y \ ((z \ 1) \ 1)) * (y \ ((z \ 1) \ 1))) = T(x,z * (y \ ((y * (1 / z)) \ 1))). T(x,(y \ ((z \ 1) \ 1)) * (y \ ((z \ 1) \ 1))) != u | T(x,(y \ z) * (y \ z)) = u. T(x,(y \ z) * (y \ z)) = T(x,z * (y \ ((y * (1 / z)) \ 1))). T(x,y * (z \ ((z * (1 / y)) \ 1))) = T(x,(z \ y) * (z \ y)). K(x,(y * (z * (u \ 1))) * w) = K(x,(y * (z * (1 / u))) * w). K(x,(y * (z * (1 / u))) * w) = K(x,(y * (z * (u \ 1))) * w). K(x,(y * ((z * u) * (1 / u))) * w) != v5 | K(x,(y * T((u * z) * (1 / u),u * z)) * w) = v5. K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * ((u * z) * (z \ 1))) * w). K(x,(y * T((z * u) * (1 / z),z * u)) * w) = K(x,(y * R(u,z,z)) * w). K(x * K(y,(z / T(u,w)) * v5),v6) = K(K(v5 * (T(u,w) \ z),y) * x,v6). K(K(x * (T(y,z) \ u),w) * v5,v6) = K(v5 * K(w,(u / T(y,z)) * x),v6). (T(x,y) \ 1) \ L(K(x * z,u),x,x) = K(z * ((x \ 1) \ 1),u) * T((x \ 1) \ 1,y). (T(x,y) \ 1) \ K(x * z,u) = K(z * ((x \ 1) \ 1),u) * T((x \ 1) \ 1,y). K(x * ((y \ 1) \ 1),z) * T((y \ 1) \ 1,u) = (T(y,u) \ 1) \ K(y * x,z). K(x * y,z) * T((y \ 1) \ 1,u) = (T(y,u) \ 1) \ K(y * x,z). K(x,y) * T((z \ 1) \ 1,u) != w | (T(z,u) \ K(y,x)) \ 1 = w. (T(x,y) \ K(z,u * x)) \ 1 = (T(x,y) \ 1) \ K(x * u,z). (T(x,y) \ K(z,y * x)) \ 1 != u | y \ T(T(x,x \ 1) * y,z) = u. x \ T(T(y,y \ 1) * x,z) = (T(y,x) \ 1) \ K(y * x,z). (T(x,y) \ 1) \ K(x * y,z) = y \ T(T(x,x \ 1) * y,z). T(x \ T(T(y,y \ 1) * x,y),T(y,x) \ z) = T(x \ T(y * x,T(y,x)),z * T(y,x)). T(x \ (y * ((y \ x) * y)),T(y,x) \ z) = T(x \ T(y * x,T(y,x)),z * T(y,x)). T(x \ T(y * x,T(y,x)),z * T(y,x)) = T(x \ (y * ((y \ x) * y)),T(y,x) \ z). T(x \ T(y * x,T(y,x)),z * T(y,x)) = T(L(y,y \ x,y),T(y,x) \ z). T(L(x,x \ y,x),T(x,y) \ z) = T(y \ T(x * y,T(x,y)),z * T(x,y)). T(L(x,x * y,x),T(x,y) \ z) = T(y \ T(x * y,T(x,y)),z * T(x,y)). L(T(x,T(x,y) \ z),x * y,x) = T(y \ T(x * y,T(x,y)),z * T(x,y)). T(x \ T(y * x,T(y,x)),z * T(y,x)) = L(T(y,T(y,x) \ z),y * x,y). T(x \ T(y * x,T(y,x)),z * T(y,x)) = L(T(y,y \ z),y * x,y). T(x \ T(y * x,y),z * T(y,x)) = L(T(y,y \ z),y * x,y). T(R(x,y,x),z * T(x,y)) = L(T(x,x \ z),x * y,x). R(T(x,y * T(x,z)),z,x) = L(T(x,x \ y),x * z,x). R(T(x,x * y),z,x) = L(T(x,x \ y),x * z,x). L(T(x,x \ y),x * z,x) = R(T(x,x * y),z,x). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) != u | a(y \ x,z,y \ x) = u. a(x \ y,z,x \ y) = a((y \ x) \ 1,z,(y \ x) \ 1). a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). K(x,K(T(y,z) / u,w)) * K(w,(u \ T(y * K(u,y),z)) * x) = K(w,x * (T(y,z) / u)). K(x,(T(y,z) / u) * w) = K(x,(u \ T(y * K(u,y),z)) * w). K(x,(y \ T(z * K(y,z),u)) * w) = K(x,(T(z,u) / y) * 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). T(T(x,K(y,z \ u)),(z * (u * (z \ (1 / z)))) \ y) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(T(x,K(y,z * u)),(z * (u * (z \ (1 / z)))) \ y) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(T(x,K(y,z * u)),z * ((z \ 1) \ ((z * u) \ y))) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(T(x,K(y,z * u)),z * (z * ((z * u) \ y))) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(x,y * ((z * u) \ (z * z))) = T(x,y / T((z \ 1) * u,z \ (z \ 1))). T(x,y / T((z \ 1) * u,z \ (z \ 1))) = T(x,y * ((z * u) \ (z * z))). T(x,y / (z * (u * (z \ (1 / z))))) = T(x,y * ((z * u) \ (z * z))). T(x,y / ((z \ 1) * u)) = T(x,y * ((z * u) \ (z * z))). T(x,y * ((z * u) \ (z * z))) = T(x,y / ((z \ 1) * u)). T(T(x,K(y,(z * u) \ (z * z))),((z * u) \ (z * z)) * y) = T(x,y / ((z \ 1) * u)). T(x,y * (((z * (u / z)) \ w) \ (K(z \ u,z) * K(z \ u,z)))) = T(x,y / ((K(z \ u,z) \ 1) * (u \ w))). T(T(x,K(y,z \ u)),((u * z) \ (u * u)) * y) = T(x,y / ((u \ 1) * z)). T(T(x,K(y,z * u)),((u * z) \ (u * u)) * y) = T(x,y / ((u \ 1) * z)). T(x,(y \ (z * z)) * u) != w | T(x,z * (z * (y \ u))) = w. T(T(x,K(y,z * u)),u * (u * ((u * z) \ y))) = T(x,y / ((u \ 1) * z)). T(x,y * (y * ((y * z) \ u))) != w | T(x,((y \ 1) * z) \ u) = w. T(T(x,K(y,z * u)),((u \ 1) * z) \ y) = T(x,y / ((u \ 1) * z)). T(T(x,K(y * K(z \ 1,u),u * z)),((z \ 1) * u) \ (y * K(z \ 1,u))) = T(x,y / (u * (z \ 1))). (T(x,y) * z) / T(1 / K(x,y),K(x,y) * (x * z)) = (x * z) * (K(x,y) * K(x,y)). (T(x,y) * z) / T(K(y,x),K(x,y) * (x * z)) = (x * z) * (K(x,y) * K(x,y)). (T(x,y) * z) / K(y,T(x,x * z)) = (x * z) * (K(x,y) * K(x,y)). (T(x,y) * z) / K(y,T(x,z)) = (x * z) * (K(x,y) * K(x,y)). (T(x,y) * z) * K(x,T(y,z)) = (x * z) * (K(x,y) * K(x,y)). T(x,y) * (z * K(x,T(y,z))) = (x * z) * (K(x,y) * K(x,y)). T(x,y) * (K(x,y) * z) = (x * z) * (K(x,y) * K(x,y)). (x * y) * (K(x,z) * K(x,z)) = T(x,z) * (K(x,z) * y). x != T(y,z) * (K(y,u) * w) | K(y,z) * (T(y,u) * w) = x. K(x,y) * (T(x,y) * z) = (x * z) * (K(x,y) * K(x,y)). (x * y) * (K(x,z) * K(x,z)) = K(x,z) * (T(x,z) * y). x != K(y,z) * (T(y,z) * u) | T(T(y,z),z) * u = x. T(T(x,y),y) * z = (x * z) * (K(x,y) * K(x,y)). (x * y) * (K(x,z) * K(x,z)) = T(T(x,z),z) * y. x * (y * (K(x,z) * K(x,z))) = T(T(x,z),z) * y. T(x,y * (T(T(z,u),u) * w)) = T(x,y * (z * w)). T(T(x,y * (L(y,z,u) \ w)),L(y,z,u) * (y \ (y \ L(y,z,u)))) = T(T(x,(L(y,z,u) \ y) \ w),1). T(T(x,K(y,z * u)),((u \ 1) * z) \ (y * K(u \ 1,z))) = T(x,y / (z * (u \ 1))). T(T(x,K(y,z * u)),T((z * (u \ 1)) \ y,K(u \ 1,z))) = T(x,y / (z * (u \ 1))). T(T(x,K(y,z * u)),(z * (u \ 1)) \ y) = T(x,y / (z * (u \ 1))). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,T(y \ 1,y \ z) * (y \ u)). x != T(y,T(z,u \ w) * v5) | T(y,T(z,u * w) * v5) = x. T(x,T(y \ 1,y * z) * (y \ u)) = T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,T(y \ 1,y * z) * (y \ u)). T(T(x,K(y,z)),((y / u) / u) * z) = T(x,(K(u,u \ (y / u)) * z) * (u \ (y / u))). T(T(x,K(y,z)),((y / u) / u) * z) = T(x,K(u,u \ (y / u)) * (z * (u \ (y / u)))). T(T(x,K(y,z)),((y / u) / u) * z) != w | T(x,z * ((y / u) / u)) = w. ((x * L(y,z,z)) * ((z * z) * T(u,w))) / ((x * L(y * (z * z),z,z)) * u) = K(u,T(w,x * (z * (z * y)))). K(x,T((y \ (y \ z)) * u,y \ (y \ 1))) = K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))). K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))) = K(x,T((y \ (y \ z)) * u,y \ (y \ 1))). x != K(y,T(z,u \ (u \ 1))) | K(y,z) = x. K(x,(y \ (y \ z)) * u) = K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))). K(x,((y \ 1) \ (((y \ 1) \ 1) \ z)) * (u / (y * y))) = K(x,(y \ (y \ z)) * u). K(x,(y \ ((y \ 1) \ z)) * (u / (y * y))) = K(x,(y \ (y \ z)) * u). K(x,y * (z / (u * u))) != w | K(x,y * ((u * u) \ z)) = w. K(x,(y \ ((y \ 1) \ z)) * ((y * y) \ u)) = K(x,(y \ (y \ z)) * u). T(x,y / ((z * (u / z)) \ w)) = T(x,y / ((K(z \ u,z) \ 1) * (u \ w))). T(x,y / ((K(z \ u,z) \ 1) * (u \ w))) = T(x,y / ((z * (u / z)) \ w)). T(x,y / (K(z,z \ u) * (u \ w))) = T(x,y / ((z * (u / z)) \ w)). T(x,y / (((z \ u) * z) \ w)) = T(x,y / ((z * (u / z)) \ w)). ((x * L(y,z,z)) * ((z * z) * T(u,w))) / ((x * L(y,z,z)) * ((z * z) * u)) = K(u,T(w,x * (z * (z * y)))). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(x \ ((x \ 1) * y),x \ 1). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K((x * x) \ y,x \ 1). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(x \ (x \ y),x \ 1). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = (y / (1 / x)) * K(y * (x * x),x \ 1). x != (y / (z / u)) * K(w,u \ z) | y / T(z / u,T(w,u)) = x. x / T(1 / y,T(x * (y * y),y)) = (T(y \ 1,y \ x) \ (x / (1 / y))) * T(y \ 1,y \ x). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(1 / x,T(y * (x * x),x)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(1 / x,x * (y * x)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,x \ (y * x)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,T(y,x)). (T(x \ 1,x \ y) \ (y / (1 / x))) * T(x \ 1,x \ y) = y / T(x \ 1,y). x != T(y,T(z,u * u) * w) | T(y,z * w) = x. T(x,y * ((z / u) \ w)) = T(x,(y * K(u / z,y)) * (T(z / u,y * K(u / z,y)) \ w)). T(x,(y * K(z / u,y)) * (T(u / z,y * K(z / u,y)) \ w)) = T(x,y * ((u / z) \ w)). T(x,(y * K(z / u,y)) * (T(u / z,T(y,z / u)) \ w)) = T(x,y * ((u / z) \ w)). T(x,y * (T(z,T(u,w)) \ v5)) != v6 | T(x,y * (T(z,u) \ v5)) = v6. T(x,(y * K(z / u,y)) * (T(u / z,y) \ w)) = T(x,y * ((u / z) \ w)). T(x,y * (K(z / u,y) * (T(u / z,y) \ w))) = T(x,y * ((u / z) \ w)). T(x,T(y,z / u) * (T(u / z,y) \ w)) = T(x,y * ((u / z) \ w)). T(x,T(y,z / u) * w) != v5 | T(x,T(y,u * z) * w) = v5. T(x,T(y,z * u) * (T(z / u,y) \ w)) = T(x,y * ((z / u) \ w)). a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | K(y * z,y) = x. K(x * y,x) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) != u | K(y \ z,y) = u. K(x \ y,x) = K((1 / ((z * x) \ z)) \ y,x). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). K((((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) \ y),z) != u | K(x * ((z * y) \ y),z) = u. K(x * ((y * z) \ z),y) = K(y \ x,y). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). x != K(y * (z \ u),u \ z) | 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 \ y != K((z \ u) \ w,z \ u) | x * K(w * (z / u),z \ u) = y. x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x * K(x * (y / z),y \ z) != u | ((1 / (z \ y)) \ x) * (1 / (z \ y)) = u. ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). K(x,T(y,z \ (x \ u))) != w | K(x,T(y,z \ u)) = w. K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). K(x,x \ y) = K(x,y * ((x * z) \ z)). K(x,y * ((x * z) \ z)) = K(x,x \ y). K(x,y * ((x * z) \ z)) != u | K(x,R(x \ 1,x,z) * y) = u. K(x,R(x \ 1,x,y) * z) = K(x,x \ z). K(x,R(x \ 1,x,y) * z) != u | K(x,z * (y / (x * y))) = u. K(x,y * (z / (x * z))) = K(x,x \ y). K(x \ y,z * (x / ((x \ y) * x))) != u | K(x \ y,z * (x / y)) = u. 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 \ y != K(z \ u,(z \ u) \ w) | x * K(z \ u,w * (z / u)) = y. x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x * K(y \ z,x * (y / z)) != u | (1 / (z \ y)) * (x / (1 / (z \ y))) = u. (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K(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(1 / (1 / L(x,y,z)),u),1 / x) != w | T(L(x,y,z),u) = w. T(L(x,y,z),T(u,(w / v5) * v6)) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). K(x,y * y) * (((x * T(y * y,z)) \ u) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). K(x,y * y) * ((T(y * y,z) \ (x \ u)) * T(y * y,z)) = K(y * y,z) * (((T(y * y,z) * x) \ u) * (y * y)). 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,(((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))) | a(u,w,K(v5,K(y,z))) * K(u,K(y,z)) = x. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = L(K(x,K(u,w)),K(v5,v6) * y,z). L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). 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). a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) != v6 | a(x,y,K((1 / z) / u,K(w,v5))) = v6. a(x,y,K((1 / z) / y,K(u,w))) = a(x,1 / z,K(u,K(w,y * z))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). x != K(y,K(z,u)) * K(y,K(z,w)) | K(K(z,u) * K(w,z),y) = x. K(K(x,L(y,z,u)) * K(y,x),w) = a(u,K(v5,z) / (K(y,x) * z),K(K(x,y),w)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | a(u,z,K(v5,K(w,y))) = x. a(x,y,K(z,K(u,w))) = a(w,K(v5,y) / (K(x,u) * y),K(K(u,x),z)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). a(x,1 / y,K(z,K(u,w))) != v5 | a(w,u / y,K(z,K(u,x))) = v5. a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. K(x,(y * (z * T(u,w \ v5))) / (z * T(u,w \ v5))) = K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))). K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,(y * (z * T(u,w \ v5))) / (z * T(u,w \ v5))). K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) = K(x,y). K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) * (1 / (y * T(z,u \ w)))). K(x,T(y,z * T(u,w * v5)) / (z * T(u,w \ v5))) = K(x,((z * T(u,w \ v5)) \ (y * ((z * T(u,w \ v5)) \ 1))) * (z * T(u,w * v5))). K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) / (y * T(z,u \ w))). K(1 / x,x) \ ((1 / L(x,y,z)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). K(x,1 / x) * ((T(L(x,y,z),u) \ 1) * L(x,y,z)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). x != K(y,1 / y) * (z * L(y,u,w)) | z * L((y \ 1) \ 1,u,w) = x. (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (1 / (1 / (1 / L(y,z,u))))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). x != K(y,1 / (z / (z / (1 / u)))) | K(y,T(u,z)) = x. K(x,T(L(y,z,u),1)) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | K(w,L(y,z,u)) = x. K(T(x,(y / z) * u),L(w,v5,v6)) = K(T(x,u / (z / T(y,v7))),L(w,v5,v6)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(x,T(L(y,z,u),(w / v5) * v6)) = K(T(x,v6 / (v5 / T(w,v7))),L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(y,z / (u / T(w,v5)))) != v6 | K(x,T(y,z / (u / w))) = v6. K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) != v8 | K(x,T(y,w / (v5 / v6))) = v8. K(x,T(y,z / (u / w))) = K(x,T(L(y,v5,T(x,v6)),(T(w,v7) / u) * z)). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(L(y,z,T(x,u)),w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). K(x,T(y,z / (u / w))) != v5 | K(x,T(y,z / (w \ u))) = v5. K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,y) * z != K(x,T(y,u / (w \ v5))) | K(x,K(y,u / (v5 / w))) = z. K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,z / u)) = K(x,K(y,((w / u) / w) * z)). K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). K(x,K(y,z / ((u * w) / u))) != v5 | K(x,K(y,z / w)) = v5. K(x,K(y,z / u)) = K(x,K(y,(w / (w * u)) * z)). K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K(y,z * (u / (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) / (z * (z \ u)))) = v5. K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K((u / w) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). K(x,K(y / z,L(u,w,v5))) = K(x,K(((v6 / z) / v6) * y,L(u,w,v5))). K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,(w * u) / v5)) = x. K(x,K(y,(z * u) / w)) = K(x,K((z / w) * u,L(y,w,z))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. K(x,K(y * ((z / u) / z),L(w,v5,v6))) != v7 | K(x,K(y / u,L(w,v5,v6))) = v7. K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). 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,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 * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). K(x,K(y,z * ((u / w) / v5))) != v6 | K(x,K(y,((w \ u) / v5) * z)) = v6. K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z * ((u / (u / w)) / v5))) != v6 | K(x,K(y,(w / v5) * z)) = v6. K(x,K(y,(z / u) * w)) = K(x,K(y,(u * (1 / z)) / w)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / (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 / ((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 * 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 * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). 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 * 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 * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). x != K(y,K(z,u * (1 / w))) | K(y,K(z,u / w)) = x. K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,(w * ((1 / u) * z)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). 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))). x != K(y,K(z,a(u,w,v5))) | a(y,w,K(z,K(u,v5))) = x. a(x,1 / y,K(z,K(u,w))) = K(x,K(z,((y / w) / u) * ((u * (1 / y)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). x != a(y,1 / z,K(u,K(w,v5))) | a(v5,z,K(u,K(w,y))) = x. a(x,y,K(z,K(u,w))) = K(w,K(z,((y / x) / u) * ((u * (1 / y)) * x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,z * (((1 / u) * w) * v5))) != v6 | K(x,K(y,z * ((w / u) * v5))) = v6. K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / 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,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. a(x,y,K(z,K(u,w / y))) = a(w,z \ y,K(x,K(u,y))). a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(w,v5))) != v6 | a(x,z / y,K(u,K(w,v5))) = v6. a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). a(x,y,K(z,K(u,w))) = a(z,x,K(y,K(w,u / x))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) != v5 | a(y,u,K(x,K(w,u / z))) = v5. a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). a(x,y,K(z,K(u,w / y))) != v5 | a(y,z,K(w,K(x,u))) = v5. a(x,y,K(z,K(u,w))) = a(z,u,K(y,K(x,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). x != K(y,K((z / u) * w,L(v5,z,u))) | K(y,K(v5,(w / u) * z)) = x. K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,u,w))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,((z / (u * w)) * (u * (w * v5))) / z)) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). x != K(y,K(z,(u * w) / v5)) | K(y,K(z,(u / v5) * w)) = x. K(x,K(y,((z / (u * w)) / z) * (u * (w * v5)))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). x != K(y,K(z,((u / w) / u) * v5)) | K(y,K(z,v5 / w)) = x. K(x,K(y,(z * (u * w)) / (z * u))) = K(x,K(y,L(L(w,u,z),v5 / (z * u),z * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). x != K(y,K(z,T(u,w))) | K(y,K(z,u)) = x. K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(1 / z,z,u))). K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). K(x,K(y,z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,z)). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). K(x,K(L(y,z,u),w)) = K(x,K(y,w)). x \ y != K(z,K(u,L(w,v5,v6))) | x * K(z,K(u,w)) = y. x * K(x,K(y,z)) = T(x,K(y,L(z,u,w))). T(x,K(y,L(z,u,w))) = x * K(x,K(y,z)). K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) \ w)). K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). T(x / T(K(y,L(z,u,w)),v5),K(K(y,L(z,u,w)),v5)) = K(v5,K(y,z)) * (x / K(y,L(z,u,w))). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. K(x,K(y,R(z,u,w))) = K(x,K(y,z)). K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). x * L(K(y,K(z,u)),w,v5) != K(y,K(z,u)) | 1 = x. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. x * K(y,K(z,u)) != L(K(y,K(z,u)),w,v5) | 1 = x. 1 = a(K(x,y),z,K(u,w)). a(K(x,y),z,K(u,w)) = 1. K(x,K(y,z)) * u != L(K(x,K(y,z)),w,v5) | 1 = u. 1 = a(x,y,K(K(z,u),w)). a(x,y,K(K(z,u),w)) = 1. x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (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,y),z,K(u,w)) = K(x,y). K(a(x,y,K(z,u)),w) = 1. L(x,y,K(z,K(u,w))) = x. T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). L(x,y,T(z,K(u,w))) = L(x,y,z). x \ (K(y,K(z,u)) * w) = (K(y,K(z,u)) \ x) \ w. (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). 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 * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). K(L(x,y,K(z,u)),w) = K(x,w). K(x,L(y,z,K(u,w))) = K(x,y). L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) != v5 | K(x,(K(w,u) * z) / (K(w,u) * y)) = v5. K(x,(K(y,z) * u) / (K(y,z) * w)) = K(x,T(w \ u,K(z,y) \ w)). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * y)). L(K(x,(y \ z) \ u),y \ z,y) != w | K(x,z \ (y * u)) = w. K(x,y \ (K(z,u) * w)) = K(x,(K(z,u) \ y) \ w). K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). L(K((K(x,y) * z) \ u,w),u,K(y,x)) != v5 | K(z \ (K(y,x) * u),w) = v5. K(x \ (K(y,z) * u),w) = K((K(z,y) * x) \ u,w). K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). x \ y != L(K(z,u),w,K(v5,v6)) | x * K(z,u) = y. (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). L(K(x,y),z,u) = L(L(K(x,y),z,u),w,K(v5,v6)). L(L(K(x,y),z,u),w,K(v5,v6)) = L(K(x,y),z,u). L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). K(x,L((y * (z * (u * K(w,u)))) \ v5,y * (z * u),K(w,L(u,z,y)))) != v6 | K(x,T(y * (z * u),K(w,L(u,z,y))) \ (K(w,L(u,z,y)) \ v5)) = v6. K(x,T(y * (z * u),K(w,L(u,z,y))) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). L(x,y,z * K(u,w)) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). L(x,y,T(z,T(u,w))) = L(x,y,T(z,u)). L(x,y,z * (u * K(z,w))) = L(x,y,T(z,w) * u). K(x,K(y,z)) * ((u / T(y,L(x,w,v5))) / (u / y)) = T(K(x,L(y,w,v5)),z) * K(u / y,K(x,L(y,w,v5))). T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * ((v5 / T(y,L(x,z,u))) / (v5 / y)). K(x,y) * K(x,K(y,z)) = T(K(x,y),R(z,u,w)). T(K(x,y),R(z,u,w)) = K(x,y) * K(x,K(y,z)). T(x,a(y,z,K(u,w))) = x. x \ y != T(a(z,u,K(w,v5)),v6) | x * a(z,u,K(w,v5)) = y. x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. T(x,K(y,a(z,u,w))) = x. T(x,a(K(y,z),u,w)) = x. T(x,K(a(y,z,u),w)) = x. T(x,a(y,z,u) * w) = T(x,w * a(y,z,u)). T(x,y \ a(z,u,w)) = T(x,a(z,u,w) / y). T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)). K(x,T(y,a(z,u,w))) = K(x,y). T(x,T(a(y,z,u),w)) = T(x,a(y,z,u)). T(x,T(y,a(z,u,w))) = T(x,y). T(x,y) != z | T(x,T(y,a(u,w,v5))) = z. T(x,T(y,a(z,u,w))) != v5 | T(x,y) = v5. T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) * y) = v5. T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. T(x,K(y,L(z,u,w) \ z)) = x. x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). (a(K(x,y),z,u) \ w) * a(K(x,y),z,u) = w. K(a(x,y,z),u) * (w \ 1) = w \ a(x,y,K(z,u)). K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). a(x,y,z) * K(u,w) = K(u,w) * a(x,y,z). K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. K(a(x,y,z) * u,w) != v5 | K(u * a(x,y,z),w) = v5. K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. K(x,y) * (a(z,u,w) \ 1) = a(z,u,w) \ K(x,y). T(x,T(y,a(z,u,w))) != x * v5 | K(x,y) = v5. T(x,K(y,z \ L(z,u,w))) = x. T(x,(L(y,z,u) \ y) / w) != v5 | T(x,w \ (L(y,z,u) \ y)) = v5. T(x,(y \ L(y,z,u)) * w) = T(x,w * (y \ L(y,z,u))). T(x,y \ (z \ L(z,u,w))) = T(x,(z \ L(z,u,w)) / y). T(x,(y \ L(y,z,u)) / w) = T(x,w \ (y \ L(y,z,u))). T(x,(y \ L(y,z,u)) / w) != v5 | T(x,w \ (y \ L(y,z,u))) = v5. K(x,y \ (L(K(z,u),w,v5) * v6)) = K(x,(L(K(z,u),w,v5) \ y) \ v6). K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). x \ y != L(K(z,u),w,L(K(v5,v6),v7,v8)) | x * K(z,u) = y. (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). K(x \ (T(y,z) \ u),w) = K((T(y,z) * x) \ u,L(w,x,y)). K((T(x,y) * z) \ u,L(w,z,x)) = K(z \ (T(x,y) \ u),w). K(x \ (T(y,z) * u),w) = K((T(y,z) \ x) \ u,L(w,x,y)). K((T(x,y) \ z) \ u,L(w,z,x)) = K(z \ (T(x,y) * u),w). K((x / y) \ (T(x,z) \ u),L(w,x / y,T(x,z))) != v5 | K((x * (T(x,z) / y)) \ u,w) = v5. K((x * (T(x,y) / z)) \ u,w) = K((x / z) \ (T(x,y) \ u),L(w,x / z,x)). K((x / y) \ (T(x,z) \ u),L(w,x / y,x)) = K((x * (T(x,z) / y)) \ u,w). K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). K(x,L(y,1 / z,T(u,w))) = K(x,L(y,z,u)). L(x,y,T(z / u,z)) != w | L(x,y,u \ z) = w. L(x,y,z \ T(u,w)) = L(x,y,T(T(u,w) / z,u)). L(x,y,T(T(z,u) / w,z)) = L(x,y,w \ T(z,u)). K(x,y / a(z,u,w)) != v5 | K(x,a(z,u,w) \ y) = v5. 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,L(z,u,w))) != v5 | T(x,K(y,z)) = v5. T(x,K(y,L(z / u,w,v5))) = x * K(x,K(y,u \ z)). T(x,K(y,L(z,u,w))) != v5 | T(x,L(K(y,z),u,w)) = v5. T(x,L(K(y,z),u,w)) = T(x,K(y,z)). T(x * (y * K(z,u)),K(z,L(u,y,x))) != w | ((x * (y * K(z,u))) \ (x * y)) \ (x * y) = w. ((x * (y * K(z,u))) \ (x * y)) \ (x * y) = T(x * (y * K(z,u)),K(z,u)). T(x * (y * K(z,u)),K(z,u)) = ((x * (y * K(z,u))) \ (x * y)) \ (x * y). T(x,K(y,z \ (u * w))) = T(x,K(y,(u \ z) \ w)). T(x,K(y,(z \ u) \ w)) = T(x,K(y,u \ (z * w))). L(K(x,y),z,u) \ w = T(w / L(K(x,y),z,u),K(x,y)). T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). x != L(y,L(z,u,w),w * u) | (w * (u * z)) \ ((w * u) * (L(z,u,w) * y)) = x. (x * (K(y,z) * u)) \ ((x * K(y,z)) * (L(u,K(y,z),x) * w)) = L(w,L(u,K(y,z),x),K(y,z) * x). L(x,y,K(z,u * u) * (w * v5)) = L(x,y,w * (v5 * K(z,u * u))). 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. 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)) * (1 / w) != v5 | a(x,y,K(z,u)) / w = v5. a(x,y,K(z,u)) / w = (1 / w) * a(x,y,K(z,u)). (1 / x) * a(y,z,K(u,w)) = a(y,z,K(u,w)) / x. K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). x * y != T(z,u / a(w,v5,v6)) | T(z,a(w,v5,v6) \ u) / y = x. T(x,a(y,z,u) \ w) / x = K(x,w / a(y,z,u)). K(x / a(y,z,u),w) = T(w,a(y,z,u) \ x) \ w. T(x,a(y,z,u) \ w) \ x = K(w / a(y,z,u),x). a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. x * a(K(y,z),u,w) = a(K(z,y),u,w) \ x. a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). (K(x,y) * a(z,u,w)) \ y = K(y,x) * (a(z,u,w) \ y). K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,L(y,1 / z,u)) = K(x,L(y,z,u)). K(x,L(y,z,u)) = K(x,L(y,z \ 1,u)). K(x,L(y,z \ 1,u)) = K(x,L(y,z,u)). T(x,K(y,(z * u) \ w)) != v5 | T(x,K(y,u \ (z \ w))) = v5. x / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)). (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. x \ y != K(z,a(u,w,v5)) * v6 | x * (v6 * a(z,w,K(v5,u))) = y. x * (y * a(x,z,K(u,w))) = T(x,a(w,z,u)) * y. x / (x * a(y,z,K(u,w / v5))) = a(T(v5 \ w,w),z,K(u,y)). a(T(x \ y,y),z,K(u,w)) = v5 / (v5 * a(w,z,K(u,y / x))). K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). T(K(x,y),z) = T(K(x,y),R(z,u,w)). T(K(x,y),R(z,u,w)) = T(K(x,y),z). T(x,R(y,z,u)) != w | T(x,L(y,z,u)) = w. T(K(x,y),L(z,u,w)) = T(K(x,y),z). K(x,T(y,L(z,u,w))) = T(K(x,y),z). K(x,T(y,z)) = K(x,T(y,L(z,u,w))). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). x \ y != K(z,T(u,L(w,v5,v6))) | x * K(z,T(u,w)) = y. x * K(x,T(y,z)) = T(x,T(y,L(z,u,w))). T(x,T(y,L(z,u,w))) = x * K(x,T(y,z)). K(x,T(y,(z * u) \ w)) = K(x,T(y,u \ (z \ w))). L(x,y,z) * K(u,T(w,x)) != v5 | K(u,w) * L(x,y,z) = v5. K(x * L(y,z,u),T(w,y)) != v5 | K(L(y,z,u) * x,w) = v5. K(x,T(y,R(z,u,w))) = K(x,T(y,z)). K(R(x,y,z) * u,w) = K(u * R(x,y,z),T(w,x)). K(x * R(y,z,u),T(w,y)) = K(R(y,z,u) * x,w). K(x * R(y,z,u),T(w,y)) != v5 | K(R(y,z,u) * x,w) = v5. T(x,T(y,L(z,u,w))) != v5 | T(x,T(y,z)) = v5. K(x,K(y,(z \ u) * w)) = K(x,K(y,u \ (z * w))). K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) * w)). K(x,K(y,z)) * (u * w) = u * (w * K(y,K(x,z))). 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 * v5)) = u * (w * (v5 * K(x,K(y,z)))). x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). x != K(y,K(z,u)) * (w * v5) | w * (v5 * K(y,K(z,u))) = x. x * (y * K(z,K(u,w))) = (K(z,K(u,w)) * x) * y. (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). (T(x,K(y,z)) \ u) * w = K(x,K(y,z)) * ((x \ u) * w). K(x,K(y,z)) * ((x \ u) * w) = (T(x,K(y,z)) \ u) * w. (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). K((T(x,y) / z) \ u,w) = K((x / z) \ (K(y,x) * u),w). K((x / y) \ (K(z,x) * u),w) = K((T(x,z) / y) \ u,w). K(x,y) * (K(z,u) * w) = (K(x,y) * w) * K(z,T(u,w)). (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). (x * K(y,z)) * K(u,w) = K(y,T(z,x)) * (x * K(u,w)). K(x,T(y,z)) * (z * K(u,w)) = (z * K(x,y)) * K(u,w). (K(x,y) / z) * K(u,w) = K(x,y) * ((1 / z) * K(u,w)). K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). K(x,(y * K(z,u)) \ w) = K(x,y \ (K(u,z) * w)). L(x,y,z * (u * K(z,w))) != v5 | L(x,y,z * (K(w,z) * u)) = v5. L(x,y,z * (K(u,z) * w)) = L(x,y,T(z,u) * w). a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). K(x,y) * (z \ L(z,u,u)) = a(u,u,z) \ K(x,y). L(x,y,T(T(z,u \ 1) / u,z)) != w | L(x,y,z / u) = w. L(x,y,z / u) = L(x,y,u \ T(z,u \ 1)). L(x,y,z \ T(u,z \ 1)) = L(x,y,u / z). L(x,y,z \ T(u,z \ 1)) != w | L(x,y,z \ T(u,z)) = w. L(x,y,z \ T(u,z)) = L(x,y,u / z). L(x,y,T(z,u) \ u) = L(x,y,u / z). L(x,y,(z \ u) \ z) = L(x,y,z / (u / z)). L(x,y,z / (u / z)) = L(x,y,(z \ u) \ z). L(x,y,y / z) != u | L(x,y,z \ y) = u. L(x,y,(z / y) \ y) = L(x,y,(y \ z) \ y). L(x,y \ z,y / (z / y)) != u | L(x,y \ z,(z / y) \ y) = u. L(x,y \ z,(z / y) \ y) = L(x,y \ z,(y \ z) \ y). T(x,K(y,(z \ u) * w)) = T(x,K(y,u \ (z * w))). T(x,K(y,z \ (u * w))) = T(x,K(y,(u \ z) * w)). K(x,(L(1 / y,z,1 / y) * a(u,w,K(v5,v6))) * v7) = K(x,(a(u,w,K(v5,v6)) / y) * v7). x * (y * a(z,u,K(x,w))) = T(x,a(z,u,w)) * y. 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(R(x,y,z),T(u,w)) = K(K(w,R(x,y,z)) * R(x,y,z),T(u,x)). K(K(x,R(y,z,u)) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). K((x \ y) * R(x,z,z),T(u,x)) = K((y / x) * R(x,z,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)) * (u * w) != u * v5 | w * K(y,K(x,z)) = v5. K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. K(x,y * (T(z,T(u,w)) * v5)) = K(x,y * (T(z,u) * v5)). K(x,y * (z / T(u,K(w,v5)))) = K(x,y * (z / u)). x != K(y,K(z,u)) * (w * v5) | w * (K(y,K(z,u)) * v5) = x. x * (K(y,K(z,u)) * w) = (x * K(y,K(z,u))) * w. (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). K(x,(T(y,z) \ u) \ w) = K(x,(y \ u) \ (K(z,y) \ w)). K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). K((x * K(y,z)) \ u,w) != v5 | K(L((x \ u) * K(z,y),K(y,z),x),w) = v5. K(L((x \ y) * K(z,u),K(u,z),x),w) = K(x \ (K(z,u) * y),w). K((x * K(y,z)) \ (x * u),w) != v5 | K((u * x) / (K(y,z) * x),w) = v5. K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). K((x * K(y,z)) \ (L(K(u,z),w,v5) * v6),v7) = K(x \ ((K(z,y) * L(K(z,u) \ 1,w,v5)) * v6),v7). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). K(x,(y * (z / u)) \ w) = K(x,(y * (u \ z)) \ (K(u \ z,u) * w)). K(x,(y * (z \ u)) \ (K(z \ u,z) * w)) = K(x,(y * (u / z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,y \ (K(z,u) \ w)). L(x,y,((z * u) / z) * w) = L(x,y,T(u,z) * w). L((a(x,x,y) \ K(z,u)) / K(z,u),w,v5) = (K(z,u) * L(y \ L(y,x,x),w,v5)) / K(z,u). (K(x,y) * L(z \ L(z,u,u),w,v5)) / K(x,y) = L((a(u,u,z) \ K(x,y)) / K(x,y),w,v5). K(x,y) * L(z \ L(z,u,u),w,v5) = a(u,u,L(z,w,v5)) \ K(x,y). T(x,K(y,z * (u * w))) = T(x,K(y,(u \ z) * w)). T(x,K(y,(z \ u) * w)) = T(x,K(y,u * (z * w))). K(x,T(y,(z * u) * w)) != v5 | K(x,T(y,u * (z \ w))) = v5. K(x,K(y,(z / u) * w)) = K(x,K(y,z * (u * w))). K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). L(x,K(y,K(z,u)),w) = x. (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. (x * K(y,K(z,u))) \ w = K(K(z,u),y) * (x \ w). L(x,y,((z * u) / z) * w) != v5 | L(x,y,(z * (u / z)) * w) = v5. L(x,y,(z * (u / z)) * w) = L(x,y,T(u,z) * w). L(x,y,(((((z * z) \ u) * w) / u) * (z * z)) * v5) = L(x,y,T(w,(z * z) \ u) * v5). L(x,y,((T(z,u) * w) / z) * v5) = L(x,y,T(K(z,u) * w,z) * v5). T(x,T(y,T(z / u,z) * w)) = T(T(x,y),K(y,z * (u * w))). T(T(x,y),K(y,z * (u * w))) = T(x,T(y,T(z / u,z) * w)). T(x,K(y,((z \ u) \ u) * w)) != v5 | T(x,K(y,z * w)) = v5. T(x,K(y,z * u)) = T(x,K(y,w * ((z \ w) * u))). T(x,K(y,z * ((u \ z) * w))) = T(x,K(y,u * w)). T(T(x,K(y,z * (u * w))),y \ ((u \ z) * w)) = T(x,((u \ z) * w) / y). K(x,K(y / z,(u / w) * v5)) != v6 | K(x,K((z / y) \ 1,v5 * (w \ u))) = v6. K(x,K((y / z) \ 1,u * (w \ v5))) = K(x,K(z / y,v5 * (w * u))). K(x,K(y * z,(y / (z \ 1)) * ((y / (1 / z)) * u))) != w | K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x) = w. K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(x * y,x * ((y \ 1) * ((x / (1 / y)) * z)))). K(x,K(y * z,y * ((z \ 1) * ((y / (1 / z)) * u)))) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). K(x,K(y,z * u)) = K(x,K(y,w * ((z \ w) * u))). K(x,K(y,z * ((u \ z) * w))) = K(x,K(y,u * w)). (x * K(y,K(z,u))) \ w = K(y,K(z,u)) * (x \ w). T(x,K(y,z * (u * w))) = T(x,K(y,(z / u) * w)). T(x,K(y,(z / u) * w)) = T(x,K(y,z * (u * w))). (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). T(x,T(y / (z / u),w)) = T(T(x,y / (z / u)),K(w,z * (u * y))). T(T(x,y / (z / u)),K(w,z * (u * y))) = T(x,T(y / (z / u),w)). K(x,K(y,z)) \ (u \ w) = (K(x,K(y,z)) \ u) \ w. (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). x != K(y,K(z,u)) * w | w * K(y,K(z,u)) = x. (x \ y) * K(z,K(u,w)) = (K(z,K(u,w)) * x) \ y. (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). L(K(x,K(y,z)) * (u \ (y * w)),K(x,K(y,z)) \ u,K(x,K(y,z))) = u \ (T(y,K(x,z)) * w). (K(x,K(y,z)) \ u) \ w != v5 | u \ (K(x,K(y,z)) \ w) = v5. x \ (K(y,K(z,u)) \ w) = K(y,K(z,u)) \ (x \ w). K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). K(x,(K(y,z) \ u) \ w) != v5 | K(x,u \ (K(y,z) * w)) = v5. K(x,y \ (K(z,K(u,w)) * v5)) = K(x,y \ v5). K(x,(y * T(z,K(u,w))) \ v5) = K(x,(y * z) \ v5). K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * 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)). (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). T(x,y \ (K(z,K(u,w)) \ v5)) = T(x,y \ v5). T(x,y \ (T(z,K(u,w)) \ v5)) = T(x,y \ (z \ v5)). K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). K(x,y \ (z * T(u,T(w,v5)))) = K(x,y \ (z * T(u,w))). T(x,y \ ((K(z,u) * (w \ 1)) \ v5)) = T(x,y \ ((w \ K(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(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))). x != K(y,K(z,u * (w / v5))) | K(y,K(z,u * (v5 \ w))) = x. K(x,K(y,z * (u \ w))) = K(x,K(y,(z * u) * w)). K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u \ w))). K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,z * (u \ w))) = v5. K(x,K(y,T(z * u,w) * v5)) = K(x,K(y,z * (u \ v5))). K(x,K(y * z,y * (u \ z))) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). K(x,K(y,(z \ 1) * (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). K(x,y * (T(z,K(u,w)) * v5)) != v6 | K(x,y * (z * v5)) = v6. K(x,y * (T(z,K(u,w)) \ v5)) != v6 | K(x,y * (z \ v5)) = v6. K(x,y * (z \ K(u,T(w,v5)))) != v6 | K(x,y * (z \ K(u,w))) = v6. T(x,(L(y,z,u) \ y) \ (w \ 1)) = T(x,w \ (y \ L(y,z,u))). T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. (x \ y) * T(z,K(x,u)) = (T(x,K(u,z)) \ y) * z. (T(x,K(y,z)) \ u) * z = (x \ u) * T(z,K(x,y)). (x \ R(T(x,K(y,z)),u,x)) * z = (x \ R(x,u,x)) * T(z,K(x,y)). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). 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) \ w) = K(u,z) * (K(x,y) * (z \ w)). K(x,y) * (K(z,u) * (y \ w)) = K(z,u) * (T(y,x) \ w). K(x,T(y,z)) * (z * K(u,w)) != v5 | (z * K(u,w)) * K(x,y) = v5. (x * K(y,z)) * K(u,w) = (x * K(u,w)) * K(y,z). ((x * K(y,z)) * K(u,w)) * K(z,y) = x * K(u,w). ((x * K(y,z)) * K(u,w)) \ (x * K(u,w)) = K(z,y). ((x * K(y,z)) * K(u,w)) \ (x * K(u,w)) != v5 | K(z,y) = v5. K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a((K(x,y) / z) * K(y,x),u,w). K(x,L(y,z \ u,(z \ u) \ z)) = K(x,L(y,z,(1 / (u / z)) \ z)). K(x,y * (z / T(u,z))) != w | K(x,y * (u \ z)) = w. K(x,y * (z \ T(u,w))) = K(x,y * (T(u,w) / T(z,u))). K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ T(z,u))). K(x,y * (z / T(T(u,w),u \ v5))) = K(x,y * (z / T((u \ v5) \ v5,w))). K(x,(y * (T(z,u) \ 1)) \ w) = K(x,((T(z,u) \ 1) * T(y,z)) \ w). K(x,((T(y,z) \ 1) * T(u,y)) \ w) = K(x,(u * (T(y,z) \ 1)) \ w). x != K(y,K(z,u)) | K(y,z) * K(z,T(y,u)) = x. K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,T(z * u,v5) * w)). K(x,K(y,T(z * u,w) * v5)) = K(x,y) * K(y,T(x,z * (u \ v5))). x * y != T(z * K(L(u,w,v5),v6),K(v6,u)) | x \ (L(K(v6,u),w,v5) \ z) = y. K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). (K(x,y) * (K(z,u) * x)) \ (K(z,u) * (T(x,y) * w)) = L(L(w,x,K(z,u)),K(z,u) * x,K(x,y)). K(x,y * z) * ((z * y) \ u) = K(y,z) * (T(y * z,x) \ u). K(x,(T(y,z) / T(u,y)) * w) = K(x,T(w,T(y,z) / T(u,y)) * (u \ T(y,z))). K(x,T(y,T(z,u) / T(w,z)) * (w \ T(z,u))) = K(x,(T(z,u) / T(w,z)) * y). K((T(x,y) * y) \ z,u) != w | K((y * x) \ z,u) = w. K((x * y) \ z,L(u,x,y)) = K(x \ (T(y,x) \ z),u). T(x,K(y,z \ (u \ w))) = T(x,K(y,(u * z) * w)). T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,u * (z \ w))) = v5. K(x,y * ((K(z,u) / w) * v5)) = K(x,y * ((w \ K(z,u)) * v5)). K(x,y * ((K(z,u) * w) * v5)) != v6 | K(x,y * ((w * K(z,u)) * v5)) = v6. x \ (y * x) = T(y,K(z,a(u,w,v5)) * x). T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. T(x,y / T(z,a(u,w,v5))) != v6 | T(x,y / z) = v6. T(x,y * T(a(z,u,w),v5)) != v6 | T(x,y * a(z,u,w)) = v6. T(x,y) = T(x,y * a(z,u,K(w,v5))). T(x,y * a(z,u,K(w,v5))) = T(x,y). T(x,(y * a(z,u,w)) / v5) = T(x,(a(z,u,w) * y) / v5). T(x,(a(y,z,u) * w) / v5) = T(x,(w * a(y,z,u)) / v5). T(x,y) = T(x,a(z,u,K(w,v5)) * y). T(x,a(y,z,K(u,w)) * v5) = T(x,v5). T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) != v6 | L(L(v5,w,u),u * w,K(x,K(y,z))) = v6. K(x * R(y,z,z),u) != w | K(x * L(y,z,z),u) = w. K((x \ y) * L(x,z,z),T(u,x)) = K((y / x) * R(x,z,z),u). T(x,T(y,z * (u * w))) = T(x,T(y,T(z / u,z) * w)). T(x,T(y,T(z / u,z) * w)) = T(x,T(y,z * (u * w))). T(x,T(y,(z \ u) * w)) = T(x,T(y,u * (z * w))). T(x,T(y \ z,z * (y * u))) != w | T(x,T(y \ z,u)) = w. T(x / (y / z),T(z \ y,x)) = T((y / z) \ x,K(y,z)). T(x,L(y,z,u) * (y \ (w \ 1))) = T(x,w \ (y \ L(y,z,u))). K(x,y * z) * ((z * y) \ u) != w | T(z * y,T(x,z)) \ u = w. T(x * y,T(z,x)) \ u = K(y,x) * (T(y * x,z) \ u). K(x,y) * (T(x * y,z) \ u) = T(y * x,T(z,y)) \ u. T(x,T(y * z,T(z,y)) \ u) = T(x,(z * y) \ u). T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). T(x,y / T(z * u,u)) = T(x,(u * z) \ T(y,u * z)). T(x,(y * z) \ T(u,y * z)) = T(x,u / T(z * y,y)). T(x,T(y,z \ 1) \ u) != w | T(x,T(y,z) \ u) = w. T(x,T(y * (z \ 1),z) \ u) = T(x,((z \ 1) * y) \ u). T(x,y / (z * u)) = T(x,y / T(u * z,z)). T(x,y / T(z * u,u)) = T(x,y / (u * z)). T(x,(1 / y) / T(z * y,y)) != u | T(x,y \ (((y \ 1) \ z) \ 1)) = u. T(x,y \ (((y \ 1) \ z) \ 1)) = T(x,(1 / y) / (y * z)). T(x,y / T(z,u)) = T(x,y / (u * (z / u))). T(x,y / (z * (u / z))) = T(x,y / T(u,z)). T(x,T(y,z * u) / (z * ((u \ z) / z))) != w | T(x,(u \ T(z,u \ 1)) \ y) = w. T(x,(y \ T(z,y \ 1)) \ u) = T(x,T(u,z * y) / T(y \ z,z)). T(x,T(y,z * u) / T(u \ z,z)) = T(x,(u \ T(z,u \ 1)) \ y). K(x,y) * T(x * K(y,x),((z \ 1) * u) \ w) = T(x,T(T(u * (z \ 1),z) \ w,y)). T(x,T(T(y * (z \ 1),z) \ u,w)) = K(x,w) * T(x * K(w,x),((z \ 1) * y) \ u). x != T(y,(1 / z) / u) | T(y,z \ (u \ 1)) = x. T(x,y \ ((y * z) \ 1)) = T(x,y \ (((y \ 1) \ z) \ 1)). T(x,y \ (((y \ 1) \ z) \ 1)) = T(x,y \ ((y * z) \ 1)). T(x,(y \ 1) / ((y \ 1) \ z)) = T(x,y \ ((y * z) \ 1)). T(x,(y \ 1) * (z \ (y \ 1))) = T(x,y \ ((y * z) \ 1)). T(x,y \ (z \ (y \ 1))) = T(x,y \ ((y * z) \ 1)). T(x,y \ ((y * z) \ 1)) = T(x,y \ (z \ (y \ 1))). T(x,y \ ((y * z) \ 1)) != u | T(x,(y * z) \ ((y * z) \ z)) = u. T(x,(y * z) \ ((y * z) \ z)) = T(x,y \ (z \ (y \ 1))). T(x,(y * z) \ ((y * z) \ 1)) = T((z * x) / z,y \ (z \ (y \ 1))). T((x * y) / x,z \ (x \ (z \ 1))) = T(y,(z * x) \ ((z * x) \ 1)). T(((x \ 1) * y) / (x \ 1),z \ ((x \ 1) \ (z \ 1))) != u | T(y,(z * (1 / x)) \ ((z * (1 / x)) \ 1)) = u. K(x,y * ((K(z,u) / w) * a(w \ K(z,u),v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). K(L(x,y,y) * (x \ z),u) = K((z / x) * R(x,y,y),u). x != K(y * R(z,u,u),w) | K(y * L(z,u,u),w) = x. K((x / y) * L(y,z,z),u) = K(L(y,z,z) * (y \ x),u). K(L(x,y,y) * (x \ z),u) = K((z / x) * L(x,y,y),u). T(x,y * (L(y,z,u) \ (w \ 1))) != v5 | T(x,w \ (L(y,z,u) \ y)) = v5. K(K(x,L(y,z,u)) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). K(x,y * ((z / u) \ K(u,w))) = K(x,y / (z / T(u,T(w,v5)))). K(x,y / (z / T(u,T(w,v5)))) = K(x,y * ((z / u) \ K(u,w))). x != K(y,z * ((u / w) \ K(w,v5))) | K(y,z / (u / T(w,v5))) = x. K(x,y / (z / T(u,w))) = K(x,y / (z / T(u,T(w,v5)))). K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). K(x,T(T(y,z),z)) = K((z * K(u,w)) \ ((z * x) * K(u,w)),y). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). L(x,y,K(z,u * u) * w) != v5 | L(x,y,w) = v5. L(x,y,z * u) = L(x,y,z * (u * K(w,v5 * v5))). L(x,y,z * (u * K(w,v5 * v5))) = L(x,y,z * u). K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y \ z,(w * u) * y)). T(T(x,y / ((z * (z * u)) / z)),K(w,(z * (z * u)) * (z * y))) = T(x,T(y / (T(z,z * u) * u),w)). x != (y \ R(y,z,y)) * T(u,K(y,z)) | K(y,z) * (u * K(y * z,y)) = x. K(x,y) * (z * K(x * y,x)) = (x \ R(T(x,K(y,z)),y,x)) * z. (x \ R(T(x,K(y,z)),y,x)) * z = K(x,y) * (z * K(x * y,x)). (x \ R(T(x,K(y,z)),y,x)) * z != u | T((x \ R(x,y,x)) * z,K(x,y)) = u. T((x \ R(x,y,x)) * z,K(x,y)) = K(x,y) * (z * K(x * y,x)). T(a(x,y,x) * z,K(x,y)) = K(x,y) * (z * K(x * y,x)). K(x,y) * (z * K(x * y,x)) = T(a(x,y,x) * z,K(x,y)). K(x,K(y,(z * u) \ w)) = K(x,y) * K(y,T(x,z * (u \ w))). K(x,y) * K(y,T(x,z * (u \ w))) = K(x,K(y,(z * u) \ w)). K(x,y) * K(y,T(x,z * ((u \ w) \ v5))) = K(x,K(y,(z * (w / u)) \ v5)). T(x,T(y,z * u) / (z / u)) = T(x,(u \ T(z,u \ 1)) \ y). T(x,(y \ T(z,y \ 1)) \ u) = T(x,T(u,z * y) / (z / y)). x != T(y,T(z,u * w) / (u / w)) | T(y,(u / w) \ z) = x. T(x,(y / z) \ u) = T(x,(z \ T(y,z \ 1)) \ u). T(x,(y \ T(z,y \ 1)) \ u) = T(x,(z / y) \ u). T((x * y) / x,z \ (x \ (z \ 1))) = T(y,x \ (z \ ((z * x) \ 1))). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). x != K(y,K(z,(u * w) * v5)) | K(y,K(z,u * (w \ v5))) = x. K(x,K(y \ z,u * (w \ y))) = K(x,K((y / z) \ 1,w * (u \ y))). K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y \ z,w * (u \ y))). (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). x != K(y,K(z \ u,w)) | K(y,K(z * u,w)) = x. K(x,K(y * z,u * (w \ y))) = K(x,K((y / z) \ 1,w * (u \ y))). K(x,K((y / z) \ 1,u * (w \ y))) = K(x,K(y * z,w * (u \ y))). K(x,K(y / z,u * (w \ z))) = K(x,K(z * y,w * (u \ z))). K(x,K(y * z,u * (w \ z))) = K(x,K(z * y,w * (u \ z))). K(x,K(y * z,u * (y \ z))) != w | K(x,K(u,y * z)) = w. K(x,K(y,z * u)) = K(x,K(u * z,z * (y \ u))). K(x,K(y * z,z * (u \ y))) = K(x,K(u,z * y)). T(x * (y * K(z,u)),K(z,u)) = K(L(u,y,x),z) \ (x * y). K(x,L(y,z,u)) * (u * z) = T(u * (z * K(x,y)),K(x,y)). T(x * (y * K(z,u)),K(z,u)) = K(z,L(u,y,x)) * (x * y). (K(x,y) * z) * T(u,z) = T(u * (z * K(x,y)),K(x,y)). T(x * (y * K(z,u)),K(z,u)) = (K(z,u) * y) * T(x,y). K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. T((K(x,y) * z) * T(u,z),K(x,y)) = u * (z * K(x,y)). T(T(x,K(y,z * u)),y \ ((z \ y) * u)) = T(x,((z \ y) * u) / y). a((K(x,y) \ (1 / K(x,y))) \ z,u,w) = a(T(1 / z,K(x,y)),u,w). a((K(x,y) \ K(y,x)) \ z,u,w) = a(T(1 / z,K(x,y)),u,w). a((K(x,y) * K(x,y)) \ z,u,w) = a(T(1 / z,K(y,x)),u,w). a(x,y,z) = a(T(1 / x,K(u,w)),y,z). a(T(1 / x,K(y,z)),u,w) = a(x,u,w). a(T(1 / x,y),z,u) != w | a(T(x \ 1,y),z,u) = w. a(T(x \ 1,K(y,z)),u,w) = a(x,u,w). a(T(x,K(y,z)),u,w) = a(x,u,w). K(x,K(y,(z * (u / w)) \ v5)) != v6 | K(x,K(y,z * ((w \ u) \ v5))) = v6. K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(T(u,w) / T(z,u)) * y). K(x,(y \ T(z,u)) * w) = K(x,(T(z,u) / T(y,z)) * w). K(x,(T(y,z) / T(u,y)) * w) = K(x,(u \ T(y,z)) * w). K(x,(T(y,z) / T(u,y)) * w) != v5 | K(x,(u \ T(y,z)) * w) = v5. x \ y != K(z,(T(u,w) / T(v5,u)) * v6) | x * K(z,(v5 \ T(u,w)) * v6) = y. x * K(x,(y \ T(z,u)) * w) = T(x,(T(z,u) / T(y,z)) * w). T(x,(T(y,z) / T(u,y)) * w) = x * K(x,(u \ T(y,z)) * w). T(x,(y \ T(z,u)) * w) = T(x,(T(z,u) / T(y,z)) * w). T(x,(T(y,z) / T(u,y)) * w) = T(x,(u \ T(y,z)) * w). T(x,y) \ T(T(x,z),T(y,z)) = K(x,z * a(u,w,K(v5,v6))). K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). x != T(y,z) \ T(T(y,u),T(z,u)) | K(y,u) = x. K(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = K(x,y). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). (x * K(y,z)) \ x = K(z * a(u,w,K(v5,v6)),y). K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). K(x,y * T(z,a(u,w,v5))) = K(x,y * z). x != ((y * K(z,u)) * K(w,v5)) \ (y * K(w,v5)) | K(u,z) = x. K(x,y) = K(x * a(z,u,K(w,v5)),y). K(x * a(y,z,K(u,w)),v5) = K(x,v5). K(T(a(x,y,z),u) \ w,v5) = K(a(x,y,z) \ w,v5). K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). K(x / T(y,a(z,u,w)),v5) = K(x / y,v5). K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). K(a(x,y,K(z,u)) * w,v5) = K(w,v5). (K(x,y) * a(z,u,K(w,v5))) * K(K(y,x),v6) = T(K(x,y) * a(z,u,K(w,v5)),v6). K(x / (a(y,z,u) * w),v5) != v6 | K(x / (w * a(y,z,u)),v5) = v6. K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (T(y,K(z,u)) * w)). K(x,K(y,z) * (T(u,K(y,z)) * w)) = K(x,(u * K(y,z)) * w). K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,K(a(y,z,u),w) * (v5 * v6)). K(x,((K(y,z) * u) * w) * v5) = K(x,K(y,L(z,u,w)) * ((u * w) * v5)). K(x,K(y,L(z,u,w)) * ((u * w) * v5)) = K(x,((K(y,z) * u) * w) * v5). K(x,K(y,K(z,u) * (w * v5))) * K(x,((K(z,u) * w) * v5) * y) = K(x,y * ((K(z,u) * w) * v5)). K(x,K(y,z)) * K(x,K(u,w) * (z * y)) = K(x,y * (K(u,w) * z)). K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). K((x * K(y,z)) * u,w) = K(K(y,z) * (T(x,K(y,z)) * u),w). K(K(x,y) * (T(z,K(x,y)) * u),w) = K((z * K(x,y)) * u,w). K(x,K(y,z) * (u * w)) = K(x,(u * K(y,z)) * w). K(x,(y * K(z,u)) * w) = K(x,K(z,u) * (y * w)). K(x,(y / T(z,u)) * w) = K(x,K(u,z) * ((y / z) * w)). K(x,K(y,z) * ((u / z) * w)) = K(x,(u / T(z,y)) * w). K(x,(y * (z * K(u,w))) * v5) = K(x,K(u,L(w,z,y)) * ((y * z) * v5)). K(x,K(y,L(z,u,w)) * ((w * u) * v5)) = K(x,(w * (u * K(y,z))) * v5). K(x,K(y,z) * (u * (w \ 1))) != v5 | K(x,(u * K(y,z)) / w) = v5. K(x,K(y \ 1,T(y,z)) * ((u / T(y,z)) * w)) = K(x,(u / L(T(y,z),y,y)) * w). K(x * K(y * x,(z / T(u,w)) * v5),y) = K(x,T(y,K(w,u) * ((z / u) * v5))). K(x * K(y,(z / T(u,w)) * v5),v6) = K(K((z / u) * v5,y) * x,v6). K(K(x,y) * (z * u),w) = K((z * K(x,y)) * u,w). K((x * K(y,z)) * u,w) = K(K(y,z) * (x * u),w). K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * (x * u),w) = v5. T(x,(y * K(z,u)) * w) = 1 / (x \ K(K(z,u) * (y * w),x)). 1 / (x \ K(K(y,z) * (u * w),x)) = T(x,(u * K(y,z)) * w). K((x * T(y,z)) * u,w) = K(K(y,z) * ((x * y) * u),w). K(K(x,y) * ((z * x) * u),w) = K((z * T(x,y)) * u,w). K((x \ K(y,z)) * u,w) = K(K(y,z) * ((x \ 1) * u),w). K(K(x,y) * ((z \ 1) * u),w) = K((z \ K(x,y)) * u,w). K(K(x,y) * ((K(z,u) * x) * w),v5) != v6 | K(T(K(z,u) * x,y) * w,v5) = v6. K(T(K(x,y) * z,u) * w,v5) = K((K(x,y) * T(z,u)) * w,v5). K(x * (y * K(z,u)),T(w,y)) != v5 | K(K(z,u) * (y * x),w) = v5. T(x,K(y,z) * (u * w)) = T(x,(u * K(y,z)) * w). T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). T(x,(y * K(z,u)) * w) != v5 | T(T(x,K(y,w)),w * (y * K(z,u))) = v5. T(T(x,K(y,z)),z * (y * K(u,w))) = T(x,K(u,w) * (y * z)). T(T(x,K(y,z)),(z * K(u,T(w,v5))) * y) != v6 | T(x,y * (z * K(u,w))) = v6. T(x,y * (z * K(u,w))) = T(T(x,K(y,z)),K(u,T(w,v5)) * (z * y)). T(T(x,K(y,z)),K(u,T(w,v5)) * (z * y)) = T(x,y * (z * K(u,w))). T(x,(y \ T(z,u)) * w) = T(x,K(z,u) * ((y \ z) * w)). T(x,K(y,z) * ((u \ y) * w)) = T(x,(u \ T(y,z)) * w). T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). T(x,K(y * z,y) * ((u \ y) * w)) = T(x,(u \ T(y,z)) * w). T(x,K(y * z,u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. T(x,K(y \ z,u) * ((w \ u) * v5)) = T(x,(w \ T(u,y * z)) * v5). x != K((K(y,z) * u) * w,v5) | K(K(y,z) * (u * w),v5) = x. K(K(x,y) * (T(z,u) * w),v5) = K(T(K(x,y) * z,u) * w,v5). K(T(K(x,y) * z,u) * w,v5) = K(K(x,y) * (T(z,u) * w),v5). T(x,y * (z * K(u,w))) = T(T(x,K(z,y)),K(u,w) * (z * y)). T(T(x,K(y,z)),K(u,w) * (y * z)) = T(x,z * (y * K(u,w))). T(x,K(y,z) * ((u \ z) * w)) != v5 | T(x,(u \ T(z,y)) * w) = v5. T(x,(y \ T(z,z * u)) * w) = T(x,(y \ T(z,u)) * w). K(T(x * K(y,z),u) * w,v5) = K(K(y,z) * (T(T(x,K(y,z)),u) * w),v5). K(K(x,y) * (T(T(z,K(x,y)),u) * w),v5) = K(T(z * K(x,y),u) * w,v5). T(T(x,K(y,z)),K(u * w,u) * (y * z)) = T(x,z * T(K(u * w,u) * y,K(u,w))). K(K(x,y) * (z * u),w) = K(u * (K(x,y) * z),T(w,z)). K(x * (K(y,z) * u),T(w,u)) = K(K(y,z) * (u * x),w). K(x * (T(y,z) * K(u,w)),T(v5,y)) != v6 | K(K(u,w) * (T(y,z) * x),v5) = v6. K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,a(y,z,K(u,w)) * (v5 * v6)). x != K(K((y / z) * u,w) * v5,v6) | K(K((z \ y) * u,w) * v5,v6) = x. K(K((x \ y) * z,u) * w,v5) = K(w * K(u,(y / T(x,v6)) * z),v5). K(x * K(y,(z / T(u,w)) * v5),v6) = K(K((u \ z) * v5,y) * x,v6). T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (z * K(w,u))). T(x,(y \ T(z,u \ w)) * v5) = T(x,(y \ T(z,u * w)) * v5). x != K(y,a(z,u,K(w,v5)) * v6) | K(y,v6) = x. K(x,y * z) = K(x,(a(u,w,K(v5,v6)) * y) * z). K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,v5 * v6). K(x,y \ z) = K(x,(a(u,w,K(v5,v6)) * (y \ 1)) * z). K(x,(a(y,z,K(u,w)) * (v5 \ 1)) * v6) = K(x,v5 \ v6). K(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). K(x,(y * a(z,u,K(w,v5))) * v6) = K(x,y * v6). K(x,y * (z * K(u,w))) = K(x,K(u,w) * (y * z)). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). x \ T(x,K(y,z) * u) = K(x,K(y,L(z,w,v5)) * u). K(x,K(y,L(z,u,w)) * v5) = x \ T(x,K(y,z) * v5). 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,u * (w * K(y,z))) = v5. K(x,y * T(z,u)) = K(x,y * (z * K(u,z))). K(x,y * (z * K(u,z))) = K(x,y * T(z,u)). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). 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 / z))) = K(x,u * (w / T(z,y))). K(x,K(y,z) * (u * (w * y))) = K(x,u * (w * T(y,z))). K(x,K(y \ z,y) * (u * (w * (z / y)))) = K(x,u * (w * (y \ z))). K(x,y * (z * K(u,w))) != v5 | K(x,K(w,u) * (y * z)) = v5. K(x,y * ((z \ 1) * u)) != w | K(x,((z \ 1) * u) * y) * K(x,K(y,z * u)) = w. K(x,((y \ 1) * K(z,y \ 1)) * u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). 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 * (z * (u * K(w,z * u)))) = K(x,y * T(z * u,w)). K(x,y * (K(z,u) * w)) = K(x,K(u,z) * (y * w)). K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). K(x,K(y,z) * (u * (w * z))) = K(x,u * (w * T(z,y))). K(x,K(y,z) * (u * (w * (y * z)))) = K(x,u * (w * (z * y))). K(x,K(y,z) * (u * (w \ 1))) = K(x,u * (w \ K(z,y))). K(x,K(y,z) * (u * (w \ K(y,z)))) = K(x,u * (w \ 1)). K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. K(x,y * (z * K(u,w))) = K(x,y * (K(w,u) * z)). K(x,y * (K(z,u) * w)) = K(x,y * (w * K(u,z))). K(x,y * (K(z * u,z) * w)) != v5 | K(x,K(u,z) * (y * w)) = v5. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. K(x,y * (K(z,u) * w)) = K(x,y * (K(u,z) * w)). K(x,K(y,z) * (u * (z * w))) = K(x,u * (T(z,y) * w)). K(x,y * (T(z,u) \ w)) = K(x,y * (K(z,u) * (z \ w))). K(x,y * (K(z,u) * (z \ w))) = K(x,y * (T(z,u) \ w)). K(x,y) = K(x,y * (K(z,u) * K(z,u))). K(x,y * (K(z,u) * K(z,u))) = K(x,y). K(x,y * (K(z,u \ w) * ((u * w) / u))) = K(x,y * (T(u,w) * T(u \ w,z))). K(x,y * (K(z,y) * u)) != w | K(x,T(y,z) * u) = w. K(x,y * (K(z,u) * w)) != v5 | K(x,y * (K(u,z) * w)) = v5. K(x,T(T(y,z),z) * u) = K(x,y * u). K(x,T(T(T(y,z),z) * u,w)) = K((w * x) / w,y * u). K((x * y) / x,z * u) = K(y,T(T(T(z,w),w) * u,x)). 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,y \ z) * u) = K(x,(z / (z / y)) * u). K(x,T(y \ z,y) * ((z / y) * u)) != w | K(x,(y \ z) * ((y \ z) * u)) = w. K(x,(y \ z) * ((y \ z) * u)) = K(x,(z / y) * ((z / y) * u)). K(x,(y / z) * ((y / z) * u)) = K(x,(z \ y) * ((z \ y) * u)). L(K(x,T(y,z) * u),w,v5) = K(x,L(((z * y) / z) * u,w,v5)). K(x,L(((y * z) / y) * u,w,v5)) = L(K(x,T(z,y) * u),w,v5). K(x,y * (T(z,u) / w)) = K(x,y * (K(u,z) * (z / w))). K(x,y * (K(z,u) * (u / w))) = K(x,y * (T(u,z) / w)). K(x,T(y,z) * u) = K(x,(z / (z / y)) * u). K(x,(y / (y / z)) * u) = K(x,T(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,K(y,T(z,u) * w)) * K(x,y \ ((u / (u / z)) * w)) = K(x,((u / (u / z)) * w) / y). K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). K(x,(T(a(y,z,u),w) \ 1) * v5) = K(x,a(y,z,u) \ v5). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. T(x,L(y,z,u) / w) = T(x,K(w,y) * (w \ L(y,z,u))). T(x,K(y,z) * (y \ L(z,u,w))) = T(x,L(z,u,w) / y). T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). T(x,y * (z * K(u,w))) = T(x,K(u,w) * (y * z)). T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). T(x,y * z) = T(x,K(u,w) * (y * (z * K(w,u)))). T(x,K(y,z) * (u * (w * K(z,y)))) = T(x,u * w). T(x,y * (z * T(u,w))) = T(x,K(u,w) * (y * (z * u))). T(x,K(y,z) * (u * (w * y))) = T(x,u * (w * T(y,z))). T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). x * y != T(z,L(K(u,w),v5,v6) \ v7) | x \ T(z,K(u,w) \ v7) = y. x \ T(x,K(y,z) \ u) = K(x,L(K(y,z),w,v5) \ u). K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). T(x,K(L(y,z,u),w) * (v5 * (u * (z * y)))) = T(x,v5 * ((u * z) * T(L(y,z,u),w))). K(x,T(y,z * (u * K(w,v5)))) != v6 | K(x,T(y,z * u)) = v6. K(x,((y * z) / y) * u) != w | K(x,T(z,y) * u) = w. K(K(x,y) * z,u) = K(K(x,L(y,w,v5)) * z,u). K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). K(K(x,L(y,z,u)) * R(y,z,u),T(w,y)) != v5 | K(R(y,z,u),T(w,x)) = v5. K(R(x,y,z),T(u,w)) = K(K(w,x) * R(x,y,z),T(u,x)). K(K(x,y) * R(y,z,u),T(w,y)) = K(R(y,z,u),T(w,x)). K(K(x,T((y * z) \ u,w)) * v5,v6) = K(K(x,T(z \ (y \ u),w)) * v5,v6). K(K(L(x,y,z),u) * w,v5) = K(K(x,u) * w,v5). K(K((x * y) \ z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). K(x * ((x \ y) * K(z,u)),w) = K(K(z,u) * y,w). K(((x \ y) * K(z,u)) * x,w) = K(K(z,u) * y,T(w,x)). K(x,K(y,z) \ u) = K(x,L(K(y,z),w,v5) \ u). K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(y,z) \ v5) = v6. K(x,K(y * z,(y \ 1) \ 1) * (u * (w / ((y \ 1) \ 1)))) = K(x,u * (w / T(y,y \ z))). K(x,K(y,z) * (u * (w * (y * z)))) = K(x,u * (w * T(y * z,z))). x / (x * a(y,z,K(u,w * (v5 * T(v6,v7))))) = a(K(v7,v6) * (w * (v5 * v6)),z,K(u,y)). a(K(x,y) * (z * (u * y)),w,K(v5,v6)) = v7 / (v7 * a(v6,w,K(v5,z * (u * T(y,x))))). K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(u,z))). K(x,y / T(z,u)) = K(x,y * (z \ K(z,u))). K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)). K(x,y / T(z,u)) * a(w,v5,K(y / T(z,u),x)) = K(x,L(y * (z \ K(z,u)),v5,w)). x != K(y,z * (u \ 1)) | K(y,z / u) = x. K(x,y / z) = K(x,K(u,w) * (y * (z \ K(u,w)))). K(x,K(y,z) * (u * (w \ K(y,z)))) = K(x,u / w). K(x,K(y,z) * (u * (w \ K(z,y)))) = K(x,u / w). x \ T(x,y * (T(z,u) * w)) = K(x,K(u,z) * (y * (z * w))). K(x,K(y,z) * (u * (z * w))) = x \ T(x,u * (T(z,y) * w)). K(x * K(y,z * (T(u,w) * v5)),v6) = K(K(z * (u * v5),y) * x,v6). K(x,y * ((z \ K(u,z \ 1)) \ w)) = K(x,y * (T(z \ 1,u) \ w)). K(x,T(T(T(y,z),z) * u,w)) != v5 | K(x,T(y * u,w)) = v5. K(x,y * (K(z \ u,w) * v5)) != v6 | K(x,y * (K(z * u,w) * v5)) = v6. K(x,y * (K(z * u,w) * (w / v5))) = K(x,y * (T(w,z \ u) / v5)). K(x,y * (((z * u) / z) / w)) = K(x,y * (T(u,z) / w)). K(x,T(a(y,z,u),w) \ v5) = K(x,a(y,z,u) \ v5). T(x,T(y,z) \ L(z,u,w)) = T(x,L(z,u,w) / y). T(x,K(y,z) * (u * (w * (y * z)))) = T(x,u * (w * T(y * z,z))). T(x,K(y,z) * (u * (w * z))) = T(x,u * (w * T(z,y))). K(R(x,y,z) * K(u,x),w) = K(R(x,y,z),T(w,u)). K(R(x,y,z) * K(u,x),w) != v5 | K(x,L(T(w,u),y,z)) = v5. K(K(x,y) * ((z \ u) * z),w) = K(K(x,y) * u,T(w,z)). K(x,K(L(y,z,u),w) \ v5) != v6 | K(x,K(w,y) \ v5) = v6. K(x,y * (z / u)) = K(x,y * (T(T(z,w),w) / u)). K(x,y * (T(T(z,u),u) / w)) = K(x,y * (z / w)). K(x,T(((y * z) / y) / u,w)) = K(x,K(((y * z) / y) / u,w) * (T(z,y) / u)). K(x,K(((y * z) / y) / u,w) * (T(z,y) / u)) = K(x,T(((y * z) / y) / u,w)). K(x,(T(T(y,z),z) / u) * w) = K(x,T(w,T(T(y,z),z) / u) * (y / u)). K(x,T(y,T(T(z,u),u) / w) * (z / w)) = K(x,(T(T(z,u),u) / w) * y). K(x,y * (T(z,u) / u)) != w | K(x,y * (u \ z)) = w. K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). K(x,(y * z) * (z \ T(u,z \ 1))) = K(x,(y * (z \ 1)) * (u / (z \ 1))). K(x,(y * (z \ 1)) * (u / (z \ 1))) = K(x,(y * z) * (z \ T(u,z \ 1))). K(x * ((y \ z) * y),u) != w | K(x * T(z,y),u) = w. K(K(x,y) * T(z,u),w) = K(K(x,y) * z,T(w,u)). (((x * x) * y) / (x * x)) / (((x * x) * (y * K(K(z,u) * w,T(y,v5)))) / (x * x)) = K(y,K(z,u) * T(w,x * (x * v5))). K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. K(x,y * (z * K(u \ w,v5))) = K(x,(y * z) * K(u * w,v5)). K(x,(y * z) * K(u * w,v5)) = K(x,y * (z * K(u \ w,v5))). x != K(y,K(z \ u,w) * v5) | K(y,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(z * (y \ u),w) * v5). K(x,y * L(z / (u \ 1),u,u)) = K(x,y * T(u * z,u \ 1)). K(x,L(T(y,z) * u,w,v5)) = K(x,L(((z * y) / z) * u,w,v5)). K(x,L(((y * z) / y) * u,w,v5)) = K(x,L(T(z,y) * u,w,v5)). K(K((x * y) * z,u) * w,v5) = K(K(y \ (x \ z),u) * w,v5). K(K(x \ (y \ z),u) * w,v5) = K(K((y * x) * z,u) * w,v5). T(x,K(y,z) * (u * (z * w))) = T(x,u * (T(z,y) * w)). T(x,K(y,z) * (u * (T(z,w) * v5))) = T(x,u * (T(T(z,w),y) * v5)). T(x,y * (z * (u * (w * K(u,v5))))) != v6 | T(x,y * (z * (T(u,v5) * w))) = v6. T(x,K(y,z) * (u * (T(z,w) * v5))) = T(x,u * (T(z,y) * (v5 * K(z,w)))). K(x,(y * (z / (u \ w))) * K(u * w,u)) = K(x,y * (z / (w / u))). K(x,K((y * z) * u,w) * v5) = K(x,K(z * (y \ u),w) * v5). K(x,L(y * (K(z,y) * u),w,v5)) = K(x,L(T(y,z) * u,w,v5)). K(K(x * (y \ z),u) * w,v5) = K(K((y * x) * z,u) * w,v5). K(K((x * y) * z,u) * w,v5) = K(K(y * (x \ z),u) * w,v5). K(x,K(((y \ 1) * z) * u,w) * v5) != v6 | K(x,v5 * K((y * z) * u,w)) = v6. K(x,y * K((z * u) * w,v5)) = K(x,K(u * ((z \ 1) \ w),v5) * y). K(x,K(y * ((z \ 1) \ u),w) * v5) = K(x,v5 * K((z * y) * u,w)). K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) * (u \ 1),w,v5)). K(x * K(y,(z * u) * w),v5) = K(K(u * (z \ w),T(y,v6)) * x,v5). K(K(x * (y \ z),T(u,w)) * v5,v6) = K(v5 * K(u,(y * x) * z),v6). x != K(y,z * T(u,w \ 1)) | K(y,z * T(u,w)) = x. K(x,y * T(z * u,z)) = K(x,y * L(u / (z \ 1),z,z)). K(x,y * L(z / (u \ 1),u,u)) = K(x,y * T(u * z,u)). x != K(y,z * T(u * w,u)) | K(y,z * (w * u)) = x. K(x,y * (z * u)) = K(x,y * L(z / (u \ 1),u,u)). K(x,y * L(z / (u \ 1),u,u)) = K(x,y * (z * u)). K(x * K(y,(z / T(u,w)) * v5),v6) != v7 | K(K(v5 * (T(u,w) \ z),y) * x,v6) = v7. K(K(x * (T(y,z) \ u),w) * v5,v6) = K(K((y \ u) * x,w) * v5,v6). K(x,K(y * z,y) * (u * (w * (z / y)))) = K(x,u * (w * (y \ z))). K(x,K(y,z) * (u * (w * (y * z)))) != v5 | K(x,u * (w * (z * y))) = 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,y * ((1 / z) * T(u * z,z))) != w | K(x,y * (u * (a(u,z,1 / z) * K(z,z \ 1)))) = w. K(x,y * (z * (a(z,u,1 / u) * K(u,u \ 1)))) = K(x,y * ((1 / u) * (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 * ((z * u) * u)) = K(x,y * (u * (u * z))). K(x,y * (z * T((u * (w * u)) / u,T(u,u * w)))) = K(x,y * (z * (T(u,u * w) * w))). x \ T(x,y * (z * T(u,w))) = K(x,y * (z * (w * (u / w)))). K(x,y * (z * (u * (w / u)))) = x \ T(x,y * (z * T(w,u))). K(x,y * (z * (T(u,w) * w))) = K(x,y * (z * T(u * w,u))). K(x,y * (z * T(u * w,u))) = K(x,y * (z * (T(u,w) * w))). K(x,y * (T(z,u) * (w / z))) = K(x,y * (K(z,u) * T(w,z))). K(x,y * (K(z,u) * T(w,z))) = K(x,y * (T(z,u) * (w / z))). T(x,y * (z * (u * (w / u)))) = T(x,y * (z * T(w,u))). K(x,y * (z * (u * (w / u)))) != v5 | K(x,y * (z * T(w,u))) = v5. T(x,y * ((z * (u / z)) * w)) = T(x,y * (T(w,z * (u / z)) * T(u,z))). T(x,y * (T(z,u * (w / u)) * T(w,u))) = T(x,y * ((u * (w / u)) * z)). T(x,(y * (z * (u / z))) * w) = T(x,T(w,y * (z * (u / z))) * (y * T(u,z))). T(x,T(y,z * (u * (w / u))) * (z * T(w,u))) = T(x,(z * (u * (w / u))) * y). T(x,y * (z * (u * w))) = T(x,y * (z * T(w * u,u))). T(x,y * (z * T(u * w,w))) = T(x,y * (z * (w * u))). T(x,y * (z * (T(u,w) * w))) = T(x,y * (z * T(u * w,u))). T(x,y * (z * T(u * w,u))) = T(x,y * (z * (T(u,w) * w))). T(x,y * (z * T(u * (1 / z),1 / z))) = T(x,y * ((z \ 1) * (z * u))). T(x,y * (z * T((u * w) * (1 / u),u \ 1))) = T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))). x != K(y,z * (T(u,w) * (v5 / u))) | K(y,z * (u * (v5 / T(u,w)))) = x. K(x,y * (z * (u / T(z,w)))) = K(x,y * (K(z,w) * T(u,z))). K(x,y * (K(z,u) * T(w,z))) = K(x,y * (z * (w / T(z,u)))). K(x,y * T(K(z,u) * w,z)) = K(x,y * (z * (w / T(z,u)))). x != K(y,((z * (u / z)) \ w) * (z * (u / T(z,u)))) | K(y,T(K(z * (u / z),z) * w,z * (u / z))) = x. K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * T(K(y,z) * z,y)). K(K(x * (T(y,z) * u),w) * v5,v6) = K(K(x * (y * u),w) * v5,v6). K(x,y * (K(z,u) * (u / w))) != v5 | K(x,y * (T(u,z) / w)) = v5. K(x,y * (T(z,u * w) / v5)) = K(x,y * (T(z,u \ w) / v5)). K(x,y * (T(z,u \ w) / v5)) = K(x,y * (T(z,u * w) / v5)). K(x,y * (z \ T(u,w \ v5))) = K(x,y * (T(u,w * v5) / T(z,T(u,w \ v5)))). K(x,y * (T(z,u * w) / T(v5,T(z,u \ w)))) = K(x,y * (v5 \ T(z,u \ w))). T(x,K(y,z) * u) != w | T(x,K(y,y * z) * u) = w. T(x,K(y,y * z) * (u * (w * (y * z)))) = T(x,u * (w * T(y * z,z))). K(x,(y * (z / (u \ w))) * K(w * u,u)) = K(x,y * (z / (w / u))). K(x,y * K(z,u * ((w \ 1) \ v5))) = K(x,y * K((w * u) * v5,z)). x != K(y,L(z * (u \ 1),w,v5)) | K(y,L(z / u,w,v5)) = x. K(x,L(T(y,z) / u,w,v5)) = K(x,L((y * K(z,y)) / u,w,v5)). K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) / u,w,v5)). K(x,L((y * K(z,y)) / u,u,z)) != w | K(x,(z * y) / (u * z)) = w. K(x,(y * z) / (u * y)) = K(x,L(T(z,y) / u,u,y)). K(x,L(T(y,z) / u,u,z)) = K(x,(z * y) / (u * z)). K(x,L(T(y * z,y \ 1) / u,u,y \ 1)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). K(x * K(y,(z * u) * w),v5) != v6 | K(x * K(y,u * (z \ w)),v5) = v6. K(x,(y * (z * (u / w))) * K(u,w)) = K(x,y * (z * (w \ u))). K(x,y * ((z * (u / w)) * K(u,w))) = K(x,y * (z * (w \ u))). K(x,y * K(z * u,u)) != w | K(x,y * K(u,z)) = w. K(x,(y * (z / (u \ w))) * K(u,w)) = K(x,y * (z / (w / 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)))). K(x,y * ((K(z,u) / w) \ v5)) = K(x,y * (T(v5,K(z,u) / w) / (w \ K(z,u)))). K(x,y * (T(z,K(u,w) / v5) / (v5 \ K(u,w)))) = K(x,y * ((K(u,w) / v5) \ z)). K(x,(y \ z) * K(y,u * ((w \ 1) \ v5))) != v6 | K(x,T(y,u * ((1 / w) \ v5)) \ z) = v6. K(x,T(y,z * ((1 / u) \ w)) \ v5) = K(x,(y \ v5) * K((u * z) * w,y)). K(x,K(y,z) * ((u * w) * v5)) = K(x,((K(y,z) * u) * w) * v5). K(x,((K(y,z) * u) * w) * v5) = K(x,K(y,z) * ((u * w) * v5)). K(x,K(y,z) * ((u * w) * v5)) = K(x,(u * (w * K(y,z))) * v5). K(x,(y * (z * K(u,w))) * v5) = K(x,K(u,w) * ((y * z) * v5)). x != K(y,K(z,u) * (w * v5)) | K(y,w * (v5 * K(z,u))) = x. K(x,(y * z) * (u * K(w,v5))) = K(x,(y * (z * K(w,v5))) * u). K(x,(y * (z * K(u,w))) * v5) = K(x,(y * z) * (v5 * K(u,w))). K(x,(y * T(z,u)) * w) = K(x,(y * z) * (w * K(z,u))). K(x,(y * z) * (u * K(z,w))) = K(x,(y * T(z,w)) * u). K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). K(x,(y * z) * (u * K(w,z))) = K(x,(y * T(z,w)) * u). K(x,(y * z) * (u * K(w,y))) = K(x,(T(z,y) * T(y,w)) * u). K(x,(T(y,z) * T(z,u)) * w) = K(x,(z * y) * (w * K(u,z))). K(x,(T(y,z) * u) * w) = K(x,(y * u) * (w * K(z,y))). K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). K(x,(T(y,z) * u) * (y \ w)) != v5 | K(x,(y * u) * (T(y,z) \ w)) = v5. K(K(x,y * (y * K(z,u))) * K(u,(w / x) * (w \ z)),v5) = K(K(u,(w * (w / x)) \ z),v5). K(K(x,y) * (T(z,u) * w),v5) = K(T(z * K(x,y),u) * w,v5). K(T(x * K(y,z),u) * w,v5) = K(K(y,z) * (T(x,u) * w),v5). K(T(x * K(y,z),u) * w,v5) != v6 | K(K(y,z) * (T(x,u) * w),v5) = v6. K(x * K((y * z) \ u,w),v5) = K(K(w,T(z \ (y \ u),v6)) * x,v5). K(K(x,T(y \ (z \ u),w)) * v5,v6) = K(v5 * K((z * y) \ u,x),v6). x != K(y * K(z \ u,w),v5) | K(y * K(z * u,w),v5) = x. K(x * K((y * z) * u,w),v5) = K(K(w,T(z \ (y \ u),v6)) * x,v5). K(K(x,T(y \ (z \ u),w)) * v5,v6) = K(v5 * K((z * y) * u,x),v6). 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). K(x * K((y * z) * u,w),v5) = K(x * K(z * (y \ u),w),v5). K(x * K(K(y,z) * (u * w),v5),v6) = K(x * K(u * (K(y,z) \ w),v5),v6). K(x,T(y,z / u) * (z / u)) = K(x,(T(T(z,w),w) / u) * y). K(x,(y / z) * u) = K(x,(T(T(y,w),w) / z) * u). K(x,(T(T(y,z),z) / u) * w) = K(x,(y / u) * w). K(x,(y \ T(T(z,u),u)) * w) = K(x,(z / T(y,T(z,u))) * w). 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,(y \ (y \ z)) * u) = K(x,((z / y) / y) * u). K(x,((y / z) / z) * u) = K(x,(z \ (z \ y)) * u). K(x,(T(y,z) \ z) * u) = K(x,(z / y) * u). x \ y != K(z,(T(u,w) \ w) * v5) | x * K(z,(w / u) * v5) = y. x * K(x,(y / z) * u) = T(x,(T(z,y) \ y) * u). T(x,(T(y,z) \ z) * u) = x * K(x,(z / y) * u). (x * K(y,(z / u) * w)) \ x = K((T(u,z) \ z) * w,y). K((T(x,y) \ y) * z,u) = (w * K(u,(y / x) * z)) \ w. 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,(y \ T(z,y)) * u) = T(x,(z / y) * u). T(x,(y \ (y \ z)) * u) = T(x,((z / y) / y) * u). T(x,((y / z) / z) * u) = T(x,(z \ (z \ y)) * u). T(x,y * ((z / u) / u)) = T(T(x,K(z,y)),(u \ (u \ z)) * y). T(T(x,K(y,z)),(u \ (u \ y)) * z) = T(x,z * ((y / u) / u)). K((x / y) * z,u) = K((T(y,x) \ x) * z,u). K((T(x,y) \ y) * z,u) = K((y / x) * z,u). K((x \ T(y,x)) * z,u) = K((y / x) * z,u). K((T(x,y * z) \ T(u,T(x,y \ z))) * w,v5) = K((u / T(x,y \ z)) * w,v5). T(x,y * (z \ (z \ u))) = T(x,y * ((u / z) / z)). T(x,y * ((z / u) / u)) = T(x,y * (u \ (u \ z))). T(x,K(y,z) * (u * (T(z,w) * v5))) != v6 | T(x,u * (T(T(z,w),y) * v5)) = v6. T(x,y * (T(T(z,u),w) * v5)) = T(x,y * (T(z,w) * (v5 * K(z,u)))). T(x,y * (T(z,u) * (w * K(z,v5)))) = T(x,y * (T(T(z,v5),u) * w)). T(x,y * (T(z,u) * ((z \ w) * K(z,u)))) != v5 | T(x,y * (K(z,u) * (w * K(z,u)))) = v5. T(x,y * (K(z,u) * (w * K(z,u)))) = T(x,y * (T(T(z,u),u) * (z \ w))). T(x,y * (T(T(z,u),u) * (z \ w))) = T(x,y * (K(z,u) * (w * K(z,u)))). T(x,y * (T(z,T(u,w)) * T(u,w))) = T(x,y * ((w * (u / w)) * z)). T(x,y * (T(z,u) * w)) = T(x,y * ((u * (z / u)) * w)). T(x,y * ((z * (u / z)) * w)) = T(x,y * (T(u,z) * w)). T(x,(y * (z / y)) * u) = T(x,1 * (T(z,y) * u)). T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). T(x,(T(y,z) * z) * u) = T(x,T(y * z,y) * u). T(x,T(y * z,y) * u) = T(x,(T(y,z) * z) * u). T(x,(y * z) * u) = T(x,T(z * y,z) * u). T(x,T(y * z,y) * u) = T(x,(z * y) * u). T(x,T(y * z,y) * u) != w | T(x,(z * y) * u) = w. T(x,(y * z) * z) != u | T(x,z * (z * y)) = u. T(x,y * (z * T(u * (1 / z),z \ 1))) = T(x,y * ((z \ 1) * (z * u))). T(x,K(y,z) * (u * (w * z))) != v5 | T(x,u * (w * T(z,y))) = v5. T(x,y * (z * T(u * w,u))) = T(x,y * (z * T(u * w,w))). T(x,y * (z * T(u * w,w))) = T(x,y * (z * T(u * w,u))). T(x,y * (z * T(u * w,w))) != v5 | T(x,y * (z * (w * u))) = v5. T(x,y * (z * (u * w))) = T(x,y * (z * T(w * u,w))). T(x,y * (z * T(u * w,u))) = T(x,y * (z * (w * u))). T(x,y \ (z * T(u * w,u))) = T(x,(y \ 1) * (z * (w * u))). T(x,y * (z * T(u * w,u))) != v5 | T(x,y * (z * (T(u,w) * w))) = v5. T(x,y * (z * (T(u,w) * w))) = T(x,y * (z * (w * u))). T(x,(y * (T(z,u) * u)) * w) = T(x,T(w,y * (u * z)) * (y * (u * z))). T(x,T(y,z * (u * w)) * (z * (u * w))) = T(x,(z * (T(w,u) * u)) * y). T(x,y * (z * (T(u,(w \ v5) \ v5) * ((w \ v5) \ v5)))) = T(x,y * (z * (T(w,w \ v5) * u))). T(x,y \ (z * T(u * w,u))) != v5 | T(x,y \ (z * (w * u))) = v5. K(x,T(y,z * ((1 / u) \ w)) \ v5) = K(x,T(v5 / T(y,(u * z) * w),y)). K(x,T(y / T(z,(u * w) * v5),z)) = K(x,T(z,w * ((1 / u) \ v5)) \ y). K(x * K(K(y,z) * u,w),v5) != v6 | K(K(u,w) * x,v5) = v6. K(K(x * y,z) * u,w) = K(u * K(x * (K(v5,v6) \ y),z),w). K(x * K(y * (K(z,u) \ w),v5),v6) = K(K(y * w,v5) * x,v6). x != K(K((y * z) * u,w) * v5,v6) | K(K(z * (y \ u),w) * v5,v6) = x. K(K(x * (y \ z),u) * w,v5) = K(w * K((y * x) * (K(v6,v7) \ z),u),v5). K(x * K((y * z) * (K(u,w) \ v5),v6),v7) = K(K(z * (y \ v5),v6) * x,v7). T(x,y * (T(T(z,u),u) * w)) != v5 | T(x,y * (z * w)) = v5. T(x,y * (z * (z \ u))) = T(x,y * (K(z,w) * (u * K(z,w)))). T(x,y * (K(z,u) * (w * K(z,u)))) = T(x,y * (z * (z \ w))). T(x,y * (K(z,u) * (w * K(z,u)))) = T(x,y * w). T(x,y * (K(z,u) * w)) = T(x,y * (w * K(u,z))). T(x,y \ (K(z,u) * w)) = T(x,(y \ 1) * (w * K(u,z))). T(x,(y \ 1) * (z * K(u,w))) = T(x,y \ (K(w,u) * z)). x != T(y,z * (u * K(w,v5))) | T(T(y,K(z,u)),K(v5,w) * (u * z)) = x. T(T(x,K(y,z)),K(u,w) * (z * y)) = T(x,y * (K(u,w) * z)). T(x,y * (K(z,u) * (z \ w))) != v5 | T(x,y * (T(z,u) \ w)) = v5. T(x,y \ (K(z,u) * w)) != v5 | T(x,y \ (w * K(u,z))) = v5. T(T(x,K(y,z)),K(u * w,v5) * (z * y)) = T(x,y * (K(u \ w,v5) * z)). T(x,y * (z * T(u,w \ v5))) != v6 | T(x,y * (z * T(u,w * v5))) = v6. T(x,y * (z * T(u * (1 / z),z * 1))) = T(x,y * ((z \ 1) * (z * u))). T(x,(y * (z * u)) * w) = T(x,(y * (T(u,z) * z)) * w). T(x,(y * (T(z,u) * u)) * w) = T(x,(y * (u * z)) * w). K(x,T(y,(z * u) * w) \ v5) = K(x,T(y,u * ((1 / z) \ w)) \ v5). K(x,T(y,z * ((1 / u) \ w)) \ v5) = K(x,T(y,(u * z) * w) \ v5). K(x,T(y,z * ((u \ 1) \ w)) \ v5) = K(x,T(y,(u * z) * w) \ v5). K(x,T(y,z * ((u \ 1) \ w)) \ v5) != v6 | K(x,T(y,z * (u \ w)) \ v5) = v6. K(x,T(y,z * (u \ w)) \ v5) = K(x,T(y,(u * z) * w) \ v5). K(x,T(y,(z * u) * w) \ v5) = K(x,T(y,u * (z \ w)) \ v5). K(x,T(y,(z * u) * w) \ v5) != v6 | K(x,T(y,w * ((z \ 1) * u)) \ v5) = v6. K(x,T(y,z * ((u \ 1) * w)) \ v5) = K(x,T(y,w * (u \ z)) \ v5). x != K(K(y * (T(z,u) \ w),v5) * v6,v7) | K(K((z \ w) * y,v5) * v6,v7) = x. K(K((x \ y) * z,u) * w,v5) = K(w * K((T(x,v6) * z) * (K(v7,v8) \ y),u),v5). K(x * K((T(y,z) * u) * (K(w,v5) \ v6),v7),v8) = K(K((y \ v6) * u,v7) * x,v8). T(T(x,K(y,z)),K(u,w) * (z * y)) != v5 | T(x,y * (K(u,w) * z)) = v5. T(x,y * (K(z * u,w) * v5)) = T(x,y * (K(z \ u,w) * v5)). T(x,y * (K(z \ u,w) * v5)) = T(x,y * (K(z * u,w) * v5)). T(x,y * (T(z,u \ w) \ v5)) = T(x,y * (K(u * w,z) * (z \ v5))). T(x,y * (K(z * u,w) * (w \ v5))) = T(x,y * (T(w,z \ u) \ v5)). T(x,y * (T(z,u * w) \ v5)) = T(x,y * (T(z,u \ w) \ v5)). T(x,y * (T(z,u \ w) \ v5)) = T(x,y * (T(z,u * w) \ v5)). T(x,T(y \ z,u) * (u \ w)) = T(x,(y \ z) * (T(u,y * z) \ w)). T(x,y \ (T(z,u \ w) \ v5)) = T(x,(y \ 1) * (T(z,u * w) \ v5)). T(x,(y \ 1) * (T(z,u * w) \ v5)) = T(x,y \ (T(z,u \ w) \ v5)). x != T(y,z * (T(u,w * v5) \ v6)) | T(y,z * (T(u,v5 * w) \ v6)) = x. T(x,(y \ z) * (T(u,z * y) \ w)) = T(x,T(y \ z,u) * (u \ w)). T(x,T(y \ z,u) * (u \ w)) = T(x,(y \ z) * (T(u,z * y) \ w)). T(x,y \ (T(z,u * w) \ v5)) = T(x,y \ (T(z,u \ w) \ v5)). T(x,y \ (T(z,u \ w) \ v5)) = T(x,y \ (T(z,u * w) \ v5)). T(x,y \ (T(z,u \ w) \ v5)) != v6 | T(x,y \ (T(z,u * w) \ v5)) = v6. T(x,y \ (z \ u)) = T(x,y \ (T(z,w * w) \ u)). T(x,y \ (T(z,u * u) \ w)) = T(x,y \ (z \ w)). T(x,y \ (T(z,u \ (u \ 1)) \ w)) = T(x,y \ (z \ w)). T(x,y \ ((z * (u * (z \ (1 / z)))) \ w)) = T(x,y \ (((z \ 1) * u) \ w)). T(x,y * (z * T(u * (1 / z),z))) = T(x,y * ((z \ 1) * (z * u))). T(x,y * R(z,u,u)) = T(x,y * ((u \ 1) * (u * z))). T(x,y * ((z \ 1) * (z * u))) = T(x,y * R(u,z,z)). T(x,y * (z * ((1 / z) * u))) = T(x,y * R(u,z,z)). T(x,y * (z * ((1 / u) * w))) != v5 | T(x,y * (z * ((u \ 1) * w))) = v5. T(x,y * (z * ((z \ 1) * u))) = T(x,y * R(u,z,z)). T(x,y * L(z,u,u)) = T(x,y * R(z,u,u)). T(x,y * R(z,u,u)) = T(x,y * L(z,u,u)). K(x,T(y,z * L(T(u,w),v5,v5))) = K(x,T(y,z * R(u,v5,v5))). K(x,T(y,z * L(T(u,w),v5,v6))) != v7 | K(x,T(y,z * L(u,v5,v6))) = v7. K(x,T(y,z * L(u,w,w))) = K(x,T(y,z * R(u,w,w))). K(x,T(y,z * R(u,w,w))) = K(x,T(y,z * L(u,w,w))). T(x,y \ (z * ((z \ 1) \ ((z * u) \ w)))) = T(x,y \ (((z \ 1) * u) \ w)). T(x,(y \ 1) \ ((y * z) \ u)) = T(x,y \ (((y \ 1) * z) \ u)). T(x,y * ((y * z) \ u)) = T(x,y \ (((y \ 1) * z) \ u)). T(x,y \ (((y \ 1) * z) \ u)) = T(x,y * ((y * z) \ u)). T(x,y \ (((y \ 1) * z) \ u)) != w | T(x,y * ((y * z) \ u)) = w. x != T(T(y,K(z,u)),u * z) | T(y,z * u) = x. T(x,((y * z) \ u) * y) = T(T(x,K((y * z) \ u,y)),y \ (((y \ 1) * z) \ u)). T(T(x,K((y * z) \ u,y)),y \ (((y \ 1) * z) \ u)) = T(x,((y * z) \ u) * y). T(x,y \ (((y \ 1) * ((y \ z) * (y \ z))) \ u)) = T(x,y * ((z / (1 / (y \ z))) \ u)). K(x \ (L(K(y,z),u,w) * v5),v6) = K((x * L(K(z,y),u,w)) \ v5,v6). K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). K((x * L(K(y,z),u,w)) \ v5,v6) != v7 | K(((x \ v5) * x) / T(L(K(y,z),u,w) * x,K(v8,v9)),v6) = v7. K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). (K(x,y) * a(z,u,K(w,v5))) * K(x,K(y,v6)) = T(K(x,y) * a(z,u,K(w,v5)),v6). K(x,y * (K(z,u \ w) * T(w,u))) = K(x,y * (T(u,w) * T(u \ w,z))). K(x,y * (T(z,u) * T(z \ u,w))) != v5 | K(x,y * (K(w,z * u) * T(u,z))) = v5. K(x,K(T(y,z) / u,w) * (T(y,z) / u)) = K(x,T(((z * y) / z) / u,w)). K(x,T(T(y,z) / u,w)) = K(x,T(((z * y) / z) / u,w)). K(x,T(((y * z) / y) / u,w)) = K(x,T(T(z,y) / u,w)). T(x,T(y,z * T(u,w)) * (z * T(u,w))) = T(x,(z * (w * (u / w))) * y). T(x,(y * T(z,u)) * w) = T(x,(y * (u * (z / u))) * w). T(x,(y * (z * (u / z))) * w) = T(x,(y * T(u,z)) * w). x * y != T(z,(u * (w * (v5 / w))) * v6) | x \ T(z,(u * T(v5,w)) * v6) = y. x \ T(x,(y * T(z,u)) * w) = K(x,(y * (u * (z / u))) * w). K(x,(y * (z * (u / z))) * w) = x \ T(x,(y * T(u,z)) * w). T(x,(y * (T(z,u) * u)) * w) = T(x,(y * T(z * u,z)) * w). T(x,(y * T(z * u,z)) * w) = T(x,(y * (T(z,u) * u)) * w). K(x,(y * T(z,u)) * w) = K(x,(y * (u * (z / u))) * w). K(x,(y * (z * (u / z))) * w) = K(x,(y * T(u,z)) * w). K(x,(y * (z * (u / z))) * w) != v5 | K(x,(y * T(u,z)) * w) = v5. K(x,(y * (z * u)) * w) = K(x,(y * T(u * z,z)) * w). K(x,(y * T(z * u,u)) * w) = K(x,(y * (u * z)) * w). K(x,(y * T(z * (1 / y),1 / y)) * u) = K(x,((y \ 1) * (y * z)) * u). T(x,(y * T((z \ u) * w,z * u)) * v5) = T(x,(y * (T(z \ u,w) * w)) * v5). K(x,(y * T(z * (1 / y),y \ 1)) * u) = K(x,((y \ 1) * (y * z)) * u). K(x,(y * T(z * (1 / y),y * 1)) * u) = K(x,((y \ 1) * (y * z)) * u). K(x,(y * T(z * (1 / y),y)) * u) = K(x,((y \ 1) * (y * z)) * u). K(x,R(y,z,z) * u) = K(x,((z \ 1) * (z * y)) * u). K(x,((y \ 1) * (y * z)) * u) = K(x,R(z,y,y) * u). K(x,(y * ((1 / y) * z)) * u) = K(x,R(z,y,y) * u). K(x,(y * ((y \ 1) * z)) * u) = K(x,R(z,y,y) * u). K(x,L(y,z,z) * u) = K(x,R(y,z,z) * u). K(x,R(y,z,z) * u) = K(x,L(y,z,z) * u). K(x,y * (T(z,u * w) / T(v5,T(z,u * w)))) = K(x,y * (v5 \ T(z,u \ w))). K(x,y * (T(z,u \ K(w,v5)) / (u \ K(w,v5)))) = K(x,y * ((K(w,v5) / u) \ z)). K((T(x,y * z) \ T(u,T(x,y * z))) * w,v5) = K((u / T(x,y \ z)) * w,v5). K(x * K((T(y,z) * u) * (K(w,v5) * v6),v7),v8) = K(K((y \ v6) * u,v7) * x,v8). T(T(x,K(y \ (z \ u),z)),z \ (((z \ 1) * y) \ u)) = T(x,((z * y) \ u) * z). K(x,T(y,z)) * a(u,w,K(v5,v6)) = T(K(x,y) * a(u,w,K(v5,v6)),z). T(K(x,y) * a(z,u,K(w,v5)),v6) = K(x,T(y,v6)) * a(z,u,K(w,v5)). T(x,(y * T((z \ 1) * u,z)) * w) = T(x,(y * (T(z \ 1,u) * u)) * w). x != T(y,(z * (T(u,w) * w)) * v5) | T(y,(z * (w * u)) * v5) = x. T(x,(y * (z * (u \ 1))) * w) = T(x,(y * T((u \ 1) * z,u)) * w). T(x,(y * T((z \ 1) * u,z)) * w) = T(x,(y * (u * (z \ 1))) * w). K(x,y * (z \ T(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). K(x,(y \ T(z,u \ w)) * v5) = K(x,T(v5,y * T(z,u * w)) * (y \ T(z,u * w))). K(x,T(y,z * T(u,w * v5)) * (z \ T(u,w * v5))) = K(x,(z \ T(u,w \ v5)) * y). K(x,(y * z) * (z \ T(u,z \ 1))) != w | K(x,(y * (z \ 1)) * (u / (z \ 1))) = w. K(x,(y * (z \ 1)) * (u / (z \ 1))) = K(x,(y * z) * (z \ T(u,z * 1))). K(x,(y * (z \ 1)) * (u / (z \ 1))) = K(x,(y * z) * (z \ T(u,z))). x != K(y,z * (u \ T(w,u))) | K(y,z * (w / u)) = x. K(x,(y * z) * (u / z)) = K(x,(y * (z \ 1)) * (u / (z \ 1))). K(x,(y * (z \ 1)) * (u / (z \ 1))) = K(x,(y * z) * (u / z)). K(x,y * ((z \ K(u,w)) \ v5)) = K(x,y * ((K(u,w) / z) \ v5)). K(x,y * ((K(z,u) / w) \ v5)) = K(x,y * ((w \ K(z,u)) \ v5)). K(x,y * ((K(z,u \ 1) / u) \ w)) != v5 | K(x,y * (K(u * 1,z) * ((1 / u) \ w))) = v5. K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * ((z \ K(u,z \ 1)) \ w)). K((x \ T(y,x)) * z,u) != w | K((y / x) * z,u) = w. K((x / T(y,z * u)) * w,v5) = K((x / T(y,z \ u)) * w,v5). K((x / T(y,z \ u)) * w,v5) = K((x / T(y,z * u)) * w,v5). K((x / T(y,z \ u)) / w,v5) = K((x / T(y,z * u)) * (w \ 1),v5). K((x / T(y,z * u)) * (w \ 1),v5) = K((x / T(y,z \ u)) / w,v5). K((x / T(y,z * u)) / w,v5) = K((x / T(y,z \ u)) / w,v5). K((x / T(y,z \ u)) / w,v5) = K((x / T(y,z * u)) / w,v5). K((x / ((y \ z) \ z)) / u,w) = K((x / T(y,y * z)) / u,w). K((x / T(y,y * z)) / u,w) = K((x / ((y \ z) \ z)) / u,w). K((x / T((y * y) * z,y \ y)) / u,w) = K((x / (z * (y * y))) / u,w). K((x / ((y * y) * z)) / u,w) = K((x / (z * (y * y))) / u,w). K((x / ((y \ 1) \ z)) / u,w) = K((x / ((y \ z) * (y * y))) / u,w). K((x / ((y \ z) * (y * y))) / u,w) = K((x / ((y \ 1) \ z)) / u,w). K((x / y) / (z * (u * u)),w) = K((x / (y * (u * u))) / z,w). K((x / (y * (z * z))) / u,w) = K((x / y) / (u * (z * z)),w). x != K(y / (z * (u * u)),w) | K(u \ (u \ (y / z)),w) = x. K(x \ (x \ ((y / z) / u)),w) = K((y / (z * (x * x))) / u,w). K((x / (y * (z * z))) / u,w) = K(z \ (z \ ((x / y) / u)),w). K((x / (y * (z * z))) / u,w) != v5 | K(z \ (z \ ((x / y) / u)),w) = v5. K(x \ (x \ ((y / (x \ z)) / u)),w) = K((y / ((x \ 1) \ z)) / u,w). T(T(x,K(y,z \ (y \ u))),y \ (((y \ 1) * z) \ u)) = T(x,((y * z) \ u) * y). x != K(y,z * ((u \ K(w,u \ 1)) \ v5)) | K(y,z * (T(u \ 1,w) \ v5)) = x. K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (K(z * 1,u) * ((1 / z) \ w))). K(x,y * (K(z * 1,u) * ((1 / z) \ w))) = K(x,y * (T(z \ 1,u) \ w)). K(x,y * (K(z,u) * ((1 / z) \ w))) = K(x,y * (T(z \ 1,u) \ w)). K(x,y * ((1 / T(z,u)) \ w)) = K(x,y * (T(z \ 1,u) \ w)). T(T(x,K(y,z * (y \ u))),y \ (((y \ 1) * z) \ u)) = T(x,((y * z) \ u) * y). T(T(x,K(y,z * u)),y \ (((y \ 1) * z) \ u)) = T(x,((y * z) \ u) * y). T(T(x,K(y,z * u)),y * ((y * z) \ u)) = T(x,((y * z) \ u) * y). T(x,y * (z \ u)) != T(w,(z \ u) * y) | T(w,K(y,u * z)) = x. T(x,K(y,z * (y * u))) = T(x,K(y,u * z)). T(T(x,K(y,z * u)),y / (u \ (y * z))) = T(x,(u \ (y * z)) \ y). T(T(x,K(y,z * u)),y \ ((y \ u) \ z)) = T(x,((y \ u) \ z) / y). K(x,K(y,y \ 1) * ((z / T(y,u)) * w)) = K(x,(z / L(T(y,u),y,y)) * w). K(x,(y / T(z,u)) * w) = K(x,(y / L(T(z,u),z,z)) * w). K(x,(y / L(T(z,u),z,z)) * w) = K(x,(y / T(z,u)) * w). K(x,(y / T(z,u)) * w) * K(x,K(w,T(z,u) * y)) = K(x,w * (y / T(T(z,u),z \ 1))). K(x,y * (z * (a(z,u,1 / u) * K(u,u \ 1)))) = K(x,y * L(z,u,u)). K(x,y * ((z * u) * (1 / u))) = K(x,y * L(z,u,u)). K(x,y * ((z * u) * (u \ 1))) = K(x,y * L(z,u,u)). K(x,(y \ z) * ((u * y) * y)) = K(x,((y \ 1) \ z) * L(u,y,y)). K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y \ z) * ((u * y) * y)). K(x,y * R(z,u,u)) = K(x,y * L(z,u,u)). K(x,(y / z) * R(z,u,u)) != w | K(x,(y / (z \ 1)) * R(1 / z,u,u)) = w. K(x,(y / (z \ 1)) * R(1 / z,u,u)) = K(x,(y / z) * L(z,u,u)). K(x,R(y,z,z) * (y \ u)) = K(x,(u / y) * L(y,z,z)). x != K(y,z * ((u * w) * w)) | K(y,z * (w * (w * u))) = x. K(x,(y \ z) * (y * (y * u))) = K(x,((y \ 1) \ z) * L(u,y,y)). K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y \ z) * (y * (y * u))). K(x,y * R(z,u,u)) != w | K(x,y * L(z,u,u)) = w. K(x,(y / (z \ 1)) * L(1 / z,u,u)) = K(x,(y / z) * L(z,u,u)). K(x,y * L(1 / z,u,w)) != v5 | K(x,y * L(z \ 1,u,w)) = v5. K(x,(y / (z \ 1)) * L(z \ 1,u,u)) = K(x,(y / z) * L(z,u,u)). K(x,(y / z) * L(z,u,u)) != w | K(x,R(z,u,u) * (z \ y)) = w. K(x,R(y \ 1,z,z) * ((y \ 1) \ u)) = K(x,(u / y) * L(y,z,z)). K(x,R(y,z,z) * u) != w | K(x,L(y,z,z) * u) = w. K(x,L(y \ 1,z,z) * ((y \ 1) \ u)) = K(x,(u / y) * L(y,z,z)). K(x,a(y,y,z \ 1) \ u) = K(x,(u / z) * L(z,y,y)). K(x,a(y,y,z) \ u) = K(x,(u / z) * L(z,y,y)). K(x,(y / z) * L(z,u,u)) = K(x,a(u,u,z) \ y). L(x,y,(((T(z,u * u) * w) / z) * (u * u)) * v5) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). L(x,y,(((z * z) \ ((u * w) / u)) * (z * z)) * v5) = L(x,y,T(w,(z * z) \ u) * v5). T(x,T(((y \ 1) * z) \ u,w)) = T(x,T(T(z * (y \ 1),y) \ u,w)). T(x,T(T(y * (z \ 1),z) \ u,w)) = T(x,T(((z \ 1) * y) \ u,w)). K(x,y * ((K(z,u) / w) * a(K(u,z) * w,v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). T(T(x,K(y,z)),K(u,w) * (y * z)) = T(x,z * T(K(w * u,w) * y,K(w,u))). T(T(x,K(y,z)),K(u,w) * (y * z)) != v5 | T(x,z * (y * K(u,w))) = v5. T(x,y * (z * K(u,w))) = T(x,y * T(K(w * u,w) * z,K(w,u))). T(x,y * T(K(z * u,z) * w,K(z,u))) = T(x,y * (w * K(u,z))). T(x,y * (K(z * u,z) * w)) = T(x,y * (w * K(u,z))). T(x,y * (K(z * u,w) * v5)) != v6 | T(x,y * (K(z \ u,w) * v5)) = v6. T(x,y * (K(z \ u,z) * w)) = T(x,y * (w * K(u,z))). T(x,y * ((z / u) \ w)) = T(x,y * (((u \ z) \ w) * K(z,u))). T(x,y * (((z \ u) \ w) * K(u,z))) = T(x,y * ((u / z) \ w)). T(x,K(L(y,z,u),w) * v5) != v6 | T(x,K(y,w) * v5) = v6. T(x,K(y,z) * (u * (w * (v5 * y)))) = T(x,u * ((w * v5) * T(L(y,v5,w),z))). T(x,K(y,z) * (u * (w * (v5 * y)))) = T(x,u * (w * (v5 * T(y,z)))). T(x,K(y,z) * (u * (w * (v5 * y)))) = T(x,u * (w * (v5 * T(y,y * z)))). T(x,K(y,z) * (u * (w * (v5 * y)))) != v6 | T(x,u * (w * (v5 * T(y,z)))) = v6. T(x,y * (z * (u * T(w,v5)))) = T(x,y * (z * (u * T(w,w * v5)))). T(x,y * (z * (u * T(w,w * v5)))) = T(x,y * (z * (u * T(w,v5)))). T(x,y * (z * (u * T(w,w * v5)))) != v6 | T(x,y * (z * (u * ((w \ v5) \ v5)))) = v6. T(x,y * (z * (u * ((w \ v5) \ v5)))) = T(x,y * (z * (u * T(w,v5)))). x != y / (y * a(z,u,K(w,v5))) | a(v5,u,K(w,z)) = x. a(x * (y * T(z,u)),w,K(v5,v6)) = a(K(u,z) * (x * (y * z)),w,K(v5,v6)). a(K(x,y) * (z * (u * y)),w,K(v5,v6)) = a(z * (u * T(y,x)),w,K(v5,v6)). a(x * y,z,K(u,w)) = a(K(y,v5) * (x * T(y,v5)),z,K(u,w)). a(K(x,y) * (z * T(x,y)),u,K(w,v5)) = a(z * x,u,K(w,v5)). K(x,L(y / T(z,u),w,v5)) = K(x,L(y * (z \ K(z,u)),w,v5)). K(x,L(y * (z \ K(z,u)),w,v5)) = K(x,L(y / T(z,u),w,v5)). K(x,L(y / ((z * u) / z),w,v5)) = K(x,L(y / T(u,z),w,v5)). K(x,L(y / (z \ K(u,z \ 1)),w,v5)) = K(x,L(y / T(z \ 1,u),w,v5)). K(x,L(y / (T(z,u \ z) / u),w,v5)) = K(x,L(y / T(z / u,z),w,v5)). K(x,L(y / (T(z,u \ z) / u),w,v5)) != v6 | K(x,L(y / (u \ z),w,v5)) = v6. T(x,y \ ((y \ ((y \ z) * (y \ z))) \ u)) = T(x,y * ((z / (1 / (y \ z))) \ u)). K(x,(y \ T(z,u * w)) * v5) = K(x,(y \ T(z,u \ w)) * v5). K(x,(y \ T(z,u \ w)) * v5) = K(x,(y \ T(z,u * w)) * v5). (x * K(y,(z \ T(u,w * v5)) * v6)) \ x = K((z \ T(u,w \ v5)) * v6,y). K((x \ T(y,z * u)) * w,v5) = K((x \ T(y,z \ u)) * w,v5). K((x \ T(y,z \ u)) * w,v5) = K((x \ T(y,z * u)) * w,v5). L(x,y,T((z * u) / z,w * w) * v5) = L(x,y,T(u,(w * w) \ z) * v5). L(x,y,((z * u) / z) * w) = L(x,y,T(u,(v5 * v5) \ z) * w). L(x,y,T(z,(u * u) \ w) * v5) = L(x,y,((w * z) / w) * v5). x != L(y,z,((u * w) / u) * v5) | L(y,z,T(w,u) * v5) = x. L(x,y,T(z,u) * w) = L(x,y,T(z,(v5 * v5) \ u) * w). L(x,y,T(z,(u * u) \ w) * v5) = L(x,y,T(z,w) * v5). K(x,(L(1 / y,z,y) * a(u,w,K(v5,v6))) * v7) = K(x,(a(u,w,K(v5,v6)) / y) * v7). K(x,(y * a(z,u,K(w,v5))) * v6) != v7 | K(x,y * v6) = v7. K(x,L(1 / y,z,y) * u) = K(x,(a(w,v5,K(v6,v7)) / y) * u). K(x,(a(y,z,K(u,w)) / v5) * v6) != v7 | K(x,L(v5 \ 1,v8,v5) * v6) = v7. K(x,L(T(y * z,y \ 1) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). K(x,L(T(y * z,y * 1) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). K(x,L(T(y * z,y) / u,u,y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). K(x,L(T(y,z) / u,u,z)) != w | K(x,(z * y) / (u * z)) = w. K(x,(y * (y * z)) / (u * y)) = K(x,(y * ((1 / y) * z)) / (u * (y \ 1))). K(x,(y * ((1 / y) * z)) / (u * (y \ 1))) = K(x,(y * (y * z)) / (u * y)). K(x,(y * ((1 / y) * z)) / u) != w | K(x,L(z,y,y) / u) = w. K(x,L(y,z,z) / (u * (z \ 1))) = K(x,(z * (z * y)) / (u * z)). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). x != y * L(K(z,T(u,y)),w,v5) | L(K(z,u),w,v5) * y = x. L(K(x,y),z,u) * w = (K(x,y) * w) * (K(y,x) * L(K(x,y),z,u)). (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. (K(x,y) * z) * u != w | (K(x,y) * (z * u)) * a(x,z,K(u,y)) = w. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. (a(x,x,L(y,z,u)) \ K(w,v5)) / K(w,v5) = L((a(x,x,y) \ K(w,v5)) / K(w,v5),z,u). L((a(x,x,y) \ K(z,u)) / K(z,u),w,v5) = (a(x,x,L(y,w,v5)) \ K(z,u)) / K(z,u). x != (y \ K(z,u)) / K(z,u) | y \ 1 = x. a(x,x,L(y,z,u)) \ 1 = L((a(x,x,y) \ K(w,v5)) / K(w,v5),z,u). L((a(x,x,y) \ K(z,u)) / K(z,u),w,v5) = a(x,x,L(y,w,v5)) \ 1. L(a(x,x,y) \ 1,z,u) = a(x,x,L(y,z,u)) \ 1. L(a(x,x,y) \ 1,z,u) != w \ 1 | a(x,x,L(y,z,u)) = w. K(x,K(y,z \ (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). K(x,K(y,z * (u \ w))) * K(K(x,y),K(w,z * u)) = K(x,K(y,w * ((z \ 1) * u))). K(x,K(y,z * (u \ w))) * 1 = K(x,K(y,w * ((z \ 1) * u))). K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,u * (w \ z))) * 1. K(x,K(y,z * (u \ w))) = K(x,K(y,w * ((z \ 1) * u))). K(x,K(y,z * ((u \ 1) * w))) = K(x,K(y,u * (w \ z))). K(x,K(y,z * ((u \ 1) * w))) != v5 | v5 = K(x,K(y,u * (w \ z))). K(x,K(y,z * ((u \ 1) * w))) != v5 | K(x,K(y,u * (w \ z))) = v5. K(x,K(y,z * u)) * K(x,y \ ((w / (w / z)) * u)) = K(x,((w / (w / z)) * u) / y). K(x,K(y * z,y) * (u * (w / ((y \ 1) \ 1)))) = K(x,u * (w / T(y,y \ z))). K(x,(y * (z / ((u \ 1) \ 1))) * K(w,u)) = K(x,y * (z / T(u,u \ w))). K(x,y * ((z / ((u \ 1) \ 1)) * K(w,u))) = K(x,y * (z / T(u,u \ w))). K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,u \ w))). x != K(y,z * (u / T(w,v5 \ v6))) | K(y,z * (u / T(w,v5 * v6))) = x. K(x,y * (z / T(u,u * w))) = K(x,y * (z / T((u \ 1) \ 1,w))). K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,u * w))). x != K(y,z * (u * (T(w,w * v5) * v5))) | K(y,z * (u * T(w * v5,w))) = x. K(x,y * (z * T(u * w,u))) = K(x,y * (z * T((u * (w * u)) / u,T(u,u * w)))). K(x,y * (z * T((u * (w * u)) / u,T(u,u * w)))) = K(x,y * (z * T(u * w,u))). K(x,y * (z * T((u * (w * u)) / u,T(u,w)))) = K(x,y * (z * T(u * w,u))). K(x,y * (z * T(u * w,K(w,u)))) = K(x,y * (z * T(w * u,w))). K(x,y * (z * T(u * w,u))) != v5 | K(x,y * (z * (w * u))) = 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,y * (z * ((1 / u) * (u * w)))) = K(x,y * (z * R(w,u,u))). K(x,(y * (T(z,u) * u)) * w) = K(x,T(w,y * (u * z)) * (y * (u * z))). K(x,T(y,z * (u * w)) * (z * (u * w))) = K(x,(z * (T(w,u) * u)) * y). K(x,y \ (z * (T(u,w) * w))) = K(x,(y \ 1) * (z * (w * u))). K(x,y \ (z * (u * w))) = K(x,y \ (z * (T(w,u) * u))). K(x,y \ (z * (T(u,w) * w))) = K(x,y \ (z * (w * u))). K(x,y \ ((T(z,u) * u) * w)) = K(x,y \ (T(w,u * z) * (u * z))). K(x,y \ (T(z,u * w) * (u * w))) = K(x,y \ ((T(w,u) * u) * z)). K(x,y * (z * L(u,w,w))) = K(x,y * (z * R(u,w,w))). K(x,y * (z * R(u,w,w))) = K(x,y * (z * L(u,w,w))). K(x,y * ((z * u) * R(L(w,u,z),v5,v5))) = K(x,y * (z * (u * L(w,v5,v5)))). K(x,y \ ((z * u) * w)) = K(x,y \ ((T(u,z) * z) * w)). K(x,y \ ((T(z,u) * u) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ ((T(z,u * z) * u) * w)) = K(x,y \ ((u * L(z,u,z)) * w)). K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,y \ (((K(u,w) * K(u,w)) * z) * v5)). K(x,y \ (((K(z,u) * K(z,u)) * w) * v5)) = K(x,y \ ((w * (K(z,u) * K(z,u))) * v5)). K(x,(y * (z * u)) * w) = K(x,(y * (T(u,z) * z)) * w). K(x,(y * (T(z,u) * u)) * w) = K(x,(y * (u * z)) * w). K(x,(y * (z * u)) * w) = K(x,(y * (u * ((u * z) / u))) * w). K(x,(y * (z * ((z * u) / z))) * w) = K(x,(y * (u * z)) * w). K(x,(y * T(z * u,z)) * w) = K(x,(y * (u * z)) * w). K(x,(y * T((z * u) * (1 / z),z * u)) * w) != v5 | K(x,(y * R(u,z,z)) * w) = v5. K(x,(y * R(z,u,u)) * w) = K(x,(y * ((1 / u) * (u * z))) * w). K(x,(y * ((1 / z) * (z * u))) * w) = K(x,(y * R(u,z,z)) * w). K(x,(y * T(z,u)) * w) = K(x,(y * ((u \ z) * u)) * w). K(x,(y * ((z \ u) * z)) * w) = K(x,(y * T(u,z)) * w). K(x,L(y,y \ z,u) * (u * (y \ z))) = K(x,(u * T(z,y)) * K(y,u * (y \ z))). K(x,(y * T(z,u)) * K(u,y * (u \ z))) = K(x,L(u,u \ z,y) * (y * (u \ z))). K(x,(y * L(z,u,u)) * w) = K(x,(y * R(z,u,u)) * w). K(x,(y * R(z,u,u)) * w) = K(x,(y * L(z,u,u)) * w). K(x,(y * R(1 / y,z,z)) * u) != w | K(x,a(y,z,z) * u) = w. K(x,a(y,z,z) * u) = K(x,(y * L(1 / y,z,z)) * u). K(x,(y * L(1 / y,z,z)) * u) = K(x,a(y,z,z) * u). K(x,(y * L(1 / z,u,w)) * v5) != v6 | K(x,(y * L(z \ 1,u,w)) * v5) = v6. K(x,(y * L(y \ 1,z,z)) * u) = K(x,a(y,z,z) * u). K(x,(y \ L(y,z,z)) * u) = K(x,a(y,z,z) * u). K(x,a(y,y,z) \ u) = K(x,a(z,y,y) * u). K(x,(y \ L(y,z,u)) * w) != v5 | K(x,L(y,z,u) * (y \ w)) = v5. K(x,L(y,z,z) * (y \ u)) = K(x,a(y,z,z) * u). K(x,a(y,y,z) \ u) != w | K(x,(u / z) * L(z,y,y)) = w. K(x,(y / z) * L(z,u,u)) = K(x,a(z,u,u) * y). K(x,y * L(z,u,u)) = K(x,a(z,u,u) * (y * z)). K(x,a(y,z,z) * (u * y)) = K(x,u * L(y,z,z)). K(x,y * (z * (u * R(w,v5,v5)))) = K(x,y * (z * (u * L(w,v5,v5)))). K(x,y * (z * (u * R(1 / u,w,w)))) != v5 | K(x,y * (z * a(u,w,w))) = v5. K(x,y * (z * a(u,w,w))) = K(x,y * (z * (u * L(1 / u,w,w)))). K(x,y * (z * (u * L(1 / u,w,w)))) = K(x,y * (z * a(u,w,w))). K(x,y * (z * (u * L(1 / u,w,v5)))) != v6 | K(x,y * (z * (u \ L(u,w,v5)))) = v6. K(x,y * (z * (u \ L(u,w,w)))) = K(x,y * (z * a(u,w,w))). K(x,y * (z * (u \ L(u,w,w)))) != v5 | K(x,y * ((u \ L(u,w,w)) * z)) = v5. K(x,y * ((z \ L(z,u,u)) * w)) = K(x,y * (w * a(z,u,u))). K(x,y * K(z,u * (z \ w))) != v5 | K(x,K(z,u * w) * y) = v5. K(x,K(y,z * u) * (z * T(u,y))) = K(x,L(y,y \ u,z) * (z * (y \ u))). K(x,L(y,y \ z,u) * (u * (y \ z))) = K(x,K(y,u * z) * (u * T(z,y))). K(x,y \ ((z * (T(T(z,u),u) \ w)) * v5)) = K(x,y \ ((w * (K(u,z) * K(u,z))) * v5)). K(x,y \ (z * (T(T(z,u),u) \ (w * v5)))) = K(x,y \ ((w * (K(u,z) * K(u,z))) * v5)). K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,y \ (w * (T(T(w,u),u) \ (z * v5)))). K(K(x,y * (z * z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. K(K(x,K(y,z)) * K(z,(u / x) * (u \ y)),w) = K(K(z,(u * (u / x)) \ y),w). K(K(x,(y / z) * (y \ u)),w) = K(K(x,(y * (y / z)) \ u),w). K(K(x,(y * (y / z)) \ u),w) = K(K(x,(y / z) * (y \ u)),w). x != K(K(y,z),u) | K(y,K(u,z)) = x. K(x,K(y,(z / u) * (z \ w))) = K(K(x,(z * (z / u)) \ w),y). K(K(x,(y * (y / z)) \ u),w) = K(x,K(w,(y / z) * (y \ u))). x != K(y,K(z,(u / w) * v5)) | K(y,K(z,u * (w * v5))) = x. K(x,K(y,z * (u * (z \ w)))) = K(K(x,(z * (z / u)) \ w),y). K(K(x,(y * (y / z)) \ u),w) = K(x,K(w,y * (z * (y \ u)))). K(x,K(y,(z * (z / u)) \ w)) = K(x,K(y,z * (u * (z \ w)))). K(x,K(y,z * ((u \ z) \ w))) = K(x,K(y,z * (u * (z \ w)))). T(x,y * (z * (T(u,T(w,v5)) * ((w \ v5) \ v5)))) = T(x,y * (z * (T(w,w \ v5) * u))). T(x,y * (z * (u * ((w \ v5) \ v5)))) != v6 | T(x,y * (z * (u * T(w,v5)))) = v6. T(x,y * (z * (T(u,T(w,v5)) * T(w,v5)))) = T(x,y * (z * (T(w,w \ v5) * u))). T(x,y * (z * (T(u,w) * w))) != v5 | T(x,y * (z * (w * u))) = v5. T(x,y * (z * (T(u,w) * v5))) = T(x,y * (z * (T(u,u \ w) * v5))). T(x,y * (z * (T(u,u \ w) * v5))) = T(x,y * (z * (T(u,w) * v5))). K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). K(x,y * (z / T(u,w))) = K(x,y * (z / T(T(u,w),u \ 1))). K(x,y * (z / T(T(u,w),u \ 1))) = K(x,y * (z / T(u,w))). K(x,y * (z / T(T(u,w),u \ v5))) != v6 | K(x,y * (z / T((u \ v5) \ v5,w))) = v6. K(x,y * (z / T((u \ 1) \ 1,w))) = K(x,y * (z / T(u,w))). K(x,y * (z / T((u \ 1) \ 1,w))) != v5 | K(x,y * (z / T(u,u * w))) = v5. K(x,y * (z / T(u,u * w))) = K(x,y * (z / T(u,w))). K(x,y * (z / T(u,u * w))) != v5 | K(x,y * (z / ((u \ w) \ w))) = v5. K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,w))). K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(w,(z \ u) \ u) / T(z,u))). K(x,y * (T(z,(u \ w) \ w) / T(u,w))) = K(x,y * (((u \ w) \ w) \ z)). K(x,y * (T(z,T(u,w)) / T(u,w))) = K(x,y * (((u \ w) \ w) \ z)). K(x,y * (T(z,u) \ w)) = K(x,y * (((z \ u) \ u) \ w)). K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). K(x,(((y \ z) \ z) \ u) * w) = K(x,T(w,T(y,z) * u) * (T(y,z) \ u)). K(x,T(y,T(z,u) * w) * (T(z,u) \ w)) = K(x,(((z \ u) \ u) \ w) * y). K(x,(T(y,z) \ u) * w) = K(x,(((y \ z) \ z) \ u) * w). K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). K(x,((((1 / y) \ z) \ ((y * y) * z)) \ u) * w) = K(x,(T(y,(y * y) * z) \ u) * w). K(x,(T(y,y * z) \ u) * w) = K(x,(T(y,(y * y) * z) \ u) * w). K(x,(T(y,(y * y) * z) \ u) * w) = K(x,(T(y,y * z) \ u) * w). K(x,(L(T(y,z),y,y) \ u) * w) = K(x,(T(y,y * z) \ u) * w). K(x,(L(T(y,z),y,y) \ u) * w) != v5 | K(x,(T(y,z) \ u) * w) = v5. K(x,(T(y,z) \ u) * w) = K(x,(T(y,y * z) \ u) * w). K(x,(T(y,y * z) \ u) * w) = K(x,(T(y,z) \ u) * w). K(x,(T(y,y * z) \ u) / w) = K(x,(T(y,z) \ u) * (1 / w)). K(x,(T(y,y * z) \ u) / w) != v5 | K(x,(T(y,z) \ u) / w) = v5. T(x / K(y,L(T(z,u),w,v5)),K(K(y,L(z,w,v5)),u)) = K(u,K(y,z)) * (x / K(y,L(z,w,v5))). 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,K(y,z)) * (u \ (y * w)) = u \ (T(y,K(x,z)) * w). K(x,y \ (T(z,K(u,w)) * v5)) != v6 | K(x,y \ (z * v5)) = v6. K(x,K(y * z,y * (u \ z))) * K(x,L(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). T(x * K(L(T(y,z),u,w),v5),K(K(v5,L(y,u,w)),z)) = K(z,K(v5,y)) * (x / K(v5,L(y,u,w))). (((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))). K(x,K(y * z,y * (u \ z))) * K(x,L(T(u,y),y,z)) = K(x,(y * z) \ ((y * u) * z)). T(x * K(T(y,z),L(u,w,v5)),K(K(u,L(y,w,v5)),z)) = K(z,K(u,y)) * (x / K(u,L(y,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,T(u,w))) = a(x,y,K(z,u)). a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x * (y / x),z,K(u,w)) = a(w,z,K(u,y)). 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),z)) = a(x,y,K(z * (w \ u),z)). (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = w * a(x,y,K(z,w)). K(x,T(y,z)) * a(x,u,K(y \ (w \ v5),y)) = K(x,L(T(y,z),u,(w * y) \ v5)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). 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,z,K(u,w)) = a(w,z,K(u,y * x)). a(T(x \ y,y),z,K(u,w)) = v5 / (v5 * a(w,z,K(u,x * y))). x != a(y,z,K(u,w * y)) | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(x * u,y,K(z,x)). a(x * y,z,K(u,x)) = a(x,z,K(u,y)). a(x,y,K(z,u * w)) != v5 | a(x,y,K(z,w * u)) = v5. a(x,y,K(z,x * u)) = a(x,y,K(z,u)). a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),x * u). a(x,y,K(z,x * (u \ (x * w)))) != v5 | a(z,y,K(u * w,x)) = v5. a(x,y,K(z * u,w)) = a(w,y,K(x,z \ (w * u))). a(x,y,K(z,u \ (x * w))) = a(z,y,K(u * w,x)). a(x,y,K(z \ u,w)) != v5 | a(x,y,K(u / z,w)) = v5. a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. a(x,y,K(z,u * (x * w))) = a(z,y,K(u * w,x)). a(x,y,K(z,u * (x * w))) != v5 | a(x,y,K(z,(x \ u) * w)) = v5. a(x,y,K(z,(x \ u) * w)) = a(z,y,K(u * w,x)). a(x,y,K(z,(x * u) * T(w,v5))) = a(z,y,K(T(w * K(x * u,w),v5) * u,x)). a(x,y,K(T(z * K(u * w,z),v5) * w,u)) = a(u,y,K(x,(u * w) * T(z,v5))). a(x * y,z,K(u,w)) != v5 | a(w,z,K(u,y * x)) = v5. T(a(x,y,z),u) = T(a(x,y,z),x * u). T(a(x,y,z),x * u) = T(a(x,y,z),u). T(a(x,y,z),x * (y * z)) != u | ((x * y) * z) / (x * (y * z)) = u. ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),y * z). x != T(a(y,z,u),w * u) | T(a(y,z,u),w) = x. T(a(x,y,z),y) = ((x * y) * z) / (x * (y * z)). ((x * y) * z) / (x * (y * z)) = T(a(x,y,z),y). x != T(a(y,z,u),z) | a(y,z,u) = x. a(x,y,z) = ((x * y) * z) / (x * (y * z)). a(x,y,K(z,u)) = ((x * y) * K(z,T(u,w))) / (x * (y * K(z,T(u,w)))). ((x * y) * K(z,T(u,w))) / (x * (y * K(z,T(u,w)))) = a(x,y,K(z,u)). 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. R(a(x,y,z),u,w) = R(R(x \ R(x,y,z),u,w),x,y * z). R(R(x \ R(x,y,z),u,w),x,y * z) = R(a(x,y,z),u,w). L(a(x,y,z),x,x) = R((1 / x) * R(x,y,z),x,y * z). R((1 / x) * R(x,y,z),x,y * z) = L(a(x,y,z),x,x). a(x,x \ y,z) \ (y * z) = x * ((x \ y) * z). ((x * y) * z) / (x * (y * z)) != u | u = a(x,y,z). ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. K(x,((y * z) * y) \ u) = K(x,(y * (z * y)) \ u). R(x \ R(x,y,z),x,y * z) != u | a(x,y,z) = u. K(x,(y * (z * y)) \ ((z * y) * u)) != w | K(x,L(T(y,z) \ u,u,z * y)) = w. R(x \ R(x,y,z),x,y * z) = L(a(x,y,z),x,x). a(x,y,z) = L(a(x,y,z),x,x). L(a(x,y,z),x,x) = a(x,y,z). x * y != L(a(z,u,w),z,z) | x \ a(z,u,w) = y. (1 / x) \ a(x,y,z) = x * a(x,y,z). (a(x,y,z) \ a(x,y,z)) * (a(x,y,z) \ 1) = L(a(x,y,z) \ 1,x,x). a(x * y,z,K(u,w)) = a(T(x \ y,y),z,K(u,w)). a(T(x \ y,y),z,K(u,w)) = a(x * y,z,K(u,w)). a(x \ y,z,K(u,w)) = a(x * y,z,K(u,w)). K(x,y) * a(z * u,w,K(y,x)) = K(x,L(y,w,z \ u)). x * a(a(y,z,u) * x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). K(x,L(y,z,u * w)) = K(x,L(y,z,u \ w)). K(x,L(y,z,u \ w)) = K(x,L(y,z,u * w)). K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,u * w)) = v5. K(x,y) * a(y,z,K(u * w,x)) = K(x,L(y,z,u \ w)). K(x,L(y,z \ u,(z \ u) \ z)) != w | K(x,L(y,z,(1 / (u / z)) \ z)) = w. K(x,L(y,z,(1 / (u / z)) \ z)) = K(x,L(y,z \ u,(z \ u) * z)). K(x,L(y,z \ u,(z \ u) * z)) = K(x,L(y,z,(1 / (u / z)) \ z)). K(x,L(y / z,u,y \ u)) != w | K(x,u / (z * (y \ u))) = w. K(x,y / (z * (u \ y))) = K(x,L(u / z,y,u * y)). K(x,L(y / z,u,y * u)) = K(x,u / (z * (y \ u))). K(x,L(y,z,u)) = K(x,L(y,z,w * (w * u))). K(x,L(y,z,u * (u * w))) = K(x,L(y,z,w)). K(x,L(y,z,L(u,w,w))) = K(x,L(y,z,u)). K(x,(y * (z \ u)) / ((z \ u) \ u)) != w | K(x,L(y / ((z \ u) \ z),z,z * u)) = w. K(x,((y \ z) \ T(z,y)) \ ((y \ z) \ u)) != w | K(x,L(T(z,y) \ u,T(y,z),y * z)) = w. K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w * u)) = v5. K(x,L(T(y,z),u,(z * y) * u)) = K(x,u / (z * ((z * y) \ u))). K(x,L((y * (z / y)) / u,w,T(z,y) * w)) = K(x,w / (u * ((y * (z / y)) \ w))). K(x,L(y \ z,u,u * z)) = K(x,((z / u) \ y) \ u). K(x,L(T(y,z \ y) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). K(x,L(y \ z,u,u * y)) = K(x,u \ ((y / u) \ z)). K(x,y) * z != K(x,L(y,u,w)) | a(y,u,K(w,x)) = z. a(x,y,K(z \ u,w)) = a(x,y,K(z * u,w)). a(x,y,K(z / u,w)) = a(x,y,K(u * z,w)). a(x,y,K(z,u / (x * w))) = a(z,y,K(x * (u / w),x)). a(x,y,K(z * (u / w),z)) = a(z,y,K(x,u / (z * w))). a(x,y,K(z * (u / w),z)) != v5 | a(x,y,K(z * (w \ u),z)) = v5. a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,w / (z * u))). x != a(y,z,K(u,w / v5)) | a(y,z,K(u,v5 * w)) = x. a(x,y,K(z,(x * u) * w)) = a(z,y,K(x * (u \ w),x)). a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,(z * u) * w)). x != a(y,z,K(u,(y * w) * v5)) | a(y,z,K(u,w * (y \ v5))) = x. a(x,y,K(z,u * (x \ w))) = a(z,y,K(x * (u \ w),x)). a(x,y,K(z * (u \ w),z)) = a(z,y,K(x,u * (z \ w))). a(x,y,K(z,u \ w)) = a(z,y,K(x,u * (z \ w))). a(x,y,K(z,u * (x \ w))) = a(z,y,K(x,u \ w)). a(x,y,K(z,u * w)) = a(z,y,K(x,u * (z \ w))). a(x,y,K(z,u * (x \ w))) = a(z,y,K(x,u * w)). a(x,y,K(z,u * (x \ w))) != v5 | a(x,y,K(z,(x * u) * w)) = v5. a(x,y,K(z,(x * u) * w)) = a(z,y,K(x,u * w)). K(x,L(T(y,z * y) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,y * z) \ u,y,y * z)) = K(x,z \ ((y \ z) * u)). K(x,(y * (y * z)) \ ((y * z) * u)) = K(x,z \ ((y \ z) * u)). K(x,(y * ((y \ 1) * z)) \ ((y * z) * u)) = K(x,z \ (((y \ 1) \ z) * u)). K(x,L(y,z \ u,T(u,z))) = K(x,L(y,z,(1 / (u / z)) \ z)). K(x,L(y,z \ u,u)) = K(x,L(y,z,(1 / (u / z)) \ z)). K(x,L(y,z \ u,u)) = K(x,L(y,z,(u / z) \ z)). K(x,L(y,z \ u,u)) = K(x,L(y,z,(z \ u) \ z)). x != K(y,L(z,u,w \ v5)) | K(y,L(z,u,w * v5)) = x. K(x,L(y,z,(z \ u) * z)) = K(x,L(y,z \ u,u)). K(x,L(y,z \ u,u)) = K(x,L(y,z,(z \ u) * z)). K(x,L(y,z \ u,u)) = K(x,L(y,z,T(u,z))). x != K(y,L(z,u,T(w,v5))) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,z \ u,u)). K(x,L(y,z \ u,u)) = K(x,L(y,z,u)). ((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y)) = a(x,y,K(z,u)). ((x * y) * K(z,T(u,y))) / L(K(z,u) * y,x,a(x,y,K(z,u))) = (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x. (x \ x) * y != z | y = z. a(x,y,z) \ 1 = L(a(x,y,z) \ 1,x,x). L(a(x,y,z) \ 1,x,x) = a(x,y,z) \ 1. a(x,x,L(y,x,x)) = a(x,x,y). (x * y) * a(x,x,L(x \ y,x,x)) = (x * x) * (x \ y). (x * y) * a(x,x,(1 / x) * y) = (x * x) * (x \ y). (x * y) * a(x,x,x * y) = (x * x) * (x \ y). x != (y * y) * (y \ z) | (y \ 1) \ z = x. (x \ 1) \ y = (x * y) * a(x,x,x * y). (x * y) * a(x,x,x * y) = (x \ 1) \ y. K(x,L(y,z,z) \ ((z * y) * u)) = K(x,y \ (((z \ 1) \ y) * u)). K(x,L(y \ z,1 / y,1 / y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,T(y,z)) * a(x,u,K(y * (w \ v5),y)) = K(x,L(T(y,z),u,(w * y) \ v5)). x != a(y,z,K(u,(y * w) * v5)) | a(u,z,K(y,w * v5)) = x. a(x,y,K(z,u * T(w,v5))) = a(x,y,K(T(w * K(z * u,w),v5) * u,z)). a(x,y,K(T(z * K(u * w,z),v5) * w,u)) = a(x,y,K(u,w * T(z,v5))). a(x,y,K(K(z * u,w) * (T(w,v5) * u),z)) = a(x,y,K(z,u * T(w,v5))). K(x,T(y,z)) * a(x,u,K(y,w \ v5)) = K(x,L(T(y,z),u,(w * y) \ v5)). K(x,T(y,z)) * a(x,u,K(y,w * v5)) = K(x,L(T(y,z),u,(w * y) \ v5)). K(x,T(y,z)) * a(u,w,K(v5,v6)) != v7 | T(K(x,y) * a(u,w,K(v5,v6)),z) = v7. T(K(x,y) * a(x,z,K(y,u * w)),v5) = K(x,L(T(y,v5),z,(u * y) \ w)). T(K(x,L(y,z,u * w)),v5) = K(x,L(T(y,v5),z,(u * y) \ w)). K(x,L(T(y,z),u,(w * y) \ v5)) = T(K(x,L(y,u,w * v5)),z). x != T(K(y,L(z,u,w)),v5) | K(y,L(T(z,v5),u,w)) = x. K(x,L(T(y,z),u,w * v5)) = K(x,L(T(y,z),u,(w * y) \ v5)). K(x,L(T(y,z),u,(w * y) \ v5)) = K(x,L(T(y,z),u,w * v5)). K(x,L(T(y,z),u,(w * y) * v5)) = K(x,L(T(y,z),u,w * v5)). K(x,L(T(y,z),u,(z * y) * u)) != w | K(x,u / (z * ((z * y) \ u))) = w. K(x,y / (z * ((z * u) \ y))) = K(x,L(T(u,z),y,z * y)). K(x,y) * (z * u) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). x / (y * K(z,u)) = L((x * K(u,z)) / y,y,K(z,u)). L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). R(x,y,K(z,T(u,y))) != w | ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = w. ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = L(x,y,K(z,T(u,y))). R((x * y) / z,z,K(y,x)) != u | (y * x) / (z * ((x * y) \ (y * x))) = u. (x * y) / (z * ((y * x) \ (x * y))) = L((y * x) / z,z,K(x,y)). L((x * y) / z,z,K(y,x)) = (y * x) / (z * ((x * y) \ (y * x))). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * T(K(z,u),y). K(x,y / (z * K(u,w))) = K(x,(y * K(w,u)) / z). K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). K(x,(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(u,z))) = v5. K(x,y * (z \ K(u,w))) = K(x,y / (z * K(u,w))). K(x,y / (z * K(u,w))) = K(x,y * (z \ K(u,w))). x != K(y,z / (u * K(w,v5))) | K(y,z * (u \ K(v5,w))) = x. K(x,y * (z \ K(u,w))) = K(x,(K(u,w) * y) / z). 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 * (z \ K(w,u))) = v5. K(x,y * (z \ K(u,w))) = K(x,y * (z \ K(w,u))). K(x,y / (z * (u * K(w,u)))) = K(x,y * ((z * u) \ K(w,u))). K(x,y / (z * T(u,w))) = K(x,y * ((z * u) \ K(u,w))). K(x,y * ((z * u) \ K(u,w))) = K(x,y / (z * T(u,w))). K(x,y / L(z * K(u,w),u,u)) = K(x,y * (L(z,u,u) \ K(u,w))). x \ y != K(z,(K(u,w) * v5) / v6) | x * K(z,v5 * (v6 \ K(u,w))) = y. x * K(x,y * (z \ K(u,w))) = T(x,(K(u,w) * y) / z). K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(z \ y,z))). K(x,(y \ K(z,u)) * w) * K(x,K(y \ K(z,u),w)) = K(x,w * (y \ K(u,z))). x != K(y,z * (u \ K(w \ v5,v6))) | K(y,z * (u \ K(w * v5,v6))) = x. K(x,y * (z \ K(u * w,v5))) = K(x,y * (z \ K(v5,u \ 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 * ((z \ w) \ K(u,z))). K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). K(x,T(y,z * K(u,w)) * (z \ K(w,u))) != v5 | K(x,(z \ K(u,w)) * y) = v5. x * (y * K(z * z,u)) != (w * y) * K(z * z,u) | w = x. x = L(x,y,K(z * z,u)). L(x,y,K(z * z,u)) = x. x * (y * K(z \ 1,y * z)) = (x * y) * K(z \ 1,y * z). (x * y) * K(z \ 1,y * z) = x * (y * K(z \ 1,y * z)). x * ((y / z) * K(y,z)) = (x * (y / z)) * K(y,z). (x * (y / z)) * K(y,z) = x * ((y / z) * K(y,z)). x * (y * K(z,y * x)) = (x * y) * K(z,y * x). (x * y) * K(z,y * x) = x * (y * K(z,y * x)). L(x,y,T(z * z,u)) = x. x \ (T(y * y,z) \ u) = (T(y * y,z) * x) \ u. (T(x * x,y) * z) \ u = z \ (T(x * x,y) \ u). L(x \ T(y,z * z),x,T(z * z,u)) != w | (T(z * z,u) * x) \ (y * T(z * z,u)) = w. (T(x * x,y) * z) \ (u * T(x * x,y)) = z \ T(u,x * x). (x * (y / z)) * K(y,z) = x * (y / T(z,y)). K(x,y * (z * (u / T(w,u)))) = K(x,y * (z * (w \ u))). (x * y) * K(z,y * x) != u | (x * K(z,x * y)) * y = u. (x * K(y,x * z)) * z = x * (z * K(y,z * x)). x / (y * (z * K(u,z * y))) = (x / (y * z)) * K(z * y,u). (x * (y * K(z,y * x))) / u = (x * y) / (u * K(y * x,z)). x * y != (z * K(u,z * w)) * w | (z * (w * K(u,w * z))) / y = x. (x * (y * K(z,y * x))) / (y * (x * K(z,x * y))) = K(x * K(z,x * y),y). K(x,y * ((z * u) \ K(u,w))) != v5 | K(x,y / (z * (u * K(w,u)))) = v5. K(x,y / (z * (u * K(w,u)))) = K(x,y / (z * T(u,w))). 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(T(x,K(y,z)),(K(u,w) * z) / y) != v5 | T(x,y \ (K(u,w) * z)) = v5. T(x,y \ (K(z,u) * w)) = T(T(x,K(y,w)),w * (y \ K(z,u))). T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,y \ (K(u,w) * z)). x \ y != K(z,u * ((w \ v5) \ K(v6,w))) | x * K(z,u / (T(w,v6) \ v5)) = y. x * K(x,y / (T(z,u) \ w)) = T(x,y * ((z \ w) \ K(u,z))). T(x,y * ((z \ u) \ K(w,z))) = x * K(x,y / (T(z,w) \ u)). K(x,(y * (z / T(u,z))) * w) = K(x,T(w,y * (z / T(u,z))) * (y * (u \ z))). K(x,T(y,z * (u / T(w,u))) * (z * (w \ u))) = K(x,(z * (u / T(w,u))) * y). x \ T(x,y * (z * (u \ w))) = K(x,y * (z * (w / T(u,w)))). K(x,y * (z * (u / T(w,u)))) = x \ T(x,y * (z * (w \ u))). K(x,y / (z * (u * K(u \ w,u)))) = K(x,y / (z * ((u \ w) \ w))). K(x,y / (z * ((u \ w) \ w))) = K(x,y / (z * (u * K(u \ w,u)))). K(x,y / (z * u)) = K(x,y / (z * T(T(u,w),w))). K(x,y / (z * T(T(u,w),w))) = K(x,y / (z * u)). K(x,y / ((z \ 1) * T(u,z))) != w | K(x,y / (u * (z \ 1))) = w. K(x,y / (T(z,u) * (u \ 1))) = K(x,y / ((u \ 1) * z)). K(x,y / (T(z,u) * u)) = K(x,y / (u * z)). K(x,(y * z) \ T(u,y * z)) = K(x,u / (T(z,y) * y)). K(x,(y * z) / (y * u)) != w | K(x,(y \ z) / (y \ u)) = w. K(x,(T(y,z) \ u) / (T(y,z) \ z)) = K(x,(T(y,z) * u) / (z * y)). K(x,T(y * z,u \ y) / (T(y,u) * (u \ 1))) != w | K(x,L((1 / T(u,y)) \ z,u,y)) = w. K(x,L((1 / T(y,z)) \ u,y,z)) = K(x,T(z * u,y \ z) / ((y \ 1) * z)). K(x,T(y * z,u \ y) / ((u \ 1) * y)) = K(x,L((1 / T(u,y)) \ z,u,y)). K(x,y / (T(z,u) * u)) != w | K(x,y / (u * z)) = w. x \ (y * K(z,y)) = (x \ y) * K(z,y). x \ ((y * z) / y) = (x \ z) * K(y,z). x \ (y / z) = (x \ (z \ y)) * K(z,z \ y). (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). x \ (y / (y / z)) = (x \ z) * K(z \ y,z). L(x,y,z \ ((u * w) / u)) = L(x,y,(z \ w) * K(w,u)). K(x,y \ ((z * u) / z)) != w | K(x,y \ T(u,z)) = w. K(x,K(y,z)) * K(x,T(y,u) / z) != w | K(x,z \ T(y,u)) = w. L(x,y,z \ ((u * w) / u)) = L(x,y,z \ T(w,u)). K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,y \ T(u,z))) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). (x * y) * K(z,T(u,y)) = L(x,y,K(z,u)) * (K(z,u) * y). L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). K(x,y / (z * (u * K(u \ w,u)))) != v5 | K(x,y / T((w / (w / u)) * z,u)) = v5. K(x,y / T((z / (z / u)) * w,u)) = K(x,y * ((w * u) \ K(u \ z,u))). 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(u,w \ v5))). K(x,y * (z \ K(u,w \ v5))) = K(x,y * (z \ K(u,w * v5))). (x * y) * K(z \ 1,z * y) = x * (y * K(z \ 1,y * z)). x \ (y * T(z * z,u)) != w | (x \ y) * T(z * z,u) = w. ((T(x * x,y) * z) \ u) * T(x * x,y) = z \ T(u,x * x). T(x,y / (T(z,u) \ w)) = T(x,y * ((z \ w) \ K(u,z))). T(x,y * ((z \ u) \ K(w,z))) = T(x,y / (T(z,w) \ u)). T(x,y * (z * (u / T(w,u)))) = T(x,y * (z * (w \ u))). T(x,y * ((z / T(u,z)) * w)) = T(x,y * (T(w,z / T(u,z)) * (u \ z))). T(x,y * (T(z,u / T(w,u)) * (w \ u))) = T(x,y * ((u / T(w,u)) * z)). T(x,y * (z * (T(u,w) / w))) = T(x,y * (z * (w \ u))). T(x,y * (z * ((u \ w) / u))) = T(x,y * (z * (u \ (w / u)))). T(x,(y * (T(z,u) / u)) * w) = T(x,T(w,y * (u \ z)) * (y * (u \ z))). T(x,T(y,z * (u \ w)) * (z * (u \ w))) = T(x,(z * (T(w,u) / u)) * y). T(x,(T(y,z \ y) / T(z,y)) * (y * (T(y,z) / z))) != u | T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = u. T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(T(y,z \ y) / T(z,y)) * (y * (z \ y))). K(x,y * (z \ K(u,T(w / v5,w)))) = K(x,y * (z \ K(u,v5 * w))). (x * y) * K(x \ 1,x * y) != z | L(y,x,x \ 1) / (1 / x) = z. L(x,y,y \ 1) / (1 / y) = y * (x * K(y \ 1,x * y)). x * (y * K(x \ 1,y * x)) = L(y,x,x \ 1) / (1 / x). x * (y * K(x \ 1,y * x)) = L(y,x,x) / (1 / x). L(x / (y \ 1),y,y) = L(x,y,y) / (1 / y). L(x / T(y,y \ 1),y \ 1,y \ 1) = L(x,y \ 1,y \ 1) / (1 / (y \ 1)). L(x / (T(y,y \ 1) \ 1),T(y,y \ 1),T(y,y \ 1)) = L(x,T(y,y \ 1),T(y,y \ 1)) / (y \ 1). (x \ (T(y * y,z) \ u)) * T(y * y,z) = x \ T(u,y * y). (T(x * x,y) \ z) * T(x * x,y) = T(z,x * x). K(x,y * y) * T(x \ z,y * y) = K(y * y,u) * (((T(y * y,u) * x) \ z) * (y * y)). K(x * x,y) * (((T(x * x,y) * z) \ u) * (x * x)) = K(z,x * x) * T(z \ u,x * x). L((x * y) / z,z,K(y,x)) != u | (x * y) / z = u. (x * y) / z = (y * x) / (z * ((x * y) \ (y * x))). (x * y) / (z * ((y * x) \ (x * y))) = (y * x) / z. (x * y) / (z * K(x,y)) = (y * x) / z. (x * y) / (z * y) = (y * x) / (z * T(y,x)). (x * y) / (z * T(x,y)) = (y * x) / (z * x). (x * (y * z)) / (L(x,z,y) * (y * z)) = ((y * z) * x) / (y * (z * x)). K(x,y \ ((z \ u) \ u)) != w | K(x,y \ T(z,u)) = w. K(x,(y * z) * (u \ K(y * w,y))) = K(x,((w / (w / y)) * z) / u). K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(z * y,z))). K(x,y * ((z * u) \ K(u,w))) != v5 | K(x,y / (z * T(u,w))) = v5. K(x,y / (z * T(u,T(w / v5,w)))) = K(x,y * ((z * u) \ K(u,v5 * w))). L(x,x \ y,K(z,y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). x \ (y * (z / y)) = (x \ z) * K(y,y \ z). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). x != ((y * z) * u) / (y * (z * u)) | a(y,z,u) = x. a(x,y,z) = (z * (x * y)) / (L(z,y,x) * (x * y)). K(a(x,y,z) \ 1,u) = K((L(z,y,x) * (x * y)) / (z * (x * y)),u). K((L(x,y,z) * (z * y)) / (x * (z * y)),u) = K(a(z,y,x) \ 1,u). K((L(x,y,z) * u) / (x * u),w) != v5 | a(z,y,K(w,x)) = v5. a(x,y,K(z,u)) = K(a(x,y,u) \ 1,z). K(a(x,y,z) \ 1,u) = a(x,y,K(u,z)). K(x,T(a(y,z,K(u,w)) * v5,a(y,z,w) \ 1)) = K(x,((a(y,z,w) \ 1) \ v5) * T(a(y,z,w) \ 1,u)). K(x,((a(y,z,u) \ 1) \ w) * T(a(y,z,u) \ 1,v5)) = K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)). K(x,y * ((z * u) \ K(u * w,u))) = K(x,y / T((w / (w / u)) * z,u)). K(x,y / T((z / (z / u)) * w,u)) = K(x,y * ((w * u) \ K(u * z,u))). T(x,y * (T(z,u \ w) * (u \ w))) = T(x,y * ((w / T(u,w)) * z)). T(x,y * ((z \ u) * w)) = T(x,y * ((u / T(z,u)) * w)). T(x,y * ((z / T(u,z)) * w)) = T(x,y * ((u \ z) * w)). T(x,y * (((z \ u) / z) * w)) = T(x,y * ((z \ (u / z)) * w)). T(x,(y * (T(z,u) / u)) * w) != v5 | T(x,(y * (u \ z)) * w) = v5. T(x,(y * (1 / z)) * u) != w | T(x,(y * (z \ 1)) * u) = w. x != K(y,z * ((u * w) \ K(w,v5))) | K(y,z / (u * T(w,v5))) = x. K(x,y / (z * T(u,w * v5))) = K(x,y / (z * T(u,T(v5 / w,v5)))). K(x,y / (z * T(u,T(w / v5,w)))) = K(x,y / (z * T(u,v5 * w))). K(x,y / (z * T(u,w \ v5))) = K(x,y / (z * T(u,w * v5))). K(x,T(y,z * T(u,w * v5)) / (z * T(u,w \ v5))) != v6 | K(x,((z * T(u,w \ v5)) \ (y * ((z * T(u,w \ v5)) \ 1))) * (z * T(u,w * v5))) = v6. K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,T(v5,y * T(z,u * w)) / (y * T(z,u * w))). K(x,((y \ 1) * z) \ (z * u)) = K(x,L((1 / T(y,z)) \ u,y,z)). K(x,L((1 / T(y,z)) \ u,y,z)) = K(x,((y \ 1) * z) \ (z * u)). K(x,L(T(y,z) * u,y,z)) = K(x,((y \ 1) * z) \ (z * u)). K(x,L((y \ K(y,z)) * u,y,z)) = K(x,((y \ 1) * z) \ (z * ((y * y) \ u))). K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,L((y \ K(y,z)) * u,y,z)). K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(z,u))) = v5. K(x,y * (z \ K(u,w \ v5))) != v6 | K(x,y * (z \ K(w * v5,u))) = v6. K(x,y / L(K(z,u) * w,z,z)) != v5 | K(x,y * (L(w,z,z) \ K(z,u))) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,T(w,y * K(z,u)) * (y \ K(u,z))) = v5. x / (y * (z * K(u,z * y))) != w | (x / (y * z)) * K(z * y,u) = w. ((x * (y * K(z,y * x))) / (y * x)) * K(x * y,z) = K(x * K(z,x * y),y). K(x,T(y,z * (u \ w)) * (z * (u \ w))) = K(x,(z * (w / T(u,w))) * y). K(x,(y * (z / T(u,z))) * w) != v5 | K(x,(y * (u \ z)) * w) = v5. K(x,(y * (z \ u)) * (w \ 1)) = K(x,(y * (u / T(z,u))) / w). K(x,(y * (z / T(u,z))) / w) = K(x,(y * (u \ z)) * (w \ 1)). 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,K(y,z * (u \ w))) * K(y,(z * (u \ w)) / x) = K(y,x \ (z * (w / T(u,w)))). L(x / T(y,y \ 1),y \ 1,y \ 1) = L(x,y,y) / (1 / (y \ 1)). L(x / T(y,y \ 1),y \ 1,y \ 1) = L(x,y,y) / y. L(x,y \ 1,z \ 1) != u | L(x,y,z) = u. L(x / T(y,y \ 1),y,y) = L(x,y,y) / y. x != y / L(z,z * u,z) | y / (u / (T(u,z) / z)) = x. L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)) = L(x / T(L(y,y * z,y),L(y,y * z,y) \ 1),L(y,y * z,y),L(y,y * z,y)). L(x / T(L(y,y * z,y),L(y,y * z,y) \ 1),L(y,y * z,y),L(y,y * z,y)) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). ((x * y) / ((y * x) * K(y * x,z))) * K(x * y,z) = K(x * K(z,x * y),y). ((x * y) / T(y * x,z)) * K(x * y,z) = K(x * K(z,x * y),y). (K(x,y) * K(z,y * x)) * K(x * y,z) = K(x * K(z,x * y),y). K(x,y) * (K(x * y,z) * K(z,y * x)) = K(x * K(z,x * y),y). K(x,y) * K(x,K(y,z)) = K(x * K(z,x * y),y). K(x * K(y,x * z),z) = K(x,z) * K(x,K(z,y)). K(x * K(y,x * z),z) != u | K(x,T(z,y)) = u. K(x,(y * (z \ u)) / T(z,u)) != w | K(x,L(y / ((z \ u) \ z),z,z * u)) = w. K(x,y \ (z * (u \ w))) = K(x,y \ (z * (w / T(u,w)))). K(x,y \ (z * (u / T(w,u)))) = K(x,y \ (z * (w \ u))). K(x,y \ (z * (T(u,w) / w))) = K(x,y \ (z * (w \ u))). K(x,y \ (T(z,u \ w) * (T(w,u) / u))) != v5 | K(x,y \ ((w / T(u,w)) * z)) = v5. K(x,y \ ((z / T(u,z)) * w)) = K(x,y \ (T(w,u \ z) * (u \ z))). K(x,y \ (T(z,u \ w) * (u \ w))) = K(x,y \ ((w / T(u,w)) * z)). 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,z) * T(u,w * w) | T(K(y,z) * u,w * w) = x. T(K(x,y * y) * (x \ z),y * y) = K(y * y,u) * (((T(y * y,u) * x) \ z) * (y * y)). T(K(x,y * y) * (x \ z),y * y) = K(y * y,u) * ((x \ (T(y * y,u) \ z)) * (y * y)). x != K(y * y,z) * (u * (y * y)) | u * T(y * y,z) = x. (x \ (T(y * y,z) \ u)) * T(y * y,z) = T(K(x,y * y) * (x \ u),y * y). T(K(x,y * y) * (x \ z),y * y) = (x \ (T(y * y,u) \ z)) * T(y * y,u). x != (y \ (T(z * z,u) \ w)) * T(z * z,u) | y \ T(w,z * z) = x. x \ T(y,z * z) = T(K(x,z * z) * (x \ y),z * z). T(K(x,y * y) * (x \ z),y * y) = x \ T(z,y * y). (x \ T(y,z * z)) * u = (((z * z) * x) \ y) * ((z * z) * u). (((x * x) * y) \ z) * ((x * x) * u) = (y \ T(z,x * x)) * u. (x \ ((y * y) \ z)) * ((y * y) * u) = (x \ T(z,y * y)) * u. T(x * K(y,T(L(z,u,w),v5)),K(K(z,L(y,u,w)),v5)) = K(v5,K(z,y)) * (x / K(z,L(y,u,w))). T(x * K(y,L(T(z,u),w,v5)),K(K(z,L(y,w,v5)),u)) = K(u,K(z,y)) * (x / K(z,L(y,w,v5))). T(x * K(y,L(T(z,u),w,v5)),K(z,K(L(y,w,v5),u))) = K(u,K(z,y)) * (x / K(z,L(y,w,v5))). K(x,K(y,z)) * (u / K(y,L(z,w,v5))) = u * K(z,L(T(y,x),w,v5)). K(x,K(y,z)) * (u / K(x,L(y,w,v5))) = u * K(y,L(T(x,z),w,v5)). K(x,K(y,z)) * (u * K(L(y,w,v5),x)) = u * K(y,L(T(x,z),w,v5)). K(x,K(y,z)) * (u * K(y,L(x,w,v5))) = u * K(y,L(T(x,z),w,v5)). K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). K(K(x,y),z) * (u * K(x,L(T(z,y),w,v5))) = u * K(x,L(z,w,v5)). T(K(x,L(T(y,z),u,w)),v5) = K(x,L(T(y,v5),u,w)) * K(x,K(y,z)). K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) = T(K(x,L(T(y,v5),u,w)),z). K(x,K(y,z)) * (u * K(x,L(T(z,y),w,v5))) = u * K(x,L(z,w,v5)). K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) != v6 | K(x,L(T(T(y,v5),z),u,w)) = v6. K(x,K(y,z)) * K(x,L(T(z,y),u,w)) = K(x,L(z,u,w)). K(x,K(y,z)) * K(y,L(T(z,u),w,v5)) != v6 | K(y,L(T(T(z,x),u),w,v5)) = v6. (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)). L(L(x,y,K(z,u)),K(z,u) * y,K(y,w)) != v5 | L(x,T(y,w),K(z,u)) = v5. K(x,K(y,z * u)) * K(x,((K(w,v5) * z) * u) * y) = K(x,y * ((K(w,v5) * z) * u)). K(x,K(y,z * u)) * K(x,K(w,v5) * ((z * u) * y)) = K(x,y * ((K(w,v5) * z) * u)). K(x,K(y,z)) * K(x,K(u,w) * (z * y)) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y * (K(z,u) * (w * v5))) = K(x,y * ((K(z,u) * w) * v5)). K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (K(z,u) * (w * v5))). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (K(u,w) * (z * v5))). K(x,y \ ((z * K(u,w)) * v5)) = K(x,(y \ 1) * (K(u,w) * (z * v5))). K(x,(y \ 1) * (K(z,u) * (w * v5))) = K(x,y \ ((w * K(z,u)) * v5)). K(x,y * (((z \ 1) * K(u,w)) * K(v5,v6))) = K(x,y * (K(u,w) * (z \ K(v5,v6)))). 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 * v5))) = K(x,y \ ((w * K(z,u)) * v5)). K(x,y \ ((z * K(u,w)) * v5)) = K(x,y \ (K(u,w) * (z * v5))). K(x,y * (K(z,u) * ((w \ u) * v5))) = K(x,y * ((w \ T(u,z)) * v5)). K(x,y * (K(z * z,u) * w)) != v5 | K(x,y * w) = v5. K(x,y * ((z \ u) * w)) = K(x,y * ((z \ T(u,v5 * v5)) * w)). K(x,y * ((z \ T(u,w * w)) * v5)) = K(x,y * ((z \ u) * v5)). K(x,y * ((z \ K(u,w)) * K(v5,v6))) = K(x,y * (K(u,w) * (z \ K(v5,v6)))). K(x,y * (((z \ u) \ K(z * w,z)) * K(z,w))) != v5 | K(x,y / (R(z,w,z) \ u)) = v5. K(x,y / (R(z,u,z) \ w)) = K(x,y * (K(z * u,z) * ((z \ w) \ K(z,u)))). K(x,y * (K(z * u,z) * ((z \ w) \ K(z,u)))) = K(x,y / (R(z,u,z) \ w)). K(x,K(y,z) * (u * ((z \ w) \ K(z,y)))) = K(x,u / (R(z,y,z) \ w)). K(x,K(y,z) * (u * (w \ K(z,y)))) != v5 | K(x,u / w) = v5. K(x,y / (z \ u)) = K(x,y / (R(z,w,z) \ u)). K(x,y / (R(z,u,z) \ w)) = K(x,y / (z \ w)). K(x,y / (((z \ u) \ u) \ w)) = K(x,y / (T(z,u) \ w)). K(x,y / ((z \ u) \ u)) != w | K(x,y / T(z,u)) = w. K(x,y / T(z \ u,u)) = K(x,y / (T(z,u) \ u)). K(x,(y \ K(z,y \ 1)) * u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). T(x,y * (z * T((u * w) * (1 / u),u * 1))) = T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))). K(x,T(K(y * (z / y),y) * u,y * (z / y))) = K(x,((y * (z / y)) \ u) * z). K(x,T(K(y,z) * u,z * (y / z))) = K(x,((z * (y / z)) \ u) * y). K(x,T(K(y,z) * u,T(y,z))) = K(x,((z * (y / z)) \ u) * y). K(x,T(y * K(z,u),z)) = K(x,((u * (z / u)) \ y) * z). K(x,((y * (z / y)) \ u) * z) = K(x,T(u * K(z,y),z)). L(x,y,((T(z,u * u) * w) / z) * ((u * u) * v5)) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). T(x,y * (z * T((u * w) * (1 / u),u))) = T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))). T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))) = T(x,y * (z * T((u * w) * (1 / u),u))). T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))) = T(x,y * (z * ((w * u) * (1 / u)))). x != T(y,z * (u * (w * (1 / v5)))) | T(y,z * (u * (w * (v5 \ 1)))) = x. T(x,y * (z * ((u * w) * (w \ 1)))) = T(x,y * (z * ((w \ 1) * (T(w,w \ 1) * u)))). T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))) = T(x,y * (z * ((w * u) * (u \ 1)))). T(x,y * (z * ((u \ 1) * (T(u,u \ 1) * w)))) = T(x,y * (z * R(w,u,u))). T(x,y * (z * ((1 / u) * (u * w)))) = T(x,y * (z * R(w,u,u))). T(x,y * (z * L(u,w,w))) = T(x,y * (z * R(u,w,w))). T(x,y * (z * R(u,w,w))) = T(x,y * (z * L(u,w,w))). T(x,y * (z * R(1 / z,u,u))) != w | T(x,y * a(z,u,u)) = w. T(x,y * a(z,u,u)) = T(x,y * (z * L(1 / z,u,u))). T(x,y * (z * L(1 / z,u,u))) = T(x,y * a(z,u,u)). T(x,y * ((z * u) * R(L(w,u,z),v5,v5))) = T(x,y * (z * (u * L(w,v5,v5)))). T(x,y * (z * L(1 / z,u,w))) != v5 | T(x,y * (z \ L(z,u,w))) = v5. T(x,y * (z \ L(z,u,u))) = T(x,y * a(z,u,u)). x != T(y,z * a(u,w,v5)) | T(y,a(u,w,v5) * z) = x. T(x,a(y,z,z) * u) = T(x,u * (y \ L(y,z,z))). T(x,y * (z \ L(z,u,u))) = T(x,a(z,u,u) * y). T(x,y * (a(z,z,u) \ 1)) = T(x,y * a(u,z,z)). T(x,y * (z \ L(z,u,w))) != v5 | T(x,(z \ L(z,u,w)) * y) = v5. T(x,(y \ L(y,z,z)) * u) = T(x,a(y,z,z) * u). T(x,y * ((z \ ((1 / z) \ u)) \ u)) = T(x,y * a(z \ (z \ u),z,z)). T(x,y * a(z \ (z \ u),z,z)) = T(x,y * ((z \ ((1 / z) \ u)) \ u)). T(x,y * (z * (u * R(w,v5,v5)))) = T(x,y * (z * (u * L(w,v5,v5)))). L(x,y,z * ((u * u) * w)) != v5 | L(x,y,z * w) = v5. L(x,y,((T(z,u * u) * w) / z) * v5) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,((T(w,z * z) * u) / w) * v5). x != L(y,z,((T(u,w) * v5) / u) * v6) | L(y,z,T(K(u,w) * v5,u) * v6) = x. L(x,y,T(K(z,u * u) * w,z) * v5) = L(x,y,T((u * u) * w,(u * u) \ z) * v5). L(x,y,T(z,u) * (w * K(u,v5 * v5))) = L(x,y,T((v5 * v5) * z,(v5 * v5) \ u) * w). L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,T(u,w) * (v5 * K(w,z * z))). x != L(y,z,u * (w * K(v5,v6 * v6))) | L(y,z,u * w) = x. L(x,y,T(z,u) * w) = L(x,y,T((v5 * v5) * z,(v5 * v5) \ u) * w). L(x,y,T((z * z) * u,(z * z) \ w) * v5) = L(x,y,T(u,w) * v5). L(x,y,T(z,(u * u) \ w) * v5) != v6 | L(x,y,T(z,w) * v5) = v6. L(x,y,T((z * z) * u,w) * v5) = L(x,y,T(u,w) * v5). L(x,y,T(((z \ 1) * z) * (1 / z),u) * w) = L(x,y,T(z,u) * w). L(x,y,T(z \ 1,u) * w) = L(x,y,T(z,u) * w). L(x,y,T(z \ 1,u) * (z \ w)) != v5 | L(x,y,K(z \ 1,u) * w) = v5. L(x,y,K(z \ 1,u) * w) = L(x,y,T(z,u) * (z \ w)). L(x,y,T(z,u) * (z \ w)) = L(x,y,K(z \ 1,u) * w). L(x,y,K(z,u) * w) = L(x,y,K(z \ 1,u) * w). L(x,y,K(z \ 1,u) * w) = L(x,y,K(z,u) * w). (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). K(x,T(y * (z * u),K(w,u)) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). K(x,T(y * (z * u),K(u,w)) \ (K(w,L(u,z,y)) \ v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). K(x,T(y * (z * u),K(u,w)) \ (K(L(u,z,y),w) * v5)) = K(x,(y * (z * (u * K(w,u)))) \ v5). K(x,K(y * z,z * (((y / (1 / z)) * u) \ y))) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(x * y,y * (((x / (1 / y)) * z) \ x))). x != K(y,K(z * u,u * (w \ z))) | K(y,K(w,u * z)) = x. K(x,K((y / (1 / z)) * u,z * y)) = K((y / (z \ 1)) * (1 / T(y / (1 / z),u)),x). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K((x / (1 / y)) * z,y * x)). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K((x / (y \ 1)) * z,y * x)). K(x,K(y * z,(z / (y \ 1)) * u)) = K((z / (y \ 1)) * (1 / T(z / (1 / y),u)),x). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,(x / (y \ 1)) * z)). K(x,K(y * z,z * ((y \ 1) * u))) = K((z / (y \ 1)) * (1 / T(z / (1 / y),u)),x). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,x * ((y \ 1) * z))). x != K(y,K(z,u * ((w \ 1) * v5))) | K(y,K(z,w * (v5 \ u))) = x. K(x,K(y * z,y * (u \ z))) = K((z / (y \ 1)) * (1 / T(z / (1 / y),u)),x). K((x / (y \ 1)) * (1 / T(x / (1 / y),z)),u) = K(u,K(y * x,y * (z \ x))). K((x / (y \ 1)) / T(x / (1 / y),z),u) = K(u,K(y * x,y * (z \ x))). T(T(x,y / T(z * u,z)),K(w,(z * (z * u)) * (z * y))) = T(x,T(y / (T(z,z * u) * u),w)). T(T(x,y / (z * u)),K(w,(u * (u * z)) * (u * y))) = T(x,T(y / (T(u,u * z) * z),w)). T(T(x,y / (z * u)),K(w,(u * z) * (u \ (u * y)))) = T(x,T(y / (T(u,u * z) * z),w)). T(T(x,y / (z * u)),K(w,(u * z) * y)) = T(x,T(y / (T(u,u * z) * z),w)). T(T(x,y / (z * u)),K(w,z * (u \ y))) = T(x,T(y / (T(u,u * z) * z),w)). T(T(x,y / (z * u)),K(w,z * (u \ y))) = T(x,T(y / ((u * (u * z)) / u),w)). x != T(y,T(z / ((u * w) / u),v5)) | T(y,T(z / T(w,u),v5)) = x. T(x,T(y / T(z * u,z),w)) = T(T(x,y / (u * z)),K(w,u * (z \ y))). T(T(x,y / (z * u)),K(w,z * (u \ y))) = T(x,T(y / T(u * z,u),w)). x != T(y,T(z / T(u * w,u),v5)) | T(y,T(z / (w * u),v5)) = x. T(x,T(y / (z * u),w)) = T(T(x,y / (z * u)),K(w,z * (u \ y))). T(T(x,y / (z * u)),K(w,z * (u \ y))) = T(x,T(y / (z * u),w)). T(T(x,y / (z * u)),K(w,z * (u \ y))) != v5 | T(x,T(y / (T(u,u * z) * z),w)) = v5. T(x,T(y / (T(z,z * u) * u),w)) = T(x,T(y / (u * z),w)). x != T(y,(T(z,u) / T(w,z)) * v5) | T(y,(w \ T(z,u)) * v5) = x. T(x,(y \ T(z,y \ z)) * (z * (y \ z))) = T(x,(z * (T(z,y) / y)) * (z \ (z * (T(z,y) / y)))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z \ y)) * (y * (z \ y))). x != T(y,(z \ T(u,w \ v5)) * v6) | T(y,(z \ T(u,w * v5)) * v6) = x. T(x,(y \ T(z,y * z)) * (z * (y \ z))) = T(x,(z * (T(z,y) / y)) * (z \ (z * (T(z,y) / y)))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z * y)) * (y * (z \ y))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,y * z)) * (y * (z \ y))). x != T(y,(z \ T(u,u * w)) * v5) | T(y,(z \ T(u,w)) * v5) = x. T(x,(y \ T(z,y)) * (z * (y \ z))) = T(x,(z * (T(z,y) / y)) * (z \ (z * (T(z,y) / y)))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ T(y,z)) * (y * (z \ y))). x != T(y,(z \ T(u,z)) * w) | T(y,(u / z) * w) = x. T(x,(y / z) * (y * (z \ y))) = T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(y / z) * (y * (z \ y))). x != T(y,(z / u) * (w * (u \ z))) | T(y,(u \ z) * (w * (z / u))) = x. T(x,(y \ z) * (z * (z / y))) = T(x,(z * (T(z,y) / y)) * (z \ (z * (T(z,y) / y)))). T(x,(y * (T(y,z) / z)) * (y \ (y * (T(y,z) / z)))) = T(x,(z \ y) * (y * (y / z))). T(x,(y * (T(y,z) / z)) * (T(y,z) / z)) = T(x,(z \ y) * (y * (y / z))). T(x,(y * (T(y,z) / z)) * (z \ y)) = T(x,(z \ y) * (y * (y / z))). T(x,(y * (z \ y)) * (z \ y)) = T(x,(z \ y) * (y * (y / z))). T(x,(y \ z) * ((y \ z) * z)) = T(x,(y \ z) * (z * (z / y))). T(x,(y \ z) * ((y \ z) * z)) != u | T(x,z * (z / (y * ((y \ z) \ 1)))) = u. T(x,y * (y / (z * ((z \ y) \ 1)))) = T(x,(z \ y) * (y * (y / z))). T(x,y * (y / (z * (u \ 1)))) != w | T(x,y * (y * (u / z))) = w. T(x,y * (y * ((z \ y) / z))) = T(x,(z \ y) * (y * (y / z))). T(x,(y \ z) * (z * (z / y))) = T(x,z * (z * ((y \ z) / y))). x != T(y,z * (u * ((w \ v5) / w))) | T(y,z * (u * (w \ (v5 / w)))) = x. T(x,y * (y * (z \ (y / z)))) = T(x,(z \ y) * (y * (y / z))). T(x,(y \ z) * (z * (z / y))) = T(x,z * (z * (y \ (z / y)))). K(x,y \ (z * T(u / (u \ w),u * (u * (w \ (u / w)))))) = K(x,y \ (z * (u * (u / w)))). K(x,y \ (z * T(u,w * (w * v5)))) != v6 | K(x,y \ (z * T(u,v5))) = v6. K(x,y \ (z * T(u / (u \ w),w \ (u / w)))) = K(x,y \ (z * (u * (u / w)))). K(x,y \ (z * T(u / (u \ w),w * (u / w)))) = K(x,y \ (z * (u * (u / w)))). K(x,y \ (z * T(u / (u \ w),T(u,w)))) = K(x,y \ (z * (u * (u / w)))). K(x,y \ (z * T(u,T(w,v5)))) != v6 | K(x,y \ (z * T(u,w))) = v6. K(x,y \ (z * T(u / (u \ w),u))) = K(x,y \ (z * (u * (u / w)))). K(x,y \ (z * ((u \ w) \ u))) = K(x,y \ (z * (u * (u / w)))). L(x / (T(y,y \ 1) \ 1),T(y,y \ 1),T(y,y \ 1)) = L(x,y,y) / (y \ 1). L(x / T(y \ 1,y),T(y,y \ 1),T(y,y \ 1)) = L(x,y,y) / (y \ 1). L(x / (1 / y),T(y,y \ 1),T(y,y \ 1)) = L(x,y,y) / (y \ 1). L(x,T(y,z),T(y,z)) != u | L(x,y,y) = u. L(x / (1 / y),y,y) = L(x,y,y) / (y \ 1). T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * K(L(x,z,u),T(y,v5)). T(K(x,L(y,z,u)),w) * K(v5 / y,K(x,L(y,z,u))) = K(x,K(y,w)) * K(x,L(T(y,v5),z,u)). K(x,L(T(y,z),u,w)) * K(v5 / y,K(x,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,L(T(y,z),u,w)) * K(x,K(v5 / y,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,L(T(y,z),u,w)) * K(x,K(y \ v5,L(y,u,w))) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,L(T(y,z),u,w)) * K(x,K(y \ v5,y)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,L(T(y,z),u,w)) * K(x,K(y,y * v5)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,L(T(y,z),u,w)) * K(x,K(y,v5)) = K(x,K(y,z)) * K(x,L(T(y,v5),u,w)). K(x,K(y,z)) * K(x,L(T(y,u),w,v5)) != v6 | K(x,L(T(T(y,u),z),w,v5)) = v6. K(x,L(y \ z,1 / y,y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,L(y \ z,y,y) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,((1 / y) * z) \ (((y * y) \ z) * u)) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((1 / y) * z) \ (((y * y) \ z) * u)). x != K(y,z \ (((u * u) \ w) * v5)) | K(y,z \ (w * ((u * u) \ v5))) = x. K(x,((1 / y) * z) \ (z * ((y * y) \ u))) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((1 / y) * z) \ (z * ((y * y) \ u))). K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)). K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,((y \ 1) * z) \ (z * ((y * y) \ u))). x != L(y,z,K(u,w) * v5) | L(y,z,v5 * K(u,w)) = x. L(x,L(y,z,K(u,K(w,v5))),z * K(u,K(w,v5))) = (K(u,K(w,v5)) * (z * y)) \ ((K(u,K(w,v5)) * z) * (y * x)). (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. (K(x,K(y,z)) * (u * w)) \ (u * ((w * v5) * K(x,K(y,z)))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). L(L(x,y,K(z,K(u,w))),K(z,K(u,w)) * y,v5) = L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). L(x,K(y,K(z,u)) * w,v5) = L(x,L(w,K(y,K(z,u)),v5),K(y,K(z,u)) * v5). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). L(x,y,z * K(u,K(w,v5))) = L(x,K(u,K(w,v5)) * y,z). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,L(w,u,K(x,K(y,z))),u * K(x,K(y,z))). (K(x,K(y,z)) * (u * w)) \ (u * (w * (v5 * K(x,K(y,z))))) = L(v5,w,u * K(x,K(y,z))). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,y,z * K(u,K(w,v5))). L(x,y,z) = L(x,y,z * K(u,K(w,v5))). L(x,y,z * K(u,K(w,v5))) = L(x,y,z). L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. L(x,y,z * K(u,K(w,v5))) != v6 | L(x,K(u,K(w,v5)) * y,z) = v6. L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). x != L(y,K(z,u),w) | L(y,K(u,z),w) = x. L(x,K(y,z),u) = L(x,K(z,T(y,w)),u). L(x,K(y,T(z,u)),w) = L(x,K(z,y),w). L(x,K(y,T(z,x)),u) != w | R(x,K(y,z),u) = w. R(x,K(y,z),u) = L(x,K(y,z),u). x / (K(y,z) * u) = L((x / u) * K(z,y),K(y,z),u). L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. L(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * T(u,K(y,z)). L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,(y / (K(w,u) * z)) \ 1). (x * K(y,z)) * u != w * (K(y,z) * u) | L(x,K(y,z),u) = w. L(x,K(y,T(z,u)),u) * (u * K(y,z)) = (x * K(y,T(z,u))) * u. (K(x,y) * (K(x,y) * z)) \ (K(x,y) * u) = z \ (L(K(y,x),K(y,x),K(x,y) * u) * u). x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (K(z,y) * (K(z,y) * x)) \ (K(z,y) * u). L(x,K(y,z),u) * (u * K(z,y)) = (x * K(z,T(y,u))) * u. ((K(x,T(y,z)) * K(x,T(y,z))) \ u) \ z = u \ (L(K(x,T(y,z)),K(y,x),z) * (z * K(x,y))). x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = ((K(y,T(z,u)) * K(y,T(z,u))) \ x) \ u. x != T(y,(z / u) \ 1) | T(y,u / z) = x. T(x,(K(y,z) * u) / w) = T(x,L(((w / u) * K(z,y)) \ 1,K(y,z),u)). T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,(K(w,u) * z) / y). x != T(y,(K(z,u) * w) / v5) | T(y,w * (v5 \ K(z,u))) = x. T(x,y * (z \ K(u,w))) = T(x,L(((z / y) * K(w,u)) \ 1,K(u,w),y)). T(x,L(((y / z) * K(u,w)) \ 1,K(w,u),z)) = T(x,z * (y \ K(w,u))). T(x,L(K(y,z) * ((u / w) \ 1),K(y,z),w)) = T(x,w * (u \ K(y,z))). x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (y * (T(T(y,z),z) \ x)) \ (K(z,y) * u). x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = ((K(y,z) * K(y,z)) \ x) \ u. x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = (K(z,y) * (K(z,y) * x)) \ u. x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = (y * (T(T(y,z),z) \ x)) \ u. x != (y * (T(T(y,z),z) \ u)) \ w | u \ (z * (T(T(z,y),y) \ w)) = x. x \ (y * (T(T(y,z),z) \ u)) = x \ (L(K(z,T(y,u)),K(y,z),u) * (u * K(z,y))). x \ (L(K(y,T(z,u)),K(z,y),u) * (u * K(y,z))) = x \ (z * (T(T(z,y),y) \ u)). x \ (K(y,T(z,u)) * (u * K(y,z))) = x \ (z * (T(T(z,y),y) \ u)). (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. a(x,y,K(z,u)) * (w * K(v5,v6)) = (w * a(x,y,K(z,u))) * K(v5,v6). (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * (x * K(x * a(y,z,K(u,w)),v5)). a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * T(w,v5) = T(w * a(x,y,K(z,u)),v5). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). x \ (y * T(y \ x,z)) = K((x \ (y * a(u,w,K(v5,v6)))) \ 1,z). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). x != y \ (z * T(z \ y,u)) | K((y \ z) \ 1,u) = x. K((x \ y) \ 1,z) = K((x \ (y * a(u,w,K(v5,v6)))) \ 1,z). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) != v7 | K(((y * a(z,u,K(w,v5))) / x) \ 1,v6) = v7. K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((T(v5,x) \ x) \ 1,v6). K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). K((T(x,y) \ y) \ 1,z) != u | K((y / x) \ 1,z) = u. K((x / y) \ 1,z) = K(((x * a(u,w,K(v5,v6))) / y) \ 1,z). K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). K(x / y,z) = K(x / (y * a(u,w,K(v5,v6))),z). K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) != v7 | K(x \ (L(K(u,z),w,v5) * y),v6) = v7. K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). x != K((y * z) / (K(u,w) * z),v5) | K(z \ (K(w,u) * (z * y)),v5) = x. K(x \ (K(y,z) * (x * (x \ u))),w) = K(x \ (L(K(y,z),v5,v6) * u),w). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). K((x * K(y,z)) \ (L(K(u,z),w,v5) * v6),v7) != v8 | K(x \ ((K(z,y) * L(K(z,u) \ 1,w,v5)) * v6),v7) = v8. K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). x != K((y * K(z,u)) \ w,v5) | K(y \ (K(u,z) * w),v5) = x. K(x \ (K(y,z) * (K(u,y) * w)),v5) = K(x \ ((K(y,z) * L(K(y,u) \ 1,v6,v7)) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). K(x,y) = K((z * K(u,w)) \ (z * (x * K(u,w))),y). K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). K(L(x,K(y,z),u),w) = K(T(x,K(z,y)),w). K(L(x,K(y,z),u),w) = K(x,w). K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). K(x,L(y,K(z,u),w)) = K(x,y). L(K(x,y),K(z,u),w) = K(x,y). K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K(x \ (K(z,u) * y),w) = v5. K(x \ (K(y,z) * u),w) = K((x \ u) * K(y,z),w). K(L((x / y) * K(z,T(u,y)),K(u,T(z,y)),y),w) != v5 | K(x / (y * K(u,z)),w) = v5. K(x / (y * K(z,u)),w) = K((x / y) * K(u,T(z,y)),w). K((x / y) * K(z,T(u,y)),w) = K(x / (y * K(u,z)),w). x \ y != K(L(z,K(u,w),v5),v6) | x * K(z,v6) = y. (x * (K(y,z) * K(u,w))) * K(w,u) = x * K(y,z). (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). K(x,L((y * z) \ u,z,y)) != w | K(x,z \ (y \ u)) = w. K(x,K(y,z) \ (u \ w)) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). K(x,L((y / z) / u,u,z)) != w | K(x,y / (u * 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(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. K((K(x,y) * z) \ u,w) = K((z \ u) * K(y,x),w). K((x \ K(y,z)) \ u,w) = K(((x \ 1) \ u) * K(z,y),w). K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). x != K(y * K(z,u),w) | K(K(z,u) * y,w) = x. K(K(x,y) * (z \ u),w) = K(z \ (K(x,y) * u),w). K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). x != K(y * K(z,K(u,w)),v5) | K(y,v5) = x. K(x \ y,z) = K(x \ (K(u,K(w,v5)) * y),z). K(x \ (K(y,K(z,u)) * w),v5) = K(x \ w,v5). K(x \ (y * T(z,K(u,w))),v5) = K(x \ (y * z),v5). K(x \ (T(y,T(z,u)) * w),v5) = K(x \ (T(y,z) * w),v5). x * K(y,z) != u * K(w,v5) | (u * K(z,y)) * K(w,v5) = x. (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). (x * (y \ R(y,z,y))) * K(y,y * z) = x * K(y,z). L(x,K(y,z),K(u,w)) = x. (x * K(y,z)) * K(u,w) != v5 | K(u,T(w,x)) * (x * K(y,z)) = v5. K(x,T(y,z)) * (z * K(u,w)) = z * (K(u,w) * K(x,y)). (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). (K(x,y) * K(z,u)) \ w = K(u,z) * (K(y,x) * w). L(x,K(y,z),K(u,w)) != v5 | x = v5. K(x * (y \ K(z,u)),w) = K((x / y) * K(z,u),w). K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). K(K(x,y) * (z / u),w) = K(z / (K(y,x) * u),w). K(x / (K(y,z) * u),w) = K(K(z,y) * (x / u),w). K(x,(y * K(z,u)) \ w) != v5 | K(x,y \ (K(z,u) \ w)) = v5. K(x,y \ (K(z,u) \ w)) = K(x,K(z,u) \ (y \ w)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). K(x,T(y,z * K(u,w)) * (z \ K(w,u))) = K(x,K(w,u) * (z \ y)). K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). K(x,(y * K(z,u)) \ w) != v5 | K(x,y \ (K(u,z) * w)) = v5. K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). K(x,(y / T(z,u)) \ w) = K(x,K(z,u) * ((y / z) \ w)). K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). K(x,(y * T(z,u)) \ w) = K(x,K(u,z) * ((y * z) \ w)). K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). K(x,(y * (z * T(u,w))) \ v5) = K(x,K(w,L(u,z,y)) * ((y * (z * u)) \ v5)). K(x,K(y,L(z,u,w)) * ((w * (u * z)) \ v5)) = K(x,(w * (u * T(z,y))) \ v5). K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,L(u,z,y)) * ((y * z) \ v5)). K(x,K(y,L(z,u,w)) * ((w * u) \ v5)) = K(x,(w * (u * K(z,y))) \ v5). K(x,(y \ T(z,u)) \ w) = K(x,K(u,z) * ((y \ z) \ w)). K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). K(x,y * (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 * K(y,z)) * u,w) = K(((x \ 1) \ u) * K(y,z),w). K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). K((x / y) \ (K(z,x) * u),w) != v5 | K((T(x,z) / y) \ u,w) = v5. K((T(x,y) / z) \ u,w) = K(K(y,x) * ((x / z) \ u),w). K(K(x,y) * ((y / z) \ u),w) = K((T(y,x) / z) \ u,w). K(x \ (y * T(z,T(u,w))),v5) = K(x \ (y * T(z,u)),v5). (x * K(L(y,z,u),w)) * K(w,y) != v5 | K(y,w) \ (L(K(w,y),z,u) \ x) = v5. K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). K(x * (y \ K(z,u)),w) != v5 | K(K(u,z) * (x / y),w) = v5. K((x * T(y,z)) \ u,w) = K(K(z,y) * ((((x * y) \ u) * (x * y)) / (x * y)),w). K(K(x,y) * ((((z * y) \ u) * (z * y)) / (z * y)),w) = K((z * T(y,x)) \ u,w). x != K(K(y,z) * (u / w),v5) | K((w \ u) * K(y,z),T(v5,w)) = x. K((x \ y) * K(z,u),T(w,x)) = K(y / (K(u,z) * x),w). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). K(x,K(y,z) \ (u / w)) = K(x,u / (K(z,y) \ w)). K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). K(x,L((K(y,z) * u) \ w,v5,v6)) = K(L(x,v5,v6),K(z,y) * (u \ w)). K(L(x,y,z),K(u,w) * (v5 \ v6)) = K(x,L((K(w,u) * v5) \ v6,y,z)). x \ y != K(z,(K(u,w) * v5) \ v6) | x * K(z,K(w,u) * (v5 \ v6)) = y. x * K(x,K(y,z) * (u \ w)) = T(x,(K(z,y) * u) \ w). K(x,(T(y,z) * u) \ w) = K(x,K(z,y) * ((y * u) \ w)). K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). K(x,(y * (K(z,y) * u)) \ w) = K(x,K(y,z) * ((y * u) \ w)). K(x,((K(y,z) * u) * w) \ v5) = K(x,K(L(z,u,w),y) * ((u * w) \ v5)). K(x,K(L(y,z,u),w) * ((z * u) \ v5)) = K(x,((K(w,y) * z) * u) \ v5). x != K(y,K(z,u) * w) | K(y,K(u,z) * w) = x. K(x,K(y,z) * (u \ w)) = K(x,u \ (K(z,y) * w)). K(x,y \ (K(z,u) * w)) = K(x,K(u,z) * (y \ w)). K(x,y \ (T(z,u) * w)) = K(x,K(z,u) * (y \ (z * w))). K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). K(x,y \ (T(T(z,u),u) \ w)) = K(x,K(u,z) * (y \ (T(z,u) \ w))). K(x,K(y,z) * (u \ (T(z,y) \ w))) = K(x,u \ (T(T(z,y),y) \ w)). K(x,y \ (T(z,K(u,w)) \ v5)) = K(x,K(z,T(u,w)) * (y \ (T(z,u) \ v5))). K(x,K(y,T(z,u)) * (w \ (T(y,z) \ v5))) = K(x,w \ (T(y,K(z,u)) \ v5)). K(x,y \ L(K(z,u) * w,z,z)) = K(x,K(z,u) * (y \ L(w,z,z))). K(x,y \ (K(z,u) * w)) != v5 | K(x,K(u,z) * (y \ w)) = v5. x \ y != K(z,(u / w) * K(v5,v6)) | x * K(z,u * (w \ K(v6,v5))) = y. x * K(x,y * (z \ K(u,w))) = T(x,(y / z) * K(w,u)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,L(z,v5,v6)) \ w)). K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). x != K(y,(z \ u) \ (K(w,z) \ v5)) | K(y,(T(z,w) \ u) \ v5) = x. K(x,(T(y,z) \ u) \ w) = K(x,K(y,z) \ ((y \ u) \ w)). K(x,K(y,z) \ ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). K(x,(K(y,z) \ u) / (K(y,z) \ w)) != v5 | K(x,T(w \ u,K(y,z) \ w)) = v5. K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). 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(x,K(w,u) * (y \ (z * v5))). K(x,T(y * (z * u),K(u,w)) \ (K(L(u,z,y),w) * v5)) != v6 | K(x,(y * (z * (u * K(w,u)))) \ v5) = v6. K(x,(y * (z * (u * K(w,u)))) \ v5) = K(x,K(w,L(u,z,y)) * (T(y * (z * u),K(u,w)) \ v5)). K(x,K(y,L(z,u,w)) * (T(w * (u * z),K(z,y)) \ v5)) = K(x,(w * (u * (z * K(y,z)))) \ v5). K(x,(y * (z \ u)) \ (K(z \ u,z) * w)) != v5 | K(x,(y * (u / z)) \ w) = v5. K(x,(y * (z / u)) \ w) = K(x,K(u,u \ z) * ((y * (u \ z)) \ w)). K(x,K(y,y \ z) * ((u * (y \ z)) \ w)) = K(x,(u * (z / y)) \ w). K(x,y \ (T(z,u) \ w)) = K(x,K(z,u) * (y \ (z \ w))). K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). (x * (y \ R(y,z,y))) / K(y * z,y) = x * K(y,z). K(x * y,T(x,z)) / (z * K(x,y)) = ((z * (x \ R(x,y,x))) / (K(x,y) * z)) / (K(x,y) * z). ((x * (y \ R(y,z,y))) / (K(y,z) * x)) / (K(y,z) * x) = K(y * z,T(y,x)) / (x * K(y,z)). K((x / y) * K(z,u),w) = K(x / (y * K(u,z)),w). K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). x != K(y * K(z,u),w) | K(K(u,z) \ y,w) = x. K(K(x,y) \ (z / u),w) = K(z / (u * K(x,y)),w). K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). x != K((y / z) * K(u,w),v5) | K(y * (z \ K(u,w)),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 / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). K(x / (y * T(z,u)),w) = K(x * ((y * z) \ K(u,z)),w). K(x * ((y * z) \ K(u,z)),w) = K(x / (y * T(z,u)),w). K(x / (T(y,z) * u),w) = K(K(y,z) \ (x / (y * u)),w). K(K(x,y) \ (z / (x * u)),w) = K(z / (T(x,y) * u),w). K(K(x,y) * ((z \ 1) \ u),w) = K((z \ K(x,y)) \ u,w). x \ (y * (K(z,u) * K(z,u))) = x \ (u * (T(T(u,z),z) \ y)). x \ (y * (T(T(y,z),z) \ u)) = x \ (u * (K(z,y) * K(z,y))). K(x,((y * z) \ u) * K(w,z)) = K(x,(y * T(z,w)) \ u). K(x,(y * T(z,K(u,w))) \ v5) != v6 | K(x,(y * z) \ v5) = v6. K(x,K(y,z) * ((u \ y) \ w)) = K(x,(u \ T(y,z)) \ w). K(((x \ 1) \ y) * K(z,u),w) != v5 | K((x \ K(u,z)) \ y,w) = v5. K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). x != K((y * K(z,u)) * w,v5) | K(K(z,u) * (y * w),v5) = x. K(K(x,y) * (z * u),w) = K((z \ K(y,x)) \ u,w). K((x \ K(y,z)) \ u,w) = K(K(z,y) * (x * u),w). K(K(x,y) * ((y / x) \ z),u) != w | K((x \ y) \ z,u) = w. K((x \ y) \ z,u) = K((T(y,x) / x) \ z,u). K((T(x,y) / y) \ z,u) = K((y \ x) \ z,u). K((T(x,y) / y) \ z,u) != w | K((x / T(y,x)) \ z,u) = w. K((x / T(y,x)) \ z,u) = K((y \ x) \ z,u). K((x / (x \ y)) \ z,u) = K(((y / x) \ x) \ z,u). K(x \ (y * T(z,T((u \ w) \ z,v5))),v6) != v7 | K(x \ (y * T(z,T(w \ u,v5))),v6) = v7. K(x \ (y * T(z,T(u \ w,v5))),v6) = K(x \ (y * T(z,(w \ u) \ z)),v6). K(x * K(y \ z,y),u) != w | K(K(z,y) * x,u) = w. K(K(x,y) * (z \ u),T(w,z)) = K(u / (K(y,y \ x) * z),w). K(x / (K(y,y \ z) * u),w) = K(K(z,y) * (u \ x),T(w,u)). T(x,K(y,z) * (u \ w)) = T(x,(K(z,y) * u) \ w). T(x,(K(y,z) * u) \ w) = T(x,K(z,y) * (u \ w)). T(x,(K(y,z) * u) \ w) != v5 | T(x,K(z,y) * (u \ w)) = v5. T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). T(x,(T(y,z) * u) \ w) = T(x,K(z,y) * ((y * u) \ w)). T(x,K(y,z) * ((z * u) \ w)) = T(x,(T(z,y) * u) \ w). T(T(x,K(y,z)),z * (y \ K(u,w))) = T(x,K(u,w) * (y \ z)). T(x,(y / T(z,u)) \ w) = T(x,K(z,u) * ((y / z) \ w)). T(x,K(y,z) * ((u / y) \ w)) = T(x,(u / T(y,z)) \ w). T(x,(y \ T(z,u)) \ w) = T(x,K(u,z) * ((y \ z) \ w)). T(x,K(y,z) * ((u \ z) \ w)) = T(x,(u \ T(z,y)) \ w). T(x,K(y,z) * (u \ w)) != v5 | T(x,(K(z,y) * u) \ w) = v5. x != T(y,K(z * u,z \ 1) * (z \ w)) | T(y,T(z,u) \ w) = x. T(x,T(y,z) \ u) = T(x,(y \ K(y * z,y \ 1)) * u). T(x,(y \ K(y * z,y \ 1)) * u) = T(x,T(y,z) \ u). K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,y * w) * z) \ u). K(x,(T(y,y * z) * u) \ w) = K(x,((y * u) \ w) * K(z,y)). K(x,((y * z) \ u) * K(w,y)) = K(x,(T(y,w) * z) \ u). K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). K(x,(y \ (z * u)) * K(w,z)) = K(x,y \ (T(z,w) * u)). K(x,K(y,z) * (u \ ((y * z) * w))) = K(x,u \ (T(y * z,z) * w)). K(x,K(y,z) * (u \ ((z * y) * w))) = K(x,u \ (T(z * y,z) * w)). K(x,K(R(y,z,u),w) * (v5 \ ((y * z) * u))) = K(x,v5 \ (T(R(y,z,u),w) * (z * u))). T(x,y * (z \ K(u,w))) = T(x,(y / z) * K(w,u)). T(x,(y / z) * K(u,w)) = T(x,y * (z \ K(w,u))). T(x,y / z) = T(x,y * (z \ K(u,w * w))). T(x,y * (z \ K(u,w * w))) = T(x,y / z). T(x,K(y,z) * (u / w)) = T(x,u * (w \ K(y,z))). T(x,y / (z * K(u * u,w))) = T(x,y / z). T(x,y / (z \ u)) = T(x,y / (z \ T(u,w * w))). T(x,y / (z \ T(u,w * w))) = T(x,y / (z \ u)). x != T(y,z * ((u \ w) \ K(v5,u))) | T(y,z / (T(u,v5) \ w)) = x. T(x,y / (T(z,u) \ w)) = T(x,K(u,z) * (y / (z \ w))). T(x,K(y,z) * (u / (z \ w))) = T(x,u / (T(z,y) \ w)). T(x,y / T(z / (1 / u),u)) = T(x,y / ((u \ 1) \ z)). K(x,K(y,z) \ ((y \ 1) \ u)) != w | K(x,T(y \ 1,z) \ u) = w. K(x,T(y \ 1,z) \ u) = K(x,(T(y,z) \ 1) \ u). x != K(y,(z \ 1) \ u) | K(y,z * u) = x. K(x,T(y,z) * u) = K(x,T(y \ 1,z) \ u). K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). K(x,T(y \ 1,z) \ x) != u | K(x,T(y * x,z)) = u. K(x,T(y * x,z)) = K(x,(T(y,z) \ 1) \ x). K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). K(x,T(y \ 1,z) \ u) != w | K(x,T(y,z) * u) = w. K(x,L(T(y \ 1,z) \ u,w,v5)) = K(L(x,w,v5),T(y,z) * u). K(x,T(y,z / u) \ w) != v5 | K(x,T(y,z * u) \ w) = v5. K(x,T(y \ 1,z * u) \ w) = K(x,T(y,z / u) * w). 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,x * T(y,z)) = K(x,T(y * x,z)). K(x,T(y * x,z)) = K(x,x * T(y,z)). K(x,T(x * y,z)) = K(x,x * T(y,z)). K(x,T(y,z)) = K(x,x * T(x \ y,z)). K(x,x * T(x \ y,z)) = K(x,T(y,z)). K(x,y * ((z * T(z \ u,w)) * K(z,T(u,w)))) = K(x,y * T(z * T(z \ u,w),z)). K(x,K(y,z \ u) * (w \ (y \ v5))) = K(x,w \ (T(y,z * u) \ v5)). K(x,K(y,z * z) * u) != w | K(x,u) = w. K(x,y \ (z \ u)) = K(x,y \ (T(z,w * w) \ u)). K(x,y \ (T(z,u * u) \ w)) = K(x,y \ (z \ w)). K(K(x,y) \ (z / (y * u)),w) = K(z / (T(y,x) * u),w). K(x * (((y \ 1) \ 1) \ z),u) != w | K(x * (y \ z),u) = w. K(K(x,y) * (z \ u),w) = K(((z \ 1) \ K(x,y)) \ u,w). K(((x \ 1) \ K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). K(x,(((1 / y) * T(z,y)) \ u) * K(w,y)) = K(x,(((y * y) \ z) * T(y,w)) \ u). K(x,y * (((z \ u) \ u) \ w)) != v5 | K(x,y * (T(z,u) \ w)) = v5. K(x,K(y,z) * (T(u,y) \ w)) = K(x,((u \ y) \ T(y,z)) \ w). K(x,((y \ z) \ T(z,u)) \ w) = K(x,K(z,u) * (T(y,z) \ w)). K(x,K(y,z) * ((z \ y) \ u)) != w | K(x,(y / z) \ u) = w. K(x,(y / z) \ u) = K(x,(z \ T(y,z)) \ u). K(x,(y \ T(z,y)) \ u) = K(x,(z / y) \ u). K(x,(T(y,z * z) \ (z * z)) * u) = K(x,(y / (z * z)) \ u). x \ y != K(z,(u \ T(w,u)) \ v5) | x * K(z,(w / u) \ v5) = y. x * K(x,(y / z) \ u) = T(x,(z \ T(y,z)) \ u). T(x,(y \ T(z,y)) \ u) = x * K(x,(z / y) \ u). K(x,(T(y,z) / z) \ u) = K(x,((z * (y / z)) / z) \ u). K(x,((y * (z / y)) / y) \ u) = K(x,(T(z,y) / y) \ u). K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). (x * K(y,(z / u) \ w)) \ x = K((u \ T(z,u)) \ w,y). K((x \ T(y,x)) \ z,u) = (w * K(u,(y / x) \ z)) \ w. K(x,(L(y,y,z) \ T(u,y)) \ w) = K(x,(u / L(y,y,z)) \ w). K(x,y / (T(z,u) \ u)) = K(x,(u / z) \ T(y,T(z,u) \ u)). K(x,(y / z) \ T(u,T(z,y) \ y)) = K(x,u / (T(z,y) \ y)). T(x,(y / z) \ u) = T(x,(z \ T(y,z)) \ u). T(x,(y \ T(z,y)) \ u) = T(x,(z / y) \ u). T(x,(y \ T(z,y)) \ u) != w | T(x,(z / y) \ u) = w. T(x,(T(y,z) \ z) \ u) != w | T(x,(z / y) \ u) = w. T(x,(y * z) \ T(u,y)) = T(x,(T(y,u) * z) \ u). T(x,(T(y,z) * u) \ z) = T(x,(y * u) \ T(z,y)). T(x,K(y,T(z,u)) * ((w / y) \ v5)) = T(x,(w / T(y,z)) \ v5). T(x,K(y,z) * ((u \ y) \ w)) = T(x,(u \ T(y,z)) \ w). T(x,((y \ 1) * K(y * z,y \ 1)) * u) = T(x,T(y,z) \ u). K(x,(((1 / y) * z) \ u) * K(1 / y,w * y)) = K(x,(T(y \ 1,y \ w) * z) \ u). K(x,y * K(z * (z / u),w)) != v5 | K(x,y * K(u,w)) = v5. K(x,(y \ (z * u)) * K(w,z)) = K(x,y \ (T(z,v5 * (v5 / w)) * u)). K(x,y \ (T(z,u * (u / w)) * v5)) = K(x,(y \ (z * v5)) * K(w,z)). T(x,y / (T(z,u) / w)) = T(x,y / (T(w,z) \ T(z,u))). T(x,y / (T(z,u) \ T(u,w))) = T(x,y / (T(u,w) / z)). T(x,y / (T(z,u * u) \ w)) != v5 | T(x,y / (z \ w)) = v5. T(x,y / T((z \ u) / (1 / z),w)) != v5 | T(x,y / T(T(z \ ((z \ 1) \ u),w),1 / z)) = v5. T(x,y / T(T(z \ ((z \ 1) \ u),z),1 / z)) = T(x,y / ((z \ 1) \ (z \ u))). K(x,T(y,z * ((u \ 1) * w)) \ v5) != v6 | K(x,T(y,w * (u \ z)) \ v5) = v6. K(x,T(y \ 1,z * (u \ w)) \ v5) = K(x,T(y,w / ((u \ 1) * z)) * v5). K(K(x,y) \ (z / u),w) != v5 | K(z / (K(y,x) \ u),w) = v5. K(x / (K(y,z) \ (y * u)),w) = K(x / (T(y,z) * u),w). K((x \ K(y,z)) \ u,w) != v5 | K(K(z,y) * (x * u),w) = v5. K(K(x,y) * ((z \ 1) * u),w) = K(K(y,x) * (z \ u),w). K(x,((y * z) / y) \ u) != w | K(x,T(z,y) \ u) = w. K(x,T(y / z,z) \ u) = K(x,(T(y,z) / z) \ u). K(x,(T(y,z) / z) \ u) = K(x,T(y / z,z) \ u). K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). K((x / y) \ z,u) = K((y \ T(x,y)) \ z,u). K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). K(x / (T(y,z) \ z),u) = K((z / y) \ T(x,z / y),u). K((x / y) \ T(z,x / y),u) = K(z / (T(y,x) \ x),u). K((T(x,y) \ z) \ u,L(w,z,x)) != v5 | K(z \ (T(x,y) * u),w) = v5. K(x \ (T(y,x) * z),u) = K((x / y) \ z,L(u,x,y)). K((x / y) \ z,L(u,x,y)) = K(x \ (T(y,x) * z),u). T(x,K(y,z \ (z \ u)) * w) != v5 | T(x,K(y,u) * w) = v5. T(x,K(y,z) * ((u \ y) \ w)) = T(x,(u \ T(y,v5 \ (v5 \ z))) \ w). T(x,(y \ T(z,u \ (u \ w))) \ v5) = T(x,K(z,w) * ((y \ z) \ v5)). T(x,K(y,z) * ((z \ y) \ u)) != w | T(x,(y / z) \ u) = w. T(x,y / (T(z,u / w) \ (w \ u))) = T(x,y / (T(u / w,w) / z)). K(x / (y * z),u) = K(x / (T(z,y) * y),u). K(x / (T(y,z) * z),u) = K(x / (z * y),u). K(x / ((y \ z) * y),u) = K(x / (y * (z / y)),u). K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. K(x / T(y,z),u) = K(x / (z * (y / z)),u). K(x / (y * (z / y)),u) = K(x / T(z,y),u). K(x / (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 \ 1) * T(z,y),T(y,y \ 1)),u) = K(x / (T(y,y \ 1) * ((y * y) \ z)),u). K(K(x,y) * ((z \ 1) * u),w) != v5 | K((z \ K(x,y)) * u,w) = v5. K((x \ K(y,z)) * u,w) = K(K(z,y) * (x \ u),w). K(x * (y \ K(z,u)),w) = K(K(u,z) * (y \ x),T(w,y)). K(K(x,y) * (z \ u),T(w,z)) = K(u * (z \ K(y,x)),w). K(x / (y / z),u) = K(x / (T(z,y) \ y),u). K(x / (T(y,z) \ z),u) = K(x / (z / y),u). K(x / ((y \ z) \ y),u) = K(x / (y / (z / y)),u). K(x / (y / (z / y)),u) = K(x / ((y \ z) \ y),u). K(x / (y \ T(z,y)),u) = K(x / (z / y),u). K(x / ((y \ z) \ ((y \ z) \ z)),u) = K(x / (y / (y \ z)),u). K(K(x,y) * (z / (x / u)),w) = K(z / (T(x,y) / u),w). K(K(x,y) * (z / u),w) != v5 | K(z / (K(y,x) * u),w) = v5. K(x / (K(y,z) * (z / u)),w) = K(x / (T(z,y) / u),w). K(x / (((y * z) / y) / u),w) = K(x / (T(z,y) / u),w). K(x,y \ ((z * K(u,w)) * v5)) != v6 | K(x,K(w,u) * (y \ (z * v5))) = v6. K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). K(x,(y * T(z,T(u,w))) \ v5) != v6 | K(x,(y * T(z,u)) \ v5) = v6. T(x,(y / T(z,u)) \ w) = T(x,K(y,z) * ((T(z,u) \ y) \ w)). T(x,K(y,z) * ((T(z,u) \ y) \ w)) = T(x,(y / T(z,u)) \ w). K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) != v7 | K(x,v5 \ v6) = v7. K(x,y \ z) = K(x,K(u,w) \ ((L(K(u,w),v5,v6) \ y) \ z)). K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). x != K(y,K(z,u) * ((z * w) \ v5)) | K(y,(T(z,u) * w) \ v5) = x. K(x,(T(y,z) * u) \ w) = K(x,(y * (K(z,y) * u)) \ w). K(x,(y * (K(z,y) * u)) \ w) = K(x,(T(y,z) * u) \ w). K(x,(((y * z) / y) * u) \ w) = K(x,(T(z,y) * u) \ w). K(x,y \ ((z \ ((u * w) / u)) * v5)) = K(x,K(w,u) * (y \ ((z \ w) * v5))). x != y \ (z * (u * u)) | (y \ z) * (u * u) = x. (x \ y) * (K(z,u) * K(z,u)) = x \ (u * (T(T(u,z),z) \ y)). x \ (y * (T(T(y,z),z) \ u)) = (x \ u) * (K(z,y) * K(z,y)). x != K(K(y,z) * (u \ w),T(v5,u)) | K(w * (u \ K(z,y)),v5) = x. K(x * (y \ K(z,u)),w) = K(x / (K(z,z \ u) * y),w). K(x / (K(y,y \ z) * u),w) = K(x * (u \ K(y,z)),w). x != K(y * ((z * u) \ K(w,u)),v5) | K(y / (z * T(u,w)),v5) = x. K(x / (y * T(z,u)),w) = K(x / (K(u,u \ z) * (y * z)),w). K(x / (K(y,y \ z) * (u * z)),w) = K(x / (u * T(z,y)),w). T(T(x,K(y,z)),z * (y \ K(u,w))) != v5 | T(x,y \ (K(u,w) * z)) = v5. T(x,y \ (K(z,u) * w)) = T(x,K(z,u) * (y \ w)). T(T(x,K(y,z)),z * (y \ K(u,w))) != v5 | T(x,(K(u,w) / y) * z) = v5. T(x,(K(y,z) / u) * w) = T(x,K(y,z) * (u \ w)). T(x,y \ (z * K(u,w))) = T(x,K(w,u) * (y \ z)). T(x,K(y,z) * (u \ w)) = T(x,u \ (K(z,y) * w)). T(x,y \ (K(z,u) * w)) = T(x,K(u,z) * (y \ w)). T(x,y \ (z \ T(u,w))) = T(x,K(w,u) * (y \ (z \ u))). T(x,K(y,z) * (u \ (w \ z))) = T(x,u \ (w \ T(z,y))). T(x,y \ (T(z,u) \ w)) = T(x,K(z,u) * (y \ (z \ w))). T(x,K(y,z) * (u \ (y \ w))) = T(x,u \ (T(y,z) \ w)). T(x,K(y,z) * ((u \ 1) \ w)) != v5 | T(x,u * (K(z,y) * w)) = v5. T(x,K(y,z) * (u \ (w * z))) != v5 | T(x,u \ (w * T(z,y))) = v5. T(x,K(y * z,u) * (w \ (v5 \ u))) = T(x,w \ (v5 \ T(u,y \ z))). T(x,K(y,z) * (u \ w)) != v5 | T(x,u \ (K(y,z) * w)) = v5. T(x,y \ (K(z,u) * (z \ w))) = T(x,y \ (T(z,u) \ w)). T(x,y \ (((z * u) / z) \ w)) = T(x,y \ (T(u,z) \ w)). T(x,y \ (z \ u)) = T(x,y \ (T(T(z,w),w) \ u)). T(x,y \ (T(T(z,u),u) \ w)) = T(x,y \ (z \ w)). T(x,y \ (T(T(z,u \ (w \ ((w * u) \ 1))),w \ (u \ (w \ 1))) \ v5)) = T(x,y \ (((u * z) / u) \ v5)). x != K(y,((z * u) \ w) * K(v5,z)) | K(y,(T(z,v5) * u) \ w) = x. K(x,(T(y,z) * u) \ w) = K(x,(T(y,y * z) * u) \ w). K(x,(T(y,y * z) * u) \ w) = K(x,(T(y,z) * u) \ w). K(x,(T(y \ 1,y \ z) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). K(x,L(T(y,z) * u,w,v5)) = K(x,L(T(y \ 1,z) \ u,w,v5)). K(x,L(T(y \ 1,z) \ u,w,v5)) = K(x,L(T(y,z) * u,w,v5)). K(x,L(T(y \ 1,z) \ u,w,v5)) != v6 | K(x,L(T(y,z) * u,w,v5)) = v6. K(x,L(T(y,z) \ u,T(z,y),z * y)) = K(x,K(y,z) * (T(z,y) \ ((z \ y) \ u))). K(x,K(y,z) * (T(z,y) \ ((z \ y) \ u))) = K(x,L(T(y,z) \ u,T(z,y),z * y)). K(x,(T(y,z * z) \ u) * w) != v5 | K(x,(y \ u) * w) = v5. K(x,(y \ (z * z)) * u) = K(x,(y / (z * z)) \ u). K(x,(y / (z * z)) \ u) = K(x,(y \ (z * z)) * u). K(x,(y * y) * (z \ u)) = K(x,(z \ (y * y)) * u). K(x,(y \ (z * z)) * u) = K(x,(z * z) * (y \ u)). K(x,y * (y * (z \ u))) = K(x,(z \ (y * y)) * u). K(x,(y \ (z * z)) * u) = K(x,z * (z * (y \ u))). K(x,y \ ((z * z) * u)) = K(x,z * (z * (y \ u))). K(x,((y * z) \ (y * y)) * T(u,z * y)) != w | K(x,u / ((y \ 1) * z)) = w. K(x,y / ((z \ 1) * u)) = K(x,z * (z * ((z * u) \ T(y,u * z)))). K(x,y * (y * ((y * z) \ T(u,z * y)))) = K(x,u / ((y \ 1) * z)). K(x,((y \ 1) * z) \ u) = K(x,y * (y * ((y * z) \ u))). K(x,y * (y * ((y * z) \ u))) = K(x,((y \ 1) * z) \ u). K(x,y \ ((z * z) * (u * (w / z)))) != v5 | K(x,y \ (u * (w / (1 / z)))) = v5. K(x,y \ (z * (u / (1 / w)))) = K(x,w * (w * (y \ (z * (u / w))))). K(x,y * (y * (z \ (u * (w / y))))) = K(x,z \ (u * (w / (1 / y)))). K(x,y * (y * ((y * z) \ u))) != w | K(x,((y \ 1) * z) \ u) = w. K(x,(y / z) * ((y / z) * (y \ u))) = K(x,(((y / z) \ 1) * z) \ u). K(x,(1 / y) * ((1 / y) * ((1 / L(y,z,z)) \ u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). K(x,(y / z) \ T(u,y / z)) = K(x,u / (T(z,y) \ y)). K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. K(x,y / (z / u)) = K(x,y / T(u \ z,z)). K(x,y / T(z \ u,u)) = K(x,y / (u / z)). K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. K(x,(T(y,z) * u) / (z * y)) != w | K(x,(T(y,z) \ u) / (z / y)) = w. (x * K(y,z / (u / w))) \ x = K(z / T(w \ u,u),y). K(x / T(y \ z,z),u) = (w * K(u,x / (z / y))) \ w. K(x / (y / z),u) = K(x / T(z \ y,y),u). K(x / T(y \ z,z),u) = K(x / (z / y),u). K(T(x \ y,y) \ z,u) = K(T(z,y / x) / (y / x),u). K(T(x,y / z) / (y / z),u) = K(T(z \ y,y) \ x,u). K(x / T(y,z),u) = K(x / (z / (z / y)),u). K(x / (y / (y / z)),u) = K(x / T(z,y),u). K(x / T(y,y * z),u) = K(x / T(y,z),u). K(x / T(y,y * z),u) != w | K(x / ((y \ z) \ z),u) = w. K(x / ((y \ z) \ z),u) = K(x / T(y,z),u). K(T(x \ y,y) \ z,u) != w | K((y / x) \ z,u) = w. T(x,K(y,z) * ((u / y) \ w)) != v5 | T(x,(u / T(y,z)) \ w) = v5. T(x,(y / T(z,T(u,w))) \ v5) = T(x,(y / T(z,u)) \ v5). T(x,((y \ 1) * K((1 / y) \ z,1 / y)) * u) = T(x,T(y,z) \ u). T(x,(K(y,z) * (T(y,u) \ z)) \ w) = T(x,(z / T(y,u)) \ w). x \ (y * (T(T(y,z),z) \ u)) != w | (z * (T(T(z,y),y) \ x)) \ u = w. (x * (T(T(x,y),y) \ z)) \ u = (z \ u) * (K(x,y) * K(x,y)). (K(x,y) * z) \ (y * (T(T(y,x),x) \ u)) != w | ((K(x,y) \ 1) * z) \ u = w. ((K(x,y) \ 1) * z) \ u = ((K(x,y) * z) \ u) * (K(x,y) * K(x,y)). ((K(x,y) * z) \ u) * (K(x,y) * K(x,y)) = ((K(x,y) \ 1) * z) \ u. K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,(y \ (z * v5)) * (K(u,w) * K(u,w))). K(x * ((y * z) \ K(u \ z,u)),w) = K(x / (y * T(z,u)),w). K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(T(z,u) * T(y,T(z \ 1,u)),w,v5)). K(x,L(T(y,z) * T(u,T(y \ 1,z)),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). T(x,(y \ z) \ u) = T(x,(z / T(y,z)) \ u). T(x,(y / T(z,y)) \ u) = T(x,(z \ y) \ u). T(x,(((y \ z) \ z) / T(u,T(y,z))) \ w) = T(x,(u \ ((y \ z) \ z)) \ w). (x * (T(T(x,y),y) \ z)) \ (K(y,x) * u) != w | z \ (L(K(x,y),K(x,y),K(y,x) * u) * u) = w. x \ (L(K(y,z),K(y,z),K(z,y) * u) * u) = (x \ (K(z,y) * u)) * (K(y,z) * K(y,z)). K(x,y * (y * ((z \ u) * (K(y,w) * K(y,w))))) = K(x,((y \ 1) * (T(T(y,w),w) \ z)) \ u). K(x * (((y \ 1) * z) \ K(y \ z,y)),u) != w | K(x / ((y \ 1) * ((y \ z) * y)),u) = w. K(x / ((y \ 1) * ((y \ z) * y)),u) = K(x / ((y \ 1) * T(z,y)),u). x != K(y,L(K(z,u),w,v5) \ v6) | K(y,K(z,u) \ v6) = x. K(x,K(y,z) \ (u \ w)) = K(x,(u * L(K(y,z),v5,v6)) \ w). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). K(x,(y * L(K(z,u),w,v5)) \ v6) != v7 | K(x,K(z,u) \ (y \ v6)) = v7. K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ 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(u,z) * v5)) = x. K(x,y \ (K(z,u) * w)) = K(x,(y \ K(z,u)) * w). K(x,K(y,z) * (u \ w)) * K(x,K(u \ K(z,y),w)) = K(x,w * (u \ K(y,z))). K(x,K(y \ 1,z) * (y \ u)) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). K(x,(y \ K(z,u)) * w) != v5 | K(x,K(u,z) * (y \ w)) = v5. K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). x != y * a(K(z,u),w,v5) | a(K(u,z),w,v5) \ y = x. a(K(x,y),z,u) \ w = K(y,x) \ (L(K(x,y),z,u) \ w). K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. K(x,L(K(y,z) * (u \ w),v5,v6)) = K(x,L((K(z,y) * u) \ w,v5,v6)). K(x,L((K(y,z) * u) \ w,v5,v6)) = K(x,L(K(z,y) * (u \ w),v5,v6)). K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). K(x,y / z) = K(x,K(u,w) \ ((K(w,u) \ y) / z)). K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). K(x,K(y,z) \ (u / w)) = K(x,(K(y,z) \ u) / w). K(x,(K(y,z) \ u) / w) = K(x,K(y,z) \ (u / w)). K(x,(y * (z / y)) / u) = K(x,K(y \ z,y) \ (z / u)). K(x,K(y \ z,y) \ (z / u)) = K(x,(y * (z / y)) / u). K(x,K(y,z) \ (y / u)) = K(x,(z * (y / z)) / u). K(x,K(y,z) \ (y / u)) != w | K(x,T(y,z) / u) = w. K(x,T(y,z) / u) = K(x,(z * (y / z)) / u). K(x,(y * (z / y)) / u) = K(x,T(z,y) / u). x != K(y,T(z * u,z) / w) | K(y,(u * z) / w) = x. K(x,(y * z) / u) = K(x,(z * ((z * y) / z)) / u). K(x,(y * ((y * z) / y)) / u) = K(x,(z * y) / u). K(x,(y * z) / u) = K(x,(T(z,y) * y) / u). K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). K(x,(y * z) / (u * y)) != w | K(x,L(T(z,y) / u,u,y)) = w. K(x,K(y,z) * ((u * z) \ w)) != v5 | K(x,(u * T(z,y)) \ w) = v5. K(x,(y * T(z \ u,z)) \ w) = K(x,(y * (u / z)) \ w). K(x,(y * T(z,u)) \ w) = K(x,(y * ((u * z) / u)) \ w). K(x,(y * ((z * u) / z)) \ w) = K(x,(y * T(u,z)) \ w). K(x,((1 / ((y * z) / y)) * T(u,(y * z) / y)) \ w) = K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,(y * z) / y)) \ w). K(x,((K(y,(z * u) / z) / ((z * u) / z)) * y) \ w) = K(x,(((((z * u) / z) * ((z * u) / z)) \ y) * T(u,z)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((K(u,(y * z) / y) / ((y * z) / y)) * u) \ w). K(x,K(y,z) * (u \ ((z * y) * w))) = K(x,u \ (T(z * y,y) * w)). K(x,K(y,z) * (u \ (y \ w))) != v5 | K(x,u \ (T(y,z) \ w)) = v5. K(x,y \ (T(z,u \ w) \ v5)) = K(x,y \ (T(z,u * w) \ v5)). K(x,(T(y,z \ u) \ w) / v5) = K(x,T(v5,T(y,z \ u) \ w) \ (T(y,z * u) \ w)). K(x,T(y,T(z,u \ w) \ v5) \ (T(z,u * w) \ v5)) = K(x,(T(z,u \ w) \ v5) / y). x != K(y,(z \ (u * w)) * K(v5,u)) | K(y,z \ (T(u,v5) * w)) = x. K(x,y \ (T(z,u) * w)) = K(x,y \ (T(z,v5 * (v5 / u)) * w)). K(x,y \ (T(z,u * (u / w)) * v5)) = K(x,y \ (T(z,w) * v5)). K(x,y \ (T(z,u) * (w * (w / u)))) != v5 | K(x,y \ ((w * (w / u)) * z)) = v5. K(x,y \ (T(z,u) * ((u \ w) * w))) != v5 | K(x,y \ (((u \ w) * w) * z)) = v5. x != T(y,K(z,u) * (w \ v5)) | T(y,(w * K(u,z)) \ v5) = x. T(x,((y \ z) * K(u,z)) \ w) = T(x,(y \ T(z,v5 \ (v5 \ u))) \ w). T(x,(y \ T(z,u \ (u \ w))) \ v5) = T(x,((y \ z) * K(w,z)) \ v5). T(x,K(y,z) * (u \ (w \ z))) != v5 | T(x,u \ (w \ T(z,y))) = v5. T(x,y \ (z \ T(u,w * v5))) = T(x,y \ (z \ T(u,w \ v5))). T(x,y \ (z \ T(u,w \ v5))) = T(x,y \ (z \ T(u,w * v5))). T(x,y \ (z \ T(u,w \ 1))) != v5 | T(x,y \ (z \ T(a(w,w,w) * u,w \ 1))) = v5. T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) = T(x,y \ (z \ T(w,u * 1))). K(x,(T(y \ 1,z / y) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). K(x,((y \ 1) * z) \ T(u,z * y)) = K(x,u / ((y \ 1) * z)). K(x,((y \ 1) * z) \ u) = K(x,T(u,z * y) / ((y \ 1) * z)). K(x,T(y,z * u) / ((u \ 1) * z)) = K(x,((u \ 1) * z) \ y). K(x,(y / z) * ((y / z) * u)) != w | K(x,(z \ y) * ((z \ y) * u)) = w. K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(((z / y) \ 1) * y) \ u). T(x,((y \ 1) * K((1 / y) \ z,1 / y)) * u) != w | T(x,T(1 / y,z) * u) = w. T(x,T(1 / y,z) * u) = T(x,T(y,z) \ u). T(x,T(y \ 1,z) * u) = T(x,T(y,z) \ u). T(x,T(y,z) * u) = T(x,T(y \ 1,z) \ u). T(x,T(y \ 1,z) \ u) = T(x,T(y,z) * u). T(x,T(y \ 1,y * z) * (y \ u)) != w | T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = w. T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,T(y,y * z) \ (y \ u)). T(x,T((y \ z) \ 1,u) * (u \ w)) != v5 | T(x,((y \ z) \ 1) * (T(u,z \ y) \ w)) = v5. T(x,((y \ z) \ 1) * (T(u,z \ y) \ w)) = T(x,T(y \ z,u) \ (u \ w)). T(x,T(y \ z,u) \ (u \ w)) = T(x,((y \ z) \ 1) * (T(u,z \ y) \ w)). K(T(x \ 1,y) * z,u) = u / T(u,T(x,y) \ z). (x * T(y,T(z,u) \ w)) / (x * y) = K(y,T(T(z \ 1,u) * w,x)). K(T(x,y) \ z,u) = K(T(x \ 1,y) * z,u). K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). K(T(x,y) * z,u) = K(T(x \ 1,y) \ z,u). K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). K(T(x * K(y,z),u) * w,v5) = K(T(K(z,y) / x,u) \ w,v5). K(T(K(x,y) / z,u) \ w,v5) = K(T(z * K(y,x),u) * w,v5). K(x / T(y \ 1,z),u) = K(T(y,z) * x,T(u,y)). x != K(T(y,z) * u,T(w,y)) | K(u * T(y,z),w) = x. K(x * T(y,z),u) = K(x / T(y \ 1,z),u). K(x / T(y \ 1,z),u) = K(x * T(y,z),u). K(x / T(y,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(1 / y,z),u) != w | K(x * T(y \ 1,z),u) = w. K(x * T(y \ 1,z),u) = K(x / T(y,z),u). K(x,K(y,z * u)) = K((z / (u \ 1)) / T(z / (1 / u),x),y). K((x / (y \ 1)) / T(x / (1 / y),z),u) = K(z,K(u,x * y)). x / T(x,y / T(z,u)) = K(y * T(z \ 1,u),x). K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). K(T(K(x,y) / z,u) \ w,v5) != v6 | K(K(y,x) * (T(z,u) * w),v5) = v6. K((x / (y \ 1)) / T(x / (1 / y),z),u) != w | K(u,K(y * x,y * (z \ x))) = w. K(x,K(y * z,y * (u \ z))) = K(u,K(x,z * y)). K(x,K(y,z * u)) * K(y,L(T(x,u),u,z)) = K(y,(u * z) \ ((u * x) * z)). ((x \ y) \ (K(y,x) * z)) * (K(x,y) * K(x,y)) = ((K(x,y) \ 1) * (x \ y)) \ z. K(x / T((y \ 1) * z,y),u) = K(x / ((y \ 1) * T(z,y)),u). x != K(y / ((z \ 1) * T(u,z)),w) | K(y / (u * (z \ 1)),w) = x. K(x / (y * (z \ 1)),u) = K(x / T((z \ 1) * y,z),u). K(x / T((y \ 1) * z,y),u) = K(x / (z * (y \ 1)),u). K(x,L((y \ K(z,u)) * w,v5,v6)) = K(x,L(K(z,u) * (y \ w),v5,v6)). K(x,K(y,z) * (u \ ((z * y) * w))) != v5 | K(x,u \ (T(z * y,z) * w)) = v5. K(x,y \ (T(z * u,z) * w)) = K(x,y \ (T(z * u,u) * w)). K(x,y \ (T(z * u,u) * w)) = K(x,y \ (T(z * u,z) * w)). T(x,(y \ T(z,u \ (u \ w))) \ v5) = T(x,(y \ (z * K(w,z))) \ v5). T(x,(y \ T(z,u \ (u \ (z \ w)))) \ v5) = T(x,(y \ (w / (w / z))) \ v5). K(x,(T(y \ 1,z) * u) \ w) = K(x,(T(y \ 1,z * y) * u) \ w). K(x,(T(y \ 1,z * y) * u) \ w) = K(x,(T(y \ 1,z) * u) \ w). x != K(y,(((z / u) \ 1) * u) \ w) | K(y,(u * ((u \ z) \ 1)) \ w) = x. K(x,(y * ((y \ z) \ 1)) \ u) = K(x,(y \ z) * ((y \ z) * (z \ u))). K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(y * ((y \ z) \ 1)) \ u). K(x,T(T(y,z) \ u,w)) = K(x,T(T(y \ 1,z) * u,w)). K(x,T(T(y \ 1,z) * u,w)) = K(x,T(T(y,z) \ u,w)). K(x,T(T(y \ 1,z) * u,w)) != v5 | K(x,T(T(T(y \ 1,z),y) * u,w)) = v5. K(x,T(T(T(y \ 1,z),y) * u,w)) = K(x,T(T(y,z) \ u,w)). K(x,T(T(1 / y,z) * u,w)) = K(x,T(T(y,z) \ u,w)). K(x,T(T(y,z) * u,w)) = K(x,T(T(y \ 1,z) \ u,w)). K(x,T(T(y \ 1,z) \ u,w)) = K(x,T(T(y,z) * u,w)). K(x,L((y \ K(y,z)) * u,y,z)) != w | K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = w. K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,L(K(y,z) * (y \ u),y,z)). x != K(y,(z * (u \ 1)) \ w) | K(y,(z * (1 / u)) \ w) = x. K(x,(y * (1 / (y \ z))) \ u) = K(x,(y \ z) * ((y \ z) * (z \ u))). K(x,(y \ z) * ((y \ z) * (z \ u))) = K(x,(y * (1 / (y \ z))) \ u). K(x,y * ((z \ L(z,u,u)) * w)) != v5 | K(x,y * (w * a(z,u,u))) = v5. K(x,(y \ L(y,z,z)) * ((L(y,z,z) \ u) * a(y,z,z))) = K(x,(y * (1 / (y \ L(y,z,z)))) \ u). 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,(y * T((z / u) * w,K(u,u \ z))) \ v5) = K(x,K(u \ z,u) * ((y * ((u \ z) * w)) \ v5)). K(x,K(y,L(z,u,w)) * ((u * w) \ v5)) = K(x,((K(z,y) * u) * w) \ v5). K(x,K(y,z) * ((u * w) \ v5)) = K(x,((K(z,y) * u) * w) \ v5). K(x,((K(y,z) * u) * w) \ v5) = K(x,K(z,y) * ((u * w) \ v5)). K(x,((T(y,z) \ u) * w) \ v5) = K(x,K(y,z) * (((y \ u) * w) \ v5)). K(x,K(y,z) * (((y \ u) * w) \ v5)) = K(x,((T(y,z) \ u) * w) \ v5). K(x,K(y,z) * (u \ (T(z,y) \ w))) = K(x,u \ (T(z,K(y,v5)) \ w)). K(x,y \ (T(z,K(u,w)) \ v5)) = K(x,K(u,z) * (y \ (T(z,u) \ v5))). x != K(y,K(z,u) * (w \ (T(u,z) \ v5))) | K(y,w \ (T(T(u,z),z) \ v5)) = x. K(x,y \ (T(T(z,u),u) \ w)) = K(x,y \ (T(z,K(u,v5)) \ w)). x != K(y,z \ (T(u,K(w,v5)) \ v6)) | K(y,z \ (u \ v6)) = x. K(x,y \ (z \ u)) = K(x,y \ (T(T(z,w),w) \ u)). K(x,y \ (T(T(z,u),u) \ w)) = K(x,y \ (z \ w)). K(x,y \ (T(z \ u,z) \ w)) = K(x,y \ ((u / z) \ w)). K(x,y \ (T((1 / z) / u,z * z) \ w)) = K(x,y \ (((z / u) / (z * z)) \ w)). K(x \ (y * T(z,T(u \ w,v5))),v6) = K(x \ (y * T(z,u \ (w * z))),v6). K(x,T(y,z * (u \ w)) * v5) = K(x,T(y,w / ((u \ 1) * z)) * v5). K(x,T(y,z / ((u \ 1) * w)) * v5) = K(x,T(y,w * (u \ z)) * v5). K(x,T(y,z / u) * w) != v5 | K(x,T(y,u * z) * w) = v5. K(x,T(y,((z \ 1) * u) * w) * v5) = K(x,T(y,u * (z \ w)) * v5). K(x,T(y,(z * u) * w) * v5) = K(x,T(y,u * (z \ w)) * v5). K(x,T(y,z * (u * w)) * v5) = K(x,T(y,w * ((u \ 1) \ z)) * v5). K(x,T(y,z * ((u \ 1) \ w)) * v5) = K(x,T(y,w * (u * z)) * v5). K(x,T(y,z * ((u \ 1) \ w)) * v5) != v6 | K(x,T(y,(u \ w) * z) * v5) = v6. K(x,T(y,(z \ u) * w) * v5) = K(x,T(y,u * (z * w)) * v5). K(x,T(y,z) \ ((u \ ((z * y) / z)) * w)) = K(x,y \ ((u \ y) * w)). T(x,(y / T(z,T(u,w))) \ v5) != v6 | T(x,(y / T(z,u)) \ v5) = v6. T(x,(((y \ z) \ z) / T(u,y)) \ w) = T(x,(u \ ((y \ z) \ z)) \ w). T(x,(((y \ z) \ z) / T(u,y)) \ w) = T(x,(u \ T(y,y \ z)) \ w). T(x,(((y \ z) \ z) / T(u,y)) \ w) != v5 | T(x,(u \ ((y \ z) \ z)) \ w) = v5. T(x,(y \ ((z \ u) \ u)) \ w) = T(x,(y \ T(z,z \ u)) \ w). T(x,(y \ T(z,z \ u)) \ w) = T(x,(y \ ((z \ u) \ u)) \ w). x != T(y,z * (T(u,w \ v5) \ v6)) | T(y,z * (T(u,w * v5) \ v6)) = x. T(x,((y \ z) \ 1) * (T(u,z * y) \ w)) = T(x,T(y \ z,u) \ (u \ w)). T(x,T(y \ z,u) \ (u \ w)) = T(x,((y \ z) \ 1) * (T(u,z * y) \ w)). T(x,(y \ T(z,u \ (u \ w))) \ v5) != v6 | T(x,(y \ (z * K(w,z))) \ v5) = v6. T(x,(y \ (z * K(z \ u,z))) \ w) = T(x,(y \ (u / (u / z))) \ w). T(x,(y \ (z / (z / u))) \ w) = T(x,(y \ (u * K(u \ z,u))) \ w). T(x,(y \ T(z,z \ u)) \ w) = T(x,(y \ (u / (u / z))) \ w). x != K(y \ (z * T(u,w \ v5)),v6) | K(y \ (z * T(u,w * v5)),v6) = x. K(x \ (y * T(z,u * (w * z))),v5) = K(x \ (y * T(z,T(u \ w,v6))),v5). K(x \ (y * T(z,T(u \ w,v5))),v6) = K(x \ (y * T(z,u * (w * z))),v6). T(x,T(y \ z,u) \ (u \ w)) != v5 | T(x,(y \ z) \ (T(u,z * y) \ w)) = v5. K(x \ (y * T(z,T(u,w))),v5) != v6 | K(x \ (y * T(z,u)),v5) = v6. K(x \ (y * T(z,u \ w)),v5) = K(x \ (y * T(z,u * (w * z))),v5). K(x \ (y * T(z,u * (w * z))),v5) = K(x \ (y * T(z,u \ w)),v5). K(x \ (y * T(z,u * (w * z))),v5) != v6 | K(x \ (y * T(z,u * w)),v5) = v6. T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) = T(x,y \ (z \ T(w,u))). K(x,K(y,z * u)) * K(x,L(T(y,u),u,z)) = K(x,(u * z) \ ((u * y) * z)). K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,(T(z,y) * y) \ (z * u)). x != K(y,(T(z,u) * u) \ w) | K(y,(u * z) \ w) = x. K(x,(y * z) \ (z * u)) = K(x,((y \ 1) * z) \ (z * ((y * y) \ u))). K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) = K(x,(y * z) \ (z * u)). K(x,((y \ 1) * z) \ (z * ((y * y) \ u))) != w | K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = w. K(x,(y \ z) \ ((((1 / y) \ 1) \ (y \ z)) * u)) = K(x,(y * z) \ (z * u)). K(x,(y \ z) \ ((y \ (y \ z)) * u)) = K(x,(y * z) \ (z * u)). K(x,T(y,T(z,u)) \ ((((u * z) / u) \ (((u * z) / u) \ (y * (z * K(u,z))))) * w)) = K(x,(((u * z) / u) * (y * (z * K(u,z)))) \ ((y * (z * K(u,z))) * w)). K(x,L(T(T(y,z),u * z),z,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). K(x,(y * (z * (y \ u))) / u) = K(x,((y \ u) * y) \ (((y \ u) * z) * y)). K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,(y * (u * (y \ z))) / z). K(x,y \ (((y / z) * u) * z)) = K(x,(z * (u * (z \ y))) / y). K(x,(y * (z * (y \ u))) / u) = K(x,u \ (((u / y) * z) * y)). x * K(y,x \ (((x / z) * u) * z)) = ((x / z) * K(y,u)) * z. K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). K(K(x,y) * (((x * y) * y) \ z),u) != w | K((y * (x * y)) \ z,u) = w. K((x * (y * x)) \ z,u) = K(((y * x) * T(x,y)) \ z,u). K(((x * y) * T(y,x)) \ z,u) = K((y * (x * y)) \ z,u). K(((x * y) * x) \ z,u) = K((x * (y * x)) \ z,u). T(x,y / T(T(z \ ((z \ 1) \ u),z),1 / z)) = T(x,y / (z \ ((1 / z) \ u))). K(x,L(T(y,z) * T(u,y \ 1),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). K(x,L(T(y,z) * T(u,y * 1),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). K(x,L(T(y,z) * T(u,y),w,v5)) = K(x,L(u / T(y \ 1,z),w,v5)). K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(T(z,u) * T(y,z),w,v5)). K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(K(z,u) * (y * z),w,v5)). x != K(y,L(K(z,u) * (w * z),v5,v6)) | K(y,L(w * T(z,u),v5,v6)) = x. K(x,L(y * T(z,u),w,v5)) = K(x,L(y / T(z \ 1,u),w,v5)). K(x,L(y / T(z \ 1,u),w,v5)) = K(x,L(y * T(z,u),w,v5)). K(x,L(y / T(z \ 1,u),w,v5)) != v6 | K(x,L(y / (z \ K(u,z \ 1)),w,v5)) = v6. K(x,L(y / (z \ K(u,z \ 1)),w,v5)) = K(x,L(y * T(z,u),w,v5)). K(x,L(y * (K(z \ 1,u) * z),w,v5)) = K(x,L(y * T(z,u),w,v5)). K(x,L(y * (z * K(z \ 1,u)),w,v5)) = K(x,L(y * T(z,u),w,v5)). K(x,L(y * ((z / u) * K((z / u) \ 1,u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). K(x,K(y,z) * (u \ w)) * K(x,K(w,u * K(z,y))) = K(x,w * (u \ K(y,z))). K(x,y \ (T(z,u * u) \ w)) != v5 | K(x,y \ (z \ w)) = v5. K(x,y \ (((1 / z) / u) \ w)) = K(x,y \ (((z / u) / (z * z)) \ w)). K(x,y \ (((z / u) / (z * z)) \ w)) = K(x,y \ (((1 / z) / u) \ w)). K(x,y \ ((z * z) * ((z / u) \ w))) = K(x,y \ (((1 / z) / u) \ w)). K(x,y \ ((z * z) * u)) != w | K(x,z * (z * (y \ u))) = w. K(x,y * (y * (z \ ((y / u) \ w)))) = K(x,z \ (((1 / y) / u) \ w)). T(x,y / T(z,u / w)) != v5 | T(x,y / T(z,w * u)) = v5. T(x,y / T(T(z \ ((z \ 1) \ u),z),z * 1)) = T(x,y / (z \ ((1 / z) \ u))). K(x,L(y * ((z / u) * K(z \ u,u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). K(x,L(y * (z / T(u,z \ u)),w,v5)) = K(x,L(y * (u \ z),w,v5)). K(x,K(y,z) * (u \ w)) * K(x,K(w,u)) = K(x,w * (u \ K(y,z))). K(x,K(y,z) * (u \ w)) * K(x,K(w,u)) = K(x,w * (u \ K(y,y \ z))). K(x,y * (z \ K(u,u \ w))) = K(x,K(u,w) * (z \ y)) * K(x,K(y,z)). x != K(y,K(z,u) * (w \ v5)) * K(y,K(v5,w)) | K(y,v5 * (w \ K(z,u))) = x. K(x,y * (z \ K(u,w))) = K(x,y * (z \ K(u,u \ w))). K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). K(x,y * (z \ K(u * w,u))) = K(x,y * (z \ K(u,w))). K(x,y * ((z / u) \ K(u,w))) != v5 | K(x,y / (z / T(u,w))) = v5. K(x,y / (z / T(u,u \ w))) = K(x,y * ((z / u) \ K(u,w))). x != K(y,z * (u \ K(w,v5))) | K(y,z * (u \ K(v5,w))) = x. K(x,y * (z \ K(u,w))) = K(x,y * (z \ K(w * u,w))). K(x,y * (z \ K(u * w,u))) = K(x,y * (z \ K(w,u))). K(x,y * ((z * u) \ K(u * w,u))) != v5 | K(x,y / T((w / (w / u)) * z,u)) = v5. K(x,y / T((z / (z / u)) * w,u)) = K(x,y * ((w * u) \ K(z,u))). K(x,(y * z) * (u \ K(y * w,y))) != v5 | K(x,((w / (w / y)) * z) / u) = v5. K(x,((y / (y / z)) * u) / w) = K(x,(z * u) * (w \ K(y,z))). K(x,y * (L(z / u,u,u) \ 1)) = K(x,y * (((u \ 1) * z) \ K(z,u))). K(x,y / (z / T(u,w))) = K(x,y / (z / T(u,u \ w))). K(x,y / (z / T(u,u \ w))) = K(x,y / (z / T(u,w))). x != K(y,z * ((u * w) \ K(v5,w))) | K(y,z / (u * T(w,v5))) = x. K(x,(y * z) / (u * T(y,w))) = K(x,((w / (w / y)) * z) / (u * y)). K(x,((y / (y / z)) * u) / (w * z)) = K(x,(z * u) / (w * T(z,y))). K(x,y / (z * T(u,w))) = K(x,y / T((w / (w / u)) * z,u)). K(x,y / T((z / (z / u)) * w,u)) = K(x,y / (w * T(u,z))). K(x,y / T((z / (z / u)) * w,u)) != v5 | K(x,y / (w * (u * K(u \ z,u)))) = v5. K(x,y / (z * (u * K(u \ w,u)))) = K(x,y / (z * T(u,w))). K(x,y / (z * (u * K(u \ w,u)))) != v5 | K(x,y / (z * ((u \ w) \ w))) = v5. K(x,y / (z * ((u \ w) \ w))) = K(x,y / (z * T(u,w))). K(x,K(y,z * u)) * K(x,y / (z * T(u,w))) = K(x,(z * ((u \ w) \ w)) \ y). K(x,(y * ((z \ u) \ u)) \ w) = K(x,K(w,y * z)) * K(x,w / (y * T(z,u))). K(x,y / ((z \ 1) * T(u,z))) = K(x,y * (L(u / z,z,z) \ 1)). K(x,y * (L(z / u,u,u) \ 1)) = K(x,y / ((u \ 1) * T(z,u))). x != K(y,z / ((u \ 1) * T(w,u))) | K(y,z / (w * (u \ 1))) = x. K(x,y / (z * (u \ 1))) = K(x,y * (L(z / u,u,u) \ 1)). K(x,y * (L(z / u,u,u) \ 1)) = K(x,y / (z * (u \ 1))). K(x,y / L(z / u,u,u)) = K(x,y / (z * (u \ 1))). K(x,y / L(K(z,u) * (u / w),w,w)) = K(x,y / (((z * u) / z) * (w \ 1))). K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / (((u * z) / u) * (u \ 1))). K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / ((u * z) / (u * u))). K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y / (u * (z / (u * u)))). x != K(y,z / (u * (w / (v5 * v5)))) | K(y,z * ((u * w) \ (v5 * v5))) = x. K(x,y * ((z * u) \ (z * z))) = K(x,y * (L(u / z,z,z) \ K(z,u))). K(x,y * (L(z / u,u,u) \ K(u,z))) = K(x,y * ((u * z) \ (u * u))). K(x,y * (L(z / u,u,u) \ K(u,z))) != w | K(x,y / ((u \ 1) * z)) = w. T(x,y / T(T(z \ ((z \ 1) \ u),z),z)) = T(x,y / (z \ ((1 / z) \ u))). T(x,y / (z \ ((1 / z) \ u))) != w | T(x,y / (z \ ((z \ 1) \ u))) = w. x != K(y,K(z,u * w)) * K(y,z / (u * T(w,v5))) | K(y,(u * T(w,v5)) \ z) = 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 * T(z,u)) \ w) = K(x,(y * T(z,u * z)) \ w). K(x,(y * T(z,u * z)) \ w) = K(x,(y * T(z,u)) \ w). K(x,(y * T(z \ 1,u * z)) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,T(T(y,y * T(z \ 1,u * z)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,K(y,z) * (T(z,y) \ u)) != w | K(x,z \ u) = w. K(x,y \ ((y \ z) \ u)) = K(x,L(T(z,y) \ u,T(y,z),y * z)). K(x,L(T(y,z) \ u,T(z,y),z * y)) = K(x,z \ ((z \ y) \ u)). K(x,(K(y,z) \ u) \ w) != v5 | K(x,u \ (K(z,y) \ w)) = v5. K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). K(x,K(y,z) \ (u \ (K(w,v5) \ v6))) = K(x,K(y,z) \ ((K(v5,w) \ u) \ v6)). K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) != v7 | K(x,v5 \ v6) = v7. K(x,y \ z) = K(x,K(u,w) \ (y \ (K(w,L(u,v5,v6)) \ z))). K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). K(x,K(y,z) \ (u \ w)) != v5 | K(x,u \ (K(y,z) \ w)) = v5. K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). K(x,y \ z) = K(x,y \ (z * a(u,w,K(v5,v6)))). K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,(v6 * (a(z,u,K(w,v5)) / y)) \ v6). K(x,(y * (a(z,u,K(w,v5)) / v6)) \ y) = L(K(x,v6),a(z,u,K(w,v5)),y). K(x,y / a(z,u,K(w,v5))) = L(K(x,y),a(z,u,K(w,v5)),v6). L(K(x,y),a(z,u,K(w,v5)),v6) = K(x,y / a(z,u,K(w,v5))). K(x,y / a(z,u,K(w,v5))) != v6 | K(x,y) = v6. K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. K(x,T(y * a(z,u,K(w,v5)),v6)) != v7 | K(x,T(y,v6)) = v7. K(x,K(y,L(z,u,w)) * (v5 \ ((y * u) * w))) = K(x,v5 \ (T(R(y,u,w),z) * (u * w))). K(x,y * (T(z,T(u,w)) * T(z \ u,w))) = K(x,y * T(z * T(z \ u,w),z)). K(x,y * T(z * T(z \ u,w),z)) = K(x,y * (T(z,T(u,w)) * T(z \ u,w))). x != K(y,z * (T(u,T(w,v5)) * v6)) | K(y,z * (T(u,w) * v6)) = x. K(x,y * (T(z,u) * T(z \ u,w))) = K(x,y * T(z * T(z \ u,w),z)). K(x,y * T(z * T(z \ u,w),z)) = K(x,y * (T(z,u) * T(z \ u,w))). K(x,y * (T(z \ u,w) * z)) = K(x,y * (T(z,u) * T(z \ u,w))). K(x,y * (T(z,u) * T(z \ u,w))) = K(x,y * (T(z \ u,w) * z)). x != K(y,z * (T(u \ w,v5) * u)) | K(y,z * (u * T(w / u,v5))) = x. K(x,y * (z * T(u / z,w))) = K(x,y * (T(z,u) * T(z \ u,w))). K(x,y * (T(z,u) * T(z \ u,w))) = K(x,y * (z * T(u / z,w))). K(x,y * (K(z,u * w) * T(w,u))) = K(x,y * (u * T(w / u,z))). K(x,y * (T(z,u) * K(w,z * u))) = K(x,y * (u * T(z / u,w))). K(x,T(y,z * u) * T(z,u)) = K(x,y * (u * T(z / u,y))). x != K(y,z * (u * T(w,v5 / v6))) | K(y,z * (u * T(w,v6 \ v5))) = x. K(x,(y / z) * (u * T(w / u,z \ y))) = K(x,T(y / z,w * u) * T(w,u)). K(x,T(y / z,u * w) * T(u,w)) = K(x,(y / z) * (w * T(u / w,z \ y))). K(x,T(1 / y,z) * u) != w | K(x,T(y,z) \ u) = w. K(x,T(y,z * u) \ T(z,u)) = K(x,(1 / y) * (u * T(z / u,y \ 1))). x != K(y,z * (u * T(w,v5 \ v6))) | K(y,z * (u * T(w,v5 * v6))) = x. K(x,(1 / y) * (z * T(u / z,y * 1))) = K(x,T(y,u * z) \ T(u,z)). K(x,T(y,z * u) \ T(z,u)) = K(x,(1 / y) * (u * T(z / u,y * 1))). K(x,T(y,z * u) \ T(z,u)) = K(x,(1 / y) * (u * T(z / u,y))). K(x,T(y,z * u) \ T(z,u)) != w | K(x,y \ (u * T(z / u,y))) = w. K(x,(((1 / y) * z) \ u) * K(y \ 1,y * w)) = K(x,(T(y \ 1,y \ w) * z) \ u). x != K(y,z * (K(u,w) * K(u,w))) | K(y,z) = x. K(x,y \ (z * u)) = K(x,y \ ((z * (K(w,v5) * K(w,v5))) * u)). K(x,y \ ((z * (K(u,w) * K(u,w))) * v5)) = K(x,y \ (z * v5)). K(x,y \ (z * ((K(u,w) * K(u,w)) * v5))) = K(x,y \ (z * v5)). K(x,y \ ((z * (u * K(w,u))) * v5)) = K(x,y \ ((z * T(u,w)) * v5)). K(x,T(y,T(z,u * w) \ v5) \ (T(z,u * w) \ v5)) = K(x,(T(z,u \ w) \ v5) / y). K(x,K(y,z) * (u \ ((y * w) * v5))) = K(x,u \ (T(R(y,w,v5),z) * (w * v5))). K(x,y \ (T(R(z,u,w),v5) * (u * w))) = K(x,K(z,v5) * (y \ ((z * u) * w))). K(x,y \ ((T(z,u) * w) * v5)) = K(x,K(z,u) * (y \ ((z * w) * v5))). K(x,K(y,z) * (u \ ((y * w) * v5))) = K(x,u \ ((T(y,z) * w) * v5)). K(x,K(y,z) * (u \ ((y * z) * w))) != v5 | K(x,u \ (T(y * z,z) * w)) = v5. K(x,y \ (T(z * u,u) * w)) = K(x,y \ ((T(z,u) * u) * w)). x != K(y,z \ ((T(u,w) * w) * v5)) | K(y,z \ ((w * u) * v5)) = x. K(x,y \ ((z * u) * w)) = K(x,y \ (T(u * z,z) * w)). K(x,y \ (T(z * u,u) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ (T(z * u,u) * w)) != v5 | K(x,y \ (T(z * u,z) * w)) = v5. K(x,y \ (T(z * u,z) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ ((u * K(u \ z,u)) * w)). K(x,y \ (T(z,u) * w)) = K(x,y \ (((u \ z) * u) * w)). K(x,y \ (((z \ u) * z) * w)) = K(x,y \ (T(u,z) * w)). K(x,y \ (T(z / (z \ u),z) * w)) = K(x,y \ (((((u \ z) \ 1) \ 1) * z) * w)). K(x,y \ ((z \ T(u,z \ 1)) * w)) = K(x,y \ (T(z \ u,z \ 1) * w)). K(x,y \ (T(z \ u,z \ 1) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). K(x,y \ (((z \ (L(z,u,z) * u)) * z) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ ((z / T(u \ 1,z)) * w)) = K(x,y \ (T(z / (1 / u),T(u \ 1,u \ z)) * w)). K(x,y \ (T(z / (1 / u),T(u \ 1,u \ z)) * w)) = K(x,y \ ((z / T(u \ 1,z)) * w)). K(x,y \ ((z * L(u,z,u)) * w)) = K(x,y \ ((z * u) * w)). K(x,y \ ((z * L(u,z,u)) * w)) != v5 | K(x,y \ ((T(u,z * u) * z) * w)) = v5. K(x,y \ ((T(z,u * z) * u) * w)) = K(x,y \ ((u * z) * w)). K(x,y \ ((T(z,z * u) * u) * w)) = K(x,y \ ((u * z) * w)). K(x,T(y * (y * z),y) \ ((T(y,y * z) * z) * u)) != w | K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = w. K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,T(y * (y * z),y) \ ((z * y) * u)). K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (u * (K(u \ z,u) * w))). K(x,y \ (T(z,u \ w) * v5)) != v6 | K(x,y \ (T(z,u * w) * v5)) = v6. K(x,y \ (T(z \ u,z * 1) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). x != K(y,z \ (u * (K(w,u) * v5))) | K(y,z \ (T(u,w) * v5)) = x. K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(u / (u / z),z) * w)). K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (T(u,u \ z) * w)). x != K(y,z \ (T(u,u \ w) * v5)) | K(y,z \ (T(u,w) * v5)) = x. K(x,y \ (T(z,u) * w)) = K(x,y \ (T(u / (u / z),z) * w)). K(x,y \ (T(z / (z / u),u) * w)) = K(x,y \ (T(u,z) * w)). K(x,y \ ((z / (z / u)) * w)) = K(x,y \ (T(u,z) * w)). K(x,K(y,z * u)) * K(x,y \ (T(z,w) * u)) = K(x,((w / (w / z)) * u) / y). K(x,((y / (y / z)) * u) / w) = K(x,K(w,z * u)) * K(x,w \ (T(z,y) * u)). K(x,y \ (T(z \ u,z) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). K(x,y \ ((z \ T(u,z \ 1)) * w)) = K(x,y \ (T(z \ u,z) * w)). 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 \ ((u \ T(z,u \ 1)) * w)). K(x,y \ ((z \ T(u,z \ 1)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (((((z \ u) \ 1) \ 1) * u) * w)) != v5 | K(x,y \ (((u \ z) \ u) * w)) = v5. x != K(y,K(z,u * w)) * K(y,z \ (T(u,v5) * w)) | K(y,(T(u,v5) * w) / z) = x. K(x,(T(y,z) * u) / w) = K(x,((z / (z / y)) * u) / w). K(x,((y / (y / z)) * u) / w) = K(x,(T(z,y) * u) / w). K(x,((y / (y / z)) * u) / (w * z)) != v5 | K(x,(z * u) / (w * T(z,y))) = v5. K(x,(y * z) / (u * T(y,w))) = K(x,(T(y,w) * z) / (u * y)). K(x,(T(y,z) * u) / (w * y)) = K(x,(y * u) / (w * T(y,z))). K(x,(T(y,z) \ u) / (z / y)) = K(x,(y * u) / (z * T(y,z))). K(x,(T(y,z) \ u) / (z / y)) = K(x,(y * u) / (y * z)). x != K(y,z / (u * ((w / u) \ 1))) | K(y,(u * ((z / u) \ 1)) \ w) = x. K(x,(y * (((y * z) / y) \ 1)) \ u) = K(x,(T(y,(u / y) \ 1) \ z) / (((u / y) \ 1) / y)). K(x,(T(y,(z / y) \ 1) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). K(x,(((1 / y) * z) \ u) * K(y,y * w)) = K(x,(T(y \ 1,y \ w) * z) \ u). K(x,(((1 / y) * z) \ u) * K(w,y)) = K(x,(T(y \ 1,y \ w) * z) \ u). K(x,(T(y \ 1,y \ z) * u) \ w) = K(x,(((1 / y) * u) \ w) * K(z,y)). K(x,(T(y \ 1,y \ z) * u) \ w) != v5 | K(x,(T(y \ 1,z) * u) \ w) = v5. K(x,(T(y \ 1,z) * u) \ w) = K(x,(((1 / y) * u) \ w) * K(z,y)). K(x,(((1 / y) * z) \ u) * K(w,y)) = K(x,(T(y \ 1,w) * z) \ u). K(x,(((1 / y) * T(z,y)) \ u) * K(w,y)) != v5 | K(x,(((y * y) \ z) * T(y,w)) \ u) = v5. K(x,(((y * y) \ z) * T(y,u)) \ w) = K(x,(T(y \ 1,u) * T(z,y)) \ w). K(x,(T(y \ 1,z) * T(u,y)) \ w) = K(x,(((y * y) \ u) * T(y,z)) \ w). K(x,(T(y,z \ u) \ w) / v5) != v6 | K(x,(T(y,z * u) \ w) / v5) = v6. x \ (K(y,z) * u) = (x \ (K(z,y) * u)) * (K(y,z) * K(y,z)). (x \ (K(y,z) * u)) * (K(z,y) * K(z,y)) = x \ (K(z,y) * u). ((x \ y) \ (K(y,x) * z)) * (K(x,y) * K(x,y)) != u | ((K(x,y) \ 1) * (x \ y)) \ z = u. ((K(x,y) \ 1) * (x \ y)) \ z = (x \ y) \ (K(x,y) * z). (K(x,y) * (y \ x)) \ z = (y \ x) \ (K(y,x) * z). (T(x,y) \ y) \ z = (x \ y) \ (K(x,y) * z). (x \ y) \ (K(x,y) * z) = (T(x,y) \ y) \ z. K(x,(L(y,y,K(y,z) * u) \ z) \ L(K(y,z) * u,y,y)) = K(x,(T(y,z) \ z) \ u). K(x,y \ L(K(z,u) * w,z,z)) != v5 | K(x,K(z,u) * (y \ L(w,z,z))) = v5. K(x,K(y,z) * ((L(y,y,K(y,z) * u) \ z) \ L(u,y,y))) = K(x,(T(y,z) \ z) \ u). K(x,K(y,z) * ((u \ z) \ w)) != v5 | K(x,(u \ T(z,y)) \ w) = v5. K(x,(L(y,y,K(y,z) * u) \ T(z,y)) \ L(u,y,y)) = K(x,(T(y,z) \ z) \ u). K(x,(L(y,y,z) \ T(u,y)) \ w) != v5 | K(x,(u / L(y,y,z)) \ w) = v5. K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)) = K(x,(T(z,y) \ y) \ u). x != K(y,(T(z,u) \ u) \ w) | K(y,(u / z) \ w) = x. K(x,(y / z) \ u) = K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)). K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)) = K(x,(y / z) \ u). K(x / T((y \ 1) * T(z,y),y),u) = K(x / (T(y,y \ 1) * ((y * y) \ z)),u). K(x / (T(y,y \ 1) * ((y * y) \ z)),u) = K(x / T((y \ 1) * T(z,y),y),u). x != K(y / T((z \ 1) * u,z),w) | K(y / (u * (z \ 1)),w) = x. K(x / (T(y,z) * (z \ 1)),u) = K(x / (T(z,z \ 1) * ((z * z) \ y)),u). K(x / (T(y,y \ 1) * ((y * y) \ z)),u) = K(x / (T(z,y) * (y \ 1)),u). K(x / ((1 / y) * z),u) = K(x / (T(z,y) * (y \ 1)),u). K(x / (T(y,z) * (z \ 1)),u) = K(x / ((1 / z) * y),u). x != K(y / ((1 / z) * u),w) | K(y / ((z \ 1) * u),w) = x. K(x / ((y \ 1) * z),u) = K(x / (T(z,y) * (y \ 1)),u). K(x / (T(y,z) * (z \ 1)),u) = K(x / ((z \ 1) * y),u). K((((x \ 1) \ y) * (x \ 1)) / (T((x \ 1) \ z,x) * (x \ 1)),u) != w | K(T(z,x) \ y,T(u,z * x)) = w. K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / ((y \ 1) * ((y \ 1) \ x)),u). K(x,(y \ 1) * ((y \ 1) * ((1 / L(y,z,z)) \ u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). K(x,y * (T(T(y,z),z) * (u \ w))) = K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w). K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w) = K(x,y * (T(T(y,z),z) * (u \ w))). x != K(y,z * (T(T(u,w),w) * v5)) | K(y,z * (u * v5)) = x. K(x,y * (y * (z \ u))) = K(x,((y \ 1) * (T(T(y,w),w) \ z)) \ u). K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w) = K(x,y * (y * (u \ w))). K(x,K(y,z) * (y \ u)) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). K(x,T(y,z) \ u) * K(x,K(u,y * K(z,y \ 1))) = K(x,u * T(y \ 1,z)). K(x,T(y,z) \ u) * K(x,K(u,y)) = K(x,u * T(y \ 1,z)). K(x,y * T(z \ 1,u)) != w | K(x,y / T(z,u)) = w. K(x,((a(y,z,u) \ 1) \ w) / T(a(y,z,u),v5)) = K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,y \ (T(y,y * z) \ u)). x != K(y,z \ ((u / T(w,u)) * v5)) | K(y,z \ ((w \ u) * v5)) = x. K(x,y \ (((z \ 1) \ u) * w)) = K(x,y \ (T(u / (1 / z),T(z \ 1,z \ u)) * w)). K(x,y \ (T(z / (1 / u),T(u \ 1,u \ z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). K(x,y \ (T(z / (1 / u),T(u \ 1,u * z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). K(x,y \ (T(z / (1 / u),T(u \ 1,z)) * w)) = K(x,y \ (((u \ 1) \ z) * w)). K(x,y \ (T((1 / z) \ u,K(1,z)) * w)) = K(x,y \ (((z \ 1) \ u) * w)). K(x,y \ (((1 / z) \ u) * w)) = K(x,y \ (((z \ 1) \ u) * w)). K(x,y \ ((z \ u) * w)) = K(x,y \ ((((z \ 1) \ 1) \ u) * w)). K(x,y \ ((((z \ 1) \ 1) \ u) * w)) = K(x,y \ ((z \ u) * w)). K(x,y \ ((z * u) * w)) = K(x,y \ (((z \ 1) \ L(u,z,z)) * w)). K(x,y \ (((z \ 1) \ L(u,z,z)) * w)) = K(x,y \ ((z * u) * w)). K(x,y \ ((((1 / z) \ 1) \ T(u,1 / z)) * w)) = K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)). K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((((1 / z) \ 1) \ T(u,1 / z)) * w)). K(x,y \ ((((z \ 1) \ 1) * u) * w)) = K(x,y \ ((z * u) * w)). K(x,y \ (((z \ u) \ z) * w)) = K(x,y \ (((u \ z) * z) * w)). K(x,y \ (z * ((u \ w) \ u))) = K(x,y \ (((w \ u) * u) * T(z,(u \ w) \ u))). K(x,y \ (((z \ u) * u) * T(w,(u \ z) \ u))) = K(x,y \ (w * ((u \ z) \ u))). K(x,y \ (((z \ u) * u) * T(w,u * (u / z)))) = K(x,y \ (w * ((u \ z) \ u))). K(x,y \ (z * ((u \ w) * w))) = K(x,y \ (z * ((w \ u) \ w))). K(x,y \ (z * ((u \ w) \ u))) = K(x,y \ (z * ((w \ u) * u))). K(x,y \ (z * ((u \ w) \ u))) != v5 | K(x,y \ (z * (u * (u / w)))) = v5. K(x,y \ (z * (u * (u / w)))) = K(x,y \ (z * ((w \ u) * u))). K(x,y \ (z * ((u \ w) * w))) = K(x,y \ (z * (w * (w / u)))). K(x,y \ (((z \ u) * u) * w)) = K(x,y \ (T(w,z) * (u * (u / z)))). K(x,y \ (T(z,u) * (w * (w / u)))) = K(x,y \ (((u \ w) * w) * z)). K(x,y \ ((z * (z / u)) * w)) = K(x,y \ (((u \ z) * z) * w)). K(x,y \ (((z \ u) * u) * w)) = K(x,y \ ((u * (u / z)) * w)). K(x,y \ (((T(z,u) \ (z * u)) * (z * u)) * w)) = K(x,y \ (((z * u) * u) * w)). K(x,y \ ((T(z,u) * (u * z)) * w)) = K(x,y \ (((u * z) * z) * w)). K(x,y \ ((z * (z * u)) * w)) = K(x,y \ (((u * z) * z) * w)). K(x,y \ (((z * u) * u) * w)) = K(x,y \ ((u * (u * z)) * w)). K(x,((y * z) * y) \ ((z * y) * u)) = K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)). K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,((y * z) * y) \ ((z * y) * u)). x != K(y,((z * u) * z) \ w) | K(y,(z * (u * z)) \ w) = x. K(x,(y * (z * y)) \ ((z * y) * u)) = K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)). K(x,(y * (y * z)) \ ((y \ (y * (y * z))) * u)) = K(x,(y * (z * y)) \ ((z * y) * u)). K(x,(y * (y * z)) \ ((y * z) * u)) = K(x,(y * (z * y)) \ ((z * y) * u)). K(x,(y * (z * y)) \ ((z * y) * u)) = K(x,(y * (y * z)) \ ((y * z) * u)). x != K(y,(z * (z * u)) \ ((z * u) * w)) | K(y,u \ ((z \ u) * w)) = x. K(x,y \ ((z \ y) * u)) = K(x,(z * (y * z)) \ ((y * z) * u)). K(x,(y * (z * y)) \ ((z * y) * u)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,z) \ u,u,z * y)) = K(x,z \ ((y \ z) * u)). K(x,y * ((z \ (y \ 1)) * u)) = K(x,L(T(z,y \ 1) \ u,u,(y \ 1) * z)). K(x,L(T(y,z \ 1) \ u,u,(z \ 1) * y)) = K(x,z * ((y \ (z \ 1)) * u)). K(x,L(T(y,T(z,u)) \ w,w,(z * K(u,z)) * y)) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). K(x,L(T(y,z \ 1) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). K(x,L(T(y,z * 1) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). K(x,L(T(y,z) \ u,u,z * y)) = K(x,z * ((y \ (z \ 1)) * u)). K(x,L(T(y,z) \ u,u,z * y)) != w | K(x,z \ ((y \ z) * u)) = w. K(x,y \ ((z \ y) * u)) = K(x,y * ((z \ (y \ 1)) * u)). K(x,y * ((z \ (y \ 1)) * u)) = K(x,y \ ((z \ y) * u)). K(x,(y \ 1) \ ((z \ (y \ 1)) * u)) = K(x,y \ ((z \ y) * u)). K(x,(T(y,z \ (y * 1)) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). K(T(x,y) \ z,T(u,x * y)) = K((((y \ 1) \ z) * (y \ 1)) / x,u). x != K(((y \ z) * y) / u,w) | K(T(z,y) / u,w) = x. K(T(x,y \ 1) / z,u) = K(T(z,y) \ x,T(u,z * y)). K(T(x,y) \ z,T(u,x * y)) = K(T(z,y \ 1) / x,u). x != K(T(y,z \ u) / w,v5) | K(T(y,z * u) / w,v5) = x. K(T(x,y * 1) / z,u) = K(T(z,y) \ x,T(u,z * y)). K(T(x,y) \ z,T(u,x * y)) = K(T(z,y * 1) / x,u). K(T(x,y) \ z,T(u,x * y)) = K(T(z,y) / x,u). K(T(K(x,T(y,z)) / x,z) \ y,T(u,(K(x,T(y,z)) / x) * z)) = K(T(T(y,z),x) / (1 / x),u). a(x,y,K(T(z,u) / w,v5)) = a(x,y,K(T(w,u) \ 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(T(z,w) \ u,v5)). a(x,y,K(T(z,u) \ w,v5)) = a(x,y,K(z * T(w,u),v5)). a(x,y,K(z \ u,w)) != v5 | a(x,y,K(z * u,w)) = v5. a(x,y,K(T(z,u) * w,v5)) = a(x,y,K(z * T(w,u),v5)). K(x,y * (y * ((1 / z) \ u))) != w | K(x,y * (y * (z * u))) = w. K(x,(y \ 1) * ((y \ 1) * (L(y,z,z) * u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). K(x,y \ ((y \ 1) * (L(y,z,z) * u))) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,y \ ((y \ 1) * (L(y,z,z) * u))). K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,(y * y) \ (L(y,z,z) * u)). K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,((y * y) \ L(y,z,z)) * u). K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,L(1 / y,z,z) * u). x != K(y,L(1 / z,u,w) * v5) | K(y,L(z \ 1,u,w) * v5) = x. K(x,L(y \ 1,z,z) * u) = K(x,(((1 / y) \ 1) * a(z,z,y)) \ u). K(x,(((1 / y) \ 1) * a(z,z,y)) \ u) = K(x,L(y \ 1,z,z) * u). K(x,(y * a(z,z,y)) \ u) = K(x,L(y \ 1,z,z) * u). x != T(y,z \ (T(u,u * w) \ v5)) | T(y,z \ (T(u,w) \ v5)) = x. T(x,y \ (T(y,z) \ u)) = T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (z / y)) \ u)) = T(x,y \ (T(y,z) \ u)). T(x,((1 / y) * (z / y)) * (T(z,(1 / y) * (y \ z)) \ u)) = T(x,y \ (T(y,z) \ u)). T(x,((1 / y) * (z / y)) * (T(z,y \ (y \ z)) \ u)) = T(x,y \ (T(y,z) \ u)). T(x,((1 / y) * (z / y)) * (K(z,y * y) * (z \ u))) = T(x,y \ (T(y,z) \ u)). T(x,((1 / y) * (z / y)) * (T(z,y * y) \ u)) = T(x,y \ (T(y,z) \ u)). T(x,y * (T(z,u * u) \ w)) != v5 | T(x,y * (z \ w)) = v5. T(x,((1 / y) * (z / y)) * (z \ u)) = T(x,y \ (T(y,z) \ u)). T(x,((y \ 1) * (z / y)) * (z \ u)) = T(x,y \ (T(y,z) \ u)). K(x,(T(y,z \ y) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). K(x,(T(y,z * y) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). K(x,(T(y,y * z) \ u) / (((z / y) \ 1) / y)) = K(x,(y * (((y * u) / y) \ 1)) \ z). K(x,(y * (((y * z) / y) \ 1)) \ u) != w | K(x,(T(y,u) \ z) / (((u / y) \ 1) / y)) = w. K(x,K(y,L(z,u,w)) * ((w * (u * z)) \ v5)) = K(x,(w * (u * (z * K(y,z)))) \ v5). K(x,K(y,L(z,u,w)) * ((w * (u * z)) \ v5)) != v6 | K(x,(w * (u * T(z,y))) \ v5) = v6. K(x,(y * (z * T(u,w))) \ v5) = K(x,(y * (z * (u * K(w,u)))) \ v5). K(x,(y * (z * (u * K(w,u)))) \ v5) = K(x,(y * (z * T(u,w))) \ v5). x != K(y,T(z,u)) / (u * K(w,v5)) | (K(v5,w) / u) * K(y,z) = x. (K(x,y) / z) * K(y * x,y) = ((z * (y \ R(y,x,y))) / (K(y,x) * z)) / (K(y,x) * z). ((x * (y \ R(y,z,y))) / (K(y,z) * x)) / (K(y,z) * x) = (K(z,y) / x) * K(y * z,y). K(x * y,x) / (K(x,y) * z) = (K(y,x) / z) * K(x * y,x). K(x,y) / (K(z,u) * w) != v5 | (K(x,y) / w) * K(u,z) = v5. (K(x * y,x) / z) * K(y,x) = (K(y,x) / z) * K(x * y,x). a(K(x,y) * ((K(y,x) / z) * K(x * y,x)),u,w) = a((1 / z) * K(x * y,x),u,w). a(T(a(x,y,x) * (K(y,x) / z),K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). a(T(x,K(y,z)),u,w) != v5 | a(x,u,w) = v5. a(a(x,y,x) * (K(y,x) / z),u,w) = a((1 / z) * K(x * y,x),u,w). a(x * (K(y,z) / u),w,v5) != v6 | a(x * (u * K(z,y)),w,v5) = v6. a(a(x,y,x) * (z * K(x,y)),u,w) = a((1 / z) * K(x * y,x),u,w). a(x * K(y,z),u,w) = a((1 / x) * K(y * z,y),u,w). a((1 / x) * K(y * z,y),u,w) = a(x * K(y,z),u,w). a(x * K(y * z,y),u,w) = a(x * K(y,z),u,w). a((x \ y) * K(z * (z \ y),z),u,w) = a(x \ (z * (y / z)),u,w). a((x \ y) * K(y,z),u,w) = a(x \ (z * (y / z)),u,w). a(x \ (y * (z / y)),u,w) = a((x \ z) * K(z,y),u,w). a(x \ (y * (z / y)),u,w) = a(x \ T(z,y),u,w). a(x \ (T(y,y * z) * z),u,w) = a(x \ T((y * (z * y)) / y,T(y,y * z)),u,w). a(x \ T((y * (z * y)) / y,T(y,y * z)),u,w) = a(x \ (T(y,y * z) * z),u,w). a(x \ T((y * (z * y)) / y,T(y,z)),u,w) = a(x \ (T(y,y * z) * z),u,w). a(x \ T(y * z,K(z,y)),u,w) = a(x \ (T(z,z * y) * y),u,w). a(x \ (y * z),u,w) = a(x \ (T(z,z * y) * y),u,w). a(x \ (T(y,y * z) * z),u,w) = a(x \ (z * y),u,w). K(x,(y \ L(y,z,z)) * u) != w | K(x,a(y,z,z) * u) = w. K(x,a(y,z,z) * ((L(y,z,z) \ u) * a(y,z,z))) = K(x,(y * (1 / (y \ L(y,z,z)))) \ u). x != K(y,K(z \ 1,z) * u) | K(y,u) = x. K(x,(y * ((z \ 1) * u)) \ w) = K(x,(y * T((1 / z) * u,K(z,z \ 1))) \ w). K(x,(y * T((1 / z) * u,K(z,z \ 1))) \ w) = K(x,(y * ((z \ 1) * u)) \ w). K(x,(y * ((1 / z) * u)) \ w) = K(x,(y * ((z \ 1) * u)) \ w). K(x,(y * ((1 / y) * z)) \ u) != w | K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = w. K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,(y * ((y \ 1) * z)) \ u). K(x,L((y * z) \ ((y \ 1) \ u),z,y)) = K(x,L(z,y,y) \ u). K(x,y * (z \ ((z \ 1) \ u))) = K(x,L(y \ 1,z,z) \ u). K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z) \ u). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,L(T(u,z),y,y) \ z). K(x,L(T(y,z),u,u) \ z) = K(x,(u \ ((u \ 1) \ z)) / y). K(x,y \ (z \ T(u * z,z \ 1))) = K(x,L(y,z,z) \ R(u,z,z)). K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ (z \ T(u * z,z \ 1))). K(x,y * (z \ ((z \ 1) \ u))) != w | K(x,y * (z \ ((1 / z) \ u))) = w. K(x,y * (z \ ((1 / z) \ u))) = K(x,L(y \ 1,z,z) \ u). K(x,(y \ ((y \ 1) \ z)) * (u \ 1)) = K(x,L((u \ K(y \ ((y \ 1) \ z),u \ 1)) \ 1,y,y) \ z). K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,(z \ ((z \ 1) \ u)) * (y \ 1)). K(x,y / L(z,u,u)) = K(x,(u \ ((u \ 1) \ y)) / z). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y)). K(x,(y \ ((y \ 1) \ z)) * u) = K(x,z / L(u \ 1,y,y)). K(x,(y \ ((y \ 1) \ z)) * ((y * y) \ u)) != w | K(x,(y \ (y \ z)) * u) = w. K(x,(y \ (y \ z)) * u) = K(x,z / L(((y * y) \ u) \ 1,y,y)). K(x,y / L(((z * z) \ u) \ 1,z,z)) = K(x,(z \ (z \ y)) * u). K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ T((z \ u) * z,z \ 1)). x != K(y,z \ T(u,w \ 1)) | K(y,z \ T(u,w)) = x. K(x,y \ T((z \ u) * z,z)) = K(x,L(y,z,z) \ R(u,z,z)). K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ T((z \ u) * z,z)). x != K(y,z \ T(u * w,w)) | K(y,z \ (w * u)) = x. K(x,y \ (z * (z \ u))) = K(x,L(y,z,z) \ R(u,z,z)). K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ (z * (z \ u))). K(x,L(y,z,z) \ R(u,z,z)) = K(x,y \ u). K(x,y \ R(z,u,u)) != w | K(x,y \ L(z,u,u)) = w. K(x,L(y,z,z) \ L(u,z,z)) = K(x,y \ u). K(T(K(x,T(y,z)) / x,z) \ y,T(u,K(x,T(y,z)) * (x \ z))) = K(T(T(y,z),x) / (1 / x),u). K(T(K(x,T(y,z)) / x,z) \ y,T(u,T(x,y) \ z)) = K(T(T(y,z),x) / (1 / x),u). K(T(K(x,T(y,z)) / x,z) \ y,T(u,T(x,y) * z)) = K(T(T(y,z),x) / (1 / x),u). K(T(K(x,T(y,z)) / x,z) \ y,T(u,x * z)) = K(T(T(y,z),x) / (1 / x),u). K(K(T(x,y),z) * (T(z,y) * x),T(u,z * y)) = K(T(T(x,y),z) / (1 / z),u). K(K(x,T(y,z)) * (T(y,z) * x),T(u,y * z)) = K(T(T(x,z),y) / (1 / y),u). K(x * T(y,z),T(u,y * z)) = K(T(T(x,z),y) / (1 / y),u). K(T(T(x,y),z) / (1 / z),u) = K(x * T(z,y),T(u,z * y)). K(T(T(x,y),z) * z,u) = K(x * T(z,y),T(u,z * y)). K(x * T(y,z),T(u,y * z)) = K(T(T(x,z),y) * y,u). x != K(T(y,z) * z,u) | K(z * y,u) = x. K(x * T(y,z),u) = K(y * T(x,z),T(u,x * z)). K(x * T(y,z),T(u,y * z)) = K(y * T(x,z),u). K((x * y) * R(z,y,x),u) = K(x * T(z * y,y),u). x != K(y * T(z * u,u),w) | K(y * (u * z),w) = x. K(x * (y * z),u) = K((x * y) * R(z,y,x),u). K((x * y) * R(z,y,x),u) = K(x * (y * z),u). K((x * y) * R(z,y,x),u) != w | K(x * (y * z),u) = w. (x * K(y * (z * u),w)) \ x = K(w,(y * z) * R(u,z,y)). K(x,(y * z) * R(u,z,y)) = (w * K(y * (z * u),x)) \ w. 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 * z) * R(u,y,T(z,y))) = K(x,T(z,y) * (y * u)). K(x,(y * z) * R(T(u,y * z),z,y)) = K(x,L(u,z,y) * (y * z)). K(x,(y * z) * R(u,y,z)) = K(x,T(z,y) * (y * u)). K(x,R(y,z,u) * (u * z)) = K(x,L(y,z,u) * (u * z)). K(x,(y * z) * T(u,z)) = K(x,L(y,z,u) * (u * z)). K(x,L(y,z,u) * (u * z)) = K(x,(y * z) * T(u,z)). K(x,L(y,z \ u,1 / z) * ((z * z) \ u)) = K(x,(y * (z \ u)) * T(1 / z,z \ u)). K(x,L(y,z,u) * (T(u,z) * z)) = K(x,(y * z) * T(T(u,z),z)). x != K(y,z * T(T(u,w),w)) | K(y,z * u) = x. K(x,(y * z) * u) = K(x,L(y,z,u) * (T(u,z) * z)). K(x,L(y,z,u) * (T(u,z) * z)) = K(x,(y * z) * u). K(x,L(y,z,u) * (z * u)) = K(x,(y * z) * u). K(x,L(y,z / u,u \ 1) * (z / (u * u))) = K(x,(y * (z / u)) * (u \ 1)). K(x,L(y,(z \ 1) \ (u * z),1 / z) * (T(u,z \ 1) * z)) = K(x,(y * ((z \ 1) \ (u * z))) * (1 / z)). K(x,L(y,z / u,u) * (z / (u * u))) = K(x,(y * (z / u)) * (u \ 1)). K(x,L(y,z \ u,z) * (u / (z * z))) = K(x,(y * (u / z)) * (z \ 1)). K(x,L(y,z \ u,z) * ((z * z) \ u)) = K(x,(y * (u / z)) * (z \ 1)). K(x,L(y,z \ u,z) * ((z * z) \ u)) != w | K(x,(y * (u / z)) / z) = w. K(x,L(y,z \ u,z) * ((z * z) \ u)) = K(x,(y * (z \ u)) * T(1 / z,z \ u)). K(x,(y * (z / u)) / u) = K(x,(y * (u \ z)) * T(1 / u,u \ z)). K(x,(y * (z \ u)) * T(1 / z,z \ u)) = K(x,(y * (u / z)) / z). K(x,(y * (z \ u)) * T(z \ 1,u * z)) = K(x,(y * (u / z)) / z). K(x,(y * (z \ u)) / T(z,u * z)) = K(x,(y * (u / z)) / z). K(x,y / T(z,u * z)) != w | K(x,y / T(z,u)) = w. K(x,(y * (z \ u)) / T(z,u)) = K(x,(y * (u / z)) / z). K(x,L(y / ((z \ u) \ z),z,z * u)) = K(x,(y * (u / z)) / z). K(x,L(T(y,T(z,u)) \ w,w,z * (K(u,z) * y))) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). K(x,(y \ ((y \ 1) \ z)) / u) = K(x,L((u \ K(y \ ((y \ 1) \ z),u \ 1)) \ 1,y,y) \ z). K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,(z \ ((z \ 1) \ u)) / y). x != K(y,(z \ ((z \ 1) \ u)) / w) | K(y,u / L(w,z,z)) = x. K(x,y / L(z,u,u)) = K(x,L((z \ K(u \ ((u \ 1) \ y),z \ 1)) \ 1,u,u) \ y). K(x,L((y \ K(z \ ((z \ 1) \ u),y \ 1)) \ 1,z,z) \ u) = K(x,u / L(y,z,z)). K(x,L((y \ K(z,y \ 1)) \ 1,u,u) \ z) = K(x,z / L(y,u,u)). K(x,L(((y * (z \ 1)) / y) \ 1,u,u) \ y) = K(x,y / L(z,u,u)). K(x,L((y \ 1) \ K(y \ 1,z),u,u) \ z) = K(x,z / L(y,u,u)). K(x,L((y * y) * (y \ K(y \ 1,z)),u,u) \ z) = K(x,z / L(y,u,u)). K(x,L((y * y) * T(y \ 1,z),u,u) \ z) = K(x,z / L(y,u,u)). K(x,L(y * (y * T(1 / y,z)),u,u) \ z) = K(x,z / L(y,u,u)). K(x,L(y * (y * z),u,w) \ v5) != v6 | K(x,L(z,u,w) \ (y \ (y \ v5))) = v6. K(x,L(T(1 / y,z),u,u) \ (y \ (y \ z))) = K(x,z / L(y,u,u)). K(x,L(T(1 / y,z),u,w) \ v5) != v6 | K(x,L(T(y \ 1,z),u,w) \ v5) = v6. K(x,L(T(y \ 1,z),u,u) \ (y \ (y \ z))) = K(x,z / L(y,u,u)). K(x,L(T(y,T(z,u)) \ w,w,T(z,u) * y)) = K(x,(z * K(u,z)) \ ((y \ (z * K(u,z))) * w)). K(x,T(y,z) \ ((u \ T(y,z)) * w)) = K(x,(y * K(z,y)) \ ((u \ (y * K(z,y))) * w)). K(x,(y * K(z,y)) \ ((u \ (y * K(z,y))) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). K(x,(y * K(z,y)) \ (((u \ y) * K(z,y)) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). K(x,K(y,z) * (y \ (((u \ y) * K(z,y)) * w))) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). K(x,T(y,z) \ (((u \ y) * K(z,y)) * w)) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). K(x,K(y,z) * (T(y,z) \ ((u \ y) * w))) = K(x,T(y,z) \ ((u \ T(y,z)) * w)). K(x,y \ ((z \ y) * u)) = K(x,T(y,w) \ ((z \ T(y,w)) * u)). K(x,T(y,z) \ ((u \ T(y,z)) * w)) = K(x,y \ ((u \ y) * w)). T(x,y \ (T(T(z,u \ (w \ (u \ 1))),w \ (u \ ((u * w) \ 1))) \ v5)) = T(x,y \ (((w * z) / w) \ v5)). K(x,T(T(y,y / T(z,u * z)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,T(T(y,y / T(z,z * u)) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,T(T(y,T(z,z * u) \ y) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,T(T(y,T(z,u) \ y) * T(z \ 1,u * z),y) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,(T(y \ 1,z * y) * T(u,T(y,z) \ u)) \ w) = K(x,(u * T(y \ 1,z)) \ w). T(x,y \ (T(z,(u * w) \ ((u * w) \ (u \ (w \ (u \ 1))))) \ v5)) = T(x,y \ (((w * z) / w) \ v5)). T(x,y \ (T(z,(u * w) * ((u * w) \ (u \ (w \ (u \ 1))))) \ v5)) = T(x,y \ (((w * z) / w) \ v5)). T(x,y \ (T(z,u \ (w \ (u \ 1))) \ v5)) = T(x,y \ (((w * z) / w) \ v5)). T(x,y \ (T(z,u * (w \ u)) \ v5)) = T(x,y \ (((w * z) / w) \ v5)). x != T(y,z \ (((u * w) / u) \ v5)) | T(y,z \ (T(w,u) \ v5)) = x. T(x,y \ (T(z,u) \ w)) = T(x,y \ (T(z,v5 * (u \ v5)) \ w)). T(x,y \ (T(z,u * (w \ u)) \ v5)) = T(x,y \ (T(z,w) \ v5)). K(x,L(y,(z \ 1) \ (u * z),z) * (T(u,z \ 1) * z)) = K(x,(y * ((z \ 1) \ (u * z))) * (1 / z)). K(x,L(y,z \ (u * z),z) * (T(u,z \ 1) * z)) = K(x,(y * ((z \ 1) \ (u * z))) * (1 / z)). K(x,L(y,T(z,u),u) * (T(z,u \ 1) * u)) = K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)). K(x,L(y,z,u) * (T(z,u \ 1) * u)) = K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)). K(x,L(y,z,u) * (T(z,u * 1) * u)) = K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)). K(x,L(y,z,u) * (T(z,u) * u)) = K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)). K(x,L(y,z,u) * (u * z)) = K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,T(z,y))) \ w). x != K(y,(z * T(u,T(w,v5))) \ v6) | K(y,(z * T(u,w)) \ v6) = x. K(x,((1 / ((y * z) / y)) * T(u,z)) \ w) = K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / ((y * z) / y)) * T(u,z)) \ w). K(x,((((y * z) / y) \ 1) * T(u,z)) \ w) = K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((((y * z) / y) \ 1) * T(u,z)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((1 / T((y * z) / y,u)) * u) \ w). K(x,((T((y * z) / y,u) \ 1) * u) \ w) = K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w). K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,(((((z * u) / z) * ((z * u) / z)) \ y) * T(u,z)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,(u * (((y * z) / y) \ 1)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) != v5 | K(x,(u * (((y * z) / y) \ 1)) \ w) = v5. K(x,(y * T(z,u)) \ ((((u * z) / u) * ((u * z) / u)) * w)) = K(x,(y * (((u * z) / u) \ 1)) \ w). K(x,((y * z) / y) * (((y * z) / y) * ((u * T(z,y)) \ w))) = K(x,(u * (((y * z) / y) \ 1)) \ w). K(x,y * (((z * u) / z) * w)) != v5 | K(x,y * (T(u,z) * w)) = v5. K(x,((y * z) / y) * (T(z,y) * ((u * T(z,y)) \ w))) = K(x,(u * (((y * z) / y) \ 1)) \ w). K(x,T(y,z) * (T(y,z) * ((u * T(y,z)) \ w))) = K(x,(u * (((z * y) / z) \ 1)) \ w). K(x,y * (T(T(y,z),z) * ((u * T(y,z)) \ w))) = K(x,(u * (((z * y) / z) \ 1)) \ w). K(x,y * (y * ((z * T(y,u)) \ w))) = K(x,(z * (((u * y) / u) \ 1)) \ w). K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,u * (u * ((y * T(u,z)) \ w))). K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((z \ T(u,1 / z)) * w)). K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((z \ T(u,z \ 1)) * w)). x != K(y,z \ ((u \ T(w,u \ 1)) * v5)) | K(y,z \ ((w / u) * v5)) = x. K(x,y \ ((z / u) * w)) = K(x,y \ (((u \ 1) \ T(((1 / u) * (1 / u)) * z,1 / u)) * w)). K(x,y \ (((z \ 1) \ T(((1 / z) * (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (((z \ 1) \ T((z \ (1 / z)) * u,1 / z)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (((z \ 1) \ T((z \ 1) * (z \ u),1 / z)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (((z \ 1) \ T((z \ 1) * (z \ u),z \ 1)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (((z \ 1) \ (z \ (u * (z \ 1)))) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ ((z \ ((1 / z) \ (u * (z \ 1)))) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ ((z \ ((z \ 1) \ (u * (1 / z)))) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ (T(T(z,u) / u,u \ 1) * w)) = K(x,y \ ((z / u) * w)). K(x,y \ (T(T(z,u) / u,u * 1) * w)) = K(x,y \ ((z / u) * w)). K(x,y \ (T(T(z,u) / u,u) * w)) = K(x,y \ ((z / u) * w)). K(x,y \ ((z \ T(u,z)) * w)) = K(x,y \ ((u / z) * w)). K(x,y \ ((T(z,u) \ u) * w)) = K(x,y \ ((u / z) * w)). K(x,T(T(K(y,z) * u,w * w),v5)) = K(x,K(y,z) * T(u,w * (w * v5))). K(x,T(K(y,z) * u,w)) = K(x,K(y,z) * T(u,v5 * (v5 * w))). K(x,K(y,z) * T(u,w * (w * v5))) = K(x,T(K(y,z) * u,v5)). K(x,y * T(z,u * (w * u))) != v5 | K(x,y * T(z,w)) = v5. K(x,K(y,z) * T(u,w)) = K(x,T(K(y,z) * u,w)). K(x,T(K(y,z) * u,w)) = K(x,K(y,z) * T(u,w)). K(x,K(y * z,u) * T(w,v5)) = K(x,T(K(y \ z,u) * w,v5)). K(x,T(K(y \ z,u) * w,v5)) = K(x,K(y * z,u) * T(w,v5)). K(x,K(y,z * u) * (z * T(u,w))) = K(x,T(K(u,w) * (z * u),y)). K(x,T(T(y,z \ u) \ w,v5)) = K(x,K(z * u,y) * T(y \ w,v5)). K(x,K(y * z,u) * T(u \ w,v5)) = K(x,T(T(u,y \ z) \ w,v5)). K(x,K(y,z * u) * (z * T(u,w))) != v5 | K(x,T(z * T(u,w),y)) = v5. K(x,K(y,z) * T(u,w)) != v5 | K(x,T(K(y,z) * u,w)) = v5. K(x,T(K(y * z,u) * (u \ w),v5)) = K(x,T(T(u,y \ z) \ w,v5)). K(x,T(T(y,z * u) \ w,v5)) = K(x,T(T(y,z \ u) \ w,v5)). K(x,T(T(y,z \ u) \ w,v5)) = K(x,T(T(y,z * u) \ w,v5)). K(x,L(y,y \ z,u) * (u * (y \ z))) != w | K(x,T(u * T(z,y),y)) = w. ((x * y) * K(z,T(u,y))) / (K(z,u) * y) = (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x. (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = ((x * y) * K(z,T(u,y))) / (K(z,u) * y). x != ((y * z) * K(u,T(w,z))) / (K(u,w) * z) | L(y,z,K(u,T(w,z))) = x. L(x,y,K(z,T(u,y))) = (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x. (((x * y) * K(z,T(u,y))) / (x * (K(z,u) * y))) * x = L(x,y,K(z,T(u,y))). a(x,y,K(z,u)) * x = L(x,y,K(z,T(u,y))). L(x,y,K(z,T(u,y))) = a(x,y,K(z,u)) * x. x != a(y,z,K(u,w)) * y | T(y,a(w,z,u)) = x. T(x,a(y,z,u)) = L(x,z,K(u,T(y,z))). L(x,y,K(z,T(u,y))) = T(x,a(u,y,z)). L(x,y,K(z,u)) = T(x,a(u,y,z)). T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. T(x,a(y,y,z)) = x. L(x,y,K(z,u)) = T(x,a(z,y,u)). x != T(y,a(z,u,w)) | T(y,T(a(z,u,w),v5)) = x. T(x,T(a(y,z,u),w)) = L(x,z,K(u,y)). x != T(y,a(z,u,w)) | y * a(z,u,K(w,y)) = x. x * a(y,z,K(u,x)) = L(x,z,K(u,y)). 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(a(y,z,z),u) | a(y,z,z) = x. a(x,y,y) = L(a(x,y,y),z,K(u,w)). L(a(x,y,y),z,K(u,w)) = a(x,y,y). x * y != T(z,a(u,w,v5)) | x \ L(z,w,K(v5,u)) = y. x \ L(x,y,K(z,u)) = a(u,y,K(z,x)). (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(z,x)). L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). (x / y) * a(z,u,K(w,y)) = x / L(y,u,K(w,z)). 1 / L(x,y,K(z,u)) = T(1 / x,a(u,y,z)). x * L(x \ y,z,K(u,w)) = y * a(w,z,K(u,x * y)). K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. x * (y * a(z,u,K(x,w))) = L(x,u,K(w,z)) * y. K(x,y * L(z,u,K(w,v5))) = K(x,y * z). (x \ ((1 / x) \ y)) / y = y \ (x \ ((1 / x) \ y)). T(x,a(y,y,z) \ (a(y,y,z) \ u)) = T(x,u). x * a(x,y,K(z,u)) = L(x,y,K(u,z)). L(x,y,z) != T(T(L(u,y,z),a(w,v5,v6)),a(w,v5,v6)) | u = x. x = T(L(x,y,K(z,u)),a(z,y,u)). T(L(x,y,K(z,u)),a(z,y,u)) = x. (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). T(x,a(y,z,u)) != w | L(x,z,K(y,u)) = w. L(L(x,y,K(z,u)),y,K(z,u)) = x. L(a(x,y,y),x,K(z,u)) != w | a(K(z,u) * x,y,y) = w. a(K(x,y) * z,u,u) = a(z,u,u). a(x / y,z,z) = a(y \ x,z,z). a(L(T(x,y),z,u),w,w) = a(L(x,z,u),w,w). a(x \ T(y,z),u,u) = a(x \ y,u,u). a((x * y) \ z,u,u) = a((y * x) \ z,u,u). a(R(T(x,y),z,u),w,w) = a(R(x,z,u),w,w). (K(x,y) / z) * a(z,u,u) = R(K(x,y) / z,u,u). K(x,y * ((K(z,u) / w) * a(w,v5,v5))) = K(x,y * R(w \ K(z,u),v5,v5)). (x * (y \ 1)) / a(y \ x,y,y) = x / y. K(x,(y \ T(T(a(z,u,w),v5),v5)) * v6) = K(x,(a(z,u,w) / L(y,u,K(w,z))) * v6). T(x * K(y,x),L(y,z,u)) = L(x,z,K(y,u)). x * a(y,z,K(u,x)) != w | (T(a(y,z,u),v5) * x) / T(a(y,z,u),v5) = w. (T(a(x,y,z),u) * w) / T(a(x,y,z),u) = L(w,y,K(z,x)). x \ L(x,y,K(z,u)) != w | a(u,y,K(z,x)) = w. K(x,L(y,z,K(u,w)) * v5) = K(x,y * v5). K(x,y \ L(z,u,K(w,v5))) = K(x,y \ z). x * a(x,y,K(z,u)) != w | T(x,a(z,y,u) \ x) = w. T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. x * a(y,z,K(x,u)) = L(x,z,K(u,y)). x * a(y,z,K(u,x)) != w | w = L(x,z,K(u,y)). x * a(y,z,K(u,x)) != w | L(x,z,K(u,y)) = w. K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. K(x,((y \ 1) * z) \ (K(u,y) * w)) != v5 | K(x,((((u * y) / u) \ 1) * z) \ w) = v5. a(x \ (y * z),u,u) = a(x \ (T(y,y * z) * z),u,u). a(x \ (T(y,y * z) * z),u,u) = a(x \ (y * z),u,u). T(x,a(y,z,u) \ 1) = L(x,z,K(y,u)). K(x / (y * K(z,u)),w) != v5 | K((x * K(u,z)) / y,w) = v5. x != L(y,z,K(u,w)) | L(y,z,K(w,u)) = x. L(x,y,K(z,u)) = T(x,a(u,y,z) \ 1). T(x,a(y,z,u) \ 1) = L(x,z,K(u,y)). T(x,a(y,z,u) \ 1) != w | L(x,z,K(y,u)) = w. a(x \ y,x,x) \ (y * (x \ 1)) = y / x. K(x,T(K(y,z) * (u * w),u * K(y,z))) = K(x,w * (K(y,z) * u)). x != T(y,a(z,u,w)) | L(y,u,K(w,z)) = x. L(1 / x,y,K(z,u)) = 1 / L(x,y,K(z,u)). T(x,y) = T(x,a(z,z,u) * (a(z,z,u) * y)). T(x,a(y,y,z) * (a(y,y,z) * u)) = T(x,u). a(L(T(x,y),y,z),u,u) = a((y * z) \ (z * (x * y)),u,u). a((x * y) \ (y * (z * x)),u,u) = a(L(T(z,x),x,y),u,u). T(x,L(y,z,u)) = L(T(x,y),z,K(y,u)). L(T(x,y),z,K(y,u)) = T(x,L(y,z,u)). T(x * K(y,x),L(y,y \ z,u)) = L(x,z / y,K(y,u)). T(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = T(x,y). K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). T(x,L(K(y,z) * ((u / w) \ 1),K(y,z),w)) != v5 | T(x,w * (u \ K(y,z))) = v5. T(x,y * (z \ K(u,w))) = T(x,K(u,w) * ((z / y) \ 1)). T(x,K(y,z) * ((u / w) \ 1)) = T(x,w * (u \ K(y,z))). T(x,a(y,y,z) * (a(y,y,z) * ((z \ L(z,y,y)) * u))) != w | T(x,(L(z,y,y) / z) \ u) = w. T(x,(L(y,z,z) / y) \ u) = T(x,(y \ L(y,z,z)) * u). x / a(y,z,u) = L(a(y,z,u) \ x,z,K(u,y)). L(a(x,y,z) \ u,y,K(z,x)) = u / a(x,y,z). (x * y) / L(y,z,K(u,w)) = x * a(y,z,K(u,w)). T(L(x,y,K(z,u)),a(z,y,u) \ 1) = T(x,a(z,y,u) \ (a(z,y,u) \ 1)). T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(y,u)) = w. K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. K(x,L(y,z,L(u,w,K(v5,v6)))) != v7 | K(x,L(y,z,u)) = v7. K(x,L(y,z,u) \ T(w,y)) != v5 | K(x,w / L(y,z,u)) = v5. K(x,K(y,z)) * K(x,y \ T(z,u)) = K(x,T(z,L(u,w,v5)) / y). K(x,T(y,L(z,u,w)) / v5) = K(x,K(v5,y)) * K(x,v5 \ T(y,z)). (1 / x) * a(y,z,K(u,x)) != w | L(x,z,y) \ T((x \ 1) * L(x,z,y),u) = w. L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = 1 / L(x,y,K(u,z)). K(x,(y / L(z,u,K(w,v5))) * v6) = K(x,(y / z) * v6). x * y != L(x,z,u) * (x * w) | L(x,z,u) * w = y. L(x,y,K(z,u)) * w = (x * w) * a(u,y,K(x,z)). (x * y) * a(z,u,K(x,w)) = L(x,u,K(w,z)) * y. (x \ (y \ ((1 / y) \ x))) * x = y \ ((1 / y) \ x). (x \ (y \ ((1 / y) \ x))) * K(a(y,y,y \ (y \ x)),z) = T((y \ ((1 / y) \ x)) / x,T(z,x)). a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. (x \ ((1 / x) \ y)) \ (K((y \ (x \ ((1 / x) \ y))) \ 1,z) * y) = T(((y \ (x \ ((1 / x) \ y))) * y) \ y,z). K(x,L(y,z,K(u,w)) * v5) != v6 | K(x,y * v5) = v6. K(x,L(y \ z,u,y * u)) = K(x,u \ ((y / u) \ z)). K(x,y \ ((z / y) \ u)) != w | K(x,L(z \ u,y,z * y)) = w. (K(x,y) * (z * (z \ u))) / (u * a(y,z,K(x,z * u))) = R(K(x,y),z,L(z \ u,z,K(x,y))). a(x,y,z) * (u / a(x,y,z)) = u * a(x,y,K(z,a(x,y,z) * u)). x * a(y,z,K(u,a(y,z,u) * x)) = a(y,z,u) * (x / a(y,z,u)). a(x \ (T(y,y * z) * z),u,w) != v5 | a(x \ (z * y),u,w) = v5. a(x \ (y * z),u,u) = a(x \ (z * y),u,u). a(R(T(x,y * z),y,z),u,u) = a((y * z) \ (z * (x * y)),u,u). a((x * y) \ (y * (z * x)),u,u) = a(R(T(z,x * y),x,y),u,u). T(x,L(y,y \ z,u)) != w | T(x,L(y,z,u)) = w. T(x * K(y,x),L(y,z,u)) = L(x,z / y,K(y,u)). L(x,y,K(z,u)) = L(x,y / z,K(z,u)). L(x,y / z,K(z,u)) = L(x,y,K(z,u)). x != L(y,K(z,u),K(w,v5)) | y = x. x = L(x,K(y,z) / u,K(u,w)). L(x,K(y,z) / u,K(u,w)) = x. L(x,K(y,z) / u,w) != v5 | L(x,K(y,z) * u,w) = v5. L(x,K(y,z) * u,K(u,w)) = x. L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). x * y != L(z,T(u,w),K(v5,v6)) | x \ L(z,u,K(v5,v6)) = y. x \ L(x,y,K(z,u)) = a(u,T(y,w),K(z,x)). a(x,T(y,z),K(u,w)) = w \ L(w,y,K(u,x)). x != y \ L(y,z,K(u,w)) | a(w,z,K(u,y)) = x. a(x,y,K(z,u)) = a(x,T(y,w),K(z,u)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). a(x,T(y,z),K(u,w)) != v5 | a(x,y,K(u,w)) = v5. a(T(x,y) \ z,T((x \ z) \ z,y),K(u,w)) != v5 | a(w,z,K(T(x,y) \ z,u)) = v5. a(x,y,K(T(z,u) \ y,w)) = a(T(z,u) \ y,(z \ y) \ y,K(w,x)). a(T(x,y) \ z,(x \ z) \ z,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). K(x,L(y,z * K(u,z),w)) = K(x,y) * a(x,z,K(w,y)). T(x,K(y,z) / (u / w)) = T(x,w * (u \ K(y,z))). T(x,(y / z) \ K(u,w)) = T(x,z * (y \ K(u,w))). T(x,(y \ L(y,z,z)) \ u) = T(x,(y \ L(y,z,z)) * u). K(x,L(y,z,u)) = K(x,L(y,z * K(w,z),u)). K(x,L(y,z * K(u,z),w)) = K(x,L(y,z,w)). 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(T(y,z) \ u,T(z,y),z * y)) != w | K(x,z \ ((z \ y) \ u)) = w. K(x,y \ ((y \ z) \ u)) = K(x,L(T(z,y) \ u,y,y * z)). K(x,L(T(y,z) \ u,z,z * y)) = K(x,z \ ((z \ y) \ u)). K(x,L((y / R(z,u,z)) \ T(w,z),T(w,z),L(z,u,z))) != v5 | K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))) = v5. K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))) = K(x,L((y / R(z,u,z)) \ T(w,z),w,L(z,u,z))). K(x,L((y / R(z,u,z)) \ T(w,z),w,L(z,u,z))) = K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))). K(x,L(y,T(z * u,u \ 1),u)) != w | K(x,L(y,R(z,u,u),u \ 1)) = w. K(x,L(y,R(z,u,u),u \ 1)) = K(x,L(y,z * u,u)). x != K(y,L(z,u * w,w)) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,R(z,u,u),u \ 1)). K(x,L(y,R(z,u,u),u \ 1)) = K(x,L(y,z,u)). K(x,L((y * z) / u,R(y,z,z),z \ 1)) != w | K(x,R(y,z,z) / (u * (z \ 1))) = w. K(x,R(y,z,z) / (u * (z \ 1))) = K(x,L((y * z) / u,y,z)). K(x,L((y * z) / u,y,z)) = K(x,R(y,z,z) / (u * (z \ 1))). x != T(y,(z \ L(z,u,u)) * w) | T(y,a(z,u,u) * w) = x. T(x,a(y,z,z) * u) = T(x,(y \ L(y,z,z)) \ u). T(x,(y \ L(y,z,z)) \ u) = T(x,a(y,z,z) * u). T(x,(y \ L(y,z,z)) \ u) != w | T(x,u * a(z,z,y)) = w. T(x,y * a(z,z,u)) = T(x,a(u,z,z) * y). T(x,a(y,z,z) * u) = T(x,u * a(z,z,y)). K(a(x,y,y) * z,u) = u / T(u,z * a(y,y,x)). x / T(x,y * a(z,z,u)) = K(a(u,z,z) * y,x). K(x * a(y,y,z),u) = K(a(z,y,y) * x,u). K(a(x,y,y) * z,u) = K(z * a(y,y,x),u). a(x,y,y) * (z * K(z * a(y,y,x),u)) = T(a(x,y,y) * z,u). T(x * K(x * a(y,z,z),u),a(y,z,z)) = T(x,a(y,z,z)) * K(x * a(z,z,y),u). K(L(x,y,K(z,u)),T(a(u,y,z),w) \ v5) = K(T(a(u,y,z),w) \ (T(a(u,y,z),w) * x),v5 / T(a(u,y,z),w)). K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(L(w,y,K(z,x)),T(a(x,y,z),u) \ v5). K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). K((x / T(y,z)) / u,w) = K((x / y) * (u \ K(z,y)),w). K((x / y) * (z \ K(u,y)),w) = K((x / T(y,u)) / z,w). K(K(x,y) * ((z / x) / u),w) = K((z / T(x,y)) / u,w). K(K(x,y) * ((z / x) / u),w) = K((z / T(x,x * y)) / u,w). K((x / T(y,y * z)) / u,w) = K(K(y,z) * ((x / y) / u),w). x != a(L(T(y,z),u,w),v5,v5) | a(L(y,u,w),v5,v5) = x. a(L(x,y,z),u,u) = a((y * z) \ (z * (x * y)),u,u). a((x * y) \ (y * (z * x)),u,u) = a(L(z,x,y),u,u). K(x,L(T(y,z) * u,z,z * (y \ 1))) = K(x,z \ ((z \ (y \ 1)) \ u)). K(x,L(T((y * z) / y,y) \ u,y,T(y,z) * z)) = K(x,y \ ((y \ ((y * z) / y)) \ u)). x != K(y,R(z,u,u) / w) | K(y,L(z,u,u) / w) = x. K(x,L(y,z,z) / (u * (z \ 1))) = K(x,L((y * z) / u,y,z)). K(x,L((y * z) / u,y,z)) = K(x,L(y,z,z) / (u * (z \ 1))). K((x / T(y,y * z)) / u,w) != v5 | K((x / ((y \ z) \ z)) / u,w) = v5. K((x / ((y \ z) \ z)) / u,w) = K(K(y,z) * ((x / y) / u),w). x != K(y,L(z,u,u) / (w * (u \ 1))) | K(y,(u * (u * z)) / (w * u)) = x. K(x,(y * (y * z)) / (u * y)) = K(x,L((z * y) / u,z,y)). K(x,L((y * z) / u,y,z)) = K(x,(z * (z * y)) / (u * z)). x != K(y,(z * (z * u)) / w) | K(y,u / (z \ (z \ w))) = x. K(x,y / (z \ (z \ (u * z)))) = K(x,L((y * z) / u,y,z)). K(x,L((y * z) / u,y,z)) = K(x,y / (z \ (z \ (u * z)))). K(x,L((y * z) / u,y,z)) = K(x,y / (z \ T(u,z))). K(x,y / (z / u)) = K(x,L((y * u) / z,y,u)). K(x,L((y * z) / u,y,z)) = K(x,y / (u / z)). K(x,L((y * z) / u,y,z)) != w | K(x,y / (u / z)) = w. K(x,L((y * T(z,u)) / w,y,z)) = K(x,y / (w / T(z,u))). (x * K(y,z / (u / w))) \ x = K(L((z * w) / u,z,w),y). K(L((x * y) / z,x,y),u) = (w * K(u,x / (z / y))) \ w. K(x,L((y * T(z,z \ y)) / u,z * (y / z),z)) != w | K(x,(z * (y / z)) / (u / z)) = w. K(x,L((y * z) * u,y,z)) != w | K(x,y / ((u \ 1) / z)) = w. K(x,L((y * T(z,u)) / w,y,z)) != v5 | K(x,y / (w / T(z,u))) = v5. K(x,L(T(y * z,K(z,u)) / w,z,y)) = K(x,z / (w / T(y,T(z,u)))). K(x / (y / z),u) = K(L((x * z) / y,x,z),u). K(L((x * y) / z,x,y),u) = K(x / (z / y),u). K((x * y) / z,L(u,x,y)) = K(x / (z / y),u). K((x * (y \ z)) / (z / (z / y)),L(u,x,y \ z)) = K(x / (y / (z / y)),u). x != K(K(y,z) * ((u / y) / w),v5) | K((u / T(y,z)) / w,v5) = x. K((x / T(y,z)) / u,w) = K((x / ((y \ z) \ z)) / u,w). K((x / ((y \ z) \ z)) / u,w) = K((x / T(y,z)) / u,w). x != K(y,K(z,u)) * K(y,z \ T(u,w)) | K(y,T(u,w) / z) = x. K(x,T(y,z) / u) = K(x,T(y,L(z,w,v5)) / u). K(x,T(y,L(z,u,w)) / v5) = K(x,T(y,z) / v5). K(x,T(y,L(z,u,w)) / v5) != v6 | K(x,T(y,z) / v5) = v6. K(x,T(y,z \ (u * w)) / v5) = K(x,T(y,(u \ z) \ w) / v5). K(x,T(y,(z \ u) \ w) / v5) = K(x,T(y,u \ (z * w)) / v5). x != K(y,T(z,u \ w) / v5) | K(y,T(z,u * w) / v5) = x. K(x,T(y,z * (u * w)) / v5) = K(x,T(y,(u \ z) \ w) / v5). K(x,T(y,(z \ u) \ w) / v5) = K(x,T(y,u * (z * w)) / v5). K(x,T(y,(z \ u) * w) / v5) = K(x,T(y,u * (z * w)) / v5). K(x,T(y,z * (u * w)) / ((u \ z) * w)) != v5 | K(x,((u \ z) * w) \ y) = v5. x != 1 / L(y,z,K(u,w)) | L(1 / y,z,K(u,w)) = x. L(1 / x,y,K(z,u)) = L(x,y,u) \ T((x \ 1) * L(x,y,u),z). L(x,y,z) \ T((x \ 1) * L(x,y,z),u) = L(1 / x,y,K(u,z)). x != a(R(T(y,z),u,w),v5,v5) | a(R(y,u,w),v5,v5) = x. a(R(x,y,z),u,u) = a((y * z) \ (z * (x * y)),u,u). a((x * y) \ (y * (z * x)),u,u) = a(R(z,x,y),u,u). a((x * y) \ (y * (z * x)),u,u) != w | a(L(z,x,y),u,u) = w. 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(R(T(x,y * z),y,z),u,u) != w | R(a(x,u,u),y,z) = w. R(a(x,y,y),z,u) = a(L(T(x,z * u),z,u),y,y). a(L(T(x,y * z),y,z),u,u) = R(a(x,u,u),y,z). 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) = R(a(x,u,u),y,z). a(L(x,y,z),u,u) * (y * z) = (a(x,u,u) * y) * z. a(L(x,y,z),u,u) * (y * z) != w | z * (T(y,z) * a(x,u,u)) = w. x * (T(y,x) * a(z,u,u)) = (a(z,u,u) * y) * x. x * (T(y,x) * a(z,u,u)) = (y * a(z,u,u)) * x. (((a(x,y,y) * z) * u) / u) \ (u * (a(x,y,y) * z)) = T(u,z). ((x * (y * a(z,u,u))) / y) \ ((y * a(z,u,u)) * x) = T(y,x). (a(x,y,y) * z) \ (u * (a(x,y,y) * z)) = T(u,z). T(x,a(y,z,z) * u) = T(x,u). T(x,a(y,z,z) * u) != w | T(x,u * a(z,z,y)) = w. T(x,y * a(z,z,u)) = T(x,y). x != T(y,z) | T(y,z * a(u,u,w)) = x. T(x,y * a(z,z,u)) = T(x,y * a(w,w,v5)). T(x,a(y,y,z) * u) = T(x,u * a(w,w,v5)). T(x,y * a(z,z,u)) != w | T(x,y) = w. T(x,a(y,z,z) * u) != w | T(x,u) = w. x != T(y,z * a(u,u,w)) | T(y,a(w,u,u) * z) = x. T(x,a(y,z,z) * u) = T(x,a(w,w,v5) * u). T(x,y * a(z,u,u)) = T(x,a(w,w,v5) * y). T(x,a(y,y,z) * u) = T(x,u * a(w,v5,v5)). T(x,a(y,z,z) * u) = T(x,(w \ (v5 \ ((1 / v5) \ w))) * u). T(x,a(y,z,z) * u) != w | T(x,u * a(v5,v5,v6)) = w. T(x,a(y,y,z) * u) != w | T(x,a(v5,v6,v6) * u) = w. T(x,a(y,z,z) * u) = T(x,u * a(w,v5,v5)). x != T(y,z * a(u \ (u \ w),u,u)) | T(y,z * ((u \ ((1 / u) \ w)) \ w)) = x. T(x,y * ((z \ ((1 / z) \ u)) \ u)) = T(x,a(w,v5,v5) * y). T(x,a(y,z,z) * u) = T(x,u * ((w \ ((1 / w) \ v5)) \ v5)). T(x,a(y,y,z) * u) != w | T(x,u * a(v5,v5,v6)) = w. T(x,(y \ (z \ ((1 / z) \ y))) * u) != w | T(x,a(v5,v6,v6) * u) = w. T(x,a(y,z,z) * u) != w | T(x,a(v5,v5,v6) * u) = w. T(x,a(y,y,z) * u) = T(x,(w \ (v5 \ ((1 / v5) \ w))) * u). x * K(x * a(y,z,z),u) = T(x,u). L(1 / x,y,K(z,u)) \ (1 / x) = K(z,(x \ 1) * L(x,y,u)). L(x,y,K(z,u)) \ x != w | a(u,y,K(z,x)) = w. a(x,y,K(z,1 / u)) = K(z,(u \ 1) * L(u,y,x)). K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,1 / y)). a(x,y,K(z,u * 1)) = K(z,(u \ 1) * L(u,y,x)). K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,y * 1)). K(x,(y \ 1) * L(y,z,u)) = a(u,z,K(x,y)). K(x,y \ L(y,z,u)) = a(u,z,K(x,y)). K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K(x,(y \ z) \ u)). K(x,K(y,z) * (u * w)) = K(T(x,u * K(y,z)),w * (K(y,z) * u)). K(T(x,y * K(z,u)),w * (K(z,u) * y)) = K(x,K(z,u) * (y * w)). x * a(a(y,z,u) * x,z,K(u,y)) = a(y,z,u) * (x / a(y,z,u)). a(x,(y \ z) \ z,u) != w | a(x,T(y,z),u) = w. a(T(x,y) \ z,T(x,z),K(u,w)) = a(w,z,K(T(x,y) \ z,u)). a(T(x,y) \ z,x,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). a(x \ y,z,K(u,w)) != v5 | a(x * y,z,K(u,w)) = v5. a(T(x,y) * z,x,K(u,w)) = a(w,z,K(T(x,y) \ z,u)). K(x,T(y * (K(z,u) * w),w * K(z,u))) = K(x,K(z,u) * (w * y)). x * a(a(y,z,u) * x,z,K(u,y)) != w | (a(y,z,u) \ x) * a(y,z,u) = w. (a(x,y,z) \ u) * a(x,y,z) = a(x,y,z) * (u / a(x,y,z)). K(K(x,K(y,z) * (u * w)) * v5,v6) = K(v5 * K(w * (K(y,z) * u),x),v6). K(x,L(T(y,z) * u,z,z * y)) = K(x,z \ ((z \ (y \ 1)) \ u)). K(x,L((y * z) / u,z,y)) = K(x,z / (u / T(y,T(z,w)))). a(x,x \ y,K(z,(x \ y) * u)) = K(z,((x \ y) \ u) \ (y \ (x * u))). K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K(x,(y \ z) * u)). x != a(y,z,K(u,(y \ w) * v5)) | a(u,z,K(w * v5,y)) = x. a(x,y \ z,K(z * u,y)) = K(x,((y \ z) \ u) \ (z \ (y * u))). K(x,((y \ z) \ u) \ (z \ (y * u))) = a(x,y \ z,K(z * u,y)). a(x * y,x,K(z,u)) = K(u,((z \ x) \ y) \ (x \ (z * y))). K(x,((y \ z) \ u) \ (z \ (y * u))) = a(z * u,z,K(y,x)). K(x,y * R(K(z,u) / w,v5,v5)) = K(x,y * R(w \ K(z,u),v5,v5)). K(x,y * L(K(z,u) / w,v5,v5)) = K(x,y * R(w \ K(z,u),v5,v5)). K(x,y * R(z \ K(u,w),v5,v5)) = K(x,y * L(K(u,w) / z,v5,v5)). K(x,y * L(z \ K(u,w),v5,v5)) = K(x,y * L(K(u,w) / z,v5,v5)). K(x,y * L(K(z,u) / w,v5,v5)) = K(x,y * L(w \ K(z,u),v5,v5)). L(L(x,y,K(z,u)),y,K(z,u)) = T(x,a(z,y,u) \ (a(z,y,u) \ 1)). T(x,a(y,z,u) \ (a(y,z,u) \ 1)) = L(L(x,z,K(y,u)),z,K(y,u)). x != L(L(y,z,K(u,w)),z,K(u,w)) | y = x. x = T(x,a(y,z,u) \ (a(y,z,u) \ 1)). T(x,a(y,z,u) \ (a(y,z,u) \ 1)) = x. T(x,a(y,z,u) \ (a(y,z,u) \ w)) = T(x,w). (((a(x,y,z) \ 1) * (a(x,y,z) \ 1)) \ u) * ((a(x,y,z) \ 1) * w) = u * ((1 / (a(x,y,z) \ 1)) * w). T(x,y \ (y \ z)) != T(T(u,y \ w),z) | T(u,y * w) = x. T(x,a(y,z,u) * w) = T(x,a(y,z,u) \ w). T(x,a(y,z,u) \ w) = T(x,a(y,z,u) * w). x != T(y,a(z,u,w) * v5) | T(y,v5 * a(z,u,w)) = x. T(x,y * a(z,u,w)) = T(x,a(z,u,w) \ y). T(x,a(y,z,u) \ w) = T(x,w * a(y,z,u)). T(x,y * a(z,u,w)) / x = K(x,y / a(z,u,w)). T(x,y * a(z,u,w)) \ x = K(y / a(z,u,w),x). K(x,y * a(z,u,w)) = K(x,y / a(z,u,w)). K(x,y / a(z,u,w)) = K(x,y * a(z,u,w)). K(x,a(y,z,u) \ w) = K(x,w * a(y,z,u)). K(x,a(y,z,z) \ (y \ u)) != w | K(x,L(L(y,z,z) \ u,a(y,z,z),y)) = w. K(x,L(L(y,z,z) \ u,a(y,z,z),y)) = K(x,(y \ u) * a(y,z,z)). K(x,a(y,z,u) * w) = K(x,a(y,z,u) \ w). K(x,a(y,z,u) \ w) = K(x,a(y,z,u) * w). K(L(x,y,y) * (x \ z),u) = (w \ K(u,a(y,y,x) * z)) \ (w \ 1). K(x * a(y,z,u),w) = K(x / a(y,z,u),w). K(x / a(y,z,u),w) = K(x * a(y,z,u),w). K(a(x,y,z) \ u,w) = K(u * a(x,y,z),w). K(x,L(y,z,z) \ u) = K(x,(y \ u) * a(y,z,z)). K(x,(y \ z) * a(y,u,u)) = K(x,L(y,u,u) \ z). x != (y \ K(z,u)) \ (y \ 1) | K(u,z) = x. K(a(x,x,y) * z,u) = K(L(y,x,x) * (y \ z),u). K(L(x,y,y) * (x \ z),u) = K(a(y,y,x) * z,u). K(a(x,x,y) \ z,u) = K(a(x,x,y) * z,u). K(L(x,y,y) * (x \ z),u) != w | K((z / x) * L(x,y,y),u) = w. K((x / y) * L(y,z,z),u) = K(a(z,z,y) * x,u). K(x * L(y,z,z),u) = K(a(z,z,y) * (x * y),u). K(a(x,x,y) * (z * y),u) = K(z * L(y,x,x),u). x / T(x,y * L(z,u,u)) = K(a(u,u,z) * (y * z),x). K(a(x,x,y) * (z * y),u) = u / T(u,z * L(y,x,x)). T(x,a(y,y,z) * (u * z)) = T(x,u * L(z,y,y)). K(K(x,K(y,z) * u) * w,v5) != v6 | K(K(u,x) * w,v5) = v6. K(K(x * y,z) * u,w) = K(u * K(y * (K(v5,v6) * x),z),w). K(x * K(y * (K(z,u) * w),v5),v6) = K(K(w * y,v5) * x,v6). K(x * K((T(y,z) * u) * (K(w,v5) * v6),v7),v8) != v9 | K(K((y \ v6) * u,v7) * x,v8) = v9. K(K((x \ y) * z,u) * w,v5) = K(K(y * (T(x,v6) * z),u) * w,v5). K(K(x * (T(y,z) * u),w) * v5,v6) = K(K((y \ x) * u,w) * v5,v6). K(K(x * (T(y,z) * u),w) * v5,v6) != v7 | K(K(x * (y * u),w) * v5,v6) = v7. K(K(x * (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). K(K((x \ y) * z,u) * w,v5) != v6 | K(w * K(u,(y / T(x,v7)) * z),v5) = v6. K(x * K(y,(z / T(u,w)) * v5),v6) = K(K(z * (u * v5),y) * x,v6). K(x * K(y * x,(z / T(u,w)) * v5),y) != v6 | K(x,T(y,K(w,u) * ((z / u) * v5))) = v6. K(x,T(y,K(z,u) * ((w / u) * v5))) = K(K(w * (u * v5),y * x) * x,y). K(K(x * (y * z),u * w) * w,u) = K(w,T(u,K(v5,y) * ((x / y) * z))). K(x * K(y * (z * u),x * w),w) = K(x,T(w,K(v5,z) * ((y / z) * u))). K(x,T(y,z * (u * w))) = K(x,T(y,K(v5,u) * ((z / u) * w))). K(x,T(y,K(z,u) * ((w / u) * v5))) = K(x,T(y,w * (u * v5))). K(x,T(y,(z \ u) * w)) = K(x,T(y,u * (z * w))). K(x,T(y,((z * u) \ w) * (1 / u))) = K(x,T(y,w * ((z * (u \ 1)) * u))). K(x,T(y,((z * u) \ w) / u)) = K(x,T(y,w * ((z * (u \ 1)) * u))). K(x,T(y,z * ((u * (w \ 1)) * w))) = K(x,T(y,((u * w) \ z) / w)). x != K(y,T(z,u / w)) | K(y,T(z,w * u)) = x. K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * ((u * (z \ 1)) * z))). K(x,T(y,z * ((u * (w \ 1)) * w))) = K(x,T(y,w * ((u * w) \ z))). K(x,T(y,z * ((u * w) * (1 / w)))) = K(x,T(y,w * ((u * w) \ z))). K(x,T(y,z * ((u * w) * (w \ 1)))) = K(x,T(y,w * ((u * w) \ z))). K(x,T(y,z * R(u,w,w))) = K(x,T(y,w * ((u * w) \ z))). K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * R(u,z,z))). x != K(y,T(z,u * R(w,v5,v5))) | K(y,T(z,u * L(w,v5,v5))) = x. K(x,T(y,z * L(u,w,w))) = K(x,T(y,w * ((u * w) \ z))). K(x,T(y,z * ((u * z) \ w))) = K(x,T(y,w * L(u,z,z))). K(x,T(T((y * z) * (u / (y * z)),y * z),z * ((y * z) \ u))) != w | K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))) = w. K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(T((u * y) * (z / (u * y)),u * y),z * L(u,y,y))). K(x,T(T((y * z) * (u / (y * z)),y * z),u * L(y,z,z))) = K(x,(z * (u / T(y * z,u))) * R(y,z,u / T(y * z,u))). K(x / (y / (y / z)),u) != w | K(x / T(z,y),u) = w. K((x * (y \ z)) / T(y,z),L(u,x,y \ z)) = K(x / (y / (z / y)),u). K((x * y) / z,L(u,x,y)) != w | K(x / (z / y),u) = w. K(x / (T(y,z) / (y \ z)),u) = K(x / (y / (z / y)),u). x != K(y / (z / (u / z)),w) | K(y / ((z \ u) \ z),w) = x. K(x / ((y \ z) \ y),u) = K(x / (T(y,z) / (y \ z)),u). K(x / (T(y,z) / (y \ z)),u) = K(x / ((y \ z) \ y),u). x != K(y,(z / L(u,w,K(v5,v6))) * v7) | K(y,(z / u) * v7) = x. K(x,(a(y,z,u) / w) * v5) = K(x,(w \ T(T(a(y,z,u),v6),v6)) * v5). K(x,(y \ T(T(a(z,u,w),v5),v5)) * v6) = K(x,(a(z,u,w) / y) * v6). K(x,(y \ a(z,u,w)) * v5) = K(x,(a(z,u,w) / y) * v5). K(x,(a(y,z,u) / w) * v5) = K(x,(w \ a(y,z,u)) * v5). K(x,L(y \ 1,z,y) * u) = K(x,(y \ a(w,v5,K(v6,v7))) * u). x != K(y,(z \ a(u,w,K(v5,v6))) * v7) | K(y,z \ v7) = x. K(x,y \ z) = K(x,L(y \ 1,u,y) * z). K(x,L(y \ 1,z,y) * u) = K(x,y \ u). K(x,((((y * z) / y) \ 1) * u) \ w) = K(x,K(z,y) * (((z \ 1) * u) \ w)). x != K(y,K(z,u) * (((z \ w) * v5) \ v6)) | K(y,((T(z,u) \ w) * v5) \ v6) = x. K(x,((T(y,z) \ 1) * u) \ w) = K(x,((((z * y) / z) \ 1) * u) \ w). K(x,((((y * z) / y) \ 1) * u) \ w) = K(x,((T(z,y) \ 1) * u) \ w). K(x,((((y * z) / y) \ 1) * T(u,z)) \ w) != v5 | K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = v5. K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,((T(z,y) \ 1) * T(u,z)) \ w). T(x * K(x * a(y,z,z),u),a(y,z,z)) = x * K(x * a(z,z,y),u). x * K(x * a(y,y,z),u) = x * K(x * a(z,y,y),u). x * K(x * a(y,z,z),u) = x * K(x * a(z,z,y),u). x * K(x * a(y,z,z),u) != w | T(x,u) = w. T(x,y) = x * K(x * a(z,z,u),y). x * K(x * a(y,y,z),u) = T(x,u). x * y != T(x,z) | K(x * a(u,u,w),z) = y. K(x * a(y,y,z),u) = K(x * a(w,w,v5),u). a(x,y,y) * T(z,u) = T(a(x,y,y) * z,u). T(a(x,y,y) * z,u) = a(x,y,y) * T(z,u). (x * a(y,z,z)) / T(a(y,z,z) * x,u) = K(u,x). K(x,a(y,z,z)) * K(u,a(y,z,z) * x) = K(u,x). a(x,y,K(y,z)) * K(u,a(z,y,y) * x) = K(u,x). 1 * K(x,a(y,z,z) * u) = K(x,u). K(x,a(y,z,z) * u) = K(x,u). K(x,a(y,z,z) * (u * y)) != w | K(x,u * L(y,z,z)) = w. K(x,y * L(z,u,u)) = K(x,y * z). K(x,y * a(z,u,u)) = K(x,y). K(x,L(y \ z,u,T(u,y) * y)) = K(x,u \ ((u \ ((u * y) / u)) \ z)). K(x,L(y \ z,u,y * u)) = K(x,u \ ((u \ ((u * y) / u)) \ z)). K(x,L(y \ z,u,y * u)) != w | K(x,u \ ((y / u) \ z)) = w. K(x,y \ ((z / y) \ u)) = K(x,y \ ((y \ ((y * z) / y)) \ u)). K(x,y \ ((y \ ((y * z) / y)) \ u)) = K(x,y \ ((z / y) \ u)). (x \ (y \ ((1 / y) \ x))) * 1 = T((y \ ((1 / y) \ x)) / x,T(z,x)). T((x \ ((1 / x) \ y)) / y,T(z,y)) = (y \ (x \ ((1 / x) \ y))) * 1. x \ (y \ ((1 / y) \ x)) = T((y \ ((1 / y) \ x)) / x,T(z,x)). T((x \ ((1 / x) \ y)) / y,T(z,y)) = y \ (x \ ((1 / x) \ y)). T(x \ (y \ ((1 / y) \ x)),T(z,x)) = x \ (y \ ((1 / y) \ x)). T(x \ (y \ ((1 / y) \ x)),z) = x \ (y \ ((1 / y) \ x)). x / (y \ (z \ ((1 / z) \ y))) = (y \ (z \ ((1 / z) \ y))) \ x. T(x,(y \ (z \ ((1 / z) \ y))) \ u) = T(x,u * ((z \ ((1 / z) \ y)) \ y)). x != T(y,z * ((u \ ((1 / u) \ w)) \ w)) | T(y,a(v5,v6,v6) * z) = x. T(x,a(y,z,z) * u) = T(x,(w \ (v5 \ ((1 / v5) \ w))) \ u). T(x,(y \ (z \ ((1 / z) \ y))) \ u) = T(x,a(w,v5,v5) * u). T(x,(y \ (z \ ((1 / z) \ y))) \ (((z \ ((1 / z) \ y)) \ y) \ u)) != w | T(x,u) = w. T(x,y) = T(x,a(z,u,u) * (((w \ ((1 / w) \ v5)) \ v5) \ y)). T(x,a(y,z,z) * (((u \ ((1 / u) \ w)) \ w) \ v5)) = T(x,v5). T(x,((y \ ((1 / y) \ z)) \ z) \ u) = T(x,u). T(x,y \ 1) = T(x,((z \ ((1 / z) \ u)) \ u) / y). T(x,((y \ ((1 / y) \ z)) \ z) / u) = T(x,u \ 1). (K(x,y) * z) / (z * a(y,u,K(x,u * z))) = R(K(x,y),u,L(u \ z,u,K(x,y))). R(K(x,y),z,L(z \ u,z,K(x,y))) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). K(x,L(y,z,L(z \ u,z,K(x,y)))) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). K(x,L(y,z,z \ u)) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). (K(x,y) * z) / (z * a(y,u,K(x,u * z))) = K(x,L(y,u,u \ z)). K(x,L(y,z,z * u)) = (K(x,y) * u) / (u * a(y,z,K(x,z * u))). (K(x,y) * z) / (z * a(y,u,K(x,u * z))) = K(x,L(y,u,u * z)). K(x,L((y / R(z,u,z)) \ T(w,z),w,z)) = K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))). K(x,(y * (z / R(y,u,y))) \ (w * y)) = K(x,T(z,R(y,u,y)) \ (w * R(y,u,y))). K(x,T(y,R(z,u,z)) \ (w * R(z,u,z))) = K(x,(z * (y / R(z,u,z))) \ (w * z)). K(x,T(y,z) \ (u * R(z,w,z))) = K(x,(z * (y / R(z,w,z))) \ (u * z)). K(x,(y * (z / R(y,u,y))) \ (w * y)) = K(x,T(z,y) \ (w * R(y,u,y))). x != K(y,z \ (u * R(w,v5,w))) | K(y,z \ (u * w)) = x. K(x,T(y,z) \ (u * z)) = K(x,(z * (y / R(z,w,z))) \ (u * z)). K(x,(y * (z / R(y,u,y))) \ (w * y)) = K(x,T(z,y) \ (w * y)). x != K(y,((T(z,u) \ 1) * T(w,z)) \ v5) | K(y,(w * (T(z,u) \ 1)) \ v5) = x. K(x,(y * (T(z,u) \ 1)) \ w) = K(x,(((((u * z) / u) * ((u * z) / u)) \ y) * T(z,u)) \ w). K(x,(((((y * z) / y) * ((y * z) / y)) \ u) * T(z,y)) \ w) = K(x,(u * (T(z,y) \ 1)) \ w). K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,(y * (T(u,z) \ 1)) \ w). (((a(x,y,z) \ 1) * (a(x,y,z) \ 1)) \ u) * ((a(x,y,z) \ 1) * w) = u * (a(x,y,z) * w). (x \ ((1 / x) \ y)) \ (K((x \ ((1 / x) \ y)) \ y,z) * y) = T(((y \ (x \ ((1 / x) \ y))) * y) \ y,z). (x \ ((1 / x) \ y)) \ (K(y \ L(y,x,x),z) * y) = T(((y \ (x \ ((1 / x) \ y))) * y) \ y,z). (x \ ((1 / x) \ y)) \ (1 * y) = T(((y \ (x \ ((1 / x) \ y))) * y) \ y,z). T(((x \ (y \ ((1 / y) \ x))) * x) \ x,z) = (y \ ((1 / y) \ x)) \ (1 * x). (x \ ((1 / x) \ y)) \ y = T(((y \ (x \ ((1 / x) \ y))) * y) \ y,z). T(((x \ (y \ ((1 / y) \ x))) * x) \ x,z) = (y \ ((1 / y) \ x)) \ x. T((x \ ((1 / x) \ y)) \ y,z) = (x \ ((1 / x) \ y)) \ y. x != K(y,T(a(z,u,w),v5) \ v6) | K(y,a(z,u,w) \ v6) = x. K(L(x,y,K(z,u)),a(u,y,z) \ w) = K(T(a(u,y,z),v5) \ (T(a(u,y,z),v5) * x),w / T(a(u,y,z),v5)). K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(L(w,y,K(z,x)),a(x,y,z) \ v5). x != K(L(y,z,K(u,w)),v5) | K(y,v5) = x. K(x,a(y,z,u) \ w) = K(T(a(y,z,u),v5) \ (T(a(y,z,u),v5) * x),w / T(a(y,z,u),v5)). K(T(a(x,y,z),u) \ (T(a(x,y,z),u) * w),v5 / T(a(x,y,z),u)) = K(w,a(x,y,z) \ v5). K(x,a(y,z,u) \ w) != v5 | K(x,w / T(a(y,z,u),v6)) = v5. K(x,y / T(a(z,u,w),v5)) = K(x,y * a(z,u,w)). K(x,((a(y,z,u) \ 1) \ w) / T(a(y,z,u),v5)) != v6 | K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)) = v6. K(x,T(a(y,z,K(u,w)) * v5,a(y,z,w) \ 1)) = K(x,((a(y,z,w) \ 1) \ v5) * a(y,z,w)). x != K(y,((z \ 1) \ u) * z) | K(y,z * (u * z)) = x. K(x,a(y,z,u) * (w * a(y,z,u))) = K(x,T(a(y,z,K(v5,u)) * w,a(y,z,u) \ 1)). K(x,T(a(y,z,K(u,w)) * v5,a(y,z,w) \ 1)) = K(x,a(y,z,w) * (v5 * a(y,z,w))). K(x,L(a(y,z,K(u,w)) * v5,z,K(w,y))) = K(x,a(y,z,w) * (v5 * a(y,z,w))). K(x,a(y,z,K(u,w)) * v5) = K(x,a(y,z,w) * (v5 * a(y,z,w))). K(x,y) = K(x,a(z,u,w) * (y * a(z,u,w))). K(x,a(y,z,u) * (w * a(y,z,u))) = K(x,w). K(x,a(y,z,z) * ((L(y,z,z) \ u) * a(y,z,z))) != w | K(x,(y * (1 / (y \ L(y,z,z)))) \ u) = w. K(x,(y * (1 / (y \ L(y,z,z)))) \ u) = K(x,L(y,z,z) \ u). K(x,(y * (L(y,z,z) \ y)) \ u) = K(x,L(y,z,z) \ u). K(x,(y * a(z,z,y)) \ u) = K(x,L(y,z,z) \ u). K(x,(y * a(z,z,y)) \ u) != w | K(x,L(y \ 1,z,z) * u) = w. K(x,L(y \ 1,z,z) * u) = K(x,L(y,z,z) \ u). K(x,T(L(y,z,z),1) * u) = K(x,L(y \ 1,z,z) \ u). K(x,L(y \ 1,z,z) \ u) = K(x,T(L(y,z,z),1) * u). K(x,L(y \ 1,z,z) \ u) = K(x,L(y,z,z) * u). K(x,y / L(z \ 1,u,u)) = K(x,L(z,u,u) * T(y,z \ 1)). K(x,L(y,z,z) * T(u,y \ 1)) = K(x,u / L(y \ 1,z,z)). K(x,L(y \ 1,z,z) \ u) != w | K(x,y * (z \ ((1 / z) \ u))) = w. K(x,y * (z \ ((1 / z) \ u))) = K(x,L(y,z,z) * u). K(x,L(((y * (z \ 1)) / y) \ 1,u,u) \ y) != w | K(x,y / L(z,u,u)) = w. K(x,y / L(z,u,u)) = K(x,L((y * (z \ 1)) / y,u,u) * y). K(x,L((y * (z \ 1)) / y,u,u) * y) = K(x,y / L(z,u,u)). K(x,L(R(y,z,y),u,u) \ w) = K(x,L(L(1 / y,z,y),u,u) * w). K(x,L(L(1 / y,z,y),u,u) * w) = K(x,L(R(y,z,y),u,u) \ w). K(x,y * T(z,u \ 1)) != w | K(x,y * T(z,u)) = w. K(x,L(y,z,z) * T(u,y)) = K(x,u / L(y \ 1,z,z)). K(x,y / L(z \ 1,u,u)) = K(x,L(z,u,u) * T(y,z)). K(x,y / L(z \ 1,u,u)) = K(x,y * L(z,u,u)). x \ T(x,y * L(z,u,u)) = K(x,y / L(z \ 1,u,u)). K(x,y / L(z \ 1,u,u)) = x \ T(x,y * L(z,u,u)). K(x,y / L(((z * z) \ u) \ 1,z,z)) != w | K(x,(z \ (z \ y)) * u) = w. K(x,(y \ (y \ z)) * u) = K(x,z * L((y * y) \ u,y,y)). K(x,y * L((z * z) \ u,z,z)) = K(x,(z \ (z \ y)) * u). K(x,y / L(z \ 1,u,u)) != w | K(x,y * (z * a(u,u,z))) = w. K(x,y * (z * a(u,u,z))) = K(x,y * L(z,u,u)). K(x,y / L(z * K(u,w),v5,v5)) = K(x,y * L(K(w,u) / z,v5,v5)). K(x,y * ((z \ 1) \ u)) = K(x,y * L(z * u,z,z)). K(x,y * L(z * u,z,z)) = K(x,y * ((z \ 1) \ u)). K(x,y * L(z,u,u)) = K(x,y * ((u \ 1) \ (u \ z))). K(x,y * ((z \ 1) \ (z \ u))) = K(x,y * L(u,z,z)). K(x,y * L(T(T(z,u),z \ 1) * w,T(T(z,u),z \ 1),T(T(z,u),z \ 1))) = K(x,y * ((1 / T(z,u)) \ w)). K(x,y * (z \ ((1 / z) \ u))) = K(x,y * L(u,z,z)). K(x,y * (z \ ((1 / z) \ u))) != w | K(x,L(y,z,z) * u) = w. K(x,L(y,z,z) * u) = K(x,y * L(u,z,z)). x \ T(x,y * L(z,u,u)) = K(x,L(y,u,u) * z). K(x,L(y,z,z) * (y \ u)) != w | K(x,a(y,z,z) * u) = w. K(x,a(y,z,z) * u) = K(x,y * L(y \ u,z,z)). K(x,y * L(y \ z,u,u)) = K(x,a(y,u,u) * z). K(x,(y * z) * u) = K(x,((y \ 1) \ z) * L(u,y,y)). K(x,((y \ 1) \ z) * L(u,y,y)) = K(x,(y * z) * u). K(x,y * L(z \ 1,u,u)) != w | K(x,L(y,u,u) / z) = w. T(x,L(y,z,z) * u) = T(x,y * L(u,z,z)). K(x,L(y,z,z) * u) != w | K(x,y * L(u,z,z)) = w. T(x,L(y,z,z) * ((z * z) * u)) != w | T(x,(z * (z * y)) * u) = w. T(x,(y * (y * z)) * u) = T(x,z * L((y * y) * u,y,y)). T(x,y * L((z * z) * u,z,z)) = T(x,(z * (z * y)) * u). K(x,(y * z) * L(L(u,z,y),w,w)) = K(x,a(y * z,w,w) * (y * (z * u))). K(x,a(y * z,u,u) * (y * (z * w))) = K(x,(y * z) * L(L(w,z,y),u,u)). K(x,((y \ z) \ z) * L(y \ (y \ z),u,u)) = K(x,a((y \ z) \ z,u,u) * (z / y)). K(x,y * L(z,u,u)) != w | K(x,y * z) = w. K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). K(x,((y \ 1) \ z) * L(u,y,y)) != w | K(x,(y \ z) * (y * (y * u))) = w. K(x,(y \ z) * (y * (y * u))) = K(x,(y * z) * u). K(x,((y \ 1) \ z) * u) != w | K(x,((1 / y) \ z) * u) = w. K(x,((1 / y) \ z) * u) = K(x,(y * z) * u). K(x,(y \ z) * (y * T(u,y))) = K(x,(y * z) * (u / y)). K(x,(y \ z) * u) = K(x,(y * z) * (y \ (y \ u))). K(x,(y * z) * (y \ (y \ u))) = K(x,(y \ z) * u). K(x,y * (z \ (z \ u))) = K(x,(z \ (z \ y)) * u). K(x,(y \ (y \ z)) * u) = K(x,z * (y \ (y \ u))). K(x,(y \ (y \ z)) * u) != w | K(x,((z / y) / y) * u) = w. K(x,((y / z) / z) * u) = K(x,y * (z \ (z \ u))). K(x,(y / z) * u) = K(x,(y * z) * (z \ (z \ u))). K(x,(y * z) * (z \ (z \ u))) = K(x,(y / z) * u). K(x,(y * (y / z)) * ((y / z) \ ((y / z) \ ((y / z) * u)))) = K(x,z * ((z \ y) * u)). T(x,y / L(z \ 1,u,u)) = T(x,y * L(z,u,u)). K(x / L(y \ 1,z,z),u) = u / T(u,x * L(y,z,z)). K(x,(y \ z) * (u * y)) = K(x,(y * z) * (u / y)). K(x,T(y,z) * (u * z)) = K(x,(z * (y * z)) * (u / z)). K(x,(y * (z * y)) * (u / y)) = K(x,T(z,y) * (u * y)). K(x,(T(y,y \ z) \ u) * ((z / y) * T(y,y \ z))) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). K(x * L(y,z,z),u) = K(x / L(y \ 1,z,z),u). K(x / L(y \ 1,z,z),u) = K(x * L(y,z,z),u). K(x / L(T(y,y \ 1),z,z),u) = K(x * L(y \ 1,z,z),u). K(x,y * L((1 / z) * u,z,z)) = K(x,(z \ (z \ y)) * (z * u)). T(x,y * (z * (z * u))) = T(x,(z * (z * y)) * u). T(x,(y * (y * z)) * u) = T(x,z * (y * (y * u))). T(x,((1 / y) * T((1 / y) * z,y)) * u) = T(x,((y \ z) * y) * ((1 / y) * ((1 / y) * u))). T(x,((y \ z) * y) * ((1 / y) * ((1 / y) * u))) = T(x,((1 / y) * T((1 / y) * z,y)) * u). K(x,y * L(z \ 1,u,u)) = K(x,y / L(z,u,u)). K(x,L(y,z,z) / u) = K(x,y / L(u,z,z)). K(x,L(y,z,z) / (z * u)) != w | K(x,y / ((z \ 1) \ u)) = w. K(x,y / ((z \ 1) \ u)) = K(x,y / L(z * u,z,z)). K(x,y / L(z * u,z,z)) = K(x,y / ((z \ 1) \ u)). K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),L(1 / z,u,z))) = K(x,y / (R(z,u,z) \ w)). K(x / L(T(y,z \ u),w,v5),v6) != v7 | K(x / L(T(y,z * u),w,v5),v6) = v7. K(x / L(T(y,y * 1),z,z),u) = K(x * L(y \ 1,z,z),u). K(x / L(T(y,y),z,z),u) = K(x * L(y \ 1,z,z),u). K(x / L(y,z,z),u) = K(x * L(y \ 1,z,z),u). K(x * L(y \ 1,z,z),u) = K(x / L(y,z,z),u). K(x,y * L((1 / z) * u,z,z)) != w | K(x,y * L((z \ 1) * u,z,z)) = w. K(x,y * L((z \ 1) * u,z,z)) = K(x,(z \ (z \ y)) * (z * u)). x != K(y,(z \ (z \ u)) * w) | K(y,u * (z \ (z \ w))) = x. K(x,y * (z \ (z \ (z * u)))) = K(x,y * L((z \ 1) * u,z,z)). K(x,y * L((z \ 1) * u,z,z)) = K(x,y * (z \ (z \ (z * u)))). K(x,y * L((z \ 1) * u,z,z)) = K(x,y * (z \ u)). K(x,y * ((z \ 1) * u)) = K(x,y * (z \ u)). x != K(y,L(R(z,u,z),w,v5) \ v6) | K(y,L(z,w,v5) \ v6) = x. K(x,L(y,z,z) \ u) = K(x,L(L(1 / y,w,y),z,z) * u). K(x,L(L(1 / y,z,y),u,u) * w) = K(x,L(y,u,u) \ w). K(x,L(1 / y,z,y) * L(u,w,w)) = K(x,L(y,w,w) \ u). K(x,L(y \ 1,z,y) * L(u,w,w)) = K(x,L(y,w,w) \ u). K(x,L(y \ 1,z,y) * u) != w | K(x,y \ u) = w. K(x,y \ L(z,u,u)) = K(x,L(y,u,u) \ z). K(x,L(y,z,z) \ u) = K(x,y \ L(u,z,z)). K(x,L(y,z,z) \ u) != w | K(x,(y \ u) * a(y,z,z)) = w. K(x,(y \ z) * a(y,u,u)) = K(x,y \ L(z,u,u)). K(x,L(y,z,z) \ L(u,z,z)) != w | K(x,y \ u) = w. K(x,y \ z) = K(x,y \ L(L(z,u,u),u,u)). K(x,y \ L(L(z,u,u),u,u)) = K(x,y \ z). K(x,L(y,z,z) \ ((z * y) * u)) != w | K(x,y \ (((z \ 1) \ y) * u)) = w. K(x,y \ (((z \ 1) \ y) * u)) = K(x,y \ L((z * y) * u,z,z)). K(x,y \ L((z * y) * u,z,z)) = K(x,y \ (((z \ 1) \ y) * u)). K(x,y * a(z,u,u)) != w | K(x,y) = w. K(x,y \ z) = K(x,y \ L(z,u,u)). K(x,y \ L(z,u,u)) = K(x,y \ z). K(x,(y / L(z,z,K(z,y) * u)) \ L(u,z,z)) != w | K(x,(y / z) \ u) = w. K(x,(y / z) \ u) = K(x,(y / L(z,z,K(z,y) * u)) \ u). K(x,(y / L(z,z,K(z,y) * u)) \ u) = K(x,(y / z) \ u). K(x,y \ L(z,u,u)) != w | K(x,y \ z) = w. K(x,y \ ((z * y) * u)) = K(x,y \ (((z \ 1) \ y) * u)). K(x,y \ (((z \ 1) \ y) * u)) = K(x,y \ ((z * y) * u)). x != K(y,z * L(K(u,w) / v5,v6,v6)) | K(y,z * L(v5 \ K(u,w),v6,v6)) = x. K(x,y * L(z \ K(u,w),v5,v5)) = K(x,y / L(z * K(w,u),v5,v5)). K(x,y / L(z * K(u,w),v5,v5)) = K(x,y * L(z \ K(w,u),v5,v5)). K(x,y / L(z * K(u,w),u,u)) != v5 | K(x,y * (L(z,u,u) \ K(u,w))) = v5. K(x,y * (L(z,u,u) \ K(u,w))) = K(x,y * L(z \ K(w,u),u,u)). K(x,y * L(z \ K(u,w),w,w)) = K(x,y * (L(z,w,w) \ K(w,u))). K(x,y / ((z \ 1) * u)) = K(x,y * L((u / z) \ K(u,z),z,z)). K(x,y * L((z / u) \ K(z,u),u,u)) = K(x,y / ((u \ 1) * z)). K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,T(u,L((y / z) \ K(y,z),z,z)) / ((z \ 1) * y)). K(x,T(y,L((z / u) \ K(z,u),u,u)) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). K(x,a(y * z,u,u) * (y * (z * w))) = K(x,y * (z * L(w,u,u))). K(x,a(y,z,z) * u) != w | K(x,u) = w. K(x,y * (z * u)) = K(x,y * (z * L(u,w,w))). K(x,y * (z * L(u,w,w))) = K(x,y * (z * u)). K(x,a(y * z,u,u) * (y * (w * z))) = K(x,y * (z * L(T(w,z),u,u))). K(x,y * (z * ((u * u) \ w))) = K(x,y * (z * (u \ (u \ w)))). K(x,y * (z * ((y * y) \ u))) != w | K(x,y \ (z * u)) = w. K(x,y \ (z * u)) = K(x,y * (z * (y \ (y \ u)))). K(x,y * (z * (y \ (y \ u)))) = K(x,y \ (z * u)). K(x,a(y * z,u,u) * (y * (w * z))) = K(x,y * (L(w,u,u) * z)). K(x,y * (z * u)) = K(x,y * (L(z,w,w) * u)). K(x,y * (L(z,u,u) * w)) = K(x,y * (z * w)). K(x,y * (L(z,y,y) * u)) != w | K(x,y \ ((y * (y * z)) * u)) = w. K(x,y \ ((y * (y * z)) * u)) = K(x,y * (z * u)). K(x,T(y,z) * L(y \ (y \ z),u,u)) = K(x,a((y \ z) \ z,u,u) * (z / y)). K(x,(y * (y / z)) * ((y / z) \ u)) = K(x,z * ((z \ y) * u)). T(x,((y \ z) * y) * ((1 / y) * ((1 / y) * u))) = T(x,((y \ 1) * T((y \ 1) * z,y)) * u). x != T(y,(z * T((u \ 1) * w,u)) * v5) | T(y,(z * (w * (u \ 1))) * v5) = x. T(x,((y \ 1) * (z * (y \ 1))) * u) = T(x,((y \ z) * y) * ((1 / y) * ((1 / y) * u))). T(x,((y \ z) * y) * ((1 / y) * ((1 / y) * u))) = T(x,((y \ 1) * (z * (y \ 1))) * u). T(x,((y \ z) * y) * ((y \ 1) * ((y \ 1) * u))) = T(x,((y \ 1) * (z * (y \ 1))) * u). T(x,((y \ z) * (1 / y)) * L(u,y,y)) = T(x,((y \ 1) * (z * (y \ 1))) * u). T(x,((y \ z) * (y \ 1)) * L(u,y,y)) = T(x,((y \ 1) * (z * (y \ 1))) * u). K(x,(T(y,y \ z) \ u) * (y * (z / y))) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). K(x,(T(y,y \ z) \ u) * T(z,y)) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,y \ z) \ u) * T(z,y)). x != K(y,(T(z,u \ w) \ v5) * v6) | K(y,(T(z,u * w) \ v5) * v6) = x. K(x,(T(y,y * z) \ u) * T(z,y)) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,y * z) \ u) * T(z,y)). x != K(y,(T(z,z * u) \ w) * v5) | K(y,(T(z,u) \ w) * v5) = x. K(x,(T(y,z) \ u) * T(z,y)) = K(x,(T(y,y \ z) * u) * ((y \ z) / y)). K(x,(T(y,y \ z) * u) * ((y \ z) / y)) = K(x,(T(y,z) \ u) * T(z,y)). K(x,y * ((z \ u) / z)) != w | K(x,y * (z \ (u / z))) = w. K(x,(T(y,y \ z) * u) * (y \ (z / y))) = K(x,(T(y,z) \ u) * T(z,y)). K(x,(y * z) * (T(y,y \ u) \ (u / y))) = K(x,(T(y,u) \ z) * T(u,y)). K(x,(y * z) * (y \ (y \ u))) = K(x,(T(y,u) \ z) * T(u,y)). K(x,(T(y,z) \ u) * T(z,y)) = K(x,(y * u) * (y \ (y \ z))). x != K(y,(z * u) * (z \ (z \ w))) | K(y,(z \ u) * w) = x. K(x,(y \ z) * u) = K(x,(T(y,u) \ z) * T(u,y)). K(x,(T(y,z) \ u) * T(z,y)) = K(x,(y \ u) * z). K(x,T(y,(z / u) \ K(z,u)) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). K(x,T(y,z * (u \ K(u,z))) / ((z \ 1) * u)) = K(x,L((u / z) \ K(u,z),z,z) * y). K(x,T(y,z / T(u,z)) / ((z \ 1) * u)) = K(x,L((u / z) \ K(u,z),z,z) * y). K(x,T(y,z \ u) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,T(u,y \ z) / ((z \ 1) * y)). K(x,T(y,z * u) / ((u \ 1) * z)) = K(x,L((z / u) \ K(z,u),u,u) * y). K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,T(u,y * z) / ((z \ 1) * y)). x != K(y,T(z,u * w) / ((w \ 1) * u)) | K(y,((w \ 1) * u) \ z) = x. K(x,((y \ 1) * z) \ u) = K(x,L((z / y) \ K(z,y),y,y) * u). K(x,L((y / z) \ K(y,z),z,z) * u) = K(x,((z \ 1) * y) \ u). K(x,((y / z) \ K(y,z)) * L(u,z,z)) = K(x,((z \ 1) * y) \ u). K(x,K(y,z) * ((z / y) \ L(u,y,y))) = K(x,((y \ 1) * z) \ u). K(x,K(y,z) * ((u / y) \ w)) != v5 | K(x,(u / T(y,z)) \ w) = v5. K(x,(y / T(z,y)) \ L(u,z,z)) = K(x,((z \ 1) * y) \ u). K(x,(y / T(z,y)) \ u) != w | K(x,(z \ y) \ u) = w. K(x,(y \ z) \ L(u,y,y)) = K(x,((y \ 1) * z) \ u). K(x,(y \ z) \ u) != w | K(x,(L(y,y,u) \ z) \ L(u,y,y)) = w. K(x,(L(y,y,L(z,y,y)) \ u) \ L(L(z,y,y),y,y)) = K(x,((y \ 1) * u) \ z). K(x,(y \ z) \ u) = K(x,((y \ 1) * z) \ u). K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). K(x,(L(y,y,z) \ u) \ L(L(z,y,y),y,y)) = K(x,((y \ 1) * u) \ z). K(x,y \ L(L(z,u,u),u,u)) != w | K(x,y \ z) = w. K(x,(L(y,y,z) \ u) \ z) = K(x,((y \ 1) * u) \ z). K(x,(L(y,y,K(y \ 1,z) * u) \ z) \ (K(y \ 1,z) * u)) = K(x,(z * (y \ 1)) \ u). K(x,(L(y,y,K(y,z) * u) \ z) \ (K(y \ 1,z) * u)) = K(x,(z * (y \ 1)) \ u). K(x,K(y,z \ 1) * ((L(z,z,K(z,y) * u) \ y) \ u)) = K(x,(y * (z \ 1)) \ u). K(x,K(y,z) * ((u \ y) \ w)) != v5 | K(x,(u \ T(y,z)) \ w) = v5. K(x,(L(y,y,K(y,z) * u) \ T(z,y \ 1)) \ u) = K(x,(z * (y \ 1)) \ u). K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),L(z,u,z))) = K(x,y / (R(z,u,z) \ w)). K(x,y / L(L(1 / z,u,z) * w,L(1 / z,u,z),z)) = K(x,y / (R(z,u,z) \ w)). K(x,y / L(L(1 / z,u,z) * w,L(z,u,z),z)) = K(x,y / (R(z,u,z) \ w)). K(x,y / L(L(1 / z,u,z) * w,z,z)) = K(x,y / (R(z,u,z) \ w)). x != K(y,z / (R(u,w,u) \ v5)) | K(y,z / (u \ v5)) = x. K(x,y / (z \ u)) = K(x,y / L(L(1 / z,w,z) * u,z,z)). K(x,y / L(L(1 / z,u,z) * w,z,z)) = K(x,y / (z \ w)). K(x,y * (T(z,u) * L(w,z,z))) = K(x,y * ((1 / T(z,u)) \ w)). x != K(y,z * ((1 / T(u,w)) \ v5)) | K(y,z * (T(u \ 1,w) \ v5)) = x. K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (T(z,u) * L(w,z,z))). K(x,y * (T(z,u) * L(w,z,z))) = K(x,y * (T(z \ 1,u) \ w)). K(x,y * (z * L(u,w,w))) != v5 | K(x,y * (z * u)) = v5. K(x,y * (T(z,u) * w)) = K(x,y * (T(z \ 1,u) \ w)). K(x,y * (T(z \ 1,u) \ w)) = K(x,y * (T(z,u) * w)). K(x,y * (T(z \ 1,u) \ w)) != v5 | K(x,y * (T(1 / z,u) \ w)) = v5. K(x,y * (T(1 / z,u) \ w)) = K(x,y * (T(z,u) * w)). K(x,T(T(y * z,y),u)) != w | K(x,T(z * y,u)) = w. K(x,T((y / (z * u)) * (z * u),y * L(z,u,u))) = K(x,(u * (y / T(z * u,y))) * R(z,u,y / T(z * u,y))). K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T((z / (u * y)) * (u * y),z * L(u,y,y))). K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,z * L(u,y,y))). x != K(y,T(z,z * u)) | K(y,T(z,u)) = x. K(x,T(y,L(z,u,u))) = K(x,(u * (y / T(z * u,y))) * R(z,u,y / T(z * u,y))). K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,L(u,y,y))). x != K(y,T(z,L(u,w,v5))) | K(y,T(z,u)) = x. K(x,T(y,z)) = K(x,(u * (y / T(z * u,y))) * R(z,u,y / T(z * u,y))). K(x,(y * (z / T(u * y,z))) * R(u,y,z / T(u * y,z))) = K(x,T(z,u)). K(x,(y * (z / T(u * y,z))) * R(u,y,(u * y) \ z)) = K(x,T(z,u)). K(x,(y * ((z * y) \ u)) * R(z,y,(z * y) \ u)) = K(x,T(u,z)). K(x,(y * z) * R(u,y,z)) != w | K(x,T(z,y) * (y * u)) = w. K(x,T((y * z) \ u,z) * (z * y)) = K(x,T(u,y)). K(x,T(y,z \ u) * w) != v5 | K(x,T(y,z * u) * w) = v5. K(x,T((y * (z \ u)) \ w,z * u) * ((z \ u) * y)) = K(x,T(w,y)). K(x,T((a(y,z,u) * (w / a(y,z,u))) \ v5,a(y,z,u)) * (a(y,z,u) * (a(y,z,u) \ w))) = K(x,T(v5,a(y,z,u) \ w)). K(x,T((y * (z \ 1)) \ u,z) * ((z \ 1) * y)) = K(x,T(u,y)). K(x,y * ((z \ 1) * u)) != w | K(x,y * (z \ u)) = w. K(x,T((y * (z \ 1)) \ u,z) * (z \ y)) = K(x,T(u,y)). K(x,L((a(y,z,u) * (w / a(y,z,u))) \ v5,z,K(u,y)) * (a(y,z,u) * (a(y,z,u) \ w))) = K(x,T(v5,a(y,z,u) \ w)). K(x,L((a(y,z,u) * (w / a(y,z,u))) \ v5,z,K(u,y)) * w) = K(x,T(v5,a(y,z,u) \ w)). K(x,((a(y,z,u) * (w / a(y,z,u))) \ v5) * w) = K(x,T(v5,a(y,z,u) \ w)). K(x,((y * (z / y)) \ u) * z) != w | K(x,T(u * K(z,y),z)) = w. K(x,T(y * K(z,a(u,w,v5)),z)) = K(x,T(y,a(u,w,v5) \ z)). K(x,T(y * a(z,u,K(w,v5)),z)) = K(x,T(y,a(v5,u,w) \ z)). K(x,T(y,z)) = K(x,T(y,a(u,w,v5) \ z)). K(x,T(y,a(z,u,w) \ v5)) = K(x,T(y,v5)). K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). T(x * K(y,T(x,z)),y) = T(x,K(y,a(u,w,v5) * z)). K((a(x,y,z) * u) \ w,T(v5,u)) != v6 | K(w / (a(x,y,z) * u),v5) = v6. T(x,a(y,z,u)) * K(w,T(v5,x)) = T(K(w,v5) * x,a(y,z,u)). K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). K(x,T(y,z * L(u,w,w))) = K(x,T(y,z * u)). T(K(x,y),z * a(u,w,v5)) = K(x,T(y,z)). K(x,y) * K(y,T(x,z * (u * w))) = K(x,K(y,(z * u) * w)). T(x,K(y,z)) = T(x,K(y,a(u,w,v5) * z)). T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). x \ T(y * T(x,K(z,u)),K(u / a(w,v5,v6),z)) = T(y,K(z,a(w,v5,v6) \ u) * x). L(x,y,K(z,u)) * K(w,T(v5,x)) = T(K(w,v5) * x,a(u,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,K(y,z * (u \ w))) = K(x,K(y,z * (u * w))). K(x,K(y,z * u)) = K(x,K(z * u,z * (u * y))). K(x,K(y * z,y * (z * u))) = K(x,K(u,y * z)). K(x,K(y,z * ((u \ z) \ w))) != v5 | K(x,K(y,z * (u * (z \ w)))) = v5. K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,z * ((u \ z) * w))). K(x,K(y,z * ((u \ z) * w))) = K(x,K(y,z * (u * (z \ w)))). K(x,y) * L(z,u,K(w,v5)) = T(K(x,y) * z,a(v5,u,w)). T(K(x,y) * z,a(u,w,v5)) = K(x,y) * L(z,w,K(v5,u)). L(K(x,y) * z,u,K(w,v5)) = K(x,y) * L(z,u,K(w,v5)). (x \ K(y,z)) \ L(x \ K(y,z),u,K(w,v5)) = x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)). K(x,K(y,z * ((u \ z) * w))) != v5 | K(x,K(y,u * w)) = v5. K(x,K(y,z * u)) = K(x,K(y,w * (z * (w \ u)))). K(x,K(y,z * (u * (z \ w)))) = K(x,K(y,u * w)). K(x,K(y,z * x)) * K(y,L(T(z,u \ x),u \ x,u)) = K(y,(u * (z * (u \ x))) / x). x \ T(y * T(x,K(z,u)),K(z / a(w,v5,v6),u)) = T(y,K(u,a(w,v5,v6) \ z) * x). x \ T(y * T(x,K(z,u)),K(u,a(w,v5,v6) \ z)) = T(y,K(u,a(w,v5,v6) \ z) * x). x \ T(y * T(x,K(z,u)),K(u,a(w,v5,v6) * z)) = T(y,K(u,a(w,v5,v6) \ z) * x). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(u,a(w,v5,v6) \ z) * x). T(x,K(y,a(z,u,w) \ v5) * v6) = v6 \ T(x * T(v6,K(v5,y)),K(y,v5)). T(x,K(y,a(z,u,w) \ v5) * v6) = v6 \ T(x * T(v6,K(v5,y)),K(v5,y)). T(x,K(y,z) * u) = T(x,K(y,a(w,v5,v6) \ z) * u). T(x,K(y,a(z,u,w) \ v5) * v6) = T(x,K(y,v5) * v6). T(x,y * K(z,a(u,w,v5) * v6)) = T(x,K(z,v6) * y). T(x,y \ T(a(z,u,w) * v5,v6)) = T(x,K(v6,v5) * (y \ (a(z,u,w) * v5))). T(x,K(y,z) * (u \ (a(w,v5,v6) * z))) = T(x,u \ T(a(w,v5,v6) * z,y)). T(x,y \ (a(z,u,w) * T(v5,v6))) = T(x,y \ T(a(z,u,w) * v5,v6)). T(x,y \ T(a(z,u,w) * v5,v6)) = T(x,y \ (a(z,u,w) * T(v5,v6))). T(x,y \ (T(z,u) * a(w,v5,v5))) = T(x,y \ T(a(w,v5,v5) * z,u)). T(x,y \ T(a(z,u,u) * w,v5)) = T(x,y \ (T(w,v5) * a(z,u,u))). K(x,K(y,z)) * K(y,L(T(z,u \ x),u \ x,u)) = K(y,(u * (z * (u \ x))) / x). K(x,K(y,z)) * K(y,x \ (u * (z * (u \ x)))) = K(y,(u * (z * (u \ x))) / x). x != K(y,(z * (u * (z \ w))) / w) | K(y,w \ (((w / z) * u) * z)) = x. K(x,y \ (((y / z) * u) * z)) = K(y,K(x,u)) * K(x,y \ (z * (u * (z \ y)))). K(x,K(y,z)) * K(y,x \ (u * (z * (u \ x)))) = K(y,x \ (((x / u) * z) * u)). K(x,K(y,z)) * K(y,L(T(z,u * x),x,u)) = K(y,x \ (((x / u) * z) * u)). K(x,L(T(T(y,z),u * z),z,u)) = K(x,z \ (((z / u) * y) * u)). K(x,(y * z) / (y * (u \ z))) = K(x,z \ (((z / y) * u) * y)). a(x,y,K(z,u \ K(w,v5))) = u \ L(K(w,v5) * (K(w,v5) \ u),y,K(z,x)). x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)) = a(v5,u,K(w,x \ K(y,z))). a(x,y,K(z,u * K(w,v5))) = u \ L(K(w,v5) * (K(w,v5) \ u),y,K(z,x)). x \ L(K(y,z) * (K(y,z) \ x),u,K(w,v5)) = a(v5,u,K(w,x * K(y,z))). x \ L(x,y,K(z,u)) = a(u,y,K(z,x * K(w,v5))). a(x,y,K(z,u * K(w,v5))) = u \ L(u,y,K(z,x)). a(x,y,K(z,u)) = a(x,y,K(z,u * K(w,v5))). a(x,y,K(z,u * K(w,v5))) = a(x,y,K(z,u)). a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(w,z)). a(K(x,y) * (z * T(x,y)),u,K(w,v5)) != v6 | a(z * x,u,K(w,v5)) = v6. a(x * y,z,K(u,w)) = a(w,z,K(u,x * T(y,v5))). a(x,y,K(z,u * T(w,v5))) = a(u * w,y,K(z,x)). x != K(y,T(z,u) / u) | K(y,u \ z) = x. K(x,(y * T(z,u * w)) \ v5) = K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))). K(x,((y * T(z,u \ w)) \ (v5 * ((y * T(z,u \ w)) \ 1))) * (y * T(z,u * w))) = K(x,(y * T(z,u * w)) \ v5). K(x,(y \ (z * (y \ 1))) * u) != w | K(x,((y \ z) * (y \ 1)) * u) = w. K(x,(((y * T(z,u \ w)) \ v5) * ((y * T(z,u \ w)) \ 1)) * (y * T(z,u * w))) = K(x,(y * T(z,u * w)) \ v5). K(x,(y * ((z * T(u,w \ v5)) \ 1)) * (z * T(u,w * v5))) != v6 | K(x,y) = v6. K(x,(y * T(z,u \ w)) \ v5) = K(x,(y * T(z,u * w)) \ v5). K(x,(T(y \ 1,z * y) * T(u,T(y,z) \ u)) \ w) != v5 | K(x,(u * T(y \ 1,z)) \ w) = v5. K(x,(y * T(z \ 1,u)) \ w) = K(x,(T(z \ 1,u * z) * T(y,T(z,u) * y)) \ w). K(x,(T(y \ 1,z * y) * T(u,T(y,z) * u)) \ w) = K(x,(u * T(y \ 1,z)) \ w). K(x,(y \ T(z,u \ w)) \ v5) = K(x,((1 / y) * T(y \ ((y \ 1) \ z),u * w)) \ v5). K(x,((1 / y) * T(y \ ((y \ 1) \ z),u * w)) \ v5) = K(x,(y \ T(z,u \ w)) \ v5). K(x,(y * T(z,u * z)) \ w) != v5 | K(x,(y * T(z,u)) \ w) = v5. K(x,(T(y \ 1,z * y) * T(u,T(y,z))) \ w) = K(x,(u * T(y \ 1,z)) \ w). K(x,(T(y \ 1,z * y) * T(u,y)) \ w) = K(x,(u * T(y \ 1,z)) \ w). K(x,(T(y \ 1,z * y) * u) \ w) != v5 | K(x,(T(y \ 1,z) * u) \ w) = v5. 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) != v5 | K(x,(((y * y) \ u) * T(y,z)) \ w) = v5. K(x,(((y * y) \ z) * T(y,u)) \ w) = K(x,(z * T(y \ 1,u)) \ w). K(x,(y * T(z,u)) \ ((z * z) * w)) = K(x,(y * T(z \ 1,u)) \ w). K(x,y * (y * ((z * T(y,u)) \ w))) = K(x,(z * T(y \ 1,u)) \ w). K(x,y * (y * ((z * T(y,u)) \ w))) != v5 | K(x,(z * (((u * y) / u) \ 1)) \ w) = v5. K(x,(y * (((z * u) / z) \ 1)) \ w) = K(x,(y * T(u \ 1,z)) \ w). K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) = K(x,(y * T(u \ 1,y)) \ z). K(x,(y * (((z * u) / z) \ 1)) \ w) != v5 | K(x,(y * (T(u,z) \ 1)) \ w) = v5. K(x,(y * (T(z,u) \ 1)) \ w) = K(x,(y * T(z \ 1,u)) \ w). K(x,(y * T(z \ 1,u)) \ w) = K(x,(y * (T(z,u) \ 1)) \ w). K(x,L(T(y \ 1,z),u,w) \ v5) = K(x,((T(y \ 1,z) \ L(T(y \ 1,z),u,w)) * (T(y,z) \ 1)) \ v5). K(x,((T(y \ 1,z) \ L(T(y \ 1,z),u,w)) * (T(y,z) \ 1)) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5). K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) = K(x,((u \ 1) * y) \ z). K(x,(y \ T(z,u * w)) \ v5) = K(x,(y \ T(z,u \ w)) \ v5). K(x,(y \ T(z,u \ w)) \ v5) = K(x,(y \ T(z,u * w)) \ v5). K(x,(L(y,y,K(y,z) * u) \ T(z,y \ 1)) \ u) != w | K(x,(z * (y \ 1)) \ u) = w. K(x,(y * (z \ 1)) \ u) = K(x,(L(z,z,K(z,y) * u) \ T(y,z * 1)) \ u). K(x,(L(y,y,K(y,z) * u) \ T(z,y * 1)) \ u) = K(x,(z * (y \ 1)) \ u). K(x,(L(y,y,K(y,z) * u) \ T(z,y)) \ u) = K(x,(z * (y \ 1)) \ u). K(x,(y / L(z,z,K(z,y) * u)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y / L(z,z,K(z,y) * u)) \ 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,(T((y \ 1) \ L(y \ 1,z,u),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). K(x,(T(y \ L(y,z,u),w) * (T(y,w) \ 1)) \ v5) = K(x,L(T(y \ 1,w),z,u) \ v5). K(x,L(T(y,z) \ 1,u,w) \ v5) = K(x,L(T(y \ 1,z),u,w) \ v5). K(x,L(T(y \ 1,z),u,w) \ v5) = K(x,L(T(y,z) \ 1,u,w) \ v5). x != K(y,L(z \ 1,u,u) \ w) | K(y,L(z,u,u) * w) = x. K(x,L(T(y,z),u,u) * w) = K(x,L(T(y \ 1,z),u,u) \ w). K(x,L(T(y \ 1,z),u,u) \ w) = K(x,L(T(y,z),u,u) * w). K(x,L(T(y \ 1,z),u,u) \ (y \ (y \ z))) != w | K(x,z / L(y,u,u)) = w. K(x,y / L(z,u,u)) = K(x,L(T(z,y),u,u) * (z \ (z \ y))). K(x,L(T(y,z),u,u) * (y \ (y \ z))) = K(x,z / L(y,u,u)). K(x,T(y,z) * L(y \ (y \ z),u,u)) = K(x,z / L(y,u,u)). K(x,T(y,z) * L(y \ (y \ z),u,u)) != w | K(x,a((y \ z) \ z,u,u) * (z / y)) = w. K(x,a((y \ z) \ z,u,u) * (z / y)) = K(x,z / L(y,u,u)). K(x,y / z) = K(x,y / L(z,u,u)). K(x,y / L(z,u,u)) = K(x,y / z). K(x,y / L(L(1 / z,u,z) * w,z,z)) != v5 | K(x,y / (z \ w)) = v5. K(x,y / (z \ u)) = K(x,y / (L(1 / z,w,z) * u)). K(x,y / (L(1 / z,u,z) * w)) = K(x,y / (z \ w)). K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). L(x / L(T(y,y \ 1),y * z,y),L(y,y * z,y),L(y,y * z,y)) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). L(x / R(T(y,y * 1),z,y),L(y,y * z,y),L(y,y * z,y)) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). L(x / R(T(y,y),z,y),L(y,y * z,y),L(y,y * z,y)) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). L(x / R(y,z,y),L(y,y * z,y),L(y,y * z,y)) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)) = L(x / R(y,z,y),L(y,y * z,y),L(y,y * z,y)). x != L(y,L(z,u,z),L(w,v5,w)) | L(y,z,w) = x. L(x / R(y,z,y),y,y) = L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)). L(x,L(y,y * z,y),L(y,y * z,y)) / (z / (T(z,y) / y)) = L(x / R(y,z,y),y,y). L(x,y,y) / (z / (T(z,y) / y)) = L(x / R(y,z,y),y,y). K(x,T((y / (T(y,z) / z)) \ L(u,z,z),L(u,z,z)) * w) = K(x,L(u / R(z,y,z),z,z) * w). K(x,T(L(1 / y,z,y) * u,L(u,y,y)) * w) = K(x,L(u / R(y,z,y),y,y) * w). K(x,T(L(1 / y,z,y) * u,u) * w) = K(x,L(u / R(y,z,y),y,y) * w). K(x,T(y * z,z) * u) != w | K(x,(z * y) * u) = w. K(x,(y * L(1 / z,u,z)) * w) = K(x,L(y / R(z,u,z),z,z) * w). K(x,L(y / R(z,u,z),z,z) * w) = K(x,(y * L(1 / z,u,z)) * w). x != K(y,(z * L(1 / u,w,v5)) * v6) | K(y,(z * L(u \ 1,w,v5)) * v6) = x. K(x,(y * L(z \ 1,u,z)) * w) = K(x,L(y / R(z,u,z),z,z) * w). K(x,L(y / R(z,u,z),z,z) * w) = K(x,(y * L(z \ 1,u,z)) * w). K(x,L(y / R(z,u,z),z,z) * w) != v5 | K(x,(y * (z \ 1)) * w) = v5. K(x,(y * (z \ 1)) * u) = K(x,(y / R(z,w,z)) * L(u,z,z)). K(x,(y / R(z,u,z)) * L(w,z,z)) = K(x,(y * (z \ 1)) * w). K(x,(y / R(z,u,z)) * w) != v5 | K(x,(y / z) * w) = v5. K(x,(y / z) * L(u,z,z)) = K(x,(y * (z \ 1)) * u). K(x,y * L(z / (u \ 1),u,u)) != w | K(x,y * (z * u)) = w. K(x,(y / z) * (u * z)) = K(x,(y * (z \ 1)) * (u / (z \ 1))). K(x,(y * (z \ 1)) * (u / (z \ 1))) = K(x,(y / z) * (u * z)). K(x,(y * (z \ 1)) * (u / (z \ 1))) != w | K(x,(y * z) * (u / z)) = w. 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 * (y \ u))) = K(x,(u * (y \ u)) * (z / (y \ u))). K(x,(y * (z \ y)) * (u / (z \ y))) = K(x,z * (u * (z \ y))). K(x,(y * L(y,z,z)) * (u / (a(z,z,y) \ y))) = K(x,a(z,z,y) * (u * (a(z,z,y) \ y))). K(x,(y * L(y,z,z)) * (u / L(y,z,z))) = K(x,a(z,z,y) * (u * (a(z,z,y) \ y))). K(x,T(y,T(z,u)) \ ((((u * z) / u) \ T(y,T(z,u))) * w)) = K(x,(((u * z) / u) * (y * (z * K(u,z)))) \ ((y * (z * K(u,z))) * w)). K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * (z * K(y,z))) * w)) = K(x,T(u,T(z,y)) \ ((((y * z) / y) \ T(u,T(z,y))) * w)). x != K(y,T(z,u) \ ((w \ T(z,u)) * v5)) | K(y,z \ ((w \ z) * v5)) = x. K(x,y \ ((((z * u) / z) \ y) * w)) = K(x,(((z * u) / z) * (y * (u * K(z,u)))) \ ((y * (u * K(z,u))) * w)). K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * (z * K(y,z))) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). K(x,y \ ((z * (u * K(w,u))) * v5)) != v6 | K(x,y \ ((z * T(u,w)) * v5)) = v6. K(x,(((y * z) / y) * (u * (z * K(y,z)))) \ ((u * T(z,y)) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). K(x,(y * (z * (u * K(w,u)))) \ v5) != v6 | K(x,(y * (z * T(u,w))) \ v5) = v6. K(x,(((y * z) / y) * (u * T(z,y))) \ ((u * T(z,y)) * w)) = K(x,u \ ((((y * z) / y) \ u) * w)). K(x,(((y * z) / y) * u) \ w) != v5 | K(x,(T(z,y) * u) \ w) = v5. K(x,(T(y,z) * (u * T(y,z))) \ ((u * T(y,z)) * w)) = K(x,u \ ((((z * y) / z) \ u) * w)). K(x,(y * (z * y)) \ ((z * y) * u)) != w | K(x,z \ ((y \ z) * u)) = w. K(x,y \ ((T(z,u) \ y) * w)) = K(x,y \ ((((u * z) / u) \ y) * w)). K(x,y \ ((((z * u) / z) \ y) * w)) = K(x,y \ ((T(u,z) \ y) * w)). K(T(K(x,y) * z,u) * T(w,K(z,u) * z),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K(T(K(x,y) * z,u) * T(w,T(z,u)),T(v5,w * (z * K(z * K(y,x),u)))) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K(T(K(x,y) * z,u) * T(w,T(z,u)),T(v5,w * z)) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(T(K(u,z) * y,w) * T(x,T(y,w)),T(v5,x * y)). x != K(y * T(z,T(u,w)),v5) | K(y * T(z,u),v5) = x. K(T(K(x,y) * z,u) * T(w,z),T(v5,w * z)) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(T(K(u,z) * y,w) * T(x,y),T(v5,x * y)). x != K(T(K(y,z) * u,w) * v5,v6) | K(K(y,z) * (T(u,w) * v5),v6) = x. K(K(x,y) * (T(z,u) * T(w,z)),T(v5,w * z)) = K((w * (z * K(z * K(y,x),u))) * R(K(x,y),z * K(z * K(y,x),u),w),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(u,z) * (T(y,w) * T(x,y)),T(v5,x * y)). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(u,z) * (K(y,w) * (x * y)),T(v5,x * y)). x != K(y * (K(z,u) * w),T(v5,w)) | K(K(z,u) * (w * y),v5) = x. K(K(x,y) * ((z * x) * K(u,w)),v5) = K((z * (x * K(x * K(w,u),y))) * R(K(u,w),x * K(x * K(w,u),y),z),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(K(y,w) * ((x * y) * K(u,z)),v5). x != K(K(y,z) * ((u * y) * w),v5) | K((u * T(y,z)) * w,v5) = x. K((x * T(y,z)) * K(u,w),v5) = K((x * (y * K(y * K(w,u),z))) * R(K(u,w),y * K(y * K(w,u),z),x),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K((x * T(y,w)) * K(u,z),v5). x != K((y * z) * K(u,w),v5) | K(y * (z * K(w,u)),v5) = x. K(x * (T(y,z) * K(u,w)),v5) = K((x * (y * K(y * K(u,w),z))) * R(K(w,u),y * K(y * K(u,w),z),x),v5). K((x * (y * K(y * K(z,u),w))) * R(K(u,z),y * K(y * K(z,u),w),x),v5) = K(x * (T(y,w) * K(z,u)),v5). K(x * ((y * K(y * K(z,u),w)) * K(u,z)),v5) = K(x * (T(y,w) * K(z,u)),v5). K(x * (y * (K(z,u) * K(y * K(u,z),w))),v5) = K(x * (T(y,w) * K(u,z)),v5). K(x * T(y * K(z,u),w),v5) = K(x * (T(y,w) * K(u,z)),v5). K(K(x,y) * (T(z,u) * w),v5) = K(w * T(z * K(y,x),u),T(v5,z)). K(x * T(y * K(z,u),w),T(v5,y)) = K(K(u,z) * (T(y,w) * x),v5). K(x * T(T(y,z),u),T(w,y)) = K(K(z,y) * (T(y,u) * x),w). K(K(x,y) * (T(y,z) * u),w) = K(u * T(T(y,x),z),T(w,y)). x != K(y * T(T(z,u),w),T(v5,z)) | K(T(T(z,u),w) * y,v5) = x. K(T(T(x,y),z) * u,w) = K(K(y,x) * (T(x,z) * u),w). K(K(x,y) * (T(y,z) * u),w) = K(T(T(y,x),z) * u,w). a(x,y,K(T(T(z,u * w),v5) * w,u)) = a(x,y,K(u,w * T(z,v5))). a(x,y,K(T(z,u) * w,v5)) != v6 | a(x,y,K(z * T(w,u),v5)) = v6. a(x,y,K(T(z,u * w) * T(w,v5),u)) = a(x,y,K(u,w * T(z,v5))). a(x,y,K(z * T(T(u,w),v5 * u),v5)) = a(x,y,K(v5,u * T(z,w))). a(x,y,K(z * T(T(u,w),v5),v5)) = a(x,y,K(v5,u * T(z,w))). a(x,y,K(z * T(u,w),v5)) = a(x,y,K(v5,u * T(z,w))). x != a(y,z,K(u,w * T(v5,v6))) | a(w * v5,z,K(u,y)) = x. a(x * y,z,K(u,w)) = a(w,z,K(y * T(x,v5),u)). a(x,y,K(z * T(u,w),v5)) = a(u * z,y,K(v5,x)). a(x,y,K(z * T(u,w),v5)) != v6 | a(x,y,K(T(z,w) * u,v5)) = v6. a(x,y,K(T(z,u) * w,v5)) = a(w * z,y,K(v5,x)). K(x,y) * a(z * u,w,K(x,y)) = K(x,L(y,w,u \ T(z,v5))). K(x,L(y,z,u \ T(w,v5))) = K(x,y) * a(w * u,z,K(x,y)). a(T(x,y) * z,u,K(w,v5)) = a(z * x,u,K(v5,w)). a(T(x,y) * z,x,K(u,w)) != v5 | a(w,z,K(T(x,y) \ z,u)) = v5. a(x,y,K(T(z,u) \ y,w)) = a(y * z,z,K(x,w)). a(x * y,y,K(z,u)) = a(z,x,K(T(y,w) \ x,u)). x != a(y,z,K(u \ w,v5)) | a(y,z,K(u * w,v5)) = x. a(x,y,K(T(z,u) * y,w)) = a(y * z,z,K(x,w)). a(x * y,y,K(z,u)) = a(z,x,K(T(y,w) * x,u)). x != a(y,z,K(T(u,w) * v5,v6)) | a(v5 * u,z,K(v6,y)) = x. a(x * y,x,K(z,u)) = a(x * y,y,K(u,z)). a(x * y,y,K(z,u)) = a(x * y,x,K(u,z)). a(x * y,x,K(z,u)) != w | a(z,y,K(u,y * x)) = w. x != K(y,z) * a(u,w,K(y,z)) | K(y,L(z,w,u)) = x. K(x,L(y,z,u * w)) = K(x,L(y,z,w \ T(u,v5))). K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,w * u)). K(x,L(y,z,u * T(w,v5))) = K(x,L(y,z,w * u)). K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,y \ T(u,z))) != v5 | K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)) = v5. K(x,T(y,z) \ ((u \ ((z * y) / z)) * w)) = K(x,L(((u \ ((z * y) / z)) \ ((z * y) / z)) \ w,u,y * u)). K(x,L(((y \ ((z * u) / z)) \ ((z * u) / z)) \ w,y,u * y)) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). K(x,L(y,z,T(u,w) * v5)) = K(x,L(y,z,u * v5)). K(x,L((y * (z / y)) / u,w,T(z,y) * w)) != v5 | K(x,w / (u * ((y * (z / y)) \ w))) = v5. K(x,y / (z * ((u * (w / u)) \ y))) = K(x,L((u * (w / u)) / z,y,w * y)). K(x,L((y * (z / y)) / u,w,z * w)) = K(x,w / (u * ((y * (z / y)) \ w))). K(x,L(T(y / z,z),u,y * u)) = K(x,u / (z * ((z * (y / z)) \ u))). K(x,L(y \ z,u,z * u)) = K(x,u / (y * ((y * (z / y)) \ u))). x != K(y,z / (u * ((u * w) \ z))) | K(y,L(T(w,u),z,u * z)) = x. K(x,L(T(y / z,z),u,z * u)) = K(x,L(z \ y,u,y * u)). K(x,L(y \ z,u,y * u)) = K(x,L(y \ z,u,z * u)). K(x,L(y \ z,u,z * u)) = K(x,L(y \ z,u,y * u)). K(x,L(T(y,(z * u) / z) \ w,y,u * y)) = K(x,T(u,z) \ ((y \ ((z * u) / z)) * w)). K(x,L(T(y,T(z,u)) \ w,y,z * y)) = K(x,T(z,u) \ ((y \ ((u * z) / u)) * w)). K(x,L(T(y,z) \ u,y,z * y)) = K(x,T(z,w) \ ((y \ ((w * z) / w)) * u)). x != K(y,T(z,u) \ ((w \ ((u * z) / u)) * v5)) | K(y,z \ ((w \ z) * v5)) = x. K(x,y \ ((z \ y) * u)) = K(x,L(T(z,y) \ u,z,y * z)). K(x,L(T(y,z) \ u,y,z * y)) = K(x,z \ ((y \ z) * u)). K(x,L(y,z,u)) != w | K(x,L(y,z \ u,u)) = w. K(x,L(T(y,z) \ u,y \ (z * y),z * y)) = K(x,z \ ((y \ z) * u)). K(x,L(T(y,z) \ u,T(z,y),z * y)) = K(x,z \ ((y \ z) * u)). K(x,y \ ((y \ z) \ u)) = K(x,y \ ((z \ y) * u)). K(x,y \ ((y \ (z \ 1)) \ u)) != w | K(x,L(T(z,y) * u,y,y * z)) = w. K(x,L(T(y,z) * u,z,z * y)) = K(x,z \ (((y \ 1) \ z) * u)). K(x,y \ ((y \ ((y * z) / y)) \ u)) != w | K(x,y \ ((z / y) \ u)) = w. K(x,y \ ((z / y) \ u)) = K(x,y \ ((((y * z) / y) \ y) * u)). K(x,y \ ((((y * z) / y) \ y) * u)) = K(x,y \ ((z / y) \ u)). K(x,y \ (z \ u)) = K(x,y \ (((y * z) \ y) * u)). K(x,y \ (((y * z) \ y) * u)) = K(x,y \ (z \ u)). K(x,y \ ((((z * u) / z) \ y) * w)) != v5 | K(x,y \ ((T(u,z) \ y) * w)) = v5. K(x,y \ ((T(z,y) \ y) * u)) = K(x,y \ ((z / y) \ u)). K(x,y \ ((T(z,u) \ u) * w)) != v5 | K(x,y \ ((u / z) * w)) = v5. K(x,y \ ((y / z) * u)) = K(x,y \ ((z / y) \ u)). K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). K(x,L(y \ z,u,y * u)) = K(x,u \ ((u / y) * z)). K(x,L(y \ z,u,y * u)) != w | K(x,L(y \ z,u,z * u)) = w. K(x,L(y \ z,u,z * u)) = K(x,u \ ((u / y) * z)). K(x,L(y \ z,u,u * z)) = K(x,u \ ((u / y) * z)). K(x,y \ ((y / (z \ 1)) * u)) != w | K(x,L(z * u,y,u * y)) = w. K(x,L(y \ z,u,u * z)) != w | K(x,((z / u) \ y) \ u) = w. K(x,((y / z) \ u) \ z) = K(x,z \ ((z / u) * y)). K(x,L(T(y,z) * u,z,y * z)) = K(x,z \ (((y \ 1) \ z) * u)). K(x,L(T(y * z,z \ 1) * u,z \ 1,R(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L(T(y * z,z \ 1) * u,z \ 1,L(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L(y,z \ 1,u)) != w | K(x,L(y,z,u)) = w. K(x,L(T(y * z,z \ 1) * u,z,L(y,z,z))) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L(y,z,L(u,w,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,L(T(y * z,z \ 1) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L(T(y * z,z * 1) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L(T(y * z,z) * u,z,y)) = K(x,(z \ 1) \ ((((y * z) \ 1) \ (z \ 1)) * u)). K(x,L((y * z) * u,y,z)) = K(x,(y \ 1) \ ((((z * y) \ 1) \ (y \ 1)) * u)). x != K(y,(z \ 1) \ ((u \ (z \ 1)) * w)) | K(y,z \ ((u \ z) * w)) = x. K(x,y \ ((((z * y) \ 1) \ y) * u)) = K(x,L((y * z) * u,y,z)). K(x,L((y * z) * u,y,z)) = K(x,y \ ((((z * y) \ 1) \ y) * u)). K(x,y \ ((((z * y) \ 1) \ y) * u)) != w | K(x,y / ((u \ 1) / z)) = w. K(x,y / ((z \ 1) / u)) = K(x,y \ (((u * y) * y) * z)). K(x,y \ (((z * y) * y) * u)) = K(x,y / ((u \ 1) / z)). K(x,y \ (((z * u) * u) * w)) != v5 | K(x,y \ ((u * (u * z)) * w)) = v5. K(x,y \ ((y * (y * z)) * u)) = K(x,y / ((u \ 1) / z)). K(x,y \ ((y * (y * z)) * u)) != w | K(x,y * (z * u)) = w. K(x,y * (z * u)) = K(x,y / ((u \ 1) / z)). K(x,y / ((z \ 1) / u)) = K(x,y * (u * z)). K(x,(T(y,z) \ u) / (((z / y) \ 1) / y)) != w | K(x,((u \ 1) * y) \ z) = w. K(x,((y \ 1) * z) \ u) = K(x,(T(z,u) \ y) * (z * (u / z))). K(x,(T(y,z) \ u) * (y * (z / y))) = K(x,((u \ 1) * y) \ z). K(x,(T(y,z) \ u) * T(z,y)) = K(x,((u \ 1) * y) \ z). K(x,(T(y,z) \ u) * T(z,y)) != w | K(x,(y \ u) * z) = w. K(x,(y \ z) * u) = K(x,((z \ 1) * y) \ u). K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). K(x,(y * (z \ 1)) \ u) = K(x,(T(y,z) \ z) * u). K(x,((y \ 1) * z) \ u) != w | K(x,(y \ z) \ u) = w. K(x,(y \ z) \ u) = K(x,(z \ y) * u). K(x,((y \ 1) * (T(T(y,z),z) \ u)) \ w) != v5 | K(x,y * (y * (u \ w))) = v5. K(x,y * (y * (z \ u))) = K(x,((T(T(y,w),w) \ z) \ y) * u). K(x,((T(T(y,z),z) \ u) \ y) * w) = K(x,y * (y * (u \ w))). K(x,((y \ 1) * z) \ T(u,z * y)) != w | K(x,u / ((y \ 1) * z)) = w. K(x,y / ((z \ 1) * u)) = K(x,(u \ z) * T(y,u * z)). K(x,(y \ z) * T(u,y * z)) = K(x,u / ((z \ 1) * y)). K(x,((y / z) \ u) \ z) != w | K(x,z \ ((z / u) * y)) = w. K(x,y \ ((y / z) * u)) = K(x,(z \ (u / y)) * 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)). x != K(y,(T(z,u) \ u) * w) | K(y,(u / z) * w) = x. K(x,(y / z) * u) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). K(x,L(y * (z \ (z \ u)),u,z)) = K(x,(y / z) * (z \ u)). K(x,(y * (z \ 1)) \ u) != w | K(x,(y / z) \ u) = w. K(x,(y / z) \ u) = K(x,(z / y) * u). K(x,L(T((y / z) \ u,w),v5,v6)) = K(R(x,v5,v6) * K(w,x),(z / y) * u). K(R(x,y,z) * K(u,x),(w / v5) * v6) = K(x,L(T((v5 / w) \ v6,u),y,z)). x != K(y,(z / u) * K(w,v5)) | K(y,z / (K(v5,w) * u)) = x. K(x,y / (K(z,u) * w)) = K(x,(w / y) \ K(u,z)). x \ y != K(z,(u / w) \ v5) | x * K(z,(w / u) * v5) = y. x * K(x,(y / z) * u) = T(x,(z / y) \ u). T(x,(y / z) \ u) != w | T(x,(z / y) * u) = w. T(x,(T(y,z) / z) * u) = T(x,(y \ z) \ u). T(x,(y \ z) * u) = T(x,(z \ y) \ u). T(x,(y \ z) \ u) = T(x,(z \ y) * u). T(x,(y \ z) \ u) != w | T(x,(z \ y) * u) = w. T(x,y \ z) = T(x,((u * y) \ u) * z). T(x,((y * z) \ y) * u) = T(x,z \ u). K(x,T(y,(z \ u) * w) / ((u \ z) \ w)) = K(x,((u \ z) \ w) \ y). T(x,y) = T(x,z \ (((u * z) \ u) \ y)). T(x,y \ (((z * y) \ z) \ u)) = T(x,u). T(x,((y * z) \ y) \ L(u,w,v5)) = T(x,z \ L(((y * z) \ y) \ (((y * z) \ y) \ u),w,v5)). T(x,y \ L(((z * y) \ z) \ (((z * y) \ z) \ u),w,v5)) = T(x,((z * y) \ z) \ L(u,w,v5)). K(x,L(y * z,u,z * u)) = K(x,((y \ 1) \ (z / u)) * u). K(x,y / (z / (1 / u))) = K(x,((z / (u \ 1)) / y) \ K(u,u \ 1)). K(x,((y / (z \ 1)) / u) \ K(z,z \ 1)) = K(x,u / (y / (1 / z))). K(x,(y \ z) * T(u,y * z)) != w | K(x,u * (y \ z)) = w. K(x,y * (z \ u)) = K(x,y / ((u \ 1) * z)). K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). K(x,L((y / z) * u,y,z)) = K(x,y * (z \ u)). K(x,y / ((z \ 1) * u)) != w | K(x,y / (z \ u)) = w. K(x,y / (z \ u)) = K(x,y * (u \ z)). K(x,(y * z) / (y * u)) = K(x,(y \ z) * (u \ y)). K(x,(y * z) / (y * (u \ z))) != w | K(x,z \ (((z / y) * u) * y)) = w. K(x,y \ (((y / z) * u) * z)) = K(x,(z \ y) * ((u \ y) \ z)). x != K(y,((z \ 1) \ u) * w) | K(y,(z * u) * w) = x. 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,((y \ z) \ y) * u) = K(x,y * (y * (z \ u))). K(x,((y \ z) \ y) * u) != w | K(x,(y * (y / z)) * u) = w. K(x,(y * (y / z)) * u) = K(x,y * (y * (z \ u))). K(x,(y * (y / z)) * ((y / z) \ u)) != w | K(x,z * ((z \ y) * u)) = w. K(x,y * ((y \ z) * u)) = K(x,z * (z * (y \ ((z / y) \ u)))). K(x,y * (y * (z \ ((y / z) \ u)))) = K(x,z * ((z \ y) * u)). x * K(y,(z \ x) * ((u \ x) \ z)) = ((x / z) * K(y,u)) * z. K(x,y * (y * (z \ ((y / u) \ w)))) != v5 | K(x,z \ (((1 / y) / u) \ w)) = v5. K(x,y \ (((1 / z) / y) \ u)) = K(x,y * ((y \ z) * u)). K(x,y \ ((z / y) \ u)) != w | K(x,y \ ((y / z) * u)) = w. K(x,y \ ((y / (1 / z)) * u)) = K(x,y * ((y \ z) * u)). K(x,y \ ((y / z) * u)) != w | K(x,(z \ (u / y)) * y) = w. K(x,((1 / y) \ (z / u)) * u) = K(x,u * ((u \ y) * z)). K(x,((1 / y) \ z) * u) != w | K(x,(y * z) * u) = w. K(x,(y * (z / u)) * u) = K(x,u * ((u \ y) * z)). K(x,(y * (z / u)) * u) != w | K(x,L(y * z,u,z * u)) = w. K(x,L(y * z,u,z * u)) = K(x,u * ((u \ y) * z)). K(x,L(y * (z \ (z \ u)),(z \ 1) \ 1,z \ T(u,z))) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). x * K(y,(z \ x) * (T(1 / (u / x),u) \ z)) = ((x / z) * K(y,(1 / (u / x)) \ x)) * z. K(x,y / (z \ u)) != w | K(x,y * (u \ z)) = w. K(x,T(y,(z \ u) * w) * (w \ (u \ z))) = K(x,((u \ z) \ w) \ y). K(x,((y / (z \ 1)) / u) \ 1) = K(x,u / (y / (1 / z))). K(x,y / (z / (1 / u))) != w | K(x,y / (z / (u \ 1))) = w. K(x,T(y,(z \ u) * w) * v5) != v6 | K(x,T(y,u * (z * w)) * v5) = v6. K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,((z \ u) \ w) \ y). x != K(y,(z \ u) \ w) | K(y,(u \ z) * w) = x. K(x,(y \ (z \ u)) * w) = K(x,T(w,z * (u * y)) * (y \ (z \ u))). K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,(w \ (z \ u)) * y). K(x,L(T((y / z) * u,w),v5,v6)) = K(x,L(T((z / y) \ u,w),v5,v6)). K(x,L(T((y / z) \ u,w),v5,v6)) = K(x,L(T((z / y) * u,w),v5,v6)). K(x,L(y / (z / u),w,v5)) = K(x,L(T((u / z) * y,u * z),w,v5)). K(x,L(T((y / z) * u,y * z),w,v5)) = K(x,L(u / (z / y),w,v5)). K(x,L(y * (z / u),w,v5)) = K(x,L(y / (u / z),w,v5)). K(x,L(y / (z / u),w,v5)) = K(x,L(y * (u / z),w,v5)). K(x,L(y / (z \ u),w,v5)) = K(x,L(y * (z / T(u,z \ u)),w,v5)). K(x,L(y * (z / T(u,z \ u)),w,v5)) = K(x,L(y / (z \ u),w,v5)). K(x,L(y * (z / T(u,z \ u)),w,v5)) != v6 | K(x,L(y * (u \ z),w,v5)) = v6. K(x,L(y * (z \ u),w,v5)) = K(x,L(y / (u \ z),w,v5)). K(x,L(y / (z \ u),w,v5)) = K(x,L(y * (u \ z),w,v5)). K(x,L(y / ((z \ u) \ z),z,z * u)) != w | K(x,(y * (u / z)) / z) = w. K(x,(y * (z / u)) / u) = K(x,L(y * (u \ (u \ z)),u,u * z)). K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,(y * (u / z)) / z). K(x,L((y / z) / (u \ w),y,z)) != v5 | K(x,y / ((u \ 1) * (u \ (((1 / u) \ w) * z)))) = v5. K(x,y / ((z \ 1) * (z \ (((1 / z) \ u) * w)))) = K(x,L((y / w) * (u \ z),y,w)). K(x,L((y / z) * (u \ w),y,z)) = K(x,y / ((w \ 1) * (w \ (((1 / w) \ u) * z)))). K(x,L((y / z) * u,y,z)) != w | K(x,y * (z \ u)) = w. K(x,y * (z \ (u \ w))) = K(x,y / ((w \ 1) * (w \ (((1 / w) \ u) * z)))). K(x,y / ((z \ 1) * (z \ (((1 / 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,T(w,z * (y * u)) * (u \ (z \ y))). K(x,T(y,z * (u * w)) * (w \ (z \ u))) = K(x,((u \ z) * w) \ y). K(x,T(y,z * (u * w)) * (w \ (z \ u))) != v5 | K(x,(w \ (z \ u)) * y) = v5. K(x,(y \ (z \ u)) * w) = K(x,((u \ z) * y) \ w). K(x,((y \ z) * u) \ w) = K(x,(u \ (z \ y)) * w). K(x,((y \ z) * u) \ (y \ (z * u))) != w | a(u,z,K(y,x)) = w. a(x,y,K(z,u)) = K(u,(x \ (y \ z)) * (z \ (y * x))). K(x,(y \ (z \ u)) * (u \ (z * y))) = a(y,z,K(u,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(y,z,K(x,u)). a(x,y,K(z,y * u)) = a(y,x,K(u,z)). (K(x,y) * z) / (z * a(u,y,K(z,x))) = K(x,L(y,u,u * z)). K(x,L(y,z,z * u)) = (K(x,y) * u) / (u * a(z,y,K(u,x))). K(x,L(y,z,z * u)) = (K(x,y) * u) / L(u,y,K(x,z)). x != (y * z) / L(z,u,K(w,v5)) | y * a(z,u,K(w,v5)) = x. K(x,y) * a(z,y,K(x,u)) = K(x,L(y,u,u * z)). K(x,L(y,z,z * u)) = K(x,y) * a(u,y,K(x,z)). K(x,L(y,z,u * (u * w))) != v5 | K(x,L(y,z,w)) = v5. K(x,L(y,z,u)) = K(x,y) * a(z * u,y,K(x,z)). K(x,y) * a(z * u,y,K(x,z)) = K(x,L(y,z,u)). K(x,y) * a(z,y,K(x,u)) = K(x,L(y,z,u)). K(x,y) * a(z * u,y,K(x,z)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(x,L(y,z * u,z)). K(x,L(y,z * u,z)) = K(x,L(y,z,u)). K(x,y) * z != K(x,L(y,u,w)) | a(w,u,K(y,x)) = z. a(x,y,K(z,u)) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(u,x,K(y,z)). a(x,y,K(z,u)) = a(x,z,K(y,u)). K(x,y) * a(z,x,K(u,y)) = K(x,L(y,u,z)). K(x,(y * (z / y)) / (u / y)) = K(x,L((z * T(y,y \ z)) / u,y,z / y)). K(x,L((y * T(z,z \ y)) / u,z,y / z)) = K(x,(z * (y / z)) / (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)). K((x * y) \ ((1 / x) \ z),L(u,x * y,x)) != w | K((x * ((x \ 1) * y)) \ z,u) = w. K((x * ((x \ 1) * y)) \ z,u) = K((x * y) \ ((1 / x) \ z),L(u,x,y)). K((x * y) \ ((1 / x) \ z),L(u,x,y)) = K((x * ((x \ 1) * y)) \ z,u). K(x,L(y,z,u)) = K(x,L(y,u,u \ z)). K(x,L(y,z,z \ u)) = K(x,L(y,u,z)). K(x,L(y,z * u,u)) = K(x,L(y,u,z)). K(x,y / (z / u)) = K(x,L((y * u) / z,u,y)). K(x,L((y * z) / u,z,y)) = K(x,y / (u / z)). K(x,L(y,z,u)) = K(x,L(y,T(u,w),z)). K(x,L(y,T(z,u),w)) = K(x,L(y,w,z)). x != K(y,L(z,u,w)) | K(y,L(z,u \ w,w)) = x. K(x,L(y,z \ u,u)) = K(x,L(y,u,z)). x != K(y,L((z * u) \ w,u,z)) | K(y,u \ (z \ w)) = x. K(x,y \ (z \ u)) = K(x,L((z * y) \ u,z,y)). K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). x != K((y \ z) \ u,L(w,z,y)) | K(z \ (y * u),w) = x. 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). x != K(y,L(T(z,u) \ w,z,u)) | K(y,(z * u) \ (u * w)) = x. K(x,(y * z) \ (z * u)) = K(x,L(T(y,z) \ u,z,y)). K(x,L(T(y,z) \ u,z,y)) = K(x,(y * z) \ (z * u)). K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u)) * (u * z) = (K(x,y) * u) * z. K(x \ ((x \ y) \ z),u) = K(((x \ y) * x) \ z,L(u,y,x)). K(((x \ y) * x) \ z,L(u,y,x)) = K(x \ ((x \ y) \ z),u). K(x,L(T(y,z) \ u,y,y \ z)) != w | K(x,z \ ((y \ z) * u)) = w. 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((y * (z \ 1)) \ (z * u),y * z,z)) != w | K(x,T(y * (z \ (1 / z)),z) \ u) = w. K(x,T(y * (z \ (1 / z)),z) \ u) = K(x,L((y * (z \ 1)) \ (z * u),z,y)). K(x,L((y * (z \ 1)) \ (z * u),z,y)) = K(x,T(y * (z \ (1 / z)),z) \ u). K(((x * (y / x)) * x) \ z,L(u,T(x,x \ y),y)) != w | K(T(x,x \ y) \ (y \ z),u) = w. K(T(x,x \ y) \ (y \ z),u) = K(((x * (y / x)) * x) \ z,L(u,y,x)). K(((x * (y / x)) * x) \ z,L(u,y,x)) = K(T(x,x \ y) \ (y \ z),u). K(x,L(y,z,u)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u \ z)) = K(x,L(y,z,u)). K((x \ y) \ (y \ T(z,x)),L(u,x \ y,y)) != w | K(z / (y * (x \ y)),u) = w. K(x / (y * (z \ y)),u) = K((z \ y) \ (y \ T(x,z)),L(u,y,z)). K((x \ y) \ (y \ T(z,x)),L(u,y,x)) = K(z / (y * (x \ y)),u). K(x,L(y,z / u,z)) = K(x,L(y,z,u)). K(T(x,x \ y) \ z,L(u,y,x \ y)) != w | K(y \ ((x \ y) * z),u) = w. K(x \ ((y \ x) * z),u) = K(T(y,y \ x) \ z,L(u,x,y)). K(T(x,x \ y) \ z,L(u,y,x)) = K(y \ ((x \ y) * z),u). K((x / y) \ (T(x,z) \ u),L(w,x / y,x)) != v5 | K((x * (T(x,z) / y)) \ u,w) = v5. K((x * (T(x,y) / z)) \ u,w) = K((x / z) \ (T(x,y) \ u),L(w,x,z)). K((x / y) \ (T(x,z) \ u),L(w,x,y)) = K((x * (T(x,z) / y)) \ u,w). K(x,L(y,T(z,u),w)) != v5 | K(x,L(y,z,w)) = v5. K(x,L((y * z) / u,z,y)) != w | K(x,z / (u / T(y,T(z,v5)))) = w. K(x,y / (z / T(u,T(y,w)))) = K(x,u / (z / y)). K(x,L((y * z) \ u,y,z)) != w | K(x,T(y,z) \ (z \ u)) = w. K(x,T(y,z) \ (z \ u)) = K(x,z \ (y \ u)). K(x,T(y,z \ u) \ T(z,u)) = K(x,(z \ u) \ (y \ u)). K(x,T(T(y,z),z) \ u) != w | K(x,y \ u) = w. K(x,y \ (z \ u)) = K(x,z \ (T(y,z) \ u)). K(x,y \ (T(z,y) \ u)) = K(x,z \ (y \ u)). x \ y != K(z,T(u,w) \ (w \ v5)) | x * K(z,w \ (u \ v5)) = y. x * K(x,y \ (z \ u)) = T(x,T(z,y) \ (y \ u)). T(x,T(y,z) \ (z \ u)) = x * K(x,z \ (y \ u)). K(x,(y \ (y \ 1)) \ ((z \ (y \ 1)) \ ((y * y) \ u))) = K(x,(z \ y) \ ((y \ (y \ 1)) \ u)). K(x,L(y,z,z * u)) != w | K(x,L(y,u,z)) = w. (K(x,y) * z) * T(u,z) = (K(x,y) * u) * z. (K(x,y) * z) * u != w * (z * u) | K(x,L(y,u,z)) = w. T((K(x,y) * z) * u,K(x,y)) = z * (u * K(x,y)). K(x,y / (z / T(u,T(w,v5)))) != v6 | K(x,y / (z / T(u,w))) = v6. K(x,y / (z / T(u,y))) = K(x,u / (z / y)). K(x,(1 / (y / z)) / (1 / T(u,1 / (y / z)))) = K(x,u / ((y / z) * K(y \ z,z \ y))). 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)) != w | T(x,z \ (y \ u)) = w. T(x,(y \ z) \ (T(u,z * y) \ w)) = T(x,u \ ((y \ z) \ w)). T(x,T(y \ 1,z) \ u) != w | T(x,T(y,z) * u) = w. T(x,T(y,z) * (z \ u)) = T(x,z \ ((y \ 1) \ u)). T(x,y \ ((z \ 1) \ u)) = T(x,T(z,y) * (y \ u)). T(x,T(T(y,z),z) \ u) != w | T(x,y \ u) = w. T(x,y \ (z \ u)) = T(x,z \ (T(y,z) \ u)). T(x,y \ (T(z,y) \ u)) = T(x,z \ (y \ u)). T(x,T(y,L(z,u,w) \ z) \ L(z,u,w)) = T(x,(L(z,u,w) \ z) \ (y \ z)). T(x,L(y,z,z) \ (T(u,L(y,z,z)) \ y)) = T(x,u \ a(z,z,y)). T((K(x,y) * z) * K(x,y),K(x,y)) \ u = (K(x,y) * K(x,y)) \ (z \ u). x != T(y,T(z \ u,w) * (w \ v5)) | T(y,(z \ u) * (T(w,u * z) \ v5)) = x. T(x,(y \ z) * (T(u,z * y) \ w)) = T(x,u \ (((y \ z) \ 1) \ w)). x != T(y,T(z,z \ u) * ((z \ u) \ w)) | T(y,z * ((u / z) \ w)) = x. T(x,y * ((z / y) \ u)) = T(x,(y \ z) \ ((y \ 1) \ u)). T(x,(y \ z) \ ((y \ 1) \ u)) = T(x,y * ((z / y) \ u)). T(x,L(y,z,u) \ ((y \ 1) \ w)) = T(x,y * (L(y,z,u) \ w)). K(x,L(T(y,z) \ u,z,y)) != w | K(x,(y * z) \ (z * u)) = w. K(x,(y * z) \ (z * u)) = K(x,z \ ((y \ z) * u)). K(x,(y * z) \ (z * (z * u))) != w | K(x,(T(z,y) \ y) \ u) = w. K(x,(T(y,z) \ z) \ u) = K(x,y \ ((z \ y) * (y * u))). K(x,(T(y,z) * z) \ u) != w | K(x,(z * y) \ u) = w. K(x,(y * z) \ (y * u)) = K(x,y \ ((T(z,y) \ y) * u)). K(x,y \ ((T(z,y) \ y) * u)) = K(x,(y * z) \ (y * u)). x \ y != K(z,(u * w) \ (w * v5)) | x * K(z,w \ ((u \ w) * v5)) = y. x * K(x,y \ ((z \ y) * u)) = T(x,(z * y) \ (y * u)). K(x,(y * z) \ u) = K(x,z \ ((y \ z) * (z \ u))). K(x,y \ ((z \ y) * (y \ u))) = K(x,(z * y) \ u). K(x,(y * (z \ 1)) \ (z * ((1 / z) * u))) = K(x,(z \ 1) \ ((y \ (z \ 1)) * (z * u))). K(x,y \ (((y * z) \ y) * u)) != w | K(x,y \ (z \ u)) = w. K(x,y \ (z \ (y \ u))) = K(x,((y * z) * y) \ u). K(x,((y * z) * y) \ u) = K(x,y \ (z \ (y \ u))). K(x,((y * z) * y) \ u) != w | K(x,(y * (z * y)) \ u) = w. K(x,(y * (z * y)) \ u) = K(x,y \ (z \ (y \ u))). x \ y != K(z,(u * (w * u)) \ v5) | x * K(z,u \ (w \ (u \ v5))) = y. x * K(x,y \ (z \ (y \ u))) = T(x,(y * (z * y)) \ u). T(x,(y \ z) \ (y \ u)) != w | T(x,y \ ((z / y) \ u)) = w. T(x,(y / z) \ (z \ u)) != w | T(x,z \ ((z \ y) \ u)) = w. T(x,y \ (T(z,y) \ u)) != w | T(x,z \ (y \ u)) = w. T(x,(y \ z) \ (T(u,y * z) \ w)) != v5 | T(x,u \ ((y \ z) \ w)) = v5. T(x,(y * (z \ y)) \ (T(u,z) \ w)) != v5 | T(x,u \ ((y * (z \ y)) \ w)) = v5. K(x,T(y,z * u) \ T(z,u)) = K(x,(z \ u) \ (y \ u)). T(x,(y \ z) \ ((y \ 1) \ u)) != w | T(x,((y \ 1) * z) \ (y * u)) = w. T(x,((y \ 1) * z) \ (y * u)) = T(x,y * ((z / y) \ u)). T(x,(y \ z) \ u) = T(x,y * ((z / y) \ ((y \ 1) * u))). T(x,y * ((z / y) \ ((y \ 1) * u))) = T(x,(y \ z) \ u). K(x,(T(y,z) \ z) \ u) != w | K(x,(z / y) \ u) = w. K(x,(y / z) \ u) = K(x,z \ ((y \ z) * (z * u))). K(x,y \ ((z \ y) * (y * u))) = K(x,(z / y) \ u). K(x,y \ ((z \ y) * u)) = K(x,(z / y) \ (y \ u)). K(x,(y / z) \ (z \ u)) = K(x,z \ ((y \ z) * u)). K(x,(y / z) \ (z \ (u * ((1 / y) \ y)))) = K(x,z \ T(((1 / y) \ z) * u,y * y)). K(x,y \ ((y / z) * u)) = K(x,(y * z) \ (y * u)). K(x,(y * z) \ (y * u)) = K(x,y \ ((y / z) * u)). x \ y != K(z,(u * w) \ (u * v5)) | x * K(z,u \ ((u / w) * v5)) = y. x * K(x,y \ ((y / z) * u)) = T(x,(y * z) \ (y * u)). (x * K(y,z \ ((z / u) * w))) \ x = K((z * u) \ (z * w),y). T(x,y \ ((z \ y) * u)) = T(x,(z * y) \ (y * u)). T(x,(y * z) \ (z * u)) = T(x,z \ ((y \ z) * u)). T(x,(y * z) \ (z * (z * u))) != w | T(x,(T(z,y) \ y) \ u) = w. T(x,(T(y,z) \ z) \ u) = T(x,y \ ((z \ y) * (y * u))). T(x,y \ (z \ (y \ u))) = T(x,(y * (z * y)) \ u). T(x,(y * (z * y)) \ u) = T(x,y \ (z \ (y \ u))). T(x,((y \ 1) * (z * (y \ 1))) \ (u * (1 / y))) = T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,((y \ 1) * (z * (y \ 1))) \ (u * (1 / y))). K(x,y \ (z * T(u / z,y))) = K(x,(u \ z) \ (y \ z)). T(x,((y \ 1) * z) \ L(u,y,y)) = T(x,y * ((z / y) \ ((y \ 1) * u))). T(x,y * ((z / y) \ ((y \ 1) * u))) = T(x,((y \ 1) * z) \ L(u,y,y)). T(x,(y * z) \ (y * u)) != w | T(x,y \ ((y / z) * u)) = w. T(x,y \ ((z \ y) * (y * u))) != w | T(x,(z / y) \ u) = w. K(x,y \ (z * T(u * K(z,u),y))) = K(x,((z * u) \ z) \ (y \ z)). K(x,((y * z) \ y) \ (u \ y)) = K(x,u \ (y * T(z * K(y,z),u))). K(((x \ y) * x) \ z,u) != w | K(T(y,x) \ z,u) = w. K(T(x,y) \ z,L(u,x,y)) = K(y \ ((y \ x) \ z),u). K(T(x,x \ y) \ z,u) != w | K(T(x,y) \ z,u) = w. K(T(x,y) \ z,L(u,y,x)) = K(y \ ((x \ y) * z),u). K(T(x,y) \ z,L(u,x,y)) = K(y \ ((x \ y) * z),u). K(T(x,y) \ z,L(u,x,y)) != w | K(y \ ((y \ x) \ z),u) = w. K(x \ ((x \ y) \ z),u) = K(x \ ((y \ x) * z),u). K(T(x,y) \ z,L(u,x,y)) != w | K((x / y) \ (y \ z),u) = w. K((x / y) \ (y \ z),u) = K(y \ ((x \ y) * z),u). K(T(x,y) \ z,L(u,x,y)) != w | K((x * y) \ (y * z),u) = w. K((x * y) \ (y * z),u) = K(y \ ((x \ y) * z),u). K(x \ ((T(x,y) \ z) \ u),w) = K(x \ (((K(y,x) * z) \ x) * u),w). K(x \ (((K(y,x) * z) \ x) * u),w) = K(x \ ((T(x,y) \ z) \ u),w). T(x,y \ ((z \ y) * u)) != w | T(x,(z / y) \ (y \ u)) = w. T(x,(y / z) \ (z \ u)) = T(x,z \ ((y \ z) * u)). T(x,y \ ((y \ z) \ u)) = T(x,y \ ((z \ y) * u)). T(T(x,K(y,z * u)),y \ ((y \ u) \ z)) != w | T(x,((y \ u) \ z) / y) = w. T(x,((y \ z) \ u) / y) = T(T(x,K(y,u * z)),y \ ((z \ y) * u)). T(T(x,K(y,z * u)),y \ ((u \ y) * z)) = T(x,((y \ u) \ z) / y). T(x,R(y,z,y) \ (T(u,T(y * z,y) * z) \ w)) = T(x,u \ ((z \ T(y * z,y)) \ w)). T(x,(K(y,z) * u) \ (T(w,u * K(z,y)) \ v5)) = T(x,w \ ((K(z,y) \ u) \ v5)). T(x,T(y,z * K(u,w)) \ (T(v5,T(y * z,K(u,w)) * T(z,K(u,w))) \ v6)) = T(x,v5 \ ((T(z,K(u,w)) \ T(y * z,K(u,w))) \ v6)). K(x \ ((x / y) * z),u) = K((x * y) \ (x * z),u). K((x * y) \ (x * z),u) = K(x \ ((x / y) * z),u). K((x * y) \ (x * z),u) != w | K(x \ ((x / y) * z),u) = w. K((x * y) \ z,u) != w | K((T(y,x) * x) \ z,u) = w. K((T(x,y) * y) \ (y * z),u) = K(y \ ((y / x) * z),u). K((x * y) \ (x * z),u) = K((1 / x) \ (((1 / x) / y) * z),u). K((1 / x) \ (((1 / x) / y) * z),u) = K((x * y) \ (x * z),u). K((x * y) \ (y * z),u) != w | K(y \ ((x \ y) * z),u) = w. K(x \ ((T(y,x) \ x) * z),u) = K(x \ ((x / y) * z),u). K(x \ ((y \ T(x,y)) * z),u) = K(x \ ((x / y) * z),u). K((1 / x) \ (((1 / x) / (y * (z * z))) * u),w) = K((z * z) \ ((x * y) \ (x * u)),w). K((1 / x) \ (((1 / x) / y) * z),u) != w | K(x \ ((x / y) * z),u) = w. K(x \ (y * (x \ T(z,y))),u) = K(z / (x * (y \ x)),u). K(x \ (L(x,y,y) * (x \ T(z,L(x,y,y)))),u) = K(z / (x * a(y,y,x)),u). K(x \ (y * (x \ z)),u) = K((z * K(y,z)) / (x * (y \ x)),u). K((x * K(y,x)) / (z * (y \ z)),u) = K(z \ (y * (z \ x)),u). K(T(x,y) / (z * (y \ z)),u) = K(z \ (y * (z \ x)),u). K((x * (y \ x)) \ z,u) = K(x \ (y * (x \ z)),u). K(x \ (y * (x \ z)),u) != w | K((x * (y \ x)) \ z,u) = w. (x * y) / (K(z \ (u * (z \ w)),x) * y) = T(x,(z * (u \ z)) \ w). K(x \ (y * (x \ z)),T(u,y)) != w | K(z / (x * (y \ x)),u) = w. T(x,L(y,z,z) \ (T(u,y) \ y)) = T(x,u \ a(z,z,y)). T(x,L(y,z,z) \ (y / u)) = T(x,u \ a(z,z,y)). x != K(y,z \ (u * T(w * K(v5,w),v6))) | K(y,z \ (u * T(T(w,v5),v6))) = x. K(x,y \ (z * T(T(u,z),y))) = K(x,((z * u) \ z) \ (y \ z)). K(x,((y * z) \ y) \ (u \ y)) = K(x,u \ (y * T(T(z,y),u))). K(x,((y * z) \ y) \ (u \ y)) = K(x,u \ (T(z,u) * y)). K(x \ ((y \ T(x,z)) * u),w) = K(x \ ((T(x,z) \ y) \ u),w). K(x \ ((T(x,y) \ z) \ u),w) = K(x \ ((z \ T(x,y)) * u),w). T(x,y \ (z * (y \ u))) = T(x,(y * (z \ y)) \ u). T(x,(y * (z \ y)) \ u) = T(x,y \ (z * (y \ u))). T(x,(y * (z \ y)) \ u) != w | T(x,y \ (z * (y \ u))) = w. T(T(x,K(y,z)),y / (u * (z \ u))) != w | T(x,u \ (z * (u \ y))) = w. K((x * y) \ ((x \ 1) \ z),L(u,x,y)) = K((x * ((x \ 1) * y)) \ z,u). K(((x * y) * x) \ z,u) != w | K((x * (y * x)) \ z,u) = w. K((x * ((y / x) * x)) \ z,L(u,y,x)) = K(T(x,x \ y) \ (y \ z),u). K((x / y) \ z,L(u,x,y)) != w | K(x \ (T(y,x) * z),u) = w. K(x \ (T(y,x) * (T(x,z) \ u)),w) = K((x * (T(x,z) / y)) \ u,w). T(x,((y / z) \ z) \ (T(u,y) \ w)) != v5 | T(x,u \ (((y / z) \ z) \ w)) = v5. T(x,(y \ z) * (T(u,z * y) \ w)) != v5 | T(x,u \ ((z \ y) \ w)) = v5. T(x,y * ((z / y) \ ((y \ 1) * u))) != w | T(x,(y \ z) \ u) = w. T(x,(y \ z) \ u) = T(x,((y \ 1) * z) \ L(u,y,y)). T(x,((y \ 1) * z) \ L(u,y,y)) = T(x,(y \ z) \ u). T(x,y \ L(z,u,u)) = T(x,(u \ ((u \ 1) \ y)) \ z). T(x,(y \ ((y \ 1) \ z)) \ u) = T(x,z \ L(u,y,y)). T(x,y / (z \ ((z \ 1) \ u))) = T(x,u \ L(T(y,u),z,z)). T(x,y \ L(T(z,y),u,u)) = T(x,z / (u \ ((u \ 1) \ y))). T(x,y / (z \ ((z \ 1) \ u))) != w | T(x,L(y,z,z) / u) = w. K((x * y) \ ((x \ 1) \ z),L(u,x,y)) = K(L(y,x,x) \ z,u). K((x * y) \ z,L(u,x,y)) != w | K(x \ (T(y,x) \ z),u) = w. K(x \ (T(y,x) \ ((x \ 1) \ z)),u) = K(L(y,x,x) \ z,u). K((x * y) \ z,L(u,y,x)) = K(T(x,x \ y) \ (y \ z),u). K(T(x,x \ y) \ (y \ z),u) = K((x * y) \ z,L(u,y,x)). x != K((y * z) \ u,L(w,z,y)) | K(z \ (y \ u),w) = x. K(x \ (y \ z),u) = K(T(y,y \ x) \ (x \ z),u). K(T(x,x \ y) \ (y \ z),u) = K(y \ (x \ z),u). K(T(x,y) \ (y \ z),u) = K(y \ (x \ z),u). K((x / y) \ (x \ z),u) = K(x \ ((y \ x) \ z),u). K(T(T(x,y),y) \ z,u) != w | K(x \ z,u) = w. K(x \ (y \ z),u) = K(y \ (T(x,y) \ z),u). K(x \ (T(y,x) \ z),u) = K(y \ (x \ z),u). K((x \ y) \ (x \ z),u) = K(x \ ((y / x) \ z),u). K(x \ (T(y,x) \ ((x \ 1) \ z)),u) != w | K(L(y,x,x) \ z,u) = w. K(L(x,y,y) \ z,u) = K(x \ (y \ ((y \ 1) \ z)),u). K(x \ (y \ ((y \ 1) \ z)),u) = K(L(x,y,y) \ z,u). K(x \ ((T(x,y) \ y) \ z),u) = K((y / T(x,y)) \ (x \ z),u). K((x / T(y,x)) \ (y \ z),u) = K(y \ ((T(y,x) \ x) \ z),u). K((x / y) \ (x \ T(z,(y \ x) \ z)),u) = K(x \ ((z * ((y \ x) \ z)) / z),u). x != K(y \ ((T(y,z) \ u) \ w),v5) | K(y \ ((u \ T(y,z)) * w),v5) = x. K(x \ ((y \ T(x,y)) * z),u) = K((y / T(x,y)) \ (x \ z),u). K((x / T(y,x)) \ (y \ z),u) = K(y \ ((x \ T(y,x)) * z),u). x != K(y \ ((z \ T(y,z)) * u),w) | K(y \ ((y / z) * u),w) = x. K(x \ ((x / y) * z),u) = K((y / T(x,y)) \ (x \ z),u). K((x / T(y,x)) \ (y \ z),u) = K(y \ ((y / x) * z),u). K((x / T(y,x)) \ z,u) != w | K((y \ x) \ z,u) = w. K((x \ y) \ (x \ z),u) = K(x \ ((x / y) * z),u). K((x \ y) \ (x \ z),u) != w | K(x \ ((y / x) \ z),u) = w. K(x \ ((y / x) \ z),u) = K(x \ ((x / y) * z),u). (x * y) / (K(z \ ((z / u) * w),x) * y) = T(x,(z \ u) \ (z \ w)). (K(x \ ((x / y) * z),u) * w) \ w = K(u,T((x \ y) \ (x \ z),w)). K(x \ ((x \ (y \ ((1 / y) \ x))) \ z),u) = K(x \ ((x / (y \ ((1 / y) \ x))) * z),u). T(x,y \ ((y / z) * u)) = T(x,(y \ z) \ (y \ u)). T(x,(y \ z) \ (y \ u)) = T(x,y \ ((y / z) * u)). T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). T(x * (y \ ((1 / y) \ z)),K(y \ ((1 / y) \ z),z)) = (y \ ((1 / y) \ z)) * T(x,y \ ((y / 1) * z)). K(x,T((y \ z) \ (y \ u),w)) != v5 | K(x,T(y \ ((y / z) * u),w)) = v5. (K(x,y) * (K(x,y) * z)) \ u = (K(x,y) * K(x,y)) \ (z \ u). x != (K(y,z) * K(u,w)) \ v5 | K(w,u) * (K(z,y) * v5) = x. K(x,y) * (K(x,y) * (z \ u)) = (K(y,x) * (K(y,x) * z)) \ u. (K(x,y) * (K(x,y) * z)) \ u = K(y,x) * (K(y,x) * (z \ u)). (x * (T(T(x,y),y) \ z)) \ u = K(x,y) * (K(x,y) * (z \ u)). x * (T(T(x,y),y) \ (z \ u)) = (y * (T(T(y,x),x) \ z)) \ u. (x * (T(T(x,y),y) \ z)) \ u = y * (T(T(y,x),x) \ (z \ u)). (x * (T(T(x,y),y) \ z)) \ u != w | z \ (y * (T(T(y,x),x) \ u)) = w. x \ (y * (T(T(y,z),z) \ u)) = y * (T(T(y,z),z) \ (x \ u)). ((K(x,y) \ 1) * z) \ u = y * (T(T(y,x),x) \ ((K(x,y) * z) \ u)). x * (T(T(x,y),y) \ ((K(y,x) * z) \ u)) = ((K(y,x) \ 1) * z) \ u. x * (T(T(x,y),y) \ (K(x,y) * ((y \ x) \ z))) = ((K(y,x) \ 1) * (y \ x)) \ z. K(x,L((y * T(z,z \ y)) / u,z,z \ y)) = K(x,(z * (y / z)) / (u / z)). K(x,y * (z \ (y * u))) = K(x,T(z * (y \ (1 / y)),y) \ u). K(x,T(y * (z \ (1 / z)),z) \ u) = K(x,z * (y \ (z * u))). K(x,(y \ (z * (y \ 1))) \ u) = K(x,y * (z \ (y * u))). T(x,y \ (z * (y \ (T(u,z) \ w)))) != v5 | T(x,u \ ((y * (z \ y)) \ w)) = v5. K(x \ (L(x,y,y) * (x \ T(z,x))),u) = K(z / (x * a(y,y,x)),u). K(x \ (x \ (y * L(x,z,z))),u) = K(y / (x * a(z,z,x)),u). K(x \ (x \ (y * z)),u) != w | K(y * ((x * x) \ z),u) = w. K(x * ((y * y) \ L(y,z,z)),u) = K(x / (y * a(z,z,y)),u). K(x * L(1 / y,z,z),u) = K(x / (y * a(z,z,y)),u). K(x / (y * a(z,z,y)),u) = K(x * L(1 / y,z,z),u). K(x / (y * a(z,z,y)),u) != w | K(x * L(y \ 1,z,z),u) = w. K(x,L((y * T(z,z \ y)) / u,y,z)) = K(x,(z * (y / z)) / (u / z)). K(x,y / (z / T(u,u \ y))) = K(x,(u * (y / u)) / (z / u)). K(x,(y * (z / y)) / (u / y)) = K(x,z / (u / T(y,y \ z))). x != K(y,z / (u / T(w,w \ v5))) | K(y,z / (u / T(w,v5))) = x. K(x,y / (z / T(u,y))) = K(x,(u * (y / u)) / (z / u)). K(x,(y * (z / y)) / (u / y)) = K(x,z / (u / T(y,z))). x != K(y,z / (u / T(w,z))) | K(y,w / (u / z)) = x. K(x,y / (z / u)) = K(x,(y * (u / y)) / (z / y)). K(x,(y * (z / y)) / (u / y)) = K(x,y / (u / z)). K(x,(y * (z / y)) / u) != w | K(x,T(z,y) / u) = w. K(x,T(y,z) / (u / z)) = K(x,z / (u / y)). x \ y != K(z,T(u,w) / (v5 / w)) | x * K(z,w / (v5 / u)) = y. x * K(x,y / (z / u)) = T(x,T(u,y) / (z / y)). T(x,T(y,z) / (u / z)) = x * K(x,z / (u / y)). T(x,y / (z / u)) = T(x,T(u,y) / (z / y)). T(x,T(y,z) / (u / z)) = T(x,z / (u / y)). T(x,(y \ z) / (u / z)) = T(x,z / (u / (z / y))). T(x,y \ (z * (y \ (z \ u)))) != w | T(x,z \ ((y * (z \ y)) \ u)) = w. T(x,(K(y,z) * (u \ 1)) \ (T(w,u \ K(z,y)) \ v5)) = T(x,w \ ((K(z,y) \ (u \ 1)) \ v5)). K((x / y) \ (x \ T(z,x \ (y * z))),u) = K(x \ ((z * ((y \ x) \ z)) / z),u). x * (T(x,T(y,y)) \ ((y \ x) \ z)) = ((K(y,x) \ 1) * (y \ x)) \ z. x * (T(x,y) \ ((y \ x) \ z)) = ((K(y,x) \ 1) * (y \ x)) \ z. ((K(x,y) \ 1) * (x \ y)) \ z = y * (T(y,x) \ ((x \ y) \ z)). x != y * (T(y,z) \ u) | K(z,y) * u = x. K(x,y) * ((x \ y) \ z) = ((K(x,y) \ 1) * (x \ y)) \ z. ((K(x,y) \ 1) * (x \ y)) \ z = K(x,y) * ((x \ y) \ z). (K(x,y) * (y \ x)) \ z = K(y,x) * ((y \ x) \ z). (T(x,y) \ y) \ z = K(x,y) * ((x \ y) \ z). K(x,y) * ((x \ y) \ z) = (T(x,y) \ y) \ z. T(x,y * ((T(z,u) \ u) \ w)) = T(x,y * (((z \ u) \ w) * K(u,z))). T(x,y * (((z \ u) \ w) * K(u,z))) = T(x,y * ((T(z,u) \ u) \ w)). T(x,y * (((z \ u) \ w) * K(u,z))) != v5 | T(x,y * ((u / z) \ w)) = v5. T(x,y * ((z / u) \ w)) = T(x,y * ((T(u,z) \ z) \ w)). T(x,y * ((T(z,u) \ u) \ w)) = T(x,y * ((u / z) \ w)). T(x,y * ((z \ T(u,z)) \ w)) = T(x,y * ((u / z) \ w)). T(x,y * (((((z \ u) \ 1) \ 1) \ T(z,((z \ u) \ 1) \ 1)) \ w)) = T(x,y * ((z * (u \ z)) \ w)). T(x,y * (((z \ 1) \ T(L(u,z,z),z \ 1)) \ w)) = T(x,y * (L(u / (1 / z),z,z) \ w)). K(x \ (y \ T(z,u \ w)),v5) != v6 | K(x \ (y \ T(z,u * w)),v5) = v6. K((x / y) \ (x \ T(z,x * (y * z))),u) = K(x \ ((z * ((y \ x) \ z)) / z),u). K((x / y) \ (x \ z),u) != w | K(x \ ((y \ x) \ z),u) = w. K(x \ ((y \ x) \ T(z,x * (y * z))),u) = K(x \ ((z * ((y \ x) \ z)) / z),u). x != K(y \ ((z * u) / z),w) | K(y \ T(u,z),w) = x. K(x \ T((y \ x) \ z,z),u) = K(x \ ((y \ x) \ T(z,x * (y * z))),u). K(x \ ((y \ x) \ T(z,x * (y * z))),u) = K(x \ T((y \ x) \ z,z),u). x != K(y \ T(z \ u,u),w) | K(y \ (u / z),w) = x. K(x \ (y / (z \ x)),u) = K(x \ ((z \ x) \ T(y,x * (z * y))),u). K(x \ ((y \ x) \ T(z,x * (y * z))),u) = K(x \ (z / (y \ x)),u). K(x,(y * (z \ 1)) \ L(u,z,z)) = K(x,(z \ 1) \ ((y \ (z \ 1)) * (z * u))). K(x,(y \ 1) \ ((z \ (y \ 1)) * (y * u))) = K(x,(z * (y \ 1)) \ L(u,y,y)). K(x,(y \ 1) \ ((z \ (y \ 1)) * u)) != w | K(x,y \ ((z \ y) * u)) = w. K(x,y \ ((z \ y) * (y * u))) = K(x,(z * (y \ 1)) \ L(u,y,y)). K(x,(y * (z \ 1)) \ L(u,z,z)) = K(x,z \ ((y \ z) * (z * u))). x \ y != K(z,(u * (w \ 1)) \ L(v5,w,w)) | x * K(z,w \ ((u \ w) * (w * v5))) = y. x * K(x,y \ ((z \ y) * (y * u))) = T(x,(z * (y \ 1)) \ L(u,y,y)). T(x,y \ ((z \ y) * (y * u))) = T(x,(z * (y \ 1)) \ L(u,y,y)). T(x,(y * (z \ 1)) \ L(u,z,z)) = T(x,z \ ((y \ z) * (z * u))). T(x,(y * (z \ 1)) \ L(u,z,z)) != w | T(x,(y / z) \ u) = w. K(x,(y / z) \ ((z \ u) * ((1 / y) \ y))) = K(x,z \ T(((1 / y) \ z) * u,y * y)). K(x \ (x \ ((y * z) \ (y * u))),w) = K((1 / y) \ (((1 / y) / (z * (x * x))) * u),w). K((1 / x) \ (((1 / x) / (y * (z * z))) * u),w) = K(z \ (z \ ((x * y) \ (x * u))),w). K(x,((y / z) \ (z \ u)) * ((1 / y) \ y)) = K(x,z \ T(((1 / y) \ z) * u,y * y)). K(x,y \ T(((1 / z) \ y) * u,z * z)) = K(x,((z / y) \ (y \ u)) * ((1 / z) \ z)). K(x \ ((x / (y * (z * z))) * u),w) = K(z \ (z \ ((x * y) \ (x * u))),w). K(x \ (x \ ((y * z) \ (y * u))),w) = K(y \ ((y / (z * (x * x))) * u),w). K(x \ (x \ ((x * y) \ (x * z))),u) = K(x \ (((x \ 1) / y) * z),u). K(x \ (x \ (y \ (x * z))),u) != w | K(y \ ((x \ 1) * z),u) = w. K((x * y) \ ((x \ 1) * z),u) = K(x \ (((x \ 1) / y) * z),u). K((x * y) \ ((x \ 1) * z),u) != w | K(x \ (x \ (y \ z)),L(u,y,x)) = w. K(x \ (x \ (y \ z)),L(u,y,x)) = K(x \ (((x \ 1) / y) * z),u). K(x \ (x \ (y \ z)),L(u,y,x)) != w | K(((x \ 1) \ y) \ (x \ z),u) = w. K(((x \ 1) \ y) \ (x \ z),u) = K(x \ (((x \ 1) / y) * z),u). x != K(y,z * ((1 / u) \ u)) | K(y,z * (u * u)) = x. K(x,((y / z) \ (z \ u)) * (y * y)) = K(x,z \ T(((1 / y) \ z) * u,y * y)). K(x,y \ T(((1 / z) \ y) * u,z * z)) = K(x,((z / y) \ (y \ u)) * (z * z)). K(x,y \ (((1 / z) \ y) * u)) = K(x,((z / y) \ (y \ u)) * (z * z)). K(x,((y / z) \ (z \ u)) * (y * y)) = K(x,z \ (((1 / y) \ z) * u)). x != K(y,z \ (((1 / u) \ w) * v5)) | K(y,z \ (((u \ 1) \ w) * v5)) = x. K(x,y \ (((z \ 1) \ y) * u)) = K(x,((z / y) \ (y \ u)) * (z * z)). K(x,((y / z) \ (z \ u)) * (y * y)) = K(x,z \ (((y \ 1) \ z) * u)). T(x,R(y,z,y) \ (T(u,(z * y) * z) \ w)) = T(x,u \ ((z \ T(y * z,y)) \ w)). T(x,R(y,z,y) \ (T(u,z * (y * z)) \ w)) = T(x,u \ ((z \ T(y * z,y)) \ w)). T(x,R(y,z,y) \ u) != w | T(x,y \ u) = w. T(x,y \ (T(z,u * (y * u)) \ w)) = T(x,z \ ((u \ T(y * u,y)) \ w)). x != T(y,z \ ((u \ T(w * u,w)) \ v5)) | T(y,z \ (w \ v5)) = x. T(x,y \ (z \ u)) = T(x,z \ (T(y,w * (z * w)) \ u)). T(x,y \ (T(z,u * (y * u)) \ w)) = T(x,z \ (y \ w)). T(x,T(y,z) \ (T(u,z * (z * y)) \ w)) = T(x,u \ (T(y,z) \ w)). x != T(y,(z \ u) \ w) | T(y,(u \ z) * w) = x. T(x,(y \ (y * z)) * L(u,w,v5)) = T(x,z \ L(((y * z) \ y) \ (((y * z) \ y) \ u),w,v5)). T(x,y \ L(((z * y) \ z) \ (((z * y) \ z) \ u),w,v5)) = T(x,(z \ (z * y)) * L(u,w,v5)). x * K(y,(z \ x) * (T(u / x,u) * z)) = ((x / z) * K(y,(1 / (u / x)) \ x)) * z. ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y \ x) * (T(u / x,u) * y)). ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y \ x) * ((x \ u) * y)). ((x / y) * K(z,(1 / (u / x)) \ x)) * y = x * K(z,(y * x) * ((x \ u) / y)). ((x / y) * K(z,(u / x) * x)) * y = x * K(z,(y * x) * ((x \ u) / y)). ((x / y) * K(z,u)) * y = x * K(z,(y * x) * ((x \ u) / y)). x * K(y,(z * x) * ((x \ u) / z)) = ((x / z) * K(y,u)) * z. (x * y) * K(z,(y * (x * y)) * (((x * y) \ u) / y)) = (x * K(z,u)) * y. (x * y) * K(z,T(x,y) * (((x * y) \ u) * y)) = (x * K(z,u)) * y. (x * y) * K(z,x * (((y * x) \ u) * y)) = (x * K(z,u)) * y. x != ((y \ 1) * z) * ((y * y) * u) | (y * T(z,y * y)) * u = x. (x * T(K(y,z),x * x)) * u = ((x \ 1) * ((x * x) * u)) * K(y,(x \ 1) * (((((x * x) * u) * (x \ 1)) \ z) * ((x * x) * u))). ((x \ 1) * ((x * x) * y)) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. K(x,(y * y) * ((z \ (y \ 1)) \ ((y * y) \ u))) = K(x,(z \ y) \ ((y \ (y \ 1)) \ u)). K(x,T(y \ (z \ 1),z \ (z \ 1)) \ u) = K(x,(y \ z) \ ((z \ (z \ 1)) \ u)). K(x,T(y \ (z \ 1),z * (z \ 1)) \ u) = K(x,(y \ z) \ ((z \ (z \ 1)) \ u)). K(x,T(y \ (z \ 1),1) \ u) = K(x,(y \ z) \ ((z \ (z \ 1)) \ u)). K(x,(y \ z) \ ((z \ (z \ 1)) \ u)) = K(x,T(y \ (z \ 1),1) \ u). K(x,(y \ z) \ ((z \ (z \ 1)) \ u)) = K(x,(y \ (z \ 1)) \ u). K(x,(y \ z) \ ((z * z) * u)) = K(x,(y \ (z \ 1)) \ u). K(x,(L(y,z,u) \ y) \ ((y * y) * w)) != v5 | K(x,L(y,z,u) * ((1 / y) \ w)) = v5. K(x,L(y,z,u) * ((1 / y) \ w)) = K(x,(L(y,z,u) \ (y \ 1)) \ w). K(x,(L(y,z,u) \ (y \ 1)) \ w) = K(x,L(y,z,u) * ((1 / y) \ w)). K(x,y * (L(y,z,u) * w)) = K(x,L(y,z,u) * ((1 / y) \ w)). K(x,L(y,z,u) * ((1 / y) \ w)) = K(x,y * (L(y,z,u) * w)). K(x,L(y,z,u) * ((1 / y) \ w)) != v5 | K(x,(y * L(y,z,u)) * w) = v5. K(x,(y * L(y,z,u)) * w) = K(x,y * (L(y,z,u) * w)). K(x,(y * L(y,z,z)) * (u / L(y,z,z))) != w | K(x,a(z,z,y) * (u * (a(z,z,y) \ y))) = w. K(x,a(y,y,z) * (u * (a(y,y,z) \ z))) = K(x,z * (L(z,y,y) * (u / L(z,y,y)))). x != K(y,z * (u * (w / u))) | K(y,z * T(w,u)) = x. K(x,y * T(z,L(y,u,u))) = K(x,a(u,u,y) * (z * (a(u,u,y) \ y))). K(x,a(y,y,z) * (u * (a(y,y,z) \ z))) = K(x,z * T(u,L(z,y,y))). x != K(y,z * T(u,L(w,v5,v6))) | K(y,z * T(u,w)) = x. K(x,y * T(z,y)) = K(x,a(u,u,y) * (z * (a(u,u,y) \ y))). K(x,a(y,y,z) * (u * (a(y,y,z) \ z))) = K(x,z * T(u,z)). K(x,a(y,y,z) * (u * (a(y,y,z) \ z))) = K(x,u * z). K(x,a(y,y,z) * (u * L(z,y,y))) = K(x,u * z). x \ y != K(z,a(u,u,w) * (v5 * L(w,u,u))) | x * K(z,v5 * w) = y. x * K(x,y * z) = T(x,a(u,u,z) * (y * L(z,u,u))). T(x,a(y,y,z) * (u * L(z,y,y))) = x * K(x,u * z). T(x,y * z) = T(x,a(u,u,z) * (y * L(z,u,u))). T(x,a(y,y,z) * (u * L(z,y,y))) = T(x,u * z). T(x,a(y,y,z) * u) != w | T(x,(v5 \ (v6 \ ((1 / v6) \ v5))) * u) = w. T(x,(y \ (z \ ((1 / z) \ y))) * (u * L(w,v5,v5))) = T(x,u * w). T(x,a(y,y,y \ z) * (u * ((1 / y) * z))) = T(x,u * (y \ z)). T(x,a(y,y,(1 / T(y,y)) \ z) * (u * ((T(y,y) * (1 / y)) \ (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,(y \ (z \ ((1 / z) \ y))) * (u * ((w * w) \ v5))) = T(x,u * (w \ (w \ v5))). T(x,a(y,y,y \ z) * (u * ((y \ 1) * z))) = T(x,u * (y \ z)). T(x,(y * ((y * ((z \ 1) * u)) / y)) * T(a(z,z,z \ u),((z \ 1) * u) * y)) = T(x,T(y,(z \ 1) * u) * (z \ u)). T(x,a(y,z,z) * (u * ((w * w) \ v5))) = T(x,u * (w \ (w \ v5))). T(x,y * ((z * z) \ u)) = T(x,y * (z \ (z \ u))). T(T(x,y * (z \ (z \ u))),w) = T(T(x,y * u),z \ (z \ w)). K(x,(1 / (y / z)) / (1 / T(u,(y / z) \ 1))) = K(x,u / ((y / z) * K(y \ z,z \ y))). T(x,(K(y,z) * (u \ 1)) \ (T(w,u * K(z,y)) \ v5)) = T(x,w \ ((K(z,y) \ (u \ 1)) \ v5)). T(x,y * (((z \ 1) \ (z * (u * (z \ 1)))) \ w)) = T(x,y * (L(u / (1 / z),z,z) \ w)). T(x,y * (((z * z) * (u * (z \ 1))) \ w)) = T(x,y * (L(u / (1 / z),z,z) \ w)). T(x,y * ((z * (u \ 1)) \ ((u * u) \ w))) = T(x,y * (L(z / (1 / u),u,u) \ w)). T(x,y * ((z * (u \ 1)) \ ((u * u) \ w))) != v5 | T(x,y * ((z * u) \ w)) = v5. T(x,y * ((z * u) \ w)) = T(x,y * (L(z / (1 / u),u,u) \ w)). T(x,y * (L(z / (1 / u),u,u) \ w)) = T(x,y * ((z * u) \ w)). T(x,y \ L(((z * y) \ z) \ (((z * y) \ z) \ u),w,v5)) = T(x,y * L(u,w,v5)). K(x,(1 / (y / z)) / (1 / T(u,z / y))) = K(x,u / ((y / z) * K(y \ z,z \ y))). K(x,(1 / (y / z)) * T(u,z / y)) = K(x,u / ((y / z) * K(y \ z,z \ y))). K(x,y / ((z / u) * K(z \ u,u \ z))) = K(x,(1 / (z / u)) * T(y,u / z)). x != K(y,(1 / z) * u) | K(y,z \ u) = x. K(x,(y / z) \ T(u,z / y)) = K(x,u / ((y / z) * K(y \ z,z \ y))). K(x,y / ((z / u) * K(z \ u,u \ z))) = K(x,(z / u) \ T(y,u / z)). K(x,y / (1 / (1 / (z / u)))) = K(x,(z / u) \ T(y,u / z)). K(x,(y / z) \ T(u,z / y)) = K(x,u / (1 / (1 / (y / z)))). 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 / u)) = K(x,y / (u / z)). K(x,y / (z / u)) = K(x,y * (u / z)). T(x,y * (((((z \ u) \ 1) \ 1) \ T(z,z \ u)) \ w)) = T(x,y * ((z * (u \ z)) \ w)). T(x,y * ((((z \ 1) \ 1) \ u) \ w)) != v5 | T(x,y * ((z \ u) \ w)) = v5. T(x,y * (((z \ u) \ T(z,z \ u)) \ w)) = T(x,y * ((z * (u \ z)) \ w)). T(x,y * ((z \ T(u,z)) \ w)) != v5 | T(x,y * ((u / z) \ w)) = v5. T(x,y * ((z / (z \ u)) \ w)) = T(x,y * ((z * (u \ z)) \ w)). x != T(y,z \ (u * (1 / w))) | T(y,z \ (u * (w \ 1))) = x. T(x,((y \ 1) * (z * (y \ 1))) \ (u * (y \ 1))) = T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,((y \ 1) * (z * (y \ 1))) \ (u * (y \ 1))). T(x * (y \ ((1 / y) \ z)),K(y \ ((1 / y) \ z),z)) = (y \ ((1 / y) \ z)) * T(x,y \ (y * z)). T(x * (y \ ((1 / y) \ z)),K(y \ ((1 / y) \ z),z)) = (y \ ((1 / y) \ z)) * T(x,z). T(x * (y \ ((1 / y) \ z)),K(z,z)) = (y \ ((1 / y) \ z)) * T(x,z). T(x * (y \ ((1 / y) \ z)),1) = (y \ ((1 / y) \ z)) * T(x,z). x * (y \ ((1 / y) \ z)) = (y \ ((1 / y) \ z)) * T(x,z). (x \ ((1 / x) \ y)) * T(z,y) = z * (x \ ((1 / x) \ y)). T(x,a(y,y,(1 / y) \ z) * (u * ((T(y,y) * (1 / y)) \ (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * ((T(y,y) * (1 / y)) \ (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * ((y * (1 / y)) \ (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (K(y,y \ 1) \ (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (K(y \ 1,y) * (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (K(y,y \ 1) * (y * z)))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (T(y,y \ 1) * z))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,y * (z * (T(u,u \ w) * v5))) != v6 | T(x,y * (z * (T(u,w) * v5))) = v6. T(x,a(y,y,y \ z) * (u * (T(y,1) * z))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (y * z))) = T(x,u * ((1 / T(y,y)) \ z)). T(x,a(y,y,y \ z) * (u * (y * z))) = T(x,u * ((1 / y) \ z)). x != T(y,z * ((1 / u) \ w)) | T(y,z * ((u \ 1) \ w)) = x. T(x,y * ((z \ 1) \ u)) = T(x,a(z,z,z \ u) * (y * (z * u))). T(x,a(y,y,y \ z) * (u * (y * z))) = T(x,u * ((y \ 1) \ z)). T(x,a(y,y,T(z * (1 / y),y)) * (u * (y * R(z,y,y)))) = T(x,u * ((y \ 1) \ R(z,y,y))). T(x,a(y,y,z * (1 / y)) * (u * (y * R(z,y,y)))) = T(x,u * ((y \ 1) \ R(z,y,y))). T(x,a(y,y,z * y) * (u * (y * R(z,y,y)))) = T(x,u * ((y \ 1) \ R(z,y,y))). T(x,y * (z * (u * R(w,v5,v5)))) != v6 | T(x,y * (z * (u * L(w,v5,v5)))) = v6. T(x,a(y,y,z * y) * (u * (y * L(z,y,y)))) = T(x,u * ((y \ 1) \ R(z,y,y))). T(x,a(y,y,z * y) * (u * (y * L(z,y,y)))) = T(x,u * T(z * y,y \ 1)). x != T(y,z * T(u,w \ 1)) | T(y,z * T(u,w)) = x. T(x,y * T(z * u,u)) = T(x,a(u,u,z * u) * (y * (u * L(z,u,u)))). T(x,a(y,y,z * y) * (u * (y * L(z,y,y)))) = T(x,u * T(z * y,y)). x != T(y,z * T(u * w,w)) | T(y,z * (w * u)) = x. T(x,y * (z * u)) = T(x,a(z,z,u * z) * (y * (z * L(u,z,z)))). T(x,a(y,y,z * y) * (u * (y * L(z,y,y)))) = T(x,u * (y * z)). T(x,(y * (z * L(u,z,z))) * a(w,w,v5)) = T(x,y * (z * u)). T(x,y * (z * L(u,z,z))) = T(x,y * (z * u)). K(x,L(y * (z \ (z \ u)),(z \ 1) \ 1,u / z)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). K(x,L(y * (z \ (z \ u)),z,u / z)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,((z \ 1) \ 1) * ((((z \ 1) \ 1) \ y) * (z \ (z \ u)))). K(x,L(y * (z \ (z \ u)),z,z * u)) != w | K(x,(y * (u / z)) / z) = w. K(x,(y * (z / u)) / u) = K(x,((u \ 1) \ 1) * ((((u \ 1) \ 1) \ y) * (u \ (u \ z)))). K(x,((y \ 1) \ 1) * ((((y \ 1) \ 1) \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). K(x,(y \ 1) * (((y \ 1) \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). K(x,y * ((y \ z) * (y \ (y \ u)))) = K(x,(z * (u / y)) / y). K(x,y * (z * (y \ (y \ u)))) != w | K(x,y \ (z * u)) = w. K(x,y \ ((y \ z) * u)) = K(x,(z * (u / y)) / y). K(x,(y * (z / u)) / u) = K(x,u \ ((u \ y) * z)). K(x,(y * (z / u)) / u) != w | K(x,L(y * (u \ (u \ z)),u,u * z)) = w. K(x,L(y * (z \ (z \ u)),z,z * u)) = K(x,z \ ((z \ y) * u)). K(x,L(y * (z \ (z \ u)),u,z)) = K(x,z \ ((z \ y) * u)). K(x,L(y * (z \ (z \ u)),u,z)) != w | K(x,(y / z) * (z \ u)) = w. K(x,(y / z) * (z \ u)) = K(x,z \ ((z \ y) * u)). K(x,y \ ((y \ z) * u)) = K(x,(z / y) * (y \ u)). K(x,y \ (z * u)) = K(x,((y * z) / y) * (y \ u)). K(x,((y * z) / y) * (y \ u)) = K(x,y \ (z * u)). K(x,T(y,z) * (z \ u)) = K(x,z \ (y * u)). K(x,y * (z \ u)) != w | K(x,y / (u \ z)) = w. K(x,T(y,z) / (u \ z)) = K(x,z \ (y * u)). K(x,T((y * (z \ 1)) \ u,z) * (z \ y)) != w | K(x,T(u,y)) = w. K(x,T(y,z)) = K(x,u \ (((z * (u \ 1)) \ y) * z)). K(x,y \ (((z * (y \ 1)) \ u) * z)) = K(x,T(u,z)). K(x,T(y,z) / u) = K(x,z \ (y * (z / u))). K(x,y \ (z * (y / u))) = K(x,T(z,y) / u). T(x,(y * ((y * ((z \ 1) * u)) / y)) * a(z,z,z \ u)) = T(x,T(y,(z \ 1) * u) * (z \ u)). T(x,(y * (z / y)) * u) != w | T(x,T(z,y) * u) = w. T(x,T(y * ((z \ 1) * u),y) * a(z,z,z \ u)) = T(x,T(y,(z \ 1) * u) * (z \ u)). T(x,(((y \ 1) * z) * u) * a(y,y,y \ z)) = T(x,T(u,(y \ 1) * z) * (y \ z)). T(x,(((y \ 1) * z) * u) * a(y,y,y \ z)) = T(x,T(u,y \ z) * (y \ z)). T(x,(y \ z) * u) = T(x,(((y \ 1) * z) * u) * a(y,y,y \ z)). T(x,(((y \ 1) * z) * u) * a(y,y,y \ z)) = T(x,(y \ z) * u). T(x,((y \ 1) * z) * u) = T(x,(y \ z) * u). T(x,((y \ 1) * (z / y)) * (z \ u)) != w | T(x,y \ (T(y,z) \ u)) = w. T(x,y \ (T(y,z) \ u)) = T(x,(y \ (z / y)) * (z \ u)). T(x,(y \ (z / y)) * (z \ u)) = T(x,y \ (T(y,z) \ u)). (x * (((1 / x) * x) * y)) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,(x \ 1) * (((((x * x) * y) * (x \ 1)) \ u) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ ((x * x) \ u)) * ((x * x) * y))) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ T(u,x * x)) * y)) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,(x \ 1) * (((y * (x \ 1)) \ u) * y)) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,x \ (((y * (x \ 1)) \ u) * y)) = (x * T(K(z,u),x * x)) * y. (x * y) * K(z,x \ (((y * (x \ 1)) \ u) * y)) = (x * K(z,u)) * y. (x * y) * K(z,T(u,y)) = (x * K(z,u)) * y. (x * y) * K(z,T(u,y)) != w | L(x,y,K(z,u)) * (K(z,u) * y) = w. L(x,y,K(z,u)) * (K(z,u) * y) = (x * K(z,u)) * y. (x * y) * K(z,T(u,y)) != w | (x * T(y,K(z,u))) * K(z,u) = w. (x * T(y,K(z,u))) * K(z,u) = (x * K(z,u)) * y. (x * y) * z != (x * K(u \ x,w)) * y | K((u * y) \ (x * y),w) = z. K((x * y) \ (z * y),u) = K(x \ z,T(u,y)). ((x * K(y,z)) * u) \ (x * u) = K(z,T(y,u)). (x * a(y,z,u)) * K(w,v5) = (x * K(w,v5)) * a(y,z,u). (x * K(y,z)) * a(u,w,v5) = (x * a(u,w,v5)) * K(y,z). ((x * K(y,z)) * u) / (x * (K(y,z) * u)) = a(x,u,K(y,z)). K((x * y) \ z,u) = K(x \ (z / y),T(u,y)). K(x \ (y / z),T(u,z)) = K((x * z) \ y,u). (((x \ y) * K(z,u / (x \ y))) * x) \ ((x \ y) * x) != w | K(y \ (x * u),T(z,(x \ y) * x)) = w. K(x \ (y * z),T(u,(y \ x) * y)) = K(z / (y \ x),T(u,y)). K(x \ (y / z),u) = K((x * z) \ y,T(u,z)). K((x * y) \ z,T(u,y)) = K(x \ (z / y),u). K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). K((x * y) \ z,T(u,x * z)) = K(x \ (z / y),u). K((x * y) \ z,T(u,y)) != w | K(T(z,x) / (y * x),u) = w. K(T(x,y) / (z * y),u) = K(y \ (x / z),u). (x * K(y,z \ (u / w))) \ x = K(T(u,z) / (w * z),y). K(T(x,y) / (z * y),u) = (w * K(u,y \ (x / z))) \ w. (x * y) * K(z,u) = (x * K(z,u)) * T(y,K(z,u)). (x * K(y,z)) * T(u,K(y,z)) = (x * u) * K(y,z). (x * K(y,z)) * T(u,K(y,z)) != w | L(x,K(y,z),u) * (u * K(y,z)) = w. L(x,K(y,z),u) * (u * K(y,z)) = (x * u) * K(y,z). (x * K(y,z)) * u != w * (K(y,z) * u) | L(x,u,K(y,z)) = w. L(x,K(y,z),u) * w != v5 | L(x,K(z,y),u) * w = v5. L(x,K(y,z),u) * (u * K(z,y)) = (x * u) * K(z,y). x * (y * K(z,u)) != (w * y) * K(z,u) | L(w,y,K(z,u)) = x. L(x,y,K(z,u)) = L(x,K(u,z),y). L(x,K(y,z),u) = L(x,u,K(z,y)). x \ y != L(z,u,K(w,v5)) | x * L(z,K(v5,w),u) = y. (K(x,y) * z) * L(u,K(y,x),z) = K(x,y) * (z * u). (K(x,y) * z) * L(u,K(y,x),z) != w | z * (K(x,T(y,z)) * u) = w. x * (K(y,T(z,x)) * u) = K(y,z) * (x * u). x \ (K(y,z) * u) = K(y,T(z,x)) * (x \ u). K(x,T(y,z)) * (z \ u) = z \ (K(x,y) * u). x * (K(y,z) * u) = K(y,T(z,x)) * (x * u). K(x,T(y,z)) * (z * u) = z * (K(x,y) * u). T(x,y) * (K(z,T(u,x)) * w) = K(z,u) * (T(x,y) * w). (x * (K(y,z) * u)) / (x * u) = K(y,T(z,x)). (x * (K(y,z) * u)) * K(z,T(y,x)) = T(x * u,K(y,z)). (x * (y * K(z,u))) / (x * y) = K(z,T(T(u,y),x)). K(x,L(T(y,z * u),u,z)) = K(x,T(T(y,u),z)). K(x,L(T(y,z * u),z,u)) = K(x,T(T(y,u),z)). K(x,(y * z) / (y * u)) = K(x,T(T(u \ z,u),y)). K(x,T(T(y \ z,y),u)) = K(x,(u * z) / (u * y)). K(L(x,y,z),T(u,y * z)) = K(x,T(T(u,z),y)). K(L(x,y,z),T(u,z * y)) = K(x,T(T(u,z),y)). K(L(x,y,z),T(u,z * y)) != w | (z * (y * T(x,u))) / (z * (y * x)) = w. (x * (y * T(z,u))) / (x * (y * z)) = K(z,T(T(u,x),y)). K(x,T(y / z,u)) = K(x,(u * y) / (u * z)). K(x,(y * z) / (y * u)) = K(x,T(z / u,y)). K(x,T(y,z) / (z * u)) = K(x,T((y / z) / u,z)). K(x,(y * (y * z)) / (y * u)) != w | K(x,z / (y \ u)) = w. K(x,y / (z \ u)) = K(x,T((z * y) / u,z)). K(x,T((y * z) / u,y)) = K(x,z / (y \ u)). x \ y != K(z,(u * w) / (u * v5)) | x * K(z,T(w / v5,u)) = y. x * K(x,T(y / z,u)) = T(x,(u * y) / (u * z)). T(x,(y * z) / (y * u)) = x * K(x,T(z / u,y)). K(x,(y * z) / (u * y)) = K(x,T(z / T(u,y),y)). K(x,T((y * z) / y,u)) * K(x,K(u * (y * z),u * y)) = K(x,L(z,y,u)). T(x,T(y / z,u)) = T(x,(u * y) / (u * z)). T(x,(y * z) / (y * u)) = T(x,T(z / u,y)). T(x,(y * z) / (y * u)) != w | T(x,T(z / u,y)) = w. T(x,(a(y,y,z) * u) / z) = T(x,T(u / L(z,y,y),a(y,y,z))). T(x,T(y / L(z,u,u),a(u,u,z))) = T(x,(a(u,u,z) * y) / z). K(x,L(T(y,z) / u,u,z)) = K(x,T(y / T(u,z),z)). K(x,L(T(T(y,T(z,u)),u) / z,z,u)) = K(x,T(y / T(T(z,u),y),u)). K(x,T(y / T(T(z,u),y),u)) = K(x,L(T(T(y,T(z,u)),u) / z,z,u)). K(x / (y * a(z,u,w)),v5) = K(a(z,u,w) \ (x / y),v5). T(x,T(y,z) / (u * z)) = x * K(x,z \ (y / u)). K(x,T(y,z) / (u * z)) = K(x,z \ (y / u)). K(x,T(y,z) / (z * u)) = K(x,z \ (y / T(u,z))). K(x,T(y * z,y) / u) != w | K(x,(z * y) / u) = w. K(x,(y * z) / (u * z)) = K(x,z \ ((z * y) / u)). K(x,T(y,z) / (z * u)) != w | K(x,T((y / z) / u,z)) = w. K(x,T((y / z) / u,z)) = K(x,z \ (y / T(u,z))). K(x,L(y / z,z,u)) = K(x,u \ ((u * y) / z)). K(x,L(y / T(z,u),z,w)) = K(x,w \ ((w * y) / T(z,u))). T(x,K(y,z)) * (K(y,T(z,x)) * u) != w | x * (K(y,z) * u) = w. x * (K(y,z) * u) = K(y,z) * (T(x,K(y,z)) * u). K(x,y) * (T(z,K(x,y)) * u) = z * (K(x,y) * u). K(x,y) * (z * u) = T(z,K(x,y)) * (K(x,y) * u). T(x,K(y,z)) * (K(y,z) * u) = K(y,z) * (x * u). T(x,(y * (K(z,u) * w)) / v5) = T(x,(T(y,K(z,u)) * w) * (v5 \ K(z,u))). T(x,(T(y,K(z,u)) * w) * (v5 \ K(z,u))) = T(x,(y * (K(z,u) * w)) / v5). T(x,K(y,z)) * u = K(y,z) * (x * (K(z,y) * u)). K(x,y) * (z * (K(y,x) * u)) = T(z,K(x,y)) * u. T(x,K(y,z)) * T(u,K(y,z)) = K(y,z) * (x * (u * K(z,y))). T(x * y,K(z,u)) \ (x * (K(z,u) * y)) = K(z,T(u,x)). ((x * L(y,z,z)) * ((z * z) * T(u,w))) / ((x * L(y,z,z)) * ((z * z) * u)) != v5 | K(u,T(w,x * (z * (z * y)))) = v5. K(x,T(y,z * (u * (u * w)))) = K(x,T(T(y,z * L(w,u,u)),u * u)). K(x,T(T(y,z * L(u,w,w)),w * w)) = K(x,T(y,z * (w * (w * u)))). K(x * L(y \ 1,z,z),u) = K(a(z,z,y) \ (x / y),u). K(a(x,x,y) \ (z / y),u) = K(z * L(y \ 1,x,x),u). x != K(y,T(z,u)) | T(K(y,z),u * a(w,v5,v6)) = x. T(K(x,y),z * a(u,w,v5)) = T(z * v6,K(x,y)) \ (z * (K(x,y) * v6)). K(a(x,x,y) \ z,u) != w | K(a(x,x,y) * z,u) = w. K(a(x,x,y) * (z / y),u) = K(z * L(y \ 1,x,x),u). x != K(y * L(z \ 1,u,u),w) | K(y / L(z,u,u),w) = x. K(x / L(y,z,z),u) = K(a(z,z,y) * (x / y),u). K(a(x,x,y) * (z / y),u) = K(z / L(y,x,x),u). K((x / y) * a(z,z,y),u) = K(x / L(y,z,z),u). a(x,K(y,z),u) = a(x,u,K(y,z)). x != a(y,z,K(u,w)) | a(y,u,K(z,w)) = 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)). (K(x,y) * a(z,u,K(w,v5))) \ y = K(y,x) * (a(z,K(u,v5),w) \ y). x != K(y,z \ (u / T(w,z))) | K(y,T((u / z) / w,z)) = x. K(x,T(((y * z) / y) / u,y)) = K(x,L(z / T(u,y),u,y)). K(x,T(((y * z) / y) / u,w)) != v5 | K(x,T(T(z,y) / u,w)) = v5. K(x,T(T(y,z) / u,z)) = K(x,L(y / T(u,z),u,z)). K(x,L(y / T(z,u),z,u)) = K(x,T(T(y,u) / z,u)). (x * K(y,T(T(z,u) / w,u))) \ x = K(L(z / T(w,u),w,u),y). K(L(x / T(y,z),y,z),u) = (w * K(u,T(T(x,z) / y,z))) \ w. K(x \ (y * z),T(u,T(x,y))) = K(z / (y \ x),T(u,y)). K((x * y) / z,u) = K(y / (x \ z),T(u,x)). K(x / (y \ z),T(u,y)) = K((y * x) / z,u). K(x / y,T(z,u)) = K((u * x) / (u * y),z). K((x * y) / (x * z),u) = K(y / z,T(u,x)). K((x * y) / (y * z),u) = K(T(x,y) / z,T(u,y)). K((x * (y / z)) / y,u) = K(T(x,y / z) / z,T(u,y / z)). K(T(x,y / z) / z,T(u,y / z)) = K((x * (y / z)) / y,u). K(T(x,y / z) / z,T(u,z * y)) = K((x * (y / z)) / y,u). K(T(x,y * z) / y,T(u,y * z)) = K((x * (z / y)) / z,u). T(x,(a(y,y,z) * u) / z) != w | T(x,u / L(z,y,y)) = w. x != (y * K(z,T(u,w))) \ y | K(u,T(z,w)) = x. K(T(x,y) / z,T(u,y)) = K(L(x / T(z,y),z,y),u). K(L(x / T(y,z),y,z),u) = K(T(x,z) / y,T(u,z)). K(x / T(y,z),L(u,y,z)) = K(T(x,z) / y,T(u,z)). K(x / T(y,z),L(u,z,y)) = K(T(x,z) / y,T(u,z)). K(x / ((y \ z) \ z),L(u,y,y \ z)) = K(T(x,y \ z) / y,T(u,y \ z)). K(x,L(y,z,u)) \ y = K(y,x) * (a(u,K(x,y),z) \ y). K(x,y) * (a(z,K(y,x),u) \ x) = K(y,L(x,u,z)) \ x. K(L(x,y,z),u) * x = K(x,u) * (a(z,K(u,x),y) \ x). K(x,y) * (a(z,K(y,x),u) \ x) = K(L(x,u,z),y) * x. K(x,y) * (a(z,K(y,x),u) \ x) = K(x,L(y,u,z)) * x. T(x,L(y,z,u)) = K(x,y) * (a(u,K(y,x),z) \ x). K(x,y) * (a(z,K(y,x),u) \ x) = T(x,L(y,u,z)). K(x,y) * (a(z,y,K(u,x)) \ x) = T(x,L(y,u,z)). K(x,y) * (x * a(x,y,K(z,u))) = T(x,L(y,z,u)). K(x,y) * L(x,y,K(z,u)) = T(x,L(y,u,z)). K(x,y) * L(x,y,z) != u | L(T(x,y),y,z) = u. L(T(x,y),y,K(z,u)) = T(x,L(y,u,z)). K(x,T(y / T(T(z,u),y),u)) = K(x,L(T(T(y,u),T(z,u)) / z,z,u)). K(x,T(y,z * L(u,w,w))) = K(x,T(y,z * (w * (w * u)))). K(x,T(y,z * (u * (u * w)))) = K(x,T(y,z * L(w,u,u))). K(x,T(y,(z * (z * u)) * w)) = K(x,T(y,w * L(u,z,z))). K(x,T(y,(z * u) * (z \ w))) = K(x,T(y,w * L(u,z,z))). K(x,T(y,z * (u \ (u \ w)))) = K(x,T(y,w * L(z,u,u))). (x * a(y,z,u)) * K(w,v5) = x * (K(w,v5) * a(y,z,u)). (x * a(y,z,u)) * K(w,v5) != v6 | (x * K(w,v5)) * a(y,z,u) = v6. (x * K(y,z)) * a(u,w,v5) = x * (K(y,z) * a(u,w,v5)). L(x,a(y,z,u),K(w,v5)) = x. K(x,y) * (a(z,u,w) * v5) = (K(x,y) * a(z,u,w)) * v5. (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). K(x,L(y,z,a(u,w,v5))) = K(x,y). K((x \ y) \ z,L(u,x,y)) != w | K(y \ (x * z),u) = w. K(a(x,y,z) \ (u * w),v5) = K((u \ a(x,y,z)) \ w,v5). K((x \ a(y,z,u)) \ w,v5) = K(a(y,z,u) \ (x * w),v5). x != K(y,L(T(z,T(u,w)) / v5,v6,v7)) | K(y,L(T(z,u) / v5,v6,v7)) = x. K(x,L(T(T(y,z),u) / u,u,z)) = K(x,T(y / T(T(u,z),y),z)). K(x,T(y / T(T(z,u),y),u)) = K(x,L(T(T(y,u),z) / z,z,u)). x != K(y,L(T(z,u) / u,w,v5)) | K(y,L(u \ z,w,v5)) = x. K(x,L(y \ T(z,u),y,u)) = K(x,T(z / T(T(y,u),z),u)). K(x,T(y / T(T(z,u),y),u)) = K(x,L(z \ T(y,u),z,u)). K(x,T(y / T(T(z,u),y),u)) = K(x,(u * z) \ (y * u)). K(x,T(y / T(z,y),u)) != w | K(x,T(z \ y,u)) = w. K(x,T(T(y,z) \ u,z)) = K(x,(z * y) \ (u * z)). x != K(y,(z * (u / R(z,w,z))) \ (v5 * z)) | K(y,T(u,z) \ (v5 * z)) = x. K(x,T(y,z) \ (u * z)) = K(x,T(T(y / R(z,w,z),z) \ u,z)). K(x,T(T(y / R(z,u,z),z) \ w,z)) = K(x,T(y,z) \ (w * z)). x \ y != K(z,(u * w) \ (v5 * u)) | x * K(z,T(T(w,u) \ v5,u)) = y. x * K(x,T(T(y,z) \ u,z)) = T(x,(z * y) \ (u * z)). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,(z / (y * y)) \ (u * (z / y))). T(x,T(T(y,z) \ u,z)) = T(x,(z * y) \ (u * z)). x != T(y,((z \ 1) * (u * (z \ 1))) \ (w * (z \ 1))) | T(y,(z \ 1) \ (u \ T(a(z,z,z) * w,z \ 1))) = x. T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,T(T(z * (y \ 1),y \ 1) \ u,y \ 1)). K(x,T((R(y,z,y) \ u) \ w,y)) = K(x,T(u,y) \ (w * y)). K(x,T((y \ z) \ u,y)) = K(x,T(z,y) \ (u * y)). x != K(y,T(z \ u,u) \ w) | K(y,(u / z) \ w) = x. K(x,(y / z) \ (u * y)) = K(x,T((y \ (z \ y)) \ u,y)). K(x,T((y \ (z \ y)) \ u,y)) = K(x,(y / z) \ (u * y)). K(x,T((y \ (z * (y \ 1))) \ u,y * y)) = K(x,T(T(z,y \ 1),y * y) \ (u * (y * y))). K(x,T(T(y,z \ 1),z * z) \ (u * (z * z))) = K(x,T((z \ (y * (z \ 1))) \ u,z * z)). K(x,T((y \ z) \ (u / (1 / y)),y)) = K(x,T(z,y) \ (u * ((1 / y) \ y))). K(x,T((y \ (z \ y)) \ (u / (1 / y)),y)) = K(x,(y / z) \ (u * ((1 / y) \ y))). K(x,T((y \ (z \ y)) \ (y \ ((y \ 1) \ u)),y)) = K(x,(y / z) \ ((y \ 1) \ T(u,y))). T(x,(y * z) * (u \ K(w,v5))) = T(x,(y * (K(w,v5) * z)) / u). T(x,(y * (K(z,u) * w)) / v5) = T(x,(y * w) * (v5 \ K(z,u))). T(x,(y * T(z,u)) / w) = T(x,(y * z) * (w \ K(z,u))). T(x,(y * z) * (u \ K(z,w))) = T(x,(y * T(z,w)) / u). T(x,(y * T(z,u)) / u) != w | T(x,(y * z) / T(u,z)) = w. K(x,T((y \ z) \ (u / (1 / y)),y)) = K(x,(T(z,y) \ u) * ((1 / y) \ y)). K(x,(T(y,z) \ u) * (z * z)) = K(x,T((z \ y) \ (u / (1 / z)),z)). K(x,T((y \ z) \ (u / (1 / y)),y)) = K(x,(T(z,y) \ u) * (y * y)). K(x,T(T(y,z),u)) * K(x,K(u * (z * y),u * z)) = K(x,L(y,z,u)). K(x,T(T(y,z),u)) * K(x,K(u * z,u * (z * y))) = K(x,L(y,z,u)). K(x,T(T(y,z),u)) * K(x,K(y,u * z)) = K(x,L(y,z,u)). K(x,T(y,z)) * K(u,K(w,v5)) != v6 | T(K(x,y) * K(u,K(w,v5)),z) = v6. T(K(x,T(y,z)) * K(x,K(y,u * z)),u) = K(x,L(y,z,u)). T(K(x,T(T(y,z),u * z)),u) = K(x,L(y,z,u)). K(x,T(T(T(y,z),u),u * z)) = K(x,L(y,z,u)). K(x,L(y,z,u)) = K(x,T(T(T(y,u),z),u * z)). K(x,T(T(T(y,z),u),z * u)) = K(x,L(y,u,z)). x != K(y,L(z,u,w)) | K(y,L(z,w \ u,w)) = x. K(x,L(y,z \ u,z)) = K(x,T(T(T(y,u),z),z * u)). K(x,T(T(T(y,z),u),u * z)) = K(x,L(y,u \ z,u)). T(K(x,T(T(y,z),u)),u * z) = K(x,L(y,u \ z,u)). T(T(K(x,T(y,z)),u),u * z) = K(x,L(y,u \ z,u)). T(T(K(x,y) * K(x,K(z,y)),u),u * z) = K(x,L(y,u \ z,u)). T(K(x,T(y,z)) * K(x,K(u,y)),z * u) = K(x,L(y,z \ u,z)). K(x,K(y,z)) * K(x,T(T(z,u),u * y)) = K(x,L(z,u \ y,u)). K(x,K(y,z)) * u != K(x,L(z,w,v5)) | K(x,L(T(z,y),w,v5)) = u. K(x,L(T(y,z),u \ z,u)) = K(x,T(T(y,u),u * z)). K(x,L(T(y,z),z,u)) = K(x,T(T(y,u),u * z)). K(x,T(T(y,z),z * u)) = K(x,L(T(y,u),u,z)). K(x,T(T((y * z) / y,u),u * (w \ (w \ y)))) = K(x,L(T(z,w \ (w \ 1)),w \ (w \ y),u)). K(x / ((y \ z) \ z),L(u,z,y)) = K(T(x,y \ z) / y,T(u,y \ z)). K(T(x,y \ z) / y,T(u,y \ z)) = K(x / ((y \ z) \ z),L(u,z,y)). x != K(y / ((z \ u) \ u),w) | K(y / T(z,u),w) = x. K(x / T(y,z),L(u,z,y)) = K(T(x,y \ z) / y,T(u,y \ z)). K(T(x,y \ z) / y,T(u,y \ z)) = K(x / T(y,z),L(u,z,y)). x != K(y / T(z,u),L(w,u,z)) | K(T(y,u) / z,T(w,u)) = x. K(T(x,y) / z,T(u,y)) = K(T(x,z \ y) / z,T(u,z \ y)). K(T(x,y \ z) / y,T(u,y \ z)) = K(T(x,z) / y,T(u,z)). K(T(x,y \ z) / y,T(u,y * z)) = K(T(x,z) / y,T(u,z)). K(T(x,y * z) / y,T(u,y * z)) = K(T(x,z) / y,T(u,z)). K(T(x,y * z) / y,T(u,y * z)) != w | K((x * (z / y)) / z,u) = w. K((x * (y / z)) / y,u) = K(T(x,y) / z,T(u,y)). K((x * y) / z,u) = K(T(x,z) / (y \ z),T(u,z)). K(T(x,y) / (z \ y),T(u,y)) = K((x * z) / y,u). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,(y * y) * (z \ (u * (z / y)))). K(x,y * (y * (z \ (u * (z / y))))) = K(x,T(T(y \ 1,z / y) \ u,z / y)). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,y * (y * (z \ (u * (z / y))))). x != K(y,z * (z * (u \ (w * (v5 / z))))) | K(y,u \ (w * (v5 / (1 / z)))) = x. K(x,y \ (z * (y / (1 / u)))) = K(x,T(T(u \ 1,y / u) \ z,y / u)). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,z \ (u * (z / (1 / y)))). x != K(y,z \ (u * (z / w))) | K(y,T(u,z) / w) = x. K(x,T(y,z) / (1 / u)) = K(x,T(T(u \ 1,z / u) \ y,z / u)). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,T(u,z) / (1 / y)). x != K(y,z / (1 / u)) | K(y,z * u) = x. K(x,T(y,z) * u) = K(x,T(T(u \ 1,z / u) \ y,z / u)). K(x,T(T(y \ 1,z / y) \ u,z / y)) = K(x,T(u,z) * y). K(x,T(T(y \ 1,y \ z) \ u,z / y)) = K(x,T(u,z) * y). K(x,T(T(y \ 1,y \ z) \ u,y * z)) = K(x,T(u,z) * y). K(x,T(T(y,z \ u) \ w,v5)) != v6 | K(x,T(T(y,z * u) \ w,v5)) = v6. K(x,T(T(y \ 1,y * z) \ u,y * z)) = K(x,T(u,z) * y). K(x,T(T(y \ 1,z) \ u,w)) != v5 | K(x,T(T(y,z) * u,w)) = v5. K(x,T(T(y,y * z) * u,y * z)) = K(x,T(u,z) * y). K(x,T(T(y,y * z) * u,w)) != v5 | K(x,T(T(y,z) * u,w)) = v5. K(x,T(T(y,z) * u,y * z)) = K(x,T(u,z) * y). K(x,T(T(y,z) * u,z * y)) = K(x,T(u,z) * y). x != K(y,T(z,u * w) * T(u,w)) | K(y,z * (w * T(u / w,z))) = x. K(x,y * (z * T(u / z,y))) = K(x,T(T(T(u,z),u * z) * y,(u * z) * T(u,z))). K(x,T(T(T(y,z),y * z) * u,(y * z) * T(y,z))) = K(x,u * (z * T(y / z,u))). K(x,T(y * (z * u),z * y)) = K(x,T(T(z,y) * u,z) * y). K(x,L(y,z,u) * (u * z)) = K(x,T(T(z,u) * y,z) * u). K(x,T(T(y,z) * u,y) * z) = K(x,L(u,y,z) * (z * y)). K(x,T(T(y,z) * u,y) * w) != v5 | K(x,(u * T(y,z)) * w) = v5. K(x,(y * T(z,u)) * u) = K(x,L(y,z,u) * (u * z)). K(x,L(y,z,u) * (u * z)) = K(x,(y * T(z,u)) * u). K(x,T(y * T(z,u),u)) = K(x,(u * T(u \ z,y)) * y). K(x,(y * T(y \ z,u)) * u) = K(x,T(u * T(z,y),y)). K(x,L(y,z,u) * (u * z)) != w | K(x,(y * ((u \ 1) \ (z * u))) * (1 / u)) = w. K(x,(y * ((z \ 1) \ (u * z))) * (1 / z)) = K(x,(y * T(u,z)) * z). K(x,(y * ((z \ 1) \ (u * z))) / z) = K(x,(y * T(u,z)) * z). K(x,T(y \ ((y / (z \ y)) * ((y \ 1) \ u)),y)) = K(x,(y / z) \ ((y \ 1) \ T(u,y))). K(x,T(T(T(y,z),y * z) * u,y * (y * z))) = K(x,u * (z * T(y / z,u))). K(x,T(T(T(y,z),y * z) * u,z)) = K(x,u * (z * T(y / z,u))). K(x,T(T(T(y,z),y * u) * w,v5)) != v6 | K(x,T(T(T(y,z),u) * w,v5)) = v6. K(x,T(T(T(y,z),z) * u,z)) = K(x,u * (z * T(y / z,u))). K(x,T(y * z,u)) = K(x,z * (u * T(y / u,z))). K(x,y * (z * T(u / z,y))) = K(x,T(u * y,z)). K(x,(y / z) * (u * T(w / u,z * y))) = K(x,T(w * (y / z),u)). K(x,(1 / y) * (z * T(u / z,y))) = K(x,T(u * (1 / y),z)). K(x,y \ (z * T(u / z,y))) = K(x,T(u * (1 / y),z)). K(x,y \ (z * T(u / z,y))) != w | K(x,(u \ z) \ (y \ z)) = w. K(x,(y \ z) \ (u \ z)) = K(x,T(y * (1 / u),z)). K(x,T(y * (1 / z),u)) = K(x,(y \ u) \ (z \ u)). K(x,T(y / z,u)) = K(x,(y \ u) \ (z \ u)). K(x,(y \ z) \ (u \ z)) = K(x,T(y / u,z)). K(x,((y * z) \ y) \ (u \ y)) != w | K(x,u \ (T(z,u) * y)) = w. K(x,y \ (T(z,y) * u)) = K(x,T((u * z) / y,u)). K(x,T((y * z) / u,y)) = K(x,u \ (T(z,u) * y)). K(x,T((y * z) / u,y)) != w | K(x,z / (y \ u)) = w. K(x,y / (z \ u)) = K(x,u \ (T(y,u) * z)). K(x,y \ (T(z,y) * u)) = K(x,z / (u \ y)). K(x,T(y,z) \ (T(u,(y \ z) \ z) * w)) = K(x,u / (w \ ((y \ z) \ z))). K(x,T(y,z) \ (z * u)) = K(x,z / (u \ y)). x \ y != K(z,T(u,w) \ (w * v5)) | x * K(z,w / (v5 \ u)) = y. x * K(x,y / (z \ u)) = T(x,T(u,y) \ (y * z)). T(x,T(y,z) \ (z * u)) = x * K(x,z / (u \ y)). (x * K(y,z / (u \ w))) \ x = K(T(w,z) \ (z * u),y). K(T(x,y) \ (y * z),u) = (w * K(u,y / (z \ x))) \ w. T(x,y / (z \ u)) = T(x,T(u,y) \ (y * z)). T(x,T(y,z) \ (z * u)) = T(x,z / (u \ y)). T(x,T(y,z) \ (z * u)) != w | T(x,z / (u \ y)) = w. T(x,T(y,z) \ (z * (u * w))) = T(x,z / (T(w * u,w) \ y)). T(x,((y \ z) * y) \ (y * u)) = T(x,y / (u \ z)). T(x,y \ (T(z,y) * u)) = T(x,z / (u \ y)). T(x,T(y,z) \ R(z,u,u)) = T(x,z / (a(z,u,u) \ y)). T(x,y / (a(y,z,z) \ u)) = T(x,T(u,y) \ R(y,z,z)). T(x,(y \ z) \ (T(u,y * z) * w)) = T(x,u / (w \ (y \ z))). T(x,((y \ z) \ 1) \ (T(u,z \ y) * w)) = T(x,u / (w \ ((y \ z) \ 1))). T(x,((y / z) \ 1) \ (T(u,z / y) * w)) = T(x,u / (w \ ((y / z) \ 1))). T(x,(y * (z \ 1)) \ (T(u,y * (z \ 1)) * a(z \ y,z,z))) = T(x,u / (y / z)). T(x,y \ (T(z,y) * u)) != w | T(x,z / (u \ y)) = w. T(x,L(y,z,z) \ (T(u,y) * w)) != v5 | T(x,u / (w \ L(y,z,z))) = v5. K(x / (y \ z),u) = K(T(z,x) \ (x * y),u). K(T(x,y) \ (y * z),u) = K(y / (z \ x),u). K(x \ (T(y,x) * z),u) = K(y / (z \ x),u). K(T(x,y) \ z,u) = K(y / ((y \ z) \ x),u). K(x / ((x \ y) \ z),u) = K(T(z,x) \ y,u). K(x \ (T(y,x) * (T(x,z) \ u)),w) != v5 | K((x * (T(x,z) / y)) \ u,w) = v5. K((x * (T(x,y) / z)) \ u,w) = K(z / ((T(x,y) \ u) \ x),w). K(x / ((T(y,z) \ u) \ y),w) = K((y * (T(y,z) / x)) \ u,w). K(x \ (T(y,T(z,u)) * w),v5) != v6 | K(x \ (T(y,z) * w),v5) = v6. K(T(x,y) \ (T(z,x) * u),w) = K(z / (u \ T(x,y)),w). K(x \ ((x \ y) * z),u) = K((y / x) / (z \ x),u). K((x / y) / (z \ y),u) = K(y \ ((y \ x) * z),u). K(((x \ y) \ y) \ (T(z,T(x,y)) * u),w) = K(z / (u \ ((x \ y) \ y)),w). K(((x \ y) \ z) \ x,u) = K(T(z,x) \ y,T(u,x)). K(((x \ y) \ a(z,u,w)) \ x,v5) = K((a(z,u,w) * a(z,u,K(w,x))) \ y,T(v5,x)). K((a(x,y,z) * a(x,y,K(z,u))) \ w,T(v5,u)) = K(((u \ w) \ a(x,y,z)) \ u,v5). x != T(y,z \ R(u,w,w)) | T(y,z \ L(u,w,w)) = x. T(x,T(y,z) \ L(z,u,u)) = T(x,z / (a(z,u,u) \ y)). T(x,y / (a(y,z,z) \ u)) = T(x,T(u,y) \ L(y,z,z)). x != T(y,T(z,u) \ L(u,w,v5)) | T(y,L(u,w,v5) / z) = x. T(x,L(y,z,z) / u) = T(x,y / (a(y,z,z) \ u)). T(x,y / (a(y,z,z) \ u)) = T(x,L(y,z,z) / u). T(x,y / ((z * u) \ w)) = T(x,y / (T(u * z,u) \ w)). T(x,y / (T(z * u,z) \ w)) = T(x,y / ((u * z) \ w)). T(x,y / (T(z,u) \ w)) = T(x,y / (((u \ z) * u) \ w)). T(x,y / (((z \ u) * z) \ w)) = T(x,y / (T(u,z) \ w)). T(x,y / (((z \ u) * z) \ w)) != v5 | T(x,y / ((z * (u / z)) \ w)) = v5. T(x,y / ((z * (u / z)) \ w)) = T(x,y / (T(u,z) \ w)). T(x,y / (((z * u) * ((u \ 1) * (u \ (w / (z * (1 / u)))))) \ v5)) = T(x,y / (T(w,z * (1 / u)) \ v5)). T(x,(y \ z) * (T(u,z * y) * w)) = T(x,u / (w \ (z \ y))). K(x / ((y \ z) \ T(y,u)),w) = K((y * (T(y,u) / x)) \ z,w). K(x,T(y,z) \ (T(u,T(y,z)) * w)) = K(x,u / (w \ ((y \ z) \ z))). K(x,y \ (T(z,y) * u)) != w | K(x,z / (u \ y)) = w. K(x,y / (z \ T(u,w))) = K(x,y / (z \ ((u \ w) \ w))). K(x,y / (z \ ((u \ w) \ w))) = K(x,y / (z \ T(u,w))). x \ y != K(z,u / (w \ ((v5 \ v6) \ v6))) | x * K(z,u / (w \ T(v5,v6))) = y. x * K(x,y / (z \ T(u,w))) = T(x,y / (z \ ((u \ w) \ w))). T(x,y / (z \ ((u \ w) \ w))) = x * K(x,y / (z \ T(u,w))). T(x,y / (z \ T(u,w))) = T(x,y / (z \ ((u \ w) \ w))). T(x,y / (z \ ((u \ w) \ w))) = T(x,y / (z \ T(u,w))). T(T(x,K(y,z * u)),y / (u \ ((z \ w) \ w))) != v5 | T(x,(u \ ((z \ w) \ w)) \ y) = v5. T(x,(y \ ((z \ u) \ u)) \ w) = T(T(x,K(w,z * y)),w / (y \ T(z,u))). T(T(x,K(y,z * u)),y / (u \ T(z,w))) = T(x,(u \ ((z \ w) \ w)) \ y). T(x,((y \ z) \ 1) \ (T(u,z * y) * w)) = T(x,u / (w \ ((y \ z) \ 1))). T(x,y \ (T(z,u / w) * v5)) != v6 | T(x,y \ (T(z,u * w) * v5)) = v6. T(x,((y / z) \ 1) \ (T(u,z * y) * w)) = T(x,u / (w \ ((y / z) \ 1))). K(((x \ y) \ y) \ (T(z,x) * u),w) = K(z / (u \ ((x \ y) \ y)),w). K(((x \ y) \ y) \ z,u) != w | K(T(x,y) \ z,u) = w. K(T(x,y) \ (T(z,x) * u),w) = K(z / (u \ ((x \ y) \ y)),w). K(T(x,y) \ (T(z,x) * u),w) != v5 | K(z / (u \ T(x,y)),w) = v5. K(x / (y \ T(z,u)),w) = K(x / (y \ ((z \ u) \ u)),w). K(x / (y \ ((z \ u) \ u)),w) = K(x / (y \ T(z,u)),w). K(x / ((y \ z) \ ((y \ z) \ z)),u) != w | K(x / (y / (y \ z)),u) = w. K(x / (y / (y \ z)),u) = K(x / ((y \ z) \ T(y,z)),u). K(x / ((y \ z) \ T(y,z)),u) = K(x / (y / (y \ z)),u). K(x / ((y \ z) \ T(y,u)),w) != v5 | K((y * (T(y,u) / x)) \ z,w) = v5. K((x * (T(x,y) / z)) \ y,u) = K(z / (x / (x \ y)),u). K((((x * y) / x) * (T((x * y) / x,T(x,y)) / z)) \ T(x,y),u) = K(z / (((x * y) / x) / (y \ x)),u). T(T(x,K(y,z * u)),y / (u \ T(z,w))) != v5 | T(x,(u \ T(z,w)) \ y) = v5. T(x,(y \ T(z,u)) \ w) = T(x,(y \ ((z \ u) \ u)) \ w). T(x,(y \ ((z \ u) \ u)) \ w) = T(x,(y \ T(z,u)) \ w). T(x,(y \ ((z \ u) \ u)) \ w) != v5 | T(x,(y \ T(z,z \ u)) \ w) = v5. T(x,(y \ T(z,z \ u)) \ w) = T(x,(y \ T(z,u)) \ w). T(x,(y \ T(z,z \ u)) \ w) != v5 | T(x,(y \ (u / (u / z))) \ w) = v5. T(x,(y \ (z / (z / u))) \ w) = T(x,(y \ T(u,z)) \ w). T(x,(y \ (z / (z / u))) \ w) != v5 | T(x,(y \ (u * K(u \ z,u))) \ w) = v5. T(x,(y \ (z * K(z \ u,z))) \ w) = T(x,(y \ T(z,u)) \ w). x != T(y,(z \ T(u,z)) \ w) | T(y,(u / z) \ w) = x. T(x,(y / z) \ u) = T(x,(z \ (y * K(y \ z,y))) \ u). T(x,(y \ (z * K(z \ y,z))) \ u) = T(x,(z / y) \ u). T(x,((y * (z / y)) \ y) \ u) = T(x,(y / z) \ u). T(x,(y \ (y / (z / y))) \ u) = T(x,(y / z) \ u). T(x,((1 / y) \ ((1 / y) / (z / y))) \ u) = T(x,(y / z) \ u). T(x,((1 / y) \ (y / (z / (y \ 1)))) \ u) = T(x,(y / z) \ u). T(x,((1 / y) \ z) \ u) != w | T(x,((y \ 1) \ z) \ u) = w. T(x,((y \ 1) \ (y / (z / (y \ 1)))) \ u) = T(x,(y / z) \ u). K(((x \ 1) \ (x / (y / (x \ 1)))) \ z,u) = u / T(u,(x / y) \ z). K((x / y) \ z,u) = K(((x \ 1) \ (x / (y / (x \ 1)))) \ z,u). K(((x \ 1) \ (x / (y / (x \ 1)))) \ z,u) = K((x / y) \ z,u). x != K((y / z) \ (y \ u),w) | K(y \ ((z \ y) \ u),w) = x. K(x \ ((y \ x) \ z),u) = K(((x \ 1) \ (x / (y / (x \ 1)))) \ (x \ z),u). K(((x \ 1) \ (x / (y / (x \ 1)))) \ (x \ z),u) = K(x \ ((y \ x) \ z),u). T(x,(y \ z) * (T(u,z * y) * w)) = T(x,u / (w \ ((y \ z) \ 1))). T(x,(y \ z) * (T(u,z * y) * w)) != v5 | T(x,u / (w \ (z \ y))) = v5. T(x,y / (z \ (u \ w))) = T(x,y / (z \ ((w \ u) \ 1))). T(x,y / (z \ ((u \ w) \ 1))) = T(x,y / (z \ (w \ u))). T(x,(y / z) * (T(u,z * y) * w)) = T(x,u / (w \ ((y / z) \ 1))). K(((x \ 1) \ y) \ (x \ z),u) != w | K(x \ (((x \ 1) / y) * z),u) = w. K(x \ (((x \ 1) / (x / (y / (x \ 1)))) * z),u) = K(x \ ((y \ x) \ z),u). T(x,(y * (z \ 1)) \ (T(u,y / z) * a(z \ y,z,z))) = T(x,u / (y / z)). T(x,y \ (T(z,u) * a(w,v5,v5))) != v6 | T(x,y \ T(a(w,v5,v5) * z,u)) = v6. T(x,(y * (z \ 1)) \ T(a(z \ y,z,z) * u,y / z)) = T(x,u / (y / z)). T(x,(a(y \ z,y,y) * u) / (z * (y \ 1))) = T(x,u / (z / y)). x != K((y \ a(z,u,w)) \ v5,v6) | K(a(z,u,w) \ (y * v5),v6) = x. K(a(x,y,z) \ ((u \ w) * u),v5) = K((a(x,y,z) * a(x,y,K(z,u))) \ w,T(v5,u)). K((a(x,y,z) * a(x,y,K(z,u))) \ w,T(v5,u)) = K(a(x,y,z) \ ((u \ w) * u),v5). x != K(y \ ((z \ u) * z),w) | K(y \ T(u,z),w) = x. K(a(x,y,z) \ T(u,w),v5) = K((a(x,y,z) * a(x,y,K(z,w))) \ u,T(v5,w)). K((a(x,y,z) * a(x,y,K(z,u))) \ w,T(v5,u)) = K(a(x,y,z) \ T(w,u),v5). K(T(a(x,y,z),u) \ w,T(v5,u)) = K(a(x,y,z) \ T(w,u),v5). K(T(a(x,y,z),u) \ w,v5) != v6 | K(a(x,y,z) \ w,v5) = v6. K(a(x,y,z) \ u,T(w,v5)) = K(a(x,y,z) \ T(u,v5),w). K(a(x,y,z) \ T(u,w),v5) = K(a(x,y,z) \ u,T(v5,w)). K(a(x,y,z) \ u,w) != v5 | K(u * a(x,y,z),w) = v5. K(T(x,y) * a(z,u,w),v5) = K(a(z,u,w) \ x,T(v5,y)). x != K(a(y,z,u) \ w,v5) | K(w * a(y,z,u),v5) = x. K(x * a(y,z,u),T(w,v5)) = K(T(x,v5) * a(y,z,u),w). K(T(x,y) * a(z,u,w),v5) = K(x * a(z,u,w),T(v5,y)). K(x,T(y \ (z * ((y \ 1) \ u)),y)) = K(x,(y / z) \ ((y \ 1) \ T(u,y))). K(x,(y * ((z \ 1) \ u)) / z) = K(x,(z / y) \ ((z \ 1) \ T(u,z))). K(x,(y / z) \ ((y \ 1) \ T(u,y))) = K(x,(z * ((y \ 1) \ u)) / y). K(x,(y / z) \ (u / (y \ 1))) = K(x,(z * ((y \ 1) \ u)) / y). K(x,(y * ((z \ 1) \ u)) / z) = K(x,(z / y) \ (u / (z \ 1))). K(x,(y * ((z \ 1) \ (u * z))) / z) != w | K(x,(y * T(u,z)) * z) = w. K(x,(y * T(z,u)) * u) = K(x,(u / y) \ ((z * u) / (u \ 1))). K(x,(y / z) \ ((u * y) / (y \ 1))) = K(x,(z * T(u,y)) * y). K(x,(y / z) \ (u * ((1 / y) \ y))) = K(x,(z * T(u,y)) * y). K(x,T(y,z * (z * (z \ 1))) \ (u * (z * z))) = K(x,T((z \ (y * (z \ 1))) \ u,z * z)). K(x,T(y,z) \ (u * (z * z))) = K(x,T((z \ (y * (z \ 1))) \ u,z * z)). K(x,T((y \ (z * (y \ 1))) \ u,y * y)) = K(x,T(z,y) \ (u * (y * y))). K(x,T((y \ (z * (y \ 1))) \ u,y * y)) = K(x,(T(z,y) \ u) * (y * y)). K(x,(y \ (z * (y \ 1))) \ u) = K(x,(T(z,y) \ u) * (y * y)). K(x,(y \ (z * (y \ 1))) \ u) != w | K(x,y * (z \ (y * u))) = w. K(x,y * (z \ (y * u))) = K(x,(T(z,y) \ u) * (y * y)). K(x,(T(y,z) \ u) * (z * z)) = K(x,z * (y \ (z * u))). K(x,(T(y,z) \ u) * (z * z)) != w | K(x,T((z \ y) \ (u / (1 / z)),z)) = w. K(x,T((y \ z) \ (u / (1 / y)),y)) = K(x,y * (z \ (y * u))). K(x,T((y \ (z \ y)) \ (u / (1 / y)),y)) != w | K(x,(y / z) \ (u * ((1 / y) \ y))) = w. K(x,(y / z) \ (u * ((1 / y) \ y))) = K(x,y * ((z \ y) \ (y * u))). K(x,(y / z) \ (u * ((1 / y) \ y))) != w | K(x,(z * T(u,y)) * y) = w. K(x,(y * T(z,u)) * u) = K(x,u * ((y \ u) \ (u * z))). K(x,y * ((z \ y) \ (y * u))) = K(x,(z * T(u,y)) * y). K(x,((y / z) \ u) * ((1 / y) \ y)) = K(x,y * ((z \ y) \ (y * u))). K(x,y * ((1 / z) \ z)) != u | K(x,y * (z * z)) = u. K(x,((y / z) \ u) * (y * y)) = K(x,y * ((z \ y) \ (y * u))). K(x,((y / z) \ (z \ u)) * (y * y)) != w | K(x,z \ (((y \ 1) \ z) * u)) = w. K(x,y \ (((z \ 1) \ y) * u)) = K(x,z * ((y \ z) \ (z * (y \ u)))). K(x,y * ((z \ y) \ (y * (z \ u)))) = K(x,z \ (((y \ 1) \ z) * u)). K(x,y * ((z \ y) \ (y * u))) != w | K(x,(z * T(u,y)) * y) = w. K(x,(y * T(y \ z,u)) * u) = K(x,y \ (((u \ 1) \ y) * z)). K(x,y \ (((z \ 1) \ y) * u)) = K(x,(y * T(y \ u,z)) * z). x != K(y,(z * T(z \ u,w)) * w) | K(y,T(w * T(u,z),z)) = x. K(x,T(y * T(z,u),u)) = K(x,u \ (((y \ 1) \ u) * z)). K(x,y \ (((z \ 1) \ y) * u)) = K(x,T(z * T(u,y),y)). K(x,y \ ((((z \ 1) \ 1) \ u) * w)) != v5 | K(x,y \ ((z \ u) * w)) = v5. K(x,y \ ((z \ y) * u)) = K(x,T((z \ 1) * T(u,y),y)). K(x,T((y \ 1) * T(z,u),u)) = K(x,u \ ((y \ u) * z)). K(x,T(y \ T(z,u),u)) = K(x,u \ ((y \ u) * z)). x != K(y,z \ ((u \ z) * (z * w))) | K(y,(u / z) \ w) = x. K(x,(y / z) \ u) = K(x,T(y \ T(z * u,z),z)). K(x,T(y \ T(z * u,z),z)) = K(x,(y / z) \ u). K(x,T(y \ (z * u),u)) = K(x,(y / u) \ z). (x * K(y,(z / u) \ w)) \ x = K(T(z \ (w * u),u),y). K(T(x \ (y * z),z),u) = (w * K(u,(x / z) \ y)) \ w. K((x / y) \ z,u) = K(T(x \ (z * y),y),u). K(T(x \ (y * z),z),u) = K((x / z) \ y,u). K(x \ (y * z),T(u,z)) = K((x / z) \ y,u). K((x * (y \ x)) \ z,T(u,x \ z)) = K((x / (x \ z)) \ y,u). K(x \ ((y \ z) * y),u) != w | K(x \ T(z,y),u) = w. K(x \ T(y,z),T(u,z)) = K((x / z) \ (z \ y),u). K((x / y) \ (y \ z),u) = K(x \ T(z,y),T(u,y)). K((x / y) \ (y \ z),u) != w | K(y \ ((x \ y) * z),u) = w. K(x \ ((y \ x) * z),u) = K(y \ T(z,x),T(u,x)). x != K(y \ T(z,u),T(T(w,z),v5)) | K(T(z,u) / y,T(w,v5)) = x. K(T(x,y) / z,T(u,y)) = K(y \ ((z \ y) * x),T(u,x)). K(x \ ((y \ x) * z),T(u,z)) = K(T(z,x) / y,T(u,x)). K(x \ ((y \ x) * z),u) != w | K(x \ ((x \ y) \ z),u) = w. K(x \ ((x \ y) \ z),u) = K(y \ T(z,x),T(u,x)). (x * y) / (K(z \ T(u,w),T(x,w)) * y) = T(x,w \ ((z \ w) * u)). K(x \ ((x \ (y \ ((1 / y) \ x))) \ z),u) != w | K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = w. K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = K((y \ ((1 / y) \ x)) \ T(z,x),T(u,x)). K(x \ (y * z),T(u,z)) != w | K((x / z) \ y,u) = w. K((x / y) \ (z \ x),u) = K(T(y,x) / z,T(u,x)). K((T(x,y) / z) \ R(y,y * x,y),u) = K(T(z,T(x,y)) / (y \ x),T(u,T(x,y))). K((x * (y \ x)) \ z,T(u,x * z)) = K((x / (x \ z)) \ y,u). K((x * y) \ z,T(u,x * z)) != w | K(x \ (z / y),u) = w. K(x \ (y / (z \ x)),u) = K((x / (x \ y)) \ z,u). K((x / (x \ y)) \ z,u) = K(x \ (y / (z \ x)),u). K((x / (x \ y)) \ z,u) != w | K(((y / x) \ x) \ z,u) = w. K(((x / y) \ y) \ z,u) = K(y \ (x / (z \ y)),u). K(x \ (y / (z \ x)),T(u,y)) != w | K(z / ((y / x) \ x),u) = w. T(x,T(y \ T(z,u),u)) = T(x,u \ ((y \ u) * z)). x != T(y,z \ ((u \ z) * w)) | T(y,z \ ((z \ u) \ w)) = x. T(x,y \ ((y \ z) \ u)) = T(x,T(z \ T(u,y),y)). T(x,T(y \ T(z,u),u)) = T(x,u \ ((u \ y) \ z)). x != T(y,z \ ((u \ z) * w)) | T(y,(u / z) \ (z \ w)) = x. T(x,(y / z) \ (z \ u)) = T(x,T(y \ T(u,z),z)). T(x,T(y \ T(z,u),u)) = T(x,(y / u) \ (u \ z)). x != T(y,z \ ((u \ z) * w)) | T(y,(u * z) \ (z * w)) = x. T(x,(y * z) \ (z * u)) = T(x,T(y \ T(u,z),z)). T(x,T(y \ T(z,u),u)) = T(x,(y * u) \ (u * z)). x != T(T(y,K(z,u * w)),z \ ((w \ z) * u)) | T(y,((z \ w) \ u) / z) = x. T(x,((y \ z) \ u) / y) = T(T(x,K(y,u * z)),T(z \ T(u,y),y)). T(T(x,K(y,z * u)),T(u \ T(z,y),y)) = T(x,((y \ u) \ z) / y). x != T(T(y,K(z,u * w)),z \ ((u \ z) * w)) | T(y,((u \ z) * w) / z) = x. T(x,((y \ z) * u) / z) = T(T(x,K(z,y * u)),T(y \ T(u,z),z)). T(T(x,K(y,z * u)),T(z \ T(u,y),y)) = T(x,((z \ y) * u) / y). x != T(y,z \ ((z \ ((z \ u) * (z \ u))) \ w)) | T(y,z * ((u / (1 / (z \ u))) \ w)) = x. T(x,y * ((z / (1 / (y \ z))) \ u)) = T(x,T(((y \ z) * (y \ z)) \ T(u,y),y)). T(x,T(((y \ z) * (y \ z)) \ T(u,y),y)) = T(x,y * ((z / (1 / (y \ z))) \ u)). T(x,(y / z) * (y \ u)) = T(x,T(z \ T(u,y),y)). T(x,T(y \ T(z,u),u)) = T(x,(u / y) * (u \ z)). x != T(y,((z \ u) * z) \ (z * w)) | T(y,z / (w \ u)) = x. T(x,y / (z \ u)) = T(x,T((y \ u) \ T(z,y),y)). T(x,T((y \ z) \ T(u,y),y)) = T(x,y / (u \ z)). T(x,T(y \ T(z,u),u)) = T(x,u / (z \ (u * y))). T(x,y / (z \ (y * u))) = T(x,T(u \ T(z,y),y)). T(x,T(((y \ 1) * z) \ T(u,y),y)) = T(x,y / (u \ L(z,y,y))). T(T(x,K(y,z * u)),y / (u \ (y * z))) != w | T(x,(u \ (y * z)) \ y) = w. T(x,(y \ (z * u)) \ z) = T(T(x,K(z,u * y)),T(u \ T(y,z),z)). T(T(x,K(y,z * u)),T(z \ T(u,y),y)) = T(x,(u \ (y * z)) \ y). T(T(x,K(y,z * u)),T(u \ T(z,w),y)) != v5 | T(x,u \ T(z,w)) = v5. T(x,y \ T(z,u)) = T(x,((u \ y) \ z) / u). T(x,((y \ z) \ u) / y) = T(x,z \ T(u,y)). T(x,(y \ z) / u) = T(x,(u * y) \ T(z,u)). T(x,(y * z) \ T(u,y)) = T(x,(z \ u) / y). T(x,(((y \ z) / z) \ u) / z) = T(x,(y \ T(z,y \ 1)) \ T(u,z)). T(x,(y \ T(z,y \ 1)) \ T(u,z)) = T(x,(((y \ z) / z) \ u) / z). T(x,(y * z) \ T(u,y)) != w | T(x,(T(y,u) * z) \ u) = w. T(x,(T(y,z) * u) \ z) = T(x,(u \ z) / y). T(x,(y * z) \ L(T(u,y),w,v5)) = T(x,(z \ L(u,w,v5)) / y). T(x,(L(y,z,u) * w) \ y) = T(x,(w \ y) / L(y,z,u)). T(x,(y \ z) / L(z,u,w)) = T(x,(L(z,u,w) * y) \ z). T(x,(y * z) \ T(R(z,u,u),y)) = T(x,a(z,u,u) / y). T(x,(T(y,L(z,u,u)) * (1 / u)) \ L(z,u,u)) = T(x,(u * z) / y). T(x,(y \ T(T(z,u),y \ 1)) \ u) = T(x,(((y \ T(z,u)) / T(z,u)) \ u) / z). T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,(u \ z) / (y \ ((1 / y) \ z))). T(x,(y \ z) / (u \ ((1 / u) \ z))) = T(x,((u \ ((1 / u) \ z)) * y) \ z). T(x,(y * z) \ R(T(z,y),u,u)) = T(x,a(z,u,u) / y). T(x,y \ R(z,u,u)) != w | T(x,y \ L(z,u,u)) = w. T(x,(y * z) \ L(T(z,y),u,u)) = T(x,a(z,u,u) / y). T(x,(y * z) \ L(T(z,y),u,u)) != w | T(x,a(z,u,u) / y) = w. T(x,a(y,z,z) / u) = T(x,(y \ L(y,z,z)) / u). T(x,(y \ L(y,z,z)) / u) = T(x,a(y,z,z) / u). T(x,y \ (z \ L(z,u,u))) = T(x,a(z,u,u) / y). x != T(y,a(z,u,w) / v5) | T(y,v5 \ a(z,u,w)) = x. T(x,y \ a(z,u,u)) = T(x,y \ (z \ L(z,u,u))). T(x,y \ (z \ L(z,u,u))) = T(x,y \ a(z,u,u)). T(T(x,K(y,z * u)),T(z \ T(u,y),y)) != w | T(x,((z \ y) * u) / y) = w. T(x,((y \ z) * u) / z) = T(x,(u \ (z * y)) \ z). T(x,(y \ T(z,y \ 1)) \ u) != w | T(x,(z / y) \ u) = w. T(x,(y / z) \ T(u,y)) = T(x,(((z \ y) / y) \ u) / y). T(x,(((y \ z) / z) \ u) / z) = T(x,(z / y) \ T(u,z)). T(x,(T(y,z) * (1 / u)) \ L(z,u,u)) = T(x,(u * z) / y). T(x,(y * (1 / z)) \ u) != w | T(x,(y * (z \ 1)) \ u) = w. T(x,(T(y,z) * (u \ 1)) \ L(z,u,u)) = T(x,(u * z) / y). T(x,(T(y,z) / u) \ z) = T(x,(u * z) / y). T(x,(y \ z) / (u \ ((u \ 1) \ z))) = T(x,((u \ ((1 / u) \ z)) * y) \ z). T(x,L(y \ z,u,u) / z) = T(x,((u \ ((1 / u) \ z)) * y) \ z). T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,L(u \ z,y,y) / z). T(x,T((y \ z) \ ((y \ z) \ T(u,y)),y)) = T(x,y * ((z / (1 / (y \ z))) \ u)). T(x,(T(y,z) / u) \ z) = T(x,(((u \ T(y,z)) / T(y,z)) \ z) / y). T(x,(((y \ T(z,u)) / T(z,u)) \ u) / z) = T(x,(T(z,u) / y) \ u). x != T(y,(T(z,u) / w) \ u) | T(y,(w * u) / z) = x. T(x,(y * z) / u) = T(x,(((y \ T(u,z)) / T(u,z)) \ z) / u). T(x,(((y \ T(z,u)) / T(z,u)) \ u) / z) = T(x,(y * u) / z). T(x,(((y \ z) / z) \ u) / z) = T(x,(y * u) / z). T(x,(((y \ z) / z) \ u) / z) != w | T(x,(z / y) \ T(u,z)) = w. T(x,(y / z) \ T(u,y)) = T(x,(z * u) / y). T(x,(y / z) \ u) = T(x,(z * T(u,y)) / y). T(x,(y * T(z,u)) / u) = T(x,(u / y) \ z). T(x,y \ T(z,u)) = T(x,((y \ u) * z) / u). T(x,((y \ z) * u) / z) = T(x,y \ T(u,z)). T(x,(y * z) / T(u,z)) = T(x,(u / y) \ z). T(x,((y \ z) * u) / z) != w | T(x,(u \ (z * y)) \ z) = w. T(x,(y \ (z * u)) \ z) = T(x,u \ T(y,z)). T(x,(y * a(z,u,w)) / v5) = T(x,(v5 / y) \ a(z,u,w)). T(x,(y * a(z,u,w)) / v5) != v6 | T(x,(a(z,u,w) * y) / v5) = v6. T(x,(a(y,z,u) * w) / v5) = T(x,(v5 / w) \ a(y,z,u)). T(x,(a(y \ z,y,y) * u) / (z * (y \ 1))) != w | T(x,u / (z / y)) = w. T(x,y / (z / u)) = T(x,((z * (u \ 1)) / y) \ a(u \ z,u,u)). T(x,((y * (z \ 1)) / u) \ a(z \ y,z,z)) = T(x,u / (y / z)). T(x,(y / z) \ a(u,u,y)) != w | T(x,z / L(y,u,u)) = w. T(x,T(y \ (y \ T(z,u)),w)) != v5 | T(x,T(T(y \ (y \ z),u),w)) = v5. T(x,T(T((y \ z) \ ((y \ z) \ u),y),y)) = T(x,y * ((z / (1 / (y \ z))) \ u)). T(x,(y \ z) \ ((y \ z) \ u)) = T(x,y * ((z / (1 / (y \ z))) \ u)). T(x,y * ((z / (1 / (y \ z))) \ u)) = T(x,(y \ z) \ ((y \ z) \ u)). T(x,y * ((z / (1 / (y \ z))) \ u)) != w | T(x,(z \ y) * ((z \ y) * u)) = w. K(x \ R(y,z,y),u) != w | K(x \ y,u) = w. K((T(x,y) / z) \ y,u) = K(T(z,T(x,y)) / (y \ x),T(u,T(x,y))). K(T(x,T(y,z)) / (z \ y),T(u,T(y,z))) = K((T(y,z) / x) \ z,u). K(T(x,T(y,z)) / (z \ y),T(u,y)) = K((T(y,z) / x) \ z,u). x != K((y \ ((1 / y) \ z)) \ u,w) | K(z \ L(u,y,y),w) = x. K(x \ L(T(y,x),z,z),T(u,x)) = K(x \ ((x / (z \ ((1 / z) \ x))) * y),u). K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = K(x \ L(T(z,x),y,y),T(u,x)). K(L(T(x,y),z,z) / y,u) = K(y \ ((y / (z \ ((1 / z) \ y))) * x),u). K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = K(L(T(z,x),y,y) / x,u). x != K(L(T(y,z),u,w) / z,v5) | K(z \ L(y,u,w),v5) = x. K(x \ L(y,z,z),u) = K(x \ ((x / (z \ ((1 / z) \ x))) * y),u). K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = K(x \ L(z,y,y),u). K(x,T(y,z * (u \ (u \ w)))) != v5 | K(x,T(y,w * L(z,u,u))) = v5. K(x,T(T((y * z) / y,u),y * L(u,w,w))) = K(x,L(T(z,w \ (w \ 1)),w \ (w \ y),u)). K(x,T(T((y * z) / y,u),w)) != v5 | K(x,T(T(T(z,y),u),w)) = v5. K(x,T(T(T(y,z),u),z * L(u,w,w))) = K(x,L(T(y,w \ (w \ 1)),w \ (w \ z),u)). K(x,L(T(y,z * (z \ 1)),z \ (z \ u),w)) = K(x,T(T(T(y,u),w),u * L(w,z,z))). K(x,T(T(T(y,z),u),z * L(u,w,w))) = K(x,L(T(y,w * (w \ 1)),w \ (w \ z),u)). K(x,T(T(T(y,z),u),z * L(u,w,w))) = K(x,L(T(y,1),w \ (w \ z),u)). K(x,T(T(T(y,z),u),z * L(u,w,w))) = K(x,L(y,w \ (w \ z),u)). K(x,T(y,z * L(u,w,w))) != v5 | K(x,T(y,z * u)) = v5. K(x,T(T(T(y,z),u),z * u)) = K(x,L(y,w \ (w \ z),u)). K(x,T(T(T(y,z),u),z * u)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u)) = K(x,L(y,w \ (w \ u),z)). K(x,L(y,z \ (z \ u),w)) = K(x,L(y,w,u)). K((x \ (y \ ((1 / z) \ u))) \ w,L(v5,y \ (z \ u),x)) != v6 | K((y \ ((1 / z) \ u)) \ (x * w),v5) = v6. K((x \ ((1 / x) \ y)) \ (z * u),w) = K((z \ (x \ ((1 / x) \ y))) \ u,L(w,z,y)). K((x \ (y \ ((1 / y) \ z))) \ u,L(w,x,z)) = K((y \ ((1 / y) \ z)) \ (x * u),w). K((x \ (y \ ((1 / y) \ x))) \ z,u) = K((y \ ((1 / y) \ x)) \ (x * z),u). K(x \ L(x * y,z,z),u) = K((x \ (z \ ((1 / z) \ x))) \ y,u). K((x \ (y \ ((1 / y) \ x))) \ z,u) = K(x \ L(x * z,y,y),u). K((x \ (y \ ((1 / y) \ x))) \ z,u) = K(x * L(x \ z,y,y),u). K(a(x,x,x \ (x \ y)) \ z,u) = K(y * L(y \ z,x,x),u). K((x \ (y \ ((1 / y) \ x))) \ (z / (z / (z / x))),u) = K(x * L((z / (z / x)) \ (z / x),y,y),u). K(x * a(y,y,y \ (y \ z)),u) = K(z * L(z \ x,y,y),u). K(x * L(x \ y,z,z),u) = K(y * a(z,z,z \ (z \ x)),u). x != K(y * a(z,z,u),w) | K(y * a(v5,v5,v6),w) = x. K(x * a(y,y,z),u) = K(w * L(w \ x,v5,v5),u). K(x * L(x \ y,z,z),u) = K(y * a(w,w,v5),u). x != T(y,T(z,u \ 1)) | T(y,T(z,u)) = x. T(x,T(T(y * (z \ 1),z \ 1) \ u,z)) = T(x,(z \ 1) \ (y \ T(a(z,z,z) * u,z \ 1))). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,T(T(z * (y \ 1),y \ 1) \ u,y)). x != T(y,T(T(z,u \ w) \ v5,v6)) | T(y,T(T(z,u * w) \ v5,v6)) = x. T(x,T(T(y * (z \ 1),z * 1) \ u,z)) = T(x,(z \ 1) \ (y \ T(a(z,z,z) * u,z \ 1))). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,T(T(z * (y \ 1),y * 1) \ u,y)). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,T(T(z * (y \ 1),y) \ u,y)). x != T(y,T(T(z * (u \ 1),u) \ w,v5)) | T(y,T(((u \ 1) * z) \ w,v5)) = x. T(x,T(((y \ 1) * z) \ u,y)) = T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))). T(x,(y \ 1) \ (z \ T(a(y,y,y) * u,y \ 1))) = T(x,T(((y \ 1) * z) \ u,y)). T(x,y \ (z \ T(a(u,u,u) * w,u \ 1))) != v5 | T(x,y \ (z \ T(w,u))) = v5. T(x,(y \ 1) \ (z \ T(u,y))) = T(x,T(((y \ 1) * z) \ u,y)). T(x,T(((y \ 1) * z) \ u,y)) = T(x,(y \ 1) \ (z \ T(u,y))). T(x,y * (z \ T(u,y))) = T(x,T(((y \ 1) * z) \ u,y)). T(x,T(((y \ 1) * z) \ u,y)) = T(x,y * (z \ T(u,y))). T(x,T(((y \ 1) * z) \ T(u,y),y)) != w | T(x,y / (u \ L(z,y,y))) = w. T(x,y / (z \ L(u,y,y))) = T(x,y * (u \ T(T(z,y),y))). T(x,y * (z \ T(T(u,y),y))) = T(x,y / (u \ L(z,y,y))). T(x,y * (z \ T(T(u,w),w))) != v5 | T(x,y * (z \ u)) = v5. T(x,y * (z \ u)) = T(x,y / (u \ L(z,y,y))). T(x,y / (z \ L(u,y,y))) = T(x,y * (u \ z)). K(x \ (y / (y / z)),u) != w | K(x \ T(z,y),u) = w. K((x \ (y \ ((1 / y) \ x))) \ T(z / x,z),u) = K(x * L((z / (z / x)) \ (z / x),y,y),u). K(x \ T(y / z,y),u) != w | K(x \ (z \ y),u) = w. K((x \ (y \ ((1 / y) \ x))) \ (x \ z),u) = K(x * L((z / (z / x)) \ (z / x),y,y),u). K(x * L((y / (y / x)) \ (y / x),z,z),u) = K((x \ (z \ ((1 / z) \ x))) \ (x \ y),u). x != K((y \ z) \ (y \ u),w) | K(y \ ((y / z) * u),w) = x. K(x \ ((x / (y \ ((1 / y) \ x))) * z),u) = K(x * L((z / (z / x)) \ (z / x),y,y),u). K(x * L((y / (y / x)) \ (y / x),z,z),u) = K(x \ ((x / (z \ ((1 / z) \ x))) * y),u). x != K(y \ ((y / (z \ ((1 / z) \ y))) * u),w) | K(y \ L(u,z,z),w) = x. K(x \ L(y,z,z),u) = K(x * L((y / (y / x)) \ (y / x),z,z),u). K(x * L((y / (y / x)) \ (y / x),z,z),u) = K(x \ L(y,z,z),u). K(x * L(x \ (y / (y / (y / x))),z,z),u) = K(x \ L(y,z,z),u). K(x * L(x \ y,z,z),u) != w | K(y * a(v5,v5,v6),u) = w. K((x / (x / (x / y))) * a(z,z,u),w) = K(y \ L(x,v5,v5),w). K(x \ L(y,z,z),u) = K((y / (y / (y / x))) * a(w,w,v5),u). x != K((y / (y / z)) * u,w) | K(T(z,y) * u,w) = x. K(T(x / y,x) * a(z,z,u),w) = K(y \ L(x,v5,v5),w). K(x \ L(y,z,z),u) = K(T(y / x,y) * a(w,w,v5),u). x != K(T(y,z) * a(u,w,v5),v6) | K(y * a(u,w,v5),T(v6,z)) = x. K((x / y) * a(z,z,u),T(w,x)) = K(y \ L(x,v5,v5),w). K(x \ L(y,z,z),u) = K((y / x) * a(w,w,v5),T(u,y)). x != K((y / z) * a(u,u,z),w) | K(y / L(z,u,u),w) = x. K(x / L(y,z,z),T(u,x)) = K(y \ L(x,w,w),u). K(x \ L(y,z,z),u) = K(y / L(x,w,w),T(u,y)). x != K(y / z,T(u,y)) | K(z \ y,u) = x. K(L(x,y,y) \ z,u) = K(x \ L(z,w,w),u). (x * y) / (K(z \ L(u,w,w),x) * y) = T(x,L(z,v5,v5) \ u). T(x,L(y,z,z) \ u) = (x * w) / (K(y \ L(u,v5,v5),x) * w). x != (y * z) / (K(u,y) * z) | T(y,u) = x. T(x,y \ L(z,u,u)) = T(x,L(y,w,w) \ z). T(x,L(y,z,z) \ u) = T(x,y \ L(u,w,w)). T(x,y / (z \ L(u,w,w))) = T(x,u \ L(T(y,u) * z,v5,v5)). T(x,y \ L(T(z,y) * u,w,w)) = T(x,z / (u \ L(y,v5,v5))). T(x,y \ z) = T(x,y \ L(z,u,u)). T(x,y \ L(z,u,u)) = T(x,y \ z). T(x,L(y,z,z) \ (y / u)) != w | T(x,u \ a(z,z,y)) = w. T(x,y \ a(z,z,u)) = T(x,u \ L(u / y,w,w)). T(x,y \ L(y / z,u,u)) = T(x,z \ a(w,w,y)). T(x,L(y,z,z) \ (z * u)) != w | T(x,y \ ((z \ 1) \ u)) = w. T(x,y \ ((z \ 1) \ u)) = T(x,y \ L(z * u,w,w)). T(x,y \ L(z * u,w,w)) = T(x,y \ ((z \ 1) \ u)). T(x,y \ L(z,u,u)) != w | T(x,y \ z) = w. T(x,(y / z) \ u) = T(x,(y * (z \ 1)) \ u). T(x,(y * (z \ 1)) \ u) = T(x,(y / z) \ u). T(x,y \ (z * u)) = T(x,y \ ((z \ 1) \ u)). T(x,y \ ((z \ 1) \ u)) = T(x,y \ (z * u)). T(T(x,K(y,z * u)),(z * (u \ 1)) \ y) != w | T(x,y / (z * (u \ 1))) = w. T(x,y / (z * (u \ 1))) = T(T(x,K(y,z * u)),(z / u) \ y). T(T(x,K(y,z * u)),(z / u) \ y) = T(x,y / (z * (u \ 1))). x != T(y,z \ (u * (z \ 1))) | T(y,z \ (u / z)) = x. T(x,y \ (z / y)) = T(x,y \ ((z \ 1) \ (y \ 1))). T(x,y \ ((z \ 1) \ (y \ 1))) = T(x,y \ (z / y)). T(x,y \ (((z \ u) \ 1) \ w)) != v5 | T(x,(z \ u) * (T(y,u * z) \ w)) = v5. T(x,(y \ z) * (T(u,z * y) \ w)) = T(x,u \ ((y \ z) * w)). T(x,L(y,z,u) \ ((y \ 1) \ 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)). T(x,L(y,z,u) \ (y * w)) = T(x,y * (L(y,z,u) \ w)). T(x,(y * (1 / z)) \ ((y * (1 / z)) \ 1)) = T(((z \ 1) * x) / (z \ 1),y \ (z / y)). T(((x \ 1) * y) / (x \ 1),z \ (x / z)) = T(y,(z * (1 / x)) \ ((z * (1 / x)) \ 1)). T(x,y \ L(T(z,u) * w,v5,v5)) = T(x,y \ ((z \ K(u,z)) \ w)). T(x,L(y,z,u) \ w) = T(x,y * (L(y,z,u) \ (y \ w))). T(x,y * (L(y,z,u) \ (y \ w))) = T(x,L(y,z,u) \ w). T(x,y \ (T(z,y) * u)) = T(x,z / (u \ L(y,w,w))). T(x,y / (z \ u)) = T(x,y / (z \ L(u,w,w))). T(x,y / (z \ L(u,w,w))) = T(x,y / (z \ u)). T(x,y / (z \ L(u,y,y))) != w | T(x,y * (u \ z)) = w. T(x,y * (z \ u)) = T(x,y / (u \ z)). T(x,y / (z \ u)) = T(x,y * (u \ z)). T(x,y / (z \ u)) != w | T(x,y / (z \ L(u,v5,v5))) = w. T(x,y / (z \ L(u,w,w))) = T(x,y * (u \ z)). T(x,y / (z \ ((u \ w) \ 1))) != v5 | T(x,y / (z \ (w \ u))) = v5. T(x,y / (z \ (u \ w))) = T(x,y * (((w \ u) \ 1) \ z)). T(x,y * (((z \ u) \ 1) \ w)) = T(x,y / (w \ (u \ z))). T(x,y / (z \ u)) != w | T(x,y * (u \ z)) = w. T(x,y * (L(z,u,u) \ w)) = T(x,y * (z \ w)). T(x,y * (L(z / (1 / u),u,u) \ w)) != v5 | T(x,y * ((z * u) \ w)) = v5. T(x,y * ((z * u) \ w)) = T(x,y * ((z / (1 / u)) \ w)). T(x,y * ((z / (1 / u)) \ w)) = T(x,y * ((z * u) \ w)). T(x,y * ((z * (y \ z)) \ u)) != w | T(x,(z \ y) * ((z \ y) * u)) = w. T(T(x,K(y,z * u)),(u / z) * y) = T(x,y / (z * (u \ 1))). T(x,y \ ((z \ u) \ w)) = T(x,y \ ((u \ z) * w)). T(x,y / (z * (u \ 1))) != w | T(x,y * (u / z)) = w. T(((x \ 1) * y) / (x \ 1),z \ (x / z)) = T(y,(1 / x) \ (z \ ((z * (1 / x)) \ 1))). x != T(y,(1 / z) \ u) | T(y,z * u) = x. T(x,y * (z \ ((z * (1 / y)) \ 1))) = T(((y \ 1) * x) / (y \ 1),z \ (y / z)). T(((x \ 1) * y) / (x \ 1),z \ (x / z)) = T(y,x * (z \ ((z * (1 / x)) \ 1))). x != T(y,z * (u \ ((u * (1 / z)) \ 1))) | T(y,(u \ z) * (u \ z)) = x. T(x,(y \ z) * (y \ z)) = T(((z \ 1) * x) / (z \ 1),y \ (z / y)). T(((x \ 1) * y) / (x \ 1),z \ (x / z)) = T(y,(z \ x) * (z \ x)). T(((L(x,y,z) \ 1) * u) / (L(x,y,z) \ 1),x \ (L(x,y,z) / x)) = T(u,T(x \ L(x,y,z),x) * (x \ L(x,y,z))). T(x,y / (((z * u) * (T(w,u * u) / (z * u))) \ v5)) = T(x,y / (T(w,z * (1 / u)) \ v5)). T(x,y / (T((z * u) * (w / (z * u)),u * u) \ v5)) = T(x,y / (T(w,z * (1 / u)) \ v5)). T(x,y / (((z * u) * (w / (z * u))) \ v5)) = T(x,y / (T(w,z * (1 / u)) \ v5)). T(x,y / ((z * (u / z)) \ w)) != v5 | T(x,y / (T(u,z) \ w)) = v5. T(x,y / (T(z,u * w) \ v5)) = T(x,y / (T(z,u * (1 / w)) \ v5)). T(x,y / (T(z,u * (1 / w)) \ v5)) = T(x,y / (T(z,u * w) \ v5)). T(x,y / (T(z,u / w) \ v5)) = T(x,y / (T(z,u * w) \ v5)). T(x,y / (T(z,u / w) \ (w \ u))) != v5 | T(x,y / (T(u / w,w) / z)) = v5. T(x,y / (T(z / u,u) / w)) = T(x,y / (T(w,z * u) \ (u \ z))). T(x,y / (T(z,u * w) \ (w \ u))) = T(x,y / (T(u / w,w) / z)). T(x,y / (T(z,u * w) \ (w \ u))) = T(x,y / ((w \ u) / z)). K((((x * y) / x) * (T(y,K(x,y)) / z)) \ T(x,y),u) = K(z / (((x * y) / x) / (y \ x)),u). K((((x * y) / x) * (y / z)) \ T(x,y),u) = K(z / (((x * y) / x) / (y \ x)),u). K((x * (x / y)) \ z,u) = K(y / (((z * x) / z) / (x \ z)),u). K(x / (((y * z) / y) / (z \ y)),u) = K((z * (z / x)) \ y,u). K(x / (((y * z) / y) / u),w) != v5 | K(x / (T(z,y) / u),w) = v5. K(x / (T(y,z) / (y \ z)),u) = K((y * (y / x)) \ z,u). K(x / (T(y,z) / (y \ z)),u) != w | K(x / ((y \ z) \ y),u) = w. K(x / ((y \ z) \ y),u) = K((y * (y / x)) \ z,u). K(x / (((y \ 1) * (y \ z)) \ y),u) = K((y * (y / x)) \ ((1 / y) * z),u). (x * y) / (K((z * (z / u)) \ w,x) * y) = T(x,u / ((z \ w) \ z)). T(x,(y * (y / z)) \ u) = T(x,z / ((y \ u) \ y)). T(x,y / ((z \ u) \ z)) = T(x,(z * (z / y)) \ u). T(T(x,K(y,z)),y / ((u \ z) \ u)) != w | T(x,((u \ z) \ u) \ y) = w. T(x,((y \ z) \ y) \ u) = T(T(x,K(u,z)),(y * (y / u)) \ z). T(T(x,K(y,z)),(u * (u / y)) \ z) = T(x,((u \ z) \ u) \ y). T(x,y / (z \ u)) = T(x,(u * (u / y)) \ (u * z)). T(x,(y * (y / z)) \ (y * u)) = T(x,z / (u \ y)). T(x,y \ ((y / (y / z)) * u)) = T(x,z / (u \ y)). T(x,y \ R(y / (y / z),u,u)) = T(x,z / (a(y / (y / z),u,u) \ y)). T(x,y / (a(z / (z / y),u,u) \ z)) = T(x,z \ R(z / (z / y),u,u)). T(T(x,K(y,z)),(u * (u / y)) \ z) != w | T(x,z / (u * (u / y))) = w. T(x,y / (z * (z / u))) = T(x,((z \ y) \ z) \ u). T(x,T(y / (z / u),z)) = T(x,((z \ (z * y)) \ z) \ u). T(x,((y \ (y * z)) \ y) \ u) = T(x,T(z / (y / u),y)). T(x,(y \ z) \ u) = T(x,T(y / (z / u),z)). T(x,T(y / (z / u),z)) = T(x,(y \ z) \ u). T(x,T(y / (T(z,z * u) * u),z * (z * u))) = T(x,(y \ (z * (z * u))) \ z). K(x / (y \ (z * ((z \ 1) \ z))),u) = K((z * (z / x)) \ ((1 / z) * y),u). T(x,y \ L(y / (y / z),u,u)) = T(x,z / (a(y / (y / z),u,u) \ y)). T(x,y / (a(z / (z / y),u,u) \ z)) = T(x,z \ L(z / (z / y),u,u)). K(x / (y \ (z * (z * z))),u) = K((z * (z / x)) \ ((1 / z) * y),u). K((x * (x / y)) \ ((1 / x) * z),u) = K(y / (z \ (x * (x * x))),u). K((x * (x / y)) \ ((1 / x) * z),u) = K(y / ((z \ x) * (x * x)),u). K(x \ (x \ (y / (z \ x))),u) = K((x * (x / y)) \ ((1 / x) * z),u). K((x * (x / y)) \ ((1 / x) * z),u) = K(x \ (x \ (y / (z \ x))),u). K((x * (x / y)) \ ((x \ 1) * z),u) = K(x \ (x \ (y / (z \ x))),u). K((x * y) \ ((x \ 1) * z),u) != w | K(x \ (((x \ 1) / y) * z),u) = w. K(x \ (((x \ 1) / (x / y)) * z),u) = K(x \ (x \ (y / (z \ x))),u). K(x \ (((x \ 1) / (x / (y / (x \ 1)))) * z),u) != w | K(x \ ((y \ x) \ z),u) = w. K(x \ ((y \ x) \ z),u) = K(x \ (x \ ((y / (x \ 1)) / (z \ x))),u). K(x \ (x \ ((y / (x \ 1)) / (z \ x))),u) = K(x \ ((y \ x) \ z),u). K(x \ (x \ ((y / (x \ z)) / u)),w) != v5 | K((y / ((x \ 1) \ z)) / u,w) = v5. K((x / ((y \ 1) \ 1)) / (z \ y),u) = K(y \ ((x \ y) \ z),u). K((x / ((y \ z) \ z)) / u,w) != v5 | K((x / T(y,z)) / u,w) = v5. K((x / T(y,1)) / (z \ y),u) = K(y \ ((x \ y) \ z),u). K((x / y) / (z \ y),u) = K(y \ ((x \ y) \ z),u). K((x / y) / (z \ y),u) != w | K(y \ ((y \ x) * z),u) = w. K(x \ ((x \ y) * z),u) = K(x \ ((y \ x) \ z),u). K(x \ ((y \ x) \ z),u) = K(x \ ((x \ y) * z),u). K(x \ ((y \ x) \ T(z,x * (y * z))),u) != w | K(x \ (z / (y \ x)),u) = w. K(x \ (y / (z \ x)),u) = K(x \ ((x \ z) * T(y,x * (z * y))),u). K(x \ ((x \ y) * T(z,x * (y * z))),u) = K(x \ (z / (y \ x)),u). K(x \ ((x \ y) * T(z,x * y)),u) = K(x \ (z / (y \ x)),u). K(x \ ((y \ z) * T(u,y * z)),w) != v5 | K(x \ (u * (y \ z)),w) = 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) \ z),u) = K(z \ (y * (z \ x)),T(u,y)). K(x \ (y * (x \ z)),T(u,y)) = K(z / ((y / x) \ x),u). K(x / (y * (z \ y)),u) = K(x / ((z / y) \ y),u). K(x / ((y / z) \ z),u) = K(x / (z * (y \ z)),u). (x * y) / (K(z / (u * (w \ u)),x) * y) = T(x,z / ((w / u) \ u)). T(x,y / (z * (u \ z))) = T(x,y / ((u / z) \ z)). T(x,y / ((z / u) \ u)) = T(x,y / (u * (z \ u))). T(T(x,K(y,z)),y / ((z / u) \ u)) != w | T(x,((z / u) \ u) \ y) = w. T(x,((y / z) \ z) \ u) = T(T(x,K(u,y)),u / (z * (y \ z))). T(T(x,K(y,z)),y / (u * (z \ u))) = T(x,((z / u) \ u) \ y). T(x,y \ (z * (y \ u))) = T(x,((z / y) \ y) \ u). T(x,((y / z) \ z) \ u) = T(x,z \ (y * (z \ u))). T(x,y \ (((z / u) \ u) \ w)) = T(x,u \ (z * (u \ (T(y,z) \ w)))). T(x,y \ (z * (y \ (T(u,z) \ w)))) = T(x,u \ (((z / y) \ y) \ w)). T(x,(y \ (z / y)) * u) = T(x,y \ (z * (y \ u))). T(x,y \ (z * (y \ u))) = T(x,(y \ (z / y)) * u). T(x,y \ ((z * (y \ z)) \ u)) = T(x,(z \ (y / z)) * (y \ u)). x != T(y,(z \ (u / z)) * (u \ w)) | T(y,z \ (T(z,u) \ w)) = x. T(x,y \ (T(y,z) \ u)) = T(x,z \ ((y * (z \ y)) \ u)). T(x,y \ ((z * (y \ z)) \ u)) = T(x,z \ (T(z,y) \ u)). T(x,y \ ((z * (u \ z)) \ w)) = T(x,y \ (((u / z) \ z) \ w)). T(x,y \ (((z / u) \ u) \ w)) = T(x,y \ ((u * (z \ u)) \ w)). T(x,y \ ((z \ u) \ w)) != v5 | T(x,y \ ((u \ z) * w)) = v5. T(x,y \ ((z \ (u / z)) * w)) = T(x,y \ ((z * (u \ z)) \ w)). T(x,y \ ((z * (u \ z)) \ w)) = T(x,y \ ((z \ (u / z)) * w)). T(x,y \ ((z * (y \ z)) \ u)) != w | T(x,z \ (T(z,y) \ u)) = w. T(x,y \ (T(y,z) \ u)) = T(x,z \ ((y \ (z / y)) * u)). T(x,y \ ((z \ (y / z)) * u)) = T(x,z \ (T(z,y) \ u)). T(x,y / (a((z / y) \ z,u,u) \ z)) = T(x,z \ L(z / (z / y),u,u)). T(x,y / (a(y,z,z) \ u)) = T(x,u \ L(u / (u / y),z,z)). T(x,y \ L(y / (y / z),u,u)) = T(x,z / (a(z,u,u) \ y)). x != T(y,z / (a(z,u,u) \ w)) | T(y,L(z,u,u) / w) = x. T(x,L(y,z,z) / u) = T(x,u \ L(u / (u / y),z,z)). T(x,y \ L(y / (y / z),u,u)) = T(x,L(z,u,u) / y). T(x,y \ L(y / z,u,u)) != w | T(x,z \ a(v5,v5,y)) = w. T(x,(y / z) \ a(u,u,y)) = T(x,L(z,w,w) / y). T(x,y / L(z,u,u)) = T(x,L(y,w,w) / z). T(x,L(y,z,z) / u) = T(x,y / L(u,w,w)). T(x,L(y \ z,u,u) / z) != w | T(x,((u \ ((1 / u) \ z)) * y) \ z) = w. T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,(u \ z) / L(z,w,w)). T(x,T(y / (T(z,z * u) * u),u)) = T(x,(y \ (z * (z * u))) \ z). T(x,T(y / (T(z,z * u) * u),w)) != v5 | T(x,T(y / (u * z),w)) = v5. T(x,T(y / (z * u),z)) = T(x,(y \ (u * (u * z))) \ u). x != T(y,(z \ (u * w)) \ u) | T(y,w \ T(z,u)) = x. T(x,(y * z) \ T(u,y)) = T(x,T(u / (z * y),z)). T(x,T(y / (z * u),z)) = T(x,(u * z) \ T(y,u)). x != T(y,(z * u) \ T(w,z)) | T(y,(u \ w) / z) = x. T(x,(y \ z) / u) = T(x,T(z / (y * u),y)). T(x,T(y / (z * u),z)) = T(x,(z \ y) / u). T(x,T(y / (L(y,z,u) * w),L(y,z,u))) = T(x,(y / L(y,z,u)) / w). T(x,T(y / ((z \ ((1 / z) \ y)) * u),z \ ((1 / z) \ y))) = T(x,T((z \ ((1 / z) \ y)) \ y,w) / u). T(x,T(y / (L(y,z,u) * w),y)) = T(x,(y / L(y,z,u)) / w). T(x,(L(y,z,u) * w) \ y) = T(x,(y / L(y,z,u)) / w). T(x,(y / L(y,z,u)) / w) = T(x,(L(y,z,u) * w) \ y). T(x,(L(y,z,u) \ y) / w) = T(x,(L(y,z,u) * w) \ y). T(x,y \ (L(z,u,w) \ z)) = T(x,(L(z,u,w) * y) \ z). T(x,(L(y,z,u) * w) \ y) = T(x,w \ (L(y,z,u) \ y)). T(x,(L(y,z,u) * w) \ y) != v5 | T(x,(w \ y) / L(y,z,u)) = v5. T(x,(y \ z) / L(z,u,w)) = T(x,y \ (L(z,u,w) \ z)). T(x,T(y / ((z \ ((1 / z) \ y)) * u),z \ ((z / 1) * y))) = T(x,T((z \ ((1 / z) \ y)) \ y,w) / u). T(x,T(y / ((z \ ((1 / z) \ y)) * u),z \ (z * y))) = T(x,T((z \ ((1 / z) \ y)) \ y,w) / u). T(x,T(y / ((z \ ((1 / z) \ y)) * u),y)) = T(x,T((z \ ((1 / z) \ y)) \ y,w) / u). T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,T((y \ ((1 / y) \ z)) \ z,w) / u). T(x,T((y \ ((1 / y) \ z)) \ z,u) / w) = T(x,((y \ ((1 / y) \ z)) * w) \ z). T(((L(x,y,z) \ 1) * u) / (L(x,y,z) \ 1),x \ (x \ L(x,y,z))) = T(u,T(x \ L(x,y,z),x) * (x \ L(x,y,z))). T(x,y \ (y \ L(y,z,u))) != w | T(x,L(y \ 1,z,u)) = w. T(((L(x,y,z) \ 1) * u) / (L(x,y,z) \ 1),L(x \ 1,y,z)) = T(u,T(x \ L(x,y,z),x) * (x \ L(x,y,z))). (L(x,y,z) \ 1) \ ((L(x,y,z) \ 1) * u) = T(u,T(x \ L(x,y,z),x) * (x \ L(x,y,z))). T(x,T(y \ L(y,z,u),y) * (y \ L(y,z,u))) = (L(y,z,u) \ 1) \ ((L(y,z,u) \ 1) * x). x = T(x,T(y \ L(y,z,u),y) * (y \ L(y,z,u))). T(x,T(y \ L(y,z,u),y) * (y \ L(y,z,u))) = x. T(x,(y \ L(y,z,u)) * (y \ L(y,z,u))) = x. T(x,L(y,z,u) * (y \ (y \ L(y,z,u)))) = x. T(T(x,y * (L(y,z,u) \ w)),L(y,z,u) * (y \ (y \ L(y,z,u)))) != v5 | T(T(x,(L(y,z,u) \ y) \ w),1) = v5. T(T(x,(L(y,z,u) \ y) \ w),1) = T(x,y * (L(y,z,u) \ w)). T(T(x,L(y,z,u) * (y \ w)),1) = T(x,y * (L(y,z,u) \ w)). T(x,L(y,z,u) * (y \ w)) = T(x,y * (L(y,z,u) \ w)). T(x,L(y,z,u) * (y \ (w \ 1))) != v5 | T(x,w \ (y \ L(y,z,u))) = v5. T(x,y \ (z \ L(z,u,w))) = T(x,z * (L(z,u,w) \ (y \ 1))). T(x,y * (L(y,z,u) \ (w \ 1))) = T(x,w \ (y \ L(y,z,u))). T(x,L(y,z,u) * (y \ (y \ w))) != v5 | T(x,L(y \ 1,z,u) * w) = v5. T(x,L(y \ 1,z,u) * w) = T(x,y * (L(y,z,u) \ (y \ w))). T(x,y * (L(y,z,u) \ (y \ w))) = T(x,L(y \ 1,z,u) * w). T(x,y \ (L(z,u,w) \ z)) = T(x,y \ (z \ L(z,u,w))). T(x,y \ (L(z,u,w) \ z)) != v5 | T(x,(y \ z) / L(z,u,w)) = v5. T(x,(y \ z) / L(z,u,w)) = T(x,y \ (z \ L(z,u,w))). T(x,(y \ z) / L(z,u,u)) != w | T(x,((v5 \ ((1 / v5) \ z)) * y) \ z) = w. T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,u \ (z \ L(z,w,w))). T(x,y * (L(y,z,u) \ (y \ w))) != v5 | T(x,L(y,z,u) \ w) = v5. T(x,L(y,z,u) \ w) = T(x,L(y \ 1,z,u) * w). T(x,L(y \ 1,z,u) * w) = T(x,L(y,z,u) \ w). T(x,L(1 / y,z,u) * w) = T(x,L(y,z,u) \ w). T(x,L(y,z,u) * w) = T(x,L(1 / y,z,u) \ w). T(x,L(1 / y,z,u) \ w) = T(x,L(y,z,u) * w). T(T(x,L(y,z,u) \ w),L(1 / y,z,u) \ (y * (L(y,z,u) \ y))) = T(T(x,L(1 / y,z,u) \ w),1). x != T(y,z \ (u \ L(u,w,w))) | T(y,z \ a(u,w,w)) = x. T(x,y \ a(z,u,u)) = T(x,((w \ ((1 / w) \ z)) * y) \ z). T(x,((y \ ((1 / y) \ z)) * u) \ z) = T(x,u \ a(z,w,w)). T(x,((y \ ((1 / y) \ z)) * u) \ z) != w | T(x,T((y \ ((1 / y) \ z)) \ z,v5) / u) = w. T(x,T((y \ ((1 / y) \ z)) \ z,u) / w) = T(x,w \ a(z,v5,v5)). T(x,y \ a(z,u,u)) = T(x,T((w \ ((1 / w) \ z)) \ z,v5) / y). x != T(y,T(z,u * u) / w) | T(y,z / w) = x. T(x,((y \ ((1 / y) \ z)) \ z) / u) = T(x,u \ a(z,w,w)). T(x,y \ a(z,u,u)) = T(x,((w \ ((1 / w) \ z)) \ z) / y). x != T(y,((z \ ((1 / z) \ u)) \ u) / w) | T(y,w \ 1) = x. T(x,y \ 1) = T(x,y \ a(z,u,u)). T(x,y \ a(z,u,u)) = T(x,y \ 1). T(x,((y * (z \ 1)) / u) \ a(z \ y,z,z)) != w | T(x,u / (y / z)) = w. T(x,y / (z / u)) = T(x,((z * (u \ 1)) / y) \ 1). T(x,((y * (z \ 1)) / u) \ 1) = T(x,u / (y / z)). T(x,(y / z) \ 1) != u | T(x,z / y) = u. T(x,y / (z * (u \ 1))) = T(x,y / (z / u)). T(x,y * (z / u)) = T(x,y / (u / z)). T(x,y / (z / u)) = T(x,y * (u / z)). T(x,y / (z / u)) != w | T(x,y * (u / z)) = w. x != T(y,(z \ u) * w) | T(y,(u \ z) \ w) = x. T(x,(y \ z) \ (u / w)) = T(x,(z \ y) / (w / u)). T(x,(y \ z) / (u / w)) = T(x,(z \ y) \ (w / u)). T(x,(y \ z) / (u / z)) != w | T(x,z / (u / (z / y))) = w. T(x,y / (z / (y / u))) = T(x,(y \ u) \ (y / z)). T(x,y * ((y / z) / u)) = T(x,(y \ z) \ (y / u)). T(x,(y \ z) \ (y / u)) = T(x,y * ((y / z) / u)). T(x,(y \ z) * (z / u)) = T(x,z * ((z / y) / u)). T(T(x,y * ((y / z) / z)),T(z \ y,y \ z) \ (T(z \ y,y \ z) \ u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(x,L(1 / y,z,u) \ w) != v5 | T(x,L(y,z,u) * w) = v5. T(T(x,L(y,z,u) \ w),L(y,z,u) * (y * (L(y,z,u) \ y))) = T(T(x,L(1 / y,z,u) \ w),1). T(T(x,L(y,z,u) \ w),y * (L(y,z,u) * (L(y,z,u) \ y))) = T(T(x,L(1 / y,z,u) \ w),1). T(T(x,L(y,z,u) \ w),y * y) = T(T(x,L(1 / y,z,u) \ w),1). T(T(x,L(1 / y,z,u) \ w),1) = T(T(x,L(y,z,u) \ w),y * y). x != T(T(y,z),u * u) | T(y,u * (u * z)) = x. T(x,y * (y * (L(y,z,u) \ w))) = T(T(x,L(1 / y,z,u) \ w),1). T(T(x,L(1 / y,z,u) \ w),1) = T(x,y * (y * (L(y,z,u) \ w))). T(T(x,L(y,z,u) * w),1) = T(x,y * (y * (L(y,z,u) \ w))). T(x,y * (y * (L(y,z,u) \ w))) = T(T(x,L(y,z,u) * w),1). x != T(y,1) | y = x. T(x,L(y,z,u) * w) = T(x,y * (y * (L(y,z,u) \ w))). T(x,y * (y * (L(y,z,u) \ w))) = T(x,L(y,z,u) * w). K(x * (x * (L(x,y,z) \ u)),w) = w / T(w,L(x,y,z) * u). K(L(x,y,z) * u,w) = K(x * (x * (L(x,y,z) \ u)),w). K(x * (x * (L(x,y,z) \ u)),w) = K(L(x,y,z) * u,w). K(x * (x * (L(x,y,z) \ u)),w) != v5 | K(L(x \ 1,y,z) \ u,w) = v5. K(L(x \ 1,y,z) \ u,w) = K(L(x,y,z) * u,w). T(T(x,y * (z \ (z \ y))),T(z \ y,y \ z) \ (T(z \ y,y \ z) \ u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,y * (z \ (z \ y))),(z \ y) \ ((z \ y) \ u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,y * (z \ (z \ y))),(y \ z) * ((y \ z) * u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(x,T(y,z * K(u,w)) \ (T(v5,K(u,w) * ((y * z) * (z * K(w,u)))) \ v6)) = T(x,v5 \ ((T(z,K(u,w)) \ T(y * z,K(u,w))) \ v6)). T(x,T(y,z * K(u,w)) \ (T(v5,(y * z) * z) \ v6)) = T(x,v5 \ ((T(z,K(u,w)) \ T(y * z,K(u,w))) \ v6)). T(x,T(y,z * K(u,w)) \ (T(v5,z * (z * y)) \ v6)) = T(x,v5 \ ((T(z,K(u,w)) \ T(y * z,K(u,w))) \ v6)). T(x,T(y,z) \ (T(u,z * (z * y)) \ w)) = T(x,u \ ((T(z,K(v5,v6)) \ T(y * z,K(v5,v6))) \ w)). T(x,T(y,z) \ (T(u,z * (z * y)) \ w)) != v5 | T(x,u \ (T(y,z) \ w)) = v5. T(x,y \ (T(z,u) \ w)) = T(x,y \ ((T(u,K(v5,v6)) \ T(z * u,K(v5,v6))) \ w)). T(x,y \ ((T(z,K(u,w)) \ T(v5 * z,K(u,w))) \ v6)) = T(x,y \ (T(v5,z) \ v6)). T(x,y \ (T(z,u * K(w,v5)) \ v6)) = T(x,y \ (T(z,u) \ v6)). T(x,(K(y,z) * (u \ 1)) \ (T(w,u * K(z,y)) \ v5)) != v6 | T(x,w \ ((K(z,y) \ (u \ 1)) \ v5)) = v6. T(x,y \ ((K(z,u) \ (w \ 1)) \ v5)) = T(x,(K(u,z) * (w \ 1)) \ (T(y,w) \ v5)). T(x,(K(y,z) * (u \ 1)) \ (T(w,u) \ v5)) = T(x,w \ ((K(z,y) \ (u \ 1)) \ v5)). T(x,K(y,z) * ((u \ 1) \ (T(w,u) \ v5))) = T(x,w \ ((K(y,z) \ (u \ 1)) \ v5)). T(x,y * (K(z,u) * (T(w,y) \ v5))) = T(x,w \ ((K(u,z) \ (y \ 1)) \ v5)). T(x,y \ ((K(z,u) \ (w \ 1)) \ v5)) = T(x,w * (K(u,z) * (T(y,w) \ v5))). T(x,y \ ((K(z,u) * (w \ 1)) \ v5)) = T(x,w * (K(z,u) * (T(y,w) \ v5))). T(x,y \ ((K(z,u) * (w \ 1)) \ v5)) != v6 | T(x,y \ ((w \ K(z,u)) \ v5)) = v6. T(x,y \ ((z \ K(u,w)) \ v5)) = T(x,z * (K(u,w) * (T(y,z) \ v5))). T(x,y * (K(z,u) * (T(w,y) \ v5))) = T(x,w \ ((y \ K(z,u)) \ v5)). T(x,T(y,z) * (T(u,y) \ w)) = T(x,u \ ((y \ K(z,y)) \ w)). T(x,y \ ((z \ K(u,z)) \ w)) = T(x,T(z,u) * (T(y,z) \ w)). T(x,y \ ((z \ K(u,z)) \ w)) != v5 | T(x,y \ L(T(z,u) * w,v6,v6)) = v5. T(x,y \ L(T(z,u) * w,v5,v5)) = T(x,T(z,u) * (T(y,z) \ w)). T(x,y \ (T(z,u) * w)) = T(x,T(z,u) * (T(y,z) \ w)). T(x,T(y,z) * (T(u,y) \ w)) = T(x,u \ (T(y,z) * w)). T(x,T(y,z * u) * (T(z / u,y) \ w)) != v5 | T(x,y * ((z / u) \ w)) = v5. T(x,y * ((z / u) \ w)) = T(x,(z / u) \ (T(y,z * u) * w)). T(x,(y / z) \ (T(u,y * z) * w)) = T(x,u * ((y / z) \ w)). T(x,(y / z) * (T(u,z * y) * w)) = T(x,u * ((z / y) \ w)). T(x,(y / z) * (T(u,z * y) * w)) != v5 | T(x,u / (w \ ((y / z) \ 1))) = v5. T(x,y / (z \ ((u / w) \ 1))) = T(x,y * ((w / u) \ z)). T(x,y * (((z / u) \ 1) \ w)) = T(x,y * ((u / z) \ w)). K(x,K(y,z)) * ((((T(x,y) / u) / (x / u)) \ (T(x,y) / u)) * K((u \ 1) \ (x / u),y)) = (((T(x,y) / u) / (x / u)) \ (T(x,y) / u)) * T(T((T(x,y) / u) / (x / u),T(x,y) / u),z). (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)). (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((x / z) * K((z \ 1) \ (x / z),y)). (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * (T(x,y) / z). (x / y) * T(T((T(x,z) / y) / (x / y),T(x,z) / y),u) = K(x,K(z,u)) * (T(x,z) / y). (x / y) * T(K((y \ 1) \ (x / y),z),u) = K(x,K(z,u)) * (T(x,z) / y). K(x,K(y,z)) * (T(x,y) / u) = (x / u) * T(K((u \ 1) \ (x / u),y),z). (x / y) * K((y \ 1) \ (x / y),T(z,u)) = K(x,K(z,u)) * (T(x,z) / y). K(x,K(y,z)) * (T(x,y) / u) = (x / u) * K((u \ 1) \ (x / u),T(y,z)). x != (y / z) * K((z \ 1) \ (y / z),u) | T(y,u) / z = x. T(x,T(y,z)) / u = K(x,K(y,z)) * (T(x,y) / u). K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. K(T(x,T(y,z)) / u,w) != v5 | K(T(x,y) / u,w) = v5. K(T(x,y) / (z \ y),T(u,y)) = K((T(y,z) / x) \ z,u). K((T(x,y) / z) \ y,u) = K(T(z,x) / (y \ x),T(u,x)). x != K(T(y,z) / (u \ z),T(w,z)) | K((y * u) / z,w) = x. K((x * y) / z,u) = K((T(z,y) / x) \ y,u). K((T(x,y) / z) \ y,u) = K((z * y) / x,u). K(((1 / x) / y) \ z,u) = K((y * z) / (K(z,x \ 1) / x),u). K((x * y) / (K(y,z \ 1) / z),u) = K(((1 / z) / x) \ y,u). x != K(((1 / y) / z) \ u,w) | K(((y \ 1) / z) \ u,w) = x. K(((x \ 1) / y) \ z,u) = K((y * z) / (K(z,x \ 1) / x),u). K((x * y) / (K(y,z \ 1) / z),u) = K(((z \ 1) / x) \ y,u). K((x * y) * (z * K(z \ 1,y)),u) = K(((z \ 1) / x) \ y,u). K((x * y) * (z * K(z * 1,y)),u) = K(((z \ 1) / x) \ y,u). K((x * y) * (z * K(z,y)),u) = K(((z \ 1) / x) \ y,u). K((x * y) * T(z,y),u) = K(((z \ 1) / x) \ y,u). K(((x \ 1) / y) \ z,u) = K((y * z) * T(x,z),u). K(((x \ 1) / (y \ (z \ ((1 / z) \ y)))) \ y,u) = K((z \ ((1 / z) \ y)) * T(x,y),u). K(((x \ (y \ ((1 / y) \ x))) \ (z \ 1)) \ x,u) = K((y \ ((1 / y) \ x)) * T(z,x),u). K(((x \ y) \ z) \ x,u) != w | K(T(z,x) \ y,T(u,x)) = w. K(T(x \ 1,y) \ (z \ ((1 / z) \ y)),T(u,y)) = K((z \ ((1 / z) \ y)) * T(x,y),u). K(x \ (y \ ((1 / z) \ u)),w) != v5 | K(x \ (y \ ((z \ 1) \ u)),w) = v5. K(T(x \ 1,y) \ (z \ ((z \ 1) \ y)),T(u,y)) = K((z \ ((1 / z) \ y)) * T(x,y),u). K(x \ (y \ ((y \ 1) \ z)),u) != w | K(L(x,y,y) \ z,u) = w. K(L(T(x \ 1,y),z,z) \ y,T(u,y)) = K((z \ ((1 / z) \ y)) * T(x,y),u). K(x / L(T(y \ 1,x),z,z),u) = K((z \ ((1 / z) \ x)) * T(y,x),u). K((x \ ((1 / x) \ y)) * T(z,y),u) = K(y / L(T(z \ 1,y),x,x),u). x != K(y / L(T(z,y),u,w),v5) | K(L(z,u,w) \ y,v5) = x. K(L(x \ 1,y,y) \ z,u) = K((y \ ((1 / y) \ z)) * T(x,z),u). K((x \ ((1 / x) \ y)) * T(z,y),u) = K(L(z \ 1,x,x) \ y,u). x != K(L(y \ 1,z,u) \ w,v5) | K(L(y,z,u) * w,v5) = x. K(L(x,y,y) * z,u) = K((y \ ((1 / y) \ z)) * T(x,z),u). K((x \ ((1 / x) \ y)) * T(z,y),u) = K(L(z,x,x) * y,u). K(x * (y \ ((1 / y) \ z)),u) = K(L(x,y,y) * z,u). K(x * (y \ ((y \ 1) \ z)),u) = K(L(x,y,y) * z,u). K((x \ ((x \ 1) \ y)) * z,u) = K(L(T(z,y),x,x) * y,u). K(L(T(x,y),z,z) * y,u) = K((z \ ((z \ 1) \ y)) * x,u). K(x * L(y,z,z),u) = K((z \ ((z \ 1) \ x)) * y,u). K((x \ ((x \ 1) \ y)) * z,u) = K(y * L(z,x,x),u). K((x \ T(y,x \ 1)) * z,u) = K((y * (x \ 1)) * L(z,x,x),u). K((x * (y \ 1)) * L(z,y,y),u) = K((y \ T(x,y \ 1)) * z,u). x != K((y \ T(z,u \ w)) * v5,v6) | K((y \ T(z,u * w)) * v5,v6) = x. K((x \ T(y,x * 1)) * z,u) = K((y * (x \ 1)) * L(z,x,x),u). K((x * (y \ 1)) * L(z,y,y),u) = K((y \ T(x,y * 1)) * z,u). K((x * (y \ 1)) * L(z,y,y),u) = K((y \ T(x,y)) * z,u). x != K((y \ T(z,y)) * u,w) | K((z / y) * u,w) = x. K((x / y) * z,u) = K((x * (y \ 1)) * L(z,y,y),u). K((x * (y \ 1)) * L(z,y,y),u) = K((x / y) * z,u). (x * y) / (K((z / u) * w,x) * y) = T(x,(z * (u \ 1)) * L(w,u,u)). T(x,(y * (z \ 1)) * L(u,z,z)) = (x * w) / (K((y / z) * u,x) * w). T(x,(y / z) * u) = T(x,(y * (z \ 1)) * L(u,z,z)). T(x,(y * (z \ 1)) * L(u,z,z)) = T(x,(y / z) * u). T(x,((y \ z) * (y \ 1)) * L(u,y,y)) != w | T(x,((y \ 1) * (z * (y \ 1))) * u) = w. T(x,((y \ 1) * (z * (y \ 1))) * u) = T(x,((y \ z) / y) * u). x != T(y,((z \ u) / z) * w) | T(y,(z \ (u / z)) * w) = x. T(x,(y \ (z / y)) * u) = T(x,((y \ 1) * (z * (y \ 1))) * u). T(x,((y \ 1) * (z * (y \ 1))) * u) = T(x,(y \ (z / y)) * u). T(x,y * ((z \ 1) * (u * (z \ 1)))) = T(x,(z \ (u / z)) * T(y,z \ (u * (z \ 1)))). T(x,(y \ (z / y)) * T(u,y \ (z * (y \ 1)))) = T(x,u * ((y \ 1) * (z * (y \ 1)))). T(x,(y \ (z / y)) * T(u,y \ (z / y))) = T(x,u * ((y \ 1) * (z * (y \ 1)))). T(x,y * (z \ (u / z))) = T(x,y * ((z \ 1) * (u * (z \ 1)))). T(x,y * ((z \ 1) * (u * (z \ 1)))) = T(x,y * (z \ (u / z))). T(x,y * (((z \ 1) \ 1) * R(u,z,z))) = T(x,y * ((z \ 1) \ ((u * (z \ 1)) / (z \ 1)))). T(x,y * ((z \ 1) \ ((u * (z \ 1)) / (z \ 1)))) = T(x,y * (((z \ 1) \ 1) * R(u,z,z))). T(x,y * ((z \ 1) \ ((u * (z \ 1)) / (z \ 1)))) = T(x,y * R(z * u,z,z)). x != T(y,z * R(u,w,w)) | T(y,z * L(u,w,w)) = x. T(x,y * L(z * u,z,z)) = T(x,y * ((z \ 1) \ ((u * (z \ 1)) / (z \ 1)))). T(x,y * ((z \ 1) \ ((u * (z \ 1)) / (z \ 1)))) = T(x,y * L(z * u,z,z)). T(x,y * ((z \ 1) \ u)) = T(x,y * L(z * u,z,z)). T(x,y * L(z * u,z,z)) = T(x,y * ((z \ 1) \ u)). T(x,y * L(z * u,z,z)) != w | T(x,y * (z * L(u,z,z))) = w. T(x,y * (z * L(u,z,z))) = T(x,y * ((z \ 1) \ u)). T(x,y * (z * L(u,z,z))) != w | T(x,y * (z * u)) = w. T(x,y * (z * u)) = T(x,y * ((z \ 1) \ u)). T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). T(x,y * (((z / u) \ 1) \ w)) != v5 | T(x,y * ((u / z) \ w)) = v5. T(x,y * ((z / u) \ w)) = T(x,y * ((u / z) * w)). T(x,y * (((z \ u) \ 1) \ w)) != v5 | T(x,y / (w \ (u \ z))) = v5. T(x,y / (z \ (u \ w))) = T(x,y * ((w \ u) * z)). T(x,y * ((z / (z \ u)) \ w)) != v5 | T(x,y * ((z * (u \ z)) \ w)) = v5. T(x,y * ((z * (u \ z)) \ w)) = T(x,y * (((z \ u) / z) * w)). T(x,y / (T(z,u * w) \ (w \ u))) != v5 | T(x,y / ((w \ u) / z)) = v5. T(x,y / ((z \ u) / w)) = T(x,y * ((u \ z) * T(w,u * z))). T(x,y * ((z \ u) * T(w,z * u))) = T(x,y / ((u \ z) / w)). x != T(y,z * (((u \ w) / u) * v5)) | T(y,z * ((u \ (w / u)) * v5)) = x. T(x,y * ((z \ (u / z)) * w)) = T(x,y * ((z * (u \ z)) \ w)). T(x,y * ((z * (u \ z)) \ w)) = T(x,y * ((z \ (u / z)) * w)). T(x,y * ((z \ u) * T(w,z * u))) != v5 | T(x,y * (w * (z \ u))) = v5. T(x,y * (z * (u \ w))) = T(x,y / ((w \ u) / z)). T(x,y / ((z \ u) / w)) = T(x,y * (w * (u \ z))). T(x,y * (z / (u \ w))) = T(x,y * (z * (w \ u))). T(x,(y \ z) * ((y \ z) * u)) = T(x,z * ((y \ (z / y)) * u)). T(T(x,y * (z \ (z \ y))),(y \ z) * ((y \ z) * u)) != w | T(T(x,(y / z) * (1 / (z \ y))),u) = w. T(T(x,(y / z) * (1 / (z \ y))),u) = T(T(x,y * (z \ (z \ y))),z * ((y \ (z / y)) * u)). T(T(x,y * (z \ (z \ y))),z * ((y \ (z / y)) * u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,y * (z \ (z \ u))),w) != v5 | T(T(x,y * u),z \ (z \ w)) = v5. T(T(x,y * y),z \ (z \ (z * ((y \ (z / y)) * u)))) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,y * y),z \ ((y \ (z / y)) * u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(x,y \ ((z \ (y / z)) * u)) != w | T(x,z \ (T(z,y) \ u)) = w. T(T(x,y * y),y \ (T(y,z) \ u)) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,(y / z) * (1 / (z \ y))),u) = T(T(x,y * y),y \ (T(y,z) \ u)). x != T(T(y,z * z),u) | T(y,z * (z * u)) = x. T(x,y * (y * (y \ (T(y,z) \ u)))) = T(T(x,(y / z) * (1 / (z \ y))),u). T(T(x,(y / z) * (1 / (z \ y))),u) = T(x,y * (y * (y \ (T(y,z) \ u)))). T(T(x,(y / z) * (1 / (z \ y))),u) = T(x,y * (T(y,z) \ u)). T(T(x,(y / z) * (1 / (z \ y))),u) = T(x,K(z,y) * u). T(T(x,(y / z) * (1 * (y \ z))),u) = T(x,K(z,y) * u). T(T(x,(y / z) * (y \ z)),u) = T(x,K(z,y) * u). T(T(x,T(y \ T(y,z),z)),u) = T(x,K(y,z) * u). T(T(x,T(K(y,z),z)),u) = T(x,K(y,z) * u). T(T(x,K(y,z)),u) = T(x,K(y,z) * u). T(x,K(y,z) * u) = T(T(x,K(z,y)),u). T(T(x,K(y,z)),u) = T(x,K(z,y) * u). x \ y != T(T(z,K(u,w)),v5) | x * T(z,K(w,u) * v5) = y. x * T(y,K(z,u) * x) = T(y,K(u,z)) * x. x != T(y,K(z,u)) * w | K(z,u) * (y * (K(u,z) * w)) = x. K(x,y) * (z * (K(y,x) * u)) = u * T(z,K(y,x) * u). x * (y * (K(z,u) * w)) != w * T(y,K(z,u) * w) | L(K(u,z),w,y) = x. L(K(x,y),z,u) = K(x,y). K(L(x,y,z),u) = K(x,u). K(x,L(y,z,u)) = K(x,y). K(x,(y * z) \ u) = K(x,z \ (y \ u)). K(x,L(y,z,u) \ 1) = K(x,y \ 1). x * L(K(y,z),u,w) != K(y,z) | 1 = x. 1 = a(x,y,K(z,u)). a(x,y,K(z,u)) = 1. L(K(x,y),z,u) != w | R(K(x,y),z,u) = w. R(K(x,y),z,u) = K(x,y). L(x,T(y,z),T(z,y)) != u | (z * y) \ (z * (y * x)) = u. (x * y) \ (x * (y * K(z,u))) = K(z,u). x \ y != L(K(z,u),w,v5) | x * K(z,u) = y. (x * y) * K(z,u) = x * (y * K(z,u)). x * K(y,z) = u * ((u \ x) * K(y,z)). x * ((x \ y) * K(z,u)) = y * K(z,u). x \ (y * K(z,u)) = (x \ y) * K(z,u). K(x,y) * (z * u) = (K(x,y) * z) * u. (K(x,y) * z) * u = K(x,y) * (z * u). K(a(x,y,z),u) = 1. x != 1 | a(y,z,K(u,w)) = x. a(x,y,K(z,u)) = a(w,v5,K(v6,v7)). a(x,y,K(z,u)) != w | a(x,K(y,u),z) = w. a(x,K(y,z),u) = 1. a(x,y,K(z,u)) != w | a(K(u,x),y,z) = w. a(K(x,y),z,u) = 1. K(x \ L(x,y,z),u) = 1. a(x,y,K(z,u)) != w | K(x,a(u,y,z)) = w. K(x,a(y,z,u)) = 1. R(x,y,a(z,u,K(w,v5))) = x. x \ y != 1 | x * K(a(z,u,w),v5) = y. x * K(a(y,z,u),w) = x. T(a(x,y,z),u) = a(x,y,z). L(x,K(y,z),u) = x. a(K(x,y),z * y,u) != w | K(x,y \ R(y,z,u)) = w. K(x,y \ R(y,z,u)) = 1. L(x,y,K(z,u)) = x. T(x,a(y,z,u)) = x. K(x,a(y,z,u)) * w = w. x * K(y,a(z,u,w)) != v5 | v5 = x. 1 * ((a(x,y,z) * u) * w) = (u * a(x,y,z)) * w. x * (K(y,z) * u) = (x * K(y,z)) * u. (x * K(y,z)) * u = x * (K(y,z) * u). L((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. x / (K(y,z) * u) = (x / u) * K(z,y). (x * K(y,z)) \ u = K(z,y) * (x \ u). x \ y != L(z,K(u,w),v5) | x * z = y. (x * (y / x)) * z = y * (K(x,x \ y) * z). x * (K(y,y \ x) * z) = (y * (x / y)) * z. L(x,K(y,z),u) != w | x = w. (x * K(y,z)) * u != w | x * (K(y,z) * u) = w. L(x,y,z) = L(x,y,T(z,u)). L(x,y,T(z,u)) = L(x,y,z). L(x,y,K(z,u)) != w | T(x,a(u,y,z) \ 1) = w. T(x,a(y,z,u) \ 1) = x. L(x,y,K(z,u)) != w | R(x,y,K(z,u)) = w. R(x,y,K(z,u)) = x. L(T(x,y),y,K(z,u)) != w | T(x,L(y,u,z)) = w. T(x,L(y,z,u)) = T(x,y). L(a(x,y,z) \ u,y,K(z,x)) != w | u / a(x,y,z) = w. x / a(y,z,u) = a(y,z,u) \ x. (K(x,y) * z) \ u = z \ (K(y,x) * u). (K(x,y) * z) \ (K(x,y) * u) = z \ u. L(x,y,K(z,u)) != w | x = w. (K(x,y) * (z * u)) / u = K(x,y) * z. (K(x,y) * z) / u = K(x,y) * (z / u). (K(x,y) * z) * u != w | K(x,y) * (z * u) = w. L(x,y,T(z,u)) != w | L(x,y,z) = w. x \ (K(y,z) * (u * x)) = T(K(y,z) * u,x). x * a(y,z,u) = a(y,z,u) * x. a(x,y,z) * u = u * a(x,y,z). (a(x,y,z) \ u) * a(x,y,z) = u. a(x,y,z) \ (u * a(x,y,z)) = u. x \ (x * y) = T(y,a(z,u,w)). T(x,a(y,z,u)) = w \ (w * x). T(x,a(y,z,u)) != w | T(x,L(u,z,y) \ u) = w. T(x,L(y,z,u) \ y) = x. T((x * y) \ (z * y),x) != u | R(T(x \ z,x * y),x,y) = u. R(T(a(x,y,z) \ u,a(x,y,z) * w),a(x,y,z),w) = (a(x,y,z) * w) \ (u * w). L(T(x,a(y,z,u)),w,v5) = L(x,w,v5). x \ y != T(z,a(u,w,v5)) | x * z = y. L(a(x,y,z),u,w) * (w * u) = w * (u * a(x,y,z)). x \ y != T(z \ y,z) | (z \ y) \ y = x. (a(x,y,z) \ u) \ u = a(x,y,z). x != T(y,a(z,u,w)) | x = y. T(x,a(y,z,u)) != w | w = x. (x * a(y,z,u)) / x = a(y,z,u). x \ (a(y,z,u) * x) = a(y,z,u). x != a(y,z,u) \ w | x * a(y,z,u) = w. a(x,y,z) \ u != w | w * a(x,y,z) = u. a(x,y,z) * u != w | u * a(x,y,z) = w. x \ (a(y,z,u) * x) != w | a(y,z,u) = w. x / a(y,z,u) != w | a(y,z,u) \ x = w. x * (a(y,z,u) * w) = x * (w * a(y,z,u)). x * (a(y,z,u) * w) != v5 | x * (w * a(y,z,u)) = v5. R(x,y,T(z,u)) = R(x,y,z). R(x / y,y,z) != u | (x * z) / (y * z) = u. (x * K(y,z)) / (u * K(y,z)) = x / u. K(x,y) * L(x,z,u) = L(T(x,y),z,u). K(x,y) * R(x,z,u) = R(T(x,y),z,u). K(x,y) * ((x * z) * u) = (T(x,y) * z) * u. K(x,y / (z / u)) = K(x,(y * u) / z). K(x,(y * z) / u) = K(x,y / (u / z)). x != K(y,z) | K(y,L(z,u,w)) = x. K(x,L(y,z,u)) = K(x,L(y,w,v5)). x != K(y,L(z,u,w)) | K(y,z) = x. K(x,y) = K(x,L(L(y,z,u),w,v5)). K(x,L(L(y,z,u),w,v5)) = K(x,y). K(x,L(y,z,u)) != w | K(x,R(y,z,u)) = w. K(x,R(y,z,u)) = K(x,y). K(x,L((y / z) / u,y,z)) != w | K(x,y / (u * z)) = w. K(x,y / (z * u)) = K(x,(y / u) / z). K(x,(y / z) / u) = K(x,y / (u * z)). K(x,y) * (L(y,z,u) * x) = x * L(y,z,u). K(x,(y * z) / u) != w | K(x,y / (u / z)) = w. K(x,y) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (x * (K(y,x) * z)) * u = K(y,x) * ((x * z) * u). x \ y != 1 | x * K(z \ L(z,u,w),v5) = y. x * K(y \ L(y,z,u),w) = x. T(x \ L(x,y,z),u) = x \ L(x,y,z). x * a(y,z,u) != w | a(y,z,u) * x = w. x \ y != z * a(u,w,v5) | x * (a(u,w,v5) * z) = y. x * (y * a(z,u,w)) != v5 | x * (a(z,u,w) * y) = v5. T(x,y \ R(y,z,u)) = x. T(x,a(y,z,u) \ 1) != w | T(x,u \ L(u,z,y)) = w. T(x,y \ L(y,z,u)) = x. T(L(x,y,y),y \ 1) != z | y * (x * (y \ 1)) = z. a(x,y,z) * (u * (a(x,y,z) \ 1)) = L(u,a(x,y,z),a(x,y,z)). T(a(x,y,z) \ 1,u) = a(x,y,z) \ 1. x / (a(y,z,u) * x) = (a(y,z,u) * x) \ x. L((x * a(y,z,u)) \ x,x * a(y,z,u),w) = (w * x) / (w * (x * a(y,z,u))). L(x,y,z) \ u = T(u / L(x,y,z),x). T(x / L(y,z,u),y) = L(y,z,u) \ x. x \ y != T(z,u) | x * T(z,L(u,w,v5)) = y. x * T(y,L(x,z,u)) = y * x. T(x,L(y \ 1,z,u)) != w | T(x,L(y,z,u) \ 1) = w. T(x,L(y,z,u) \ 1) = T(x,y \ 1). x \ y != T(z,L(u,w,v5)) | x * T(z,u) = y. L(x,y,z) * T(u,x) = u * L(x,y,z). T(x / L(y,z,u),y) != w | L(y,z,u) \ x = w. T(x,(y * z) \ u) = T(x,z \ (y \ u)). R(x,y,z) * T(u,x) = u * R(x,y,z). (L(x,y,z) \ x) \ u = u / (L(x,y,z) \ x). x / (L(y,z,u) \ y) = (L(y,z,u) \ y) \ x. x * (L(y,z,u) \ y) = (L(y,z,u) \ y) * x. (L(x,y,z) \ x) * u = u * (L(x,y,z) \ x). T(L(x,y,z) \ x,u) = L(x,y,z) \ x. T(x,L(y,z,u) \ y) != w | x = w. x != (L(y,z,u) \ y) \ w | w / (L(y,z,u) \ y) = x. (L(x,y,z) \ x) \ u != w | u / (L(x,y,z) \ x) = w. (L(x,y,z) \ x) * u != w | u * (L(x,y,z) \ x) = w. x \ ((L(y,z,u) \ y) * w) = x \ (w * (L(y,z,u) \ y)). ((x \ L(x,y,z)) \ u) / u = u \ ((x \ L(x,y,z)) \ u). T(x,y \ L(z,u,w)) = T(x,(L(z,u,w) \ z) \ (y \ z)). T(x,(L(y,z,u) \ y) \ (w \ y)) = T(x,w \ L(y,z,u)). K(x,y) * (R(y,z,u) * x) = x * R(y,z,u). T(x \ R(x,y,z),u) = x \ R(x,y,z). (x * (y \ R(y,z,u))) / x = y \ R(y,z,u). ((x \ R(x,y,z)) * u) * w = (u * (x \ R(x,y,z))) * w. L(x \ R(x,y,z),u,w) = (w * (u * (x \ R(x,y,z)))) / (w * u). (x * (y * (z \ R(z,u,w)))) / (x * y) = L(z \ R(z,u,w),y,x). (x \ L(x,y,z)) \ u = u / (x \ L(x,y,z)). x / (y \ L(y,z,u)) = (y \ L(y,z,u)) \ x. x * (y \ L(y,z,u)) = (y \ L(y,z,u)) * x. (x \ L(x,y,z)) * u = u * (x \ L(x,y,z)). T(x,y \ L(y,z,u)) != w | x = w. T(x,L(y,z,u) * (y \ 1)) = x. x * (y * a(z,u,K(w,v5))) != v6 * a(z,u,K(w,v5)) | x * y = v6. x * a(y,z,K(u,w)) != v5 * (v6 * a(y,z,K(u,w))) | v5 * v6 = x. a(x,y,z) \ (u * a(x,y,z)) != w | u = w. a(x,y,z) != u \ w | a(x,y,z) \ w = u. x * a(y,z,u) != w | a(y,z,u) \ w = x. (x * a(y,z,u)) * w != v5 | (a(y,z,u) * x) * w = v5. x / L(a(y,z,u),w,v5) = L(a(y,z,u),w,v5) \ x. T(x * a(y,z,u),K(w,v5)) = a(y,z,u) * T(x,K(w,v5)). (x * K(y,z)) \ u != w | K(z,y) * (x \ u) = w. T(L(x,y,z),u) = L(T(x,u),y,T(z,w)). L(T(x,y),z,T(u,w)) = T(L(x,z,u),y). L(x,y,z \ u) = L(x,y,u / z). L(x,y,z / u) = L(x,y,u \ z). L(x,y,z * u) = L(x,y,u * z). L(x \ K(y,z),x,T(z,y)) != u | (T(z,y) * x) \ z = u. (T(x,y) * z) \ x = L(z \ K(y,x),z,x). L(x \ K(y,z),x,z) = (T(z,y) * x) \ z. T(x,L(y,z,u)) != w | T(x,y) = w. L(T(x,a(y,z,u)),w,v5) != v6 | v6 = L(x,w,v5). L(T(x,a(y,z,u)),w,v5) != v6 | L(x,w,v5) = v6. x * T(y,a(z,u,w)) != v5 | v5 = x * y. x * T(y,a(z,u,w)) != v5 | x * y = v5. x != y | T(x,a(z,u,w) \ 1) = y. T(x * K(y \ L(y,z,u),w),a(v5,v6,v7) \ 1) = x. x * (L(x,y,z) \ u) = (u / L(x,y,z)) * x. (x / L(y,z,u)) * y = y * (L(y,z,u) \ x). L(x,y,z) \ (u * x) = x * (T(L(x,y,z),u) \ u). x * (T(L(x,y,z),u) \ u) = L(x,y,z) \ (u * x). x \ (y * a(z,u,w)) != v5 | v5 = x \ (a(z,u,w) * y). x \ (y * a(z,u,w)) != v5 | x \ (a(z,u,w) * y) = v5. x / y != y \ L(y * z,u,w) | L(z * y,u,w) = x. L(x * a(y,z,u),w,v5) = L(a(y,z,u) * x,w,v5). L(a(x,y,z) * u,w,v5) = L(u * a(x,y,z),w,v5). (a(x,y,z) \ u) * a(x,y,z) != w | u = w. (a(x,y,z) \ u) \ u != w | a(x,y,z) = w. L(a(x,y,z) \ 1,u,w) \ 1 = a(x,y,z) * (L(a(x,y,z),u,w) \ a(x,y,z)). a(x,y,z) * (L(a(x,y,z),u,w) \ a(x,y,z)) = L(a(x,y,z) \ 1,u,w) \ 1. x != ((y * z) * u) * a(u,y,z) | (y * z) * R(u,y,z) = x. (x * y) * R(z,x,y) = a(z,x,y) * ((x * y) * z). a(x,y,z) * ((y * z) * x) = (y * z) * R(x,y,z). a(a(x,y,z),u,w) * R(v5,v6,v7) != v8 | R(a(a(x,y,z),u,w) * v5,v6,v7) = v8. R(a(a(x,y,z),u,w) * v5,v6,v7) = R(v5,v6,v7) * a(a(x,y,z),u,w). x * y != a(z,u,w) * v5 | x \ (v5 * a(z,u,w)) = y. (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = L(w,u,a(x,y,z)). x \ y != (a(z,u,w) \ v5) * a(z,u,w) | x * v5 = y. (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(T(w,a(x,y,z)),a(x,y,z),u). (x * a(y,z,u)) \ L(x,a(y,z,u),a(y,z,u)) = T(1 / a(y,z,u),a(y,z,u) * x). (a(x,y,z) * u) / (a(x,y,z) * a(x,y,z)) = u * (a(x,y,z) \ 1). (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) != v5 | L(w,u,a(x,y,z)) = v5. (a(x,y,z) * (u * w)) / (T(u,w) * a(x,y,z)) = R(w,T(u,w),a(x,y,z)). (a(x,y,z) * ((u * u) \ w)) \ v5 = (w * a(x,y,z)) \ ((u * u) * v5). (x * a(a(y,z,u),w,v5)) * v6 = a(a(y,z,u),w,v5) * (x * v6). L(L((a(x,y,z) \ 1) \ u,w,v5),a(x,y,z),a(x,y,z)) = L(u * a(x,y,z),w,v5). (a(x,y,z) * u) * (u \ L(u,w,v5)) != v6 | u * (a(x,y,z) * (u \ L(u,w,v5))) = v6. L(x,a(y,z,u),w) = (w * (x * a(y,z,u))) / T(w * a(y,z,u),x). (x * (y * a(z,u,w))) / T(x * a(z,u,w),y) = L(y,a(z,u,w),x). ((x * y) * a(z,u,w)) / (x * (a(z,u,w) * y)) != v5 | a(x,y,a(z,u,w)) = v5. (x * y) / (a(z,u,w) * T(x,y)) = (y * x) / (x * a(z,u,w)). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) = w \ ((a(x,y,z) \ w) * u). L(a(x,y,z) * u,w,v5) != v6 | L(u * a(x,y,z),w,v5) = v6. a(x,y,z) * (a(u,w,v5) * v6) = (v6 * a(u,w,v5)) * a(x,y,z). (a(x,y,z) * u) \ w != v5 | (u * a(x,y,z)) \ w = v5. T(a(x,y,z),u) != w | w = a(x,y,z). T(a(x,y,z),u) != w | a(x,y,z) = w. (x * a(y,z,u)) \ w != v5 | (a(y,z,u) * x) \ w = v5. x != K(y,L(z \ u,z,w)) | K(y,(w * z) \ (w * u)) = x. K(x,(y * z) \ (y * u)) = K(x,L(z \ u,w,v5)). K(x,L(y \ z,u,w)) = K(x,(v5 * y) \ (v5 * z)). K(x,L(y,z,u)) != w | K(x,y) = w. K(x,y) * (L(y,z,u) * (L(L(y,z,u),w,v5) \ v6)) = T(L(L(y,w,v5),z,u),x) \ (L(y,z,u) * v6). R(x,L(y,z,u) \ y,L(y,z,u) \ y) != w | ((L(y,z,u) \ y) * x) * ((L(y,z,u) \ y) \ 1) = w. T(x,L(y \ L(y,z,u),w,v5)) != v6 | x = v6. ((x / y) * z) \ x = L(z \ y,z,y \ x). L(x \ y,x,y \ z) = ((z / y) * x) \ z. ((x / y) * z) * L(L(u,z,y \ x),w,v5) = (x / y) * (z * L(u,w,v5)). a(x,y,z) = L(x \ R(x,y,z),x,z * y). L(x,y,(z * z) * u) != w | L(x,y,u) = w. T(x,(y * z) \ u) != w | T(x,z \ (y \ u)) = w. T(x,y \ (z * u)) != w | T(x,(z \ y) \ u) = w. T(x,(y * (z * u)) \ ((y * z) * w)) != v5 | T(x,L(u,z,y) \ w) = v5. T(x,L(y,z,u) \ 1) != w | T(x,y \ 1) = w. T(x,(y \ z) \ u) != w | T(x,z \ (y * u)) = w. K(x,(y * z) \ u) != w | K(x,z \ (y \ u)) = w. K((x * y) \ z,T(u,y)) != w | K((x \ z) / y,u) = w. L(x,y,L(T(z,u),w,v5)) != v6 | L(x,y,L(z,w,v5)) = v6. L(x,y,z / u) != w | L(x,y,u \ z) = w. L(x,y,z * u) != w | L(x,y,u * z) = w. L(x,y,(z \ u) * z) != w | L(x,y,u) = w. L(x,y,T(T(z,u),w)) != v5 | L(x,y,z) = v5. T(x,1 / L(y,z,u)) = T(x,y \ 1). x \ y != T(z,L(u,w,v5) \ 1) | x * T(z,u \ 1) = y. (L(x,y,z) \ 1) * T(u,x \ 1) = u * (L(x,y,z) \ 1). T((x * y) * z,K(y,x)) = (y * x) * (z * K(x,y)). x * y != (z * u) * K(w,v5) | x \ (z * (u * K(w,v5))) = y. x \ (y * (z * K(u,w))) = (x \ (y * z)) * K(u,w). x * y != (z * u) * K(u,w) | x \ (z * T(u,w)) = y. x \ (y * T(z,u)) = (x \ (y * z)) * K(z,u). (x \ (y * z)) * K(z,u) = x \ (y * T(z,u)). x \ (y * K(z,u)) != w * K(z,u) | x \ y = w. x * (y \ T(y * (x \ z),u)) = z * K(y * (x \ z),u). x * K(y * (z \ x),u) = z * (y \ T(y * (z \ x),u)). x \ y != K(z,u) * (w * v5) | x * ((K(z,u) * w) * v5) = y. K(x,y) * ((K(y,x) * z) * u) = z * u. L(x,y,K(z,u) * w) = (K(z,u) * (w * y)) \ ((K(z,u) * w) * (y * x)). (K(x,y) * (z * u)) \ ((K(x,y) * z) * (u * w)) = L(w,u,K(x,y) * z). ((x * (K(y,z) * u)) * w) / (K(y,z) * (u * w)) != v5 | R(x,K(y,z) * u,w) = v5. (x \ y) * z = K(x,u) * ((T(x,u) \ y) * z). K(x,y) * ((T(x,y) \ z) * u) = (x \ z) * u. (T(x,y) \ z) * u = K(y,x) * ((x \ z) * u). K(x,y) * ((y \ z) * u) = (T(y,x) \ z) * u. ((x / y) * z) * u = K(y,y \ x) * (((y \ x) * z) * u). K(x,x \ y) * (((x \ y) * z) * u) = ((y / x) * z) * u. ((x * y) * z) * u = K(x,y) * (((y * x) * z) * u). K(x,y) * (((y * x) * z) * u) = ((x * y) * z) * u. (x \ (K(y,z) * u)) * w = K(y,T(z,x)) * ((x \ u) * w). K(x,T(y,z)) * ((z \ u) * w) = (z \ (K(x,y) * u)) * w. ((K(x,y) * z) * u) * w = K(x,y) * ((z * u) * w). R(x * K(y,z),u,w) = ((x * (K(y,z) * u)) * w) / (u * w). ((x * (K(y,z) * u)) * w) / (u * w) = R(x * K(y,z),u,w). ((x * y) * (K(z,u) * w)) / ((y * K(z,u)) * w) = R(R(x,y,K(z,u)),y * K(z,u),w). (x * y) * z = (x * T(y,u)) * (K(u,y) * z). (x * T(y,z)) * (K(z,y) * u) = (x * y) * u. (x * T(y,z)) * u = (x * y) * (K(y,z) * u). (x * y) * (K(y,z) * u) = (x * T(y,z)) * u. (x \ K(y,z)) * u = (x \ 1) * (K(y,z) * u). (x \ 1) * (K(y,z) * u) = (x \ K(y,z)) * u. (x \ T(y,z)) * u = (x \ y) * (K(y,z) * u). (x \ y) * (K(y,z) * u) = (x \ T(y,z)) * u. (x * (y * K(z,u))) * w = (x * y) * (K(z,u) * w). x / (y * K(z,z \ 1)) = (x / y) * K(z \ 1,z). L(T(x \ y,z) \ u,T(x \ y,z),x) = K(z,x \ y) * (y \ (x * u)). (x * T(y,z)) \ u = K(z,y) * ((x * y) \ u). K(x,y) * ((z * y) \ u) = (z * T(y,x)) \ u. (x * (y * K(z,u))) \ w = K(u,z) * ((x * y) \ w). T(x * y,K(y,z)) \ u = (x * T(y,z)) \ (K(y,z) * u). (x * T(y,z)) \ (K(y,z) * u) = T(x * y,K(y,z)) \ u. (x \ y) \ z = (T(x,u) \ y) \ (K(u,x) * z). (T(x,y) \ z) \ (K(y,x) * u) = (x \ z) \ u. (T(x,y) * z) \ u = (x * z) \ (K(y,x) * u). (x * y) \ (K(z,x) * u) = (T(x,z) * y) \ u. T(x * (y * z),K(y,z)) \ u = (x * (z * y)) \ (K(z,y) * u). (K(x,y) * ((z * u) * w)) / (u * w) = K(x,y) * R(z,u,w). T(K(x,y) * (z / u),u) = u \ (K(x,y) * z). (x * y) / (z * K(u,y)) = (x * T(y,u)) / z. K(x,y) * L(x,z,u) != w | (x \ L(x,z,u)) * T(x,y) = w. (x \ L(x,y,z)) * T(x,u) = L(T(x,u),y,z). x \ y != K(z,u) * L(z,w,v5) | x * L(T(z,u),w,v5) = y. (x * y) * L(T(y,x),z,u) = (y * x) * L(y,z,u). x * y != K(z,u) * L(z,w,v5) | x \ L(T(z,u),w,v5) = y. T(x,y) \ L(T(x,y),z,u) = x \ L(x,z,u). L(T(x,y),z,u) * w = L(x,z,u) * (K(x,y) * w). L(x,y,z) * (K(x,u) * w) = L(T(x,u),y,z) * w. L(T(x,y),z,u) \ T(x,y) = L(x,z,u) \ x. x * y != K(z,u) * R(z,w,v5) | x \ R(T(z,u),w,v5) = y. (x / y) \ R(T(y,y \ x),z,u) = (y \ x) \ R(y,z,u). K(x,((y * z) * T(u,z)) / w) = K(x,R(y,z,T(u,z)) / (w / (u * z))). K(x,R(y,z,T(u,z)) / (w / (u * z))) = K(x,((y * z) * T(u,z)) / w). x != K(y,(z * u) / w) | K(y,z / (w / u)) = x. K(x,y / ((z * u) / w)) = K(x,((y * w) / u) / z). K(x,((y * z) / u) / w) = K(x,y / ((w * u) / z)). x != y \ L(y,z,u) | T(y \ L(y,z,u),w) = x. T(x \ L(x,y,z),u) = T(x \ L(x,y,z),w). x / L(y \ L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) \ x. x / L(a(y,z,u) \ 1,w,v5) = L(a(y,z,u) \ 1,w,v5) \ x. T((x / y) * z,z \ y) = L(z \ y,z,x / y) \ x. L(x \ y,x,z / y) \ z = T((z / y) * x,x \ y). x \ y != L(z,u,w) * T(v5,z) | x * (v5 * L(z,u,w)) = y. x * (y * L(x,z,u)) = L(x,z,u) * (y * x). L(x,y,z) * (u * x) = x * (u * L(x,y,z)). L(x,y,z) * (L(x,u,w) \ v5) = (v5 / L(x,u,w)) * L(x,y,z). T(x,y \ z) = T(x,u \ ((y / u) \ z)). T(x,y \ ((z / y) \ u)) = T(x,z \ u). x / T(y * z,z \ (y \ x)) = (y * z) \ x. T(x,((y * z) * u) \ w) = T(x,a(y,z,u) \ ((y * (z * u)) \ w)). T(x,a(y,z,u) \ ((y * (z * u)) \ w)) = T(x,((y * z) * u) \ w). R(x,y,z) * L(x \ u,w,v5) = L(u / x,w,v5) * R(x,y,z). x * (L(y,z,u) \ y) != w | (L(y,z,u) \ y) * x = w. K(x,y) * (z * (K(y,x) * u)) != w | u * T(z,K(y,x) * u) = w. x * T(K(y,z) * u,K(y,z) * x) = u * (K(y,z) * x). K(x,y) * (L(T(y,x),z,u) * w) = L(y,z,u) * w. L(x * a(y,z,u),w,v5) != v6 | L(a(y,z,u) * x,w,v5) = v6. (x \ (((x / y) * z) * L(L(z \ y,z,y \ x),u,w))) \ 1 = L(x \ ((x / y) * z),u,w) \ (x \ ((x / y) * z)). L(x \ ((x / y) * z),u,w) \ (x \ ((x / y) * z)) = (x \ (((x / y) * z) * L(L(z \ y,z,y \ x),u,w))) \ 1. L(x,y,z * (u / (w * w))) != v5 | L(x,y,z * u) = v5. L(x,y,z * (u \ 1)) != w | L(x,y,z * u) = w. L(L(L(x \ R(x,y,z),u,w),v5,v6),x,z * y) = L(L(a(x,y,z),u,w),v5,v6). L(x,y,L(z \ 1,u,w) \ v5) != v6 | L(x,y,L(z,u,w) \ v5) = v6. L(x,y,z * (u \ 1)) != w | L(x,y,u * z) = w. L(x,y,(z \ 1) * u) != w | L(x,y,u * z) = w. a(x,y,z) != u | L(x \ R(x,y,z),x,z * y) = u. L(x,y,L(z,u,w) * (w * u)) != v5 | L(x,y,w * (u * z)) = v5. L(x,y,L(z,u,z)) != w | L(x,y,z) = w. L(x,L(y,z,y),L(u,w,u)) != v5 | L(x,y,u) = v5. L(x,y,z) != u | L(T(x,a(w,v5,v6)),y,z) = u. x \ y != T(z,u \ L(u,w,v5)) | x * z = y. (x \ L(x,y,z)) * (K(u,w) * v5) = K(u,w) * (v5 * (x \ L(x,y,z))). K(x,y) * (z * (u \ L(u,w,v5))) = (u \ L(u,w,v5)) * (K(x,y) * z). x * y != K(z,u) * ((z * w) * v5) | x \ ((T(z,u) * w) * v5) = y. (x * y) \ ((T(x,y) * z) * u) = (y * x) \ ((x * z) * u). x * y != K(z,u) * (L(u,w,v5) * z) | x \ (z * L(u,w,v5)) = y. (x * y) \ (x * L(y,z,u)) = (y * x) \ (L(y,z,u) * x). (x * y) \ (L(x,z,u) * y) = (y * x) \ (y * L(x,z,u)). x / (a(y,z,u) * x) != w | R(a(y,z,u) \ 1,a(y,z,u),x) = w. R(a(x,y,z) \ 1,a(x,y,z),u) = (a(x,y,z) * u) \ u. (L(x,y,z) \ x) * (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) != v5 | L(L(x,y,z) \ x,u,w) = v5. L(L(x,y,z) \ x,u,w) = (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) * (L(x,y,z) \ x). (x * (L(x,y,z) \ L(x \ L(x,y,z),u,w))) * (L(x,y,z) \ x) = L(L(x,y,z) \ x,u,w). L(K(x,x \ 1) * R(y,z,u),x,x) = x * (K(1 / x,y) * (R(y,z,u) * (1 / x))). (x * (L(y,z,u) \ y)) / (y \ L(y,z,u)) != w | x * ((L(y,z,u) \ y) / (y \ L(y,z,u))) = w. x * ((L(y,z,u) \ y) / (y \ L(y,z,u))) = (y \ L(y,z,u)) \ (x * (L(y,z,u) \ y)). (x \ L(x,y,z)) \ (u * (L(x,y,z) \ x)) = u * ((L(x,y,z) \ x) / (x \ L(x,y,z))). ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ u) = ((x \ L(x,y,z)) * (x \ L(x,y,z))) \ u. R(T((x \ L(x,y,z)) \ u,w),x \ L(x,y,z),L(x,y,z) \ x) = T((u * (L(x,y,z) \ x)) / 1,w). (x \ y) \ (y * L(y \ (x \ y),z,u)) = x \ L(x,z,u). (x * x) \ y = (((x \ 1) \ L(x,z,u)) \ y) * (x \ L(x,z,u)). (((x \ 1) \ L(x,y,z)) \ u) * (x \ L(x,y,z)) = (x * x) \ u. x != (y * z) * (y \ L(y,u,w)) | y * (z * (y \ L(y,u,w))) = x. x * (y * (x \ L(x,z,u))) = (x \ L(x,z,u)) * (x * y). (x \ L(x,y,z)) * (x * u) = x * (u * (x \ L(x,y,z))). x * y != z * (u \ L(u,w,v5)) | x \ ((u \ L(u,w,v5)) * z) = y. (x * (y * (z \ L(z,u,w)))) \ ((z \ L(z,u,w)) * (x * y)) = a(x,y,z \ L(z,u,w)). (x \ L(x,y,z)) * u != w | x * (u * L(u \ (x \ u),y,z)) = w. x * (y * L(y \ (x \ y),z,u)) = y * (x \ L(x,z,u)). (x \ L(x,y,z)) * T((x \ L(x,y,z)) \ u,w) != v5 | L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = v5. L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = T((x \ L(x,y,z)) \ u,w) * (x \ L(x,y,z)). T((x \ L(x,y,z)) \ u,w) * (x \ L(x,y,z)) = L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)). (x * (y * (x \ L(x,z,u)))) \ (L(x,z,u) * y) = a(x,x \ L(x,z,u),y). (x * y) \ ((x * (z \ L(z,u,w))) * y) != v5 | R(T(z \ L(z,u,w),x * y),x,y) = v5. x * y != z * (u \ (u * (z \ w))) | w / y = x. x / y = (L(y,z,u) * (y \ x)) / L(y,z,u). (L(x,y,z) * (x \ u)) / L(x,y,z) = u / x. (x / L(y,z,u)) * y != w | (x * y) / L(y,z,u) = w. (x * y) / L(y,z,u) = y * (L(y,z,u) \ x). x * y != (z / L(u,w,v5)) * u | x \ (u * (L(u,w,v5) \ z)) = y. (x * x) \ (y * (L(y,z,u) \ w)) = ((x * x) \ (w / L(y,z,u))) * y. (((x * x) \ y) / L(z,u,w)) * z = z * (L((x * x) * z,u,w) \ y). (x \ (y * T(z,u))) * w = (x \ (y * z)) * (K(z,u) * w). (x \ (y * z)) * (K(z,u) * w) = (x \ (y * T(z,u))) * w. x != (y * z) * u | (y * (z * u)) * a(y,z,u) = x. (x * (y * z)) * a(x,y,z) = (x * T(y,u)) * (K(u,y) * z). (x * T(y,z)) * (K(z,y) * u) = (x * (y * u)) * a(x,y,u). (x \ K(y,z)) * T(u,K(y,z)) != w | (x \ 1) * (u * K(y,z)) = w. x != (y \ 1) \ (L(y,z,u) \ w) | y \ (L(1 / y,z,u) \ w) = x. x \ (L(1 / x,y,z) \ u) = (T(x,w) \ 1) \ (K(w,x) * (L(x,y,z) \ u)). (T(x,y) \ 1) \ (K(y,x) * (L(x,z,u) \ w)) = x \ (L(1 / x,z,u) \ w). x \ y != (z \ L(z,u,w)) * T(z,v5) | x * L(T(z,v5),u,w) = y. R(x,y \ L(y,z,u),T(y,w)) * L(T(y,w),z,u) = (x * (y \ L(y,z,u))) * T(y,w). a(x,y \ L(y,z,u),T(y,w)) = (x * L(T(y,w),z,u)) \ ((x * (y \ L(y,z,u))) * T(y,w)). (x * L(T(y,z),u,w)) \ ((x * (y \ L(y,u,w))) * T(y,z)) = a(x,y \ L(y,u,w),T(y,z)). L(T(x,y),z,u) * L(w,T(x,y),x \ L(x,z,u)) = (x \ L(x,z,u)) * (T(x,y) * w). (x \ L(x,y,z)) * (T(x,u) * T(w,L(T(x,u),y,z))) = L(w,T(x,u),x \ L(x,y,z)) * ((x \ L(x,y,z)) * T(x,u)). L(x,T(y,z),y \ L(y,u,w)) * ((y \ L(y,u,w)) * T(y,z)) = (y \ L(y,u,w)) * (T(y,z) * T(x,L(T(y,z),u,w))). (x \ (y * L(y \ x,z,u))) * T(x \ y,w) = L(T(x \ y,w),z,u). x \ y != T(z,u) \ L(T(z,u),w,v5) | x * (z \ L(z,w,v5)) = y. T(T(x,y),z) * (x \ L(x,u,w)) = L(T(T(x,y),z),u,w). L(x,L(y \ L(y,z,u),w,v5),v6) = L(x,L(T(y,v7) * L(T(y,v7),z,u),w,v5),v6). L(x,L(T(y,z) * L(T(y,z),u,w),v5,v6),v7) = L(x,L(y \ L(y,u,w),v5,v6),v7). T(T(x,y),y) * (x \ L(x,z,u)) = T(x,y) * (x \ L(T(x,y),z,u)). L(x \ y,z,u) \ T(y / x,x) = L(y / x,z,u) \ (y / x). L(x \ L(x,y,z),u,x \ L(x,y,z)) = x \ L(x,y,z). L(x,y,z) * u = x * ((u / x) * L(x,y,z)). x * ((y / x) * L(x,z,u)) = L(x,z,u) * y. L(T(x,y) \ z,u,w) * (x \ z) = (T(x,y) \ z) * (K(x,y) * L(T(x,y) \ z,u,w)). (T(x,y) \ z) * (K(x,y) * L(T(x,y) \ z,u,w)) = L(T(x,y) \ z,u,w) * (x \ z). (L(x,y,z) * (x \ u)) / L(x \ 1,y,z) = u / (x \ 1). T(x * (L(x,y,z) \ u),x) = L(x,y,z) \ (u * x). x * y != z * a(u,w,v5) | x \ (a(u,w,v5) * z) = y. x \ (a(y,z,u) * L(x,w,v5)) = (a(y,z,u) / x) * L(x,w,v5). x \ L(L(x,y,z),u,w) = (L(x \ L(x,u,w),y,z) / x) * L(x,y,z). (L(x \ L(x,y,z),u,w) / x) * L(x,u,w) = x \ L(L(x,u,w),y,z). (x \ K(y,z)) * u != w | (x \ 1) * (K(y,z) * u) = w. T(x * (L(x,y,z) \ u),x) != w | L(x,y,z) \ (u * x) = w. x != K(y,(z * u) \ (z * w)) | K(y,(z \ u) \ (z \ w)) = x. K(x,(y \ z) \ (y \ u)) = K(x,L(z \ u,w,v5)). K(x,L(y \ z,u,w)) = K(x,(v5 \ y) \ (v5 \ z)). T(x,T(L(y,z,u) * w,K(w,v5)) \ v6) != v7 | T(x,L(T(y,T(w,v5)),z,u) \ (w \ v6)) = v7. T(x,y * (L(y,z,u) \ w)) != v5 | T(x,(y \ L(y,z,u)) \ w) = v5. T(x,T(y,z) \ u) != w | T(x,(y * z) \ (z * u)) = w. L(x,y,L(z,u,w) \ z) != v5 | L(x,y,z * L(z,u,w)) = v5. L(x,y,z \ L(z,u,w)) != v5 | L(x,y,z * L(z,u,w)) = v5. L(x,y,z \ R(z,u,w)) != v5 | L(x,y,z * R(z,u,w)) = v5. K(x,(y \ z) \ (y \ u)) != w | K(x,z \ u) = w. K(x,(y / z) \ (z \ u)) != w | K(x,T(y,z) \ u) = w. (x * K(y,x)) \ ((x * (K(y,x) * z)) * u) = x \ ((x * z) * u). x * (L(T(x,y),z,u) \ y) = L(x,z,u) \ (y * x). a(x,y,T(z,y)) * ((z * y) * x) = (y * T(z,y)) * R(x,y,T(z,y)). a(x,y,z * K(u,w)) = ((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w). ((x * (y * (z * K(u,w)))) \ ((x * y) * z)) * K(u,w) = a(x,y,z * K(u,w)). x \ (y * (z * (u * K(w,v5)))) = (x \ (y * (z * u))) * K(w,v5). x * y != ((K(z,u) * w) * v5) * v6 | (K(z,u) * ((w * v5) * v6)) / y = x. (K(x,y) * ((z * u) * w)) / (u * w) = R(K(x,y) * z,u,w). x * y != ((K(z,u) * w) * v5) * v6 | x \ (K(z,u) * ((w * v5) * v6)) = y. ((K(x,y) * z) * (u * w)) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w). a(x,y * (z * K(u,w)),v5) = ((x * (y * (z * K(u,w)))) * v5) / (x * ((y * z) * (K(u,w) * v5))). ((x * (y * (z * K(u,w)))) * v5) / (x * ((y * z) * (K(u,w) * v5))) = a(x,y * (z * K(u,w)),v5). (x * (y * (z * K(u,w)))) * v5 = (x * (y * z)) * (K(u,w) * v5). (x * (y \ K(z,u))) \ w = K(u,z) * ((x * (y \ 1)) \ w). K(x,y) * ((z * (u \ 1)) \ w) = (z * (u \ K(y,x))) \ w. (x * (y * (z * K(u,w)))) \ v5 = K(w,u) * ((x * (y * z)) \ v5). (L(x,y,z) * u) * x = (x * u) * L(x,y,z). (x \ y) * x = (x * (x \ (L(x,z,u) \ y))) * L(x,z,u). (x * (x \ (L(x,y,z) \ u))) * L(x,y,z) = (x \ u) * x. L(x,y,z) * u = L(T(x,w),y,z) * (K(w,x) * u). L(T(x,y),z,u) * (K(y,x) * w) = L(x,z,u) * w. K(x,a(y,z,u) / w) = K(x,(y * z) / ((w * (y * (z * u))) / u)). K(x,(y * z) / ((u * (y * (z * w))) / w)) = K(x,a(y,z,w) / u). x \ y != K(z,u) * (L(T(u,z),w,v5) * v6) | x * (L(u,w,v5) * v6) = y. T(x,y) * (L(x,z,u) * w) = x * (L(T(x,y),z,u) * w). x != L(L(y,z,u),w,v5) \ (L(y,w,v5) * v6) | L(y,w,v5) * (L(L(y,w,v5),z,u) \ v6) = x. L(x,y,z) * (L(L(x,y,z),u,w) \ L(x,u,w)) = T(L(x,u,w) * (L(L(x,u,w),y,z) \ L(x,y,z)),L(x,u,w)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ L(x,u,w)),L(x,y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ L(x,y,z)). L(x,y,z) \ (u * x) != T(w,x) | x * (L(x,y,z) \ u) = w. T(x,y) != L(y,z,u) \ (w * y) | y * (L(y,z,u) \ w) = x. T(L(T(x,y),z,u) * (L(L(T(x,y),z,u),w,v5) \ y),L(T(x,y),z,u)) = L(L(T(x,y),z,u),w,v5) \ (L(x,z,u) * y). T((L(x,y,z) \ 1) * (L(L(x,y,z) \ 1,u,w) \ x),L(x,y,z) \ 1) = L(L(x,y,z) \ 1,u,w) \ (L(x,y,z) \ x). T(L(1 / x,y,z) * (L(L(1 / x,y,z),u,w) \ x),L(1 / x,y,z)) = L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)). L(x,y,z) * (L(L(T(x,u),y,z),w,v5) \ u) = L(L(x,y,z),w,v5) \ (u * L(x,y,z)). L(T(x,y),z,u) \ w = K(y,x) * (L(x,z,u) \ w). K(x,y) * (L(y,z,u) \ w) = L(T(y,x),z,u) \ w. T(L(x,y,z) \ u,x) = L(T(x,L(x,y,z) \ u),y,z) \ u. L(T(x,L(x,y,z) \ u),y,z) \ u = T(L(x,y,z) \ u,x). x \ y != K(z,u) * (L(u,w,v5) \ v6) | x * (L(T(u,z),w,v5) \ v6) = y. T(x,y) * (L(T(x,y),z,u) \ w) = x * (L(x,z,u) \ w). T(x,y) * (L(T(x,y),z,u) \ w) != v5 | x * (L(x,z,u) \ w) = v5. L(T(x,y),z,u) * (L(T(x,y),w,v5) \ v6) = L(x,z,u) * (L(x,w,v5) \ v6). L(x * y,L(a(z,u,w),y,x),L(a(z,u,w),y,x)) / (x * (y * a(z,u,w))) = 1 / L(a(z,u,w),y,x). L(x,L(y,z,u) \ y,L(y,z,u) \ y) != w | (((L(y,z,u) \ y) \ 1) * x) * (L(y,z,u) \ y) = w. K((x \ y) / z,u) = K(x \ (y / z),u). (K(x \ (y / z),u) / u) \ (1 / u) = K(u,(x \ y) / z). L(x \ y,x,y \ z) \ z = T((z / y) * x,x \ y). L(x,y,z * L(u \ 1,w,v5)) != v6 | L(x,y,z * L(u,w,v5)) = v6. L(x,y,z * (u * L(u,w,v5))) != v6 | L(x,y,z * (u \ L(u,w,v5))) = v6. T(x * y,(x * y) \ (y * z)) = T(x * y,x \ z). (x * y) / T(z * x,z \ y) = (z * x) \ (x * y). ((x \ y) * z) / T(y,x \ z) = (x * (x \ y)) \ ((x \ y) * z). (x * (x \ y)) \ ((x \ y) * z) = ((x \ y) * z) / T(y,x \ z). L(a(x,y,z),a(x,y,z) \ u,u \ w) \ w = T((w / u) * (a(x,y,z) \ u),(a(x,y,z) \ u) \ u). T((x / y) * (a(z,u,w) \ y),(a(z,u,w) \ y) \ y) = L(a(z,u,w),a(z,u,w) \ y,y \ x) \ x. x / ((y \ L(y,z,u)) * x) = ((y \ L(y,z,u)) * x) \ ((y \ L(y,z,u)) \ ((y \ L(y,z,u)) * x)). ((x \ L(x,y,z)) * u) \ ((x \ L(x,y,z)) \ ((x \ L(x,y,z)) * u)) = u / ((x \ L(x,y,z)) * u). T(x,L(y,z,u) * (y \ (w \ y))) = T(x,w \ L(y,z,u)). (L(x \ y,z,u) \ 1) * T(w,y \ x) = w * (L(x \ y,z,u) \ 1). (L(a(x,y,z),u,w) \ 1) * v5 = v5 * (L(a(x,y,z),u,w) \ 1). (1 / x) \ R(T(x,x \ 1),y,z) != u | x * R(x,y,z) = u. x * R(x,y,z) = (x \ 1) \ R(x,y,z). (x \ 1) \ R(x,y,z) = x * R(x,y,z). (x \ 1) * R(x * R(x,y,z),u,w) = x * R(x \ R(x,y,z),u,w). (R(x,y,z) \ (x \ 1)) \ R(R(x,y,z) \ (x \ 1),u,w) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). (K(x,y) * z) * R((K(x,y) * z) \ u,w,v5) = z * T(K(x,y) * R(u / (K(x,y) * z),w,v5),K(x,y) * z). x * T(K(y,z) * R(u / (K(y,z) * x),w,v5),K(y,z) * x) = (K(y,z) * x) * R((K(y,z) * x) \ u,w,v5). R(a(x,y,z) \ 1,a(x,y,z),u) = (a(x,y,z) * (u \ 1)) \ (u \ 1). (x * x) * R(a(y,z,u) \ 1,a(y,z,u),x) = (a(y,z,u) * (x \ 1)) \ x. x * y != (z \ L(z,u,w)) * (z * v5) | x \ (z * (v5 * (z \ L(z,u,w)))) = y. L(x,y,z) \ (x * (u * (x \ L(x,y,z)))) = L(u,x,x * L(x,y,z)). a(x \ L(x,y,z),x,u) = (x * (u * (x \ L(x,y,z)))) \ (((x \ L(x,y,z)) * x) * u). (x * (y * (x \ L(x,z,u)))) \ (((x \ L(x,z,u)) * x) * y) = a(x \ L(x,z,u),x,y). x \ (y * L(y \ x,z,u)) = (y / x) \ L(y / x,z,u). (x / y) \ L(x / y,z,u) = y \ (x * L(x \ y,z,u)). L(x \ L(x,y,z),u,x * L(x,y,z)) = x \ L(x,y,z). (x / (y \ 1)) * L(y \ 1,z,u) = L(y,z,u) * (y \ x). (L(x,y,z) \ u) * L(x,y,z) = (x \ u) * x. x != (y \ L(z,u,w)) * y | L((y \ z) * y,u,w) = x. L((x \ y) * x,z,u) = (L(x,w,v5) \ L(y,z,u)) * L(x,w,v5). (L(x,y,z) \ L(u,w,v5)) * L(x,y,z) = L((x \ u) * x,w,v5). x != L(y,z,u) * w | y * ((w / y) * L(y,z,u)) = x. x * (((L(L(x,y,z),u,w) \ v5) / x) * L(x,y,z)) = T(L(x,y,z),v6) * (L(T(L(x,y,z),v6),u,w) \ v5). T(L(x,y,z),u) * (L(T(L(x,y,z),u),w,v5) \ v6) = x * (((L(L(x,y,z),w,v5) \ v6) / x) * L(x,y,z)). (x \ y) * (L(T(y / x,x),z,u) \ w) = (y / x) * (L(y / x,z,u) \ w). (K(x,y) / y) \ (1 / y) != z | K(y,x) = z. K(x,y \ (z / u)) = K(x,(y \ z) / u). K(x,(y \ z) / u) = K(x,y \ (z / u)). K(x,(y \ (z * u)) / u) = K(x,y \ z). K(x,y / (z \ u)) = K(x,(u / y) \ z). K(x,y * (z \ u)) = K(x,(z / y) \ u). K(x,(y / z) \ u) = K(x,z * (y \ u)). K(x,T(y,z) \ u) = K(x,z * (y \ (z \ u))). K(x,y * (z \ (y \ u))) = K(x,T(z,y) \ u). K(x,y * (z \ (y \ u))) != w | K(x,T(z,y) \ u) = w. K(x,(L(y,z,u) * L(y \ 1,z,u)) * (w \ ((L(y,z,u) * (y \ L(y,z,u))) \ v5))) = K(x,T(w,L(y,z,u) * L(y \ 1,z,u)) \ (y \ v5)). x != y \ (z * L(z \ y,u,w)) | (y \ z) \ L(y \ z,u,w) = x. (x \ y) \ L(x \ y,z,u) = (y / x) \ L(y / x,z,u). (x / y) \ L(x / y,z,u) = (y \ x) \ L(y \ x,z,u). R(x,y,z) \ L(((x * y) * z) / (y * z),u,w) = (y * z) \ (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)). (x * y) \ (((z * x) * y) * L(((z * x) * y) \ (x * y),u,w)) = R(z,x,y) \ L(((z * x) * y) / (x * y),u,w). (x / (y \ 1)) * L(y \ 1,z,u) != w | x * (L(y,y,x) \ L(L(y,y,x),z,u)) = w. x * (L(y,y,x) \ L(L(y,y,x),z,u)) = L(y,z,u) * (y \ x). (x / y) \ L(x / y,z,u) != w | y \ (x * L(x \ y,z,u)) = w. a(x,T(y,z),K(z,y) * u) = a(x,y,u). a(x,T(y,z),u) = a(x,y,K(y,z) * u). a(x,y,K(y,z) * u) = a(x,T(y,z),u). L((x \ R(x,y,z)) \ u,x \ R(x,y,z),x * R(x,y,z)) = ((x \ R(x,y,z)) \ 1) * u. (K(x,y) * ((z * u) * w)) / (u * w) != v5 | K(x,y) * R(z,u,w) = v5. K(x,y) * R(z,u,w) = R(K(x,y) * z,u,w). R(K(x,y) * z,u,w) = K(x,y) * R(z,u,w). x != K(y,z) * R(T(u,K(z,y)),w,v5) | R(u,w,v5) * K(y,z) = x. R(x,y,z) * K(u,w) = R(K(u,w) * T(x,K(w,u)),y,z). R(K(x,y) * T(z,K(y,x)),u,w) = R(z,u,w) * K(x,y). x \ y != K(z,u) * R(w,v5,v6) | x * R(K(z,u) * w,v5,v6) = y. x * R(K(x,y) * z,u,w) = T(x,y) * R(z,u,w). x * R(K(y \ x,y) * (((y \ x) * y) \ z),u,w) = (y \ x) * (y * R(y \ ((y \ x) \ z),u,w)). x * R(x \ y,z,u) = T(x,w) * R(T(x,w) \ y,z,u). T(x,y) * R(T(x,y) \ z,u,w) = x * R(x \ z,u,w). R(x * K(y,z),u,w) = R(x,u,w) * K(y,z). x != R(y,z,u) * K(z,u) | ((y * z) * u) / (u * z) = x. ((x * y) * z) / (z * y) = R(x * K(y,z),y,z). (x \ y) / T(y,z) = R((x \ 1) * K(z,y),x,y). R((x \ 1) * K(y,z),x,z) = (x \ z) / T(z,y). R(x * K(y,z),u,w) * v5 = R(x,u,w) * (K(y,z) * v5). R(x * K(y,z),u,w) \ v5 = K(z,y) * (R(x,u,w) \ v5). R(x * K(y,z),y,z) \ L(((x * y) * z) / (z * y),u,w) = (z * y) \ (((x * y) * z) * L(((x * y) * z) \ (z * y),u,w)). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = R(z * K(y,x),y,x) \ L(((z * y) * x) / (x * y),u,w). R(x \ K(y,z),x,z) = (x \ z) / T(z,y). T(x,y) * R(T(x,y) \ y,z,u) != w | T(x * R(x \ y,z,u),y) = w. T(x * R(x \ y,z,u),y) = x * R(x \ y,z,u). x * (T(y,x) * R(T(y,x) \ (x \ z),u,w)) = T(y,v5) * (x * R(x \ (T(y,v5) \ z),u,w)). T(x,y) * (z * R(z \ (T(x,y) \ u),w,v5)) = z * (T(x,z) * R(T(x,z) \ (z \ u),w,v5)). ((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ (u * z)),w,v5)) = (x * R(x \ u,w,v5)) * z. (L(T(x,L(x,y,z) \ 1),y,z) * L(T(x,L(x,y,z) \ 1),y,z)) * (u * (1 / L(T(x,L(x,y,z) \ 1),y,z))) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). (x * a(y,z,u)) \ ((x * w) * a(y,z,u)) = L(w,x,a(y,z,u)). x \ y != L(z,u,a(w,v5,v6)) | x * ((a(w,v5,v6) * u) \ ((u * z) * a(w,v5,v6))) = y. 1 * ((a(x,y,z) * u) \ ((u * w) * a(x,y,z))) = L(w,u,a(x,y,z)). (x * a(a(y,z,u),w,v5)) \ v6 = x \ (a(a(y,z,u),w,v5) \ v6). x * y != (z * a(a(u,w,v5),v6,v7)) * v8 | (a(a(u,w,v5),v6,v7) * (z * v8)) / y = x. (a(a(x,y,z),u,w) * (v5 * v6)) / (v5 * (a(a(x,y,z),u,w) * v6)) = a(v5,a(a(x,y,z),u,w),v6). a(x * a(a(y,z,u),w,v5),v6,v7) = (a(a(y,z,u),w,v5) * (x * (v6 * v7))) \ (((x * a(a(y,z,u),w,v5)) * v6) * v7). (a(a(x,y,z),u,w) * (v5 * (v6 * v7))) \ (((v5 * a(a(x,y,z),u,w)) * v6) * v7) = a(v5 * a(a(x,y,z),u,w),v6,v7). a(x,y,z) * (a(u,w,v5) * v6) = (v6 * a(u,w,v5)) * T(a(x,y,z),v7). (x * a(y,z,u)) * T(a(w,v5,v6),v7) = a(w,v5,v6) * (a(y,z,u) * x). (L(a(x,y,z) \ 1,u,w) \ 1) \ L(v5,L(a(x,y,z) \ 1,u,w),L(a(x,y,z) \ 1,u,w)) = L(a(x,y,z) \ 1,u,w) * v5. L(x,y,z) \ T(L(x,y,z) * ((1 / L(x,y,z)) * L(x,u,w)),v5) = T(L(x,u,w),v5) * (L(x,y,z) \ 1). ((x * L(x,y,z)) \ u) * (x \ L(x,y,z)) = (x * x) \ u. L(x \ y,z,u) \ (x \ y) = L(y / x,z,u) \ (y / x). L(x / y,z,u) \ (x / y) = L(y \ x,z,u) \ (y \ x). a((L(x \ y,z,u) \ (x \ y)) \ w,v5,v6) = a(((y / x) * L(y / x,z,u)) \ w,v5,v6). x \ y != (z / u) * L(u,w,v5) | x * ((z * L(u,w,v5)) / u) = y. x * ((a(y,z,u) * L(x,w,v5)) / x) = a(y,z,u) * L(x,w,v5). (x * K(y,x)) \ (((x * K(y,x)) * z) * u) = x \ ((x * z) * u). (x * y) \ (x * (y * (z * K(u,w)))) = L(z,y,x) * K(u,w). L(x * K(y,z),u,w) = L(x,u,w) * K(y,z). K(x,y) * L(K(x,y) \ z,u,w) = L(z,u,w). x * y != L(z,u,w) * K(v5,v6) | x \ L(z * K(v5,v6),u,w) = y. x \ L(y * K(z,u),w,v5) = (x \ L(y,w,v5)) * K(z,u). (x * L(y,z,u)) \ (x * L(y * K(w,v5),z,u)) = K(w,v5). L(x * K(y,z),u,w) * v5 = L(x,u,w) * (K(y,z) * v5). L(x * K(y,z),u,w) \ v5 = K(z,y) * (L(x,u,w) \ v5). L(x * K(y,z),u,w) \ v5 != v6 | K(z,y) * (L(x,u,w) \ v5) = v6. x \ y != K(z,u) * L(K(z,u) \ w,v5,v6) | x * L(w,v5,v6) = y. K(x,y) * L(z,u,w) = L(K(x,y) * z,u,w). L(K(x,y) * z,u,w) = K(x,y) * L(z,u,w). x * L(x \ K(y,z),u,w) = (x \ L(x,u,w)) * K(y,z). (x \ L(x,y,z)) * K(u,w) = x * L(x \ K(u,w),y,z). x * L(x \ y,z,u) = T(x,w) * L(T(x,w) \ y,z,u). T(x,y) * L(T(x,y) \ z,u,w) = x * L(x \ z,u,w). K(x,y) * L(T(x,y) \ z,u,w) = L(x \ z,u,w). x \ y != K(z,u) * L(w,v5,v6) | x * L(K(z,u) * w,v5,v6) = y. (x \ y) * L(K(x,x \ y) * z,u,w) = (y / x) * L(z,u,w). L(K(x,y) * z,u,w) * v5 = K(x,y) * (L(z,u,w) * v5). L(K(x,y) * z,u,w) \ v5 = L(z,u,w) \ (K(y,x) * v5). L(x,y,z) * L(K(x,u) * w,v5,v6) = L(T(x,u),y,z) * L(w,v5,v6). x \ L(T(y,z),u,w) = (x \ L(y,u,w)) * K(y,z). (x \ L(y,z,u)) * K(y,w) = x \ L(T(y,w),z,u). x \ L(R(y * K(z,u),w,v5),v6,v7) = (x \ L(R(y,w,v5),v6,v7)) * K(z,u). K(x,y) * z != u \ L(T(x,y),w,v5) | T(u \ L(x,w,v5),K(x,y)) = z. T(x \ L(y,z,u),K(y,w)) = K(w,y) * (x \ L(T(y,w),z,u)). K(x,y) * (z \ L(T(y,x),u,w)) = T(z \ L(y,u,w),K(y,x)). (x \ L(T(y,z),u,w)) * v5 = (x \ L(y,u,w)) * (K(y,z) * v5). (x \ L(y,z,u)) * (K(y,w) * v5) = (x \ L(T(y,w),z,u)) * v5. (x * L(y \ T(z,u),w,v5)) \ (x * L(y \ z,w,v5)) = K(u,z). L(x \ K(y,z),u,w) * v5 = L(x \ 1,u,w) * (K(y,z) * v5). L(x \ 1,y,z) * (K(u,w) * v5) = L(x \ K(u,w),y,z) * v5. L(T(x / T(y,z),y),u,w) \ v5 = K(y,z) * (L(y \ x,u,w) \ v5). L(x \ 1,y,z) \ u = K(w,v5) * (L(x \ K(w,v5),y,z) \ u). K(x,y) * (L(z \ K(x,y),u,w) \ v5) = L(z \ 1,u,w) \ v5. (x \ (y * L(y \ x,z,u))) * K(w,v5) = (x \ y) * L((x \ y) \ K(w,v5),z,u). 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,u),w) = x * L(x \ T(y,w),z,u). x \ y != T(z,u) * L(T(z,u) \ w,v5,v6) | x * (z * L(z \ w,v5,v6)) = y. x * (y * L(y \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). x * (y * L(y \ (x \ (y * z)),u,w)) = y * (x * L(x \ z,u,w)). (x * y) * L((x * y) \ (y * z),u,w) = y * (x * L(x \ z,u,w)). L(x,L(y \ 1,z,u) \ (K(z * y,u) * w),v5) = L(x,((u * z) \ ((z * y) * u)) \ w,v5). x \ ((y \ x) * z) = ((y \ x) * z) / T(x,y \ z). ((x \ y) * z) / T(y,x \ z) = y \ ((x \ y) * z). L(x \ L(x,y,z),u,w) * L(x,u,w) = L((x \ L(x,y,z)) * x,u,w). x * L(y \ L(y,z,u),y,x) = L(y,z,u) * (y \ x). x * y != z | T(L(y,x,y) * x,y) = z. T(L(L(x \ L(x,y,z),x,u),u,L(x \ L(x,y,z),x,u)) * u,L(x \ L(x,y,z),x,u)) = L(x,y,z) * (x \ u). L(L(x,y,a(z,u,w)),y * a(z,u,w),v5) = (v5 * (y * a(z,u,w))) \ (v5 * ((y * x) * a(z,u,w))). (x * (y * a(z,u,w))) \ (x * ((y * v5) * a(z,u,w))) = L(L(v5,y,a(z,u,w)),y * a(z,u,w),x). (x \ 1) * L(K(x,x \ 1) * y,z,u) != w | x \ L((x \ 1) * (x * y),z,u) = w. x \ L((x \ 1) * (x * y),z,u) = (1 / x) * L(y,z,u). x \ L(x * ((1 / x) * y),z,u) = (1 / x) * L(y,z,u). x * ((1 / x) * L(y,z,u)) = L(x * ((1 / x) * y),z,u). L(x * ((1 / x) * y),z,u) = x * ((1 / x) * L(y,z,u)). (x * L(y \ T(y * z,u),w,v5)) \ (x * L(z,w,v5)) = K(u,y * z). x * y != L(z,u,a(a(w,v5,v6),v7,v8)) | x \ z = y. a(a(x,y,z),u,w) \ v5 = v5 * (a(a(x,y,z),u,w) \ 1). x * (a(a(y,z,u),w,v5) \ 1) = a(a(y,z,u),w,v5) \ x. x * a(y,z,K(u,w)) != v5 * (v6 * a(v7,v8,K(v9,v10))) | v5 * v6 = x. T(x,a(y,z,u) \ ((y * (z * u)) \ w)) != v5 | T(x,u \ ((y * z) \ w)) = v5. K(x,a(y,z,u) / w) != v5 | K(x,y / (((w * (y * (z * u))) / u) / z)) = v5. L(x,y,z * L(u,w,v5)) = L(x,y,L(u \ 1,w,v5) * z). L(x,y,L(z \ 1,u,w) * v5) = L(x,y,v5 * L(z,u,w)). L(x,y,L(L(z \ 1,u,w),v5,v6)) = L(x,y,L(z \ L(z,v5,v6),u,w) * L(z,u,w)). L(x,y,L(z \ L(z,u,w),v5,v6) * L(z,v5,v6)) = L(x,y,L(L(z \ 1,v5,v6),u,w)). L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,v7 * L(L(z,u,w) \ z,v5,v6)). a(x,y,z) * (u / (a(x,y,z) * a(x,y,z))) = u * (a(x,y,z) \ 1). (a(x,y,z) * ((u * u) \ (a(x,y,z) * L(a(x,y,z) \ w,v5,v6)))) \ v7 = L(w * a(x,y,z),v5,v6) \ ((u * u) * v7). ((x * a(y,z,u)) \ ((w * w) * L(a(y,z,u) * ((w * w) \ x),v5,v6))) \ 1 = L(a(y,z,u) * ((w * w) \ x),v5,v6) \ (a(y,z,u) * ((w * w) \ x)). (x * (y * a(z,u,w))) / T(a(z,u,w) * x,y) = L(y,a(z,u,w),x). x != (y \ L(z,u,w)) * (K(z,v5) * v6) | (y \ L(T(z,v5),u,w)) * v6 = x. (x \ L(T(x,y),z,u)) * w = K(x,y) * (w * (x \ L(x,z,u))). K(x,y) * (z * (x \ L(x,u,w))) = (x \ L(T(x,y),u,w)) * z. x \ y != (z \ L(T(z,u),w,v5)) * v6 | x * (K(z,u) * (v6 * (z \ L(z,w,v5)))) = y. x * (K(x,y) * (z * (x \ L(x,u,w)))) = L(T(x,y),u,w) * L(z,x \ L(T(x,y),u,w),x). L(T(x,y),z,u) * L(w,x \ L(T(x,y),z,u),x) = x * (K(x,y) * (w * (x \ L(x,z,u)))). ((x * x) \ (y / L(z,u,w))) * z != v5 | ((x * x) \ z) * (L(z,u,w) \ y) = v5. ((x * x) \ (y / L(z,u,w))) * z = z * (L((x * x) * z,u,w) \ y). (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * T(x \ R(x,y,z),v5) = L(T(x \ R(x,y,z),v5),u,w). x \ y != T(z,u) * (z \ L(T(z,u),w,v5)) | x * (T(T(z,u),u) * (z \ L(z,w,v5))) = y. x * (T(T(x,y),y) * (x \ L(x,z,u))) = T(x,y) * L(T(x,y),z,u). (L(x \ L(x,y,z),u,w) \ 1) * v5 = v5 * (L(x \ L(x,y,z),u,w) \ 1). T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)) = (u * u) * R(a(x,y,z) \ 1,a(x,y,z),u). x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = L(u,x,x * L(x,y,z)). L(x,y,z) * L(T(T(x,u),u),w,v5) = L(T(x,u),y,z) * L(T(x,u),w,v5). L(T(x,y),z,u) * L(T(x,y),w,v5) = L(x,z,u) * L(T(T(x,y),y),w,v5). x != ((y * y) \ 1) * z | (y * y) \ z = x. (x * x) \ (y * L(y \ z,u,w)) = y * (((x * x) \ 1) * L(((x * x) \ 1) \ (y \ (((x * x) \ 1) * z)),u,w)). x * (((y * y) \ 1) * L(((y * y) \ 1) \ (x \ (((y * y) \ 1) * z)),u,w)) = (y * y) \ (x * L(x \ z,u,w)). x * (K(y,z) * L(K(y,z) \ (x \ 1),u,w)) = K(y,z) * (x * L(x \ K(z,y),u,w)). T(x * L(x \ (x * y),z,u),w) \ (x * L(y,z,u)) = K(w,x * y). a(x,y,z) * (u \ (w / (a(x,y,z) * a(x,y,z)))) = (u \ w) * (a(x,y,z) \ 1). x * L(T(T(x,y),y),z,u) = T(x,y) * L(T(x,y),z,u). T(x,y) * L(T(x,y),z,u) = x * L(T(T(x,y),y),z,u). x * (L(x,y,z) \ (x * (u * (x \ L(x,y,z))))) = L(x * u,x,x * L(x,y,z)). x * (L(x,y,z) \ ((x \ L(x,y,z)) * u)) = L(u,x,x * L(x,y,z)). T(x * L(y,z,u),w) \ (x * L(y,z,u)) = K(w,x * y). K(x,y * L(z,u,w)) = K(x,y * z). K(x,y * L(y \ z,u,w)) = K(x,z). K(x,y * (z * u)) = K(x,(y * z) * u). K(x,(y * z) * u) = K(x,y * (z * u)). K(x,L(y,z,u) * w) = K(x,y * w). K(x,L(y,z,u) * (y \ w)) = K(x,w). K(x,y \ L(z,u,w)) = K(x,y \ z). K(x,(y \ L(y,z,u)) * w) = K(x,w). K(x,L(y,z,u) * (y \ w)) != v5 | K(x,y * (L(y \ 1,z,u) * w)) = v5. K(x,y * (L(y \ 1,z,u) * w)) = K(x,w). K(x,y \ z) = K(x,L(y,u,w) \ z). K(x,L(y,z,u) \ w) = K(x,y \ w). K(x,y \ (z \ L(u,w,v5))) = K(x,(z * y) \ u). x \ y != K(z,u \ L(w,v5,v6)) | x * K(z,u \ w) = y. (x \ L(y,z,u)) * K(x,x \ y) = L(y,z,u) / x. K(x,y \ ((z * u) \ w)) = K(x,y \ (u \ (z \ w))). K(x,T(y,z \ L(z,u,w)) \ v5) = K(x,y \ ((z \ L(z,u,w)) \ v5)). K(x,y) = K(x,(z \ L(z,u,w)) \ y). K(x,(y \ L(y,z,u)) \ w) = K(x,w). T(x,K(y,L(z,u,w) \ v5)) != v6 | T(x,K(y,z * v5)) = v6. x != K(y,(z * u) \ w) | K(y,u \ (z \ w)) = x. K(x,y \ (z \ u)) = K(x,y \ (z \ L(u,w,v5))). K(x,y \ (z \ L(u,w,v5))) = K(x,y \ (z \ u)). (x \ L(x \ L(x,y,z),u,w)) * K(x,L(x \ 1,y,z)) = L(x \ L(x,y,z),u,w) / x. x * (L(x,y,z) \ (((1 / x) * L(x,y,z)) * u)) = L(u,x,x * L(x,y,z)). x * (L(x,y,z) \ ((x \ L(x,y,z)) \ R(x \ L(x,y,z),u,w))) = L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)). K(x,y \ z) = K(x,y \ ((u \ L(u,w,v5)) \ z)). K(x,y \ ((z \ L(z,u,w)) \ v5)) = K(x,y \ v5). (K(x,y) * (z * u)) \ (K(x,y) * (z * (u * w))) = L(w,u,K(x,y) * z). K(x,(y * z) / (u / T(w,z))) = K(x,R(y,z,T(w,z)) / (u / (w * z))). K(x,R(y,z,T(u,z)) / (w / (u * z))) = K(x,(y * z) / (w / T(u,z))). (L(x \ (y * L(y \ x,z,u)),w,v5) / (x \ y)) * L(x \ y,w,v5) = (x \ y) \ L(L(x \ y,w,v5),z,u). L(x \ L(x,y,z),u,w) * L(x,u,w) = L(L(x,y,z),u,w). L(L(x,y,z),z * y,K(u,w)) = L(x,y,K(u,w) * z). L(x,y,z) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w). L(x,y,K(z,u) * w) != v5 | L(x,y,w) = v5. L(x,y,(z / u) * w) = L(x,y,(u \ z) * w). L(x,y,z * u) = L(x,y,z * (K(w,v5) * u)). L(x,y,z * (K(u,w) * v5)) = L(x,y,z * v5). L(x,y,(z * u) / z) != w | L(x,y,u) = w. L(x,y,T(z,u) * w) != v5 | L(x,y,z * w) = v5. L(x,y,z * K(u,w)) != v5 | L(x,y,z) = v5. L(x,y,(z / u) * w) != v5 | L(x,y,(u \ z) * w) = v5. L(x,y,(T(z,u) \ w) * v5) != v6 | L(x,y,(z \ w) * v5) = v6. L(x,y,L(z / u,w,v5)) != v6 | L(x,y,L(u \ z,w,v5)) = v6. L(x,y,z) = ((z * K(u,w)) * y) \ ((z * K(u,w)) * (y * x)). ((x * K(y,z)) * u) \ ((x * K(y,z)) * (u * w)) = L(w,u,x). L(x,y,z \ (u / w)) != v5 | L(x,y,z \ (w \ u)) = v5. L(x,y,(1 / z) * u) != w | L(x,y,L(u \ z,u,z)) = w. L(x,y,L(z \ u,z,u)) = L(x,y,(u \ 1) * z). L(x \ y,z,(1 / x) * y) != u | L(x \ y,z,x \ y) = u. L(x \ y,z,x \ y) = L(x \ y,z,(x \ 1) * y). L(x \ y,z,(x \ 1) * y) = L(x \ y,z,x \ y). L(x,y,((K(z,u) * w) / (v5 * T(z,u))) * v6) = L(x,y,(T(v5 * z,K(z,u)) \ w) * v6). L(x,y,z * (T(u,w) * v5)) = L(x,y,z * (u * v5)). L(x,y,(z * u) * w) = L(x,y,(z * T(u,v5)) * w). L(x,y,(z * T(u,w)) * v5) = L(x,y,(z * u) * v5). L(x,y,(z \ (u * T(w,v5))) * v6) = L(x,y,(z \ (u * w)) * v6). L(x,y,R(z * K(u,w),v5,v6) * v7) = L(x,y,R(z,v5,v6) * v7). L(x,y,L(z \ u,z,u)) != w | L(x,y,z * u) = w. L(x \ y,z,y * x) = L(x \ y,z,x \ y). L(x \ y,z,x \ y) = L(x \ y,z,y * x). L(L(x \ y,z,u),w,L(x * y,z,u)) = L(L(x \ y,w,y * x),z,u). L(x,y,z * (u * T(w,v5))) = L(x,y,(u * w) * z). L(x,y,R(z * K(u,z),u,w) * v5) != v6 | L(x,y,((u * w) \ ((u * z) * w)) * v5) = v6. (x * (K(y,z) * u)) \ ((x * K(y,z)) * (u * w)) = L(w,u,x). (x * (K(y,z) * u)) \ (x * (K(y,z) * (u * w))) = L(w,u,x). x != y | L(y,z,K(u,w)) = x. L(L(x,y,z),u,K(w,v5)) = (z * (K(v6,v7) * y)) \ (z * (K(v6,v7) * (y * x))). K(x,R(y,z,T(u,z)) / (w / (u * z))) != v5 | K(x,y / ((w / T(u,z)) / z)) = v5. x != a(y,z \ L(z,u,w),v5) | a(y,z * L(z,u,w),v5) = x. a(x,x * L(x,y,z),u) = (x * (u * (x \ L(x,y,z)))) \ (L(x,y,z) * u). (x * (y * (x \ L(x,z,u)))) \ (L(x,z,u) * y) = a(x,x * L(x,z,u),y). (T(x,y) \ 1) \ (L(T(x,y),z,u) \ w) = x \ (L(1 / x,z,u) \ w). (x \ 1) \ (L(x,y,z) \ u) != w | x \ (L(1 / x,y,z) \ u) = w. T(x,y) \ (L(1 / T(x,y),z,u) \ w) = x \ (L(1 / x,z,u) \ w). T(x,y) * (L(x,z,u) * (L(x,w,v5) \ 1)) = L(T(x,y),z,u) * (L(T(x,y),w,v5) \ T(x,y)). L(T(x,y),z,u) * (L(T(x,y),w,v5) \ T(x,y)) = T(x,y) * (L(x,z,u) * (L(x,w,v5) \ 1)). (x \ y) * (L(x \ y,z,u) \ w) = (y / x) * (L(y / x,z,u) \ w). (x / y) * (L(x / y,z,u) \ w) = (y \ x) * (L(y \ x,z,u) \ w). L(x / y,z,u) \ K(y,y \ x) = (y \ x) * (L(y \ x,z,u) \ ((y \ x) \ 1)). (x \ y) * (L(x \ y,z,u) \ ((x \ y) \ 1)) = L(y / x,z,u) \ K(x,x \ y). L(x / y,z,u) \ x = (y \ x) * (L(y \ x,z,u) \ y). (x \ y) * (L(x \ y,z,u) \ x) = L(y / x,z,u) \ y. (((x * x) * y) / x) * (L(((x * x) * y) / x,z,u) \ w) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). (x \ 1) * (K(y,z) * (L(x \ K(y,z),u,w) \ x)) = L(K(y,z) / x,u,w) \ K(y,z). x * (L(y \ (y * x),z,u) \ y) = L((y * x) / y,z,u) \ (y * x). L((x * y) / x,z,u) \ (x * y) = y * (L(x \ (x * y),z,u) \ x). (x \ (y \ (z * (y * x)))) * (L(x \ (y \ (z * (y * x))),x,y) \ x) = T((x * z) / x,y * x) \ (y \ (z * (y * x))). L((x * y) / x,z,u) \ (x * y) = y * (L(y,z,u) \ x). L(((L(1 / L(x,y,z),u,w) \ 1) * x) / (L(1 / L(x,y,z),u,w) \ 1),y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). K(x,y / (((z * (y * (u * w))) / w) / u)) = K(x,z \ a(y,u,w)). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / (u * w)) / K(w \ 1,w))) = K(x,z \ a(y,K(w \ 1,w),u * w)). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / T(u,w)) / (1 / (1 / w)))) = K(x,z \ a(y,1 / (1 / w),T(u,w))). x * y != x * (L(z \ L(z,u,w),v5,v6) \ 1) | T(L(z \ L(z,u,w),v5,v6) \ 1,x) = y. T(L(x \ L(x,y,z),u,w) \ 1,v5) = L(x \ L(x,y,z),u,w) \ 1. x * (L(y \ L(y,z,u),w,v5) \ 1) != v6 | (L(y \ L(y,z,u),w,v5) \ 1) * x = v6. x * (L(x,y,z) \ (((1 / x) * u) * w)) != v5 | (1 / x) * (L(x,y,z) \ ((x * u) * w)) = v5. (1 / x) * (L(x,y,z) \ ((x * L(x,y,z)) * u)) = L(u,x,x * L(x,y,z)). x != (y * (z * u)) \ (y * (z * (u * w))) | L(L(w,u,z),z * u,y) = x. L(L(x,y,K(z,u)),K(z,u) * y,w) = L(L(x,y,w),v5,K(v6,v7)). L(x,K(y,z) * u,w) = L(x,u,w). L(x,K(y,z) * u,w) = L(x,u,w * K(v5,v6)). L(x,T(y,z),u) = L(x,y,u). L(x,y / z,u) = L(x,z \ y,u). L(x,y * T(z,u),w) = L(x,y * z,w). L(x,y * z,u) = L(x,z * y,u). L(x,y * K(z,u),w) = L(x,y,w). L(x,y \ z,u) = L(x,((y \ w) \ w) \ z,u). L(x,((y \ z) \ z) \ u,w) = L(x,y \ u,w). L(x,(y / z) \ u,w) = L(x,(z \ y) \ u,w). L(x,y \ (K(z,u) * w),v5) = L(x,y \ w,v5). L(x,L(y,z,u) * w,v5) = L(x,L(T(y,v6),z,u) * w,v5). L(x,L(T(y,z),u,w) * v5,v6) = L(x,L(y,u,w) * v5,v6). L(x,(y \ z) \ z,u) = L(x,y,u). x != L(y,z,u) | L(y,T(z,w),u) = x. L(x,T(y,z),u) = L(x,T(y,w),u). L(T(x \ y,z) \ u,T(x \ y,z),x) != w | K(z,x \ y) * (y \ (x * u)) = w. K(x,y \ z) * (z \ (y * u)) = L(T(y \ z,x) \ u,y \ z,y). L(T(x \ y,z) \ u,x \ y,x) = K(z,x \ y) * (y \ (x * u)). x \ y != L(z,T(u,w),v5) | x * L(z,u,v5) = y. (x * T(y,z)) * L(u,y,x) = x * (T(y,z) * u). L(x,L(y \ z,u,w),v5) = L(x,L(z / y,u,w),v5). L(x,L(y / z,u,w),v5) = L(x,L(z \ y,u,w),v5). x != L(y,z * u,w) | L(y,z * (u \ 1),w) = x. L(x,y * (z \ 1),u) = L(x,z * y,u). L(x,y * (z * z),u) != w | L(x,y,u) = w. L(x,R(y * K(z,y),u,w),v5) = L(x,R(y,u,w),v5). L(x,y \ L(T(z,u),w,v5),v6) = L(x,y \ L(z,w,v5),v6). L(x,y \ (z * z),u) = L(x,y,u). L(x,T(y,z),u) != w | L(x,y,u) = w. L(x,L(y \ z,y,z),u) = L(x,z * y,u). L(x,L(T(y,z),u,w),v5) != v6 | L(x,L(y,u,w),v5) = v6. L(x,y / z,u) != w | L(x,z \ y,u) = w. L(x,y * z,u) != w | L(x,z * y,u) = w. L(x,L(T(y,T(z,u)),z,z),w) = L(x,z * (y * z),w). L(x,y * (z \ 1),u) != w | L(x,z * y,u) = w. L(x,K(y,z) * u,w) != v5 | L(x,u,w) = v5. L(x,y \ (K(z,u) * w),v5) != v6 | L(x,y \ w,v5) = v6. L(x,R(y * K(z,y),z,u) \ w,v5) = L(x,((z * u) \ ((z * y) * u)) \ w,v5). L(x,(y \ z) \ u,w) = L(x,(T(y,v5) \ z) \ u,w). L(x,(T(y,z) \ u) \ w,v5) = L(x,(y \ u) \ w,v5). x * (T(y,z) * u) != (x * T(y,z)) * w | L(u,y,x) = w. (x * T(y,z)) * u != x * (T(y,z) * w) | L(w,y,x) = u. (T(x,y) * T(z,x)) * L(u,T(x,z),T(z,x)) = T(z,x) * (T(T(x,z),y) * u). L(x,(y \ 1) * z,u) != w | L(x,y * z,u) = w. L(x,R(L(y,y,y),z,u),w) = L(x,R(y,z,u),w). L(x,L(R(y,z,u),y,y),w) = L(x,R(y,z,u),w). L(x,((y * K(z,u)) \ w) \ v5,v6) = L(x,((K(z,u) * y) \ w) \ v5,v6). L(x,((K(y,z) * u) \ w) \ v5,v6) = L(x,((u * K(y,z)) \ w) \ v5,v6). L(x,L(y,z,z),u) = L(x,z * (y * z),u). L(x,y * (z * y),u) = L(x,L(z,y,y),u). L(x,L(y \ z,u,w) * v5,v6) = L(x,L(z / y,u,w) * v5,v6). L(x,L(y / z,u,w) * v5,v6) = L(x,L(z \ y,u,w) * v5,v6). L(x,L(((y * y) * z) / y,u,w) * v5,v6) = L(x,L((1 / y) \ z,u,w) * v5,v6). T(x \ y,z) * (K(z,x \ y) * (y \ (x * T(u,z)))) = T((x \ y) * (y \ (x * u)),z). L(x,((K(y,z) * u) \ w) \ v5,v6) = L(x,(K(z,y) * (u \ w)) \ v5,v6). L(x,((K(y,z) * u) \ w) \ v5,v6) = L(x,(u \ w) \ (K(y,z) * v5),v6). x != L(y,z \ (K(u,w) * v5),v6) | L(y,z \ v5,v6) = x. L(x,(y \ z) \ u,w) = L(x,((K(v5,v6) * y) \ z) \ u,w). L(x,((K(y,z) * u) \ w) \ v5,v6) = L(x,(u \ w) \ v5,v6). L(x,((y * T(z,u)) \ w) \ v5,v6) = L(x,((y * z) \ w) \ v5,v6). L(x,(y \ (K(z,u) * w)) \ v5,v6) = L(x,(y \ w) \ v5,v6). L(x,((y * (z \ u)) \ w) \ v5,v6) = L(x,((y * (u / z)) \ w) \ v5,v6). L(x,((y * (z / u)) \ w) \ v5,v6) = L(x,((y * (u \ z)) \ w) \ v5,v6). (1 / x) * (L(x,y,z) \ u) = L((x * L(x,y,z)) \ u,x,x * L(x,y,z)). L((x * L(x,y,z)) \ u,x,x * L(x,y,z)) = (1 / x) * (L(x,y,z) \ u). (1 / x) * (L(x,y,z) \ (((x \ 1) \ L(x,y,z)) * u)) = L(u,x,x * L(x,y,z)). x != L(T(y,a(z,u,w)),v5,v6) | L(y,v5,v6) = x. L(x,a(y,z,u),w) = (a(y,z,u) * w) \ (w * (x * a(y,z,u))). (a(x,y,z) * u) \ (u * (w * a(x,y,z))) = L(w,a(x,y,z),u). (a(x,y,z) * u) \ (u * (w * a(x,y,z))) != v5 | L(w,a(x,y,z),u) = v5. (a(x,y,z) * L(u,w,a(x,y,z))) \ (a(x,y,z) * (T(w,a(x,y,z)) * T(u,w * a(x,y,z)))) = L(w,a(x,y,z),L(u,w,a(x,y,z))). x \ y != L(z,a(u,w,v5),z) | x * z = y. x * (a(y,z,u) \ x) = (a(y,z,u) \ x) * x. (a(x,y,z) \ u) * u = u * (a(x,y,z) \ u). (K(x,y) * ((z * (u * w)) \ ((z * u) * w))) * K(y,x) = a(z,u,w * K(y,x)). (K(x,y) * (z * (u * w))) \ (K(x,y) * ((z * u) * w)) = a(K(x,y) * z,u,w). ((x * x) \ y) * (L(y,z,u) \ w) = y * (L((x * x) * y,z,u) \ w). ((x * x) \ y) * (L(y,z,u) \ w) = y * (L(y,z,u) \ ((x * x) \ w)). x \ y != ((z * z) \ u) * (L(u,w,v5) \ v6) | x * (u * (L(u,w,v5) \ ((z * z) \ v6))) = y. (x * x) * (y * (L(y,z,u) \ ((x * x) \ w))) = y * (L(y,z,u) \ w). L(x,K(y,z) * (R(y,z,u) \ w),v5) = L(x,((z * u) \ ((z * y) * u)) \ w,v5). L(x,((y * z) \ ((y * u) * z)) \ w,v5) = L(x,K(u,y) * (R(u,y,z) \ w),v5). (T(x,y) * T(z,x)) * L(u,x,z) = T(z,x) * (T(T(x,z),y) * u). (K(x,y) * (z * x)) * L(u,x,z) = T(z,x) * (T(T(x,z),y) * u). K(x,y) * ((z * x) * L(u,x,z)) = T(z,x) * (T(T(x,z),y) * u). K(x,y) * (z * (x * u)) = T(z,x) * (T(T(x,z),y) * u). T(x,y) * (T(T(y,x),z) * u) = K(y,z) * (x * (y * u)). (K(x,y) * a(z,u,w)) * K(y,x) = a(z,u,w * K(y,x)). T(a(x,y,z),K(u,w)) = a(x,y,z * K(w,u)). a(x,y,z * K(u,w)) = T(a(x,y,z),K(w,u)). x != T(a(y,z,u),w) | a(y,z,u) = x. a(x,y,z) = a(x,y,z * K(u,w)). a(x,y,z * K(u,w)) = a(x,y,z). a(x,y,z * K(u,w)) != v5 | a(x,y,z) = v5. a(x,y,z * u) = a(x,y,u * z). a(x,y,z * T(u,w)) = a(x,y,z * u). a(x,y,T(z,u)) = a(x,y,z). a(x,y,z / u) = a(x,y,u \ z). a(x,y,z * u) = a(x,y,T(z,w) * u). a(x,y,T(z,u) * w) = a(x,y,z * w). a(x,y,z * (u * T(w,v5))) = a(x,y,z * (u * w)). a(x,y,z) = a(x,y,K(u,w) * z). a(x,y,K(z,u) * w) = a(x,y,w). a(x,y,T(z,u) \ w) = a(x,y,z \ w). a(x,y,(z / u) * w) = a(x,y,(u \ z) * w). a(x,y,L(z * K(u,w),v5,v6)) = a(x,y,L(z,v5,v6)). a(x,y,T(z \ u,u \ (u \ 1))) != w | a(x,y * (u * u),L(z \ (u \ 1),u * u,y)) = w. a(x,y * (z * z),L(u \ (z \ 1),z * z,y)) = a(x,y,u \ z). a(x,y,T(T(z,y),u)) != w | (x * (T(z,u) * y)) \ ((x * y) * T(T(z,y),u)) = w. (x * (T(y,z) * u)) \ ((x * u) * T(T(y,u),z)) = a(x,u,T(y,u)). a(x,y,L(T(z,u),w,v5)) = a(x,y,L(z,w,v5)). a(x,y,z) * ((z * y) * x) = (y * T(z,y)) * R(x,y,T(z,y)). a(x,y,z) != u | a(x,y,T(z,w)) = u. a(x,y,T(z / u,w)) = a(x,y,u \ z). a(x,y,K(y,z) * u) != w | a(x,T(y,z),u) = w. a(x,T(y,z),u) = a(x,y,u). a(x,y,z \ (K(u,w) * v5)) = a(x,y,z \ v5). x != a(y,z,u) | a(y,z,T(u,w)) = x. a(x,y,T(z,u)) = a(x,T(y,w),z). a(x,T(y,z),u) = a(x,y,T(u,w)). a(x,L(T(y,z),u,w),v5) = a(x,L(y,u,w),v5). a(x,y,z) = a(x,u / (u / y),z). a(x,y / (y / z),u) = a(x,z,u). a(x,y,z * (((u * u) \ w) * u)) = a(x,y,z * (w * (u \ 1))). a(x,y,z * (((u * u) \ w) * v5)) = a(x,y,z * (w * (v5 / (u * u)))). a(x,y,((1 / z) \ (u * z)) * w) = a(x,y,(u * (z * z)) * w). a(x,y,R(z,u,w)) = a(x,y,(u * w) \ ((u * z) * w)). a(x,y,(z * u) \ ((z * w) * u)) = a(x,y,R(w,z,u)). a(x,y,z * u) != w | a(x,y,u * z) = w. a(x,y,T(z,u)) != w | a(x,y,z) = w. a(x,y,K(z,u) * w) != v5 | a(x,y,w) = v5. a(x,y,z * (u * (z \ 1))) != w | a(x,y,L(u,z,z)) = w. a(x,T(y,z),u) != w | a(x,y,u) = w. a(x,(y \ z) \ z,u) != w | a(x,y,u) = w. a(x,y,(z \ 1) * u) != w | a(x,y,u * z) = w. a(x,y,(z * u) \ w) != v5 | a(x,y,(u * z) \ w) = v5. a(x,y,(1 / z) * u) != w | a(x,y,L(u \ z,u,z)) = w. a(x,y,L(z \ u,z,u)) = a(x,y,(u \ 1) * z). a(x,y,((z * T(u,w)) / v5) * v6) = a(x,y,((v5 * K(w,u)) \ (z * u)) * v6). a(x,y,((z * K(u,w)) \ (v5 * w)) * v6) = a(x,y,((v5 * T(w,u)) / z) * v6). a(x,y,z \ (z \ L(z,u,w))) = a(x,y,L(z,u,w)). a(x,y,(T(z,u) * w) \ v5) = a(x,y,(z * w) \ v5). a(x,(1 / y) * (z * y),u) = a(x,L(z,y,y),u). a(x,y,z * (u \ 1)) != w | a(x,y,z * u) = w. a(x,y,z * u) = a(x,y,L(z \ u,z,u)). a(x,y,L(z \ u,z,u)) = a(x,y,z * u). a(x,y,L(z \ u,z,u)) != w | a(x,y,z * u) = w. a(x,(1 / y) * z,u) != w | a(x,y * z,u) = w. a(x,y * (z * y),u) = a(x,L(z,y,y),u). a(x,y,z * (u * (w \ v5))) = a(x,y,z * (u * (v5 / w))). a(x,y,z * (u * (w / v5))) = a(x,y,z * (u * (v5 \ w))). a(x,y,L(z \ T(u,w),v5,v6)) = a(x,y,L(z \ u,v5,v6)). a(x,y,(z * u) \ ((u * w) * z)) = a(x,y,L(w,u,z)). a(x,y,L(z \ 1,u,w)) = a(x,y,L(z,u,w)). a(x,y,L(R(z,u,w) \ z,v5,v6)) = a(x,y,L(z \ R(z,u,w),v5,v6)). a(x,y,(z * u) \ ((u * w) * z)) = a(x,y,R(w,u,z)). a(x,y,(z * u) \ ((u * w) * z)) != v5 | a(x,y,L(w,u,z)) = v5. a(x,y,L(z,u,w)) = a(x,y,R(z,u,w)). a(x,y,R(z,u,w)) = a(x,y,L(z,u,w)). a(x,y,(z \ u) / T(u,w)) = a(x,y,L(z \ K(w,u),z,u)). a(x,y,L(z \ K(u,w),z,w)) = a(x,y,(z \ w) / T(w,u)). x != a(y,z,u / w) | a(y,z,w \ u) = x. a(x,y,T(z,u) \ (w \ z)) = a(x,y,L(w \ K(u,z),w,z)). a(x,y,L(z \ K(u,w),z,w)) = a(x,y,T(w,u) \ (z \ w)). x != a(y,z,T(u,w) \ v5) | a(y,z,u \ v5) = x. a(x,y,z \ (u \ z)) = a(x,y,L(u \ K(w,z),u,z)). a(x,y,L(z \ K(u,w),z,w)) = a(x,y,w \ (z \ w)). a(x,y,(T(z,u) * w) \ z) = a(x,y,z \ (w \ z)). a(x,y,(T(z,u) * w) \ v5) != v6 | a(x,y,(z * w) \ v5) = v6. a(x,y,(z * u) \ z) = a(x,y,z \ (u \ z)). a(x,y,(z * u) \ u) = a(x,y,u \ (z \ u)). (x * y) * R(z,y,T(x,y)) = a(z,y,x) * ((x * y) * z). a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,T(z,y)). a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). L(x,((y * z) * u) * ((y * z) * R(u,z,y)),w) = L(x,L(a(u,z,y),(y * z) * u,(y * z) * u),w). L(x,L(a(y,z,u),(u * z) * y,(u * z) * y),w) = L(x,((u * z) * y) * ((u * z) * R(y,z,u)),w). a(x,y,((1 / z) \ (u * z)) * w) = a(x,y,u * ((z * z) * w)). a(x,y,((1 / z) \ u) * w) != v5 | a(x,y,(z \ u) * w) = v5. a(x,y,(z \ (u * z)) * w) = a(x,y,u * ((z * z) * w)). a(x,y,T(z,u) * w) = a(x,y,z * ((u * u) * w)). a(x,y,z * ((u * u) * w)) = a(x,y,T(z,u) * w). x != a(y,z,T(u,w) * v5) | a(y,z,u * v5) = x. a(x,y,z * u) = a(x,y,z * ((w * w) * u)). a(x,y,z * ((u * u) * w)) = a(x,y,z * w). a(x,y,z * (u * w)) = a(x,y,z * (((v5 * v5) \ u) * w)). a(x,y,z * (((u * u) \ w) * v5)) = a(x,y,z * (w * v5)). a(x,y,L(z,u,w) * v5) = a(x,y,L(z \ 1,u,w) * v5). a(x,y,L(z \ 1,u,w) * v5) = a(x,y,L(z,u,w) * v5). a(x,y,z * (((u * u) \ w) * u)) != v5 | a(x,y,z * (w * (u \ 1))) = v5. a(x,y,z * (u * (w \ 1))) = a(x,y,z * (u * w)). a(x,y,L(z,u,u)) = a(x,y,u * (z * u)). a(x,y,z * (u * z)) = a(x,y,L(u,z,z)). a(x,y,z * L(u \ 1,w,v5)) = a(x,y,L(u,w,v5) * z). a(x,y * (z * z),u \ (z \ 1)) = a(x,y,u \ z). a(x,y,z \ (u \ 1)) = a(x,y,z \ u). a(x,y,(z * (u \ (w * w))) \ 1) = a(x,y,(w * w) \ (z * (u \ 1))). x != a(y,z,T(u,w)) | a(y,z,u) = x. a(x,y,z) = (x * (T(z,u) * y)) \ ((x * y) * T(T(z,y),u)). (x * (T(y,z) * u)) \ ((x * u) * T(T(y,u),z)) = a(x,u,y). (x * (T(y,x * z) * z)) \ (T(y,z) * (x * z)) = a(x,z,y). a(x,y,z) = (x * (T(z,x * y) * y)) \ (T(z,y) * (x * y)). x != a(y,z,u * (w * (v5 / v6))) | a(y,z,u * (w * (v6 \ v5))) = x. a(x,y,z * (u * ((w * w) \ v5))) = a(x,y,z * (((w * w) \ u) * v5)). a(x,y,z * (((u * u) \ w) * v5)) = a(x,y,z * (w * ((u * u) \ v5))). a(x,y,z * (u \ (w * w))) = a(x,y,(w * w) \ (z * (u \ 1))). a(x,y,(z * z) \ (u * (w \ 1))) = a(x,y,u * (w \ (z * z))). a(x,y,((z * z) \ u) * (w \ 1)) = a(x,y,u * (w \ (z * z))). a(x,y,((z * z) \ u) * w) = a(x,y,u * (w \ (z * z))). a(x,y,z * u) = a(x,y,z * (u \ (w * w))). a(x,y,z * (u \ (w * w))) = a(x,y,z * u). a(x,y,z * (((u * u) \ w) * v5)) != v6 | a(x,y,z * (w * v5)) = v6. a(x,y,z * (u * w)) = a(x,y,z * (u * ((v5 * v5) \ w))). a(x,y,z * (u * ((w * w) \ v5))) = a(x,y,z * (u * v5)). a(x,y,z * ((u \ 1) * w)) = a(x,y,z * (u * w)). x != a(y,z,u * w) | a(y,z,w * u) = x. a(x,y,(z * u) * w) = a(x,y,w * ((z \ 1) * u)). a(x,y,z * ((u \ 1) * w)) = a(x,y,(u * w) * z). a(x,y,((z \ 1) * u) * w) = a(x,y,(z * u) * w). x != a(y,z,(u / w) * v5) | a(y,z,(w \ u) * v5) = x. a(x,y,(z \ (u * T(w,v5))) * v6) = a(x,y,((z * K(v5,w)) \ (u * w)) * v6). a(x,y,((z * K(u,w)) \ (v5 * w)) * v6) = a(x,y,(z \ (v5 * T(w,u))) * v6). a(x,y,(K(z,u) * (w \ (v5 * z))) * v6) = a(x,y,(w \ (v5 * T(z,u))) * v6). a(x,y,K(z,u) * ((w \ (v5 * z)) * v6)) = a(x,y,(w \ (v5 * T(z,u))) * v6). a(x,y,(z \ (u * w)) * v5) = a(x,y,(z \ (u * T(w,v6))) * v5). a(x,y,(z \ (u * T(w,v5))) * v6) = a(x,y,(z \ (u * w)) * v6). L(a(x,y,z),x * (y * z),K(u,w)) = a(K(u,w) * x,y,z). a(x,y,z) = a(K(u,w) * x,y,z). a(K(x,y) * z,u,w) = a(z,u,w). a(K(x,y) * z,u,w) != v5 | a(z,u,w) = v5. a(T(x,y),z,u) = a(x,z,u). a(x / y,z,u) = a(y \ x,z,u). a(x * T(y,z),u,w) = a(x * y,u,w). a(x \ T(y,z),u,w) = a(x \ y,u,w). a(x * y,z,u) = a(y * x,z,u). a(x \ y,z,u) = a(T(x,w) \ y,z,u). a(T(x,y) \ z,u,w) = a(x \ z,u,w). a(T(x,y) * z,u,w) = a(x * z,u,w). a(x * K(y,z),u,w) = a(x,u,w). a((x / y) \ z,u,w) = a((y \ x) \ z,u,w). a((x / y) * z,u,w) = a((y \ x) * z,u,w). a(x * y,z,u) = a(x * (K(w,v5) * y),z,u). a(x * (K(y,z) * u),w,v5) = a(x * u,w,v5). a((T(x,y) * z) * u,w,v5) = a((x * z) * u,w,v5). a(x \ (K(y,z) * u),w,v5) = a(x \ u,w,v5). a((x \ y) * z,u,w) = a((T(x,v5) \ y) * z,u,w). a((T(x,y) \ z) * u,w,v5) = a((x \ z) * u,w,v5). a(((x * y) * z) * u,w,v5) = a(((y * x) * z) * u,w,v5). a((x \ (K(y,z) * u)) * w,v5,v6) = a((x \ u) * w,v5,v6). a(L(K(x,y) * z,u,w),v5,v6) = a(L(z,u,w),v5,v6). x != a(y,z,u) | a(y,(w * w) * z,u) = x. a(x,(y * y) * z,u) = a(T(x,w),z,u). a(T(x,y),z,u) = a(x,(w * w) * z,u). a(((x * x) \ y) / (x \ z),u,w) = a(((x \ 1) \ z) \ y,u,w). x != a((((y \ 1) \ z) * u) * w,v5,v6) | a(((y \ z) * u) * w,v5,v6) = x. a(((x \ y) * z) * u,w,v5) = a(u * (((x \ 1) \ y) * z),w,v5). a(x * (((y \ 1) \ z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). a(x * (y * z),u,w) = a(L(z,y,x) * (x * y),u,w). a(L(x,y,z) * (z * y),u,w) = a(z * (y * x),u,w). a((1 / x) \ y,z,u) = a(y * R(x,x,y),z,u). a(x * R(y,y,x),z,u) = a((1 / y) \ x,z,u). a(x * ((y \ 1) \ z),u,w) != v5 | a((y \ z) * x,u,w) = v5. a((x * x) * (L(y,z,u) * w),v5,v6) = a(w * L((x * x) * y,z,u),v5,v6). a(x * (y * z),u,w) = a(x * (z * y),u,w). a(x * (y * T(z,u)),w,v5) = a(x * (y * z),w,v5). a(R(x * K(y,z),u,w),v5,v6) = a(R(x,u,w),v5,v6). x != a(y * z,u,w) | a(z * y,u,w) = x. a(x * y,z,u) = a(y * T(x,w),z,u). a(x * T(y,z),u,w) = a(y * x,u,w). a(x * L((y \ z) \ z,u,w),v5,v6) = a(x * L(y,u,w),v5,v6). a((x * (y * z)) \ (K(y,z) * u),w,v5) = a((x * (z * y)) \ u,w,v5). a(T(x,y),z,u) != w | a(x,z,u) = w. a(x / y,z,u) != w | a(y \ x,z,u) = w. a(x,y,z) != u | a(T(x,w),y,z) = u. a(x * T(y,z),u,w) != v5 | a(x * y,u,w) = v5. a(x * y,z,u) != w | a(y * x,z,u) = w. a(x * K(y,z),u,w) != v5 | a(x,u,w) = v5. a(x * (K(y,z) * u),w,v5) != v6 | a(x * u,w,v5) = v6. a((x * y) \ z,u,w) != v5 | a((y * x) \ z,u,w) = v5. a(x \ (K(y,z) * u),w,v5) != v6 | a(x \ u,w,v5) = v6. a((T(x,y) \ z) * u,w,v5) != v6 | a((x \ z) * u,w,v5) = v6. a(((x / y) * z) * u,w,v5) != v6 | a(((y \ x) * z) * u,w,v5) = v6. a(x,(y * y) * z,u) != w | a(x,z,u) = w. a(R(x * K(y,x),y,z),u,w) != v5 | a((y * z) \ ((y * x) * z),u,w) = v5. a(x * (a(y,z,y) * u),w,v5) != v6 | a(u * x,w,v5) = v6. a(x * T(y,z),u,w) != v5 | a(y * x,u,w) = v5. a(x * (y * z),u,w) != v5 | a(x * (z * y),u,w) = v5. a(x \ (y / z),u,w) != v5 | a(x \ (z \ y),u,w) = v5. a(x \ L(T(y,z),u,w),v5,v6) != v7 | a(x \ L(y,u,w),v5,v6) = v7. a(x,(y \ 1) \ z,u) != w | a(x,y \ z,u) = w. a(R(x * K(y,x),y,z) * u,w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). a(x * ((y / z) \ u),w,v5) = a(x * ((z \ y) \ u),w,v5). a(x * ((y / z) * u),w,v5) = a(x * ((z \ y) * u),w,v5). a(x * L(y \ z,u,w),v5,v6) = a(x * L(T(y,v7) \ z,u,w),v5,v6). a(x * L(T(y,z) \ u,w,v5),v6,v7) = a(x * L(y \ u,w,v5),v6,v7). a(L(x \ K(y,z),u,w) * v5,v6,v7) = a(L(x \ 1,u,w) * v5,v6,v7). a(x \ (y \ T(z,u)),w,v5) = a(x \ (y \ z),w,v5). a(x \ (y \ (K(z,u) * w)),v5,v6) = a(x \ (y \ w),v5,v6). a(T(x * (y * z),u),w,v5) = a(x * (z * y),w,v5). a(x * y,z,u) = a(x * ((w * w) * y),z,u). a(x * ((y * y) * z),u,w) = a(x * z,u,w). a(x * ((y * y) * z),u,w) != v5 | a(x * z,u,w) = v5. a(x * (y * z),u,w) = a(x * (((v5 * v5) \ y) * z),u,w). a(x * (((y * y) \ z) * u),w,v5) = a(x * (z * u),w,v5). a(x * (y * L(y,z,u)),w,v5) = a(x * (y \ L(y,z,u)),w,v5). a(x * (y \ L(y,z,u)),w,v5) = a(x * (y * L(y,z,u)),w,v5). a(L(x,y,z) * u,w,v5) = a(L(x \ 1,y,z) * u,w,v5). a(L(x \ 1,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5). x != a((y / z) \ u,w,v5) | a((z \ y) \ u,w,v5) = x. a((x \ 1) \ y,z,u) = a(y * R(x,x,y),z,u). a(x * R(y,y,x),z,u) = a((y \ 1) \ x,z,u). a(x * R(y,y,x),z,u) != w | a(y \ x,z,u) = w. a(x * (T(y,z) * u),w,v5) = a((y * u) * x,w,v5). a(x * (T(y,z) * u),w,v5) = a(x * (u * y),w,v5). a(x \ (y \ (z \ u)),w,v5) = a(x \ (y \ (u / z)),w,v5). a(x \ (y \ (z / u)),w,v5) = a(x \ (y \ (u \ z)),w,v5). x != a((y \ L(y,z,u)) * w,v5,v6) | a((y * L(y,z,u)) * w,v5,v6) = x. a((x * L(x,y,z)) * (u * w),v5,v6) = a((x \ L(x,y,z)) * (T(w,v7) * u),v5,v6). a((x \ L(x,y,z)) * (T(u,w) * v5),v6,v7) = a((x * L(x,y,z)) * (v5 * u),v6,v7). a(x * (((y * z) * K(y,u)) * w),v5,v6) = a(x * (w * (T(y,u) * z)),v5,v6). a(L(x,T(y,T(z,u)),z) * T(y * z,K(z,u)),w,v5) = a(z * (T(y,T(z,u)) * x),w,v5). a(x * (y * (K(z,u) * w)),v5,v6) != v7 | a(x * (y * w),v5,v6) = v7. a((x \ T(y,z)) * u,w,v5) != v6 | a((x \ y) * u,w,v5) = v6. a(x \ (T(y,z) \ u),w,v5) != v6 | a(x \ (y \ u),w,v5) = v6. a((T(x,y) * z) \ u,w,v5) != v6 | a((x * z) \ u,w,v5) = v6. a(x * ((y * z) * u),w,v5) = a(((z * y) * u) * x,w,v5). a(((x * y) * z) * u,w,v5) = a(u * ((y * x) * z),w,v5). a(((x * y) * z) * u,w,v5) != v6 | a(u * ((y * x) * z),w,v5) = v6. a(x * (y \ (K(z,u) * w)),v5,v6) = a((y \ w) * x,v5,v6). a((T(x * y,K(y,z)) \ u) * w,v5,v6) = a(((x * T(y,z)) \ u) * w,v5,v6). a(x \ (y \ (z \ (K(u,w) * v5))),v6,v7) = a(x \ (y \ (z \ v5)),v6,v7). x != a(y * (z * u),w,v5) | a(y * (((v6 * v6) \ z) * u),w,v5) = x. a(x * (((y * y) \ (z * u)) * w),v5,v6) = a(((u * z) * w) * x,v5,v6). x != a(y * (z * u),w,v5) | a(y * (u * z),w,v5) = x. a(x * (y * (z * u)),w,v5) = a(((u * z) * y) * x,w,v5). a(((x * y) * z) * u,w,v5) = a(u * (z * (y * x)),w,v5). a((((x * x) \ (y * z)) * u) * w,v5,v6) = a(w * ((z * ((x * x) \ y)) * u),v5,v6). a(((x \ L(y,z,u)) * w) * v5,v6,v7) = a(v5 * ((L(x \ (x \ y),z,u) * x) * w),v6,v7). a(x * ((L(y \ (y \ z),u,w) * y) * v5),v6,v7) = a(((y \ L(z,u,w)) * v5) * x,v6,v7). a(((L(x \ 1,y,z) * u) * w) * v5,v6,v7) = a(v5 * ((((x * x) \ u) * L(x,y,z)) * w),v6,v7). a(x * ((((y * y) \ z) * L(y,u,w)) * v5),v6,v7) = a(((L(y \ 1,u,w) * z) * v5) * x,v6,v7). a(((x \ R(y,z,u)) * w) * v5,v6,v7) = a(v5 * ((R(x \ (x \ y),z,u) * x) * w),v6,v7). a(x * ((R(y \ (y \ z),u,w) * y) * v5),v6,v7) = a(((y \ R(z,u,w)) * v5) * x,v6,v7). a(((K(x,y) * (z \ L(x,u,w))) * v5) * v6,v7,v8) = a(v6 * ((z \ L(T(x,y),u,w)) * v5),v7,v8). a(x * ((T(y,z) * u) \ w),v5,v6) = a(((y * u) \ w) * x,v5,v6). a(x * ((y * z) * u),w,v5) = a(x * (u * (z * y)),w,v5). a(x * (y * (z * u)),w,v5) != v6 | a(x * ((u * z) * y),w,v5) = v6. a(x * ((y * z) * L(R(u,z,y),w,v5)),v6,v7) = a(x * ((L(u,w,v5) * z) * y),v6,v7). a(x * ((y / (z \ 1)) * u),w,v5) = a(x * (u * (L(z,z,y) * y)),w,v5). a(x * (y * (L(z,z,u) * u)),w,v5) = a(x * ((u / (z \ 1)) * y),w,v5). a((x * x) \ (y / (x \ z)),u,w) = a(((x \ 1) \ z) \ y,u,w). a(x * L(L(1 / (1 / y),z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). a(x * L(y \ L(y,z,u),w,v5),v6,v7) = a(x * (L(y,w,v5) * L(L(y,w,v5),z,u)),v6,v7). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(x * L(y \ L(y,w,v5),z,u),v6,v7). a(L(x,y,z) * (x \ u),w,v5) = a(u * (L(x,x,u) * L(L(x,x,u),y,z)),w,v5). a(x * (L(y,y,x) * L(L(y,y,x),z,u)),w,v5) = a(L(y,z,u) * (y \ x),w,v5). x != a((y \ z) * u,w,v5) | a((T(y,v6) \ z) * u,w,v5) = x. a((T(x * y,z) \ u) * w,v5,v6) = a(w * ((T(x,v7) * y) \ u),v5,v6). a((x * x) \ ((x \ y) \ z),u,w) = a(((x \ 1) \ y) \ z,u,w). a((x \ y) \ z,u,w) = a(((x \ 1) \ y) \ z,u,w). a(((x \ 1) \ y) \ z,u,w) = a((x \ y) \ z,u,w). a((x \ L(x,y,z)) \ u,w,v5) = a((x \ L(x \ 1,y,z)) \ u,w,v5). a((x \ L(x \ 1,y,z)) \ u,w,v5) = a((x \ L(x,y,z)) \ u,w,v5). a(x * ((y * T(z,u)) * w),v5,v6) != v7 | a(x * ((y * z) * w),v5,v6) = v7. a((x * (y * z)) \ u,w,v5) = a((x * (z * y)) \ u,w,v5). a((x * (y * z)) \ u,w,v5) = a((x * (z * ((v6 * v6) \ y))) \ u,w,v5). a((x * (y * ((z * z) \ u))) \ w,v5,v6) = a((x * (u * y)) \ w,v5,v6). a((x * (y * ((y * y) \ z))) \ u,w,v5) = a((x * (z * (y \ 1))) \ u,w,v5). a((x * (T(y,z) * u)) \ w,v5,v6) = a((x * ((y * u) * K(y,z))) \ w,v5,v6). a((x * ((y * z) * K(y,u))) \ w,v5,v6) = a((x * (T(y,u) * z)) \ w,v5,v6). a((x * y) \ (K(z,u) * w),v5,v6) = a((K(u,z) * (y * x)) \ w,v5,v6). a((K(x,y) * (z * u)) \ w,v5,v6) = a((u * z) \ (K(y,x) * w),v5,v6). a(x * L((y \ z) \ u,w,v5),v6,v7) = a(x * L((z / y) \ u,w,v5),v6,v7). a(x * L((y / z) \ u,w,v5),v6,v7) = a(x * L((z \ y) \ u,w,v5),v6,v7). a(L(x \ 1,y,z) * u,w,v5) != v6 | a(u * L(x \ K(v7,v8),y,z),w,v5) = v6. a(x \ (y \ (z \ (T(u,w) * v5))),v6,v7) = a(x \ (y \ (z \ (u * v5))),v6,v7). a(x * ((((y * y) \ z) * u) * w),v5,v6) = a(((u * z) * w) * x,v5,v6). a(x * ((T(y,z) * u) \ w),v5,v6) != v7 | a(((y * u) \ w) * x,v5,v6) = v7. a((x \ L(x \ 1,y,z)) \ u,w,v5) != v6 | a((x * L(x,y,z)) \ u,w,v5) = v6. x != a(y \ (K(z,u) * w),v5,v6) | a(y \ w,v5,v6) = x. a((x * y) \ z,u,w) = a((K(v5,v6) * (y * x)) \ z,u,w). a((K(x,y) * (z * u)) \ w,v5,v6) = a((u * z) \ w,v5,v6). a(((T(x,y) \ z) * u) \ w,v5,v6) = a((u * (x \ z)) \ w,v5,v6). x != a(y * ((z / u) * w),v5,v6) | a(y * ((u \ z) * w),v5,v6) = x. a(x * (((y \ 1) \ z) * u),w,v5) = a(x * (u * (L(y,y,z) * z)),w,v5). a(x * (y * (L(z,z,u) * u)),w,v5) = a(x * (((z \ 1) \ u) * y),w,v5). x != a(y * (((z \ 1) \ u) * w),v5,v6) | a(((z \ u) * w) * y,v5,v6) = x. a(((x \ y) * z) * u,w,v5) = a(u * (z * (L(x,x,y) * y)),w,v5). a(x * (y * (L(z,z,u) * u)),w,v5) = a(((z \ u) * y) * x,w,v5). a(x * ((L(y,y,z) * z) * u),w,v5) = a(((y \ z) * u) * x,w,v5). a(x * ((L(y,y,L(z,u,w)) * L(z \ 1,u,w)) * v5),v6,v7) = a(((y \ L(z \ 1,u,w)) * v5) * x,v6,v7). a(L(x,y,z) * u,w,v5) = a(u * L((v6 * v6) * x,y,z),w,v5). a(x * L((y * y) * z,u,w),v5,v6) = a(L(z,u,w) * x,v5,v6). a(x * L((y \ 1) \ z,u,w),v5,v6) = a(L(y \ z,u,w) * x,v5,v6). a(x * L(y * L(y,z,u),w,v5),v6,v7) = a(L(y \ L(y,z,u),w,v5) * x,v6,v7). a(L(x \ L(x,y,z),u,w) * v5,v6,v7) = a(v5 * L(x * L(x,y,z),u,w),v6,v7). a(R(x,y,z),u,w) != v5 | a((y * z) \ ((y * x) * z),u,w) = v5. a(x * ((y * z) * (K(y,u) * w)),v5,v6) = a(x * (w * (T(y,u) * z)),v5,v6). a(((x * T(y,z)) \ u) * w,v5,v6) != v7 | a(((x * y) \ u) * w,v5,v6) = v7. a((x * (y * ((z * z) \ u))) \ w,v5,v6) != v7 | a((x * (u * y)) \ w,v5,v6) = v7. a((x * (y * z)) \ u,w,v5) = a((x * (y * (z \ 1))) \ u,w,v5). a((x * (y * (z \ 1))) \ u,w,v5) = a((x * (y * z)) \ u,w,v5). a(K(x,y) * ((z * (y * u)) \ w),v5,v6) = a((z * (T(y,x) * u)) \ w,v5,v6). a(x \ (y \ (z \ (u * (w * v5)))),v6,v7) = a(x \ (y \ (z \ (u * (T(w,u) * v5)))),v6,v7). a(x \ (y \ (z \ (u * (T(w,u) * v5)))),v6,v7) = a(x \ (y \ (z \ (u * (w * v5)))),v6,v7). a(x \ (y \ (z \ (K(u,w) * (v5 * (u * v6))))),v7,v8) = a(x \ (y \ (z \ (v5 * (T(T(u,v5),w) * v6)))),v7,v8). a(x * (y * (T(z,u) * w)),v5,v6) != v7 | a(x * ((z * w) * y),v5,v6) = v7. a((x * (y * z)) \ u,w,v5) = a((x * (T(y,v6) * z)) \ u,w,v5). a((x * (T(y,z) * u)) \ w,v5,v6) = a((x * (y * u)) \ w,v5,v6). a((x * (T(y,z) * u)) \ w,v5,v6) != v7 | a((x * (y * u)) \ w,v5,v6) = v7. x != L(y,K(z,u) * w,v5) | L(y,w,v5) = x. L(x,R(y,z,u) \ w,v5) = L(x,((z * u) \ ((z * y) * u)) \ w,v5). L(x,((y * z) \ ((y * u) * z)) \ w,v5) = L(x,R(u,y,z) \ w,v5). L(x,((y * z) \ ((y * u) * z)) \ w,v5) != v6 | L(x,R(u,y,z) \ w,v5) = v6. L(x,((y * z) \ ((y * u) * z)) \ (L(R(u,y,z),w,v5) \ R(u,y,z)),v6) = L(x,L(R(u,y,z),w,v5) \ 1,v6). L(x,((y * ((y * z) / y)) \ ((T(y,z) * u) * z)) \ w,v5) = L(x,R(u,T(y,z),z) \ w,v5). a(R(x,y,z) * (K(y,x) * u),w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). a(x * L(y \ K(z,u),w,v5),v6,v7) = a(L(y,w,v5) * x,v6,v7). a(R(x,y,z) * u,w,v5) = a(((y * z) \ ((y * x) * z)) * u,w,v5). a(((x * y) \ ((x * z) * y)) * u,w,v5) = a(R(z,x,y) * u,w,v5). a(((x * T(y,T(x * z,u))) \ T(y * (x * z),K(x * z,u))) * w,v5,v6) = a(R(z,x,T(y,T(x * z,u))) * w,v5,v6). R(x,K(y,z) * u,w) = (((x * (K(y,z) * u)) * w) / (u * w)) * K(z,y). (((x * (K(y,z) * u)) * w) / (u * w)) * K(z,y) = R(x,K(y,z) * u,w). R(x * K(y,z),u,w) * K(z,y) = R(x,K(y,z) * u,w). R(x,y,z) * K(u,w) != v5 | R(x * K(u,w),y,z) = v5. R((x * K(y,z)) * K(z,y),u,w) = R(x,K(y,z) * u,w). R(x,y,z) = R(x,K(u,w) * y,z). R(x,K(y,z) * u,w) = R(x,u,w). R(x,T(y,z),u) = R(x,y,u). R(x,y / z,u) = R(x,z \ y,u). R(x,y * z,u) = R(x,z * y,u). R(x,y * K(z,u),w) = R(x,y,w). R(x,L(K(y,z) * u,w,v5),v6) = R(x,L(u,w,v5),v6). R(x,T(y,x),a(z,u,w)) != v5 | (a(z,u,w) * (y * x)) / (T(y,x) * a(z,u,w)) = v5. (a(x,y,z) * (u * w)) / (T(u,w) * a(x,y,z)) = R(w,u,a(x,y,z)). R(x,L(y \ z,u,w),v5) = R(x,L(z / y,u,w),v5). R(x,L(y / z,u,w),v5) = R(x,L(z \ y,u,w),v5). R(R(x,y,z),u,w) * (T(y,v5) * z) = (R(x,u,w) * T(y,v5)) * z. R(x,L((y / z) / u,w,v5),v6) = R(x,L((z \ y) / u,w,v5),v6). R(x,L(y / z,u,w),v5) != v6 | R(x,L(z \ y,u,w),v5) = v6. R(x,L(y \ (z / u),w,v5),v6) = R(x,L((u \ z) / y,w,v5),v6). R(x,L((y \ z) / u,w,v5),v6) = R(x,L(u \ (z / y),w,v5),v6). R(x,L(y \ (z \ u),w,v5),v6) = R(x,L(y \ (u / z),w,v5),v6). R(x,L(y \ (z / u),w,v5),v6) = R(x,L(y \ (u \ z),w,v5),v6). a(x * ((y * T(z,u)) * R(R(w,z,y),v5,v6)),v7,v8) = a(x * ((R(w,v5,v6) * T(z,u)) * y),v7,v8). R(x,y,a(z,u,w)) != (a(z,u,w) * (y * x)) / v5 | T(y,x) * a(z,u,w) = v5. (a(x,y,z) * (u * w)) / v5 != R(w,u,a(x,y,z)) | T(u,w) * a(x,y,z) = v5. L(x,L(y * L(y,z,u),w,v5),v6) = L(x,L(T(y,v7) * L(T(y,v7),z,u),w,v5),v6). L(x,L(T(y,z) * L(T(y,z),u,w),v5,v6),v7) = L(x,L(y * L(y,u,w),v5,v6),v7). T((x * L(x \ y,z,u)) / T(y,w),y) = (y \ x) * L((y \ x) \ K(w,y),z,u). x != L(y,z,u * w) | L(y,z,w * u) = x. L(x,y,L(L(z,u,w) \ z,v5,v6) * v7) = L(x,y,L(z \ L(z,u,w),v5,v6) * v7). a(x,y,z) * (u \ (a(x,y,z) \ 1)) = (u \ a(x,y,z)) * (a(x,y,z) \ 1). (x \ a(y,z,u)) * (a(y,z,u) \ 1) = a(y,z,u) * (x \ (a(y,z,u) \ 1)). x * L(y,x,x * L(x,z,u)) = L(x * y,x,x * L(x,z,u)). L(x * y,x,x * L(x,z,u)) = x * L(y,x,x * L(x,z,u)). K(x,y / ((z / T(u,w)) / w)) = K(x,R(y,w,T(u,w)) * ((u * w) / z)). K(x,R(y,z,T(u,z)) * ((u * z) / w)) = K(x,y / ((w / T(u,z)) / z)). L(x / y,z,u) \ K(y,y \ x) != w | L(y \ x,z,u) \ 1 = w. L(x,L((y * y) * (z / y),u,w) * v5,v6) = L(x,L((1 / y) \ z,u,w) * v5,v6). L(x,y * L(y,z,u),y) = L(x,y,y * L(y,z,u)). L(R(L(x,y,z) \ x,u,w),x * L(x,y,z),x) != v5 | R(L(x,y,z) \ (x * 1),u,w) = v5. R(L(x,y,z) \ (x * 1),u,w) = L(R(L(x,y,z) \ x,u,w),x,x * L(x,y,z)). L(R(L(x,y,z) \ x,u,w),x,x * L(x,y,z)) = R(L(x,y,z) \ (x * 1),u,w). a(x * (T(y,z) * u),w,v5) != v6 | a((y * u) * x,w,v5) = v6. a((x * y) * (z \ L(z,u,w)),v5,v6) = a((z * L(z,u,w)) * (y * x),v5,v6). a((x * L(x,y,z)) * (u * w),v5,v6) = a((w * u) * (x \ L(x,y,z)),v5,v6). a((x * L(x,y,z)) * (u * x),w,v5) = a(x * (u * (x \ L(x,y,z))),w,v5). a((((x * x) \ y) * z) * u,w,v5) != v6 | a((y * z) * u,w,v5) = v6. a(((x * y) * z) * u,w,v5) = a(u * ((y * ((v6 * v6) \ x)) * z),w,v5). a(x * ((y * ((z * z) \ u)) * w),v5,v6) = a(((u * y) * w) * x,v5,v6). a(x * ((y * z) * u),w,v5) = a(x * ((z * ((v6 * v6) \ y)) * u),w,v5). a(x * ((y * ((z * z) \ u)) * w),v5,v6) = a(x * ((u * y) * w),v5,v6). a(x * (y * z),u,w) = a(x * ((y * (v5 * v5)) * z),u,w). a(x * ((y * (z * z)) * u),w,v5) = a(x * (y * u),w,v5). a(x * (y * ((z * z) * u)),w,v5) = a(x * (y * u),w,v5). a(x * (y * (z * L(z,u,w))),v5,v6) = a(x * (y * (z \ L(z,u,w))),v5,v6). a(x * (y * (z \ L(z,u,w))),v5,v6) = a(x * (y * (z * L(z,u,w))),v5,v6). a(x * (L(y,z,u) * w),v5,v6) = a(x * (L(y \ 1,z,u) * w),v5,v6). a(x * (L(y \ 1,z,u) * w),v5,v6) = a(x * (L(y,z,u) * w),v5,v6). a(x * (y * L(z \ 1,u,w)),v5,v6) = a(x * (L(z,u,w) * y),v5,v6). a(x * (y * L(z,u,w)),v5,v6) = a(x * (L(1 / z,u,w) * y),v5,v6). a(x * (L(1 / y,z,u) * w),v5,v6) = a(x * (w * L(y,z,u)),v5,v6). a(x * (y * (z * (z * (L(z,u,w) \ 1)))),v5,v6) = a(x * (L(L(z \ 1,u,w),z,z) * y),v5,v6). a(x * (y * (x \ L(x,z,u))),w,v5) != v6 | a((x * L(x,z,u)) * (y * x),w,v5) = v6. a((x * L(x,y,z)) * (u * x),w,v5) = a(x * (u * (x * L(x,y,z))),w,v5). x != a(K(y,z) * u,w,v5) | a(u,w,v5) = x. a(L(L(x,y,z),u,w),v5,v6) = a(K(v7,v8) * L(L(1 / (1 / x),y,z),u,w),v5,v6). a(K(x,y) * L(L(1 / (1 / z),u,w),v5,v6),v7,v8) = a(L(L(z,u,w),v5,v6),v7,v8). a(x * L(y \ L(y,z,u),w,v5),v6,v7) = a(x * L(y * L(y,z,u),w,v5),v6,v7). a(L(x \ L(x,y,z),u,w) * v5,v6,v7) != v8 | a(L(x * L(x,y,z),u,w) * v5,v6,v7) = v8. L(x,L(T(y,z) * L(T(y,z),u,w),y,z),v5) != v6 | L(x,(y * z) \ (L(y,u,w) * z),v5) = v6. L(x,(y * z) \ (L(y,u,w) * z),v5) = L(x,L(y * L(y,u,w),y,z),v5). L(x,L(y * L(y,z,u),y,w),v5) = L(x,(y * w) \ (L(y,z,u) * w),v5). x != (y \ 1) * L((y \ 1) \ K(z,y),u,w) | y \ L((z * y) / z,u,w) = x. x \ L((y * x) / y,z,u) = T((1 * L(1 \ x,z,u)) / T(x,y),x). T((1 * L(1 \ x,y,z)) / T(x,u),x) = x \ L((u * x) / u,y,z). T((1 * L(x,y,z)) / T(x,u),x) = x \ L((u * x) / u,y,z). T(L(x,y,z) / T(x,u),x) = x \ L((u * x) / u,y,z). L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,L(z \ L(z,u,w),v5,v6) * L((L(z,u,w) \ z) \ L(L(z,u,w) \ z,v7,v8),v5,v6)). L(x,y,L(z \ L(z,u,w),v5,v6) * L((L(z,u,w) \ z) \ L(L(z,u,w) \ z,v7,v8),v5,v6)) = L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)). L(x,(y * y) * (L(z / y,u,w) * v5),v6) = L(x,L((1 / y) \ z,u,w) * v5,v6). L(R(L(x,y,z) \ x,u,w),x,x * L(x,y,z)) = R(L(x,y,z) \ x,u,w). a(L(K(x,y) * L(1 / (1 / z),u,w),v5,v6),v7,v8) = a(L(L(z,u,w),v5,v6),v7,v8). a(x * (((y * z) * u) \ (y * (z * u))),w,v5) = a(x * L(u * L(u,z,y),u,y * z),w,v5). a(x * L(y * L(y,z,u),y,u * z),w,v5) = a(x * (((u * z) * y) \ (u * (z * y))),w,v5). L(x,L(y / z,u,w) * v5,v6) = L(x,L((1 / z) \ y,u,w) * v5,v6). L(x,L((1 / y) \ z,u,w) * v5,v6) = L(x,L(z / y,u,w) * v5,v6). x != L(y,L(z / u,w,v5) * v6,v7) | L(y,L(u \ z,w,v5) * v6,v7) = x. L(x,L(y \ z,u,w) * v5,v6) = L(x,L((1 / y) \ z,u,w) * v5,v6). L(x,L((1 / y) \ z,u,w) * v5,v6) = L(x,L(y \ z,u,w) * v5,v6). a(L(L(K(x,y) * (1 / (1 / z)),u,w),v5,v6),v7,v8) = a(L(L(z,u,w),v5,v6),v7,v8). a(L(L(K(x,y) / (1 / z),u,w),v5,v6),v7,v8) = a(L(L(z,u,w),v5,v6),v7,v8). a(L(L(x,y,z),u,w),v5,v6) = a(L(L((x \ K(v7,v8)) \ 1,y,z),u,w),v5,v6). a(L(L((x \ K(y,z)) \ 1,u,w),v5,v6),v7,v8) = a(L(L(x,u,w),v5,v6),v7,v8). a(L(L(x \ 1,y,z),u,w),v5,v6) != v7 | a(L(L(x,y,z),u,w),v5,v6) = v7. a(L(L(x \ K(y,z),u,w),v5,v6),v7,v8) = a(L(L(x,u,w),v5,v6),v7,v8). L(L((a(x,y,z) \ 1) \ u,w,v5),a(x,y,z),a(x,y,z)) != L(v6,w,v5) | u * a(x,y,z) = v6. L(R(K(x,x \ 1) * y,z,u),x,x) = x * (K(1 / x,y) * (R(y,z,u) * (1 / x))). L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,L(L(z \ 1,v5,v6),u,w)). L(x,y,L(L(z \ 1,u,w),v5,v6)) = L(x,y,L(L(z,v5,v6),u,w)). L(R(K(x,x \ 1) * y,z,u),x,x) != w | R(x * ((1 / x) * y),z,u) = w. R(x * ((1 / x) * y),z,u) = x * (K(1 / x,y) * (R(y,z,u) * (1 / x))). x * (K(1 / x,y) * (R(y,z,u) * (1 / x))) = R(x * ((1 / x) * y),z,u). x * ((1 / x) * R(y,z,u)) = R(x * ((1 / x) * y),z,u). R(x * ((1 / x) * y),z,u) = x * ((1 / x) * R(y,z,u)). L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5) = L(x,R(y * ((1 / y) * (y \ z)),u,w),v5). (x * a(y,z,u)) \ L(x,a(y,z,u),a(y,z,u)) = T(a(y,z,u) \ 1,a(y,z,u) * x). ((x * y) * (K(z,u) * w)) / (y * (K(z,u) * w)) = R(R(x,y,K(z,u)),y * K(z,u),w). x != a(y,z,u \ L(u,w,v5)) | a(y,z,u * L(u,w,v5)) = x. a(x,y,z * L(z,u,w)) = (x * (y * (z \ L(z,u,w)))) \ ((z \ L(z,u,w)) * (x * y)). (x * (y * (z \ L(z,u,w)))) \ ((z \ L(z,u,w)) * (x * y)) = a(x,y,z * L(z,u,w)). R(x,y \ L(y,z,u),y) * L(T(y,w),z,u) = (x * (y \ L(y,z,u))) * T(y,w). R(x,y * L(y,z,u),y) * L(T(y,w),z,u) = (x * (y \ L(y,z,u))) * T(y,w). ((x * (y \ L(y,z,u))) * T(y,w)) / L(T(y,w),z,u) = R(x,y * L(y,z,u),y). (x * y) / L(y,z,u) != w | y * (L(y,z,u) \ x) = w. T(x,y) * (L(T(x,y),z,u) \ (w * (x \ L(x,z,u)))) = R(w,x * L(x,z,u),x). x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) = R(u,x * L(x,y,z),x). x * (L(x,y,z) \ (u * (x \ L(x,y,z)))) != w | L(u,x,x * L(x,y,z)) = w. L(x,y,y * L(y,z,u)) = R(x,y * L(y,z,u),y). R(x,y * L(y,z,u),y) = L(x,y,y * L(y,z,u)). L(x,y,y * L(y,z,u)) * L(T(y,w),z,u) = (x * (y \ L(y,z,u))) * T(y,w). L(T(x,y),z,u) * L(w,T(x,y),x * L(x,z,u)) = (x \ L(x,z,u)) * (T(x,y) * w). (T(x,y) \ z) * L(x \ z,u,w) = L(T(x,y) \ z,u,w) * (x \ z). L(T(x,y) \ z,u,w) * (x \ z) = (T(x,y) \ z) * L(x \ z,u,w). (x * (y * (x \ L(x,z,u)))) \ (L(x,z,u) * y) = a(x \ L(x,z,u),x,y). (x * (y * (x \ L(x,z,u)))) \ (L(x,z,u) * y) != w | a(x,x * L(x,z,u),y) = w. 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),x,u) = a(x,x * L(x,y,z),u). a(((x \ y) * L(x \ y,z,u)) \ w,v5,v6) = a(((y / x) * L(y / x,z,u)) \ w,v5,v6). a(((x / y) * L(x / y,z,u)) \ w,v5,v6) = a(((y \ x) * L(y \ x,z,u)) \ w,v5,v6). x * L(x \ 1,y,z) = K(u,w) * (x * L(x \ K(w,u),y,z)). K(x,y) * (z * L(z \ K(y,x),u,w)) = z * L(z \ 1,u,w). x \ L(x,y,z) = K(u,w) * (x * L(x \ K(w,u),y,z)). K(x,y) * (z * L(z \ K(y,x),u,w)) = z \ L(z,u,w). K(x,y) * z != x \ u | T(x,y) \ u = z. T(x,y) \ L(x,z,u) = x * L(x \ K(y,x),z,u). x * L(x \ K(y,x),z,u) = T(x,y) \ L(x,z,u). x * L(x \ K(y,x),z,u) != w | x \ L((y * x) / y,z,u) = w. x \ L((y * x) / y,z,u) = T(x,y) \ L(x,z,u). x \ L((y * x) / y,z,u) != w | T(L(x,z,u) / T(x,y),x) = w. T(L(x,y,z) / T(x,u),x) = T(x,u) \ L(x,y,z). L(T(x,y) \ L(x,z,u),w,v5) \ v6 = K(x,y) * (L(x \ L(x,z,u),w,v5) \ v6). K(x,y) * (L(x \ L(x,z,u),w,v5) \ v6) = L(T(x,y) \ L(x,z,u),w,v5) \ v6. L(x,y,(K(z,u) * (w / (v5 * T(z,u)))) * v6) = L(x,y,(T(v5 * z,K(z,u)) \ w) * v6). L(x,y,((z * u) \ ((z * w) * u)) * v5) = L(x,y,R(w,z,u) * v5). L(x,y,(z \ (u * T(w,v5))) * v6) != v7 | L(x,y,(z \ (u * w)) * v6) = v7. L(x,y,((z * T(u,w)) \ ((z * v5) * u)) * v6) = L(x,y,R(v5,z,T(u,w)) * v6). L(x,y,((z * u) \ ((z * w) * u)) * v5) = L(x,y,R(w,z,T(u,v6)) * v5). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,((u * w) \ ((u * z) * w)) * v6). x != L(y,z,((u * w) \ ((u * v5) * w)) * v6) | L(y,z,R(v5,u,w) * v6) = x. L(x,y,R(z,u,w) * v5) = L(x,y,R(z,u,T(w,v6)) * v5). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,R(z,u,w) * v6). L(x,y,(z \ (u * w)) * v5) != v6 | L(x,y,(z \ (u * T(w,v7))) * v5) = v6. L(x,y,((z * T(u,w)) \ ((z * v5) * T(u,v6))) * v7) = L(x,y,R(v5,z,T(u,w)) * v7). L(x,y,((z * T(u,w)) \ (u * (z * v5))) * v6) = L(x,y,R(v5,z,T(u,w)) * v6). (x \ 1) * (L(x \ 1,y,z) \ x) = L(K(u,w) / x,y,z) \ K(u,w). L(K(x,y) / z,u,w) \ K(x,y) = (z \ 1) * (L(z \ 1,u,w) \ z). x != (y \ z) * (L(y \ z,u,w) \ y) | L(z / y,u,w) \ z = x. L(1 / x,y,z) \ 1 = L(K(u,w) / x,y,z) \ K(u,w). L(K(x,y) / z,u,w) \ K(x,y) = L(1 / z,u,w) \ 1. (1 / L(1 / x,y,z)) * (L(1 / L(1 / x,y,z),u,w) \ v5) = (L(K(v6,v7) / x,y,z) \ K(v6,v7)) * (L(L(1 / x,y,z) \ 1,u,w) \ v5). (L(K(x,y) / z,u,w) \ K(x,y)) * (L(L(1 / z,u,w) \ 1,v5,v6) \ v7) = (1 / L(1 / z,u,w)) * (L(1 / L(1 / z,u,w),v5,v6) \ v7). (x \ y) * (y \ (x * T(z,u))) = T((x \ y) * (y \ (x * z)),u). T((x \ y) * (y \ (x * z)),u) = (x \ y) * (y \ (x * T(z,u))). T((x \ y) * (y \ (x * (x \ (y * z)))),u) = (x \ y) * ((y \ x) * T((y \ x) \ z,u)). a(x \ (y \ (z \ (u * (T(T(w,u),v5) * v6)))),v7,v8) = a(x \ (y \ (z \ (u * (T(w,v5) * v6)))),v7,v8). x \ y != T(a(z,u,w) \ 1,v5) | x * (a(z,u,w) \ 1) = y. (x * a(y,z,u)) * (a(y,z,u) \ 1) = L(x,a(y,z,u),a(y,z,u)). ((x * y) * (K(z,u) * w)) / (y * (K(z,u) * w)) = R(x,y * K(z,u),w). R(x,y * K(z,u),w) != v5 | R(x,y,K(z,u) * w) = v5. R(x,y,K(z,u) * w) = R(x,y,w). R(x,y,z * u) = R(x,y,u * z). (x * (T(y,x) * (z \ L(z,u,w)))) \ ((z \ L(z,u,w)) * (y * x)) = a(x,T(y,x),z * L(z,u,w)). (x * (K(y,z) * L(y,u,w))) \ ((y \ L(y,u,w)) * (x * T(y,z))) = a(x,T(y,z),y * L(y,u,w)). L(T(x,y),z,u) * L(w,x,x * L(x,z,u)) = (x \ L(x,z,u)) * (T(x,y) * w). L(x,y,K(z,u) * ((w / (v5 * T(z,u))) * v6)) = L(x,y,(T(v5 * z,K(z,u)) \ w) * v6). T((x \ y) * z,u) = (x \ y) * ((y \ x) * T((y \ x) \ z,u)). (x \ y) * ((y \ x) * T((y \ x) \ z,u)) = T((x \ y) * z,u). (x \ y) \ T((x \ y) * z,u) = (y \ x) * T((y \ x) \ z,u). x * y != (z \ u) \ T((z \ u) * w,v5) | x \ ((u \ z) * T((u \ z) \ w,v5)) = y. x \ ((y \ z) * T((y \ z) \ x,u)) = K(((z \ y) \ 1) \ x,u). K(((x \ y) \ 1) \ z,u) != w | K((y \ x) \ z,u) = w. K((x \ y) \ z,u) = K((y \ x) * z,u). L(x,y,(z / (u * T(w,v5))) * v6) = L(x,y,(T(u * w,K(w,v5)) \ z) * v6). L(x,y,(T(z * u,K(u,w)) \ v5) * v6) = L(x,y,(v5 / (z * T(u,w))) * v6). x != L(y,z,(u / w) * v5) | L(y,z,(w \ u) * v5) = x. L(x,y,((z * T(u,w)) \ v5) * v6) = L(x,y,(T(z * u,K(u,w)) \ v5) * v6). L(x,y,(T(z * u,K(u,w)) \ v5) * v6) = L(x,y,((z * T(u,w)) \ v5) * v6). L(x,y,((z * T(u,w)) \ v5) * v6) != v7 | L(x,y,((z * u) \ v5) * v6) = v7. L(x,y,((z * u) \ (u * (z * w))) * v5) = L(x,y,R(w,z,T(u,v6)) * v5). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,((u * w) \ (w * (u * z))) * v6). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,L(K(w,u) * z,u,w) * v6). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,K(w,u) * (L(z,u,w) * v6)). x != L(y,z,K(u,w) * v5) | L(y,z,v5) = x. L(x,y,L(z,u,w) * v5) = L(x,y,R(z,u,T(w,v6)) * v5). L(x,y,R(z,u,T(w,v5)) * v6) = L(x,y,L(z,u,w) * v6). L(x,y,R(z,u,T(w,v5)) * v6) != v7 | L(x,y,R(z,u,w) * v6) = v7. L(x,y,R(z,u,w) * v5) = L(x,y,L(z,u,w) * v5). L(x,y,z * R(u,w,v5)) = L(x,y,L(u,w,v5) * z). L(x,y,L(z,u,w) * v5) = L(x,y,v5 * R(z,u,w)). L(x,y,R(z,u,w)) = L(x,y,L(z,u,w) * (v5 * v5)). L(x,y,L(z,u,w) * (v5 * v5)) = L(x,y,R(z,u,w)). L(x,y,R(L(z,u,w),v5,v6) * v7) = L(x,y,L(L(z,v5,v6),u,w) * v7). L(x,y,z * L(u,w,v5)) = L(x,y,z * R(u,w,v5)). L(x,y,z * R(u,w,v5)) = L(x,y,z * L(u,w,v5)). L(x,y,L(z,u,w)) = L(x,y,R(z,u,w)). L(x,y,R(z,u,w)) = L(x,y,L(z,u,w)). L(x,y,z \ R(u,w,v5)) = L(x,y,z * L(z \ (z \ u),w,v5)). L(x,y,z * L(z \ (z \ u),w,v5)) = L(x,y,z \ R(u,w,v5)). L(x,y,z \ L(u,w,v5)) = L(x,y,z \ R(u,w,v5)). L(x,y,z \ R(u,w,v5)) = L(x,y,z \ L(u,w,v5)). L(x,y,L(R(z,u,w),v5,v6) * v7) = L(x,y,L(L(z,u,w),v5,v6) * v7). L(x,y,z * (u * R(w,v5,v6))) = L(x,y,L(L(w,v5,v6),u,z) * (z * u)). L(x,y,L(L(z,u,w),v5,v6) * (v6 * v5)) = L(x,y,v6 * (v5 * R(z,u,w))). L(x,y,z * (u * L(w,v5,v6))) = L(x,y,z * (u * R(w,v5,v6))). L(x,y,z * (u * R(w,v5,v6))) = L(x,y,z * (u * L(w,v5,v6))). L(x,y,z * (u * R(w,v5,v6))) != v7 | L(x,y,z * (u * L(w,v5,v6))) = v7. L(x,y,z * (u \ R(w,v5,v6))) = L(x,y,z * (u * L(u \ (u \ w),v5,v6))). L(x,y,z * (u * L(u \ (u \ w),v5,v6))) = L(x,y,z * (u \ R(w,v5,v6))). L(x,y,z * (u \ L(w,v5,v6))) = L(x,y,z * (u \ R(w,v5,v6))). L(x,y,z * (u \ R(w,v5,v6))) = L(x,y,z * (u \ L(w,v5,v6))). T(x,L(T(y,T(z,u)),w,v5) \ (z \ v6)) = T(x,(L(y,w,v5) * z) \ v6). T(x,L(T(y,T(z,u)),w,v5) \ (z \ v6)) != v7 | T(x,z \ (L(y,w,v5) \ v6)) = v7. L((x \ R(x,y,z)) \ u,x * R(x,y,z),x * R(x,y,z)) = ((x \ R(x,y,z)) \ 1) * u. L(x,L(y \ 1,z,u) \ w,v5) = L(x,((u * z) \ ((z * y) * u)) \ w,v5). L(x,((y * z) \ ((z * u) * y)) \ w,v5) = L(x,L(u \ 1,z,y) \ w,v5). L(x,((y * z) \ ((z * u) * y)) \ w,v5) != v6 | L(x,L(u,z,y) \ w,v5) = v6. (x \ L(x \ L(x,y,z),u,w)) * K(x,x \ 1) = L(x \ L(x,y,z),u,w) / x. T(x,x \ 1) \ L(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w) / x. ((x \ 1) \ 1) \ L(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w) / x. ((x \ 1) \ 1) \ L(x \ L(x,y,z),u,w) != v5 | (1 / x) * L(x \ L(x,y,z),u,w) = v5. (1 / x) * L(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w) / x. a(L(x,y,z) * T(y * z,K(z,u)),w,v5) = a(z * (T(y,T(z,u)) * x),w,v5). a(L(x,y,z) * (y * z),u,w) = a(z * (T(y,T(z,v5)) * x),u,w). x != a(y * (T(z,u) * w),v5,v6) | a((z * w) * y,v5,v6) = x. a((x * y) * z,u,w) = a(L(y,x,z) * (x * z),u,w). a(L(x,y,z) * (y * z),u,w) = a((y * x) * z,u,w). x != a(y * L(z \ L(z,u,w),v5,v6),v7,v8) | a(y * L(z * L(z,u,w),v5,v6),v7,v8) = x. a(x * L(y * L(y,z,u),w,v5),v6,v7) = a(x * (L(y,w,v5) * L(L(y,w,v5),z,u)),v6,v7). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(x * L(y * L(y,w,v5),z,u),v6,v7). L(x,((y * (z / u)) \ w) \ v5,v6) != v7 | L(x,((y * (u \ z)) \ w) \ v5,v6) = v7. L(x,((y * (y \ (y * z))) \ ((T(y,z) * u) * z)) \ w,v5) = L(x,R(u,T(y,z),z) \ w,v5). L(x,y,z * R(u,w,v5)) != v6 | L(x,y,z * L(u,w,v5)) = v6. L((x \ R(x,y,z)) \ u,x * R(x,y,z),x * L(x,y,z)) = ((x \ R(x,y,z)) \ 1) * u. a((L(x,y,z) * L(L(x,y,z),u,w)) * v5,v6,v7) = a(v5 * L(x * L(x,u,w),y,z),v6,v7). L(x,((y * z) \ ((T(y,z) * u) * z)) \ w,v5) = L(x,R(u,T(y,z),z) \ w,v5). L(x,((y * z) \ ((z * u) * y)) \ w,v5) = L(x,R(u,T(z,y),y) \ w,v5). L(x,L(y,z,u) \ w,v5) = L(x,R(y,T(z,u),u) \ w,v5). L(x,R(y,T(z,u),u) \ w,v5) = L(x,L(y,z,u) \ w,v5). L(x,R(y,z,u) \ w,v5) = L(x,L(y,z,u) \ w,v5). L(x,(R(y,z,u) \ 1) * w,v5) = L(x,L(y,z,u) \ L(w,R(y,z,u),R(y,z,u)),v5). L(x,L(y,z,u) \ L(w,R(y,z,u),R(y,z,u)),v5) = L(x,(R(y,z,u) \ 1) * w,v5). x != L(y,(z \ 1) * u,w) | L(y,z * u,w) = x. L(x,R(y,z,u) * w,v5) = L(x,L(y,z,u) \ L(w,R(y,z,u),R(y,z,u)),v5). L(x,L(y,z,u) \ L(w,R(y,z,u),R(y,z,u)),v5) = L(x,R(y,z,u) * w,v5). L(x,L(y,z,u) \ L(w,R(y,z,u),L(y,z,u)),v5) = L(x,R(y,z,u) * w,v5). a(x * L(y * L(y,z,u),w,v5),v6,v7) != v8 | a(x * (L(y,w,v5) * L(L(y,w,v5),z,u)),v6,v7) = v8. ((x \ L(x,y,z)) \ 1) * ((x \ L(x,y,z)) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. (L(x,y,z) \ x) * ((x \ L(x,y,z)) \ ((L(x,y,z) \ x) \ u)) != w | (x \ L(x,y,z)) \ u = w. (x \ L(x,y,z)) \ u = (L(x,y,z) * L(x \ 1,y,z)) \ ((L(x,y,z) \ x) \ u). (L(x,y,z) * L(x \ 1,y,z)) \ ((L(x,y,z) \ x) \ u) = (x \ L(x,y,z)) \ u. (L(x,y,z) * L(x \ 1,y,z)) \ T(u,L(x,y,z) \ x) = (x \ L(x,y,z)) \ (u * (L(x,y,z) \ x)). a(x,y \ L(y,z,u),y) = (x * L(T(y,w),z,u)) \ ((x * (y \ L(y,z,u))) * T(y,w)). (x * L(T(y,z),u,w)) \ ((x * (y \ L(y,u,w))) * T(y,z)) = a(x,y \ L(y,u,w),y). a(x,y * L(y,z,u),y) = (x * L(T(y,w),z,u)) \ ((x * (y \ L(y,z,u))) * T(y,w)). (x * L(T(y,z),u,w)) \ ((x * (y \ L(y,u,w))) * T(y,z)) = a(x,y * L(y,u,w),y). T(x,y) * (z * R(z \ (T(x,y) \ u),w,v5)) = z * (x * R(x \ (z \ u),w,v5)). ((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ u),w,v5)) = z * (x * R(x \ (z \ u),w,v5)). L(T(x,y),z,u) * L(w,x \ L(x,z,u),x) = x * (K(x,y) * (w * (x \ L(x,z,u)))). L(T(x,y),z,u) * L(w,x * L(x,z,u),x) = x * (K(x,y) * (w * (x \ L(x,z,u)))). L(T(x,y),z,u) * L(w,x,x * L(x,z,u)) = x * (K(x,y) * (w * (x \ L(x,z,u)))). L(T(x,y),z,u) * L(w,x,x * L(x,z,u)) != v5 | (x \ L(x,z,u)) * (T(x,y) * w) = v5. (x \ L(x,y,z)) * (T(x,u) * w) = x * (K(x,u) * (w * (x \ L(x,y,z)))). x * (K(x,y) * (z * (x \ L(x,u,w)))) = (x \ L(x,u,w)) * (T(x,y) * z). x * ((x \ L(T(x,y),z,u)) * w) = (x \ L(x,z,u)) * (T(x,y) * w). (x \ L(x,y,z)) * (T(x,u) * w) = x * ((x \ L(T(x,u),y,z)) * w). (x \ L(x,y,z)) \ (x * ((x \ L(T(x,u),y,z)) * w)) = T(x,u) * w. a(T(x \ 1,y) * z,u,w) = a((x \ L(x \ 1,v5,v6)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,y),v5,v6)) * z)),u,w). a((x \ L(x \ 1,y,z)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,u),y,z)) * w)),v5,v6) = a(T(x \ 1,u) * w,v5,v6). x != (y * y) * R(a(z,u,w) \ 1,a(z,u,w),y) | (a(z,u,w) * (y \ 1)) \ y = x. (a(x,y,z) * (u \ 1)) \ u = T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)). T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)) = (a(x,y,z) * (u \ 1)) \ u. x != T(y,z) * (L(y,u,w) * v5) | y * (L(T(y,z),u,w) * v5) = x. x * (L(T(x,y),z,u) * (L(x,w,v5) \ 1)) = L(T(x,y),z,u) * (L(T(x,y),w,v5) \ T(x,y)). L(T(x,y),z,u) * (L(T(x,y),w,v5) \ T(x,y)) = x * (L(T(x,y),z,u) * (L(x,w,v5) \ 1)). a(x * ((((y * y) \ z) * u) * w),v5,v6) != v7 | a(((u * z) * w) * x,v5,v6) = v7. a(((L(x,y,z) * u) * w) * v5,v6,v7) = a(((L(x \ 1,y,z) * u) * w) * v5,v6,v7). a(((L(x \ 1,y,z) * u) * w) * v5,v6,v7) = a(((L(x,y,z) * u) * w) * v5,v6,v7). a(x * ((y * L(z \ 1,u,w)) * v5),v6,v7) = a(((L(z,u,w) * y) * v5) * x,v6,v7). a(K(x,y) * (((z \ L(x,u,w)) * v5) * v6),v7,v8) = a(v6 * ((z \ L(T(x,y),u,w)) * v5),v7,v8). ((x \ y) \ y) * (z * R(z \ (T(x,x \ y) \ (u * z)),w,v5)) != v6 | (x * R(x \ u,w,v5)) * z = v6. (x * R(x \ y,z,u)) * w = w * (x * R(x \ (w \ (y * w)),z,u)). x * (y * R(y \ (x \ (z * x)),u,w)) = (y * R(y \ z,u,w)) * x. x * (y * R(y \ (x \ z),u,w)) != v5 | (x * y) * R((x * y) \ z,u,w) = v5. (x * y) * R((x * y) \ (z * x),u,w) = (y * R(y \ z,u,w)) * x. x * (y * R(y \ T(z,x),u,w)) = (y * R(y \ z,u,w)) * x. K(x,y) * (z * R(z \ x,u,w)) = (z * R(z \ x,u,w)) * K(x,y). x * y != (z * u) * R((z * u) \ (w * z),v5,v6) | x \ ((u * R(u \ w,v5,v6)) * z) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (w * y)) * R((x \ (w * y)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ y,u,w) = x \ ((z * R(z \ x,u,w)) * y). a(x * ((y \ L(T(z,u),w,v5)) * v6),v7,v8) != v9 | a(((y \ L(z,w,v5)) * v6) * x,v7,v8) = v9. ((x * (y * z)) * (K(u,w) * v5)) / (x * ((y * z) * (K(u,w) * v5))) = a(x,y * (z * K(u,w)),v5). ((x * y) * a(a(z,u,w),v5,v6)) / (x * (a(a(z,u,w),v5,v6) * y)) = a(x,a(a(z,u,w),v5,v6),y). a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (L(L(z \ 1,u,w),z,z) * y),v5,v6). a(x * (L(L(y \ 1,z,u),y,y) * w),v5,v6) = a(x * (w * (y * (L(y,z,u) \ y))),v5,v6). a(x * (L((1 / y) * 1,z,u) * w),v5,v6) = a(x * (w * (y * (L(y,z,u) \ y))),v5,v6). a(x * (L(1 / y,z,u) * w),v5,v6) = a(x * (w * (y * (L(y,z,u) \ y))),v5,v6). a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (L(1 / z,u,w) * y),v5,v6). x != a(y * (L(1 / z,u,w) * v5),v6,v7) | a(y * (v5 * L(z,u,w)),v6,v7) = x. a(x * (y * L(z,u,w)),v5,v6) = a(x * (y * (z * (L(z,u,w) \ z))),v5,v6). a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5) = L(x,R(y * ((y * y) \ z),u,w),v5). L(x,L(R((y \ 1) \ z,u,w),y \ 1,y \ 1),v5) = L(x,R((y \ 1) * z,u,w),v5). L(x,L(R((y \ 1) \ z,u,w),y,y),v5) = L(x,R((y \ 1) * z,u,w),v5). L(x,R(y * z,u,w),v5) = L(x,R((y \ 1) * z,u,w),v5). L(x,R((y \ 1) * z,u,w),v5) = L(x,R(y * z,u,w),v5). a(x,y * z,K(u,w) * v5) = a(x,y * (z * K(u,w)),v5). a(x,y * (z * K(u,w)),v5) = a(x,y * z,K(u,w) * v5). x != a(y,z,K(u,w) * v5) | a(y,z,v5) = x. a(x,y * z,u) = a(x,y * (z * K(w,v5)),u). a(x,y * (z * K(u,w)),v5) = a(x,y * z,v5). a(x,y * (z * u),w) = a(x,y * (T(z,v5) * u),w). a(x,y * (T(z,u) * w),v5) = a(x,y * (z * w),v5). a(x,y * K(z,u),w) != v5 | a(x,y,w) = v5. a(x,y * z,u) != w | a(x,z * y,u) = w. a(x,y,a(a(z,u,w),v5,v6)) = a(x,a(a(z,u,w),v5,v6),y). a(x,a(a(y,z,u),w,v5),v6) = a(x,v6,a(a(y,z,u),w,v5)). ((L(x,y,z) \ x) * u) * ((L(x,y,z) \ x) \ 1) = R(u,x * L(x,y,z),L(x,y,z) \ x). ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = R(u,x * L(x,y,z),L(x,y,z) \ x). (((L(x,y,z) \ x) \ 1) * u) * (L(x,y,z) \ x) = L(u,x * L(x,y,z),L(x,y,z) \ x). x != L(y,z,L(u,w,v5) \ u) | L(y,z,u * L(u,w,v5)) = x. L(x,y * L(y,z,u),y * L(y,z,u)) = (((L(y,z,u) \ y) \ 1) * x) * (L(y,z,u) \ y). (((L(x,y,z) \ x) \ 1) * u) * (L(x,y,z) \ x) = L(u,x * L(x,y,z),x * L(x,y,z)). ((x \ L(x,y,z)) * u) * (L(x,y,z) \ x) = L(u,x * L(x,y,z),x * L(x,y,z)). (x * (y \ L(y,z,u))) * (L(y,z,u) \ y) = L(x,y * L(y,z,u),y * L(y,z,u)). (L(x,y,z) \ x) * (u * (x \ L(x,y,z))) = L(u,x * L(x,y,z),x * L(x,y,z)). x != L(((y \ 1) \ 1) \ z,y,y) | (y \ 1) * z = x. ((x * L(x,y,z)) \ 1) * u = (((((x * L(x,y,z)) \ 1) \ 1) \ u) * (x \ L(x,y,z))) * (L(x,y,z) \ x). (((((x * L(x,y,z)) \ 1) \ 1) \ u) * (x \ L(x,y,z))) * (L(x,y,z) \ x) = ((x * L(x,y,z)) \ 1) * u. (L(x,y,z) \ x) * (L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w))) = L(T((x \ L(x,y,z)) \ u,w),x * L(x,y,z),x * L(x,y,z)). ((x \ L(x,y,z)) * u) \ u = u / ((x \ L(x,y,z)) * u). x / ((y \ L(y,z,u)) * x) = ((y \ L(y,z,u)) * x) \ x. x / (x * (y \ L(y,z,u))) = ((y \ L(y,z,u)) * x) \ x. x * R(((y \ x) * T(y,y \ x)) \ z,u,w) = (y \ x) * (y * R(y \ ((y \ x) \ z),u,w)). (x \ y) * (x * R(x \ ((x \ y) \ z),u,w)) = y * R(((x \ y) * T(x,x \ y)) \ z,u,w). (x \ y) * (x * R(x \ ((x \ y) \ z),u,w)) = y * R(y \ z,u,w). x * (y * R(y \ (x \ (z * y)),u,w)) != v5 | (x * R(x \ z,u,w)) * y = v5. ((x \ y) * R((x \ y) \ z,u,w)) * x = y * R(y \ (z * x),u,w). (x * L(T(y,z),u,w)) \ ((y \ L(y,u,w)) * (x * T(y,z))) = a(x,T(y,z),y * L(y,u,w)). (x * L(T(y,z),u,w)) \ ((y \ L(y,u,w)) * (x * T(y,z))) != v5 | a(x,y,y * L(y,u,w)) = v5. (L(x,y,z) * L(x \ 1,y,z)) \ u = (x \ L(x,y,z)) \ (u * (L(x,y,z) \ x)). (x \ L(x,y,z)) \ (u * (L(x,y,z) \ x)) = (L(x,y,z) * L(x \ 1,y,z)) \ u. (x \ L(x,y,z)) \ (u * (L(x,y,z) \ x)) != w | u * ((L(x,y,z) \ x) / (x \ L(x,y,z))) = w. x * ((L(y,z,u) \ y) / (y \ L(y,z,u))) = (L(y,z,u) * L(y \ 1,z,u)) \ x. x * ((y \ L(y,z,u)) \ (L(y,z,u) \ y)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. x * ((L(y,z,u) \ y) * (L(y,z,u) \ y)) = (L(y,z,u) * L(y \ 1,z,u)) \ x. (L(x,y,z) * L(x \ 1,y,z)) \ u != u * w | (L(x,y,z) \ x) * (L(x,y,z) \ x) = w. L(T(x,y),z,u) * (L(T(L(x,z,u),y),w,v5) \ v6) = x * (((L(L(x,z,u),w,v5) \ v6) / x) * L(x,z,u)). L(x,y,z) \ T(L(L(x,y,z) * ((1 / L(x,y,z)) * x),u,w),v5) = T(L(x,u,w),v5) * (L(x,y,z) \ 1). (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * (x \ R(x,y,z)) = L(T(x \ R(x,y,z),v5),u,w). L(T(x \ R(x,y,z),u),w,v5) = (R(x,y,z) * (x \ L(R(x,y,z) \ x,w,v5))) * (x \ R(x,y,z)). L(x \ R(x,y,z),u,w) = (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * (x \ R(x,y,z)). (R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w))) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). a(x * ((y * L(z \ 1,u,w)) * v5),v6,v7) != v8 | a(((L(z,u,w) * y) * v5) * x,v6,v7) = v8. a(((L(x,y,z) * L(u,u,L(x,y,z))) * w) * v5,v6,v7) = a(((u \ L(x \ 1,y,z)) * w) * v5,v6,v7). a(((L(x,y,z) / (u \ 1)) * w) * v5,v6,v7) = a(((u \ L(x \ 1,y,z)) * w) * v5,v6,v7). a((((x \ 1) \ L(y,z,u)) * w) * v5,v6,v7) = a(((x \ L(y \ 1,z,u)) * w) * v5,v6,v7). a((((x \ 1) \ y) * z) * u,w,v5) != v6 | a(((x \ y) * z) * u,w,v5) = v6. a(((x \ L(y,z,u)) * w) * v5,v6,v7) = a(((x \ L(y \ 1,z,u)) * w) * v5,v6,v7). a(((x \ L(y \ 1,z,u)) * w) * v5,v6,v7) = a(((x \ L(y,z,u)) * w) * v5,v6,v7). a(x \ (y \ (z \ (K(u,w) * v5))),v6,v7) != v8 | a(x \ (y \ (z \ v5)),v6,v7) = v8. a(x \ (y \ (z \ (u * (w * v5)))),v6,v7) = a(x \ (y \ (z \ (u * (T(T(w,u),v8) * v5)))),v6,v7). a(x \ (y \ (z \ (u * (T(T(w,u),v5) * v6)))),v7,v8) = a(x \ (y \ (z \ (u * (w * v6)))),v7,v8). a(x \ (y \ (z \ (u * (T(T(w,u),v5) * v6)))),v7,v8) != v9 | a(x \ (y \ (z \ (u * (T(w,v5) * v6)))),v7,v8) = v9. a(x \ (y \ (z \ (u * (T(w,v5) * v6)))),v7,v8) = a(x \ (y \ (z \ (u * (w * v6)))),v7,v8). ((((x \ (L(x,y,z) \ 1)) \ 1) \ u) * (x \ L(x,y,z))) * (L(x,y,z) \ x) = ((x * L(x,y,z)) \ 1) * u. L(T(x,y),z,u) * (L(L(T(x,y),z,u),w,v5) \ v6) = x * (((L(L(x,z,u),w,v5) \ v6) / x) * L(x,z,u)). L(x,y,z) \ T(L(L(x,y,z) * (L(x,y,z) \ x),u,w),v5) = T(L(x,u,w),v5) * (L(x,y,z) \ 1). L(x,y,z) \ T(L(x,u,w),v5) = T(L(x,u,w),v5) * (L(x,y,z) \ 1). T(L(x,y,z),u) * (L(x,w,v5) \ 1) = L(x,w,v5) \ T(L(x,y,z),u). T(L(x,y,z),u) * (L(x,w,v5) \ 1) = L(x,w,v5) \ L(T(x,u),y,z). L(T(x,y),z,u) * (L(x,w,v5) \ 1) = L(x,w,v5) \ L(T(x,y),z,u). L(T(x,y),z,u) * (L(T(x,y),w,v5) \ T(x,y)) = x * (L(x,w,v5) \ L(T(x,y),z,u)). L(T(x,y),z,u) * (L(x,w,v5) \ x) = x * (L(x,w,v5) \ L(T(x,y),z,u)). K(x,y) * (y * (L(y,z,u) \ L(T(y,x),w,v5))) = L(y,w,v5) * (L(y,z,u) \ y). x * (K(y,x) * (L(x,z,u) \ L(T(x,y),w,v5))) = L(x,w,v5) * (L(x,z,u) \ x). x * T(L(x,y,z) \ L(x,u,w),K(x,v5)) = L(x,u,w) * (L(x,y,z) \ x). x * (L(x,y,z) \ L(x,u,w)) = L(x,u,w) * (L(x,y,z) \ x). L(x,y,z) * (L(x,u,w) \ x) = x * (L(x,u,w) \ L(x,y,z)). (L(x,y,z) \ x) * L(x,u,w) = x * (L(x,y,z) \ L(x,u,w)). L(x,y,z) * (L(x,u,w) \ 1) = L(x,u,w) \ L(x,y,z). L(x,y,z) \ (L(x,u,w) \ L(x,y,z)) = L(x,u,w) \ 1. L(x,y,z) * (L(x,u,w) \ 1) != v5 | v5 = L(x,u,w) \ L(x,y,z). L(x,y,z) * (L(x,u,w) \ 1) != v5 | L(x,u,w) \ L(x,y,z) = v5. (((x * L(x,y,z)) \ u) * (x \ L(x,y,z))) * (L(x,y,z) \ x) = ((x * L(x,y,z)) \ 1) * u. ((x * x) \ y) * (L(x,z,u) \ x) = ((x * L(x,z,u)) \ 1) * y. ((x * x) \ y) * (L(x,z,u) \ x) = (x \ (L(x,z,u) \ 1)) * y. x != y * ((z / y) * L(y,u,w)) | L(y,u,w) * z = x. L(x,y,z) * (L(L(x,y,z),u,w) \ v5) = L(T(x,v6),y,z) * (L(L(T(x,v6),y,z),u,w) \ v5). L(T(x,y),z,u) * (L(L(T(x,y),z,u),w,v5) \ v6) = L(x,z,u) * (L(L(x,z,u),w,v5) \ v6). K(x,y) * (L(y,z,u) * (L(L(y,z,u),w,v5) \ v6)) = L(y,z,u) * (L(L(T(y,x),z,u),w,v5) \ v6). K(x,y) * (L(y,z,u) * (L(L(y,z,u),w,v5) \ v6)) != v7 | T(L(L(y,w,v5),z,u),x) \ (L(y,z,u) * v6) = v7. T(L(L(x,y,z),u,w),v5) \ (L(x,u,w) * v6) = L(x,u,w) * (L(L(T(x,v5),u,w),y,z) \ v6). L(T(L(x,y,z),u),w,v5) \ (L(x,w,v5) * v6) = L(x,w,v5) * (L(L(T(x,u),w,v5),y,z) \ v6). L(L(T(x,y),z,u),w,v5) \ (L(x,w,v5) * v6) = L(x,w,v5) * (L(L(T(x,y),w,v5),z,u) \ v6). L(L(T(x,y),z,u),w,v5) \ (L(x,z,u) * v6) = L(x,z,u) * (L(L(T(x,y),z,u),w,v5) \ v6). (L(x \ (1 * L(x,y,z)),u,w) / (x \ 1)) * L(x \ 1,u,w) = (x \ 1) \ L(L(x \ 1,u,w),y,z). (x \ (R(x,y,z) \ 1)) \ R(R(x,y,z) \ (x \ 1),u,w) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). x * T(R(K(y,z) * (u / (K(y,z) * x)),w,v5),K(y,z) * x) = (K(y,z) * x) * R((K(y,z) * x) \ u,w,v5). x * (((y * y) \ 1) * L(((y * y) \ 1) \ (x \ ((y * y) \ z)),u,w)) = (y * y) \ (x * L(x \ z,u,w)). x * ((y * y) \ L((y * y) * (x \ ((y * y) \ z)),u,w)) = (y * y) \ (x * L(x \ z,u,w)). x != (y * y) \ (z * u) | ((y * y) \ z) * u = x. ((x * x) \ y) * L(y \ z,u,w) = y * ((x * x) \ L((x * x) * (y \ ((x * x) \ z)),u,w)). x * ((y * y) \ L((y * y) * (x \ ((y * y) \ z)),u,w)) = ((y * y) \ x) * L(x \ z,u,w). x * L(x \ ((y * y) \ z),u,w) = ((y * y) \ x) * L(x \ z,u,w). ((x * x) \ y) * L(y \ z,u,w) = y * L(y \ ((x * x) \ z),u,w). ((x * x) * (y / x)) * (L(((x * x) * y) / x,z,u) \ w) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). (x \ (R(x,y,z) \ 1)) \ R(x \ (R(x,y,z) \ 1),u,w) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). x * R(T(K(y,z) * (u / (K(y,z) * x)),K(y,z) * x),w,v5) = (K(y,z) * x) * R((K(y,z) * x) \ u,w,v5). ((x * x) * (y / x)) * (L((x * x) * (y / x),z,u) \ w) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). x \ ((R(x,y,z) \ 1) * R((R(x,y,z) \ 1) \ x,u,w)) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). x * R((K(y,z) * x) \ (K(y,z) * u),w,v5) = (K(y,z) * x) * R((K(y,z) * x) \ u,w,v5). (K(x,y) * z) * R((K(x,y) * z) \ u,w,v5) = z * R((K(x,y) * z) \ (K(x,y) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ u,w,v5) = z * R(z \ u,w,v5). (x * y) * R((x * y) \ (z * x),u,w) != v5 | (y * R(y \ z,u,w)) * x = v5. (x * R(x \ y,z,u)) * K(w,v5) = x * R(x \ (y * K(w,v5)),z,u). (x * R(x \ y,z,u)) * K(y,w) != v5 | K(y,w) * (x * R(x \ y,z,u)) = v5. K(x,y) * (z * R(z \ x,u,w)) = z * R(z \ (x * K(x,y)),u,w). K(x,y) * (z * R(z \ x,u,w)) = z * R(z \ T(x,y),u,w). ((x * R(x \ y,z,u)) * ((y * w) / y)) \ (w * (x * R(x \ T(y,w),z,u))) = K(w,T(x * R(x \ y,z,u),y)). ((x * x) * (y / x)) * (L(y / x,z,u) \ ((x * x) \ w)) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)) = x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)). x != y \ (R(y,z,u) * w) | R(y,z,u) * (y \ w) = x. R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)) = R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)). R(x,y,z) \ ((x \ 1) * R(x * R(x,y,z),u,w)) = R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)). R(x,y,z) \ (x * R(x \ R(x,y,z),u,w)) = R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)). (x * x) * ((y / x) * (L(y / x,z,u) \ ((x * x) \ w))) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). (x * x) * ((x \ y) * (L(x \ y,z,u) \ ((x * x) \ w))) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). (x * x) * (y * (L(y,z,u) \ ((x * x) \ w))) != v5 | y * (L(y,z,u) \ w) = v5. (x \ y) * (L(x \ y,z,u) \ w) = ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w). ((1 / x) \ y) * (L(x \ ((x * x) * y),z,u) \ w) = (x \ y) * (L(x \ y,z,u) \ w). ((1 / x) \ y) * (L((1 / x) \ y,z,u) \ w) = (x \ y) * (L(x \ y,z,u) \ w). L(x \ ((x / y) * z),u,w) \ (x \ ((x / y) * z)) = (x \ ((x / y) * (z * L(z \ y,u,w)))) \ 1. L(1 \ (x \ R(x,y,z)),u,w) \ (1 \ ((1 / x) * R(x,y,z))) = (1 \ ((1 / x) * (R(x,y,z) * L(R(x,y,z) \ x,u,w)))) \ 1. (1 \ ((1 / x) * (R(x,y,z) * L(R(x,y,z) \ x,u,w)))) \ 1 = L(1 \ (x \ R(x,y,z)),u,w) \ (1 \ ((1 / x) * R(x,y,z))). T(L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1),L(x,y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ L(x,y,z)). (x * y) \ (((z * x) * y) * L(((z * x) * y) \ (x * y),u,w)) = R(z,x,y) \ L(R(z,x,y),u,w). (x * y) \ (((z * x) * L((z * x) \ x,u,w)) * y) = R(z,x,y) \ L(R(z,x,y),u,w). (x * y) \ ((z * (x * L(x \ (z \ x),u,w))) * y) = R(z,x,y) \ L(R(z,x,y),u,w). (x * y) \ ((x * (z \ L(z,u,w))) * y) = R(z,x,y) \ L(R(z,x,y),u,w). (a(a(x,y,z),u,w) * (v5 * (v6 * v7))) \ ((a(a(x,y,z),u,w) * (v5 * v6)) * v7) = a(v5 * a(a(x,y,z),u,w),v6,v7). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / (u * w)) * K(w,w \ 1))) = K(x,z \ a(y,K(w \ 1,w),u * w)). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / T(u,w)) / ((1 / w) \ 1))) = K(x,z \ a(y,1 / (1 / w),T(u,w))). ((x * R(x \ y,z,u)) * ((y * w) / y)) \ ((x * R(x \ y,z,u)) * w) = K(w,T(x * R(x \ y,z,u),y)). K(x,y) = K(x,T(z * R(z \ y,u,w),y)). K(x,T(y * R(y \ z,u,w),z)) = K(x,z). K(x,y * R(y \ z,u,w)) = K(x,z). K(x,y * R(z,u,w)) = K(x,y * z). K(x,y * R(T(z,y),u,w)) = K(x,z * y). K(x,y * ((z * u) / w)) = K(x,y * (z / (w / u))). K(x,R(y,z,u) * w) = K(x,y * w). K(x,y) = K(x,z * (R(z,u,w) \ y)). K(x,y * (R(y,z,u) \ w)) = K(x,w). x \ y != K(z,u * (R(u,w,v5) \ v6)) | x * K(z,v6) = y. x * K(x,y) = T(x,z * (R(z,u,w) \ y)). T(x,y * (R(y,z,u) \ w)) = x * K(x,w). T(x,y) = T(x,z * (R(z,u,w) \ y)). T(x,y * (R(y,z,u) \ w)) = T(x,w). T(x,y * ((y \ z) * u)) = T(x,z * u). T(x,L(y,z,u) * ((y \ (L(y,z,u) \ w)) * v5)) = T(x,(y \ w) * v5). K(x,R(y,z,T(u,z)) * ((u * z) / w)) != v5 | K(x,y / ((w / T(u,z)) / z)) = v5. K(x,y / ((z / T(u,w)) / w)) = K(x,R(y,w,T(u,w)) * (u / (z / w))). K(x,R(y,z,T(u,z)) * (u / (w / z))) = K(x,y / ((w / T(u,z)) / z)). K(x,R(y,z,u) * w) != v5 | K(x,y * w) = v5. K(x,y * (z / (u / w))) = K(x,y / ((u / T(z,w)) / w)). K(x,y / ((z / T(u,w)) / w)) = K(x,y * (u / (z / w))). (a(a(x,y,z),u,w) * (v5 * (v6 * v7))) \ (a(a(x,y,z),u,w) * ((v5 * v6) * v7)) = a(v5 * a(a(x,y,z),u,w),v6,v7). K(x,(y / ((z * (y * (u * (1 / (1 / w))))) / (u * w))) * K(w \ 1,w)) = K(x,z \ a(y,K(w \ 1,w),u * w)). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / T(u,w)) / w)) = K(x,z \ a(y,1 / (1 / w),T(u,w))). K(x,y / (((z * (y * (u * (1 / (1 / w))))) / T(u,w)) / w)) = K(x,z \ a(y,w,T(u,w))). K(x,y / ((z / T(u,w)) / w)) != v5 | K(x,y * (u / (z / w))) = v5. K(x,y * (z / ((u * (y * (z * (1 / (1 / w))))) / w))) = K(x,u \ a(y,w,T(z,w))). L(a(x,y,z),x * (y * z),a(a(u,w,v5),v6,v7)) = a(x * a(a(u,w,v5),v6,v7),y,z). a(x,y,z) = a(x * a(a(u,w,v5),v6,v7),y,z). a(x * a(a(y,z,u),w,v5),v6,v7) = a(x,v6,v7). a(a(a(x,y,z),u,w) * v5,v6,v7) = a(v5,v6,v7). a((a(x,y,z) * u) * w,v5,v6) = a(a(x,y,z) * (u * w),v5,v6). a(x,y,z) = a(L(x,a(u,w,v5),a(u,w,v5)),y,z). a(L(x,a(y,z,u),a(y,z,u)),w,v5) = a(x,w,v5). a(a(x,y,z) * u,w,v5) = a(a(x,y,z) \ u,w,v5). a(a(x,y,z) \ u,w,v5) = a(a(x,y,z) * u,w,v5). a(a(x,y,z) \ u,w,v5) != v6 | a(a(x,y,z) * u,w,v5) = v6. a(x * (a(y,z,u) * w),v5,v6) = a(a(y,z,u) * (w * x),v5,v6). a(a(x,y,z) * (u * w),v5,v6) = a(w * (a(x,y,z) * u),v5,v6). a(a(x,y,z) * (a(x,y,z) * u),w,v5) != v6 | a(u,w,v5) = v6. a((x * a(y,z,u)) * w,v5,v6) = a(a(y,z,u) * (x * w),v5,v6). a(a(x,y,z) * (u * w),v5,v6) != v7 | a(w * (a(x,y,z) * u),v5,v6) = v7. K(x,y / ((z * (y * (u * (1 / (1 / w))))) / (u * w))) = K(x,z \ a(y,K(w \ 1,w),u * w)). K(x,y \ a(z,K(u \ 1,u),w * u)) = K(x,z / ((y * (z * (w * (1 / (1 / u))))) / (w * u))). K(x,y \ 1) = K(x,z / ((y * (z * (u * (1 / (1 / w))))) / (u * w))). K(x,y / ((z * (y * (u * (1 / (1 / w))))) / (u * w))) = K(x,z \ 1). K(x,y / (z / u)) != w | K(x,y * (u / z)) = w. K(x,y * ((z * u) / (w * (y * (z * (1 / (1 / u))))))) = K(x,w \ 1). K(x,y * ((z * u) / w)) != v5 | K(x,y * (z / (w / u))) = v5. K(x,y * (z / ((u * (y * (z * (1 / (1 / w))))) / w))) = K(x,u \ 1). K(x,y * (z / ((u * (y * (z * (1 / (1 / w))))) / w))) != v5 | K(x,u \ a(y,w,T(z,w))) = v5. K(x,y \ a(z,u,T(w,u))) = K(x,y \ 1). K(x,y \ a(z,u,w)) = K(x,y \ 1). K(x,y * a(z,u,w)) = K(x,(1 / y) \ 1). K(x,y * a(z,u,w)) = K(x,y). x \ y != K(z,u * a(w,v5,v6)) | x * K(z,u) = y. x * K(x,y) = T(x,y * a(z,u,w)). T(x,y * a(z,u,w)) = x * K(x,y). K(x,y) * ((y * a(z,u,w)) * x) = x * (y * a(z,u,w)). T(x,y) = T(x,y * a(z,u,w)). T(x,y * a(z,u,w)) = T(x,y). x \ y != z * K(z,u) | x * T(z,u * a(w,v5,v6)) = y. x * T(y,x * a(z,u,w)) = y * x. T(x,a(y,z,u) * w) = T(x,w). T(x,y \ a(z,u,w)) = T(x,y \ 1). T(x,y * a(z,u,w)) != v5 | T(x,a(z,u,w) \ y) = v5. T(x,a(y,z,u) \ w) = T(x,w). x \ y != T(z,u * a(w,v5,v6)) | x * T(z,u) = y. (x * a(y,z,u)) * T(w,x) = w * (x * a(y,z,u)). R(x,a(y,z,u),w) = (w * (x * a(y,z,u))) / (a(y,z,u) * T(w,x)). (x * (y * a(z,u,w))) / (a(z,u,w) * T(x,y)) = R(y,a(z,u,w),x). R(T(a(x,y,z) \ u,w),a(x,y,z),w) = (a(x,y,z) * w) \ (u * w). T(x,y \ ((z * u) \ w)) = T(x,(z * (u * y)) \ w). T(x,(y * (z * u)) \ w) = T(x,u \ ((y * z) \ w)). x \ y != T(z,a(u,w,v5) \ v6) | x * T(z,v6) = y. (a(x,y,z) \ u) * T(w,u) = w * (a(x,y,z) \ u). (x * y) / T(a(z,u,w) * x,y) = (a(z,u,w) * x) \ (x * y). x * (a(y,z,u) * x) = (a(y,z,u) * x) * x. (a(x,y,z) * u) * u = u * (a(x,y,z) * u). (a(x,y,z) * u) * T(w,u) = w * (u * a(x,y,z)). T(x,(y * (z * u)) \ ((y * z) * w)) = T(x,u \ w). (a(x,y,z) \ a(u,w,v5)) * v6 = v6 * (a(x,y,z) \ a(u,w,v5)). (a(x,y,z) * a(u,w,v5)) * v6 = v6 * (a(u,w,v5) * a(x,y,z)). (a(x,y,z) * u) \ w = T(w / (u * a(x,y,z)),u). T(x / (y * a(z,u,w)),y) = (a(z,u,w) * y) \ x. T(x,L(y,z,u) \ w) = T(x,y \ w). T(x,y \ (L(z,u,w) \ v5)) = T(x,T(z,T(y,v6)) \ (y \ v5)). T(x,T(y,T(z,u)) \ (z \ w)) = T(x,z \ (L(y,v5,v6) \ w)). T(x,L(y,z,u) \ w) != v5 | T(x,L(y \ 1,z,u) * w) = v5. T(x,L(y \ 1,z,u) * w) = T(x,y \ w). x \ y != T(z,L(u,w,v5) \ v6) | x * T(z,u \ v6) = y. (L(x,y,z) \ u) * T(w,x \ u) = w * (L(x,y,z) \ u). K(T(x,y \ z) * (L(y,u,w) \ z),v5) = K((L(y,u,w) \ z) * x,v5). (x * ((a(y,z,u) * x) \ w)) / x = w / (x * a(y,z,u)). T(((x * y) * z) / (x * z),x) != u | R(y,x,z) = u. R(x,y,a(z,u,w)) = (a(z,u,w) * y) \ ((y * x) * a(z,u,w)). (a(x,y,z) * u) \ ((u * w) * a(x,y,z)) = R(w,u,a(x,y,z)). x * y != K(z,u) * ((u * a(w,v5,v6)) * z) | x \ (z * (u * a(w,v5,v6))) = y. x \ (y * (x * a(z,u,w))) = T(x,y) \ ((x * a(z,u,w)) * y). T(x,y) \ ((x * a(z,u,w)) * y) = x \ (y * (x * a(z,u,w))). T(x,T(y,z) \ (z \ u)) = T(x,z \ (L(y,w,v5) \ u)). T(x,y \ (z \ u)) = T(x,y \ (L(z,w,v5) \ u)). T(x,y \ (L(z,u,w) \ v5)) = T(x,y \ (z \ v5)). T(x,y * (L(y,z,u) \ w)) = T(x,y \ ((1 / y) \ w)). x != T(y,z \ ((u / z) \ w)) | T(y,u \ w) = x. T(x,1 \ y) = T(x,z * (L(z,u,w) \ y)). T(x,y * (L(y,z,u) \ w)) = T(x,1 \ w). T(x,y * (L(y,z,u) \ w)) = T(x,w). T(x,(y \ L(y,z,u)) \ w) = T(x,w). T(x,y * (L(y,z,u) \ w)) != v5 | T(x,L(y,z,u) * (y \ w)) = v5. T(x,L(y,z,u) * (y \ w)) = T(x,w). T(x,y * z) = T(x,L(y,u,w) * z). T(x,L(y,z,u) * w) = T(x,y * w). K(x * (L(x,y,z) \ u),w) = w / T(w,u). T(x * (L(x,y,z) \ u),T(w,u)) = T(x * (L(x,y,z) \ u),w). (L(x \ L(x,y,z),u,w) \ v5) * T(v6,v5) = v6 * (L(x \ L(x,y,z),u,w) \ v5). T(x,L(y,z,u) * (y \ (w \ y))) != v5 | T(x,w \ L(y,z,u)) = v5. T(x,y \ L(z,u,w)) = T(x,y \ z). T(x,L(y,z,u) * ((y \ (L(y,z,u) \ w)) * v5)) != v6 | T(x,(y \ w) * v5) = v6. T(x,(y \ z) * u) = T(x,y * ((y \ (L(y,w,v5) \ z)) * u)). T(x,y * ((y \ (L(y,z,u) \ w)) * v5)) = T(x,(y \ w) * v5). T(x,y \ L(((z * y) \ z) \ (((z * y) \ z) \ u),w,v5)) != v6 | T(x,y * L(u,w,v5)) = v6. T(x,y * L(z,u,w)) = T(x,y \ (((v5 * y) \ v5) \ (((v5 * y) \ v5) \ z))). T(x,y \ (((z * y) \ z) \ (((z * y) \ z) \ u))) = T(x,y * L(u,w,v5)). K(x,y) = K(z * (L(z,u,w) \ x),y). K(x * (L(x,y,z) \ u),w) = K(u,w). x \ y != K(z,u) | x * K(w * (L(w,v5,v6) \ z),u) = y. x * K(y * (L(y,z,u) \ x),w) = T(x,w). K(L(x,y,z) \ u,w) = K(x \ u,w). K(L(x \ 1,y,z) \ u,w) = K(L(1 / x,y,z) \ u,w). K(L(1 / x,y,z) \ u,w) = K(L(x \ 1,y,z) \ u,w). x * K(y * (z \ x),u) != w | z * (y \ T(y * (z \ x),u)) = w. L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w)) = T(u,w). T(x,y * ((y \ z) * u)) != w | T(x,z * u) = w. T(x,(L(y,z,u) \ w) * v5) = T(x,(y \ w) * v5). T(x,y * (L(z,u,w) \ v5)) = T(x,(z \ v5) * T(y,z \ v5)). T(x,(y \ z) * T(u,y \ z)) = T(x,u * (L(y,w,v5) \ z)). T(x,y * (z \ u)) = T(x,y * (L(z,w,v5) \ u)). T(x,y * (L(z,u,w) \ v5)) = T(x,y * (z \ v5)). K(x * (L(y,z,u) \ w),v5) = v5 / T(v5,x * (y \ w)). K(x * (L(y,z,u) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. ((a(x,y,z) * u) \ (u * w)) \ (u * w) = T(a(x,y,z) * u,w). L(x,y,a(z,u,w)) = R(x,y,a(z,u,w)). R(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). R(x,y,a(z,u,w)) != v5 | L(x,y,a(z,u,w)) = v5. x != L(y,z,u) | (u * (z * y)) / T(u * z,y) = x. (a(x,y,z) * (u * w)) / T(a(x,y,z) * u,w) = R(w,u,a(x,y,z)). L(x,y,a(z,u,w)) * (y * a(z,u,w)) = (x * y) * a(z,u,w). L(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). a(x,y,z) \ ((a(x,y,z) * a(u,w,v5)) * v6) = a(x,y,z) \ (v6 * (a(x,y,z) * a(u,w,v5))). T(x * (L(x,y,z) \ u),T(x,u)) != w | L(x,y,z) \ (u * x) = w. L(x,y,a(z,u,w)) * (a(z,u,w) * y) = (x * y) * a(z,u,w). (x * y) * a(z,u,w) != v5 * (y * a(z,u,w)) | L(x,y,a(z,u,w)) = v5. x * (y * a(a(z,u,w),v5,v6)) = (x * y) * a(a(z,u,w),v5,v6). (x * y) * a(a(z,u,w),v5,v6) = x * (y * a(a(z,u,w),v5,v6)). x * y != z * a(u,w,v5) | (a(u,w,v5) * z) / y = x. (a(x,y,z) * (u * w)) / (a(x,y,z) * w) = L(u,w,a(x,y,z)). L(a(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,w). a(a(x,y,z),u,w) * (v5 * v6) = v5 * (v6 * a(a(x,y,z),u,w)). R(a(x,y,z),u,w) = a(x,y,z) * a(a(x,y,z),u,w). a(x,y,z) * a(a(x,y,z),u,w) = R(a(x,y,z),u,w). x \ a(a(y,z,u),w,v5) = (x \ 1) * a(a(y,z,u),w,v5). (x \ 1) * a(a(y,z,u),w,v5) = x \ a(a(y,z,u),w,v5). x * a(a(y,z,u),w,v5) = v6 * ((v6 \ x) * a(a(y,z,u),w,v5)). x * ((x \ y) * a(a(z,u,w),v5,v6)) = y * a(a(z,u,w),v5,v6). x * (y * (z * a(a(u,w,v5),v6,v7))) != (y * z) * a(a(u,w,v5),v6,v7) | 1 = x. 1 = a(x,y,a(a(z,u,w),v5,v6)). a(x,y,a(a(z,u,w),v5,v6)) = 1. x * (a(y,z,u) * ((w * v5) * a(a(y,z,u),w,v5))) = x * ((a(y,z,u) * w) * v5). (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7) = x * (R(x \ 1,y,z) * a(a(u,w,v5),v6,v7)). x * (R(x \ 1,y,z) * a(a(u,w,v5),v6,v7)) = (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7). (x * (y * a(a(z,u,w),v5,v6))) * v7 = a(a(z,u,w),v5,v6) * ((x * y) * v7). a(x,y,a(a(z,u,w),v5,v6)) != v7 | a(x,a(a(z,u,w),v5,v6),y) = v7. a(x,a(a(y,z,u),w,v5),v6) = 1. L(x,a(a(y,z,u),w,v5),v6) = x. L(x,a(a(y,z,u),w,v5) \ 1,v6) = x. x * (a(a(y,z,u),w,v5) * v6) = (x * a(a(y,z,u),w,v5)) * v6. (x * a(a(y,z,u),w,v5)) * v6 = x * (a(a(y,z,u),w,v5) * v6). x \ y != L(z,a(a(u,w,v5),v6,v7),v8) | x * z = y. x * (a(a(y,z,u),w,v5) \ v6) = (a(a(y,z,u),w,v5) \ x) * v6. (a(a(x,y,z),u,w) \ v5) * v6 = v5 * (a(a(x,y,z),u,w) \ v6). a(x,y,z) \ R(a(x,y,z),u,w) = a(a(x,y,z),u,w). L(x \ L(x,y,a(z,u,w)),v5,v6) \ 1 = a(a(z,u,w),y,L(x,v5,v6)). L(x,y,a(z,u,w)) \ x = a(a(z,u,w),y,x). (x * y) * a(a(z,u,w),v5,v6) != v7 | x * (y * a(a(z,u,w),v5,v6)) = v7. x \ y != a(z,u,w) | a(z,u,w) \ y = x. a(a(x,y,z),u,w) \ w = L(w,u,a(x,y,z)). a(a(x,y,z),u,w) \ w != v5 | L(w,u,a(x,y,z)) = v5. x * a(a(y,z,u),w,x) != v5 | L(1 / x,w,a(y,z,u)) \ 1 = v5. L(x,y,a(z,u,w)) * R(L(x,y,a(z,u,w)) \ a(a(z,u,w),y,x),v5,v6) = L(x,y,a(z,u,w)) \ R(x,v5,v6). L(x,y,a(z,u,w)) \ x != v5 | a(a(z,u,w),y,x) = v5. L(T(x,a(y,z,u)) \ a(a(y,z,u),w,v5),x,a(y,z,u)) = (x * a(y,z,u)) \ R(a(y,z,u),w,v5). a(x,y,z) \ R(a(x,y,z),u,w) != v5 | (x * (y * z)) \ (((x * y) * z) * R(((x * y) * z) \ (x * (y * z)),u,w)) = v5. (x * (y * z)) \ (((x * y) * z) * R(((x * y) * z) \ (x * (y * z)),u,w)) = a(a(x,y,z),u,w). a(a(x,y,z),u,w) * (v5 \ 1) = v5 \ a(a(x,y,z),u,w). x \ (a(a(y,z,u),w,v5) * v6) = (x \ v6) * a(a(y,z,u),w,v5). x != y * (z * a(u,w,v5)) | y * (a(u,w,v5) * z) = x. x * (a(a(y,z,u),w,v5) * v6) = a(a(y,z,u),w,v5) * (x * v6). a(a(x,y,z),u,w) * (v5 * v6) = v5 * (a(a(x,y,z),u,w) * v6). a(a(x,y,z),u,w) * (v5 * (v6 \ 1)) = v5 * (v6 \ a(a(x,y,z),u,w)). x * y != L(x,z,u) * w | L(x,z,u) * (x \ w) = y. L(x,y,z) * (x \ a(a(u,w,v5),v6,v7)) = (x \ L(x,y,z)) * a(a(u,w,v5),v6,v7). (x \ L(x,y,z)) * a(a(u,w,v5),v6,v7) = L(x,y,z) * (x \ a(a(u,w,v5),v6,v7)). L(x,y,z * a(a(u,w,v5),v6,v7)) = (z * (a(a(u,w,v5),v6,v7) * y)) \ ((z * a(a(u,w,v5),v6,v7)) * (y * x)). (x * (a(a(y,z,u),w,v5) * v6)) \ ((x * a(a(y,z,u),w,v5)) * (v6 * v7)) = L(v7,v6,x * a(a(y,z,u),w,v5)). x \ (a(a(y,z,u),w,v5) * v6) != v7 | a(a(y,z,u),w,v5) * (x \ v6) = v7. a(x \ (a(a(y,z,u),w,v5) * v6),v7,v8) = a(x \ v6,v7,v8). K(T(x,y \ z) * (y \ z),u) = K((L(y,w,v5) \ z) * x,u). K((x \ y) * z,u) = K((L(x,w,v5) \ y) * z,u). K((L(x,y,z) \ u) * w,v5) = K((x \ u) * w,v5). T(x,y) * a(z,u,w) = T(a(z,u,w) * x,y). T(a(x,y,z) * u,w) = T(u,w) * a(x,y,z). x != y * a(z,u,w) | a(z,u,w) * y = x. a(x,y,z) * T(u,w) = T(a(x,y,z) * u,w). T(a(x,y,z) * u,w) = a(x,y,z) * T(u,w). T(a(x,y,z) * K(u,u \ w),w) = K(u,u \ w) * a(x,y,z). T(x * a(y,z,u),w) = T(x,w) * a(y,z,u). (x * y) / T(a(z,u,w) * x,y) = (y * x) / (x * a(z,u,w)). (x * (y * a(z,u,w))) / T(a(z,u,w) * x,y) = R(y,a(z,u,w),x). a(x,y,z) \ T(u,w) = T(a(x,y,z) \ u,w). T(a(x,y,z) \ u,w) = a(x,y,z) \ T(u,w). T(a(x,y,z) \ u,T(w,a(v5,v6,v7))) = a(x,y,z) \ T(u,w). x != y \ T(z,u) | (y \ z) * K(z,u) = x. (a(x,y,z) \ u) * K(u,w) = T(a(x,y,z) \ u,T(w,a(v5,v6,v7))). T(a(x,y,z) \ u,T(w,a(v5,v6,v7))) = (a(x,y,z) \ u) * K(u,w). (x * y) / T(a(z,u,w) * x,y) != v5 | (a(z,u,w) * x) \ (x * y) = v5. (a(x,y,z) * u) \ (u * w) = (w * u) / (u * a(x,y,z)). (x * y) / (y * a(z,u,w)) = (a(z,u,w) * y) \ (y * x). x / (y * a(z,u,w)) != v5 | (y * ((a(z,u,w) * y) \ x)) / y = v5. (x * ((a(y,z,u) * x) \ (w * x))) / x = (a(y,z,u) * x) \ (x * w). K(a(x,y,z) \ u,w) = K(u,w). K(x * a(y,z,u),w) = K(x,w). K(x \ a(y,z,u),w) = K(x \ 1,w). (x * (y * a(z,u,w))) / T(a(z,u,w) * x,y) != v5 | L(y,a(z,u,w),x) = v5. L(x,a(y,z,u),w) = R(x,a(y,z,u),w). R(x,a(y,z,u),w) = L(x,a(y,z,u),w). (x * (a(y,z,u) * w)) / T(x * a(y,z,u),w) = R(w,a(y,z,u),x). R(T(a(x,y,z) \ u,w),a(x,y,z),w) != v5 | (a(x,y,z) * w) \ (u * w) = v5. (a(x,y,z) * u) \ (w * u) = L(T(a(x,y,z) \ w,u),a(x,y,z),u). L(T(a(x,y,z) \ u,w),a(x,y,z),w) = (a(x,y,z) * w) \ (u * w). L(x / a(y,z,u),a(y,z,u),x \ w) \ w = a(y,z,u) * (x \ w). a(x,a(y,z,u),w) = L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w). L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w) = a(x,a(y,z,u),w). L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w) != v5 | a(x,a(y,z,u),w) = v5. R(x,a(y,z,u),w) != v5 | L(x,a(y,z,u),w) = v5. L(a(x,y,z) \ u,a(x,y,z),u \ w) \ w = a(x,y,z) * (u \ w). R(a(x,a(y,z,u),w),v5,v6) = L(R(x \ L(x,a(y,z,u),w),v5,v6),x,a(y,z,u) * w). L(R(x \ L(x,a(y,z,u),w),v5,v6),x,a(y,z,u) * w) = R(a(x,a(y,z,u),w),v5,v6). T(x,y \ (((z * y) \ z) \ u)) != w | T(x,u) = w. T(x,((y * z) \ y) \ u) = T(x,z * L(u,w,v5)). T(x,(y \ (y * z)) * u) = T(x,z * L(u,w,v5)). T(x,y * z) = T(x,y * L(z,u,w)). T(x,y * L(z,u,w)) = T(x,y * z). L(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = (a(a(w,v5,v6),v7,v8) * ((z * u) * y)) \ ((z * (u * a(a(w,v5,v6),v7,v8))) * (y * x)). (a(a(x,y,z),u,w) * ((v5 * v6) * v7)) \ ((v5 * (v6 * a(a(x,y,z),u,w))) * (v7 * v8)) = L(v8,v7,v5 * (v6 * a(a(x,y,z),u,w))). (L(x \ L(x,y,z),u,w) \ 1) * (v5 * K(v6,v7)) = v5 * (L(x \ L(x,y,z),u,w) \ K(v6,v7)). L(x \ L(x,y,z),u,w) \ v5 = T(L(x \ L(x,y,z),u,w) \ v5,v5). T(L(x \ L(x,y,z),u,w) \ v5,v5) = L(x \ L(x,y,z),u,w) \ v5. T(x,T(y,z)) != u | K(x,z) * T(x * K(z,x),y) = u. K(L(x \ L(x,y,z),u,w) \ T(v5,v6),v6) * T((L(x \ L(x,y,z),u,w) \ T(v5,v6)) * K(v6,L(x \ L(x,y,z),u,w) \ T(v5,v6)),v5) = L(x \ L(x,y,z),u,w) \ T(v5,v6). T(L(x \ L(x,y,z),u,w) \ v5,T(v6,L(x \ L(x,y,z),u,w) \ v5)) = T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5). T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)) = K(L(x \ L(x,y,z),u,w) \ v5,v6) * T(L(x \ L(x,y,z),u,w) \ v5,v5). K(L(x \ L(x,y,z),u,w) \ v5,v6) * T(L(x \ L(x,y,z),u,w) \ v5,v5) = T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)). K(x,x \ L(y \ L(y,z,u),w,v5)) * T(L(y \ L(y,z,u),w,v5) \ v6,v6) = ((x \ L(y \ L(y,z,u),w,v5)) * x) \ v6. x != 1 * ((a(y,z,u) * w) * v5) | a(y,z,u) * ((w * v5) * a(a(y,z,u),w,v5)) = x. a(x,y,z) * ((u * w) * a(a(x,y,z),u,w)) = (u * a(x,y,z)) * w. x * ((y * a(z,u,w)) * v5) = x * ((a(z,u,w) * y) * v5). x * ((a(y,z,u) * w) * v5) = x * ((w * a(y,z,u)) * v5). L(x,(a(y,z,u) * w) * ((w * a(y,z,u)) * v5),v6) != v7 | L(x,L(v5,a(y,z,u) * w,a(y,z,u) * w),v6) = v7. x * R(a(a(y,z,u),w,v5) * (x \ 1),v6,v7) = (x \ R(x,v6,v7)) * a(a(y,z,u),w,v5). x * R(x \ a(a(y,z,u),w,v5),v6,v7) = (x \ R(x,v6,v7)) * a(a(y,z,u),w,v5). (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7) = x * R(x \ a(a(u,w,v5),v6,v7),y,z). (x * (y * z)) \ ((x * y) * (z * R(z \ ((x * y) \ (x * (y * z))),u,w))) = a(a(x,y,z),u,w). (x * (y * z)) \ ((x * y) * (z * R(z \ L(z,y,x),u,w))) = a(a(x,y,z),u,w). L(x \ a(a(y,z,u),w,v5),x,a(y,z,u)) = (x * a(y,z,u)) \ R(a(y,z,u),w,v5). (x * (a(a(y,z,u),w,v5) * v6)) \ (x * (a(a(y,z,u),w,v5) * (v6 * v7))) = L(v7,v6,x * a(a(y,z,u),w,v5)). L(L(x,y,a(a(z,u,w),v5,v6)),a(a(z,u,w),v5,v6) * y,v7) = L(x,y,v7 * a(a(z,u,w),v5,v6)). L(x,a(a(y,z,u),w,v5) * v6,v7) = L(x,v6,v7 * a(a(y,z,u),w,v5)). T(L(L(x \ L(x,y,z),x,u),u,L(x * L(x,y,z),x,u)) * u,L(x \ L(x,y,z),x,u)) = L(x,y,z) * (x \ u). (a(x,y,z) * (((u * u) \ a(x,y,z)) * L(a(x,y,z) \ w,v5,v6))) \ v7 = L(w * a(x,y,z),v5,v6) \ ((u * u) * v7). x != a(T(y,z) * u,w,v5) | a(y * u,w,v5) = x. a((x \ 1) * y,z,u) = a((x \ L(x \ 1,w,v5)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,v6),w,v5)) * y)),z,u). a((x \ L(x \ 1,y,z)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,u),y,z)) * w)),v5,v6) = a((x \ 1) * w,v5,v6). x != a((y \ 1) * z,u,w) | a(y * z,u,w) = x. a(x * y,z,u) = a((x \ L(x \ 1,w,v5)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,v6),w,v5)) * y)),z,u). a((x \ L(x \ 1,y,z)) \ ((x \ 1) * (((x \ 1) \ L(T(x \ 1,u),y,z)) * w)),v5,v6) = a(x * w,v5,v6). a((x \ L(x \ 1,y,z)) \ (x * ((x \ L(T(x \ 1,u),y,z)) * w)),v5,v6) = a(x * w,v5,v6). a((x * L(x,y,z)) \ (x * ((x \ L(T(x \ 1,u),y,z)) * w)),v5,v6) = a(x * w,v5,v6). T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5) != v7 | T(L(x \ L(x,y,z),u,w) \ v5,v6) = v7. T(L(x \ L(x,y,z),u,w) \ v5,T(v6,(x \ L(x,y,z)) \ v5)) = T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5). T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)) = T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5). T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5) = T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)). T(L(L(x \ L(x,y,z),u,L(x,y,z) * x),x,u) * u,L(x \ L(x,y,z),x,u)) = L(x,y,z) * (x \ u). T(L(L(x \ L(x,y,z),u,x * L(x,y,z)),x,u) * u,L(x \ L(x,y,z),x,u)) = L(x,y,z) * (x \ u). T(L(x \ L(x,y,z),x,u) * u,L(x \ L(x,y,z),x,u)) = L(x,y,z) * (x \ u). L(x \ L(x,y,z),x,u) * u = L(x,y,z) * (x \ u). a(L(x,y,z) * (x \ (u * w)),v5,v6) = a(L(x \ L(x,y,z),x,u * w) * (w * u),v5,v6). a(L(x \ L(x,y,z),x,u * w) * (w * u),v5,v6) = a(L(x,y,z) * (x \ (u * w)),v5,v6). L(x \ L(x,y,z),x,R(x,u,w)) * R(x,u,w) = L(x,y,z) * ((v5 * (x \ R(x,u,w))) / v5). a(L(x * L(x,y,z),x,u * w) * (w * u),v5,v6) = a(L(x,y,z) * (x \ (u * w)),v5,v6). L(x \ L(x,y,z),x,L(x,u,w)) * R(x,u,w) = L(x,y,z) * ((v5 * (x \ R(x,u,w))) / v5). (x \ L(x,y,z)) * R(x,u,w) = L(x,y,z) * ((v5 * (x \ R(x,u,w))) / v5). L(x,y,z) * ((u * (x \ R(x,w,v5))) / u) = (x \ L(x,y,z)) * R(x,w,v5). L(x,y,z) * (x \ R(x,u,w)) = (x \ L(x,y,z)) * R(x,u,w). (x \ L(x,y,z)) * R(x,u,w) = L(x,y,z) * (x \ R(x,u,w)). (a(x,y,z) * (a(x,y,z) * L(a(x,y,z) \ ((u * u) \ w),v5,v6))) \ v7 = L(w * a(x,y,z),v5,v6) \ ((u * u) * v7). L(a(x,y,z) * ((u * u) \ w),v5,v6) \ v7 = L(w * a(x,y,z),v5,v6) \ ((u * u) * v7). L(x,T(y,z),y \ L(y,u,w)) * ((y \ L(y,u,w)) * T(y,z)) = (y \ L(y,u,w)) * (x * T(y,z)). L(x,T(y,z),y * L(y,u,w)) * ((y \ L(y,u,w)) * T(y,z)) = (y \ L(y,u,w)) * (x * T(y,z)). L(x,y,y * L(y,z,u)) * ((y \ L(y,z,u)) * T(y,w)) = (y \ L(y,z,u)) * (x * T(y,w)). L(x,y,y * L(y,z,u)) * L(T(y,w),z,u) = (y \ L(y,z,u)) * (x * T(y,w)). L(x,y,y * L(y,z,u)) * L(T(y,w),z,u) != v5 | (x * (y \ L(y,z,u))) * T(y,w) = v5. (x * (y \ L(y,z,u))) * T(y,w) = (y \ L(y,z,u)) * (x * T(y,w)). (x * L(T(y,z),u,w)) \ ((y \ L(y,u,w)) * (x * T(y,z))) = a(x,y * L(y,u,w),y). a(x,y,y * L(y,z,u)) = a(x,y * L(y,z,u),y). a(x,y * L(y,z,u),y) = a(x,y,y * L(y,z,u)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),L(T(x,v5),y,z)) = L(L(T(x,v5),y,z),u,w) \ (L(x,y,z) * v5). T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),T(x,v5)) = L(L(T(x,v5),y,z),u,w) \ (L(x,y,z) * v5). x != L(L(T(y,z),u,w),v5,v6) \ (L(y,u,w) * v7) | L(y,u,w) * (L(L(T(y,z),u,w),v5,v6) \ v7) = x. L(x,y,z) * (L(L(T(x,u),y,z),w,v5) \ u) = T(L(x,y,z) * (L(L(x,y,z),w,v5) \ u),T(x,u)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),T(x,v5)) = L(x,y,z) * (L(L(T(x,v5),y,z),u,w) \ v5). x != L(y,z,u) * (L(L(T(y,w),z,u),v5,v6) \ w) | L(L(y,z,u),v5,v6) \ (w * L(y,z,u)) = x. L(L(x,y,z),u,w) \ (v5 * L(x,y,z)) = T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),T(x,v5)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ v5),T(x,v5)) = L(L(x,y,z),u,w) \ (v5 * L(x,y,z)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),L(x,y,z) \ 1) = L(L(x,y,z) \ 1,u,w) \ (L(x,y,z) \ x). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),x \ 1) = L(L(x,y,z) \ 1,u,w) \ (L(x,y,z) \ x). x != L(y \ 1,z,u) \ (y \ w) | y \ (L(1 / y,z,u) \ w) = x. L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x) = T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),x \ 1). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),x \ 1) = L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x). (x \ (y \ (z * (y * x)))) * (((y * x) \ (z * (y * x))) \ x) = T((x * z) / x,y * x) \ (y \ (z * (y * x))). (x \ (y \ (z * (y * x)))) * (T(z,y * x) \ x) = T((x * z) / x,y * x) \ (y \ (z * (y * x))). T((x * y) / x,z * x) \ (z \ (y * (z * x))) = (x \ (z \ (y * (z * x)))) * (T(y,z * x) \ x). T((x * y) / x,z * x) \ (z \ (y * (z * x))) != u | (z \ (y * (z * x))) / T(y,z * x) = u. (x \ (y * (x * z))) / T(y,x * z) = (z \ (x \ (y * (x * z)))) * (T(y,x * z) \ z). (x \ (y \ (z * (y * x)))) * (T(z,y * x) \ x) = (y \ (z * (y * x))) / T(z,y * x). L(((x \ (y \ (z * (y * x)))) \ 1) \ (T(z,y * x) \ x),x \ (y \ (z * (y * x))),x \ (y \ (z * (y * x)))) = (y \ (z * (y * x))) / T(z,y * x). a(((x * T(y,T(x * z,u))) \ (y * (x * z))) * w,v5,v6) = a(R(z,x,T(y,T(x * z,u))) * w,v5,v6). a(((x * y) \ (y * (x * z))) * u,w,v5) = a(R(z,x,T(y,T(x * z,v6))) * u,w,v5). a(R(x,y,T(z,T(y * x,u))) * w,v5,v6) = a(((y * z) \ (z * (y * x))) * w,v5,v6). a(R(x,y,T(z,T(y * x,u))) * w,v5,v6) = a(L(K(z,y) * x,y,z) * w,v5,v6). a(R(x,y,T(z,T(y * x,u))) * w,v5,v6) = a(K(z,y) * (L(x,y,z) * w),v5,v6). a(L(x,y,z) * u,w,v5) = a(R(x,y,T(z,T(y * x,v6))) * u,w,v5). a(R(x,y,T(z,T(y * x,u))) * w,v5,v6) = a(L(x,y,z) * w,v5,v6). a(R(x,y,z) * u,w,v5) = a(L(x,y,z) * u,w,v5). a(x * R(y,z,u),w,v5) = a(L(y,z,u) * T(x,v6),w,v5). a(L(x,y,z) * T(u,w),v5,v6) = a(u * R(x,y,z),v5,v6). a(R(x,y,z) * L(x \ L(x,u,w),y,z),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). a(x * L(y,z,u),w,v5) = a(x * R(y,z,u),w,v5). a(x * R(y,z,u),w,v5) = a(x * L(y,z,u),w,v5). a(x \ y,z,u) = a(y * L(x,x,y),z,u). a(x * L(y,y,x),z,u) = a(y \ x,z,u). a(x * R(L(y,z,u),w,v5),v6,v7) = a(x * L(L(y,w,v5),z,u),v6,v7). a((x * y) * R(L(z,y,x),u,w),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). a(L(x,x,y) * y,z,u) = a(x \ y,z,u). a(x * L(R(y,z,u),w,v5),v6,v7) = a(x * L(L(y,z,u),w,v5),v6,v7). a(x * (y * R(z,u,w)),v5,v6) = a(x * (y * L(z,u,w)),v5,v6). a(x * ((y * T(z,u)) * R(R(w,z,y),v5,v6)),v7,v8) != v9 | a(x * ((R(w,v5,v6) * T(z,u)) * y),v7,v8) = v9. a(x * ((R(y,z,u) * T(w,v5)) * v6),v7,v8) = a(x * ((v6 * T(w,v5)) * L(R(y,w,v6),z,u)),v7,v8). a(x * ((y * T(z,u)) * L(R(w,z,y),v5,v6)),v7,v8) = a(x * ((R(w,v5,v6) * T(z,u)) * y),v7,v8). a(x * (y * R(y \ (y \ z),u,w)),v5,v6) = a(x * (y \ L(z,u,w)),v5,v6). a(x * (y \ R(z,u,w)),v5,v6) = a(x * (y \ L(z,u,w)),v5,v6). a(x * (L(y,z,u) \ R(L(y,z,u),w,v5)),v6,v7) = a(x * L(y \ L(y,w,v5),z,u),v6,v7). a(x * (L(y,z,u) \ L(R(y,w,v5),z,u)),v6,v7) = a(x * L(y \ L(y,w,v5),z,u),v6,v7). a(x * L(y \ R(y,z,u),w,v5),v6,v7) = a(x * L(y \ L(y,z,u),w,v5),v6,v7). a(L(x \ R(x,y,z),u,w) * v5,v6,v7) = a(v5 * L(x \ L(x,y,z),u,w),v6,v7). a(x * L(y * L(y,z,u),w,v5),v6,v7) = a(L(y \ R(y,z,u),w,v5) * x,v6,v7). a(L(x \ R(x,y,z),u,w) * v5,v6,v7) = a(v5 * L(x * L(x,y,z),u,w),v6,v7). a(x * ((y * z) * L(R(u,z,y),w,v5)),v6,v7) = a(x * ((R(u,w,v5) * T(z,v8)) * y),v6,v7). a(x * ((R(y,z,u) * T(w,v5)) * v6),v7,v8) = a(x * ((v6 * w) * L(R(y,w,v6),z,u)),v7,v8). x != a(y * ((z * u) * L(R(w,u,z),v5,v6)),v7,v8) | a(y * ((L(w,v5,v6) * u) * z),v7,v8) = x. a(x * ((L(y,z,u) * w) * v5),v6,v7) = a(x * ((R(y,z,u) * T(w,v8)) * v5),v6,v7). a(x * ((R(y,z,u) * T(w,v5)) * v6),v7,v8) = a(x * ((L(y,z,u) * w) * v6),v7,v8). a(x * ((R(y,z,u) * w) * v5),v6,v7) = a(x * ((L(y,z,u) * w) * v5),v6,v7). a(x * ((R(y \ (y \ z),u,w) * y) * v5),v6,v7) != v8 | a(((y \ R(z,u,w)) * v5) * x,v6,v7) = v8. a(((x \ R(y,z,u)) * w) * v5,v6,v7) = a(v5 * ((L(x \ (x \ y),z,u) * x) * w),v6,v7). a(x * ((L(y \ (y \ z),u,w) * y) * v5),v6,v7) = a(((y \ R(z,u,w)) * v5) * x,v6,v7). a(x * ((L(y \ (y \ z),u,w) * y) * v5),v6,v7) != v8 | a(((y \ L(z,u,w)) * v5) * x,v6,v7) = v8. a(((x \ L(y,z,u)) * w) * v5,v6,v7) = a(((x \ R(y,z,u)) * w) * v5,v6,v7). a(((x \ R(y,z,u)) * w) * v5,v6,v7) = a(((x \ L(y,z,u)) * w) * v5,v6,v7). a((x * (y \ R(y,z,u))) * w,v5,v6) = a(((y \ L(y,z,u)) * x) * w,v5,v6). a(((x \ L(x,y,z)) * u) * w,v5,v6) = a((u * (x \ R(x,y,z))) * w,v5,v6). a(((x \ L(x,y,z)) * u) * w,v5,v6) != v7 | a(((x * L(x,y,z)) * u) * w,v5,v6) = v7. a(((x * L(x,y,z)) * u) * w,v5,v6) = a((u * (x \ R(x,y,z))) * w,v5,v6). K((x \ L(x,y,z)) \ u,w) * T(L(x \ L(x,y,z),v5,v6) \ u,u) = T(L(x \ L(x,y,z),v5,v6) \ u,T(w,u)). K((L(x,y,z) \ x) * u,w) * T(L(x \ L(x,y,z),v5,v6) \ u,u) = T(L(x \ L(x,y,z),v5,v6) \ u,T(w,u)). K((x \ x) * y,z) * T(L(x \ L(x,u,w),v5,v6) \ y,y) = T(L(x \ L(x,u,w),v5,v6) \ y,T(z,y)). K(x,y) * T(L(z \ L(z,u,w),v5,v6) \ x,x) = T(L(z \ L(z,u,w),v5,v6) \ x,T(y,x)). K(x,x \ (y \ L(y,z,u))) * T(L(y \ L(y,z,u),w,v5) \ v6,v6) = ((x \ L(y \ L(y,z,u),w,v5)) * x) \ v6. K(x,x \ (y \ y)) * T(L(y \ L(y,z,u),w,v5) \ v6,v6) = ((x \ L(y \ L(y,z,u),w,v5)) * x) \ v6. K(x,x \ 1) * T(L(y \ L(y,z,u),w,v5) \ v6,v6) = ((x \ L(y \ L(y,z,u),w,v5)) * x) \ v6. K(x,x \ 1) * (L(y \ L(y,z,u),w,v5) \ v6) = ((x \ L(y \ L(y,z,u),w,v5)) * x) \ v6. K(x,x \ 1) * (L(y \ L(y,z,u),w,v5) \ v6) = L((x \ (y \ L(y,z,u))) * x,w,v5) \ v6. (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = R(z * K(y,x),y,x) \ L(R(z * K(y,x),y,x),u,w). x != y \ L(R(z * K(u,w),v5,v6),v7,v8) | (y \ L(R(z,v5,v6),v7,v8)) * K(u,w) = x. (R(x * K(y,z),y,z) \ L(R(x,y,z),u,w)) * K(y,z) = (z * y) \ (((x * y) * z) * L(((x * y) * z) \ (z * y),u,w)). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = (R(z * K(y,x),y,x) \ L(R(z,y,x),u,w)) * K(y,x). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = (K(x,y) * (R(z,y,x) \ L(R(z,y,x),u,w))) * K(y,x). x != (K(y,z) * u) * w | K(y,z) * (u * w) = x. K(x,y) * ((R(z,y,x) \ L(R(z,y,x),u,w)) * K(y,x)) = (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = K(x,y) * ((R(z,y,x) \ L(R(z,y,x),u,w)) * K(y,x)). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = K(x,y) * (R(z,y,x) * L(R(z,y,x) \ K(y,x),u,w)). x != K(y,z) * (u * L(u \ K(z,y),w,v5)) | u \ L(u,w,v5) = x. R(x,y,z) \ L(R(x,y,z),u,w) = (z * y) \ (((x * y) * z) * L(((x * y) * z) \ (z * y),u,w)). (x * y) \ (((z * y) * x) * L(((z * y) * x) \ (x * y),u,w)) = R(z,y,x) \ L(R(z,y,x),u,w). (x * y) \ (x * ((z * y) * L((z * y) \ y,u,w))) = R(z,y,x) \ L(R(z,y,x),u,w). (x * y) \ (x * (z * (y * L(y \ (z \ y),u,w)))) = R(z,y,x) \ L(R(z,y,x),u,w). (x * y) \ (x * (y * (z \ L(z,u,w)))) = R(z,y,x) \ L(R(z,y,x),u,w). R(x,y,z) * L(x \ L(x,u,w),y,z) = L(R(x,y,z),u,w). L(x \ L(x,y,z),u,w) = R(x,u,w) \ L(R(x,u,w),y,z). R(x,y,z) \ L(R(x,y,z),u,w) = L(x \ L(x,u,w),y,z). R(x,y,z) \ L(R(x,y,z),u,w) != v5 | L(x \ L(x,u,w),y,z) = v5. a(L(R(x,y,z),u,w),v5,v6) = a(L(L(x,y,z),u,w),v5,v6). x != a(L(y,z,y),u,w) | a(y,u,w) = x. a(L(x,y,z),u,w) = a(L(R(x,y,z),v5,L(x,y,z)),u,w). a(L(R(x,y,z),u,L(x,y,z)),w,v5) = a(L(x,y,z),w,v5). a(R(x,y,z),u,w) = a(L(x,y,z),u,w). a((x * y) \ ((x * z) * y),u,w) = a(L(z,x,y),u,w). a(L(x,y,z),u,w) != v5 | a((y * z) \ ((y * x) * z),u,w) = v5. a((x * y) \ (z * y),u,w) = a(L(x \ z,x,y),u,w). a(L(x \ y,x,z),u,w) = a((x * z) \ (y * z),u,w). R(x,y,z) \ L(R(x,y,z),u,w) != v5 | (y * z) \ ((y * (x \ L(x,u,w))) * z) = v5. (x * y) \ ((x * (z \ L(z,u,w))) * y) = L(z \ L(z,u,w),x,y). a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a((R(x,u,w) * L(R(x,u,w),y,z)) \ v5,v6,v7). a((R(x,y,z) * L(R(x,y,z),u,w)) \ v5,v6,v7) = a(L(x \ L(x,u,w),y,z) \ v5,v6,v7). L(x \ L(x,y,z),u,w) \ 1 = L(R(x,u,w),y,z) \ R(x,u,w). L(R(x,y,z),u,w) \ R(x,y,z) = L(x \ L(x,u,w),y,z) \ 1. R(T(x \ L(x,y,z),u * w),u,w) = L(x \ L(x,y,z),u,w). x \ y != R(T(z \ L(z,u,w),v5 * v6),v5,v6) | x * L(z \ L(z,u,w),v5,v6) = y. (x * y) * L(z \ L(z,u,w),x,y) = ((z \ L(z,u,w)) * x) * y. R(x \ L(x,y,z),u,w) = L(x \ L(x,y,z),u,w). R(x * (x * L(x \ L(x,y,z),u,w)),v5,v6) = (x * x) * L(L(x \ L(x,y,z),v5,v6),u,w). (x * (y * z)) \ ((x * y) * (z * L(z \ L(z,y,x),u,w))) = a(a(x,y,z),u,w). x * (L(x,y,z) \ ((x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w))) = L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)). L(x,((y * z) \ ((y * u) * z)) \ (L(u \ L(u,w,v5),y,z) \ 1),v6) = L(x,L(R(u,y,z),w,v5) \ 1,v6). x * (T(y,x) * (z \ L(z,u,w))) = ((z \ L(z,u,w)) * y) * x. (((x \ L(x,y,z)) * u) * w) \ ((x \ L(x,y,z)) * (u * w)) = a(w,T(u,w),x * L(x,y,z)). (x * (y * z)) \ ((x * y) * (z * L(z \ L(z,y,x),u,w))) != v5 | a(x,y,z) \ L(a(x,y,z),u,w) = v5. a(x,y,z) \ L(a(x,y,z),u,w) = a(a(x,y,z),u,w). x \ y != (z * (u * w)) \ ((z * u) * (w * L(w \ L(w,u,z),v5,v6))) | x * a(a(z,u,w),v5,v6) = y. a(x,y,z) * a(a(x,y,z),u,w) = L(a(x,y,z),u,w). a(x,y,z) \ u != a(a(x,y,z),w,v5) | R(a(x,y,z),w,v5) = u. R(a(x,y,z),u,w) = L(a(x,y,z),u,w). x * y != a(z,u,w) \ L(a(z,u,w),v5,v6) | x \ a(a(z,u,w),v5,v6) = y. a(x,y,z) \ a(a(x,y,z),u,w) = L(a(x,y,z) \ 1,u,w). a(a(x,y,z),u,w) \ 1 = L(a(x,y,z),u,w) \ a(x,y,z). L(a(x,y,z),u,w) \ a(x,y,z) = a(a(x,y,z),u,w) \ 1. a(a(x,y,z),u,w) \ 1 != v5 | L(a(x,y,z),u,w) \ a(x,y,z) = v5. a(a(x,y,z),u,w) * a(a(v5,v6,v7),v8,v9) = L(a(x,y,z),u,w) * (a(x,y,z) \ a(a(v5,v6,v7),v8,v9)). L(a(x,y,z),u,w) * (a(x,y,z) \ a(a(v5,v6,v7),v8,v9)) = a(a(x,y,z),u,w) * a(a(v5,v6,v7),v8,v9). R(a(x,a(y,z,u),w),v5,v6) != v7 | L(R(x \ L(x,a(y,z,u),w),v5,v6),x,a(y,z,u) * w) = v7. L(R(x \ L(x,a(y,z,u),w),v5,v6),x,a(y,z,u) * w) = L(a(x,a(y,z,u),w),v5,v6). R(a(x,y,z),u,w) = L(R(x \ R(x,y,z),x,y * z),u,w). L(R(x \ R(x,y,z),x,y * z),u,w) = R(a(x,y,z),u,w). L(x \ a(a(y,z,u),w,v5),x,a(y,z,u)) = (x * a(y,z,u)) \ L(a(y,z,u),w,v5). x * y != a(z,u,w) * a(a(z,u,w),v5,v6) | x \ L(a(z,u,w),v5,v6) = y. x \ L(a(y,z,u),w,v5) = (x \ a(y,z,u)) * a(a(y,z,u),w,v5). (x \ a(y,z,u)) * a(a(y,z,u),w,v5) = x \ L(a(y,z,u),w,v5). (x \ (x * a(y,z,u))) * a(a(y,z,u),w,v5) = L(a(y,z,u),w,v5). a(L(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),v5,v6). a((x * (y * z)) * ((x * y) * z),u,w) = a(a(x,y,z),u,w). a(a(x,y,z),u,w) \ 1 = L(a(a(x,y,z),u,w) \ 1,v5,v6). L(a(a(x,y,z),u,w) \ 1,v5,v6) = a(a(x,y,z),u,w) \ 1. L(a(a(x,y,z),u,w) \ 1,L(a(x,y,z),u,w),w * u) = (w * (u * a(x,y,z))) \ ((w * u) * a(x,y,z)). L(R(x,y,z),u,w) != v5 | R(L(x,u,w),y,z) = v5. R(L(x \ R(x,y,z),u,w),x,y * z) = R(a(x,y,z),u,w). R(x,y,z * u) != R(a(y,z,u),w,v5) | R(y \ R(y,z,u),w,v5) = x. R(x \ R(x,y,z),u,w) = L(x \ R(x,y,z),u,w). (x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w) = x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)). R(x,y,z) \ (x * L(x \ R(x,y,z),u,w)) = R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)). x * y != (z \ a(u,w,v5)) * a(a(u,w,v5),v6,v7) | x \ (z \ L(a(u,w,v5),v6,v7)) = y. x \ (y \ L(a(z,u,w),v5,v6)) = (x \ (y \ a(z,u,w))) * a(a(z,u,w),v5,v6). (x \ (y \ a(z,u,w))) * a(a(z,u,w),v5,v6) = x \ (y \ L(a(z,u,w),v5,v6)). a((((x \ y) / T(y,z)) * L(R(x \ K(z,y),x,y),u,w)) \ v5,v6,v7) = a(L((x \ K(z,y)) \ L(x \ K(z,y),u,w),x,y) \ v5,v6,v7). x != (y * y) * L(z,u,w) | L((y * y) * z,u,w) = x. L((x * x) * L(x \ L(x,y,z),u,w),v5,v6) = R(x * (x * L(x \ L(x,y,z),v5,v6)),u,w). R(x * (x * L(x \ L(x,y,z),u,w)),v5,v6) = L((x * x) * L(x \ L(x,y,z),v5,v6),u,w). (((x \ L(x,y,z)) * u) * w) \ ((x \ L(x,y,z)) * (u * w)) != v5 | a(w,u,x * L(x,y,z)) = v5. x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w)) = x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)). x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)) = x \ (R(x,y,z) * L(R(x,y,z) \ x,u,w)). R(x * (x * L(x \ L(x,y,z),u,w)),v5,v6) = L(L((x * x) * (x \ L(x,y,z)),v5,v6),u,w). R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)) = x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)). x \ (R(x,y,z) * R(R(x,y,z) \ x,u,w)) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). R(x * (x * L(x \ L(x,y,z),u,w)),v5,v6) = L(L(x * L(x,y,z),v5,v6),u,w). R(L(x * L(x,y,z),u,w),v5,v6) = L(L(x * L(x,y,z),v5,v6),u,w). R(x * L(x,y,z),u,w) = L(x * L(x,y,z),u,w). L(x * L(x,y,z),x * L(x,y,z),u) * u = (1 / (x * L(x,y,z))) \ u. L(x * L(x,y,z),u,w) * (w * u) = ((x * L(x,y,z)) * u) * T(w,u). L(x * L(x,y,z),x * L(x,y,z),u) * u = (x \ (L(x,y,z) \ 1)) \ u. R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). R(x,y,z) * (x \ R(R(x,y,z) \ x,u,w)) != v5 | R(x,y,z) \ (x * L(x \ R(x,y,z),u,w)) = v5. R(x,y,z) \ (x * L(x \ R(x,y,z),u,w)) = R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)). L(a(x,y,z),u,w) * (a(x,y,z) \ L(a(a(v5,v6,v7),v8,v9),v10,v11)) = a(a(x,y,z),u,w) * a(a(v5,v6,v7),v8,v9). L(x,y \ (z \ 1),u) != w | L(x,y \ z,u) = w. L(x,((y * z) \ ((y * u) * z)) \ L(u \ L(u,w,v5),y,z),v6) = L(x,L(R(u,y,z),w,v5) \ 1,v6). L(x,R(y,z,u) \ L(y \ L(y,w,v5),z,u),v6) = L(x,L(R(y,z,u),w,v5) \ 1,v6). L(x,R(y,z,u) \ w,v5) != v6 | L(x,L(y,z,u) \ w,v5) = v6. L(x,L(y,z,u) \ L(y \ L(y,w,v5),z,u),v6) = L(x,L(R(y,z,u),w,v5) \ 1,v6). L(x,L(L(y,z,u) \ 1,w,v5),v6) = L(x,L(R(y,z,u),w,v5) \ 1,v6). L(x,L(y \ 1,z,u),w) != v5 | L(x,L(y,z,u),w) = v5. L(x,L(L(y,z,u),w,v5),v6) = L(x,L(R(y,z,u),w,v5) \ 1,v6). L(x,L(R(y,z,u),w,v5) \ 1,v6) = L(x,L(L(y,z,u),w,v5),v6). L(x,L(R(y,z,u),w,v5),v6) = L(x,L(L(y,z,u),w,v5),v6). L(x,L(R(y,z,u),y,y),w) != v5 | L(x,R(y,z,u),w) = v5. L(x,R(y,z,u),w) = L(x,L(L(y,z,u),y,y),w). L(x,L(L(y,z,u),y,y),w) = L(x,R(y,z,u),w). L(x,L(L(y,z,u),y,y),w) != v5 | L(x,L(y,z,u),w) = v5. L(x,L(y,z,u),w) = L(x,R(y,z,u),w). L(x,R(y,z,u),w) = L(x,L(y,z,u),w). L(x,R((y \ 1) * z,u,w),v5) != v6 | L(x,R(y * z,u,w),v5) = v6. L(x,R(y * z,u,w),v5) = L(x,L((y \ 1) * z,u,w),v5). L(x,L((y \ 1) * z,u,w),v5) = L(x,R(y * z,u,w),v5). L(x,L(y,z,u) \ L(w,L(y,z,u),L(y,z,u)),v5) = L(x,R(y,z,u) * w,v5). x != L(y,R(z,u,w),v5) | L(y,L(z,u,w),v5) = x. L(x,L(y * z,u,w),v5) = L(x,L((y \ 1) * z,u,w),v5). L(x,L((y \ 1) * z,u,w),v5) = L(x,L(y * z,u,w),v5). L(x,(L(y,z,u) \ 1) * w,v5) = L(x,R(y,z,u) * w,v5). L(x,L(y,z,u) * w,v5) = L(x,R(y,z,u) * w,v5). L(x,R(y,z,u) * w,v5) = L(x,L(y,z,u) * w,v5). L(x,y * R(z,u,w),v5) = L(x,L(z,u,w) * (y \ 1),v5). L(x,L(y,z,u) * (w \ 1),v5) = L(x,w * R(y,z,u),v5). L(x,y * L(z,u,w),v5) = L(x,y * R(z,u,w),v5). L(x,y * R(z,u,w),v5) = L(x,y * L(z,u,w),v5). L((x \ R(x,y,z)) \ u,x * R(x,y,z),x * L(x,y,z)) != w | ((x \ R(x,y,z)) \ 1) * u = w. ((x \ R(x,y,z)) \ 1) * u = L((x \ R(x,y,z)) \ u,x * L(x,y,z),x * L(x,y,z)). L((x \ R(x,y,z)) \ u,x * L(x,y,z),x * L(x,y,z)) = ((x \ R(x,y,z)) \ 1) * u. L(x,(y * z) * R(L(u,z,y),w,v5),v6) = L(x,y * (z * L(u,w,v5)),v6). L(x,y * R(y \ (y \ z),u,w),v5) = L(x,y \ L(z,u,w),v5). L(x,y \ R(z,u,w),v5) = L(x,y \ L(z,u,w),v5). R(x,y,z) \ (u * w) = L((u \ R(x,y,z)) \ w,u \ L(x,y,z),u). L((x \ R(y,z,u)) \ w,x \ L(y,z,u),x) = R(y,z,u) \ (x * w). L((x \ R(x,y,z)) \ u,x * L(x,y,z),x) = R(x,y,z) \ (x * u). L(x,y * L(y,z,u),y) != w | L(x,y,y * L(y,z,u)) = w. L((x \ R(x,y,z)) \ u,x,x * L(x,y,z)) = R(x,y,z) \ (x * u). L(x,y * (z * R(u,w,v5)),v6) = L(x,y * (z * L(u,w,v5)),v6). L(x,((y * z) * u) * ((y * z) * R(u,z,y)),w) != v5 | L(x,L(a(u,z,y),(y * z) * u,(y * z) * u),w) = v5. L(x,L(a(y,z,u),(u * z) * y,(u * z) * y),w) = L(x,((u * z) * y) * ((u * z) * L(y,z,u)),w). L((x \ R(x,y,z)) \ u,x * L(x,y,z),x * L(x,y,z)) = (R(x,y,z) \ x) * u. L(x,L(a(y,z,u),(u * z) * y,(u * z) * y),w) = L(x,((u * z) * y) * (u * (z * y)),w). x != L(y,z * u,w) | L(y,u * z,w) = x. L(x,(y * (z * u)) * ((y * z) * u),w) = L(x,L(a(u,z,y),(y * z) * u,(y * z) * u),w). L(x,L(a(y,z,u),(u * z) * y,(u * z) * y),w) = L(x,(u * (z * y)) * ((u * z) * y),w). L(a(a(x,y,z),u,w) \ 1,v5,v6) != v7 | a(a(x,y,z),u,w) \ 1 = v7. a(a(x,y,z),u,w) \ 1 = (w * (u * a(x,y,z))) \ ((w * u) * a(x,y,z)). (x * (y * a(z,u,w))) \ ((x * y) * a(z,u,w)) = a(a(z,u,w),y,x) \ 1. a(a(x,y,z),u,w) * a(w,u,a(x,y,z)) = 1. a(x,y,a(z,u,w)) = a(a(z,u,w),y,x) \ 1. a(a(x,y,z),u,w) \ 1 = a(w,u,a(x,y,z)). a(x,y,a(z,u,w)) \ 1 != v5 | a(a(z,u,w),y,x) = v5. L(a(x,y,z),u,w) \ a(x,y,z) = a(w,u,a(x,y,z)). x \ y != a(a(z,u,w),v5,v6) \ 1 | x * a(v6,v5,a(z,u,w)) = y. L(a(x,y,z),u,w) * a(w,u,a(x,y,z)) = a(x,y,z). L(x,y,a(z,u,a(w,v5,v6))) = x. a(a(x,y,a(z,u,w)),v5,v6) = 1. x * a(y,z,a(u,w,v5)) = a(a(u,w,v5),z,y) \ x. a(a(x,y,z),u,w) \ v5 = v5 * a(w,u,a(x,y,z)). L(x,a(y,z,a(u,w,v5)),v6) = x. a(x,y,a(z,u,w)) * (v5 * v6) = (a(x,y,a(z,u,w)) * v5) * v6. (a(x,y,a(z,u,w)) * v5) * v6 = a(x,y,a(z,u,w)) * (v5 * v6). x \ (a(y,z,a(u,w,v5)) \ v6) = (a(y,z,a(u,w,v5)) * x) \ v6. (a(x,y,a(z,u,w)) * v5) \ v6 = v5 \ (a(x,y,a(z,u,w)) \ v6). x \ y != L(z,u,a(w,v5,a(v6,v7,v8))) | x * z = y. a(x,y,a(z,u,w)) * v5 = a(x,y,a(z,u,w)) / (v5 \ 1). a(x,y,a(z,u,w)) / (v5 \ 1) = a(x,y,a(z,u,w)) * v5. L(x,y,a(z,u,a(w,v5,v6))) != v7 | x = v7. (a(x,y,a(z,u,w)) * v5) / v6 = a(x,y,a(z,u,w)) * (v5 / v6). x * (y * a(z,u,a(w,v5,v6))) = (x * y) * a(z,u,a(w,v5,v6)). (x * y) * a(z,u,a(w,v5,v6)) = x * (y * a(z,u,a(w,v5,v6))). a(a(x,y,a(z,u,w)),v5,v6) * v7 != 1 | 1 = v7. 1 = a(x,y,a(z,u,a(w,v5,v6))). a(x,y,a(z,u,a(w,v5,v6))) = 1. x * (a(y,z,a(u,w,v5)) * v6) = (x * a(y,z,a(u,w,v5))) * v6. (x * a(y,z,a(u,w,v5))) * v6 = x * (a(y,z,a(u,w,v5)) * v6). a(x,y,a(z,u,w)) \ (v5 \ v6) = (v5 * a(x,y,a(z,u,w))) \ v6. (x * a(y,z,a(u,w,v5))) \ v6 = a(y,z,a(u,w,v5)) \ (x \ v6). x \ y != L(z,a(u,w,a(v5,v6,v7)),v8) | x * z = y. x * (a(y,z,a(u,w,v5)) \ v6) = (a(y,z,a(u,w,v5)) \ x) * v6. (a(x,y,a(z,u,w)) \ v5) * v6 = v5 * (a(x,y,a(z,u,w)) \ v6). (x * a(y,z,a(u,w,v5))) * v6 != v7 | x * (a(y,z,a(u,w,v5)) * v6) = v7. a(x,y,z) * (u * a(w,v5,a(v6,v7,v8))) = u * (a(w,v5,a(v6,v7,v8)) * a(x,y,z)). L(a(x,y,a(z,u,w)),v5,v6) = a(x,y,a(z,u,w)). x \ (a(y,z,a(u,w,v5)) * v6) != v7 | (a(y,z,a(u,w,v5)) \ x) \ v6 = v7. x \ y != L(a(z,u,a(w,v5,v6)),v7,v8) | x * a(z,u,a(w,v5,v6)) = y. x * a(y,z,a(u,w,v5)) = v6 * ((v6 \ x) * a(y,z,a(u,w,v5))). x * ((x \ y) * a(z,u,a(w,v5,v6))) = y * a(z,u,a(w,v5,v6)). x * y != L(a(z,u,a(w,v5,v6)),v7,v8) | x \ a(z,u,a(w,v5,v6)) = y. x \ a(y,z,a(u,w,v5)) = (x \ 1) * a(y,z,a(u,w,v5)). (x \ 1) * a(y,z,a(u,w,v5)) = x \ a(y,z,a(u,w,v5)). a(x,y,a(z,u,w)) != L(v5,v6,v7) | a(x,y,a(z,u,w)) = v5. L(x,y,z) != a(u,w,a(v5,v6,v7)) | a(u,w,a(v5,v6,v7)) = x. x \ (y * a(z,u,a(w,v5,v6))) = (x \ y) * a(z,u,a(w,v5,v6)). (x * y) * a(z,u,a(w,v5,v6)) != v7 | x * (y * a(z,u,a(w,v5,v6))) = v7. a(x,y,a(z,u,w)) * (v5 * v6) = v5 * (v6 * a(x,y,a(z,u,w))). L(x,y,a(z,u,w)) = x * a(x,y,a(z,u,w)). x * a(x,y,a(z,u,w)) = L(x,y,a(z,u,w)). a(a(x,y,z),u,w) * (v5 * a(w,u,a(x,y,z))) = v5. x * y != a(a(z,u,w),v5,v6) \ v6 | x \ L(v6,v5,a(z,u,w)) = y. x \ L(x,y,a(z,u,w)) = a(x,y,a(z,u,w)). (x * a(a(y,z,u),w,v5)) \ v6 = x \ (v6 * a(v5,w,a(y,z,u))). x * a(x,y,a(z,u,w)) != v5 | L(x,y,a(z,u,w)) = v5. a(x,y,a(z,u,w)) * x = L(x,y,a(z,u,w)). x != L(y,z,a(u,w,v5)) | R(y,z,a(u,w,v5)) = x. R(x,y,a(z,u,w)) = x * a(x,y,a(z,u,w)). x * a(x,y,a(z,u,w)) = R(x,y,a(z,u,w)). x \ L(x,y,a(z,u,w)) != v5 | a(x,y,a(z,u,w)) = v5. L(L(a(x,y,a(z,u,w)) \ v5,a(x,y,a(z,u,w)),x),L(x,y,a(z,u,w)),v6) = (v6 * (x * a(x,y,a(z,u,w)))) \ (v6 * (x * v5)). a(x,y,a(z,u,w)) * (x \ v5) = v5 * L(v5 \ (x \ v5),y,a(z,u,w)). x * R(L(x \ a(x,y,a(z,u,w)),v5,v6),v7,v8) = R(L(L(x,v5,v6),y,a(z,u,w)),v7,v8) * (x \ 1). R(L(L(x,y,z),u,a(w,v5,v6)),v7,v8) * (x \ 1) = x * R(L(x \ a(x,u,a(w,v5,v6)),y,z),v7,v8). L(a(x,y,a(z,u,w)),v5,v6) \ 1 = a(a(z,u,w),y,L(x,v5,v6)). R(x,y,a(z,u,w)) = a(x,y,a(z,u,w)) * x. a(x,y,a(z,u,w)) * x = R(x,y,a(z,u,w)). (x * (y * z)) \ (x * (y * R(z,u,a(w,v5,v6)))) = L(L(a(z,u,a(w,v5,v6)),z,y),y * z,x). L(L(a(x,y,a(z,u,w)),x,v5),v5 * x,v6) = (v6 * (v5 * x)) \ (v6 * (v5 * R(x,y,a(z,u,w)))). (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,a(w,v5,v6))) = L(a(L(z,y,x),u,a(w,v5,v6)),L(z,y,x),x * y). x \ L(R(x,y,a(z,u,w)),v5,v6) = x * L(x \ a(x,y,a(z,u,w)),v5,v6). x * L(x \ a(x,y,a(z,u,w)),v5,v6) = x \ L(R(x,y,a(z,u,w)),v5,v6). x * (y \ a(a(z,u,w),v5,v6)) != v7 | a(a(z,u,w),v5,v6) * (x * (y \ 1)) = v7. a(a(x,y,z),u,w) * (a(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)) * (v5 \ 1)) = R(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)). a(x,y,z) = a(x * a(u,w,a(v5,v6,v7)),y,z). a(x * a(y,z,a(u,w,v5)),v6,v7) = a(x,v6,v7). x * y != L(a(z,u,w),v5,v6) \ a(z,u,w) | x \ a(v6,v5,a(z,u,w)) = y. a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z),w,u) \ 1. a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z) \ 1,w,u) \ 1. L(L(a(x,y,z),u,w) \ a(x,y,z),v5,v6) = a(w,u,a(x,y,z)). R(x,a(y,z,a(u,w,v5)) * v6,v7) = R(x,(v6 \ 1) \ a(y,z,a(u,w,v5)),v7). R(x,(y \ 1) \ a(z,u,a(w,v5,v6)),v7) = R(x,a(z,u,a(w,v5,v6)) * y,v7). a(x,y,a(z,u,w)) * (v5 \ 1) = v5 \ a(x,y,a(z,u,w)). R(a(x,y,a(z,u,w)) * v5,v6,v7) = ((a(x,y,a(z,u,w)) * (v5 * v6)) * v7) / (v6 * v7). ((a(x,y,a(z,u,w)) * (v5 * v6)) * v7) / (v6 * v7) = R(a(x,y,a(z,u,w)) * v5,v6,v7). (x * a(y,z,a(u,w,v5))) \ v6 = x \ (a(y,z,a(u,w,v5)) \ v6). a((x * (y \ (a(z,u,a(w,v5,v6)) \ 1))) \ v7,v8,v9) = a((x * (a(z,u,a(w,v5,v6)) * y)) \ v7,v8,v9). (x \ a(y,z,a(u,w,v5))) \ v6 = (x \ 1) \ (a(y,z,a(u,w,v5)) \ v6). (x \ 1) \ (a(y,z,a(u,w,v5)) \ v6) = (x \ a(y,z,a(u,w,v5))) \ v6. (x * (y \ 1)) * a(z,u,a(w,v5,v6)) = x * (y \ a(z,u,a(w,v5,v6))). R(x,y,a(z,u,w)) * v5 = x * (a(x,y,a(z,u,w)) * v5). x * (a(x,y,a(z,u,w)) * v5) = R(x,y,a(z,u,w)) * v5. R(x,y,a(z,u,w)) \ v5 = a(x,y,a(z,u,w)) \ (x \ v5). a(x,y,a(z,u,w)) \ (x \ v5) = R(x,y,a(z,u,w)) \ v5. x != y * L(y \ z,u,w) | T(y,v5) * L(T(y,v5) \ z,u,w) = x. T(R(x,y,a(z,u,w)),v5) * L(T(R(x,y,a(z,u,w)),v5) \ v6,v7,v8) = x * (a(x,y,a(z,u,w)) * L(R(x,y,a(z,u,w)) \ v6,v7,v8)). (R(x,y,a(z,u,w)) \ v5) * a(x,y,a(z,u,w)) = x \ v5. a(x,y,a(z,u,w)) \ (x \ v5) != v6 | R(x,y,a(z,u,w)) \ v5 = v6. (x \ a(y,z,a(u,w,v5))) \ v6 = a(y,z,a(u,w,v5)) \ ((x \ 1) \ v6). a(x,y,a(z,u,w)) \ ((v5 \ 1) \ v6) = (v5 \ a(x,y,a(z,u,w))) \ v6. a(x,a(y,z,a(u,w,v5)) \ v6,v7) = (x * (v6 * (a(y,z,a(u,w,v5)) \ v7))) \ ((x * (a(y,z,a(u,w,v5)) \ v6)) * v7). (x * (y * (a(z,u,a(w,v5,v6)) \ v7))) \ ((x * (a(z,u,a(w,v5,v6)) \ y)) * v7) = a(x,a(z,u,a(w,v5,v6)) \ y,v7). R(x,a(y,z,a(u,w,v5)) \ v6,v7) = ((x * (a(y,z,a(u,w,v5)) \ v6)) * v7) / (v6 * (a(y,z,a(u,w,v5)) \ v7)). ((x * (a(y,z,a(u,w,v5)) \ v6)) * v7) / (v6 * (a(y,z,a(u,w,v5)) \ v7)) = R(x,a(y,z,a(u,w,v5)) \ v6,v7). R(x,a(y,z,a(u,w,v5)) \ v6,(v6 * (a(y,z,a(u,w,v5)) \ (a(y,z,a(u,w,v5)) \ v6))) \ v7) = R(x,(a(y,z,a(u,w,v5)) \ v6) \ 1,v7). a(x,y,a(z,u,w)) * v5 = v6 * ((v6 \ v5) * a(x,y,a(z,u,w))). x * ((x \ y) * a(z,u,a(w,v5,v6))) = a(z,u,a(w,v5,v6)) * y. x \ (a(y,z,a(u,w,v5)) * v6) = (x \ v6) * a(y,z,a(u,w,v5)). x * y != z * a(z,u,a(w,v5,v6)) | x \ L(z,u,a(w,v5,v6)) = y. x \ L(y,z,a(u,w,v5)) = (x \ y) * a(y,z,a(u,w,v5)). (x \ y) * a(y,z,a(u,w,v5)) = x \ L(y,z,a(u,w,v5)). x * y != (a(z,u,w) \ v5) * a(z,u,w) | x \ v5 = y. x \ y = (x \ (a(z,u,a(w,v5,v6)) \ y)) * a(z,u,a(w,v5,v6)). (x \ (a(y,z,a(u,w,v5)) \ v6)) * a(y,z,a(u,w,v5)) = x \ v6. x \ (y * a(z,u,a(w,v5,v6))) != v7 | (x \ y) * a(z,u,a(w,v5,v6)) = v7. a(x,y,a(z,u,w)) * (v5 \ x) = v5 \ L(x,y,a(z,u,w)). a(L(x,y,a(z,u,w)),v5,a(v6,v7,v8)) * a(x,y,a(z,u,w)) = x \ L(L(x,y,a(z,u,w)),v5,a(v6,v7,v8)). x * (L(x,y,z) \ a(u,w,a(v5,v6,v7))) = (L(x,y,z) \ x) * a(u,w,a(v5,v6,v7)). (L(x,y,z) \ x) * a(u,w,a(v5,v6,v7)) = x * (L(x,y,z) \ a(u,w,a(v5,v6,v7))). (x \ L(x,y,z)) * a(u,w,a(v5,v6,v7)) != v8 | L(x,y,z) * (x \ a(u,w,a(v5,v6,v7))) = v8. x * (a(y,z,a(u,w,v5)) * v6) = a(y,z,a(u,w,v5)) * (x * v6). a(x,y,a(z,u,w)) * (v5 * v6) = v5 * (a(x,y,a(z,u,w)) * v6). a(x,y,z) * (u * a(w,v5,a(v6,v7,v8))) != v9 | a(w,v5,a(v6,v7,v8)) * (u * a(x,y,z)) = v9. x != y \ (z * a(u,w,a(v5,v6,v7))) | (y \ z) * a(u,w,a(v5,v6,v7)) = x. (x \ y) * a(z,u,a(w,v5,v6)) = (x * a(a(w,v5,v6),u,z)) \ y. (x * a(a(y,z,u),w,v5)) \ v6 = (x \ v6) * a(v5,w,a(y,z,u)). a(x,y,a(z,u,w)) \ 1 = a(a(z,u,w),y,L(x,v5,v6)). a(a(x,y,z),u,L(w,v5,v6)) = a(w,u,a(x,y,z)) \ 1. a(a(x,y,z),u,w) = a(a(x,y,z),u,L(w,v5,v6)). a(a(x,y,z),u,L(w,v5,v6)) = a(a(x,y,z),u,w). x \ y != (z * a(u,w,a(v5,v6,v7))) \ v8 | x * (z \ (a(u,w,a(v5,v6,v7)) \ v8)) = y. a(x,y,a(z,u,w)) * (v5 \ (a(x,y,a(z,u,w)) \ v6)) = v5 \ v6. x * y != z * ((z \ u) * a(w,v5,a(v6,v7,v8))) | x \ (a(w,v5,a(v6,v7,v8)) * u) = y. x \ (a(y,z,a(u,w,v5)) * v6) = a(y,z,a(u,w,v5)) * (x \ v6). x \ (a(y,z,a(u,w,v5)) * v6) != v7 | (x \ v6) * a(y,z,a(u,w,v5)) = v7. a(x \ y,z,u) = a(x \ (a(w,v5,a(v6,v7,v8)) \ y),z,u). a(x \ (a(y,z,a(u,w,v5)) \ v6),v7,v8) = a(x \ v6,v7,v8). a(x,y,a(z,u,w)) \ (v5 * v6) = v5 * (a(x,y,a(z,u,w)) \ v6). x * y != a(z,u,a(w,v5,v6)) * (v7 * v8) | x \ (v7 * (a(z,u,a(w,v5,v6)) * v8)) = y. x \ (y * (a(z,u,a(w,v5,v6)) * v7)) = (x \ (y * v7)) * a(z,u,a(w,v5,v6)). L(a(x,y,a(z,u,w)) * v5,v6,v7) = (v7 * v6) \ (v7 * (a(x,y,a(z,u,w)) * (v6 * v5))). (x * y) \ (x * (a(z,u,a(w,v5,v6)) * (y * v7))) = L(a(z,u,a(w,v5,v6)) * v7,y,x). a(x,y,a(z,u,w)) * v5 = (a(v6,v7,v8) \ v5) * (a(x,y,a(z,u,w)) * a(v6,v7,v8)). (a(x,y,z) \ u) * (a(w,v5,a(v6,v7,v8)) * a(x,y,z)) = a(w,v5,a(v6,v7,v8)) * u. (x * (a(y,z,a(u,w,v5)) * v6)) * v7 = a(y,z,a(u,w,v5)) * ((x * v6) * v7). (x * (a(y,z,a(u,w,v5)) * v6)) \ v7 = (x * v6) \ (a(y,z,a(u,w,v5)) \ v7). x * y != (L(z,u,w) \ v5) \ v5 | x \ L((z \ v5) \ v5,u,w) = y. a(x,y,a(z,u,w)) \ L((v5 \ v6) \ v6,v7,v8) = (L(v5,v7,v8) \ v6) \ (a(x,y,a(z,u,w)) \ v6). a(x,y,a(z,u,w)) * (v5 \ 1) != v6 | v5 \ a(x,y,a(z,u,w)) = v6. (x * (a(y,z,a(u,w,v5)) \ v6)) * v7 = (x * v6) * (a(y,z,a(u,w,v5)) \ v7). a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w) \ 1,y,x) \ 1. x * a(y,z,a(u,w,v5)) != v6 | a(a(u,w,v5),z,y) \ x = v6. a(a(x,y,z),u,w) \ a(x,y,z) = L(a(x,y,z) \ 1,u,w) \ 1. L(a(x,y,z) \ 1,u,w) \ 1 != v5 | a(w,u,a(x,y,z)) * a(x,y,z) = v5. (L(a(x,y,z) \ 1,u,w) \ 1) * v5 = a(x,y,z) * (a(a(x,y,z),u,w) \ v5). a(x,y,z) * (a(a(x,y,z),u,w) \ v5) = (L(a(x,y,z) \ 1,u,w) \ 1) * v5. (x \ 1) \ y = (x \ a(z,u,a(w,v5,v6))) \ (y * a(z,u,a(w,v5,v6))). (x \ a(y,z,a(u,w,v5))) \ (v6 * a(y,z,a(u,w,v5))) = (x \ 1) \ v6. (x \ a(y,z,a(u,w,v5))) \ 1 = (x \ 1) \ a(a(u,w,v5),z,y). (a(x,y,a(z,u,w)) \ v5) \ v6 = (v5 \ v6) * a(x,y,a(z,u,w)). x \ y != (z \ y) * a(u,w,a(v5,v6,v7)) | z * a(a(v5,v6,v7),w,u) = x. x * a(a(y,z,u),w,v5) = a(v5,w,a(y,z,u)) \ x. a(x,y,a(z,u,w)) \ v5 = v5 * a(a(z,u,w),y,x). L((x \ 1) * a(y,z,a(u,w,v5)),v6,v7) * (((a(y,z,a(u,w,v5)) \ x) \ 1) \ v8) = L(a(y,z,a(u,w,v5)) \ x,v6,v7) * ((a(y,z,a(u,w,v5)) \ x) \ v8). (x * (a(y,z,a(u,w,v5)) \ v6)) \ v7 = ((x * v6) \ v7) * a(y,z,a(u,w,v5)). a(x,y,a(z,u,w)) \ (v5 \ v6) != v7 | (v5 * a(x,y,a(z,u,w))) \ v6 = v7. (x * a(y,z,a(u,w,v5))) \ v6 = (x \ v6) * a(a(u,w,v5),z,y). (a(x,y,a(z,u,w)) * v5) \ v6 = (v5 \ v6) * a(a(z,u,w),y,x). L(x,y,a(z,u,w)) \ v5 = (x \ v5) * a(a(z,u,w),y,x). (x \ y) * a(a(z,u,w),v5,x) = L(x,v5,a(z,u,w)) \ y. a(a(x,y,z),u,w) * (w \ v5) = L(w,u,a(x,y,z)) \ v5. x * (L(x,y,a(z,u,w)) \ v5) = v5 * a(a(z,u,w),y,x). a(x \ (L(y,z,a(u,w,v5)) \ v6),v7,v8) = a(x \ (y \ v6),v7,v8). (x \ y) * a(a(z,u,w),v5,x) != v6 | L(x,v5,a(z,u,w)) \ y = v6. x != (y \ (y * a(z,u,w))) * a(a(z,u,w),v5,v6) | L(a(z,u,w),v5,v6) = x. L(a(x,y,z),u,w) = (a(w,u,a(x,y,z)) * v5) \ (v5 * a(x,y,z)). (a(x,y,a(z,u,w)) * v5) \ (v5 * a(z,u,w)) = L(a(z,u,w),y,x). (a(x,y,a(z,u,w)) * v5) \ (a(z,u,w) * v5) = L(a(z,u,w),y,x). x != L(y,z \ u,w) | L(y,u / z,w) = x. L(a(x,y,z),u / w,v5) = (a(v5,w \ u,a(x,y,z)) * v6) \ (a(x,y,z) * v6). (a(x,y \ z,a(u,w,v5)) * v6) \ (a(u,w,v5) * v6) = L(a(u,w,v5),z / y,x). L(x,y,z) * (x \ a(u,w,a(v5,v6,v7))) != v8 | (x \ L(x,y,z)) * a(u,w,a(v5,v6,v7)) = v8. (x * a(a(y,z,u),w,v5)) \ v6 != v7 | (x \ v6) * a(v5,w,a(y,z,u)) = v7. x \ (y * (a(z,u,a(w,v5,v6)) * v7)) != v8 | (x \ (y * v7)) * a(z,u,a(w,v5,v6)) = v8. (a(a(x,y,z),u,w) * v5) \ v6 != v7 | (v5 \ v6) * a(w,u,a(x,y,z)) = v7. a(x,y,a(z,u,a(w,v5,v6)) * v7) = ((x * (y * (a(z,u,a(w,v5,v6)) * v7))) \ ((x * y) * v7)) * a(z,u,a(w,v5,v6)). ((x * (y * (a(z,u,a(w,v5,v6)) * v7))) \ ((x * y) * v7)) * a(z,u,a(w,v5,v6)) = a(x,y,a(z,u,a(w,v5,v6)) * v7). (x * x) * (L(x,y,z) \ u) != w | L(x \ 1,y,z) \ u = w. L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8 = a(x,y,a(z,u,w)) * (((a(x,y,a(z,u,w)) * v5) * v5) * (L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8)). a(x,y,a(z,u,w)) * (((a(x,y,a(z,u,w)) * v5) * v5) * (L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8)) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. a(x * (a(y,z,a(u,w,v5)) * v6),v7,v8) = (a(y,z,a(u,w,v5)) * ((x * v6) * (v7 * v8))) \ (((x * (a(y,z,a(u,w,v5)) * v6)) * v7) * v8). (a(x,y,a(z,u,w)) * ((v5 * v6) * (v7 * v8))) \ (((v5 * (a(x,y,a(z,u,w)) * v6)) * v7) * v8) = a(v5 * (a(x,y,a(z,u,w)) * v6),v7,v8). (x * (y * (a(z,u,a(w,v5,v6)) * v7))) \ v8 = (x * (y * v7)) \ (a(z,u,a(w,v5,v6)) \ v8). (L(a(x,y,z) \ 1,u,w) \ 1) * v5 != a(x,y,z) * v6 | a(a(x,y,z),u,w) \ v5 = v6. a(x,y,z) * u != (L(a(x,y,z) \ 1,w,v5) \ 1) * v6 | a(a(x,y,z),w,v5) \ v6 = u. a(x,y,z) * (u * a(w,v5,a(x,y,z))) = u * (L(a(x,y,z) \ 1,v5,w) \ 1). (a(x,y,a(z,u,w)) * ((v5 * v6) * v7)) / (v6 * v7) = R(a(x,y,a(z,u,w)) * v5,v6,v7). ((x * y) \ (x * (y * z))) * a(u,w,a(v5,v6,v7)) = L(a(u,w,a(v5,v6,v7)) * z,y,x). (a(x,y,a(z,u,w)) * v5) / v6 != v7 | a(x,y,a(z,u,w)) * (v5 / v6) = v7. a(x,y,a(z,u,w)) * (((v5 * v6) * v7) / (v6 * v7)) = R(a(x,y,a(z,u,w)) * v5,v6,v7). L(x,y,z) * a(u,w,a(v5,v6,v7)) = L(a(u,w,a(v5,v6,v7)) * x,y,z). L(a(x,y,a(z,u,w)) * v5,v6,v7) = L(v5,v6,v7) * a(x,y,a(z,u,w)). L(x * a(y,z,a(u,w,v5)),v6,v7) = L(x,v6,v7) * a(y,z,a(u,w,v5)). L(x,y,z) * a(u,w,a(v5,v6,v7)) != v8 | L(x * a(u,w,a(v5,v6,v7)),y,z) = v8. L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8 = L(v5,v6,v7) \ (a(x,y,a(z,u,w)) \ v8). a(x,y,a(z,u,w)) \ L(v5,v6,v7) = L(a(x,y,a(z,u,w)) \ v5,v6,v7). L(a(x,y,a(z,u,w)) \ v5,v6,v7) = a(x,y,a(z,u,w)) \ L(v5,v6,v7). a(x,y,a(z,u,w)) * L(v5,v6,v7) = L(v5 * a(x,y,a(z,u,w)),v6,v7). L(x * a(y,z,a(u,w,v5)),v6,v7) = a(y,z,a(u,w,v5)) * L(x,v6,v7). x != L(a(y,z,u),w,v5) * a(v5,w,a(y,z,u)) | a(y,z,u) = x. a(x,y,z) = L(a(x,y,z) * a(u,w,a(x,y,z)),w,u). L(a(x,y,z) * a(u,w,a(x,y,z)),w,u) = a(x,y,z). x \ R(x,y,z) = a(x,y,z) * a(y * z,x,a(x,y,z)). a(x,y,z) * a(y * z,x,a(x,y,z)) = x \ R(x,y,z). a(x,y,z) != L(u,w,v5) | a(x,y,z) * a(v5,w,a(x,y,z)) = u. L(x,y,z) != a(u,w,v5) | a(u,w,v5) * a(z,y,a(u,w,v5)) = x. L(L(a(x,y,z) \ 1,u,w) \ 1,u,w) = a(x,y,z). a(x,y,z) != L(u,w,v5) | L(a(x,y,z) \ 1,w,v5) \ 1 = u. L(x,y,z) != a(u,w,v5) | L(a(u,w,v5) \ 1,y,z) \ 1 = x. x != a(y,z,a(u,w,v5)) \ v6 | v6 * a(a(u,w,v5),z,y) = x. L(x,y,z) * a(a(u,w,v5),v6,v7) = L(a(v7,v6,a(u,w,v5)) \ x,y,z). L(a(x,y,a(z,u,w)) \ v5,v6,v7) = L(v5,v6,v7) * a(a(z,u,w),y,x). L(a(x,y,a(z,u,w)) \ v5,v6,v7) * v8 = L(v5,v6,v7) * (a(x,y,a(z,u,w)) \ v8). x \ (y * L(z * a(u,w,a(v5,v6,v7)),v8,v9)) != v10 | (x \ (y * L(z,v8,v9))) * a(u,w,a(v5,v6,v7)) = v10. L(x * a(a(y,z,u),w,v5),v6,v7) = L(x,v6,v7) * a(a(y,z,u),w,v5). x * y != L(z,u,w) * a(a(v5,v6,v7),v8,v9) | x \ L(z * a(a(v5,v6,v7),v8,v9),u,w) = y. x \ L(y * a(a(z,u,w),v5,v6),v7,v8) = (x \ L(y,v7,v8)) * a(a(z,u,w),v5,v6). x * L(x \ a(a(y,z,u),w,v5),v6,v7) = (x \ L(x,v6,v7)) * a(a(y,z,u),w,v5). (x \ L(x,y,z)) * a(a(u,w,v5),v6,v7) = x * L(x \ a(a(u,w,v5),v6,v7),y,z). L(x,y,a(z,u,w)) \ L(x,v5,v6) = x * L(x \ a(a(z,u,w),y,x),v5,v6). x * L(x \ a(a(y,z,u),w,x),v5,v6) = L(x,w,a(y,z,u)) \ L(x,v5,v6). x * L((x \ 1) * a(a(y,z,u),w,x),v5,v6) = L(x,w,a(y,z,u)) \ L(x,v5,v6). x * L(L(x,y,a(z,u,w)) \ 1,v5,v6) = L(x,y,a(z,u,w)) \ L(x,v5,v6). a(x,y,a(z,u,w)) * R(v5,v6,v7) = R(a(x,y,a(z,u,w)) * v5,v6,v7). R(a(x,y,a(z,u,w)) * v5,v6,v7) = a(x,y,a(z,u,w)) * R(v5,v6,v7). x * R(a(x,y,a(z,u,w)) * v5,v6,v7) = R(x,y,a(z,u,w)) * R(v5,v6,v7). x * R(y,z,u) = R(x,w,a(v5,v6,v7)) * R(a(x,w,a(v5,v6,v7)) \ y,z,u). R(x,y,a(z,u,w)) * R(a(x,y,a(z,u,w)) \ v5,v6,v7) = x * R(v5,v6,v7). R(x,y,a(z,u,w)) * R(v5 * a(a(z,u,w),y,x),v6,v7) = x * R(v5,v6,v7). L(x,y,a(z,u,w)) * R(v5 * a(a(z,u,w),y,x),v6,v7) = x * R(v5,v6,v7). L(x,y,a(z,u,w)) * R(v5 \ a(a(z,u,w),y,x),v6,v7) = x * R(v5 \ 1,v6,v7). L(x,y,a(z,u,w)) * R(L(x,y,a(z,u,w)) \ a(a(z,u,w),y,x),v5,v6) != v7 | L(x,y,a(z,u,w)) \ R(x,v5,v6) = v7. L(x,y,a(z,u,w)) \ R(x,v5,v6) = x * R(L(x,y,a(z,u,w)) \ 1,v5,v6). x * R(L(x,y,a(z,u,w)) \ 1,v5,v6) = L(x,y,a(z,u,w)) \ R(x,v5,v6). L(a(x,y,a(z,u,w)),v5 * x,v6) = (v6 * (v5 * x)) \ (v6 * (v5 * R(x,y,a(z,u,w)))). (x * (y * z)) \ (x * (y * R(z,u,a(w,v5,v6)))) = L(a(z,u,a(w,v5,v6)),y * z,x). x != L(a(y,z,a(u,w,v5)),v6,v7) | a(y,z,a(u,w,v5)) = x. a(x,y,a(z,u,w)) = (v5 * (v6 * x)) \ (v5 * (v6 * R(x,y,a(z,u,w)))). (x * (y * z)) \ (x * (y * R(z,u,a(w,v5,v6)))) = a(z,u,a(w,v5,v6)). a(x,y,a(z,u,w)) \ L(v5,v6,v7) != v8 | L(a(x,y,a(z,u,w)) \ v5,v6,v7) = v8. L(a(x,y,a(z,u,w)) \ ((v5 \ v6) \ v6),v7,v8) = (L(v5,v7,v8) \ v6) \ (a(x,y,a(z,u,w)) \ v6). L((x \ a(y,z,a(u,w,v5))) \ 1,v6,v7) = (L(x,v6,v7) \ 1) \ (a(y,z,a(u,w,v5)) \ 1). (L(x,y,z) \ 1) \ (a(u,w,a(v5,v6,v7)) \ 1) = L((x \ a(u,w,a(v5,v6,v7))) \ 1,y,z). (x \ 1) \ (a(y,z,a(u,w,v5)) \ v6) != v7 | (x \ a(y,z,a(u,w,v5))) \ v6 = v7. (L(x,y,z) \ a(u,w,a(v5,v6,v7))) \ 1 = L((x \ a(u,w,a(v5,v6,v7))) \ 1,y,z). L((x \ a(y,z,a(u,w,v5))) \ 1,v6,v7) = (L(x,v6,v7) \ a(y,z,a(u,w,v5))) \ 1. x != (y \ a(z,u,a(w,v5,v6))) \ 1 | (y \ 1) \ a(a(w,v5,v6),u,z) = x. (L(x,y,z) \ 1) \ a(a(u,w,v5),v6,v7) = L((x \ a(v7,v6,a(u,w,v5))) \ 1,y,z). L((x \ a(y,z,a(u,w,v5))) \ 1,v6,v7) = (L(x,v6,v7) \ 1) \ a(a(u,w,v5),z,y). L((x \ 1) \ a(a(y,z,u),w,v5),v6,v7) = (L(x,v6,v7) \ 1) \ a(a(y,z,u),w,v5). R(L(L(x,y,z),u,a(w,v5,v6)),v7,v8) * (x \ 1) = x * L(R(x \ a(x,u,a(w,v5,v6)),v7,v8),y,z). a((x * (y \ (a(x,z,a(u,w,v5)) \ 1))) \ v6,v7,v8) = a((R(x,z,a(u,w,v5)) * y) \ v6,v7,v8). a((x * (y \ (a(z,u,a(w,v5,v6)) \ 1))) \ v7,v8,v9) = a((x * y) \ (a(z,u,a(w,v5,v6)) \ v7),v8,v9). R(L(L(x,y,z),u,w),v5,v6) * (x \ 1) != v7 | x \ L(L(R(x,v5,v6),y,z),u,w) = v7. x \ L(L(R(x,y,z),u,w),v5,a(v6,v7,v8)) = x * L(R(x \ a(x,v5,a(v6,v7,v8)),y,z),u,w). x * L(R(x \ a(x,y,a(z,u,w)),v5,v6),v7,v8) = x \ L(L(R(x,v5,v6),v7,v8),y,a(z,u,w)). x != a(y \ (a(z,u,a(w,v5,v6)) \ v7),v8,v9) | a(y \ v7,v8,v9) = x. a((x * y) \ z,u,w) = a((x * (y \ (a(v5,v6,a(v7,v8,v9)) \ 1))) \ z,u,w). a((x * (y \ (a(z,u,a(w,v5,v6)) \ 1))) \ v7,v8,v9) = a((x * y) \ v7,v8,v9). a((x * (y \ (a(x,z,a(u,w,v5)) \ 1))) \ v6,v7,v8) != v9 | a((R(x,z,a(u,w,v5)) * y) \ v6,v7,v8) = v9. a((R(x,y,a(z,u,w)) * v5) \ v6,v7,v8) = a((x * v5) \ v6,v7,v8). ((x * y) * (a(z,u,a(w,v5,v6)) \ v7)) / (y * (a(z,u,a(w,v5,v6)) \ v7)) = R(x,a(z,u,a(w,v5,v6)) \ y,v7). R(x,a(y,z,a(u,w,v5)) \ v6,v7) != v8 | R(x,v6,a(y,z,a(u,w,v5)) \ v7) = v8. L(a(x,y,z),u,w) * (a(x,y,z) \ L(a(v5,v6,v7) \ L(a(v5,v6,v7),v8,v9),v10,v11)) = a(a(x,y,z),u,w) * a(a(v5,v6,v7),v8,v9). (x * (y * z)) \ (x * (y * R(z,u,a(w,v5,v6)))) = L(a(L(z,y,x),u,a(w,v5,v6)),L(z,y,x),x * y). L(a(L(x,y,z),u,a(w,v5,v6)),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u,a(w,v5,v6)))). x != (y * (z * u)) \ (y * (z * R(u,w,a(v5,v6,v7)))) | a(u,w,a(v5,v6,v7)) = x. a(x,y,a(z,u,w)) = L(a(L(x,v5,v6),y,a(z,u,w)),L(x,v5,v6),v6 * v5). L(a(L(x,y,z),u,a(w,v5,v6)),L(x,y,z),z * y) = a(x,u,a(w,v5,v6)). a(x,y,a(z,u,w)) = a(L(x,v5,v6),y,a(z,u,w)). a(L(x,y,z),u,a(w,v5,v6)) = a(x,u,a(w,v5,v6)). a(x * y,z,a(u,w,v5)) = a(x \ y,z,a(u,w,v5)). a(x \ y,z,a(u,w,v5)) = a(x * y,z,a(u,w,v5)). a((x * y) \ z,u,a(w,v5,v6)) = a(y \ (x \ z),u,a(w,v5,v6)). a(x \ y,z,a(u,w,v5)) != v6 | a(x * y,z,a(u,w,v5)) = v6. a(x,y,a(z,u,w)) * a(x,v5,a(v6,v7,v8)) = x \ L(L(x,v5,a(v6,v7,v8)),y,a(z,u,w)). x \ L(L(x,y,a(z,u,w)),v5,a(v6,v7,v8)) = a(x,v5,a(v6,v7,v8)) * a(x,y,a(z,u,w)). a(x,y,z) \ a(u * w,v5,a(x,y,z)) = L(a(x,y,z),v5,u \ w) \ 1. a((x * y) * z,u,a(w,v5,v6)) = a(y \ (x \ z),u,a(w,v5,v6)). a(x \ (y \ z),u,a(w,v5,v6)) = a((y * x) * z,u,a(w,v5,v6)). a((x * y) * z,u,a(w,v5,v6)) != v7 | a(y * (x \ z),u,a(w,v5,v6)) = v7. a(x,y,z) \ a(u,w,a(x,y,z)) != v5 | L(a(x,y,z),w,u) \ 1 = v5. L(a(x,y,z),u,w * v5) \ 1 = L(a(x,y,z),u,w \ v5) \ 1. L(a(x,y,z),u,w \ v5) \ 1 = L(a(x,y,z),u,w * v5) \ 1. a(a(x,y,z) * (u \ w),v5,a(v6,v7,v8)) = a(a(x,y,z) * (u * w),v5,a(v6,v7,v8)). (x * (y * (a(z,u,a(w,v5,v6)) \ v7))) \ ((x * y) * (a(z,u,a(w,v5,v6)) \ v7)) = a(x,a(z,u,a(w,v5,v6)) \ y,v7). ((x * (y * z)) \ (a(u,w,a(v5,v6,v7)) \ ((x * y) * z))) * a(u,w,a(v5,v6,v7)) = a(x,y,a(u,w,a(v5,v6,v7)) * z). a(x,y,a(z,u,a(w,v5,v6)) \ v7) = a(x,a(z,u,a(w,v5,v6)) \ y,v7). a(x,a(y,z,a(u,w,v5)) \ v6,v7) = a(x,v6,a(y,z,a(u,w,v5)) \ v7). (x \ (a(y,z,a(u,w,v5)) \ v6)) * a(y,z,a(u,w,v5)) != v7 | x \ v6 = v7. (x * (y * z)) \ ((x * y) * z) = a(x,y,a(u,w,a(v5,v6,v7)) * z). a(x,y,a(z,u,a(w,v5,v6)) * v7) = (x * (y * v7)) \ ((x * y) * v7). a(x,y,z) = a(x,y,a(u,w,a(v5,v6,v7)) * z). a(x,y,a(z,u,a(w,v5,v6)) * v7) = a(x,y,v7). a(x,y,z * a(u,w,a(v5,v6,v7))) = a(x,y,z). a(x,y,z) = a(x,y,a(u,w,a(v5,v6,v7)) \ z). a(x,y,a(z,u,a(w,v5,v6)) \ v7) = a(x,y,v7). a(x,y,(z * u) * a(w,v5,v6)) = a(x,y,z * (u * a(w,v5,v6))). a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z). a(x,y,z * (u * a(w,v5,a(v6,v7,v8)))) = a(x,y,z * u). a(x,y,z * a(u,w,v5)) = a(x,y,z \ a(u,w,v5)). a(x,y,z \ a(u,w,v5)) = a(x,y,z * a(u,w,v5)). a(x,y,a(z,u,w)) = a(x,y,L(a(z,u,w),v5,v6)). a(x,y,L(a(z,u,w),v5,v6)) = a(x,y,a(z,u,w)). a(x,y,z \ R(z,u,w)) = a(x,y,a(z,u,w)). a(x,y,a(z,u,a(w,v5,v6)) \ v7) != v8 | a(x,a(z,u,a(w,v5,v6)) \ y,v7) = v8. a(x,a(y,z,a(u,w,v5)) \ v6,v7) = a(x,v6,v7). a(x,y,z \ R(z,u,w)) != v5 | a(x,y,z * R(z,u,w)) = v5. a(x,y,z * R(z,u,w)) = a(x,y,a(z,u,w)). a(x,y,z) = a(x,a(u,w,a(v5,v6,v7)) * y,z). a(x,a(y,z,a(u,w,v5)) * v6,v7) = a(x,v6,v7). a(x,y,a(z,u,w * R(w,v5,v6))) = 1. L(a(x,y,z * R(z,u,w)),v5,v6) = a(x,y,z * R(z,u,w)). a(x,(y * a(z,u,a(w,v5,v6))) * L(L(v7,y,a(z,u,a(w,v5,v6))),v8,v9),v10) = a(x,T(y,a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10). a(x,(y * z) * a(u,w,v5),v6) = a(x,y * (z * a(u,w,v5)),v6). a(x,L(y,z,a(u,w,v5)),v6) = a(x,y,v6). a(x,a(y,z,u) * w,v5) = a(x,(a(y,z,u) \ 1) \ w,v5). a(x,(a(y,z,u) \ 1) \ w,v5) = a(x,a(y,z,u) * w,v5). a(x,((a(y,z,u) \ 1) * w) \ 1,v5) = a(x,w \ a(y,z,u),v5). a(x,y,a(z,u,w) * v5) = a(x,y,v5 \ a(z,u,w)). a(x,y,z \ a(u,w,v5)) = a(x,y,a(u,w,v5) * z). a(x,y,z * L(u,w,a(v5,v6,v7))) = a(x,y,z * u). a(x,y,z * (u * (w \ a(v5,v6,a(v7,v8,v9))))) = a(x,y,z * (u * (w \ 1))). a(x,y,z * L(u * a(w,v5,a(v6,v7,v8)),v9,v10)) = a(x,y,z * L(u,v9,v10)). a(x,y,a(z,u,w) * (v5 * v6)) = a(x,y,(a(z,u,w) * v5) * v6). a(x,y,(a(z,u,w) * v5) * v6) = a(x,y,a(z,u,w) * (v5 * v6)). a(x,a(y,z,u) * w,v5) != v6 | a(x,a(y,z,u) \ w,v5) = v6. L(x * R(x,y,z),u,w) \ (x * R(x,y,z)) = a(w,u,x * R(x,y,z)). a(x,y,a(z,u,w) * (v5 * v6)) = a(x,y,v5 * (v6 * a(z,u,w))). a(x,(a(y,z,u) \ 1) * w,v5) = a(x,w \ a(y,z,u),v5). a(x,a(y,z,u) * w,v5) = a(x,w \ a(y,z,u),v5). a(x,y \ a(z,u,w),v5) = a(x,a(z,u,w) * y,v5). a(x,y,z) = a(x,a(u,w,v5) * (y \ a(u,w,v5)),z). a(x,a(y,z,u) * (w \ a(y,z,u)),v5) = a(x,w,v5). (a(x,a(y,z,u) * w,a(v5,v6,v7)) * v8) \ (a(v5,v6,v7) * v8) = L(a(v5,v6,v7),a(y,z,u) / w,x). a(x,a(y,z,u) \ (w \ a(y,z,u)),v5) = a(x,w,v5). a(x,y,(z * a(u,w,v5)) * v6) = a(x,y,a(u,w,v5) * (z * v6)). x != a(y,z,u * (w * (v5 \ 1))) | a(y,z,u * (w * v5)) = x. a(x,y,z * (u * w)) = a(x,y,z * (u * (w \ a(v5,v6,a(v7,v8,v9))))). a(x,y,z * (u * (w \ a(v5,v6,a(v7,v8,v9))))) = a(x,y,z * (u * w)). a(x,y,z * L(u,w,v5)) = a(x,y,z * L(a(v6,v7,a(v8,v9,v10)) \ u,w,v5)). a(x,y,z * L(a(u,w,a(v5,v6,v7)) \ v8,v9,v10)) = a(x,y,z * L(v8,v9,v10)). a(x,y,z * L(u \ a(w,v5,a(v6,v7,v8)),v9,v10)) = a(x,y,z * L(u \ 1,v9,v10)). a(x,y,z * L(u * a(a(w,v5,v6),v7,v8),v9,v10)) = a(x,y,z * L(u,v9,v10)). x != a(y,z,u * L(w \ 1,v5,v6)) | a(y,z,L(w,v5,v6) * u) = x. a(x,y,L(z,u,w) * v5) = a(x,y,v5 * L(z \ a(v6,v7,a(v8,v9,v10)),u,w)). a(x,y,z * L(u \ a(w,v5,a(v6,v7,v8)),v9,v10)) = a(x,y,L(u,v9,v10) * z). x * (L(x,y,z) \ (x \ (L(x,y,z) * L(L(x,y,z) \ x,u,w)))) = L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)). a(a(x,y,z),u,w) * (a(v5 * a(a(x,y,z),u,w),v6,a(v7,v8,v9)) * (v5 \ 1)) = R(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)). x * (L(x,y,z) \ (L(x,y,z) * (x \ L(L(x,y,z) \ x,u,w)))) = L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)). a(a(x,y,z),u,w) * (a(v5,v6,a(v7,v8,v9)) * (v5 \ 1)) = R(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)). a(a(x,y,z),u,w) * (v5 \ a(v5,v6,a(v7,v8,v9))) = R(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)). a(a(x,y,z),u,w) * (v5 \ a(v5,v6,a(v7,v8,v9))) != v10 | L(v5 \ a(a(x,y,z),u,w),v6,a(v7,v8,v9)) = v10. L(L(x,y,z) \ x,u,w) = L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)). L(R((x \ L(x,y,z)) \ 1,u,w),x,x * L(x,y,z)) = L(L(x,y,z) \ x,u,w). L(R(L(x,y,z) \ x,u,w),x,x * L(x,y,z)) = L(L(x,y,z) \ x,u,w). L(R(L(x,y,z) \ x,u,w),x,x * L(x,y,z)) != v5 | R(L(x,y,z) \ x,u,w) = v5. R(L(x,y,z) \ x,u,w) = L(L(x,y,z) \ x,u,w). L(L(x,y,z) \ x,u,w) * (u * w) = ((L(x,y,z) \ x) * u) * w. (x \ (x * L(y,z,u))) * R((x \ (x * L(y,z,u))) \ y,w,v5) = x \ (x * (L(y,z,u) * L(L(y,z,u) \ y,w,v5))). L(L(x,y,z) \ x,a(L(x,y,z) \ x,u,w),v5) * (a(L(x,y,z) \ x,u,w) * v5) = ((1 / (L(x,y,z) \ x)) \ a(L(x,y,z) \ x,u,w)) * v5. (L(a(x,y,z) \ 1,u,w) \ 1) \ L(v5,L(a(x,y,z) \ 1,u,w),L(a(x,y,z),u,w)) = L(a(x,y,z) \ 1,u,w) * v5. (a(a(x,y,z),u,w) * ((v5 * v6) * v7)) \ (a(a(x,y,z),u,w) * ((v5 * v6) * (v7 * v8))) = L(v8,v7,v5 * (v6 * a(a(x,y,z),u,w))). L(x,y,z) * (x \ L(x \ L(x,u,w),y,z)) != v5 | x \ L(L(x,y,z),u,w) = v5. a(x,y,z) \ L(L(a(x,y,z),u,w),v5,v6) = a(a(x,y,z),u,w) * a(a(x,y,z),v5,v6). x != a(a(y,z,u),w,v5) * a(a(v6,v7,v8),v9,v10) | L(a(y,z,u),w,v5) * (a(y,z,u) \ a(a(v6,v7,v8),v9,v10)) = x. L(a(x,y,z),u,w) * (a(x,y,z) \ a(a(x,y,z),v5,v6)) = a(x,y,z) \ L(L(a(x,y,z),u,w),v5,v6). L(a(x,y,z),u,w) * a(a(x,y,z),v5,v6) = L(L(a(x,y,z),u,w),v5,v6). a(x,(y * a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10) = a(x,T(y,a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10). a(x,T(y,a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10) = a(x,(y * a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10). a(x,T(y,a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10) = a(x,y * (a(z,u,a(w,v5,v6)) * L(v7,v8,v9)),v10). a(x,T(y,a(z,u,a(w,v5,v6))) * L(v7,v8,v9),v10) = a(x,y * L(v7 * a(z,u,a(w,v5,v6)),v8,v9),v10). a(x,y * L(z,u,w),v5) = a(x,y * L(z * a(v6,v7,a(v8,v9,v10)),u,w),v5). a(x,y * L(z * a(u,w,a(v5,v6,v7)),v8,v9),v10) = a(x,y * L(z,v8,v9),v10). L(L(x,y,z * u),(z * u) * y,a(a(w,v5,v6),v7,v8)) = L(x,y,z * (u * a(a(w,v5,v6),v7,v8))). L(x,y,z * u) = L(x,y,z * (u * a(a(w,v5,v6),v7,v8))). L(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = L(x,y,z * u). L(x,y,z * (u * a(a(w,v5,v6),v7,v8))) != v9 | L(x,y,z * u) = v9. L(x,y,z) = L(x,y,z * a(a(u,w,v5),v6,v7)). L(x,y,z * a(a(u,w,v5),v6,v7)) = L(x,y,z). L(x,y,z * u) = L(x,y,u * (z * a(a(w,v5,v6),v7,v8))). L(x,y,z * (u * a(a(w,v5,v6),v7,v8))) = L(x,y,u * z). L(x,y,z * (a(a(u,w,v5),v6,v7) * v8)) = L(x,y,z * v8). L(x,y,(z * a(u,w,v5)) * v6) = L(x,y,a(u,w,v5) * (z * v6)). L(x,y,z) = L(x,y,a(a(u,w,v5),v6,v7) \ z). L(x,y,a(a(z,u,w),v5,v6) \ v7) = L(x,y,v7). L(x,y,a(a(z,u,w),v5,v6) * v7) = L(x,y,v7). L(x,y,z * a(a(u,w,v5),v6,v7)) != v8 | L(x,a(a(u,w,v5),v6,v7) * y,z) = v8. L(x,a(a(y,z,u),w,v5) * v6,v7) = L(x,v6,v7). L(x,y,(a(z,u,w) * v5) * v6) = L(x,y,a(z,u,w) * (v5 * v6)). L(x,y,(a(z,u,w) \ 1) \ v5) = L(x,y,a(z,u,w) * v5). L(x,y,z) != u | L(x,y,a(a(w,v5,v6),v7,v8) * z) = u. L(x,y,L(a(z,u,w),v5,v6)) = L(x,y,a(z,u,w)). L(x,y,L(z,u,a(w,v5,v6))) = L(x,y,z). L(x,y,z * a(u,w,a(v5,v6,v7))) = L(x,y,z). L(x,y,z * a(u,w,v5)) = L(x,y,z \ a(u,w,v5)). L(x,y,z \ a(u,w,v5)) = L(x,y,z * a(u,w,v5)). L(x \ (y * L(y \ x,z,u)),x \ y,y) != w | y \ (x * L(x \ y,z,u)) = w. L(x,y,a(z,u,w)) \ (v5 * L(v5 \ L(x,y,a(z,u,w)),v6,v7)) = L(v5 \ (L(x,y,a(z,u,w)) * L(L(x,y,a(z,u,w)) \ v5,v6,v7)),v5 \ L(x,y,a(z,u,w)),x). L(x \ (L(y,z,a(u,w,v5)) * L(L(y,z,a(u,w,v5)) \ x,v6,v7)),x \ L(y,z,a(u,w,v5)),y) = L(y,z,a(u,w,v5)) \ (x * L(x \ L(y,z,a(u,w,v5)),v6,v7)). L(x,(a(y,z,u) * w) * v5,v6) = L(x,a(y,z,u) * (w * v5),v6). L(x,y,z) = L(x,y * a(u,w,a(v5,v6,v7)),z). L(x,y * a(z,u,a(w,v5,v6)),v7) = L(x,y,v7). a(L(x,x,y * a(z,u,a(w,v5,v6))) * y,v7,v8) = a(x \ y,v7,v8). L(x,y,z \ a(u,w,a(v5,v6,v7))) = L(x,y,z \ 1). L(x,y,z \ R(z,u,w)) = L(x,y,a(z,u,w)). L(x,a(y,z,a(u,w,v5)) * v6,v7) = L(x,v6,v7). L(x,(y * z) * a(u,w,v5),v6) = L(x,y * (z * a(u,w,v5)),v6). L(x,L(y,z,a(u,w,v5)),v6) = L(x,y,v6). L(x,a(y,z,u),w) = L(x,L(a(y,z,u),v5,v6),w). L(x,L(a(y,z,u),w,v5),v6) = L(x,a(y,z,u),v6). L(x,a(y,z,u) * w,v5) = L(x,a(y,z,u) \ w,v5). L(x,a(y,z,u) \ w,v5) = L(x,a(y,z,u) * w,v5). L(x,L(y \ z,y,z),u) != w | L(x,z * y,u) = w. L(x,a(y,z,u) * w,v5) = L(x,w \ a(y,z,u),v5). L(x,y \ a(z,u,w),v5) = L(x,a(z,u,w) * y,v5). L(x,a(y,z,u) \ w,v5) != v6 | L(x,a(y,z,u) * w,v5) = v6. L(x,y,z \ R(u,w,v5)) != v6 | L(x,y,z \ L(u,w,v5)) = v6. L(x,y,z \ L(z,u,w)) = L(x,y,a(z,u,w)). L(x,y * (a(z,u,a(w,v5,v6)) * v7),v8) = L(x,y * v7,v8). L(x,y,z * L(z,u,w)) = L(x,y,a(z,u,w)). L((x * L(x,y,z)) \ u,x,x * L(x,y,z)) != w | (1 / x) * (L(x,y,z) \ u) = w. (1 / x) * (L(x,y,z) \ u) = L((x * L(x,y,z)) \ u,x,a(x,y,z)). L((x * L(x,y,z)) \ u,x,a(x,y,z)) = (1 / x) * (L(x,y,z) \ u). (L(a(x,y,z),u,w) \ 1) * v5 = L(((L(a(x,y,z),u,w) \ 1) \ 1) \ v5,L(a(x,y,z),u,w),a(x,y,z)). L(((L(a(x,y,z),u,w) \ 1) \ 1) \ v5,L(a(x,y,z),u,w),a(x,y,z)) = (L(a(x,y,z),u,w) \ 1) * v5. (L(a(x,y,z) \ 1,u,w) \ 1) \ L(v5,L(a(x,y,z) \ 1,u,w),a(x,y,z)) = L(a(x,y,z) \ 1,u,w) * v5. L(x,(y * (z * u)) * ((y * z) * u),w) = L(x,a(y,z,u),w). L(x,y,L(z,u,w) \ a(v5,v6,a(v7,v8,v9))) = L(x,y,L(z * a(v5,v6,a(v7,v8,v9)),u,w)). L(x,y,L(z * a(u,w,a(v5,v6,v7)),v8,v9)) = L(x,y,L(z,v8,v9) \ a(u,w,a(v5,v6,v7))). L(x,y,z \ a(u,w,a(v5,v6,v7))) != v8 | L(x,y,z) = v8. T((x / y) * (a(z,u,w) \ y),(a(z,u,w) \ y) \ y) = L(a(z,u,w),a(z,u,w) * y,y \ x) \ x. L(x,y,z * a(u,w,a(v5,v6,v7))) != v8 | L(x,y,z) = v8. L(x,y,L(z,u,a(w,v5,v6))) != v7 | L(x,y,z) = v7. L(x,y,z * L(a(u,w,v5),v6,v7)) = L(x,y,a(u,w,v5) * z). L(x,y,z * (u * (a(a(w,v5,v6),v7,v8) * v9))) = L(x,y,z * (u * v9)). L(x,y,a(z,u,w) \ v5) = L(x,y,a(z,u,w) * v5). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) \ w) != v5 | w \ ((a(x,y,z) \ w) * u) = v5. x \ ((a(y,z,u) \ x) * w) = L(a(y,z,u) \ w,a(y,z,u),a(y,z,u) * x). L(a(x,y,z) \ u,a(x,y,z),a(x,y,z) * w) = w \ ((a(x,y,z) \ w) * u). L(x,y * ((z * a(u,w,v5)) * R(v6,z,a(u,w,v5))),v7) = L(x,y * ((z * a(u,w,v5)) * v6),v7). L(x,y * a(z,u,a(w,v5,v6)),v7) != v8 | L(x,y,v7) = v8. L(x,L(y,z,a(u,w,v5)),v6) != v7 | L(x,y,v6) = v7. L(x,y \ L(z,u,a(w,v5,v6)),v7) != v8 | L(x,y \ z,v7) = v8. L(x,y \ (a(z,u,w) * v5),v6) != v7 | L(x,(a(z,u,w) \ y) \ v5,v6) = v7. L(x,(y * (z * u)) * ((y * z) * u),w) != v5 | L(x,L(a(u,z,y),(y * z) * u,(y * z) * u),w) = v5. L(x,L(a(y,z,u),(u * z) * y,(u * z) * y),w) = L(x,a(u,z,y),w). L(x,y,L(a(z,u,w),v5,v6) * v7) = L(x,y,a(z,u,w) * v7). L(x,y,a(z,u,a(w,v5,v6)) * L(a(w,v5,v6),v7,v8)) = L(x,y,L(a(w,v5,v6) \ 1,u,z) \ 1). L(x,y,z * (u * a(w,v5,v6))) = L(x,y,a(w,v5,v6) * (u * z)). L(x,y,a(z,u,w) * (v5 * v6)) = L(x,y,v6 * (v5 * a(z,u,w))). L(x,y,a(z,u,w) * (v5 * v6)) != v7 | L(x,y,v6 * (v5 * a(z,u,w))) = v7. L(x,y,T(z * (a(u,w,v5) * v6),K(a(u,w,v5) * v6,v7))) = L(x,y,a(u,w,v5) * (v6 * T(z,T(a(u,w,v5) * v6,v7)))). L(x,(y * (a(z,u,w) * v5)) * a(z,u,w),v6) = L(x,y * ((v5 * a(z,u,w)) * T(a(z,u,w),v5)),v6). L(x,y * ((z * a(u,w,v5)) * T(a(u,w,v5),z)),v6) = L(x,(y * (a(u,w,v5) * z)) * a(u,w,v5),v6). L(x,y,a(z,u,w) * T(v5 * v6,K(v6,v7))) = L(x,y,T(v5,T(v6,v7)) * (v6 * a(z,u,w))). L(x,y,T(z,T(u,w)) * (u * a(v5,v6,v7))) = L(x,y,a(v5,v6,v7) * T(z * u,K(u,w))). L(x,y,z * (L(u,w,a(v5,v6,v7)) \ v8)) != v9 | L(x,y,z * (u \ v8)) = v9. L(x,L(a(y,z,u),w,v5),v6) != v7 | L(x,a(y,z,u),v6) = v7. L(x,a(y,z,u),w) = L(x,a(u,z,y),w). L(x,a(y,z,u),a(y,z,u) * w) = w \ ((a(y,z,u) \ w) * (a(y,z,u) * x)). x \ ((a(y,z,u) \ x) * (a(y,z,u) * w)) = L(w,a(y,z,u),a(y,z,u) * x). (x \ a(y,z,u)) \ L(x \ a(y,z,u),a(y,z,u),a(y,z,u) * w) = x \ (a(y,z,u) * (w \ ((a(y,z,u) \ w) * x))). (x \ a(y,z,u)) \ (a(y,z,u) * (w \ ((a(y,z,u) \ w) * (x \ a(y,z,u))))) = x \ L(x,a(y,z,u),a(y,z,u) * w). L(x,y,L(z,u,w) \ a(v5,v6,a(v7,v8,v9))) = L(x,y,L((z \ 1) * a(v5,v6,a(v7,v8,v9)),u,w)). L(x,y,L((z \ 1) * a(u,w,a(v5,v6,v7)),v8,v9)) = L(x,y,L(z,v8,v9) \ a(u,w,a(v5,v6,v7))). L(x,y,T(z,T(u,w)) * (u * a(v5,v6,v7))) = L(x,y,T((z * u) * a(v5,v6,v7),K(u,w))). L(x,y,T((z * u) * a(w,v5,v6),K(u,v7))) = L(x,y,T(z,T(u,v7)) * (u * a(w,v5,v6))). L(x,y,(z * u) * a(w,v5,v6)) = L(x,y,T(z,T(u,v7)) * (u * a(w,v5,v6))). L(x,y,T(z,T(u,w)) * (u * a(v5,v6,v7))) = L(x,y,(z * u) * a(v5,v6,v7)). L(x,y * (z * R(u,w,v5)),v6) != v7 | L(x,y * (z * L(u,w,v5)),v6) = v7. L(x,y * ((z * a(u,w,v5)) * L(v6,z,a(u,w,v5))),v7) = L(x,y * ((z * a(u,w,v5)) * v6),v7). L(x,y,L(a(z,u,w) * a(v5,v6,a(z,u,w)),v7,v8)) = L(x,y,L(a(z,u,w) \ 1,v6,v5) \ 1). L(x,y,L(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = L(x,y,L(z,v8,v9) \ a(u,w,a(v5,v6,v7))). L(x,y,L(z,u,w)) = L(x,y,L(z \ a(v5,v6,a(v7,v8,v9)),u,w)). L(x,y,L(z \ a(u,w,a(v5,v6,v7)),v8,v9)) = L(x,y,L(z,v8,v9)). L(x,y,L(z \ a(u,w,a(v5,v6,v7)),v8,v9)) != v10 | L(x,y,L(z,v8,v9)) = v10. L(x,y * (a(z,u,w) * (T(v5,a(z,u,w)) * v6)),v7) = L(x,y * ((v5 * a(z,u,w)) * v6),v7). L(x,y * (a(z,u,w) * (v5 * v6)),v7) = L(x,y * ((v5 * a(z,u,w)) * v6),v7). L(x,y * ((z * a(u,w,v5)) * v6),v7) = L(x,y * (a(u,w,v5) * (z * v6)),v7). L(x,L(y,a(z,u,w) * v5,a(z,u,w) * v5),v6) = L(x,(a(z,u,w) * v5) * (a(z,u,w) * (v5 * y)),v6). L(x,(a(y,z,u) * w) * (a(y,z,u) * (w * v5)),v6) = L(x,L(v5,a(y,z,u) * w,a(y,z,u) * w),v6). L(x,y,L(L(a(z,u,w) \ 1,v5,v6) \ 1,v7,v8)) = L(x,y,L(a(z,u,w) \ 1,v5,v6) \ 1). L(x,y,L(L(a(z,u,w) \ 1,v5,v6),v7,v8)) = L(x,y,L(a(z,u,w) \ 1,v5,v6) \ 1). L(x,y,L(L(z \ 1,u,w),v5,v6)) != v7 | L(x,y,L(L(z,v5,v6),u,w)) = v7. L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)) = L(x,y,L(a(z,u,w) \ 1,v7,v8) \ 1). L(x,y,L(a(z,u,w) \ 1,v5,v6)) = L(x,y,L(L(a(z,u,w),v7,v8),v5,v6)). L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)) = L(x,y,L(a(z,u,w) \ 1,v7,v8)). x != L(y,z,L(u \ 1,w,v5)) | L(y,z,L(u,w,v5)) = x. L(x,y,L(a(z,u,w),v5,v6)) = L(x,y,L(L(a(z,u,w),v7,v8),v5,v6)). L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)) = L(x,y,L(a(z,u,w),v7,v8)). x != L(y,z,L(a(u,w,v5),v6,v7)) | L(y,z,a(u,w,v5)) = x. L(x,y,a(z,u,w)) = L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)). L(x,y,L(L(a(z,u,w),v5,v6),v7,v8)) = L(x,y,a(z,u,w)). L(x,a(y,z,u) * (w * (a(y,z,u) * v5)),v6) = L(x,w * ((v5 * a(y,z,u)) * T(a(y,z,u),v5)),v6). L(x,y * ((z * a(u,w,v5)) * T(a(u,w,v5),z)),v6) = L(x,a(u,w,v5) * (y * (a(u,w,v5) * z)),v6). L(x,y * (a(z,u,w) * (a(z,u,w) * v5)),v6) = L(x,a(z,u,w) * (y * (a(z,u,w) * v5)),v6). L(x,a(y,z,u) * (w * (a(y,z,u) * v5)),v6) = L(x,w * (a(y,z,u) * (a(y,z,u) * v5)),v6). x != L(y,z * (u * (u * w)),v5) | L(y,z * L(w,u,u),v5) = x. L(x,y * L(z,a(u,w,v5),a(u,w,v5)),v6) = L(x,a(u,w,v5) * (y * (a(u,w,v5) * z)),v6). L(x,a(y,z,u) * (w * (a(y,z,u) * v5)),v6) = L(x,w * L(v5,a(y,z,u),a(y,z,u)),v6). T((x / y) * (a(z,u,w) \ y),a(z,u,w)) = L(a(z,u,w),a(z,u,w) * y,y \ x) \ x. L(a(x,y,z),a(x,y,z) * u,u \ w) \ w = T((w / u) * (a(x,y,z) \ u),a(x,y,z)). L(a(x,y,z),a(x,y,z) * u,u \ w) \ w != v5 | v5 = (w / u) * (a(x,y,z) \ u). L(a(x,y,z),a(x,y,z) * u,u \ w) \ w != v5 | (w / u) * (a(x,y,z) \ u) = v5. L(x,(a(y,z,u) * w) * v5,v6) != v7 | L(x,a(y,z,u) * (w * v5),v6) = v7. L(x,a(y,z,u) * (w * (a(y,z,u) * (w * v5))),v6) = L(x,L(v5,a(y,z,u) * w,a(y,z,u) * w),v6). L(L((a(x,y,z) \ 1) \ 1,u,w) \ v5,L(a(x,y,z),u,w),a(x,y,z)) = (L(a(x,y,z),u,w) \ 1) * v5. L(L(a(x,y,z),u,w) \ v5,L(a(x,y,z),u,w),a(x,y,z)) = (L(a(x,y,z),u,w) \ 1) * v5. L(L(a(x,y,z),u,w) \ v5,a(x,y,z),a(x,y,z)) = (L(a(x,y,z),u,w) \ 1) * v5. (L(a(x,y,z) \ 1,u,w) \ 1) \ L(v5,L(a(x,y,z),u,w),a(x,y,z)) = L(a(x,y,z) \ 1,u,w) * v5. (L(a(x,y,z) \ 1,u,w) \ 1) \ L(v5,a(x,y,z),a(x,y,z)) = L(a(x,y,z) \ 1,u,w) * v5. (L(a(x,y,z) \ 1,u,w) \ 1) * v5 = L(L(a(x,y,z) \ 1,u,w) \ v5,a(x,y,z),a(x,y,z)). L(L(a(x,y,z) \ 1,u,w) \ v5,a(x,y,z),a(x,y,z)) = (L(a(x,y,z) \ 1,u,w) \ 1) * v5. L(L(x \ 1,y,z) \ u,x,x) != w | x * (x * (L(x,y,z) \ u)) = w. a(x,y,z) * (a(x,y,z) * (L(a(x,y,z),u,w) \ v5)) = (L(a(x,y,z) \ 1,u,w) \ 1) * v5. a(a(x,y,z),u,w) \ v5 = a(x,y,z) * (L(a(x,y,z),u,w) \ v5). a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = a(a(x,y,z),u,w) \ v5. x != a(a(y,z,u),w,v5) \ v6 | v6 * a(v5,w,a(y,z,u)) = x. x * a(y,z,a(u,w,v5)) = a(u,w,v5) * (L(a(u,w,v5),z,y) \ x). a(x,y,z) * (L(a(x,y,z),u,w) \ v5) = v5 * a(w,u,a(x,y,z)). a(a(x,y,z),u,w) * v5 = L(a(x,y,z),u,w) * (a(x,y,z) \ v5). L(a(x,y,z),u,w) * (a(x,y,z) \ v5) = a(a(x,y,z),u,w) * v5. a(x,y,z) * (a(a(x,y,z),u,w) * v5) != v6 | L(a(x,y,z),u,w) * v5 = v6. L(a(a(x,y,z),u,w) * v5,a(x,y,z),a(x,y,z)) = a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * v5). L(a(x,y,z),u,w) * v5 = a(x,y,z) * (v5 * a(a(x,y,z),u,w)). a(x,y,z) * (u * a(a(x,y,z),w,v5)) = L(a(x,y,z),w,v5) * u. a(x,y,z) * L(L(a(x,y,z),u,w),v5,v6) = L(a(x,y,z),v5,v6) * L(a(x,y,z),u,w). L(a(x,y,z),u,w) * L(a(x,y,z),v5,v6) = a(x,y,z) * L(L(a(x,y,z),v5,v6),u,w). L(x,y,L(a(z,u,w),v5,v6) * v7) != v8 | L(x,y,a(z,u,w) * v7) = v8. L(x,y,z * (a(u,w,v5) * v6)) = L(x,y,a(u,w,v5) * (v6 * T(z,T(a(u,w,v5) * v6,v7)))). L(x,y,a(z,u,w) * (v5 * T(v6,T(a(z,u,w) * v5,v7)))) = L(x,y,v6 * (a(z,u,w) * v5)). L(x,y,z * (u * T(w,v5))) != v6 | L(x,y,(u * w) * z) = v6. L(x,y,(z * u) * a(w,v5,v6)) = L(x,y,u * (a(w,v5,v6) * z)). L(x,y,(z * u) * a(w,v5,v6)) != v7 | L(x,y,T(z,T(u,v8)) * (u * a(w,v5,v6))) = v7. L(x,y,T(z,T(u,w)) * (u * a(v5,v6,v7))) = L(x,y,u * (a(v5,v6,v7) * z)). L(x,y,z * (u * a(w,v5,v6))) = L(x,y,u * (a(w,v5,v6) * z)). L(x,y,z * (a(u,w,v5) * v6)) = L(x,y,v6 * (z * a(u,w,v5))). (1 \ ((1 / x) * (R(x,y,z) * L(R(x,y,z) \ x,u,w)))) \ 1 = L(x \ R(x,y,z),u,w) \ (1 \ ((1 / x) * R(x,y,z))). (1 \ ((1 / x) * (R(x,y,z) * L(R(x,y,z) \ x,u,w)))) \ 1 = L(x \ R(x,y,z),u,w) \ (1 \ (x \ R(x,y,z))). (1 \ ((1 / x) * (R(x,y,z) * L(R(x,y,z) \ x,u,w)))) \ 1 = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). (1 \ ((x * R(x,y,z)) \ L(x * R(x,y,z),u,w))) \ 1 = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). ((x * R(x,y,z)) \ L(x * R(x,y,z),u,w)) \ 1 = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). L(x * R(x,y,z),u,w) \ (x * R(x,y,z)) = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = L(x * R(x,y,z),u,w) \ (x * R(x,y,z)). x != L(y * R(y,z,u),w,v5) \ (y * R(y,z,u)) | a(v5,w,y * R(y,z,u)) = x. a(x,y,z * R(z,u,w)) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) = a(w,u,x * R(x,y,z)). x != a(y,z,u * R(u,w,v5)) | L(a(y,z,u * R(u,w,v5)),v6,v7) = x. L(a(x,y,z * R(z,u,w)),v5,v6) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)) != L(v5,v6,v7) | a(w,u,x * R(x,y,z)) = v5. L(x,y,z) != L(u \ R(u,w,v5),v6,v7) \ (u \ R(u,w,v5)) | a(v7,v6,u * R(u,w,v5)) = x. L(L(x * a(a(y,z,u),w,v5),a(v5,w,a(y,z,u)),v5),L(v5,w,a(y,z,u)),v6) = (v6 * (v5 * a(v5,w,a(y,z,u)))) \ (v6 * (v5 * x)). L(x * a(a(y,z,u),w,v5),L(v5,w,a(y,z,u)),v6) = (v6 * (v5 * a(v5,w,a(y,z,u)))) \ (v6 * (v5 * x)). L(x * a(a(y,z,u),w,v5),L(v5,w,a(y,z,u)),v6) = (v6 * L(v5,w,a(y,z,u))) \ (v6 * (v5 * x)). (x * L(y,z,a(u,w,v5))) \ (x * (y * v6)) != v7 | L(v6 * a(a(u,w,v5),z,y),y,x) = v7. (a(x,y,a(z,u,w)) * ((v5 * v6) * (v7 * v8))) \ ((a(x,y,a(z,u,w)) * ((v5 * v6) * v7)) * v8) = a(v5 * (a(x,y,a(z,u,w)) * v6),v7,v8). (a(x,y,a(z,u,w)) * ((v5 * v6) * (v7 * v8))) \ (a(x,y,a(z,u,w)) * (((v5 * v6) * v7) * v8)) = a(v5 * (a(x,y,a(z,u,w)) * v6),v7,v8). ((a(x,y,a(z,u,w)) * ((v5 * v6) * (v7 * v8))) \ (((v5 * v6) * v7) * v8)) * a(x,y,a(z,u,w)) = a(v5 * (a(x,y,a(z,u,w)) * v6),v7,v8). (((x * y) * (z * u)) \ (a(w,v5,a(v6,v7,v8)) \ (((x * y) * z) * u))) * a(w,v5,a(v6,v7,v8)) = a(x * (a(w,v5,a(v6,v7,v8)) * y),z,u). ((x * y) * (z * u)) \ (((x * y) * z) * u) = a(x * (a(w,v5,a(v6,v7,v8)) * y),z,u). a(x * (a(y,z,a(u,w,v5)) * v6),v7,v8) = ((x * v6) * (v7 * v8)) \ (((x * v6) * v7) * v8). a(x * y,z,u) = a(x * (a(w,v5,a(v6,v7,v8)) * y),z,u). a(x * (a(y,z,a(u,w,v5)) * v6),v7,v8) = a(x * v6,v7,v8). a(x * (a(y,z,a(u,w,v5)) * v6),v7,v8) != v9 | a(x * v6,v7,v8) = v9. a(x * ((y * z) * a(u,w,v5)),v6,v7) = a(x * (y * (z * a(u,w,v5))),v6,v7). a(a(x,y,a(z,u,w)) * v5,v6,v7) != v8 | a(v5,v6,v7) = v8. a(x * R(y,z,a(u,w,v5)),v6,v7) = a(x * y,v6,v7). a(R(x,y,a(z,u,w)) * v5,v6,v7) = a(v5 * x,v6,v7). a((x * y) * a(z,u,w),v5,v6) != v7 | a(x * (y * a(z,u,w)),v5,v6) = v7. a(L(x,y,a(z,u,w)),v5,v6) != v7 | a(x,v5,v6) = v7. a(x * (y * a(z,u,a(w,v5,v6))),v7,v8) != v9 | a(x * y,v7,v8) = v9. a(x * ((y * z) * a(u,w,v5)),v6,v7) != v8 | a(x * (y * (z * a(u,w,v5))),v6,v7) = v8. a(a(x,y,z) * (u * w),v5,v6) != v7 | a(u * (w * a(x,y,z)),v5,v6) = v7. a(x * ((y * z) * u),w,v5) != v6 | a(x * (u * (z * y)),w,v5) = v6. a(x * (a(y,z,u) * (w * v5)),v6,v7) = a(x * (v5 * (w * a(y,z,u))),v6,v7). a((x * y) * (a(z,u,w) * a(v5,v6,v7)),v8,v9) = a(a(z,u,w) * (y * (x * a(v5,v6,v7))),v8,v9). a(a(x,y,z) * (u * (w * a(v5,v6,v7))),v8,v9) = a((w * u) * (a(x,y,z) * a(v5,v6,v7)),v8,v9). a(x * ((y * z) * a(u,w,v5)),v6,v7) = a(x * (z * (T(y,v8) * a(u,w,v5))),v6,v7). a(x * (y * (T(z,u) * a(w,v5,v6))),v7,v8) = a(x * ((z * y) * a(w,v5,v6)),v7,v8). a(x * (a(y,z,u) * w),v5,v6) != v7 | a(a(y,z,u) * (w * x),v5,v6) = v7. a(a(x,y,z) * ((u * w) * v5),v6,v7) = a(v5 * (w * (u * a(x,y,z))),v6,v7). a(x * (y * (z * a(u,w,v5))),v6,v7) != v8 | a(x * ((y * z) * a(u,w,v5)),v6,v7) = v8. a(a(x,y,z) * (u * (w * v5)),v6,v7) = a(u * (w * (v5 * a(x,y,z))),v6,v7). a(a(x,y,z) * ((u * w) * v5),v6,v7) = a(v5 * (u * (w * a(x,y,z))),v6,v7). a(a(x,y,z) * ((u * a(x,y,z)) * w),v5,v6) != v7 | a(w * u,v5,v6) = v7. x != a(y * ((z * u) * a(w,v5,v6)),v7,v8) | a(y * (z * (u * a(w,v5,v6))),v7,v8) = x. a(x * (y * (z * a(u,w,v5))),v6,v7) = a(x * (z * (T(y,v8) * a(u,w,v5))),v6,v7). a(x * (y * (T(z,u) * a(w,v5,v6))),v7,v8) = a(x * (z * (y * a(w,v5,v6))),v7,v8). a(x * ((y * a(z,u,w)) * v5),v6,v7) = a(x * (y * (v5 * a(z,u,w))),v6,v7). a(x * ((a(y,z,u) * w) * v5),v6,v7) = a(x * (w * (v5 * a(y,z,u))),v6,v7). a(x * ((y * a(z,u,w)) * v5),v6,v7) = a(x * (y * (a(z,u,w) * v5)),v6,v7). a(x * y,z,u) = a(a(w,v5,v6) * (y * (a(w,v5,v6) * x)),z,u). a(a(x,y,z) * (u * (a(x,y,z) * w)),v5,v6) = a(w * u,v5,v6). a(a(x,y,z) * ((u * w) * v5),v6,v7) != v8 | a(v5 * (u * (w * a(x,y,z))),v6,v7) = v8. a((a(x,y,z) * u) * (w * (v5 * a(x,y,z))),v6,v7) = a(u * (w * v5),v6,v7). a(x * (y * a(z,u,w)),v5,v6) = a((y * x) * (a(v7,v8,a(v9,v10,v11)) * a(z,u,w)),v5,v6). a((x * y) * (a(z,u,a(w,v5,v6)) * a(v7,v8,v9)),v10,v11) = a(y * (x * a(v7,v8,v9)),v10,v11). a((x * y) * a(z,u,w),v5,v6) = a(y * (x * a(z,u,w)),v5,v6). a(x * (y * a(z,u,w)),v5,v6) = a(y * (x * a(z,u,w)),v5,v6). a(x * ((1 / y) \ a(z,u,w)),v5,v6) = a(R(y,y,a(z,u,w)) * (x * a(z,u,w)),v5,v6). a(R(x,x,a(y,z,u)) * (w * a(y,z,u)),v5,v6) = a(w * ((1 / x) \ a(y,z,u)),v5,v6). x != a(y * ((z / u) \ w),v5,v6) | a(y * ((u \ z) \ w),v5,v6) = x. a(x * ((y \ 1) \ a(z,u,w)),v5,v6) = a(R(y,y,a(z,u,w)) * (x * a(z,u,w)),v5,v6). a(R(x,x,a(y,z,u)) * (w * a(y,z,u)),v5,v6) = a(w * ((x \ 1) \ a(y,z,u)),v5,v6). a(R(x,x,a(y,z,u)) * (w * a(y,z,u)),v5,v6) != v7 | a((x \ a(y,z,u)) * w,v5,v6) = v7. a((x \ a(y,z,u)) * w,v5,v6) = a((w * a(y,z,u)) * x,v5,v6). x != a((y * a(z,u,w)) * v5,v6,v7) | a(a(z,u,w) * (y * v5),v6,v7) = x. a(a(x,y,z) * (u * w),v5,v6) = a((w \ a(x,y,z)) * u,v5,v6). a((x \ a(y,z,u)) * w,v5,v6) = a(a(y,z,u) * (w * x),v5,v6). (a(x,y,z) * L(u,w,a(x,y,z))) \ (a(x,y,z) * (w * T(u,w * a(x,y,z)))) = L(w,a(x,y,z),L(u,w,a(x,y,z))). (a(x,y,z) * L(u,w,a(x,y,z))) \ (a(x,y,z) * (u * w)) = L(w,a(x,y,z),L(u,w,a(x,y,z))). L(x * a(a(y,z,u),x,w),w,a(y,z,u)) = L(x,a(y,z,u),L(w,x,a(y,z,u))). x * y != L(z * a(a(u,w,v5),z,v6),v6,a(u,w,v5)) | x \ L(z,a(u,w,v5),L(v6,z,a(u,w,v5))) = y. (x * a(a(y,z,u),x,w)) \ L(x,a(y,z,u),L(w,x,a(y,z,u))) = a(x * a(a(y,z,u),x,w),w,a(y,z,u)). (x * a(a(y,z,u),x,w)) \ L(x,a(y,z,u),w) = a(x * a(a(y,z,u),x,w),w,a(y,z,u)). (x \ L(x,a(y,z,u),w)) * a(w,x,a(y,z,u)) = a(x * a(a(y,z,u),x,w),w,a(y,z,u)). a(x * a(a(y,z,u),x,w),w,a(y,z,u)) != v5 | L(x,a(y,z,u),w) * (x \ a(w,x,a(y,z,u))) = v5. L(x,a(y,z,u),w) * (x \ a(w,x,a(y,z,u))) = a(x,w,a(y,z,u)). a((((x \ y) / T(y,z)) * L((x \ y) / T(y,z),u,w)) \ v5,v6,v7) = a(L((x \ K(z,y)) \ L(x \ K(z,y),u,w),x,y) \ v5,v6,v7). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a((((x \ z) / T(z,y)) * L((x \ z) / T(z,y),u,w)) \ v5,v6,v7). x != a(((y / z) * L(y / z,u,w)) \ v5,v6,v7) | a(((z \ y) * L(z \ y,u,w)) \ v5,v6,v7) = x. a(((T(x,y) \ (z \ x)) * L(T(x,y) \ (z \ x),u,w)) \ v5,v6,v7) = a(L((z \ K(y,x)) \ L(z \ K(y,x),u,w),z,x) \ v5,v6,v7). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a(((T(z,y) \ (x \ z)) * L(T(z,y) \ (x \ z),u,w)) \ v5,v6,v7). x != a(((T(y,z) \ u) * w) \ v5,v6,v7) | a((w * (y \ u)) \ v5,v6,v7) = x. a((L(T(x,y) \ (z \ x),u,w) * (x \ (z \ x))) \ v5,v6,v7) = a(L((z \ K(y,x)) \ L(z \ K(y,x),u,w),z,x) \ v5,v6,v7). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a((L(T(z,y) \ (x \ z),u,w) * (z \ (x \ z))) \ v5,v6,v7). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a(((T(z,y) \ (x \ z)) * L(z \ (x \ z),u,w)) \ v5,v6,v7). a((L(x \ (y \ x),z,u) * (x \ (y \ x))) \ w,v5,v6) = a(L((y \ K(v7,x)) \ L(y \ K(v7,x),z,u),y,x) \ w,v5,v6). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a((L(z \ (x \ z),u,w) * (z \ (x \ z))) \ v5,v6,v7). a(((x \ (y \ x)) * L(x \ (y \ x),z,u)) \ w,v5,v6) = a(L((y \ K(v7,x)) \ L(y \ K(v7,x),z,u),y,x) \ w,v5,v6). a(L((x \ K(y,z)) \ L(x \ K(y,z),u,w),x,z) \ v5,v6,v7) = a(((z \ (x \ z)) * L(z \ (x \ z),u,w)) \ v5,v6,v7). a(L(x \ (K(y,z) * L(K(y,z) \ x,u,w)),x,z) \ v5,v6,v7) = a(((z \ (x \ z)) * L(z \ (x \ z),u,w)) \ v5,v6,v7). a(L(x \ L(x,y,z),x,u) \ w,v5,v6) = a(((u \ (x \ u)) * L(u \ (x \ u),y,z)) \ w,v5,v6). T(R(x,y,a(z,u,w)),v5) * L(T(R(x,y,a(z,u,w)),v5) \ v6,v7,v8) = x * L((R(x,y,a(z,u,w)) \ v6) * a(x,y,a(z,u,w)),v7,v8). R(x,a(y,z,a(u,w,v5)) \ v6,((v6 * (a(y,z,a(u,w,v5)) \ v6)) \ v7) * a(y,z,a(u,w,v5))) = R(x,(a(y,z,a(u,w,v5)) \ v6) \ 1,v7). T(R(x,y,a(z,u,w)),v5) * L(T(R(x,y,a(z,u,w)),v5) \ v6,v7,v8) = x * L(x \ v6,v7,v8). T(x,y) * L(T(x,y) \ z,u,w) != v5 | x * L(x \ z,u,w) = v5. R(x,y,a(z,u,w)) * L(R(x,y,a(z,u,w)) \ v5,v6,v7) = x * L(x \ v5,v6,v7). L(x,y,a(z,u,w)) * L(R(x,y,a(z,u,w)) \ v5,v6,v7) = x * L(x \ v5,v6,v7). L(x,y,a(z,u,w)) * L(L(x,y,a(z,u,w)) \ v5,v6,v7) = x * L(x \ v5,v6,v7). R(x,a(y,z,a(u,w,v5)) \ v6,(((v6 * v6) \ v7) * a(y,z,a(u,w,v5))) * a(y,z,a(u,w,v5))) = R(x,(a(y,z,a(u,w,v5)) \ v6) \ 1,v7). R(x,a(y,z,a(u,w,v5)) \ v6,((v6 * v6) \ v7) * (a(y,z,a(u,w,v5)) * a(y,z,a(u,w,v5)))) = R(x,(a(y,z,a(u,w,v5)) \ v6) \ 1,v7). R(x,y,a(z,u,a(w,v5,v6)) \ (((y * y) \ v7) * (a(z,u,a(w,v5,v6)) * a(z,u,a(w,v5,v6))))) = R(x,(a(z,u,a(w,v5,v6)) \ y) \ 1,v7). L(x,y,L(z \ L(z,u,w),v5,v6) * L(L(z,u,w) \ (z * L(z \ L(z,u,w),v7,v8)),v5,v6)) = L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)). L(x,y,L(z \ L(z,u,w),v5,v6) * L(z * (L(z,u,w) \ L(z \ L(z,u,w),v7,v8)),v5,v6)) = L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)). K(x,(y * z) * u) != w | K(x,y * (z * u)) = w. K(x,L(y,z,u) * (L(y \ 1,z,u) * (w \ ((L(y,z,u) * (y \ L(y,z,u))) \ v5)))) = K(x,T(w,L(y,z,u) * L(y \ 1,z,u)) \ (y \ v5)). (L(K(x,y) / z,u,w) \ K(x,y)) * (L(L(1 / z,u,w) \ 1,v5,v6) \ v7) = (L(z \ 1,u,w) \ 1) * (L(1 / L(1 / z,u,w),v5,v6) \ v7). K(x,L(y,z,u) * w) != v5 | K(x,y * w) = v5. K(x,y * (L(y \ 1,z,u) * (w \ ((L(y,z,u) * (y \ L(y,z,u))) \ v5)))) = K(x,T(w,L(y,z,u) * L(y \ 1,z,u)) \ (y \ v5)). K(x,y * (L(y \ 1,z,u) * w)) != v5 | K(x,w) = v5. K(x,y \ ((L(z,u,w) * (z \ L(z,u,w))) \ v5)) = K(x,T(y,L(z,u,w) * L(z \ 1,u,w)) \ (z \ v5)). K(x,T(y,L(z,u,w) * L(z \ 1,u,w)) \ (z \ v5)) = K(x,y \ ((L(z,u,w) * (z \ L(z,u,w))) \ v5)). x != K(y,z \ ((u * w) \ v5)) | K(y,z \ (w \ (u \ v5))) = x. K(x,y \ ((z \ L(z,u,w)) \ (L(z,u,w) \ v5))) = K(x,T(y,L(z,u,w) * L(z \ 1,u,w)) \ (z \ v5)). K(x,T(y,L(z,u,w) * L(z \ 1,u,w)) \ (z \ v5)) = K(x,y \ ((z \ L(z,u,w)) \ (L(z,u,w) \ v5))). K(x,T(y,L(z,u,w) * (z \ 1)) \ (z \ v5)) = K(x,y \ ((z \ L(z,u,w)) \ (L(z,u,w) \ v5))). K(x,y \ ((z \ L(z,u,w)) \ (L(z,u,w) \ v5))) = K(x,T(y,L(z,u,w) * (z \ 1)) \ (z \ v5)). K(x,y \ ((z \ L(z,u,w)) \ (L(z,u,w) \ v5))) = K(x,y \ (z \ v5)). K(x,y \ ((z \ L(z,u,w)) \ v5)) != v6 | K(x,y \ v5) = v6. K(x,y \ (L(z,u,w) \ v5)) = K(x,y \ (z \ v5)). (L(K(x,y) / z,u,w) \ K(x,y)) * (L(L(1 / z,u,w) \ 1,v5,v6) \ v7) = (L(z \ 1,u,w) \ 1) * (L(L(z \ 1,u,w) \ 1,v5,v6) \ v7). x != (y \ 1) * (L(y \ 1,z,u) \ w) | y * (L(y,z,u) \ w) = x. L(x \ 1,y,z) * (L(L(x \ 1,y,z),u,w) \ v5) = (L(K(v6,v7) / x,y,z) \ K(v6,v7)) * (L(L(1 / x,y,z) \ 1,u,w) \ v5). (L(K(x,y) / z,u,w) \ K(x,y)) * (L(L(1 / z,u,w) \ 1,v5,v6) \ v7) = L(z \ 1,u,w) * (L(L(z \ 1,u,w),v5,v6) \ v7). x != L(y \ 1,z,u) * (L(L(y \ 1,w,v5),v6,v7) \ v8) | L(y,z,u) * (L(L(y,w,v5),v6,v7) \ v8) = x. L(x,y,z) * (L(L(x,y,z),u,w) \ v5) = (L(K(v6,v7) / x,y,z) \ K(v6,v7)) * (L(L(1 / x,y,z) \ 1,u,w) \ v5). (L(K(x,y) / z,u,w) \ K(x,y)) * (L(L(1 / z,u,w) \ 1,v5,v6) \ v7) = L(z,u,w) * (L(L(z,u,w),v5,v6) \ v7). (L(1 / x,y,z) \ 1) * (L(L(1 / x,y,z) \ 1,u,w) \ v5) = L(x,y,z) * (L(L(x,y,z),u,w) \ v5). (x \ 1) * (L(x \ 1,y,z) \ u) != w | x * (L(x,y,z) \ u) = w. L(1 / x,y,z) * (L(L(1 / x,y,z),u,w) \ v5) = L(x,y,z) * (L(L(x,y,z),u,w) \ v5). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),L(1 / x,y,z)) = L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),1 / x) = L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),x \ 1) = L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)). T(L(x,y,z) * (L(L(x,y,z),u,w) \ x),x \ 1) != v5 | L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x) = v5. L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x) = L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)). L(L(1 / x,y,z),u,w) \ ((x \ 1) * L(x,y,z)) = L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x). L(L(1 / x,y,z),u,w) \ (x * L(1 / x,y,z)) = L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x). ((x * a(y,z,u)) \ L((w * w) * (a(y,z,u) * ((w * w) \ x)),v5,v6)) \ 1 = L(a(y,z,u) * ((w * w) \ x),v5,v6) \ (a(y,z,u) * ((w * w) \ x)). a(x,y,a(z,u,w)) * ((v5 * (a(x,y,a(z,u,w)) * v5)) * (L(a(x,y,a(z,u,w)) * v5,v6,v7) \ v8)) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. ((x * a(y,z,u)) \ L(T(a(y,z,u),w \ (w \ 1)) * x,v5,v6)) \ 1 = L(a(y,z,u) * ((w * w) \ x),v5,v6) \ (a(y,z,u) * ((w * w) \ x)). L(a(x,y,z) * ((u * u) \ w),v5,v6) \ (a(x,y,z) * ((u * u) \ w)) = ((w * a(x,y,z)) \ L(T(a(x,y,z),u \ (u \ 1)) * w,v5,v6)) \ 1. L(a(x,y,z) * ((u * u) \ w),v5,v6) \ (a(x,y,z) * ((u * u) \ w)) = ((w * a(x,y,z)) \ L(a(x,y,z) * w,v5,v6)) \ 1. a(x,y,a(z,u,w)) * ((v5 * (a(x,y,a(z,u,w)) * v5)) * (L(v5,v6,v7) \ (a(x,y,a(z,u,w)) \ v8))) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. a(x,y,a(z,u,w)) * (a(x,y,a(z,u,w)) * ((v5 * v5) * (L(v5,v6,v7) \ (a(x,y,a(z,u,w)) \ v8)))) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. a(x,y,a(z,u,w)) * (a(x,y,a(z,u,w)) * (L(v5 \ 1,v6,v7) \ (a(x,y,a(z,u,w)) \ v8))) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. a(x,y,a(z,u,w)) * (L(v5 \ 1,v6,v7) \ v8) = L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8. L((a(x,y,a(z,u,w)) * v5) \ 1,v6,v7) \ v8 = a(x,y,a(z,u,w)) * (L(v5 \ 1,v6,v7) \ v8). L(x \ (a(y,z,a(u,w,v5)) \ 1),v6,v7) \ v8 = a(y,z,a(u,w,v5)) * (L(x \ 1,v6,v7) \ v8). L(x \ (1 * a(a(y,z,u),w,v5)),v6,v7) \ v8 = a(v5,w,a(y,z,u)) * (L(x \ 1,v6,v7) \ v8). L(x \ a(a(y,z,u),w,v5),v6,v7) \ v8 = a(v5,w,a(y,z,u)) * (L(x \ 1,v6,v7) \ v8). a(x,y,a(z,u,w)) * (L(v5 \ 1,v6,v7) \ v8) = L(v5 \ a(a(z,u,w),y,x),v6,v7) \ v8. L(x \ 1,y,z) \ a(u,w,a(v5,v6,v7)) = L(x \ a(a(v5,v6,v7),w,u),y,z) \ 1. L(x \ a(a(y,z,u),w,v5),v6,v7) \ 1 = L(x \ 1,v6,v7) \ a(v5,w,a(y,z,u)). L(x \ a(y,z,a(u,w,v5)),v6,v7) * (((a(y,z,a(u,w,v5)) \ x) \ 1) \ v8) = L(a(y,z,a(u,w,v5)) \ x,v6,v7) * ((a(y,z,a(u,w,v5)) \ x) \ v8). L(x \ a(y,z,a(u,w,v5)),v6,v7) * (((x \ 1) * a(y,z,a(u,w,v5))) \ v8) = L(a(y,z,a(u,w,v5)) \ x,v6,v7) * ((a(y,z,a(u,w,v5)) \ x) \ v8). L(x \ a(y,z,a(u,w,v5)),v6,v7) * ((x \ a(y,z,a(u,w,v5))) \ v8) = L(a(y,z,a(u,w,v5)) \ x,v6,v7) * ((a(y,z,a(u,w,v5)) \ x) \ v8). L(a(x,y,a(z,u,w)) \ v5,v6,v7) * ((a(x,y,a(z,u,w)) \ v5) \ v8) = L(v5 \ a(x,y,a(z,u,w)),v6,v7) * ((v5 \ a(x,y,a(z,u,w))) \ v8). L(a(x,y,a(z,u,w)) \ v5,v6,v7) * ((v5 \ v8) * a(x,y,a(z,u,w))) = L(v5 \ a(x,y,a(z,u,w)),v6,v7) * ((v5 \ a(x,y,a(z,u,w))) \ v8). L(a(x,y,a(z,u,w)) \ v5,v6,v7) * v8 != v9 | L(v5,v6,v7) * (a(x,y,a(z,u,w)) \ v8) = v9. L(x,y,z) * (a(u,w,a(v5,v6,v7)) \ ((x \ v8) * a(u,w,a(v5,v6,v7)))) = L(x \ a(u,w,a(v5,v6,v7)),y,z) * ((x \ a(u,w,a(v5,v6,v7))) \ v8). L(x \ a(y,z,a(u,w,v5)),v6,v7) * ((x \ a(y,z,a(u,w,v5))) \ v8) = L(x,v6,v7) * (a(y,z,a(u,w,v5)) \ ((x \ v8) * a(y,z,a(u,w,v5)))). L(x \ a(y,z,a(u,w,v5)),v6,v7) * ((x \ a(y,z,a(u,w,v5))) \ v8) = L(x,v6,v7) * (x \ v8). L(x \ a(y,z,a(u,w,v5)),v6,v7) = L(x,v6,v7) * (x \ (x \ a(y,z,a(u,w,v5)))). L(x,y,z) * (x \ (x \ a(u,w,a(v5,v6,v7)))) = L(x \ a(u,w,a(v5,v6,v7)),y,z). x \ y != L(z,u,w) * (z \ (z \ a(v5,v6,a(v7,v8,v9)))) | x * L(z \ a(v5,v6,a(v7,v8,v9)),u,w) = y. x * L(x \ a(y,z,a(u,w,v5)),v6,v7) = L(x,v6,v7) * (x \ a(y,z,a(u,w,v5))). L(x,y,z) * (x \ a(u,w,a(v5,v6,v7))) = x * L(x \ a(u,w,a(v5,v6,v7)),y,z). (x \ L(x,y,z)) * a(u,w,a(v5,v6,v7)) = x * L(x \ a(u,w,a(v5,v6,v7)),y,z). L(a(x,y,z),u,w) * (a(x,y,z) \ v5) != v6 | a(a(x,y,z),u,w) * v5 = v6. a(a(x,y,z),u,w) * a(v5,v6,a(v7,v8,v9)) = a(x,y,z) * L(a(x,y,z) \ a(v5,v6,a(v7,v8,v9)),u,w). a(x,y,z) * L(a(x,y,z) \ a(u,w,a(v5,v6,v7)),v8,v9) = a(a(x,y,z),v8,v9) * a(u,w,a(v5,v6,v7)). a(x,y,a(z,u,w)) \ (v5 * L(v5 \ a(x,y,a(z,u,w)),v6,v7)) = v5 \ L(v5,v6,v7). a(x,y,a(z,u,w)) \ (x \ L(R(x,y,a(z,u,w)),v5,v6)) = x \ L(x,v5,v6). R(x,y,a(z,u,w)) \ L(R(x,y,a(z,u,w)),v5,v6) = x \ L(x,v5,v6). L(x \ L(x,y,z),u,a(w,v5,v6)) = x \ L(x,y,z). x \ y != R(z,u,a(w,v5,v6)) \ L(R(z,u,a(w,v5,v6)),v7,v8) | x * (z \ L(z,v7,v8)) = y. (a(x,y,z) * u) * (w \ L(w,v5,v6)) = a(x,y,z) * (u * (w \ L(w,v5,v6))). x \ (a(y,z,u) \ L(a(y,z,u) * x,w,v5)) = (a(y,z,u) * x) \ L(a(y,z,u) * x,w,v5). (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) = u \ (a(x,y,z) \ L(a(x,y,z) * u,w,v5)). x != (y / z) \ L(y / z,u,w) | z \ (y * L(y \ z,u,w)) = x. x \ (y * L(y \ x,z,u)) = L((y / x) \ L(y / x,z,u),w,a(v5,v6,v7)). L((x / y) \ L(x / y,z,u),w,a(v5,v6,v7)) = y \ (x * L(x \ y,z,u)). a(x,y,z) / (u \ L(u,w,v5)) = a(x,y,z) * (1 / (u \ L(u,w,v5))). a(x,y,z) * (1 / (u \ L(u,w,v5))) = a(x,y,z) / (u \ L(u,w,v5)). L((x \ L(x,y,z)) \ 1,u,w) * L((x \ L(x,y,z)) \ (x \ L(x,y,z)),u,w) = L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)). L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)) = L((x \ L(x,y,z)) \ 1,u,w) * L((x \ L(x,y,z)) \ (x \ L(x,y,z)),u,w). L((x \ R(x,y,z)) \ a(x,y,z),u,a(w,v5,v6)) = (x \ R(x,y,z)) \ L(x \ R(x,y,z),x,z * y). (x \ L(x,y,z)) * (u * a(w,v5,v6)) = ((x \ L(x,y,z)) * u) * a(w,v5,v6). ((x \ L(x,y,z)) * u) * a(w,v5,v6) = (x \ L(x,y,z)) * (u * a(w,v5,v6)). (x \ L(x,y,z)) * a(u,w,v5) = L(x,y,z) * (x \ a(u,w,v5)). x \ y != (z \ L(z,u,w)) * a(v5,v6,v7) | x * (L(z,u,w) * (z \ a(v5,v6,v7))) = y. a(a(x,y,z),u,w) * (L(v5,v6,v7) * (v5 \ a(w,u,a(x,y,z)))) = v5 \ L(v5,v6,v7). x != y / (z \ L(z,u,w)) | (z \ L(z,u,w)) \ y = x. (x \ L(x,y,z)) \ a(u,w,v5) = a(u,w,v5) * (1 / (x \ L(x,y,z))). a(x,y,z) * (1 / (u \ L(u,w,v5))) = (u \ L(u,w,v5)) \ a(x,y,z). a(x,y,z) * (L(u,w,v5) \ u) = (u \ L(u,w,v5)) \ a(x,y,z). (x \ L(x,y,z)) \ a(u,w,v5) = a(u,w,v5) * (L(x,y,z) \ x). x * (a(y,z,u) * (x \ L(x,w,v5))) = a(y,z,u) * (x * (x \ L(x,w,v5))). a(x,y,z) * (u * (u \ L(u,w,v5))) = u * (a(x,y,z) * (u \ L(u,w,v5))). (x * a(y,z,u)) * (w \ L(w,v5,v6)) = a(y,z,u) * (x * (w \ L(w,v5,v6))). L(x \ (y * L(y \ x,z,u)),w,a(v5,v6,v7)) = x \ (y * L(y \ x,z,u)). x * a(y,z,u) = (w \ L(w,v5,v6)) * (((w \ L(w,v5,v6)) \ x) * a(y,z,u)). (x \ L(x,y,z)) * (((x \ L(x,y,z)) \ u) * a(w,v5,v6)) = u * a(w,v5,v6). (x \ L(x,y,z)) * (((x \ L(x,y,z)) \ u) * a(w,v5,v6)) != v7 | u * a(w,v5,v6) = v7. 1 * ((a(x,y,z) * (u \ L(u,w,v5))) \ ((u \ L(u,w,v5)) * (v6 * a(x,y,z)))) = L(v6,u \ L(u,w,v5),a(x,y,z)). a(x,y,z) * L(u,w,v5) = u * (a(x,y,z) * (u \ L(u,w,v5))). x * (a(y,z,u) * (x \ L(x,w,v5))) = a(y,z,u) * L(x,w,v5). x * y != a(z,u,w) * L(x,v5,v6) | (a(z,u,w) * L(x,v5,v6)) / x = y. (a(x,y,z) * L(u,w,v5)) / u = a(x,y,z) * (u \ L(u,w,v5)). a(x,y,z) * L(u,w,v5) != u * v6 | a(x,y,z) * (u \ L(u,w,v5)) = v6. (a(x,y,z) / u) * L(u,w,v5) = a(x,y,z) * (u \ L(u,w,v5)). x != y * (z \ u) | R(z / y,y,z \ u) \ u = x. R(x / a(y,z,u),a(y,z,u),x \ L(x,w,v5)) \ L(x,w,v5) = (a(y,z,u) / x) * L(x,w,v5). x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)) = a(y,z,u) \ (x * L(x \ a(y,z,u),w,v5)). a(x,y,z) \ (u * L(u \ a(x,y,z),w,v5)) = u \ (a(x,y,z) * L(a(x,y,z) \ u,w,v5)). x * y != (z \ L(z,u,w)) * (((z \ L(z,u,w)) \ v5) * a(v6,v7,v8)) | x \ (v5 * a(v6,v7,v8)) = y. (x \ L(x,y,z)) \ (u * a(w,v5,v6)) = a(w,v5,v6) * ((x \ L(x,y,z)) \ u). a(a(x,y,z),u,w) * a(u,w,a(x,y,z)) = u \ L(u,a(x,y,z),w). R(x \ L(x,a(y,z,u),w),v5,v6) = a(a(y,z,u),x,w) * R(a(x,w,a(y,z,u)),v5,v6). a(a(x,y,z),u,w) * R(a(u,w,a(x,y,z)),v5,v6) = R(u \ L(u,a(x,y,z),w),v5,v6). L(x,y \ L(y,a(z,u,w),v5),v6) = L(x,a(a(z,u,w),y,v5),v6). x != L(y,a(a(z,u,w),v5,v6),v7) | y = x. x = L(x,y \ L(y,a(z,u,w),v5),v6). L(x,y \ L(y,a(z,u,w),v5),v6) = x. a(a(x,y,z),u,w) * L(a(u,w,a(x,y,z)),v5,v6) = R(u \ L(u,a(x,y,z),w),v5,v6). a(a(x,y,z),u,w) * a(u,w,a(x,y,z)) = R(u \ L(u,a(x,y,z),w),v5,v6). R(x \ L(x,a(y,z,u),w),v5,v6) = a(a(y,z,u),x,w) * a(x,w,a(y,z,u)). x != a(a(y,z,u),w,v5) * a(w,v5,a(y,z,u)) | w \ L(w,a(y,z,u),v5) = x. x \ L(x,a(y,z,u),w) = R(x \ L(x,a(y,z,u),w),v5,v6). R(x \ L(x,a(y,z,u),w),v5,v6) = x \ L(x,a(y,z,u),w). L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w) = L(a(x,a(y,z,u),w),v5,v6). L(a(x,a(y,z,u),w),v5,v6) = L(x \ L(x,a(y,z,u),w),x,a(y,z,u) * w). x \ L(x,a(y,z,u),w) = a(x,a(y,z,u),w). x != L(y \ L(y,a(z,u,w),v5),y,a(z,u,w) * v5) | a(y,a(z,u,w),v5) = x. a(x,a(y,z,u),w) = L(a(x,a(y,z,u),w),v5,v6). L(a(x,a(y,z,u),w),v5,v6) = a(x,a(y,z,u),w). L(a(x,a(y,z,u),w),v5,v6) != v7 | a(x,a(y,z,u),w) = v7. x * a(x,a(y,z,u),w) = L(x,a(y,z,u),w). x \ y != a(z,u,w) | a(z,u,w) * x = y. a(x,a(y,z,u),w) * x = L(x,a(y,z,u),w). a(x,a(y,z,u),w) * x != v5 | L(x,a(y,z,u),w) = v5. x * L(x \ a(x,a(y,z,u),w),v5,v6) = x \ L(L(x,a(y,z,u),w),v5,v6). a(x,a(y,z,u),w) \ 1 = L(x,a(y,z,u),w) \ x. L(x,a(y,z,u),w) \ x = a(x,a(y,z,u),w) \ 1. (T(a(x,y,z),u) \ w) \ ((a(x,y,z) * u) \ (u * w)) = a(T(a(x,y,z),u) \ w,a(x,y,z),u). a(x,a(y,z,u),w) \ (L(x,a(y,z,u),w) * L(L(x,a(y,z,u),w) \ (x \ L(x,a(y,z,u),w)),v5,v6)) = x \ L(x,v5,v6). L(x,a(y,a(z,u,w),v5),v6) = x. x * (a(y,a(z,u,w),v5) * v6) = (x * a(y,a(z,u,w),v5)) * v6. (x * a(y,a(z,u,w),v5)) * v6 = x * (a(y,a(z,u,w),v5) * v6). a(x,a(y,z,u),w) \ (v5 \ v6) = (v5 * a(x,a(y,z,u),w)) \ v6. (x * a(y,a(z,u,w),v5)) \ v6 = a(y,a(z,u,w),v5) \ (x \ v6). x \ y != L(z,a(u,a(w,v5,v6),v7),v8) | x * z = y. x * (a(y,a(z,u,w),v5) \ v6) = (a(y,a(z,u,w),v5) \ x) * v6. (a(x,a(y,z,u),w) \ v5) * v6 = v5 * (a(x,a(y,z,u),w) \ v6). x * y != L(z,a(u,a(w,v5,v6),v7),v8) | x \ z = y. a(x,a(y,z,u),w) \ v5 = v5 * (a(x,a(y,z,u),w) \ 1). x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. a(x,a(y,z,u),w) \ v5 = (a(x,a(y,z,u),w) \ 1) * v5. (a(x,a(y,z,u),w) \ 1) * v5 = a(x,a(y,z,u),w) \ v5. (x * (a(y,a(z,u,w),v5) * v6)) \ ((x * a(y,a(z,u,w),v5)) * (v6 * v7)) = L(v7,L(v6,a(y,a(z,u,w),v5),x),x * a(y,a(z,u,w),v5)). (a(x,a(y,z,u),w) \ v5) \ v6 = a(x,a(y,z,u),w) * (v5 \ v6). x != L(y,a(z,u,w),v5) | R(y,a(z,u,w),v5) = x. R(x,a(y,z,u),w) = x * a(x,a(y,z,u),w). x * a(x,a(y,z,u),w) = R(x,a(y,z,u),w). x \ L(x,a(y,z,u),w) != v5 | a(x,a(y,z,u),w) = v5. x \ (y * R(y \ x,a(z,u,w),v5)) = L(a(y \ x,a(z,u,w),v5),y \ x,y). L(a(x \ y,a(z,u,w),v5),x \ y,x) = y \ (x * R(x \ y,a(z,u,w),v5)). (x * (y * z)) \ (x * (y * R(z,a(u,w,v5),v6))) = L(L(a(z,a(u,w,v5),v6),z,y),y * z,x). L(L(a(x,a(y,z,u),w),x,v5),v5 * x,v6) = (v6 * (v5 * x)) \ (v6 * (v5 * R(x,a(y,z,u),w))). (x * (y * z)) \ ((x * y) * R(L(z,y,x),a(u,w,v5),v6)) = L(a(L(z,y,x),a(u,w,v5),v6),L(z,y,x),x * y). L(1 / x,y,z) * (x * a(L(x \ 1,y,z),a(u,w,v5),v6)) = x * R(L(x \ 1,y,z),a(u,w,v5),v6). L(x,a(y,z,u),w) \ x = a(w,a(y,z,u),x). x \ y != L(a(z,a(u,w,v5),v6),v7,v8) | x * a(z,a(u,w,v5),v6) = y. (x * y) * a(z,a(u,w,v5),v6) = x * (y * a(z,a(u,w,v5),v6)). a(x,a(y,z,u),w) * v5 != L(a(x,a(y,z,u),w),v6,v7) | 1 = v5. 1 = a(a(x,a(y,z,u),w),v5,v6). a(a(x,a(y,z,u),w),v5,v6) = 1. a(x,a(y,z,u),w) != L(v5,v6,v7) | a(x,a(y,z,u),w) = v5. L(x,y,z) != a(u,a(w,v5,v6),v7) | a(u,a(w,v5,v6),v7) = x. x \ (y * a(z,a(u,w,v5),v6)) = (x \ y) * a(z,a(u,w,v5),v6). (x * y) * a(z,a(u,w,v5),v6) != v7 | x * (y * a(z,a(u,w,v5),v6)) = v7. L(x,y,a(z,a(u,w,v5),v6)) = x. a(x,a(y,z,u),w) * (v5 * v6) = (a(x,a(y,z,u),w) * v5) * v6. (a(x,a(y,z,u),w) * v5) * v6 = a(x,a(y,z,u),w) * (v5 * v6). L(x,y,a(z,a(u,w,v5),v6)) != v7 | x = v7. (a(x,a(y,z,u),w) * (v5 * v6)) \ ((a(x,a(y,z,u),w) * v5) * (v6 * v7)) = L(v7,L(v6,v5,a(x,a(y,z,u),w)),a(x,a(y,z,u),w) * v5). L(x,a(y,z,u),w) \ x != v5 | a(w,a(y,z,u),x) = v5. a(x,a(y,z,u),w) = a(w,a(y,z,u),x) \ 1. a(x,a(y,z,u),w) \ 1 = a(w,a(y,z,u),x). a(x,a(y,z,u),w) \ 1 != v5 | a(w,a(y,z,u),x) = v5. (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * ((a(y,a(z,u,w),v5) \ 1) * v7))) = L(L(v7,a(y,a(z,u,w),v5) \ 1,v6),v6 * (a(y,a(z,u,w),v5) \ 1),x). ((a(x,a(y,z,u),w) \ v5) * (L(v6,a(x,a(y,z,u),w) \ 1,v5) * v7)) \ ((v5 * ((a(x,a(y,z,u),w) \ 1) * v6)) * v7) = a(v5 * (a(x,a(y,z,u),w) \ 1),L(v6,a(x,a(y,z,u),w) \ 1,v5),v7). x * a(y,a(z,u,w),v5) = a(v5,a(z,u,w),y) \ x. a(x,a(y,z,u),w) \ v5 = v5 * a(w,a(y,z,u),x). a(x,a(y,z,u),w) * (v5 * a(w,a(y,z,u),x)) = v5. x * y != L(x * z,u,u) * a(u,u,x * z) | z = y. x = (L(a(y,a(z,u,w),v5) * x,v6,v6) * a(v6,v6,a(y,a(z,u,w),v5) * x)) * a(v5,a(z,u,w),y). (L(a(x,a(y,z,u),w) * v5,v6,v6) * a(v6,v6,a(x,a(y,z,u),w) * v5)) * a(w,a(y,z,u),x) = v5. a(x,a(y,z,u),w) \ v5 != v6 | v5 * a(w,a(y,z,u),x) = v6. a(x,y * a(z,a(u,w,v5),v6),v7) = (x * (y * (a(z,a(u,w,v5),v6) * v7))) \ ((x * (y * a(z,a(u,w,v5),v6))) * v7). (x * (y * (a(z,a(u,w,v5),v6) * v7))) \ ((x * (y * a(z,a(u,w,v5),v6))) * v7) = a(x,y * a(z,a(u,w,v5),v6),v7). L(x,a(y,z,u),w) \ v5 = a(x,a(y,z,u),w) \ (x \ v5). a(x,a(y,z,u),w) \ (x \ v5) = L(x,a(y,z,u),w) \ v5. (x \ y) * a(z,a(u,w,v5),x) = L(x,a(u,w,v5),z) \ y. (a(x,a(y,z,u),w) \ (v5 * v6)) \ (v5 * (v6 * v7)) = a(x,a(y,z,u),w) * L(v7,v6,v5). x \ y != (z * u) * a(w,a(v5,v6,v7),v8) | x * (z * (u * a(w,a(v5,v6,v7),v8))) = y. a(x,a(y,z,u),w) * (v5 * (v6 * a(w,a(y,z,u),x))) = v5 * v6. (x * (y * a(z,a(u,w,v5),v6))) * v7 = (x * y) * (a(z,a(u,w,v5),v6) * v7). (x * (y * a(z,a(u,w,v5),v6))) \ v7 = a(z,a(u,w,v5),v6) \ ((x * y) \ v7). x \ L(y,a(z,u,w),v5) = (x \ y) * a(y,a(z,u,w),v5). (x \ y) * a(y,a(z,u,w),v5) = x \ L(y,a(z,u,w),v5). x \ (L(y,a(z,u,w),v5) \ v6) = (x \ (y \ v6)) * a(v5,a(z,u,w),y). (x \ (y \ z)) * a(u,a(w,v5,v6),y) = x \ (L(y,a(w,v5,v6),u) \ z). x \ (y * (z * a(u,a(w,v5,v6),v7))) = (x \ (y * z)) * a(u,a(w,v5,v6),v7). (x * (K(y,z) * ((z * y) * a(u,a(w,v5,v6),v7)))) \ v8 = a(u,a(w,v5,v6),v7) \ ((x * (y * z)) \ v8). x \ (y * (a(z,a(u,w,v5),v6) * v7)) = (x \ (y * v7)) * a(z,a(u,w,v5),v6). a(x,a(y,z,u),w) * (v5 * v6) = v5 * (a(x,a(y,z,u),w) * v6). a(x,a(y,z,u),w) \ (v5 * v6) = v5 * (a(x,a(y,z,u),w) \ v6). (x * (a(y,a(z,u,w),v5) \ v6)) * v7 = (x * v6) * (a(y,a(z,u,w),v5) \ v7). a(x \ y,a(z,u,w),v5) = y \ (x * R(x \ y,a(z,u,w),v5)). x \ (y * R(y \ x,a(z,u,w),v5)) = a(y \ x,a(z,u,w),v5). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * v7)) = a(y,a(z,u,w),v5) * L(v7,v6,x). (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) = u \ (a(x,y,z) * L(a(x,y,z) \ u,w,v5)). L(a(x,a(y,z,u),w),v5 * x,v6) = (v6 * (v5 * x)) \ (v6 * (v5 * R(x,a(y,z,u),w))). (x * (y * z)) \ (x * (y * R(z,a(u,w,v5),v6))) = L(a(z,a(u,w,v5),v6),y * z,x). x != L(a(y,a(z,u,w),v5),v6,v7) | a(y,a(z,u,w),v5) = x. a(x,a(y,z,u),w) = (v5 * (v6 * x)) \ (v5 * (v6 * R(x,a(y,z,u),w))). (x * (y * z)) \ (x * (y * R(z,a(u,w,v5),v6))) = a(z,a(u,w,v5),v6). (x * a(y,z,u)) \ L(a(y,z,u) * x,w,v5) = x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)). (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) = x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)). L(a(x,y,z) * ((u * u) \ w),v5,v6) \ (a(x,y,z) * ((u * u) \ w)) = (w \ (a(x,y,z) * L(a(x,y,z) \ w,v5,v6))) \ 1. (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) = (1 / x) \ (a(y,z,u) * L(a(y,z,u) \ (1 / x),w,v5)). (1 / x) \ (a(y,z,u) * L(a(y,z,u) \ (1 / x),w,v5)) = (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5). R(a(x,y,z) \ u,a(x,y,z),u \ L(u,w,v5)) \ L(u,w,v5) = (a(x,y,z) / u) * L(u,w,v5). (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)) = a(T(a(x,y,z),w) \ u,a(x,y,z),w). x != a(T(y,z) \ u,w,v5) | a(y \ u,w,v5) = x. a(a(x,y,z) \ u,a(x,y,z),w) = (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)). (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)) = a(a(x,y,z) \ u,a(x,y,z),w). x != a(a(y,z,u) \ w,v5,v6) | a(a(y,z,u) * w,v5,v6) = x. a(a(x,y,z) * u,a(x,y,z),w) = (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)). (a(x,y,z) \ u) \ ((a(x,y,z) * w) \ (w * u)) = a(a(x,y,z) * u,a(x,y,z),w). (x * (K(y,z) * (z * (y * a(u,a(w,v5,v6),v7))))) \ v8 = a(u,a(w,v5,v6),v7) \ ((x * (y * z)) \ v8). (x * (y * (K(z,y) * (z * a(u,a(w,v5,v6),v7))))) \ v8 = a(u,a(w,v5,v6),v7) \ ((x * (z * y)) \ v8). (x * (y * (T(z,y) * a(u,a(w,v5,v6),v7)))) \ v8 = a(u,a(w,v5,v6),v7) \ ((x * (z * y)) \ v8). (x * (y * T(z * a(u,a(w,v5,v6),v7),y))) \ v8 = a(u,a(w,v5,v6),v7) \ ((x * (z * y)) \ v8). (x * ((y * a(z,a(u,w,v5),v6)) * v7)) \ v8 = a(z,a(u,w,v5),v6) \ ((x * (y * v7)) \ v8). (x * (y * (a(z,a(u,w,v5),v6) * v7))) \ v8 = a(z,a(u,w,v5),v6) \ ((x * (y * v7)) \ v8). L((x \ R(x,y,z)) \ a(x,y,z),u,a(w,v5,v6)) = (x \ R(x,y,z)) \ a(x,y,z). (x * (y * z)) \ (x * (y * R(z,a(u,w,v5),v6))) = L(a(L(z,y,x),a(u,w,v5),v6),L(z,y,x),x * y). L(a(L(x,y,z),a(u,w,v5),v6),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,a(u,w,v5),v6))). x != (y * (z * u)) \ (y * (z * R(u,a(w,v5,v6),v7))) | a(u,a(w,v5,v6),v7) = x. a(x,a(y,z,u),w) = L(a(L(x,v5,v6),a(y,z,u),w),L(x,v5,v6),v6 * v5). L(a(L(x,y,z),a(u,w,v5),v6),L(x,y,z),z * y) = a(x,a(u,w,v5),v6). a(x,a(y,z,u),w) = a(L(x,v5,v6),a(y,z,u),w). a(L(x,y,z),a(u,w,v5),v6) = a(x,a(u,w,v5),v6). a(x * y,a(z,u,w),v5) = a(x \ y,a(z,u,w),v5). a(x \ y,a(z,u,w),v5) = a(x * y,a(z,u,w),v5). a((x * y) \ z,a(u,w,v5),v6) = a(y \ (x \ z),a(u,w,v5),v6). a(x \ y,a(z,u,w),v5) != v6 | a(x * y,a(z,u,w),v5) = v6. L(1 / x,y,z) * (x * a(x \ 1,a(u,w,v5),v6)) = x * R(L(x \ 1,y,z),a(u,w,v5),v6). a(x \ y,a(z,u,w),v5) != v6 | y \ (x * R(x \ y,a(z,u,w),v5)) = v6. x \ (y * R(y \ x,a(z,u,w),v5)) = a(y * x,a(z,u,w),v5). a((x * y) * z,a(u,w,v5),v6) = a(y \ (x \ z),a(u,w,v5),v6). a(x \ (y \ z),a(u,w,v5),v6) = a((y * x) * z,a(u,w,v5),v6). x \ (y * L(y \ x,a(z,u,w),v5)) = a(y * x,a(z,u,w),v5). a(x * (y \ z),a(u,w,v5),v6) = a((y * x) * z,a(u,w,v5),v6). a((x * y) * z,a(u,w,v5),v6) = a(y * (x \ z),a(u,w,v5),v6). a(x * y,a(z,u,w),v5) \ 1 = L(y \ x,a(z,u,w),v5) \ (y \ x). L(x \ y,a(z,u,w),v5) \ (x \ y) = a(y * x,a(z,u,w),v5) \ 1. a(x * (y \ z),a(u,w,v5),v6) \ 1 = a(v6,a(u,w,v5),(y * x) * z). a(x,a(y,z,u),w \ v5) = a(v5 * w,a(y,z,u),x) \ 1. a(x * y,a(z,u,w),v5) \ 1 = a(v5,a(z,u,w),y \ x). a(x,a(y,z,u),w * v5) = a(x,a(y,z,u),v5 \ w). a(x,a(y,z,u),w \ v5) = a(x,a(y,z,u),v5 * w). a(x,a(y,z,u),w * (v5 \ v6)) = a(x,a(y,z,u),(v5 * w) * v6). a(x,a(y,z,u),(w * v5) * v6) = a(x,a(y,z,u),v5 * (w \ v6)). L(1 / x,y,z) * (x * a(x,a(u,w,v5),v6)) = x * R(L(x \ 1,y,z),a(u,w,v5),v6). L(1 / x,y,z) * R(x,a(u,w,v5),v6) = x * R(L(x \ 1,y,z),a(u,w,v5),v6). L(1 / x,y,z) * R(x,a(u,w,v5),v6) = x * L(R(x \ 1,a(u,w,v5),v6),y,z). x != y * L(R(y \ 1,z,u),w,v5) | y \ L(R(y,z,u),w,v5) = x. x \ L(R(x,a(y,z,u),w),v5,v6) = L(1 / x,v5,v6) * R(x,a(y,z,u),w). L(1 / x,y,z) * R(x,a(u,w,v5),v6) = x \ L(R(x,a(u,w,v5),v6),y,z). L(x / y,z,u) * R(y,w,v5) != v6 | R(y,w,v5) * L(y \ x,z,u) = v6. R(x,a(y,z,u),w) * L(x \ 1,v5,v6) = x \ L(R(x,a(y,z,u),w),v5,v6). L(x,a(y,z,u),w) * L(x \ 1,v5,v6) = x \ L(R(x,a(y,z,u),w),v5,v6). L(x,a(y,z,u),w) * L(x \ 1,v5,v6) = x \ L(L(x,a(y,z,u),w),v5,v6). 1 * L(x,a(y,z,u),w \ L(w,v5,v6)) = L(x,w \ L(w,v5,v6),a(y,z,u)). 1 * L(x,a(y,z,u),w * L(w,v5,v6)) = L(x,w \ L(w,v5,v6),a(y,z,u)). L(x,y \ L(y,z,u),a(w,v5,v6)) != v7 | v7 = L(x,a(w,v5,v6),y * L(y,z,u)). L(x,y \ L(y,z,u),a(w,v5,v6)) != v7 | L(x,a(w,v5,v6),y * L(y,z,u)) = v7. (x * (y * (a(z,a(u,w,v5),v6) * v7))) \ ((x * y) * (a(z,a(u,w,v5),v6) * v7)) = a(x,y * a(z,a(u,w,v5),v6),v7). x \ (y * (a(z,a(u,w,v5),v6) * v7)) != v8 | (x \ (y * v7)) * a(z,a(u,w,v5),v6) = v8. ((x * (y * (a(z,a(u,w,v5),v6) * v7))) \ ((x * y) * v7)) * a(z,a(u,w,v5),v6) = a(x,y * a(z,a(u,w,v5),v6),v7). a(x,y * a(z,a(u,w,v5),v6),v7) != v8 | a(x,y,a(z,a(u,w,v5),v6) * v7) = v8. (a(x,a(y,z,u),w) \ ((v5 * (v6 * v7)) \ ((v5 * v6) * v7))) * a(x,a(y,z,u),w) = a(v5,v6 * a(x,a(y,z,u),w),v7). (a(x,a(y,z,u),w) \ a(v5,v6,v7)) * a(x,a(y,z,u),w) = a(v5,v6 * a(x,a(y,z,u),w),v7). a(x,y,z) = a(x,y * a(u,a(w,v5,v6),v7),z). a(x,y * a(z,a(u,w,v5),v6),v7) = a(x,y,v7). a(x,y,a(z,a(u,w,v5),v6) * v7) = a(x,y,v7). (L(a(x,a(y,z,u),w) * v5,v6,v6) * a(v6,v6,v5)) * a(w,a(y,z,u),x) = v5. L(a(x,a(y,z,u),w) * v5,v6,v6) * (a(v6,v6,v5) * a(w,a(y,z,u),x)) = v5. a(x,a(y,z,u),w) \ (L(x,a(y,z,u),w) * L(x \ 1,v5,v6)) = x \ L(x,v5,v6). a(x,a(y,z,u),w) \ (x \ L(L(x,a(y,z,u),w),v5,v6)) = x \ L(x,v5,v6). a(x,a(y,z,u),w) \ (x \ v5) != v6 | L(x,a(y,z,u),w) \ v5 = v6. L(x,a(y,z,u),w) \ L(L(x,a(y,z,u),w),v5,v6) = x \ L(x,v5,v6). x \ y != L(z,a(u,w,v5),v6) \ L(L(z,a(u,w,v5),v6),v7,v8) | x * (z \ L(z,v7,v8)) = y. (x * a(y,z,u)) * (w \ L(w,v5,v6)) = x * (a(y,z,u) * (w \ L(w,v5,v6))). R(x,a(y,z,u),w \ L(w,v5,v6)) = x. (x * a(y,z,u)) * (w \ L(w,v5,v6)) != v7 | a(y,z,u) * (x * (w \ L(w,v5,v6))) = v7. a(x,y,z) * (u * (w \ L(w,v5,v6))) = u * (a(x,y,z) * (w \ L(w,v5,v6))). (a(x,y,z) \ u) \ L(u,w,v5) = (a(x,y,z) / u) * L(u,w,v5). x != (a(y,z,u) / w) * L(w,v5,v6) | a(y,z,u) * (w \ L(w,v5,v6)) = x. a(x,y,z) * (u \ L(u,w,v5)) = (a(x,y,z) \ u) \ L(u,w,v5). (a(x,y,z) \ u) \ L(u,w,v5) = a(x,y,z) * (u \ L(u,w,v5)). x != y * (a(z,u,w) * v5) | y * (v5 * a(z,u,w)) = x. x * ((y \ L(y,z,u)) * a(w,v5,v6)) = a(w,v5,v6) * (x * (y \ L(y,z,u))). a(x,y,z) * (u * (w \ L(w,v5,v6))) = u * ((w \ L(w,v5,v6)) * a(x,y,z)). (x * (y \ L(y,z,u))) * a(w,v5,v6) = x * ((y \ L(y,z,u)) * a(w,v5,v6)). L(x,y \ L(y,z,u),a(w,v5,v6)) = x. L(x,a(y,z,u),w * L(w,v5,v6)) = x. L(x,y * L(y,z,u),a(w,v5,v6)) = x. L(x,y \ L(y,z,u),a(w,v5,v6)) != v7 | x = v7. L(x,y,z * L(z,u,w)) != v5 | L(x,y,a(z,u,w)) = v5. L(x,a(y,z,u),a(w,v5,v6)) = x. x * y != L(y,a(z,u,w),v5 * L(v5,v6,v7)) | 1 = x. 1 = a(x,a(y,z,u),w * L(w,v5,v6)). a(x,a(y,z,u),w * L(w,v5,v6)) = 1. L(x,a(y,z,u),w * L(w,v5,v6)) != v7 | x = v7. x * a(y,z,u) = (a(y,z,u) \ 1) \ x. (a(x,y,z) \ 1) \ u = u * a(x,y,z). a(x,y,z) * u = (a(x,y,z) \ 1) \ u. (a(x,y,z) \ 1) \ u = a(x,y,z) * u. a(x,y,z) \ (a(u,w,v5) \ v6) = (a(u,w,v5) * a(x,y,z)) \ v6. (a(x,y,z) * a(u,w,v5)) \ v6 = a(u,w,v5) \ (a(x,y,z) \ v6). L(L(a(x,y,z),u,w) \ v5,a(x,y,z),a(x,y,z)) != v6 | (L(a(x,y,z),u,w) \ 1) * v5 = v6. (L(a(x,y,z),u,w) \ 1) * v5 = L(a(x,y,z),u,w) \ v5. a(x,y,z) * (a(x,y,z) * (L(a(x,y,z),u,w) \ v5)) = L(a(x,y,z) \ 1,u,w) \ v5. x * y != L(y,a(z,u,w),a(v5,v6,v7)) | 1 = x. 1 = a(x,a(y,z,u),a(w,v5,v6)). a(x,a(y,z,u),a(w,v5,v6)) = 1. x * y != L(z,a(u,w,v5),a(v6,v7,v8)) | x \ z = y. (x * a(y,z,u)) \ x = a(y,z,u) \ 1. a(x,y,z) \ u = u * (a(x,y,z) \ 1). x * (a(y,z,u) \ 1) = a(y,z,u) \ x. a(x,y,z) \ u = (a(x,y,z) \ 1) * u. (a(x,y,z) \ 1) * u = a(x,y,z) \ u. L(x,a(y,z,u),a(w,v5,v6)) != v7 | x = v7. L(x,a(y,z,u) * (w * (a(y,z,u) * v5)),v6) = L(x,w * v5,v6). (L(a(x,y,z) \ 1,u,w) \ 1) \ v5 = L(a(x,y,z) \ 1,u,w) * v5. L(a(x,y,z),a(u,w,v5),v6) = a(x,y,z). x * ((y * L(y,z,u)) * a(w,v5,v6)) = (x * (y * L(y,z,u))) * a(w,v5,v6). (x * (y * L(y,z,u))) * a(w,v5,v6) = x * ((y * L(y,z,u)) * a(w,v5,v6)). L(x * L(x,y,z),a(u,w,v5),v6) = x * L(x,y,z). ((x * a(y,z,u)) * w) / T(x,(a(y,z,u) \ 1) \ w) = x \ (((a(y,z,u) \ 1) \ x) * w). a((x * a(y,z,u)) \ w,v5,v6) = a((a(y,z,u) \ x) \ w,v5,v6). a((a(x,y,z) \ u) \ w,v5,v6) = a((u * a(x,y,z)) \ w,v5,v6). a(x,y,a(z,u,w) * v5) = a(x,y,a(z,u,w) \ v5). a(x,y,a(z,u,w) \ v5) = a(x,y,a(z,u,w) * v5). L(x,y * (a(z,u,w) * v5),v6) = L(x,y * (a(z,u,w) \ v5),v6). L(x,y * (a(z,u,w) \ v5),v6) = L(x,y * (a(z,u,w) * v5),v6). (a(x,y,z) \ 1) \ u != w | u * a(x,y,z) = w. a((a(x,y,z) * u) \ w,v5,v6) = a((a(x,y,z) \ u) \ w,v5,v6). a((a(x,y,z) \ u) \ w,v5,v6) = a((a(x,y,z) * u) \ w,v5,v6). a(a(x,y,z) * (u * w),v5,v6) = a(w * ((a(x,y,z) \ 1) \ u),v5,v6). a(x * ((a(y,z,u) \ 1) \ w),v5,v6) = a(a(y,z,u) * (w * x),v5,v6). (a(x,y,z) * u) \ u = a(x,y,z) \ 1. L(a(x,y,z) \ 1,u * a(x,y,z),w) = (w * (u * a(x,y,z))) \ (w * u). ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. ((x * y) * (y \ z)) \ (x * z) = a(x,y,y \ z) \ 1. (x \ a(y,z,u)) \ R(x \ 1,x,a(y,z,u)) = a(y,z,u) \ 1. x \ (a(y,z,u) \ x) = a(y,z,u) \ 1. L(a(x,y,z) \ 1,u * a(x,y,z),w) = (w * u) / (w * (u * a(x,y,z))). ((L(x,y,z) \ x) * u) * w != v5 | L(L(x,y,z) \ x,u,w) * (u * w) = v5. L(L(x,y,z) \ x,u,a(w,v5,v6) \ 1) * (u * (a(w,v5,v6) \ 1)) = a(w,v5,v6) \ ((L(x,y,z) \ x) * u). x * y != z * (a(u,w,v5) \ 1) | x \ (a(u,w,v5) \ z) = y. a(x,y,z) \ (a(x,y,z) \ u) = u / (a(x,y,z) * a(x,y,z)). x / (a(y,z,u) * a(y,z,u)) = a(y,z,u) \ (a(y,z,u) \ x). a(x,y,z) \ (a(x,y,z) \ (u \ a(x,y,z))) = u \ (a(x,y,z) \ 1). (a(x,y,z) \ u) * ((a(x,y,z) \ 1) \ w) = (u * a(x,y,z)) * (a(x,y,z) \ w). x \ L(a(y,z,u) \ x,w,v5) = x * L(x \ (a(y,z,u) \ 1),w,v5). x * L(x \ (a(y,z,u) \ 1),w,v5) = x \ L(a(y,z,u) \ x,w,v5). ((a(x,y,z) \ (a(x,y,z) \ 1)) \ u) * ((a(x,y,z) \ 1) * w) = u * (a(x,y,z) * w). K(x,y) * ((a(z,u,w) \ v5) \ v6) = (v5 * (a(z,u,w) \ K(y,x))) \ v6. (x * (a(y,z,u) \ K(w,v5))) \ v6 = K(v5,w) * ((a(y,z,u) \ x) \ v6). a((x * (a(y,z,u) \ w)) \ v5,v6,v7) = a((x * (w * a(y,z,u))) \ v5,v6,v7). L(x,a(y,z,u) \ 1,a(w,v5,v6)) * (a(y,z,u) \ a(w,v5,v6)) = (x * (a(y,z,u) \ 1)) * a(w,v5,v6). (L(a(x,y,z),u,w) \ 1) * v5 != v6 | L(a(x,y,z),u,w) \ v5 = v6. a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * v5) != v6 | a(a(x,y,z),u,w) * v5 = v6. L(T(a(x,y,z),a(u,w,v5)),a(v6,v7,v8),v9) = a(x,y,z). T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)) = (u * u) * (a(x,y,z) \ 1). a(x,y,a(z,u,w)) \ v5 != v6 | v5 * a(a(z,u,w),y,x) = v6. a(x,y,z * L(z,u,w)) = a(z \ L(z,u,w),y,x) \ 1. a(x \ L(x,y,z),u,w) \ 1 = a(w,u,x * L(x,y,z)). L(x \ L(x,y,z),x,z * y) = a(z,y,x) \ 1. L(a(x,y,z) \ 1,u,z) = L(z \ L(z,y,x),z,x * y). (x * y) * (a(z,u,x) \ 1) = x * (y * L(x \ L(x,u,z),x,z * u)). x * (y * L(x \ L(x,z,u),x,u * z)) = (x * y) * (a(u,z,x) \ 1). a(x * L(y * L(y,z,u),y,u * z),w,v5) = a(x * (a(u,z,y) \ 1),w,v5). x \ y != L(z \ L(z,u,w),z,w * u) | x * (a(w,u,z) \ 1) = y. (x * (y * z)) * (a(y,z,x) \ 1) = (y * z) * (T(x,y * z) * (x \ L(x,z,y))). (x * y) * (T(z,x * y) * (z \ L(z,y,x))) = (z * (x * y)) * (a(x,y,z) \ 1). L(x \ L(x,y,z),x,z * y) != u \ 1 | a(z,y,x) = u. (x \ L(x,y,z)) \ L(x \ L(x,y,z),x,z * y) = (a(z,y,x) \ 1) * (L(x,y,z) \ x). a(x,a(y,z,u) \ 1,w) = a(x,L(u * L(u,z,y),u,y * z),w). a(x,L(y * L(y,z,u),y,u * z),w) = a(x,a(u,z,y) \ 1,w). L(x \ L(x,y * L(z,u,w),v5),x,v5 * (y * R(z,u,w))) = a(v5,y * R(z,u,w),x) \ 1. L(T(x,y),y,z) != u | (z * y) \ (z * (x * y)) = u. (x * a(y,z,u)) \ (x * (a(w,v5,v6) * a(y,z,u))) = a(w,v5,v6). x * (y * a(z,u,w)) != v5 | L(a(z,u,w),y,x) * (x * y) = v5. L(a(x,y,z),u,L(a(w,v5,v6),v7,v8) \ 1) * ((L(a(w,v5,v6),v7,v8) \ 1) * u) = L(a(w,v5,v6),v7,v8) \ (u * a(x,y,z)). (L(a(x,y,z),u,w) \ 1) * v5 != v6 | v5 * (L(a(x,y,z),u,w) \ 1) = v6. x * (L(a(y,z,u),w,v5) \ 1) = L(a(y,z,u),w,v5) \ x. a(x * L(x,y,z),u,w) \ 1 = a(w,u,x * L(x,y,z)). L(x \ L(x,y,z),x,z * y) != u | u = a(z,y,x) \ 1. L(x \ L(x,y,z),x,z * y) != u | a(z,y,x) \ 1 = u. x * (L(a(y,z,u),w,v5 \ v6) \ 1) = L(a(y,z,u),w,v6 / v5) \ x. x \ y != a(z * L(z,u,w),v5,v6) \ 1 | x * a(v6,v5,z * L(z,u,w)) = y. x * a(y,z,u * L(u,w,v5)) = a(u * L(u,w,v5),z,y) \ x. a(x * L(x,y,z),u,w) \ v5 = v5 * a(w,u,x * L(x,y,z)). a(x,y,z * L(z,u,w)) \ v5 = v5 * a(z * L(z,u,w),y,x). ((x * y) * z) \ (x * (y * z)) != u | a(x,y,z) \ 1 = u. (x * a(y,z,a(u,w,v5))) \ v6 != v7 | (x \ v6) * a(a(u,w,v5),z,y) = v7. L(x,y \ (a(z,u,w) \ (a(z,u,w) \ v5)),v6) = L(x,y \ v5,v6). L(x,a(y,z,u) * (w * (a(y,z,u) * (w * v5))),v6) != v7 | L(x,L(v5,a(y,z,u) * w,a(y,z,u) * w),v6) = v7. L(x,L(y,a(z,u,w) * v5,a(z,u,w) * v5),v6) = L(x,v5 * (v5 * y),v6). (x \ a(y,z,u)) \ L(x \ 1,x,a(y,z,u)) = a(y,z,u) \ 1. (x * (a(y,z,u) \ (a(y,z,u) \ w))) * v5 = (x * w) * ((a(y,z,u) * a(y,z,u)) \ v5). a(x,y,z) \ (u * (a(x,y,z) * a(w,v5,v6))) = u * a(w,v5,v6). x \ (a(y,z,u) * L(a(y,z,u) \ (x * L(x \ 1,x,a(y,z,u))),w,v5)) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). x \ y != a(z,u,w) \ (v5 * (a(z,u,w) * a(v6,v7,v8))) | x * (v5 * a(v6,v7,v8)) = y. a(x,y,z) * (u * a(w,v5,v6)) = (a(x,y,z) * a(w,v5,v6)) * u. (a(x,y,z) * a(u,w,v5)) * v6 = a(x,y,z) * (v6 * a(u,w,v5)). R(x,y,((y * y) \ z) * a(u,w,a(v5,v6,v7))) = R(x,(a(u,w,a(v5,v6,v7)) \ y) \ 1,z). L(x,y,a(z,u,w) * a(v5,v6,v7)) = (a(z,u,w) * (y * a(v5,v6,v7))) \ ((a(z,u,w) * a(v5,v6,v7)) * (y * x)). (a(x,y,z) * (u * a(w,v5,v6))) \ ((a(x,y,z) * a(w,v5,v6)) * (u * v7)) = L(v7,u,a(x,y,z) * a(w,v5,v6)). x * (L(a(y,z,u),w,v5) \ 1) != v6 | L(a(y,z,u),w,v5) \ x = v6. a(x,L(y * L(y,z,u),y,u * z),w) != v5 | a(x,a(u,z,y),w) = v5. a((a(x,y,z) \ u) * w,v5,v6) = a(a(x,y,z) * (u * w),v5,v6). a((a(x,y,z) \ u) * (a(w,v5,w) * v6),v7,v8) = a(a(x,y,z) * ((a(w,v5,w) * u) * v6),v7,v8). a(x,y,z) * L(u \ (a(x,y,z) \ 1),w,v5) = a(x,y,z) \ L(u \ a(x,y,z),w,v5). a(x,y,z) * (u \ L(a(x,y,z) \ u,w,v5)) = (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5). (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) = a(x,y,z) * (u \ L(a(x,y,z) \ u,w,v5)). x * (L(a(y,z,u),w,v5 * v6) \ 1) = L(a(y,z,u),w,v6 / v5) \ x. L(a(x,y,z),u,w * v5) \ v6 = L(a(x,y,z),u,v5 / w) \ v6. L(a(x,y,z),u,w / v5) \ v6 = L(a(x,y,z),u,v5 * w) \ v6. L(a(x,y,z),u,w \ v5) \ v6 = L(a(x,y,z),u,w * v5) \ v6. (x / y) * (a(z,u,w) \ y) = L(a(z,u,w),a(z,u,w) * y,y * x) \ x. L(a(x,y,z),a(x,y,z) * u,u * w) \ w = (w / u) * (a(x,y,z) \ u). x != y * (a(z,u,w) \ 1) | a(z,u,w) \ y = x. a(x,y,z) \ (z * u) = z * (u * L(z \ L(z,y,x),z,x * y)). x * (y * L(x \ L(x,z,u),x,u * z)) = a(u,z,x) \ (x * y). x * (y * (a(z,u,x) \ 1)) = a(z,u,x) \ (x * y). x * (a(y,z,x) \ u) = a(y,z,x) \ (x * u). a(x,y,z) \ (z * u) = z * (a(x,y,z) \ u). L(x,L(y,a(z,u,w) * v5,a(z,u,w) * v5),v6) != v7 | L(x,L(y,v5,v5),v6) = v7. R(x * L(x,y,z),u,w) = (x * L(x,y,z)) * a(x * L(x,y,z),u,w). (x * L(x,y,z)) * a(x * L(x,y,z),u,w) = R(x * L(x,y,z),u,w). L(a(x,y,z),u * L(u,w,v5),v6) = a(x,y,z). x != R(y * L(y,z,u),w,v5) | L(y * L(y,z,u),w,v5) = x. L(x * L(x,y,z),u,w) = (x * L(x,y,z)) * a(x * L(x,y,z),u,w). (x * L(x,y,z)) * a(x * L(x,y,z),u,w) = L(x * L(x,y,z),u,w). L(a(x * L(x,y,z),u,w) \ v5,a(x * L(x,y,z),u,w),x * L(x,y,z)) = L(x * L(x,y,z),u,w) \ ((x * L(x,y,z)) * v5). a(x,(y * L(y,z,u)) * (a(y * L(y,z,u),w,v5) \ 1),v6) = a(x,L(y * L(y,z,u),w,v5),v6). L(x * L(x,y,z),a(x * L(x,y,z),u,w),v5) * (v5 * a(x * L(x,y,z),u,w)) = L(x * L(x,y,z),u,w) * T(v5,a(x * L(x,y,z),u,w)). L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = a(x * L(x,y,z),u,w) \ 1. a(L(K(a(x,y,z) \ u,w) * v5,w,a(x,y,z) \ u),v6,v7) = a((w * (u * a(x,y,z))) \ ((a(x,y,z) \ u) * (w * v5)),v6,v7). a((x * (y * a(z,u,w))) \ ((a(z,u,w) \ y) * (x * v5)),v6,v7) = a(L(K(a(z,u,w) \ y,x) * v5,x,a(z,u,w) \ y),v6,v7). a((x * (a(y,z,u) \ K(w,w \ v5))) \ v6,v7,v8) = a((x * T(a(y,z,u) * K(w,w \ v5),v5)) \ v6,v7,v8). a((x * T(a(y,z,u) * K(w,w \ v5),v5)) \ v6,v7,v8) = a((x * (a(y,z,u) \ K(w,w \ v5))) \ v6,v7,v8). a(x,y,z) \ (u * u) = T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)). T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)) = a(x,y,z) \ (u * u). T((a(x,y,z) * (u \ 1)) \ u,u \ (u \ 1)) != w | (a(x,y,z) * (u \ 1)) \ u = w. (a(x,y,z) * (u \ 1)) \ u = a(x,y,z) \ (u * u). a(x * L(y * L(y,z,u),y,u * z),w,v5) = a(a(u,z,y) \ x,w,v5). a(x * L(y * L(y,z,u),y,u * z),w,v5) != v6 | a(a(u,z,y) * x,w,v5) = v6. x * (L(x,y,z) \ L(x \ L(x,y,z),u,w)) = a(x * L(x,y,z),u,w). x != a(y * L(y,z,u),w,v5) \ 1 | a(v5,w,y * L(y,z,u)) = x. a(x,y,z * L(z,u,w)) = L(z * L(z,u,w),y,x) \ (z * L(z,u,w)). L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = a(w,u,x * L(x,y,z)). x \ y != z * (L(z,u,w) \ L(z \ L(z,u,w),v5,v6)) | x * a(z * L(z,u,w),v5,v6) = y. L(x,y,z) * a(x * L(x,y,z),u,w) = x * L(x \ L(x,y,z),u,w). a(x * L(x,y,z),u,w) * (L(x,y,z) \ x) = L(L(x,y,z) \ x,u,w). L(x,y,L(z \ L(z,u,w),v5,v6) * L(a(z * L(z,u,w),v7,v8),v5,v6)) = L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)). a(x * L(x,y,z),u,w) * L(x,y,z) = x * L(x \ L(x,y,z),u,w). a(x * L(x,y,z),u,w) * (x \ L(x,y,z)) = L(x \ L(x,y,z),u,w). x * (y \ L(y,z,u)) != L(y \ L(y,z,u),w,a(v5,v6,v7)) | 1 = x. 1 = a(x * L(x,y,z),u,a(w,v5,v6)). a(x * L(x,y,z),u,a(w,v5,v6)) = 1. x * (y \ L(y,z,u)) != L(y \ L(y,z,u),w,y) | 1 = x. 1 = a(x * L(x,y,z),u,x). a(x * L(x,y,z),u,x) = 1. L((x \ L(x,y,z)) \ (a(x * L(x,y,z),u,w) \ v5),x \ L(x,y,z),a(x * L(x,y,z),u,w)) = L(x \ L(x,y,z),u,w) \ v5. L(x \ L(x,y,z),u,w) * L(v5,a(x * L(x,y,z),u,w),x \ L(x,y,z)) = (x \ L(x,y,z)) * (T(a(x * L(x,y,z),u,w),x \ L(x,y,z)) * v5). ((x \ L(x,y,z)) \ (a(x * L(x,y,z),u,w) * (x \ L(x,y,z)))) * ((x \ L(x,y,z)) * v5) = (x \ L(x,y,z)) * (v5 * ((x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w))). L(x,y,x * L(x,z,u)) = x. L(x,y,a(x,z,u)) = x. x * y != L(y,z,a(y,u,w)) | 1 = x. 1 = a(x,y,a(x,z,u)). a(x,y,a(x,z,u)) = 1. a(x,y,z) \ (u * x) = (a(x,y,z) \ u) * x. x * (y * a(x,z,u)) = (x * y) * a(x,z,u). (x * y) * a(x,z,u) = x * (y * a(x,z,u)). x \ ((x * y) * z) = (y * z) * 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. L(a(x,y,z),u,x) = a(x,y,z). (x * y) / a(x,z,u) = x * (y / a(x,z,u)). ((x \ 1) * y) * a(x,z,u) = (x \ 1) * (y * a(x,z,u)). x * a(y * L(y,z,u),w,a(v5,v6,v7)) != 1 | 1 = x. 1 = a(a(x,y,z),u,w * L(w,v5,v6)). a(a(x,y,z),u,w * L(w,v5,v6)) = 1. (x * L(y,x,z)) \ (x * y) = a(z,x,L(y,x,z)). a(x,y,L(z,y,x)) = (y * L(z,y,x)) \ (y * z). 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 != (y * z) * a(u,a(w,v5,v6),v7) | y * (z * a(u,a(w,v5,v6),v7)) = x. a(x,y,z) * (u * a(w,a(x,y,z),u)) = w \ ((w * a(x,y,z)) * u). x \ ((x * a(y,z,u)) * w) = a(y,z,u) * (w * a(x,a(y,z,u),w)). (x * y) * a(z,y,T(x,y)) = z \ ((z * y) * T(x,y)). x \ ((x * y) * T(z,y)) = (z * y) * a(x,y,T(z,y)). x * y != (z * u) * a(w,z,u) | x \ (w \ ((w * z) * u)) = y. L(x,y,a(z,x,y)) \ (z \ ((z * x) * y)) = a(z,x,y) * y. L(x,y,a(z,x,y)) \ (z \ ((z * x) * y)) = y * a(z,x,y). x \ (y * z) = ((x \ y) * z) * a(x,x \ y,z). ((x \ y) * z) * a(x,x \ y,z) = x \ (y * z). x \ ((L(1 / x,y,z) \ 1) * u) = ((L(x,y,z) \ x) * u) * a(x,L(x,y,z) \ x,u). ((L(x,y,z) \ x) * u) * a(x,L(x,y,z) \ x,u) = x \ ((L(1 / x,y,z) \ 1) * u). (a(x,y,z) * x) \ (x * (u * a(x,y,z))) = L(u,x,a(x,y,z)). a(x,a(x,y,z),u) = ((x * T(u,x * a(x,y,z))) * a(x,y,z)) \ (T(u,a(x,y,z)) * (x * a(x,y,z))). ((x * T(y,x * a(x,z,u))) * a(x,z,u)) \ (T(y,a(x,z,u)) * (x * a(x,z,u))) = a(x,a(x,z,u),y). a(x,y,z) \ (x * u) = x * (u / a(x,y,z)). a(x,y,z) \ (x * u) = x * (a(x,y,z) \ u). a(x,y,z) \ (x * u) != x * w | a(x,y,z) \ u = w. a(x,y,L(y \ z,y,x)) = (y * L(y \ z,y,x)) \ z. a(x * y,z,a(x,y,z) \ 1) = (z * L(z \ L(z,y,x),z,x * y)) \ (z * (z \ L(z,y,x))). (x * L(x \ L(x,y,z),x,z * y)) \ (x * (x \ L(x,y,z))) = a(z * y,x,a(z,y,x) \ 1). (a(x,y,L(z,y,x)) * y) \ (y * z) = L(L(z,y,x),y,a(x,y,L(z,y,x))). L(L(x,y,z),y,a(z,y,L(x,y,z))) = (a(z,y,L(x,y,z)) * y) \ (y * x). (((x * y) \ z) * u) * a(y * x,(x * y) \ z,u) = (x * y) \ (z * u). a(x \ (y * a(z,u,w)),v5,v6) = a((x \ y) * a(z,u,w),v5,v6). L(x,y \ (z * a(u,w,v5)),v6) = L(x,(y \ z) * a(u,w,v5),v6). x \ ((x * y) * T(z,y)) = (z * y) * a(x,y,z). (x * y) \ (z \ ((z * y) * T(x,y))) = a(z,y,x). a(x,y,z) = (z * y) \ (x \ ((x * y) * T(z,y))). (x * y) * a(z,y,x) != u * w | u \ (z \ ((z * y) * T(x,y))) = w. a(x,a(y,z,u) \ 1,w) = (a(y,z,u) \ w) \ (x \ ((x * (a(y,z,u) \ 1)) * T(w,a(y,z,u) \ 1))). (a(x,y,z) \ u) \ (w \ ((w * (a(x,y,z) \ 1)) * T(u,a(x,y,z) \ 1))) = a(w,a(x,y,z) \ 1,u). a(x,y,L(y \ z,y,x)) = (y * ((x * y) \ (x * z))) \ z. a(x,y,L(y \ (z \ y),y,x)) = ((z \ L(z,y,x)) * (z \ y)) \ (z \ y). (x * ((x \ 1) * y)) * a(x,z,u) = x * ((x \ 1) * (y * a(x,z,u))). a(x,y * a(z,u,w),L(a(z,u,w) \ 1,y * a(z,u,w),x)) = ((y * a(z,u,w)) * ((x * (y * a(z,u,w))) \ (x * y))) \ y. x \ (y \ ((y * x) * (z \ L(z,u,w)))) = a(y,x,z \ L(z,u,w)) * (z \ L(z,u,w)). L(x,y * L(y,z,u),a(w,x,L(y,z,u) \ y)) \ (w \ ((w * x) * (L(y,z,u) \ y))) = (L(y,z,u) \ y) * a(w,x,L(y,z,u) \ y). L(x,a(y,z,u),y) = L(x,y,a(y,z,u)). L(x,a(y,z,u),w) != v5 | L(x,a(u,z,y),w) = v5. L(x,a(y,z,u),u) = L(x,u,a(u,z,y)). a(x \ (a(y,z,u) * w),v5,v6) = a((x \ w) * a(y,z,u),v5,v6). L(x,y \ (a(z,u,w) * v5),v6) = L(x,(y \ v5) * a(z,u,w),v6). L(x,(a(y,z,u) \ w) \ v5,v6) = L(x,(w \ v5) * a(y,z,u),v6). L(x,y,y) * a(y,z,u) = y * ((y \ 1) * (x * a(y,z,u))). x * ((x \ 1) * (y * a(x,z,u))) = L(y,x,x) * a(x,z,u). L(x * a(y,z,u),y,y) = L(x,y,y) * a(y,z,u). L(x * a(y,z,u),y,y) * a(w,a(v5,v6,v7),v8) = L(x,y,y) * (a(y,z,u) * a(w,a(v5,v6,v7),v8)). x != (a(y,z,u) * w) \ (w * (v5 * a(y,z,u))) | L(v5,a(y,z,u),w) = x. L(x,a(y,z,u),w) = (((a(y,z,u) * w) \ w) * (x * a(y,z,u))) * a(w * a(y,z,u),(a(y,z,u) * w) \ w,x * a(y,z,u)). (((a(x,y,z) * u) \ u) * (w * a(x,y,z))) * a(u * a(x,y,z),(a(x,y,z) * u) \ u,w * a(x,y,z)) = L(w,a(x,y,z),u). (a(x,y,z) \ u) * (w * a(x,y,z)) = (u * a(x,y,z)) * (a(x,y,z) \ w). (a(x,y,z) \ u) * (a(x,y,z) * w) = (u * a(x,y,z)) * (a(x,y,z) \ w). x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) = L(w,a(y,z,u),a(y,z,u) * x). x \ y != L(z,u,w * v5) | x * L(z,u,v5 * w) = y. x * L(y,a(z,u,w),x * a(z,u,w)) = (x * a(z,u,w)) * (a(z,u,w) \ y). a(x,y,z) \ (z * (x * y)) = (x * y) * (T(z,x * y) * (z \ L(z,y,x))). (x * y) * (T(z,x * y) * (z \ L(z,y,x))) = a(x,y,z) \ (z * (x * y)). x != a(y,z,u) \ (u * w) | u * (a(y,z,u) \ w) = x. x * (a(y,z,x) \ (y * z)) = (y * z) * (T(x,y * z) * (x \ L(x,z,y))). (x * y) * (T(z,x * y) * (z \ L(z,y,x))) = z * (a(x,y,z) \ (x * y)). (x * y) * (K(z,x * y) * L(z,y,x)) = z * (a(x,y,z) \ (x * y)). (x * y) * L(T(z,x * y),y,x) = z * (a(x,y,z) \ (x * y)). L(x,y,z) * (z * y) = x * (a(z,y,x) \ (z * y)). x * (a(y,z,x) \ (y * z)) = L(x,z,y) * (y * z). x * y != L(x,z,u) * (w * x) | w * L(x,z,u) = y. x * L(y,y,x) = a(x,y,y) \ (x * y). a(x,y,y) \ (x * y) = x * L(y,y,x). a(x,y,y) \ y = L(y,y,x). a(x,y,z) * (u * a(w,v5,a(x,y,z))) = L(a(x,y,z) \ 1,v5,w) \ u. a(x,y,a(z,u,w)) * (v5 * a(z,u,w)) = L(a(z,u,w) \ 1,y,x) \ v5. a(x,y,z) \ (L(a(x,y,z) \ 1,u,w) \ v5) = v5 * a(w,u,a(x,y,z)). a(x,y,z) * (u * a(w,v5,a(x,y,z))) != v6 | u * (L(a(x,y,z) \ 1,v5,w) \ 1) = v6. x * (L(a(y,z,u) \ 1,w,v5) \ 1) = L(a(y,z,u) \ 1,w,v5) \ x. x / T(L(a(y,z,u) \ 1,w,v5) \ v6,(L(a(y,z,u) \ 1,w,v5) \ 1) \ (v6 \ x)) = (v6 * (L(a(y,z,u) \ 1,w,v5) \ 1)) \ x. (a(x,y,a(z,u,w)) * v5) / T(L(a(z,u,w) \ 1,y,x) \ v6,(v6 * a(z,u,w)) \ v5) = L((v6 * a(z,u,w)) \ v5,v6 * a(z,u,w),a(x,y,a(z,u,w))). R(a(x,y,z),u * a(w,v5,a(x,y,z)),(L(a(x,y,z) \ 1,v5,w) \ u) \ v6) \ v6 = (a(x,y,z) \ (L(a(x,y,z) \ 1,v5,w) \ u)) * ((L(a(x,y,z) \ 1,v5,w) \ u) \ v6). ((a(x,y,z) * a(x,y,z)) * u) * ((a(x,y,z) \ 1) * w) = u * (a(x,y,z) * w). (a(x,y,z) * (u * a(x,y,z))) * ((a(x,y,z) \ 1) * w) = u * (a(x,y,z) * w). (a(x,y,z) * (u * a(x,y,z))) * (a(x,y,z) \ w) = u * (a(x,y,z) * w). (x * (a(y,z,u) \ (a(y,z,u) \ w))) * v5 = (x * w) * (a(y,z,u) \ (a(y,z,u) \ v5)). R(x,y \ 1,z * a(u,w,a(v5,v6,v7))) = R(x,(a(u,w,a(v5,v6,v7)) \ y) \ 1,z). R(x,(a(y,z,a(u,w,v5)) \ v6) \ 1,v7) = R(x,v6 \ 1,v7 * a(y,z,a(u,w,v5))). R(x,(y \ 1) * a(z,u,a(w,v5,v6)),v7) = R(x,y \ 1,v7 * a(z,u,a(w,v5,v6))). R(x,y \ a(z,u,a(w,v5,v6)),v7) = R(x,y \ 1,v7 * a(z,u,a(w,v5,v6))). R(x,y \ 1,z * a(u,w,a(v5,v6,v7))) = R(x,y \ a(u,w,a(v5,v6,v7)),z). R(x,y,z * u) != w | R(x,y,u * z) = w. R(x,y \ 1,a(z,u,a(w,v5,v6)) * v7) = R(x,y \ a(z,u,a(w,v5,v6)),v7). R(x,y,a(z,u,a(w,v5,v6)) * v7) = R(x,y \ a(z,u,a(w,v5,v6)),v7). R(x,y \ a(z,u,a(w,v5,v6)),v7) = R(x,y,a(z,u,a(w,v5,v6)) * v7). R(x,(y \ 1) \ a(z,u,a(w,v5,v6)),v7) != v8 | R(x,a(z,u,a(w,v5,v6)) * y,v7) = v8. R(x,a(y,z,a(u,w,v5)) * v6,v7) = R(x,v6 \ 1,a(y,z,a(u,w,v5)) * v7). R(x,y \ 1,a(z,u,a(w,v5,v6)) * v7) = R(x,a(z,u,a(w,v5,v6)) * y,v7). R(x,y,a(z,u,a(w,v5,v6)) * v7) = R(x,a(z,u,a(w,v5,v6)) * y,v7). R(x,a(y,z,a(u,w,v5)) * v6,v7) = R(x,v6,a(y,z,a(u,w,v5)) * v7). R(x,y * z,u) != w | R(x,z * y,u) = w. R(x,y * a(z,u,a(w,v5,v6)),v7) = R(x,y,a(z,u,a(w,v5,v6)) * v7). a(x,y,z) * (u \ (w * (a(x,y,z) \ 1))) = a(x,y,z) \ L((w \ u) \ a(x,y,z),w \ u,w). a(x,y,z) \ L((u \ w) \ a(x,y,z),u \ w,u) = a(x,y,z) * (w \ (u * (a(x,y,z) \ 1))). ((L(x,y,z) \ x) * u) * a(x,x * L(x,y,z),u) = x \ ((L(1 / x,y,z) \ 1) * u). x \ (y \ ((y * x) * (z \ L(z,u,w)))) = a(y,x,z * L(z,u,w)) * (z \ L(z,u,w)). (a(x,y,z) \ u) * w = (a(x,y,z) * u) * (a(x,y,z) \ (a(x,y,z) \ w)). (a(x,y,z) * u) * (a(x,y,z) \ (a(x,y,z) \ w)) = (a(x,y,z) \ u) * w. a((a(x,y,z) * (u * (a(x,y,z) \ (a(x,y,z) \ w)))) * ((a(x,y,z) \ u) * w),v5,v6) = a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6). ((x * a(y,z,u)) * w) / T(x,w * a(y,z,u)) = x \ (((a(y,z,u) \ 1) \ x) * w). ((x * a(y,z,u)) * w) / T(x,w) = x \ (((a(y,z,u) \ 1) \ x) * w). x \ (((a(y,z,u) \ 1) \ x) * w) = ((x * a(y,z,u)) * w) / T(x,w). x \ ((x * a(y,z,u)) * w) = ((x * a(y,z,u)) * w) / T(x,w). ((x * a(y,z,u)) * w) / T(x,w) = x \ ((x * a(y,z,u)) * w). (((x * K(y,x)) * a(z,u,w)) * y) / x = (x * K(y,x)) \ (((x * K(y,x)) * a(z,u,w)) * y). (x * K(y,x)) \ (((x * K(y,x)) * a(z,u,w)) * y) = (((x * K(y,x)) * a(z,u,w)) * y) / x. x != (a(y,z,u) \ 1) * w | a(y,z,u) \ w = x. a(x,y,z) \ (L(z,y,x) \ z) = (z \ L(z,y,x)) \ L(z \ L(z,y,x),z,x * y). (x \ L(x,y,z)) \ L(x \ L(x,y,z),x,z * y) = a(z,y,x) \ (L(x,y,z) \ x). x \ (L(x,y,z) * L(L(x,y,z) \ x,x,z * y)) = a(z,y,x) \ (L(x,y,z) \ x). L(x \ L(x,y * L(z,u,w),v5),x,v5 * (y * L(z,u,w))) = a(v5,y * R(z,u,w),x) \ 1. a(x * (a(y,z,u) \ w),v5,v6) = a(a(y,z,u) * ((a(v7,v8,v7) * w) * x),v5,v6). a(a(x,y,z) * ((a(u,w,u) * v5) * v6),v7,v8) = a(v6 * (a(x,y,z) \ v5),v7,v8). a(a(x,y,z) * (a(u,w,u) * (v5 * v6)),v7,v8) = a(v6 * (a(x,y,z) \ v5),v7,v8). a((x * y) * a(z,u,w),v5,v6) = a(y * (a(z,u,w) \ x),v5,v6). a((x * y) * a(z,u,w),v5,v6) != v7 | a(y * (x * a(z,u,w)),v5,v6) = v7. a(x * (y * a(z,u,w)),v5,v6) = a(x * (a(z,u,w) \ y),v5,v6). a(x * (a(y,z,u) \ w),v5,v6) = a(x * (w * a(y,z,u)),v5,v6). (a(x,y,z) * u) \ L(a(x,y,z) * u,w,v5) != v6 | u \ (a(x,y,z) * L(a(x,y,z) \ u,w,v5)) = v6. x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)) = a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)). (x * K(y,x)) \ (((x * K(y,x)) * a(z,u,w)) * y) = ((x * (K(y,x) * a(z,u,w))) * y) / x. a(x,y * L(z,u,w),v5) = a(x,y * R(z,u,w),v5). a(x,y * R(z,u,w),v5) = a(x,y * L(z,u,w),v5). x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)) != v6 | (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) = v6. (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) = a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)). x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)) != v6 | a(y,z,u) \ (x * L(x \ a(y,z,u),w,v5)) = v6. a(x,y,z) \ (u * L(u \ a(x,y,z),w,v5)) = a(x,y,z) * (u \ L(a(x,y,z) \ u,w,v5)). (x * K(y,x)) \ (((x * K(y,x)) * a(z,u,w)) * y) = (K(y,x) * ((x * a(z,u,w)) * y)) / x. (x * a(y,z,u)) \ L(x * a(y,z,u),w,v5) != v6 | (1 / x) \ (a(y,z,u) * L(a(y,z,u) \ (1 / x),w,v5)) = v6. (1 / x) \ (a(y,z,u) * L(a(y,z,u) \ (1 / x),w,v5)) = a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)). a(x,y,z) \ (z * u) != w | z * (a(x,y,z) \ u) = w. x * (a(y,z,x) \ L(x \ a(y,z,x),u,w)) = a(y,z,x) * (x \ L(a(y,z,x) \ x,u,w)). a(x,y,z) * (z \ L(a(x,y,z) \ z,u,w)) = z * (a(x,y,z) \ L(z \ a(x,y,z),u,w)). (x * K(y,x)) \ (((x * K(y,x)) * a(z,u,w)) * y) = (y * (x * a(z,u,w))) / x. (x * K(y,x)) \ (((x * K(y,x)) * z) * u) != w | x \ ((x * z) * u) = w. x \ ((x * a(y,z,u)) * w) = (w * (x * a(y,z,u))) / x. (x * (y * a(z,u,w))) / y = y \ ((y * a(z,u,w)) * x). (((a(x,y,z) * a(x,y,z)) \ u) * (w * a(x,y,z))) / w = w \ ((w * (a(x,y,z) \ 1)) * u). ((a(x,y,z) \ (a(x,y,z) \ u)) * (w * a(x,y,z))) / w = w \ ((w * (a(x,y,z) \ 1)) * u). (((a(x,y,z) \ u) * a(x,y,z)) * (a(x,y,z) \ w)) / w = w \ ((w * (a(x,y,z) \ 1)) * u). (x * (a(y,z,u) \ w)) / w = w \ ((w * (a(y,z,u) \ 1)) * x). x \ ((x * (a(y,z,u) \ 1)) * w) = (w * (a(y,z,u) \ x)) / x. x \ ((a(y,z,u) \ x) * w) = (w * (a(y,z,u) \ x)) / x. (x * (a(y,z,u) \ w)) / w = w \ ((a(y,z,u) \ w) * x). a(x,(y * L(y,z,u)) * a(w,v5,y * L(y,z,u)),v6) = a(x,L(y * L(y,z,u),v5,w),v6). a(x,(y * z) * a(u,w,v5),v6) != v7 | a(x,y * (z * a(u,w,v5)),v6) = v7. a(x,y * (L(y,z,u) * a(w,v5,y * L(y,z,u))),v6) = a(x,L(y * L(y,z,u),v5,w),v6). a(x * y,z,a(x,y,z)) = (z * L(z \ L(z,y,x),z,x * y)) \ (z * (z \ L(z,y,x))). (x * L(x \ L(x,y,z),x,z * y)) \ (x * (x \ L(x,y,z))) = a(z * y,x,a(z,y,x)). (x * (a(y,z,x) \ 1)) \ (x * (x \ L(x,z,y))) = a(y * z,x,a(y,z,x)). (a(x,y,z) \ z) \ (z * (z \ L(z,y,x))) = a(x * y,z,a(x,y,z)). (a(x,y,z) \ z) \ L(z,y,x) = a(x * y,z,a(x,y,z)). (a(x,y,z) \ u) \ L(u,w,v5) != v6 | a(x,y,z) * (u \ L(u,w,v5)) = v6. a(x,y,z) * (z \ L(z,y,x)) = a(x * y,z,a(x,y,z)). a(x,y,(z \ L(z,u,w)) * a(w * u,z,a(w,u,z))) = a(x,y,L(a(w,u,z),z \ L(z,u,w),z \ L(z,u,w))). a(x,y,L(a(z,u,w),w \ L(w,u,z),w \ L(w,u,z))) = a(x,y,(w \ L(w,u,z)) * a(z * u,w,a(z,u,w))). x * a(y * z,x,a(y,z,x)) = a(y,z,x) * L(x,z,y). L(x,a(y,z,u) * L(u,z,y),w) = L(x,u,w). L(x,a(y,z,u) * L(u,z,y),w) != v5 | L(x,u,w) = v5. a(x,y,z) \ L((u \ w) \ a(x,y,z),u \ w,u) = a(x,y,z) * (w \ (a(x,y,z) \ u)). a(x,y,z) \ (u \ (w * a(x,y,z))) = a(x,y,z) * (u \ (a(x,y,z) \ w)). a(x,y,z) \ (u \ (a(x,y,z) * w)) = a(x,y,z) * (u \ (a(x,y,z) \ w)). L(x,a(y,z,u),a(w,v5,v6)) * (a(y,z,u) \ a(w,v5,v6)) = (x * (a(y,z,u) \ 1)) * a(w,v5,v6). x * (a(y,z,u) \ a(w,v5,v6)) = (x * (a(y,z,u) \ 1)) * a(w,v5,v6). (x * (a(y,z,u) \ 1)) * a(w,v5,v6) = x * (a(y,z,u) \ a(w,v5,v6)). (a(x,y,z) \ u) * a(w,v5,v6) = u * (a(x,y,z) \ a(w,v5,v6)). a(x,y,z) * (a(u,w,v5) \ v6) = v6 * (a(u,w,v5) \ a(x,y,z)). (x \ (y \ a(z,u,w))) * a(a(z,u,w),v5,v6) != v7 | x \ (y \ L(a(z,u,w),v5,v6)) = v7. a(x,y,z) \ (u \ L(a(w,v5,v6),v7,v8)) = (u \ a(w,v5,v6)) * (a(x,y,z) \ a(a(w,v5,v6),v7,v8)). (x \ a(y,z,u)) * (a(w,v5,v6) \ a(a(y,z,u),v7,v8)) = a(w,v5,v6) \ (x \ L(a(y,z,u),v7,v8)). x != y * (a(z,u,w) \ a(v5,v6,v7)) | (a(z,u,w) \ a(v5,v6,v7)) * y = x. (a(x,y,z) \ a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) \ v6). x * (a(y,z,u) \ a(w,v5,v6)) != v7 | (a(y,z,u) \ x) * a(w,v5,v6) = v7. a(a(x,y,z),u,w) * (a(x,y,z) \ v5) = v5 * L(a(x,y,z) \ 1,u,w). a((a(x,y,z) * (a(u,w,v5) \ (v6 * v7))) * (((a(u,w,v5) \ a(x,y,z)) * v6) * v7),v8,v9) = a(a(a(u,w,v5) \ a(x,y,z),v6,v7),v8,v9). x != y * L(z,y,y * L(y,u,w)) | L(y * z,y,y * L(y,u,w)) = x. L(x * (a(y,z,u) \ 1),x,x * L(x,w,v5)) = a(a(y,z,u),x,x * L(x,w,v5)) * (a(y,z,u) \ x). a(a(x,y,z),u,u * L(u,w,v5)) * (a(x,y,z) \ u) = L(u * (a(x,y,z) \ 1),u,u * L(u,w,v5)). (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5) = a(y,z,u) \ (x \ L(a(y,z,u),w,v5)). (a(x,y,z) \ u) \ (w \ ((a(x,y,z) \ w) * T(u,a(x,y,z) \ 1))) = a(w,a(x,y,z) \ 1,u). (a(x,y,z) \ u) \ (w \ ((a(x,y,z) \ w) * u)) = a(w,a(x,y,z) \ 1,u). (a(x,y,z) \ u) \ (w \ ((a(x,y,z) \ w) * u)) != v5 | a(w,a(x,y,z),u) = v5. 1 * (a(x,y,z) \ u) = L(u * (a(x,y,z) \ 1),u,u * L(u,w,v5)). L(x * (a(y,z,u) \ 1),x,x * L(x,w,v5)) = 1 * (a(y,z,u) \ x). a(x,y,z) \ u = L(u * (a(x,y,z) \ 1),u,u * L(u,w,v5)). L(x * (a(y,z,u) \ 1),x,x * L(x,w,v5)) = a(y,z,u) \ x. L(a(x,y,z) \ u,u,u * L(u,w,v5)) = a(x,y,z) \ u. L(a(x,y,z) \ u,u,a(u,w,v5)) = a(x,y,z) \ u. L(L(x,y,z) \ x,u,a(w,v5,v6)) * (u * (a(w,v5,v6) \ 1)) = a(w,v5,v6) \ ((L(x,y,z) \ x) * u). a((x * T(a(y,z,u) * K(w,w \ v5),v5)) \ v6,v7,v8) = a(K(w \ v5,w) * ((a(y,z,u) \ x) \ v6),v7,v8). ((x * y) * a(y,z,u)) \ (T(x,a(y,z,u)) * (y * a(y,z,u))) = a(y,a(y,z,u),x). ((x * y) * a(y,z,u)) \ (x * (y * a(y,z,u))) = a(y,a(y,z,u),x). a(x,y,a(y,z,u)) \ 1 = a(y,a(y,z,u),x). a(a(x,y,z),x,u) = a(x,a(x,y,z),u). x \ 1 != a(y,a(z,u,w),v5) | a(v5,a(z,u,w),y) = x. a(x,a(y,z,u),y) = a(x,y,a(y,z,u)). x != a(y,z,u) * (u \ L(a(y,z,u) \ u,w,v5)) | u * (a(y,z,u) \ L(u \ a(y,z,u),w,v5)) = x. x * (a(y,z,x) \ L(x \ a(y,z,x),u,w)) = (1 / x) \ (a(y,z,x) * L(a(y,z,x) \ (1 / x),u,w)). (1 / x) \ (a(y,z,x) * L(a(y,z,x) \ (1 / x),u,w)) = x * (a(y,z,x) \ L(x \ a(y,z,x),u,w)). (a(x,y,z) * (u * a(w,v5,v6))) \ (a(x,y,z) * ((u * v7) * a(w,v5,v6))) = L(v7,u,a(x,y,z) * a(w,v5,v6)). x \ y != L(z,u,w * w) | x * z = y. (a(x,y,z) * (u * a(x,y,z))) * w = a(x,y,z) * ((u * w) * a(x,y,z)). (x * (y * a(z,u,w))) \ (x * ((y * v5) * a(z,u,w))) != v6 | L(L(v5,y,a(z,u,w)),y * a(z,u,w),x) = v6. L(L(x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) = L(x,y,a(v5,v6,v7) * a(z,u,w)). (a(x,y,z) * (u * a(x,y,z))) * (a(x,y,z) \ w) != v5 | u * (a(x,y,z) * w) = v5. x * (a(y,z,u) * w) = a(y,z,u) * ((x * (a(y,z,u) \ w)) * a(y,z,u)). a(x,y,z) * ((u * (a(x,y,z) \ w)) * a(x,y,z)) = u * (a(x,y,z) * w). a(x,y,z) * (a(x,y,z) * (u * (a(x,y,z) \ w))) = u * (a(x,y,z) * w). a(x,y,z) \ (u * w) = a(x,y,z) * (u * (a(x,y,z) \ (a(x,y,z) \ w))). a(x,y,z) * (u * (a(x,y,z) \ (a(x,y,z) \ w))) = a(x,y,z) \ (u * w). L(L(x,y,a(z,u,w)),a(z,u,w) * y,a(v5,v6,v7)) = L(x,y,a(v5,v6,v7) * a(z,u,w)). x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) = a(x,a(v5,v6,v7) * y,a(z,u,w)) * a(x,y,a(v5,v6,v7)). a(x,a(y,z,u) * w,a(v5,v6,v7)) * a(x,w,a(y,z,u)) = x \ L(x,w,a(v5,v6,v7) * a(y,z,u)). a(x,y,L(a(z,u,w),w \ L(w,u,z),w \ L(w,u,z))) = a(x,y,w * L(w \ a(z * u,w,a(z,u,w)),u,z)). x != a(y,z,u * L(w \ a(v5,v6,a(v7,v8,v9)),v10,v11)) | a(y,z,L(w,v10,v11) * u) = x. a(x,y,L(z,u,w) * z) = a(x,y,L(a(w,u,z),z \ L(z,u,w),z \ L(z,u,w))). a(x,y,L(a(z,u,w),w \ L(w,u,z),w \ L(w,u,z))) = a(x,y,L(w,u,z) * w). a(x,y,z * L(z,u,w)) = a(x,y,L(a(w,u,z),z \ L(z,u,w),z \ L(z,u,w))). a(x,y,L(a(z,u,w),w \ L(w,u,z),w \ L(w,u,z))) = a(x,y,w * L(w,u,z)). a(x,y,L(a(z,u,w),v5,v6)) != v7 | a(x,y,a(z,u,w)) = v7. a(x,y,a(z,u,w)) = a(x,y,w * L(w,u,z)). a(x,y,z * L(z,u,w)) = a(x,y,a(w,u,z)). a(x,y,y * L(y,z,u)) != w | a(x,y * L(y,z,u),y) = w. a(x,y * L(y,z,u),y) = a(x,y,a(u,z,y)). a(x,y,z * L(z,u,w)) != v5 | a(x,y,L(z,u,w) \ z) = v5. a(x,y,L(z,u,w) \ z) = a(x,y,a(w,u,z)). a(a(x,y,z),u,w * L(w,v5,v6)) != v7 | 1 = v7. 1 = a(a(x,y,z),u,a(w,v5,v6)). a(a(x,y,z),u,a(w,v5,v6)) = 1. a(x,y,L(z,u,w) * L(L(z,u,w),v5,v6)) != v7 | a(x,y,L(z * L(z,v5,v6),u,w)) = v7. a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,a(w,u,L(z,v5,v6))). a(x,y * (L(y,z,u) * a(w,v5,a(u,z,y))),v6) = a(x,L(y * L(y,z,u),v5,w),v6). L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z). x \ y != L(a(z,u,w),v5,a(v6,v7,v8)) | x * a(z,u,w) = y. (a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)). (a(x,y,z) * u) * a(w,v5,v6) != v7 | a(x,y,z) * (u * a(w,v5,v6)) = v7. (x * a(y,z,u)) * a(w,v5,v6) = a(y,z,u) * (x * a(w,v5,v6)). L(a(x,y,z) * u,a(w,v5,v6),a(v7,v8,v9)) * (a(w,v5,v6) * a(v7,v8,v9)) = (a(x,y,z) * (u * a(w,v5,v6))) * a(v7,v8,v9). a(x,y * L(y * a(z,u,a(w,v5,y)),v5,w),v6) = a(x,L(y * L(y,v5,w),u,z),v6). a(x,y * L(z * a(u,w,a(v5,v6,v7)),v8,v9),v10) != v11 | a(x,y * L(z,v8,v9),v10) = v11. a(x,y * L(y,z,u),w) = a(x,L(y * L(y,z,u),v5,v6),w). a(x,L(y * L(y,z,u),w,v5),v6) = a(x,y * L(y,z,u),v6). a(x,a(y,z,u),w) = a(x,u * L(u,z,y),w). a(x,y * L(y,z,u),w) = a(x,a(u,z,y),w). a(x,y * L(y,z,u),w) != v5 | a(x,a(u,z,y),w) = v5. a(x,y * L(y,z,u),y) != w | a(x,y,a(u,z,y)) = w. a(x,y,a(z,u,y)) = a(x,a(z,u,y),y). a(x,a(y,z,u),u) = a(x,u,a(y,z,u)). a(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) != v7 | a(x,L(y * L(y,w,v5),z,u),v6) = v7. a(x,L(y * L(y,z,u),w,v5),v6) = a(x,a(u,z,L(y,w,v5)),v6). a(x,y,L(z,u,w)) != v5 | L(L(z \ L(z,y,x),u,w) \ 1,L(L(z,u,w),y,x),x * y) = v5. L(L(x \ L(x,a(y,z,L(x,u,w)),v5),u,w) \ 1,L(L(x,u,w),a(y,z,L(x,u,w)),v5),v5 * a(y,z,L(x,u,w))) = a(v5,L(x,u,w),a(y,z,L(x,u,w))). a(x,L(y * L(y,z,u),w,v5),v6) != v7 | a(x,y * L(y,z,u),v6) = v7. a(x,y * L(y,z,u),w) = a(x,a(u,z,L(y,v5,v6)),w). a(x,a(y,z,L(u,w,v5)),v6) = a(x,u * L(u,z,y),v6). a(x,a(y,z,L(u,w,v5)),v6) != v7 | a(x,a(y,z,u),v6) = v7. L(a(x,y,z),u,L(a(w,v5,v6),v7,v8)) * ((L(a(w,v5,v6),v7,v8) \ 1) * u) = L(a(w,v5,v6),v7,v8) \ (u * a(x,y,z)). L(a(x,y,z),u,a(w,v5,v6)) * ((L(a(w,v5,v6),v7,v8) \ 1) * u) = L(a(w,v5,v6),v7,v8) \ (u * a(x,y,z)). a(x,y,z) * ((L(a(u,w,v5),v6,v7) \ 1) * v8) = L(a(u,w,v5),v6,v7) \ (v8 * a(x,y,z)). a(x,y,z) * (L(a(u,w,v5),v6,v7) \ v8) = L(a(u,w,v5),v6,v7) \ (v8 * a(x,y,z)). L(a(x,y,z),u,w) \ (v5 * a(v6,v7,v8)) = a(v6,v7,v8) * (L(a(x,y,z),u,w) \ v5). (a(x,y,z) * u) * (a(w,v5,v6) * a(v7,v8,v9)) = (a(x,y,z) * (u * a(w,v5,v6))) * a(v7,v8,v9). (a(x,y,z) * (u * a(w,v5,v6))) * a(v7,v8,v9) = (a(x,y,z) * u) * (a(w,v5,v6) * a(v7,v8,v9)). a(x,y,z) * ((u * a(w,v5,v6)) * a(v7,v8,v9)) = (a(x,y,z) * u) * (a(w,v5,v6) * a(v7,v8,v9)). (a(x,y,z) * u) * (a(w,v5,v6) * a(v7,v8,v9)) = a(x,y,z) * ((u * a(w,v5,v6)) * a(v7,v8,v9)). (a(x,y,z) * u) * (a(w,v5,v6) * a(v7,v8,v9)) = a(x,y,z) * (a(w,v5,v6) * (u * a(v7,v8,v9))). x != (y \ (z * L(z \ y,u,w))) \ 1 | L(y \ z,u,w) \ (y \ z) = x. L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)) = L(a(y,z,u) * ((v6 * v6) \ x),w,v5) \ (a(y,z,u) * ((v6 * v6) \ x)). L(a(x,y,z) * ((u * u) \ w),v5,v6) \ (a(x,y,z) * ((u * u) \ w)) = L(w \ a(x,y,z),v5,v6) \ (w \ a(x,y,z)). L(a(x,y,z) * ((u * u) \ w),v5,v6) \ v7 != v8 | L(w * a(x,y,z),v5,v6) \ ((u * u) * v7) = v8. L(x * a(y,z,u),w,v5) \ ((v6 * v6) * (a(y,z,u) * ((v6 * v6) \ x))) = L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)). L(x * a(y,z,u),w,v5) \ (T(a(y,z,u),v6 \ (v6 \ 1)) * x) = L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)). L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x) = L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)). L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)) = L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x). x \ (a(y,z,u) * L(a(y,z,u) \ (x \ L(x,x,a(y,z,u))),w,v5)) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). x \ (a(y,z,u) * L(a(y,z,u) \ a(x,x,a(y,z,u)),w,v5)) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). x \ (a(a(y,z,u),w,v5) * a(x,x,a(y,z,u))) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). a(a(x,y,z),u,w) * (v5 \ a(v5,v5,a(x,y,z))) = (v5 \ a(x,y,z)) * L(a(x,y,z) \ 1,u,w). L(x \ a(a(y,z,u),w,v5),x,a(y,z,u)) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). L(x \ a(a(y,z,u),w,v5),x,a(y,z,u)) != v6 | (x * a(y,z,u)) \ L(a(y,z,u),w,v5) = v6. (x * a(y,z,u)) \ L(a(y,z,u),w,v5) = (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5). (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5) = (x * a(y,z,u)) \ L(a(y,z,u),w,v5). (x \ a(y,z,u)) * L(a(y,z,u) \ 1,w,v5) != v6 | a(y,z,u) \ (x \ L(a(y,z,u),w,v5)) = v6. a(x,y,z) \ (u \ L(a(x,y,z),w,v5)) = (u * a(x,y,z)) \ L(a(x,y,z),w,v5). (x * a(y,z,u)) \ L(a(y,z,u),w,v5) = a(y,z,u) \ (x \ L(a(y,z,u),w,v5)). (a(x,y,z) * u) \ L(a(x,y,z),w,v5) = a(x,y,z) \ (u \ L(a(x,y,z),w,v5)). x \ L(a(y,z,u),w,v5) != v6 | (x \ a(y,z,u)) * a(a(y,z,u),w,v5) = v6. ((a(x,y,z) * u) \ a(x,y,z)) * a(a(x,y,z),w,v5) = a(x,y,z) \ (u \ L(a(x,y,z),w,v5)). x * a(a(y,z,u),w,v5) != v6 \ (v7 \ L(a(y,z,u),w,v5)) | v6 \ (v7 \ a(y,z,u)) = x. a(x,y,z) \ (u \ a(x,y,z)) = (a(x,y,z) * u) \ a(x,y,z). (a(x,y,z) * u) \ a(x,y,z) = a(x,y,z) \ (u \ a(x,y,z)). a(x,a(y,z,u) \ (w \ a(y,z,u)),v5) = a(x,a(y,z,u) * (a(y,z,u) * w),v5). a(x,a(y,z,u) \ ((w * (a(y,z,u) \ v5)) \ a(y,z,u)),v6) = a(x,w * (a(y,z,u) * v5),v6). a(x,a(y,z,u) \ (w \ a(y,z,u)),v5) != v6 | a(x,w,v5) = v6. a(x,y * (a(z,u,w) \ v5),v6) = a(x,y * (a(z,u,w) * v5),v6). a((x * (y * a(z,u,w))) \ ((a(z,u,w) \ y) * (x * v5)),v6,v7) = a(L(K(y,x) * v5,x,a(z,u,w) \ y),v6,v7). a((x * (y * a(z,u,w))) \ ((a(z,u,w) \ y) * (x * v5)),v6,v7) = a(L(K(y,x) * v5,x,a(z,u,w) * y),v6,v7). x != a(L(K(y,z) * u,w,v5),v6,v7) | a(L(u,w,v5),v6,v7) = x. a(L(x,y,a(z,u,w) * v5),v6,v7) = a((y * (v5 * a(z,u,w))) \ ((a(z,u,w) \ v5) * (y * x)),v6,v7). a((x * (y * a(z,u,w))) \ ((a(z,u,w) \ y) * (x * v5)),v6,v7) = a(L(v5,x,a(z,u,w) * y),v6,v7). ((a(x,y,z) \ 1) * (u * a(x,y,z))) * a(w * a(x,y,z),(a(x,y,z) * w) \ w,u * a(x,y,z)) = L(u,a(x,y,z),w). ((1 * a(x,y,z)) * (a(x,y,z) \ u)) * a(w * a(x,y,z),(a(x,y,z) * w) \ w,u * a(x,y,z)) = L(u,a(x,y,z),w). (a(x,y,z) * (a(x,y,z) \ u)) * a(w * a(x,y,z),(a(x,y,z) * w) \ w,u * a(x,y,z)) = L(u,a(x,y,z),w). x * a(y * a(z,u,w),(a(z,u,w) * y) \ y,x * a(z,u,w)) = L(x,a(z,u,w),y). x * a(y * a(z,u,w),a(z,u,w) \ 1,x * a(z,u,w)) = L(x,a(z,u,w),y). x * a(y * a(z,u,w),a(z,u,w),x * a(z,u,w)) = L(x,a(z,u,w),y). x / T(L(a(y,z,u) \ 1,w,v5) \ v6,L(a(y,z,u) \ 1,w,v5) * (v6 \ x)) = (v6 * (L(a(y,z,u) \ 1,w,v5) \ 1)) \ x. x / T(L(a(y,z,u) \ 1,w,v5) \ v6,a(y,z,u) \ (v6 \ x)) = (v6 * (L(a(y,z,u) \ 1,w,v5) \ 1)) \ x. x / T(L(a(y,z,u) \ 1,w,v5) \ v6,v6 \ x) = (v6 * (L(a(y,z,u) \ 1,w,v5) \ 1)) \ x. x / T(L(a(y,z,u) \ 1,w,v5) \ v6,v6 \ x) = (L(a(y,z,u) \ 1,w,v5) \ v6) \ x. L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)) = L((x \ L(x,y,z)) \ 1,u,w) * L(1,u,w). L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)) = L((x \ L(x,y,z)) \ 1,u,w) * 1. L((x \ L(x,y,z)) \ 1,u,w) = L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)). L(L((x \ L(x,y,z)) \ 1,u,w),v5,a(v6,v7,v8)) = L((x \ L(x,y,z)) \ 1,u,w). L(L(L(x,y,z) \ x,u,w),v5,a(v6,v7,v8)) = L((x \ L(x,y,z)) \ 1,u,w). L(L(L(x,y,z) \ x,u,w),v5,a(v6,v7,v8)) = L(L(x,y,z) \ x,u,w). L(L(x,y,z) \ x,u,a(w,v5,v6)) = L(x,y,z) \ x. L(L(x,y,z) \ x,u,w) * ((L(x,y,z) \ x) \ v5) = (v5 / L(L(x,y,z) \ x,v6,a(v7,v8,v9))) * L(L(x,y,z) \ x,u,w). (x / L(L(y,z,u) \ y,w,a(v5,v6,v7))) * L(L(y,z,u) \ y,v8,v9) = L(L(y,z,u) \ y,v8,v9) * ((L(y,z,u) \ y) \ x). (L(x,y,z) \ x) * (a(u,w,v5) * v6) = ((L(x,y,z) \ x) * v6) * a(u,w,v5). ((L(x,y,z) \ x) * u) * a(w,v5,v6) = (L(x,y,z) \ x) * (a(w,v5,v6) * u). (L(x,y,z) \ x) * (u * (a(w,v5,v6) \ 1)) = a(w,v5,v6) \ ((L(x,y,z) \ x) * u). ((L(x,y,z) \ x) * u) * a(x,x * L(x,y,z),u) != w | x \ ((L(1 / x,y,z) \ 1) * u) = w. x \ ((L(1 / x,y,z) \ 1) * u) = (L(x,y,z) \ x) * (a(x,x * L(x,y,z),u) * u). (L(x,y,z) \ x) * (a(x,x * L(x,y,z),u) * u) = x \ ((L(1 / x,y,z) \ 1) * u). (L(x,y,z) \ x) * (a(u,w,v5) \ v6) = a(u,w,v5) \ ((L(x,y,z) \ x) * v6). a(x,y,z) \ ((L(u,w,v5) \ u) * v6) = (L(u,w,v5) \ u) * (a(x,y,z) \ v6). x \ ((L(y,z,u) \ y) * w) != v5 | x \ (w * (L(y,z,u) \ y)) = v5. a(x,y,z) \ (u * (L(w,v5,v6) \ w)) = (L(w,v5,v6) \ w) * (a(x,y,z) \ u). x != L(L(y,z,u) \ y,w,v5) * ((L(y,z,u) \ y) \ v6) | L(y \ L(y,z,u),w,v5) * ((y \ L(y,z,u)) \ v6) = x. L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = (v5 / L(L(x,y,z) \ x,v6,a(v7,v8,v9))) * L(L(x,y,z) \ x,u,w). (x / L(L(y,z,u) \ y,w,a(v5,v6,v7))) * L(L(y,z,u) \ y,v8,v9) = L(y \ L(y,z,u),v8,v9) * ((y \ L(y,z,u)) \ x). (x / (L(y,z,u) \ y)) * L(L(y,z,u) \ y,w,v5) = L(y \ L(y,z,u),w,v5) * ((y \ L(y,z,u)) \ x). L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = (v5 / (L(x,y,z) \ x)) * L(L(x,y,z) \ x,u,w). L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = ((L(x,y,z) \ x) \ v5) * L(L(x,y,z) \ x,u,w). L(x * a(y,z,u * L(u,w,v5)),a(u * L(u,w,v5),z,y),u * L(u,w,v5)) = L(u * L(u,w,v5),z,y) \ ((u * L(u,w,v5)) * x). L((x \ L(x,y,z)) \ (u * a(w,v5,x * L(x,y,z))),x \ L(x,y,z),a(x * L(x,y,z),v5,w)) = L(x \ L(x,y,z),v5,w) \ u. a((a(x,y,z) * (a(u,w,v5) \ (v6 * v7))) * ((a(x,y,z) * (a(u,w,v5) \ v6)) * v7),v8,v9) = a(a(a(u,w,v5) \ a(x,y,z),v6,v7),v8,v9). x * a(y,z,u * L(u,w,v5)) = L(u * L(u,w,v5),z,y) \ ((u * L(u,w,v5)) * x). L(x * L(x,y,z),u,w) \ ((x * L(x,y,z)) * v5) = v5 * a(w,u,x * L(x,y,z)). (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5) = v5 * a(w,u,x * L(x,y,z)). L(a(x,y,z * L(z,u,w)) * ((z \ L(z,u,w)) \ v5),z \ L(z,u,w),a(z * L(z,u,w),y,x)) = L(z \ L(z,u,w),y,x) \ v5. a(x * ((a(y,z,u) * w) * v5),v6,v7) != v8 | a(x * (w * (v5 * a(y,z,u))),v6,v7) = v8. a((a(x,y,z) * (a(u,w,v5) \ (v6 * v7))) * ((a(u,w,v5) \ v6) * (v7 * a(x,y,z))),v8,v9) = a(a(a(u,w,v5) \ a(x,y,z),v6,v7),v8,v9). a(x,y,z * L(z,u,w)) * ((z \ L(z,u,w)) \ v5) = L(z \ L(z,u,w),y,x) \ v5. a(x,y,z * L(z,u,w)) = L(z \ L(z,u,w),y,x) \ (z \ L(z,u,w)). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,x * L(x,y,z)). a(x,y,z * L(z,u,w)) * (L(z,u,w) \ z) = L(z \ L(z,u,w),y,x) \ 1. a(x,y,a(z,u,w)) * ((w \ L(w,u,z)) \ v5) = L(w \ L(w,u,z),y,x) \ v5. x != a(y,z,u * L(u,w,v5)) | L(u * L(u,w,v5),z,y) \ (u * L(u,w,v5)) = x. L(x * L(x,y,z),u,w) \ (x * L(x,y,z)) = L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). x != a(y,z,u * L(u,w,v5)) | a(y,z,a(v5,w,u)) = x. a(x,y,a(z,u,w)) = L(w \ L(w,u,z),y,x) \ (w \ L(w,u,z)). L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) = a(w,u,a(z,y,x)). x \ y != a(z,u,a(z,w,v5)) | y = x. x \ L(x,y,z) = L(x \ L(x,y,z),u,z). L(x \ L(x,y,z),u,z) = x \ L(x,y,z). x \ y != L(z \ L(z,u,w),v5,v6) \ (z \ L(z,u,w)) | x * a(v6,v5,a(w,u,z)) = y. L(L(x,y,z) \ x,u,w) * a(w,u,a(z,y,x)) = L(x,y,z) \ x. x \ y != L(z \ L(z,u,w),v5,w) | x * (z \ L(z,u,w)) = y. L(x,y,z) * (x \ L(x,u,z)) = L(L(x,y,z),u,z). L(x \ L(x,y,z),u,z) \ 1 = L(x,y,z) \ x. x * (L(L(x,y,z),y,z) \ u) = (L(x,y,z) * L(x \ 1,y,z)) \ u. (L(x,y,z) * L(x \ 1,y,z)) \ u = x * (L(L(x,y,z),y,z) \ u). L((L(x,y,z) \ x) * a(u,w,a(z,y,x)),w,u) = L(x,y,z) \ x. L(x * (L(x,y,z) \ a(u,w,a(z,y,x))),w,u) = L(x,y,z) \ x. L(x,y,z) \ x != L(u,w,v5) | x * (L(x,y,z) \ a(v5,w,a(z,y,x))) = u. L(x,y,z) != L(u,w,v5) \ u | u * (L(u,w,v5) \ a(z,y,a(v5,w,u))) = x. (L(x,y,z) \ x) * a(u,w,x * L(x,y,z)) = L(x \ L(x,y,z),w,u) \ 1. a(x,y,a(z,u,w * L(w,v5,v6)) * ((L(w,v5,v6) \ w) * a(v7,v8,a(v9,v10,v11)))) = a(x,y,L(w \ L(w,v5,v6),u,z) \ 1). a(x,y,a(z,u,w)) * (L(w,u,z) \ w) = L(w \ L(w,u,z),y,x) \ 1. a(x,y,a(z,u,w)) * (v5 * (L(w,u,z) \ w)) = v5 * (L(w \ L(w,u,z),y,x) \ 1). a(x,y,a(z,u,w)) * (L(w,u,z) \ w) = L(w \ L(w,u,z),y,L(x,v5,v6)) \ 1. L(x \ L(x,y,z),u,L(w,v5,v6)) \ 1 = a(w,u,a(z,y,x)) * (L(x,y,z) \ x). x \ y != (L(z,u,w) \ z) * a(v5,v6,z * L(z,u,w)) | x * (L(z \ L(z,u,w),v6,v5) \ 1) = y. L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1) = x * L(a(w,u,x * L(x,y,z)),L(x,y,z) \ x,L(x,y,z)). x * L(a(y,z,x * L(x,u,w)),L(x,u,w) \ x,L(x,u,w)) = L(x,u,w) * (L(x \ L(x,u,w),z,y) \ 1). L(a(x,y,z * L(z,u,w)) \ ((L(z,u,w) \ z) \ v5),a(x,y,z * L(z,u,w)),L(z,u,w) \ z) = (L(z \ L(z,u,w),y,x) \ 1) \ v5. x != a(y,z,a(u,w,v5)) * (L(v5,w,u) \ v5) | L(v5 \ L(v5,w,u),z,y) \ 1 = x. L(x \ L(x,y,z),u,w) \ 1 = L(x \ L(x,y,z),u,L(w,v5,v6)) \ 1. L(x \ L(x,y,z),u,L(w,v5,v6)) \ 1 = L(x \ L(x,y,z),u,w) \ 1. L(x \ L(x,y,z),u,w) \ (x \ L(x,y,z)) != v5 | L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = v5. L(L(x,y,z) \ x,u,w) \ (L(x,y,z) \ x) = L(x * L(x,y,z),u,w) \ (x * L(x,y,z)). (L(x * L(x,y,z),u,w) \ (x * L(x,y,z))) * (x \ L(x,y,z)) = L(L(x,y,z) \ x,u,w) \ 1. a(x,y,z * L(z,u,w)) * (z \ L(z,u,w)) = L(L(z,u,w) \ z,y,x) \ 1. a(x,y,z * L(z,u,w)) * (z \ L(z,u,w)) != v5 | y \ (x \ ((x * y) * (z \ L(z,u,w)))) = v5. x \ (y \ ((y * x) * (z \ L(z,u,w)))) = L(L(z,u,w) \ z,x,y) \ 1. x * L(a(y,z,x * L(x,u,w)),x * L(x,u,w),L(x,u,w)) = L(x,u,w) * (L(x \ L(x,u,w),z,y) \ 1). x * a(y,z,x * L(x,u,w)) = L(x,u,w) * (L(x \ L(x,u,w),z,y) \ 1). L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1) = x * a(w,u,x * L(x,y,z)). T(x * a(y,z,x * L(x,u,w)),L(x,u,w)) = L(x,z,y) * (L(L(x,z,y),u,w) \ L(x,u,w)). T(x * a(y,z,x * L(x,u,w)),x) = L(x,z,y) * (L(L(x,z,y),u,w) \ L(x,u,w)). T(x * a(y,z,u),x) != w | a(y,z,u) * x = w. a(x,y,z * L(z,u,w)) * z = L(z,y,x) * (L(L(z,y,x),u,w) \ L(z,u,w)). L(x,y,z) * (L(L(x,y,z),u,w) \ L(x,u,w)) = a(z,y,x * L(x,u,w)) * x. L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1) = a(z,y,x * L(x,u,w)) * x. L(x,y,z) * (L(x \ L(x,y,z),u,w) \ 1) != v5 | x * a(w,u,x * L(x,y,z)) = v5. x * a(y,z,x * L(x,u,w)) = a(w,u,x * L(x,z,y)) * x. a(x,y,z * L(z,u,w)) * z = z * a(w,u,z * L(z,y,x)). a(x,y,a(z,u,w)) * w = w * a(z,u,w * L(w,y,x)). x * a(y,z,x * L(x,u,w)) = a(w,u,a(y,z,x)) * x. x * a(y,z,a(u,w,x)) = a(u,w,a(y,z,x)) * x. a(x,y,a(z,u,w)) * w = w * a(z,u,a(x,y,w)). x * y != y * a(z,u,w) | a(z,u,w) = x. a(x,y,a(z,u,w)) = a(z,u,a(x,y,w)). x \ y != a(z,u,a(w,v5,v6)) | x * a(w,v5,a(z,u,v6)) = y. x * a(y,z,a(x,u,w)) = L(x,u,a(y,z,w)). a(x,y,a(z,u,w)) * v5 != v6 | v5 * a(z,u,a(x,y,w)) = v6. x = L(x,y,a(z,u,x)). L(x,y,a(z,u,x)) = x. L(L(x,y,z),y,a(z,y,L(x,y,z))) != u | (a(z,y,L(x,y,z)) * y) \ (y * x) = u. (a(x,y,L(z,y,x)) * y) \ (y * z) = L(z,y,x). a(x,y,z) / z = a(x,y,z) * (1 / z). a(x,y,z) * (1 / z) = a(x,y,z) / z. a(x,y,z) \ (u * z) = (a(x,y,z) \ u) * z. (a(x,y,z) * u) * L(z,w,v5) = a(x,y,z) * (u * L(z,w,v5)). L(x \ 1,y,a(z,u,x)) = x \ 1. x * (y * a(z,u,x)) = (x * y) * a(z,u,x). (x * y) * a(z,u,x) = x * (y * a(z,u,x)). L(x \ 1,y,z) = L(L(x \ 1,y,z),u,a(w,v5,x)). L(L(x \ 1,y,z),u,a(w,v5,x)) = L(x \ 1,y,z). (1 / x) * a(y,z,x) = a(y,z,x) / x. L(a(x,y,z) \ z,a(x,y,z),z) = (a(x,y,z) / z) \ 1. a(x,x \ y,z) \ (y * z) != u | x * ((x \ y) * z) = u. x * ((x \ y) * z) = (a(x,x \ y,z) \ y) * z. (a(x,x \ y,z) \ y) * z = x * ((x \ y) * z). x \ (y \ ((y * z) * T(x,z))) = z * a(y,z,x). a(x,y,z) * (z * u) = z * (u * a(x,y,z)). x \ (y * a(z,u,x)) = (x \ y) * a(z,u,x). x \ a(y,z,x) = (x \ 1) * a(y,z,x). (x \ 1) * a(y,z,x) = x \ a(y,z,x). (1 / x) \ a(y,z,x) = x * a(y,z,x). L(a(x,y,z),u,w) \ (v5 * (v6 * a(v7,v8,v5))) = a(v7,v8,v5) * (L(a(x,y,z),u,w) \ (v5 * v6)). a(x,y,z) * (z \ 1) = z \ a(x,y,z). a(x * L(y * a(z,u,y),w,v5),v6,v7) = a(x * L((y \ 1) \ a(z,u,y),w,v5),v6,v7). a(x * L((y \ 1) \ a(z,u,y),w,v5),v6,v7) = a(x * L(y * a(z,u,y),w,v5),v6,v7). (a(x,y,z) * ((z \ 1) * (u * u))) * w = (z \ a(x,y,z)) * ((u * u) * w). x != R(y,z,u) * w | y * (R(y,z,u) * (y \ w)) = x. x * (R(x,y,z) * (x \ (u * a(w,v5,R(x,y,z))))) = a(w,v5,R(x,y,z)) * (R(x,y,z) * u). a(x,y,z) * (z * u) != z * w | u * a(x,y,z) = w. L(1 / a(x,y,z),u,w) * (z * (v5 * a(x,y,z))) = a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * (z * v5)). (x \ y) * a(z,u,x) != w | x \ (a(z,u,x) * y) = w. (x * a(y,x,L(z,x,y))) \ (x * z) = L(z,x,y). L(x,y,z) \ (y * x) = T(a(z,y,L(x,y,z)) * y,x). T(a(x,y,L(z,y,x)) * y,z) = L(z,y,x) \ (y * z). (a(x,y,z) \ (x * y)) * z = x * ((x \ (x * y)) * z). (a(x,T(y,x),z) \ (y * x)) * z = x * ((x \ (y * x)) * z). x * (L(x,y,z) \ y) = a(z,y,L(x,y,z)) * y. a(x,y,L(z,y,x)) * y = z * (L(z,y,x) \ y). (x * (a(x,y,z) \ y)) * z = x * ((x \ (x * y)) * z). (x * (a(x,y,z) \ y)) * z = x * (y * z). L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))) = L(x,y,(z * (a(z,u,L(w \ L(w,v5,v6),v7,v8)) \ u)) * L(w * L(w,v5,v6),v7,v8)). L(x,y,(z * (a(z,u,L(w \ L(w,v5,v6),v7,v8)) \ u)) * L(w * L(w,v5,v6),v7,v8)) = L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))). (x * a(y,z,u)) \ (x * (w * a(y,z,u))) = L(a(x,w,a(y,z,u)) \ w,x,a(y,z,u)). L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = (x * a(z,u,w)) \ (x * (y * a(z,u,w))). L(x,a(y,z,u),u) != w | L(x,u,a(u,z,y)) = w. L(a(x,y,z) \ z,z,a(z,y,x)) = (a(x,y,z) / z) \ 1. L(a(x,y,z) \ u,u,a(u,w,v5)) != v6 | a(x,y,z) \ u = v6. a(x,y,z) \ z = (a(x,y,z) / z) \ 1. (a(x,y,z) / z) \ 1 = a(x,y,z) \ z. (a(x,y,z) / z) * L(a(x,y,z) \ z,u,w) = (a(x,y,z) / z) \ L(a(x,y,z) / z,u,w). (a(x,y,z) / z) \ L(a(x,y,z) / z,u,w) = (a(x,y,z) / z) * L(a(x,y,z) \ z,u,w). L(x \ ((x / 1) * (a(y,z,u) / u)),w,v5) \ (x \ ((x / 1) * (a(y,z,u) / u))) = (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1. (a(x,y,z) \ (y * x)) * z = x * ((x \ (y * x)) * z). ((a(x,y,z) \ y) * x) * z = x * ((x \ (y * x)) * z). ((a(x,y,z) \ y) * x) * z = x * (T(y,x) * z). a((x * (T(y,x) * (z * u))) \ w,v5,v6) = a((((a(x,y,z * u) \ y) * x) * (u * z)) \ w,v5,v6). a((((a(x,y,z * u) \ y) * x) * (u * z)) \ w,v5,v6) = a((x * (T(y,x) * (z * u))) \ w,v5,v6). a((x * (T(y,x) * (a(z,u,w) \ v5))) \ v6,v7,v8) = a((((a(x,y,a(z,u,w) \ v5) \ y) * x) * (v5 * a(z,u,w))) \ v6,v7,v8). a((((a(x,y,a(z,u,w) \ v5) \ y) * x) * (v5 * a(z,u,w))) \ v6,v7,v8) = a((x * (T(y,x) * (a(z,u,w) \ v5))) \ v6,v7,v8). R(x * K(a(y,z,u),x),a(y,z,u),L(u,w,v5)) = (a(y,z,u) * (x * L(u,w,v5))) / (a(y,z,u) * L(u,w,v5)). (a(x,y,z) * (z \ (u * u))) * w = (z \ a(x,y,z)) * ((u * u) * w). (x \ a(y,z,x)) * (u * u) = a(y,z,x) * (x \ (u * u)). L(a(x,y,z) * (z \ (u * u)),w,v5) * v6 = L(z \ a(x,y,z),w,v5) * ((u * u) * v6). a(x * L((y \ 1) \ z,u,w),v5,v6) != v7 | a(L(y \ z,u,w) * x,v5,v6) = v7. a(L(x \ a(y,z,x),u,w) * v5,v6,v7) = a(v5 * L(x * a(y,z,x),u,w),v6,v7). L(T(x,a(y,z,u)),a(y,z,u),w) = L(a(w,x,a(y,z,u)) \ x,w,a(y,z,u)). L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(T(y,a(z,u,w)),a(z,u,w),x). L(x,a(y,z,u),w) = L(a(w,x,a(y,z,u)) \ x,w,a(y,z,u)). L(a(x,y,a(z,u,w)) \ y,x,a(z,u,w)) = L(y,a(z,u,w),x). x != a(y,z,u) * (L(a(y,z,u),w,v5) \ v6) | v6 * a(v5,w,a(y,z,u)) = x. (x * y) * a(z,u,a(w,v5,x)) = L(a(w,v5,x),u,z) \ (x * (y * a(w,v5,x))). L(a(x,y,z),u,w) \ (z * (v5 * a(x,y,z))) = (z * v5) * a(w,u,a(x,y,z)). L(a(x,y,z),u,w) \ (z * (v5 * a(x,y,z))) != v6 | z * (v5 * a(w,u,a(x,y,z))) = v6. x * (R(x,y,z) * (x \ (u * a(w,v5,R(x,y,z))))) = a(w,v5,L(x,y,z)) * (R(x,y,z) * u). x \ (a(y,z,x) * L(a(y,z,x) \ x,u,w)) = (a(y,z,x) / x) * L(a(y,z,x) \ x,u,w). x * (R(x,y,z) * (x \ (u * a(w,v5,L(x,y,z))))) = a(w,v5,L(x,y,z)) * (R(x,y,z) * u). x \ (a(y,z,u) * L(a(y,z,u) \ x,w,v5)) != v6 | a(y,z,u) * (x \ L(a(y,z,u) \ x,w,v5)) = v6. a(x,y,z) * (z \ L(a(x,y,z) \ z,u,w)) = (a(x,y,z) / z) * L(a(x,y,z) \ z,u,w). (a(x,y,z) / z) * L(a(x,y,z) \ z,u,w) = a(x,y,z) * (z \ L(a(x,y,z) \ z,u,w)). R(x,y,z) * (u * a(w,v5,L(x,y,z))) = a(w,v5,L(x,y,z)) * (R(x,y,z) * u). a(x,y,L(z,u,w)) * (R(z,u,w) * v5) = R(z,u,w) * (v5 * a(x,y,L(z,u,w))). (R(x,y,z) * u) * a(w,v5,L(x,y,z)) = R(x,y,z) * (u * a(w,v5,L(x,y,z))). (x * R(y,z,u)) * a(w,v5,L(y,z,u)) = R(y,z,u) * (T(x,y) * a(w,v5,L(y,z,u))). R(x,y,z) * (T(u,x) * a(w,v5,L(x,y,z))) = (u * R(x,y,z)) * a(w,v5,L(x,y,z)). R(x,y,z) * (T(u,x) * a(w,v5,R(x,y,z))) = (u * R(x,y,z)) * a(w,v5,L(x,y,z)). a((((a(x,y,z * u) \ y) * x) * (u * z)) \ w,v5,v6) != v7 | a((x * (y * (z * u))) \ w,v5,v6) = v7. L(a(x,y,z) \ 1,u,w) * (z * (v5 * a(x,y,z))) = a(x,y,z) * (L(a(x,y,z) \ 1,u,w) * (z * v5)). L(a(x,y,z) \ 1,u,w) * (z * (v5 * a(x,y,z))) != v6 | a(a(x,y,z),u,w) * (z * v5) = v6. R(x,a(y,z,u),L(u,w,v5)) = (a(y,z,u) * (x * L(u,w,v5))) / (a(y,z,u) * L(u,w,v5)). (a(x,y,z) * (u * L(z,w,v5))) / (a(x,y,z) * L(z,w,v5)) = R(u,a(x,y,z),L(z,w,v5)). x != R(y,a(z,u,w),v5) | L(y,a(z,u,w),v5) = x. L(x,a(y,z,u),L(u,w,v5)) = (a(y,z,u) * (x * L(u,w,v5))) / (a(y,z,u) * L(u,w,v5)). (a(x,y,z) * (u * L(z,w,v5))) / (a(x,y,z) * L(z,w,v5)) = L(u,a(x,y,z),L(z,w,v5)). a(x,y,a(z,u,w * L(w,v5,v6)) * (w * (L(w,v5,v6) \ a(v7,v8,a(v9,v10,v11))))) = a(x,y,L(w \ L(w,v5,v6),u,z) \ 1). a(x,y,z * (u * (w \ a(v5,v6,a(v7,v8,v9))))) != v10 | a(x,y,z * (u * w)) = v10. a(x,y,a(z,u,w * L(w,v5,v6)) * (w * L(w,v5,v6))) = a(x,y,L(w \ L(w,v5,v6),u,z) \ 1). a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,a(v6,v5,z * L(z,u,w)) * (z * L(z,u,w))). a(x,y,a(z,u,w * L(w,v5,v6)) * (w * L(w,v5,v6))) = a(x,y,L(w \ L(w,v5,v6),u,z)). a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,a(v6,v5,z * L(z,u,w)) * (z * L(z,u,w))). a(x,y,a(z,u,w * L(w,v5,v6)) * (w * L(w,v5,v6))) = a(x,y,L(w * L(w,v5,v6),u,z)). x != a((y * (T(z,u) * w)) \ v5,v6,v7) | a((y * (z * w)) \ v5,v6,v7) = x. a((x * (y * (a(z,u,w) \ v5))) \ v6,v7,v8) = a((((a(x,y,a(z,u,w) \ v5) \ y) * x) * (v5 * a(z,u,w))) \ v6,v7,v8). a((((a(x,y,a(z,u,w) \ v5) \ y) * x) * (v5 * a(z,u,w))) \ v6,v7,v8) = a((x * (y * (a(z,u,w) \ v5))) \ v6,v7,v8). a((((a(x,y,a(z,u,w) * v5) \ y) * x) * (v5 * a(z,u,w))) \ v6,v7,v8) = a((x * (y * (a(z,u,w) \ v5))) \ v6,v7,v8). a((x * (y * (a(z,u,w) * v5))) \ v6,v7,v8) = a((x * (y * (a(z,u,w) \ v5))) \ v6,v7,v8). a((x * (y * (a(z,u,w) \ v5))) \ v6,v7,v8) = a((x * (y * (a(z,u,w) * v5))) \ v6,v7,v8). a((a(x,y,z) * u) \ w,v5,v6) != v7 | a((a(x,y,z) \ u) \ w,v5,v6) = v7. a((a(x,y,z) \ (u * (a(w,v5,v6) \ v7))) \ v8,v9,v10) = a((a(x,y,z) * (u * (a(w,v5,v6) * v7))) \ v8,v9,v10). a((a(x,y,z) * u) * (w * (v5 * a(x,y,z))),v6,v7) != v8 | a(u * (w * v5),v6,v7) = v8. a((a(x,y,z) \ (u * w)) * ((a(x,y,z) \ u) * w),v5,v6) = a(a(a(x,y,z) \ a(v7,v8,v9),u,w),v5,v6). a(a(a(x,y,z) \ a(u,w,v5),v6,v7),v8,v9) = a((a(x,y,z) \ (v6 * v7)) * ((a(x,y,z) \ v6) * v7),v8,v9). a(((a(x,y,z) \ u) * w) * (a(x,y,z) \ (u * w)),v5,v6) = a(a(a(x,y,z) \ a(v7,v8,v9),u,w),v5,v6). a(a(a(x,y,z) \ a(u,w,v5),v6,v7),v8,v9) = a(((a(x,y,z) \ v6) * v7) * (a(x,y,z) \ (v6 * v7)),v8,v9). x != a(y * (a(z,u,w) \ v5),v6,v7) | a(y * (v5 * a(z,u,w)),v6,v7) = x. a(((a(x,y,z) \ u) * w) * ((u * w) * a(x,y,z)),v5,v6) = a(a(a(x,y,z) \ a(v7,v8,v9),u,w),v5,v6). a(a(a(x,y,z) \ a(u,w,v5),v6,v7),v8,v9) = a(((a(x,y,z) \ v6) * v7) * ((v6 * v7) * a(x,y,z)),v8,v9). a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6) = a(a(a(x,y,z) \ a(v7,v8,v9),u,w),v5,v6). a(a(a(x,y,z) \ a(u,w,v5),v6,v7),v8,v9) = a(((a(x,y,z) \ v6) * v7) * (v6 * (v7 * a(x,y,z))),v8,v9). L(x,y,(z * (a(z,u,L(w * L(w,v5,v6),v7,v8)) \ u)) * L(w * L(w,v5,v6),v7,v8)) = L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))). L(x,y,z * (u * L(w * L(w,v5,v6),v7,v8))) = L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))). L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))) = L(x,y,z * (u * L(w * L(w,v5,v6),v7,v8))). L(x,y,z * (u * L(w * L(w,v5,v6),v7,v8))) != v9 | L(x,y,(u * L(w \ L(w,v5,v6),v7,v8)) * z) = v9. (x * (a(y,a(z,u,w),v5) * v6)) \ (x * (a(y,a(z,u,w),v5) * (v6 * v7))) = L(v7,L(v6,a(y,a(z,u,w),v5),x),x * a(y,a(z,u,w),v5)). (a(x,a(y,z,u),w) * (v5 * v6)) \ (a(x,a(y,z,u),w) * (v5 * (v6 * v7))) = L(v7,L(v6,v5,a(x,a(y,z,u),w)),a(x,a(y,z,u),w) * v5). x \ (y \ ((y * x) * (L(z,u,w) \ z))) = (L(z,u,w) \ z) * a(y,x,L(z,u,w) \ z). x \ (y \ ((y * x) * (L(z,u,w) \ z))) = (L(z,u,w) \ z) * a(y,x,z * L(z,u,w)). x != (L(y,z,u) \ y) * a(w,v5,y * L(y,z,u)) | L(y \ L(y,z,u),v5,w) \ 1 = x. L(x \ L(x,y,z),u,w) \ 1 = u \ (w \ ((w * u) * (L(x,y,z) \ x))). x \ (y \ ((y * x) * (L(z,u,w) \ z))) = L(z \ L(z,u,w),x,y) \ 1. L(L(x \ L(x,y,z),u,w) \ 1,u,w) = L(x,y,z) \ x. x * (L(x,y,z) \ a(u,w,a(z,y,x))) = L(x \ L(x,y,z),w,u) \ 1. a(x,y,z * R(z,u,w)) = L((z \ R(z,u,w)) \ L(z \ R(z,u,w),y,x),v5,v6) \ 1. L((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w),v5,v6) \ 1 = a(w,u,x * R(x,y,z)). ((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,v5,v6)) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8) = L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = ((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,v5,v6)) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x,y,z) \ x,u,z) = L(x,y,z) \ x. (T(x,L(x,y,z) \ a(u,w,a(z,y,x))) * (L(x,y,z) \ a(u,w,a(z,y,x)))) * x = (L(x \ L(x,y,z),w,u) \ 1) * T(x,L(x,y,z) \ a(u,w,a(z,y,x))). K(x,y) * (L(x \ L(x,z,u),w,v5) \ 1) != v6 | T(x,y) * (L(x,z,u) \ a(v5,w,a(u,z,x))) = v6. K(L(x,y,z) \ a(u,w,a(z,y,x)),x) * ((L(x \ L(x,y,z),w,u) \ 1) * v5) = ((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5. T(((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5,K(x,L(x,y,z) \ a(u,w,a(z,y,x)))) = (L(x \ L(x,y,z),w,u) \ 1) * (v5 * K(L(x,y,z) \ a(u,w,a(z,y,x)),x)). L(L((x \ R(x,y,z)) \ L(x \ R(x,y,z),u,w),v5,v6) \ 1,v7,v8) = L(x \ R(x,y,z),u,w) \ (x \ R(x,y,z)). a(x,y,L(z \ R(z,u,w),v5,v6)) = L(z \ R(z,u,w),y,x) \ (z \ R(z,u,w)). x != L(y \ R(y,z,u),w,v5) \ (y \ R(y,z,u)) | a(v5,w,y * R(y,z,u)) = x. a(x,y,z * R(z,u,w)) = a(x,y,L(z \ R(z,u,w),v5,v6)). a(x,y,L(z \ R(z,u,w),v5,v6)) = a(x,y,z * R(z,u,w)). a(x,y,L(z \ R(z,u,w),v5,v6)) != v7 | a(x,y,L(R(z,u,w) \ z,v5,v6)) = v7. a(x,y,L(R(z,u,w) \ z,v5,v6)) = a(x,y,z * R(z,u,w)). K(L(x,y,z) \ 1,x) * ((L(x \ L(x,y,z),u,w) \ 1) * v5) = ((L(x,y,z) \ a(w,u,a(z,y,x))) * x) * v5. K(x,x \ 1) * ((L(x \ L(x,y,z),u,w) \ 1) * v5) = ((L(x,y,z) \ a(w,u,a(z,y,x))) * x) * v5. L(L(x,y,a(z,a(u,w,v5),v6)),a(z,a(u,w,v5),v6) * y,v7) = L(x,L(y,a(z,a(u,w,v5),v6),v7),v7 * a(z,a(u,w,v5),v6)). L(x,a(y,a(z,u,w),v5) * v6,v7) = L(x,L(v6,a(y,a(z,u,w),v5),v7),v7 * a(y,a(z,u,w),v5)). L(x,L(y,a(z,a(u,w,v5),v6),v7),v7 * a(z,a(u,w,v5),v6)) = L(x,a(z,a(u,w,v5),v6) * y,v7). L(x,y,z * a(u,a(w,v5,v6),v7)) = L(x,a(u,a(w,v5,v6),v7) * y,z). L(x,a(y,a(z,u,w),v5) * v6,v7) = L(x,v6,v7 * a(y,a(z,u,w),v5)). L(L(x,y,z),z * y,a(u,a(w,v5,v6),v7)) = L(x,L(y,z,a(u,a(w,v5,v6),v7)),a(u,a(w,v5,v6),v7) * z). L(x,y,z) = L(x,L(y,z,a(u,a(w,v5,v6),v7)),a(u,a(w,v5,v6),v7) * z). L(x,L(y,z,a(u,a(w,v5,v6),v7)),a(u,a(w,v5,v6),v7) * z) = L(x,y,z). L(x,y,a(z,a(u,w,v5),v6) * v7) = L(x,y,v7). L(x,y,z * a(u,a(w,v5,v6),v7)) = L(x,y,z). L(x,y,L(z,a(u,w,v5),v6)) = L(x,y,z). L(x,y,(z * a(u,w,v5)) \ v6) = L(x,y,a(u,w,v5) \ (z \ v6)). L(x,y,z * a(u,a(w,v5,v6),v7)) != v8 | L(x,a(u,a(w,v5,v6),v7) * y,z) = v8. L(x,a(y,a(z,u,w),v5) * v6,v7) = L(x,v6,v7). x != L(y,z,a(u,w,v5) \ v6) | L(y,z,a(u,w,v5) * v6) = x. L(x,y,a(z,u,w) * (v5 \ v6)) = L(x,y,(v5 * a(z,u,w)) \ v6). L(x,y,(z * a(u,w,v5)) \ v6) = L(x,y,a(u,w,v5) * (z \ v6)). L(((L(x,y,z) \ x) \ u) * a(x * L(x,y,z),w,v5),a(v5,w,x * L(x,y,z)),L(x,y,z) \ x) = (L(x \ L(x,y,z),w,v5) \ 1) \ u. L(((L(x,y,z) \ x) \ u) * a(x * L(x,y,z),w,v5),a(v5,w,x * L(x,y,z)),x * L(x,y,z)) = (L(x \ L(x,y,z),w,v5) \ 1) \ u. ((L(x,y,z) \ x) \ u) * a(x * L(x,y,z),w,v5) = (L(x \ L(x,y,z),w,v5) \ 1) \ u. (x * L(x,y,z)) * (u * a(x * L(x,y,z),w,v5)) = L(x * L(x,y,z),w,v5) * T(u,a(x * L(x,y,z),w,v5)). L(x * L(x,y,z),u,w) * T(v5,a(x * L(x,y,z),u,w)) = (x * L(x,y,z)) * (v5 * a(x * L(x,y,z),u,w)). L(x * L(x,y,z),u,w) * v5 = (x * L(x,y,z)) * (v5 * a(x * L(x,y,z),u,w)). (x * L(x,y,z)) * (u * a(x * L(x,y,z),w,v5)) = L(x * L(x,y,z),w,v5) * u. a((x * L(x,y,z)) * (a(x * L(x,y,z),u,w) \ v5),v6,v7) = a(L(x * L(x,y,z),u,w) * v5,v6,v7). a((x * L(x,y,z)) * (u * a(w,v5,x * L(x,y,z))),v6,v7) = a(L(x * L(x,y,z),v5,w) * u,v6,v7). a((x * L(x,y,z)) * (u * a(w,v5,a(z,y,x))),v6,v7) = a(L(x * L(x,y,z),v5,w) * u,v6,v7). a((x * L(x,y,z)) * u,w,v5) = a(L(x * L(x,y,z),v6,v7) * u,w,v5). a(L(x * L(x,y,z),u,w) * v5,v6,v7) = a((x * L(x,y,z)) * v5,v6,v7). a(x * L(y * L(y,z,u),w,v5),v6,v7) = a((y * L(y,z,u)) * x,v6,v7). a(L(x,x,y * a(z,u,a(w,v5,v6))) * y,v7,v8) != v9 | a(x \ y,v7,v8) = v9. a((x * L(x,y,z)) \ u,w,v5) = a((x * L(x,y,z)) * u,w,v5). a(L(x * L(x,y,z),x,u * w) * (w * u),v5,v6) != v7 | a(L(x,y,z) * (x \ (u * w)),v5,v6) = v7. a(L(x,y,z) * (x \ (u * w)),v5,v6) = a((x * L(x,y,z)) * (w * u),v5,v6). a((x * L(x,y,z)) * (u * w),v5,v6) = a(L(x,y,z) * (x \ (w * u)),v5,v6). a(x * (y * L(y,z,u)),w,v5) = a((y * L(y,z,u)) \ x,w,v5). a((x * L(x,y,z)) \ u,w,v5) = a(u * (x * L(x,y,z)),w,v5). a(((x \ (y \ x)) * L(x \ (y \ x),z,u)) \ w,v5,v6) != v7 | a(L(y \ L(y,z,u),y,x) \ w,v5,v6) = v7. a(L(x \ L(x,y,z),x,u) \ w,v5,v6) = a(w * ((u \ (x \ u)) * L(u \ (x \ u),y,z)),v5,v6). a((x * L(x,y,z)) \ (x * ((x \ L(T(x \ 1,u),y,z)) * w)),v5,v6) != v7 | a(x * w,v5,v6) = v7. a(x * y,z,u) = a((x * ((x \ L(T(x \ 1,w),v5,v6)) * y)) * (x * L(x,v5,v6)),z,u). a((x * ((x \ L(T(x \ 1,y),z,u)) * w)) * (x * L(x,z,u)),v5,v6) = a(x * w,v5,v6). a((L(x,y,z) * L(L(x,y,z),u,w)) \ v5,v6,v7) != v8 | a(L(x \ L(x,u,w),y,z) \ v5,v6,v7) = v8. a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a(v5 * (L(x,u,w) * L(L(x,u,w),y,z)),v6,v7). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a(L(y \ L(y,w,v5),z,u) \ x,v6,v7). a(a(x,y,z) * u,w,v5) = a((z * L(z,y,x)) * u,w,v5). a((x * L(x,y,z)) * u,w,v5) = a(a(z,y,x) * u,w,v5). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) = a((y * L(y,w,v5)) * x,v6,v7). a(x * L(y * L(y,z,u),w,v5),v6,v7) != v8 | a(L(y \ R(y,z,u),w,v5) * x,v6,v7) = v8. a(L(x \ R(x,y,z),u,w) * v5,v6,v7) = a((x * L(x,y,z)) * v5,v6,v7). a((x * L(x,y,z)) * u,w,v5) != v6 | a(a(z,y,x) * u,w,v5) = v6. a(x * (y * L(y,z,u)),w,v5) = a(a(u,z,y) * x,w,v5). a(x * a(y,z,u),w,v5) = a(x * (u * L(u,z,y)),w,v5). a(x * (y * L(y,z,u)),w,v5) = a(x * a(u,z,y),w,v5). a(x * (y * L(y,z,u)),w,v5) != v6 | a(a(u,z,y) * x,w,v5) = v6. a(L(x,y,z) * (y * z),u,w) != v5 | a((y * x) * z,u,w) = v5. a((x * (y \ R(y,z,u))) * w,v5,v6) = a((y * L(y,z,u)) * (x * w),v5,v6). a((x * L(x,y,z)) * (u * x),w,v5) != v6 | a(x * (u * (x * L(x,y,z))),w,v5) = v6. a(x * (y * (x * L(x,z,u))),w,v5) = a(L(x,z,u) * (x \ (x * y)),w,v5). a(L(x,y,z) * (x \ (x * u)),w,v5) = a(x * (u * (x * L(x,y,z))),w,v5). x != a((y * L(y,z,u)) * (w * v5),v6,v7) | a(L(y,z,u) * (y \ (v5 * w)),v6,v7) = x. a(L(x,y,z) * (x \ (u * w)),v5,v6) = a((w * (x \ R(x,y,z))) * u,v5,v6). a((x * (y \ R(y,z,u))) * w,v5,v6) = a(L(y,z,u) * (y \ (w * x)),v5,v6). a(L(x,y,z) * u,w,v5) = a(x * (u * (x * L(x,y,z))),w,v5). a(x * (y * (x * L(x,z,u))),w,v5) = a(L(x,z,u) * y,w,v5). a((x * (y \ R(y,z,u))) * w,v5,v6) != v7 | a(((y * L(y,z,u)) * x) * w,v5,v6) = v7. a(((x * L(x,y,z)) * u) * w,v5,v6) = a(L(x,y,z) * (x \ (w * u)),v5,v6). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) != v8 | a(a(v5,w,y) * x,v6,v7) = v8. a(a(x,y,z) * u,w,v5) = a(a(x,y,L(z,v6,v7)) * u,w,v5). a(a(x,y,L(z,u,w)) * v5,v6,v7) = a(a(x,y,z) * v5,v6,v7). a(L(x,y,z) * (x \ u),w,v5) != v6 | a(a(z,y,x) * u,w,v5) = v6. a(x * a(y,z,L(u,w,v5)),v6,v7) != v8 | a(a(y,z,u) * x,v6,v7) = v8. a(a(x,y,(z * u) \ w) * v5,v6,v7) = a(a(x,y,u \ (z \ w)) * v5,v6,v7). a(a(x,y,R(z \ (u * w),v5,v6)) * v7,v8,v9) = a(a(x,y,R((u \ z) \ w,v5,v6)) * v7,v8,v9). a(a(x,y,R((z \ u) \ w,v5,v6)) * v7,v8,v9) = a(a(x,y,R(u \ (z * w),v5,v6)) * v7,v8,v9). a(a(x,y,z * u) * w,v5,v6) = a(a(x,y,z \ u) * w,v5,v6). a(a(x,y,z \ u) * w,v5,v6) = a(a(x,y,z * u) * w,v5,v6). a(a(x,y,a(z,u,w) * v5) * v6,v7,v8) = a(a(x,y,v5 * a(z,u,w)) * v6,v7,v8). a(a(x,y,z \ u) * w,v5,v6) != v7 | a(a(x,y,z * u) * w,v5,v6) = v7. a(a(x,y,(z * u) * w) * v5,v6,v7) = a(a(x,y,u \ (z \ w)) * v5,v6,v7). a(a(x,y,z \ (u \ w)) * v5,v6,v7) = a(a(x,y,(u * z) * w) * v5,v6,v7). a(a(x,y,z * (u \ w)) * v5,v6,v7) = a(a(x,y,(u * z) * w) * v5,v6,v7). a(a(x,y,(z * u) * w) * v5,v6,v7) = a(a(x,y,u * (z \ w)) * v5,v6,v7). a(x * (((x \ L(T(x \ 1,y),z,u)) * w) * (x * L(x,z,u))),v5,v6) = a(x * w,v5,v6). a(x * (y * (x * L(x,z,u))),w,v5) != v6 | a(L(x,z,u) * y,w,v5) = v6. a(L(x,y,z) * ((x \ L(T(x \ 1,u),y,z)) * w),v5,v6) = a(x * w,v5,v6). a(((x \ L(x \ 1,y,z)) * u) * L(x,y,z),w,v5) = a(x * u,w,v5). a(((x \ L(y \ 1,z,u)) * w) * v5,v6,v7) != v8 | a(((x \ L(y,z,u)) * w) * v5,v6,v7) = v8. a(((x \ L(x,y,z)) * u) * L(x,y,z),w,v5) = a(x * u,w,v5). a(((x * L(x,y,z)) * u) * L(x,y,z),w,v5) = a(x * u,w,v5). a(((x * L(x,y,z)) * u) * w,v5,v6) != v7 | a(L(x,y,z) * (x \ (w * u)),v5,v6) = v7. a(L(x,y,z) * (x \ (L(x,y,z) * u)),w,v5) = a(x * u,w,v5). a(a(x,y,z) * (L(z,y,x) * u),w,v5) = a(z * u,w,v5). a(a(x,y,z) * a(u,w,z),v5,v6) = a(z * L(L(z,w,u),y,x),v5,v6). a(a(x,y,z) * (u * L(z,y,x)),w,v5) = a(z * u,w,v5). a(a(x,y,z),u,w) = a(z * L(z,y,x),u,w). a(x * L(x,y,z),u,w) = a(a(z,y,x),u,w). a(x * L(x,y,z),x,u) != w | a(x,x * L(x,y,z),u) = w. a(x,x * L(x,y,z),u) = a(a(z,y,x),x,u). x * y != a(z * L(z,u,w),v5,v6) | x \ a(a(w,u,z),v5,v6) = y. x \ a(a(y,z,x),u,w) = L(x,z,y) \ L(x \ L(x,z,y),u,w). L(x,y,z) \ L(x \ L(x,y,z),u,w) = x \ a(a(z,y,x),u,w). L(x,y,z) * a(a(z,y,x),u,w) = x * L(x \ L(x,y,z),u,w). a(a(x,y,z),u,w) * (z \ L(z,y,x)) = L(z \ L(z,y,x),u,w). (L(x,y,z) \ x) * (a(a(z,y,x),x,u) * u) = x \ ((L(1 / x,y,z) \ 1) * u). a(L(x,y,z) * u,w,v5) = a(x * (u * a(z,y,x)),w,v5). a(x * (y * a(z,u,x)),w,v5) = a(L(x,u,z) * y,w,v5). x != a(y * T(z,u),w,v5) | a(z * y,w,v5) = x. a(x * L(y,z,u),w,v5) = a(y * (T(x,v6) * a(u,z,y)),w,v5). a(x * (T(y,z) * a(u,w,x)),v5,v6) = a(y * L(x,w,u),v5,v6). a(L(x,y,z) * a(z,y,x),u,w) != v5 | a(x,u,w) = v5. a(L(x \ K(y,z),u,w) * a(v5,v6,L(x \ 1,u,w)),v7,v8) = a(L(L(x \ 1,u,w),v6,v5) * K(y,z),v7,v8). a((x \ a(y,z,x)) * ((u * u) * (w * a(v5,v6,a(y,z,x) * (x \ (u * u))))),v7,v8) = a(L(a(y,z,x) * (x \ (u * u)),v6,v5) * w,v7,v8). a((x * R(y,z,u)) * a(w,v5,L(y,z,u)),v6,v7) = a(x * L(R(y,z,u),v5,w),v6,v7). L(x,y,z) * a(a(u,w,v5),v6,v7) != v8 | L(x * a(a(u,w,v5),v6,v7),y,z) = v8. L(x * a(a(y,z,x),u,w),z,y) = x * L(x \ L(x,z,y),u,w). x * L(x \ a(a(y,z,x),u,w),z,y) = L(x \ L(x,z,y),u,w). x \ L(x \ L(x,y,z),u,w) = L(x \ a(a(z,y,x),u,w),y,z). L(x \ a(a(y,z,x),u,w),z,y) = x \ L(x \ L(x,z,y),u,w). L(L(x \ a(a(y,z,x),u,w),z,y) \ 1,x \ L(x \ L(x,z,y),u,w),L(x \ L(x,z,y),u,w) \ x) = 1 / (x \ L(x \ L(x,z,y),u,w)). L((x \ R(x,y,z)) \ a(a(y * z,x,x \ R(x,y,z)),u,w),x,y * z) = (x \ R(x,y,z)) \ L((x \ R(x,y,z)) \ a(x,y,z),u,w). a(a(x,y,z) * (u * R(z,w,v5)),v6,v7) = a(u * L(R(z,w,v5),y,x),v6,v7). a(x * (y * R(z,u,w)),v5,v6) != v7 | a(x * (y * L(z,u,w)),v5,v6) = v7. a(a(x,y,z) * (u * L(z,w,v5)),v6,v7) = a(u * L(R(z,w,v5),y,x),v6,v7). x != a(y * L(R(z,u,w),v5,v6),v7,v8) | a(y * L(L(z,u,w),v5,v6),v7,v8) = x. a(x * L(L(y,z,u),w,v5),v6,v7) = a(a(v5,w,y) * (x * L(y,z,u)),v6,v7). a(a(x,y,z) * (u * L(z,w,v5)),v6,v7) = a(u * L(L(z,w,v5),y,x),v6,v7). a(a(x,y,z) * (u * L(z,y,x)),w,v5) != v6 | a(z * u,w,v5) = v6. a(x * y,z,u) = a(y * L(L(x,w,v5),w,v5),z,u). a(x * L(L(y,z,u),z,u),w,v5) = a(y * x,w,v5). a(x * (L(y,z,u) * L(L(y,z,u),w,v5)),v6,v7) != v8 | a(x * L(y * L(y,w,v5),z,u),v6,v7) = v8. a(x * L(y * L(y,z,u),w,v5),v6,v7) = a(L(y \ L(y,z,u),w,v5) \ x,v6,v7). a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) = a(v5 * L(x * L(x,y,z),u,w),v6,v7). a(a(x,y,R((z \ u) \ w,v5,v6)) * v7,v8,v9) = a(a(x,y,L(u \ (z * w),v5,v6)) * v7,v8,v9). x != a(a(y,z,L(u,w,v5)) * v6,v7,v8) | a(a(y,z,u) * v6,v7,v8) = x. a(a(x,y,z \ (u * w)) * v5,v6,v7) = a(a(x,y,R((u \ z) \ w,v8,v9)) * v5,v6,v7). a(a(x,y,R((z \ u) \ w,v5,v6)) * v7,v8,v9) = a(a(x,y,u \ (z * w)) * v7,v8,v9). x != a(a(y,z,u \ w) * v5,v6,v7) | a(a(y,z,u * w) * v5,v6,v7) = x. a(a(x,y,z * (u * w)) * v5,v6,v7) = a(a(x,y,R((u \ z) \ w,v8,v9)) * v5,v6,v7). a(a(x,y,R((z \ u) \ w,v5,v6)) * v7,v8,v9) = a(a(x,y,u * (z * w)) * v7,v8,v9). a(a(x,y,(z \ u) \ w) * v5,v6,v7) = a(a(x,y,u * (z * w)) * v5,v6,v7). a(a(x,y,(z \ u) * w) * v5,v6,v7) = a(a(x,y,u * (z * w)) * v5,v6,v7). a(L(x \ L(x,y,z),u,w) \ v5,v6,v7) != v8 | a(v5 * L(x * L(x,y,z),u,w),v6,v7) = v8. a(x * L(y * L(y,z,u),y,w),v5,v6) = a(x * ((w \ (y \ w)) * L(w \ (y \ w),z,u)),v5,v6). a(x * L(y * L(y,z,u),w,v5),v6,v7) != v8 | a((y * L(y,z,u)) * x,v6,v7) = v8. a((x * L(x,y,z)) * u,w,v5) = a(u * ((v6 \ (x \ v6)) * L(v6 \ (x \ v6),y,z)),w,v5). a(x * ((y \ (z \ y)) * L(y \ (z \ y),u,w)),v5,v6) = a((z * L(z,u,w)) * x,v5,v6). x != a((y * L(y,z,u)) * w,v5,v6) | a(a(u,z,y) * w,v5,v6) = x. a(a(x,y,z) * u,w,v5) = a(u * ((v6 \ (z \ v6)) * L(v6 \ (z \ v6),y,x)),w,v5). a(x * ((y \ (z \ y)) * L(y \ (z \ y),u,w)),v5,v6) = a(a(w,u,z) * x,v5,v6). a(a(x,y,z \ (u \ z)) * w,v5,v6) = a(a(x,y,u) * w,v5,v6). a(a(x,y,z * (u \ z)) * w,v5,v6) = a(a(x,y,u) * w,v5,v6). a(a(x,y,(z \ ((z * u) * T(w,u))) * (u * a(z,u,w))) * v5,v6,v7) = a(a(x,y,w) * v5,v6,v7). a(a(x,y,(z \ ((z * u) * w)) * (u * a(z,u,w))) * v5,v6,v7) = a(a(x,y,w) * v5,v6,v7). a(a(x,y,(z \ u) * w) * v5,v6,v7) != v8 | a(a(x,y,u * (z * w)) * v5,v6,v7) = v8. a(a(x,y,((z * u) * w) * (z * (u * a(z,u,w)))) * v5,v6,v7) = a(a(x,y,w) * v5,v6,v7). a(a(x,y,(z * u) * w) * v5,v6,v7) != v8 | a(a(x,y,u * (z \ w)) * v5,v6,v7) = v8. a(a(x,y,z * ((u * w) \ (u * (w * a(u,w,z))))) * v5,v6,v7) = a(a(x,y,z) * v5,v6,v7). a(a(x,y,z * L(a(u,w,z),w,u)) * v5,v6,v7) = a(a(x,y,z) * v5,v6,v7). a(a(x,y,z * a(u,w,z)) * v5,v6,v7) = a(a(x,y,z) * v5,v6,v7). a(a(x,y,z * a(u,w,v5)) * v6,v7,v8) != v9 | a(a(x,y,a(u,w,v5) * z) * v6,v7,v8) = v9. a(a(x,y,a(z,u,w) * w) * v5,v6,v7) = a(a(x,y,w) * v5,v6,v7). a(L(x \ K(y,z),u,w) * a(v5,v6,L(x,u,w)),v7,v8) = a(L(L(x \ 1,u,w),v6,v5) * K(y,z),v7,v8). a(a(x,y,z) * L(z \ K(u,w),v5,v6),v7,v8) = a(L(L(z \ 1,v5,v6),y,x) * K(u,w),v7,v8). a(L(L(x \ 1,y,z),u,w) * K(v5,v6),v7,v8) = a(a(w,u,x) * L(x \ K(v5,v6),y,z),v7,v8). x != a(y * L(z \ K(u,w),v5,v6),v7,v8) | a(L(z,v5,v6) * y,v7,v8) = x. a(L(x,y,z) * a(u,w,x),v5,v6) = a(L(L(x \ 1,y,z),w,u) * K(v7,v8),v5,v6). a(L(L(x \ 1,y,z),u,w) * K(v5,v6),v7,v8) = a(L(x,y,z) * a(w,u,x),v7,v8). a(L(L(x \ 1,y,z) * K(u,w),v5,v6),v7,v8) = a(L(x,y,z) * a(v6,v5,x),v7,v8). a(L(L((x \ 1) * K(y,z),u,w),v5,v6),v7,v8) = a(L(x,u,w) * a(v6,v5,x),v7,v8). a(L(L(x \ K(y,z),u,w),v5,v6),v7,v8) = a(L(x,u,w) * a(v6,v5,x),v7,v8). a(L(L(x \ K(y,z),u,w),v5,v6),v7,v8) != v9 | a(L(L(x,u,w),v5,v6),v7,v8) = v9. a(L(L(x,y,z),u,w),v5,v6) = a(L(x,y,z) * a(w,u,x),v5,v6). a(L(x,y,z) * a(u,w,x),v5,v6) = a(L(L(x,y,z),w,u),v5,v6). a(x,y,z) = a(L(L(x,u,w),u,w),y,z). a(L(L(x,y,z),y,z),u,w) = a(x,u,w). L(L(L(x,y,z),y,z) \ R(L(L(x,y,z),y,z),u,w),L(L(x,y,z),y,z),w * u) = a(x,u,w). L(L(L(x,y,z),y,z) \ L(R(L(x,y,z),u,w),y,z),L(L(x,y,z),y,z),w * u) = a(x,u,w). L(L(L(x,y,z),y,z) \ L(L(R(x,u,w),y,z),y,z),L(L(x,y,z),y,z),w * u) = a(x,u,w). L(L(L(x \ R(x,y,z),u,w),u,w),L(L(x,u,w),u,w),z * y) = a(x,y,z). a((x \ a(y,z,x)) * ((u * u) * (w * a(v5,v6,a(y,z,x) * x))),v7,v8) = a(L(a(y,z,x) * (x \ (u * u)),v6,v5) * w,v7,v8). a((x \ a(y,z,x)) * (u * a(w,v5,a(y,z,x) * x)),v6,v7) = a(L(a(y,z,x) * (x \ (v8 * v8)),v5,w) * u,v6,v7). a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a((z \ a(x,y,z)) * (v6 * a(v5,w,a(x,y,z) * z)),v7,v8). x != a((y \ a(z,u,w)) * v5,v6,v7) | a(a(z,u,w) * (v5 * y),v6,v7) = x. a(a(x,y,z) * ((u * a(w,v5,a(x,y,z) * z)) * z),v6,v7) = a(L(a(x,y,z) * (z \ (v8 * v8)),v5,w) * u,v6,v7). a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a(a(x,y,z) * ((v6 * a(v5,w,a(x,y,z) * z)) * z),v7,v8). x != a(y * ((z * a(u,w,v5)) * v6),v7,v8) | a(y * (z * (v6 * a(u,w,v5))),v7,v8) = x. a(a(x,y,z) * (u * (z * a(w,v5,a(x,y,z) * z))),v6,v7) = a(L(a(x,y,z) * (z \ (v8 * v8)),v5,w) * u,v6,v7). a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a(a(x,y,z) * (v6 * (z * a(v5,w,a(x,y,z) * z))),v7,v8). L((x \ R(x,y,z)) \ a(a(y * z,x,a(x,y,z)),u,w),x,y * z) = (x \ R(x,y,z)) \ L((x \ R(x,y,z)) \ a(x,y,z),u,w). L((x \ R(x,y,z)) \ 1,x,y * z) = (x \ R(x,y,z)) \ L((x \ R(x,y,z)) \ a(x,y,z),u,w). (x \ R(x,y,z)) \ L((x \ R(x,y,z)) \ a(x,y,z),u,w) = L((x \ R(x,y,z)) \ 1,x,y * z). (x \ R(x,y,z)) \ L((x \ R(x,y,z)) \ a(x,y,z),u,w) = L(R(x,y,z) \ x,x,y * z). a((a(x,y,z) \ (u * w)) * ((a(x,y,z) \ u) * w),v5,v6) = a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6). a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6) = a((a(x,y,z) \ (u * w)) * ((a(x,y,z) \ u) * w),v5,v6). a(((a(x,y,z) \ u) * w) * (a(x,y,z) \ (u * w)),v5,v6) = a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6). a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6) = a(((a(x,y,z) \ u) * w) * (a(x,y,z) \ (u * w)),v5,v6). a(((a(x,y,z) \ u) * w) * ((u * w) * a(x,y,z)),v5,v6) = a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6). a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6) = a(((a(x,y,z) \ u) * w) * ((u * w) * a(x,y,z)),v5,v6). a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6) = a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6). a(a(a(x,y,z),u,a(x,y,z) \ (a(x,y,z) \ w)),v5,v6) = a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6). a(a(a(x,y,z),u,w),v5,v6) != v7 | 1 = v7. 1 = a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6). a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6) = 1. a(((a(x,y,z) \ u) * w) * (u * (w * a(x,y,z))),v5,v6) != v7 | a(a(a(x,y,z) \ a(v8,v9,v10),u,w),v5,v6) = v7. a(a(a(x,y,z) \ a(u,w,v5),v6,v7),v8,v9) = 1. a(a(a(x,y,z) * a(u,w,v5),v6,v7),v8,v9) = 1. a(a(a(x,y,z) * a(u,w,v5),v6,v7),v8,v9) * v10 != v11 | v11 = v10. L(x \ L(x,y,a(z,u,w) * a(v5,v6,v7)),v8,v9) = x \ L(x,y,a(z,u,w) * a(v5,v6,v7)). L(x \ L(x,y,a(z,u,w) * a(v5,v6,v7)),v8,v9) != v10 | v10 = x \ L(x,y,a(z,u,w) * a(v5,v6,v7)). L(x \ L(x,y,a(z,u,w) * a(v5,v6,v7)),v8,v9) != v10 | x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) = v10. L(x \ L(x,y,a(z,u,w) * a(v5,v6,v7)),v8,v9) != x \ v10 | L(x,y,a(z,u,w) * a(v5,v6,v7)) = v10. L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),x \ L(x \ L(x,y,z),w,u),L(x \ L(x,y,z),w,u) \ x) = 1 / (x \ L(x \ L(x,y,z),w,u)). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * (a(y,a(z,u,w),v5) \ v7))) = L(L(v7,a(y,a(z,u,w),v5) \ 1,v6),v6 * (a(y,a(z,u,w),v5) \ 1),x). L(L(x,a(y,a(z,u,w),v5) \ 1,v6),v6 * (a(y,a(z,u,w),v5) \ 1),v7) = (v7 * (a(y,a(z,u,w),v5) \ v6)) \ (v7 * (v6 * (a(y,a(z,u,w),v5) \ x))). L(L(x,a(y,a(z,u,w),v5),v6),v6 * (a(y,a(z,u,w),v5) \ 1),v7) = (v7 * (a(y,a(z,u,w),v5) \ v6)) \ (v7 * (v6 * (a(y,a(z,u,w),v5) \ x))). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * (a(y,a(z,u,w),v5) \ v7))) = L(L(v7,a(y,a(z,u,w),v5),v6),v6 * (a(y,a(z,u,w),v5) \ 1),x). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * (a(y,a(z,u,w),v5) \ v7))) = L(v7,v6 * (a(y,a(z,u,w),v5) \ 1),x). x != L(y,z * (u \ 1),w) | L(y,u * z,w) = x. L(x,a(y,a(z,u,w),v5) * v6,v7) = (v7 * (a(y,a(z,u,w),v5) \ v6)) \ (v7 * (v6 * (a(y,a(z,u,w),v5) \ x))). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * (a(y,a(z,u,w),v5) \ v7))) = L(v7,a(y,a(z,u,w),v5) * v6,x). x != L(y,a(z,a(u,w,v5),v6) * v7,v8) | L(y,v7,v8) = x. L(x,y,z) = (z * (a(u,a(w,v5,v6),v7) \ y)) \ (z * (y * (a(u,a(w,v5,v6),v7) \ x))). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * (a(y,a(z,u,w),v5) \ v7))) = L(v7,v6,x). (x * (a(y,a(z,u,w),v5) \ v6)) \ (x * (v6 * v7)) != v8 | a(y,a(z,u,w),v5) * L(v7,v6,x) = v8. a(x,a(y,z,u),w) * L(a(x,a(y,z,u),w) \ v5,v6,v7) = L(v5,v6,v7). L(x,y,z) * a(u,a(w,v5,v6),v7) = L(x * a(u,a(w,v5,v6),v7),y,z). L(x * a(y,a(z,u,w),v5),v6,v7) = L(x,v6,v7) * a(y,a(z,u,w),v5). x * L(x \ a(y,a(z,u,w),v5),v6,v7) = (x \ L(x,v6,v7)) * a(y,a(z,u,w),v5). (x \ L(x,y,z)) * a(u,a(w,v5,v6),v7) = x * L(x \ a(u,a(w,v5,v6),v7),y,z). x != L(y * a(z,u,w),z,z) * a(v5,a(v6,v7,v8),v9) | L(y,z,z) * (a(z,u,w) * a(v5,a(v6,v7,v8),v9)) = x. L(x,y,y) * (a(y,z,u) * a(w,a(v5,v6,v7),v8)) = L((x * a(y,z,u)) * a(w,a(v5,v6,v7),v8),y,y). L((x * a(y,z,u)) * a(w,a(v5,v6,v7),v8),y,y) = L(x,y,y) * (a(y,z,u) * a(w,a(v5,v6,v7),v8)). L(x * (a(y,z,u) * a(w,a(v5,v6,v7),v8)),y,y) = L(x,y,y) * (a(y,z,u) * a(w,a(v5,v6,v7),v8)). x != L(a(y,a(z,u,w),v5) * v6,v7,v7) * (a(v7,v7,v6) * a(v5,a(z,u,w),y)) | v6 = x. x = L((a(y,a(z,u,w),v5) * x) * (a(v6,v6,x) * a(v5,a(z,u,w),y)),v6,v6). L((a(x,a(y,z,u),w) * v5) * (a(v6,v6,v5) * a(w,a(y,z,u),x)),v6,v6) = v5. L(a(x,a(y,z,u),w) * (a(v5,v5,v6) * (v6 * a(w,a(y,z,u),x))),v5,v5) = v6. L(a(x,x,y) * y,x,x) = y. ((x \ 1) \ 1) \ y = a(x,x,(x \ 1) * y) * ((x \ 1) * y). a(x,x,(x \ 1) * y) * ((x \ 1) * y) = ((x \ 1) \ 1) \ y. L(x,((y \ 1) \ 1) \ z,u) = L(x,(1 / y) * L(z,y,y),u). L(x,(1 / y) * L(z,y,y),u) = L(x,((y \ 1) \ 1) \ z,u). x != L(y,((z \ u) \ u) \ w,v5) | L(y,z \ w,v5) = x. L(x,y \ z,u) = L(x,(1 / y) * L(z,y,y),u). L(x,(1 / y) * L(z,y,y),u) = L(x,y \ z,u). L(x,L((y \ 1) * z,y,y),u) = L(x,y \ z,u). L(x,L((y \ 1) * z,u,w),v5) != v6 | L(x,L(y * z,u,w),v5) = v6. L(x,L(y * z,y,y),u) = L(x,y \ z,u). L(x,L((a(y,z,u) \ w) * v5,a(y,z,u) * w,a(y,z,u) \ w),v6) = L(x,(a(y,z,u) \ w) \ v5,v6). L(x,L((a(y,z,u) \ w) * v5,a(y,z,u) * w,a(y,z,u) * w),v6) = L(x,(a(y,z,u) * w) \ (a(y,z,u) \ (a(y,z,u) \ v5)),v6). L(x,L((a(y,z,u) \ w) * v5,a(y,z,u) * w,a(y,z,u) * w),v6) = L(x,(a(y,z,u) \ w) \ v5,v6). L(x,L((a(y,z,u) \ w) * v5,w,w),v6) = L(x,(a(y,z,u) \ w) \ v5,v6). x != L(y,(a(z,u,w) \ v5) \ v6,v7) | L(y,(v5 \ v6) * a(z,u,w),v7) = x. L(x,(y \ z) * a(u,w,v5),v6) = L(x,L((a(u,w,v5) \ y) * z,y,y),v6). L(x,L((a(y,z,u) \ w) * v5,w,w),v6) = L(x,(w \ v5) * a(y,z,u),v6). L(x,L((a(y,z,u) \ w) * v5,w,w),v6) = L(x,(a(y,z,u) * w) \ (a(y,z,u) \ (a(y,z,u) \ v5)),v6). L(x,L((a(y,z,u) \ w) * v5,w,w),v6) != v7 | L(x,(w \ v5) * a(y,z,u),v6) = v7. L(x,(y \ z) * a(u,w,v5),v6) = L(x,(a(u,w,v5) * y) \ (a(u,w,v5) \ (a(u,w,v5) \ z)),v6). L(x,(a(y,z,u) * w) \ (a(y,z,u) \ (a(y,z,u) \ v5)),v6) = L(x,(w \ v5) * a(y,z,u),v6). L(x,y \ (a(z,u,w) \ (a(z,u,w) \ v5)),v6) != v7 | L(x,y \ v5,v6) = v7. L(x,(a(y,z,u) * w) \ v5,v6) = L(x,(w \ v5) * a(y,z,u),v6). L(x,(y * a(z,u,w)) \ v5,v6) = L(x,(y \ v5) * a(z,u,w),v6). L(x \ L(x,y,z),u,w) * L(v5,a(x * L(x,y,z),u,w),x * L(x,y,z)) = (x \ L(x,y,z)) * (T(a(x * L(x,y,z),u,w),x \ L(x,y,z)) * v5). (a(x,y,a(z,u,w)) * v5) / T(L(a(z,u,w) \ 1,y,x) \ v6,a(z,u,w) \ (v6 \ v5)) = L((v6 * a(z,u,w)) \ v5,v6 * a(z,u,w),a(x,y,a(z,u,w))). L(x \ (x * (a(y,z,u) / u)),w,v5) \ (x \ ((x / 1) * (a(y,z,u) / u))) = (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1. L(a(x,y,z) / z,u,w) \ (v5 \ ((v5 / 1) * (a(x,y,z) / z))) = (v5 \ ((v5 / 1) * ((a(x,y,z) / z) * L(a(x,y,z) \ z,u,w)))) \ 1. (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(a(y,z,u) / u,w,v5) \ (x \ ((x / 1) * (a(y,z,u) / u))). (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(a(y,z,u) / u,w,v5) \ (x \ (x * (a(y,z,u) / u))). (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(a(y,z,u) / u,w,v5) \ (a(y,z,u) / u). x != L(y / z,u,w) \ (y / z) | L(z \ y,u,w) \ (z \ y) = x. L(x \ a(y,z,x),u,w) \ (x \ a(y,z,x)) = (v5 \ ((v5 / 1) * ((a(y,z,x) / x) * L(a(y,z,x) \ x,u,w)))) \ 1. (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(u \ a(y,z,u),w,v5) \ (u \ a(y,z,u)). x != L(y \ a(z,u,w),v5,v6) \ (y \ a(z,u,w)) | L(y * a(z,u,w),v5,v6) \ (a(z,u,w) * y) = x. L(x * a(y,z,x),u,w) \ (a(y,z,x) * x) = (v5 \ ((v5 / 1) * ((a(y,z,x) / x) * L(a(y,z,x) \ x,u,w)))) \ 1. (x \ ((x / 1) * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(u * a(y,z,u),w,v5) \ (a(y,z,u) * u). (x \ (x * ((a(y,z,u) / u) * L(a(y,z,u) \ u,w,v5)))) \ 1 = L(u * a(y,z,u),w,v5) \ (a(y,z,u) * u). (x \ (x * (a(y,z,u) * (u \ L(a(y,z,u) \ u,w,v5))))) \ 1 = L(u * a(y,z,u),w,v5) \ (a(y,z,u) * u). (x \ (x * (y * (a(z,u,y) \ L(y \ a(z,u,y),w,v5))))) \ 1 = L(y * a(z,u,y),w,v5) \ (a(z,u,y) * y). (x * (a(y,z,x) \ L(x \ a(y,z,x),u,w))) \ 1 = L(x * a(y,z,x),u,w) \ (a(y,z,x) * x). L(x \ L(x,y,z),u,w) * v5 = (x \ L(x,y,z)) * (T(a(x * L(x,y,z),u,w),x \ L(x,y,z)) * v5). (x \ L(x,y,z)) * (T(a(x * L(x,y,z),u,w),x \ L(x,y,z)) * v5) = L(x \ L(x,y,z),u,w) * v5. (x \ L(x,y,z)) * (a(x * L(x,y,z),u,w) * v5) = L(x \ L(x,y,z),u,w) * v5. (x \ L(x,y,z)) * (u * a(x * L(x,y,z),w,v5)) = L(x \ L(x,y,z),w,v5) * u. L(x \ L(x,y,z),u,w) * v5 = a(x * L(x,y,z),u,w) * ((x \ L(x,y,z)) * v5). a(x * L(x,y,z),u,w) * ((x \ L(x,y,z)) * v5) = L(x \ L(x,y,z),u,w) * v5. x * a(y * L(y,z,u),w,v5) = L(y \ L(y,z,u),w,v5) * ((y \ L(y,z,u)) \ x). L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) = v5 * a(x * L(x,y,z),u,w). L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,(z * L(z,u,w)) * (v7 * a(z * L(z,u,w),v5,v6))). L(x,y,(z * L(z,u,w)) * (v5 * a(z * L(z,u,w),v6,v7))) = L(x,y,L(z \ L(z,u,w),v6,v7) * v5). L(x \ L(x,y,z),u,w) * ((x \ L(x,y,z)) \ v5) != v6 | ((L(x,y,z) \ x) \ v5) * L(L(x,y,z) \ x,u,w) = v6. ((L(x,y,z) \ x) \ u) * L(L(x,y,z) \ x,w,v5) = u * a(x * L(x,y,z),w,v5). (a(x,y,z) \ 1) * ((z \ L(z,y,x)) \ u) = u * a(z * L(z,y,x),z,x * y). (a(x,y,z) \ 1) * ((z \ L(z,y,x)) \ u) = u * a(z,z * L(z,y,x),x * y). (a(x,y,z) \ 1) * u != w | a(x,y,z) \ u = w. a(x,y,z) \ ((z \ L(z,y,x)) \ u) = u * a(z,z * L(z,y,x),x * y). L(x,y,L(z * L(z,u,w),v5,v6) * v7) = L(x,y,L(z \ L(z,u,w),v5,v6) * v7). L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,L(z * L(z,u,w),v5,v6) * v7). (a(x,y,a(z,u,w)) * v5) / T(L(a(z,u,w) \ 1,y,x) \ v6,v6 \ v5) = L((v6 * a(z,u,w)) \ v5,v6 * a(z,u,w),a(x,y,a(z,u,w))). L((x * a(y,z,u)) \ w,x * a(y,z,u),a(v5,v6,a(y,z,u))) = (a(v5,v6,a(y,z,u)) * w) / T(L(a(y,z,u) \ 1,v6,v5) \ x,x \ w). x != (a(y,z,a(u,w,v5)) * v6) / v7 | a(y,z,a(u,w,v5)) * (v6 / v7) = x. a(x,y,a(z,u,w)) * (v5 / T(L(a(z,u,w) \ 1,y,x) \ v6,v6 \ v5)) = L((v6 * a(z,u,w)) \ v5,v6 * a(z,u,w),a(x,y,a(z,u,w))). L((x * a(y,z,u)) \ w,x * a(y,z,u),a(v5,v6,a(y,z,u))) = a(v5,v6,a(y,z,u)) * (w / T(L(a(y,z,u) \ 1,v6,v5) \ x,x \ w)). L((x * a(y,z,u)) \ w,x * a(y,z,u),a(v5,v6,a(y,z,u))) = a(v5,v6,a(y,z,u)) * ((L(a(y,z,u) \ 1,v6,v5) \ x) \ w). (x * a(y,z,u)) \ w = a(v5,v6,a(y,z,u)) * ((L(a(y,z,u) \ 1,v6,v5) \ x) \ w). a(x,y,a(z,u,w)) * ((L(a(z,u,w) \ 1,y,x) \ v5) \ v6) = (v5 * a(z,u,w)) \ v6. L(x \ (y * L(y \ x,z,u)),x \ L(y,w,a(v5,v6,v7)),y) = L(y,w,a(v5,v6,v7)) \ (x * L(x \ L(y,w,a(v5,v6,v7)),z,u)). L(x \ (y * L(y \ x,z,u)),x \ y,y) = L(y,w,a(v5,v6,v7)) \ (x * L(x \ L(y,w,a(v5,v6,v7)),z,u)). x \ (y * L(y \ x,z,u)) = L(x,w,a(v5,v6,v7)) \ (y * L(y \ L(x,w,a(v5,v6,v7)),z,u)). L(x,y,a(z,u,w)) \ (v5 * L(v5 \ L(x,y,a(z,u,w)),v6,v7)) = x \ (v5 * L(v5 \ x,v6,v7)). (T(x,L(x,y,z) \ 1) * (L(x,y,z) \ a(u,w,a(z,y,x)))) * x = (L(x \ L(x,y,z),w,u) \ 1) * T(x,L(x,y,z) \ a(u,w,a(z,y,x))). (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = (T(x,L(x,y,z) \ 1) * (L(x,y,z) \ a(w,u,a(z,y,x)))) * x. (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = (T(x,x \ 1) * (L(x,y,z) \ a(w,u,a(z,y,x)))) * x. L(x * K(L(1 / L(x,y,z),u,w) \ 1,x),y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). L(x * K(L(L(x,y,z) \ 1,u,w) \ 1,x),y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). K(x,L(L(x,y,z) \ 1,u,w) \ 1) * (L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x)) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). K(x,(L(x,y,z) \ 1) \ 1) * (L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x)) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). K(x,L((x \ 1) \ 1,y,z)) * (L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x)) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). K(x,(x \ 1) \ 1) * (L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x)) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). 1 * (L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x)) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = x * (L(L(x,y,z),u,w) \ L(x,y,z)). L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = x * (L(x \ L(x,u,w),y,z) \ 1). a(x * L(x,y,z),u,w) * ((x \ L(x,y,z)) * v5) = (x \ L(x,y,z)) * (v5 * ((x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w))). (x \ L(x,y,z)) * (u * ((x \ L(x,y,z)) \ L(x \ L(x,y,z),w,v5))) = a(x * L(x,y,z),w,v5) * ((x \ L(x,y,z)) * u). x != a(y * L(y,z,u),w,v5) * ((y \ L(y,z,u)) * v6) | L(y \ L(y,z,u),w,v5) * v6 = x. L(x \ L(x,y,z),u,w) * v5 = (x \ L(x,y,z)) * (v5 * ((x \ L(x,y,z)) \ L(x \ L(x,y,z),u,w))). (x \ L(x,y,z)) * (u * ((x \ L(x,y,z)) \ L(x \ L(x,y,z),w,v5))) = L(x \ L(x,y,z),w,v5) * u. (x \ L(x,y,z)) * (u * (x \ (L(x,y,z) * L(L(x,y,z) \ x,w,v5)))) = L(x \ L(x,y,z),w,v5) * u. (x \ L(x,y,z)) * u != L(x \ L(x,y,z),w,v5) * v6 | a(x * L(x,y,z),w,v5) * v6 = u. a(x * L(x,y,z),u,w) * v5 = v5 * (x \ (L(x,y,z) * L(L(x,y,z) \ x,u,w))). x * (y \ (L(y,z,u) * L(L(y,z,u) \ y,w,v5))) = a(y * L(y,z,u),w,v5) * x. L(x,y,z) * L(L(x,y,z) \ x,u,w) = a(x * L(x,y,z),u,w) * x. L(x,y * (L(z,u,w) * (a(z * L(z,u,w),v5,v6) * z)),v7) = L(x,y * L(L(L(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w)),v7). L(x,y * L(L(L(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w)),v7) = L(x,y * (L(z,u,w) * (a(z * L(z,u,w),v5,v6) * z)),v7). L(x \ L(x,y,z),u,w) * L(x \ (a(x * L(x,y,z),v5,v6) * x),u,w) = L(L(x \ L(x,y,z),u,w),v5,v6) * 1. a(x,y,((a(z * L(z,u,w),v5,v6) \ 1) * z) * v7) = a(x,y,(L(z,u,w) * L(L(z,u,w) \ z,v5,v6)) * v7). a(x,y,(L(z,u,w) * L(L(z,u,w) \ z,v5,v6)) * v7) = a(x,y,((a(z * L(z,u,w),v5,v6) \ 1) * z) * v7). x \ (a(x * L(x,y,z),x,z * y) * x) = a(z,y,x) \ (L(x,y,z) \ x). L(x,y,z) * L(L(x,y,z) \ x,u,w) = a(a(z,y,x),u,w) * x. (x \ (x * L(y,z,u))) * R((x \ (x * L(y,z,u))) \ y,w,v5) = x \ (x * (a(a(u,z,y),w,v5) * y)). x \ (a(x,x * L(x,y,z),z * y) * x) = a(z,y,x) \ (L(x,y,z) \ x). a(x,x * L(x,y,z),z * y) = a(z,y,x) \ (L(x,y,z) \ x). a(x,x * L(x,y,z),u) != w | a(a(z,y,x),x,u) = w. a(a(x,y,z),z,x * y) = a(x,y,z) \ (L(z,y,x) \ z). a(x,y,z) \ (L(z,y,x) \ z) = a(a(x,y,z),z,x * y). a(x,y,z) \ u != a(a(x,y,z),w,v5) | L(a(x,y,z),w,v5) = u. L(a(x,y,z),z,x * y) = L(z,y,x) \ z. L(x,y,L(z,u,w) \ z) = L(x,y,a(w,u,z)). L(x,L(y,z,u) \ y,w) = L(x,a(u,z,y),w). L(x,y,(L(z,u,w) \ z) * v5) = L(x,y,a(w,u,z) * v5). L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,a(w,u,z)). x * (L(a(y,z,u),u,y * z) \ 1) = (L(u,z,y) \ u) \ x. L(x,y,z * L(z,u,w)) = L(x,y,a(w,u,z)). L(x,y,a(z,u,w)) != v5 | L(x,y,w * L(w,u,z)) = v5. L(x,L(y,z,u) \ y,w) != v5 | L(x,y * L(y,z,u),w) = v5. L(x,y * L(y,z,u),w) = L(x,a(u,z,y),w). L(x,y,a(z,u,w)) = L(x,y,a(w,u,z)). x * y != L(z,u,a(w,v5,v6)) | x \ L(z,u,a(v6,v5,w)) = y. x \ L(x,y,a(z,u,w)) = a(x,y,a(w,u,z)). L(x,y,a(z,u,w)) \ x = a(a(w,u,z),y,x). L((x \ R(x,y,z)) \ u,x * L(x,y,z),x * L(x,y,z)) != w | (R(x,y,z) \ x) * u = w. (R(x,y,z) \ x) * u = L((x \ R(x,y,z)) \ u,a(z,y,x),x * L(x,y,z)). L((x \ R(x,y,z)) \ u,a(z,y,x),x * L(x,y,z)) = (R(x,y,z) \ x) * u. L(x,L(y,z,u) * L(L(y,z,u),w,v5),v6) != v7 | L(x,L(y * L(y,w,v5),z,u),v6) = v7. L(x,L(y * L(y,z,u),w,v5),v6) = L(x,a(u,z,L(y,w,v5)),v6). L(x,((y * z) \ z) * L((y * z) \ z,u,w),v5) != v6 | L(x,(y * z) \ (L(y,u,w) * z),v5) = v6. L(x,(y * z) \ (L(y,u,w) * z),v5) = L(x,a(w,u,(y * z) \ z),v5). L(x * L(x,y,z),a(z,y,x),u) * u = (x \ (L(x,y,z) \ 1)) \ u. a(x,y,a(z,u,w)) = a(x,y,a(w,u,z)). x != a(y,z,a(u,w,v5)) | a(u,w,a(y,z,v5)) = x. a(x,y,a(z,u,w)) = a(z,u,a(w,y,x)). a(x,y,a(z,u,w)) = a(w,u,a(x,y,z)). x != a(y,z,a(u,w,v5)) | a(y,z,u * R(u,w,v5)) = x. a(x,y,z * R(z,u,w)) = a(x,y,a(w,u,z)). x \ y != a(z,u,a(w,v5,v6)) | x * a(w,v5,a(v6,u,z)) = y. x * a(y,z,a(u,w,x)) = L(x,w,a(u,z,y)). x \ y != a(z,u,a(w,v5,v6)) | x * a(v6,v5,a(z,u,w)) = y. x * a(y,z,a(u,w,v5)) = a(u,w,a(v5,z,y)) * x. a(x,y,a(z,u,w)) * v5 = v5 * a(w,u,a(x,y,z)). x * a(y,z,a(u,w,v5)) != v6 | a(u,w,a(v5,z,y)) * x = v6. x * a(y,z,a(u,w,x)) = L(x,z,a(u,w,y)). a(a(x,y,z),u,w) = a(a(z,y,x),u,w). a(a(x,y,z),u,w) \ w != v5 | L(w,u,a(z,y,x)) = v5. x != a(a(y,z,u),y,w) | a(y,a(y,z,u),w) = x. a(x,a(x,y,z),u) = a(a(z,y,x),x,u). a(a(x,y,z),z,u) = a(z,a(z,y,x),u). x * a(y,z,a(u,w,x)) != v5 | L(x,w,a(u,z,y)) = v5. L(x,y,a(z,u,w)) = L(x,u,a(z,y,w)). x * a(y,z,a(u,w,v5)) = x * a(v5,z,a(u,w,y)). a(x,y,a(z,u,w)) * a(v5,v6,a(v7,v8,v9)) != v10 | a(w,u,a(x,y,z)) * a(v7,v8,a(v5,v6,v9)) = v10. x * a(y,z,a(u,w,x)) != v5 | L(x,z,a(u,w,y)) = v5. L(x,y,L(L(z,u,w) \ z,v5,v6)) != v7 | L(x,y,z * L(z,u,w)) = v7. L(x,y,a(z,u,w)) != v5 | L(x,y,a(w,u,z)) = v5. L(x,y,z * L(z,u,w)) != v5 | L(x,y,a(w,u,z)) = v5. L(x,y,L(z * L(z,u,w),v5,v6)) != v7 | L(x,y,a(w,u,L(z,v5,v6))) = v7. L(x,y,(L(z,u,w) \ z) * v5) != v6 | L(x,y,(z * L(z,u,w)) * v5) = v6. L(x,y,(z * L(z,u,w)) * v5) = L(x,y,a(w,u,z) * v5). L(x,y,z * (u * L(u,w,v5))) = L(x,y,a(v5,w,u) * z). L(x,y,z * (u \ L(u,w,v5))) = L(x,y,a(v5,w,u) * z). L(x,y,z * (L(u,w,v5) * L(L(u,w,v5),v6,v7))) != v8 | L(x,y,z * L(u * L(u,v6,v7),w,v5)) = v8. L(x,y,z * L(u * L(u,w,v5),v6,v7)) = L(x,y,a(v5,w,L(u,v6,v7)) * z). L(x,y,L(z,u,w)) = L(x,y,a(w,u,z) * z). L(x,y,a(z,u,w) * w) = L(x,y,L(w,u,z)). x != L(y,z,u) | L(y,z,L(u,a(w,v5,v6),v7)) = x. L(x,y,L(L(z,u,w),a(v5,v6,v7),v8)) = L(x,y,a(w,u,z) * z). L(x,y,a(z,u,L(w,v5,v6)) * L(w,v5,v6)) = L(x,y,L(L(w,u,z),v5,v6)). x * (a(y,z,u) \ a(y * z,u,a(y,z,u))) = (L(u,z,y) \ u) \ x. x \ L(y,z,a(u,w,v5)) != v6 | a(u,w,a(v5,z,y)) * (x \ y) = v6. L(x,y,a(z,u,w) * w) != v5 | L(x,y,L(w,u,z)) = v5. L(x,(y * z) \ (L(y,u,w) * z),v5) = L(x,a(w,u,z \ (y \ z)),v5). (x * L(x,y,z)) * u = (x \ (L(x,y,z) \ 1)) \ u. (x \ (L(x,y,z) \ 1)) \ u = (x * L(x,y,z)) * u. (x \ (L(x,y,z) \ 1)) * u = (x * L(x,y,z)) \ u. (x \ (L(x,y,z) \ 1)) * u != w | ((x * x) \ u) * (L(x,y,z) \ x) = w. ((x * x) \ y) * (L(x,z,u) \ x) = (x * L(x,z,u)) \ y. x \ y != ((z * z) \ u) * (L(z,w,v5) \ z) | x * ((z * L(z,w,v5)) \ u) = y. (x * x) * ((x * L(x,y,z)) \ u) = u * (L(x,y,z) \ x). (x * x) * ((x * L(x,y,z)) \ u) != w | (x \ L(x,y,z)) \ u = w. (x \ L(x,y,z)) \ u = u * (L(x,y,z) \ x). ((x \ L(x,y,z)) * u) \ u = L(x,y,z) \ x. x != y * (L(z,u,w) \ z) | (L(z,u,w) \ z) * y = x. (L(x,y,z) \ x) * u = (x \ L(x,y,z)) \ u. (x \ L(x,y,z)) \ u = (L(x,y,z) \ x) * u. (x \ (y * L(y \ x,z,u))) \ w = w * (L(x \ y,z,u) \ (x \ y)). a(x,y,a(z,u,w)) * (v5 * (L(w,u,z) \ w)) = L(w \ L(w,u,z),y,x) \ v5. a(x,y,z) \ (u * (L(z,y,x) \ z)) = u * a(z,z * L(z,y,x),x * y). ((x \ L(x,y,z)) * (x \ y)) \ (x \ y) != u | a(z,y,L(y \ (x \ y),y,z)) = u. a(x,y,L(y \ (z \ y),y,x)) = L(z,y,x) \ z. ((x \ L(x,y,z)) * u) \ u != w | u / (u * (x \ L(x,y,z))) = w. x / (x * (y \ L(y,z,u))) = L(y,z,u) \ y. (L(x,y,z) \ x) \ u = u * (x \ L(x,y,z)). x / (L(y,z,u) \ y) = x * (y \ L(y,z,u)). x \ y != a(a(z,u,w),v5,v6) * (w \ L(w,u,z)) | x * L(w \ L(w,u,z),v5,v6) = y. (L(x,y,z) \ x) * L(x \ L(x,y,z),u,w) = a(a(z,y,x),u,w). (x * (y \ L(y,z,u))) * a(y * L(y,z,u),w,v5) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. (x * (y \ L(y,z,u))) * L(L(y,z,u) \ y,w,v5) = x * a(y * L(y,z,u),w,v5). a(x,y,L(y \ (z \ y),y,x)) \ z = L(z,y,x). x * y != L(z,u,w) \ z | x \ a(w,u,L(u \ (z \ u),u,w)) = y. x \ a(y,z,L(z \ (x \ z),z,y)) = L(x,z,y) \ 1. R(x,a(y,z,L(z \ (u \ z),z,y)),w) = R(x,u * L(u,z,y),w). x * L(x \ (L(x,y,z) \ 1),u,w) = x \ L(a(z,y,L(y \ (x \ y),y,z)),u,w). x \ L(a(y,z,L(z \ (x \ z),z,y)),u,w) = x * L(x \ (L(x,z,y) \ 1),u,w). a(x,y,L(y \ T(y * z,z \ 1),y,x)) = L(L(z \ 1,z,y),y,x) \ L(z \ 1,z,y). L(x,a(y,z,L(z \ ((K(u,w) * v5) \ z),z,y)) \ v6,v7) = L(x,(L(K(u,w) * v5,z,y) \ v5) \ v6,v7). L(x,L(y \ 1,z,u) \ 1,w) = L(x,y \ a(u,z,L(z \ ((y \ 1) \ z),z,u)),w). L(x,y \ a(z,u,L(u \ ((y \ 1) \ u),u,z)),w) = L(x,L(y \ 1,u,z) \ 1,w). (x \ R(x,y,z)) \ a(u,w,L(w \ ((x \ R(x,y,z)) \ w),w,u)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. x * y != a(a(z,u,w),w,v5) | x \ a(w,a(w,u,z),v5) = y. (L(x,y,z) \ x) \ a(x,a(x,y,z),u) = L(x \ L(x,y,z),x,u). L(x,a(y,z,L(z \ (u \ z),z,y)),w) = R(x,u * L(u,z,y),w). R(x,y * L(y,z,u),w) = L(x,a(u,z,L(z \ (y \ z),z,u)),w). (a(x,y,z) \ u) * a(x * y,z,a(x,y,z)) = (L(z,y,x) \ z) \ u. ((x * y) \ (L(x,z,u) * y)) \ w = w * (L((x * y) \ y,z,u) \ ((x * y) \ y)). x * (L((y * z) \ z,u,w) \ ((y * z) \ z)) = ((y * z) \ (L(y,u,w) * z)) \ x. (L(x,y,a(z,x,y)) \ ((z \ ((z * x) * y)) * L((z \ ((z * x) * y)) \ L(x,y,a(z,x,y)),u,w))) \ v5 = v5 * (L(y * a(z,x,y),u,w) \ (L(x,y,a(z,x,y)) \ (z \ ((z * x) * y)))). ((1 / x) \ (a(y,z,x) * L(a(y,z,x) \ (1 / x),u,w))) \ v5 = v5 * (L(x * a(y,z,x),u,w) \ ((1 / x) \ a(y,z,x))). a(x,y,z) \ (a(x * y,z,a(x,y,z)) * u) = (L(z,y,x) \ z) \ u. x != (L(y,z,u) \ y) \ (y \ L(y,z,u)) | L(y,z,u) * L(y \ 1,z,u) = x. L(x,y,z) * L(x \ 1,y,z) = a(z,y,x) \ (a(z * y,x,a(z,y,x)) * (x \ L(x,y,z))). a(x,y,z) \ (a(x * y,z,a(x,y,z)) * (z \ L(z,y,x))) = L(z,y,x) * L(z \ 1,y,x). L(x,y,L(z * L(z,u,w),v5,v6) * v7) = L(x,y,a(w,u,L(z,v5,v6)) * v7). L(x,y,z * (T(u,z) * L(w * L(w,v5,v6),v7,v8))) = L(x,y,a(v6,v5,L(w,v7,v8)) * ((a(z,u,L(w * L(w,v5,v6),v7,v8)) \ u) * z)). L(x,y,a(z,u,L(w,v5,v6)) * ((a(v7,v8,L(w * L(w,u,z),v5,v6)) \ v8) * v7)) = L(x,y,v7 * (T(v8,v7) * L(w * L(w,u,z),v5,v6))). a(x,y,z) \ (u * (L(w,v5,v6) \ w)) != v7 | (L(w,v5,v6) \ w) * (a(x,y,z) \ u) = v7. (L(x,y,z) \ x) * (a(z,y,x) \ u) = u * a(x,x * L(x,y,z),z * y). L(x,y,L(z * L(z,u,w),v5,v6) * v7) != v8 | L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = v8. L(x,y,L(z \ L(z,u,w),v5,v6) * v7) = L(x,y,a(w,u,L(z,v5,v6)) * v7). (L(x,y,z) \ x) * (a(z,y,x) \ u) = u * a(a(z,y,x),x,z * y). (L(x,y,z) \ x) * (a(z,y,x) \ u) = u * a(x,a(x,y,z),z * y). (x \ R(x,y,z)) \ u = (R(x,y,z) \ x) * u. a(x,y,z) * (R(u,w,v5) \ u) = (u \ R(u,w,v5)) \ a(x,y,z). (x \ R(x,y,z)) \ a(u,w,v5) = a(u,w,v5) * (R(x,y,z) \ x). L((R(x,y,z) \ x) * u,x,x * L(x,y,z)) = R(x,y,z) \ (x * u). (x \ R(x,y,z)) \ L((R(x,y,z) \ x) * a(x,y,z),u,w) = L(R(x,y,z) \ x,x,y * z). L(a(x,y,z) * (R(x,y,z) \ x),u,a(w,v5,v6)) = (x \ R(x,y,z)) \ a(x,y,z). L((R(x,y,z) \ x) * u,x,a(x,y,z)) = R(x,y,z) \ (x * u). L(a(x,y,z) * (R(u,w,v5) \ u),u,a(u,w,v5)) = R(u,w,v5) \ (u * a(x,y,z)). a(x,y,a(z,u,w)) * (v5 * (L(w,u,z) \ w)) != v6 | v5 * (L(w \ L(w,u,z),y,x) \ 1) = v6. x * (L(y \ L(y,z,u),w,v5) \ 1) = L(y \ L(y,z,u),w,v5) \ x. L(x,L(y \ L(y,z,u),w,v5) \ v6,v7) = L(x,v6 * (L(y,z,u) \ y),v7). T(x,y) * (L(x,z,u) \ a(w,v5,a(u,z,x))) = L(x \ L(x,z,u),v5,w) \ K(x,y). (L(x \ L(x,y,z),u,w) \ 1) * v5 = L(x \ L(x,y,z),u,w) \ v5. x * (L(x \ L(x,y,z),u,w) \ 1) != v5 | L(x,u,w) \ ((L(1 / L(x,u,w),y,z) \ 1) * x) = v5. L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) = L(x \ L(x,u,w),y,z) \ x. L(x,L(y \ L(y,z,u),w,v5) \ v6,v7) != v8 | L(x,L(y \ L(y,z,u),w,v5) * v6,v7) = v8. x * (K(y,y \ x) * z) != u | (y * (x / y)) * z = u. (x * ((L(y \ L(y,z,u),w,v5) \ 1) / x)) * v6 = L(y \ L(y,z,u),w,v5) \ (K(x,x \ (L(y \ L(y,z,u),w,v5) \ 1)) * v6). L(x \ L(x,y,z),u,w) \ (K(v5,v5 \ (L(x \ L(x,y,z),u,w) \ 1)) * v6) = (v5 * ((L(x \ L(x,y,z),u,w) \ 1) / v5)) * v6. ((x \ L(x,y,z)) * (x \ L(x,y,z))) * (L(x \ L(x,y,z),u,w) \ v5) = (L((x \ L(x,y,z)) \ 1,u,w) \ 1) * v5. K(x,x \ 1) * (L(x \ L(x,y,z),u,w) \ v5) = ((L(x,y,z) \ a(w,u,a(z,y,x))) * x) * v5. x * (((y * z) \ (L(y,u,w) * z)) \ 1) = ((y * z) \ (L(y,u,w) * z)) \ x. x != (y \ R(y,z,u)) \ a(w,v5,v6) | a(w,v5,v6) * (R(y,z,u) \ y) = x. a(x,y,z) * (R(x,y,z) \ x) = L(a(x,y,z) * (R(x,y,z) \ x),u,a(w,v5,v6)). L(a(x,y,z) * (R(x,y,z) \ x),u,a(w,v5,v6)) = a(x,y,z) * (R(x,y,z) \ x). L(a(x,y,z) * (R(u,w,v5) \ u),u,a(u,w,v5)) != v6 | R(u,w,v5) \ (u * a(x,y,z)) = v6. R(x,y,z) \ (x * a(x,y,z)) = a(x,y,z) * (R(x,y,z) \ x). (x * (y \ L(y,z,u))) * L(L(y,z,u) \ y,w,v5) = x * a(a(u,z,y),w,v5). x != y * L(y \ (L(y,z,u) \ 1),w,v5) | y \ L(L(y,z,u) \ y,w,v5) = x. x \ L(L(x,y,z) \ x,u,w) = x \ L(a(z,y,L(y \ (x \ y),y,z)),u,w). x \ L(a(y,z,L(z \ (x \ z),z,y)),u,w) = x \ L(L(x,z,y) \ x,u,w). L(x,L(y \ 1,z,u),w) = L(x,y \ a(u,z,L(z \ ((y \ 1) \ z),z,u)),w). L(x,y \ a(z,u,L(u \ ((y \ 1) \ u),u,z)),w) = L(x,L(y \ 1,u,z),w). L(x,L(y,z,u),w) = L(x,y \ a(u,z,L(z \ ((y \ 1) \ z),z,u)),w). L(x,y \ a(z,u,L(u \ ((y \ 1) \ u),u,z)),w) = L(x,L(y,u,z),w). L(x,y \ a(z,u,w),v5) != v6 | L(x,a(z,u,w) * y,v5) = v6. L(x,a(y,z,L(z \ ((u \ 1) \ z),z,y)) * u,w) = L(x,L(u,z,y),w). (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = (L(x \ L(x,y,z),u,w) \ K(x,x \ 1)) * x. (x * (y \ L(y,z,u))) * a(a(u,z,y),w,v5) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. x * ((y \ L(y,z,u)) * a(a(u,z,y),w,v5)) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. x * (y * L(y \ a(a(z,u,y),w,v5),u,z)) = (L(y \ L(y,u,z),w,v5) \ 1) \ x. x * L(y \ L(y,z,u),w,v5) = (L(y \ L(y,z,u),w,v5) \ 1) \ x. (L(x \ L(x,y,z),u,w) \ 1) \ v5 = v5 * L(x \ L(x,y,z),u,w). a(x,y,L(z \ T(u,w),v5,v6)) != v7 | a(x,y,L(z \ u,v5,v6)) = v7. a(x,y,L(y \ (y * z),y,x)) = L(L(z \ 1,z,y),y,x) \ L(z \ 1,z,y). a(x,y,L(z,y,x)) = L(L(z \ 1,z,y),y,x) \ L(z \ 1,z,y). x != L(L(y,z,u),w,v5) \ L(y,z,u) | L(y \ L(y,w,v5),z,u) \ 1 = x. L((x \ 1) \ L(x \ 1,y,z),x,y) \ 1 = a(z,y,L(x,y,z)). a(x,y,L(z,y,x)) = L((z \ 1) \ L(z \ 1,y,x),z,y) \ 1. a(x,y,L(z,y,x)) = L(z \ L(z,y,x),z,y) \ 1. a(x,y,L(z,y,x)) \ 1 = L(z \ L(z,y,x),z,y). L(x \ L(x,y,z),x,y) = a(z,y,L(x,y,z)) \ 1. K(x,y) * (L(x \ L(x,z,u),w,v5) \ v6) != v7 | L(T(x,y) \ L(x,z,u),w,v5) \ v6 = v7. L(T(x,x \ 1) \ L(x,y,z),u,w) \ v5 = ((L(x,y,z) \ a(w,u,a(z,y,x))) * x) * v5. ((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5 = L(T(x,x \ 1) \ L(x,y,z),w,u) \ v5. ((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5 = L(x * L(1 / x,y,z),w,u) \ v5. (x \ (x * L(y,z,u))) * R((x \ (x * L(y,z,u))) \ y,w,v5) != x \ v6 | x * (a(a(u,z,y),w,v5) * y) = v6. x \ y != (x \ (x * L(z,u,w))) * R((x \ (x * L(z,u,w))) \ z,v5,v6) | x * (a(a(w,u,z),v5,v6) * z) = y. L(x,a(y,z,L(z \ (u \ (K(w,v5) * z)),z,y)) \ v6,v7) = L(x,(L(K(v5,w) * u,z,y) \ u) \ v6,v7). L(x,a(y,z,L(z \ (u \ (K(w,v5) * z)),z,y)) * v6,v7) = L(x,(L(K(v5,w) * u,z,y) \ u) \ v6,v7). L(x,(L(K(y,z) * u,w,v5) \ u) \ v6,v7) = L(x,a(v5,w,L(w \ (u \ (K(z,y) * w)),w,v5)) * v6,v7). L(x,(L(y,z,u) \ (K(w,v5) * y)) \ v6,v7) = L(x,a(u,z,L(z \ (y \ (K(w,v5) * z)),z,u)) * v6,v7). L(x,(y \ (K(z,u) * w)) \ v5,v6) != v7 | L(x,(y \ w) \ v5,v6) = v7. L(x,(L(y,z,u) \ y) \ w,v5) = L(x,a(u,z,L(z \ (y \ (K(v6,v7) * z)),z,u)) * w,v5). L(x,y * (z \ L(z,u,w)),v5) = L(x,a(w,u,L(u \ (z \ (K(v6,v7) * u)),u,w)) * y,v5). L(x,a(y,z,L(z \ (u \ (K(w,v5) * z)),z,y)) * v6,v7) = L(x,v6 * (u \ L(u,z,y)),v7). x != L(y,z * (u \ L(u,w,v5)),v6) | L(y,z * (u * L(u,w,v5)),v6) = x. L(x,y * (z * L(z,u,w)),v5) = L(x,a(w,u,L(u \ (z \ (K(v6,v7) * u)),u,w)) * y,v5). L(x,a(y,z,L(z \ (u \ (K(w,v5) * z)),z,y)) * v6,v7) = L(x,v6 * (u * L(u,z,y)),v7). a(x,y,(L(z,u,w) * L(L(z,u,w) \ z,v5,v6)) * v7) = a(x,y,(a(v6,v5,z * L(z,u,w)) * z) * v7). a(x,y,(L(z,u,w) * L(L(z,u,w) \ z,v5,v6)) * v7) = a(x,y,(z * a(w,u,z * L(z,v5,v6))) * v7). x != a(y,z,(u * a(w,v5,v6)) * v7) | a(y,z,a(w,v5,v6) * (u * v7)) = x. a(x,y,a(z,u,w * L(w,v5,v6)) * (w * v7)) = a(x,y,(L(w,u,z) * L(L(w,u,z) \ w,v5,v6)) * v7). a(x,y,(L(z,u,w) * L(L(z,u,w) \ z,v5,v6)) * v7) = a(x,y,a(w,u,z * L(z,v5,v6)) * (z * v7)). a(x,y,(a(z * L(z,u,w),v5,v6) * z) * v7) = a(x,y,a(w,u,z * L(z,v5,v6)) * (z * v7)). a(x,y,(a(z,u,w) * v5) * v6) != v7 | a(x,y,a(z,u,w) * (v5 * v6)) = v7. a(x,y,a(z * L(z,u,w),v5,v6) * (z * v7)) = a(x,y,a(w,u,z * L(z,v5,v6)) * (z * v7)). a(x,y,a(z,u,w) * (v5 * v6)) != v7 | a(x,y,v5 * (v6 * a(z,u,w))) = v7. a(x,y,z * (u * a(z * L(z,w,v5),v6,v7))) = a(x,y,a(v5,w,z * L(z,v6,v7)) * (z * u)). a(x,y,a(z,u,w * L(w,v5,v6)) * (w * v7)) = a(x,y,w * (v7 * a(w * L(w,u,z),v5,v6))). a(x,y,a(z,u,w * L(w,v5,v6)) * (w * L(w,v5,v6))) != v7 | a(x,y,L(w * L(w,v5,v6),u,z)) = v7. a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,z * (L(z,u,w) * a(z * L(z,v5,v6),u,w))). a(x,y,z * (L(z,u,w) * a(z * L(z,v5,v6),u,w))) = a(x,y,L(z * L(z,u,w),v5,v6)). a(x,y,z * (L(z,u,w) * a(a(v5,v6,z),u,w))) = a(x,y,L(z * L(z,u,w),v6,v5)). a(x,y,z * L(z * a(a(u,w,z),v5,v6),v5,v6)) = a(x,y,L(z * L(z,v5,v6),w,u)). a(x,y,z * L(u * a(a(w,v5,v6),v7,v8),v9,v10)) != v11 | a(x,y,z * L(u,v9,v10)) = v11. a(x,y,z * L(z,u,w)) = a(x,y,L(z * L(z,u,w),v5,v6)). a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,z * L(z,u,w)). a(x,y,a(z,u,w)) = a(x,y,L(w * L(w,u,z),v5,v6)). a(x,y,L(z * L(z,u,w),v5,v6)) = a(x,y,a(w,u,z)). a(x,y,L(z * L(z,u,w),v5,v6)) != v7 | a(x,y,L(z \ L(z,u,w),v5,v6)) = v7. a(x,y,L(z \ L(z,u,w),v5,v6)) = a(x,y,a(w,u,z)). a(x,y,L(z * L(z,u,w),v5,v6)) != v7 | a(x,y,a(w,u,L(z,v5,v6))) = v7. a(x,y,a(z,u,L(w,v5,v6))) = a(x,y,a(z,u,w)). (x \ R(x,y,z)) \ a(u,w,L(w \ ((R(x,y,z) \ x) * w),w,u)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. (x \ R(x,y,z)) \ a(u,w,L(T(R(x,y,z) \ x,w),w,u)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. (x \ R(x,y,z)) \ a(u,w,L(R(x,y,z) \ x,w,u)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. (x \ R(x,y,z)) \ a(u,w,x * R(x,y,z)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. (x \ R(x,y,z)) \ u != w | (R(x,y,z) \ x) * u = w. (R(x,y,z) \ x) * a(u,w,x * R(x,y,z)) = ((u * (w * (x \ R(x,y,z)))) / (u * w)) \ 1. ((x * (y * (z \ R(z,u,w)))) / (x * y)) \ 1 = (R(z,u,w) \ z) * a(x,y,z * R(z,u,w)). L(x \ R(x,y,z),u,w) \ 1 = (R(x,y,z) \ x) * a(w,u,x * R(x,y,z)). (R(x,y,z) \ x) * a(u,w,x * R(x,y,z)) = L(x \ R(x,y,z),w,u) \ 1. (R(x,y,z) \ x) * a(u,w,a(x,y,z)) = L(x \ R(x,y,z),w,u) \ 1. L(x \ L(x,y,z),u,w) * L(a(x * L(x,y,z),v5,v6),u,w) = L(L(x \ L(x,y,z),u,w),v5,v6) * 1. L(L(x \ L(x,y,z),u,w),v5,v6) = L(x \ L(x,y,z),u,w) * L(a(x * L(x,y,z),v5,v6),u,w). L(x \ L(x,y,z),u,w) * L(a(x * L(x,y,z),v5,v6),u,w) = L(L(x \ L(x,y,z),u,w),v5,v6). L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)) = L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)). L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)). (L(x,y,z) * L(x \ 1,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = (L((x \ L(x,y,z)) \ 1,u,w) \ 1) * v5. (L(x,y,z) * L(x \ 1,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) != v6 | L(L(x,y,z) \ x,u,w) \ v5 = v6. L(L(x,y,z) \ x,u,w) \ v5 = (L((x \ L(x,y,z)) \ 1,u,w) \ 1) * v5. (L((x \ L(x,y,z)) \ 1,u,w) \ 1) * v5 = L(L(x,y,z) \ x,u,w) \ v5. (L(L(x,y,z) \ x,u,w) \ 1) * v5 = L(L(x,y,z) \ x,u,w) \ v5. (L(L(x,y,z) \ x,u,w) \ 1) \ v5 = L(L(x,y,z) \ x,u,w) * v5. (x * (a(y,z,x) \ L(x \ a(y,z,x),u,w))) \ v5 = v5 * (L(x * a(y,z,x),u,w) \ ((1 / x) \ a(y,z,x))). x * (L(y * a(z,u,y),w,v5) \ ((1 / y) \ a(z,u,y))) = (y * (a(z,u,y) \ L(y \ a(z,u,y),w,v5))) \ x. x * (L(y * a(z,u,y),w,v5) \ (y * a(z,u,y))) = (y * (a(z,u,y) \ L(y \ a(z,u,y),w,v5))) \ x. (x * (a(y,z,x) \ L(x \ a(y,z,x),u,w))) \ v5 = v5 * (L(x * a(y,z,x),u,w) \ (x * a(y,z,x))). L(x,y * L(L(L(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w)),v7) = L(x,y * (z * (a(z * L(z,u,w),v5,v6) * L(z,u,w))),v7). L(x \ L(x,y,z),u,w) \ (K(v5,v5 \ ((x \ L(x,y,z)) \ 1)) * v6) = (v5 * ((L(x \ L(x,y,z),u,w) \ 1) / v5)) * v6. L(x \ L(x,y,z),u,w) \ (K(v5,v5 \ 1) * v6) = (v5 * ((L(x \ L(x,y,z),u,w) \ 1) / v5)) * v6. L(x \ L(x,y,z),u,w) \ K(v5,v5 \ 1) = v5 * ((L(x \ L(x,y,z),u,w) \ 1) / v5). K(x,x \ 1) * (L(y \ L(y,z,u),w,v5) \ v6) = (x * ((L(y \ L(y,z,u),w,v5) \ 1) / x)) * v6. (x * ((L(y \ L(y,z,u),w,v5) \ 1) / x)) * v6 = K(x,x \ 1) * (L(y \ L(y,z,u),w,v5) \ v6). (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)) * x. x != K(y,y \ 1) * (L(z \ L(z,u,w),v5,v6) \ v7) | L((y \ (z \ L(z,u,w))) * y,v5,v6) \ v7 = x. L((x \ (y \ L(y,z,u))) * x,w,v5) \ v6 = (x * ((L(y \ L(y,z,u),w,v5) \ 1) / x)) * v6. (x * ((L(y \ L(y,z,u),w,v5) \ 1) / x)) * v6 = L((x \ (y \ L(y,z,u))) * x,w,v5) \ v6. x != (y * ((L(z \ L(z,u,w),v5,v6) \ 1) / y)) * v7 | L((y \ (z \ L(z,u,w))) * y,v5,v6) \ v7 = x. L((x \ (x \ L(x,y,z))) * x,u,w) \ x = (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))). (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = L((x \ (x \ L(x,y,z))) * x,u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = L(L(x \ 1,y,z) * x,u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ a(w,u,a(z,y,x))) = L(x * L(1 / x,y,z),u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) * T(x,L(x,y,z) \ 1) = L(x * L(1 / x,y,z),u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) * T(x,x \ 1) = L(x * L(1 / x,y,z),u,w) \ x. (L(x \ L(x,y,z),u,w) \ 1) * v5 != v6 | L(x \ L(x,y,z),u,w) \ v5 = v6. L(x \ L(x,y,z),u,w) \ T(x,x \ 1) = L(x * L(1 / x,y,z),u,w) \ x. L(x,y * L(L(L(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w)),v7) = L(x,y * (z * (z * L(z \ L(z,u,w),v5,v6))),v7). L(x,y * L(L(L(z,u,w) \ z,v5,v6),L(z,u,w),L(z,u,w)),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). L(x,y * L((1 / L(z,u,w)) * z,v5,v6),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). L(x,y * L(L(z,u,w) \ z,v5,v6),v7) = L(x,y * L(z * L(z,u,w),v5,v6),v7). x != L(y,z,u * (T(w,v5) * v6)) | L(y,z,u * (w * v6)) = x. L(x,y,z * (u * L(w * L(w,v5,v6),v7,v8))) = L(x,y,a(v6,v5,L(w,v7,v8)) * ((a(z,u,L(w * L(w,v5,v6),v7,v8)) \ u) * z)). L(x,y,a(z,u,L(w,v5,v6)) * ((a(v7,v8,L(w * L(w,u,z),v5,v6)) \ v8) * v7)) = L(x,y,v7 * (v8 * L(w * L(w,u,z),v5,v6))). L(x,y,a(z,u,L(w,v5,v6)) * ((a(v7,v8,a(z,u,w)) \ v8) * v7)) = L(x,y,v7 * (v8 * L(w * L(w,u,z),v5,v6))). L(x,y,a(z,u,L(w,v5,v6)) * ((v7 * a(a(z,u,w),v7,v8)) * v8)) = L(x,y,v8 * (v7 * L(w * L(w,u,z),v5,v6))). L(x,y,a(z,u,L(w,v5,v6)) * (v7 * (a(a(z,u,w),v7,v8) * v8))) = L(x,y,v8 * (v7 * L(w * L(w,u,z),v5,v6))). L(x,y,z * (u * (a(a(w,v5,v6),v7,v8) * v9))) != v10 | L(x,y,z * (u * v9)) = v10. L(x,y,a(z,u,L(w,v5,v6)) * (v7 * v8)) = L(x,y,v8 * (v7 * L(w * L(w,u,z),v5,v6))). L(x,y,z * (u * L(w * L(w,v5,v6),v7,v8))) = L(x,y,a(v6,v5,L(w,v7,v8)) * (u * z)). L(x,y,a(z,u,L(w,v5,v6)) * (v7 * v8)) != v9 | L(x,y,(v7 * L(w \ L(w,u,z),v5,v6)) * v8) = v9. R(a(x,y,z),u,a(w,v5,a(x,y,z)) * ((L(a(x,y,z) \ 1,v5,w) \ u) \ v6)) \ v6 = (a(x,y,z) \ (L(a(x,y,z) \ 1,v5,w) \ u)) * ((L(a(x,y,z) \ 1,v5,w) \ u) \ v6). T(((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5,K(x,L(x,y,z) \ a(u,w,a(z,y,x)))) = (L(x \ L(x,y,z),w,u) \ 1) * (v5 * K(L(x,y,z) \ 1,x)). T(((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5,K(x,L(x,y,z) \ a(u,w,a(z,y,x)))) = (L(x \ L(x,y,z),w,u) \ 1) * (v5 * K(x,x \ 1)). x != (L(y \ L(y,z,u),w,v5) \ 1) * (v6 * K(v7,v8)) | v6 * (L(y \ L(y,z,u),w,v5) \ K(v7,v8)) = x. x * (L(y \ L(y,z,u),w,v5) \ K(y,y \ 1)) = T(((L(y,z,u) \ a(v5,w,a(u,z,y))) * y) * x,K(y,L(y,z,u) \ a(v5,w,a(u,z,y)))). T(((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5,K(x,L(x,y,z) \ a(u,w,a(z,y,x)))) = v5 * (L(x \ L(x,y,z),w,u) \ K(x,x \ 1)). T(((L(x,y,z) \ a(u,w,a(z,y,x))) * x) * v5,K(x,L(x,y,z) \ a(u,w,a(z,y,x)))) = v5 * (x * ((L(x \ L(x,y,z),w,u) \ 1) / x)). T(L(x * L(1 / x,y,z),u,w) \ v5,K(x,L(x,y,z) \ a(w,u,a(z,y,x)))) = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). T(L(x * L(1 / x,y,z),u,w) \ v5,K(x,L(x,y,z) \ 1)) = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). T(L(x * L(1 / x,y,z),u,w) \ v5,K(x,x * 1)) = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). T(L(x * L(1 / x,y,z),u,w) \ v5,K(x,x)) = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). T(L(x * L(1 / x,y,z),u,w) \ v5,1) = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). x * (y * ((L(y \ L(y,z,u),w,v5) \ 1) / y)) = T(L(y * L(1 / y,z,u),w,v5) \ x,1). L(x * L(1 / x,y,z),u,w) \ v5 = v5 * (x * ((L(x \ L(x,y,z),u,w) \ 1) / x)). x * (y * ((L(y \ L(y,z,u),w,v5) \ 1) / y)) = L(y * L(1 / y,z,u),w,v5) \ x. R(a(x,y,z),u,(u * a(x,y,z)) \ w) \ w = (a(x,y,z) \ (L(a(x,y,z) \ 1,v5,v6) \ u)) * ((L(a(x,y,z) \ 1,v5,v6) \ u) \ w). L(a(x,y,z),u,(u * a(x,y,z)) \ w) \ w = (a(x,y,z) \ (L(a(x,y,z) \ 1,v5,v6) \ u)) * ((L(a(x,y,z) \ 1,v5,v6) \ u) \ w). L(a(x,y,z),u,a(x,y,z) * (u \ w)) \ w = (a(x,y,z) \ (L(a(x,y,z) \ 1,v5,v6) \ u)) * ((L(a(x,y,z) \ 1,v5,v6) \ u) \ w). L(a(x,y,z),u,a(x,y,z) * (u \ w)) \ w = (u * a(v5,v6,a(x,y,z))) * ((L(a(x,y,z) \ 1,v6,v5) \ u) \ w). x != (y * a(z,u,a(w,v5,v6))) * v7 | y * (a(z,u,a(w,v5,v6)) * v7) = x. x * (a(y,z,a(u,w,v5)) * ((L(a(u,w,v5) \ 1,z,y) \ x) \ v6)) = L(a(u,w,v5),x,a(u,w,v5) * (x \ v6)) \ v6. L(a(x,y,z),u,a(x,y,z) * (u \ w)) \ w = u * (a(v5,v6,a(x,y,z)) * ((L(a(x,y,z) \ 1,v6,v5) \ u) \ w)). L(a(x,y,z),u,a(x,y,z) * (u \ w)) \ w = u * ((u * a(x,y,z)) \ w). K(L(x \ L(x,y,z),u,w) \ v5,v6) * T((L(x \ L(x,y,z),u,w) \ T(v5,v6)) * K(v6,L(x \ L(x,y,z),u,w) \ T(v5,v6)),v5) = L(x \ L(x,y,z),u,w) \ T(v5,v6). K((x \ L(x,y,z)) \ u,w) * T((L(x \ L(x,y,z),v5,v6) \ T(u,w)) * K(w,L(x \ L(x,y,z),v5,v6) \ T(u,w)),u) = L(x \ L(x,y,z),v5,v6) \ T(u,w). K((L(x,y,z) \ x) * u,w) * T((L(x \ L(x,y,z),v5,v6) \ T(u,w)) * K(w,L(x \ L(x,y,z),v5,v6) \ T(u,w)),u) = L(x \ L(x,y,z),v5,v6) \ T(u,w). K((x \ x) * y,z) * T((L(x \ L(x,u,w),v5,v6) \ T(y,z)) * K(z,L(x \ L(x,u,w),v5,v6) \ T(y,z)),y) = L(x \ L(x,u,w),v5,v6) \ T(y,z). K(x,y) * T((L(z \ L(z,u,w),v5,v6) \ T(x,y)) * K(y,L(z \ L(z,u,w),v5,v6) \ T(x,y)),x) = L(z \ L(z,u,w),v5,v6) \ T(x,y). K(x,y) * T((L(z \ L(z,u,w),v5,v6) \ T(x,y)) * K(y,L(z \ L(z,u,w),v5,v6) \ x),x) = L(z \ L(z,u,w),v5,v6) \ T(x,y). K(x,y) * T((L(z \ L(z,u,w),v5,v6) \ T(x,y)) * K(y,(z \ L(z,u,w)) \ x),x) = L(z \ L(z,u,w),v5,v6) \ T(x,y). K(x,y) * T((L(z \ L(z,u,w),v5,v6) \ T(x,y)) * K(y,x),x) = L(z \ L(z,u,w),v5,v6) \ T(x,y). K(x,y) * T(L(z \ L(z,u,w),v5,v6) \ x,x) = L(z \ L(z,u,w),v5,v6) \ T(x,y). K(x,y) * T(L(z \ L(z,u,w),v5,v6) \ x,x) != v7 | T(L(z \ L(z,u,w),v5,v6) \ x,T(y,x)) = v7. T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)) = L(x \ L(x,y,z),u,w) \ T(v5,v6). T(L(x \ L(x,y,z),u,w) \ v5,T(v6,v5)) != v7 | T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5) = v7. T(T(L(x \ L(x,y,z),u,w) \ v5,v6),v5) = L(x \ L(x,y,z),u,w) \ T(v5,v6). T(L(x \ L(x,y,z),u,w) \ v5,v6) = L(x \ L(x,y,z),u,w) \ T(v5,v6). x != L(y \ L(y,z,u),w,v5) \ T(y,y \ 1) | L(y * L(1 / y,z,u),w,v5) \ y = x. L(x * L(1 / x,y,z),u,w) \ x = T(L(x \ L(x,y,z),u,w) \ x,x \ 1). T(L(x \ L(x,y,z),u,w) \ x,x \ 1) = L(x * L(1 / x,y,z),u,w) \ x. (L(T(x,x \ 1),y,z) * L(T(x,L(x,y,z) \ 1),y,z)) * (u * (1 / L(T(x,L(x,y,z) \ 1),y,z))) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). (L(T(x,x \ 1),y,z) * L(T(x,x \ 1),y,z)) * (u * (1 / L(T(x,L(x,y,z) \ 1),y,z))) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). (L(x,y,z) * L(T(T(x,x \ 1),x \ 1),y,z)) * (u * (1 / L(T(x,L(x,y,z) \ 1),y,z))) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). (L(x,y,z) * L(x,y,z)) * (u * (1 / L(T(x,L(x,y,z) \ 1),y,z))) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). (L(x,y,z) * L(x,y,z)) * (u * (L(x,y,z) \ 1)) = L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)). L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)) = (L(x,y,z) * L(x,y,z)) * (u * (L(x,y,z) \ 1)). x != (y * y) * (z * (y \ 1)) | T(z * y,y \ (y \ 1)) = x. T(x * L(y,z,u),L(y,z,u) \ (L(y,z,u) \ 1)) = L(T(y,L(y,z,u) \ 1),z,u) * T(x,T(L(y,z,u) \ 1,y)). L(T(x,L(x,y,z) \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)) = T(u * L(x,y,z),L(x,y,z) \ (L(x,y,z) \ 1)). L(T(x,x \ 1),y,z) * T(u,T(L(x,y,z) \ 1,x)) = T(u * L(x,y,z),L(x,y,z) \ (L(x,y,z) \ 1)). T(x * L(y,z,u),L(y,z,u) \ (L(y,z,u) \ 1)) = L(T(y,y \ 1),z,u) * T(x,T(L(y,z,u) \ 1,y)). T(x * L(y,z,u),L(y,z,u) \ (L(y,z,u) \ 1)) = L(T(y,y \ 1),z,u) * T(x,1 / L(y,z,u)). T(x * L(y,z,u),L(y,z,u) \ (L(y,z,u) \ 1)) = L(T(y,y \ 1),z,u) * T(x,y \ 1). (L(x,y,z) \ 1) \ x = L(T(x,x \ 1),y,z) * T(x,x \ 1). L(T(x,x \ 1),y,z) * T(x,x \ 1) = (L(x,y,z) \ 1) \ x. T(x,x \ 1) * L(T(x,x \ 1),y,z) = (L(x,y,z) \ 1) \ x. T(x,y) * L(T(x,y),z,u) != w | x * L(T(T(x,y),y),z,u) = w. x * L(T(T(x,x \ 1),x \ 1),y,z) = (L(x,y,z) \ 1) \ x. x * L(x,y,z) = (L(x,y,z) \ 1) \ x. (L(x,y,z) \ 1) \ x = x * L(x,y,z). L((x * L(x,y,z)) \ u,(L(x,y,z) \ 1) \ x,L(x,y,z) \ 1) = x \ ((L(x,y,z) \ 1) * u). R(x,y,z * L(z,u,w)) = R(x,y,L(z,u,w) \ z). R(x,y,L(z,u,w) \ z) = R(x,y,z * L(z,u,w)). a(x * L(x,y,z),u,w) = a(L(x,y,z) \ x,u,w). a(L(x,y,z) \ x,u,w) = a(x * L(x,y,z),u,w). L(x,y * (z * L(z,u,w)),v5) = L(x,y * (L(z,u,w) \ z),v5). L(x,y * (L(z,u,w) \ z),v5) = L(x,y * (z * L(z,u,w)),v5). L(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,L(L(z,u,w) \ z,v5,v6)). L(x,y,L(L(z,u,w) \ z,v5,v6)) = L(x,y,L(z * L(z,u,w),v5,v6)). L(x,L(y * L(y,z,u),w,v5),v6) = L(x,L(L(y,z,u) \ y,w,v5),v6). L(x,L(L(y,z,u) \ y,w,v5),v6) = L(x,L(y * L(y,z,u),w,v5),v6). L(x,y,z * L(u * L(u,w,v5),v6,v7)) = L(x,y,z * L(L(u,w,v5) \ u,v6,v7)). L(x,y,z * L(L(u,w,v5) \ u,v6,v7)) = L(x,y,z * L(u * L(u,w,v5),v6,v7)). (x * L(x,y,z)) * K(x,u) = (L(x,y,z) \ 1) \ T(x,u). (L(x,y,z) \ 1) \ T(x,u) = (x * L(x,y,z)) * K(x,u). R(x,y * L(y,z,u),L(y,z,u) \ y) != w | ((L(y,z,u) \ y) * x) * (y \ L(y,z,u)) = w. ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = R(u,x * L(x,y,z),x * L(x,y,z)). R(T((x \ L(x,y,z)) \ u,w),x \ L(x,y,z),L(x,y,z) \ x) != v5 | T((u * (L(x,y,z) \ x)) / 1,w) = v5. T((x * (L(y,z,u) \ y)) / 1,w) = R(T((y \ L(y,z,u)) \ x,w),y \ L(y,z,u),y * L(y,z,u)). R(T((x \ L(x,y,z)) \ u,w),x \ L(x,y,z),x * L(x,y,z)) = T((u * (L(x,y,z) \ x)) / 1,w). x != (y * z) * K(u,w) | y * (z * K(u,w)) = x. x * (L(x,y,z) * K(x,u)) = (L(x,y,z) \ 1) \ T(x,u). (L(x,y,z) \ 1) \ T(x,u) = x * (L(x,y,z) * K(x,u)). (L(x,y,z) \ 1) \ T(x,u) = x * L(x * K(x,u),y,z). (L(x,y,z) \ 1) \ T(x,u) = x * L(T(x,u),y,z). (L(x,y,z) \ 1) \ T(x,x \ 1) != u | (1 / L(x,y,z)) \ x = u. (1 / L(x,y,z)) \ x = x * L(T(x,x \ 1),y,z). x * L(T(x,x \ 1),y,z) = (1 / L(x,y,z)) \ x. x * L(T(x,x \ 1),y,z) != u | (1 / x) \ L(x,y,z) = u. (1 / x) \ L(x,y,z) = (1 / L(x,y,z)) \ x. (1 / L(x,y,z)) \ x = (1 / x) \ L(x,y,z). (x / (1 / L(x,y,z))) * (L(x / (1 / L(x,y,z)),u,w) \ v5) = ((1 / x) \ L(x,y,z)) * (L((1 / L(x,y,z)) \ x,u,w) \ v5). L(x,L(y / (1 / L(y,z,u)),w,v5) * v6,v7) = L(x,L((1 / y) \ L(y,z,u),w,v5) * v6,v7). L(x,y * (L(z,u,w) \ z),v5) != v6 | L(x,L(z \ L(z,u,w),v7,v8) \ y,v5) = v6. L(x,L(y \ L(y,z,u),w,v5) \ v6,v7) = L(x,v6 * (y * L(y,z,u)),v7). L(x,y,z * L(z,u,w)) = L(x,y,L(z * L(z,u,w),v5,v6)). L(x,y,L(z * L(z,u,w),v5,v6)) = L(x,y,z * L(z,u,w)). L(x,y,a(z,u,L(w,v5,v6))) = L(x,y,w * L(w,u,z)). L(x,y,L(z * L(z,u,w),v5,v6)) != v7 | L(x,y,L(z \ L(z,u,w),v5,v6)) = v7. L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,z * L(z,u,w)). x != L(y,z,u * L(u,w,v5)) | L(y,z,a(v5,w,u)) = x. L(x,y,a(z,u,w)) = L(x,y,a(z,u,L(w,v5,v6))). L(x,y,a(z,u,L(w,v5,v6))) = L(x,y,a(z,u,w)). L(x,y,a(L(z,u,w),v5,v6)) = L(x,y,a(v6,v5,z)). L(x,y,a(z,u,w)) = L(x,y,L(w \ L(w,u,z),v5,v6)). L(x,y,L(z \ L(z,u,w),v5,v6)) = L(x,y,a(w,u,z)). L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(w,u,L(z,v5,v6))). L(x,(y * L(z,u,w)) \ (y * z),v5) = L(x,L(z * L(z,u,w),L(z,u,w),y),v5). L(x,L(y * L(y,z,u),L(y,z,u),w),v5) = L(x,(w * L(y,z,u)) \ (w * y),v5). L(x,L(y \ L(y,z,u),w,v5) * v6,v7) = L(x,v6 * (y * L(y,z,u)),v7). L(x,y,L(L(z \ L(z,u,w),v5,v6),v7,v8)) != v9 | L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = v9. L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,a(w,u,L(z,v5,v6))). x != L(y,z,a(u,w,L(v5,v6,v7))) | L(y,z,a(u,w,v5)) = x. L(x,y,a(z,u,w)) = L(x,y,L(L(L(w,u,z) \ w,v5,v6),v7,v8)). L(x,y,L(L(L(z,u,w) \ z,v5,v6),v7,v8)) = L(x,y,a(w,u,z)). L(x,y,a(a(z,u,w),v5,v6) * w) = L(x,y,L(w,u,z) * L(w * L(w,u,z),v5,v6)). L(x,y,L(z,u,w) * L(z * L(z,u,w),v5,v6)) = L(x,y,a(a(w,u,z),v5,v6) * z). x != L(y,z,a(a(u,w,v5),v6,v7) * v8) | L(y,z,v8) = x. L(x,y,z) = L(x,y,L(z,u,w) * L(z * L(z,u,w),v5,v6)). L(x,y,L(z,u,w) * L(z * L(z,u,w),v5,v6)) = L(x,y,z). L(x,y,z * L(u * L(u,w,v5),v6,v7)) != v8 | L(x,y,a(v5,w,L(u,v6,v7)) * z) = v8. L(x,y,a(z,u,L(w,v5,v6)) * L(w,u,z)) = L(x,y,w). L(x,y,L(L(z,u,w),u,w)) = L(x,y,z). L(x,y,L(z * u,z,z)) = L(x,y,z \ u). L(x,y,L(T((z * u) / z,w * z),z,w)) = L(x,y,(w \ (u * (w * z))) / z). L(x,y,(1 / z) * L(L(z * u,w,v5),v6,v7)) = L(x,y,z \ L(L(z \ u,w,v5),v6,v7)). L(x,y,L((z * u) / z,z,w)) = L(x,y,(w \ (u * (w * z))) / z). L(x,y,L(z \ (z * u),z,w)) = L(x,y,(w \ (u * (w * z))) / z). L(x,y,L(z,u,w)) = L(x,y,(w \ (z * (w * u))) / u). L(x,y,(z \ (u * (z * w))) / w) = L(x,y,L(u,w,z)). L(x,y,z \ (u \ (w * (u * z)))) = L(x,y,L(w,z,u)). L(x,y,(z \ 1) * L(L(z * u,w,v5),v6,v7)) = L(x,y,z \ L(L(z \ u,w,v5),v6,v7)). L(x,y,z \ L(L(z \ u,w,v5),v6,v7)) != v8 | L(x,y,L(L(z * u,w,v5),v6,v7) * z) = v8. L(x,L(y * L(y,z,u),w,v5) * v6,v7) = L(x,L((1 / y) \ L(y,z,u),w,v5) * v6,v7). L(x,L((1 / y) \ L(y,z,u),w,v5) * v6,v7) = L(x,L(y * L(y,z,u),w,v5) * v6,v7). L(x,L((1 / y) \ z,u,w) * v5,v6) != v7 | L(x,L(y \ z,u,w) * v5,v6) = v7. L(x,L(y \ L(y,z,u),w,v5) * v6,v7) = L(x,L(y * L(y,z,u),w,v5) * v6,v7). L(x,L(y \ L(y,z,u),w,v5) * v6,v7) != v8 | L(x,v6 * (y * L(y,z,u)),v7) = v8. L(x,y * (z * L(z,u,w)),v5) = L(x,L(z * L(z,u,w),v6,v7) * y,v5). L(x,L(y * L(y,z,u),w,v5) * v6,v7) = L(x,v6 * (y * L(y,z,u)),v7). L(x,(a(y,z,u) \ 1) * w,v5) = L(x,L(u * L(u,z,y),u,y * z) * w,v5). L(x,L(y * L(y,z,u),y,u * z) * w,v5) = L(x,(a(u,z,y) \ 1) * w,v5). L(x,L(y * L(y,z,u),w,v5),v6) = L(x,a(v7,v8,a(v9,v10,v11)) * (y * L(y,z,u)),v6). L(x,y * L(z * L(z,u,w),v5,v6),v7) = L(x,y * (z * L(z,u,w)),v7). L(x,y * L(z * L(z,u,w),v5,v6),v7) != v8 | L(x,y * L(L(z,u,w) \ z,v5,v6),v7) = v8. L(x,y * L(L(z,u,w) \ z,v5,v6),v7) = L(x,y * (z * L(z,u,w)),v7). L(x,y * L(z * L(z,u,w),v5,v6),v7) != v8 | L(x,y * (L(z,v5,v6) * L(L(z,v5,v6),u,w)),v7) = v8. L(x,y * (L(z,u,w) * L(L(z,u,w),v5,v6)),v7) = L(x,y * (z * L(z,v5,v6)),v7). L(x,L(y * L(y,z,u),y,u * z) * w,v5) != v6 | L(x,a(u,z,y) * w,v5) = v6. L(x,a(y,z,u) * w,v5) = L(x,w * (u * L(u,z,y)),v5). L(x,y * (z * L(z,u,w)),v5) = L(x,a(w,u,z) * y,v5). L(x,y * (z * L(z,u,w)),v5) != v6 | L(x,a(w,u,z) * y,v5) = v6. L(x,y * (L(z,u,w) * L(L(z,u,w),v5,v6)),v7) != v8 | L(x,y * (z * L(z,v5,v6)),v7) = v8. L(x,y * (z * L(z,u,w)),v5) = L(x,a(w,u,L(z,v6,v7)) * y,v5). L(x,a(y,z,L(u,w,v5)) * v6,v7) = L(x,v6 * (u * L(u,z,y)),v7). L(x,y * L(L(z,u,w) \ z,v5,v6),v7) != v8 | L(x,a(w,u,z) * y,v7) = v8. L(x,a(y,z,L(u,w,v5)) * v6,v7) != v8 | L(x,a(y,z,u) * v6,v7) = v8. L(x,a(y,z,z \ (u \ (K(w,v5) * z))) * v6,v7) = L(x,v6 * (u * L(u,z,y)),v7). L(x,a(y,z,z \ ((u \ 1) \ z)) * u,w) = L(x,L(u,z,y),w). L(x,a(y,z,z \ (u \ z)) * u,w) = L(x,L(u,z,y),w). L(x,a(y,z,u) * w,v5) = L(x,L(L(u,z,y) \ u,v6,v7) * w,v5). L(x,L(L(y,z,u) \ y,w,v5) * v6,v7) = L(x,a(u,z,y) * v6,v7). L(x,L(L(y,z,u) \ y,w,v5) * v6,v7) != v8 | L(x,a(u,z,y) * v6,v7) = v8. L(x,a(y,z,z \ (u \ z)) * w,v5) = L(x,w * (u * L(u,z,y)),v5). x != L(y,z * (u * L(u,w,v5)),v6) | L(y,a(v5,w,u) * z,v6) = x. L(x,a(y,z,u) * w,v5) = L(x,a(y,z,z \ (u \ z)) * w,v5). L(x,a(y,z,z \ (u \ z)) * w,v5) = L(x,a(y,z,u) * w,v5). L(x,a(y,z,z \ (u \ z)) * u,w) != v5 | L(x,L(u,z,y),w) = v5. L(x,L(y,z,u),w) = L(x,a(u,z,y) * y,w). L(x,a(y,z,u) * u,w) = L(x,L(u,z,y),w). L(x,a(y,z,u) * L(u,w,v5),v6) = L(x,L(L(u,w,v5),z,y),v6). L(x,y * a(z,u,y),w) = L(x,L(y,u,z),w). L(x,y,z) = L(x,L(L(y,u,w),u,w),z). L(x,L(L(y,z,u),z,u),w) = L(x,y,w). L(L(L(x \ R(x,y,z),u,w),u,w),L(L(x,u,w),u,w),z * y) != v5 | a(x,y,z) = v5. a(x,y,z) = L(L(L(x \ R(x,y,z),u,w),u,w),x,z * y). L(L(L(x \ R(x,y,z),u,w),u,w),x,z * y) = a(x,y,z). L(x,L(T((y * z) / y,u * y),y,u),w) = L(x,(u \ (z * (u * y))) / y,w). L(L(L(x \ R(x,y,z),u,w),v5,v6),x,z * y) != v7 | L(L(a(x,y,z),u,w),v5,v6) = v7. L(L(a(x,y,z),u,w),u,w) = a(x,y,z). L(a(x,y,z) \ 1,u,w) \ 1 = L(a(x,y,z),u,w). a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z),w,u). x \ R(x,y,z) = L(a(x,y,z),x,y * z). L(a(x,y,z),x,y * z) = x \ R(x,y,z). a(x,y,z) != L(u,w,v5) | L(a(x,y,z),w,v5) = u. L(x,y,z) != a(u,w,v5) | L(a(u,w,v5),y,z) = x. L(L(x,y,z) \ x,x,z * y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,z,x * y). L(x,y,(z \ R(z,u,w)) * v5) = L(x,y,a(z,u,w) * v5). (x * (y * z)) \ ((x * y) * (L(z,y,x) * (L(L(z,y,x),y,x) \ L(z,y,x)))) = a(x,y,L(z,y,x)). (L(x,y,z) \ x) * (a(z,y,x) \ L(x,y,z)) = L(x / L(x,y,z),x,z * y) \ x. L(x,y,z) * a(z,y,x) = a(a(z,y,x),x,z * y) * x. a(a(x,y,z),z,x * y) * z = L(z,y,x) * a(x,y,z). a(x,y,a(z,u,w)) * a(z,u,w) = L(a(z,u,w),y,x). L(a(x,y,z),u,w) \ v5 = L(a(x,y,z) \ 1,u,w) * v5. L(a(x,y,z) \ 1,u,w) * v5 = L(a(x,y,z),u,w) \ v5. a(x,a(x,y,z),z * y) * x = L(x,y,z) * a(z,y,x). a(a(x,y,z),u,w) * (z * v5) = L(a(x,y,z),u,w) \ (z * (v5 * a(x,y,z))). L(a(x,y,z),u,w) \ (z * (v5 * a(x,y,z))) = a(a(x,y,z),u,w) * (z * v5). L(a(x,y,z) \ 1,u,w) = L(a(x,y,z),u,w) \ 1. x != L(a(y,z,u),w,v5) \ 1 | L(a(y,z,u) \ 1,w,v5) = x. L(a(x,y,z) \ 1,u,w) = a(x,y,z) \ a(w,u,a(x,y,z)). a(x,y,z) \ a(u,w,a(x,y,z)) = L(a(x,y,z) \ 1,w,u). L(a(x,y,z) \ 1,u,w) != v5 \ 1 | L(a(x,y,z),u,w) = v5. L(a(x,y,z) \ 1,u,w) * v5 != v6 | L(a(x,y,z),u,w) \ v5 = v6. L(x,y,z) * a(z,y,x) != u | L(x,a(x,y,z),z * y) = u. L(a(x,y,z) \ 1,u,w) * (a(v5,v6,a(v7,v8,v9)) * a(x,y,z)) = a(v5,v6,a(v7,v8,v9)) * a(w,u,a(x,y,z)). L(x,L((y * z) / y,y,u),w) = L(x,(u \ (z * (u * y))) / y,w). L(x,L(y / z,u,w),v5) != v6 | L(x,L(z \ y,u,w),v5) = v6. L(x,L(y \ (y * z),y,u),w) = L(x,(u \ (z * (u * y))) / y,w). L(x,L(y,z,u),w) = L(x,(u \ (y * (u * z))) / z,w). L(x,(y \ (z * (y * u))) / u,w) = L(x,L(z,u,y),w). L(x,y \ (z \ (u * (z * y))),w) = L(x,L(u,y,z),w). x * (y * a(z,u,a(w,v5,x))) = a(a(w,v5,x),u,z) * (x * y). a(a(x,y,z),u,w) * (z * v5) = z * (v5 * a(w,u,a(x,y,z))). x * y != a(a(z,u,w),v5,v6) * (x * a(v6,v5,a(z,u,w))) | 1 = y. 1 = a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)). a(x,y,a(z,u,w)) * a(x,y,a(z,u,w)) = 1. a(x,y,z) \ 1 = (L(z,y,x) \ z) \ a(x * y,z,a(x,y,z)). (L(x,y,z) \ x) \ a(z * y,x,a(z,y,x)) = a(z,y,x) \ 1. a(x,y,z) \ 1 != (L(z,y,x) \ z) \ u | a(x * y,z,a(x,y,z)) = u. (L(x,y,z) \ x) \ u != a(z,y,x) \ 1 | a(z * y,x,a(z,y,x)) = u. L(x,y * L(y,z,u),w) = L(x,L(y * L(y,z,u),v5,v6),w). L(x,L(y * L(y,z,u),w,v5),v6) = L(x,y * L(y,z,u),v6). x != L(y,z * L(z,u,w),v5) | L(y,a(w,u,z),v5) = x. L(x,a(y,z,u),w) = L(x,L(u * L(u,z,y),v5,v6),w). L(x,L(y * L(y,z,u),w,v5),v6) = L(x,a(u,z,y),v6). L(x,L(y * L(y,z,u),L(y,z,u),w),v5) != v6 | L(x,(w * L(y,z,u)) \ (w * y),v5) = v6. L(x,(y * L(z,u,w)) \ (y * z),v5) = L(x,a(w,u,z),v5). L(x,L(y * L(y,z,u),w,v5),v6) != v7 | L(x,a(u,z,L(y,w,v5)),v6) = v7. L(x,a(y,z,L(u,w,v5)),v6) = L(x,a(y,z,u),v6). L(x,L(y * L(y,z,u),y,w),v5) != v6 | L(x,(y * w) \ (L(y,z,u) * w),v5) = v6. L(x,(y * z) \ (L(y,u,w) * z),v5) = L(x,a(w,u,y),v5). L(x,a(y,z,u),w) != v5 | L(x,u * L(u,z,y),w) = v5. L(x,a(y,z,L(z \ (u \ z),z,y)),w) != v5 | R(x,u * L(u,z,y),w) = v5. R(x,y * L(y,z,u),w) = L(x,a(u,z,z \ (y \ z)),w). L(L(x \ L(x,a(y,z,x),u),w,v5) \ 1,L(L(x,w,v5),a(y,z,L(x,w,v5)),u),u * a(y,z,L(x,w,v5))) = a(u,L(x,w,v5),a(y,z,L(x,w,v5))). L(x,x,y) != z | a(y,x,x) \ x = z. a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) \ ((y * L(z,u,w)) \ (y * z)) = L((y * L(z,u,w)) \ (y * z),a(w,u,z),x). L(x,(y * z) \ (L(y,u,w) * z),v5) != v6 | L(x,a(w,u,z \ (y \ z)),v5) = v6. L(x,a(y,z,u \ (w \ u)),v5) = L(x,a(y,z,w),v5). x != L(y,a(z,u,w \ (v5 \ w)),v6) | L(y,a(z,u,v5),v6) = x. L(x,a(y,z,u),w) = R(x,u * L(u,z,y),w). R(x,y * L(y,z,u),w) = L(x,a(u,z,y),w). x != L(y,a(z,u,w),v5) | L(y,w * L(w,u,z),v5) = x. L(x,y * L(y,z,u),w) = R(x,y * L(y,z,u),w). R(x,y * L(y,z,u),w) = L(x,y * L(y,z,u),w). R(x,y * L(y,z,u),w) != v5 | L(x,y * L(y,z,u),w) = v5. R(x,y * L(y,z,u),y * L(y,z,u)) != w | ((L(y,z,u) \ y) * x) * (y \ L(y,z,u)) = w. ((L(x,y,z) \ x) * u) * (x \ L(x,y,z)) = L(u,x * L(x,y,z),x * L(x,y,z)). (L(x,y,z) \ x) * (a(z,y,x) \ u) != w | u * a(x,a(x,y,z),z * y) = w. L(x,y,z) * a(x,a(x,y,z),z * y) = L(x / L(x,y,z),x,z * y) \ x. L(x / L(x,y,z),x,z * y) \ x = L(x,y,z) * a(x,a(x,y,z),z * y). x != L(y,z,u) * a(w,a(v5,v6,v7),v8) | L(y * a(w,a(v5,v6,v7),v8),z,u) = x. L(x * a(x,a(x,y,z),z * y),y,z) = L(x / L(x,y,z),x,z * y) \ x. L(L(x,a(x,y,z),z * y),y,z) = L(x / L(x,y,z),x,z * y) \ x. L(L(x,a(x,y,z),z * y),y,z) = L(L(x,y,z) \ x,x,z * y) \ x. L(L(x,a(x,y,z),z * y),y,z) = a(z,y,x) \ x. (x \ (y \ ((y * (L(z,u,w) \ z)) * T(x,L(z,u,w) \ z)))) * (z \ L(z,u,w)) = L(a(y,L(z,u,w) \ z,x),z * L(z,u,w),z * L(z,u,w)). L((x * L(x,y,z)) \ u,x * L(x,y,z),L(x,y,z) \ 1) = x \ ((L(x,y,z) \ 1) * u). L((x * L(x,y,z)) \ u,x * L(x,y,z),L(x,y,z)) = x \ ((L(x,y,z) \ 1) * u). L(x,y * L(y,z,u),w) != v5 | L(x,a(u,z,y),w) = v5. L((x * L(x,y,z)) \ u,a(z,y,x),L(x,y,z)) = x \ ((L(x,y,z) \ 1) * u). R(x,y \ L(y,z,u),w) != v5 | R(x,y * L(y,z,u),w) = v5. R(T((x \ L(x,y,z)) \ u,w),x * L(x,y,z),x * L(x,y,z)) = T((u * (L(x,y,z) \ x)) / 1,w). L(T((x \ L(x,y,z)) \ u,w),x * L(x,y,z),x * L(x,y,z)) = T((u * (L(x,y,z) \ x)) / 1,w). L(T((x \ L(x,y,z)) \ u,w),x * L(x,y,z),x * L(x,y,z)) = T(u * (L(x,y,z) \ x),w). L(T((x \ L(x,y,z)) \ u,w),x * L(x,y,z),x * L(x,y,z)) != v5 | (L(x,y,z) \ x) * (L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w))) = v5. (L(x,y,z) \ x) * (L(x,y,z) * (x \ T(x * (L(x,y,z) \ u),w))) = T(u * (L(x,y,z) \ x),w). (L(x,y,z) \ x) * T(u,w) = T(u * (L(x,y,z) \ x),w). T(x * (L(y,z,u) \ y),w) = (L(y,z,u) \ y) * T(x,w). x != (L(y,z,u) \ y) * w | w * (L(y,z,u) \ y) = x. T(x,y) * (L(z,u,w) \ z) = T(x * (L(z,u,w) \ z),y). T(x * (L(y,z,u) \ y),w) = T(x,w) * (L(y,z,u) \ y). L(a(x,y,z) \ 1,u,w) * L(a(x,y,z),v5,v6) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). (x * L(x,y,z)) * (L(x / (1 / L(x,y,z)),u,w) \ v5) = ((1 / x) \ L(x,y,z)) * (L((1 / L(x,y,z)) \ x,u,w) \ v5). ((1 / x) \ L(x,y,z)) * (L((1 / L(x,y,z)) \ x,u,w) \ v5) = (x * L(x,y,z)) * (L(x / (1 / L(x,y,z)),u,w) \ v5). ((1 / x) \ L(x,y,z)) * (L((1 / L(x,y,z)) \ x,u,w) \ v5) = (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5). ((1 / x) \ L(x,y,z)) * (L((1 / x) \ L(x,y,z),u,w) \ v5) = (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5). ((1 / x) \ y) * (L((1 / x) \ y,z,u) \ w) != v5 | (x \ y) * (L(x \ y,z,u) \ w) = v5. (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) = (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5). (x \ L(x,y,z)) * (L(x \ L(x,y,z),u,w) \ v5) != v6 | (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = v6. (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = (x * L(x,y,z)) * (L(x * L(x,y,z),u,w) \ v5). x != (y * L(y,z,u)) * (L(y * L(y,z,u),w,v5) \ v6) | v6 * a(v5,w,y * L(y,z,u)) = x. x * a(y,z,u * L(u,w,v5)) = (L(u,w,v5) \ u) * (L(L(u,w,v5) \ u,z,y) \ x). (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = v5 * a(w,u,x * L(x,y,z)). (L(x,y,z) \ x) * (L(L(x,y,z) \ x,u,w) \ v5) = v5 * a(w,u,a(z,y,x)). (x * a(y,z,a(u,w,v5))) \ ((L(v5,w,u) \ v5) * x) = L(T(L(v5,w,u) \ v5,x),z,y). (x \ ((L(y,z,u) \ y) * x)) * a(a(u,z,y),w,v5) = L(T(L(y,z,u) \ y,x),w,v5). T(L(x,y,z) \ x,u) * a(a(z,y,x),w,v5) = L(T(L(x,y,z) \ x,u),w,v5). (L(x,y,z) \ x) * a(a(z,y,x),u,w) = L(T(L(x,y,z) \ x,v5),u,w). L(T(L(x,y,z) \ x,u),w,v5) = (L(x,y,z) \ x) * a(a(z,y,x),w,v5). L(T(L(x,y,z) \ x,u),x,w) = (L(x,y,z) \ x) * a(x,a(x,y,z),w). x != (y \ z) * a(z,a(u,w,v5),v6) | y \ L(z,a(u,w,v5),v6) = x. L(x,y,z) \ L(x,a(x,y,z),u) = L(T(L(x,y,z) \ x,w),x,u). L(T(L(x,y,z) \ x,u),x,w) = L(x,y,z) \ L(x,a(x,y,z),w). L(L(x,y,z) \ x,x,u) = L(x,y,z) \ L(x,a(x,y,z),u). L(x,y,z) \ L(x,a(x,y,z),u) = L(L(x,y,z) \ x,x,u). x \ y != L(y,z,u) | L(y,z,u) \ y = x. L((x * L(y,z,u)) \ (x * y),a(u,z,y),w) \ ((x * L(y,z,u)) \ (x * y)) = a(w,(x * L(y,z,u)) \ (x * y),(x * L(y,z,u)) \ (x * y)). a(x,a(y,z,u),(w * L(u,z,y)) \ (w * u)) = a(x,(w * L(u,z,y)) \ (w * u),(w * L(u,z,y)) \ (w * u)). a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) = a(x,a(w,u,z),(y * L(z,u,w)) \ (y * z)). x != a(y,a(z,u,w),v5 \ v6) | a(y,a(z,u,w),v6 * v5) = x. a(x,a(y,z,u),(w * u) * (w * L(u,z,y))) = a(x,(w * L(u,z,y)) \ (w * u),(w * L(u,z,y)) \ (w * u)). a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) = a(x,a(w,u,z),(y * z) * (y * L(z,u,w))). x != a(y,a(z,u,w),(v5 * v6) * v7) | a(y,a(z,u,w),v6 * (v5 \ v7)) = x. a(x,a(y,z,u),u * (w \ (w * L(u,z,y)))) = a(x,(w * L(u,z,y)) \ (w * u),(w * L(u,z,y)) \ (w * u)). a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) = a(x,a(w,u,z),z * (y \ (y * L(z,u,w)))). a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) = a(x,a(w,u,z),z * L(z,u,w)). x != a(y,a(z,u,w),v5 * L(v5,v6,v7)) | 1 = x. 1 = a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)). a(x,(y * L(z,u,w)) \ (y * z),(y * L(z,u,w)) \ (y * z)) = 1. 1 \ ((x * L(y,z,u)) \ (x * y)) = L((x * L(y,z,u)) \ (x * y),a(u,z,y),w). L((x * L(y,z,u)) \ (x * y),a(u,z,y),w) = 1 \ ((x * L(y,z,u)) \ (x * y)). x != 1 \ y | y = x. (x * L(y,z,u)) \ (x * y) = L((x * L(y,z,u)) \ (x * y),a(u,z,y),w). L((x * L(y,z,u)) \ (x * y),a(u,z,y),w) = (x * L(y,z,u)) \ (x * y). x \ ((x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6)) = (x \ (x * L(y,z,u))) * R((x \ (x * L(y,z,u))) \ y,v5,v6). ((x \ (y * L(x,z,u))) * R((x \ (y * L(x,z,u))) \ y,w,v5)) * x = (y * L(x,z,u)) * R(L((y * L(x,z,u)) \ (y * x),a(u,z,x),v6),w,v5). L(L(a(x,a(y,z,x),u),w,v5) \ 1,L(L(x,w,v5),a(y,z,L(x,w,v5)),u),u * a(y,z,L(x,w,v5))) = a(u,L(x,w,v5),a(y,z,L(x,w,v5))). L(a(x,a(y,z,x),u) \ 1,L(L(x,w,v5),a(y,z,L(x,w,v5)),u),u * a(y,z,L(x,w,v5))) = a(u,L(x,w,v5),a(y,z,L(x,w,v5))). L(1 * a(x,a(y,z,u),u),L(L(u,w,v5),a(y,z,L(u,w,v5)),x),x * a(y,z,L(u,w,v5))) = a(x,L(u,w,v5),a(y,z,L(u,w,v5))). L(1 * a(x,y,a(z,u,y)),L(L(y,w,v5),a(z,u,L(y,w,v5)),x),x * a(z,u,L(y,w,v5))) = a(x,L(y,w,v5),a(z,u,L(y,w,v5))). L(a(x,y,a(z,u,y)),L(L(y,w,v5),a(z,u,L(y,w,v5)),x),x * a(z,u,L(y,w,v5))) = a(x,L(y,w,v5),a(z,u,L(y,w,v5))). a(x,L(y,z,u),a(w,v5,L(y,z,u))) = a(x,y,a(w,v5,y)). a(x,y,a(z,u,L(w,v5,v6))) != v7 | a(x,y,a(z,u,w)) = v7. a(x,L(y,z,u),a(w,v5,y)) = a(x,y,a(w,v5,y)). (x \ (y \ ((y * (L(z,u,w) \ z)) * x))) * (z \ L(z,u,w)) = L(a(y,L(z,u,w) \ z,x),z * L(z,u,w),z * L(z,u,w)). L(a(x,L(y,z,u) \ y,w),y * L(y,z,u),y * L(y,z,u)) = (w \ (x \ ((x * (L(y,z,u) \ y)) * w))) * (y \ L(y,z,u)). L(a(x,y * L(y,z,u),w),y * L(y,z,u),y * L(y,z,u)) = (w \ (x \ ((x * (L(y,z,u) \ y)) * w))) * (y \ L(y,z,u)). L(a(x,y,z),u * L(u,w,v5),v6) != v7 | a(x,y,z) = v7. a(x,y * L(y,z,u),w) = (w \ (x \ ((x * (L(y,z,u) \ y)) * w))) * (y \ L(y,z,u)). (x \ (y \ ((y * (L(z,u,w) \ z)) * x))) * (z \ L(z,u,w)) = a(y,z * L(z,u,w),x). x != a(y,z * L(z,u,w),v5) | a(y,a(w,u,z),v5) = x. a(x,a(y,z,u),w) = (w \ (x \ ((x * (L(u,z,y) \ u)) * w))) * (u \ L(u,z,y)). (x \ (y \ ((y * (L(z,u,w) \ z)) * x))) * (z \ L(z,u,w)) = a(y,a(w,u,z),x). (x \ ((L(x,y,z) * R(L(x,y,z) \ x,u,w)) * v5)) * x = (v5 * L(x,y,z)) * R(L((v5 * L(x,y,z)) \ (v5 * x),a(z,y,x),v6),u,w). (x \ ((L(x,y,z) * L(L(x,y,z) \ x,u,w)) * v5)) * x = (v5 * L(x,y,z)) * R(L((v5 * L(x,y,z)) \ (v5 * x),a(z,y,x),v6),u,w). (x \ ((a(a(y,z,x),u,w) * x) * v5)) * x = (v5 * L(x,z,y)) * R(L((v5 * L(x,z,y)) \ (v5 * x),a(y,z,x),v6),u,w). (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = (y \ ((a(a(u,z,y),v5,v6) * y) * x)) * y. (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = (y \ (a(a(u,z,y),v5,v6) * (y * x))) * y. (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = (y \ (y * (x * a(v6,v5,a(u,z,y))))) * y. (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = (x * a(v6,v5,a(u,z,y))) * y. x * (a(y,z,a(u,w,v5)) * v5) = (x * L(v5,w,u)) * R(L((x * L(v5,w,u)) \ (x * v5),a(u,w,v5),v6),z,y). (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = x * (a(v6,v5,a(u,z,y)) * y). (x * L(y,z,u)) * R(L((x * L(y,z,u)) \ (x * y),a(u,z,y),w),v5,v6) = x * (y * a(u,z,a(v6,v5,y))). x \ (x * (y * a(z,u,a(w,v5,y)))) = (x \ (x * L(y,u,z))) * R((x \ (x * L(y,u,z))) \ y,v5,w). (x \ (x * L(y,z,u))) * R((x \ (x * L(y,z,u))) \ y,w,v5) = x \ (x * (y * a(u,z,a(v5,w,y)))). x * (a(a(y,z,u),w,v5) * u) = x * (u * a(y,z,a(v5,w,u))). x * a(y,z,a(u,w,x)) = a(a(y,z,x),w,u) * x. a(a(x,y,z),u,w) * z = z * a(x,y,a(w,u,z)). x * (y * z) != y * (z * a(u,w,a(v5,v6,v7))) | a(u,w,a(v5,v6,v7)) = x. a(x,y,a(z,u,w)) = a(a(x,y,w),u,z). a(a(x,y,z),u,w) = a(x,y,a(w,u,z)). x != a(y,z,a(u,w,v5)) | a(u,w,a(v5,z,y)) = x. a(x,y,a(z,u,w)) = a(a(w,u,z),y,x). a(a(x,y,z),u,w) = a(w,u,a(z,y,x)). a(x,y,a(z,u,w)) \ v5 = v5 * a(z,u,a(x,y,w)). (x * a(y,z,a(u,w,v5))) \ v6 = (x \ v6) * a(u,w,a(y,z,v5)). x * (L(x,y,a(z,u,w)) \ v5) = v5 * a(z,u,a(x,y,w)). L(x,y,L(z \ a(a(u,w,v5),v6,v7),v8,v9)) = L(x,y,L(z,v8,v9)). x * a(a(y,z,u),w,x) = L(x,w,a(y,z,u)). L(x * a(y,z,a(u,w,x)),z,y) = x * L(x \ L(x,z,y),w,u). L(x \ a(y,z,a(u,w,x)),z,y) = x \ L(x \ L(x,z,y),w,u). L(1 / x,y,a(z,u,w)) \ 1 = L(x,y,a(z,u,w)). a(a(x,y,z),u,w) * w = L(w,u,a(x,y,z)). L(x,y,a(z,u,w)) \ v5 = (x \ v5) * a(x,y,a(z,u,w)). (x \ y) * a(x,z,a(u,w,v5)) = L(x,z,a(u,w,v5)) \ y. x * a(y,a(y,z,u),x) = L(x,y,a(y,z,u)). x \ y != L(z,u,a(w,v5,v6)) | x * (a(a(w,v5,v6),u,z) * z) = y. a(x,y,z) * (a(a(x,y,z),u,1 / u) * (1 / u)) = a(x,y,z) / u. a(a(x,y,z),u,w) * z != v5 | L(z,y,x) * L(L(z,y,x) \ z,u,w) = v5. L(x,y,z) * L(L(x,y,z) \ x,u,w) = x * a(z,y,a(w,u,x)). L(x * a(y,z,a(u,x,w)),u,a(y,z,w)) = L(x,a(y,z,w),u). 1 / L(x,y,a(z,u,w)) = L(1 / x,y,a(z,u,w)). L(1 / x,y,a(z,u,w)) = 1 / L(x,y,a(z,u,w)). L(x,y,a(z,u,w)) \ 1 = L(x \ 1,y,a(z,u,w)). L(x \ 1,y,a(z,u,w)) = L(x,y,a(z,u,w)) \ 1. L(1 / L(x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) = 1 / L(x,y,a(v5,v6,v7) * a(z,u,w)). x * L(L(x \ 1,y,a(z,u,w)),v5,v6) = L(x,y,a(z,u,w)) \ L(x,v5,v6). x * R(L(x \ 1,y,a(z,u,w)),v5,v6) = L(x,y,a(z,u,w)) \ R(x,v5,v6). a(x,y,a(z,u,w)) * (x \ v5) = L(x,y,a(z,u,w)) \ v5. L(x,y,a(z,u,w)) \ v5 != v6 | a(z,u,a(w,y,x)) * (x \ v5) = v6. a(x,y,a(z,u,w)) * (x \ v5) != v6 | v5 * L(v5 \ (x \ v5),y,a(z,u,w)) = v6. x * L(x \ (y \ x),z,a(u,w,v5)) = L(y,z,a(u,w,v5)) \ x. (x * a(y,z,a(u,x,w))) * L((x * a(y,z,a(u,x,w))) \ 1,u,a(y,z,w)) = (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u). ((x * a(y,z,a(u,x,w))) \ v5) \ (v5 * L(v5 \ ((x * a(y,z,a(u,x,w))) \ v5),u,a(y,z,w))) = (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u). (x \ y) * L((x \ y) \ (x \ (L(x,z,u) \ y)),w,a(v5,v6,v7)) = L(L(x,z,u),w,a(v5,v6,v7)) \ (x \ y). L(L(x,y,a(z,u,w)),y,w) = x * L(x \ L(x,y,w),u,z). x * y != z * L(z \ L(z,u,w),v5,v6) | x \ L(L(z,u,a(v6,v5,w)),u,w) = y. x \ L(L(x,y,a(z,u,w)),y,w) = L(x \ L(x,y,w),u,z). L(x \ L(x,y,z),u,w) != x \ v5 | L(L(x,y,a(w,u,z)),y,z) = v5. L((L(x \ L(x,y,z),u,w) \ x) \ 1,L(x \ L(x,y,z),u,w) \ x,L(x \ a(z,y,a(w,u,x)),y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). x * y != z * a(u,w,a(v5,v6,z)) | x \ L(z,w,a(v5,v6,u)) = y. L(x,y,z) \ L(x,y,a(u,w,z)) = L(L(x,y,z) \ x,w,u). x * y != z * a(u,w,a(v5,v6,v5)) | x \ z = y. L(x,y,z) \ x = L(L(x,y,z) \ x,u,x). L(L(x,y,z) \ x,u,x) = L(x,y,z) \ x. a(x,y,a(z,u,w)) * (L(w,u,z) \ w) = L(L(w,u,z) \ w,y,x). L(x,y,z) \ u != L(L(x,y,z) \ x,x,w) | L(x,a(x,y,z),w) = u. L(x,a(x,y,z),u) = L(x,y,a(u,x,z)). L(x,y,z) \ x = L(L(x,y,z) \ x,a(u,w,v5),v6). L(L(x,y,z) \ x,a(u,w,v5),v6) = L(x,y,z) \ x. x != L(y,z,a(u,w,v5)) | y * a(v5,z,a(u,w,y)) = x. x * a(y,z,a(u,x,x)) = L(x,a(x,z,y),u). (L(x,y,z) \ x) * (a(L(x,y,z) \ x,u,w) * v5) = ((1 / (L(x,y,z) \ x)) \ a(L(x,y,z) \ x,u,w)) * v5. ((1 / (L(x,y,z) \ x)) \ a(L(x,y,z) \ x,u,w)) * v5 = (L(x,y,z) \ x) * (a(L(x,y,z) \ x,u,w) * v5). a(x,y,a(z,u,w)) * (L(w,u,z) \ w) != v5 | L(w \ L(w,u,z),y,x) \ 1 = v5. L(x \ L(x,y,z),u,w) \ 1 = L(L(x,y,z) \ x,u,w). L(L(x,y,z),u,w) \ L(x,y,z) = L(L(x,u,w) \ x,y,z). L(x \ L(x,y,z),u,w) \ 1 != v5 | x * (L(x,y,z) \ a(w,u,a(z,y,x))) = v5. x * (L(x,y,z) \ a(u,w,a(z,y,x))) = L(L(x,y,z) \ x,w,u). L(x \ L(x,y,z),u,L(w,v5,v6)) \ 1 != v7 | L(x \ L(x,y,z),u,w) \ 1 = v7. L(x \ L(x,y,z),u,w) \ 1 = L(L(x,y,z) \ x,u,L(w,v5,v6)). L(L(x,y,z) \ x,u,L(w,v5,v6)) = L(x \ L(x,y,z),u,w) \ 1. L(x,y \ L(L(z,u,w) \ z,v5,v6),v7) = L(x,y \ L(z \ L(z,u,w),v5,v6),v7). x * L(L(y,z,u) \ y,w,v5) = L(y \ L(y,z,u),w,v5) \ x. L(x \ L(x,y,z),u,w) \ v5 = v5 * L(L(x,y,z) \ x,u,w). x * (y * (L(L(y,z,u) \ y,w,v5) / y)) = L(y * L(1 / y,z,u),w,v5) \ x. a(x,y,L(z,u,w)) = L(L(L(z,y,x) \ z,u,w),L(z,u,w),x * y). L(L(L(x,y,z) \ x,u,w),L(x,u,w),z * y) = a(z,y,L(x,u,w)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * L(L(z,y,x) \ z,y,x))) = a(x,y,L(z,y,x)). L(x \ L(x,y,z),u,w) \ 1 != v5 | v5 = L(L(x,y,z) \ x,u,w). L(x \ L(x,y,z),u,w) \ 1 != v5 | L(L(x,y,z) \ x,u,w) = v5. (x \ (y * L(y \ x,z,u))) \ w = w * L(L(y \ x,z,u) \ (y \ x),y \ x,y). x * L(L(y \ z,u,w) \ (y \ z),y \ z,y) = (z \ (y * L(y \ z,u,w))) \ x. T(x * L(L(y,z,u) \ y,w,v5),x \ L(y \ L(y,z,u),w,v5)) \ 1 = 1 / (L(y \ L(y,z,u),w,v5) \ x). L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),x \ L(x \ L(x,y,z),w,u),x * L(L(x,y,z) \ x,w,u)) = 1 / (x \ L(x \ L(x,y,z),w,u)). T(x * L(L(x,y,z) \ x,u,w),x \ 1) = L(x * L(1 / x,y,z),u,w) \ x. x != L(y \ L(y,z,u),w,v5) \ 1 | L(L(y,z,u) \ y,w,v5) = x. L(L(x,y,z) \ x,u,w) = L(L(x,y,z) \ x,u,L(w,v5,v6)). L(L(x,y,z) \ x,u,L(w,v5,v6)) = L(L(x,y,z) \ x,u,w). a(x,y,L(z,y,x)) != u | L(L(z,y,x) \ z,z,y) = u. a(x,y,z) * (a(a(x,y,z),u,u) * (1 / u)) = a(x,y,z) / u. L(a(x,y,z),u,u) * (1 / u) = a(x,y,z) / u. x \ L(L(x,y,a(z,u,w)),v5,v6) = L(x,y,a(z,u,w)) \ L(x,v5,v6). L(x,y,a(z,u,w)) \ L(x,v5,v6) = x \ L(L(x,y,a(z,u,w)),v5,v6). x != y \ L(L(y,z,a(u,w,v5)),z,v5) | L(y \ L(y,z,v5),w,u) = x. L(x \ L(x,y,z),u,w) = L(x,y,a(w,u,z)) \ L(x,y,z). L(x,y,a(z,u,w)) \ L(x,y,w) = L(x \ L(x,y,w),u,z). a(x,y,a(z,u,w)) * (w \ L(w,u,z)) = L(w \ L(w,u,z),y,x). a(x,y,z) \ L(z \ L(z,y,x),z,x * y) = L(z,y,x) * L(z \ 1,y,x). x * L(R(x \ 1,y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)) \ R(x,y,z). x * L(R(x \ 1,y,z),u,w) != v5 | x \ L(R(x,y,z),u,w) = v5. x \ L(R(x,y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)) \ R(x,y,z). L(x,y,a(z,u,w)) \ R(x,v5,v6) = x \ L(R(x,v5,v6),y,a(z,u,w)). a(x,y,z) \ (a(x,y,z) \ 1) = L(z,y,x) * L(z \ 1,y,x). x != L(y,z \ L(u \ L(u,w,v5),v6,v7),v8) | L(y,z \ L(u * L(u,w,v5),v6,v7),v8) = x. L(x,y \ L(z * L(z,u,w),v5,v6),v7) = L(x,y \ L(L(z,u,w) \ z,v5,v6),v7). L(x,y \ L(L(z,u,w) \ z,v5,v6),v7) = L(x,y \ L(z * L(z,u,w),v5,v6),v7). x * L(y * ((L(y,z,u) \ y) / y),w,v5) = L(y * L(1 / y,z,u),w,v5) \ x. x * L(y * (1 / L(y,z,u)),w,v5) = L(y * L(1 / y,z,u),w,v5) \ x. L(x * L(1 / x,y,z),u,w) \ v5 = v5 * L(x * (1 / L(x,y,z)),u,w). L(x * L(1 / x,y,z),u,w) \ x != v5 | T(x * L(L(x,y,z) \ x,u,w),x \ 1) = v5. T(x * L(L(x,y,z) \ x,u,w),x \ 1) = x * L(x * (1 / L(x,y,z)),u,w). x != (y \ (z * L(z \ y,u,w))) \ v5 | v5 * (L(y \ z,u,w) \ (y \ z)) = x. x * (L(y \ z,u,w) \ (y \ z)) = x * L(L(z \ y,u,w) \ (z \ y),z \ y,z). x * L(L(y \ z,u,w) \ (y \ z),y \ z,y) = x * (L(z \ y,u,w) \ (z \ y)). (x * (y * z)) \ ((x * y) * (L(z,y,x) * (L(z,y,x) \ z))) = a(x,y,L(z,y,x)). (x * (y * z)) \ ((x * y) * z) = a(x,y,L(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). L(L(x,y,z) \ x,x,y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,z,y). a(x,y,L(y \ (z \ y),y,x)) != u | L(z,y,x) \ z = u. L(x,y,z) \ x = a(z,y,y \ (x \ y)). a(x,y,y \ (z \ y)) = L(z,y,x) \ z. (a(x,y,z) * y) \ (y * z) = L(z,y,x). L(x,y,z) = (a(z,y,x) * y) \ (y * x). (x * a(y,x,z)) \ (x * z) = L(z,x,y). L(x,y,z) = (y * a(z,y,x)) \ (y * x). a(x,y,z) * y = z * (L(z,y,x) \ y). x * (L(x,y,z) \ y) = a(z,y,x) * y. a(x,y,y \ (z \ y)) \ z = L(z,y,x). L(x,y,z) = a(z,y,y \ (x \ y)) \ x. x \ a(y,z,z \ (x \ z)) = L(x,z,y) \ 1. x \ L(a(y,z,z \ (x \ z)),u,w) = x \ L(L(x,z,y) \ x,u,w). L(x \ L(x,y,z),x,y) = a(z,y,x) \ 1. a(x,y,z) != L(u,z,y) | L(z,y,x) \ z = u. L(x,y,z) != a(u,z,y) | L(y,z,u) \ y = x. L(x,y,z) * a(z,y,x) = x * a(z,y,a(y,x,x)). a(x,y,y \ (z \ y)) \ z != u | L(z,y,x) = u. a(a(x,y,y \ (z \ y)) * ((u * w) * v5),v6,v7) = a(v5 * (u * (w * (L(z,y,x) \ z))),v6,v7). x \ ((x * a(y,z,u)) * (a(y,z,u) \ (w \ a(y,z,u)))) = a(y,z,u) * ((a(y,z,u) \ (w \ a(y,z,u))) * (L(w,a(y,z,u),x) \ w)). L(x \ R(x,y,z),L(x,u,w),v5) = (a(v5,L(x,u,w),x \ R(x,y,z)) * L(x,u,w)) \ ((x \ L(x,u,w)) * R(x,y,z)). (a(x,L(y,z,u),y \ R(y,w,v5)) * L(y,z,u)) \ ((y \ L(y,z,u)) * R(y,w,v5)) = L(y \ R(y,w,v5),L(y,z,u),x). L(x,a(y,z,u),L(w,v5,v6)) = (a(w,a(y,z,u),x) * a(y,z,u)) \ (a(y,z,u) * x). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = (L(x,u,w) * a(v5,L(x,u,w),L(x \ L(x,y,z),u,w))) \ L(L(x,u,w),y,z). (L(x,y,z) * a(u,L(x,y,z),L(x \ L(x,w,v5),y,z))) \ L(L(x,y,z),w,v5) = L(L(x \ L(x,w,v5),y,z),L(x,y,z),u). L(a(x,y,z),u,a(w,v5,v6) * (v7 \ v8)) = (u * a(a(w,v5,v6) * (v7 * v8),u,a(x,y,z))) \ (u * a(x,y,z)). (x * a(a(y,z,u) * (w * v5),x,a(v6,v7,v8))) \ (x * a(v6,v7,v8)) = L(a(v6,v7,v8),x,a(y,z,u) * (w \ v5)). L(x \ R(x,y,z),u,w) = (u * a(w,u,a(x,y,z))) \ (u * (x \ R(x,y,z))). (x * a(y,x,a(z,u,w))) \ (x * (z \ R(z,u,w))) = L(z \ R(z,u,w),x,y). L(x \ L(x,y,z),x,u) != w | (L(x,y,z) \ x) \ a(x,a(x,y,z),u) = w. (L(x,y,z) \ x) \ a(x,a(x,y,z),y) = a(z,y,x) \ 1. L(a(x,y,z) \ 1,u,w) = L(L(z \ L(z,y,x),u,w),z,y). L(L(x \ L(x,y,z),u,w),x,y) = L(a(z,y,x) \ 1,u,w). (a(x,y,z) \ (1 / a(x,y,z))) \ u = a(x,y,z) * (L(z \ L(z,y,x),z,y) \ u). a(x,y,z) * (L(z \ L(z,y,x),z,y) \ u) = (a(x,y,z) \ (1 / a(x,y,z))) \ u. L(L(x \ L(x,y,z),u,w),L(x,u,w),y) = a(z,y,L(x,u,w)) \ 1. L((x \ R(x,y,z)) \ a(x,y,z),x \ R(x,y,z),x) = a(z * y,x,x \ R(x,y,z)) \ 1. L(x,a(x,y,z),z * y) = x * a(z,y,a(y,x,x)). x != y * a(z,u,a(w,y,y)) | L(y,a(y,u,z),w) = x. L(x,a(x,y,z),y) = L(x,a(x,y,z),z * y). L(x,a(x,y,z),z * y) = L(x,a(x,y,z),y). L(L(x,a(x,y,z),y),y,z) = a(z,y,x) \ x. L(L(x,y,a(y,x,z)),y,z) = a(z,y,x) \ x. a(x * y,z,a(x,y,z)) = a(z,a(z,y,x),y). (x \ (x * (y \ R(y,z,u)))) * a(a(y,z,u),x,w) = L(y \ R(y,z,u),x,w). (x \ R(x,y,z)) * a(a(x,y,z),u,w) = L(x \ R(x,y,z),u,w). a(a(x,y,z),u,w) * (x \ R(x,y,z)) = L(x \ R(x,y,z),u,w). (x \ R(x,y,z)) * a(a(u,w,v5),v6,v7) != v8 | x * R(x \ a(a(u,w,v5),v6,v7),y,z) = v8. x * R(x \ a(a(x,y,z),u,w),y,z) = L(x \ R(x,y,z),u,w). a(a(x,y,z),u,w) * (z \ R(z,y,x)) = L(z \ R(z,y,x),u,w). x * L(R(x \ a(a(x,y,z),u,w),y,z),a(v5,v6,v7),R(x \ a(a(x,y,z),u,w),y,z)) = L(x \ R(x,y,z),u,w). x * R(x \ a(a(x,y,z),u,w),y,z) = L(x \ R(x,y,z),u,L(w,v5,v6)). L(x \ R(x,y,z),u,L(w,v5,v6)) = x * R(x \ a(a(x,y,z),u,w),y,z). x * (y \ R(y,z,u)) != L(y \ R(y,z,u),w,v5) | R(y,z,u) * (y \ L(R(y,z,u) \ y,w,v5)) = x. R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)) = a(a(z,y,x),u,w). R(x,y,z) * (x \ L(R(x,y,z) \ x,u,w)) != v5 | R(x,y,z) \ (x * L(x \ R(x,y,z),u,w)) = v5. R(x,y,z) \ (x * L(x \ R(x,y,z),u,w)) = a(a(z,y,x),u,w). x \ y != R(z,u,w) \ (z * L(z \ R(z,u,w),v5,v6)) | x * a(a(w,u,z),v5,v6) = y. (R(x,y,z) \ x) * a(a(z,y,x),u,w) = L(R(x,y,z) \ x,u,w). (R(x,y,z) \ x) * a(u,w,a(x,y,z)) = L(R(x,y,z) \ x,w,u). (R(x,y,z) \ x) * a(u,w,a(x,y,z)) != v5 | L(x \ R(x,y,z),w,u) \ 1 = v5. L(x \ R(x,y,z),u,w) \ 1 = L(R(x,y,z) \ x,u,w). L(R(x,y,z) \ x,u,w) != v5 \ 1 | L(x \ R(x,y,z),u,w) = v5. a(x,y,z) \ 1 = L(R(x,y,z) \ x,x,y * z). L(R(x,y,z) \ x,x,y * z) = a(x,y,z) \ 1. x * R(x \ a(a(x,y,z),u,w),y,z) != v5 | L(x \ R(x,y,z),u,w) = v5. L(x \ R(x,y,z),u,L(w,v5,v6)) != v7 | L(x \ R(x,y,z),u,w) = v7. x != (a(y,z,u) * z) \ (z * u) | L(u,z,y) = x. L(x,a(y,z,u),w) = L(x,a(y,z,u),L(w,v5,v6)). L(x,a(y,z,u),L(w,v5,v6)) = L(x,a(y,z,u),w). L(x,a(y,z,u),L(u,w,v5)) != v6 | (a(y,z,u) * (x * L(u,w,v5))) / (a(y,z,u) * L(u,w,v5)) = v6. (a(x,y,z) * (u * L(z,w,v5))) / (a(x,y,z) * L(z,w,v5)) = L(u,a(x,y,z),z). L((x * L(x,y,z)) \ u,a(z,y,x),L(x,y,z)) != w | x \ ((L(x,y,z) \ 1) * u) = w. x \ ((L(x,y,z) \ 1) * u) = L((x * L(x,y,z)) \ u,a(z,y,x),x). L((x * L(x,y,z)) \ u,a(z,y,x),x) = x \ ((L(x,y,z) \ 1) * u). L((x * L(x,y,z)) \ u,x,a(x,y,z)) = x \ ((L(x,y,z) \ 1) * u). x \ y != L((z * L(z,u,w)) \ v5,z,a(z,u,w)) | x * ((1 / z) * (L(z,u,w) \ v5)) = y. x * ((1 / x) * (L(x,y,z) \ u)) = (L(x,y,z) \ 1) * u. x * ((1 / x) * y) != z | (x \ 1) * (x * y) = z. (x \ 1) * (x * (L(x,y,z) \ u)) = (L(x,y,z) \ 1) * u. x * ((1 / x) * (L(x,y,z) \ u)) != w | L(x,y,z) \ L(u,x,x) = w. L(x,y,z) \ L(u,x,x) = (L(x,y,z) \ 1) * u. L(x,L(y,z,u),L(y,z,u)) = L(x,y,y). L(x * y,a(z,u,w),a(z,u,w)) / (x * (y * a(z,u,w))) = 1 / L(a(z,u,w),y,x). (x \ 1) * (L(x,y,z) \ u) = (L(x,y,z) \ 1) * (x \ u). (L(x,y,z) \ 1) * (x \ u) = (x \ 1) * (L(x,y,z) \ u). (x \ 1) * (x * (L(x,y,z) \ u)) = ((x \ 1) * (L(x,y,z) \ x)) * u. ((x \ 1) * (L(x,y,z) \ x)) * u = (x \ 1) * (x * (L(x,y,z) \ u)). L(x,y,((z \ 1) \ 1) * (L(z \ 1,u,w) \ v5)) = L(x,y,(L(z \ 1,u,w) \ 1) * (z \ v5)). ((x \ 1) * (x \ (L(1 / x,y,z) \ 1))) * u = (x \ 1) * (x * (L(x,y,z) \ u)). x != L(y,a(z,u,w),w) | L(y,w,a(w,u,z)) = x. L(x,y,a(y,z,u)) = (a(u,z,y) * (x * L(y,w,v5))) / (a(u,z,y) * L(y,w,v5)). (a(x,y,z) * (u * L(z,w,v5))) / (a(x,y,z) * L(z,w,v5)) = L(u,z,a(z,y,x)). x \ ((L(1 / x,y,z) \ 1) * u) = x * (L(x,y,z) \ u). L(x,y,z) \ ((L(1 / L(x,y,z),u,w) \ 1) * x) != v5 | L(x \ L(x,u,w),y,z) \ x = v5. L(x \ L(x,y,z),u,w) \ x = L(x,u,w) * (L(L(x,u,w),y,z) \ x). L(x,y,z) * (L(L(x,y,z),u,w) \ x) = L(x \ L(x,u,w),y,z) \ x. T(L(x \ L(x,y,z),u,w) \ x,x \ 1) = L(x,u,w) \ (L(1 / L(x,u,w),y,z) \ x). (a(x,y,z) * (u * w)) / (a(x,y,z) * w) != v5 | L(u,w,a(x,y,z)) = v5. L(x,L(y,z,u),a(w,v5,y)) = L(x,y,a(y,v5,w)). x \ L(x,y,a(y,z,u)) = a(x,L(y,w,v5),a(y,z,u)). a(x,L(y,z,u),a(y,w,v5)) = x \ L(x,y,a(y,w,v5)). x != y \ L(y,z,a(u,w,v5)) | a(y,z,a(u,w,v5)) = x. a(x,y,a(y,z,u)) = a(x,L(y,w,v5),a(y,z,u)). a(x,L(y,z,u),a(y,w,v5)) = a(x,y,a(y,w,v5)). a(x,y,z) * (L(z \ L(z,y,x),z,y) \ u) = (a(x,y,z) \ (a(x,y,z) \ 1)) \ u. a(x,y,z) * (L(z \ L(z,y,x),z,y) \ u) = (L(z,y,x) * L(z \ 1,y,x)) \ u. a(x,y,z) * ((a(x,y,z) \ 1) \ u) = (L(z,y,x) * L(z \ 1,y,x)) \ u. (L(x,y,z) * L(x \ 1,y,z)) \ u = a(z,y,x) * ((a(z,y,x) \ 1) \ u). (L(x,y,z) * L(x \ 1,y,z)) \ u = a(z,y,x) * (u * a(z,y,x)). (L(x,y,z) \ x) * (L(x,y,z) \ x) = a(z,y,x) * a(z,y,x). (L(x,y,z) * L(x \ 1,y,z)) \ u != w | x * (L(L(x,y,z),y,z) \ u) = w. x * (L(L(x,y,z),y,z) \ u) = a(z,y,x) * (u * a(z,y,x)). a(x,y,z) * (u * a(x,y,z)) = z * (L(L(z,y,x),y,x) \ u). a(x,y,z) * a(x,y,z) = L(L(z,y,x),y,x) \ z. L(L(x,y,z),y,z) \ x = a(z,y,x) * a(z,y,x). L(L(x,y,z),y,z) * (a(z,y,x) * a(z,y,x)) = x. L(L(x,y,z) * (a(z,y,x) * a(z,y,x)),y,z) = x. L(L(x * (a(y,z,x) * a(y,z,x)),z,y),z,y) = x. L(x,y,z) = L(L(L(x * (a(u,w,x) * a(u,w,x)),y,z),w,u),w,u). L(L(L(x * (a(y,z,x) * a(y,z,x)),u,w),z,y),z,y) = L(x,u,w). (x * y) / (x * (y * a(z,u,w))) = 1 / L(a(z,u,w),y,x). x != y / L(a(z,u,w),v5,v6) | L(a(z,u,w),v5,v6) \ y = x. L(a(x,y,z),u,w) \ 1 = (w * u) / (w * (u * a(x,y,z))). (x * y) / (x * (y * a(z,u,w))) = L(a(z,u,w),y,x) \ 1. (x * y) / (x * (y * a(z,u,w))) != v5 | L(a(z,u,w) \ 1,y * a(z,u,w),x) = v5. L(a(x,y,z) \ 1,u * a(x,y,z),w) = L(a(x,y,z),u,w) \ 1. L(a(x,y,z) \ 1,u * a(x,y,z),w) != v5 | (w * (u * a(x,y,z))) \ (w * u) = v5. (x * (y * a(z,u,w))) \ (x * y) = L(a(z,u,w),y,x) \ 1. a(x,y * a(z,u,w),L(a(z,u,w),y,x) \ 1) = ((y * a(z,u,w)) * ((x * (y * a(z,u,w))) \ (x * y))) \ y. ((x * a(y,z,u)) * ((w * (x * a(y,z,u))) \ (w * x))) \ x = a(w,x * a(y,z,u),L(a(y,z,u),x,w) \ 1). T(L(x \ L(x,y,z),u,w) \ x,x \ 1) != v5 | L(x * L(1 / x,y,z),u,w) \ x = v5. L(x * L(1 / x,y,z),u,w) \ x = L(x,u,w) \ (L(1 / L(x,u,w),y,z) \ x). L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x) = L(x * L(1 / x,u,w),y,z) \ x. L(x,y,z) \ (L(1 / L(x,y,z),u,w) \ x) != v5 | L(L(1 / x,y,z),u,w) \ (x * L(1 / x,y,z)) = v5. L(L(1 / x,y,z),u,w) \ (x * L(1 / x,y,z)) = L(x * L(1 / x,u,w),y,z) \ x. x != L(y * L(1 / y,z,u),w,v5) \ v6 | v6 * L(y * (1 / L(y,z,u)),w,v5) = x. x * L(x * (1 / L(x,y,z)),u,w) = L(L(1 / x,u,w),y,z) \ (x * L(1 / x,u,w)). L(L(1 / x,y,z),u,w) \ (x * L(1 / x,y,z)) = x * L(x * (1 / L(x,u,w)),y,z). a(a(x,y,z \ (u \ z)) * w,v5,v6) != v7 | a(a(x,y,u) * w,v5,v6) = v7. a(a(x,y,z) * ((u * w) * v5),v6,v7) = a(v5 * (u * (w * (L(z,y,x) \ z))),v6,v7). a(x * (y * (z * (L(u,w,v5) \ u))),v6,v7) = a(a(v5,w,u) * ((y * z) * x),v6,v7). a(x * (y * (z * (L(z,u,w) \ z))),v5,v6) != v7 | a(x * (y * L(z,u,w)),v5,v6) = v7. a(x * (y * L(z,u,w)),v5,v6) = a(a(w,u,z) * ((y * z) * x),v5,v6). a(a(x,y,z) * ((u * z) * w),v5,v6) = a(w * (u * L(z,y,x)),v5,v6). a(a(x,y,z) * (u * (z * a(w,v5,v6))),v7,v8) = a(a(w,v5,v6) * (u * L(z,y,x)),v7,v8). a(a(x,y,z) * (u * (z * a(w,v5,a(x,y,z) * z))),v6,v7) != v8 | a(L(a(x,y,z) * (z \ (v9 * v9)),v5,w) * u,v6,v7) = v8. a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a(a(v5,w,a(x,y,z) * z) * (v6 * L(z,y,x)),v7,v8). R(x,y,z) \ (x * a(x,y,z)) = a(z * y,x,x \ R(x,y,z)) \ 1. a(x * y,z,z \ R(z,y,x)) \ 1 = R(z,y,x) \ (z * a(z,y,x)). x != R(y,z,u) \ (y * a(y,z,u)) | a(y,z,u) * (R(y,z,u) \ y) = x. a(x,y,z) * (R(x,y,z) \ x) = a(z * y,x,x \ R(x,y,z)) \ 1. a(x * y,z,z \ R(z,y,x)) \ 1 = a(z,y,x) * (R(z,y,x) \ z). a(x * y,z,z * R(z,y,x)) \ 1 = a(z,y,x) * (R(z,y,x) \ z). a(x * y,z,a(x,y,z)) \ 1 = a(z,y,x) * (R(z,y,x) \ z). a(x,a(x,y,z),y) \ 1 = a(x,y,z) * (R(x,y,z) \ x). a(x,y,z) * (R(x,y,z) \ x) = a(x,a(x,y,z),y) \ 1. x != a(y,a(z,u,w),v5) \ v6 | v6 * a(v5,a(z,u,w),y) = x. 1 * a(x,a(y,x,z),y) = a(y,x,z) * (R(y,x,z) \ y). a(x,y,z) * (R(x,y,z) \ x) = 1 * a(y,a(x,y,z),x). a(x,y,z) * (R(x,y,z) \ x) = 1 * a(y,x,a(x,y,z)). x != a(y,z,u) * (R(y,z,u) \ y) | a(z,y,a(y,z,u)) = x. a(x,y,a(y,x,z)) = (R(y,x,z) \ y) * a(y,x,z). (R(x,y,z) \ x) * a(x,y,z) = a(y,x,a(x,y,z)). (x \ R(x,y,z)) \ L(a(y,x,a(x,y,z)),u,w) = L(R(x,y,z) \ x,x,y * z). (x \ R(x,y,z)) \ a(y,x,a(x,y,z)) = L(R(x,y,z) \ x,x,y * z). (R(x,y,z) \ x) * a(y,x,a(x,y,z)) = L(R(x,y,z) \ x,x,y * z). (R(x,y,z) \ x) * a(u,w,a(x,y,z)) != v5 | L(R(x,y,z) \ x,w,u) = v5. L(R(x,y,z) \ x,x,y) = L(R(x,y,z) \ x,x,y * z). L(R(x,y,z) \ x,x,y * z) = L(R(x,y,z) \ x,x,y). L(R(x,y,z) \ x,x,y * z) != u | a(x,y,z) \ 1 = u. a(x,y,z) \ 1 = L(R(x,y,z) \ x,x,y). L(R(x,y,z) \ x,x,y) = a(x,y,z) \ 1. L(x \ R(x,y,z),x,y) = a(x,y,z). a(x,y,z) = L(x \ R(x,y,z),x,y). x != L(y,L(z,u,w),v5) | L(y,L(z \ 1,u,w),v5) = x. L(L(x,y,z) \ R(L(x,y,z),u,w),L(x \ 1,y,z),u) = a(L(x,y,z),u,w). L(x \ R(x,L(y,z,u),w),x,y) = a(x,L(y,z,u),w). R(a(x,y,z),u,w) = L(R(x \ R(x,y,z),u,w),x,y). L(R(x \ R(x,y,z),u,w),x,y) = R(a(x,y,z),u,w). a(x,y,z) != L(u,x,y) | x \ R(x,y,z) = u. L(x,y,z) != a(y,z,u) | y \ R(y,z,u) = x. L(x \ R(x,L(y \ (z / u),w,v5),v6),x,y \ (u \ z)) = a(x,L(y \ (z / u),w,v5),v6). L(L(x,y,z) \ L(R(x,u,w),y,z),L(x \ 1,y,z),u) = a(L(x,y,z),u,w). L(L(x \ R(x,y,z),u,w),L(x \ 1,u,w),y) = a(L(x,u,w),y,z). L(L(x \ R(x,y,z),u,w),L(x,u,w),y) = a(L(x,u,w),y,z). L(x \ R(x,L(y \ (z \ u),w,v5),v6),x,y \ (z \ u)) = a(x,L(y \ (u / z),w,v5),v6). L(x \ R(x,L(y,z,u),w),x,y) != v5 | a(x,L(y,z,u),w) = v5. a(x,L(y \ (z \ u),w,v5),v6) = a(x,L(y \ (u / z),w,v5),v6). a(x,L(y \ (z / u),w,v5),v6) = a(x,L(y \ (u \ z),w,v5),v6). a(x,L(y \ (y / z),u,w),v5) != v6 | a(x,L(((y * z) \ y) \ 1,u,w),v5) = v6. a(x,L(((y * z) \ y) \ 1,u,w),v5) = a(x,L(y \ (z \ y),u,w),v5). a(x,L(y \ 1,z,u),w) != v5 | a(x,L(y,z,u),w) = v5. a(x,L((y * z) \ y,u,w),v5) = a(x,L(y \ (z \ y),u,w),v5). L(x,y,z * (L(1 / z,u,w) \ v5)) = L(x,y,(L(z \ 1,u,w) \ 1) * (z \ v5)). L(x,y,(L(z \ 1,u,w) \ 1) * (z \ v5)) = L(x,y,z * (L(1 / z,u,w) \ v5)). x != L(y,z,u * (L(1 / w,v5,v6) \ v7)) | L(y,z,u * (L(w,v5,v6) \ v7)) = x. L(x,y,z * (L(z,u,w) \ v5)) = L(x,y,(L(z \ 1,u,w) \ 1) * (z \ v5)). L(x,y,(L(z \ 1,u,w) \ 1) * (z \ v5)) = L(x,y,z * (L(z,u,w) \ v5)). L(x,y,(z \ u) * L(z \ 1,w,v5)) = L(x,y,z * (L(z,w,v5) \ u)). L(x,y,(z \ u) * L(z,w,v5)) = L(x,y,z * (L(z,w,v5) \ u)). L(x,y,a(a(z,u,w),v5,v6) * ((v7 \ v8) * L(v7,v9,v10))) = L(x,y,v7 * (L(v7,v9,v10) \ v8)). L(x,y,T(z,u) * L(u,w,v5)) = L(x,y,u * (L(u,w,v5) \ (z * u))). L(x,y,z * (L(z,u,w) \ (v5 * z))) = L(x,y,T(v5,z) * L(z,u,w)). L(x,y,z * (L(z,u,w) \ (v5 * z))) != v6 | L(x,y,v5 * L(z,u,w)) = v6. L(L(1 / x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) = 1 / L(x,y,a(v5,v6,v7) * a(z,u,w)). L(L(x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) != v8 | L(x,y,a(v5,v6,v7) * a(z,u,w)) = v8. L(1 / x,y,a(z,u,w) * a(v5,v6,v7)) = 1 / L(x,y,a(z,u,w) * a(v5,v6,v7)). x \ (y * L(y \ (L(x,z,u) \ y),w,a(v5,v6,v7))) = L(L(x,z,u),w,a(v5,v6,v7)) \ (x \ y). x \ (L(L(x,y,z),u,a(w,v5,v6)) \ v7) = L(L(x,y,z),u,a(w,v5,v6)) \ (x \ v7). L(L(x,y,z),u,a(w,v5,v6)) \ (x \ v7) = x \ (L(L(x,y,z),u,a(w,v5,v6)) \ v7). (x * a(y,x,z)) \ (x * z) != u | L(z,x,y) = u. L(a(x,y,z),u,a(w,v5,v6) * (v7 * v8)) = L(a(x,y,z),u,a(w,v5,v6) * (v7 \ v8)). L(a(x,y,z),u,a(w,v5,v6) * (v7 \ v8)) = L(a(x,y,z),u,a(w,v5,v6) * (v7 * v8)). L(a(x,y,z),u,a(x,y,z) * (u * w)) \ w = u * ((u * a(x,y,z)) \ w). x != a(a(y,z,a(u,w,v5) * v5) * v6,v7,v8) | a(a(y,z,v5) * v6,v7,v8) = x. a(a(x,y,z) * (u * L(z,w,v5)),v6,v7) = a(L(a(v5,w,z) * (z \ (v8 * v8)),y,x) * u,v6,v7). a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a(a(v5,w,z) * (v6 * L(z,y,x)),v7,v8). x != a(a(y,z,u) * (w * L(u,v5,v6)),v7,v8) | a(w * L(L(u,v5,v6),z,y),v7,v8) = x. a(x * L(L(y,z,u),w,v5),v6,v7) = a(L(a(u,z,y) * (y \ (v8 * v8)),w,v5) * x,v6,v7). a(L(a(x,y,z) * (z \ (u * u)),w,v5) * v6,v7,v8) = a(v6 * L(L(z,y,x),w,v5),v7,v8). a(L(x \ a(y,z,x),u,w) * ((v5 * v5) * v6),v7,v8) = a(v6 * L(L(x,z,y),u,w),v7,v8). a(L(x \ a(y,z,x),u,w) * v5,v6,v7) = a(v5 * L(L(x,z,y),u,w),v6,v7). a(L(x \ a(y,z,x),u,w) * v5,v6,v7) != v8 | a(v5 * L(x * a(y,z,x),u,w),v6,v7) = v8. a(x * L(y * a(z,u,y),w,v5),v6,v7) = a(x * L(L(y,u,z),w,v5),v6,v7). ((1 / (L(x,y,z) \ x)) \ a(L(x,y,z) \ x,u,w)) * v5 = (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5). T(x * L(L(y,z,u) \ y,w,v5),x \ (y \ L(y,z,u))) \ 1 = 1 / (L(y \ L(y,z,u),w,v5) \ x). T(x * L(L(x,y,z) \ x,u,w),L(x \ 1,y,z)) \ 1 = 1 / (L(x \ L(x,y,z),u,w) \ x). T(x * L(L(x,y,z) \ x,u,w),x \ 1) \ 1 = 1 / (L(x \ L(x,y,z),u,w) \ x). (x * L(x * (1 / L(x,y,z)),u,w)) \ 1 = 1 / (L(x \ L(x,y,z),u,w) \ x). a(x,y * a(z,u,w),L(a(z,u,w),y,x)) = ((y * a(z,u,w)) * ((x * (y * a(z,u,w))) \ (x * y))) \ y. ((x * a(y,z,u)) * ((w * (x * a(y,z,u))) \ (w * x))) \ x = a(w,x * a(y,z,u),L(a(y,z,u),x,w)). x != a(y,z,L(a(u,w,v5),v6,v7)) | a(y,z,a(u,w,v5)) = x. a(x,y * a(z,u,w),a(z,u,w)) = ((y * a(z,u,w)) * ((x * (y * a(z,u,w))) \ (x * y))) \ y. ((x * a(y,z,u)) * ((w * (x * a(y,z,u))) \ (w * x))) \ x = a(w,x * a(y,z,u),a(y,z,u)). ((x * a(y,z,u)) * (L(a(y,z,u),x,w) \ 1)) \ x = a(w,x * a(y,z,u),a(y,z,u)). (L(a(x,y,z),u,w) \ (u * a(x,y,z))) \ u = a(w,u * a(x,y,z),a(x,y,z)). (a(x,y,z) * (L(a(x,y,z),u,w) \ u)) \ u = a(w,u * a(x,y,z),a(x,y,z)). (x * a(y,x,a(z,u,w))) \ x = a(y,x * a(z,u,w),a(z,u,w)). a(x,y * a(z,u,w),a(z,u,w)) = (y * a(x,y,a(z,u,w))) \ y. x != (y * a(z,u,w)) \ y | a(z,u,w) \ 1 = x. a(x,y,a(z,u,w)) \ 1 = a(x,y * a(z,u,w),a(z,u,w)). a(x,y * a(z,u,w),a(z,u,w)) = a(x,y,a(z,u,w)) \ 1. x != a(y,z,a(u,w,v5)) \ 1 | a(a(u,w,v5),z,y) = x. a(a(x,y,z),u,w) = a(w,u * a(x,y,z),a(x,y,z)). a(x,y * a(z,u,w),a(z,u,w)) = a(a(z,u,w),y,x). a(x,a(y,z,u) * w,a(y,z,u)) = a(a(y,z,u),w,x). (a(a(x,y,z),u,w) * v5) \ (a(x,y,z) * v5) = L(a(x,y,z),a(x,y,z) / u,w). (x \ (a(y,z,u) * x)) * a(w,v5,a(y,z,u)) = L(a(y,z,u),a(y,z,u) / v5,w). a(x,y,z) * a(u,w,a(x,y,z)) = L(a(x,y,z),a(x,y,z) / w,u). L(a(x,y,z),a(x,y,z) / u,w) = a(x,y,z) * a(w,u,a(x,y,z)). x != a(y,z,u) * a(w,v5,a(y,z,u)) | L(a(y,z,u) \ 1,v5,w) \ 1 = x. L(a(x,y,z) \ 1,u,w) \ 1 = L(a(x,y,z),a(x,y,z) / u,w). L(a(x,y,z),a(x,y,z) / u,w) = L(a(x,y,z) \ 1,u,w) \ 1. L(a(x,y,z),u \ a(x,y,z),w) = L(a(x,y,z) \ 1,u,w) \ 1. L(a(x,y,z),a(x,y,z) * u,w) = L(a(x,y,z) \ 1,u,w) \ 1. (L(a(x,y,z) \ 1,u,u * w) \ 1) \ w = (w / u) * (a(x,y,z) \ u). L(a(x,y,z),u,u * w) \ w = (w / u) * (a(x,y,z) \ u). ((x \ L(x,y,z)) \ a(L(x,y,z) \ x,u,w)) * v5 = (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5). ((x \ L(x,y,z)) \ a(x * L(x,y,z),u,w)) * v5 = (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5). (a(x * L(x,y,z),u,w) * (L(x,y,z) \ x)) * v5 = (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5). L(L(x,y,z) \ x,u,w) * v5 = (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5). (L(x,y,z) \ x) * (a(x * L(x,y,z),u,w) * v5) = L(L(x,y,z) \ x,u,w) * v5. (L(x,y,z) \ x) * (a(a(z,y,x),u,w) * v5) = L(L(x,y,z) \ x,u,w) * v5. (L(x,y,z) \ x) * (a(a(z,y,x),x,u) * u) != w | x \ ((L(1 / x,y,z) \ 1) * u) = w. x \ ((L(1 / x,y,z) \ 1) * u) = L(L(x,y,z) \ x,x,u) * u. x \ ((L(1 / x,y,z) \ 1) * u) != w | x * (L(x,y,z) \ u) = w. x * (L(x,y,z) \ u) = L(L(x,y,z) \ x,x,u) * u. L(L(x,y,z) \ x,x,u) * u = x * (L(x,y,z) \ u). x * y != z * (L(z,u,w) \ v5) | x \ (L(L(z,u,w) \ z,z,v5) * v5) = y. x \ (L(L(R(x,y,z),u,w) \ R(x,y,z),R(x,y,z),v5) * v5) = R(x,y,z) * (x \ (L(R(x,y,z),u,w) \ v5)). L(x,y,z) * u != w | x * ((u / x) * L(x,y,z)) = w. (L(x,y,z) \ x) * ((u / (L(x,y,z) \ x)) * L(L(x,y,z) \ x,x,u)) = x * (L(x,y,z) \ u). x * y != L(L(z,u,w) \ z,z,v5) * v5 | x \ (z * (L(z,u,w) \ v5)) = y. x \ (y * (L(y,z,u) \ x)) = L(T(L(y,z,u) \ y,x),y,x). L(T(L(x,y,z) \ x,u),x,u) = u \ (x * (L(x,y,z) \ u)). L(L(x,y,z) \ x,x,L(L(x,u,w),y,z)) * L(L(x,u,w),y,z) = x * L(x \ L(x,u,w),y,z). L(L(x \ L(x,y,z),u,w) \ 1,L(x,u,w),v5) * v5 = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). L(x,y * (L(y,z,u) \ w),v5) = L(x,a(u,z,y) * w,v5). L(x,y * (L(y,z,u) \ w),v5) != v6 | L(x,a(u,z,y) * w,v5) = v6. L(x,L(y,z,u) \ w,v5) = L(x,a(u,z,y) * (y \ w),v5). L(x,a(y,z,u) * (u \ w),v5) = L(x,L(u,z,y) \ w,v5). L(x,(y \ z) * a(u,w,y),v5) = L(x,L(y,w,u) \ z,v5). L(L(x,y,z) \ x,x,u) = u \ (x * (L(x,y,z) \ u)). (x \ (y * (L(y,z,u) \ x))) * ((L(y,z,u) \ y) \ 1) = (L(y,z,u) \ y) \ L(L(y,z,u) \ y,y,x). (L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,u) = (u \ (x * (L(x,y,z) \ u))) * ((L(x,y,z) \ x) \ 1). L((L(x,y,z) \ x) \ 1,u,w) * L((L(x,y,z) \ x) \ (v5 \ (x * (L(x,y,z) \ v5))),u,w) = L(L((L(x,y,z) \ x) \ 1,u,w),x,v5). L(L(x \ y,z,u) \ (x \ y),x \ y,x) = x \ (L(y / x,z,u) \ y). x * (y \ (L(z / y,u,w) \ z)) = x * (L(z \ y,u,w) \ (z \ y)). x * (L(y \ z,u,w) \ (y \ z)) = x * (z \ (L(y / z,u,w) \ y)). L(x \ y,z,u) \ (x \ y) = y \ (L(x / y,z,u) \ x). L(x \ y,z,u) \ (x \ y) = y \ (L((x \ 1) / y,z,u) \ (x \ 1)). x \ (L((y \ 1) / x,z,u) \ (y \ 1)) = L(y \ x,z,u) \ (y \ x). L(x \ y,z,u) \ (x \ y) != w | L(y / x,z,u) \ (y / x) = w. L(x / y,z,u) \ (x / y) = x \ (L(y / x,z,u) \ y). L(x \ a(y,z,u),w,v5) \ (x \ a(y,z,u)) != v6 | L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x) = v6. L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x) = a(y,z,u) \ (L(x / a(y,z,u),w,v5) \ x). L(x \ (y \ x),z,u) \ (x \ (y \ x)) != w | (x \ (L(y,z,u) * (y \ x))) \ 1 = w. (x \ (L(y,z,u) * (y \ x))) \ 1 = (y \ x) \ (L(x / (y \ x),z,u) \ x). (x \ y) \ (L(y / (x \ y),z,u) \ y) = (y \ (L(x,z,u) * (x \ y))) \ 1. L((x * y) \ x,z,u) \ ((x * y) \ x) != w | ((x * y) \ (x * L(y,z,u))) \ 1 = w. ((x * y) \ (x * L(y,z,u))) \ 1 = x \ (L((x * y) / x,z,u) \ (x * y)). x \ (L((x * y) / x,z,u) \ (x * y)) = ((x * y) \ (x * L(y,z,u))) \ 1. L(x * a(y,z,u),w,v5) \ ((a(y,z,u) \ 1) \ x) = x \ (L((a(y,z,u) \ 1) / x,w,v5) \ (a(y,z,u) \ 1)). x \ (L((a(y,z,u) \ 1) / x,w,v5) \ (a(y,z,u) \ 1)) = L(x * a(y,z,u),w,v5) \ ((a(y,z,u) \ 1) \ x). L(a(x,y,z) \ z,u,w) \ ((a(x,y,z) / z) \ 1) = 1 \ (L((a(x,y,z) / z) / 1,u,w) \ (a(x,y,z) / z)). 1 \ (L((a(x,y,z) / z) / 1,u,w) \ (a(x,y,z) / z)) = L(a(x,y,z) \ z,u,w) \ ((a(x,y,z) / z) \ 1). x != L(y \ z,u,w) \ (y \ z) | z \ (L(y / z,u,w) \ y) = x. x \ (L(y / x,z,u) \ y) = x \ (L((y \ 1) / x,z,u) \ (y \ 1)). x \ (L((y \ 1) / x,z,u) \ (y \ 1)) = x \ (L(y / x,z,u) \ y). (x \ y) \ (L(x,z,u) \ y) = (y \ (L(x,z,u) * (x \ y))) \ 1. (x \ (L(y,z,u) * (y \ x))) \ 1 = (y \ x) \ (L(y,z,u) \ x). x \ (y * (L(y,z,u) \ x)) = ((x * y) \ (x * L(y,z,u))) \ 1. ((x * y) \ (x * L(y,z,u))) \ 1 = x \ (y * (L(y,z,u) \ x)). ((x * y) \ (L(x,z,u) * y)) \ 1 = y \ (x * (L(x,z,u) \ y)). x * (y \ (z * (L(z,u,w) \ y))) = ((z * y) \ (L(z,u,w) * y)) \ x. ((x * y) \ (L(x,z,u) * y)) \ w = w * (y \ (x * (L(x,z,u) \ y))). (x \ (L(y,z,u) * (y \ x))) \ w = w * (x \ (y * (L(y,z,u) \ x))). x != (y \ (L(z,u,w) * (z \ y))) \ 1 | y \ (z * (L(z,u,w) \ y)) = x. 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 \ (L(y,z,u) * (y \ x))) \ 1 != w | w = x \ (y * (L(y,z,u) \ x)). (x \ (L(y,z,u) * (y \ x))) \ 1 != w | x \ (y * (L(y,z,u) \ x)) = w. (x \ y) \ (L(x,z,u) \ y) != w | y \ (x * (L(x,z,u) \ y)) = w. L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x) = a(y,z,u) \ (L(a(y,z,u) \ x,w,v5) \ x). (L(x,y,z) \ x) * ((u * (x \ L(x,y,z))) * L(L(x,y,z) \ x,x,u)) = x * (L(x,y,z) \ u). (L(x,y,z) \ x) * (u * a(a(z,y,x),x,u)) = x * (L(x,y,z) \ u). (L(x,y,z) \ x) * (u * a(x,a(x,y,z),u)) = x * (L(x,y,z) \ u). (L(x,y,z) \ x) * L(u,x,a(x,y,z)) = x * (L(x,y,z) \ u). x != (y / z) * (L(y / z,u,w) \ v5) | (z \ y) * (L(z \ y,u,w) \ v5) = x. (x \ y) * (L(x \ y,z,u) \ w) = (L(y / x,z,u) \ (y / x)) * L(w,y / x,a(y / x,z,u)). (L(x / y,z,u) \ (x / y)) * L(w,x / y,a(x / y,z,u)) = (y \ x) * (L(y \ x,z,u) \ w). L(L(x,y,z) \ x,x,L(x,u,w)) * L(L(x,u,w),y,z) = x * L(x \ L(x,u,w),y,z). L(L(x,y,z) \ x,x,x) * L(L(x,u,w),y,z) = x * L(x \ L(x,u,w),y,z). (L(x,y,z) \ x) * L(L(x,u,w),y,z) = x * L(x \ L(x,u,w),y,z). x * (L(x,y,z) \ u) = (L(1 / x,y,z) \ (1 / x)) * L(u,1 / x,a(1 / x,y,z)). (L(1 / x,y,z) \ (1 / x)) * L(u,1 / x,a(1 / x,y,z)) = x * (L(x,y,z) \ u). (1 \ (L(x / 1,y,z) \ x)) * L(u,1 / x,a(1 / x,y,z)) = x * (L(x,y,z) \ u). (1 \ (L(x,y,z) \ x)) * L(u,1 / x,a(1 / x,y,z)) = x * (L(x,y,z) \ u). (1 \ L(L(x,y,z) \ x,u,w)) * L(v5,1 / L(x,u,w),a(1 / L(x,u,w),y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). (L(x,y,z) \ x) \ L(L(x,y,z) \ x,x,u) = (u \ (x * (L(x,y,z) \ u))) * (x \ L(x,y,z)). L(x,y,z) \ (x * L(x \ L(x,y,z),x,u)) = (u \ (x * (L(x,y,z) \ u))) * (x \ L(x,y,z)). x * (L(x,y,z) \ L(x \ L(x,y,z),x,u)) = (u \ (x * (L(x,y,z) \ u))) * (x \ L(x,y,z)). (x \ (y * (L(y,z,u) \ x))) * (y \ L(y,z,u)) = y * (L(y,z,u) \ L(y \ L(y,z,u),y,x)). (x \ (y * (L(y,z,u) \ x))) * (y \ L(y,z,u)) = y * (y \ a(a(u,z,y),y,x)). (x \ (y * (L(y,z,u) \ x))) * (y \ L(y,z,u)) = y * (y \ a(y,a(y,z,u),x)). a(x,a(x,y,z),u) = (u \ (x * (L(x,y,z) \ u))) * (x \ L(x,y,z)). (x \ (y * (L(y,z,u) \ x))) * (y \ L(y,z,u)) = a(y,a(y,z,u),x). x \ (L(L(x \ L(x,y,z),u,w) \ 1,R(x,u,w),v5) * v5) = R(x,u,w) * (x \ (L(R(x,u,w),y,z) \ v5)). x \ (L(L(x \ L(x,y,z),u,w) \ 1,L(x,u,w),v5) * v5) = R(x,u,w) * (x \ (L(R(x,u,w),y,z) \ v5)). x \ (L(x,y,z) * (L(L(x,y,z),u,w) \ v5)) = R(x,y,z) * (x \ (L(R(x,y,z),u,w) \ v5)). L(x,y,z) * (x \ (L(L(x,y,z),u,w) \ v5)) = R(x,y,z) * (x \ (L(R(x,y,z),u,w) \ v5)). R(x,y,z) * (x \ (L(R(x,y,z),u,w) \ v5)) = L(x,y,z) * (x \ (L(L(x,y,z),u,w) \ v5)). x \ (y * a(a(z,u,w),v5,L(x,v6,v7))) = R(x,v6,v7) * (x \ (L(R(x,v6,v7),v5,a(z,u,w)) \ y)). R(x,y,z) * (x \ (L(R(x,y,z),u,a(w,v5,v6)) \ v7)) = x \ (v7 * a(a(w,v5,v6),u,L(x,y,z))). R(x,y,z) * (x \ (L(R(x,y,z),u,a(w,v5,v6)) \ v7)) = x \ (v7 * a(a(w,v5,v6),u,x)). x != y \ (z * a(u,w,y)) | (y \ z) * a(u,w,y) = x. (x \ y) * a(a(z,u,w),v5,x) = R(x,v6,v7) * (x \ (L(R(x,v6,v7),v5,a(z,u,w)) \ y)). R(x,y,z) * (x \ (L(R(x,y,z),u,a(w,v5,v6)) \ v7)) = (x \ v7) * a(a(w,v5,v6),u,x). R(x,y,z) * (x \ (L(R(x,y,z),u,a(w,v5,v6)) \ v7)) != v8 | L(x,u,a(w,v5,v6)) \ v7 = v8. L(x,y,z) * (x \ (L(L(x,y,z),u,a(w,v5,v6)) \ v7)) != v8 | L(x,u,a(w,v5,v6)) \ v7 = v8. x \ (L((a(y,z,u) \ 1) / x,w,v5) \ (a(y,z,u) \ 1)) = L(x * a(y,z,u),w,v5) \ (x * a(y,z,u)). x \ (L((y \ 1) / x,z,u) \ (y \ 1)) != w | x \ (L(y / x,z,u) \ y) = w. x \ (L(a(y,z,u) / x,w,v5) \ a(y,z,u)) = L(x * a(y,z,u),w,v5) \ (x * a(y,z,u)). L(x * a(y,z,u),w,v5) \ (x * a(y,z,u)) = x \ (L(a(y,z,u) / x,w,v5) \ a(y,z,u)). a(x,y,z * a(u,w,v5)) = L(z \ (L(a(u,w,v5) / z,y,x) \ a(u,w,v5)),z * a(u,w,v5),x * y). L(x \ (L(a(y,z,u) / x,w,v5) \ a(y,z,u)),x * a(y,z,u),v5 * w) = a(v5,w,x * a(y,z,u)). 1 \ (L((a(x,y,z) / z) / 1,u,w) \ (a(x,y,z) / z)) = L(a(x,y,z) \ z,u,w) \ (a(x,y,z) \ z). x \ (L(a(y,z,x) / x,u,w) \ a(y,z,x)) = 1 \ (L((a(y,z,x) / x) / 1,u,w) \ (a(y,z,x) / x)). 1 \ (L((a(x,y,z) / z) / 1,u,w) \ (a(x,y,z) / z)) = z \ (L(a(x,y,z) / z,u,w) \ a(x,y,z)). 1 \ (L(a(x,y,z) / z,u,w) \ (a(x,y,z) / z)) = z \ (L(a(x,y,z) / z,u,w) \ a(x,y,z)). 1 \ (a(x,y,z) \ (L(z / a(x,y,z),u,w) \ z)) = z \ (L(a(x,y,z) / z,u,w) \ a(x,y,z)). 1 \ (a(x,y,z) \ (L(a(x,y,z) \ z,u,w) \ z)) = z \ (L(a(x,y,z) / z,u,w) \ a(x,y,z)). x * L(R(x \ a(a(x,y,z),u,w),y,z),a(v5,v6,v7),L(x \ a(a(x,y,z),u,w),y,z)) = L(x \ R(x,y,z),u,w). x * L(R(x \ a(a(x,y,z),u,w),y,z),a(v5,v6,v7),L(x,y,z)) = L(x \ R(x,y,z),u,w). x * L(R(x \ a(a(x,y,z),u,w),y,z),a(v5,v6,v7),x) = L(x \ R(x,y,z),u,w). x * L(R(x \ a(x,y,a(z,u,w)),y,w),a(v5,v6,v7),x) = L(x \ R(x,y,w),u,z). x * L(R(x \ a(x,y,a(z,u,w)),v5,v6),v7,v8) != v9 | x \ L(L(R(x,v5,v6),v7,v8),y,a(z,u,w)) = v9. x \ L(L(R(x,y,z),a(u,w,v5),x),y,a(v6,v7,z)) = L(x \ R(x,y,z),v7,v6). x \ L(R(x,y,z),y,a(u,w,z)) = L(x \ R(x,y,z),w,u). (a(x,L(y,z,u),a(y,w,v5)) * L(y,z,u)) \ ((y \ L(y,z,u)) * R(y,w,v5)) = L(y \ R(y,w,v5),L(y,z,u),x). (a(x,y,a(y,z,u)) * L(y,w,v5)) \ ((y \ L(y,w,v5)) * R(y,z,u)) = L(y \ R(y,z,u),L(y,w,v5),x). L(x * a(y,x,a(x,z,u)),w,v5) \ ((x \ L(x,w,v5)) * R(x,z,u)) = L(x \ R(x,z,u),L(x,w,v5),y). L(L(x,y,a(z,x,u)),w,v5) \ ((x \ L(x,w,v5)) * R(x,y,u)) = L(x \ R(x,y,u),L(x,w,v5),z). L(L(x,y,a(z,x,u)),w,v5) \ (L(x,w,v5) * (x \ R(x,y,u))) = L(x \ R(x,y,u),L(x,w,v5),z). L(x,y,z) * (L(L(x,y,z),u,a(w,x,v5)) \ (x \ R(x,u,v5))) = L(x \ R(x,u,v5),L(x,y,z),w). L(x,y,z) * (x \ (L(L(x,y,z),u,a(w,x,v5)) \ R(x,u,v5))) = L(x \ R(x,u,v5),L(x,y,z),w). L(x,y,a(z,x,u)) \ R(x,y,u) = L(x \ R(x,y,u),L(x,w,v5),z). L(x \ R(x,y,z),L(x,u,w),v5) = L(x,y,a(v5,x,z)) \ R(x,y,z). x != L(y,z,a(u,w,v5)) \ R(y,v6,v7) | y \ L(R(y,v6,v7),z,a(u,w,v5)) = x. x \ L(R(x,y,z),y,a(u,x,z)) = L(x \ R(x,y,z),L(x,w,v5),u). L(x \ R(x,y,z),L(x,u,w),v5) = x \ L(R(x,y,z),y,a(v5,x,z)). x != y \ L(R(y,z,u),z,a(w,v5,u)) | L(y \ R(y,z,u),v5,w) = x. L(x \ R(x,y,z),x,u) = L(x \ R(x,y,z),L(x,w,v5),u). L(x \ R(x,y,z),L(x,u,w),v5) = L(x \ R(x,y,z),x,v5). L((x \ y) \ R(x \ y,z,u),y * x,w) = L((x \ y) \ R(x \ y,z,u),x \ y,w). L((x \ y) \ R(x \ y,z,u),x \ y,w) = L((x \ y) \ R(x \ y,z,u),y * x,w). R(L(x \ R(x,y,z),x,u),w,v5) = L(R(x \ R(x,y,z),w,v5),L(x,v6,v7),u). L(R(x \ R(x,y,z),u,w),L(x,v5,v6),v7) = R(L(x \ R(x,y,z),x,v7),u,w). L(R(x \ R(x,y,z),u,w),x,v5) = L(R(x \ R(x,y,z),u,w),L(x,v6,v7),v5). L(R(x \ R(x,y,z),u,w),L(x,v5,v6),v7) = L(R(x \ R(x,y,z),u,w),x,v7). L(R(x \ R(x,y,z),u,w),L(x,v5,v6),v7) = L(L(x \ R(x,y,z),u,w),x,v7). L(L(x \ R(x,y,z),u,w),L(x,v5,v6),v7) = L(L(x \ R(x,y,z),u,w),x,v7). L(L(x \ R(x,y,z),u,w),L(x,u,w),y) != v5 | a(L(x,u,w),y,z) = v5. a(L(x,y,z),u,w) = L(L(x \ R(x,u,w),y,z),x,u). L(L(x \ R(x,y,z),u,w),x,y) = a(L(x,u,w),y,z). L((x \ y) \ R(x \ y,z,u),x \ y,w) = L(x \ (y * R(y \ x,z,u)),y * x,w). a(x \ y,z,u) = L(x \ (y * R(y \ x,z,u)),y * x,z * u). L(x \ (y * R(y \ x,z,u)),y * x,z * u) = a(x \ y,z,u). x * (y * a(y \ x,z,u)) = (x * y) * a(x * y,z,u). (x * y) * a(x * y,z,u) = x * (y * a(y \ x,z,u)). L(x,a(y * x,z,u),a(y,x,a(y * x,z,u))) \ (y \ (y * (x * a(x \ y,z,u)))) = a(y * x,z,u) * a(y,x,a(y * x,z,u)). (L(x,y,z) * a(u,L(x,y,z),a(w,v5,x))) \ L(L(x,y,z),v5,w) = L(L(x \ L(x,v5,w),y,z),L(x,y,z),u). (L(x,y,z) * a(u,x,a(w,v5,x))) \ L(L(x,y,z),v5,w) = L(L(x \ L(x,v5,w),y,z),L(x,y,z),u). (L(x,y,z) \ L(L(x,y,z),u,w)) * a(a(w,u,x),x,v5) = L(L(x \ L(x,u,w),y,z),L(x,y,z),v5). L(x \ L(x,y,z),u,w) * a(a(z,y,x),x,v5) = L(L(x \ L(x,y,z),u,w),L(x,u,w),v5). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L(x \ L(x,y,z),u,w) * a(a(z,y,x),x,v5). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),v5). L((x \ L(x,y,z)) * a(x,a(x,y,z),u),w,v5) = L(L(x \ L(x,y,z),w,v5),L(x,w,v5),u). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L((x \ L(x,y,z)) * a(x,a(x,y,z),v5),u,w). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L(x * L(x \ a(x,a(x,y,z),v5),y,z),u,w). L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L(x \ L(L(x,a(x,y,z),v5),y,z),u,w). L(L(x,y,z) \ x,u,w) * L(v5,1 / L(x,u,w),a(1 / L(x,u,w),y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). L(L(x,y,z) \ x,u,w) * L(v5,1 / L(x,u,w),a(L(x,u,w),y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). L(L(x,y,z) \ x,u,w) * L(v5,1 / L(x,u,w),a(z,y,x)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). L(L(x,y,z) \ x,u,w) * L(v5,L(x,u,w),a(z,y,x)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). L(L(x,y,z) \ x,u,w) * L(v5,x,a(x,y,z)) = L(x,u,w) * (L(L(x,u,w),y,z) \ v5). (x * a(y,z,a(u,x,w))) * L((x \ 1) * a(u,x,a(y,z,w)),u,a(y,z,w)) = (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u). (x * a(y,z,a(u,x,w))) * L(x \ a(u,x,a(y,z,w)),u,a(y,z,w)) = (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u). x * (a(y,z,a(u,x,w)) * L(x \ a(u,x,a(y,z,w)),u,a(y,z,w))) = (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u). x * L((x \ a(y,x,a(z,u,w))) * a(z,u,a(y,x,w)),y,a(z,u,w)) = (x * a(z,u,a(y,x,w))) \ L(x,a(z,u,w),y). x \ ((x * a(y,z,u)) * (a(y,z,u) \ w)) != v5 | L(w,a(y,z,u),a(y,z,u) * x) = v5. L(x \ a(y,z,u),a(y,z,u),a(y,z,u) * w) = a(y,z,u) * ((a(y,z,u) \ (x \ a(y,z,u))) * (L(x,a(y,z,u),w) \ x)). a(x,y,z) * ((a(x,y,z) \ (u \ a(x,y,z))) * (L(u,a(x,y,z),w) \ u)) = L(u \ a(x,y,z),a(x,y,z),a(x,y,z) * w). a(x,y,z) * ((a(x,y,z) \ (u \ a(x,y,z))) * a(w,a(x,y,z),u)) = L(u \ a(x,y,z),a(x,y,z),a(x,y,z) * w). a(x,y,z) * (a(x,y,z) \ (L(u,a(x,y,z),w) \ a(x,y,z))) = L(u \ a(x,y,z),a(x,y,z),a(x,y,z) * w). L(x,a(y,z,u),w) \ a(y,z,u) = L(x \ a(y,z,u),a(y,z,u),a(y,z,u) * w). L(x \ a(y,z,u),a(y,z,u),a(y,z,u) * w) = L(x,a(y,z,u),w) \ a(y,z,u). (x \ a(y,z,u)) \ (L(x,a(y,z,u),w) \ a(y,z,u)) = x \ (a(y,z,u) * (w \ ((a(y,z,u) \ w) * x))). a(x,y,z) \ (u * (L(u,a(x,y,z),w) \ a(x,y,z))) = u \ (a(x,y,z) * (w \ ((a(x,y,z) \ w) * u))). a(x,y,z) \ (a(u,a(x,y,z),w) * a(x,y,z)) = w \ (a(x,y,z) * (u \ ((a(x,y,z) \ u) * w))). a(x,a(y,z,u),w) = w \ (a(y,z,u) * (x \ ((a(y,z,u) \ x) * w))). x \ (a(y,z,u) * (w \ ((a(y,z,u) \ w) * x))) = a(w,a(y,z,u),x). (x \ a(y,z,u)) \ (a(y,z,u) * (w \ ((a(y,z,u) \ w) * (x \ a(y,z,u))))) != v5 | x \ L(x,a(y,z,u),a(y,z,u) * w) = v5. x \ L(x,a(y,z,u),a(y,z,u) * w) = a(w,a(y,z,u),x \ a(y,z,u)). x != a(y,z,u \ a(w,v5,v6)) | a(y,z,u * a(w,v5,v6)) = x. a(x,a(y,z,u),w * a(y,z,u)) = w \ L(w,a(y,z,u),a(y,z,u) * x). x \ L(x,a(y,z,u),a(y,z,u) * w) = a(w,a(y,z,u),x * a(y,z,u)). a(x,a(y,z,u),a(y,z,u) * w) = a(w,a(y,z,u),x * a(y,z,u)). L(x \ L(x,y,z),u,w) * L((L(x,y,z) \ x) \ (v5 \ (x * (L(x,y,z) \ v5))),u,w) = L(L((L(x,y,z) \ x) \ 1,u,w),x,v5). L(x \ L(x,y,z),u,w) * L((v5 \ (x * (L(x,y,z) \ v5))) * (x \ L(x,y,z)),u,w) = L(L((L(x,y,z) \ x) \ 1,u,w),x,v5). L(x \ L(x,y,z),u,w) * L(a(x,a(x,y,z),v5),u,w) = L(L((L(x,y,z) \ x) \ 1,u,w),x,v5). L(x \ L(x,y,z),u,w) * a(x,a(x,y,z),v5) = L(L((L(x,y,z) \ x) \ 1,u,w),x,v5). L(x,y,z) * a(u,a(w,v5,v6),v7) != v8 | L(x * a(u,a(w,v5,v6),v7),y,z) = v8. L((x \ L(x,y,z)) * a(x,a(x,y,z),u),w,v5) = L(L((L(x,y,z) \ x) \ 1,w,v5),x,u). L(x * L(x \ a(x,a(x,y,z),u),y,z),w,v5) = L(L((L(x,y,z) \ x) \ 1,w,v5),x,u). L(x \ L(L(x,a(x,y,z),u),y,z),w,v5) = L(L((L(x,y,z) \ x) \ 1,w,v5),x,u). L(x \ L(L(x,a(x,y,z),u),y,z),w,v5) = L(L(x \ L(x,y,z),w,v5),x,u). L(x \ L(L(x,a(x,y,z),u),y,z),w,v5) != v6 | L(L(x \ L(x,y,z),w,v5),L(x,w,v5),u) = v6. L(L(x \ L(x,y,z),u,w),L(x,u,w),v5) = L(L(x \ L(x,y,z),u,w),x,v5). L(L(x \ L(x,y,z),u,w),L(x,u,w),y) != v5 | a(z,y,L(x,u,w)) \ 1 = v5. a(x,y,L(z,u,w)) \ 1 = L(L(z \ L(z,y,x),u,w),z,y). L(L(x \ L(x,y,z),u,w),x,y) = a(z,y,L(x,u,w)) \ 1. L(L(x \ L(x,y,z),u,w),x,y) != v5 | L(a(z,y,x) \ 1,u,w) = v5. L(a(x,y,z) \ 1,u,w) = a(x,y,L(z,u,w)) \ 1. L(a(x,y,z),u,w) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w)) = L(a(x,y,z),u,w). x \ y != a(z,u,L(w,v5,v6)) \ 1 | x * L(a(z,u,w) \ 1,v5,v6) = y. x * L(a(y,z,u) \ 1,w,v5) = a(y,z,L(u,w,v5)) \ x. x != L(a(y,z,u),w,v5) | a(y,z,u) * a(v5,w,a(y,z,u)) = x. a(x,y,z) * a(u,w,a(x,y,z)) = a(x,y,L(z,w,u)). x != L(a(y,z,u),w,v5) | R(a(y,z,u),w,v5) = x. R(a(x,y,z),u,w) = a(x,y,L(z,u,w)). a(x,y,L(z,u,w)) = R(a(x,y,z),u,w). x * y != L(a(z,u,w),v5,v6) | x \ a(z,u,L(w,v5,v6)) = y. a(x,y,z) \ a(x,y,L(z,u,w)) = a(w,u,a(x,y,z)). L(a(x,y,L(z,u,w)),u,w) = a(x,y,z). (L(a(x,y,z) \ (1 * a(x,y,L(z,u,w))),v5,v6) / (a(x,y,z) \ 1)) * L(a(x,y,z) \ 1,v5,v6) = (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,v5,v6),u,w). a(x,y,L(z,u,w)) \ a(x,y,z) = a(w,u,a(x,y,z)). L(a(x,y,L(z,u,w)) \ a(x,y,z),v5,v6) = a(w,u,a(x,y,z)). L(x,y,z * a(u,w,L(v5,v6,v7))) = L(x,y,a(u,w,v5) * z). L(x,y,a(z,u,L(w,v5,v6)) * v7) = L(x,y,a(z,u,w) * v7). L(x,y,a(z,u,L(w,v5,v6)) * v7) != v8 | L(x,y,a(z,u,w) * v7) = v8. a(x,y,L(z,u,w)) * L(a(x,y,z),v5,v6) = a(x,y,z) * L(L(a(x,y,z),v5,v6),u,w). a(x,L(a(y,z,u),w,v5),v6) != v7 | a(x,a(y,z,u),v6) = v7. L(a(x,y,z) \ 1,u,w) * a(x,y,L(z,v5,v6)) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). a(x,y,L(z,u,u)) * (1 / u) = a(x,y,z) / u. x \ a(y,z,L(z \ (x \ z),u,w)) = x \ L(L(x,z,y) \ x,u,w). x \ L(L(x,y,z) \ x,u,w) = x \ a(z,y,L(y \ (x \ y),u,w)). a(x,y,L(z,u,a(x,y,z) * (u * w))) \ w = u * ((u * a(x,y,z)) \ w). a(x,y,L(z,u,u * w)) \ w = (w / u) * (a(x,y,z) \ u). x != R(a(y,z,u),w,v5) | L(R(y \ R(y,z,u),w,v5),y,z) = x. L(R(x \ R(x,y,z),u,w),x,y) = a(x,y,L(z,u,w)). L(x,y,z) \ x = a(z,y,L(x,x,y)). a(x,y,L(z,z,y)) = L(z,y,x) \ z. L(a(x,y,z),u,w) != v5 | a(x,y,L(z,u,w)) = v5. a(x,y,L(L(z,u,w),u,w)) = a(x,y,z). a(x,y,L(L(z,z,y),u,w)) = L(L(z,y,x) \ z,u,w). x != y / T(z,z \ y) | z \ y = x. x \ a(y,z,u) = a(y,z,L(u,T(x,x \ a(y,z,u)),T(x,x \ a(y,z,u)))) * (1 / T(x,x \ a(y,z,u))). a(x,y,L(z,T(u,u \ a(x,y,z)),T(u,u \ a(x,y,z)))) * (1 / T(u,u \ a(x,y,z))) = u \ a(x,y,z). a(x,y,z) \ a(x,y,L(z,u,w)) != v5 | a(w,u,a(x,y,z)) = v5. x != a(y,z,a(u,w,v5)) | a(y,z,a(u,w,L(v5,v6,v7))) = x. a(x,y,a(z,u,L(w,v5,v6))) = a(z,u,w) \ a(z,u,L(w,y,x)). a(x,y,z) * a(u,w,a(x,y,z)) != v5 | v5 = a(x,y,L(z,w,u)). a(x,y,z) * a(u,w,a(x,y,z)) != v5 | a(x,y,L(z,w,u)) = v5. L(L(x \ R(x,y,z),u,w),x,y) = a(x,y,L(z,u,w)). L(x,y \ L(L(z,u,w) \ z,v5,v6),v7) = L(x,a(w,u,L(L(z,z,u),v5,v6)) * y,v7). L(x,a(y,z,L(L(u,u,z),w,v5)) * v6,v7) = L(x,v6 \ L(L(u,z,y) \ u,w,v5),v7). x \ R(x,y,L(z,u,w)) = L(x \ R(x,y,z),u,w). L(x \ R(x,y,z),u,w) = x \ R(x,y,L(z,u,w)). L(L(x \ R(x,y,z),u,w),x,y) != v5 | a(L(x,u,w),y,z) = v5. a(L(x,y,z),u,w) = a(x,u,L(w,y,z)). a((x * y) \ ((x * z) * y),u,w) = a(z,u,L(w,x,y)). x != a(y,z,L(u,w,v5)) | L(a(y,z,u),w,v5) = x. L(a(x,y,z),u,w) = a(L(x,u,w),y,z). a(L(x,y,z),u,w) = L(a(x,u,w),y,z). a(L(x,y,a(z,u,w) * v5),v6,v7) != v8 | a((y * (v5 * a(z,u,w))) \ ((a(z,u,w) \ v5) * (y * x)),v6,v7) = v8. a((x * (y * a(z,u,w))) \ ((a(z,u,w) \ y) * (x * v5)),v6,v7) = a(v5,v6,L(v7,x,a(z,u,w) * y)). a(L(x \ y,x,z),u,w) != v5 | a((x * z) \ (y * z),u,w) = v5. a((x * y) \ (z * y),u,w) = a(x \ z,u,L(w,x,y)). x \ a(y,z,L(z \ (x \ z),u,w)) = L(x,z,L(y,u,w)) \ 1. x \ y != L(z \ R(z,u,w),z,u) | x * a(z,u,w) = y. x * a(x,y,z) = R(x,y,L(z,x,y)). R(x,y,L(z,x,y)) = x * a(x,y,z). L(x,(y * a(y,z,u)) \ w,v5) = L(x,L(y,z,L(u,y,z)) \ w,v5). L(x,L(y,z,L(u,y,z)) \ w,v5) = L(x,(y * a(y,z,u)) \ w,v5). a(((a(x,y,z) * u) * w) \ (((u * v5) * a(x,y,z)) * w),v6,v7) = a(L(v5,u,a(x,y,z)),v6,L(v7,a(x,y,z) * u,w)). x * (T(y,x) * (a(z,u,w) \ 1)) = a(z,u,L(w,y,x)) \ (y * x). a(x,y,L(z,u,w)) \ (u * w) = w * (T(u,w) * (a(x,y,z) \ 1)). L(x,y,(z * L(u \ L(u,w,v5),v6,v7)) * v8) = L(x,y,a(v5,w,u) * (z * v8)). L(x,y,z * (u * a(w,v5,L(v6,v7,v8)))) = L(x,y,a(w,v5,v6) * (u * z)). L(x,y,a(z,u,L(w,v5,v6)) * L(w,v5,v6)) != v7 | L(x,y,L(L(w,u,z),v5,v6)) = v7. L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,a(w,u,z) * L(z,v5,v6)). L(x,y,a(z,u,w) * L(w,v5,v6)) = L(x,y,L(L(w,u,z),v5,v6)). L(a(x,y,a(z,u,w)),v5,v6) != v7 | a(x,y,a(z,u,w)) = v7. L(a(x,y,L(z,u,w)) \ a(x,y,z),v5,v6) != v7 | a(w,u,a(x,y,z)) = v7. a(L(x,y,z),u,w) != v5 | a(x,u,L(w,y,z)) = v5. x != L(y,(z * a(u,w,v5)) \ v6,v7) | L(y,(z \ v6) * a(u,w,v5),v7) = x. L(x,(y \ z) * a(y,u,w),v5) = L(x,L(y,u,L(w,y,u)) \ z,v5). L(x,L(y,z,L(u,y,z)) \ w,v5) = L(x,(y \ w) * a(y,z,u),v5). a(x,y,L(z,u,w)) \ (u * w) = w * (a(x,y,z) \ T(u,w)). a(x,y,L(z,u,w)) \ (u * w) = w * T(a(x,y,z) \ u,w). a(x,y,L(z,u,w)) \ (u * w) != v5 | (a(x,y,z) \ u) * w = v5. L(x,y,L(z \ L(z,u,w),v5,v6) * v7) != v8 | L(x,y,a(w,u,z) * v7) = v8. x != y \ a(z,u,L(u \ (y \ u),w,v5)) | L(y,u,L(z,w,v5)) \ 1 = x. L(x,y,L(z,u,w)) \ 1 = x \ L(L(x,y,z) \ x,u,w). x \ L(L(x,y,z) \ x,u,w) = L(x,y,L(z,u,w)) \ 1. x \ y != L(x,z,u) \ 1 | L(x,z,u) \ x = y. L(x,y,L(z,u,w)) \ x = L(L(x,y,z) \ x,u,w). L(L(x,y,z) \ x,u,w) = L(x,y,L(z,u,w)) \ x. L(L(x,y,z) \ x,u,w) * L(v5,x,a(x,y,L(z,u,w))) = x * (L(x,y,L(z,u,w)) \ v5). x \ L(L(L(x,y,z) \ x,u,w),v5,v6) = L(x,y,L(L(z,u,w),v5,v6)) \ 1. L(x,y,z * (R(u,u \ w,a(v5,v6,L(v7,v8,v9))) \ (w * a(v5,v6,L(v7,v8,v9))))) = L(x,y,a(v5,v6,v7) * ((u \ w) * z)). L(x,y,L(z,u,w) * (z \ (v5 * a(v6,v7,L(v8,v9,v10))))) = L(x,y,a(v6,v7,v8) * (v5 * L(z \ L(z,u,w),z,v5 * a(v6,v7,L(v8,v9,v10))))). L(x,y,a(z,u,w) * (v5 * L(v6 \ L(v6,v7,v8),v6,v5 * a(z,u,L(w,v9,v10))))) = L(x,y,L(v6,v7,v8) * (v6 \ (v5 * a(z,u,L(w,v9,v10))))). L(x,y,z * L(L(u,w,v5) \ u,v6,v7)) != v8 | L(x,y,a(v5,w,u) * z) = v8. L(L(L(x,y,z) \ x,u,w),v5,v6) * L(x \ L(x,v7,v8),x,L(L(L(x,y,z) \ x,u,w),v5,v6)) = L(x,v7,v8) * (L(x,y,L(L(z,u,w),v5,v6)) \ 1). L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))) = L(x,y,a(v6,v5,w) * (u * z)). x != L(y,z \ L(L(u,w,v5) \ u,v6,v7),v8) | L(y,z \ L(u * L(u,w,v5),v6,v7),v8) = x. L(x,y \ L(z * L(z,u,w),v5,v6),v7) = L(x,a(w,u,L(L(z,z,u),v5,v6)) * y,v7). L(x,a(y,z,L(L(u,u,z),w,v5)) * v6,v7) = L(x,v6 \ L(u * L(u,z,y),w,v5),v7). L(x,L(L(y,z,u) \ y,w,v5) * v6,v7) = L(x,v6 \ L(y * L(y,z,u),w,v5),v7). L(x,y \ L(z * L(z,u,w),v5,v6),v7) = L(x,L(L(z,u,w) \ z,v5,v6) * y,v7). x != L(y,L(L(z,u,w) \ z,v5,v6) * v7,v8) | L(y,a(w,u,z) * v7,v8) = x. L(x,a(y,z,u) * w,v5) = L(x,w \ L(u * L(u,z,y),v6,v7),v5). L(x,y \ L(z * L(z,u,w),v5,v6),v7) = L(x,a(w,u,z) * y,v7). L(x,y \ L(z * L(z,u,w),v5,v6),v7) != v8 | L(x,y \ L(z \ L(z,u,w),v5,v6),v7) = v8. L(x,y \ L(z \ L(z,u,w),v5,v6),v7) = L(x,a(w,u,z) * y,v7). a(x,y,L(z,u,w)) * a(x,y,L(z,v5,v6)) = a(x,y,z) * L(L(a(x,y,z),v5,v6),u,w). a(x,y,L(z,u,w)) * a(x,y,L(z,v5,v6)) = a(x,y,z) * L(a(x,y,L(z,v5,v6)),u,w). a(x,y,L(z,u,w)) * a(x,y,L(z,v5,v6)) = a(x,y,z) * a(x,y,L(L(z,v5,v6),u,w)). L(L(x,y,z) \ x,u,w) * L(v5,x,a(x,y,z)) = x * (L(x,y,L(z,u,w)) \ v5). L(L(x,y,z) \ x,u,w) * L(v5,x,a(x,y,z)) != v6 | L(x,u,w) * (L(L(x,u,w),y,z) \ v5) = v6. L(x,y,z) * (L(L(x,y,z),u,w) \ v5) = x * (L(x,u,L(w,y,z)) \ v5). T(x * (L(x,y,L(z,u,w)) \ v5),T(x,v5)) = L(L(x,u,w),y,z) \ (v5 * L(x,u,w)). L(L(x,y,z),u,w) \ (v5 * L(x,y,z)) != v6 | L(x,u,L(w,y,z)) \ (v5 * x) = v6. L(1 / x,y,L(z,u,w)) \ (x * (1 / x)) = x * L(x * (1 / L(x,y,z)),u,w). L(1 / x,y,L(z,u,w)) \ K(x,x \ 1) = x * L(x * (1 / L(x,y,z)),u,w). L(x \ 1,y,L(z,u,w)) \ 1 = x * L(x * (1 / L(x,y,z)),u,w). x * L(x * (1 / L(x,y,z)),u,w) = L(x \ 1,y,L(z,u,w)) \ 1. L(a(x,y,z),u,w) \ a(x,y,L(z,v5,v6)) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). a(x,y,L(z,u,u)) * (1 / T(u,u \ a(x,y,z))) = u \ a(x,y,z). a(x,y,L(z,u,u)) * (1 / T(u,u \ 1)) = u \ a(x,y,z). a(x,y,L(z,u,u)) * (u \ 1) = u \ a(x,y,z). (x \ a(y,z,u)) \ x = a(y,z,L(u,x,x)) \ (x * x). a(x,y,L(z,u,u)) \ (u * u) = (u \ a(x,y,z)) \ u. (a(x,y,z) \ u) * u = (u \ a(x,y,z)) \ u. (x \ a(y,z,u)) \ x = (a(y,z,u) \ x) * x. x != (a(y,z,u) \ w) * w | w * (a(y,z,u) \ w) = x. x * (a(y,z,u) \ x) = (x \ a(y,z,u)) \ x. (x \ a(y,z,u)) \ x = x * (a(y,z,u) \ x). x * L(y,x * (a(z,u,w) \ x),x \ a(z,u,w)) = (x \ a(z,u,w)) * (((x \ a(z,u,w)) \ x) * y). x * L(y,x * (a(z,u,w) \ x),x * a(z,u,w)) = (x \ a(z,u,w)) * (((x \ a(z,u,w)) \ x) * y). x * L(y,x * (a(z,u,w) * x),x * a(z,u,w)) = (x \ a(z,u,w)) * (((x \ a(z,u,w)) \ x) * y). x * L(y,L(a(z,u,w),x,x),x * a(z,u,w)) = (x \ a(z,u,w)) * (((x \ a(z,u,w)) \ x) * y). (x \ a(y,z,u)) * (((x \ a(y,z,u)) \ x) * w) = x * L(w,L(a(y,z,u),x,x),x * a(y,z,u)). (x \ a(y,z,u)) * (((x \ a(y,z,u)) \ x) * w) = x * L(w,a(y,z,u),x * a(y,z,u)). x != y * L(z,a(u,w,v5),y * a(u,w,v5)) | (y * a(u,w,v5)) * (a(u,w,v5) \ z) = x. (x * a(y,z,u)) * (a(y,z,u) \ w) = (x \ a(y,z,u)) * (((x \ a(y,z,u)) \ x) * w). (x \ a(y,z,u)) * (((x \ a(y,z,u)) \ x) * w) = (x * a(y,z,u)) * (a(y,z,u) \ w). ((x * a(y,z,u)) * (a(y,z,u) \ w)) \ (x * w) = a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w). a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w) = ((x * a(y,z,u)) * (a(y,z,u) \ w)) \ (x * w). x != ((y * z) * (z \ u)) \ (y * u) | a(y,z,z \ u) \ 1 = x. a(x,a(y,z,u),a(y,z,u) \ w) \ 1 = a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w). a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w) = a(x,a(y,z,u),a(y,z,u) \ w) \ 1. a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w) = a(x,a(y,z,u),a(y,z,u) * w) \ 1. x != a(y,a(z,u,w),v5) \ 1 | a(v5,a(z,u,w),y) = x. a(a(x,y,z) * u,a(x,y,z),w) = a(w \ a(x,y,z),(w \ a(x,y,z)) \ w,u). a(x \ a(y,z,u),(x \ a(y,z,u)) \ x,w) = a(a(y,z,u) * w,a(y,z,u),x). a(x \ a(y,z,u),x * (a(y,z,u) \ x),w) = a(a(y,z,u) * w,a(y,z,u),x). a(x,y * (a(z,u,w) \ v5),v6) != v7 | a(x,y * (a(z,u,w) * v5),v6) = v7. a(x \ a(y,z,u),x * (a(y,z,u) * x),w) = a(a(y,z,u) * w,a(y,z,u),x). a(x,y * (z * y),u) != w | a(x,L(z,y,y),u) = w. a(x \ a(y,z,u),L(a(y,z,u),x,x),w) = a(a(y,z,u) * w,a(y,z,u),x). a(x \ a(y,z,u),a(y,z,u),w) = a(a(y,z,u) * w,a(y,z,u),x). a(a(x,y,z) * u,a(x,y,z),w) != v5 | a(w * a(x,y,z),a(x,y,z),u) = v5. L(x,y,z * (L(u,u \ w,a(v5,v6,L(v7,v8,v9))) \ (w * a(v5,v6,L(v7,v8,v9))))) = L(x,y,a(v5,v6,v7) * ((u \ w) * z)). L(x,y,z * (u \ (w * a(v5,v6,L(v7,v8,v9))))) = L(x,y,a(v5,v6,v7) * ((u \ w) * z)). x \ (y \ (y * (x * a(x \ y,z,u)))) = a(y * x,z,u) * a(y,x,a(y * x,z,u)). a(x * y,z,u) * a(x,y,a(x * y,z,u)) = y \ (x \ (x * (y * a(y \ x,z,u)))). x != y \ (z \ (z * (y * u))) | u = x. a(x \ y,z,u) = a(y * x,z,u) * a(y,x,a(y * x,z,u)). a(x * y,z,u) * a(x,y,a(x * y,z,u)) = a(y \ x,z,u). a(x * y,z,L(u,y,x)) = a(y \ x,z,u). a(x * y,z,L(u,x,y)) = a(x \ y,z,u). a(x * ((y * z) * u),w,L(v5,x,u * (z * y))) = a(x \ (u * (z * y)),w,v5). a(x * (y * z),u,L(w,x,z * y)) = a(x \ (z * y),u,w). a(x * ((y * z) * a(u,w,v5)),v6,L(v7,x,(z * a(u,w,v5)) * y)) = a(x \ ((z * a(u,w,v5)) * y),v6,v7). a(x * ((y * z) * a(u,w,v5)),v6,L(v7,x,a(u,w,v5) * (z * y))) = a(x \ ((z * a(u,w,v5)) * y),v6,v7). a(x * ((y * z) * u),w,L(v5,x,u * (z * y))) != v6 | a(x \ (u * (z * y)),w,v5) = v6. a(x \ (a(y,z,u) * (w * v5)),v6,v7) = a(x \ ((w * a(y,z,u)) * v5),v6,v7). a(x \ ((y * a(z,u,w)) * v5),v6,v7) = a(x \ (a(z,u,w) * (y * v5)),v6,v7). x != a(y \ (a(z,u,w) * v5),v6,v7) | a((y \ v5) * a(z,u,w),v6,v7) = x. a((x \ (y * z)) * a(u,w,v5),v6,v7) = a(x \ ((y * a(u,w,v5)) * z),v6,v7). a(x \ ((y * a(z,u,w)) * v5),v6,v7) = a((x \ (y * v5)) * a(z,u,w),v6,v7). a(((a(x,y,z) * u) * w) \ (((u * v5) * a(x,y,z)) * w),v6,v7) != v8 | a(L(v5,u,a(x,y,z)),v6,L(v7,a(x,y,z) * u,w)) = v8. a(L(x,y,a(z,u,w)),v5,L(v6,a(z,u,w) * y,v7)) = a((((a(z,u,w) * y) * v7) \ ((y * x) * v7)) * a(z,u,w),v5,v6). a((((a(x,y,z) * u) * w) \ ((u * v5) * w)) * a(x,y,z),v6,v7) = a(L(v5,u,a(x,y,z)),v6,L(v7,a(x,y,z) * u,w)). a(x \ (y * z),u,w) = a((x \ ((a(v5,v6,v7) \ y) * z)) * a(v5,v6,v7),u,w). a((x \ ((a(y,z,u) \ w) * v5)) * a(y,z,u),v6,v7) = a(x \ (w * v5),v6,v7). x != L(y,z,u * (w \ (v5 * a(v6,v7,L(v8,v9,v10))))) | L(y,z,a(v6,v7,v8) * ((w \ v5) * u)) = x. L(x,y,a(z,u,w) * ((v5 \ v6) * L(v5,v7,v8))) = L(x,y,a(z,u,w) * (v6 * L(v5 \ L(v5,v7,v8),v5,v6 * a(z,u,L(w,v9,v10))))). L(x,y,a(z,u,w) * (v5 * L(v6 \ L(v6,v7,v8),v6,v5 * a(z,u,L(w,v9,v10))))) = L(x,y,a(z,u,w) * ((v6 \ v5) * L(v6,v7,v8))). L(x,y,z * (u * L(w \ L(w,v5,v6),v7,v8))) != v9 | L(x,y,a(v6,v5,w) * (u * z)) = v9. L(x,y,a(z,u,w) * (v5 * a(v6,v7,v8))) = L(x,y,a(v6,v7,v8) * ((w \ v5) * L(w,u,z))). L(x,y,a(z,u,w) * ((v5 \ v6) * L(v5,v7,v8))) = L(x,y,a(v8,v7,v5) * (v6 * a(z,u,w))). L(x,y,a(a(z,u,w),v5,v6) * ((v7 \ v8) * L(v7,v9,v10))) != v11 | L(x,y,v7 * (L(v7,v9,v10) \ v8)) = v11. L(x,y,z * (L(z,u,w) \ v5)) = L(x,y,a(w,u,z) * (v5 * a(a(v6,v7,v8),v9,v10))). L(x,y,a(z,u,w) * (v5 * a(a(v6,v7,v8),v9,v10))) = L(x,y,w * (L(w,u,z) \ v5)). L(x,y,a(z,u,w) * v5) = L(x,y,w * (L(w,u,z) \ v5)). L(x,y,z * (L(z,u,w) \ v5)) = L(x,y,a(w,u,z) * v5). L(x,y,z * L(u,w,v5)) = L(x,y,a(v5,w,u) * (z * u)). L(x,y,a(z,u,w) * (v5 * w)) = L(x,y,v5 * L(w,u,z)). L(x,y,z * (L(L(z,u,w),v5,v6) \ 1)) = L(x,y,a(w,u,z) * (L(L(z,u,w),v5,v6) \ L(z,u,w))). L(x,y,a(z,u,w) * (L(L(w,u,z),v5,v6) \ L(w,u,z))) = L(x,y,w * (L(L(w,u,z),v5,v6) \ 1)). x != L(y,z,u * (w \ 1)) | L(y,z,u * w) = x. L(x,y,z * L(L(z,u,w),v5,v6)) = L(x,y,a(w,u,z) * (L(L(z,u,w),v5,v6) \ L(z,u,w))). L(x,y,a(z,u,w) * (L(L(w,u,z),v5,v6) \ L(w,u,z))) = L(x,y,w * L(L(w,u,z),v5,v6)). L(x,y,a(z,u,w) * (L(w \ L(w,v5,v6),u,z) \ 1)) = L(x,y,w * L(L(w,u,z),v5,v6)). L(x,y,L(z \ L(z,u,w),v5,v6) * a(v6,v5,z)) = L(x,y,z * L(L(z,v5,v6),u,w)). L(x,y,a(z,u,w) * a(v5,v6,w)) = L(x,y,w * L(L(w,v6,v5),u,z)). L(x,y,a(z,u,w) * a(v5,v6,L(w,v7,v8))) = L(x,y,L(w,v7,v8) * L(L(L(w,v7,v8),v6,v5),u,z)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(v8,v7,z) * a(v6,v5,L(z,u,w))). x != L(y,z,a(u,w,v5) * v6) | L(y,z,(u \ R(u,w,v5)) * v6) = x. L(x,y,(z \ R(z,u,w)) * a(v5,v6,L(w,v7,v8))) = L(x,y,L(w,v7,v8) * L(L(L(w,v7,v8),v6,v5),u,z)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,(v8 \ R(v8,v7,z)) * a(v6,v5,L(z,u,w))). x != L(y,z,u * a(w,v5,L(v6,v7,v8))) | L(y,z,a(w,v5,v6) * u) = x. L(x,y,a(z,u,w) * a(v5,v6,w)) = L(x,y,L(w,v7,v8) * L(L(L(w,v7,v8),u,z),v6,v5)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(v6,v5,z) * a(v8,v7,z)). x != L(y,z,a(u,w,v5) * a(v6,v7,v5)) | L(y,z,v5 * L(L(v5,v7,v6),w,u)) = x. L(x,y,z * L(L(z,u,w),v5,v6)) = L(x,y,L(z,v7,v8) * L(L(L(z,v7,v8),v5,v6),u,w)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,z * L(L(z,v7,v8),v5,v6)). L(x,y,a(z,u,w) * (v5 \ R(v5,v6,w))) = L(x,y,L(w,v7,v8) * L(L(L(w,v7,v8),u,z),v6,v5)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(v6,v5,z) * (v8 \ R(v8,v7,z))). x != L(y,z,u * (w \ R(v5,v6,v7))) | L(y,z,u * (w \ L(v5,v6,v7))) = x. L(x,y,a(z,u,w) * (v5 \ L(v5,v6,w))) = L(x,y,L(w,v7,v8) * L(L(L(w,v7,v8),u,z),v6,v5)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(v6,v5,z) * (v8 \ L(v8,v7,z))). x != L(y,z,u * (w \ L(w,v5,v6))) | L(y,z,a(v6,v5,w) * u) = x. L(x,y,a(z,u,w) * a(v5,v6,z)) = L(x,y,L(z,v7,v8) * L(L(L(z,v7,v8),v6,v5),u,w)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) = L(x,y,a(z,v7,v8) * a(v6,v5,z)). L(x,y,L(z,u,w) * L(L(L(z,u,w),v5,v6),v7,v8)) != v9 | L(x,y,z * L(L(z,v7,v8),v5,v6)) = v9. L(x,y,z * L(L(z,u,w),v5,v6)) = L(x,y,a(z,u,w) * a(v6,v5,z)). L(x,y,a(z,u,w) * a(v5,v6,z)) = L(x,y,z * L(L(z,u,w),v6,v5)). L(x,y,a(z,u,w) * a(w,v5,v6)) = L(x,y,w * L(L(w,v5,v6),u,z)). L(x,y,a(z,u,w) * a(w,v5,v6)) = L(x,y,w * L(L(w,u,z),v5,v6)). ((x \ y) * a(z,x,a(u,w,v5))) \ (y * L(y \ ((x * a(u,w,a(z,x,v5))) \ y),z,a(u,w,v5))) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). L((x * L(L(x,y,z) \ x,u,w)) \ 1,L(x \ L(x,y,z),u,w) \ x,L(x \ a(z,y,a(w,u,x)),y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),x \ L(x \ L(x,y,z),w,u),a(z,y,x) * x) = 1 / (x \ L(x \ L(x,y,z),w,u)). L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),x \ L(x \ L(x,y,z),w,u),L(x,y,z)) = 1 / (x \ L(x \ L(x,y,z),w,u)). L(x,y \ L(z \ L(z,u,w),v5,v6),v7) != v8 | L(x,a(w,u,z) * y,v7) = v8. L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),a(z,y,x) * x,L(x,y,z)) = 1 / (x \ L(x \ L(x,y,z),w,u)). L(x,a(y,z,u) * u,w) != v5 | L(x,L(u,z,y),w) = v5. L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),L(x,y,z),L(x,y,z)) = 1 / (x \ L(x \ L(x,y,z),w,u)). L(x,L(y,z,u),L(y,z,u)) != w | L(x,y,y) = w. L(L(x \ 1,y,z) \ a(u,w,a(z,y,x)),x,x) = 1 / (x \ L(x \ L(x,y,z),w,u)). x * (x * (L(x,y,z) \ a(u,w,a(z,y,x)))) = 1 / (x \ L(x \ L(x,y,z),w,u)). x * L(L(x,y,z) \ x,u,w) = 1 / (x \ L(x \ L(x,y,z),u,w)). 1 / (x \ L(x \ L(x,y,z),u,w)) = x * L(L(x,y,z) \ x,u,w). (x * L(L(x,y,z) \ x,u,w)) \ 1 = x \ L(x \ L(x,y,z),u,w). L(L(L(x,y,z) \ x,u,w),v5,v6) * L(x \ L(x,v7,v8),x,a(z,y,x)) = L(x,v7,v8) * (L(x,y,L(L(z,u,w),v5,v6)) \ 1). L(L(L(x,y,z) \ x,u,w),v5,v6) * (x \ L(x,v7,v8)) = L(x,v7,v8) * (L(x,y,L(L(z,u,w),v5,v6)) \ 1). L(L(L(x,y,z) \ x,u,w),v5,v6) * (x \ L(x,v7,v8)) != v9 | L(x,y,L(L(z,u,w),v5,v6)) \ L(x,v7,v8) = v9. ((x \ y) * a(z,x,a(u,w,v5))) \ (y * L(y \ ((x \ y) * a(z,x,a(u,w,v5))),z,a(u,w,v5))) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). L(x \ L(x \ L(x,y,z),u,w),L(x \ L(x,y,z),u,w) \ x,L(x \ a(z,y,a(w,u,x)),y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(x \ L(x \ L(x,y,z),u,w),x * L(L(x,y,z) \ x,u,w),L(x \ a(z,y,a(w,u,x)),y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(x \ L(x \ L(x,y,z),u,w),x * L(L(x,y,z) \ x,u,w),L(x,y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(x \ L(x \ L(x,y,z),u,w),a(z,y,x) * x,L(x,y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(x \ L(x \ L(x,y,z),u,w),L(x,y,z),L(x,y,z)) = 1 / (L(x \ L(x,y,z),u,w) \ x). L(x \ L(x \ L(x,y,z),u,w),x,x) = 1 / (L(x \ L(x,y,z),u,w) \ x). (1 / x) * L(x \ L(x,y,z),u,w) = 1 / (L(x \ L(x,y,z),u,w) \ x). 1 / (L(x \ L(x,y,z),u,w) \ x) = (1 / x) * L(x \ L(x,y,z),u,w). x != (1 / y) * L(y \ L(y,z,u),w,v5) | L(y \ L(y,z,u),w,v5) / y = x. L(x \ L(x,y,z),u,w) / x = 1 / (L(x \ L(x,y,z),u,w) \ x). 1 / (L(x \ L(x,y,z),u,w) \ x) = L(x \ L(x,y,z),u,w) / x. 1 / (L(x \ L(x,y,z),u,w) \ x) != v5 | (x * L(x * (1 / L(x,y,z)),u,w)) \ 1 = v5. (x * L(x * (1 / L(x,y,z)),u,w)) \ 1 = L(x \ L(x,y,z),u,w) / x. (L(x \ 1,y,L(z,u,w)) \ 1) \ 1 = L(x \ L(x,y,z),u,w) / x. L(((x \ 1) \ 1) \ 1,y,L(z,u,w)) = L(x \ L(x,y,z),u,w) / x. L(1 / x,y,L(z,u,w)) = L(x \ L(x,y,z),u,w) / x. L(x \ L(x,y,z),u,w) / x = L(1 / x,y,L(z,u,w)). x / y != L(1 / y,z,u) | y \ L(y,z,u) = x. x \ L(x,y,L(z,u,w)) = L(x \ L(x,y,z),u,w). L(x \ L(x,y,z),u,w) = x \ L(x,y,L(z,u,w)). L(L(x,y,a(z,u,w)),y,w) = L(x,y,L(w,u,z)). L(x,y,a(z,u,w) * a(v5,v6,v7)) = L(x,y,L(a(z,u,w) * a(v5,v6,v7),v8,v9)). L(x,y,L(a(z,u,w) * a(v5,v6,v7),v8,v9)) = L(x,y,a(z,u,w) * a(v5,v6,v7)). x \ y != z \ L(z,u,L(w,v5,v6)) | x * L(z \ L(z,u,w),v5,v6) = y. x * L(x \ L(x,y,z),u,w) = L(x,y,L(z,u,w)). x * (L(x,y,z) \ L(x \ L(x,u,w),v5,v6)) = L(x,y,z) \ L(x,u,L(w,v5,v6)). L(L(x,y,a(y,x,z)),y,z) != u | a(z,y,x) \ x = u. a(x,y,z) \ z = L(z,y,L(x,z,y)). L(x,y,L(z,x,y)) = a(z,y,x) \ x. L(a(x,y,z) \ z,u,w) = L(L(z,u,w),y,L(x,z,y)). L(L(x,y,z),u,L(w,x,u)) = L(a(w,u,x) \ x,y,z). L(x,y,z) * L(x \ (a(u,w,x) \ x),y,z) = L(L(x,y,z),w,L(u,x,w)). L(L(x,y,z),u,L(w,x,u)) = L(x,y,z) * L(x \ (a(w,u,x) \ x),y,z). L(x,(a(y,z,u) \ u) \ w,v5) = L(x,(u \ w) * a(u,z,y),v5). x * L(x \ L(x,y,z),u,w) != v5 | (L(x,u,w) \ x) * L(L(x,y,z),u,w) = v5. (L(x,y,z) \ x) * L(L(x,u,w),y,z) = L(x,u,L(w,y,z)). ((L(x,y,z) \ x) \ 1) \ L(x,u,L(w,y,z)) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = ((L(x,y,z) \ x) \ 1) \ L(x,u,L(w,y,z)). L(x,(a(y,z,u) \ w) \ v5,v6) != v7 | L(x,(w \ v5) * a(y,z,u),v6) = v7. L(x,(y \ z) * a(u,w,y),v5) = L(x,(y \ z) * a(y,w,u),v5). L(x,(y \ z) * a(u,w,y),v5) != v6 | L(x,L(y,w,u) \ z,v5) = v6. L(x,L(y,z,u) \ w,v5) = L(x,(y \ w) * a(y,z,u),v5). L(x,(y \ z) * a(y,u,w),v5) = L(x,L(y,u,w) \ z,v5). L(x,y * a(z,u,w),v5) = L(x,L(z,u,w) \ (z * y),v5). L(x,L(y,z,u) \ (y * w),v5) = L(x,w * a(y,z,u),v5). L(x,y * (L(y,z,u) \ w),v5) = L(x,w * a(y,z,u),v5). L(x,a(y,z,u) * w,v5) = L(x,w * a(u,z,y),v5). L(x,a(y,z,u) * w,a(v5,v6,v7)) = L(x,w * a(u,z,y),a(v7,v6,v5)). L(L(x,y,z),u,L(w,x,u)) = L(x,y,z) * L(a(w,u,x) \ 1,y,z). x != y * L(a(z,u,w) \ 1,v5,v6) | a(z,u,L(w,v5,v6)) \ y = x. a(x,y,L(z,u,w)) \ L(z,u,w) = L(L(z,u,w),y,L(x,z,y)). L(L(x,y,z),u,L(w,x,u)) = a(w,u,L(x,y,z)) \ L(x,y,z). L(L(x,y,z),u,L(w,x,u)) != v5 | L(a(w,u,x) \ x,y,z) = v5. L(a(x,y,z) \ z,u,w) = a(x,y,L(z,u,w)) \ L(z,u,w). a(x,y,L(z,u,w)) \ L(z,u,w) = L(a(x,y,z) \ z,u,w). x \ y != a(z,u,L(w,v5,v6)) \ L(w,v5,v6) | x * L(a(z,u,w) \ w,v5,v6) = y. (a(x,y,L(z,u,w)) * a(x,y,L(z,u,w))) * L(a(x,y,z) \ z,u,w) = (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w). x != L(y,z,a(u,w,v5) * a(v6,v7,v8)) | L(L(y,z,a(v6,v7,v8)),z * a(v6,v7,v8),a(u,w,v5)) = x. L(L(x,y,a(z,u,w)),y * a(z,u,w),a(v5,v6,v7)) = L(x,y,L(a(v5,v6,v7) * a(z,u,w),v8,v9)). x * L(L(x,y,z) \ 1,u,w) = L(x,y,z) \ L(x,u,L(w,y,z)). L(x,y,z) \ L(x,u,L(w,y,z)) = x * L(L(x,y,z) \ 1,u,w). L(L(x,y,a(z,u,w)),u * a(z,y,w),a(v5,v6,v7)) != v8 | L(x,u,a(v5,v6,v7) * a(z,y,w)) = v8. ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = (x \ L(x,y,z)) \ L(x,u,L(w,y,z)). x != (y \ L(y,z,u)) \ w | (L(y,z,u) \ y) * w = x. (L(x,y,z) \ x) * L(x,u,L(w,y,z)) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = (L(x,y,z) \ x) * L(x,u,L(w,y,z)). x != (L(y,z,u) \ y) * L(y,w,v5) | y * (L(y,z,u) \ L(y,w,v5)) = x. x * (L(x,y,z) \ L(x,u,L(w,y,z))) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = x * (L(x,y,z) \ L(x,u,L(w,y,z))). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = x * (x * L(L(x,y,z) \ 1,u,w)). x != y * (y * L(z,u,w)) | L(y * (y * z),u,w) = x. L(x * (x * (L(x,y,z) \ 1)),u,w) = ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = L(x * (x * (L(x,y,z) \ 1)),u,w). ((L(x,y,z) \ x) * (L(x,y,z) \ x)) * L(L(x,u,w),y,z) = L(x * (L(x,y,z) \ x),u,w). (a(x,y,z) * a(x,y,z)) * L(L(z,u,w),y,x) = L(z * (L(z,y,x) \ z),u,w). L((a(x,y,z) * a(x,y,z)) * L(z,u,w),y,x) = L(z * (L(z,y,x) \ z),u,w). L(L((a(x,y,z) * a(x,y,z)) * z,u,w),y,x) = L(z * (L(z,y,x) \ z),u,w). L(L(x * (a(y,z,x) * a(y,z,x)),u,w),z,y) = L(x * (L(x,z,y) \ x),u,w). L(L(x * (L(x,y,z) \ x),u,w),y,z) = L(x,u,w). x != L(y \ 1,z,u) | L(L(y \ 1,z,u),w,a(v5,v6,y)) = x. L(L(x \ 1,y,z),u,a(w,v5,x)) = L(L((x \ 1) * (L(x \ 1,v6,v7) \ (x \ 1)),y,z),v6,v7). L(L(x \ 1,y,z),u,a(w,v5,x)) = L(L((x \ 1) * (L(x,v6,v7) \ x),y,z),v6,v7). L(L(x \ 1,y,z),u,a(w,v5,x)) = L(L(L(x,v6,v7) \ 1,y,z),v6,v7). L(L(L(x,y,z) \ 1,u,w),y,z) = L(L(x \ 1,u,w),v5,a(v6,v7,x)). L(x,y,z) != L(L(u \ 1,y,z),w,a(v5,v6,u)) | u \ 1 = x. x \ 1 = L(L(x,y,z) \ 1,y,z). L(L(x,y,z) \ 1,y,z) = x \ 1. L(((x * y) \ z) \ 1,y,x) = (y \ (x \ z)) \ 1. L(T(x,y * z) \ 1,z,y) = (z \ (y \ (x * (y * z)))) \ 1. (x \ (y \ (z * (y * x)))) \ 1 = L(T(z,y * x) \ 1,x,y). L(L(T(x,y * z) \ 1,z,y) \ (T(x,y * z) \ z),z \ (y \ (x * (y * z))),z \ (y \ (x * (y * z)))) = (y \ (x * (y * z))) / T(x,y * z). (a(x,y,z) * a(x,y,L(L(z,u,w),u,w))) * L(a(x,y,z) \ z,u,w) = (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w). (a(x,y,z) * a(x,y,z)) * L(a(x,y,z) \ z,u,w) = (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w). (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w) = (a(x,y,z) * a(x,y,z)) * L(a(x,y,z) \ z,u,w). L((a(x,y,z) * a(x,y,z)) * (a(x,y,z) \ z),u,w) = (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w). L((a(x,y,z) \ 1) \ z,u,w) = (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w). (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w) = L((a(x,y,z) \ 1) \ z,u,w). (a(x,y,L(z,u,w)) \ 1) \ L(z,u,w) = L(z * a(x,y,z),u,w). L(x,y,z) * a(u,w,L(x,y,z)) = L(x * a(u,w,x),y,z). ((x \ y) * a(z,x,a(u,w,v5))) \ (y * L((y \ (x \ y)) * a(z,x,a(u,w,v5)),z,a(u,w,v5))) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). L(T(x,y * z) \ (L(1 / T(x,y * z),z,y) \ z),z \ (y \ (x * (y * z))),z \ (y \ (x * (y * z)))) = (y \ (x * (y * z))) / T(x,y * z). (((x \ y) * a(z,x,a(u,w,v5))) \ (y * L(y \ (x \ y),z,a(u,w,v5)))) * a(z,x,a(u,w,v5)) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). L(x \ (L(1 / x,y,z) \ y),y \ (z \ (x * (z * y))),y \ (z \ (x * (z * y)))) = (z \ (x * (z * y))) / T(x,z * y). L(x,y,z \ (u \ (w * (u * z)))) != v5 | L(x,y,L(w,z,u)) = v5. L(x \ (L(1 / x,y,z) \ y),y \ (z \ (x * (z * y))),L(x,y,z)) = (z \ (x * (z * y))) / T(x,z * y). L(x,y \ (z \ (u * (z * y))),w) != v5 | L(x,L(u,y,z),w) = v5. L(x \ (L(1 / x,y,z) \ y),L(x,y,z),L(x,y,z)) = (z \ (x * (z * y))) / T(x,z * y). L(x \ (L(1 / x,y,z) \ y),x,x) = (z \ (x * (z * y))) / T(x,z * y). (1 / x) * (L(1 / x,y,z) \ y) = (z \ (x * (z * y))) / T(x,z * y). (x \ (y * (x * z))) / T(y,x * z) = (1 / y) * (L(1 / y,z,x) \ z). x != y * (L(y,z,u) \ z) | a(u,z,y) * z = x. a(x,y,1 / z) * y = (x \ (z * (x * y))) / T(z,x * y). (x \ (y * (x * z))) / T(y,x * z) = a(x,z,1 / y) * z. (x \ (y * (x * z))) / T(y,x * z) = a(x,z,y) * z. (x \ ((y * K(z,u)) * (x * w))) / T(y * K(z,u),x * w) = a(x,w,y) * w. (x \ ((x * y) * z)) / T(z * K(x * y,z),x * y) = a(x,y,z) * y. (x \ ((x * y) * z)) / z = a(x,y,z) * y. x * y != a(z,u,w) * u | x \ ((z \ ((z * u) * w)) / w) = y. x \ ((y \ ((y * x) * z)) / z) = a(y,x,z). a(x,y,z) = y \ ((x \ ((x * y) * z)) / z). a((x \ 1) \ ((y \ ((y * x) * z)) / z),u,w) = a(a(y,x,z),u,w). L(x,y,a(z,u \ 1,w)) = L(x,y,u \ ((z \ ((z * (u \ 1)) * w)) / w)). L(x,y,z \ ((u \ ((u * (z \ 1)) * w)) / w)) = L(x,y,a(u,z \ 1,w)). a((x \ 1) \ (y \ (z \ ((z * x) * y))),u,w) = a(a(z,x,y),u,w). L(x,y,z \ ((u \ ((u * (z \ 1)) * w)) / w)) = L(x,y,a(u,z,w)). L(x,y,z \ (u \ (w \ ((w * (z \ 1)) * u)))) = L(x,y,a(w,z,u)). (((x \ y) * a(z,x,a(u,w,v5))) \ (L(x,z,a(u,w,v5)) \ y)) * a(z,x,a(u,w,v5)) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). (((x \ y) \ (L(x,z,a(u,w,v5)) \ y)) * a(u,w,a(z,x,v5))) * a(z,x,a(u,w,v5)) = (x * a(u,w,a(z,x,v5))) \ L(x,a(u,w,v5),z). ((x \ (y * (L(y,z,a(u,w,v5)) \ x))) * a(u,w,a(z,y,v5))) * a(z,y,a(u,w,v5)) = (y * a(u,w,a(z,y,v5))) \ L(y,a(u,w,v5),z). ((x \ (x * a(y,z,a(u,w,v5)))) * a(y,z,a(w,u,v5))) * a(w,u,a(y,z,v5)) = (u * a(y,z,a(w,u,v5))) \ L(u,a(y,z,v5),w). (a(x,y,a(z,u,w)) * a(x,y,a(u,z,w))) * a(u,z,a(x,y,w)) = (z * a(x,y,a(u,z,w))) \ L(z,a(x,y,w),u). (L(a(x,y,z) \ a(x,y,L(z,u,w)),v5,v6) / (a(x,y,z) \ 1)) * L(a(x,y,z) \ 1,v5,v6) = (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,v5,v6),u,w). (L(a(x,y,a(z,u,w)),v5,v6) / (a(z,u,w) \ 1)) * L(a(z,u,w) \ 1,v5,v6) = (a(z,u,w) \ 1) \ L(L(a(z,u,w) \ 1,v5,v6),y,x). (a(x,y,a(z,u,w)) / (a(z,u,w) \ 1)) * L(a(z,u,w) \ 1,v5,v6) = (a(z,u,w) \ 1) \ L(L(a(z,u,w) \ 1,v5,v6),y,x). (a(x,y,a(z,u,w)) * a(z,u,w)) * L(a(z,u,w) \ 1,v5,v6) = (a(z,u,w) \ 1) \ L(L(a(z,u,w) \ 1,v5,v6),y,x). L(a(x,y,z),u,w) * L(a(x,y,z) \ 1,v5,v6) = (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,v5,v6),u,w). (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,u,w),v5,v6) = L(a(x,y,z),v5,v6) * L(a(x,y,z) \ 1,u,w). (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,u,w),v5,v6) = a(x,y,L(z,v5,v6)) * L(a(x,y,z) \ 1,u,w). a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,u,w),v5,v6). (a(x,y,z) \ 1) \ L(L(a(x,y,z) \ 1,u,w),v5,v6) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). (x \ y) \ L(L(x \ y,z,u),w,v5) != v6 | x \ (y * L(L(y \ x,z,u),w,v5)) = v6. a(x,y,z) \ (1 * L(L(1 \ a(x,y,z),u,w),v5,v6)) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). a(x,y,z) \ (1 * L(L(a(x,y,z),u,w),v5,v6)) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). a(x,y,z) \ (1 * L(a(x,y,L(z,u,w)),v5,v6)) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). a(x,y,z) \ (1 * a(x,y,L(L(z,u,w),v5,v6))) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)). a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)). a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) != v7 | a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)) = v7. a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,w)) = a(z,u,w) \ a(z,u,L(L(w,v6,v5),y,x)). a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = a(v6,v5,a(x,y,z)) * a(w,u,a(x,y,z)). (x \ ((y \ ((y * x) * z)) * L((y \ ((y * x) * z)) \ x,u,w))) \ v5 = v5 * (L(z * a(y,x,z),u,w) \ (L(x,z,a(y,x,z)) \ (y \ ((y * x) * z)))). x * (L(y * a(z,u,y),w,v5) \ (L(u,y,a(z,u,y)) \ (z \ ((z * u) * y)))) = (u \ ((z \ ((z * u) * y)) * L((z \ ((z * u) * y)) \ u,w,v5))) \ x. x * (L(y * a(z,u,y),w,v5) \ (L(u,y,a(z,u,y)) \ (z \ ((z * u) * y)))) = (u \ (z \ ((z * u) * (y \ L(y,w,v5))))) \ x. x * (L(y * a(z,u,y),w,v5) \ (L(u,y,a(z,u,y)) \ (z \ ((z * u) * y)))) = (L(L(y,w,v5) \ y,u,z) \ 1) \ x. x != (L(L(y,z,u) \ y,w,v5) \ 1) \ v6 | L(L(y,z,u) \ y,w,v5) * v6 = x. L(L(x,y,z) \ x,u,w) * v5 = v5 * (L(x * a(w,u,x),y,z) \ (L(u,x,a(w,u,x)) \ (w \ ((w * u) * x)))). x * (L(y * a(z,u,y),w,v5) \ (L(u,y,a(z,u,y)) \ (z \ ((z * u) * y)))) = L(L(y,w,v5) \ y,u,z) * x. x * (L(y * a(z,u,y),w,v5) \ (y * a(z,u,y))) = L(L(y,w,v5) \ y,u,z) * x. x * (L(y * a(z,u,y),w,v5) \ (y * a(z,u,y))) != v6 | (y * (a(z,u,y) \ L(y \ a(z,u,y),w,v5))) \ x = v6. (x * (a(y,z,x) \ L(x \ a(y,z,x),u,w))) \ v5 = L(L(x,u,w) \ x,z,y) * v5. x != (y * (a(z,u,y) \ L(y \ a(z,u,y),w,v5))) \ 1 | L(L(y,w,v5) \ y,u,z) = x. L(L(x,y,z) \ x,u,w) = L(x * a(w,u,x),y,z) \ (a(w,u,x) * x). L(x * a(y,z,x),u,w) \ (a(y,z,x) * x) = L(L(x,u,w) \ x,z,y). L(x * a(y,z,u),w,v5) \ (a(y,z,u) * x) != v6 | a(y,z,u) \ (L(a(y,z,u) \ x,w,v5) \ x) = v6. a(x,y,z) \ (L(a(x,y,z) \ z,u,w) \ z) = L(L(z,u,w) \ z,y,x). 1 \ L(L(x,y,z) \ x,u,w) = x \ (L(a(w,u,x) / x,y,z) \ a(w,u,x)). x \ (L(a(y,z,x) / x,u,w) \ a(y,z,x)) = 1 \ L(L(x,u,w) \ x,z,y). L(L(x,y,z) \ x,u,w) = x \ (L(a(w,u,x) / x,y,z) \ a(w,u,x)). x \ (L(a(y,z,x) / x,u,w) \ a(y,z,x)) = L(L(x,u,w) \ x,z,y). L(L(L(x,y,z) \ x,u,w),x * a(w,u,x),z * y) = a(z,y,x * a(w,u,x)). L(x,y * a(z,u,y),w) != v5 | L(x,L(y,u,z),w) = v5. L(L(L(x,y,z) \ x,u,w),L(x,u,w),z * y) = a(z,y,x * a(w,u,x)). L(L(L(x,y,z) \ x,u,w),L(x,u,w),z * y) != v5 | a(z,y,L(x,u,w)) = v5. a(x,y,L(z,u,w)) = a(x,y,z * a(w,u,z)). a(x,y,z * a(u,w,z)) = a(x,y,L(z,w,u)). L(x,y,L(L(z * a(u,w,z),v5,v6),a(v7,v8,v9),v10)) = L(x,y,a(v6,v5,L(z,w,u)) * (z * a(u,w,z))). x != L(y,z,u * (w * a(v5,v6,v7))) | L(y,z,w * (a(v5,v6,v7) * u)) = x. L(x,y,z * (a(u,w,z) * a(v5,v6,L(z,w,u)))) = L(x,y,L(L(z * a(u,w,z),v6,v5),a(v7,v8,v9),v10)). L(x,y,L(L(z * a(u,w,z),v5,v6),a(v7,v8,v9),v10)) = L(x,y,z * (a(u,w,z) * a(v6,v5,L(z,w,u)))). x != L(y,z,u * (w * a(v5,v6,L(v7,v8,v9)))) | L(y,z,a(v5,v6,v7) * (w * u)) = x. L(x,y,a(z,u,w) * (a(v5,v6,w) * w)) = L(x,y,L(L(w * a(v5,v6,w),u,z),a(v7,v8,v9),v10)). L(x,y,L(L(z * a(u,w,z),v5,v6),a(v7,v8,v9),v10)) = L(x,y,a(v6,v5,z) * (a(u,w,z) * z)). x != L(y,z,a(u,w,v5) * (v6 * v5)) | L(y,z,v6 * L(v5,w,u)) = x. L(x,y,a(z,u,w) * L(w,v5,v6)) = L(x,y,L(L(w * a(z,u,w),v5,v6),a(v7,v8,v9),v10)). L(x,y,L(L(z * a(u,w,z),v5,v6),a(v7,v8,v9),v10)) = L(x,y,a(u,w,z) * L(z,v5,v6)). x != L(y,z,a(u,w,v5) * L(v5,v6,v7)) | L(y,z,L(L(v5,w,u),v6,v7)) = x. L(x,y,L(L(z,u,w),v5,v6)) = L(x,y,L(L(z * a(w,u,z),v5,v6),a(v7,v8,v9),v10)). L(x,y,L(L(z * a(u,w,z),v5,v6),a(v7,v8,v9),v10)) = L(x,y,L(L(z,w,u),v5,v6)). L(x,y,L(z * a(u,w,z),v5,v6)) = L(x,y,L(L(z,w,u),v5,v6)). a(L(x,x,L(L(y,z,u),w,v5)) * L(y * a(u,z,y),w,v5),v6,v7) = a(x \ L(y * a(u,z,y),w,v5),v6,v7). a(x * L(y * a(z,u,y),w,v5),v6,v7) != v8 | a(x * L(L(y,u,z),w,v5),v6,v7) = v8. a(L(x,x,L(L(y,z,u),w,v5)) * L(L(y,z,u),w,v5),v6,v7) = a(x \ L(y * a(u,z,y),w,v5),v6,v7). a(L(x,x,y) * y,z,u) != w | a(x \ y,z,u) = w. a(x \ L(L(y,z,u),w,v5),v6,v7) = a(x \ L(y * a(u,z,y),w,v5),v6,v7). a(x \ L(y * a(z,u,y),w,v5),v6,v7) = a(x \ L(L(y,u,z),w,v5),v6,v7). ((a(x,a(y,z,u),w) \ v5) * (L(v6,a(x,a(y,z,u),w),v5) * v7)) \ ((v5 * ((a(x,a(y,z,u),w) \ 1) * v6)) * v7) = a(v5 * (a(x,a(y,z,u),w) \ 1),L(v6,a(x,a(y,z,u),w) \ 1,v5),v7). ((a(x,a(y,z,u),w) \ v5) * (v6 * v7)) \ ((v5 * ((a(x,a(y,z,u),w) \ 1) * v6)) * v7) = a(v5 * (a(x,a(y,z,u),w) \ 1),L(v6,a(x,a(y,z,u),w) \ 1,v5),v7). (x * (a(y,a(z,u,w),v5) \ (v6 * v7))) \ ((x * ((a(y,a(z,u,w),v5) \ 1) * v6)) * v7) = a(x * (a(y,a(z,u,w),v5) \ 1),L(v6,a(y,a(z,u,w),v5) \ 1,x),v7). (x * (y * (a(z,a(u,w,v5),v6) \ v7))) \ ((x * ((a(z,a(u,w,v5),v6) \ 1) * y)) * v7) = a(x * (a(z,a(u,w,v5),v6) \ 1),L(y,a(z,a(u,w,v5),v6) \ 1,x),v7). (x * (y * (a(z,a(u,w,v5),v6) \ v7))) \ ((x * (a(z,a(u,w,v5),v6) \ y)) * v7) = a(x * (a(z,a(u,w,v5),v6) \ 1),L(y,a(z,a(u,w,v5),v6) \ 1,x),v7). (x * (y * (a(z,a(u,w,v5),v6) \ v7))) \ ((x * y) * (a(z,a(u,w,v5),v6) \ v7)) = a(x * (a(z,a(u,w,v5),v6) \ 1),L(y,a(z,a(u,w,v5),v6) \ 1,x),v7). a(x,y,a(z,a(u,w,v5),v6) \ v7) = a(x * (a(z,a(u,w,v5),v6) \ 1),L(y,a(z,a(u,w,v5),v6) \ 1,x),v7). a(x * (a(y,a(z,u,w),v5) \ 1),L(v6,a(y,a(z,u,w),v5) \ 1,x),v7) = a(x,v6,a(y,a(z,u,w),v5) \ v7). x != a(y,z,a(u,w,v5) \ v6) | a(y,z,a(u,w,v5) * v6) = x. a(x,y,a(z,a(u,w,v5),v6) * v7) = a(x * (a(z,a(u,w,v5),v6) \ 1),L(y,a(z,a(u,w,v5),v6) \ 1,x),v7). a(x * (a(y,a(z,u,w),v5) \ 1),L(v6,a(y,a(z,u,w),v5) \ 1,x),v7) = a(x,v6,a(y,a(z,u,w),v5) * v7). a(a(x,a(y,z,u),w) \ v5,L(v6,a(x,a(y,z,u),w) \ 1,v5),v7) = a(v5,v6,a(x,a(y,z,u),w) * v7). a(a(x,a(y,z,u),w) \ v5,L(v6,a(x,a(y,z,u),w),v5),v7) = a(v5,v6,a(x,a(y,z,u),w) * v7). a(a(x,a(y,z,u),w) \ v5,v6,v7) = a(v5,v6,a(x,a(y,z,u),w) * v7). a(a(x,a(y,z,u),w) * v5,v6,v7) = a(v5,v6,a(x,a(y,z,u),w) * v7). x != a(y,z,a(u,a(w,v5,v6),v7) * v8) | a(y,z,v8) = x. a(x,y,z) = a(a(u,a(w,v5,v6),v7) * x,y,z). a(a(x,a(y,z,u),w) * v5,v6,v7) = a(v5,v6,v7). a(x * (y * a(z,a(u,w,v5),v6)),v7,v8) = a(x * y,v7,v8). a(x * (L(y,a(z,u,w),v5) \ v6),v7,v8) = a(x * (y \ v6),v7,v8). a(x * (a(y,z,u) * (w \ v5)),v6,v7) = a(x * ((a(y,z,u) \ w) \ v5),v6,v7). a(x * ((a(y,z,u) \ w) \ v5),v6,v7) = a(x * (a(y,z,u) * (w \ v5)),v6,v7). a(K(x \ y,x) * ((a(z,u,w) \ v5) \ v6),v7,v8) != v9 | a((v5 * T(a(z,u,w) * K(x,x \ y),y)) \ v6,v7,v8) = v9. a((x * T(a(y,z,u) * K(w,w \ v5),v5)) \ v6,v7,v8) = a(K(w \ v5,w) * (a(y,z,u) * (x \ v6)),v7,v8). a(a(x,y,z) * (u \ w),v5,v6) = a((u * T(a(x,y,z) * K(v7,v7 \ v8),v8)) \ w,v5,v6). a((x * T(a(y,z,u) * K(w,w \ v5),v5)) \ v6,v7,v8) = a(a(y,z,u) * (x \ v6),v7,v8). a((x * a(y,z,u)) \ w,v5,v6) = a(a(y,z,u) * (x \ w),v5,v6). a((a(x,y,z) * u) \ w,v5,v6) = a(a(x,y,z) * (u \ w),v5,v6). a((x * a(y,z,u)) \ w,v5,v6) != v7 | a((a(y,z,u) \ x) \ w,v5,v6) = v7. a((a(x,y,z) \ u) \ w,v5,v6) = a(a(x,y,z) * (u \ w),v5,v6). a((R(x,a(y,z,u) \ w,a(y,z,u)) * w) \ v5,v6,v7) = a(a(y,z,u) * ((x * (w / a(y,z,u))) \ v5),v6,v7). a((a(x,y,z) * (u * (a(w,v5,v6) * v7))) \ v8,v9,v10) != v11 | a((a(x,y,z) \ (u * (a(w,v5,v6) \ v7))) \ v8,v9,v10) = v11. a((a(x,y,z) \ (u * (a(w,v5,v6) \ v7))) \ v8,v9,v10) = a(a(x,y,z) * ((u * (a(w,v5,v6) * v7)) \ v8),v9,v10). a((a(x,y,z) \ u) \ w,v5,v6) != v7 | a(a(x,y,z) * (u \ w),v5,v6) = v7. a(a(x,y,z) * ((u * (a(w,v5,v6) \ v7)) \ v8),v9,v10) = a(a(x,y,z) * ((u * (a(w,v5,v6) * v7)) \ v8),v9,v10). a((R(x,y,a(z,u,w)) * v5) \ v6,v7,v8) != v9 | a((x * v5) \ v6,v7,v8) = v9. a((x * y) \ z,u,w) = a(a(v5,v6,v7) * ((x * (y / a(v5,v6,v7))) \ z),u,w). a(a(x,y,z) * ((u * (w / a(x,y,z))) \ v5),v6,v7) = a((u * w) \ v5,v6,v7). a(a(x,y,z) * ((u * w) \ v5),v6,v7) = a((u * (w * a(x,y,z))) \ v5,v6,v7). a((x * (y * a(z,u,w))) \ v5,v6,v7) = a(a(z,u,w) * ((x * y) \ v5),v6,v7). a(a(x,y,z) * ((u * (a(x,y,z) \ w)) \ v5),v6,v7) = a((u * w) \ v5,v6,v7). a((x * (y * a(z,u,w))) \ v5,v6,v7) != v8 | a(((x * y) \ v5) * a(z,u,w),v6,v7) = v8. a(a(x,y,z) * ((u * (a(w,v5,v6) \ v7)) \ v8),v9,v10) != v11 | a(a(x,y,z) * ((u * (a(w,v5,v6) * v7)) \ v8),v9,v10) = v11. a(a(x,y,z) * ((u * (a(x,y,z) * w)) \ v5),v6,v7) = a((u * w) \ v5,v6,v7). a(a(x,y,z) * ((u * (a(x,y,z) * T(w,K(v5,v6) * u))) \ v7),v8,v9) = a((T(w,K(v6,v5)) * u) \ v7,v8,v9). a(((x * y) \ ((a(z,u,w) \ y) * (x * v5))) * a(z,u,w),v6,v7) = a(v5,v6,L(v7,x,a(z,u,w) * y)). a((x \ ((a(y,z,u) \ w) * v5)) * a(y,z,u),v6,v7) != v8 | a(x \ (w * v5),v6,v7) = v8. a((x * y) \ (y * (x * z)),u,w) = a(z,u,L(w,x,a(v5,v6,v7) * y)). a(L(K(x,y) * z,y,x),u,w) = a(z,u,L(w,y,a(v5,v6,v7) * x)). a(K(x,y) * z,u,L(w,y,x)) = a(z,u,L(w,y,a(v5,v6,v7) * x)). a(x,y,L(z,u,w)) = a(x,y,L(z,u,a(v5,v6,v7) * w)). a(x,y,L(z,u,a(w,v5,v6) * v7)) = a(x,y,L(z,u,v7)). a(x,y,L(z,u,u * w)) \ w = u * ((u * a(x,y,z)) \ w). a(x,y,L(z,u,u * w)) \ w != v5 | (w / u) * (a(x,y,z) \ u) = v5. (x / y) * (a(z,u,w) \ y) = y * ((y * a(z,u,w)) \ x). ((x * y) / y) * (a(z,u,w) \ y) = y * L(a(z,u,w) \ T(x,y),a(z,u,w),y). x * L(a(y,z,u) \ T(w,x),a(y,z,u),x) = ((w * x) / x) * (a(y,z,u) \ x). x * L(a(y,z,u) \ T(w,x),a(y,z,u),x) = w * (a(y,z,u) \ x). x * L(T(a(y,z,u) \ w,x),a(y,z,u),x) = w * (a(y,z,u) \ x). x * ((a(y,z,u) * x) \ (w * x)) = w * (a(y,z,u) \ x). (x * (a(y,z,u) \ w)) / w = (a(y,z,u) * w) \ (w * x). (x * (a(y,z,u) \ w)) / w != v5 | w \ ((a(y,z,u) \ w) * x) = v5. x \ ((a(y,z,u) \ x) * w) = (a(y,z,u) * x) \ (x * w). (a(x,y,z) * u) \ (u * w) = u \ ((a(x,y,z) \ u) * w). (a(x,y,z) \ u) \ (w \ ((a(x,y,z) \ w) * u)) = a(a(x,y,z) * u,a(x,y,z),w). a(x,a(y,z,u),w) = a(a(y,z,u) * w,a(y,z,u),x). a(a(x,y,z) * u,a(x,y,z),w) = a(w,a(x,y,z),u). a(x * a(y,z,u),a(y,z,u),w) = a(x,a(y,z,u),w). a(x,a(y,z,u),w) = a(w,a(y,z,u),a(y,z,u) * x). a(x,a(y,z,u),a(y,z,u) * w) = a(w,a(y,z,u),x). a(x,a(y,z,u),a(y,z,u) * w) != v5 | a(w,a(y,z,u),x * a(y,z,u)) = v5. a(x,a(y,z,u),w * a(y,z,u)) = a(x,a(y,z,u),w). x * a(y * a(z,u,w),a(z,u,w),x) = L(x,a(z,u,w),y). x * a(y,a(z,u,w),x) = L(x,a(z,u,w),y). a(a(x,y,z) * ((u * T(a(x,y,z) * w,K(v5,v6) * u)) \ v7),v8,v9) = a((T(w,K(v6,v5)) * u) \ v7,v8,v9). a(a(x,y,z) * ((T(a(x,y,z) * u,K(w,v5)) * v6) \ v7),v8,v9) = a((T(u,K(w,v5)) * v6) \ v7,v8,v9). a((((a(x,y,z) * u) * w) \ v5) * a(x,y,z),v6,v7) = a((T(u,K(v8,v9)) * w) \ v5,v6,v7). a((T(x,K(y,z)) * u) \ w,v5,v6) = a((((a(v7,v8,v9) * x) * u) \ w) * a(v7,v8,v9),v5,v6). a((((a(x,y,z) * u) * w) \ v5) * a(x,y,z),v6,v7) != v8 | a((u * w) \ v5,v6,v7) = v8. a((x * y) \ ((x * z) * y),u,w) = a(L(z,x,a(v5,v6,v7)),u,L(w,a(v5,v6,v7) * x,y)). a(L(x,y,a(z,u,w)),v5,L(v6,a(z,u,w) * y,v7)) = a((y * v7) \ ((y * x) * v7),v5,v6). x != a((y * z) \ ((y * u) * z),w,v5) | a(u,w,L(v5,y,z)) = x. a(x,y,L(z,u,w)) = a(L(x,u,a(v5,v6,v7)),y,L(z,a(v5,v6,v7) * u,w)). a(L(x,y,a(z,u,w)),v5,L(v6,a(z,u,w) * y,v7)) = a(x,v5,L(v6,y,v7)). a(x,y,L(z,a(u,w,v5) * v6,v7)) = a(x,y,L(z,v6,v7)). x * y != a(z,u,L(w,a(v5,v6,v7) * v8,v9)) | x \ a(z,u,L(w,v8,v9)) = y. a(x,y,z) \ a(x,y,L(z,u,w)) = a(w,a(v5,v6,v7) * u,a(x,y,z)). a(x,a(y,z,u) * w,a(v5,v6,v7)) = a(v5,v6,v7) \ a(v5,v6,L(v7,w,x)). a(x,y,L(z,u,w)) = a(x,y,L(z,L(u,v5,v6),w)). a(x,y,L(z,L(u,w,v5),v6)) = a(x,y,L(z,u,v6)). L(a(x,y,L(z,u,w)) \ a(x,y,z),v5,v6) = a(w,L(u,v7,v8),a(x,y,z)). x != a(y,z,u) \ a(y,z,L(u,w,v5)) | a(v5,w,a(y,z,u)) = x. a(x,y,a(z,u,w)) = a(x,a(v5,v6,v7) * y,a(z,u,w)). a(x,a(y,z,u) * w,a(v5,v6,v7)) = a(x,w,a(v5,v6,v7)). a(x,(y * z) * R(u,y,z),a(w,v5,v6)) = a(x,(y * z) * u,a(w,v5,v6)). a(x,y,a(z,u,w)) * a(x,y,a(v5,v6,v7)) = x \ L(x,y,a(z,u,w) * a(v5,v6,v7)). x * a(y,z,a(u,w,x)) = L(x,a(v5,v6,v7) * z,a(u,w,y)). L(x,a(y,z,u) * w,a(v5,v6,v7)) = x * a(v7,w,a(v5,v6,x)). L(x,a(y,z,u) * w,a(v5,v6,v7)) != v8 | L(x,w,a(v5,v6,v7)) = v8. L(x,y,a(z,u,w)) = L(x,y * a(v5,v6,v7),a(w,u,z)). L(x,y * a(z,u,w),a(v5,v6,v7)) = L(x,y,a(v7,v6,v5)). L(x,y,a(z,u,w)) = L(x,L(y,v5,v6),a(z,u,w)). L(x,L(y,z,u),a(w,v5,v6)) = L(x,y,a(w,v5,v6)). L(L(x,y,a(z,u,w)),y,a(v5,v6,v7)) = L(x,y,a(v5,v6,v7) * a(z,u,w)). L(x,y,a(z,x,L(y,u,w))) \ (z \ ((z * x) * L(y,u,w))) = L(y,u,w) * a(z,x,L(y,u,w)). L(x,y,a(z,u,w) * a(v5,v6,v7)) = L(L(x,v6,a(v5,y,v7)),y,a(w,u,z)). L(L(x,y,a(z,u,w)),u,a(v5,v6,v7)) = L(x,u,a(v7,v6,v5) * a(z,y,w)). a(x,y,a(z,u,w)) = a(x,L(y,v5,v6),a(z,u,w)). a(x,L(y,z,u),a(w,v5,v6)) = a(x,y,a(w,v5,v6)). a(x,L(y,z,u),a(w,v5,v6)) != v7 | a(x,y,a(w,v5,v6)) = v7. a(x,y,a(z,u,w)) != v5 | a(z,u,a(w,y,x)) = v5. a(x,y,a(z,L(u,w,v5),v6)) = a(v6,u,a(x,y,z)). a(x,L(y \ z,y,y),u) != w | a(x,y * z,u) = w. a(x,y * z,a(u,w,v5)) = a(x,y \ z,a(u,w,v5)). a(x,y \ z,a(u,w,v5)) = a(x,y * z,a(u,w,v5)). a(x,(y \ (z \ u)) \ 1,a(w,v5,v6)) = a(x,((z * y) \ u) \ 1,a(w,v5,v6)). a(x,((y * z) \ u) \ 1,a(w,v5,v6)) = a(x,(z \ (y \ u)) \ 1,a(w,v5,v6)). a(x,y,a(z,L(u,w,v5),v6)) != v7 | a(v6,u,a(x,y,z)) = v7. a(x,y,a(z,u,w)) != v5 | a(w,u,a(x,y,z)) = v5. a(a(x,y,z),u,w) != v5 | a(x,y,a(w,u,z)) = v5. a(x,y * R(z,u,w),v5) != v6 | a(x,y * L(z,u,w),v5) = v6. a(x,(y * z) * L(u,y,z),a(w,v5,v6)) = a(x,(y * z) * u,a(w,v5,v6)). x \ (L(L(1 / x,y,a(z,u,w)),y,a(v5,v6,v7)) \ 1) = L(x,y,a(v5,v6,v7) * a(z,u,w)) \ x. L(1 / L(x,y,a(z,u,w) * a(v5,v6,v7)),L(x,y,a(v5,v6,v7)),L(x,y,a(v5,v6,v7))) = L(L(x,y,a(v5,v6,v7)),y,a(z,u,w)) \ 1. a(x,y * (T(z,y) * u),a(w,v5,v6)) = a(x,(z * y) * u,a(w,v5,v6)). a(x,y * (T(z,u) * w),v5) != v6 | a(x,y * (z * w),v5) = v6. a(x,y * (z * u),a(w,v5,v6)) = a(x,(z * y) * u,a(w,v5,v6)). a(x,(y * z) * u,a(w,v5,v6)) = a(x,z * (y * u),a(w,v5,v6)). x != a(y,z \ 1,u) | a(y,z,u) = x. a(x,y \ (z \ u),a(w,v5,v6)) = a(x,((z * y) \ u) \ 1,a(w,v5,v6)). a(x,((y * z) \ u) \ 1,a(w,v5,v6)) = a(x,z \ (y \ u),a(w,v5,v6)). x != a(y,z \ u,a(w,v5,v6)) | a(y,z * u,a(w,v5,v6)) = x. a(x,y * (z \ u),a(w,v5,v6)) = a(x,((z * y) \ u) \ 1,a(w,v5,v6)). a(x,((y * z) \ u) \ 1,a(w,v5,v6)) = a(x,z * (y \ u),a(w,v5,v6)). a(x,(y * z) \ u,a(w,v5,v6)) = a(x,z * (y \ u),a(w,v5,v6)). a(x,y \ z,a(u,w,v5)) != v6 | a(x,y * z,a(u,w,v5)) = v6. a(x,(y * z) * u,a(w,v5,v6)) = a(x,z * (y \ u),a(w,v5,v6)). a(x,(y * z) * u,a(w,v5,v6)) != v7 | a(x,z * (y * u),a(w,v5,v6)) = v7. a(x,y * (z * u),a(w,v5,v6)) = a(x,y * (z \ u),a(w,v5,v6)). a(x,y * (z \ u),a(w,v5,v6)) = a(x,y * (z * u),a(w,v5,v6)). a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,v7)) = z \ L(z,u,a(w,y,x) * a(v5,v6,v7)). a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,w)) = z \ L(z,u,w * L(L(w,y,x),v6,v5)). a(x,y,a(z,u,w)) * a(v5,v6,a(z,u,w)) != v7 | a(z,u,w) \ a(z,u,L(L(w,v6,v5),y,x)) = v7. a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = x \ L(x,y,z * L(L(z,v5,v6),u,w)). L(x,y,a(z,x,y)) \ (z \ ((z * x) * L(y,u,w))) = L(y,u,w) * a(z,x,L(y,u,w)). x != L(y,z,u) * a(w,v5,L(y,z,u)) | L(y * a(w,v5,y),z,u) = x. L(x * a(y,z,x),u,w) = L(z,x,a(y,z,x)) \ (y \ ((y * z) * L(x,u,w))). L(x,y,a(z,x,y)) \ (z \ ((z * x) * L(y,u,w))) = L(y * a(z,x,y),u,w). L(x,y,a(z,x,y)) \ (z \ (x * (T(z,x) * y))) = L(y * a(z,x,y),z,x). x != L(y,z,a(u,w,v5)) | L(y,w,a(u,z,v5)) = x. L(x * a(y,a(z,u,w),x),u,a(z,y,w)) = L(a(z,u,w),x,a(y,a(z,u,w),x)) \ (y \ (a(z,u,w) * (T(y,a(z,u,w)) * x))). L(a(x,y,z),u,a(w,a(x,y,z),u)) \ (w \ (a(x,y,z) * (T(w,a(x,y,z)) * u))) = L(u * a(w,a(x,y,z),u),y,a(x,w,z)). x != L(y * a(z,u,w),v5,v6) | L(a(z,u,w) * y,v5,v6) = x. L(a(x,y,z) * z,x,y) = L(y,z,a(x,y,z)) \ (x \ (y * (T(x,y) * z))). L(x,y,a(z,x,y)) \ (z \ (x * (T(z,x) * y))) = L(a(z,x,y) * y,z,x). a(x \ L(y * a(z,T(u,w),y),z,T(u,w)),v5,v6) = a(x \ (L(T(u,w),y,a(z,T(u,w),y)) \ (z \ (u * (T(z,T(u,w)) * y)))),v5,v6). a(x \ (L(T(y,z),u,a(w,T(y,z),u)) \ (w \ (y * (T(w,T(y,z)) * u)))),v5,v6) = a(x \ L(u * a(w,T(y,z),u),w,T(y,z)),v5,v6). L(x,L(y,z,u) \ y,a(w,x,a(u,z,y))) \ (w \ (x * (T(w,x) * (L(y,z,u) \ y)))) = L(a(w,x,L(y,z,u) \ y) * (L(y,z,u) \ y),w,x). L(L(1 / x,y,a(z,u,w) * a(v5,v6,v7)),L(x,y,a(v5,v6,v7)),L(x,y,a(v5,v6,v7))) = L(L(x,y,a(v5,v6,v7)),y,a(z,u,w)) \ 1. a(x,y,z) \ (u \ (a(x,y,z) * (T(u,a(x,y,z)) * w))) = L(w * a(u,a(x,y,z),w),y,a(x,u,z)). L(x * a(y,a(z,u,w),x),u,a(z,y,w)) = a(z,u,w) \ (y \ (a(z,u,w) * (T(y,a(z,u,w)) * x))). L(x * a(y,a(z,u,w),x),u,a(z,y,w)) = a(z,u,w) \ (y \ (a(z,u,w) * (y * x))). x != a(y,z,u) \ (w \ (a(y,z,u) * v5)) | a(y,z,u) * (w \ (a(y,z,u) \ v5)) = x. a(x,y,z) * (u \ (a(x,y,z) \ (u * w))) = L(w * a(u,a(x,y,z),w),y,a(x,u,z)). L(x * a(y,a(z,u,w),x),u,a(z,y,w)) = a(z,u,w) * (y \ (a(z,u,w) \ (y * x))). L(L(x,a(y,z,u),w),z,a(y,w,u)) = a(y,z,u) * (w \ (a(y,z,u) \ (w * x))). a(x,y,z) * (u \ (a(x,y,z) \ (u * w))) = L(L(w,a(x,y,z),u),y,a(x,u,z)). L(L(1 / x,y,a(z,u,w) * a(v5,v6,v7)),x,x) = L(L(x,y,a(v5,v6,v7)),y,a(z,u,w)) \ 1. L(L(1 / x,y,z),x,x) != u | L(x \ 1,y,z) = u. L(x \ 1,y,a(z,u,w) * a(v5,v6,v7)) = L(L(x,y,a(v5,v6,v7)),y,a(z,u,w)) \ 1. L(L(x,y,a(z,u,w)),y,a(v5,v6,v7)) \ 1 = L(x \ 1,y,a(v5,v6,v7) * a(z,u,w)). x \ L((1 / x) \ 1,y,a(z,u,w) * a(v5,v6,v7)) = L(x,y,a(z,u,w) * a(v5,v6,v7)) \ x. x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) = L(x,y,a(z,u,w) * a(v5,v6,v7)) \ x. L(x,y,a(z,u,w) * a(v5,v6,v7)) \ x = x \ L(x,y,a(z,u,w) * a(v5,v6,v7)). a(a(x,y,z) * a(u,w,v5),v6,v7) = L(v7 \ L(v7,v6,a(x,y,z) * a(u,w,v5)),v7,v6). L(x \ L(x,y,a(z,u,w) * a(v5,v6,v7)),x,y) = a(a(z,u,w) * a(v5,v6,v7),y,x). x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) = a(a(z,u,w) * a(v5,v6,v7),y,x). x != a(a(y,z,u) * a(w,v5,u),v6,v7) | a(u * L(L(u,v5,w),z,y),v6,v7) = x. a(x * L(L(x,y,z),u,w),v5,v6) = v6 \ L(v6,v5,a(w,u,x) * a(z,y,x)). x \ L(x,y,a(z,u,w) * a(v5,v6,w)) = a(w * L(L(w,v6,v5),u,z),y,x). x \ L(x,y,a(z,u,w) * a(v5,v6,v7)) != v8 | a(x,y,a(z,u,w)) * a(x,y,a(v5,v6,v7)) = v8. a(x,y,a(z,u,w)) * a(x,y,a(v5,v6,w)) = a(w * L(L(w,v6,v5),u,z),y,x). x \ L(x,y,z * L(L(z,u,w),v5,v6)) = a(z * L(L(z,u,w),v5,v6),y,x). x \ L(x,y,z * L(L(z,u,w),v5,v6)) != v7 | a(x,y,z) \ a(x,y,L(L(z,v5,v6),u,w)) = v7. a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) = a(z * L(L(z,v5,v6),u,w),y,x). a(x,y,a(z,u,w)) * a(v5,v6,a(x,y,w)) = a(w * L(L(w,u,z),v6,v5),y,x). a(x * L(L(x,y,z),z,y),u,w) * a(z,y,a(w,u,x)) = (y * a(w,u,a(z,y,x))) \ L(y,a(w,u,x),z). a(x,y,z) \ a(x,y,L(L(z,u,w),v5,v6)) != v7 | a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = v7. a(x,y,L(z,u,w)) \ a(x,y,L(z,v5,v6)) = a(z * L(L(z,v5,v6),u,w),y,x). x * y != a(z,u,a(w,v5,v6)) * a(v7,v8,a(z,u,v6)) | x \ a(v6 * L(L(v6,v5,w),v8,v7),u,z) = y. x \ a(y * L(L(y,z,u),w,v5),v6,v7) = (x \ a(v5,w,a(v7,v6,y))) * a(v7,v6,a(u,z,y)). (x \ a(y,z,a(u,w,v5))) * a(u,w,a(v6,v7,v5)) = x \ a(v5 * L(L(v5,v7,v6),z,y),w,u). a(x,y,a(z,u,w)) * (v5 \ ((v6 \ ((v6 * v5) * a(x,y,w))) / a(x,y,w))) = a(w * L(L(w,u,z),v5,v6),y,x). x * L(x \ a(y * L(L(y,x,z),x,z),u,w),z,a(w,u,y)) = (x * a(w,u,a(z,x,y))) \ L(x,a(w,u,y),z). a(x,y,a(z,u,w)) * (v5 \ (a(x,y,w) \ (v6 \ ((v6 * v5) * a(x,y,w))))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) * (v5 \ (a(x,y,w) * (v6 \ (a(x,y,w) \ (v6 * v5))))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) * (v5 \ L(L(v5,a(x,y,w),v6),y,a(x,v6,w))) = a(w * L(L(w,u,z),v5,v6),y,x). x * L(x \ a(y * y,z,u),w,a(u,z,y)) = (x * a(u,z,a(w,x,y))) \ L(x,a(u,z,y),w). (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u) = x * L(x \ a(w * w,z,y),u,a(y,z,w)). (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u) = x * L(x \ 1,u,a(y,z,w)). x \ L(x,y,a(z,u,w)) = (x * a(z,u,a(y,x,w))) \ L(x,a(z,u,w),y). (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u) = x \ L(x,u,a(y,z,w)). (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u) != v5 | a(x,u,a(y,z,w)) = v5. a(x \ (L(T(y,z),u,a(w,T(y,z),u)) \ (w \ (y * (T(w,T(y,z)) * u)))),v5,v6) = a(x \ L(u * a(w,y,u),w,T(y,z)),v5,v6). a(x \ (L(T(y,z),u,a(w,T(y,z),u)) \ (w \ (y * (T(w,T(y,z)) * u)))),v5,v6) = a(x \ L(u * a(w,y,u),w,y),v5,v6). x != a(y \ L(z * a(u,w,z),v5,v6),v7,v8) | a(y \ L(L(z,w,u),v5,v6),v7,v8) = x. a(x \ L(L(y,z,u),u,z),w,v5) = a(x \ (L(T(z,v6),y,a(u,T(z,v6),y)) \ (u \ (z * (T(u,T(z,v6)) * y)))),w,v5). a(x \ (L(T(y,z),u,a(w,T(y,z),u)) \ (w \ (y * (T(w,T(y,z)) * u)))),v5,v6) = a(x \ L(L(u,y,w),w,y),v5,v6). a(x \ (L(T(y,z),u,a(w,y,u)) \ (w \ (y * (T(w,T(y,z)) * u)))),v5,v6) = a(x \ L(L(u,y,w),w,y),v5,v6). a(x \ (y \ (z \ (u * (T(w,v5) * v6)))),v7,v8) != v9 | a(x \ (y \ (z \ (u * (w * v6)))),v7,v8) = v9. a(x \ (L(T(y,z),u,a(w,y,u)) \ (w \ (y * (w * u)))),v5,v6) = a(x \ L(L(u,y,w),w,y),v5,v6). a(x \ (L(y,z,a(u,w,v5)) \ v6),v7,v8) != v9 | a(x \ (y \ v6),v7,v8) = v9. a(x \ (T(y,z) \ (u \ (y * (u * w)))),v5,v6) = a(x \ L(L(w,y,u),u,y),v5,v6). a(x \ (y \ (z \ (y * (z * u)))),w,v5) = a(x \ L(L(u,y,z),z,y),w,v5). a(x \ (y \ T(y * T(y \ (z / u),w),u)),v5,v6) = a(x \ L(L(T(u \ (y \ z),w),y,u),u,y),v5,v6). a(x \ L(L(T(y \ (z \ u),w),z,y),y,z),v5,v6) = a(x \ (z \ T(z * T(z \ (u / y),w),y)),v5,v6). a(x \ (y \ (z \ (y * (z * (u * K(y * u,z)))))),w,v5) = a(x \ L((z * y) \ ((y * u) * z),z,y),w,v5). x != a(y \ (z \ T(u,w)),v5,v6) | a(y \ (z \ u),v5,v6) = x. a(x \ (y \ (y * T(y \ (z / u),w))),v5,v6) = a(x \ L(L(T(u \ (y \ z),w),y,u),u,y),v5,v6). a(x \ L(L(T(y \ (z \ u),w),z,y),y,z),v5,v6) = a(x \ (z \ (z * T(z \ (u / y),w))),v5,v6). a(x \ L(L(T(y \ (z \ u),w),z,y),y,z),v5,v6) = a(x \ T(z \ (u / y),w),v5,v6). x != a(y \ T(z,u),w,v5) | a(y \ z,w,v5) = x. a(x \ (y \ (z / u)),w,v5) = a(x \ L(L(T(u \ (y \ z),v6),y,u),u,y),w,v5). a(x \ L(L(T(y \ (z \ u),w),z,y),y,z),v5,v6) = a(x \ (z \ (u / y)),v5,v6). x != a(y \ (z \ (u / w)),v5,v6) | a(y \ (z \ (w \ u)),v5,v6) = x. a(x \ (y \ (z \ u)),w,v5) = a(x \ L(L(T(z \ (y \ u),v6),y,z),z,y),w,v5). a(x \ L(L(T(y \ (z \ u),w),z,y),y,z),v5,v6) = a(x \ (z \ (y \ u)),v5,v6). a(x \ L(T((y * z) \ u,w),y,z),v5,v6) = a(x \ (y \ (z \ u)),v5,v6). a(x \ L((y * z) \ u,y,z),w,v5) = a(x \ (y \ (z \ u)),w,v5). a(x \ (y \ ((z \ (y * (z * u))) * K(y * u,z))),w,v5) = a(x \ L((z * y) \ ((y * u) * z),z,y),w,v5). a(x \ ((y \ (z \ (y * (z * u)))) * K(y * u,z)),w,v5) = a(x \ L((z * y) \ ((y * u) * z),z,y),w,v5). a((x \ (y \ (z \ (y * (z * u))))) * K(y * u,z),w,v5) = a(x \ L((z * y) \ ((y * u) * z),z,y),w,v5). a(x \ (y \ (z \ (y * (z * u)))),w,v5) = a(x \ L((z * y) \ ((y * u) * z),z,y),w,v5). a(x \ L((y * z) \ ((z * u) * y),y,z),w,v5) = a(x \ (z \ (y \ (z * (y * u)))),w,v5). x != a(y \ (z \ (u \ (z * (u * w)))),v5,v6) | a(y \ L(L(w,z,u),u,z),v5,v6) = x. a(x \ L(L(y,z,u),u,z),w,v5) = a(x \ L((u * z) \ ((z * y) * u),u,z),w,v5). a(x \ L((y * z) \ ((z * u) * y),y,z),w,v5) = a(x \ L(L(u,z,y),y,z),w,v5). a(x \ L((y * z) \ u,y,z),w,v5) != v6 | a(x \ (y \ (z \ u)),w,v5) = v6. a(x \ (y \ (z \ ((z * u) * y))),w,v5) = a(x \ L(L(u,z,y),y,z),w,v5). a((x \ 1) \ (y \ (z \ ((z * x) * y))),u,w) != v5 | a(a(z,x,y),u,w) = v5. a(a(x,y,z),u,w) = a((y \ 1) \ L(L(y,x,z),z,x),u,w). a((x \ 1) \ L(L(x,y,z),z,y),u,w) = a(a(y,x,z),u,w). L(x,y,z \ (u \ (w \ ((w * v5) * u)))) = a(z \ L(L(v5,w,u),u,w),y,y \ (x \ y)) \ x. a(x \ L(L(y,z,u),u,z),w,w \ (v5 \ w)) \ v5 = L(v5,w,x \ (u \ (z \ ((z * y) * u)))). a(x * L(L(x,y,z),z,y),u,w) = a(a(z,x,y),u,w). L(x,y,z \ (u \ (w \ ((w * v5) * u)))) != v6 | L(x,y,z \ L(L(v5,w,u),u,w)) = v6. L(x,y,z \ L(L(z \ 1,u,w),w,u)) = L(x,y,a(u,z,w)). L(x,y,L(L(z * 1,u,w),w,u) * z) = L(x,y,a(u,z,w)). L(x,y,L(L(z,u,w),w,u) * z) = L(x,y,a(u,z,w)). L(x,y,z * L(L(z,u,w),w,u)) = L(x,y,a(u,z,w)). x \ (y \ (x * (T(y,x) * (L(z,u,w) \ z)))) = L(a(y,x,L(z,u,w) \ z) * (L(z,u,w) \ z),y,x). L(a(x,y,L(z,u,w) \ z) * (L(z,u,w) \ z),x,y) = y \ (x \ (y * (T(x,y) * (L(z,u,w) \ z)))). L(a(x,y,L(z,u,w) \ z) * (L(z,u,w) \ z),x,y) = y \ (x \ (y * T(x * (L(z,u,w) \ z),y))). L(a(x,y,L(z,u,w) \ z) * (L(z,u,w) \ z),x,y) = y \ (x \ ((x * (L(z,u,w) \ z)) * y)). L(a(x,y,a(z,u,w)) * (L(w,u,z) \ w),x,y) = y \ (x \ ((x * (L(w,u,z) \ w)) * y)). L(L(L(x,y,z) \ x,u,w),w,u) = u \ (w \ ((w * (L(x,y,z) \ x)) * u)). x \ (y \ ((y * (L(z,u,w) \ z)) * x)) = L(L(L(z,u,w) \ z,x,y),y,x). L(L(L(x,y,z) \ x,u,w),w,u) * (x \ L(x,y,z)) = a(w,a(z,y,x),u). L(x,y,L(L(z,u,w),w,u)) \ L(x,y,z) = a(w,a(z,y,x),u). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = (L(x \ L(x,y,z),u,w) \ L(L(x \ L(x,y,z),u,w),v5,v6)) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = L((x \ L(x,y,z)) \ L(x \ L(x,y,z),v5,v6),u,w) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = L(x \ (L(x,y,z) * L(L(x,y,z) \ x,v5,v6)),u,w) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = L(x \ (a(a(z,y,x),v5,v6) * x),u,w) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = L(a(a(z,y,x),v5,v6),u,w) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = a(a(z,y,x),v5,v6) * L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = a(a(z,y,x),v5,v6) * L((L(x,y,z) \ x) * L(x \ L(x,y,z),u,w),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = a(a(z,y,x),v5,v6) * L(a(a(z,y,x),u,w),v7,v8). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ L(L(x \ L(x,y,z),u,w) \ 1,u,w),v7,v8)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x \ L(x,y,z),u,w) \ 1) \ (L(x,y,z) \ x),v7,v8)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L((L(x,y,z) \ x) * L(x \ L(x,y,z),u,w),v7,v8)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ L(a(a(z,y,x),u,w),v7,v8)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * ((L(x \ L(x,y,z),u,w) \ 1) \ a(a(z,y,x),u,w)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * L(((x \ L(x,y,z)) \ 1) \ a(a(z,y,x),u,w),u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * L((L(x,y,z) \ x) \ a(a(z,y,x),u,w),u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * L(a(a(z,y,x),u,w) * (x \ L(x,y,z)),u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w) \ 1,v5,v6) * L(L(x \ L(x,y,z),u,w),u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w),v5,v6) * L(1 / L(x \ L(x,y,z),u,w),u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w),v5,v6) * L(L(x \ L(x,y,z),u,w) \ 1,u,w) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(L(x \ L(x,y,z),u,w),v5,v6) * (L(x,y,z) \ x) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). x * (L(y,z,u) \ y) != w | (y \ L(y,z,u)) \ x = w. (x \ L(x,y,z)) \ L(L(x \ L(x,y,z),u,w),v5,v6) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). x \ (L(x,y,z) * L(L(L(x,y,z) \ x,u,w),v5,v6)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(x,y,z) * (x \ L(L(L(x,y,z) \ x,u,w),v5,v6)) = a(a(z,y,x),v5,v6) * a(a(z,y,x),u,w). L(x,y,z) * (x \ L(L(L(x,y,z) \ x,u,w),v5,v6)) = a(z,y,a(v6,v5,x)) * a(a(z,y,x),u,w). L(x,y,z) * (x \ L(L(L(x,y,z) \ x,u,w),v5,v6)) = a(z,y,a(v6,v5,x)) * a(z,y,a(w,u,x)). L(x,y,z) * (L(x,y,L(L(z,u,w),v5,v6)) \ 1) = a(z,y,a(v6,v5,x)) * a(z,y,a(w,u,x)). L(x,y,L(L(z,u,w),v5,v6)) \ L(x,y,z) = a(z,y,a(v6,v5,x)) * a(z,y,a(w,u,x)). x != a(y,z,a(u,w,v5)) * a(y,z,a(v6,v7,v5)) | a(v5 * L(L(v5,v7,v6),w,u),z,y) = x. a(x * L(L(x,y,z),u,w),v5,v6) = L(x,v5,L(L(v6,y,z),u,w)) \ L(x,v5,v6). L(x,y,L(L(z,u,w),v5,v6)) \ L(x,y,z) = a(x * L(L(x,u,w),v5,v6),y,z). L(x,y,L(L(z,u,w),w,u)) \ L(x,y,z) != v5 | a(w,a(z,y,x),u) = v5. a(x,a(y,z,u),w) = a(u * L(L(u,w,x),x,w),z,y). a(x * L(L(x,y,z),z,y),u,w) = a(z,a(w,u,x),y). a(x * L(L(x,y,z),z,y),u,w) != v5 | a(a(z,x,y),u,w) = v5. a(a(x,y,z),u,w) = a(x,a(w,u,y),z). a(x,a(y,z,u),w) * a(x,w,a(y,z,u)) = (w * a(y,z,a(x,w,u))) \ L(w,a(y,z,u),x). (x * a(y,z,a(u,x,w))) \ L(x,a(y,z,w),u) = a(u,a(y,z,w),x) * a(u,x,a(y,z,w)). a(x,y,a(z,u,w)) = a(x,a(z,u,y),w). a(x,a(y,z,u),w) = a(x,u,a(y,z,w)). x * a(y,z,a(u,w,x)) = L(x,a(u,w,z),y). L(x,y,a(z,u,w)) = L(x,a(z,u,y),w). L(x,a(y,z,u),w) = L(x,u,a(y,z,w)). a(x,y,a(z,u,w)) * (v5 \ L(L(v5,w,a(x,y,v6)),y,a(x,v6,w))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) = a(y,a(z,u,w),x) * a(y,x,a(z,u,w)). a(x,a(y,z,u),w) * a(x,w,a(y,z,u)) = a(w,x,a(y,z,u)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(x,v7,a(y,L(z \ (u \ z),w,v5),v6)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,y,a(z,u,w)) * (v5 \ L(v5,y,a(w,v6,x) * a(x,w,v6))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) * (v5 \ L(v5,y,x * L(L(x,v6,w),w,v6))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) * (v5 \ L(v5,y,a(v6,x,w))) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,y,a(z,u,w)) * a(v5,y,a(v6,x,w)) = a(w * L(L(w,u,z),v5,v6),y,x). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,z \ (u \ z),a(x,v7,y)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,z * (u \ z),a(x,v7,y)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,z * (u * z),a(x,v7,y)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,L(u,z,z),a(x,v7,y)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v7,x,a(y,L((z * u) \ z,w,v5),v6)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v7,x,a(y,L(z \ (u \ z),w,v5),v6)). x != a(y,z,a(u,L(w,v5,v6),v7)) | a(v7,w,a(y,z,u)) = x. a(x,y \ (z \ y),a(u,w,v5)) = a(w,a(v5,L(y \ (z \ y),v6,v7),x),u) * a(x,z,a(w,u,v5)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v6,z \ (u \ z),a(v7,x,y)). a(x,y * (z \ y),a(u,w,v5)) = a(w,a(v5,L(y \ (z \ y),v6,v7),x),u) * a(x,z,a(w,u,v5)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v6,z * (u \ z),a(v7,x,y)). x != a(y,z * (u \ w),a(v5,v6,v7)) | a(y,z * (u * w),a(v5,v6,v7)) = x. a(x,y * (z * y),a(u,w,v5)) = a(w,a(v5,L(y \ (z \ y),v6,v7),x),u) * a(x,z,a(w,u,v5)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v6,z * (u * z),a(v7,x,y)). x != a(y,z * (u * z),w) | a(y,L(u,z,z),w) = x. a(x,L(y,z,z),a(u,w,v5)) = a(w,a(v5,L(z \ (y \ z),v6,v7),x),u) * a(x,y,a(w,u,v5)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v6,L(u,z,z),a(v7,x,y)). x != a(y,L(z,u,w),a(v5,v6,v7)) | a(y,z,a(v5,v6,v7)) = x. a(x,y,a(z,u,w)) = a(u,a(w,L(v5 \ (y \ v5),v6,v7),x),z) * a(x,y,a(u,z,w)). a(x,a(y,L(z \ (u \ z),w,v5),v6),v7) * a(v6,u,a(x,v7,y)) = a(v6,u,a(v7,x,y)). a(x,y,a(z,L(u \ (w \ u),v5,v6),v7)) * a(y,w,a(x,v7,z)) = a(y,w,a(v7,x,z)). a(x,y \ (z \ y),a(u,w,v5)) * a(w,z,a(u,x,v5)) = a(w,z,a(x,u,v5)). a(x,y,a(z,u,w)) * a(u,y,a(z,x,w)) = a(u,y,a(x,z,w)). a(x,y,a(z,u,w)) * a(v5,y,a(v6,x,w)) != v7 | a(w * L(L(w,u,z),v5,v6),y,x) = v7. a(x * L(L(x,y,z),y,z),u,w) = a(y,u,a(w,z,x)). a(x * L(L(x,y,z),u,w),v5,v6) != v7 | a(v6,v5,L(x,u,w)) \ a(v6,v5,L(x,y,z)) = v7. a(x,y,L(z,u,w)) \ a(x,y,L(z,u,w)) = a(u,y,a(x,w,z)). 1 = a(x,y,a(z,u,w)). a(x,y,a(z,u,w)) = 1. x * a(y,z,a(u,w,v5)) != 1 | 1 = x. 1 = a(a(x,y,z),u,w). end_of_list.